%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : CSR132^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:16:07 AM UTC 2026
% Result : Theorem 24.70s 4.39s
% Output : CNFRefutation 4.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 64
% Number of leaves : 10
% Syntax : Number of formulae : 2327 ( 48 unt; 0 typ; 0 def)
% Number of atoms : 28382 (12380 equ; 0 cnn)
% Maximal formula atoms : 7 ( 12 avg)
% Number of connectives : 32993 (7323 ~;8412 |; 15 &;17243 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 7798 (7798 >; 0 *; 0 +; 0 <<)
% Number of symbols : 161 ( 158 usr; 13 con; 0-2 aty)
% Number of variables : 14405 (3193 ^;11185 !; 27 ?;14405 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_num,type,
num: $tType ).
thf(tp_holdsDuring_THFTYPE_IiooI,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(tp_lAnna_THFTYPE_i,type,
lAnna_THFTYPE_i: $i ).
thf(tp_lBen_THFTYPE_i,type,
lBen_THFTYPE_i: $i ).
thf(tp_lBill_THFTYPE_i,type,
lBill_THFTYPE_i: $i ).
thf(tp_lBob_THFTYPE_i,type,
lBob_THFTYPE_i: $i ).
thf(tp_lMary_THFTYPE_i,type,
lMary_THFTYPE_i: $i ).
thf(tp_lSue_THFTYPE_i,type,
lSue_THFTYPE_i: $i ).
thf(tp_lYearFn_THFTYPE_IiiI,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(tp_likes_THFTYPE_IiioI,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_n2009_THFTYPE_i,type,
n2009_THFTYPE_i: $i ).
thf(tp_parent_THFTYPE_IiioI,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_sK100_SY93,type,
sK100_SY93: ( $i > $i > $o ) > $i ).
thf(tp_sK101_SY94,type,
sK101_SY94: ( $i > $i > $o ) > $i > $i ).
thf(tp_sK102_SY95,type,
sK102_SY95: ( $i > $i > $o ) > $i > $i ).
thf(tp_sK103_SX0,type,
sK103_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK104_SX0,type,
sK104_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK105_SY96,type,
sK105_SY96: ( $i > $i > $o ) > $i ).
thf(tp_sK106_SX0,type,
sK106_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK107_SY97,type,
sK107_SY97: ( $i > $i > $o ) > $i > $i ).
thf(tp_sK108_SY98,type,
sK108_SY98: ( $i > $i > $o ) > $i > $i ).
thf(tp_sK109_SX0,type,
sK109_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK10_SV10,type,
sK10_SV10: ( $i > $i > $o ) > $i ).
thf(tp_sK110_SX0,type,
sK110_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK111_SY99,type,
sK111_SY99: ( $i > $i > $o ) > $i ).
thf(tp_sK112_SX0,type,
sK112_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK113_SY100,type,
sK113_SY100: ( $i > $i > $o ) > $i ).
thf(tp_sK114_SX0,type,
sK114_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK115_SY101,type,
sK115_SY101: ( $i > $i > $o ) > $i ).
thf(tp_sK116_SY102,type,
sK116_SY102: ( $i > $i > $o ) > $i ).
thf(tp_sK117_SY104,type,
sK117_SY104: ( $i > $i > $o ) > $i ).
thf(tp_sK118_SX0,type,
sK118_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK119_SY105,type,
sK119_SY105: ( $i > $i > $o ) > $i ).
thf(tp_sK11_SV11,type,
sK11_SV11: ( $i > $i > $o ) > $i ).
thf(tp_sK120_SY106,type,
sK120_SY106: ( $i > $i > $o ) > $i ).
thf(tp_sK121_SX0,type,
sK121_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK122_SX0,type,
sK122_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK123_SX0,type,
sK123_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK124_SY127,type,
sK124_SY127: ( $i > $i > $o ) > $i ).
thf(tp_sK125_SY128,type,
sK125_SY128: ( $i > $i > $o ) > $i ).
thf(tp_sK126_SX0,type,
sK126_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK127_SY129,type,
sK127_SY129: ( $i > $i > $o ) > $i ).
thf(tp_sK128_SX0,type,
sK128_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK129_SY131,type,
sK129_SY131: ( $i > $i > $o ) > $i ).
thf(tp_sK12_SV12,type,
sK12_SV12: ( $i > $i > $o ) > $i ).
thf(tp_sK130_SY132,type,
sK130_SY132: ( $i > $i > $o ) > $i ).
thf(tp_sK131_SX0,type,
sK131_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK132_SY133,type,
sK132_SY133: ( $i > $i > $o ) > $i ).
thf(tp_sK133_SY134,type,
sK133_SY134: ( $i > $i > $o ) > $i ).
thf(tp_sK134_SY136,type,
sK134_SY136: ( $i > $i > $o ) > $i ).
thf(tp_sK135_SX0,type,
sK135_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK136_SY146,type,
sK136_SY146: ( $i > $i > $o ) > $i ).
thf(tp_sK137_SX0,type,
sK137_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK138_SY150,type,
sK138_SY150: ( $i > $i > $o ) > $i ).
thf(tp_sK139_SY161,type,
sK139_SY161: ( $i > $i > $o ) > $i ).
thf(tp_sK13_SV13,type,
sK13_SV13: ( $i > $i > $o ) > $i ).
thf(tp_sK140_SY162,type,
sK140_SY162: ( $i > $i > $o ) > $i ).
thf(tp_sK141_SY165,type,
sK141_SY165: ( $i > $i > $o ) > $i ).
thf(tp_sK142_SY166,type,
sK142_SY166: ( $i > $i > $o ) > $i ).
thf(tp_sK143_SY193,type,
sK143_SY193: ( $i > $i > $o ) > $i ).
thf(tp_sK144_SY196,type,
sK144_SY196: ( $i > $i > $o ) > $i ).
thf(tp_sK145_SV796,type,
sK145_SV796: ( $i > $i > $o ) > $i ).
thf(tp_sK146_SV797,type,
sK146_SV797: ( $i > $i > $o ) > $i ).
thf(tp_sK147_E,type,
sK147_E: ( $i > $i > $o ) > $i ).
thf(tp_sK14_SV14,type,
sK14_SV14: ( $i > $i > $o ) > $i ).
thf(tp_sK15_SV15,type,
sK15_SV15: ( $i > $i > $o ) > $i ).
thf(tp_sK16_SV16,type,
sK16_SV16: ( $i > $i > $o ) > $i ).
thf(tp_sK17_SV17,type,
sK17_SV17: ( $i > $i > $o ) > $i ).
thf(tp_sK18_SX0,type,
sK18_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK19_SV18,type,
sK19_SV18: ( $i > $i > $o ) > $i ).
thf(tp_sK1_E,type,
sK1_E: $i ).
thf(tp_sK20_SX0,type,
sK20_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK21_SX0,type,
sK21_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK22_SV19,type,
sK22_SV19: ( $i > $i > $o ) > $i ).
thf(tp_sK23_SX0,type,
sK23_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK24_SV20,type,
sK24_SV20: ( $i > $i > $o ) > $i ).
thf(tp_sK25_SV21,type,
sK25_SV21: ( $i > $i > $o ) > $i ).
thf(tp_sK26_SV22,type,
sK26_SV22: ( $i > $i > $o ) > $i ).
thf(tp_sK27_SV23,type,
sK27_SV23: ( $i > $i > $o ) > $i ).
thf(tp_sK28_SV24,type,
sK28_SV24: ( $i > $i > $o ) > $i ).
thf(tp_sK29_SV25,type,
sK29_SV25: ( $i > $i > $o ) > $i ).
thf(tp_sK2_E,type,
sK2_E: $i ).
thf(tp_sK30_SV26,type,
sK30_SV26: ( $i > $i > $o ) > $i ).
thf(tp_sK31_SV27,type,
sK31_SV27: ( $i > $i > $o ) > $i ).
thf(tp_sK32_SV28,type,
sK32_SV28: ( $i > $i > $o ) > $i ).
thf(tp_sK33_SX0,type,
sK33_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK34_SY41,type,
sK34_SY41: ( $i > $i > $o ) > $i ).
thf(tp_sK35_SV29,type,
sK35_SV29: ( $i > $i > $o ) > $i ).
thf(tp_sK36_SV30,type,
sK36_SV30: ( $i > $i > $o ) > $i ).
thf(tp_sK37_SX0,type,
sK37_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK38_SY44,type,
sK38_SY44: ( $i > $i > $o ) > $i ).
thf(tp_sK39_SV31,type,
sK39_SV31: ( $i > $i > $o ) > $i ).
thf(tp_sK3_E,type,
sK3_E: $i ).
thf(tp_sK40_SV32,type,
sK40_SV32: ( $i > $i > $o ) > $i ).
thf(tp_sK41_SV33,type,
sK41_SV33: ( $i > $i > $o ) > $i ).
thf(tp_sK42_SV34,type,
sK42_SV34: ( $i > $i > $o ) > $i ).
thf(tp_sK43_SV35,type,
sK43_SV35: ( $i > $i > $o ) > $i ).
thf(tp_sK44_SV36,type,
sK44_SV36: ( $i > $i > $o ) > $i ).
thf(tp_sK45_SV37,type,
sK45_SV37: ( $i > $i > $o ) > $i ).
thf(tp_sK46_SV38,type,
sK46_SV38: ( $i > $i > $o ) > $i ).
thf(tp_sK47_SX0,type,
sK47_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK48_SX0,type,
sK48_SX0: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK49_SX0,type,
sK49_SX0: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK4_E,type,
sK4_E: $i ).
thf(tp_sK50_SX0,type,
sK50_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK51_SV39,type,
sK51_SV39: ( $i > $i > $o ) > $i ).
thf(tp_sK52_SX0,type,
sK52_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK53_SX0,type,
sK53_SX0: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK54_SX0,type,
sK54_SX0: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK55_SX0,type,
sK55_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK56_SX0,type,
sK56_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK57_SY54,type,
sK57_SY54: ( $i > $i > $o ) > $i ).
thf(tp_sK58_SV40,type,
sK58_SV40: ( $i > $i > $o ) > $i ).
thf(tp_sK59_SX0,type,
sK59_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK5_SV7,type,
sK5_SV7: ( $i > $i > $o ) > $i ).
thf(tp_sK60_SY56,type,
sK60_SY56: ( $i > $i > $o ) > $i ).
thf(tp_sK61_SX0,type,
sK61_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK62_SY57,type,
sK62_SY57: ( $i > $i > $o ) > $i ).
thf(tp_sK63_SV41,type,
sK63_SV41: ( $i > $i > $o ) > $i ).
thf(tp_sK64_SX0,type,
sK64_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK65_SY59,type,
sK65_SY59: ( $i > $i > $o ) > $i ).
thf(tp_sK66_SV42,type,
sK66_SV42: ( $i > $i > $o ) > $i ).
thf(tp_sK67_SV43,type,
sK67_SV43: ( $i > $i > $o ) > $i ).
thf(tp_sK68_SV44,type,
sK68_SV44: ( $i > $i > $o ) > $i ).
thf(tp_sK69_SV45,type,
sK69_SV45: ( $i > $i > $o ) > $i ).
thf(tp_sK6_SX0,type,
sK6_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK70_SV46,type,
sK70_SV46: ( $i > $i > $o ) > $i ).
thf(tp_sK71_SV47,type,
sK71_SV47: ( $i > $i > $o ) > $i ).
thf(tp_sK72_SV48,type,
sK72_SV48: ( $i > $i > $o ) > $i ).
thf(tp_sK73_SX0,type,
sK73_SX0: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK74_SX0,type,
sK74_SX0: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK75_SV49,type,
sK75_SV49: ( $i > $i > $o ) > $i ).
thf(tp_sK76_SX0,type,
sK76_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK77_SY69,type,
sK77_SY69: ( $i > $i > $o ) > $i ).
thf(tp_sK78_SX0,type,
sK78_SX0: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK79_SX0,type,
sK79_SX0: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK7_SV8,type,
sK7_SV8: ( $i > $i > $o ) > $i ).
thf(tp_sK80_SV50,type,
sK80_SV50: ( $i > $i > $o ) > $i ).
thf(tp_sK81_SX0,type,
sK81_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK82_SY72,type,
sK82_SY72: ( $i > $i > $o ) > $i ).
thf(tp_sK83_SX0,type,
sK83_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK84_SY81,type,
sK84_SY81: ( $i > $i > $o ) > $i ).
thf(tp_sK85_SY82,type,
sK85_SY82: ( $i > $i > $o ) > $i > $i ).
thf(tp_sK86_SY83,type,
sK86_SY83: ( $i > $i > $o ) > $i > $i ).
thf(tp_sK87_SX0,type,
sK87_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK88_SX0,type,
sK88_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK89_SY84,type,
sK89_SY84: ( $i > $i > $o ) > $i ).
thf(tp_sK8_SX0,type,
sK8_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK90_SX0,type,
sK90_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK91_SY86,type,
sK91_SY86: ( $i > $i > $o ) > $i ).
thf(tp_sK92_SY87,type,
sK92_SY87: ( $i > $i > $o ) > $i > $i ).
thf(tp_sK93_SY88,type,
sK93_SY88: ( $i > $i > $o ) > $i > $i ).
thf(tp_sK94_SX0,type,
sK94_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK95_SX0,type,
sK95_SX0: ( $i > $i > $o ) > $i ).
thf(tp_sK96_SY89,type,
sK96_SY89: ( $i > $i > $o ) > $i ).
thf(tp_sK97_SY90,type,
sK97_SY90: ( $i > $i > $o ) > $i ).
thf(tp_sK98_SY91,type,
sK98_SY91: ( $i > $i > $o ) > $i ).
thf(tp_sK99_SY92,type,
sK99_SY92: ( $i > $i > $o ) > $i ).
thf(tp_sK9_SV9,type,
sK9_SV9: ( $i > $i > $o ) > $i ).
thf(1,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_008) ).
thf(2,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_007) ).
thf(3,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_006) ).
thf(4,axiom,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [X: $i,Y: $i] :
~ ( likes_THFTYPE_IiioI @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_005) ).
thf(5,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_004) ).
thf(6,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_003) ).
thf(7,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002) ).
thf(8,axiom,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [X: $i,Y: $i] :
~ ( parent_THFTYPE_IiioI @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).
thf(9,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).
thf(10,conjecture,
? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( R @ Y @ lBill_THFTYPE_i )
& ( Q @ Y @ lAnna_THFTYPE_i )
& ( R
!= ( ^ [Z: $i,W: $i] : $true ) )
& ( Q
!= ( ^ [Z: $i,W: $i] : $true ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(11,negated_conjecture,
( ( ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( R @ Y @ lBill_THFTYPE_i )
& ( Q @ Y @ lAnna_THFTYPE_i )
& ( R
!= ( ^ [Z: $i,W: $i] : $true ) )
& ( Q
!= ( ^ [Z: $i,W: $i] : $true ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[10]) ).
thf(12,plain,
( ( ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( R @ Y @ lBill_THFTYPE_i )
& ( Q @ Y @ lAnna_THFTYPE_i )
& ( R
!= ( ^ [Z: $i,W: $i] : $true ) )
& ( Q
!= ( ^ [Z: $i,W: $i] : $true ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[11]) ).
thf(13,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(14,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(15,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(16,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [X: $i,Y: $i] :
~ ( likes_THFTYPE_IiioI @ X @ Y ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(17,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(18,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(19,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(20,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [X: $i,Y: $i] :
~ ( parent_THFTYPE_IiioI @ X @ Y ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(21,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(22,plain,
( ( ~ ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( R @ Y @ lBill_THFTYPE_i )
& ( Q @ Y @ lAnna_THFTYPE_i )
& ( R
!= ( ^ [Z: $i,W: $i] : $true ) )
& ( Q
!= ( ^ [Z: $i,W: $i] : $true ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[12]) ).
thf(23,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(24,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [X: $i,Y: $i] :
~ ( parent_THFTYPE_IiioI @ X @ Y ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(25,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(26,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(27,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(28,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [X: $i,Y: $i] :
~ ( likes_THFTYPE_IiioI @ X @ Y ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(29,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(30,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(31,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(32,plain,
( ( ~ ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( R @ Y @ lBill_THFTYPE_i )
& ( Q @ Y @ lAnna_THFTYPE_i )
& ( R
!= ( ^ [Z: $i,W: $i] : $true ) )
& ( Q
!= ( ^ [Z: $i,W: $i] : $true ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(33,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(34,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(35,plain,
( ( ~ ~ ! [SX0: $i > $i > $o] :
~ ~ ! [SX1: $i > $i > $o] :
~ ~ ! [SX2: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ~ ( ~ ~ ( ~ ( SX1 @ SX2 @ lBill_THFTYPE_i )
| ~ ( SX0 @ SX2 @ lAnna_THFTYPE_i ) )
| ~ ( ( SX1
!= ( ^ [SX3: $i,SX4: $i] : $true ) ) ) )
| ~ ( ( SX0
!= ( ^ [SX3: $i,SX4: $i] : $true ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(36,plain,
( ( ~ ! [SX0: $i > $i > $o] :
~ ~ ! [SX1: $i > $i > $o] :
~ ~ ! [SX2: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ~ ( ~ ~ ( ~ ( SX1 @ SX2 @ lBill_THFTYPE_i )
| ~ ( SX0 @ SX2 @ lAnna_THFTYPE_i ) )
| ~ ( ( SX1
!= ( ^ [SX3: $i,SX4: $i] : $true ) ) ) )
| ~ ( ( SX0
!= ( ^ [SX3: $i,SX4: $i] : $true ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(37,plain,
( ( ! [SX0: $i > $i > $o] :
~ ~ ! [SX1: $i > $i > $o] :
~ ~ ! [SX2: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ~ ( ~ ~ ( ~ ( SX1 @ SX2 @ lBill_THFTYPE_i )
| ~ ( SX0 @ SX2 @ lAnna_THFTYPE_i ) )
| ~ ( ( SX1
!= ( ^ [SX3: $i,SX4: $i] : $true ) ) ) )
| ~ ( ( SX0
!= ( ^ [SX3: $i,SX4: $i] : $true ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(38,plain,
! [SV1: $i > $i > $o] :
( ( ~ ~ ! [SY11: $i > $i > $o] :
~ ~ ! [SY12: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ~ ( ~ ~ ( ~ ( SY11 @ SY12 @ lBill_THFTYPE_i )
| ~ ( SV1 @ SY12 @ lAnna_THFTYPE_i ) )
| ~ ( ( SY11
!= ( ^ [SX3: $i,SX4: $i] : $true ) ) ) )
| ~ ( ( SV1
!= ( ^ [SX3: $i,SX4: $i] : $true ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(39,plain,
! [SV1: $i > $i > $o] :
( ( ~ ! [SY11: $i > $i > $o] :
~ ~ ! [SY12: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ~ ( ~ ~ ( ~ ( SY11 @ SY12 @ lBill_THFTYPE_i )
| ~ ( SV1 @ SY12 @ lAnna_THFTYPE_i ) )
| ~ ( ( SY11
!= ( ^ [SX3: $i,SX4: $i] : $true ) ) ) )
| ~ ( ( SV1
!= ( ^ [SX3: $i,SX4: $i] : $true ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(40,plain,
! [SV1: $i > $i > $o] :
( ( ! [SY11: $i > $i > $o] :
~ ~ ! [SY12: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ~ ( ~ ~ ( ~ ( SY11 @ SY12 @ lBill_THFTYPE_i )
| ~ ( SV1 @ SY12 @ lAnna_THFTYPE_i ) )
| ~ ( ( SY11
!= ( ^ [SX3: $i,SX4: $i] : $true ) ) ) )
| ~ ( ( SV1
!= ( ^ [SX3: $i,SX4: $i] : $true ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(41,plain,
! [SV1: $i > $i > $o,SV2: $i > $i > $o] :
( ( ~ ~ ! [SY17: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ~ ( ~ ~ ( ~ ( SV2 @ SY17 @ lBill_THFTYPE_i )
| ~ ( SV1 @ SY17 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV2
!= ( ^ [SX3: $i,SX4: $i] : $true ) ) ) )
| ~ ( ( SV1
!= ( ^ [SX3: $i,SX4: $i] : $true ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(42,plain,
! [SV1: $i > $i > $o,SV2: $i > $i > $o] :
( ( ~ ! [SY17: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ~ ( ~ ~ ( ~ ( SV2 @ SY17 @ lBill_THFTYPE_i )
| ~ ( SV1 @ SY17 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV2
!= ( ^ [SX3: $i,SX4: $i] : $true ) ) ) )
| ~ ( ( SV1
!= ( ^ [SX3: $i,SX4: $i] : $true ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(43,plain,
! [SV1: $i > $i > $o,SV2: $i > $i > $o] :
( ( ! [SY17: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ~ ( ~ ~ ( ~ ( SV2 @ SY17 @ lBill_THFTYPE_i )
| ~ ( SV1 @ SY17 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV2
!= ( ^ [SX3: $i,SX4: $i] : $true ) ) ) )
| ~ ( ( SV1
!= ( ^ [SX3: $i,SX4: $i] : $true ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(44,plain,
! [SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ~ ( ~ ~ ( ~ ( SV2 @ SV3 @ lBill_THFTYPE_i )
| ~ ( SV1 @ SV3 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV2
!= ( ^ [SX3: $i,SX4: $i] : $true ) ) ) )
| ~ ( ( SV1
!= ( ^ [SX3: $i,SX4: $i] : $true ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(45,plain,
! [SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ~ ( ~ ~ ( ~ ( SV2 @ SV3 @ lBill_THFTYPE_i )
| ~ ( SV1 @ SV3 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV2
!= ( ^ [SX3: $i,SX4: $i] : $true ) ) ) )
| ~ ( ( SV1
!= ( ^ [SX3: $i,SX4: $i] : $true ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(46,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $false ),
inference(rename,[status(thm)],[45]) ).
thf(47,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) ) )
= $false ),
inference(res,[status(thm)],[46,34]) ).
thf(48,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) ) )
= $false ),
inference(res,[status(thm)],[46,33]) ).
thf(49,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) )
= $false ),
inference(res,[status(thm)],[46,31]) ).
thf(50,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
= $false ),
inference(res,[status(thm)],[46,30]) ).
thf(51,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
= $false ),
inference(res,[status(thm)],[46,29]) ).
thf(52,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) )
= $false ),
inference(res,[status(thm)],[46,27]) ).
thf(53,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
= $false ),
inference(res,[status(thm)],[46,26]) ).
thf(54,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
= $false ),
inference(res,[status(thm)],[46,25]) ).
thf(55,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
= $false ),
inference(res,[status(thm)],[46,23]) ).
thf(56,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[55]) ).
thf(57,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[55]) ).
thf(58,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[54]) ).
thf(59,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[54]) ).
thf(60,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[53]) ).
thf(61,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[53]) ).
thf(62,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[52]) ).
thf(63,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[52]) ).
thf(64,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[51]) ).
thf(65,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[51]) ).
thf(66,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[50]) ).
thf(67,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[50]) ).
thf(68,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[49]) ).
thf(69,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[49]) ).
thf(70,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extuni,[status(esa)],[48]) ).
thf(71,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extuni,[status(esa)],[48]) ).
thf(72,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extuni,[status(esa)],[48]) ).
thf(73,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extuni,[status(esa)],[48]) ).
thf(74,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extuni,[status(esa)],[47]) ).
thf(75,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extuni,[status(esa)],[47]) ).
thf(76,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extuni,[status(esa)],[47]) ).
thf(77,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extuni,[status(esa)],[47]) ).
thf(78,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(79,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(80,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(81,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(82,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(83,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(84,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(85,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(86,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(87,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(88,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(89,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(90,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(91,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(92,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(93,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(94,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(95,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(96,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(97,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(98,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
| ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(99,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(100,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(101,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(102,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(103,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[79]) ).
thf(104,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[79]) ).
thf(105,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(106,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[81]) ).
thf(107,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[81]) ).
thf(108,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(109,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(110,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(111,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(112,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(113,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(114,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(115,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(116,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(117,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(118,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[89]) ).
thf(119,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[89]) ).
thf(120,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(121,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(122,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(123,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(124,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(125,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(126,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(127,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(128,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(129,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(130,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(131,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(132,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(133,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(134,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(135,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(136,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(137,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(138,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(139,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(140,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(141,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(142,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(143,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[110]) ).
thf(144,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(145,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[112]) ).
thf(146,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[113]) ).
thf(147,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(148,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[115]) ).
thf(149,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(150,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(151,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(152,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(153,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(154,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(155,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(156,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(157,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(158,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(159,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(160,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(161,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(162,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(163,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(164,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(165,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(166,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(167,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(168,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[135]) ).
thf(169,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(170,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(171,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(172,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(173,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(174,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[141]) ).
thf(175,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(176,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(177,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(178,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(179,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(180,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(181,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(182,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(183,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(184,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(185,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(186,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(187,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(188,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(189,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(190,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(191,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(192,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(193,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(194,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SV7: $i] :
( ( SV4 @ SV7 )
= ( ^ [SX1: $i] : $true ) ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[160]) ).
thf(195,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[160]) ).
thf(196,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(197,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(198,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
| ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(199,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(200,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(201,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(202,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SV8: $i] :
( ( SV4 @ SV8 )
= ( ^ [SX1: $i] : $true ) ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[166]) ).
thf(203,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[166]) ).
thf(204,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(205,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(206,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(207,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(208,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SV9: $i] :
( ( SV4 @ SV9 )
= ( ^ [SX1: $i] : $true ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[170]) ).
thf(209,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[170]) ).
thf(210,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(211,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[172]) ).
thf(212,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[172]) ).
thf(213,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SV10: $i] :
( ( SV4 @ SV10 )
= ( ^ [SX1: $i] : $true ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[173]) ).
thf(214,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[173]) ).
thf(215,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(216,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[175]) ).
thf(217,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[175]) ).
thf(218,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SV11: $i] :
( ( SV4 @ SV11 )
= ( ^ [SX1: $i] : $true ) ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[176]) ).
thf(219,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[176]) ).
thf(220,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(221,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(222,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(223,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SV12: $i] :
( ( SV4 @ SV12 )
= ( ^ [SX1: $i] : $true ) ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[179]) ).
thf(224,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[179]) ).
thf(225,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(226,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[181]) ).
thf(227,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[181]) ).
thf(228,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SV13: $i] :
( ( SV4 @ SV13 )
= ( ^ [SX1: $i] : $true ) ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[182]) ).
thf(229,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[182]) ).
thf(230,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[183]) ).
thf(231,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[184]) ).
thf(232,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[184]) ).
thf(233,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SV14: $i] :
( ( SV4 @ SV14 )
= ( ^ [SX1: $i] : $true ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[185]) ).
thf(234,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[185]) ).
thf(235,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(236,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(237,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(238,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SV15: $i] :
( ( SV4 @ SV15 )
= ( ^ [SX1: $i] : $true ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[188]) ).
thf(239,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[188]) ).
thf(240,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(241,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[190]) ).
thf(242,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[190]) ).
thf(243,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SV16: $i] :
( ( SV4 @ SV16 )
= ( ^ [SX1: $i] : $true ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[191]) ).
thf(244,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[191]) ).
thf(245,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(246,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(247,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK5_SV7 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[194]) ).
thf(248,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ~ ! [SY41: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK6_SX0 @ SV4 ) @ SY41 ) )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[195]) ).
thf(249,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $false )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(250,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[197]) ).
thf(251,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(252,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(253,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SV17: $i] :
( ( SV4 @ SV17 )
= ( ^ [SX1: $i] : $true ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[199]) ).
thf(254,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[199]) ).
thf(255,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(256,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[201]) ).
thf(257,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK7_SV8 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[202]) ).
thf(258,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ~ ! [SY44: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK8_SX0 @ SV4 ) @ SY44 ) )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[203]) ).
thf(259,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $false )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(260,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $false )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(261,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(262,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(263,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK9_SV9 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[208]) ).
thf(264,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $false )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(265,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[211]) ).
thf(266,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(267,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK10_SV10 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[213]) ).
thf(268,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $false )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(269,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(270,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(271,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK11_SV11 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[218]) ).
thf(272,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $false )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(273,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[221]) ).
thf(274,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(275,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK12_SV12 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[223]) ).
thf(276,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $false )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(277,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[226]) ).
thf(278,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[227]) ).
thf(279,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK13_SV13 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[228]) ).
thf(280,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $false )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(281,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[231]) ).
thf(282,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(283,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK14_SV14 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[233]) ).
thf(284,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $false )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(285,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[236]) ).
thf(286,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[237]) ).
thf(287,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK15_SV15 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[238]) ).
thf(288,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $false )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(289,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[241]) ).
thf(290,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[242]) ).
thf(291,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[243]) ).
thf(292,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(293,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(294,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(295,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SV18: $i] :
( ( SV4 @ ( sK5_SV7 @ SV4 ) @ SV18 )
= $true ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[247]) ).
thf(296,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK5_SV7 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[247]) ).
thf(297,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ! [SY41: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK6_SX0 @ SV4 ) @ SY41 ) )
= $true )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[248]) ).
thf(298,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[249]) ).
thf(299,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $false )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(300,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[251]) ).
thf(301,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[252]) ).
thf(302,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[253]) ).
thf(303,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(304,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(305,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(306,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SV19: $i] :
( ( SV4 @ ( sK7_SV8 @ SV4 ) @ SV19 )
= $true ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[257]) ).
thf(307,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK7_SV8 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[257]) ).
thf(308,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ! [SY44: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK8_SX0 @ SV4 ) @ SY44 ) )
= $true )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(309,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(310,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[260]) ).
thf(311,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(312,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(313,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SV20: $i] :
( ( SV4 @ ( sK9_SV9 @ SV4 ) @ SV20 )
= $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[263]) ).
thf(314,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK9_SV9 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[263]) ).
thf(315,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[264]) ).
thf(316,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(317,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(318,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SV21: $i] :
( ( SV4 @ ( sK10_SV10 @ SV4 ) @ SV21 )
= $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[267]) ).
thf(319,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK10_SV10 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[267]) ).
thf(320,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[268]) ).
thf(321,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(322,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(323,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SV22: $i] :
( ( SV4 @ ( sK11_SV11 @ SV4 ) @ SV22 )
= $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[271]) ).
thf(324,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK11_SV11 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[271]) ).
thf(325,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(326,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(327,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(328,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SV23: $i] :
( ( SV4 @ ( sK12_SV12 @ SV4 ) @ SV23 )
= $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[275]) ).
thf(329,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK12_SV12 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[275]) ).
thf(330,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[276]) ).
thf(331,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(332,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(333,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SV24: $i] :
( ( SV4 @ ( sK13_SV13 @ SV4 ) @ SV24 )
= $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[279]) ).
thf(334,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK13_SV13 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[279]) ).
thf(335,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[280]) ).
thf(336,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(337,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(338,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SV25: $i] :
( ( SV4 @ ( sK14_SV14 @ SV4 ) @ SV25 )
= $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[283]) ).
thf(339,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK14_SV14 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[283]) ).
thf(340,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[284]) ).
thf(341,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(342,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(343,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SV26: $i] :
( ( SV4 @ ( sK15_SV15 @ SV4 ) @ SV26 )
= $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[287]) ).
thf(344,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK15_SV15 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[287]) ).
thf(345,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(346,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(347,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(348,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SV27: $i] :
( ( SV4 @ ( sK16_SV16 @ SV4 ) @ SV27 )
= $true ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[291]) ).
thf(349,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[291]) ).
thf(350,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ~ ! [SY54: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK18_SX0 @ SV4 ) @ SY54 ) )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[292]) ).
thf(351,plain,
! [SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(352,plain,
! [SV5: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(353,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SV28: $i] :
( ( SV6 @ SV28 )
= ( ^ [SX1: $i] : $true ) ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[294]) ).
thf(354,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[294]) ).
thf(355,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
= $true )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[295]) ).
thf(356,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ~ ! [SY56: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK20_SX0 @ SV4 ) @ SY56 ) )
= $false )
| ( ( ( SV4 @ ( sK5_SV7 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[296]) ).
thf(357,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SY41: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK6_SX0 @ SV4 ) @ SY41 ) )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(358,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
= $true )
| ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[298]) ).
thf(359,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(360,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
| ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(361,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(362,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SV29: $i] :
( ( SV4 @ ( sK17_SV17 @ SV4 ) @ SV29 )
= $true ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[302]) ).
thf(363,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[302]) ).
thf(364,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ~ ! [SY57: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK21_SX0 @ SV4 ) @ SY57 ) )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[303]) ).
thf(365,plain,
! [SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[304]) ).
thf(366,plain,
! [SV5: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[304]) ).
thf(367,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SV30: $i] :
( ( SV6 @ SV30 )
= ( ^ [SX1: $i] : $true ) ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[305]) ).
thf(368,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[305]) ).
thf(369,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
= $true )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[306]) ).
thf(370,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ~ ! [SY59: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK23_SX0 @ SV4 ) @ SY59 ) )
= $false )
| ( ( ( SV4 @ ( sK7_SV8 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[307]) ).
thf(371,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SY44: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK8_SX0 @ SV4 ) @ SY44 ) )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(372,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
= $true )
| ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[309]) ).
thf(373,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
= $true )
| ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(374,plain,
! [SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[311]) ).
thf(375,plain,
! [SV5: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[311]) ).
thf(376,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SV31: $i] :
( ( SV6 @ SV31 )
= ( ^ [SX1: $i] : $true ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[312]) ).
thf(377,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[312]) ).
thf(378,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK9_SV9 @ SV4 ) @ ( sK24_SV20 @ SV4 ) )
= $true )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[313]) ).
thf(379,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
= $true )
| ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[315]) ).
thf(380,plain,
! [SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(381,plain,
! [SV5: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(382,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SV32: $i] :
( ( SV6 @ SV32 )
= ( ^ [SX1: $i] : $true ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[317]) ).
thf(383,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[317]) ).
thf(384,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK10_SV10 @ SV4 ) @ ( sK25_SV21 @ SV4 ) )
= $true )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[318]) ).
thf(385,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
= $true )
| ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[320]) ).
thf(386,plain,
! [SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[321]) ).
thf(387,plain,
! [SV5: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[321]) ).
thf(388,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SV33: $i] :
( ( SV6 @ SV33 )
= ( ^ [SX1: $i] : $true ) ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[322]) ).
thf(389,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[322]) ).
thf(390,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK11_SV11 @ SV4 ) @ ( sK26_SV22 @ SV4 ) )
= $true )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[323]) ).
thf(391,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
= $true )
| ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(392,plain,
! [SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[326]) ).
thf(393,plain,
! [SV5: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[326]) ).
thf(394,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SV34: $i] :
( ( SV6 @ SV34 )
= ( ^ [SX1: $i] : $true ) ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[327]) ).
thf(395,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[327]) ).
thf(396,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK12_SV12 @ SV4 ) @ ( sK27_SV23 @ SV4 ) )
= $true )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[328]) ).
thf(397,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
= $true )
| ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[330]) ).
thf(398,plain,
! [SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[331]) ).
thf(399,plain,
! [SV5: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[331]) ).
thf(400,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SV35: $i] :
( ( SV6 @ SV35 )
= ( ^ [SX1: $i] : $true ) ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[332]) ).
thf(401,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[332]) ).
thf(402,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK13_SV13 @ SV4 ) @ ( sK28_SV24 @ SV4 ) )
= $true )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[333]) ).
thf(403,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
= $true )
| ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[335]) ).
thf(404,plain,
! [SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[336]) ).
thf(405,plain,
! [SV5: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[336]) ).
thf(406,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SV36: $i] :
( ( SV6 @ SV36 )
= ( ^ [SX1: $i] : $true ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[337]) ).
thf(407,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[337]) ).
thf(408,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK14_SV14 @ SV4 ) @ ( sK29_SV25 @ SV4 ) )
= $true )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[338]) ).
thf(409,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
= $true )
| ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[340]) ).
thf(410,plain,
! [SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[341]) ).
thf(411,plain,
! [SV5: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[341]) ).
thf(412,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SV37: $i] :
( ( SV6 @ SV37 )
= ( ^ [SX1: $i] : $true ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[342]) ).
thf(413,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[342]) ).
thf(414,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK15_SV15 @ SV4 ) @ ( sK30_SV26 @ SV4 ) )
= $true )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[343]) ).
thf(415,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
= $true )
| ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[345]) ).
thf(416,plain,
! [SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[346]) ).
thf(417,plain,
! [SV5: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[346]) ).
thf(418,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SV38: $i] :
( ( SV6 @ SV38 )
= ( ^ [SX1: $i] : $true ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[347]) ).
thf(419,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[347]) ).
thf(420,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
= $true )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[348]) ).
thf(421,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false )
| ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(422,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ! [SY54: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK18_SX0 @ SV4 ) @ SY54 ) )
= $true )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[350]) ).
thf(423,plain,
! [SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[351]) ).
thf(424,plain,
! [SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[352]) ).
thf(425,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK32_SV28 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[353]) ).
thf(426,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ! [SY69: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK33_SX0 @ SV6 ) @ SY69 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[354]) ).
thf(427,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
| $true )
| ~ ( ~ ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
| ~ $true ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[355]) ).
thf(428,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
= $true )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[355]) ).
thf(429,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ! [SY56: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK20_SX0 @ SV4 ) @ SY56 ) )
= $true )
| ( ( ( SV4 @ ( sK5_SV7 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[356]) ).
thf(430,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK6_SX0 @ SV4 ) @ ( sK34_SY41 @ SV4 ) ) )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[357]) ).
thf(431,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(432,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
= $true )
| ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[359]) ).
thf(433,plain,
! [SV5: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[360]) ).
thf(434,plain,
! [SV5: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[360]) ).
thf(435,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SV39: $i] :
( ( SV6 @ SV39 )
= ( ^ [SX1: $i] : $true ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[361]) ).
thf(436,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[361]) ).
thf(437,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
= $true )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[362]) ).
thf(438,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false )
| ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(439,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ! [SY57: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK21_SX0 @ SV4 ) @ SY57 ) )
= $true )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[364]) ).
thf(440,plain,
! [SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[365]) ).
thf(441,plain,
! [SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[366]) ).
thf(442,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK36_SV30 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[367]) ).
thf(443,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ! [SY72: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK37_SX0 @ SV6 ) @ SY72 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[368]) ).
thf(444,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
| $true )
| ~ ( ~ ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
| ~ $true ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[369]) ).
thf(445,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
= $true )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[369]) ).
thf(446,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ! [SY59: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK23_SX0 @ SV4 ) @ SY59 ) )
= $true )
| ( ( ( SV4 @ ( sK7_SV8 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[370]) ).
thf(447,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK8_SX0 @ SV4 ) @ ( sK38_SY44 @ SV4 ) ) )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[371]) ).
thf(448,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(449,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(450,plain,
! [SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[374]) ).
thf(451,plain,
! [SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[375]) ).
thf(452,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK39_SV31 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[376]) ).
thf(453,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ ( sK9_SV9 @ SV4 ) @ ( sK24_SV20 @ SV4 ) )
| $true )
| ~ ( ~ ( SV4 @ ( sK9_SV9 @ SV4 ) @ ( sK24_SV20 @ SV4 ) )
| ~ $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[378]) ).
thf(454,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK9_SV9 @ SV4 ) @ ( sK24_SV20 @ SV4 ) )
= $true )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[378]) ).
thf(455,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(456,plain,
! [SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[380]) ).
thf(457,plain,
! [SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[381]) ).
thf(458,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK40_SV32 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[382]) ).
thf(459,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ ( sK10_SV10 @ SV4 ) @ ( sK25_SV21 @ SV4 ) )
| $true )
| ~ ( ~ ( SV4 @ ( sK10_SV10 @ SV4 ) @ ( sK25_SV21 @ SV4 ) )
| ~ $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[384]) ).
thf(460,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK10_SV10 @ SV4 ) @ ( sK25_SV21 @ SV4 ) )
= $true )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[384]) ).
thf(461,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(462,plain,
! [SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[386]) ).
thf(463,plain,
! [SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[387]) ).
thf(464,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK41_SV33 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[388]) ).
thf(465,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ ( sK11_SV11 @ SV4 ) @ ( sK26_SV22 @ SV4 ) )
| $true )
| ~ ( ~ ( SV4 @ ( sK11_SV11 @ SV4 ) @ ( sK26_SV22 @ SV4 ) )
| ~ $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[390]) ).
thf(466,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK11_SV11 @ SV4 ) @ ( sK26_SV22 @ SV4 ) )
= $true )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[390]) ).
thf(467,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(468,plain,
! [SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[392]) ).
thf(469,plain,
! [SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[393]) ).
thf(470,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK42_SV34 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[394]) ).
thf(471,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ ( sK12_SV12 @ SV4 ) @ ( sK27_SV23 @ SV4 ) )
| $true )
| ~ ( ~ ( SV4 @ ( sK12_SV12 @ SV4 ) @ ( sK27_SV23 @ SV4 ) )
| ~ $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[396]) ).
thf(472,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK12_SV12 @ SV4 ) @ ( sK27_SV23 @ SV4 ) )
= $true )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[396]) ).
thf(473,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(474,plain,
! [SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[398]) ).
thf(475,plain,
! [SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[399]) ).
thf(476,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK43_SV35 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[400]) ).
thf(477,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ ( sK13_SV13 @ SV4 ) @ ( sK28_SV24 @ SV4 ) )
| $true )
| ~ ( ~ ( SV4 @ ( sK13_SV13 @ SV4 ) @ ( sK28_SV24 @ SV4 ) )
| ~ $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[402]) ).
thf(478,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK13_SV13 @ SV4 ) @ ( sK28_SV24 @ SV4 ) )
= $true )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[402]) ).
thf(479,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[403]) ).
thf(480,plain,
! [SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[404]) ).
thf(481,plain,
! [SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[405]) ).
thf(482,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK44_SV36 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[406]) ).
thf(483,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ ( sK14_SV14 @ SV4 ) @ ( sK29_SV25 @ SV4 ) )
| $true )
| ~ ( ~ ( SV4 @ ( sK14_SV14 @ SV4 ) @ ( sK29_SV25 @ SV4 ) )
| ~ $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[408]) ).
thf(484,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK14_SV14 @ SV4 ) @ ( sK29_SV25 @ SV4 ) )
= $true )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[408]) ).
thf(485,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(486,plain,
! [SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[410]) ).
thf(487,plain,
! [SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[411]) ).
thf(488,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK45_SV37 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[412]) ).
thf(489,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ ( sK15_SV15 @ SV4 ) @ ( sK30_SV26 @ SV4 ) )
| $true )
| ~ ( ~ ( SV4 @ ( sK15_SV15 @ SV4 ) @ ( sK30_SV26 @ SV4 ) )
| ~ $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[414]) ).
thf(490,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK15_SV15 @ SV4 ) @ ( sK30_SV26 @ SV4 ) )
= $true )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[414]) ).
thf(491,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(492,plain,
! [SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[416]) ).
thf(493,plain,
! [SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[417]) ).
thf(494,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[418]) ).
thf(495,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(496,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
| $true )
| ~ ( ~ ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
| ~ $true ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[420]) ).
thf(497,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
= $true )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[420]) ).
thf(498,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ~ ! [SY81: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK47_SX0 @ SV4 ) @ SY81 ) )
= $false )
| ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[421]) ).
thf(499,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SY54: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK18_SX0 @ SV4 ) @ SY54 ) )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(500,plain,
! [SV6: $i > $i > $o,SV5: $i] :
( ( ( ~ ~ ! [SY82: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK48_SX0 @ SV5 @ SV6 ) @ SY82 ) )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[423]) ).
thf(501,plain,
! [SV4: $i > $i > $o,SV5: $i] :
( ( ( ~ ~ ! [SY83: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK49_SX0 @ SV5 @ SV4 ) @ SY83 ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[424]) ).
thf(502,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SV40: $i] :
( ( SV6 @ ( sK32_SV28 @ SV6 ) @ SV40 )
= $true ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[425]) ).
thf(503,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK32_SV28 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[425]) ).
thf(504,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ! [SY69: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK33_SX0 @ SV6 ) @ SY69 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[426]) ).
thf(506,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( ~ ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
| ~ $true ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[427]) ).
thf(507,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ~ ! [SY84: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK50_SX0 @ SV4 ) @ SY84 ) )
= $false )
| ( ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
= $true )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[428]) ).
thf(508,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SY56: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK20_SX0 @ SV4 ) @ SY56 ) )
= $false )
| ( ( ( SV4 @ ( sK5_SV7 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(509,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK6_SX0 @ SV4 ) @ ( sK34_SY41 @ SV4 ) ) )
= $true )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[430]) ).
thf(510,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(511,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[432]) ).
thf(512,plain,
! [SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[433]) ).
thf(513,plain,
! [SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[434]) ).
thf(514,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[435]) ).
thf(515,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(516,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
| $true )
| ~ ( ~ ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
| ~ $true ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[437]) ).
thf(517,plain,
! [SV4: $i > $i > $o] :
( ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
= $true )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[437]) ).
thf(518,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ~ ! [SY86: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK52_SX0 @ SV4 ) @ SY86 ) )
= $false )
| ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[438]) ).
thf(519,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SY57: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK21_SX0 @ SV4 ) @ SY57 ) )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(520,plain,
! [SV6: $i > $i > $o,SV5: $i] :
( ( ( ~ ~ ! [SY87: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK53_SX0 @ SV5 @ SV6 ) @ SY87 ) )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[440]) ).
thf(521,plain,
! [SV4: $i > $i > $o,SV5: $i] :
( ( ( ~ ~ ! [SY88: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK54_SX0 @ SV5 @ SV4 ) @ SY88 ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[441]) ).
thf(522,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SV41: $i] :
( ( SV6 @ ( sK36_SV30 @ SV6 ) @ SV41 )
= $true ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[442]) ).
thf(523,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK36_SV30 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[442]) ).
thf(524,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ! [SY72: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK37_SX0 @ SV6 ) @ SY72 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[443]) ).
thf(526,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( ~ ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
| ~ $true ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[444]) ).
thf(527,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ~ ! [SY89: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK55_SX0 @ SV4 ) @ SY89 ) )
= $false )
| ( ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
= $true )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[445]) ).
thf(528,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SY59: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK23_SX0 @ SV4 ) @ SY59 ) )
= $false )
| ( ( ( SV4 @ ( sK7_SV8 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(529,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK8_SX0 @ SV4 ) @ ( sK38_SY44 @ SV4 ) ) )
= $true )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[447]) ).
thf(530,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(531,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(532,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SV42: $i] :
( ( SV6 @ ( sK39_SV31 @ SV6 ) @ SV42 )
= $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[452]) ).
thf(533,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK39_SV31 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[452]) ).
thf(535,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( ~ ( SV4 @ ( sK9_SV9 @ SV4 ) @ ( sK24_SV20 @ SV4 ) )
| ~ $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[453]) ).
thf(536,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(537,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SV43: $i] :
( ( SV6 @ ( sK40_SV32 @ SV6 ) @ SV43 )
= $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[458]) ).
thf(538,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK40_SV32 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[458]) ).
thf(540,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( ~ ( SV4 @ ( sK10_SV10 @ SV4 ) @ ( sK25_SV21 @ SV4 ) )
| ~ $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[459]) ).
thf(541,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(542,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SV44: $i] :
( ( SV6 @ ( sK41_SV33 @ SV6 ) @ SV44 )
= $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[464]) ).
thf(543,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK41_SV33 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[464]) ).
thf(545,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( ~ ( SV4 @ ( sK11_SV11 @ SV4 ) @ ( sK26_SV22 @ SV4 ) )
| ~ $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[465]) ).
thf(546,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(547,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SV45: $i] :
( ( SV6 @ ( sK42_SV34 @ SV6 ) @ SV45 )
= $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[470]) ).
thf(548,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK42_SV34 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[470]) ).
thf(550,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( ~ ( SV4 @ ( sK12_SV12 @ SV4 ) @ ( sK27_SV23 @ SV4 ) )
| ~ $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[471]) ).
thf(551,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(552,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SV46: $i] :
( ( SV6 @ ( sK43_SV35 @ SV6 ) @ SV46 )
= $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[476]) ).
thf(553,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK43_SV35 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[476]) ).
thf(555,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( ~ ( SV4 @ ( sK13_SV13 @ SV4 ) @ ( sK28_SV24 @ SV4 ) )
| ~ $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[477]) ).
thf(556,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(557,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SV47: $i] :
( ( SV6 @ ( sK44_SV36 @ SV6 ) @ SV47 )
= $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[482]) ).
thf(558,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK44_SV36 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[482]) ).
thf(560,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( ~ ( SV4 @ ( sK14_SV14 @ SV4 ) @ ( sK29_SV25 @ SV4 ) )
| ~ $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[483]) ).
thf(561,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(562,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SV48: $i] :
( ( SV6 @ ( sK45_SV37 @ SV6 ) @ SV48 )
= $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[488]) ).
thf(563,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK45_SV37 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[488]) ).
thf(565,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( ~ ( SV4 @ ( sK15_SV15 @ SV4 ) @ ( sK30_SV26 @ SV4 ) )
| ~ $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[489]) ).
thf(566,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(567,plain,
! [SV5: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[492]) ).
thf(568,plain,
! [SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(569,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SV49: $i] :
( ( SV6 @ ( sK46_SV38 @ SV6 ) @ SV49 )
= $true ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[494]) ).
thf(570,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[494]) ).
thf(571,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ! [SY90: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK56_SX0 @ SV6 ) @ SY90 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[495]) ).
thf(573,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( ~ ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
| ~ $true ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[496]) ).
thf(574,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false )
| ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
= $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[497]) ).
thf(575,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ! [SY81: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK47_SX0 @ SV4 ) @ SY81 ) )
= $true )
| ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[498]) ).
thf(576,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK18_SX0 @ SV4 ) @ ( sK57_SY54 @ SV4 ) ) )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[499]) ).
thf(577,plain,
! [SV6: $i > $i > $o,SV5: $i] :
( ( ( ~ ! [SY82: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK48_SX0 @ SV5 @ SV6 ) @ SY82 ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[500]) ).
thf(578,plain,
! [SV4: $i > $i > $o,SV5: $i] :
( ( ( ~ ! [SY83: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK49_SX0 @ SV5 @ SV4 ) @ SY83 ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[501]) ).
thf(579,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
= $true )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[502]) ).
thf(580,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ! [SY91: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK59_SX0 @ SV6 ) @ SY91 ) )
= $false )
| ( ( ( SV6 @ ( sK32_SV28 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[503]) ).
thf(581,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SY69: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK33_SX0 @ SV6 ) @ SY69 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[504]) ).
thf(583,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
| ~ $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[506]) ).
thf(584,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ! [SY84: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK50_SX0 @ SV4 ) @ SY84 ) )
= $true )
| ( ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
= $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[507]) ).
thf(585,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK20_SX0 @ SV4 ) @ ( sK60_SY56 @ SV4 ) ) )
= $false )
| ( ( ( SV4 @ ( sK5_SV7 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[508]) ).
thf(586,plain,
! [SV4: $i > $i > $o] :
( ( ( parent_THFTYPE_IiioI @ ( sK6_SX0 @ SV4 ) @ ( sK34_SY41 @ SV4 ) )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(587,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[510]) ).
thf(588,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[511]) ).
thf(589,plain,
! [SV5: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[512]) ).
thf(590,plain,
! [SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(591,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SV50: $i] :
( ( SV6 @ ( sK51_SV39 @ SV6 ) @ SV50 )
= $true ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[514]) ).
thf(592,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[514]) ).
thf(593,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ! [SY92: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK61_SX0 @ SV6 ) @ SY92 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[515]) ).
thf(595,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( ~ ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
| ~ $true ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[516]) ).
thf(596,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false )
| ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
= $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(597,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ! [SY86: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK52_SX0 @ SV4 ) @ SY86 ) )
= $true )
| ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[518]) ).
thf(598,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK21_SX0 @ SV4 ) @ ( sK62_SY57 @ SV4 ) ) )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[519]) ).
thf(599,plain,
! [SV6: $i > $i > $o,SV5: $i] :
( ( ( ~ ! [SY87: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK53_SX0 @ SV5 @ SV6 ) @ SY87 ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[520]) ).
thf(600,plain,
! [SV4: $i > $i > $o,SV5: $i] :
( ( ( ~ ! [SY88: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK54_SX0 @ SV5 @ SV4 ) @ SY88 ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[521]) ).
thf(601,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
= $true )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[522]) ).
thf(602,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ! [SY93: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK64_SX0 @ SV6 ) @ SY93 ) )
= $false )
| ( ( ( SV6 @ ( sK36_SV30 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[523]) ).
thf(603,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SY72: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK37_SX0 @ SV6 ) @ SY72 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(605,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
| ~ $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[526]) ).
thf(606,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ! [SY89: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK55_SX0 @ SV4 ) @ SY89 ) )
= $true )
| ( ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
= $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[527]) ).
thf(607,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK23_SX0 @ SV4 ) @ ( sK65_SY59 @ SV4 ) ) )
= $false )
| ( ( ( SV4 @ ( sK7_SV8 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[528]) ).
thf(608,plain,
! [SV4: $i > $i > $o] :
( ( ( likes_THFTYPE_IiioI @ ( sK8_SX0 @ SV4 ) @ ( sK38_SY44 @ SV4 ) )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[529]) ).
thf(609,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[530]) ).
thf(610,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[531]) ).
thf(611,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK39_SV31 @ SV6 ) @ ( sK66_SV42 @ SV6 ) )
= $true )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[532]) ).
thf(613,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ ( sK9_SV9 @ SV4 ) @ ( sK24_SV20 @ SV4 ) )
| ~ $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[535]) ).
thf(614,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[536]) ).
thf(615,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK40_SV32 @ SV6 ) @ ( sK67_SV43 @ SV6 ) )
= $true )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[537]) ).
thf(617,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ ( sK10_SV10 @ SV4 ) @ ( sK25_SV21 @ SV4 ) )
| ~ $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[540]) ).
thf(618,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[541]) ).
thf(619,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK41_SV33 @ SV6 ) @ ( sK68_SV44 @ SV6 ) )
= $true )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[542]) ).
thf(621,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ ( sK11_SV11 @ SV4 ) @ ( sK26_SV22 @ SV4 ) )
| ~ $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[545]) ).
thf(622,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[546]) ).
thf(623,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK42_SV34 @ SV6 ) @ ( sK69_SV45 @ SV6 ) )
= $true )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[547]) ).
thf(625,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ ( sK12_SV12 @ SV4 ) @ ( sK27_SV23 @ SV4 ) )
| ~ $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[550]) ).
thf(626,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[551]) ).
thf(627,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK43_SV35 @ SV6 ) @ ( sK70_SV46 @ SV6 ) )
= $true )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[552]) ).
thf(629,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ ( sK13_SV13 @ SV4 ) @ ( sK28_SV24 @ SV4 ) )
| ~ $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[555]) ).
thf(630,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[556]) ).
thf(631,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK44_SV36 @ SV6 ) @ ( sK71_SV47 @ SV6 ) )
= $true )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[557]) ).
thf(633,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ ( sK14_SV14 @ SV4 ) @ ( sK29_SV25 @ SV4 ) )
| ~ $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[560]) ).
thf(634,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[561]) ).
thf(635,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK45_SV37 @ SV6 ) @ ( sK72_SV48 @ SV6 ) )
= $true )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[562]) ).
thf(637,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ ( sK15_SV15 @ SV4 ) @ ( sK30_SV26 @ SV4 ) )
| ~ $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[565]) ).
thf(638,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[566]) ).
thf(639,plain,
! [SV6: $i > $i > $o,SV5: $i] :
( ( ( ~ ~ ! [SY94: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK73_SX0 @ SV5 @ SV6 ) @ SY94 ) )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[567]) ).
thf(640,plain,
! [SV4: $i > $i > $o,SV5: $i] :
( ( ( ~ ~ ! [SY95: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK74_SX0 @ SV5 @ SV4 ) @ SY95 ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[568]) ).
thf(641,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
= $true )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[569]) ).
thf(642,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false )
| ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[570]) ).
thf(643,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ! [SY90: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK56_SX0 @ SV6 ) @ SY90 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[571]) ).
thf(645,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
| ~ $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[573]) ).
thf(646,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ~ ! [SY96: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK76_SX0 @ SV4 ) @ SY96 ) )
= $false )
| ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
= $true )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[574]) ).
thf(647,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SY81: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK47_SX0 @ SV4 ) @ SY81 ) )
= $false )
| ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[575]) ).
thf(648,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK18_SX0 @ SV4 ) @ ( sK57_SY54 @ SV4 ) ) )
= $true )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[576]) ).
thf(649,plain,
! [SV6: $i > $i > $o,SV5: $i] :
( ( ( ! [SY82: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK48_SX0 @ SV5 @ SV6 ) @ SY82 ) )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(650,plain,
! [SV4: $i > $i > $o,SV5: $i] :
( ( ( ! [SY83: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK49_SX0 @ SV5 @ SV4 ) @ SY83 ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[578]) ).
thf(651,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
| $true )
| ~ ( ~ ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
| ~ $true ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[579]) ).
thf(652,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
= $true )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[579]) ).
thf(653,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ! [SY91: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK59_SX0 @ SV6 ) @ SY91 ) )
= $true )
| ( ( ( SV6 @ ( sK32_SV28 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[580]) ).
thf(654,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK33_SX0 @ SV6 ) @ ( sK77_SY69 @ SV6 ) ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[581]) ).
thf(656,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) ) )
= $true )
| ( ( ~ $true ) = $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[583]) ).
thf(657,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SY84: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK50_SX0 @ SV4 ) @ SY84 ) )
= $false )
| ( ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
= $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[584]) ).
thf(658,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK20_SX0 @ SV4 ) @ ( sK60_SY56 @ SV4 ) ) )
= $true )
| ( ( ( SV4 @ ( sK5_SV7 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[585]) ).
thf(659,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[587]) ).
thf(660,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(661,plain,
! [SV6: $i > $i > $o,SV5: $i] :
( ( ( ~ ~ ! [SY97: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK78_SX0 @ SV5 @ SV6 ) @ SY97 ) )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[589]) ).
thf(662,plain,
! [SV4: $i > $i > $o,SV5: $i] :
( ( ( ~ ~ ! [SY98: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK79_SX0 @ SV5 @ SV4 ) @ SY98 ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[590]) ).
thf(663,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
= $true )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[591]) ).
thf(664,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false )
| ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(665,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ! [SY92: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK61_SX0 @ SV6 ) @ SY92 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[593]) ).
thf(667,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
| ~ $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[595]) ).
thf(668,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ~ ! [SY99: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK81_SX0 @ SV4 ) @ SY99 ) )
= $false )
| ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
= $true )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[596]) ).
thf(669,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SY86: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK52_SX0 @ SV4 ) @ SY86 ) )
= $false )
| ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[597]) ).
thf(670,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK21_SX0 @ SV4 ) @ ( sK62_SY57 @ SV4 ) ) )
= $true )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[598]) ).
thf(671,plain,
! [SV6: $i > $i > $o,SV5: $i] :
( ( ( ! [SY87: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK53_SX0 @ SV5 @ SV6 ) @ SY87 ) )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(672,plain,
! [SV4: $i > $i > $o,SV5: $i] :
( ( ( ! [SY88: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK54_SX0 @ SV5 @ SV4 ) @ SY88 ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[600]) ).
thf(673,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
| $true )
| ~ ( ~ ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
| ~ $true ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[601]) ).
thf(674,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
= $true )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[601]) ).
thf(675,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ! [SY93: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK64_SX0 @ SV6 ) @ SY93 ) )
= $true )
| ( ( ( SV6 @ ( sK36_SV30 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[602]) ).
thf(676,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK37_SX0 @ SV6 ) @ ( sK82_SY72 @ SV6 ) ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[603]) ).
thf(678,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) ) )
= $true )
| ( ( ~ $true ) = $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[605]) ).
thf(679,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SY89: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK55_SX0 @ SV4 ) @ SY89 ) )
= $false )
| ( ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
= $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(680,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK23_SX0 @ SV4 ) @ ( sK65_SY59 @ SV4 ) ) )
= $true )
| ( ( ( SV4 @ ( sK7_SV8 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[607]) ).
thf(681,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[609]) ).
thf(682,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[610]) ).
thf(683,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6 @ ( sK39_SV31 @ SV6 ) @ ( sK66_SV42 @ SV6 ) )
| $true )
| ~ ( ~ ( SV6 @ ( sK39_SV31 @ SV6 ) @ ( sK66_SV42 @ SV6 ) )
| ~ $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[611]) ).
thf(684,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK39_SV31 @ SV6 ) @ ( sK66_SV42 @ SV6 ) )
= $true )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[611]) ).
thf(686,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ ( sK9_SV9 @ SV4 ) @ ( sK24_SV20 @ SV4 ) ) )
= $true )
| ( ( ~ $true ) = $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[613]) ).
thf(687,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[614]) ).
thf(688,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6 @ ( sK40_SV32 @ SV6 ) @ ( sK67_SV43 @ SV6 ) )
| $true )
| ~ ( ~ ( SV6 @ ( sK40_SV32 @ SV6 ) @ ( sK67_SV43 @ SV6 ) )
| ~ $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[615]) ).
thf(689,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK40_SV32 @ SV6 ) @ ( sK67_SV43 @ SV6 ) )
= $true )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[615]) ).
thf(691,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ ( sK10_SV10 @ SV4 ) @ ( sK25_SV21 @ SV4 ) ) )
= $true )
| ( ( ~ $true ) = $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[617]) ).
thf(692,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[618]) ).
thf(693,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6 @ ( sK41_SV33 @ SV6 ) @ ( sK68_SV44 @ SV6 ) )
| $true )
| ~ ( ~ ( SV6 @ ( sK41_SV33 @ SV6 ) @ ( sK68_SV44 @ SV6 ) )
| ~ $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[619]) ).
thf(694,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK41_SV33 @ SV6 ) @ ( sK68_SV44 @ SV6 ) )
= $true )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[619]) ).
thf(696,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ ( sK11_SV11 @ SV4 ) @ ( sK26_SV22 @ SV4 ) ) )
= $true )
| ( ( ~ $true ) = $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[621]) ).
thf(697,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[622]) ).
thf(698,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6 @ ( sK42_SV34 @ SV6 ) @ ( sK69_SV45 @ SV6 ) )
| $true )
| ~ ( ~ ( SV6 @ ( sK42_SV34 @ SV6 ) @ ( sK69_SV45 @ SV6 ) )
| ~ $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[623]) ).
thf(699,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK42_SV34 @ SV6 ) @ ( sK69_SV45 @ SV6 ) )
= $true )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[623]) ).
thf(701,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ ( sK12_SV12 @ SV4 ) @ ( sK27_SV23 @ SV4 ) ) )
= $true )
| ( ( ~ $true ) = $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[625]) ).
thf(702,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[626]) ).
thf(703,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6 @ ( sK43_SV35 @ SV6 ) @ ( sK70_SV46 @ SV6 ) )
| $true )
| ~ ( ~ ( SV6 @ ( sK43_SV35 @ SV6 ) @ ( sK70_SV46 @ SV6 ) )
| ~ $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[627]) ).
thf(704,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK43_SV35 @ SV6 ) @ ( sK70_SV46 @ SV6 ) )
= $true )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[627]) ).
thf(706,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ ( sK13_SV13 @ SV4 ) @ ( sK28_SV24 @ SV4 ) ) )
= $true )
| ( ( ~ $true ) = $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[629]) ).
thf(707,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[630]) ).
thf(708,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6 @ ( sK44_SV36 @ SV6 ) @ ( sK71_SV47 @ SV6 ) )
| $true )
| ~ ( ~ ( SV6 @ ( sK44_SV36 @ SV6 ) @ ( sK71_SV47 @ SV6 ) )
| ~ $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[631]) ).
thf(709,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK44_SV36 @ SV6 ) @ ( sK71_SV47 @ SV6 ) )
= $true )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[631]) ).
thf(711,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ ( sK14_SV14 @ SV4 ) @ ( sK29_SV25 @ SV4 ) ) )
= $true )
| ( ( ~ $true ) = $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[633]) ).
thf(712,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[634]) ).
thf(713,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6 @ ( sK45_SV37 @ SV6 ) @ ( sK72_SV48 @ SV6 ) )
| $true )
| ~ ( ~ ( SV6 @ ( sK45_SV37 @ SV6 ) @ ( sK72_SV48 @ SV6 ) )
| ~ $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[635]) ).
thf(714,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK45_SV37 @ SV6 ) @ ( sK72_SV48 @ SV6 ) )
= $true )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[635]) ).
thf(716,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ ( sK15_SV15 @ SV4 ) @ ( sK30_SV26 @ SV4 ) ) )
= $true )
| ( ( ~ $true ) = $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[637]) ).
thf(717,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[638]) ).
thf(718,plain,
! [SV6: $i > $i > $o,SV5: $i] :
( ( ( ~ ! [SY94: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK73_SX0 @ SV5 @ SV6 ) @ SY94 ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[639]) ).
thf(719,plain,
! [SV4: $i > $i > $o,SV5: $i] :
( ( ( ~ ! [SY95: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK74_SX0 @ SV5 @ SV4 ) @ SY95 ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[640]) ).
thf(720,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
| $true )
| ~ ( ~ ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
| ~ $true ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[641]) ).
thf(721,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
= $true )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[641]) ).
thf(722,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ! [SY100: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK83_SX0 @ SV6 ) @ SY100 ) )
= $false )
| ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[642]) ).
thf(723,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SY90: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK56_SX0 @ SV6 ) @ SY90 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[643]) ).
thf(725,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) ) )
= $true )
| ( ( ~ $true ) = $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[645]) ).
thf(726,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ! [SY96: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK76_SX0 @ SV4 ) @ SY96 ) )
= $true )
| ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
= $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[646]) ).
thf(727,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK47_SX0 @ SV4 ) @ ( sK84_SY81 @ SV4 ) ) )
= $false )
| ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[647]) ).
thf(728,plain,
! [SV4: $i > $i > $o] :
( ( ( parent_THFTYPE_IiioI @ ( sK18_SX0 @ SV4 ) @ ( sK57_SY54 @ SV4 ) )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[648]) ).
thf(729,plain,
! [SV6: $i > $i > $o,SV5: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK48_SX0 @ SV5 @ SV6 ) @ ( sK85_SY82 @ SV6 @ SV5 ) ) )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[649]) ).
thf(730,plain,
! [SV4: $i > $i > $o,SV5: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK49_SX0 @ SV5 @ SV4 ) @ ( sK86_SY83 @ SV4 @ SV5 ) ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[650]) ).
thf(732,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
| ~ $true ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[651]) ).
thf(733,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ! [SY101: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK87_SX0 @ SV6 ) @ SY101 ) )
= $false )
| ( ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
= $true )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[652]) ).
thf(734,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SY91: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK59_SX0 @ SV6 ) @ SY91 ) )
= $false )
| ( ( ( SV6 @ ( sK32_SV28 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[653]) ).
thf(735,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK33_SX0 @ SV6 ) @ ( sK77_SY69 @ SV6 ) ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[654]) ).
thf(737,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
= $false )
| ( ( ~ $true ) = $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[656]) ).
thf(738,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK50_SX0 @ SV4 ) @ ( sK89_SY84 @ SV4 ) ) )
= $false )
| ( ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
= $true )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[657]) ).
thf(739,plain,
! [SV4: $i > $i > $o] :
( ( ( parent_THFTYPE_IiioI @ ( sK20_SX0 @ SV4 ) @ ( sK60_SY56 @ SV4 ) )
= $false )
| ( ( ( SV4 @ ( sK5_SV7 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[658]) ).
thf(740,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ! [SV51: $i] :
( ( SV6 @ SV51 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[659]) ).
thf(741,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[659]) ).
thf(742,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[660]) ).
thf(743,plain,
! [SV6: $i > $i > $o,SV5: $i] :
( ( ( ~ ! [SY97: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK78_SX0 @ SV5 @ SV6 ) @ SY97 ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[661]) ).
thf(744,plain,
! [SV4: $i > $i > $o,SV5: $i] :
( ( ( ~ ! [SY98: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK79_SX0 @ SV5 @ SV4 ) @ SY98 ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[662]) ).
thf(745,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
| $true )
| ~ ( ~ ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
| ~ $true ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[663]) ).
thf(746,plain,
! [SV6: $i > $i > $o] :
( ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
= $true )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[663]) ).
thf(747,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ! [SY104: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK90_SX0 @ SV6 ) @ SY104 ) )
= $false )
| ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[664]) ).
thf(748,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SY92: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK61_SX0 @ SV6 ) @ SY92 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[665]) ).
thf(750,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) ) )
= $true )
| ( ( ~ $true ) = $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[667]) ).
thf(751,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ! [SY99: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK81_SX0 @ SV4 ) @ SY99 ) )
= $true )
| ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
= $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[668]) ).
thf(752,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK52_SX0 @ SV4 ) @ ( sK91_SY86 @ SV4 ) ) )
= $false )
| ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[669]) ).
thf(753,plain,
! [SV4: $i > $i > $o] :
( ( ( likes_THFTYPE_IiioI @ ( sK21_SX0 @ SV4 ) @ ( sK62_SY57 @ SV4 ) )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[670]) ).
thf(754,plain,
! [SV6: $i > $i > $o,SV5: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK53_SX0 @ SV5 @ SV6 ) @ ( sK92_SY87 @ SV6 @ SV5 ) ) )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[671]) ).
thf(755,plain,
! [SV4: $i > $i > $o,SV5: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK54_SX0 @ SV5 @ SV4 ) @ ( sK93_SY88 @ SV4 @ SV5 ) ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[672]) ).
thf(757,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
| ~ $true ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[673]) ).
thf(758,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ! [SY105: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK94_SX0 @ SV6 ) @ SY105 ) )
= $false )
| ( ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
= $true )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[674]) ).
thf(759,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SY93: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK64_SX0 @ SV6 ) @ SY93 ) )
= $false )
| ( ( ( SV6 @ ( sK36_SV30 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[675]) ).
thf(760,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK37_SX0 @ SV6 ) @ ( sK82_SY72 @ SV6 ) ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[676]) ).
thf(762,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
= $false )
| ( ( ~ $true ) = $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[678]) ).
thf(763,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK55_SX0 @ SV4 ) @ ( sK96_SY89 @ SV4 ) ) )
= $false )
| ( ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
= $true )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[679]) ).
thf(764,plain,
! [SV4: $i > $i > $o] :
( ( ( likes_THFTYPE_IiioI @ ( sK23_SX0 @ SV4 ) @ ( sK65_SY59 @ SV4 ) )
= $false )
| ( ( ( SV4 @ ( sK7_SV8 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[680]) ).
thf(765,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ! [SV52: $i] :
( ( SV6 @ SV52 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[681]) ).
thf(766,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[681]) ).
thf(767,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ! [SV53: $i] :
( ( SV6 @ SV53 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[682]) ).
thf(768,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[682]) ).
thf(770,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ ( sK39_SV31 @ SV6 ) @ ( sK66_SV42 @ SV6 ) )
| ~ $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[683]) ).
thf(771,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4 @ ( sK9_SV9 @ SV4 ) @ ( sK24_SV20 @ SV4 ) )
= $false )
| ( ( ~ $true ) = $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[686]) ).
thf(772,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ! [SV54: $i] :
( ( SV6 @ SV54 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[687]) ).
thf(773,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[687]) ).
thf(775,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ ( sK40_SV32 @ SV6 ) @ ( sK67_SV43 @ SV6 ) )
| ~ $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[688]) ).
thf(776,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4 @ ( sK10_SV10 @ SV4 ) @ ( sK25_SV21 @ SV4 ) )
= $false )
| ( ( ~ $true ) = $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[691]) ).
thf(777,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ! [SV55: $i] :
( ( SV6 @ SV55 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[692]) ).
thf(778,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[692]) ).
thf(780,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ ( sK41_SV33 @ SV6 ) @ ( sK68_SV44 @ SV6 ) )
| ~ $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[693]) ).
thf(781,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4 @ ( sK11_SV11 @ SV4 ) @ ( sK26_SV22 @ SV4 ) )
= $false )
| ( ( ~ $true ) = $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[696]) ).
thf(782,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ! [SV56: $i] :
( ( SV6 @ SV56 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[697]) ).
thf(783,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[697]) ).
thf(785,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ ( sK42_SV34 @ SV6 ) @ ( sK69_SV45 @ SV6 ) )
| ~ $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[698]) ).
thf(786,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4 @ ( sK12_SV12 @ SV4 ) @ ( sK27_SV23 @ SV4 ) )
= $false )
| ( ( ~ $true ) = $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[701]) ).
thf(787,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ! [SV57: $i] :
( ( SV6 @ SV57 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[702]) ).
thf(788,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[702]) ).
thf(790,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ ( sK43_SV35 @ SV6 ) @ ( sK70_SV46 @ SV6 ) )
| ~ $true ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[703]) ).
thf(791,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4 @ ( sK13_SV13 @ SV4 ) @ ( sK28_SV24 @ SV4 ) )
= $false )
| ( ( ~ $true ) = $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[706]) ).
thf(792,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ! [SV58: $i] :
( ( SV6 @ SV58 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[707]) ).
thf(793,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[707]) ).
thf(795,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ ( sK44_SV36 @ SV6 ) @ ( sK71_SV47 @ SV6 ) )
| ~ $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[708]) ).
thf(796,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4 @ ( sK14_SV14 @ SV4 ) @ ( sK29_SV25 @ SV4 ) )
= $false )
| ( ( ~ $true ) = $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[711]) ).
thf(797,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ! [SV59: $i] :
( ( SV6 @ SV59 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[712]) ).
thf(798,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[712]) ).
thf(800,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ ( sK45_SV37 @ SV6 ) @ ( sK72_SV48 @ SV6 ) )
| ~ $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[713]) ).
thf(801,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4 @ ( sK15_SV15 @ SV4 ) @ ( sK30_SV26 @ SV4 ) )
= $false )
| ( ( ~ $true ) = $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[716]) ).
thf(802,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ! [SV60: $i] :
( ( SV6 @ SV60 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[717]) ).
thf(803,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[717]) ).
thf(804,plain,
! [SV6: $i > $i > $o,SV5: $i] :
( ( ( ! [SY94: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK73_SX0 @ SV5 @ SV6 ) @ SY94 ) )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[718]) ).
thf(805,plain,
! [SV4: $i > $i > $o,SV5: $i] :
( ( ( ! [SY95: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK74_SX0 @ SV5 @ SV4 ) @ SY95 ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[719]) ).
thf(807,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
| ~ $true ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[720]) ).
thf(808,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false )
| ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
= $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[721]) ).
thf(809,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ! [SY100: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK83_SX0 @ SV6 ) @ SY100 ) )
= $true )
| ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[722]) ).
thf(810,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK56_SX0 @ SV6 ) @ ( sK97_SY90 @ SV6 ) ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[723]) ).
thf(812,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
= $false )
| ( ( ~ $true ) = $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[725]) ).
thf(813,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SY96: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK76_SX0 @ SV4 ) @ SY96 ) )
= $false )
| ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
= $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[726]) ).
thf(814,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK47_SX0 @ SV4 ) @ ( sK84_SY81 @ SV4 ) ) )
= $true )
| ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[727]) ).
thf(815,plain,
! [SV6: $i > $i > $o,SV5: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK48_SX0 @ SV5 @ SV6 ) @ ( sK85_SY82 @ SV6 @ SV5 ) ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[729]) ).
thf(816,plain,
! [SV4: $i > $i > $o,SV5: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK49_SX0 @ SV5 @ SV4 ) @ ( sK86_SY83 @ SV4 @ SV5 ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[730]) ).
thf(818,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
| ~ $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[732]) ).
thf(819,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ! [SY101: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK87_SX0 @ SV6 ) @ SY101 ) )
= $true )
| ( ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
= $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[733]) ).
thf(820,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK59_SX0 @ SV6 ) @ ( sK98_SY91 @ SV6 ) ) )
= $false )
| ( ( ( SV6 @ ( sK32_SV28 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[734]) ).
thf(821,plain,
! [SV6: $i > $i > $o] :
( ( ( parent_THFTYPE_IiioI @ ( sK33_SX0 @ SV6 ) @ ( sK77_SY69 @ SV6 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[735]) ).
thf(823,plain,
! [SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[737]) ).
thf(824,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK50_SX0 @ SV4 ) @ ( sK89_SY84 @ SV4 ) ) )
= $true )
| ( ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
= $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[738]) ).
thf(825,plain,
! [SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[740]) ).
thf(826,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[741]) ).
thf(827,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ! [SV62: $i] :
( ( SV6 @ SV62 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[742]) ).
thf(828,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[742]) ).
thf(829,plain,
! [SV6: $i > $i > $o,SV5: $i] :
( ( ( ! [SY97: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK78_SX0 @ SV5 @ SV6 ) @ SY97 ) )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[743]) ).
thf(830,plain,
! [SV4: $i > $i > $o,SV5: $i] :
( ( ( ! [SY98: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK79_SX0 @ SV5 @ SV4 ) @ SY98 ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[744]) ).
thf(832,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( ~ ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
| ~ $true ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[745]) ).
thf(833,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false )
| ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
= $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[746]) ).
thf(834,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ! [SY104: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK90_SX0 @ SV6 ) @ SY104 ) )
= $true )
| ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[747]) ).
thf(835,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK61_SX0 @ SV6 ) @ ( sK99_SY92 @ SV6 ) ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[748]) ).
thf(837,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
= $false )
| ( ( ~ $true ) = $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[750]) ).
thf(838,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SY99: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK81_SX0 @ SV4 ) @ SY99 ) )
= $false )
| ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
= $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[751]) ).
thf(839,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK52_SX0 @ SV4 ) @ ( sK91_SY86 @ SV4 ) ) )
= $true )
| ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[752]) ).
thf(840,plain,
! [SV6: $i > $i > $o,SV5: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK53_SX0 @ SV5 @ SV6 ) @ ( sK92_SY87 @ SV6 @ SV5 ) ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[754]) ).
thf(841,plain,
! [SV4: $i > $i > $o,SV5: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK54_SX0 @ SV5 @ SV4 ) @ ( sK93_SY88 @ SV4 @ SV5 ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[755]) ).
thf(843,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
| ~ $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[757]) ).
thf(844,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ! [SY105: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK94_SX0 @ SV6 ) @ SY105 ) )
= $true )
| ( ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
= $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[758]) ).
thf(845,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK64_SX0 @ SV6 ) @ ( sK100_SY93 @ SV6 ) ) )
= $false )
| ( ( ( SV6 @ ( sK36_SV30 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[759]) ).
thf(846,plain,
! [SV6: $i > $i > $o] :
( ( ( likes_THFTYPE_IiioI @ ( sK37_SX0 @ SV6 ) @ ( sK82_SY72 @ SV6 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[760]) ).
thf(848,plain,
! [SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[762]) ).
thf(849,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK55_SX0 @ SV4 ) @ ( sK96_SY89 @ SV4 ) ) )
= $true )
| ( ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
= $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[763]) ).
thf(850,plain,
! [SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[765]) ).
thf(851,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[766]) ).
thf(852,plain,
! [SV4: $i > $i > $o,SV5: $i,SV64: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV64 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[767]) ).
thf(853,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[768]) ).
thf(855,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ ( sK39_SV31 @ SV6 ) @ ( sK66_SV42 @ SV6 ) )
| ~ $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[770]) ).
thf(856,plain,
! [SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( SV4 @ ( sK9_SV9 @ SV4 ) @ ( sK24_SV20 @ SV4 ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[771]) ).
thf(857,plain,
! [SV4: $i > $i > $o,SV5: $i,SV65: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV65 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[772]) ).
thf(858,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[773]) ).
thf(860,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ ( sK40_SV32 @ SV6 ) @ ( sK67_SV43 @ SV6 ) )
| ~ $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[775]) ).
thf(861,plain,
! [SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( SV4 @ ( sK10_SV10 @ SV4 ) @ ( sK25_SV21 @ SV4 ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[776]) ).
thf(862,plain,
! [SV4: $i > $i > $o,SV5: $i,SV66: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV66 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[777]) ).
thf(863,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[778]) ).
thf(865,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ ( sK41_SV33 @ SV6 ) @ ( sK68_SV44 @ SV6 ) )
| ~ $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[780]) ).
thf(866,plain,
! [SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( SV4 @ ( sK11_SV11 @ SV4 ) @ ( sK26_SV22 @ SV4 ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[781]) ).
thf(867,plain,
! [SV4: $i > $i > $o,SV5: $i,SV67: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV67 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[782]) ).
thf(868,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[783]) ).
thf(870,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ ( sK42_SV34 @ SV6 ) @ ( sK69_SV45 @ SV6 ) )
| ~ $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[785]) ).
thf(871,plain,
! [SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( SV4 @ ( sK12_SV12 @ SV4 ) @ ( sK27_SV23 @ SV4 ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[786]) ).
thf(872,plain,
! [SV4: $i > $i > $o,SV5: $i,SV68: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV68 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[787]) ).
thf(873,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[788]) ).
thf(875,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ ( sK43_SV35 @ SV6 ) @ ( sK70_SV46 @ SV6 ) )
| ~ $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[790]) ).
thf(876,plain,
! [SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( SV4 @ ( sK13_SV13 @ SV4 ) @ ( sK28_SV24 @ SV4 ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[791]) ).
thf(877,plain,
! [SV4: $i > $i > $o,SV5: $i,SV69: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV69 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[792]) ).
thf(878,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[793]) ).
thf(880,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ ( sK44_SV36 @ SV6 ) @ ( sK71_SV47 @ SV6 ) )
| ~ $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[795]) ).
thf(881,plain,
! [SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( SV4 @ ( sK14_SV14 @ SV4 ) @ ( sK29_SV25 @ SV4 ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[796]) ).
thf(882,plain,
! [SV4: $i > $i > $o,SV5: $i,SV70: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV70 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[797]) ).
thf(883,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[798]) ).
thf(885,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ ( sK45_SV37 @ SV6 ) @ ( sK72_SV48 @ SV6 ) )
| ~ $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[800]) ).
thf(886,plain,
! [SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( SV4 @ ( sK15_SV15 @ SV4 ) @ ( sK30_SV26 @ SV4 ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[801]) ).
thf(887,plain,
! [SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[802]) ).
thf(888,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[803]) ).
thf(889,plain,
! [SV6: $i > $i > $o,SV5: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK73_SX0 @ SV5 @ SV6 ) @ ( sK101_SY94 @ SV6 @ SV5 ) ) )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[804]) ).
thf(890,plain,
! [SV4: $i > $i > $o,SV5: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK74_SX0 @ SV5 @ SV4 ) @ ( sK102_SY95 @ SV4 @ SV5 ) ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[805]) ).
thf(892,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
| ~ $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[807]) ).
thf(893,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ! [SY127: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK103_SX0 @ SV6 ) @ SY127 ) )
= $false )
| ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
= $true )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[808]) ).
thf(894,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SY100: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK83_SX0 @ SV6 ) @ SY100 ) )
= $false )
| ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[809]) ).
thf(895,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK56_SX0 @ SV6 ) @ ( sK97_SY90 @ SV6 ) ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[810]) ).
thf(897,plain,
! [SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[812]) ).
thf(898,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK76_SX0 @ SV4 ) @ ( sK105_SY96 @ SV4 ) ) )
= $false )
| ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
= $true )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[813]) ).
thf(899,plain,
! [SV4: $i > $i > $o] :
( ( ( parent_THFTYPE_IiioI @ ( sK47_SX0 @ SV4 ) @ ( sK84_SY81 @ SV4 ) )
= $false )
| ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[814]) ).
thf(900,plain,
! [SV6: $i > $i > $o,SV5: $i] :
( ( ( parent_THFTYPE_IiioI @ ( sK48_SX0 @ SV5 @ SV6 ) @ ( sK85_SY82 @ SV6 @ SV5 ) )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[815]) ).
thf(901,plain,
! [SV4: $i > $i > $o,SV5: $i] :
( ( ( parent_THFTYPE_IiioI @ ( sK49_SX0 @ SV5 @ SV4 ) @ ( sK86_SY83 @ SV4 @ SV5 ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[816]) ).
thf(903,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) ) )
= $true )
| ( ( ~ $true ) = $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[818]) ).
thf(904,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SY101: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK87_SX0 @ SV6 ) @ SY101 ) )
= $false )
| ( ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
= $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[819]) ).
thf(905,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK59_SX0 @ SV6 ) @ ( sK98_SY91 @ SV6 ) ) )
= $true )
| ( ( ( SV6 @ ( sK32_SV28 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[820]) ).
thf(907,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ~ ! [SY129: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK106_SX0 @ SV4 ) @ SY129 ) )
= $false )
| ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_forall_neg,[status(esa)],[823]) ).
thf(908,plain,
! [SV4: $i > $i > $o] :
( ( ( parent_THFTYPE_IiioI @ ( sK50_SX0 @ SV4 ) @ ( sK89_SY84 @ SV4 ) )
= $false )
| ( ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
= $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[824]) ).
thf(909,plain,
! [SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o] :
( ( ( ! [SV72: $i] :
( ( SV6 @ SV61 @ SV72 )
= $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[825]) ).
thf(910,plain,
! [SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[825]) ).
thf(911,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[826]) ).
thf(912,plain,
! [SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[827]) ).
thf(913,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[828]) ).
thf(914,plain,
! [SV6: $i > $i > $o,SV5: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK78_SX0 @ SV5 @ SV6 ) @ ( sK107_SY97 @ SV6 @ SV5 ) ) )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[829]) ).
thf(915,plain,
! [SV4: $i > $i > $o,SV5: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK79_SX0 @ SV5 @ SV4 ) @ ( sK108_SY98 @ SV4 @ SV5 ) ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[830]) ).
thf(917,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
| ~ $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[832]) ).
thf(918,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ! [SY131: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK109_SX0 @ SV6 ) @ SY131 ) )
= $false )
| ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
= $true )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[833]) ).
thf(919,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SY104: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK90_SX0 @ SV6 ) @ SY104 ) )
= $false )
| ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[834]) ).
thf(920,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK61_SX0 @ SV6 ) @ ( sK99_SY92 @ SV6 ) ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[835]) ).
thf(922,plain,
! [SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[837]) ).
thf(923,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK81_SX0 @ SV4 ) @ ( sK111_SY99 @ SV4 ) ) )
= $false )
| ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
= $true )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[838]) ).
thf(924,plain,
! [SV4: $i > $i > $o] :
( ( ( likes_THFTYPE_IiioI @ ( sK52_SX0 @ SV4 ) @ ( sK91_SY86 @ SV4 ) )
= $false )
| ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[839]) ).
thf(925,plain,
! [SV6: $i > $i > $o,SV5: $i] :
( ( ( likes_THFTYPE_IiioI @ ( sK53_SX0 @ SV5 @ SV6 ) @ ( sK92_SY87 @ SV6 @ SV5 ) )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[840]) ).
thf(926,plain,
! [SV4: $i > $i > $o,SV5: $i] :
( ( ( likes_THFTYPE_IiioI @ ( sK54_SX0 @ SV5 @ SV4 ) @ ( sK93_SY88 @ SV4 @ SV5 ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[841]) ).
thf(928,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) ) )
= $true )
| ( ( ~ $true ) = $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[843]) ).
thf(929,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SY105: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK94_SX0 @ SV6 ) @ SY105 ) )
= $false )
| ( ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
= $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[844]) ).
thf(930,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK64_SX0 @ SV6 ) @ ( sK100_SY93 @ SV6 ) ) )
= $true )
| ( ( ( SV6 @ ( sK36_SV30 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[845]) ).
thf(932,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ~ ! [SY133: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK112_SX0 @ SV4 ) @ SY133 ) )
= $false )
| ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_forall_neg,[status(esa)],[848]) ).
thf(933,plain,
! [SV4: $i > $i > $o] :
( ( ( likes_THFTYPE_IiioI @ ( sK55_SX0 @ SV4 ) @ ( sK96_SY89 @ SV4 ) )
= $false )
| ( ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
= $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[849]) ).
thf(934,plain,
! [SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o] :
( ( ( ! [SV74: $i] :
( ( SV6 @ SV63 @ SV74 )
= $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[850]) ).
thf(935,plain,
! [SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[850]) ).
thf(936,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[851]) ).
thf(937,plain,
! [SV4: $i > $i > $o,SV5: $i,SV64: $i,SV6: $i > $i > $o] :
( ( ( ! [SV75: $i] :
( ( SV6 @ SV64 @ SV75 )
= $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[852]) ).
thf(938,plain,
! [SV4: $i > $i > $o,SV5: $i,SV64: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV64 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[852]) ).
thf(939,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[853]) ).
thf(941,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ ( sK39_SV31 @ SV6 ) @ ( sK66_SV42 @ SV6 ) ) )
= $true )
| ( ( ~ $true ) = $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[855]) ).
thf(942,plain,
! [SV4: $i > $i > $o,SV5: $i,SV65: $i,SV6: $i > $i > $o] :
( ( ( ! [SV76: $i] :
( ( SV6 @ SV65 @ SV76 )
= $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[857]) ).
thf(943,plain,
! [SV4: $i > $i > $o,SV5: $i,SV65: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV65 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[857]) ).
thf(944,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[858]) ).
thf(946,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ ( sK40_SV32 @ SV6 ) @ ( sK67_SV43 @ SV6 ) ) )
= $true )
| ( ( ~ $true ) = $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[860]) ).
thf(947,plain,
! [SV4: $i > $i > $o,SV5: $i,SV66: $i,SV6: $i > $i > $o] :
( ( ( ! [SV77: $i] :
( ( SV6 @ SV66 @ SV77 )
= $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[862]) ).
thf(948,plain,
! [SV4: $i > $i > $o,SV5: $i,SV66: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV66 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[862]) ).
thf(949,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[863]) ).
thf(951,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ ( sK41_SV33 @ SV6 ) @ ( sK68_SV44 @ SV6 ) ) )
= $true )
| ( ( ~ $true ) = $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[865]) ).
thf(952,plain,
! [SV4: $i > $i > $o,SV5: $i,SV67: $i,SV6: $i > $i > $o] :
( ( ( ! [SV78: $i] :
( ( SV6 @ SV67 @ SV78 )
= $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[867]) ).
thf(953,plain,
! [SV4: $i > $i > $o,SV5: $i,SV67: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV67 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[867]) ).
thf(954,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[868]) ).
thf(956,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ ( sK42_SV34 @ SV6 ) @ ( sK69_SV45 @ SV6 ) ) )
= $true )
| ( ( ~ $true ) = $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[870]) ).
thf(957,plain,
! [SV4: $i > $i > $o,SV5: $i,SV68: $i,SV6: $i > $i > $o] :
( ( ( ! [SV79: $i] :
( ( SV6 @ SV68 @ SV79 )
= $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[872]) ).
thf(958,plain,
! [SV4: $i > $i > $o,SV5: $i,SV68: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV68 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[872]) ).
thf(959,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[873]) ).
thf(961,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ ( sK43_SV35 @ SV6 ) @ ( sK70_SV46 @ SV6 ) ) )
= $true )
| ( ( ~ $true ) = $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[875]) ).
thf(962,plain,
! [SV4: $i > $i > $o,SV5: $i,SV69: $i,SV6: $i > $i > $o] :
( ( ( ! [SV80: $i] :
( ( SV6 @ SV69 @ SV80 )
= $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[877]) ).
thf(963,plain,
! [SV4: $i > $i > $o,SV5: $i,SV69: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV69 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[877]) ).
thf(964,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[878]) ).
thf(966,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ ( sK44_SV36 @ SV6 ) @ ( sK71_SV47 @ SV6 ) ) )
= $true )
| ( ( ~ $true ) = $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[880]) ).
thf(967,plain,
! [SV4: $i > $i > $o,SV5: $i,SV70: $i,SV6: $i > $i > $o] :
( ( ( ! [SV81: $i] :
( ( SV6 @ SV70 @ SV81 )
= $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[882]) ).
thf(968,plain,
! [SV4: $i > $i > $o,SV5: $i,SV70: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV70 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[882]) ).
thf(969,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[883]) ).
thf(971,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ ( sK45_SV37 @ SV6 ) @ ( sK72_SV48 @ SV6 ) ) )
= $true )
| ( ( ~ $true ) = $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[885]) ).
thf(972,plain,
! [SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o] :
( ( ( ! [SV82: $i] :
( ( SV6 @ SV71 @ SV82 )
= $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[887]) ).
thf(973,plain,
! [SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[887]) ).
thf(974,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[888]) ).
thf(975,plain,
! [SV6: $i > $i > $o,SV5: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK73_SX0 @ SV5 @ SV6 ) @ ( sK101_SY94 @ SV6 @ SV5 ) ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[889]) ).
thf(976,plain,
! [SV4: $i > $i > $o,SV5: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK74_SX0 @ SV5 @ SV4 ) @ ( sK102_SY95 @ SV4 @ SV5 ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[890]) ).
thf(978,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) ) )
= $true )
| ( ( ~ $true ) = $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[892]) ).
thf(979,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ! [SY127: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK103_SX0 @ SV6 ) @ SY127 ) )
= $true )
| ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
= $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[893]) ).
thf(980,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK83_SX0 @ SV6 ) @ ( sK113_SY100 @ SV6 ) ) )
= $false )
| ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[894]) ).
thf(981,plain,
! [SV6: $i > $i > $o] :
( ( ( parent_THFTYPE_IiioI @ ( sK56_SX0 @ SV6 ) @ ( sK97_SY90 @ SV6 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[895]) ).
thf(983,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false )
| ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[897]) ).
thf(984,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK76_SX0 @ SV4 ) @ ( sK105_SY96 @ SV4 ) ) )
= $true )
| ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
= $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[898]) ).
thf(986,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
= $false )
| ( ( ~ $true ) = $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[903]) ).
thf(987,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK87_SX0 @ SV6 ) @ ( sK115_SY101 @ SV6 ) ) )
= $false )
| ( ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
= $true )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[904]) ).
thf(988,plain,
! [SV6: $i > $i > $o] :
( ( ( parent_THFTYPE_IiioI @ ( sK59_SX0 @ SV6 ) @ ( sK98_SY91 @ SV6 ) )
= $false )
| ( ( ( SV6 @ ( sK32_SV28 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[905]) ).
thf(990,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ! [SY129: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK106_SX0 @ SV4 ) @ SY129 ) )
= $true )
| ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[907]) ).
thf(991,plain,
! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[909]) ).
thf(992,plain,
! [SV61: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[910]) ).
thf(993,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV84: $i] :
( ( SV4 @ SV84 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[911]) ).
thf(994,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[911]) ).
thf(995,plain,
! [SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o] :
( ( ( ! [SV85: $i] :
( ( SV6 @ SV73 @ SV85 )
= $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[912]) ).
thf(996,plain,
! [SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[912]) ).
thf(997,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[913]) ).
thf(998,plain,
! [SV6: $i > $i > $o,SV5: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK78_SX0 @ SV5 @ SV6 ) @ ( sK107_SY97 @ SV6 @ SV5 ) ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[914]) ).
thf(999,plain,
! [SV4: $i > $i > $o,SV5: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK79_SX0 @ SV5 @ SV4 ) @ ( sK108_SY98 @ SV4 @ SV5 ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[915]) ).
thf(1001,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) ) )
= $true )
| ( ( ~ $true ) = $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[917]) ).
thf(1002,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ! [SY131: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK109_SX0 @ SV6 ) @ SY131 ) )
= $true )
| ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
= $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[918]) ).
thf(1003,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK90_SX0 @ SV6 ) @ ( sK117_SY104 @ SV6 ) ) )
= $false )
| ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[919]) ).
thf(1004,plain,
! [SV6: $i > $i > $o] :
( ( ( likes_THFTYPE_IiioI @ ( sK61_SX0 @ SV6 ) @ ( sK99_SY92 @ SV6 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[920]) ).
thf(1006,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false )
| ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[922]) ).
thf(1007,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK81_SX0 @ SV4 ) @ ( sK111_SY99 @ SV4 ) ) )
= $true )
| ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
= $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[923]) ).
thf(1009,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
= $false )
| ( ( ~ $true ) = $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[928]) ).
thf(1010,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK94_SX0 @ SV6 ) @ ( sK119_SY105 @ SV6 ) ) )
= $false )
| ( ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
= $true )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[929]) ).
thf(1011,plain,
! [SV6: $i > $i > $o] :
( ( ( likes_THFTYPE_IiioI @ ( sK64_SX0 @ SV6 ) @ ( sK100_SY93 @ SV6 ) )
= $false )
| ( ( ( SV6 @ ( sK36_SV30 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[930]) ).
thf(1013,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ! [SY133: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK112_SX0 @ SV4 ) @ SY133 ) )
= $true )
| ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[932]) ).
thf(1014,plain,
! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[934]) ).
thf(1015,plain,
! [SV63: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[935]) ).
thf(1016,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV87: $i] :
( ( SV4 @ SV87 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[936]) ).
thf(1017,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[936]) ).
thf(1018,plain,
! [SV4: $i > $i > $o,SV5: $i,SV88: $i,SV64: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV64 @ SV88 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[937]) ).
thf(1019,plain,
! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[938]) ).
thf(1020,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV89: $i] :
( ( SV4 @ SV89 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[939]) ).
thf(1021,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[939]) ).
thf(1022,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6 @ ( sK39_SV31 @ SV6 ) @ ( sK66_SV42 @ SV6 ) )
= $false )
| ( ( ~ $true ) = $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[941]) ).
thf(1023,plain,
! [SV4: $i > $i > $o,SV5: $i,SV90: $i,SV65: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV65 @ SV90 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[942]) ).
thf(1024,plain,
! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[943]) ).
thf(1025,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV91: $i] :
( ( SV4 @ SV91 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[944]) ).
thf(1026,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[944]) ).
thf(1027,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6 @ ( sK40_SV32 @ SV6 ) @ ( sK67_SV43 @ SV6 ) )
= $false )
| ( ( ~ $true ) = $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[946]) ).
thf(1028,plain,
! [SV4: $i > $i > $o,SV5: $i,SV92: $i,SV66: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV66 @ SV92 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[947]) ).
thf(1029,plain,
! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[948]) ).
thf(1030,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV93: $i] :
( ( SV4 @ SV93 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[949]) ).
thf(1031,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[949]) ).
thf(1032,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6 @ ( sK41_SV33 @ SV6 ) @ ( sK68_SV44 @ SV6 ) )
= $false )
| ( ( ~ $true ) = $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[951]) ).
thf(1033,plain,
! [SV4: $i > $i > $o,SV5: $i,SV94: $i,SV67: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV67 @ SV94 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[952]) ).
thf(1034,plain,
! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[953]) ).
thf(1035,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV95: $i] :
( ( SV4 @ SV95 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[954]) ).
thf(1036,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[954]) ).
thf(1037,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6 @ ( sK42_SV34 @ SV6 ) @ ( sK69_SV45 @ SV6 ) )
= $false )
| ( ( ~ $true ) = $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[956]) ).
thf(1038,plain,
! [SV4: $i > $i > $o,SV5: $i,SV96: $i,SV68: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV68 @ SV96 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[957]) ).
thf(1039,plain,
! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[958]) ).
thf(1040,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV97: $i] :
( ( SV4 @ SV97 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[959]) ).
thf(1041,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[959]) ).
thf(1042,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6 @ ( sK43_SV35 @ SV6 ) @ ( sK70_SV46 @ SV6 ) )
= $false )
| ( ( ~ $true ) = $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[961]) ).
thf(1043,plain,
! [SV4: $i > $i > $o,SV5: $i,SV98: $i,SV69: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV69 @ SV98 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[962]) ).
thf(1044,plain,
! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[963]) ).
thf(1045,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV99: $i] :
( ( SV4 @ SV99 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[964]) ).
thf(1046,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[964]) ).
thf(1047,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6 @ ( sK44_SV36 @ SV6 ) @ ( sK71_SV47 @ SV6 ) )
= $false )
| ( ( ~ $true ) = $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[966]) ).
thf(1048,plain,
! [SV4: $i > $i > $o,SV5: $i,SV100: $i,SV70: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV70 @ SV100 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[967]) ).
thf(1049,plain,
! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[968]) ).
thf(1050,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV101: $i] :
( ( SV4 @ SV101 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[969]) ).
thf(1051,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[969]) ).
thf(1052,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6 @ ( sK45_SV37 @ SV6 ) @ ( sK72_SV48 @ SV6 ) )
= $false )
| ( ( ~ $true ) = $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[971]) ).
thf(1053,plain,
! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[972]) ).
thf(1054,plain,
! [SV71: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[973]) ).
thf(1055,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV103: $i] :
( ( SV4 @ SV103 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[974]) ).
thf(1056,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[974]) ).
thf(1057,plain,
! [SV6: $i > $i > $o,SV5: $i] :
( ( ( parent_THFTYPE_IiioI @ ( sK73_SX0 @ SV5 @ SV6 ) @ ( sK101_SY94 @ SV6 @ SV5 ) )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[975]) ).
thf(1058,plain,
! [SV4: $i > $i > $o,SV5: $i] :
( ( ( parent_THFTYPE_IiioI @ ( sK74_SX0 @ SV5 @ SV4 ) @ ( sK102_SY95 @ SV4 @ SV5 ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[976]) ).
thf(1060,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
= $false )
| ( ( ~ $true ) = $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[978]) ).
thf(1061,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SY127: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK103_SX0 @ SV6 ) @ SY127 ) )
= $false )
| ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
= $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[979]) ).
thf(1062,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK83_SX0 @ SV6 ) @ ( sK113_SY100 @ SV6 ) ) )
= $true )
| ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[980]) ).
thf(1064,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ~ ! [SY146: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK121_SX0 @ SV4 ) @ SY146 ) )
= $false )
| ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_forall_neg,[status(esa)],[983]) ).
thf(1065,plain,
! [SV4: $i > $i > $o] :
( ( ( parent_THFTYPE_IiioI @ ( sK76_SX0 @ SV4 ) @ ( sK105_SY96 @ SV4 ) )
= $false )
| ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
= $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[984]) ).
thf(1067,plain,
! [SV6: $i > $i > $o] :
( ( $true = $false )
| ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[986]) ).
thf(1068,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK87_SX0 @ SV6 ) @ ( sK115_SY101 @ SV6 ) ) )
= $true )
| ( ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
= $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[987]) ).
thf(1070,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SY129: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK106_SX0 @ SV4 ) @ SY129 ) )
= $false )
| ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[990]) ).
thf(1071,plain,
! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6 @ SV61 @ SV83 )
| $true )
| ~ ( ~ ( SV6 @ SV61 @ SV83 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[991]) ).
thf(1072,plain,
! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[991]) ).
thf(1073,plain,
! [SV61: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[992]) ).
thf(1074,plain,
! [SV6: $i > $i > $o,SV5: $i,SV104: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV104 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[993]) ).
thf(1075,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV105: $i] :
( ( ( ~ ~ ! [SY148: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV105 @ SY148 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[994]) ).
thf(1076,plain,
! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[995]) ).
thf(1077,plain,
! [SV73: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[996]) ).
thf(1078,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV107: $i] :
( ( SV4 @ SV107 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[997]) ).
thf(1079,plain,
! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[997]) ).
thf(1080,plain,
! [SV6: $i > $i > $o,SV5: $i] :
( ( ( likes_THFTYPE_IiioI @ ( sK78_SX0 @ SV5 @ SV6 ) @ ( sK107_SY97 @ SV6 @ SV5 ) )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[998]) ).
thf(1081,plain,
! [SV4: $i > $i > $o,SV5: $i] :
( ( ( likes_THFTYPE_IiioI @ ( sK79_SX0 @ SV5 @ SV4 ) @ ( sK108_SY98 @ SV4 @ SV5 ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[999]) ).
thf(1083,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
= $false )
| ( ( ~ $true ) = $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1001]) ).
thf(1084,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SY131: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK109_SX0 @ SV6 ) @ SY131 ) )
= $false )
| ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
= $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1002]) ).
thf(1085,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK90_SX0 @ SV6 ) @ ( sK117_SY104 @ SV6 ) ) )
= $true )
| ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1003]) ).
thf(1087,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ~ ! [SY150: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK122_SX0 @ SV4 ) @ SY150 ) )
= $false )
| ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1006]) ).
thf(1088,plain,
! [SV4: $i > $i > $o] :
( ( ( likes_THFTYPE_IiioI @ ( sK81_SX0 @ SV4 ) @ ( sK111_SY99 @ SV4 ) )
= $false )
| ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
= $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1007]) ).
thf(1090,plain,
! [SV6: $i > $i > $o] :
( ( $true = $false )
| ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
= $false )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1009]) ).
thf(1091,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK94_SX0 @ SV6 ) @ ( sK119_SY105 @ SV6 ) ) )
= $true )
| ( ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
= $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1010]) ).
thf(1093,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SY133: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK112_SX0 @ SV4 ) @ SY133 ) )
= $false )
| ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1013]) ).
thf(1094,plain,
! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6 @ SV63 @ SV86 )
| $true )
| ~ ( ~ ( SV6 @ SV63 @ SV86 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1014]) ).
thf(1095,plain,
! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1014]) ).
thf(1096,plain,
! [SV63: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1015]) ).
thf(1097,plain,
! [SV6: $i > $i > $o,SV5: $i,SV108: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV108 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1016]) ).
thf(1098,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV109: $i] :
( ( ( ~ ~ ! [SY152: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV109 @ SY152 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1017]) ).
thf(1099,plain,
! [SV4: $i > $i > $o,SV5: $i,SV88: $i,SV64: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6 @ SV64 @ SV88 )
| $true )
| ~ ( ~ ( SV6 @ SV64 @ SV88 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1018]) ).
thf(1100,plain,
! [SV4: $i > $i > $o,SV5: $i,SV88: $i,SV64: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV64 @ SV88 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1018]) ).
thf(1101,plain,
! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1019]) ).
thf(1102,plain,
! [SV6: $i > $i > $o,SV5: $i,SV110: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV110 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1020]) ).
thf(1103,plain,
! [SV6: $i > $i > $o] :
( ( $true = $false )
| ( ( SV6 @ ( sK39_SV31 @ SV6 ) @ ( sK66_SV42 @ SV6 ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1022]) ).
thf(1104,plain,
! [SV4: $i > $i > $o,SV5: $i,SV90: $i,SV65: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6 @ SV65 @ SV90 )
| $true )
| ~ ( ~ ( SV6 @ SV65 @ SV90 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1023]) ).
thf(1105,plain,
! [SV4: $i > $i > $o,SV5: $i,SV90: $i,SV65: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV65 @ SV90 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1023]) ).
thf(1106,plain,
! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1024]) ).
thf(1107,plain,
! [SV6: $i > $i > $o,SV5: $i,SV111: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV111 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1025]) ).
thf(1108,plain,
! [SV6: $i > $i > $o] :
( ( $true = $false )
| ( ( SV6 @ ( sK40_SV32 @ SV6 ) @ ( sK67_SV43 @ SV6 ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1027]) ).
thf(1109,plain,
! [SV4: $i > $i > $o,SV5: $i,SV92: $i,SV66: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6 @ SV66 @ SV92 )
| $true )
| ~ ( ~ ( SV6 @ SV66 @ SV92 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1028]) ).
thf(1110,plain,
! [SV4: $i > $i > $o,SV5: $i,SV92: $i,SV66: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV66 @ SV92 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1028]) ).
thf(1111,plain,
! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1029]) ).
thf(1112,plain,
! [SV6: $i > $i > $o,SV5: $i,SV112: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV112 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1030]) ).
thf(1113,plain,
! [SV6: $i > $i > $o] :
( ( $true = $false )
| ( ( SV6 @ ( sK41_SV33 @ SV6 ) @ ( sK68_SV44 @ SV6 ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1032]) ).
thf(1114,plain,
! [SV4: $i > $i > $o,SV5: $i,SV94: $i,SV67: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6 @ SV67 @ SV94 )
| $true )
| ~ ( ~ ( SV6 @ SV67 @ SV94 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1033]) ).
thf(1115,plain,
! [SV4: $i > $i > $o,SV5: $i,SV94: $i,SV67: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV67 @ SV94 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1033]) ).
thf(1116,plain,
! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1034]) ).
thf(1117,plain,
! [SV6: $i > $i > $o,SV5: $i,SV113: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV113 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1035]) ).
thf(1118,plain,
! [SV6: $i > $i > $o] :
( ( $true = $false )
| ( ( SV6 @ ( sK42_SV34 @ SV6 ) @ ( sK69_SV45 @ SV6 ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1037]) ).
thf(1119,plain,
! [SV4: $i > $i > $o,SV5: $i,SV96: $i,SV68: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6 @ SV68 @ SV96 )
| $true )
| ~ ( ~ ( SV6 @ SV68 @ SV96 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1038]) ).
thf(1120,plain,
! [SV4: $i > $i > $o,SV5: $i,SV96: $i,SV68: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV68 @ SV96 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1038]) ).
thf(1121,plain,
! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1039]) ).
thf(1122,plain,
! [SV6: $i > $i > $o,SV5: $i,SV114: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV114 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1040]) ).
thf(1123,plain,
! [SV6: $i > $i > $o] :
( ( $true = $false )
| ( ( SV6 @ ( sK43_SV35 @ SV6 ) @ ( sK70_SV46 @ SV6 ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1042]) ).
thf(1124,plain,
! [SV4: $i > $i > $o,SV5: $i,SV98: $i,SV69: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6 @ SV69 @ SV98 )
| $true )
| ~ ( ~ ( SV6 @ SV69 @ SV98 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1043]) ).
thf(1125,plain,
! [SV4: $i > $i > $o,SV5: $i,SV98: $i,SV69: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV69 @ SV98 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1043]) ).
thf(1126,plain,
! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1044]) ).
thf(1127,plain,
! [SV6: $i > $i > $o,SV5: $i,SV115: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV115 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1045]) ).
thf(1128,plain,
! [SV6: $i > $i > $o] :
( ( $true = $false )
| ( ( SV6 @ ( sK44_SV36 @ SV6 ) @ ( sK71_SV47 @ SV6 ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1047]) ).
thf(1129,plain,
! [SV4: $i > $i > $o,SV5: $i,SV100: $i,SV70: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6 @ SV70 @ SV100 )
| $true )
| ~ ( ~ ( SV6 @ SV70 @ SV100 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1048]) ).
thf(1130,plain,
! [SV4: $i > $i > $o,SV5: $i,SV100: $i,SV70: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV70 @ SV100 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1048]) ).
thf(1131,plain,
! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1049]) ).
thf(1132,plain,
! [SV6: $i > $i > $o,SV5: $i,SV116: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV116 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1050]) ).
thf(1133,plain,
! [SV6: $i > $i > $o] :
( ( $true = $false )
| ( ( SV6 @ ( sK45_SV37 @ SV6 ) @ ( sK72_SV48 @ SV6 ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1052]) ).
thf(1134,plain,
! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6 @ SV71 @ SV102 )
| $true )
| ~ ( ~ ( SV6 @ SV71 @ SV102 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1053]) ).
thf(1135,plain,
! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1053]) ).
thf(1136,plain,
! [SV71: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1054]) ).
thf(1137,plain,
! [SV6: $i > $i > $o,SV5: $i,SV117: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV117 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1055]) ).
thf(1138,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1056]) ).
thf(1140,plain,
! [SV6: $i > $i > $o] :
( ( $true = $false )
| ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1060]) ).
thf(1141,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK103_SX0 @ SV6 ) @ ( sK124_SY127 @ SV6 ) ) )
= $false )
| ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
= $true )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1061]) ).
thf(1142,plain,
! [SV6: $i > $i > $o] :
( ( ( parent_THFTYPE_IiioI @ ( sK83_SX0 @ SV6 ) @ ( sK113_SY100 @ SV6 ) )
= $false )
| ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1062]) ).
thf(1144,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ! [SY146: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK121_SX0 @ SV4 ) @ SY146 ) )
= $true )
| ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1064]) ).
thf(1146,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ! [SY162: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK126_SX0 @ SV6 ) @ SY162 ) )
= $false )
| ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1067]) ).
thf(1147,plain,
! [SV6: $i > $i > $o] :
( ( ( parent_THFTYPE_IiioI @ ( sK87_SX0 @ SV6 ) @ ( sK115_SY101 @ SV6 ) )
= $false )
| ( ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
= $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1068]) ).
thf(1149,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK106_SX0 @ SV4 ) @ ( sK127_SY129 @ SV4 ) ) )
= $false )
| ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1070]) ).
thf(1150,plain,
! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6 @ SV61 @ SV83 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV6 @ SV61 @ SV83 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1071]) ).
thf(1151,plain,
! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1072]) ).
thf(1152,plain,
! [SV61: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV118: $i] :
( ( SV4 @ SV118 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1073]) ).
thf(1153,plain,
! [SV61: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1073]) ).
thf(1154,plain,
! [SV6: $i > $i > $o,SV5: $i,SV104: $i,SV4: $i > $i > $o] :
( ( ( ! [SV119: $i] :
( ( SV4 @ SV104 @ SV119 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1074]) ).
thf(1155,plain,
! [SV6: $i > $i > $o,SV5: $i,SV104: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV104 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1074]) ).
thf(1156,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV105: $i] :
( ( ( ~ ! [SY148: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV105 @ SY148 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1075]) ).
thf(1157,plain,
! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6 @ SV73 @ SV106 )
| $true )
| ~ ( ~ ( SV6 @ SV73 @ SV106 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1076]) ).
thf(1158,plain,
! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1076]) ).
thf(1159,plain,
! [SV73: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1077]) ).
thf(1160,plain,
! [SV6: $i > $i > $o,SV5: $i,SV120: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV120 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1078]) ).
thf(1161,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1079]) ).
thf(1163,plain,
! [SV6: $i > $i > $o] :
( ( $true = $false )
| ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1083]) ).
thf(1164,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK109_SX0 @ SV6 ) @ ( sK129_SY131 @ SV6 ) ) )
= $false )
| ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
= $true )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1084]) ).
thf(1165,plain,
! [SV6: $i > $i > $o] :
( ( ( likes_THFTYPE_IiioI @ ( sK90_SX0 @ SV6 ) @ ( sK117_SY104 @ SV6 ) )
= $false )
| ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) )
= ( ^ [SX1: $i] : $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1085]) ).
thf(1167,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ! [SY150: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK122_SX0 @ SV4 ) @ SY150 ) )
= $true )
| ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1087]) ).
thf(1169,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ! [SY166: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK131_SX0 @ SV6 ) @ SY166 ) )
= $false )
| ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1090]) ).
thf(1170,plain,
! [SV6: $i > $i > $o] :
( ( ( likes_THFTYPE_IiioI @ ( sK94_SX0 @ SV6 ) @ ( sK119_SY105 @ SV6 ) )
= $false )
| ( ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
= $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1091]) ).
thf(1172,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK112_SX0 @ SV4 ) @ ( sK132_SY133 @ SV4 ) ) )
= $false )
| ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1093]) ).
thf(1173,plain,
! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6 @ SV63 @ SV86 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV6 @ SV63 @ SV86 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1094]) ).
thf(1174,plain,
! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1095]) ).
thf(1175,plain,
! [SV63: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV121: $i] :
( ( SV4 @ SV121 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1096]) ).
thf(1176,plain,
! [SV63: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1096]) ).
thf(1177,plain,
! [SV6: $i > $i > $o,SV5: $i,SV108: $i,SV4: $i > $i > $o] :
( ( ( ! [SV122: $i] :
( ( SV4 @ SV108 @ SV122 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1097]) ).
thf(1178,plain,
! [SV6: $i > $i > $o,SV5: $i,SV108: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV108 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1097]) ).
thf(1179,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV109: $i] :
( ( ( ~ ! [SY152: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV109 @ SY152 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1098]) ).
thf(1180,plain,
! [SV4: $i > $i > $o,SV5: $i,SV88: $i,SV64: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6 @ SV64 @ SV88 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV6 @ SV64 @ SV88 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1099]) ).
thf(1181,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 @ SV88 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1100]) ).
thf(1182,plain,
! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV123: $i] :
( ( SV4 @ SV123 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1101]) ).
thf(1183,plain,
! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1101]) ).
thf(1184,plain,
! [SV6: $i > $i > $o,SV5: $i,SV110: $i,SV4: $i > $i > $o] :
( ( ( ! [SV124: $i] :
( ( SV4 @ SV110 @ SV124 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1102]) ).
thf(1185,plain,
! [SV6: $i > $i > $o,SV5: $i,SV110: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV110 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1102]) ).
thf(1186,plain,
! [SV4: $i > $i > $o,SV5: $i,SV90: $i,SV65: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6 @ SV65 @ SV90 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV6 @ SV65 @ SV90 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1104]) ).
thf(1187,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 @ SV90 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1105]) ).
thf(1188,plain,
! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV125: $i] :
( ( SV4 @ SV125 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1106]) ).
thf(1189,plain,
! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1106]) ).
thf(1190,plain,
! [SV6: $i > $i > $o,SV5: $i,SV111: $i,SV4: $i > $i > $o] :
( ( ( ! [SV126: $i] :
( ( SV4 @ SV111 @ SV126 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1107]) ).
thf(1191,plain,
! [SV6: $i > $i > $o,SV5: $i,SV111: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV111 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1107]) ).
thf(1192,plain,
! [SV4: $i > $i > $o,SV5: $i,SV92: $i,SV66: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6 @ SV66 @ SV92 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV6 @ SV66 @ SV92 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1109]) ).
thf(1193,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 @ SV92 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1110]) ).
thf(1194,plain,
! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV127: $i] :
( ( SV4 @ SV127 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1111]) ).
thf(1195,plain,
! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1111]) ).
thf(1196,plain,
! [SV6: $i > $i > $o,SV5: $i,SV112: $i,SV4: $i > $i > $o] :
( ( ( ! [SV128: $i] :
( ( SV4 @ SV112 @ SV128 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1112]) ).
thf(1197,plain,
! [SV6: $i > $i > $o,SV5: $i,SV112: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV112 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1112]) ).
thf(1198,plain,
! [SV4: $i > $i > $o,SV5: $i,SV94: $i,SV67: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6 @ SV67 @ SV94 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV6 @ SV67 @ SV94 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1114]) ).
thf(1199,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 @ SV94 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1115]) ).
thf(1200,plain,
! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV129: $i] :
( ( SV4 @ SV129 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1116]) ).
thf(1201,plain,
! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1116]) ).
thf(1202,plain,
! [SV6: $i > $i > $o,SV5: $i,SV113: $i,SV4: $i > $i > $o] :
( ( ( ! [SV130: $i] :
( ( SV4 @ SV113 @ SV130 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1117]) ).
thf(1203,plain,
! [SV6: $i > $i > $o,SV5: $i,SV113: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV113 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1117]) ).
thf(1204,plain,
! [SV4: $i > $i > $o,SV5: $i,SV96: $i,SV68: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6 @ SV68 @ SV96 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV6 @ SV68 @ SV96 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1119]) ).
thf(1205,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 @ SV96 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1120]) ).
thf(1206,plain,
! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV131: $i] :
( ( SV4 @ SV131 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1121]) ).
thf(1207,plain,
! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1121]) ).
thf(1208,plain,
! [SV6: $i > $i > $o,SV5: $i,SV114: $i,SV4: $i > $i > $o] :
( ( ( ! [SV132: $i] :
( ( SV4 @ SV114 @ SV132 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1122]) ).
thf(1209,plain,
! [SV6: $i > $i > $o,SV5: $i,SV114: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV114 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1122]) ).
thf(1210,plain,
! [SV4: $i > $i > $o,SV5: $i,SV98: $i,SV69: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6 @ SV69 @ SV98 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV6 @ SV69 @ SV98 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1124]) ).
thf(1211,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 @ SV98 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1125]) ).
thf(1212,plain,
! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV133: $i] :
( ( SV4 @ SV133 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1126]) ).
thf(1213,plain,
! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1126]) ).
thf(1214,plain,
! [SV6: $i > $i > $o,SV5: $i,SV115: $i,SV4: $i > $i > $o] :
( ( ( ! [SV134: $i] :
( ( SV4 @ SV115 @ SV134 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1127]) ).
thf(1215,plain,
! [SV6: $i > $i > $o,SV5: $i,SV115: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV115 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1127]) ).
thf(1216,plain,
! [SV4: $i > $i > $o,SV5: $i,SV100: $i,SV70: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6 @ SV70 @ SV100 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV6 @ SV70 @ SV100 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1129]) ).
thf(1217,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 @ SV100 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1130]) ).
thf(1218,plain,
! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV135: $i] :
( ( SV4 @ SV135 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1131]) ).
thf(1219,plain,
! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1131]) ).
thf(1220,plain,
! [SV6: $i > $i > $o,SV5: $i,SV116: $i,SV4: $i > $i > $o] :
( ( ( ! [SV136: $i] :
( ( SV4 @ SV116 @ SV136 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1132]) ).
thf(1221,plain,
! [SV6: $i > $i > $o,SV5: $i,SV116: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV116 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1132]) ).
thf(1222,plain,
! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6 @ SV71 @ SV102 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV6 @ SV71 @ SV102 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1134]) ).
thf(1223,plain,
! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1135]) ).
thf(1224,plain,
! [SV71: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV137: $i] :
( ( SV4 @ SV137 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1136]) ).
thf(1225,plain,
! [SV71: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1136]) ).
thf(1226,plain,
! [SV6: $i > $i > $o,SV5: $i,SV117: $i,SV4: $i > $i > $o] :
( ( ( ! [SV138: $i] :
( ( SV4 @ SV117 @ SV138 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1137]) ).
thf(1227,plain,
! [SV6: $i > $i > $o,SV5: $i,SV117: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV117 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1137]) ).
thf(1228,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV139: $i] :
( ( ( ~ ~ ! [SY176: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV139 @ SY176 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1138]) ).
thf(1230,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false )
| ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1140]) ).
thf(1231,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK103_SX0 @ SV6 ) @ ( sK124_SY127 @ SV6 ) ) )
= $true )
| ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
= $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1141]) ).
thf(1233,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SY146: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK121_SX0 @ SV4 ) @ SY146 ) )
= $false )
| ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1144]) ).
thf(1235,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ! [SY162: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK126_SX0 @ SV6 ) @ SY162 ) )
= $true )
| ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1146]) ).
thf(1236,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK106_SX0 @ SV4 ) @ ( sK127_SY129 @ SV4 ) ) )
= $true )
| ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1149]) ).
thf(1237,plain,
! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV61 @ SV83 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV6 @ SV61 @ SV83 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1150]) ).
thf(1238,plain,
! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1151]) ).
thf(1239,plain,
! [SV61: $i,SV6: $i > $i > $o,SV5: $i,SV140: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV140 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1152]) ).
thf(1240,plain,
! [SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV141: $i] :
( ( ( ~ ~ ! [SY178: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV141 @ SY178 ) )
= $true )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1153]) ).
thf(1241,plain,
! [SV6: $i > $i > $o,SV5: $i,SV142: $i,SV104: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV104 @ SV142 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1154]) ).
thf(1242,plain,
! [SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV143: $i] :
( ( ( ~ ~ ! [SY179: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV143 @ SY179 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV104 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1155]) ).
thf(1243,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV105: $i] :
( ( ( ! [SY148: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV105 @ SY148 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1156]) ).
thf(1244,plain,
! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
( ( ( ~ ( ( SV6 @ SV73 @ SV106 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV6 @ SV73 @ SV106 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1157]) ).
thf(1245,plain,
! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1158]) ).
thf(1246,plain,
! [SV73: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV144: $i] :
( ( SV4 @ SV144 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1159]) ).
thf(1247,plain,
! [SV73: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1159]) ).
thf(1248,plain,
! [SV6: $i > $i > $o,SV5: $i,SV120: $i,SV4: $i > $i > $o] :
( ( ( ! [SV145: $i] :
( ( SV4 @ SV120 @ SV145 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1160]) ).
thf(1249,plain,
! [SV6: $i > $i > $o,SV5: $i,SV120: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV120 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1160]) ).
thf(1250,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV146: $i] :
( ( ( ~ ~ ! [SY181: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV146 @ SY181 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1161]) ).
thf(1252,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false )
| ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1163]) ).
thf(1253,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK109_SX0 @ SV6 ) @ ( sK129_SY131 @ SV6 ) ) )
= $true )
| ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
= $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1164]) ).
thf(1255,plain,
! [SV4: $i > $i > $o] :
( ( ( ! [SY150: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK122_SX0 @ SV4 ) @ SY150 ) )
= $false )
| ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1167]) ).
thf(1257,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ! [SY166: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK131_SX0 @ SV6 ) @ SY166 ) )
= $true )
| ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1169]) ).
thf(1258,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK112_SX0 @ SV4 ) @ ( sK132_SY133 @ SV4 ) ) )
= $true )
| ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1172]) ).
thf(1259,plain,
! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV63 @ SV86 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV6 @ SV63 @ SV86 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1173]) ).
thf(1260,plain,
! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1174]) ).
thf(1261,plain,
! [SV63: $i,SV6: $i > $i > $o,SV5: $i,SV147: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV147 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1175]) ).
thf(1262,plain,
! [SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV148: $i] :
( ( ( ~ ~ ! [SY183: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV148 @ SY183 ) )
= $true )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1176]) ).
thf(1263,plain,
! [SV6: $i > $i > $o,SV5: $i,SV149: $i,SV108: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV108 @ SV149 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1177]) ).
thf(1264,plain,
! [SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV150: $i] :
( ( ( ~ ~ ! [SY184: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV150 @ SY184 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV108 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1178]) ).
thf(1265,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV109: $i] :
( ( ( ! [SY152: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV109 @ SY152 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1179]) ).
thf(1266,plain,
! [SV4: $i > $i > $o,SV5: $i,SV88: $i,SV64: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV64 @ SV88 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV6 @ SV64 @ SV88 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1180]) ).
thf(1267,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 @ SV88 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1181]) ).
thf(1268,plain,
! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV151: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV151 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1182]) ).
thf(1269,plain,
! [SV6: $i > $i > $o,SV5: $i,SV152: $i,SV110: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV110 @ SV152 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1184]) ).
thf(1270,plain,
! [SV4: $i > $i > $o,SV5: $i,SV90: $i,SV65: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV65 @ SV90 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV6 @ SV65 @ SV90 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1186]) ).
thf(1271,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 @ SV90 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1187]) ).
thf(1272,plain,
! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV153: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV153 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1188]) ).
thf(1273,plain,
! [SV6: $i > $i > $o,SV5: $i,SV154: $i,SV111: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV111 @ SV154 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1190]) ).
thf(1274,plain,
! [SV4: $i > $i > $o,SV5: $i,SV92: $i,SV66: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV66 @ SV92 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV6 @ SV66 @ SV92 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1192]) ).
thf(1275,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 @ SV92 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1193]) ).
thf(1276,plain,
! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV155: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV155 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1194]) ).
thf(1277,plain,
! [SV6: $i > $i > $o,SV5: $i,SV156: $i,SV112: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV112 @ SV156 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1196]) ).
thf(1278,plain,
! [SV4: $i > $i > $o,SV5: $i,SV94: $i,SV67: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV67 @ SV94 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV6 @ SV67 @ SV94 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1198]) ).
thf(1279,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 @ SV94 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1199]) ).
thf(1280,plain,
! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV157: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV157 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1200]) ).
thf(1281,plain,
! [SV6: $i > $i > $o,SV5: $i,SV158: $i,SV113: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV113 @ SV158 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1202]) ).
thf(1282,plain,
! [SV4: $i > $i > $o,SV5: $i,SV96: $i,SV68: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV68 @ SV96 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV6 @ SV68 @ SV96 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1204]) ).
thf(1283,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 @ SV96 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1205]) ).
thf(1284,plain,
! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV159: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV159 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1206]) ).
thf(1285,plain,
! [SV6: $i > $i > $o,SV5: $i,SV160: $i,SV114: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV114 @ SV160 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1208]) ).
thf(1286,plain,
! [SV4: $i > $i > $o,SV5: $i,SV98: $i,SV69: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV69 @ SV98 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV6 @ SV69 @ SV98 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1210]) ).
thf(1287,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 @ SV98 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1211]) ).
thf(1288,plain,
! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV161: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV161 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1212]) ).
thf(1289,plain,
! [SV6: $i > $i > $o,SV5: $i,SV162: $i,SV115: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV115 @ SV162 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1214]) ).
thf(1290,plain,
! [SV4: $i > $i > $o,SV5: $i,SV100: $i,SV70: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV70 @ SV100 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV6 @ SV70 @ SV100 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1216]) ).
thf(1291,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 @ SV100 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1217]) ).
thf(1292,plain,
! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV163: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV163 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1218]) ).
thf(1293,plain,
! [SV6: $i > $i > $o,SV5: $i,SV164: $i,SV116: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV116 @ SV164 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1220]) ).
thf(1294,plain,
! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV71 @ SV102 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV6 @ SV71 @ SV102 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1222]) ).
thf(1295,plain,
! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1223]) ).
thf(1296,plain,
! [SV71: $i,SV6: $i > $i > $o,SV5: $i,SV165: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV165 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1224]) ).
thf(1297,plain,
! [SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1225]) ).
thf(1298,plain,
! [SV6: $i > $i > $o,SV5: $i,SV166: $i,SV117: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV117 @ SV166 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1226]) ).
thf(1299,plain,
! [SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV117 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1227]) ).
thf(1300,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV139: $i] :
( ( ( ~ ! [SY176: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV139 @ SY176 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1228]) ).
thf(1302,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ! [SY193: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK135_SX0 @ SV6 ) @ SY193 ) )
= $false )
| ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1230]) ).
thf(1303,plain,
! [SV6: $i > $i > $o] :
( ( ( parent_THFTYPE_IiioI @ ( sK103_SX0 @ SV6 ) @ ( sK124_SY127 @ SV6 ) )
= $false )
| ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
= $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1231]) ).
thf(1305,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK121_SX0 @ SV4 ) @ ( sK136_SY146 @ SV4 ) ) )
= $false )
| ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1233]) ).
thf(1307,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SY162: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK126_SX0 @ SV6 ) @ SY162 ) )
= $false )
| ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1235]) ).
thf(1308,plain,
! [SV4: $i > $i > $o] :
( ( ( parent_THFTYPE_IiioI @ ( sK106_SX0 @ SV4 ) @ ( sK127_SY129 @ SV4 ) )
= $false )
| ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1236]) ).
thf(1310,plain,
! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV6 @ SV61 @ SV83 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1237]) ).
thf(1311,plain,
! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV167: $i] :
( ( SV4 @ SV167 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1238]) ).
thf(1312,plain,
! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1238]) ).
thf(1313,plain,
! [SV61: $i,SV6: $i > $i > $o,SV5: $i,SV140: $i,SV4: $i > $i > $o] :
( ( ( ! [SV168: $i] :
( ( SV4 @ SV140 @ SV168 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1239]) ).
thf(1314,plain,
! [SV61: $i,SV6: $i > $i > $o,SV5: $i,SV140: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV140 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1239]) ).
thf(1315,plain,
! [SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV141: $i] :
( ( ( ~ ! [SY178: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV141 @ SY178 ) )
= $false )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1240]) ).
thf(1316,plain,
! [SV6: $i > $i > $o,SV5: $i,SV142: $i,SV104: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV104 @ SV142 )
| $true )
| ~ ( ~ ( SV4 @ SV104 @ SV142 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1241]) ).
thf(1317,plain,
! [SV6: $i > $i > $o,SV5: $i,SV142: $i,SV104: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV104 @ SV142 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1241]) ).
thf(1318,plain,
! [SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV143: $i] :
( ( ( ~ ! [SY179: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV143 @ SY179 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV104 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1242]) ).
thf(1319,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV169: $i,SV105: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV105 @ SV169 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1243]) ).
thf(1320,plain,
! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
( ( ( ( SV6 @ SV73 @ SV106 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV6 @ SV73 @ SV106 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1244]) ).
thf(1321,plain,
! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1245]) ).
thf(1322,plain,
! [SV73: $i,SV6: $i > $i > $o,SV5: $i,SV170: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV170 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1246]) ).
thf(1323,plain,
! [SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1247]) ).
thf(1324,plain,
! [SV6: $i > $i > $o,SV5: $i,SV171: $i,SV120: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV120 @ SV171 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1248]) ).
thf(1325,plain,
! [SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV120 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1249]) ).
thf(1326,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV146: $i] :
( ( ( ~ ! [SY181: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV146 @ SY181 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1250]) ).
thf(1328,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ! [SY196: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK137_SX0 @ SV6 ) @ SY196 ) )
= $false )
| ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1252]) ).
thf(1329,plain,
! [SV6: $i > $i > $o] :
( ( ( likes_THFTYPE_IiioI @ ( sK109_SX0 @ SV6 ) @ ( sK129_SY131 @ SV6 ) )
= $false )
| ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
= $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1253]) ).
thf(1331,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK122_SX0 @ SV4 ) @ ( sK138_SY150 @ SV4 ) ) )
= $false )
| ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1255]) ).
thf(1333,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SY166: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK131_SX0 @ SV6 ) @ SY166 ) )
= $false )
| ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1257]) ).
thf(1334,plain,
! [SV4: $i > $i > $o] :
( ( ( likes_THFTYPE_IiioI @ ( sK112_SX0 @ SV4 ) @ ( sK132_SY133 @ SV4 ) )
= $false )
| ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1258]) ).
thf(1336,plain,
! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV6 @ SV63 @ SV86 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1259]) ).
thf(1337,plain,
! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV172: $i] :
( ( SV4 @ SV172 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1260]) ).
thf(1338,plain,
! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1260]) ).
thf(1339,plain,
! [SV63: $i,SV6: $i > $i > $o,SV5: $i,SV147: $i,SV4: $i > $i > $o] :
( ( ( ! [SV173: $i] :
( ( SV4 @ SV147 @ SV173 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1261]) ).
thf(1340,plain,
! [SV63: $i,SV6: $i > $i > $o,SV5: $i,SV147: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV147 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1261]) ).
thf(1341,plain,
! [SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV148: $i] :
( ( ( ~ ! [SY183: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV148 @ SY183 ) )
= $false )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1262]) ).
thf(1342,plain,
! [SV6: $i > $i > $o,SV5: $i,SV149: $i,SV108: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV108 @ SV149 )
| $true )
| ~ ( ~ ( SV4 @ SV108 @ SV149 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1263]) ).
thf(1343,plain,
! [SV6: $i > $i > $o,SV5: $i,SV149: $i,SV108: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV108 @ SV149 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1263]) ).
thf(1344,plain,
! [SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV150: $i] :
( ( ( ~ ! [SY184: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV150 @ SY184 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV108 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1264]) ).
thf(1345,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV174: $i,SV109: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV109 @ SV174 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1265]) ).
thf(1347,plain,
! [SV4: $i > $i > $o,SV5: $i,SV88: $i,SV64: $i,SV6: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV6 @ SV64 @ SV88 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1266]) ).
thf(1348,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV175: $i] :
( ( SV4 @ SV175 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 @ SV88 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1267]) ).
thf(1349,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 @ SV88 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1267]) ).
thf(1350,plain,
! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV151: $i,SV4: $i > $i > $o] :
( ( ( ! [SV176: $i] :
( ( SV4 @ SV151 @ SV176 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1268]) ).
thf(1351,plain,
! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV151: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV151 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1268]) ).
thf(1352,plain,
! [SV6: $i > $i > $o,SV5: $i,SV152: $i,SV110: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV110 @ SV152 )
| $true )
| ~ ( ~ ( SV4 @ SV110 @ SV152 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1269]) ).
thf(1353,plain,
! [SV6: $i > $i > $o,SV5: $i,SV152: $i,SV110: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV110 @ SV152 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1269]) ).
thf(1355,plain,
! [SV4: $i > $i > $o,SV5: $i,SV90: $i,SV65: $i,SV6: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV6 @ SV65 @ SV90 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1270]) ).
thf(1356,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV177: $i] :
( ( SV4 @ SV177 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 @ SV90 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1271]) ).
thf(1357,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 @ SV90 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1271]) ).
thf(1358,plain,
! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV153: $i,SV4: $i > $i > $o] :
( ( ( ! [SV178: $i] :
( ( SV4 @ SV153 @ SV178 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1272]) ).
thf(1359,plain,
! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV153: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV153 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1272]) ).
thf(1360,plain,
! [SV6: $i > $i > $o,SV5: $i,SV154: $i,SV111: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV111 @ SV154 )
| $true )
| ~ ( ~ ( SV4 @ SV111 @ SV154 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1273]) ).
thf(1361,plain,
! [SV6: $i > $i > $o,SV5: $i,SV154: $i,SV111: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV111 @ SV154 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1273]) ).
thf(1363,plain,
! [SV4: $i > $i > $o,SV5: $i,SV92: $i,SV66: $i,SV6: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV6 @ SV66 @ SV92 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1274]) ).
thf(1364,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV179: $i] :
( ( SV4 @ SV179 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 @ SV92 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1275]) ).
thf(1365,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 @ SV92 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1275]) ).
thf(1366,plain,
! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV155: $i,SV4: $i > $i > $o] :
( ( ( ! [SV180: $i] :
( ( SV4 @ SV155 @ SV180 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1276]) ).
thf(1367,plain,
! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV155: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV155 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1276]) ).
thf(1368,plain,
! [SV6: $i > $i > $o,SV5: $i,SV156: $i,SV112: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV112 @ SV156 )
| $true )
| ~ ( ~ ( SV4 @ SV112 @ SV156 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1277]) ).
thf(1369,plain,
! [SV6: $i > $i > $o,SV5: $i,SV156: $i,SV112: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV112 @ SV156 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1277]) ).
thf(1371,plain,
! [SV4: $i > $i > $o,SV5: $i,SV94: $i,SV67: $i,SV6: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV6 @ SV67 @ SV94 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1278]) ).
thf(1372,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV181: $i] :
( ( SV4 @ SV181 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 @ SV94 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1279]) ).
thf(1373,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 @ SV94 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1279]) ).
thf(1374,plain,
! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV157: $i,SV4: $i > $i > $o] :
( ( ( ! [SV182: $i] :
( ( SV4 @ SV157 @ SV182 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1280]) ).
thf(1375,plain,
! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV157: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV157 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1280]) ).
thf(1376,plain,
! [SV6: $i > $i > $o,SV5: $i,SV158: $i,SV113: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV113 @ SV158 )
| $true )
| ~ ( ~ ( SV4 @ SV113 @ SV158 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1281]) ).
thf(1377,plain,
! [SV6: $i > $i > $o,SV5: $i,SV158: $i,SV113: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV113 @ SV158 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1281]) ).
thf(1379,plain,
! [SV4: $i > $i > $o,SV5: $i,SV96: $i,SV68: $i,SV6: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV6 @ SV68 @ SV96 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1282]) ).
thf(1380,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV183: $i] :
( ( SV4 @ SV183 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 @ SV96 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1283]) ).
thf(1381,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 @ SV96 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1283]) ).
thf(1382,plain,
! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV159: $i,SV4: $i > $i > $o] :
( ( ( ! [SV184: $i] :
( ( SV4 @ SV159 @ SV184 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1284]) ).
thf(1383,plain,
! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV159: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV159 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1284]) ).
thf(1384,plain,
! [SV6: $i > $i > $o,SV5: $i,SV160: $i,SV114: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV114 @ SV160 )
| $true )
| ~ ( ~ ( SV4 @ SV114 @ SV160 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1285]) ).
thf(1385,plain,
! [SV6: $i > $i > $o,SV5: $i,SV160: $i,SV114: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV114 @ SV160 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1285]) ).
thf(1387,plain,
! [SV4: $i > $i > $o,SV5: $i,SV98: $i,SV69: $i,SV6: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV6 @ SV69 @ SV98 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1286]) ).
thf(1388,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV185: $i] :
( ( SV4 @ SV185 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 @ SV98 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1287]) ).
thf(1389,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 @ SV98 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1287]) ).
thf(1390,plain,
! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV161: $i,SV4: $i > $i > $o] :
( ( ( ! [SV186: $i] :
( ( SV4 @ SV161 @ SV186 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1288]) ).
thf(1391,plain,
! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV161: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV161 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1288]) ).
thf(1392,plain,
! [SV6: $i > $i > $o,SV5: $i,SV162: $i,SV115: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV115 @ SV162 )
| $true )
| ~ ( ~ ( SV4 @ SV115 @ SV162 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1289]) ).
thf(1393,plain,
! [SV6: $i > $i > $o,SV5: $i,SV162: $i,SV115: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV115 @ SV162 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1289]) ).
thf(1395,plain,
! [SV4: $i > $i > $o,SV5: $i,SV100: $i,SV70: $i,SV6: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV6 @ SV70 @ SV100 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1290]) ).
thf(1396,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV187: $i] :
( ( SV4 @ SV187 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 @ SV100 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1291]) ).
thf(1397,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 @ SV100 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1291]) ).
thf(1398,plain,
! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV163: $i,SV4: $i > $i > $o] :
( ( ( ! [SV188: $i] :
( ( SV4 @ SV163 @ SV188 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1292]) ).
thf(1399,plain,
! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV163: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV163 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1292]) ).
thf(1400,plain,
! [SV6: $i > $i > $o,SV5: $i,SV164: $i,SV116: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV116 @ SV164 )
| $true )
| ~ ( ~ ( SV4 @ SV116 @ SV164 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1293]) ).
thf(1401,plain,
! [SV6: $i > $i > $o,SV5: $i,SV164: $i,SV116: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV116 @ SV164 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1293]) ).
thf(1403,plain,
! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV6 @ SV71 @ SV102 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1294]) ).
thf(1404,plain,
! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV189: $i] :
( ( SV4 @ SV189 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1295]) ).
thf(1405,plain,
! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1295]) ).
thf(1406,plain,
! [SV71: $i,SV6: $i > $i > $o,SV5: $i,SV165: $i,SV4: $i > $i > $o] :
( ( ( ! [SV190: $i] :
( ( SV4 @ SV165 @ SV190 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1296]) ).
thf(1407,plain,
! [SV71: $i,SV6: $i > $i > $o,SV5: $i,SV165: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV165 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1296]) ).
thf(1408,plain,
! [SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV191: $i] :
( ( ( ~ ~ ! [SY206: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV191 @ SY206 ) )
= $true )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1297]) ).
thf(1409,plain,
! [SV6: $i > $i > $o,SV5: $i,SV166: $i,SV117: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV117 @ SV166 )
| $true )
| ~ ( ~ ( SV4 @ SV117 @ SV166 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1298]) ).
thf(1410,plain,
! [SV6: $i > $i > $o,SV5: $i,SV166: $i,SV117: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV117 @ SV166 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1298]) ).
thf(1411,plain,
! [SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV192: $i] :
( ( ( ~ ~ ! [SY207: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV192 @ SY207 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV117 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1299]) ).
thf(1412,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV139: $i] :
( ( ( ! [SY176: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV139 @ SY176 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1300]) ).
thf(1414,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ! [SY193: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK135_SX0 @ SV6 ) @ SY193 ) )
= $true )
| ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1302]) ).
thf(1415,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK121_SX0 @ SV4 ) @ ( sK136_SY146 @ SV4 ) ) )
= $true )
| ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1305]) ).
thf(1417,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK126_SX0 @ SV6 ) @ ( sK140_SY162 @ SV6 ) ) )
= $false )
| ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1307]) ).
thf(1419,plain,
! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV61 @ SV83 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1310]) ).
thf(1420,plain,
! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV193: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV193 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1311]) ).
thf(1421,plain,
! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV194: $i] :
( ( ( ~ ~ ! [SY209: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV194 @ SY209 ) )
= $true )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1312]) ).
thf(1422,plain,
! [SV61: $i,SV6: $i > $i > $o,SV5: $i,SV195: $i,SV140: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV140 @ SV195 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1313]) ).
thf(1423,plain,
! [SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV196: $i] :
( ( ( ~ ~ ! [SY210: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV196 @ SY210 ) )
= $true )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV140 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1314]) ).
thf(1424,plain,
! [SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV141: $i] :
( ( ( ! [SY178: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV141 @ SY178 ) )
= $true )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1315]) ).
thf(1425,plain,
! [SV6: $i > $i > $o,SV5: $i,SV142: $i,SV104: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV104 @ SV142 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV104 @ SV142 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1316]) ).
thf(1426,plain,
! [SV142: $i,SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV197: $i] :
( ( ( ~ ~ ! [SY211: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV197 @ SY211 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV104 @ SV142 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1317]) ).
thf(1427,plain,
! [SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV143: $i] :
( ( ( ! [SY179: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV143 @ SY179 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV104 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1318]) ).
thf(1428,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV169: $i,SV105: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV105 @ SV169 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1319]) ).
thf(1430,plain,
! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV6 @ SV73 @ SV106 )
| ~ $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1320]) ).
thf(1431,plain,
! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV198: $i] :
( ( SV4 @ SV198 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1321]) ).
thf(1432,plain,
! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1321]) ).
thf(1433,plain,
! [SV73: $i,SV6: $i > $i > $o,SV5: $i,SV170: $i,SV4: $i > $i > $o] :
( ( ( ! [SV199: $i] :
( ( SV4 @ SV170 @ SV199 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1322]) ).
thf(1434,plain,
! [SV73: $i,SV6: $i > $i > $o,SV5: $i,SV170: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV170 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1322]) ).
thf(1435,plain,
! [SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV200: $i] :
( ( ( ~ ~ ! [SY213: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV200 @ SY213 ) )
= $true )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1323]) ).
thf(1436,plain,
! [SV6: $i > $i > $o,SV5: $i,SV171: $i,SV120: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV120 @ SV171 )
| $true )
| ~ ( ~ ( SV4 @ SV120 @ SV171 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1324]) ).
thf(1437,plain,
! [SV6: $i > $i > $o,SV5: $i,SV171: $i,SV120: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV120 @ SV171 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1324]) ).
thf(1438,plain,
! [SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV201: $i] :
( ( ( ~ ~ ! [SY214: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV201 @ SY214 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV120 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1325]) ).
thf(1439,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV146: $i] :
( ( ( ! [SY181: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV146 @ SY181 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1326]) ).
thf(1441,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ! [SY196: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK137_SX0 @ SV6 ) @ SY196 ) )
= $true )
| ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1328]) ).
thf(1442,plain,
! [SV4: $i > $i > $o] :
( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK122_SX0 @ SV4 ) @ ( sK138_SY150 @ SV4 ) ) )
= $true )
| ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1331]) ).
thf(1444,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK131_SX0 @ SV6 ) @ ( sK142_SY166 @ SV6 ) ) )
= $false )
| ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1333]) ).
thf(1446,plain,
! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV63 @ SV86 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1336]) ).
thf(1447,plain,
! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV202: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV202 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1337]) ).
thf(1448,plain,
! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV203: $i] :
( ( ( ~ ~ ! [SY216: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV203 @ SY216 ) )
= $true )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1338]) ).
thf(1449,plain,
! [SV63: $i,SV6: $i > $i > $o,SV5: $i,SV204: $i,SV147: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV147 @ SV204 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1339]) ).
thf(1450,plain,
! [SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV205: $i] :
( ( ( ~ ~ ! [SY217: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV205 @ SY217 ) )
= $true )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV147 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1340]) ).
thf(1451,plain,
! [SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV148: $i] :
( ( ( ! [SY183: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV148 @ SY183 ) )
= $true )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1341]) ).
thf(1452,plain,
! [SV6: $i > $i > $o,SV5: $i,SV149: $i,SV108: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV108 @ SV149 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV108 @ SV149 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1342]) ).
thf(1453,plain,
! [SV149: $i,SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV206: $i] :
( ( ( ~ ~ ! [SY218: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV206 @ SY218 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV108 @ SV149 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1343]) ).
thf(1454,plain,
! [SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV150: $i] :
( ( ( ! [SY184: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV150 @ SY184 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV108 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1344]) ).
thf(1455,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV174: $i,SV109: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ SV109 @ SV174 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1345]) ).
thf(1457,plain,
! [SV4: $i > $i > $o,SV5: $i,SV88: $i,SV64: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV64 @ SV88 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1347]) ).
thf(1458,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV207: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV207 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 @ SV88 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1348]) ).
thf(1459,plain,
! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV208: $i,SV151: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV151 @ SV208 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1350]) ).
thf(1460,plain,
! [SV6: $i > $i > $o,SV5: $i,SV152: $i,SV110: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV110 @ SV152 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV110 @ SV152 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1352]) ).
thf(1462,plain,
! [SV4: $i > $i > $o,SV5: $i,SV90: $i,SV65: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV65 @ SV90 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1355]) ).
thf(1463,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV209: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV209 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 @ SV90 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1356]) ).
thf(1464,plain,
! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV210: $i,SV153: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV153 @ SV210 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1358]) ).
thf(1465,plain,
! [SV6: $i > $i > $o,SV5: $i,SV154: $i,SV111: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV111 @ SV154 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV111 @ SV154 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1360]) ).
thf(1467,plain,
! [SV4: $i > $i > $o,SV5: $i,SV92: $i,SV66: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV66 @ SV92 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1363]) ).
thf(1468,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV211: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV211 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 @ SV92 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1364]) ).
thf(1469,plain,
! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV212: $i,SV155: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV155 @ SV212 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1366]) ).
thf(1470,plain,
! [SV6: $i > $i > $o,SV5: $i,SV156: $i,SV112: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV112 @ SV156 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV112 @ SV156 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1368]) ).
thf(1472,plain,
! [SV4: $i > $i > $o,SV5: $i,SV94: $i,SV67: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV67 @ SV94 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1371]) ).
thf(1473,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV213: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV213 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 @ SV94 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1372]) ).
thf(1474,plain,
! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV214: $i,SV157: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV157 @ SV214 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1374]) ).
thf(1475,plain,
! [SV6: $i > $i > $o,SV5: $i,SV158: $i,SV113: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV113 @ SV158 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV113 @ SV158 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1376]) ).
thf(1477,plain,
! [SV4: $i > $i > $o,SV5: $i,SV96: $i,SV68: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV68 @ SV96 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1379]) ).
thf(1478,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV215: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV215 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 @ SV96 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1380]) ).
thf(1479,plain,
! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV216: $i,SV159: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV159 @ SV216 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1382]) ).
thf(1480,plain,
! [SV6: $i > $i > $o,SV5: $i,SV160: $i,SV114: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV114 @ SV160 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV114 @ SV160 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1384]) ).
thf(1482,plain,
! [SV4: $i > $i > $o,SV5: $i,SV98: $i,SV69: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV69 @ SV98 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1387]) ).
thf(1483,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV217: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV217 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 @ SV98 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1388]) ).
thf(1484,plain,
! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV218: $i,SV161: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV161 @ SV218 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1390]) ).
thf(1485,plain,
! [SV6: $i > $i > $o,SV5: $i,SV162: $i,SV115: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV115 @ SV162 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV115 @ SV162 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1392]) ).
thf(1487,plain,
! [SV4: $i > $i > $o,SV5: $i,SV100: $i,SV70: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV70 @ SV100 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1395]) ).
thf(1488,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV219: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV219 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 @ SV100 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1396]) ).
thf(1489,plain,
! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV220: $i,SV163: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV163 @ SV220 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1398]) ).
thf(1490,plain,
! [SV6: $i > $i > $o,SV5: $i,SV164: $i,SV116: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV116 @ SV164 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV116 @ SV164 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1400]) ).
thf(1492,plain,
! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV71 @ SV102 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1403]) ).
thf(1493,plain,
! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV221: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV221 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1404]) ).
thf(1494,plain,
! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1405]) ).
thf(1495,plain,
! [SV71: $i,SV6: $i > $i > $o,SV5: $i,SV222: $i,SV165: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV165 @ SV222 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1406]) ).
thf(1496,plain,
! [SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV165 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1407]) ).
thf(1497,plain,
! [SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV191: $i] :
( ( ( ~ ! [SY206: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV191 @ SY206 ) )
= $false )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1408]) ).
thf(1498,plain,
! [SV6: $i > $i > $o,SV5: $i,SV166: $i,SV117: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV117 @ SV166 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV117 @ SV166 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1409]) ).
thf(1499,plain,
! [SV166: $i,SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV117 @ SV166 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1410]) ).
thf(1500,plain,
! [SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV192: $i] :
( ( ( ~ ! [SY207: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV192 @ SY207 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV117 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1411]) ).
thf(1501,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV223: $i,SV139: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV139 @ SV223 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1412]) ).
thf(1503,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SY193: $i] :
~ ~ ( parent_THFTYPE_IiioI @ ( sK135_SX0 @ SV6 ) @ SY193 ) )
= $false )
| ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1414]) ).
thf(1504,plain,
! [SV4: $i > $i > $o] :
( ( ( parent_THFTYPE_IiioI @ ( sK121_SX0 @ SV4 ) @ ( sK136_SY146 @ SV4 ) )
= $false )
| ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1415]) ).
thf(1505,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK126_SX0 @ SV6 ) @ ( sK140_SY162 @ SV6 ) ) )
= $true )
| ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1417]) ).
thf(1508,plain,
! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV61 @ SV83 ) )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1419]) ).
thf(1510,plain,
! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV193: $i,SV4: $i > $i > $o] :
( ( ( ! [SV224: $i] :
( ( SV4 @ SV193 @ SV224 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1420]) ).
thf(1511,plain,
! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV193: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV193 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1420]) ).
thf(1512,plain,
! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV194: $i] :
( ( ( ~ ! [SY209: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV194 @ SY209 ) )
= $false )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1421]) ).
thf(1513,plain,
! [SV61: $i,SV6: $i > $i > $o,SV5: $i,SV195: $i,SV140: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV140 @ SV195 )
| $true )
| ~ ( ~ ( SV4 @ SV140 @ SV195 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1422]) ).
thf(1514,plain,
! [SV61: $i,SV6: $i > $i > $o,SV5: $i,SV195: $i,SV140: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV140 @ SV195 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1422]) ).
thf(1515,plain,
! [SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV196: $i] :
( ( ( ~ ! [SY210: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV196 @ SY210 ) )
= $false )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV140 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1423]) ).
thf(1516,plain,
! [SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV225: $i,SV141: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV141 @ SV225 ) )
= $true )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1424]) ).
thf(1517,plain,
! [SV6: $i > $i > $o,SV5: $i,SV142: $i,SV104: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV104 @ SV142 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV104 @ SV142 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1425]) ).
thf(1518,plain,
! [SV142: $i,SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV197: $i] :
( ( ( ~ ! [SY211: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV197 @ SY211 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV104 @ SV142 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1426]) ).
thf(1519,plain,
! [SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV226: $i,SV143: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV143 @ SV226 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV104 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1427]) ).
thf(1520,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV169: $i,SV105: $i] :
( ( ( parent_THFTYPE_IiioI @ SV105 @ SV169 )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1428]) ).
thf(1522,plain,
! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV73 @ SV106 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1430]) ).
thf(1523,plain,
! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV227: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV227 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1431]) ).
thf(1524,plain,
! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1432]) ).
thf(1525,plain,
! [SV73: $i,SV6: $i > $i > $o,SV5: $i,SV228: $i,SV170: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV170 @ SV228 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1433]) ).
thf(1526,plain,
! [SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV170 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1434]) ).
thf(1527,plain,
! [SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV200: $i] :
( ( ( ~ ! [SY213: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV200 @ SY213 ) )
= $false )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1435]) ).
thf(1528,plain,
! [SV6: $i > $i > $o,SV5: $i,SV171: $i,SV120: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV120 @ SV171 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV120 @ SV171 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1436]) ).
thf(1529,plain,
! [SV171: $i,SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV120 @ SV171 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1437]) ).
thf(1530,plain,
! [SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV201: $i] :
( ( ( ~ ! [SY214: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV201 @ SY214 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV120 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1438]) ).
thf(1531,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV229: $i,SV146: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV146 @ SV229 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1439]) ).
thf(1533,plain,
! [SV6: $i > $i > $o] :
( ( ( ! [SY196: $i] :
~ ~ ( likes_THFTYPE_IiioI @ ( sK137_SX0 @ SV6 ) @ SY196 ) )
= $false )
| ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1441]) ).
thf(1534,plain,
! [SV4: $i > $i > $o] :
( ( ( likes_THFTYPE_IiioI @ ( sK122_SX0 @ SV4 ) @ ( sK138_SY150 @ SV4 ) )
= $false )
| ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1442]) ).
thf(1535,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK131_SX0 @ SV6 ) @ ( sK142_SY166 @ SV6 ) ) )
= $true )
| ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1444]) ).
thf(1538,plain,
! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV63 @ SV86 ) )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1446]) ).
thf(1540,plain,
! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV202: $i,SV4: $i > $i > $o] :
( ( ( ! [SV230: $i] :
( ( SV4 @ SV202 @ SV230 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1447]) ).
thf(1541,plain,
! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV202: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV202 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1447]) ).
thf(1542,plain,
! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV203: $i] :
( ( ( ~ ! [SY216: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV203 @ SY216 ) )
= $false )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1448]) ).
thf(1543,plain,
! [SV63: $i,SV6: $i > $i > $o,SV5: $i,SV204: $i,SV147: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV147 @ SV204 )
| $true )
| ~ ( ~ ( SV4 @ SV147 @ SV204 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1449]) ).
thf(1544,plain,
! [SV63: $i,SV6: $i > $i > $o,SV5: $i,SV204: $i,SV147: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV147 @ SV204 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1449]) ).
thf(1545,plain,
! [SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV205: $i] :
( ( ( ~ ! [SY217: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV205 @ SY217 ) )
= $false )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV147 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1450]) ).
thf(1546,plain,
! [SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV231: $i,SV148: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV148 @ SV231 ) )
= $true )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1451]) ).
thf(1547,plain,
! [SV6: $i > $i > $o,SV5: $i,SV149: $i,SV108: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV108 @ SV149 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV108 @ SV149 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1452]) ).
thf(1548,plain,
! [SV149: $i,SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV206: $i] :
( ( ( ~ ! [SY218: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV206 @ SY218 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV108 @ SV149 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1453]) ).
thf(1549,plain,
! [SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV232: $i,SV150: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV150 @ SV232 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV108 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1454]) ).
thf(1550,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV174: $i,SV109: $i] :
( ( ( likes_THFTYPE_IiioI @ SV109 @ SV174 )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1455]) ).
thf(1553,plain,
! [SV4: $i > $i > $o,SV5: $i,SV88: $i,SV64: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV64 @ SV88 ) )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1457]) ).
thf(1555,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV207: $i,SV4: $i > $i > $o] :
( ( ( ! [SV233: $i] :
( ( SV4 @ SV207 @ SV233 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 @ SV88 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1458]) ).
thf(1556,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV207: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV207 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 @ SV88 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1458]) ).
thf(1557,plain,
! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV208: $i,SV151: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV151 @ SV208 )
| $true )
| ~ ( ~ ( SV4 @ SV151 @ SV208 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1459]) ).
thf(1558,plain,
! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV208: $i,SV151: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV151 @ SV208 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1459]) ).
thf(1559,plain,
! [SV6: $i > $i > $o,SV5: $i,SV152: $i,SV110: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV110 @ SV152 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV110 @ SV152 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1460]) ).
thf(1562,plain,
! [SV4: $i > $i > $o,SV5: $i,SV90: $i,SV65: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV65 @ SV90 ) )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1462]) ).
thf(1564,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV209: $i,SV4: $i > $i > $o] :
( ( ( ! [SV234: $i] :
( ( SV4 @ SV209 @ SV234 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 @ SV90 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1463]) ).
thf(1565,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV209: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV209 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 @ SV90 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1463]) ).
thf(1566,plain,
! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV210: $i,SV153: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV153 @ SV210 )
| $true )
| ~ ( ~ ( SV4 @ SV153 @ SV210 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1464]) ).
thf(1567,plain,
! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV210: $i,SV153: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV153 @ SV210 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1464]) ).
thf(1568,plain,
! [SV6: $i > $i > $o,SV5: $i,SV154: $i,SV111: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV111 @ SV154 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV111 @ SV154 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1465]) ).
thf(1571,plain,
! [SV4: $i > $i > $o,SV5: $i,SV92: $i,SV66: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV66 @ SV92 ) )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1467]) ).
thf(1573,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV211: $i,SV4: $i > $i > $o] :
( ( ( ! [SV235: $i] :
( ( SV4 @ SV211 @ SV235 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 @ SV92 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1468]) ).
thf(1574,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV211: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV211 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 @ SV92 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1468]) ).
thf(1575,plain,
! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV212: $i,SV155: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV155 @ SV212 )
| $true )
| ~ ( ~ ( SV4 @ SV155 @ SV212 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1469]) ).
thf(1576,plain,
! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV212: $i,SV155: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV155 @ SV212 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1469]) ).
thf(1577,plain,
! [SV6: $i > $i > $o,SV5: $i,SV156: $i,SV112: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV112 @ SV156 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV112 @ SV156 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1470]) ).
thf(1580,plain,
! [SV4: $i > $i > $o,SV5: $i,SV94: $i,SV67: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV67 @ SV94 ) )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1472]) ).
thf(1582,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV213: $i,SV4: $i > $i > $o] :
( ( ( ! [SV236: $i] :
( ( SV4 @ SV213 @ SV236 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 @ SV94 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1473]) ).
thf(1583,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV213: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV213 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 @ SV94 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1473]) ).
thf(1584,plain,
! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV214: $i,SV157: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV157 @ SV214 )
| $true )
| ~ ( ~ ( SV4 @ SV157 @ SV214 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1474]) ).
thf(1585,plain,
! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV214: $i,SV157: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV157 @ SV214 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1474]) ).
thf(1586,plain,
! [SV6: $i > $i > $o,SV5: $i,SV158: $i,SV113: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV113 @ SV158 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV113 @ SV158 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1475]) ).
thf(1589,plain,
! [SV4: $i > $i > $o,SV5: $i,SV96: $i,SV68: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV68 @ SV96 ) )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1477]) ).
thf(1591,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV215: $i,SV4: $i > $i > $o] :
( ( ( ! [SV237: $i] :
( ( SV4 @ SV215 @ SV237 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 @ SV96 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1478]) ).
thf(1592,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV215: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV215 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 @ SV96 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1478]) ).
thf(1593,plain,
! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV216: $i,SV159: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV159 @ SV216 )
| $true )
| ~ ( ~ ( SV4 @ SV159 @ SV216 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1479]) ).
thf(1594,plain,
! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV216: $i,SV159: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV159 @ SV216 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1479]) ).
thf(1595,plain,
! [SV6: $i > $i > $o,SV5: $i,SV160: $i,SV114: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV114 @ SV160 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV114 @ SV160 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1480]) ).
thf(1598,plain,
! [SV4: $i > $i > $o,SV5: $i,SV98: $i,SV69: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV69 @ SV98 ) )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1482]) ).
thf(1600,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV217: $i,SV4: $i > $i > $o] :
( ( ( ! [SV238: $i] :
( ( SV4 @ SV217 @ SV238 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 @ SV98 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1483]) ).
thf(1601,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV217: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV217 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 @ SV98 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1483]) ).
thf(1602,plain,
! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV218: $i,SV161: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV161 @ SV218 )
| $true )
| ~ ( ~ ( SV4 @ SV161 @ SV218 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1484]) ).
thf(1603,plain,
! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV218: $i,SV161: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV161 @ SV218 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1484]) ).
thf(1604,plain,
! [SV6: $i > $i > $o,SV5: $i,SV162: $i,SV115: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV115 @ SV162 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV115 @ SV162 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1485]) ).
thf(1607,plain,
! [SV4: $i > $i > $o,SV5: $i,SV100: $i,SV70: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV70 @ SV100 ) )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1487]) ).
thf(1609,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV219: $i,SV4: $i > $i > $o] :
( ( ( ! [SV239: $i] :
( ( SV4 @ SV219 @ SV239 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 @ SV100 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1488]) ).
thf(1610,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV219: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV219 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 @ SV100 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1488]) ).
thf(1611,plain,
! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV220: $i,SV163: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV163 @ SV220 )
| $true )
| ~ ( ~ ( SV4 @ SV163 @ SV220 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1489]) ).
thf(1612,plain,
! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV220: $i,SV163: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV163 @ SV220 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1489]) ).
thf(1613,plain,
! [SV6: $i > $i > $o,SV5: $i,SV164: $i,SV116: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV116 @ SV164 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV116 @ SV164 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1490]) ).
thf(1616,plain,
! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV71 @ SV102 ) )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1492]) ).
thf(1618,plain,
! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV221: $i,SV4: $i > $i > $o] :
( ( ( ! [SV240: $i] :
( ( SV4 @ SV221 @ SV240 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1493]) ).
thf(1619,plain,
! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV221: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV221 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1493]) ).
thf(1620,plain,
! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV241: $i] :
( ( ( ~ ~ ! [SY228: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV241 @ SY228 ) )
= $true )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1494]) ).
thf(1621,plain,
! [SV71: $i,SV6: $i > $i > $o,SV5: $i,SV222: $i,SV165: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV165 @ SV222 )
| $true )
| ~ ( ~ ( SV4 @ SV165 @ SV222 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1495]) ).
thf(1622,plain,
! [SV71: $i,SV6: $i > $i > $o,SV5: $i,SV222: $i,SV165: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV165 @ SV222 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1495]) ).
thf(1623,plain,
! [SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV242: $i] :
( ( ( ~ ~ ! [SY229: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV242 @ SY229 ) )
= $true )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV165 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1496]) ).
thf(1624,plain,
! [SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV191: $i] :
( ( ( ! [SY206: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV191 @ SY206 ) )
= $true )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1497]) ).
thf(1625,plain,
! [SV6: $i > $i > $o,SV5: $i,SV166: $i,SV117: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV117 @ SV166 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV117 @ SV166 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1498]) ).
thf(1626,plain,
! [SV166: $i,SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV243: $i] :
( ( ( ~ ~ ! [SY230: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV243 @ SY230 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV117 @ SV166 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1499]) ).
thf(1627,plain,
! [SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV192: $i] :
( ( ( ! [SY207: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV192 @ SY207 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV117 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1500]) ).
thf(1628,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV223: $i,SV139: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV139 @ SV223 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1501]) ).
thf(1630,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK135_SX0 @ SV6 ) @ ( sK143_SY193 @ SV6 ) ) )
= $false )
| ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1503]) ).
thf(1631,plain,
! [SV6: $i > $i > $o] :
( ( ( parent_THFTYPE_IiioI @ ( sK126_SX0 @ SV6 ) @ ( sK140_SY162 @ SV6 ) )
= $false )
| ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1505]) ).
thf(1634,plain,
! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1508]) ).
thf(1636,plain,
! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV244: $i,SV193: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV193 @ SV244 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1510]) ).
thf(1637,plain,
! [SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV245: $i] :
( ( ( ~ ~ ! [SY231: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV245 @ SY231 ) )
= $true )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV193 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1511]) ).
thf(1638,plain,
! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV194: $i] :
( ( ( ! [SY209: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV194 @ SY209 ) )
= $true )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1512]) ).
thf(1639,plain,
! [SV61: $i,SV6: $i > $i > $o,SV5: $i,SV195: $i,SV140: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV140 @ SV195 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV140 @ SV195 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1513]) ).
thf(1640,plain,
! [SV195: $i,SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV246: $i] :
( ( ( ~ ~ ! [SY232: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV246 @ SY232 ) )
= $true )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV140 @ SV195 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1514]) ).
thf(1641,plain,
! [SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV196: $i] :
( ( ( ! [SY210: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV196 @ SY210 ) )
= $true )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV140 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1515]) ).
thf(1642,plain,
! [SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV225: $i,SV141: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV141 @ SV225 ) )
= $false )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1516]) ).
thf(1644,plain,
! [SV6: $i > $i > $o,SV5: $i,SV142: $i,SV104: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV104 @ SV142 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1517]) ).
thf(1645,plain,
! [SV142: $i,SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV197: $i] :
( ( ( ! [SY211: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV197 @ SY211 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV104 @ SV142 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1518]) ).
thf(1646,plain,
! [SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV226: $i,SV143: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV143 @ SV226 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV104 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1519]) ).
thf(1649,plain,
! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6 @ SV73 @ SV106 ) )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1522]) ).
thf(1651,plain,
! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV227: $i,SV4: $i > $i > $o] :
( ( ( ! [SV247: $i] :
( ( SV4 @ SV227 @ SV247 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1523]) ).
thf(1652,plain,
! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV227: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV227 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1523]) ).
thf(1653,plain,
! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV248: $i] :
( ( ( ~ ~ ! [SY233: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV248 @ SY233 ) )
= $true )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1524]) ).
thf(1654,plain,
! [SV73: $i,SV6: $i > $i > $o,SV5: $i,SV228: $i,SV170: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV170 @ SV228 )
| $true )
| ~ ( ~ ( SV4 @ SV170 @ SV228 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1525]) ).
thf(1655,plain,
! [SV73: $i,SV6: $i > $i > $o,SV5: $i,SV228: $i,SV170: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV170 @ SV228 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1525]) ).
thf(1656,plain,
! [SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV249: $i] :
( ( ( ~ ~ ! [SY234: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV249 @ SY234 ) )
= $true )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV170 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1526]) ).
thf(1657,plain,
! [SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV200: $i] :
( ( ( ! [SY213: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV200 @ SY213 ) )
= $true )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1527]) ).
thf(1658,plain,
! [SV6: $i > $i > $o,SV5: $i,SV171: $i,SV120: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV120 @ SV171 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV120 @ SV171 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1528]) ).
thf(1659,plain,
! [SV171: $i,SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV250: $i] :
( ( ( ~ ~ ! [SY235: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV250 @ SY235 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV120 @ SV171 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1529]) ).
thf(1660,plain,
! [SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV201: $i] :
( ( ( ! [SY214: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV201 @ SY214 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV120 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1530]) ).
thf(1661,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV229: $i,SV146: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ SV146 @ SV229 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1531]) ).
thf(1663,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK137_SX0 @ SV6 ) @ ( sK144_SY196 @ SV6 ) ) )
= $false )
| ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1533]) ).
thf(1664,plain,
! [SV6: $i > $i > $o] :
( ( ( likes_THFTYPE_IiioI @ ( sK131_SX0 @ SV6 ) @ ( sK142_SY166 @ SV6 ) )
= $false )
| ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1535]) ).
thf(1667,plain,
! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1538]) ).
thf(1669,plain,
! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV251: $i,SV202: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV202 @ SV251 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1540]) ).
thf(1670,plain,
! [SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV252: $i] :
( ( ( ~ ~ ! [SY236: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV252 @ SY236 ) )
= $true )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV202 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1541]) ).
thf(1671,plain,
! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV203: $i] :
( ( ( ! [SY216: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV203 @ SY216 ) )
= $true )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1542]) ).
thf(1672,plain,
! [SV63: $i,SV6: $i > $i > $o,SV5: $i,SV204: $i,SV147: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV147 @ SV204 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV147 @ SV204 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1543]) ).
thf(1673,plain,
! [SV204: $i,SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV253: $i] :
( ( ( ~ ~ ! [SY237: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV253 @ SY237 ) )
= $true )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV147 @ SV204 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1544]) ).
thf(1674,plain,
! [SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV205: $i] :
( ( ( ! [SY217: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV205 @ SY217 ) )
= $true )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV147 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1545]) ).
thf(1675,plain,
! [SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV231: $i,SV148: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ SV148 @ SV231 ) )
= $false )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1546]) ).
thf(1677,plain,
! [SV6: $i > $i > $o,SV5: $i,SV149: $i,SV108: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV108 @ SV149 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1547]) ).
thf(1678,plain,
! [SV149: $i,SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV206: $i] :
( ( ( ! [SY218: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV206 @ SY218 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV108 @ SV149 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1548]) ).
thf(1679,plain,
! [SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV232: $i,SV150: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ SV150 @ SV232 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV108 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1549]) ).
thf(1682,plain,
! [SV4: $i > $i > $o,SV5: $i,SV88: $i,SV64: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV64 @ SV88 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1553]) ).
thf(1684,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV254: $i,SV207: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV207 @ SV254 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 @ SV88 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1555]) ).
thf(1685,plain,
! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV208: $i,SV151: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV151 @ SV208 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV151 @ SV208 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1557]) ).
thf(1687,plain,
! [SV6: $i > $i > $o,SV5: $i,SV152: $i,SV110: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV110 @ SV152 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1559]) ).
thf(1690,plain,
! [SV4: $i > $i > $o,SV5: $i,SV90: $i,SV65: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV65 @ SV90 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1562]) ).
thf(1692,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV255: $i,SV209: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV209 @ SV255 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 @ SV90 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1564]) ).
thf(1693,plain,
! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV210: $i,SV153: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV153 @ SV210 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV153 @ SV210 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1566]) ).
thf(1695,plain,
! [SV6: $i > $i > $o,SV5: $i,SV154: $i,SV111: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV111 @ SV154 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1568]) ).
thf(1698,plain,
! [SV4: $i > $i > $o,SV5: $i,SV92: $i,SV66: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV66 @ SV92 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1571]) ).
thf(1700,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV256: $i,SV211: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV211 @ SV256 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 @ SV92 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1573]) ).
thf(1701,plain,
! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV212: $i,SV155: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV155 @ SV212 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV155 @ SV212 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1575]) ).
thf(1703,plain,
! [SV6: $i > $i > $o,SV5: $i,SV156: $i,SV112: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV112 @ SV156 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1577]) ).
thf(1706,plain,
! [SV4: $i > $i > $o,SV5: $i,SV94: $i,SV67: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV67 @ SV94 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1580]) ).
thf(1708,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV257: $i,SV213: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV213 @ SV257 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 @ SV94 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1582]) ).
thf(1709,plain,
! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV214: $i,SV157: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV157 @ SV214 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV157 @ SV214 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1584]) ).
thf(1711,plain,
! [SV6: $i > $i > $o,SV5: $i,SV158: $i,SV113: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV113 @ SV158 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1586]) ).
thf(1714,plain,
! [SV4: $i > $i > $o,SV5: $i,SV96: $i,SV68: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV68 @ SV96 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1589]) ).
thf(1716,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV258: $i,SV215: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV215 @ SV258 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 @ SV96 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1591]) ).
thf(1717,plain,
! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV216: $i,SV159: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV159 @ SV216 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV159 @ SV216 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1593]) ).
thf(1719,plain,
! [SV6: $i > $i > $o,SV5: $i,SV160: $i,SV114: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV114 @ SV160 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1595]) ).
thf(1722,plain,
! [SV4: $i > $i > $o,SV5: $i,SV98: $i,SV69: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV69 @ SV98 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1598]) ).
thf(1724,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV259: $i,SV217: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV217 @ SV259 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 @ SV98 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1600]) ).
thf(1725,plain,
! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV218: $i,SV161: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV161 @ SV218 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV161 @ SV218 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1602]) ).
thf(1727,plain,
! [SV6: $i > $i > $o,SV5: $i,SV162: $i,SV115: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV115 @ SV162 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1604]) ).
thf(1730,plain,
! [SV4: $i > $i > $o,SV5: $i,SV100: $i,SV70: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV70 @ SV100 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1607]) ).
thf(1732,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV260: $i,SV219: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV219 @ SV260 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 @ SV100 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1609]) ).
thf(1733,plain,
! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV220: $i,SV163: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV163 @ SV220 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV163 @ SV220 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1611]) ).
thf(1735,plain,
! [SV6: $i > $i > $o,SV5: $i,SV164: $i,SV116: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV116 @ SV164 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1613]) ).
thf(1738,plain,
! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1616]) ).
thf(1740,plain,
! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV261: $i,SV221: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV221 @ SV261 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1618]) ).
thf(1741,plain,
! [SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV221 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1619]) ).
thf(1742,plain,
! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV241: $i] :
( ( ( ~ ! [SY228: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV241 @ SY228 ) )
= $false )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1620]) ).
thf(1743,plain,
! [SV71: $i,SV6: $i > $i > $o,SV5: $i,SV222: $i,SV165: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV165 @ SV222 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV165 @ SV222 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1621]) ).
thf(1744,plain,
! [SV222: $i,SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV165 @ SV222 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1622]) ).
thf(1745,plain,
! [SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV242: $i] :
( ( ( ~ ! [SY229: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV242 @ SY229 ) )
= $false )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV165 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1623]) ).
thf(1746,plain,
! [SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV262: $i,SV191: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV191 @ SV262 ) )
= $true )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1624]) ).
thf(1748,plain,
! [SV6: $i > $i > $o,SV5: $i,SV166: $i,SV117: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV117 @ SV166 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1625]) ).
thf(1749,plain,
! [SV166: $i,SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV243: $i] :
( ( ( ~ ! [SY230: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV243 @ SY230 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV117 @ SV166 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1626]) ).
thf(1750,plain,
! [SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV263: $i,SV192: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV192 @ SV263 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV117 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1627]) ).
thf(1751,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV223: $i,SV139: $i] :
( ( ( parent_THFTYPE_IiioI @ SV139 @ SV223 )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1628]) ).
thf(1752,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK135_SX0 @ SV6 ) @ ( sK143_SY193 @ SV6 ) ) )
= $true )
| ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1630]) ).
thf(1755,plain,
! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1634]) ).
thf(1757,plain,
! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV244: $i,SV193: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV193 @ SV244 )
| $true )
| ~ ( ~ ( SV4 @ SV193 @ SV244 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1636]) ).
thf(1758,plain,
! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV244: $i,SV193: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV193 @ SV244 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1636]) ).
thf(1759,plain,
! [SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV245: $i] :
( ( ( ~ ! [SY231: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV245 @ SY231 ) )
= $false )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV193 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1637]) ).
thf(1760,plain,
! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV264: $i,SV194: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV194 @ SV264 ) )
= $true )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1638]) ).
thf(1761,plain,
! [SV61: $i,SV6: $i > $i > $o,SV5: $i,SV195: $i,SV140: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV140 @ SV195 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV140 @ SV195 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1639]) ).
thf(1762,plain,
! [SV195: $i,SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV246: $i] :
( ( ( ~ ! [SY232: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV246 @ SY232 ) )
= $false )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV140 @ SV195 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1640]) ).
thf(1763,plain,
! [SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV265: $i,SV196: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV196 @ SV265 ) )
= $true )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV140 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1641]) ).
thf(1764,plain,
! [SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV225: $i,SV141: $i] :
( ( ( parent_THFTYPE_IiioI @ SV141 @ SV225 )
= $true )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1642]) ).
thf(1766,plain,
! [SV6: $i > $i > $o,SV5: $i,SV142: $i,SV104: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV104 @ SV142 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1644]) ).
thf(1767,plain,
! [SV142: $i,SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV266: $i,SV197: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV197 @ SV266 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV104 @ SV142 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1645]) ).
thf(1768,plain,
! [SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV226: $i,SV143: $i] :
( ( ( parent_THFTYPE_IiioI @ SV143 @ SV226 )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV104 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1646]) ).
thf(1771,plain,
! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
( ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1649]) ).
thf(1773,plain,
! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV267: $i,SV227: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV227 @ SV267 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1651]) ).
thf(1774,plain,
! [SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV227 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1652]) ).
thf(1775,plain,
! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV248: $i] :
( ( ( ~ ! [SY233: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV248 @ SY233 ) )
= $false )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1653]) ).
thf(1776,plain,
! [SV73: $i,SV6: $i > $i > $o,SV5: $i,SV228: $i,SV170: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV170 @ SV228 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV170 @ SV228 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1654]) ).
thf(1777,plain,
! [SV228: $i,SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV170 @ SV228 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1655]) ).
thf(1778,plain,
! [SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV249: $i] :
( ( ( ~ ! [SY234: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV249 @ SY234 ) )
= $false )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV170 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1656]) ).
thf(1779,plain,
! [SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV268: $i,SV200: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV200 @ SV268 ) )
= $true )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1657]) ).
thf(1781,plain,
! [SV6: $i > $i > $o,SV5: $i,SV171: $i,SV120: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV120 @ SV171 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1658]) ).
thf(1782,plain,
! [SV171: $i,SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV250: $i] :
( ( ( ~ ! [SY235: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV250 @ SY235 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV120 @ SV171 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1659]) ).
thf(1783,plain,
! [SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV269: $i,SV201: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV201 @ SV269 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV120 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1660]) ).
thf(1784,plain,
! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV229: $i,SV146: $i] :
( ( ( likes_THFTYPE_IiioI @ SV146 @ SV229 )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1661]) ).
thf(1785,plain,
! [SV6: $i > $i > $o] :
( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK137_SX0 @ SV6 ) @ ( sK144_SY196 @ SV6 ) ) )
= $true )
| ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1663]) ).
thf(1788,plain,
! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1667]) ).
thf(1790,plain,
! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV251: $i,SV202: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV202 @ SV251 )
| $true )
| ~ ( ~ ( SV4 @ SV202 @ SV251 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1669]) ).
thf(1791,plain,
! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV251: $i,SV202: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV202 @ SV251 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1669]) ).
thf(1792,plain,
! [SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV252: $i] :
( ( ( ~ ! [SY236: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV252 @ SY236 ) )
= $false )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV202 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1670]) ).
thf(1793,plain,
! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV270: $i,SV203: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV203 @ SV270 ) )
= $true )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1671]) ).
thf(1794,plain,
! [SV63: $i,SV6: $i > $i > $o,SV5: $i,SV204: $i,SV147: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV147 @ SV204 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV147 @ SV204 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1672]) ).
thf(1795,plain,
! [SV204: $i,SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV253: $i] :
( ( ( ~ ! [SY237: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV253 @ SY237 ) )
= $false )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV147 @ SV204 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1673]) ).
thf(1796,plain,
! [SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV271: $i,SV205: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV205 @ SV271 ) )
= $true )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV147 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1674]) ).
thf(1797,plain,
! [SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV231: $i,SV148: $i] :
( ( ( likes_THFTYPE_IiioI @ SV148 @ SV231 )
= $true )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1675]) ).
thf(1799,plain,
! [SV6: $i > $i > $o,SV5: $i,SV149: $i,SV108: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV108 @ SV149 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1677]) ).
thf(1800,plain,
! [SV149: $i,SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV272: $i,SV206: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV206 @ SV272 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV108 @ SV149 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1678]) ).
thf(1801,plain,
! [SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV232: $i,SV150: $i] :
( ( ( likes_THFTYPE_IiioI @ SV150 @ SV232 )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV108 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1679]) ).
thf(1804,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV64 @ SV88 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1682]) ).
thf(1806,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV254: $i,SV207: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV207 @ SV254 )
| $true )
| ~ ( ~ ( SV4 @ SV207 @ SV254 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 @ SV88 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1684]) ).
thf(1807,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV254: $i,SV207: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV207 @ SV254 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 @ SV88 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1684]) ).
thf(1808,plain,
! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV208: $i,SV151: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV151 @ SV208 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV151 @ SV208 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1685]) ).
thf(1810,plain,
! [SV6: $i > $i > $o,SV5: $i,SV152: $i,SV110: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV110 @ SV152 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1687]) ).
thf(1813,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV65 @ SV90 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1690]) ).
thf(1815,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV255: $i,SV209: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV209 @ SV255 )
| $true )
| ~ ( ~ ( SV4 @ SV209 @ SV255 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 @ SV90 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1692]) ).
thf(1816,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV255: $i,SV209: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV209 @ SV255 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 @ SV90 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1692]) ).
thf(1817,plain,
! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV210: $i,SV153: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV153 @ SV210 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV153 @ SV210 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1693]) ).
thf(1819,plain,
! [SV6: $i > $i > $o,SV5: $i,SV154: $i,SV111: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV111 @ SV154 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1695]) ).
thf(1822,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV66 @ SV92 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1698]) ).
thf(1824,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV256: $i,SV211: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV211 @ SV256 )
| $true )
| ~ ( ~ ( SV4 @ SV211 @ SV256 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 @ SV92 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1700]) ).
thf(1825,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV256: $i,SV211: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV211 @ SV256 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 @ SV92 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1700]) ).
thf(1826,plain,
! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV212: $i,SV155: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV155 @ SV212 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV155 @ SV212 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1701]) ).
thf(1828,plain,
! [SV6: $i > $i > $o,SV5: $i,SV156: $i,SV112: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV112 @ SV156 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1703]) ).
thf(1831,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV67 @ SV94 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1706]) ).
thf(1833,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV257: $i,SV213: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV213 @ SV257 )
| $true )
| ~ ( ~ ( SV4 @ SV213 @ SV257 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 @ SV94 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1708]) ).
thf(1834,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV257: $i,SV213: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV213 @ SV257 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 @ SV94 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1708]) ).
thf(1835,plain,
! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV214: $i,SV157: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV157 @ SV214 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV157 @ SV214 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1709]) ).
thf(1837,plain,
! [SV6: $i > $i > $o,SV5: $i,SV158: $i,SV113: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV113 @ SV158 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1711]) ).
thf(1840,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV68 @ SV96 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1714]) ).
thf(1842,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV258: $i,SV215: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV215 @ SV258 )
| $true )
| ~ ( ~ ( SV4 @ SV215 @ SV258 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 @ SV96 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1716]) ).
thf(1843,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV258: $i,SV215: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV215 @ SV258 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 @ SV96 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1716]) ).
thf(1844,plain,
! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV216: $i,SV159: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV159 @ SV216 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV159 @ SV216 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1717]) ).
thf(1846,plain,
! [SV6: $i > $i > $o,SV5: $i,SV160: $i,SV114: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV114 @ SV160 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1719]) ).
thf(1849,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV69 @ SV98 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1722]) ).
thf(1851,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV259: $i,SV217: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV217 @ SV259 )
| $true )
| ~ ( ~ ( SV4 @ SV217 @ SV259 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 @ SV98 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1724]) ).
thf(1852,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV259: $i,SV217: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV217 @ SV259 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 @ SV98 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1724]) ).
thf(1853,plain,
! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV218: $i,SV161: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV161 @ SV218 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV161 @ SV218 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1725]) ).
thf(1855,plain,
! [SV6: $i > $i > $o,SV5: $i,SV162: $i,SV115: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV115 @ SV162 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1727]) ).
thf(1858,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV70 @ SV100 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1730]) ).
thf(1860,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV260: $i,SV219: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV219 @ SV260 )
| $true )
| ~ ( ~ ( SV4 @ SV219 @ SV260 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 @ SV100 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1732]) ).
thf(1861,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV260: $i,SV219: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV219 @ SV260 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 @ SV100 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1732]) ).
thf(1862,plain,
! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV220: $i,SV163: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV163 @ SV220 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV163 @ SV220 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1733]) ).
thf(1864,plain,
! [SV6: $i > $i > $o,SV5: $i,SV164: $i,SV116: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV116 @ SV164 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1735]) ).
thf(1867,plain,
! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1738]) ).
thf(1869,plain,
! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV261: $i,SV221: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV221 @ SV261 )
| $true )
| ~ ( ~ ( SV4 @ SV221 @ SV261 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1740]) ).
thf(1870,plain,
! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV261: $i,SV221: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV221 @ SV261 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1740]) ).
thf(1871,plain,
! [SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV273: $i] :
( ( ( ~ ~ ! [SY238: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV273 @ SY238 ) )
= $true )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV221 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1741]) ).
thf(1872,plain,
! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV241: $i] :
( ( ( ! [SY228: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV241 @ SY228 ) )
= $true )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1742]) ).
thf(1873,plain,
! [SV71: $i,SV6: $i > $i > $o,SV5: $i,SV222: $i,SV165: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV165 @ SV222 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV165 @ SV222 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1743]) ).
thf(1874,plain,
! [SV222: $i,SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV274: $i] :
( ( ( ~ ~ ! [SY239: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV274 @ SY239 ) )
= $true )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV165 @ SV222 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1744]) ).
thf(1875,plain,
! [SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV242: $i] :
( ( ( ! [SY229: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV242 @ SY229 ) )
= $true )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV165 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1745]) ).
thf(1876,plain,
! [SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV262: $i,SV191: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV191 @ SV262 ) )
= $false )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1746]) ).
thf(1878,plain,
! [SV6: $i > $i > $o,SV5: $i,SV166: $i,SV117: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV117 @ SV166 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1748]) ).
thf(1879,plain,
! [SV166: $i,SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV243: $i] :
( ( ( ! [SY230: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV243 @ SY230 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV117 @ SV166 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1749]) ).
thf(1880,plain,
! [SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV263: $i,SV192: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV192 @ SV263 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV117 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1750]) ).
thf(1881,plain,
! [SV6: $i > $i > $o] :
( ( ( parent_THFTYPE_IiioI @ ( sK135_SX0 @ SV6 ) @ ( sK143_SY193 @ SV6 ) )
= $false )
| ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1752]) ).
thf(1884,plain,
! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1755]) ).
thf(1886,plain,
! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV244: $i,SV193: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV193 @ SV244 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV193 @ SV244 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1757]) ).
thf(1887,plain,
! [SV244: $i,SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV275: $i] :
( ( ( ~ ~ ! [SY240: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV275 @ SY240 ) )
= $true )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV193 @ SV244 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1758]) ).
thf(1888,plain,
! [SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV245: $i] :
( ( ( ! [SY231: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV245 @ SY231 ) )
= $true )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV193 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1759]) ).
thf(1889,plain,
! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV264: $i,SV194: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV194 @ SV264 ) )
= $false )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1760]) ).
thf(1891,plain,
! [SV61: $i,SV6: $i > $i > $o,SV5: $i,SV195: $i,SV140: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV140 @ SV195 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1761]) ).
thf(1892,plain,
! [SV195: $i,SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV246: $i] :
( ( ( ! [SY232: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV246 @ SY232 ) )
= $true )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV140 @ SV195 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1762]) ).
thf(1893,plain,
! [SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV265: $i,SV196: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV196 @ SV265 ) )
= $false )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV140 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1763]) ).
thf(1896,plain,
! [SV6: $i > $i > $o,SV5: $i,SV142: $i,SV104: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV104 @ SV142 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1766]) ).
thf(1898,plain,
! [SV142: $i,SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV266: $i,SV197: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV197 @ SV266 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV104 @ SV142 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1767]) ).
thf(1901,plain,
! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
!= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1771]) ).
thf(1903,plain,
! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV267: $i,SV227: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV227 @ SV267 )
| $true )
| ~ ( ~ ( SV4 @ SV227 @ SV267 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1773]) ).
thf(1904,plain,
! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV267: $i,SV227: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV227 @ SV267 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1773]) ).
thf(1905,plain,
! [SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV276: $i] :
( ( ( ~ ~ ! [SY241: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV276 @ SY241 ) )
= $true )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV227 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1774]) ).
thf(1906,plain,
! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV248: $i] :
( ( ( ! [SY233: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV248 @ SY233 ) )
= $true )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1775]) ).
thf(1907,plain,
! [SV73: $i,SV6: $i > $i > $o,SV5: $i,SV228: $i,SV170: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV170 @ SV228 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV170 @ SV228 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1776]) ).
thf(1908,plain,
! [SV228: $i,SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV277: $i] :
( ( ( ~ ~ ! [SY242: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV277 @ SY242 ) )
= $true )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV170 @ SV228 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1777]) ).
thf(1909,plain,
! [SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV249: $i] :
( ( ( ! [SY234: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV249 @ SY234 ) )
= $true )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV170 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1778]) ).
thf(1910,plain,
! [SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV268: $i,SV200: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ SV200 @ SV268 ) )
= $false )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1779]) ).
thf(1912,plain,
! [SV6: $i > $i > $o,SV5: $i,SV171: $i,SV120: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV120 @ SV171 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1781]) ).
thf(1913,plain,
! [SV171: $i,SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV250: $i] :
( ( ( ! [SY235: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV250 @ SY235 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV120 @ SV171 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1782]) ).
thf(1914,plain,
! [SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV269: $i,SV201: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ SV201 @ SV269 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV120 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1783]) ).
thf(1915,plain,
! [SV6: $i > $i > $o] :
( ( ( likes_THFTYPE_IiioI @ ( sK137_SX0 @ SV6 ) @ ( sK144_SY196 @ SV6 ) )
= $false )
| ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1785]) ).
thf(1918,plain,
! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1788]) ).
thf(1920,plain,
! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV251: $i,SV202: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV202 @ SV251 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV202 @ SV251 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1790]) ).
thf(1921,plain,
! [SV251: $i,SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV278: $i] :
( ( ( ~ ~ ! [SY243: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV278 @ SY243 ) )
= $true )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV202 @ SV251 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1791]) ).
thf(1922,plain,
! [SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV252: $i] :
( ( ( ! [SY236: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV252 @ SY236 ) )
= $true )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV202 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1792]) ).
thf(1923,plain,
! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV270: $i,SV203: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ SV203 @ SV270 ) )
= $false )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1793]) ).
thf(1925,plain,
! [SV63: $i,SV6: $i > $i > $o,SV5: $i,SV204: $i,SV147: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV147 @ SV204 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1794]) ).
thf(1926,plain,
! [SV204: $i,SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV253: $i] :
( ( ( ! [SY237: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV253 @ SY237 ) )
= $true )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV147 @ SV204 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1795]) ).
thf(1927,plain,
! [SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV271: $i,SV205: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ SV205 @ SV271 ) )
= $false )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV147 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1796]) ).
thf(1930,plain,
! [SV6: $i > $i > $o,SV5: $i,SV149: $i,SV108: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV108 @ SV149 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1799]) ).
thf(1932,plain,
! [SV149: $i,SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV272: $i,SV206: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ SV206 @ SV272 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV108 @ SV149 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1800]) ).
thf(1935,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV64 @ SV88 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1804]) ).
thf(1937,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV254: $i,SV207: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV207 @ SV254 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV207 @ SV254 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 @ SV88 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1806]) ).
thf(1939,plain,
! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV208: $i,SV151: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV151 @ SV208 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1808]) ).
thf(1942,plain,
! [SV6: $i > $i > $o,SV5: $i,SV152: $i,SV110: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV110 @ SV152 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1810]) ).
thf(1946,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV65 @ SV90 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1813]) ).
thf(1948,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV255: $i,SV209: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV209 @ SV255 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV209 @ SV255 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 @ SV90 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1815]) ).
thf(1950,plain,
! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV210: $i,SV153: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV153 @ SV210 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1817]) ).
thf(1953,plain,
! [SV6: $i > $i > $o,SV5: $i,SV154: $i,SV111: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV111 @ SV154 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1819]) ).
thf(1957,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV66 @ SV92 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1822]) ).
thf(1959,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV256: $i,SV211: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV211 @ SV256 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV211 @ SV256 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 @ SV92 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1824]) ).
thf(1961,plain,
! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV212: $i,SV155: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV155 @ SV212 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1826]) ).
thf(1964,plain,
! [SV6: $i > $i > $o,SV5: $i,SV156: $i,SV112: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV112 @ SV156 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1828]) ).
thf(1968,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV67 @ SV94 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1831]) ).
thf(1970,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV257: $i,SV213: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV213 @ SV257 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV213 @ SV257 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 @ SV94 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1833]) ).
thf(1972,plain,
! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV214: $i,SV157: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV157 @ SV214 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1835]) ).
thf(1975,plain,
! [SV6: $i > $i > $o,SV5: $i,SV158: $i,SV113: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV113 @ SV158 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1837]) ).
thf(1979,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV68 @ SV96 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1840]) ).
thf(1981,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV258: $i,SV215: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV215 @ SV258 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV215 @ SV258 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 @ SV96 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1842]) ).
thf(1983,plain,
! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV216: $i,SV159: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV159 @ SV216 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1844]) ).
thf(1986,plain,
! [SV6: $i > $i > $o,SV5: $i,SV160: $i,SV114: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV114 @ SV160 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1846]) ).
thf(1990,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV69 @ SV98 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1849]) ).
thf(1992,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV259: $i,SV217: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV217 @ SV259 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV217 @ SV259 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 @ SV98 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1851]) ).
thf(1994,plain,
! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV218: $i,SV161: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV161 @ SV218 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1853]) ).
thf(1997,plain,
! [SV6: $i > $i > $o,SV5: $i,SV162: $i,SV115: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV115 @ SV162 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1855]) ).
thf(2001,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV70 @ SV100 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1858]) ).
thf(2003,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV260: $i,SV219: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV219 @ SV260 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV219 @ SV260 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 @ SV100 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1860]) ).
thf(2005,plain,
! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV220: $i,SV163: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV163 @ SV220 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1862]) ).
thf(2008,plain,
! [SV6: $i > $i > $o,SV5: $i,SV164: $i,SV116: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV116 @ SV164 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1864]) ).
thf(2012,plain,
! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1867]) ).
thf(2014,plain,
! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV261: $i,SV221: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV221 @ SV261 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV221 @ SV261 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1869]) ).
thf(2015,plain,
! [SV261: $i,SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV221 @ SV261 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1870]) ).
thf(2016,plain,
! [SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV273: $i] :
( ( ( ~ ! [SY238: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV273 @ SY238 ) )
= $false )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV221 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1871]) ).
thf(2017,plain,
! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV279: $i,SV241: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV241 @ SV279 ) )
= $true )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1872]) ).
thf(2019,plain,
! [SV71: $i,SV6: $i > $i > $o,SV5: $i,SV222: $i,SV165: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV165 @ SV222 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1873]) ).
thf(2020,plain,
! [SV222: $i,SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV274: $i] :
( ( ( ~ ! [SY239: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV274 @ SY239 ) )
= $false )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV165 @ SV222 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1874]) ).
thf(2021,plain,
! [SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV280: $i,SV242: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV242 @ SV280 ) )
= $true )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV165 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1875]) ).
thf(2022,plain,
! [SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV262: $i,SV191: $i] :
( ( ( parent_THFTYPE_IiioI @ SV191 @ SV262 )
= $true )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1876]) ).
thf(2025,plain,
! [SV6: $i > $i > $o,SV5: $i,SV166: $i,SV117: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV117 @ SV166 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1878]) ).
thf(2027,plain,
! [SV166: $i,SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV281: $i,SV243: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV243 @ SV281 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV117 @ SV166 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1879]) ).
thf(2028,plain,
! [SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV263: $i,SV192: $i] :
( ( ( parent_THFTYPE_IiioI @ SV192 @ SV263 )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV117 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1880]) ).
thf(2033,plain,
! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV284: $i] :
( ( SV4 @ SV284 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1884]) ).
thf(2034,plain,
! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1884]) ).
thf(2037,plain,
! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV244: $i,SV193: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV193 @ SV244 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV193 @ SV244 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1886]) ).
thf(2038,plain,
! [SV244: $i,SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV275: $i] :
( ( ( ~ ! [SY240: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV275 @ SY240 ) )
= $false )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV193 @ SV244 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1887]) ).
thf(2039,plain,
! [SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV286: $i,SV245: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV245 @ SV286 ) )
= $true )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV193 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1888]) ).
thf(2040,plain,
! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV264: $i,SV194: $i] :
( ( ( parent_THFTYPE_IiioI @ SV194 @ SV264 )
= $true )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1889]) ).
thf(2042,plain,
! [SV61: $i,SV6: $i > $i > $o,SV5: $i,SV195: $i,SV140: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV140 @ SV195 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1891]) ).
thf(2043,plain,
! [SV195: $i,SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV287: $i,SV246: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV246 @ SV287 ) )
= $true )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV140 @ SV195 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1892]) ).
thf(2044,plain,
! [SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV265: $i,SV196: $i] :
( ( ( parent_THFTYPE_IiioI @ SV196 @ SV265 )
= $true )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV140 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1893]) ).
thf(2047,plain,
! [SV6: $i > $i > $o,SV5: $i,SV142: $i,SV104: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV104 @ SV142 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1896]) ).
thf(2049,plain,
! [SV142: $i,SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV266: $i,SV197: $i] :
( ( ( parent_THFTYPE_IiioI @ SV197 @ SV266 )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV104 @ SV142 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1898]) ).
thf(2052,plain,
! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1901]) ).
thf(2054,plain,
! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV267: $i,SV227: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV227 @ SV267 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV227 @ SV267 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1903]) ).
thf(2055,plain,
! [SV267: $i,SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV227 @ SV267 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1904]) ).
thf(2056,plain,
! [SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV276: $i] :
( ( ( ~ ! [SY241: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV276 @ SY241 ) )
= $false )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV227 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1905]) ).
thf(2057,plain,
! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV288: $i,SV248: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV248 @ SV288 ) )
= $true )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1906]) ).
thf(2059,plain,
! [SV73: $i,SV6: $i > $i > $o,SV5: $i,SV228: $i,SV170: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV170 @ SV228 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1907]) ).
thf(2060,plain,
! [SV228: $i,SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV277: $i] :
( ( ( ~ ! [SY242: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV277 @ SY242 ) )
= $false )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV170 @ SV228 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1908]) ).
thf(2061,plain,
! [SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV289: $i,SV249: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV249 @ SV289 ) )
= $true )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV170 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1909]) ).
thf(2062,plain,
! [SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV268: $i,SV200: $i] :
( ( ( likes_THFTYPE_IiioI @ SV200 @ SV268 )
= $true )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1910]) ).
thf(2065,plain,
! [SV6: $i > $i > $o,SV5: $i,SV171: $i,SV120: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV120 @ SV171 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1912]) ).
thf(2067,plain,
! [SV171: $i,SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV290: $i,SV250: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV250 @ SV290 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV120 @ SV171 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1913]) ).
thf(2068,plain,
! [SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV269: $i,SV201: $i] :
( ( ( likes_THFTYPE_IiioI @ SV201 @ SV269 )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV120 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1914]) ).
thf(2073,plain,
! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV293: $i] :
( ( SV4 @ SV293 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1918]) ).
thf(2074,plain,
! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1918]) ).
thf(2077,plain,
! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV251: $i,SV202: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV202 @ SV251 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV202 @ SV251 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1920]) ).
thf(2078,plain,
! [SV251: $i,SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV278: $i] :
( ( ( ~ ! [SY243: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV278 @ SY243 ) )
= $false )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV202 @ SV251 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1921]) ).
thf(2079,plain,
! [SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV295: $i,SV252: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV252 @ SV295 ) )
= $true )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV202 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1922]) ).
thf(2080,plain,
! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV270: $i,SV203: $i] :
( ( ( likes_THFTYPE_IiioI @ SV203 @ SV270 )
= $true )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1923]) ).
thf(2082,plain,
! [SV63: $i,SV6: $i > $i > $o,SV5: $i,SV204: $i,SV147: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV147 @ SV204 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1925]) ).
thf(2083,plain,
! [SV204: $i,SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV296: $i,SV253: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV253 @ SV296 ) )
= $true )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV147 @ SV204 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1926]) ).
thf(2084,plain,
! [SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV271: $i,SV205: $i] :
( ( ( likes_THFTYPE_IiioI @ SV205 @ SV271 )
= $true )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV147 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1927]) ).
thf(2087,plain,
! [SV6: $i > $i > $o,SV5: $i,SV149: $i,SV108: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV108 @ SV149 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1930]) ).
thf(2089,plain,
! [SV149: $i,SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV272: $i,SV206: $i] :
( ( ( likes_THFTYPE_IiioI @ SV206 @ SV272 )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV108 @ SV149 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1932]) ).
thf(2094,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV299: $i] :
( ( SV4 @ SV299 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV64 @ SV88 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1935]) ).
thf(2095,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV64 @ SV88 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1935]) ).
thf(2098,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV254: $i,SV207: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV207 @ SV254 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV207 @ SV254 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 @ SV88 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1937]) ).
thf(2100,plain,
! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV208: $i,SV151: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV151 @ SV208 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1939]) ).
thf(2103,plain,
! [SV6: $i > $i > $o,SV5: $i,SV152: $i,SV110: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV110 @ SV152 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1942]) ).
thf(2109,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV303: $i] :
( ( SV4 @ SV303 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV65 @ SV90 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1946]) ).
thf(2110,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV65 @ SV90 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1946]) ).
thf(2113,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV255: $i,SV209: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV209 @ SV255 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV209 @ SV255 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 @ SV90 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1948]) ).
thf(2115,plain,
! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV210: $i,SV153: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV153 @ SV210 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1950]) ).
thf(2118,plain,
! [SV6: $i > $i > $o,SV5: $i,SV154: $i,SV111: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV111 @ SV154 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1953]) ).
thf(2124,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV307: $i] :
( ( SV4 @ SV307 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV66 @ SV92 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1957]) ).
thf(2125,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV66 @ SV92 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1957]) ).
thf(2128,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV256: $i,SV211: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV211 @ SV256 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV211 @ SV256 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 @ SV92 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1959]) ).
thf(2130,plain,
! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV212: $i,SV155: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV155 @ SV212 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1961]) ).
thf(2133,plain,
! [SV6: $i > $i > $o,SV5: $i,SV156: $i,SV112: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV112 @ SV156 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1964]) ).
thf(2139,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV311: $i] :
( ( SV4 @ SV311 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV67 @ SV94 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1968]) ).
thf(2140,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV67 @ SV94 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1968]) ).
thf(2143,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV257: $i,SV213: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV213 @ SV257 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV213 @ SV257 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 @ SV94 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1970]) ).
thf(2145,plain,
! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV214: $i,SV157: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV157 @ SV214 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1972]) ).
thf(2148,plain,
! [SV6: $i > $i > $o,SV5: $i,SV158: $i,SV113: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV113 @ SV158 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1975]) ).
thf(2154,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV315: $i] :
( ( SV4 @ SV315 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV68 @ SV96 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1979]) ).
thf(2155,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV68 @ SV96 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1979]) ).
thf(2158,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV258: $i,SV215: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV215 @ SV258 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV215 @ SV258 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 @ SV96 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1981]) ).
thf(2160,plain,
! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV216: $i,SV159: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV159 @ SV216 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1983]) ).
thf(2163,plain,
! [SV6: $i > $i > $o,SV5: $i,SV160: $i,SV114: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV114 @ SV160 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1986]) ).
thf(2169,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV319: $i] :
( ( SV4 @ SV319 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV69 @ SV98 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1990]) ).
thf(2170,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV69 @ SV98 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1990]) ).
thf(2173,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV259: $i,SV217: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV217 @ SV259 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV217 @ SV259 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 @ SV98 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1992]) ).
thf(2175,plain,
! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV218: $i,SV161: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV161 @ SV218 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1994]) ).
thf(2178,plain,
! [SV6: $i > $i > $o,SV5: $i,SV162: $i,SV115: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV115 @ SV162 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1997]) ).
thf(2184,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV323: $i] :
( ( SV4 @ SV323 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV70 @ SV100 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2001]) ).
thf(2185,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV70 @ SV100 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2001]) ).
thf(2188,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV260: $i,SV219: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV219 @ SV260 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV219 @ SV260 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 @ SV100 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2003]) ).
thf(2190,plain,
! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV220: $i,SV163: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV163 @ SV220 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2005]) ).
thf(2193,plain,
! [SV6: $i > $i > $o,SV5: $i,SV164: $i,SV116: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV116 @ SV164 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2008]) ).
thf(2199,plain,
! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV327: $i] :
( ( SV4 @ SV327 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2012]) ).
thf(2200,plain,
! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2012]) ).
thf(2203,plain,
! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV261: $i,SV221: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV221 @ SV261 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV221 @ SV261 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2014]) ).
thf(2204,plain,
! [SV261: $i,SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV329: $i] :
( ( ( ~ ~ ! [SY284: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV329 @ SY284 ) )
= $true )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV221 @ SV261 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2015]) ).
thf(2205,plain,
! [SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV273: $i] :
( ( ( ! [SY238: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV273 @ SY238 ) )
= $true )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV221 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2016]) ).
thf(2206,plain,
! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV279: $i,SV241: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV241 @ SV279 ) )
= $false )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2017]) ).
thf(2208,plain,
! [SV71: $i,SV6: $i > $i > $o,SV5: $i,SV222: $i,SV165: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV165 @ SV222 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2019]) ).
thf(2209,plain,
! [SV222: $i,SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV274: $i] :
( ( ( ! [SY239: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV274 @ SY239 ) )
= $true )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV165 @ SV222 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2020]) ).
thf(2210,plain,
! [SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV280: $i,SV242: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV242 @ SV280 ) )
= $false )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV165 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2021]) ).
thf(2213,plain,
! [SV6: $i > $i > $o,SV5: $i,SV166: $i,SV117: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV117 @ SV166 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2025]) ).
thf(2215,plain,
! [SV166: $i,SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV281: $i,SV243: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV243 @ SV281 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV117 @ SV166 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2027]) ).
thf(2220,plain,
! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV334: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV334 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2033]) ).
thf(2221,plain,
! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV335: $i] :
( ( ( ~ ~ ! [SY290: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV335 @ SY290 ) )
= $true )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2034]) ).
thf(2225,plain,
! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV244: $i,SV193: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV193 @ SV244 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2037]) ).
thf(2226,plain,
! [SV244: $i,SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV275: $i] :
( ( ( ! [SY240: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV275 @ SY240 ) )
= $true )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV193 @ SV244 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2038]) ).
thf(2227,plain,
! [SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV286: $i,SV245: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV245 @ SV286 ) )
= $false )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV193 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2039]) ).
thf(2230,plain,
! [SV61: $i,SV6: $i > $i > $o,SV5: $i,SV195: $i,SV140: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV140 @ SV195 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2042]) ).
thf(2232,plain,
! [SV195: $i,SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV287: $i,SV246: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV246 @ SV287 ) )
= $false )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV140 @ SV195 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2043]) ).
thf(2235,plain,
! [SV142: $i,SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV340: $i] :
( ( ( ~ ~ ! [SY295: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV340 @ SY295 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV104 @ SV142 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2047]) ).
thf(2241,plain,
! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( ! [SV344: $i] :
( ( SV4 @ SV344 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2052]) ).
thf(2242,plain,
! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2052]) ).
thf(2245,plain,
! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV267: $i,SV227: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV227 @ SV267 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV227 @ SV267 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2054]) ).
thf(2246,plain,
! [SV267: $i,SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV346: $i] :
( ( ( ~ ~ ! [SY301: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV346 @ SY301 ) )
= $true )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV227 @ SV267 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2055]) ).
thf(2247,plain,
! [SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV276: $i] :
( ( ( ! [SY241: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV276 @ SY241 ) )
= $true )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV227 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2056]) ).
thf(2248,plain,
! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV288: $i,SV248: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ SV248 @ SV288 ) )
= $false )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2057]) ).
thf(2250,plain,
! [SV73: $i,SV6: $i > $i > $o,SV5: $i,SV228: $i,SV170: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV170 @ SV228 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2059]) ).
thf(2251,plain,
! [SV228: $i,SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV277: $i] :
( ( ( ! [SY242: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV277 @ SY242 ) )
= $true )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV170 @ SV228 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2060]) ).
thf(2252,plain,
! [SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV289: $i,SV249: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ SV249 @ SV289 ) )
= $false )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV170 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2061]) ).
thf(2255,plain,
! [SV6: $i > $i > $o,SV5: $i,SV171: $i,SV120: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV120 @ SV171 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2065]) ).
thf(2257,plain,
! [SV171: $i,SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV290: $i,SV250: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ SV250 @ SV290 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV120 @ SV171 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2067]) ).
thf(2262,plain,
! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV351: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV351 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2073]) ).
thf(2263,plain,
! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV352: $i] :
( ( ( ~ ~ ! [SY307: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV352 @ SY307 ) )
= $true )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2074]) ).
thf(2267,plain,
! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV251: $i,SV202: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV202 @ SV251 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2077]) ).
thf(2268,plain,
! [SV251: $i,SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV278: $i] :
( ( ( ! [SY243: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV278 @ SY243 ) )
= $true )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV202 @ SV251 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2078]) ).
thf(2269,plain,
! [SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV295: $i,SV252: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ SV252 @ SV295 ) )
= $false )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV202 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2079]) ).
thf(2272,plain,
! [SV63: $i,SV6: $i > $i > $o,SV5: $i,SV204: $i,SV147: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV147 @ SV204 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2082]) ).
thf(2274,plain,
! [SV204: $i,SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV296: $i,SV253: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ SV253 @ SV296 ) )
= $false )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV147 @ SV204 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2083]) ).
thf(2277,plain,
! [SV149: $i,SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV357: $i] :
( ( ( ~ ~ ! [SY312: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV357 @ SY312 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV108 @ SV149 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2087]) ).
thf(2281,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV361: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV361 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV64 @ SV88 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2094]) ).
thf(2284,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV254: $i,SV207: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV207 @ SV254 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 @ SV88 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2098]) ).
thf(2287,plain,
! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV208: $i,SV151: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV151 @ SV208 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2100]) ).
thf(2291,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV365: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV365 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV65 @ SV90 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2109]) ).
thf(2294,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV255: $i,SV209: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV209 @ SV255 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 @ SV90 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2113]) ).
thf(2297,plain,
! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV210: $i,SV153: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV153 @ SV210 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2115]) ).
thf(2301,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV369: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV369 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV66 @ SV92 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2124]) ).
thf(2304,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV256: $i,SV211: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV211 @ SV256 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 @ SV92 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2128]) ).
thf(2307,plain,
! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV212: $i,SV155: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV155 @ SV212 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2130]) ).
thf(2311,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV373: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV373 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV67 @ SV94 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2139]) ).
thf(2314,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV257: $i,SV213: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV213 @ SV257 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 @ SV94 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2143]) ).
thf(2317,plain,
! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV214: $i,SV157: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV157 @ SV214 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2145]) ).
thf(2321,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV377: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV377 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV68 @ SV96 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2154]) ).
thf(2324,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV258: $i,SV215: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV215 @ SV258 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 @ SV96 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2158]) ).
thf(2327,plain,
! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV216: $i,SV159: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV159 @ SV216 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2160]) ).
thf(2331,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV381: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV381 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV69 @ SV98 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2169]) ).
thf(2334,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV259: $i,SV217: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV217 @ SV259 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 @ SV98 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2173]) ).
thf(2337,plain,
! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV218: $i,SV161: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV161 @ SV218 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2175]) ).
thf(2341,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV385: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV385 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV70 @ SV100 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2184]) ).
thf(2344,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV260: $i,SV219: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV219 @ SV260 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 @ SV100 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2188]) ).
thf(2347,plain,
! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV220: $i,SV163: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV163 @ SV220 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2190]) ).
thf(2353,plain,
! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV389: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV389 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2199]) ).
thf(2354,plain,
! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2200]) ).
thf(2358,plain,
! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV261: $i,SV221: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV221 @ SV261 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2203]) ).
thf(2359,plain,
! [SV261: $i,SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV329: $i] :
( ( ( ~ ! [SY284: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV329 @ SY284 ) )
= $false )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV221 @ SV261 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2204]) ).
thf(2360,plain,
! [SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV391: $i,SV273: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV273 @ SV391 ) )
= $true )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV221 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2205]) ).
thf(2361,plain,
! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV279: $i,SV241: $i] :
( ( ( parent_THFTYPE_IiioI @ SV241 @ SV279 )
= $true )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2206]) ).
thf(2364,plain,
! [SV71: $i,SV6: $i > $i > $o,SV5: $i,SV222: $i,SV165: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV165 @ SV222 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2208]) ).
thf(2366,plain,
! [SV222: $i,SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV392: $i,SV274: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV274 @ SV392 ) )
= $true )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV165 @ SV222 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2209]) ).
thf(2367,plain,
! [SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV280: $i,SV242: $i] :
( ( ( parent_THFTYPE_IiioI @ SV242 @ SV280 )
= $true )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV165 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2210]) ).
thf(2370,plain,
! [SV166: $i,SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV117 @ SV166 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2213]) ).
thf(2372,plain,
! [SV166: $i,SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV281: $i,SV243: $i] :
( ( ( parent_THFTYPE_IiioI @ SV243 @ SV281 )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV117 @ SV166 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2215]) ).
thf(2379,plain,
! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV334: $i,SV4: $i > $i > $o] :
( ( ( ! [SV395: $i] :
( ( SV4 @ SV334 @ SV395 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2220]) ).
thf(2380,plain,
! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV334: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV334 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2220]) ).
thf(2381,plain,
! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV335: $i] :
( ( ( ~ ! [SY290: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV335 @ SY290 ) )
= $false )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2221]) ).
thf(2386,plain,
! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV244: $i,SV193: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV193 @ SV244 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2225]) ).
thf(2387,plain,
! [SV244: $i,SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV397: $i,SV275: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV275 @ SV397 ) )
= $true )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV193 @ SV244 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2226]) ).
thf(2388,plain,
! [SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV286: $i,SV245: $i] :
( ( ( parent_THFTYPE_IiioI @ SV245 @ SV286 )
= $true )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV193 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2227]) ).
thf(2391,plain,
! [SV61: $i,SV6: $i > $i > $o,SV5: $i,SV195: $i,SV140: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV140 @ SV195 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2230]) ).
thf(2393,plain,
! [SV195: $i,SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV287: $i,SV246: $i] :
( ( ( parent_THFTYPE_IiioI @ SV246 @ SV287 )
= $true )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV140 @ SV195 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2232]) ).
thf(2396,plain,
! [SV142: $i,SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV340: $i] :
( ( ( ~ ! [SY295: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV340 @ SY295 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV104 @ SV142 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2235]) ).
thf(2402,plain,
! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV400: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV400 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2241]) ).
thf(2403,plain,
! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2242]) ).
thf(2407,plain,
! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV267: $i,SV227: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV227 @ SV267 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2245]) ).
thf(2408,plain,
! [SV267: $i,SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV346: $i] :
( ( ( ~ ! [SY301: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV346 @ SY301 ) )
= $false )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV227 @ SV267 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2246]) ).
thf(2409,plain,
! [SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV402: $i,SV276: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV276 @ SV402 ) )
= $true )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV227 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2247]) ).
thf(2410,plain,
! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV288: $i,SV248: $i] :
( ( ( likes_THFTYPE_IiioI @ SV248 @ SV288 )
= $true )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2248]) ).
thf(2413,plain,
! [SV73: $i,SV6: $i > $i > $o,SV5: $i,SV228: $i,SV170: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV170 @ SV228 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2250]) ).
thf(2415,plain,
! [SV228: $i,SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV403: $i,SV277: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV277 @ SV403 ) )
= $true )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV170 @ SV228 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2251]) ).
thf(2416,plain,
! [SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV289: $i,SV249: $i] :
( ( ( likes_THFTYPE_IiioI @ SV249 @ SV289 )
= $true )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV170 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2252]) ).
thf(2419,plain,
! [SV171: $i,SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV120 @ SV171 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2255]) ).
thf(2421,plain,
! [SV171: $i,SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV290: $i,SV250: $i] :
( ( ( likes_THFTYPE_IiioI @ SV250 @ SV290 )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV120 @ SV171 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2257]) ).
thf(2428,plain,
! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV351: $i,SV4: $i > $i > $o] :
( ( ( ! [SV406: $i] :
( ( SV4 @ SV351 @ SV406 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2262]) ).
thf(2429,plain,
! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV351: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV351 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2262]) ).
thf(2430,plain,
! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV352: $i] :
( ( ( ~ ! [SY307: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV352 @ SY307 ) )
= $false )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2263]) ).
thf(2435,plain,
! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV251: $i,SV202: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV202 @ SV251 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2267]) ).
thf(2436,plain,
! [SV251: $i,SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV408: $i,SV278: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV278 @ SV408 ) )
= $true )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV202 @ SV251 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2268]) ).
thf(2437,plain,
! [SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV295: $i,SV252: $i] :
( ( ( likes_THFTYPE_IiioI @ SV252 @ SV295 )
= $true )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV202 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2269]) ).
thf(2440,plain,
! [SV63: $i,SV6: $i > $i > $o,SV5: $i,SV204: $i,SV147: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV147 @ SV204 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2272]) ).
thf(2442,plain,
! [SV204: $i,SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV296: $i,SV253: $i] :
( ( ( likes_THFTYPE_IiioI @ SV253 @ SV296 )
= $true )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV147 @ SV204 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2274]) ).
thf(2445,plain,
! [SV149: $i,SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV357: $i] :
( ( ( ~ ! [SY312: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV357 @ SY312 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV108 @ SV149 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2277]) ).
thf(2451,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV361: $i,SV4: $i > $i > $o] :
( ( ( ! [SV411: $i] :
( ( SV4 @ SV361 @ SV411 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV64 @ SV88 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2281]) ).
thf(2452,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV361: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV361 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV64 @ SV88 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2281]) ).
thf(2456,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV254: $i,SV207: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV207 @ SV254 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 @ SV88 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2284]) ).
thf(2459,plain,
! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV208: $i,SV151: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV151 @ SV208 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2287]) ).
thf(2465,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV365: $i,SV4: $i > $i > $o] :
( ( ( ! [SV415: $i] :
( ( SV4 @ SV365 @ SV415 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV65 @ SV90 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2291]) ).
thf(2466,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV365: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV365 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV65 @ SV90 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2291]) ).
thf(2470,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV255: $i,SV209: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV209 @ SV255 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 @ SV90 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2294]) ).
thf(2473,plain,
! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV210: $i,SV153: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV153 @ SV210 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2297]) ).
thf(2479,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV369: $i,SV4: $i > $i > $o] :
( ( ( ! [SV419: $i] :
( ( SV4 @ SV369 @ SV419 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV66 @ SV92 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2301]) ).
thf(2480,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV369: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV369 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV66 @ SV92 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2301]) ).
thf(2484,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV256: $i,SV211: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV211 @ SV256 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 @ SV92 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2304]) ).
thf(2487,plain,
! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV212: $i,SV155: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV155 @ SV212 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2307]) ).
thf(2493,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV373: $i,SV4: $i > $i > $o] :
( ( ( ! [SV423: $i] :
( ( SV4 @ SV373 @ SV423 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV67 @ SV94 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2311]) ).
thf(2494,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV373: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV373 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV67 @ SV94 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2311]) ).
thf(2498,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV257: $i,SV213: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV213 @ SV257 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 @ SV94 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2314]) ).
thf(2501,plain,
! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV214: $i,SV157: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV157 @ SV214 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2317]) ).
thf(2507,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV377: $i,SV4: $i > $i > $o] :
( ( ( ! [SV427: $i] :
( ( SV4 @ SV377 @ SV427 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV68 @ SV96 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2321]) ).
thf(2508,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV377: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV377 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV68 @ SV96 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2321]) ).
thf(2512,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV258: $i,SV215: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV215 @ SV258 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 @ SV96 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2324]) ).
thf(2515,plain,
! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV216: $i,SV159: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV159 @ SV216 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2327]) ).
thf(2521,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV381: $i,SV4: $i > $i > $o] :
( ( ( ! [SV431: $i] :
( ( SV4 @ SV381 @ SV431 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV69 @ SV98 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2331]) ).
thf(2522,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV381: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV381 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV69 @ SV98 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2331]) ).
thf(2526,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV259: $i,SV217: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV217 @ SV259 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 @ SV98 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2334]) ).
thf(2529,plain,
! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV218: $i,SV161: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV161 @ SV218 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2337]) ).
thf(2535,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV385: $i,SV4: $i > $i > $o] :
( ( ( ! [SV435: $i] :
( ( SV4 @ SV385 @ SV435 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV70 @ SV100 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2341]) ).
thf(2536,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV385: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV385 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV70 @ SV100 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2341]) ).
thf(2540,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV260: $i,SV219: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV219 @ SV260 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 @ SV100 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2344]) ).
thf(2543,plain,
! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV220: $i,SV163: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV163 @ SV220 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2347]) ).
thf(2551,plain,
! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV389: $i,SV4: $i > $i > $o] :
( ( ( ! [SV441: $i] :
( ( SV4 @ SV389 @ SV441 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2353]) ).
thf(2552,plain,
! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV389: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV389 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2353]) ).
thf(2553,plain,
! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV442: $i] :
( ( ( ~ ~ ! [SY352: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV442 @ SY352 ) )
= $true )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2354]) ).
thf(2558,plain,
! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV261: $i,SV221: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV221 @ SV261 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2358]) ).
thf(2559,plain,
! [SV261: $i,SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV329: $i] :
( ( ( ! [SY284: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV329 @ SY284 ) )
= $true )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV221 @ SV261 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2359]) ).
thf(2560,plain,
! [SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV391: $i,SV273: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV273 @ SV391 ) )
= $false )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV221 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2360]) ).
thf(2563,plain,
! [SV71: $i,SV6: $i > $i > $o,SV5: $i,SV222: $i,SV165: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV165 @ SV222 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2364]) ).
thf(2565,plain,
! [SV222: $i,SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV392: $i,SV274: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV274 @ SV392 ) )
= $false )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV165 @ SV222 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2366]) ).
thf(2568,plain,
! [SV166: $i,SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV447: $i] :
( ( ( ~ ~ ! [SY356: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV447 @ SY356 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV117 @ SV166 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2370]) ).
thf(2576,plain,
! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV453: $i,SV334: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV334 @ SV453 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2379]) ).
thf(2577,plain,
! [SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV454: $i] :
( ( ( ~ ~ ! [SY360: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV454 @ SY360 ) )
= $true )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV334 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2380]) ).
thf(2578,plain,
! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV335: $i] :
( ( ( ! [SY290: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV335 @ SY290 ) )
= $true )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2381]) ).
thf(2584,plain,
! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV244: $i,SV193: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV193 @ SV244 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2386]) ).
thf(2586,plain,
! [SV244: $i,SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV397: $i,SV275: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV275 @ SV397 ) )
= $false )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV193 @ SV244 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2387]) ).
thf(2589,plain,
! [SV195: $i,SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV459: $i] :
( ( ( ~ ~ ! [SY364: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV459 @ SY364 ) )
= $true )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV140 @ SV195 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2391]) ).
thf(2593,plain,
! [SV142: $i,SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV340: $i] :
( ( ( ! [SY295: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV340 @ SY295 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV104 @ SV142 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2396]) ).
thf(2601,plain,
! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV400: $i,SV4: $i > $i > $o] :
( ( ( ! [SV465: $i] :
( ( SV4 @ SV400 @ SV465 )
= $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2402]) ).
thf(2602,plain,
! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV400: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV400 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2402]) ).
thf(2603,plain,
! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV466: $i] :
( ( ( ~ ~ ! [SY368: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV466 @ SY368 ) )
= $true )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2403]) ).
thf(2608,plain,
! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV267: $i,SV227: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV227 @ SV267 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2407]) ).
thf(2609,plain,
! [SV267: $i,SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV346: $i] :
( ( ( ! [SY301: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV346 @ SY301 ) )
= $true )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV227 @ SV267 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2408]) ).
thf(2610,plain,
! [SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV402: $i,SV276: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ SV276 @ SV402 ) )
= $false )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV227 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2409]) ).
thf(2613,plain,
! [SV73: $i,SV6: $i > $i > $o,SV5: $i,SV228: $i,SV170: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV170 @ SV228 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2413]) ).
thf(2615,plain,
! [SV228: $i,SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV403: $i,SV277: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ SV277 @ SV403 ) )
= $false )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV170 @ SV228 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2415]) ).
thf(2618,plain,
! [SV171: $i,SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV471: $i] :
( ( ( ~ ~ ! [SY372: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV471 @ SY372 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV120 @ SV171 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2419]) ).
thf(2626,plain,
! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV477: $i,SV351: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV351 @ SV477 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2428]) ).
thf(2627,plain,
! [SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV478: $i] :
( ( ( ~ ~ ! [SY376: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV478 @ SY376 ) )
= $true )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV351 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2429]) ).
thf(2628,plain,
! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV352: $i] :
( ( ( ! [SY307: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV352 @ SY307 ) )
= $true )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2430]) ).
thf(2634,plain,
! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV251: $i,SV202: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV202 @ SV251 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2435]) ).
thf(2636,plain,
! [SV251: $i,SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV408: $i,SV278: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ SV278 @ SV408 ) )
= $false )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV202 @ SV251 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2436]) ).
thf(2639,plain,
! [SV204: $i,SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV483: $i] :
( ( ( ~ ~ ! [SY380: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV483 @ SY380 ) )
= $true )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV147 @ SV204 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2440]) ).
thf(2643,plain,
! [SV149: $i,SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV357: $i] :
( ( ( ! [SY312: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV357 @ SY312 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV108 @ SV149 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2445]) ).
thf(2647,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV487: $i,SV361: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV361 @ SV487 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV64 @ SV88 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2451]) ).
thf(2651,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV254: $i,SV207: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV207 @ SV254 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 @ SV88 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2456]) ).
thf(2655,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV491: $i,SV365: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV365 @ SV491 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV65 @ SV90 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2465]) ).
thf(2659,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV255: $i,SV209: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV209 @ SV255 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 @ SV90 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2470]) ).
thf(2663,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV495: $i,SV369: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV369 @ SV495 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV66 @ SV92 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2479]) ).
thf(2667,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV256: $i,SV211: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV211 @ SV256 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 @ SV92 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2484]) ).
thf(2671,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV499: $i,SV373: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV373 @ SV499 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV67 @ SV94 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2493]) ).
thf(2675,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV257: $i,SV213: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV213 @ SV257 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 @ SV94 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2498]) ).
thf(2679,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV503: $i,SV377: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV377 @ SV503 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV68 @ SV96 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2507]) ).
thf(2683,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV258: $i,SV215: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV215 @ SV258 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 @ SV96 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2512]) ).
thf(2687,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV507: $i,SV381: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV381 @ SV507 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV69 @ SV98 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2521]) ).
thf(2691,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV259: $i,SV217: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV217 @ SV259 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 @ SV98 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2526]) ).
thf(2695,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV511: $i,SV385: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV385 @ SV511 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV70 @ SV100 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2535]) ).
thf(2699,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV260: $i,SV219: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV219 @ SV260 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 @ SV100 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2540]) ).
thf(2707,plain,
! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV515: $i,SV389: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV389 @ SV515 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2551]) ).
thf(2708,plain,
! [SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV389 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2552]) ).
thf(2709,plain,
! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV442: $i] :
( ( ( ~ ! [SY352: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV442 @ SY352 ) )
= $false )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2553]) ).
thf(2715,plain,
! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV261: $i,SV221: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV221 @ SV261 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2558]) ).
thf(2717,plain,
! [SV261: $i,SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV517: $i,SV329: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV329 @ SV517 ) )
= $true )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV221 @ SV261 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2559]) ).
thf(2718,plain,
! [SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV391: $i,SV273: $i] :
( ( ( parent_THFTYPE_IiioI @ SV273 @ SV391 )
= $true )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV221 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2560]) ).
thf(2721,plain,
! [SV222: $i,SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV165 @ SV222 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2563]) ).
thf(2723,plain,
! [SV222: $i,SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV392: $i,SV274: $i] :
( ( ( parent_THFTYPE_IiioI @ SV274 @ SV392 )
= $true )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV165 @ SV222 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2565]) ).
thf(2726,plain,
! [SV166: $i,SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV447: $i] :
( ( ( ~ ! [SY356: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV447 @ SY356 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV117 @ SV166 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2568]) ).
thf(2736,plain,
! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV453: $i,SV334: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV334 @ SV453 )
| $true )
| ~ ( ~ ( SV4 @ SV334 @ SV453 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2576]) ).
thf(2737,plain,
! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV453: $i,SV334: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV334 @ SV453 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2576]) ).
thf(2738,plain,
! [SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV454: $i] :
( ( ( ~ ! [SY360: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV454 @ SY360 ) )
= $false )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV334 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2577]) ).
thf(2739,plain,
! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV520: $i,SV335: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV335 @ SV520 ) )
= $true )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2578]) ).
thf(2746,plain,
! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV244: $i,SV193: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV193 @ SV244 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2584]) ).
thf(2748,plain,
! [SV244: $i,SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV397: $i,SV275: $i] :
( ( ( parent_THFTYPE_IiioI @ SV275 @ SV397 )
= $true )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV193 @ SV244 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2586]) ).
thf(2751,plain,
! [SV195: $i,SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV459: $i] :
( ( ( ~ ! [SY364: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV459 @ SY364 ) )
= $false )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV140 @ SV195 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2589]) ).
thf(2755,plain,
! [SV142: $i,SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV524: $i,SV340: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV340 @ SV524 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV104 @ SV142 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2593]) ).
thf(2763,plain,
! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV528: $i,SV400: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV400 @ SV528 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2601]) ).
thf(2764,plain,
! [SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV400 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2602]) ).
thf(2765,plain,
! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV466: $i] :
( ( ( ~ ! [SY368: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV466 @ SY368 ) )
= $false )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2603]) ).
thf(2771,plain,
! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV267: $i,SV227: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV227 @ SV267 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2608]) ).
thf(2773,plain,
! [SV267: $i,SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV530: $i,SV346: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV346 @ SV530 ) )
= $true )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV227 @ SV267 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2609]) ).
thf(2774,plain,
! [SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV402: $i,SV276: $i] :
( ( ( likes_THFTYPE_IiioI @ SV276 @ SV402 )
= $true )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV227 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2610]) ).
thf(2777,plain,
! [SV228: $i,SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV170 @ SV228 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2613]) ).
thf(2779,plain,
! [SV228: $i,SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV403: $i,SV277: $i] :
( ( ( likes_THFTYPE_IiioI @ SV277 @ SV403 )
= $true )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV170 @ SV228 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2615]) ).
thf(2782,plain,
! [SV171: $i,SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV471: $i] :
( ( ( ~ ! [SY372: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV471 @ SY372 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV120 @ SV171 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2618]) ).
thf(2792,plain,
! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV477: $i,SV351: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV351 @ SV477 )
| $true )
| ~ ( ~ ( SV4 @ SV351 @ SV477 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2626]) ).
thf(2793,plain,
! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV477: $i,SV351: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV351 @ SV477 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2626]) ).
thf(2794,plain,
! [SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV478: $i] :
( ( ( ~ ! [SY376: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV478 @ SY376 ) )
= $false )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV351 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2627]) ).
thf(2795,plain,
! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV533: $i,SV352: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV352 @ SV533 ) )
= $true )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2628]) ).
thf(2802,plain,
! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV251: $i,SV202: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV202 @ SV251 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2634]) ).
thf(2804,plain,
! [SV251: $i,SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV408: $i,SV278: $i] :
( ( ( likes_THFTYPE_IiioI @ SV278 @ SV408 )
= $true )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV202 @ SV251 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2636]) ).
thf(2807,plain,
! [SV204: $i,SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV483: $i] :
( ( ( ~ ! [SY380: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV483 @ SY380 ) )
= $false )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV147 @ SV204 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2639]) ).
thf(2811,plain,
! [SV149: $i,SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV537: $i,SV357: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV357 @ SV537 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV108 @ SV149 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2643]) ).
thf(2817,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV487: $i,SV361: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV361 @ SV487 )
| $true )
| ~ ( ~ ( SV4 @ SV361 @ SV487 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV64 @ SV88 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2647]) ).
thf(2818,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV487: $i,SV361: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV361 @ SV487 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV64 @ SV88 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2647]) ).
thf(2823,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV254: $i,SV207: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV207 @ SV254 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 @ SV88 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2651]) ).
thf(2829,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV491: $i,SV365: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV365 @ SV491 )
| $true )
| ~ ( ~ ( SV4 @ SV365 @ SV491 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV65 @ SV90 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2655]) ).
thf(2830,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV491: $i,SV365: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV365 @ SV491 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV65 @ SV90 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2655]) ).
thf(2835,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV255: $i,SV209: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV209 @ SV255 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 @ SV90 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2659]) ).
thf(2841,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV495: $i,SV369: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV369 @ SV495 )
| $true )
| ~ ( ~ ( SV4 @ SV369 @ SV495 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV66 @ SV92 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2663]) ).
thf(2842,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV495: $i,SV369: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV369 @ SV495 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV66 @ SV92 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2663]) ).
thf(2847,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV256: $i,SV211: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV211 @ SV256 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 @ SV92 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2667]) ).
thf(2853,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV499: $i,SV373: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV373 @ SV499 )
| $true )
| ~ ( ~ ( SV4 @ SV373 @ SV499 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV67 @ SV94 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2671]) ).
thf(2854,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV499: $i,SV373: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV373 @ SV499 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV67 @ SV94 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2671]) ).
thf(2859,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV257: $i,SV213: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV213 @ SV257 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 @ SV94 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2675]) ).
thf(2865,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV503: $i,SV377: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV377 @ SV503 )
| $true )
| ~ ( ~ ( SV4 @ SV377 @ SV503 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV68 @ SV96 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2679]) ).
thf(2866,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV503: $i,SV377: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV377 @ SV503 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV68 @ SV96 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2679]) ).
thf(2871,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV258: $i,SV215: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV215 @ SV258 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 @ SV96 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2683]) ).
thf(2877,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV507: $i,SV381: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV381 @ SV507 )
| $true )
| ~ ( ~ ( SV4 @ SV381 @ SV507 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV69 @ SV98 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2687]) ).
thf(2878,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV507: $i,SV381: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV381 @ SV507 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV69 @ SV98 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2687]) ).
thf(2883,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV259: $i,SV217: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV217 @ SV259 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 @ SV98 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2691]) ).
thf(2889,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV511: $i,SV385: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV385 @ SV511 )
| $true )
| ~ ( ~ ( SV4 @ SV385 @ SV511 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV70 @ SV100 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2695]) ).
thf(2890,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV511: $i,SV385: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV385 @ SV511 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV70 @ SV100 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2695]) ).
thf(2895,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV260: $i,SV219: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV219 @ SV260 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 @ SV100 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2699]) ).
thf(2905,plain,
! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV515: $i,SV389: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV389 @ SV515 )
| $true )
| ~ ( ~ ( SV4 @ SV389 @ SV515 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2707]) ).
thf(2906,plain,
! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV515: $i,SV389: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV389 @ SV515 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2707]) ).
thf(2907,plain,
! [SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV541: $i] :
( ( ( ~ ~ ! [SY384: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV541 @ SY384 ) )
= $true )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV389 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2708]) ).
thf(2908,plain,
! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV442: $i] :
( ( ( ! [SY352: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV442 @ SY352 ) )
= $true )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2709]) ).
thf(2915,plain,
! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV261: $i,SV221: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV221 @ SV261 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2715]) ).
thf(2917,plain,
! [SV261: $i,SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV517: $i,SV329: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV329 @ SV517 ) )
= $false )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV221 @ SV261 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2717]) ).
thf(2920,plain,
! [SV222: $i,SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV545: $i] :
( ( ( ~ ~ ! [SY388: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV545 @ SY388 ) )
= $true )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV165 @ SV222 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2721]) ).
thf(2924,plain,
! [SV166: $i,SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV447: $i] :
( ( ( ! [SY356: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV447 @ SY356 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV117 @ SV166 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2726]) ).
thf(2934,plain,
! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV453: $i,SV334: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV334 @ SV453 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV334 @ SV453 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2736]) ).
thf(2935,plain,
! [SV453: $i,SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV549: $i] :
( ( ( ~ ~ ! [SY392: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV549 @ SY392 ) )
= $true )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV334 @ SV453 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2737]) ).
thf(2936,plain,
! [SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV454: $i] :
( ( ( ! [SY360: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV454 @ SY360 ) )
= $true )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV334 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2738]) ).
thf(2937,plain,
! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV520: $i,SV335: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV335 @ SV520 ) )
= $false )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2739]) ).
thf(2944,plain,
! [SV244: $i,SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV553: $i] :
( ( ( ~ ~ ! [SY396: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV553 @ SY396 ) )
= $true )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV193 @ SV244 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2746]) ).
thf(2948,plain,
! [SV195: $i,SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV459: $i] :
( ( ( ! [SY364: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV459 @ SY364 ) )
= $true )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV140 @ SV195 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2751]) ).
thf(2952,plain,
! [SV142: $i,SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV524: $i,SV340: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV340 @ SV524 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV104 @ SV142 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2755]) ).
thf(2962,plain,
! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV528: $i,SV400: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV400 @ SV528 )
| $true )
| ~ ( ~ ( SV4 @ SV400 @ SV528 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2763]) ).
thf(2963,plain,
! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV528: $i,SV400: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV400 @ SV528 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2763]) ).
thf(2964,plain,
! [SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV557: $i] :
( ( ( ~ ~ ! [SY400: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV557 @ SY400 ) )
= $true )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV400 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2764]) ).
thf(2965,plain,
! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV466: $i] :
( ( ( ! [SY368: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV466 @ SY368 ) )
= $true )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2765]) ).
thf(2972,plain,
! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV267: $i,SV227: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV227 @ SV267 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2771]) ).
thf(2974,plain,
! [SV267: $i,SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV530: $i,SV346: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ SV346 @ SV530 ) )
= $false )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV227 @ SV267 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2773]) ).
thf(2977,plain,
! [SV228: $i,SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV561: $i] :
( ( ( ~ ~ ! [SY404: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV561 @ SY404 ) )
= $true )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV170 @ SV228 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2777]) ).
thf(2981,plain,
! [SV171: $i,SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV471: $i] :
( ( ( ! [SY372: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV471 @ SY372 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV120 @ SV171 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2782]) ).
thf(2991,plain,
! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV477: $i,SV351: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV351 @ SV477 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV351 @ SV477 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2792]) ).
thf(2992,plain,
! [SV477: $i,SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV565: $i] :
( ( ( ~ ~ ! [SY408: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV565 @ SY408 ) )
= $true )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV351 @ SV477 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2793]) ).
thf(2993,plain,
! [SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV478: $i] :
( ( ( ! [SY376: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV478 @ SY376 ) )
= $true )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV351 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2794]) ).
thf(2994,plain,
! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV533: $i,SV352: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ SV352 @ SV533 ) )
= $false )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2795]) ).
thf(3001,plain,
! [SV251: $i,SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV569: $i] :
( ( ( ~ ~ ! [SY412: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV569 @ SY412 ) )
= $true )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV202 @ SV251 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2802]) ).
thf(3005,plain,
! [SV204: $i,SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV483: $i] :
( ( ( ! [SY380: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV483 @ SY380 ) )
= $true )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV147 @ SV204 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2807]) ).
thf(3009,plain,
! [SV149: $i,SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV537: $i,SV357: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ SV357 @ SV537 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV108 @ SV149 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2811]) ).
thf(3013,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV487: $i,SV361: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV361 @ SV487 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV361 @ SV487 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV64 @ SV88 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2817]) ).
thf(3017,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV491: $i,SV365: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV365 @ SV491 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV365 @ SV491 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV65 @ SV90 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2829]) ).
thf(3021,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV495: $i,SV369: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV369 @ SV495 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV369 @ SV495 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV66 @ SV92 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2841]) ).
thf(3025,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV499: $i,SV373: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV373 @ SV499 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV373 @ SV499 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV67 @ SV94 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2853]) ).
thf(3029,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV503: $i,SV377: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV377 @ SV503 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV377 @ SV503 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV68 @ SV96 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2865]) ).
thf(3033,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV507: $i,SV381: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV381 @ SV507 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV381 @ SV507 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV69 @ SV98 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2877]) ).
thf(3037,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV511: $i,SV385: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV385 @ SV511 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV385 @ SV511 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV70 @ SV100 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2889]) ).
thf(3047,plain,
! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV515: $i,SV389: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV389 @ SV515 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV389 @ SV515 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2905]) ).
thf(3048,plain,
! [SV515: $i,SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV389 @ SV515 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2906]) ).
thf(3049,plain,
! [SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV541: $i] :
( ( ( ~ ! [SY384: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV541 @ SY384 ) )
= $false )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV389 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2907]) ).
thf(3050,plain,
! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV573: $i,SV442: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV442 @ SV573 ) )
= $true )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2908]) ).
thf(3057,plain,
! [SV261: $i,SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV221 @ SV261 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2915]) ).
thf(3059,plain,
! [SV261: $i,SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV517: $i,SV329: $i] :
( ( ( parent_THFTYPE_IiioI @ SV329 @ SV517 )
= $true )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV221 @ SV261 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2917]) ).
thf(3062,plain,
! [SV222: $i,SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV545: $i] :
( ( ( ~ ! [SY388: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV545 @ SY388 ) )
= $false )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV165 @ SV222 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2920]) ).
thf(3066,plain,
! [SV166: $i,SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV577: $i,SV447: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV447 @ SV577 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV117 @ SV166 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2924]) ).
thf(3076,plain,
! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV453: $i,SV334: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV334 @ SV453 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV334 @ SV453 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2934]) ).
thf(3077,plain,
! [SV453: $i,SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV549: $i] :
( ( ( ~ ! [SY392: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV549 @ SY392 ) )
= $false )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV334 @ SV453 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2935]) ).
thf(3078,plain,
! [SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV581: $i,SV454: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV454 @ SV581 ) )
= $true )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV334 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2936]) ).
thf(3079,plain,
! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV520: $i,SV335: $i] :
( ( ( parent_THFTYPE_IiioI @ SV335 @ SV520 )
= $true )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2937]) ).
thf(3086,plain,
! [SV244: $i,SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV553: $i] :
( ( ( ~ ! [SY396: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV553 @ SY396 ) )
= $false )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV193 @ SV244 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2944]) ).
thf(3090,plain,
! [SV195: $i,SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV585: $i,SV459: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV459 @ SV585 ) )
= $true )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV140 @ SV195 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2948]) ).
thf(3094,plain,
! [SV142: $i,SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV524: $i,SV340: $i] :
( ( ( parent_THFTYPE_IiioI @ SV340 @ SV524 )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV104 @ SV142 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2952]) ).
thf(3104,plain,
! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV528: $i,SV400: $i,SV4: $i > $i > $o] :
( ( ( ~ ( ( SV4 @ SV400 @ SV528 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV4 @ SV400 @ SV528 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2962]) ).
thf(3105,plain,
! [SV528: $i,SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV400 @ SV528 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2963]) ).
thf(3106,plain,
! [SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV557: $i] :
( ( ( ~ ! [SY400: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV557 @ SY400 ) )
= $false )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV400 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2964]) ).
thf(3107,plain,
! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV589: $i,SV466: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV466 @ SV589 ) )
= $true )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2965]) ).
thf(3114,plain,
! [SV267: $i,SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV227 @ SV267 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2972]) ).
thf(3116,plain,
! [SV267: $i,SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV530: $i,SV346: $i] :
( ( ( likes_THFTYPE_IiioI @ SV346 @ SV530 )
= $true )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV227 @ SV267 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2974]) ).
thf(3119,plain,
! [SV228: $i,SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV561: $i] :
( ( ( ~ ! [SY404: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV561 @ SY404 ) )
= $false )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV170 @ SV228 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2977]) ).
thf(3123,plain,
! [SV171: $i,SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV593: $i,SV471: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV471 @ SV593 ) )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV120 @ SV171 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2981]) ).
thf(3133,plain,
! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV477: $i,SV351: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV351 @ SV477 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV351 @ SV477 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2991]) ).
thf(3134,plain,
! [SV477: $i,SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV565: $i] :
( ( ( ~ ! [SY408: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV565 @ SY408 ) )
= $false )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV351 @ SV477 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2992]) ).
thf(3135,plain,
! [SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV597: $i,SV478: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV478 @ SV597 ) )
= $true )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV351 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2993]) ).
thf(3136,plain,
! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV533: $i,SV352: $i] :
( ( ( likes_THFTYPE_IiioI @ SV352 @ SV533 )
= $true )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2994]) ).
thf(3143,plain,
! [SV251: $i,SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV569: $i] :
( ( ( ~ ! [SY412: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV569 @ SY412 ) )
= $false )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV202 @ SV251 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3001]) ).
thf(3147,plain,
! [SV204: $i,SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV601: $i,SV483: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV483 @ SV601 ) )
= $true )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV147 @ SV204 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3005]) ).
thf(3151,plain,
! [SV149: $i,SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV537: $i,SV357: $i] :
( ( ( likes_THFTYPE_IiioI @ SV357 @ SV537 )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV108 @ SV149 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3009]) ).
thf(3155,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV487: $i,SV361: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV361 @ SV487 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV361 @ SV487 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV64 @ SV88 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3013]) ).
thf(3159,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV491: $i,SV365: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV365 @ SV491 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV365 @ SV491 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV65 @ SV90 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3017]) ).
thf(3163,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV495: $i,SV369: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV369 @ SV495 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV369 @ SV495 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV66 @ SV92 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3021]) ).
thf(3167,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV499: $i,SV373: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV373 @ SV499 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV373 @ SV499 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV67 @ SV94 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3025]) ).
thf(3171,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV503: $i,SV377: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV377 @ SV503 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV377 @ SV503 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV68 @ SV96 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3029]) ).
thf(3175,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV507: $i,SV381: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV381 @ SV507 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV381 @ SV507 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV69 @ SV98 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3033]) ).
thf(3179,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV511: $i,SV385: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV385 @ SV511 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV385 @ SV511 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV70 @ SV100 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3037]) ).
thf(3189,plain,
! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV515: $i,SV389: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV389 @ SV515 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV389 @ SV515 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3047]) ).
thf(3190,plain,
! [SV515: $i,SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV605: $i] :
( ( ( ~ ~ ! [SY416: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV605 @ SY416 ) )
= $true )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV389 @ SV515 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3048]) ).
thf(3191,plain,
! [SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV541: $i] :
( ( ( ! [SY384: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV541 @ SY384 ) )
= $true )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV389 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3049]) ).
thf(3192,plain,
! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV573: $i,SV442: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV442 @ SV573 ) )
= $false )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3050]) ).
thf(3199,plain,
! [SV261: $i,SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV609: $i] :
( ( ( ~ ~ ! [SY420: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV609 @ SY420 ) )
= $true )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV221 @ SV261 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3057]) ).
thf(3203,plain,
! [SV222: $i,SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV545: $i] :
( ( ( ! [SY388: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV545 @ SY388 ) )
= $true )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV165 @ SV222 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3062]) ).
thf(3207,plain,
! [SV166: $i,SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV577: $i,SV447: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV447 @ SV577 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV117 @ SV166 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3066]) ).
thf(3218,plain,
! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV453: $i,SV334: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV334 @ SV453 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3076]) ).
thf(3219,plain,
! [SV453: $i,SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV549: $i] :
( ( ( ! [SY392: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV549 @ SY392 ) )
= $true )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV334 @ SV453 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3077]) ).
thf(3220,plain,
! [SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV581: $i,SV454: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV454 @ SV581 ) )
= $false )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV334 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3078]) ).
thf(3227,plain,
! [SV244: $i,SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV553: $i] :
( ( ( ! [SY396: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV553 @ SY396 ) )
= $true )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV193 @ SV244 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3086]) ).
thf(3231,plain,
! [SV195: $i,SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV585: $i,SV459: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV459 @ SV585 ) )
= $false )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV140 @ SV195 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3090]) ).
thf(3241,plain,
! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV528: $i,SV400: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV400 @ SV528 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV4 @ SV400 @ SV528 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3104]) ).
thf(3242,plain,
! [SV528: $i,SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV613: $i] :
( ( ( ~ ~ ! [SY424: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV613 @ SY424 ) )
= $true )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV400 @ SV528 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3105]) ).
thf(3243,plain,
! [SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV557: $i] :
( ( ( ! [SY400: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV557 @ SY400 ) )
= $true )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV400 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3106]) ).
thf(3244,plain,
! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV589: $i,SV466: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ SV466 @ SV589 ) )
= $false )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3107]) ).
thf(3251,plain,
! [SV267: $i,SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV617: $i] :
( ( ( ~ ~ ! [SY428: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV617 @ SY428 ) )
= $true )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV227 @ SV267 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3114]) ).
thf(3255,plain,
! [SV228: $i,SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV561: $i] :
( ( ( ! [SY404: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV561 @ SY404 ) )
= $true )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV170 @ SV228 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3119]) ).
thf(3259,plain,
! [SV171: $i,SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV593: $i,SV471: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ SV471 @ SV593 ) )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV120 @ SV171 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3123]) ).
thf(3270,plain,
! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV477: $i,SV351: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV351 @ SV477 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3133]) ).
thf(3271,plain,
! [SV477: $i,SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV565: $i] :
( ( ( ! [SY408: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV565 @ SY408 ) )
= $true )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV351 @ SV477 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3134]) ).
thf(3272,plain,
! [SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV597: $i,SV478: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ SV478 @ SV597 ) )
= $false )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV351 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3135]) ).
thf(3279,plain,
! [SV251: $i,SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV569: $i] :
( ( ( ! [SY412: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV569 @ SY412 ) )
= $true )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV202 @ SV251 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3143]) ).
thf(3283,plain,
! [SV204: $i,SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV601: $i,SV483: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ SV483 @ SV601 ) )
= $false )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV147 @ SV204 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3147]) ).
thf(3290,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV487: $i,SV361: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV361 @ SV487 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV64 @ SV88 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3155]) ).
thf(3298,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV491: $i,SV365: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV365 @ SV491 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV65 @ SV90 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3159]) ).
thf(3306,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV495: $i,SV369: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV369 @ SV495 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV66 @ SV92 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3163]) ).
thf(3314,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV499: $i,SV373: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV373 @ SV499 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV67 @ SV94 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3167]) ).
thf(3322,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV503: $i,SV377: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV377 @ SV503 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV68 @ SV96 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3171]) ).
thf(3330,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV507: $i,SV381: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV381 @ SV507 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV69 @ SV98 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3175]) ).
thf(3338,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV511: $i,SV385: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV385 @ SV511 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV70 @ SV100 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3179]) ).
thf(3352,plain,
! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV515: $i,SV389: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV389 @ SV515 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3189]) ).
thf(3353,plain,
! [SV515: $i,SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV605: $i] :
( ( ( ~ ! [SY416: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV605 @ SY416 ) )
= $false )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV389 @ SV515 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3190]) ).
thf(3354,plain,
! [SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV621: $i,SV541: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV541 @ SV621 ) )
= $true )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV389 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3191]) ).
thf(3355,plain,
! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV573: $i,SV442: $i] :
( ( ( parent_THFTYPE_IiioI @ SV442 @ SV573 )
= $true )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3192]) ).
thf(3363,plain,
! [SV261: $i,SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV609: $i] :
( ( ( ~ ! [SY420: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV609 @ SY420 ) )
= $false )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV221 @ SV261 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3199]) ).
thf(3367,plain,
! [SV222: $i,SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV625: $i,SV545: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV545 @ SV625 ) )
= $true )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV165 @ SV222 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3203]) ).
thf(3371,plain,
! [SV166: $i,SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV577: $i,SV447: $i] :
( ( ( parent_THFTYPE_IiioI @ SV447 @ SV577 )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV117 @ SV166 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3207]) ).
thf(3382,plain,
! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV453: $i,SV334: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV334 @ SV453 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3218]) ).
thf(3383,plain,
! [SV453: $i,SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV629: $i,SV549: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV549 @ SV629 ) )
= $true )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV334 @ SV453 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3219]) ).
thf(3384,plain,
! [SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV581: $i,SV454: $i] :
( ( ( parent_THFTYPE_IiioI @ SV454 @ SV581 )
= $true )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV334 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3220]) ).
thf(3391,plain,
! [SV244: $i,SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV633: $i,SV553: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV553 @ SV633 ) )
= $true )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV193 @ SV244 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3227]) ).
thf(3395,plain,
! [SV195: $i,SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV585: $i,SV459: $i] :
( ( ( parent_THFTYPE_IiioI @ SV459 @ SV585 )
= $true )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV140 @ SV195 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3231]) ).
thf(3408,plain,
! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV528: $i,SV400: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV4 @ SV400 @ SV528 )
| ~ $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3241]) ).
thf(3409,plain,
! [SV528: $i,SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV613: $i] :
( ( ( ~ ! [SY424: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV613 @ SY424 ) )
= $false )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV400 @ SV528 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3242]) ).
thf(3410,plain,
! [SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV637: $i,SV557: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV557 @ SV637 ) )
= $true )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV400 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3243]) ).
thf(3411,plain,
! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV589: $i,SV466: $i] :
( ( ( likes_THFTYPE_IiioI @ SV466 @ SV589 )
= $true )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3244]) ).
thf(3419,plain,
! [SV267: $i,SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV617: $i] :
( ( ( ~ ! [SY428: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV617 @ SY428 ) )
= $false )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV227 @ SV267 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3251]) ).
thf(3423,plain,
! [SV228: $i,SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV641: $i,SV561: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV561 @ SV641 ) )
= $true )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV170 @ SV228 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3255]) ).
thf(3427,plain,
! [SV171: $i,SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV593: $i,SV471: $i] :
( ( ( likes_THFTYPE_IiioI @ SV471 @ SV593 )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV120 @ SV171 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3259]) ).
thf(3438,plain,
! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV477: $i,SV351: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV351 @ SV477 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3270]) ).
thf(3439,plain,
! [SV477: $i,SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV645: $i,SV565: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV565 @ SV645 ) )
= $true )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV351 @ SV477 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3271]) ).
thf(3440,plain,
! [SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV597: $i,SV478: $i] :
( ( ( likes_THFTYPE_IiioI @ SV478 @ SV597 )
= $true )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV351 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3272]) ).
thf(3447,plain,
! [SV251: $i,SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV649: $i,SV569: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV569 @ SV649 ) )
= $true )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV202 @ SV251 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3279]) ).
thf(3451,plain,
! [SV204: $i,SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV601: $i,SV483: $i] :
( ( ( likes_THFTYPE_IiioI @ SV483 @ SV601 )
= $true )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV147 @ SV204 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3283]) ).
thf(3458,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV487: $i,SV361: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV361 @ SV487 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV64 @ SV88 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3290]) ).
thf(3466,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV491: $i,SV365: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV365 @ SV491 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV65 @ SV90 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3298]) ).
thf(3474,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV495: $i,SV369: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV369 @ SV495 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV66 @ SV92 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3306]) ).
thf(3482,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV499: $i,SV373: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV373 @ SV499 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV67 @ SV94 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3314]) ).
thf(3490,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV503: $i,SV377: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV377 @ SV503 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV68 @ SV96 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3322]) ).
thf(3498,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV507: $i,SV381: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV381 @ SV507 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV69 @ SV98 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3330]) ).
thf(3506,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV511: $i,SV385: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV385 @ SV511 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV70 @ SV100 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3338]) ).
thf(3518,plain,
! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV515: $i,SV389: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV389 @ SV515 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3352]) ).
thf(3519,plain,
! [SV515: $i,SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV605: $i] :
( ( ( ! [SY416: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV605 @ SY416 ) )
= $true )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV389 @ SV515 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3353]) ).
thf(3520,plain,
! [SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV621: $i,SV541: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV541 @ SV621 ) )
= $false )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV389 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3354]) ).
thf(3527,plain,
! [SV261: $i,SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV609: $i] :
( ( ( ! [SY420: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV609 @ SY420 ) )
= $true )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV221 @ SV261 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3363]) ).
thf(3531,plain,
! [SV222: $i,SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV625: $i,SV545: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV545 @ SV625 ) )
= $false )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV165 @ SV222 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3367]) ).
thf(3545,plain,
! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV453: $i,SV334: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV334 @ SV453 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3382]) ).
thf(3547,plain,
! [SV453: $i,SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV629: $i,SV549: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV549 @ SV629 ) )
= $false )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV334 @ SV453 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3383]) ).
thf(3555,plain,
! [SV244: $i,SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV633: $i,SV553: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV553 @ SV633 ) )
= $false )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV193 @ SV244 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3391]) ).
thf(3566,plain,
! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV528: $i,SV400: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV400 @ SV528 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3408]) ).
thf(3567,plain,
! [SV528: $i,SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV613: $i] :
( ( ( ! [SY424: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV613 @ SY424 ) )
= $true )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV400 @ SV528 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3409]) ).
thf(3568,plain,
! [SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV637: $i,SV557: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ SV557 @ SV637 ) )
= $false )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV400 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3410]) ).
thf(3575,plain,
! [SV267: $i,SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV617: $i] :
( ( ( ! [SY428: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV617 @ SY428 ) )
= $true )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV227 @ SV267 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3419]) ).
thf(3579,plain,
! [SV228: $i,SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV641: $i,SV561: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ SV561 @ SV641 ) )
= $false )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV170 @ SV228 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3423]) ).
thf(3593,plain,
! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV477: $i,SV351: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV351 @ SV477 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3438]) ).
thf(3595,plain,
! [SV477: $i,SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV645: $i,SV565: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ SV565 @ SV645 ) )
= $false )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV351 @ SV477 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3439]) ).
thf(3603,plain,
! [SV251: $i,SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV649: $i,SV569: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ SV569 @ SV649 ) )
= $false )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV202 @ SV251 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3447]) ).
thf(3615,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV487: $i,SV361: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV361 @ SV487 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV64 @ SV88 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3458]) ).
thf(3631,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV491: $i,SV365: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV365 @ SV491 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV65 @ SV90 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3466]) ).
thf(3647,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV495: $i,SV369: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV369 @ SV495 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV66 @ SV92 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3474]) ).
thf(3663,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV499: $i,SV373: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV373 @ SV499 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV67 @ SV94 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3482]) ).
thf(3679,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV503: $i,SV377: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV377 @ SV503 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV68 @ SV96 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3490]) ).
thf(3695,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV507: $i,SV381: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV381 @ SV507 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV69 @ SV98 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3498]) ).
thf(3711,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV511: $i,SV385: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV385 @ SV511 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV70 @ SV100 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3506]) ).
thf(3731,plain,
! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV515: $i,SV389: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV389 @ SV515 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3518]) ).
thf(3733,plain,
! [SV515: $i,SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV653: $i,SV605: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV605 @ SV653 ) )
= $true )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV389 @ SV515 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3519]) ).
thf(3734,plain,
! [SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV621: $i,SV541: $i] :
( ( ( parent_THFTYPE_IiioI @ SV541 @ SV621 )
= $true )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV389 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3520]) ).
thf(3743,plain,
! [SV261: $i,SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV657: $i,SV609: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV609 @ SV657 ) )
= $true )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV221 @ SV261 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3527]) ).
thf(3747,plain,
! [SV222: $i,SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV625: $i,SV545: $i] :
( ( ( parent_THFTYPE_IiioI @ SV545 @ SV625 )
= $true )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV165 @ SV222 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3531]) ).
thf(3761,plain,
! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV453: $i,SV334: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV334 @ SV453 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3545]) ).
thf(3763,plain,
! [SV453: $i,SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV629: $i,SV549: $i] :
( ( ( parent_THFTYPE_IiioI @ SV549 @ SV629 )
= $true )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV334 @ SV453 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3547]) ).
thf(3771,plain,
! [SV244: $i,SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV633: $i,SV553: $i] :
( ( ( parent_THFTYPE_IiioI @ SV553 @ SV633 )
= $true )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV193 @ SV244 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3555]) ).
thf(3787,plain,
! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV528: $i,SV400: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV400 @ SV528 ) )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3566]) ).
thf(3789,plain,
! [SV528: $i,SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV661: $i,SV613: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV613 @ SV661 ) )
= $true )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV400 @ SV528 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3567]) ).
thf(3790,plain,
! [SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV637: $i,SV557: $i] :
( ( ( likes_THFTYPE_IiioI @ SV557 @ SV637 )
= $true )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV400 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3568]) ).
thf(3799,plain,
! [SV267: $i,SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV665: $i,SV617: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV617 @ SV665 ) )
= $true )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV227 @ SV267 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3575]) ).
thf(3803,plain,
! [SV228: $i,SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV641: $i,SV561: $i] :
( ( ( likes_THFTYPE_IiioI @ SV561 @ SV641 )
= $true )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV170 @ SV228 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3579]) ).
thf(3817,plain,
! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV477: $i,SV351: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV351 @ SV477 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3593]) ).
thf(3819,plain,
! [SV477: $i,SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV645: $i,SV565: $i] :
( ( ( likes_THFTYPE_IiioI @ SV565 @ SV645 )
= $true )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV351 @ SV477 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3595]) ).
thf(3827,plain,
! [SV251: $i,SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV649: $i,SV569: $i] :
( ( ( likes_THFTYPE_IiioI @ SV569 @ SV649 )
= $true )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV202 @ SV251 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3603]) ).
thf(3839,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV487: $i,SV361: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV361 @ SV487 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV64 @ SV88 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3615]) ).
thf(3855,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV491: $i,SV365: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV365 @ SV491 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV65 @ SV90 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3631]) ).
thf(3871,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV495: $i,SV369: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV369 @ SV495 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV66 @ SV92 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3647]) ).
thf(3887,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV499: $i,SV373: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV373 @ SV499 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV67 @ SV94 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3663]) ).
thf(3903,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV503: $i,SV377: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV377 @ SV503 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV68 @ SV96 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3679]) ).
thf(3919,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV507: $i,SV381: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV381 @ SV507 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV69 @ SV98 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3695]) ).
thf(3935,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV511: $i,SV385: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV385 @ SV511 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV70 @ SV100 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3711]) ).
thf(3953,plain,
! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV515: $i,SV389: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV389 @ SV515 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3731]) ).
thf(3955,plain,
! [SV515: $i,SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV653: $i,SV605: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV605 @ SV653 ) )
= $false )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV389 @ SV515 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3733]) ).
thf(3963,plain,
! [SV261: $i,SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV657: $i,SV609: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV609 @ SV657 ) )
= $false )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV221 @ SV261 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3743]) ).
thf(3975,plain,
! [SV453: $i,SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV677: $i] :
( ( ( ~ ~ ! [SY440: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV677 @ SY440 ) )
= $true )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV334 @ SV453 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3761]) ).
thf(3993,plain,
! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV528: $i,SV400: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV400 @ SV528 )
= $true )
| ( $true = $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3787]) ).
thf(3995,plain,
! [SV528: $i,SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV661: $i,SV613: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ SV613 @ SV661 ) )
= $false )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV400 @ SV528 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3789]) ).
thf(4003,plain,
! [SV267: $i,SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV665: $i,SV617: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ SV617 @ SV665 ) )
= $false )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV227 @ SV267 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3799]) ).
thf(4015,plain,
! [SV477: $i,SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV693: $i] :
( ( ( ~ ~ ! [SY456: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV693 @ SY456 ) )
= $true )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV351 @ SV477 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3817]) ).
thf(4033,plain,
! [SV515: $i,SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV389 @ SV515 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3953]) ).
thf(4035,plain,
! [SV515: $i,SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV653: $i,SV605: $i] :
( ( ( parent_THFTYPE_IiioI @ SV605 @ SV653 )
= $true )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV389 @ SV515 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3955]) ).
thf(4043,plain,
! [SV261: $i,SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV657: $i,SV609: $i] :
( ( ( parent_THFTYPE_IiioI @ SV609 @ SV657 )
= $true )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV221 @ SV261 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3963]) ).
thf(4055,plain,
! [SV453: $i,SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV677: $i] :
( ( ( ~ ! [SY440: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV677 @ SY440 ) )
= $false )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV334 @ SV453 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3975]) ).
thf(4073,plain,
! [SV528: $i,SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
( ( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
= $true )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV400 @ SV528 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3993]) ).
thf(4075,plain,
! [SV528: $i,SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV661: $i,SV613: $i] :
( ( ( likes_THFTYPE_IiioI @ SV613 @ SV661 )
= $true )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV400 @ SV528 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3995]) ).
thf(4083,plain,
! [SV267: $i,SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV665: $i,SV617: $i] :
( ( ( likes_THFTYPE_IiioI @ SV617 @ SV665 )
= $true )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV227 @ SV267 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4003]) ).
thf(4095,plain,
! [SV477: $i,SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV693: $i] :
( ( ( ~ ! [SY456: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV693 @ SY456 ) )
= $false )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV351 @ SV477 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4015]) ).
thf(4111,plain,
! [SV515: $i,SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV709: $i] :
( ( ( ~ ~ ! [SY472: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV709 @ SY472 ) )
= $true )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV389 @ SV515 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4033]) ).
thf(4127,plain,
! [SV453: $i,SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV677: $i] :
( ( ( ! [SY440: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV677 @ SY440 ) )
= $true )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV334 @ SV453 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4055]) ).
thf(4143,plain,
! [SV528: $i,SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV725: $i] :
( ( ( ~ ~ ! [SY488: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV725 @ SY488 ) )
= $true )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV400 @ SV528 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4073]) ).
thf(4159,plain,
! [SV477: $i,SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV693: $i] :
( ( ( ! [SY456: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV693 @ SY456 ) )
= $true )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV351 @ SV477 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4095]) ).
thf(4175,plain,
! [SV515: $i,SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV709: $i] :
( ( ( ~ ! [SY472: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV709 @ SY472 ) )
= $false )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV389 @ SV515 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4111]) ).
thf(4191,plain,
! [SV453: $i,SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV741: $i,SV677: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV677 @ SV741 ) )
= $true )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV334 @ SV453 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4127]) ).
thf(4207,plain,
! [SV528: $i,SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV725: $i] :
( ( ( ~ ! [SY488: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV725 @ SY488 ) )
= $false )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV400 @ SV528 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4143]) ).
thf(4223,plain,
! [SV477: $i,SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV757: $i,SV693: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV693 @ SV757 ) )
= $true )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV351 @ SV477 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4159]) ).
thf(4239,plain,
! [SV515: $i,SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV709: $i] :
( ( ( ! [SY472: $i] :
~ ~ ( parent_THFTYPE_IiioI @ SV709 @ SY472 ) )
= $true )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV389 @ SV515 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4175]) ).
thf(4255,plain,
! [SV453: $i,SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV741: $i,SV677: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV677 @ SV741 ) )
= $false )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV334 @ SV453 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4191]) ).
thf(4271,plain,
! [SV528: $i,SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV725: $i] :
( ( ( ! [SY488: $i] :
~ ~ ( likes_THFTYPE_IiioI @ SV725 @ SY488 ) )
= $true )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV400 @ SV528 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4207]) ).
thf(4287,plain,
! [SV477: $i,SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV757: $i,SV693: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ SV693 @ SV757 ) )
= $false )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV351 @ SV477 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4223]) ).
thf(4303,plain,
! [SV515: $i,SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV773: $i,SV709: $i] :
( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV709 @ SV773 ) )
= $true )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV389 @ SV515 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4239]) ).
thf(4319,plain,
! [SV453: $i,SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV741: $i,SV677: $i] :
( ( ( parent_THFTYPE_IiioI @ SV677 @ SV741 )
= $true )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV334 @ SV453 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4255]) ).
thf(4335,plain,
! [SV528: $i,SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV789: $i,SV725: $i] :
( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV725 @ SV789 ) )
= $true )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV400 @ SV528 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4271]) ).
thf(4351,plain,
! [SV477: $i,SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV757: $i,SV693: $i] :
( ( ( likes_THFTYPE_IiioI @ SV693 @ SV757 )
= $true )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV351 @ SV477 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4287]) ).
thf(4367,plain,
! [SV515: $i,SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV773: $i,SV709: $i] :
( ( ( ~ ( parent_THFTYPE_IiioI @ SV709 @ SV773 ) )
= $false )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV389 @ SV515 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4303]) ).
thf(4383,plain,
! [SV528: $i,SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV789: $i,SV725: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ SV725 @ SV789 ) )
= $false )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV400 @ SV528 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4335]) ).
thf(4399,plain,
! [SV515: $i,SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV773: $i,SV709: $i] :
( ( ( parent_THFTYPE_IiioI @ SV709 @ SV773 )
= $true )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV389 @ SV515 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4367]) ).
thf(4415,plain,
! [SV528: $i,SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV789: $i,SV725: $i] :
( ( ( likes_THFTYPE_IiioI @ SV725 @ SV789 )
= $true )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( $true = $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV4 @ SV400 @ SV528 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4383]) ).
thf(4421,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV487: $i,SV361: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV361 @ SV487 )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6 @ SV64 @ SV88 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[3839]) ).
thf(4422,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV487: $i,SV361: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV361 @ SV487 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6 @ SV64 @ SV88 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2818]) ).
thf(4423,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV361: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV361 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6 @ SV64 @ SV88 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2452]) ).
thf(4424,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6 @ SV64 @ SV88 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2095]) ).
thf(4425,plain,
! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV254: $i,SV207: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV207 @ SV254 )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 @ SV88 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2823]) ).
thf(4426,plain,
! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV208: $i,SV151: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV151 @ SV208 )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV64 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2459]) ).
thf(4427,plain,
! [SV6: $i > $i > $o,SV5: $i,SV152: $i,SV110: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV110 @ SV152 )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2103]) ).
thf(4428,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6 @ ( sK39_SV31 @ SV6 ) @ ( sK66_SV42 @ SV6 ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(sim,[status(thm)],[1103]) ).
thf(4429,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4 @ ( sK9_SV9 @ SV4 ) @ ( sK24_SV20 @ SV4 ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(sim,[status(thm)],[856]) ).
thf(4430,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV491: $i,SV365: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV365 @ SV491 )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6 @ SV65 @ SV90 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[3855]) ).
thf(4431,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV491: $i,SV365: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV365 @ SV491 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6 @ SV65 @ SV90 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2830]) ).
thf(4432,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV365: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV365 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6 @ SV65 @ SV90 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2466]) ).
thf(4433,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6 @ SV65 @ SV90 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2110]) ).
thf(4434,plain,
! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV255: $i,SV209: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV209 @ SV255 )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 @ SV90 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2835]) ).
thf(4435,plain,
! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV210: $i,SV153: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV153 @ SV210 )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV65 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2473]) ).
thf(4436,plain,
! [SV6: $i > $i > $o,SV5: $i,SV154: $i,SV111: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV111 @ SV154 )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2118]) ).
thf(4437,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6 @ ( sK40_SV32 @ SV6 ) @ ( sK67_SV43 @ SV6 ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(sim,[status(thm)],[1108]) ).
thf(4438,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4 @ ( sK10_SV10 @ SV4 ) @ ( sK25_SV21 @ SV4 ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(sim,[status(thm)],[861]) ).
thf(4439,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV495: $i,SV369: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV369 @ SV495 )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6 @ SV66 @ SV92 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[3871]) ).
thf(4440,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV495: $i,SV369: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV369 @ SV495 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6 @ SV66 @ SV92 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2842]) ).
thf(4441,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV369: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV369 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6 @ SV66 @ SV92 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2480]) ).
thf(4442,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6 @ SV66 @ SV92 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2125]) ).
thf(4443,plain,
! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV256: $i,SV211: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV211 @ SV256 )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 @ SV92 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2847]) ).
thf(4444,plain,
! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV212: $i,SV155: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV155 @ SV212 )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV66 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2487]) ).
thf(4445,plain,
! [SV6: $i > $i > $o,SV5: $i,SV156: $i,SV112: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV112 @ SV156 )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2133]) ).
thf(4446,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6 @ ( sK41_SV33 @ SV6 ) @ ( sK68_SV44 @ SV6 ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(sim,[status(thm)],[1113]) ).
thf(4447,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4 @ ( sK11_SV11 @ SV4 ) @ ( sK26_SV22 @ SV4 ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(sim,[status(thm)],[866]) ).
thf(4448,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV499: $i,SV373: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV373 @ SV499 )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6 @ SV67 @ SV94 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[3887]) ).
thf(4449,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV499: $i,SV373: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV373 @ SV499 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6 @ SV67 @ SV94 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2854]) ).
thf(4450,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV373: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV373 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6 @ SV67 @ SV94 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2494]) ).
thf(4451,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6 @ SV67 @ SV94 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2140]) ).
thf(4452,plain,
! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV257: $i,SV213: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV213 @ SV257 )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 @ SV94 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2859]) ).
thf(4453,plain,
! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV214: $i,SV157: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV157 @ SV214 )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV67 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2501]) ).
thf(4454,plain,
! [SV6: $i > $i > $o,SV5: $i,SV158: $i,SV113: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV113 @ SV158 )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2148]) ).
thf(4455,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6 @ ( sK42_SV34 @ SV6 ) @ ( sK69_SV45 @ SV6 ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(sim,[status(thm)],[1118]) ).
thf(4456,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4 @ ( sK12_SV12 @ SV4 ) @ ( sK27_SV23 @ SV4 ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(sim,[status(thm)],[871]) ).
thf(4457,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV503: $i,SV377: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV377 @ SV503 )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6 @ SV68 @ SV96 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[3903]) ).
thf(4458,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV503: $i,SV377: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV377 @ SV503 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6 @ SV68 @ SV96 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2866]) ).
thf(4459,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV377: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV377 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6 @ SV68 @ SV96 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2508]) ).
thf(4460,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6 @ SV68 @ SV96 )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2155]) ).
thf(4461,plain,
! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV258: $i,SV215: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV215 @ SV258 )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 @ SV96 )
= $true )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2871]) ).
thf(4462,plain,
! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV216: $i,SV159: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV159 @ SV216 )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV68 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2515]) ).
thf(4463,plain,
! [SV6: $i > $i > $o,SV5: $i,SV160: $i,SV114: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV114 @ SV160 )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2163]) ).
thf(4464,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6 @ ( sK43_SV35 @ SV6 ) @ ( sK70_SV46 @ SV6 ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(sim,[status(thm)],[1123]) ).
thf(4465,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4 @ ( sK13_SV13 @ SV4 ) @ ( sK28_SV24 @ SV4 ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(sim,[status(thm)],[876]) ).
thf(4466,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV507: $i,SV381: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV381 @ SV507 )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6 @ SV69 @ SV98 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[3919]) ).
thf(4467,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV507: $i,SV381: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV381 @ SV507 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6 @ SV69 @ SV98 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2878]) ).
thf(4468,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV381: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV381 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6 @ SV69 @ SV98 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2522]) ).
thf(4469,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6 @ SV69 @ SV98 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2170]) ).
thf(4470,plain,
! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV259: $i,SV217: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV217 @ SV259 )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 @ SV98 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2883]) ).
thf(4471,plain,
! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV218: $i,SV161: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV161 @ SV218 )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV69 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2529]) ).
thf(4472,plain,
! [SV6: $i > $i > $o,SV5: $i,SV162: $i,SV115: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV115 @ SV162 )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2178]) ).
thf(4473,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6 @ ( sK44_SV36 @ SV6 ) @ ( sK71_SV47 @ SV6 ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(sim,[status(thm)],[1128]) ).
thf(4474,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4 @ ( sK14_SV14 @ SV4 ) @ ( sK29_SV25 @ SV4 ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(sim,[status(thm)],[881]) ).
thf(4475,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV511: $i,SV385: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV385 @ SV511 )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6 @ SV70 @ SV100 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[3935]) ).
thf(4476,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV511: $i,SV385: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV385 @ SV511 )
= $true )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6 @ SV70 @ SV100 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2890]) ).
thf(4477,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV385: $i,SV4: $i > $i > $o] :
( ( ( ( SV4 @ SV385 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6 @ SV70 @ SV100 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2536]) ).
thf(4478,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
( ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6 @ SV70 @ SV100 )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2185]) ).
thf(4479,plain,
! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV260: $i,SV219: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV219 @ SV260 )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 @ SV100 )
= $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2895]) ).
thf(4480,plain,
! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV220: $i,SV163: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV163 @ SV220 )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( ( SV6 @ SV70 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2543]) ).
thf(4481,plain,
! [SV6: $i > $i > $o,SV5: $i,SV164: $i,SV116: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV116 @ SV164 )
= $true )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[2193]) ).
thf(4482,plain,
! [SV6: $i > $i > $o] :
( ( ( SV6 @ ( sK45_SV37 @ SV6 ) @ ( sK72_SV48 @ SV6 ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(sim,[status(thm)],[1133]) ).
thf(4483,plain,
! [SV4: $i > $i > $o] :
( ( ( SV4 @ ( sK15_SV15 @ SV4 ) @ ( sK30_SV26 @ SV4 ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ) ),
inference(sim,[status(thm)],[886]) ).
thf(4484,plain,
! [SV515: $i,SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV773: $i,SV709: $i] :
( ( ( parent_THFTYPE_IiioI @ SV709 @ SV773 )
= $true )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4 @ SV389 @ SV515 )
= $true ) ),
inference(sim,[status(thm)],[4399]) ).
thf(4485,plain,
! [SV515: $i,SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV653: $i,SV605: $i] :
( ( ( parent_THFTYPE_IiioI @ SV605 @ SV653 )
= $true )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV389 @ SV515 )
= $true )
= $true ) ),
inference(sim,[status(thm)],[4035]) ).
thf(4486,plain,
! [SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV621: $i,SV541: $i] :
( ( ( parent_THFTYPE_IiioI @ SV541 @ SV621 )
= $true )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV389 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(sim,[status(thm)],[3734]) ).
thf(4487,plain,
! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV573: $i,SV442: $i] :
( ( ( parent_THFTYPE_IiioI @ SV442 @ SV573 )
= $true )
| ( ( SV6 @ SV71 @ SV102 )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(sim,[status(thm)],[3355]) ).
thf(4488,plain,
! [SV261: $i,SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV657: $i,SV609: $i] :
( ( ( parent_THFTYPE_IiioI @ SV609 @ SV657 )
= $true )
| ( ( ( SV6 @ SV71 @ SV102 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4 @ SV221 @ SV261 )
= $true ) ),
inference(sim,[status(thm)],[4043]) ).
thf(4489,plain,
! [SV222: $i,SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV625: $i,SV545: $i] :
( ( ( parent_THFTYPE_IiioI @ SV545 @ SV625 )
= $true )
| ( ( ( SV6 @ SV71 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4 @ SV165 @ SV222 )
= $true ) ),
inference(sim,[status(thm)],[3747]) ).
thf(4490,plain,
! [SV166: $i,SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV577: $i,SV447: $i] :
( ( ( parent_THFTYPE_IiioI @ SV447 @ SV577 )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4 @ SV117 @ SV166 )
= $true ) ),
inference(sim,[status(thm)],[3371]) ).
thf(4491,plain,
! [SV6: $i > $i > $o] :
( ( ( parent_THFTYPE_IiioI @ ( sK135_SX0 @ SV6 ) @ ( sK143_SY193 @ SV6 ) )
= $false )
| ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
= $false ) ),
inference(sim,[status(thm)],[1881]) ).
thf(4492,plain,
! [SV4: $i > $i > $o] :
( ( ( parent_THFTYPE_IiioI @ ( sK121_SX0 @ SV4 ) @ ( sK136_SY146 @ SV4 ) )
= $false )
| ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
= $false ) ),
inference(sim,[status(thm)],[1504]) ).
thf(4493,plain,
! [SV6: $i > $i > $o] :
( ( ( parent_THFTYPE_IiioI @ ( sK126_SX0 @ SV6 ) @ ( sK140_SY162 @ SV6 ) )
= $false )
| ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
= $false ) ),
inference(sim,[status(thm)],[1631]) ).
thf(4494,plain,
! [SV4: $i > $i > $o] :
( ( ( parent_THFTYPE_IiioI @ ( sK106_SX0 @ SV4 ) @ ( sK127_SY129 @ SV4 ) )
= $false )
| ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
= $false ) ),
inference(sim,[status(thm)],[1308]) ).
thf(4495,plain,
! [SV453: $i,SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV741: $i,SV677: $i] :
( ( ( parent_THFTYPE_IiioI @ SV677 @ SV741 )
= $true )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4 @ SV334 @ SV453 )
= $true ) ),
inference(sim,[status(thm)],[4319]) ).
thf(4496,plain,
! [SV453: $i,SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV629: $i,SV549: $i] :
( ( ( parent_THFTYPE_IiioI @ SV549 @ SV629 )
= $true )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV334 @ SV453 )
= $true )
= $true ) ),
inference(sim,[status(thm)],[3763]) ).
thf(4497,plain,
! [SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV581: $i,SV454: $i] :
( ( ( parent_THFTYPE_IiioI @ SV454 @ SV581 )
= $true )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV334 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(sim,[status(thm)],[3384]) ).
thf(4498,plain,
! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV520: $i,SV335: $i] :
( ( ( parent_THFTYPE_IiioI @ SV335 @ SV520 )
= $true )
| ( ( SV6 @ SV61 @ SV83 )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(sim,[status(thm)],[3079]) ).
thf(4499,plain,
! [SV244: $i,SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV633: $i,SV553: $i] :
( ( ( parent_THFTYPE_IiioI @ SV553 @ SV633 )
= $true )
| ( ( ( SV6 @ SV61 @ SV83 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4 @ SV193 @ SV244 )
= $true ) ),
inference(sim,[status(thm)],[3771]) ).
thf(4500,plain,
! [SV195: $i,SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV585: $i,SV459: $i] :
( ( ( parent_THFTYPE_IiioI @ SV459 @ SV585 )
= $true )
| ( ( ( SV6 @ SV61 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4 @ SV140 @ SV195 )
= $true ) ),
inference(sim,[status(thm)],[3395]) ).
thf(4501,plain,
! [SV142: $i,SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV524: $i,SV340: $i] :
( ( ( parent_THFTYPE_IiioI @ SV340 @ SV524 )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4 @ SV104 @ SV142 )
= $true ) ),
inference(sim,[status(thm)],[3094]) ).
thf(4502,plain,
! [SV528: $i,SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV789: $i,SV725: $i] :
( ( ( likes_THFTYPE_IiioI @ SV725 @ SV789 )
= $true )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4 @ SV400 @ SV528 )
= $true ) ),
inference(sim,[status(thm)],[4415]) ).
thf(4503,plain,
! [SV528: $i,SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV661: $i,SV613: $i] :
( ( ( likes_THFTYPE_IiioI @ SV613 @ SV661 )
= $true )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV400 @ SV528 )
= $true )
= $true ) ),
inference(sim,[status(thm)],[4075]) ).
thf(4504,plain,
! [SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV637: $i,SV557: $i] :
( ( ( likes_THFTYPE_IiioI @ SV557 @ SV637 )
= $true )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV400 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(sim,[status(thm)],[3790]) ).
thf(4505,plain,
! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV589: $i,SV466: $i] :
( ( ( likes_THFTYPE_IiioI @ SV466 @ SV589 )
= $true )
| ( ( SV6 @ SV73 @ SV106 )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(sim,[status(thm)],[3411]) ).
thf(4506,plain,
! [SV267: $i,SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV665: $i,SV617: $i] :
( ( ( likes_THFTYPE_IiioI @ SV617 @ SV665 )
= $true )
| ( ( ( SV6 @ SV73 @ SV106 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4 @ SV227 @ SV267 )
= $true ) ),
inference(sim,[status(thm)],[4083]) ).
thf(4507,plain,
! [SV228: $i,SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV641: $i,SV561: $i] :
( ( ( likes_THFTYPE_IiioI @ SV561 @ SV641 )
= $true )
| ( ( ( SV6 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4 @ SV170 @ SV228 )
= $true ) ),
inference(sim,[status(thm)],[3803]) ).
thf(4508,plain,
! [SV171: $i,SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV593: $i,SV471: $i] :
( ( ( likes_THFTYPE_IiioI @ SV471 @ SV593 )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4 @ SV120 @ SV171 )
= $true ) ),
inference(sim,[status(thm)],[3427]) ).
thf(4509,plain,
! [SV6: $i > $i > $o] :
( ( ( likes_THFTYPE_IiioI @ ( sK137_SX0 @ SV6 ) @ ( sK144_SY196 @ SV6 ) )
= $false )
| ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
= $false ) ),
inference(sim,[status(thm)],[1915]) ).
thf(4510,plain,
! [SV4: $i > $i > $o] :
( ( ( likes_THFTYPE_IiioI @ ( sK122_SX0 @ SV4 ) @ ( sK138_SY150 @ SV4 ) )
= $false )
| ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
= $false ) ),
inference(sim,[status(thm)],[1534]) ).
thf(4511,plain,
! [SV6: $i > $i > $o] :
( ( ( likes_THFTYPE_IiioI @ ( sK131_SX0 @ SV6 ) @ ( sK142_SY166 @ SV6 ) )
= $false )
| ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
= $false ) ),
inference(sim,[status(thm)],[1664]) ).
thf(4512,plain,
! [SV4: $i > $i > $o] :
( ( ( likes_THFTYPE_IiioI @ ( sK112_SX0 @ SV4 ) @ ( sK132_SY133 @ SV4 ) )
= $false )
| ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
= $false ) ),
inference(sim,[status(thm)],[1334]) ).
thf(4513,plain,
! [SV477: $i,SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV757: $i,SV693: $i] :
( ( ( likes_THFTYPE_IiioI @ SV693 @ SV757 )
= $true )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4 @ SV351 @ SV477 )
= $true ) ),
inference(sim,[status(thm)],[4351]) ).
thf(4514,plain,
! [SV477: $i,SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV645: $i,SV565: $i] :
( ( ( likes_THFTYPE_IiioI @ SV565 @ SV645 )
= $true )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV351 @ SV477 )
= $true )
= $true ) ),
inference(sim,[status(thm)],[3819]) ).
thf(4515,plain,
! [SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV597: $i,SV478: $i] :
( ( ( likes_THFTYPE_IiioI @ SV478 @ SV597 )
= $true )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV4 @ SV351 )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(sim,[status(thm)],[3440]) ).
thf(4516,plain,
! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV533: $i,SV352: $i] :
( ( ( likes_THFTYPE_IiioI @ SV352 @ SV533 )
= $true )
| ( ( SV6 @ SV63 @ SV86 )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(sim,[status(thm)],[3136]) ).
thf(4517,plain,
! [SV251: $i,SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV649: $i,SV569: $i] :
( ( ( likes_THFTYPE_IiioI @ SV569 @ SV649 )
= $true )
| ( ( ( SV6 @ SV63 @ SV86 )
= $true )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4 @ SV202 @ SV251 )
= $true ) ),
inference(sim,[status(thm)],[3827]) ).
thf(4518,plain,
! [SV204: $i,SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV601: $i,SV483: $i] :
( ( ( likes_THFTYPE_IiioI @ SV483 @ SV601 )
= $true )
| ( ( ( SV6 @ SV63 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4 @ SV147 @ SV204 )
= $true ) ),
inference(sim,[status(thm)],[3451]) ).
thf(4519,plain,
! [SV149: $i,SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV537: $i,SV357: $i] :
( ( ( likes_THFTYPE_IiioI @ SV357 @ SV537 )
= $true )
| ( ( SV6
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
= $false )
| ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV4 @ SV108 @ SV149 )
= $true ) ),
inference(sim,[status(thm)],[3151]) ).
thf(4520,plain,
! [SV795: $i > $i > $o] :
( ( ( SV795
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(rename,[status(thm)],[209]) ).
thf(4533,plain,
! [SV795: $i > $i > $o] :
( ( ( ! [SV796: $i] :
( ( SV795 @ SV796 )
= ( ^ [SX1: $i] : $true ) ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[4520]) ).
thf(4535,plain,
! [SV795: $i > $i > $o] :
( ( ( ( SV795 @ ( sK145_SV796 @ SV795 ) )
= ( ^ [SX1: $i] : $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4533]) ).
thf(4536,plain,
! [SV795: $i > $i > $o] :
( ( ( ! [SV797: $i] :
( ( SV795 @ ( sK145_SV796 @ SV795 ) @ SV797 )
= $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[4535]) ).
thf(4538,plain,
! [SV795: $i > $i > $o] :
( ( ( ( SV795 @ ( sK145_SV796 @ SV795 ) @ ( sK146_SV797 @ SV795 ) )
= $true )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4536]) ).
thf(4539,plain,
! [SV795: $i > $i > $o] :
( ( ( ~ ( ( SV795 @ ( sK145_SV796 @ SV795 ) @ ( sK146_SV797 @ SV795 ) )
| $true )
| ~ ( ~ ( SV795 @ ( sK145_SV796 @ SV795 ) @ ( sK146_SV797 @ SV795 ) )
| ~ $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[4538]) ).
thf(4540,plain,
! [SV795: $i > $i > $o] :
( ( ( ( SV795 @ ( sK145_SV796 @ SV795 ) @ ( sK146_SV797 @ SV795 ) )
= $true )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[4538]) ).
thf(4542,plain,
! [SV795: $i > $i > $o] :
( ( ( ~ ( ~ ( SV795 @ ( sK145_SV796 @ SV795 ) @ ( sK146_SV797 @ SV795 ) )
| ~ $true ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4539]) ).
thf(4544,plain,
! [SV795: $i > $i > $o] :
( ( ( ~ ( SV795 @ ( sK145_SV796 @ SV795 ) @ ( sK146_SV797 @ SV795 ) )
| ~ $true )
= $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4542]) ).
thf(4546,plain,
! [SV795: $i > $i > $o] :
( ( ( ~ ( SV795 @ ( sK145_SV796 @ SV795 ) @ ( sK146_SV797 @ SV795 ) ) )
= $true )
| ( ( ~ $true ) = $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4544]) ).
thf(4547,plain,
! [SV795: $i > $i > $o] :
( ( ( SV795 @ ( sK145_SV796 @ SV795 ) @ ( sK146_SV797 @ SV795 ) )
= $false )
| ( ( ~ $true ) = $true )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4546]) ).
thf(4548,plain,
! [SV795: $i > $i > $o] :
( ( $true = $false )
| ( ( SV795 @ ( sK145_SV796 @ SV795 ) @ ( sK146_SV797 @ SV795 ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4547]) ).
thf(4549,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(extuni,[status(esa)],[4540:[bind(SV795,$thf( ^ [SX0: $i] : ^ [SX1: $i] : $true ))]]) ).
thf(4552,plain,
! [SV795: $i > $i > $o] :
( ( ( SV795 @ ( sK145_SV796 @ SV795 ) @ ( sK146_SV797 @ SV795 ) )
= $false )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ) ),
inference(sim,[status(thm)],[4548]) ).
thf(4554,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[23,4552,4549,4519,4518,4517,4516,4515,4514,4513,4512,4511,4510,4509,4508,4507,4506,4505,4504,4503,4502,4501,4500,4499,4498,4497,4496,4495,4494,4493,4492,4491,4490,4489,4488,4487,4486,4485,4484,4483,4482,4481,4480,4479,4478,4477,4476,4475,4474,4473,4472,4471,4470,4469,4468,4467,4466,4465,4464,4463,4462,4461,4460,4459,4458,4457,4456,4455,4454,4453,4452,4451,4450,4449,4448,4447,4446,4445,4444,4443,4442,4441,4440,4439,4438,4437,4436,4435,4434,4433,4432,4431,4430,4429,4428,4427,4426,4425,4424,4423,4422,4421,3116,3059,2804,2779,2774,2748,2723,2718,2442,2437,2421,2416,2410,2393,2388,2372,2367,2361,2089,2084,2080,2068,2062,2049,2044,2040,2028,2022,1861,1852,1843,1834,1825,1816,1807,1801,1797,1784,1768,1764,1751,1612,1610,1603,1601,1594,1592,1585,1583,1576,1574,1567,1565,1558,1556,1550,1520,1401,1399,1397,1393,1391,1389,1385,1383,1381,1377,1375,1373,1369,1367,1365,1361,1359,1357,1353,1351,1349,1329,1303,1221,1219,1215,1213,1209,1207,1203,1201,1197,1195,1191,1189,1185,1183,1170,1165,1147,1142,1088,1081,1080,1065,1058,1057,1051,1046,1041,1036,1031,1026,1021,1011,1004,988,981,933,926,925,924,908,901,900,899,846,821,764,753,739,728,714,709,704,699,694,689,684,608,586,563,558,553,548,543,538,533,490,487,486,484,481,480,478,475,474,472,469,468,466,463,462,460,457,456,454,451,450,413,407,401,395,389,383,377,344,339,334,329,324,319,314,239,234,229,224,219,214,46,34,33,31,30,29,27,26,25]) ).
thf(4555,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[4554]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR132^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.18 % Computer : n004.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Oct 6 18:55:24 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.70/4.39
% 24.70/4.39 No.of.Axioms: 9
% 24.70/4.39
% 24.70/4.39 Length.of.Defs: 0
% 24.70/4.39
% 24.70/4.39 Contains.Choice.Funs: false
% 24.70/4.39 .......................................................................
% 24.70/4.39
% 24.70/4.39 ********************************
% 24.70/4.39 * All subproblems solved! *
% 24.70/4.39 ********************************
% 24.70/4.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:9,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:4554,loop_count:15,foatp_calls:2,translation:fof_full)
% 24.70/4.39
% 24.70/4.39 %**** Beginning of derivation protocol ****
% 24.70/4.39 % SZS output start CNFRefutation
% See solution above
% 4.35/4.41
% 4.35/4.41 %**** End of derivation protocol ****
% 4.35/4.41 %**** no. of clauses in derivation: 2327 ****
% 4.35/4.41 %**** clause counter: 4554 ****
% 4.35/4.41
% 4.35/4.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:9,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:4554,loop_count:15,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------