%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : KRS159+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n002.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 : Sun Sep 27 07:44:47 AM UTC 2026
% Result : Theorem 16.83s 20.17s
% Output : Refutation 17.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 277
% Syntax : Number of formulae : 556 ( 255 unt; 0 typ; 0 def)
% Number of atoms : 1408 ( 0 equ; 0 cnn)
% Maximal formula atoms : 56 ( 2 avg)
% Number of connectives : 2679 ( 116 ~; 0 |; 432 &;1711 @)
% ( 122 <=>; 298 =>; 0 <=; 0 <~>)
% Maximal formula depth : 54 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 167 ( 166 usr; 12 con; 0-2 aty)
% Number of variables : 532 ( 0 ^; 304 !; 228 ?; 532 :)
% Comments :
%------------------------------------------------------------------------------
thf(cowlThing_decl,type,
cowlThing: $i > $o ).
thf(cowlNothing_decl,type,
cowlNothing: $i > $o ).
thf(xsd_string_decl,type,
xsd_string: $i > $o ).
thf(xsd_integer_decl,type,
xsd_integer: $i > $o ).
thf(cC108_decl,type,
cC108: $i > $o ).
thf(iV21026_decl,type,
iV21026: $i ).
thf(cC40_decl,type,
cC40: $i > $o ).
thf(cC136_decl,type,
cC136: $i > $o ).
thf(cC10_decl,type,
cC10: $i > $o ).
thf(cC90_decl,type,
cC90: $i > $o ).
thf(cC58_decl,type,
cC58: $i > $o ).
thf(cC56_decl,type,
cC56: $i > $o ).
thf(cC158_decl,type,
cC158: $i > $o ).
thf(cC110_decl,type,
cC110: $i > $o ).
thf(cC22_decl,type,
cC22: $i > $o ).
thf(cC60_decl,type,
cC60: $i > $o ).
thf(cC154_decl,type,
cC154: $i > $o ).
thf(cC180_decl,type,
cC180: $i > $o ).
thf(cC78_decl,type,
cC78: $i > $o ).
thf(cC16_decl,type,
cC16: $i > $o ).
thf(cC132_decl,type,
cC132: $i > $o ).
thf(cC114_decl,type,
cC114: $i > $o ).
thf(cC20_decl,type,
cC20: $i > $o ).
thf(cC84_decl,type,
cC84: $i > $o ).
thf(cC38_decl,type,
cC38: $i > $o ).
thf(cC138_decl,type,
cC138: $i > $o ).
thf(cC174_decl,type,
cC174: $i > $o ).
thf(cC62_decl,type,
cC62: $i > $o ).
thf(cC8_decl,type,
cC8: $i > $o ).
thf(cC36_decl,type,
cC36: $i > $o ).
thf(cC112_decl,type,
cC112: $i > $o ).
thf(cC64_decl,type,
cC64: $i > $o ).
thf(cC116_decl,type,
cC116: $i > $o ).
thf(cC82_decl,type,
cC82: $i > $o ).
thf(cC14_decl,type,
cC14: $i > $o ).
thf(cC152_decl,type,
cC152: $i > $o ).
thf(cC80_decl,type,
cC80: $i > $o ).
thf(cC88_decl,type,
cC88: $i > $o ).
thf(cC130_decl,type,
cC130: $i > $o ).
thf(cC168_decl,type,
cC168: $i > $o ).
thf(cC4_decl,type,
cC4: $i > $o ).
thf(cC134_decl,type,
cC134: $i > $o ).
thf(cC42_decl,type,
cC42: $i > $o ).
thf(cC156_decl,type,
cC156: $i > $o ).
thf(cC86_decl,type,
cC86: $i > $o ).
thf(cC30_decl,type,
cC30: $i > $o ).
thf(iV21027_decl,type,
iV21027: $i ).
thf(cC24_decl,type,
cC24: $i > $o ).
thf(cC50_decl,type,
cC50: $i > $o ).
thf(iV21029_decl,type,
iV21029: $i ).
thf(cC44_decl,type,
cC44: $i > $o ).
thf(cC72_decl,type,
cC72: $i > $o ).
thf(iV21030_decl,type,
iV21030: $i ).
thf(cC66_decl,type,
cC66: $i > $o ).
thf(cC26_decl,type,
cC26: $i > $o ).
thf(ra_Px92_decl,type,
ra_Px92: $i > $i > $o ).
thf(cC32_decl,type,
cC32: $i > $o ).
thf(ra_Px91_decl,type,
ra_Px91: $i > $i > $o ).
thf(cC52_decl,type,
cC52: $i > $o ).
thf(ra_Px89_decl,type,
ra_Px89: $i > $i > $o ).
thf(cC46_decl,type,
cC46: $i > $o ).
thf(ra_Px90_decl,type,
ra_Px90: $i > $i > $o ).
thf(cC24xcomp_decl,type,
cC24xcomp: $i > $o ).
thf(cC2xcomp_decl,type,
cC2xcomp: $i > $o ).
thf(cC160_decl,type,
cC160: $i > $o ).
thf(ra_Px80_decl,type,
ra_Px80: $i > $i > $o ).
thf(cC68_decl,type,
cC68: $i > $o ).
thf(ra_Px88_decl,type,
ra_Px88: $i > $i > $o ).
thf(cC30xcomp_decl,type,
cC30xcomp: $i > $o ).
thf(cC170_decl,type,
cC170: $i > $o ).
thf(ra_Px78_decl,type,
ra_Px78: $i > $i > $o ).
thf(cC44xcomp_decl,type,
cC44xcomp: $i > $o ).
thf(cC12xcomp_decl,type,
cC12xcomp: $i > $o ).
thf(cC50xcomp_decl,type,
cC50xcomp: $i > $o ).
thf(cC74_decl,type,
cC74: $i > $o ).
thf(ra_Px87_decl,type,
ra_Px87: $i > $i > $o ).
thf(cC6_decl,type,
cC6: $i > $o ).
thf(iV21033_decl,type,
iV21033: $i ).
thf(cC18_decl,type,
cC18: $i > $o ).
thf(ra_Px2_decl,type,
ra_Px2: $i > $i > $o ).
thf(cC92_decl,type,
cC92: $i > $o ).
thf(iV21034_decl,type,
iV21034: $i ).
thf(cC52xcomp_decl,type,
cC52xcomp: $i > $o ).
thf(cC48xcomp_decl,type,
cC48xcomp: $i > $o ).
thf(ra_Px17_decl,type,
ra_Px17: $i > $i > $o ).
thf(iV21036_decl,type,
iV21036: $i ).
thf(iV21032_decl,type,
iV21032: $i ).
thf(cC166xcomp_decl,type,
cC166xcomp: $i > $o ).
thf(ra_Px56_decl,type,
ra_Px56: $i > $i > $o ).
thf(cC46xcomp_decl,type,
cC46xcomp: $i > $o ).
thf(cC164xcomp_decl,type,
cC164xcomp: $i > $o ).
thf(ra_Px79_decl,type,
ra_Px79: $i > $i > $o ).
thf(iV21035_decl,type,
iV21035: $i ).
thf(cC74xcomp_decl,type,
cC74xcomp: $i > $o ).
thf(cC76xcomp_decl,type,
cC76xcomp: $i > $o ).
thf(ra_Px26_decl,type,
ra_Px26: $i > $i > $o ).
thf(cC72xcomp_decl,type,
cC72xcomp: $i > $o ).
thf(cC18xcomp_decl,type,
cC18xcomp: $i > $o ).
thf(cC104xcomp_decl,type,
cC104xcomp: $i > $o ).
thf(ra_Px85_decl,type,
ra_Px85: $i > $i > $o ).
thf(ra_Px24_decl,type,
ra_Px24: $i > $i > $o ).
thf(cC176xcomp_decl,type,
cC176xcomp: $i > $o ).
thf(ra_Px77_decl,type,
ra_Px77: $i > $i > $o ).
thf(cC12_decl,type,
cC12: $i > $o ).
thf(ra_Px1_decl,type,
ra_Px1: $i > $i > $o ).
thf(cC94_decl,type,
cC94: $i > $o ).
thf(rR1_decl,type,
rR1: $i > $i > $o ).
thf(cC6xcomp_decl,type,
cC6xcomp: $i > $o ).
thf(cC100_decl,type,
cC100: $i > $o ).
thf(cC2_decl,type,
cC2: $i > $o ).
thf(ra_Px3_decl,type,
ra_Px3: $i > $i > $o ).
thf(cC26xcomp_decl,type,
cC26xcomp: $i > $o ).
thf(cC66xcomp_decl,type,
cC66xcomp: $i > $o ).
thf(cC28xcomp_decl,type,
cC28xcomp: $i > $o ).
thf(ra_Px9_decl,type,
ra_Px9: $i > $i > $o ).
thf(cC178xcomp_decl,type,
cC178xcomp: $i > $o ).
thf(ra_Px60_decl,type,
ra_Px60: $i > $i > $o ).
thf(ra_Px13_decl,type,
ra_Px13: $i > $i > $o ).
thf(cC142xcomp_decl,type,
cC142xcomp: $i > $o ).
thf(ra_Px82_decl,type,
ra_Px82: $i > $i > $o ).
thf(cC70xcomp_decl,type,
cC70xcomp: $i > $o ).
thf(ra_Px25_decl,type,
ra_Px25: $i > $i > $o ).
thf(cC98xcomp_decl,type,
cC98xcomp: $i > $o ).
thf(ra_Px35_decl,type,
ra_Px35: $i > $i > $o ).
thf(cC144xcomp_decl,type,
cC144xcomp: $i > $o ).
thf(ra_Px51_decl,type,
ra_Px51: $i > $i > $o ).
thf(cC128xcomp_decl,type,
cC128xcomp: $i > $o ).
thf(ra_Px44_decl,type,
ra_Px44: $i > $i > $o ).
thf(cC160xcomp_decl,type,
cC160xcomp: $i > $o ).
thf(ra_Px16_decl,type,
ra_Px16: $i > $i > $o ).
thf(cC122xcomp_decl,type,
cC122xcomp: $i > $o ).
thf(ra_Px43_decl,type,
ra_Px43: $i > $i > $o ).
thf(ra_Px27_decl,type,
ra_Px27: $i > $i > $o ).
thf(ra_Px21_decl,type,
ra_Px21: $i > $i > $o ).
thf(cC172xcomp_decl,type,
cC172xcomp: $i > $o ).
thf(ra_Px58_decl,type,
ra_Px58: $i > $i > $o ).
thf(ra_Px28_decl,type,
ra_Px28: $i > $i > $o ).
thf(cC106xcomp_decl,type,
cC106xcomp: $i > $o ).
thf(ra_Px36_decl,type,
ra_Px36: $i > $i > $o ).
thf(cC120xcomp_decl,type,
cC120xcomp: $i > $o ).
thf(ra_Px84_decl,type,
ra_Px84: $i > $i > $o ).
thf(cC34xcomp_decl,type,
cC34xcomp: $i > $o ).
thf(ra_Px10_decl,type,
ra_Px10: $i > $i > $o ).
thf(cC150xcomp_decl,type,
cC150xcomp: $i > $o ).
thf(ra_Px52_decl,type,
ra_Px52: $i > $i > $o ).
thf(cC102_decl,type,
cC102: $i > $o ).
thf(ra_Px8_decl,type,
ra_Px8: $i > $i > $o ).
thf(ra_Px5_decl,type,
ra_Px5: $i > $i > $o ).
thf(cC96xcomp_decl,type,
cC96xcomp: $i > $o ).
thf(ra_Px86_decl,type,
ra_Px86: $i > $i > $o ).
thf(ra_Px33_decl,type,
ra_Px33: $i > $i > $o ).
thf(cC68xcomp_decl,type,
cC68xcomp: $i > $o ).
thf(cC126xcomp_decl,type,
cC126xcomp: $i > $o ).
thf(ra_Px83_decl,type,
ra_Px83: $i > $i > $o ).
thf(cC162xcomp_decl,type,
cC162xcomp: $i > $o ).
thf(ra_Px55_decl,type,
ra_Px55: $i > $i > $o ).
thf(cC170xcomp_decl,type,
cC170xcomp: $i > $o ).
thf(cC32xcomp_decl,type,
cC32xcomp: $i > $o ).
thf(cC54xcomp_decl,type,
cC54xcomp: $i > $o ).
thf(ra_Px18_decl,type,
ra_Px18: $i > $i > $o ).
thf(cC148xcomp_decl,type,
cC148xcomp: $i > $o ).
thf(ra_Px81_decl,type,
ra_Px81: $i > $i > $o ).
thf(cTOP_decl,type,
cTOP: $i > $o ).
thf(iV21028_decl,type,
iV21028: $i ).
thf(cTEST_decl,type,
cTEST: $i > $o ).
thf(iV21031_decl,type,
iV21031: $i ).
thf(145,axiom,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ( A @ cC32xcomp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_214) ).
thf(892,plain,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ( A @ cC32xcomp ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[145]) ).
thf(196,axiom,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ( A @ cC170xcomp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_188) ).
thf(1036,plain,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ( A @ cC170xcomp ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[196]) ).
thf(77,axiom,
! [A: $i] :
( ( A @ cC6xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px27 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_145) ).
thf(629,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px27 ) )
=> ( A @ cC6xcomp ) )
& ( ( A @ cC6xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px27 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(245,axiom,
iV21027 @ cC142xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_235) ).
thf(1168,plain,
iV21027 @ cC142xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[245]) ).
thf(150,axiom,
! [A: $i] :
( ( A @ cC50 )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px16 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_134) ).
thf(909,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px16 ) )
=> ( A @ cC50 ) )
& ( ( A @ cC50 )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px16 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[150]) ).
thf(44,axiom,
iV21034 @ cC100,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_326) ).
thf(479,plain,
iV21034 @ cC100,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(225,axiom,
iV21035 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_334) ).
thf(1105,plain,
iV21035 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[225]) ).
thf(116,axiom,
! [A: $i] :
( ( A @ ( iV21029 @ rR1 ) )
=> ( A @ cC18 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_260) ).
thf(777,plain,
! [A: $i] :
( ( A @ ( iV21029 @ rR1 ) )
=> ( A @ cC18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(63,axiom,
! [A: $i] :
( ( A @ cC160xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px80 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_70) ).
thf(555,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px80 ) )
=> ( A @ cC160xcomp ) )
& ( ( A @ cC160xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px80 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(172,axiom,
iV21027 @ cC18,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_238) ).
thf(977,plain,
iV21027 @ cC18,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[172]) ).
thf(107,axiom,
iV21029 @ cC74xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_279) ).
thf(762,plain,
iV21029 @ cC74xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(100,axiom,
! [A: $i] :
( ( A @ cC8 )
<=> ? [B: $i] :
( ( B @ cC6xcomp )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_168) ).
thf(730,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC6xcomp )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC8 ) )
& ( ( A @ cC8 )
=> ? [B: $i] :
( ( B @ cC6xcomp )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(181,axiom,
! [A: $i] :
( ( A @ cC62 )
<=> ( A @ cTOP ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_147) ).
thf(994,plain,
! [A: $i] :
( ( ( A @ cTOP )
=> ( A @ cC62 ) )
& ( ( A @ cC62 )
=> ( A @ cTOP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[181]) ).
thf(213,axiom,
iV21026 @ cTEST,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_221) ).
thf(1073,plain,
iV21026 @ cTEST,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[213]) ).
thf(237,axiom,
iV21029 @ cC104xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_269) ).
thf(1142,plain,
iV21029 @ cC104xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[237]) ).
thf(82,axiom,
! [A: $i] :
( ( A @ cC96xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px86 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_182) ).
thf(655,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px86 ) )
=> ( A @ cC96xcomp ) )
& ( ( A @ cC96xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px86 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(200,axiom,
iV21033 @ ( iV21029 @ rR1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_282) ).
thf(1041,plain,
iV21033 @ ( iV21029 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[200]) ).
thf(137,axiom,
! [A: $i] :
( ( A @ cC90 )
<=> ( ( A @ cC88 )
& ( A @ cC86 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_174) ).
thf(861,plain,
! [A: $i] :
( ( ( ( A @ cC88 )
& ( A @ cC86 ) )
=> ( A @ cC90 ) )
& ( ( A @ cC90 )
=> ( ( A @ cC88 )
& ( A @ cC86 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(217,axiom,
iV21029 @ cC46xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_272) ).
thf(1078,plain,
iV21029 @ cC46xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[217]) ).
thf(22,axiom,
! [A: $i] :
( ( A @ cC166xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px56 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_79) ).
thf(384,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px56 ) )
=> ( A @ cC166xcomp ) )
& ( ( A @ cC166xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px56 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(50,axiom,
! [A: $i] :
( ( A @ cC142xcomp )
<=> ? [B: $i] : ( B @ ( A @ ra_Px82 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_50) ).
thf(500,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px82 ) )
=> ( A @ cC142xcomp ) )
& ( ( A @ cC142xcomp )
=> ? [B: $i] : ( B @ ( A @ ra_Px82 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(122,axiom,
! [A: $i] :
( ( A @ cC130 )
<=> ( ( A @ cC122xcomp )
& ( A @ cC128xcomp ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_39) ).
thf(797,plain,
! [A: $i] :
( ( ( ( A @ cC122xcomp )
& ( A @ cC128xcomp ) )
=> ( A @ cC130 ) )
& ( ( A @ cC130 )
=> ( ( A @ cC122xcomp )
& ( A @ cC128xcomp ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(126,axiom,
iV21030 @ cC12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_283) ).
thf(814,plain,
iV21030 @ cC12,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(90,axiom,
! [A: $i] :
( ( A @ cC32xcomp )
<=> ? [B: $i] : ( B @ ( A @ ra_Px91 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_115) ).
thf(698,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px91 ) )
=> ( A @ cC32xcomp ) )
& ( ( A @ cC32xcomp )
=> ? [B: $i] : ( B @ ( A @ ra_Px91 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(255,axiom,
iV21031 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_311) ).
thf(1196,plain,
iV21031 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[255]) ).
thf(30,axiom,
! [A: $i] :
( ( A @ cC74 )
<=> ( ( A @ cC18xcomp )
& ( A @ cC72xcomp ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_161) ).
thf(417,plain,
! [A: $i] :
( ( ( ( A @ cC18xcomp )
& ( A @ cC72xcomp ) )
=> ( A @ cC74 ) )
& ( ( A @ cC74 )
=> ( ( A @ cC18xcomp )
& ( A @ cC72xcomp ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(143,axiom,
! [A: $i] :
( ( A @ cC88 )
<=> ( A @ cTOP ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_173) ).
thf(885,plain,
! [A: $i] :
( ( ( A @ cTOP )
=> ( A @ cC88 ) )
& ( ( A @ cC88 )
=> ( A @ cTOP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).
thf(268,axiom,
iV21027 @ cC26xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_242) ).
thf(1228,plain,
iV21027 @ cC26xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[268]) ).
thf(129,axiom,
! [A: $i] :
( ( A @ cC14 )
<=> ? [B: $i] :
( ( B @ cC12xcomp )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_44) ).
thf(829,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC12xcomp )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC14 ) )
& ( ( A @ cC14 )
=> ? [B: $i] :
( ( B @ cC12xcomp )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(27,axiom,
! [A: $i] :
( ( A @ cC74xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px87 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_163) ).
thf(404,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px87 ) )
=> ( A @ cC74xcomp ) )
& ( ( A @ cC74xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px87 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(70,axiom,
! [A: $i] :
( ( A @ cC66xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px21 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_151) ).
thf(587,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px21 ) )
=> ( A @ cC66xcomp ) )
& ( ( A @ cC66xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px21 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(152,axiom,
iV21036 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_340) ).
thf(917,plain,
iV21036 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[152]) ).
thf(162,axiom,
iV21030 @ cC18xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_293) ).
thf(934,plain,
iV21030 @ cC18xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[162]) ).
thf(61,axiom,
! [A: $i] :
( ( A @ cC12xcomp )
<=> ? [B: $i] : ( B @ ( A @ ra_Px1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_23) ).
thf(542,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px1 ) )
=> ( A @ cC12xcomp ) )
& ( ( A @ cC12xcomp )
=> ? [B: $i] : ( B @ ( A @ ra_Px1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(207,axiom,
iV21029 @ cC142xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_263) ).
thf(1055,plain,
iV21029 @ cC142xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[207]) ).
thf(95,axiom,
iV21029 @ cC92,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_261) ).
thf(724,plain,
iV21029 @ cC92,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(148,axiom,
! [A: $i] :
( ( A @ cC44 )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px13 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_124) ).
thf(902,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px13 ) )
=> ( A @ cC44 ) )
& ( ( A @ cC44 )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px13 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[148]) ).
thf(135,axiom,
iV21029 @ cC68xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_264) ).
thf(853,plain,
iV21029 @ cC68xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).
thf(170,axiom,
! [A: $i] :
( ( A @ cC64 )
<=> ( ( A @ cC62 )
& ( A @ cC60 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_148) ).
thf(969,plain,
! [A: $i] :
( ( ( ( A @ cC62 )
& ( A @ cC60 ) )
=> ( A @ cC64 ) )
& ( ( A @ cC64 )
=> ( ( A @ cC62 )
& ( A @ cC60 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[170]) ).
thf(114,axiom,
iV21026 @ cC98xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_196) ).
thf(770,plain,
iV21026 @ cC98xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(158,axiom,
! [A: $i] :
( ( A @ cC10 )
<=> ( ( A @ cC4 )
& ( A @ cC8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(924,plain,
! [A: $i] :
( ( ( ( A @ cC4 )
& ( A @ cC8 ) )
=> ( A @ cC10 ) )
& ( ( A @ cC10 )
=> ( ( A @ cC4 )
& ( A @ cC8 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[158]) ).
thf(47,axiom,
iV21035 @ cC100,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_332) ).
thf(492,plain,
iV21035 @ cC100,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(19,axiom,
! [A: $i] :
( ( A @ cC48xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px17 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_132) ).
thf(376,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px17 ) )
=> ( A @ cC48xcomp ) )
& ( ( A @ cC48xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px17 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(76,axiom,
! [A: $i] :
( ( A @ cC150xcomp )
<=> ? [B: $i] : ( B @ ( A @ ra_Px52 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_62) ).
thf(623,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px52 ) )
=> ( A @ cC150xcomp ) )
& ( ( A @ cC150xcomp )
=> ? [B: $i] : ( B @ ( A @ ra_Px52 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(54,axiom,
! [A: $i] :
( ( A @ cC170 )
<=> ? [B: $i] :
( ( B @ cC18xcomp )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_82) ).
thf(514,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC18xcomp )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC170 ) )
& ( ( A @ cC170 )
=> ? [B: $i] :
( ( B @ cC18xcomp )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(67,axiom,
! [A: $i] :
( ( A @ cC122xcomp )
<=> ? [B: $i] : ( B @ ( A @ ra_Px43 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).
thf(574,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px43 ) )
=> ( A @ cC122xcomp ) )
& ( ( A @ cC122xcomp )
=> ? [B: $i] : ( B @ ( A @ ra_Px43 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(249,axiom,
iV21030 @ cC52xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_294) ).
thf(1183,plain,
iV21030 @ cC52xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[249]) ).
thf(204,axiom,
! [A: $i] :
( ( A @ ( iV21027 @ rR1 ) )
=> ( A @ cC92 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_251) ).
thf(1051,plain,
! [A: $i] :
( ( A @ ( iV21027 @ rR1 ) )
=> ( A @ cC92 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[204]) ).
thf(45,axiom,
! [A: $i] :
( ( A @ cC28xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_109) ).
thf(480,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px9 ) )
=> ( A @ cC28xcomp ) )
& ( ( A @ cC28xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px9 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(199,axiom,
iV21029 @ cC96xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_257) ).
thf(1040,plain,
iV21029 @ cC96xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[199]) ).
thf(228,axiom,
! [A: $i] :
( ( A @ cC116 )
<=> ( ( A @ cC112 )
& ( A @ cC114 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
thf(1109,plain,
! [A: $i] :
( ( ( ( A @ cC112 )
& ( A @ cC114 ) )
=> ( A @ cC116 ) )
& ( ( A @ cC116 )
=> ( ( A @ cC112 )
& ( A @ cC114 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[228]) ).
thf(241,axiom,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ( A @ cC160xcomp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_191) ).
thf(1151,plain,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ( A @ cC160xcomp ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[241]) ).
thf(164,axiom,
! [A: $i] :
( ( A @ cC86 )
<=> ( ( A @ cC84 )
& ( A @ cC82 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_172) ).
thf(937,plain,
! [A: $i] :
( ( ( ( A @ cC84 )
& ( A @ cC82 ) )
=> ( A @ cC86 ) )
& ( ( A @ cC86 )
=> ( ( A @ cC84 )
& ( A @ cC82 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[164]) ).
thf(110,axiom,
iV21030 @ cC46xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_300) ).
thf(766,plain,
iV21030 @ cC46xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(246,axiom,
iV21026 @ cC48xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_217) ).
thf(1169,plain,
iV21026 @ cC48xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[246]) ).
thf(262,axiom,
iV21029 @ cC18,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_267) ).
thf(1215,plain,
iV21029 @ cC18,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[262]) ).
thf(89,axiom,
! [A: $i] :
( ( A @ cC170xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px78 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_83) ).
thf(692,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px78 ) )
=> ( A @ cC170xcomp ) )
& ( ( A @ cC170xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px78 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(212,axiom,
iV21030 @ ( iV21026 @ rR1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_222) ).
thf(1072,plain,
iV21030 @ ( iV21026 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[212]) ).
thf(231,axiom,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
thf(1119,plain,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[231]) ).
thf(24,axiom,
! [A: $i] :
( ( A @ cC164xcomp )
<=> ? [B: $i] : ( B @ ( A @ ra_Px79 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_76) ).
thf(396,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px79 ) )
=> ( A @ cC164xcomp ) )
& ( ( A @ cC164xcomp )
=> ? [B: $i] : ( B @ ( A @ ra_Px79 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(276,axiom,
! [A: $i] :
( ( A @ ( iV21029 @ rR1 ) )
=> ( A @ cC100 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_273) ).
thf(1242,plain,
! [A: $i] :
( ( A @ ( iV21029 @ rR1 ) )
=> ( A @ cC100 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[276]) ).
thf(52,axiom,
! [A: $i] :
( ( A @ cC70xcomp )
<=> ? [B: $i] : ( B @ ( A @ ra_Px25 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_157) ).
thf(507,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px25 ) )
=> ( A @ cC70xcomp ) )
& ( ( A @ cC70xcomp )
=> ? [B: $i] : ( B @ ( A @ ra_Px25 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(29,axiom,
! [A: $i] :
( ( A @ cC76xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px26 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_166) ).
thf(411,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px26 ) )
=> ( A @ cC76xcomp ) )
& ( ( A @ cC76xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px26 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(176,axiom,
iV21026 @ cC54xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_209) ).
thf(988,plain,
iV21026 @ cC54xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[176]) ).
thf(214,axiom,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ( A @ cC126xcomp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_207) ).
thf(1074,plain,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ( A @ cC126xcomp ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[214]) ).
thf(4,axiom,
! [A: $i] :
( ( A @ cC32 )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px91 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_113) ).
thf(292,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px91 ) )
=> ( A @ cC32 ) )
& ( ( A @ cC32 )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px91 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(259,axiom,
! [A: $i] :
( ( A @ cC66 )
<=> ? [B: $i] :
( ( B @ cC2xcomp )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_150) ).
thf(1206,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC2xcomp )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC66 ) )
& ( ( A @ cC66 )
=> ? [B: $i] :
( ( B @ cC2xcomp )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[259]) ).
thf(154,axiom,
iV21029 @ cC170xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_259) ).
thf(920,plain,
iV21029 @ cC170xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[154]) ).
thf(83,axiom,
! [A: $i] :
( ( A @ cC18xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_95) ).
thf(661,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px2 ) )
=> ( A @ cC18xcomp ) )
& ( ( A @ cC18xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(242,axiom,
! [A: $i] :
( ( A @ cC72 )
<=> ? [B: $i] :
( ( B @ cC12xcomp )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_159) ).
thf(1153,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC12xcomp )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC72 ) )
& ( ( A @ cC72 )
=> ? [B: $i] :
( ( B @ cC12xcomp )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[242]) ).
thf(58,axiom,
iV21033 @ cC92,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_318) ).
thf(534,plain,
iV21033 @ cC92,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(223,axiom,
! [A: $i] :
( ( A @ cC36 )
<=> ( ( A @ cC28xcomp )
& ( A @ cC34xcomp ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_119) ).
thf(1091,plain,
! [A: $i] :
( ( ( ( A @ cC28xcomp )
& ( A @ cC34xcomp ) )
=> ( A @ cC36 ) )
& ( ( A @ cC36 )
=> ( ( A @ cC28xcomp )
& ( A @ cC34xcomp ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[223]) ).
thf(201,axiom,
iV21026 @ cC70xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_215) ).
thf(1042,plain,
iV21026 @ cC70xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[201]) ).
thf(13,axiom,
! [A: $i] :
( ( A @ cC52 )
<=> ( ( A @ cC12xcomp )
& ( A @ cC50xcomp ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_137) ).
thf(349,plain,
! [A: $i] :
( ( ( ( A @ cC12xcomp )
& ( A @ cC50xcomp ) )
=> ( A @ cC52 ) )
& ( ( A @ cC52 )
=> ( ( A @ cC12xcomp )
& ( A @ cC50xcomp ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(64,axiom,
iV21033 @ cC100,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_320) ).
thf(561,plain,
iV21033 @ cC100,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(31,axiom,
! [A: $i] :
( ( A @ cC104xcomp )
<=> ? [B: $i] : ( B @ ( A @ ra_Px85 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
thf(424,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px85 ) )
=> ( A @ cC104xcomp ) )
& ( ( A @ cC104xcomp )
=> ? [B: $i] : ( B @ ( A @ ra_Px85 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(120,axiom,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ( A @ cC120xcomp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_200) ).
thf(788,plain,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ( A @ cC120xcomp ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(127,axiom,
! [A: $i] :
( ( A @ cC42 )
<=> ( ( A @ cC38 )
& ( A @ cC40 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_123) ).
thf(815,plain,
! [A: $i] :
( ( ( ( A @ cC38 )
& ( A @ cC40 ) )
=> ( A @ cC42 ) )
& ( ( A @ cC42 )
=> ( ( A @ cC38 )
& ( A @ cC40 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(99,axiom,
iV21035 @ ( iV21027 @ rR1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_253) ).
thf(729,plain,
iV21035 @ ( iV21027 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(272,axiom,
iV21026 @ cC162xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_213) ).
thf(1238,plain,
iV21026 @ cC162xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[272]) ).
thf(264,axiom,
! [A: $i] :
( ( A @ ( iV21029 @ rR1 ) )
=> ( A @ cC92 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_266) ).
thf(1223,plain,
! [A: $i] :
( ( A @ ( iV21029 @ rR1 ) )
=> ( A @ cC92 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[264]) ).
thf(146,axiom,
! [A: $i] :
( ( A @ cC58 )
<=> ( ( A @ cTOP )
& ( A @ cC56 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_143) ).
thf(894,plain,
! [A: $i] :
( ( ( ( A @ cTOP )
& ( A @ cC56 ) )
=> ( A @ cC58 ) )
& ( ( A @ cC58 )
=> ( ( A @ cTOP )
& ( A @ cC56 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[146]) ).
thf(134,axiom,
iV21029 @ cC12xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_265) ).
thf(852,plain,
iV21029 @ cC12xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).
thf(10,axiom,
! [A: $i] :
( ( A @ cC32 )
<=> ( ( A @ cC30xcomp )
& ( A @ cC2xcomp ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_114) ).
thf(329,plain,
! [A: $i] :
( ( ( ( A @ cC30xcomp )
& ( A @ cC2xcomp ) )
=> ( A @ cC32 ) )
& ( ( A @ cC32 )
=> ( ( A @ cC30xcomp )
& ( A @ cC2xcomp ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(56,axiom,
! [A: $i] :
( ( A @ cC98xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px35 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_185) ).
thf(522,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px35 ) )
=> ( A @ cC98xcomp ) )
& ( ( A @ cC98xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px35 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(48,axiom,
iV21032 @ cC6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_315) ).
thf(493,plain,
iV21032 @ cC6,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(92,axiom,
iV21034 @ cC18,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_329) ).
thf(710,plain,
iV21034 @ cC18,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(226,axiom,
iV21030 @ cC74xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_307) ).
thf(1106,plain,
iV21030 @ cC74xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[226]) ).
thf(218,axiom,
! [A: $i] :
( ( A @ cC84 )
<=> ( A @ cTOP ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_171) ).
thf(1079,plain,
! [A: $i] :
( ( ( A @ cTOP )
=> ( A @ cC84 ) )
& ( ( A @ cC84 )
=> ( A @ cTOP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[218]) ).
thf(192,axiom,
iV21027 @ cC46xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_243) ).
thf(1027,plain,
iV21027 @ cC46xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[192]) ).
thf(222,axiom,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ( A @ cC68xcomp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_201) ).
thf(1089,plain,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ( A @ cC68xcomp ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[222]) ).
thf(238,axiom,
iV21027 @ cC52xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_239) ).
thf(1143,plain,
iV21027 @ cC52xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[238]) ).
thf(8,axiom,
! [A: $i] :
( ( A @ cC160 )
<=> ? [B: $i] : ( B @ ( A @ ra_Px80 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_68) ).
thf(317,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px80 ) )
=> ( A @ cC160 ) )
& ( ( A @ cC160 )
=> ? [B: $i] : ( B @ ( A @ ra_Px80 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(267,axiom,
iV21026 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_219) ).
thf(1227,plain,
iV21026 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[267]) ).
thf(96,axiom,
iV21029 @ cC32xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_280) ).
thf(725,plain,
iV21029 @ cC32xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(26,axiom,
iV21035 @ cC92,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_330) ).
thf(403,plain,
iV21035 @ cC92,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(183,axiom,
iV21033 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_322) ).
thf(1006,plain,
iV21033 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[183]) ).
thf(14,axiom,
! [A: $i] :
( ( A @ cC74 )
<=> ? [B: $i] : ( B @ ( A @ ra_Px87 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_162) ).
thf(356,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px87 ) )
=> ( A @ cC74 ) )
& ( ( A @ cC74 )
=> ? [B: $i] : ( B @ ( A @ ra_Px87 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(71,axiom,
! [A: $i] :
( ( A @ cC172xcomp )
<=> ? [B: $i] : ( B @ ( A @ ra_Px58 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_86) ).
thf(593,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px58 ) )
=> ( A @ cC172xcomp ) )
& ( ( A @ cC172xcomp )
=> ? [B: $i] : ( B @ ( A @ ra_Px58 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(139,axiom,
! [A: $i] :
( ( A @ cC112 )
<=> ( ( A @ cC90 )
& ( A @ cC110 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
thf(869,plain,
! [A: $i] :
( ( ( ( A @ cC90 )
& ( A @ cC110 ) )
=> ( A @ cC112 ) )
& ( ( A @ cC112 )
=> ( ( A @ cC90 )
& ( A @ cC110 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).
thf(230,axiom,
iV21027 @ cC170xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_230) ).
thf(1118,plain,
iV21027 @ cC170xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[230]) ).
thf(177,axiom,
iV21030 @ cC160xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_305) ).
thf(989,plain,
iV21030 @ cC160xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[177]) ).
thf(42,axiom,
! [A: $i] :
( ( A @ cC68 )
<=> ( ( A @ cC66xcomp )
& ( A @ cC18xcomp ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_153) ).
thf(471,plain,
! [A: $i] :
( ( ( ( A @ cC66xcomp )
& ( A @ cC18xcomp ) )
=> ( A @ cC68 ) )
& ( ( A @ cC68 )
=> ( ( A @ cC66xcomp )
& ( A @ cC18xcomp ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(142,axiom,
iV21034 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_328) ).
thf(884,plain,
iV21034 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[142]) ).
thf(243,axiom,
iV21027 @ cC164xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_245) ).
thf(1160,plain,
iV21027 @ cC164xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[243]) ).
thf(193,axiom,
iV21027 @ cC2xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_237) ).
thf(1028,plain,
iV21027 @ cC2xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[193]) ).
thf(161,axiom,
iV21032 @ ( iV21030 @ rR1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_309) ).
thf(933,plain,
iV21032 @ ( iV21030 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[161]) ).
thf(147,axiom,
iV21026 @ cC144xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_204) ).
thf(901,plain,
iV21026 @ cC144xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[147]) ).
thf(79,axiom,
! [A: $i] :
( ( A @ cC30xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_112) ).
thf(642,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px8 ) )
=> ( A @ cC30xcomp ) )
& ( ( A @ cC30xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px8 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(261,axiom,
iV21027 @ cC32xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_250) ).
thf(1214,plain,
iV21027 @ cC32xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[261]) ).
thf(86,axiom,
! [A: $i] :
( ( A @ cC126xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px83 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_35) ).
thf(679,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px83 ) )
=> ( A @ cC126xcomp ) )
& ( ( A @ cC126xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px83 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(198,axiom,
iV21030 @ cC92,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_288) ).
thf(1039,plain,
iV21030 @ cC92,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[198]) ).
thf(174,axiom,
! [A: $i] :
( ( A @ ( iV21027 @ rR1 ) )
=> ( A @ cC6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_233) ).
thf(985,plain,
! [A: $i] :
( ( A @ ( iV21027 @ rR1 ) )
=> ( A @ cC6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[174]) ).
thf(240,axiom,
iV21026 @ cC106xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_199) ).
thf(1150,plain,
iV21026 @ cC106xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[240]) ).
thf(102,axiom,
! [A: $i] :
( ( A @ cC82 )
<=> ( ( A @ cC80 )
& ( A @ cC64 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_170) ).
thf(738,plain,
! [A: $i] :
( ( ( ( A @ cC80 )
& ( A @ cC64 ) )
=> ( A @ cC82 ) )
& ( ( A @ cC82 )
=> ( ( A @ cC80 )
& ( A @ cC64 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(271,axiom,
! [A: $i] :
( ( A @ cC158 )
<=> ( ( A @ cC156 )
& ( A @ cC22 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_66) ).
thf(1231,plain,
! [A: $i] :
( ( ( ( A @ cC156 )
& ( A @ cC22 ) )
=> ( A @ cC158 ) )
& ( ( A @ cC158 )
=> ( ( A @ cC156 )
& ( A @ cC22 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[271]) ).
thf(81,axiom,
iV21036 @ cC2xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_337) ).
thf(654,plain,
iV21036 @ cC2xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(117,axiom,
iV21029 @ cC52xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_268) ).
thf(779,plain,
iV21029 @ cC52xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(73,axiom,
! [A: $i] :
( ( A @ cC106xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px36 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
thf(605,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px36 ) )
=> ( A @ cC106xcomp ) )
& ( ( A @ cC106xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px36 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(203,axiom,
iV21030 @ cC2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_296) ).
thf(1050,plain,
iV21030 @ cC2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[203]) ).
thf(38,axiom,
iV21036 @ cC100,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_338) ).
thf(457,plain,
iV21036 @ cC100,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(220,axiom,
! [A: $i] :
( ( A @ ( iV21030 @ rR1 ) )
=> ( A @ cC6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_292) ).
thf(1086,plain,
! [A: $i] :
( ( A @ ( iV21030 @ rR1 ) )
=> ( A @ cC6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[220]) ).
thf(275,axiom,
iV21030 @ cC120xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_287) ).
thf(1241,plain,
iV21030 @ cC120xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[275]) ).
thf(155,axiom,
iV21029 @ cC120xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_258) ).
thf(921,plain,
iV21029 @ cC120xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[155]) ).
thf(60,axiom,
iV21032 @ cC18,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_317) ).
thf(541,plain,
iV21032 @ cC18,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(247,axiom,
! [A: $i] :
( ( A @ cC156 )
<=> ( ( A @ cC138 )
& ( A @ cC154 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_65) ).
thf(1170,plain,
! [A: $i] :
( ( ( ( A @ cC138 )
& ( A @ cC154 ) )
=> ( A @ cC156 ) )
& ( ( A @ cC156 )
=> ( ( A @ cC138 )
& ( A @ cC154 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[247]) ).
thf(211,axiom,
iV21029 @ cC26xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_271) ).
thf(1071,plain,
iV21029 @ cC26xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[211]) ).
thf(251,axiom,
iV21026 @ cC76xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_195) ).
thf(1185,plain,
iV21026 @ cC76xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[251]) ).
thf(69,axiom,
iV21032 @ cC2xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_312) ).
thf(586,plain,
iV21032 @ cC2xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(109,axiom,
iV21026 @ cTOP,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_190) ).
thf(765,plain,
iV21026 @ cTOP,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(206,axiom,
iV21030 @ cC100,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_304) ).
thf(1054,plain,
iV21030 @ cC100,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[206]) ).
thf(5,axiom,
! [A: $i] :
( ( A @ cC52 )
<=> ? [B: $i] : ( B @ ( A @ ra_Px89 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_136) ).
thf(298,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px89 ) )
=> ( A @ cC52 ) )
& ( ( A @ cC52 )
=> ? [B: $i] : ( B @ ( A @ ra_Px89 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(168,axiom,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ( A @ cC52xcomp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_211) ).
thf(965,plain,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ( A @ cC52xcomp ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[168]) ).
thf(103,axiom,
! [A: $i] :
( ( A @ cC50 )
<=> ? [B: $i] :
( ( B @ cC12xcomp )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_133) ).
thf(745,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC12xcomp )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC50 ) )
& ( ( A @ cC50 )
=> ? [B: $i] :
( ( B @ cC12xcomp )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(1,conjecture,
( ( iV21030 @ cowlThing )
& ( iV21030 @ cC66 )
& ( iV21030 @ cC72 )
& ( iV21029 @ cowlThing )
& ( iV21029 @ cC44 )
& ( iV21029 @ cC50 )
& ( iV21027 @ cC24 )
& ( iV21027 @ cowlThing )
& ( iV21027 @ cC30 )
& ( iV21026 @ cC86 )
& ( iV21026 @ cC156 )
& ( iV21026 @ cC42 )
& ( iV21026 @ cC134 )
& ( iV21026 @ cC4 )
& ( iV21026 @ cC168 )
& ( iV21026 @ cC130 )
& ( iV21026 @ cC88 )
& ( iV21026 @ cC80 )
& ( iV21026 @ cC152 )
& ( iV21026 @ cC14 )
& ( iV21026 @ cC82 )
& ( iV21026 @ cC116 )
& ( iV21026 @ cC64 )
& ( iV21026 @ cC112 )
& ( iV21026 @ cC36 )
& ( iV21026 @ cC8 )
& ( iV21026 @ cC62 )
& ( iV21026 @ cC174 )
& ( iV21026 @ cC138 )
& ( iV21026 @ cC38 )
& ( iV21026 @ cC84 )
& ( iV21026 @ cC20 )
& ( iV21026 @ cC114 )
& ( iV21026 @ cC132 )
& ( iV21026 @ cC16 )
& ( iV21026 @ cC78 )
& ( iV21026 @ cC180 )
& ( iV21026 @ cC154 )
& ( iV21026 @ cC60 )
& ( iV21026 @ cC22 )
& ( iV21026 @ cC110 )
& ( iV21026 @ cC158 )
& ( iV21026 @ cC56 )
& ( iV21026 @ cC58 )
& ( iV21026 @ cowlThing )
& ( iV21026 @ cC90 )
& ( iV21026 @ cC10 )
& ( iV21026 @ cC136 )
& ( iV21026 @ cC40 )
& ( iV21026 @ cC108 )
& ! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) )
& ! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
thf(2,negated_conjecture,
~ ( ( iV21030 @ cowlThing )
& ( iV21030 @ cC66 )
& ( iV21030 @ cC72 )
& ( iV21029 @ cowlThing )
& ( iV21029 @ cC44 )
& ( iV21029 @ cC50 )
& ( iV21027 @ cC24 )
& ( iV21027 @ cowlThing )
& ( iV21027 @ cC30 )
& ( iV21026 @ cC86 )
& ( iV21026 @ cC156 )
& ( iV21026 @ cC42 )
& ( iV21026 @ cC134 )
& ( iV21026 @ cC4 )
& ( iV21026 @ cC168 )
& ( iV21026 @ cC130 )
& ( iV21026 @ cC88 )
& ( iV21026 @ cC80 )
& ( iV21026 @ cC152 )
& ( iV21026 @ cC14 )
& ( iV21026 @ cC82 )
& ( iV21026 @ cC116 )
& ( iV21026 @ cC64 )
& ( iV21026 @ cC112 )
& ( iV21026 @ cC36 )
& ( iV21026 @ cC8 )
& ( iV21026 @ cC62 )
& ( iV21026 @ cC174 )
& ( iV21026 @ cC138 )
& ( iV21026 @ cC38 )
& ( iV21026 @ cC84 )
& ( iV21026 @ cC20 )
& ( iV21026 @ cC114 )
& ( iV21026 @ cC132 )
& ( iV21026 @ cC16 )
& ( iV21026 @ cC78 )
& ( iV21026 @ cC180 )
& ( iV21026 @ cC154 )
& ( iV21026 @ cC60 )
& ( iV21026 @ cC22 )
& ( iV21026 @ cC110 )
& ( iV21026 @ cC158 )
& ( iV21026 @ cC56 )
& ( iV21026 @ cC58 )
& ( iV21026 @ cowlThing )
& ( iV21026 @ cC90 )
& ( iV21026 @ cC10 )
& ( iV21026 @ cC136 )
& ( iV21026 @ cC40 )
& ( iV21026 @ cC108 )
& ! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) )
& ! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(279,plain,
~ ( ( iV21030 @ cowlThing )
& ( iV21030 @ cC66 )
& ( iV21030 @ cC72 )
& ( iV21029 @ cowlThing )
& ( iV21029 @ cC44 )
& ( iV21029 @ cC50 )
& ( iV21027 @ cC24 )
& ( iV21027 @ cowlThing )
& ( iV21027 @ cC30 )
& ( iV21026 @ cC86 )
& ( iV21026 @ cC156 )
& ( iV21026 @ cC42 )
& ( iV21026 @ cC134 )
& ( iV21026 @ cC4 )
& ( iV21026 @ cC168 )
& ( iV21026 @ cC130 )
& ( iV21026 @ cC88 )
& ( iV21026 @ cC80 )
& ( iV21026 @ cC152 )
& ( iV21026 @ cC14 )
& ( iV21026 @ cC82 )
& ( iV21026 @ cC116 )
& ( iV21026 @ cC64 )
& ( iV21026 @ cC112 )
& ( iV21026 @ cC36 )
& ( iV21026 @ cC8 )
& ( iV21026 @ cC62 )
& ( iV21026 @ cC174 )
& ( iV21026 @ cC138 )
& ( iV21026 @ cC38 )
& ( iV21026 @ cC84 )
& ( iV21026 @ cC20 )
& ( iV21026 @ cC114 )
& ( iV21026 @ cC132 )
& ( iV21026 @ cC16 )
& ( iV21026 @ cC78 )
& ( iV21026 @ cC180 )
& ( iV21026 @ cC154 )
& ( iV21026 @ cC60 )
& ( iV21026 @ cC22 )
& ( iV21026 @ cC110 )
& ( iV21026 @ cC158 )
& ( iV21026 @ cC56 )
& ( iV21026 @ cC58 )
& ( iV21026 @ cowlThing )
& ( iV21026 @ cC90 )
& ( iV21026 @ cC10 )
& ( iV21026 @ cC136 )
& ( iV21026 @ cC40 )
& ( iV21026 @ cC108 )
& ! [A: $i] :
( ( ~ ( A @ xsd_integer )
=> ( A @ xsd_string ) )
& ( ( A @ xsd_string )
=> ~ ( A @ xsd_integer ) ) )
& ! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(36,axiom,
! [A: $i] :
( ( A @ cC12 )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
thf(444,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px1 ) )
=> ( A @ cC12 ) )
& ( ( A @ cC12 )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(53,axiom,
iV21035 @ cC18,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_335) ).
thf(513,plain,
iV21035 @ cC18,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(32,axiom,
iV21036 @ cC92,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_336) ).
thf(430,plain,
iV21036 @ cC92,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(65,axiom,
! [A: $i] :
( ( A @ cC50xcomp )
<=> ? [B: $i] : ( B @ ( A @ ra_Px16 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_135) ).
thf(562,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px16 ) )
=> ( A @ cC50xcomp ) )
& ( ( A @ cC50xcomp )
=> ? [B: $i] : ( B @ ( A @ ra_Px16 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(184,axiom,
iV21026 @ cC128xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_197) ).
thf(1007,plain,
iV21026 @ cC128xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[184]) ).
thf(25,axiom,
iV21033 @ cC12xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_319) ).
thf(402,plain,
iV21033 @ cC12xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(3,axiom,
! [A: $i] :
( ( A @ cC26 )
<=> ? [B: $i] : ( B @ ( A @ ra_Px92 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_104) ).
thf(286,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px92 ) )
=> ( A @ cC26 ) )
& ( ( A @ cC26 )
=> ? [B: $i] : ( B @ ( A @ ra_Px92 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(93,axiom,
! [A: $i] :
( ( A @ cC148xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px81 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_59) ).
thf(711,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px81 ) )
=> ( A @ cC148xcomp ) )
& ( ( A @ cC148xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px81 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(167,axiom,
! [A: $i] :
( ( A @ cC60 )
<=> ( ( A @ cC42 )
& ( A @ cC58 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_146) ).
thf(958,plain,
! [A: $i] :
( ( ( ( A @ cC42 )
& ( A @ cC58 ) )
=> ( A @ cC60 ) )
& ( ( A @ cC60 )
=> ( ( A @ cC42 )
& ( A @ cC58 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[167]) ).
thf(266,axiom,
iV21030 @ cC26xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_298) ).
thf(1226,plain,
iV21030 @ cC26xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[266]) ).
thf(131,axiom,
iV21027 @ cC74xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_249) ).
thf(843,plain,
iV21027 @ cC74xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(232,axiom,
iV21026 @ cC28xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_205) ).
thf(1125,plain,
iV21026 @ cC28xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[232]) ).
thf(20,axiom,
iV21036 @ cC18,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_341) ).
thf(382,plain,
iV21036 @ cC18,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(227,axiom,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ( A @ cC74xcomp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_218) ).
thf(1107,plain,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ( A @ cC74xcomp ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[227]) ).
thf(273,axiom,
iV21027 @ cC120xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_231) ).
thf(1239,plain,
iV21027 @ cC120xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[273]) ).
thf(123,axiom,
! [A: $i] :
( ( A @ cC134 )
<=> ( ( A @ cC132 )
& ( A @ cC116 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_41) ).
thf(804,plain,
! [A: $i] :
( ( ( ( A @ cC132 )
& ( A @ cC116 ) )
=> ( A @ cC134 ) )
& ( ( A @ cC134 )
=> ( ( A @ cC132 )
& ( A @ cC116 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(91,axiom,
! [A: $i] :
( ( A @ cC54xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px18 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_141) ).
thf(704,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px18 ) )
=> ( A @ cC54xcomp ) )
& ( ( A @ cC54xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px18 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(74,axiom,
! [A: $i] :
( ( A @ cC120xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px84 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).
thf(611,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px84 ) )
=> ( A @ cC120xcomp ) )
& ( ( A @ cC120xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px84 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(119,axiom,
iV21027 @ cC68xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_236) ).
thf(787,plain,
iV21027 @ cC68xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(254,axiom,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ( A @ cC176xcomp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_192) ).
thf(1194,plain,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ( A @ cC176xcomp ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[254]) ).
thf(188,axiom,
! [A: $i] :
( ( A @ cC110 )
<=> ( ( A @ cTOP )
& ( A @ cC108 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
thf(1011,plain,
! [A: $i] :
( ( ( ( A @ cTOP )
& ( A @ cC108 ) )
=> ( A @ cC110 ) )
& ( ( A @ cC110 )
=> ( ( A @ cTOP )
& ( A @ cC108 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[188]) ).
thf(178,axiom,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ( A @ cC104xcomp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_206) ).
thf(990,plain,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ( A @ cC104xcomp ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[178]) ).
thf(15,axiom,
iV21033 @ cC6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_321) ).
thf(362,plain,
iV21033 @ cC6,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(239,axiom,
! [A: $i] :
( ( A @ cC40 )
<=> ( A @ cTOP ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_122) ).
thf(1144,plain,
! [A: $i] :
( ( ( A @ cTOP )
=> ( A @ cC40 ) )
& ( ( A @ cC40 )
=> ( A @ cTOP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[239]) ).
thf(101,axiom,
iV21029 @ ( iV21026 @ rR1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_225) ).
thf(737,plain,
iV21029 @ ( iV21026 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(202,axiom,
! [A: $i] :
( ( A @ cC132 )
<=> ( ( A @ cTOP )
& ( A @ cC130 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_40) ).
thf(1043,plain,
! [A: $i] :
( ( ( ( A @ cTOP )
& ( A @ cC130 ) )
=> ( A @ cC132 ) )
& ( ( A @ cC132 )
=> ( ( A @ cTOP )
& ( A @ cC130 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[202]) ).
thf(72,axiom,
! [A: $i] :
( ( A @ cC92 )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px28 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_175) ).
thf(599,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px28 ) )
=> ( A @ cC92 ) )
& ( ( A @ cC92 )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px28 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(124,axiom,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ( A @ cC46xcomp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_189) ).
thf(811,plain,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ( A @ cC46xcomp ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(49,axiom,
! [A: $i] :
( ( A @ cC44xcomp )
<=> ? [B: $i] : ( B @ ( A @ ra_Px13 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_126) ).
thf(494,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px13 ) )
=> ( A @ cC44xcomp ) )
& ( ( A @ cC44xcomp )
=> ? [B: $i] : ( B @ ( A @ ra_Px13 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(59,axiom,
! [A: $i] :
( ( A @ cC128xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px44 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_38) ).
thf(535,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px44 ) )
=> ( A @ cC128xcomp ) )
& ( ( A @ cC128xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px44 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(9,axiom,
! [A: $i] :
( ( A @ cC68 )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px88 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_152) ).
thf(323,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px88 ) )
=> ( A @ cC68 ) )
& ( ( A @ cC68 )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px88 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(97,axiom,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ( A @ cC164xcomp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_193) ).
thf(726,plain,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ( A @ cC164xcomp ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(194,axiom,
iV21027 @ cC92,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_232) ).
thf(1029,plain,
iV21027 @ cC92,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[194]) ).
thf(151,axiom,
! [A: $i] :
( ( A @ ( iV21030 @ rR1 ) )
=> ( A @ cC100 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_297) ).
thf(915,plain,
! [A: $i] :
( ( A @ ( iV21030 @ rR1 ) )
=> ( A @ cC100 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[151]) ).
thf(113,axiom,
iV21034 @ ( iV21029 @ rR1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_281) ).
thf(769,plain,
iV21034 @ ( iV21029 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(248,axiom,
! [A: $i] :
( ( A @ cC24 )
<=> ? [B: $i] : ( B @ ( A @ ra_Px5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_101) ).
thf(1177,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px5 ) )
=> ( A @ cC24 ) )
& ( ( A @ cC24 )
=> ? [B: $i] : ( B @ ( A @ ra_Px5 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[248]) ).
thf(160,axiom,
iV21027 @ cC148xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_234) ).
thf(932,plain,
iV21027 @ cC148xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[160]) ).
thf(257,axiom,
! [A: $i] :
( ( A @ cC30 )
<=> ? [B: $i] : ( B @ ( A @ ra_Px8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_110) ).
thf(1198,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px8 ) )
=> ( A @ cC30 ) )
& ( ( A @ cC30 )
=> ? [B: $i] : ( B @ ( A @ ra_Px8 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[257]) ).
thf(278,axiom,
iV21029 @ cC160xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_277) ).
thf(1245,plain,
iV21029 @ cC160xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[278]) ).
thf(138,axiom,
iV21030 @ cC148xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_289) ).
thf(868,plain,
iV21030 @ cC148xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).
thf(118,axiom,
! [A: $i] :
( ( A @ cC24 )
<=> ? [B: $i] :
( ( B @ cC2xcomp )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_102) ).
thf(780,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC2xcomp )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC24 ) )
& ( ( A @ cC24 )
=> ? [B: $i] :
( ( B @ cC2xcomp )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(141,axiom,
iV21026 @ cC34xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_203) ).
thf(883,plain,
iV21026 @ cC34xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).
thf(182,axiom,
! [A: $i] :
( ( A @ cC114 )
<=> ( A @ cTOP ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
thf(1000,plain,
! [A: $i] :
( ( ( A @ cTOP )
=> ( A @ cC114 ) )
& ( ( A @ cC114 )
=> ( A @ cTOP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[182]) ).
thf(35,axiom,
! [A: $i] :
( ( A @ cC176xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px77 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_90) ).
thf(438,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px77 ) )
=> ( A @ cC176xcomp ) )
& ( ( A @ cC176xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px77 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(33,axiom,
iV21035 @ cC6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_333) ).
thf(431,plain,
iV21035 @ cC6,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(156,axiom,
iV21030 @ cC68xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_291) ).
thf(922,plain,
iV21030 @ cC68xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[156]) ).
thf(87,axiom,
! [A: $i] :
( ( A @ cC162xcomp )
<=> ? [B: $i] : ( B @ ( A @ ra_Px55 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_73) ).
thf(685,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px55 ) )
=> ( A @ cC162xcomp ) )
& ( ( A @ cC162xcomp )
=> ? [B: $i] : ( B @ ( A @ ra_Px55 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(55,axiom,
iV21034 @ cC2xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_325) ).
thf(521,plain,
iV21034 @ cC2xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(260,axiom,
iV21026 @ cC172xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_216) ).
thf(1213,plain,
iV21026 @ cC172xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[260]) ).
thf(112,axiom,
iV21030 @ cC96xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_285) ).
thf(768,plain,
iV21030 @ cC96xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(215,axiom,
iV21030 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_306) ).
thf(1076,plain,
iV21030 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[215]) ).
thf(165,axiom,
! [A: $i] :
( ( A @ cC138 )
<=> ( ( A @ cC134 )
& ( A @ cC136 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_43) ).
thf(944,plain,
! [A: $i] :
( ( ( ( A @ cC134 )
& ( A @ cC136 ) )
=> ( A @ cC138 ) )
& ( ( A @ cC138 )
=> ( ( A @ cC134 )
& ( A @ cC136 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[165]) ).
thf(62,axiom,
! [A: $i] :
( ( A @ cC160 )
<=> ? [B: $i] :
( ( B @ cC6xcomp )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_69) ).
thf(548,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC6xcomp )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC160 ) )
& ( ( A @ cC160 )
=> ? [B: $i] :
( ( B @ cC6xcomp )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(80,axiom,
! [A: $i] :
( ( A @ cC24xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_103) ).
thf(648,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px5 ) )
=> ( A @ cC24xcomp ) )
& ( ( A @ cC24xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px5 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(75,axiom,
! [A: $i] :
( ( A @ cC34xcomp )
<=> ? [B: $i] : ( B @ ( A @ ra_Px10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_118) ).
thf(617,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px10 ) )
=> ( A @ cC34xcomp ) )
& ( ( A @ cC34xcomp )
=> ? [B: $i] : ( B @ ( A @ ra_Px10 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(12,axiom,
! [A: $i] :
( ( A @ cC46 )
<=> ( ( A @ cC12xcomp )
& ( A @ cC44xcomp ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_128) ).
thf(342,plain,
! [A: $i] :
( ( ( ( A @ cC12xcomp )
& ( A @ cC44xcomp ) )
=> ( A @ cC46 ) )
& ( ( A @ cC46 )
=> ( ( A @ cC12xcomp )
& ( A @ cC44xcomp ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(189,axiom,
iV21031 @ ( iV21030 @ rR1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_310) ).
thf(1018,plain,
iV21031 @ ( iV21030 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[189]) ).
thf(105,axiom,
iV21030 @ cC164xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_302) ).
thf(754,plain,
iV21030 @ cC164xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(39,axiom,
iV21032 @ cC100,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_314) ).
thf(458,plain,
iV21032 @ cC100,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(130,axiom,
! [A: $i] :
( ( A @ cC168 )
<=> ( ( A @ cC166xcomp )
& ( A @ cC162xcomp ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_80) ).
thf(836,plain,
! [A: $i] :
( ( ( ( A @ cC166xcomp )
& ( A @ cC162xcomp ) )
=> ( A @ cC168 ) )
& ( ( A @ cC168 )
=> ( ( A @ cC166xcomp )
& ( A @ cC162xcomp ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(68,axiom,
! [A: $i] :
( ( A @ cC6 )
<=> ? [B: $i] : ( B @ ( A @ ra_Px27 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_144) ).
thf(580,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px27 ) )
=> ( A @ cC6 ) )
& ( ( A @ cC6 )
=> ? [B: $i] : ( B @ ( A @ ra_Px27 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(191,axiom,
! [A: $i] :
( ( A @ ( iV21030 @ rR1 ) )
=> ( A @ cC18 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_299) ).
thf(1025,plain,
! [A: $i] :
( ( A @ ( iV21030 @ rR1 ) )
=> ( A @ cC18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[191]) ).
thf(265,axiom,
iV21027 @ cC12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_226) ).
thf(1225,plain,
iV21027 @ cC12,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[265]) ).
thf(270,axiom,
iV21029 @ cC126xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_274) ).
thf(1230,plain,
iV21029 @ cC126xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[270]) ).
thf(180,axiom,
iV21029 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_278) ).
thf(993,plain,
iV21029 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[180]) ).
thf(224,axiom,
! [A: $i] :
( ( A @ cC174 )
<=> ( ( A @ cC168 )
& ( A @ cC172xcomp ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_87) ).
thf(1098,plain,
! [A: $i] :
( ( ( ( A @ cC168 )
& ( A @ cC172xcomp ) )
=> ( A @ cC174 ) )
& ( ( A @ cC174 )
=> ( ( A @ cC168 )
& ( A @ cC172xcomp ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[224]) ).
thf(7,axiom,
! [A: $i] :
( ( A @ cC26 )
<=> ( ( A @ cC2xcomp )
& ( A @ cC24xcomp ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_105) ).
thf(310,plain,
! [A: $i] :
( ( ( ( A @ cC2xcomp )
& ( A @ cC24xcomp ) )
=> ( A @ cC26 ) )
& ( ( A @ cC26 )
=> ( ( A @ cC2xcomp )
& ( A @ cC24xcomp ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(205,axiom,
iV21027 @ cC104xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_241) ).
thf(1053,plain,
iV21027 @ cC104xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[205]) ).
thf(85,axiom,
! [A: $i] :
( ( A @ cC68xcomp )
<=> ? [B: $i] : ( B @ ( A @ ra_Px88 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_154) ).
thf(673,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px88 ) )
=> ( A @ cC68xcomp ) )
& ( ( A @ cC68xcomp )
=> ? [B: $i] : ( B @ ( A @ ra_Px88 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(252,axiom,
! [A: $i] :
( ( A @ cC20 )
<=> ? [B: $i] :
( ( B @ cC18xcomp )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_99) ).
thf(1186,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC18xcomp )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC20 ) )
& ( ( A @ cC20 )
=> ? [B: $i] :
( ( B @ cC18xcomp )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[252]) ).
thf(94,axiom,
! [A: $i] :
( ( A @ cC154 )
<=> ( ( A @ cTOP )
& ( A @ cC152 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_64) ).
thf(717,plain,
! [A: $i] :
( ( ( ( A @ cTOP )
& ( A @ cC152 ) )
=> ( A @ cC154 ) )
& ( ( A @ cC154 )
=> ( ( A @ cTOP )
& ( A @ cC152 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(219,axiom,
iV21030 @ cC104xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_295) ).
thf(1085,plain,
iV21030 @ cC104xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[219]) ).
thf(166,axiom,
! [A: $i] :
( ( A @ cC22 )
<=> ( ( A @ cC16 )
& ( A @ cC20 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_100) ).
thf(951,plain,
! [A: $i] :
( ( ( ( A @ cC16 )
& ( A @ cC20 ) )
=> ( A @ cC22 ) )
& ( ( A @ cC22 )
=> ( ( A @ cC16 )
& ( A @ cC20 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[166]) ).
thf(197,axiom,
iV21030 @ cC126xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_301) ).
thf(1038,plain,
iV21030 @ cC126xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[197]) ).
thf(18,axiom,
! [A: $i] :
( ( A @ cC52xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px89 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_138) ).
thf(370,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px89 ) )
=> ( A @ cC52xcomp ) )
& ( ( A @ cC52xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px89 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(11,axiom,
! [A: $i] :
( ( A @ cC170 )
<=> ? [B: $i] : ( B @ ( A @ ra_Px78 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_81) ).
thf(336,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px78 ) )
=> ( A @ cC170 ) )
& ( ( A @ cC170 )
=> ? [B: $i] : ( B @ ( A @ ra_Px78 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(236,axiom,
iV21029 @ cC164xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_275) ).
thf(1141,plain,
iV21029 @ cC164xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[236]) ).
thf(185,axiom,
iV21027 @ cC96xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_229) ).
thf(1008,plain,
iV21027 @ cC96xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[185]) ).
thf(140,axiom,
! [A: $i] :
( ( A @ cC44 )
<=> ? [B: $i] :
( ( B @ cC2xcomp )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_125) ).
thf(876,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC2xcomp )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC44 ) )
& ( ( A @ cC44 )
=> ? [B: $i] :
( ( B @ cC2xcomp )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).
thf(274,axiom,
iV21030 @ cC170xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_286) ).
thf(1240,plain,
iV21030 @ cC170xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[274]) ).
thf(173,axiom,
! [A: $i] :
( ( A @ cC4 )
<=> ? [B: $i] :
( ( B @ cC2xcomp )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_121) ).
thf(978,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC2xcomp )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC4 ) )
& ( ( A @ cC4 )
=> ? [B: $i] :
( ( B @ cC2xcomp )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[173]) ).
thf(235,axiom,
iV21026 @ cC150xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_187) ).
thf(1140,plain,
iV21026 @ cC150xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[235]) ).
thf(133,axiom,
! [A: $i] :
( ( A @ cTEST )
<=> ( ( A @ cC180 )
& ( A @ cC158 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_186) ).
thf(845,plain,
! [A: $i] :
( ( ( ( A @ cC180 )
& ( A @ cC158 ) )
=> ( A @ cTEST ) )
& ( ( A @ cTEST )
=> ( ( A @ cC180 )
& ( A @ cC158 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(41,axiom,
! [A: $i] :
( ( A @ cC26xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px92 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_106) ).
thf(465,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px92 ) )
=> ( A @ cC26xcomp ) )
& ( ( A @ cC26xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px92 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(37,axiom,
! [A: $i] :
( ( A @ cC94 )
<=> ? [B: $i] :
( ( B @ cC6xcomp )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_178) ).
thf(450,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC6xcomp )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC94 ) )
& ( ( A @ cC94 )
=> ? [B: $i] :
( ( B @ cC6xcomp )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(16,axiom,
! [A: $i] :
( ( A @ cC18 )
<=> ? [B: $i] : ( B @ ( A @ ra_Px2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_94) ).
thf(363,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px2 ) )
=> ( A @ cC18 ) )
& ( ( A @ cC18 )
=> ? [B: $i] : ( B @ ( A @ ra_Px2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(159,axiom,
iV21026 @ cC166xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_198) ).
thf(931,plain,
iV21026 @ cC166xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[159]) ).
thf(171,axiom,
iV21030 @ cC176xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_284) ).
thf(976,plain,
iV21030 @ cC176xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[171]) ).
thf(233,axiom,
! [A: $i] :
( ( A @ cC108 )
<=> ( ( A @ cC106xcomp )
& ( A @ cC98xcomp ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
thf(1126,plain,
! [A: $i] :
( ( ( ( A @ cC106xcomp )
& ( A @ cC98xcomp ) )
=> ( A @ cC108 ) )
& ( ( A @ cC108 )
=> ( ( A @ cC106xcomp )
& ( A @ cC98xcomp ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[233]) ).
thf(187,axiom,
iV21029 @ cC100,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_276) ).
thf(1010,plain,
iV21029 @ cC100,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[187]) ).
thf(132,axiom,
iV21026 @ cC178xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_220) ).
thf(844,plain,
iV21026 @ cC178xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(115,axiom,
! [A: $i] :
( ( A @ cC72 )
<=> ? [B: $i] : ( B @ ( A @ ra_Px24 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_158) ).
thf(771,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px24 ) )
=> ( A @ cC72 ) )
& ( ( A @ cC72 )
=> ? [B: $i] : ( B @ ( A @ ra_Px24 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(263,axiom,
! [A: $i] :
( ( A @ cC152 )
<=> ( ( A @ cC150xcomp )
& ( A @ cC144xcomp ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_63) ).
thf(1216,plain,
! [A: $i] :
( ( ( ( A @ cC150xcomp )
& ( A @ cC144xcomp ) )
=> ( A @ cC152 ) )
& ( ( A @ cC152 )
=> ( ( A @ cC150xcomp )
& ( A @ cC144xcomp ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[263]) ).
thf(144,axiom,
iV21027 @ cC100,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_246) ).
thf(891,plain,
iV21027 @ cC100,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[144]) ).
thf(125,axiom,
iV21030 @ cC32xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_308) ).
thf(813,plain,
iV21030 @ cC32xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(6,axiom,
! [A: $i] :
( ( A @ cC46 )
<=> ? [B: $i] : ( B @ ( A @ ra_Px90 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_127) ).
thf(304,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px90 ) )
=> ( A @ cC46 ) )
& ( ( A @ cC46 )
=> ? [B: $i] : ( B @ ( A @ ra_Px90 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(209,axiom,
! [A: $i] :
( ( A @ cC80 )
<=> ( ( A @ cTOP )
& ( A @ cC78 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_169) ).
thf(1062,plain,
! [A: $i] :
( ( ( ( A @ cTOP )
& ( A @ cC78 ) )
=> ( A @ cC80 ) )
& ( ( A @ cC80 )
=> ( ( A @ cTOP )
& ( A @ cC78 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[209]) ).
thf(23,axiom,
! [A: $i] :
( ( A @ cC46xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px90 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_129) ).
thf(390,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px90 ) )
=> ( A @ cC46xcomp ) )
& ( ( A @ cC46xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px90 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(277,axiom,
iV21028 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_254) ).
thf(1244,plain,
iV21028 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[277]) ).
thf(195,axiom,
! [A: $i] :
( ( A @ cC136 )
<=> ( A @ cTOP ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_42) ).
thf(1030,plain,
! [A: $i] :
( ( ( A @ cTOP )
=> ( A @ cC136 ) )
& ( ( A @ cC136 )
=> ( A @ cTOP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[195]) ).
thf(66,axiom,
! [A: $i] :
( ( A @ cC2xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_98) ).
thf(568,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px3 ) )
=> ( A @ cC2xcomp ) )
& ( ( A @ cC2xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px3 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(84,axiom,
! [A: $i] :
( ( A @ cC100 )
<=> ? [B: $i] : ( B @ ( A @ ra_Px33 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
thf(667,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px33 ) )
=> ( A @ cC100 ) )
& ( ( A @ cC100 )
=> ? [B: $i] : ( B @ ( A @ ra_Px33 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(253,axiom,
iV21029 @ cC176xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_256) ).
thf(1193,plain,
iV21029 @ cC176xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[253]) ).
thf(108,axiom,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ( A @ cC96xcomp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_208) ).
thf(763,plain,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ( A @ cC96xcomp ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(21,axiom,
iV21032 @ cC92,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_313) ).
thf(383,plain,
iV21032 @ cC92,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(244,axiom,
! [A: $i] :
( ( A @ cC78 )
<=> ( ( A @ cC76xcomp )
& ( A @ cC70xcomp ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_167) ).
thf(1161,plain,
! [A: $i] :
( ( ( ( A @ cC76xcomp )
& ( A @ cC70xcomp ) )
=> ( A @ cC78 ) )
& ( ( A @ cC78 )
=> ( ( A @ cC76xcomp )
& ( A @ cC70xcomp ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[244]) ).
thf(216,axiom,
iV21026 @ cC122xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_210) ).
thf(1077,plain,
iV21026 @ cC122xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[216]) ).
thf(43,axiom,
iV21034 @ cC6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_327) ).
thf(478,plain,
iV21034 @ cC6,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(229,axiom,
! [A: $i] :
( ( A @ ( iV21027 @ rR1 ) )
=> ( A @ cC100 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_240) ).
thf(1116,plain,
! [A: $i] :
( ( A @ ( iV21027 @ rR1 ) )
=> ( A @ cC100 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[229]) ).
thf(234,axiom,
! [A: $i] :
( ( A @ cC56 )
<=> ( ( A @ cC54xcomp )
& ( A @ cC48xcomp ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_142) ).
thf(1133,plain,
! [A: $i] :
( ( ( ( A @ cC54xcomp )
& ( A @ cC48xcomp ) )
=> ( A @ cC56 ) )
& ( ( A @ cC56 )
=> ( ( A @ cC54xcomp )
& ( A @ cC48xcomp ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[234]) ).
thf(104,axiom,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ( A @ cC26xcomp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_202) ).
thf(752,plain,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ( A @ cC26xcomp ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(34,axiom,
! [A: $i] :
( ( A @ cC72xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px24 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_160) ).
thf(432,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px24 ) )
=> ( A @ cC72xcomp ) )
& ( ( A @ cC72xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px24 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(269,axiom,
iV21029 @ cC148xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_262) ).
thf(1229,plain,
iV21029 @ cC148xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[269]) ).
thf(136,axiom,
! [A: $i] :
( ( A @ cC180 )
<=> ( ( A @ cC178xcomp )
& ( A @ cC174 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_96) ).
thf(854,plain,
! [A: $i] :
( ( ( ( A @ cC178xcomp )
& ( A @ cC174 ) )
=> ( A @ cC180 ) )
& ( ( A @ cC180 )
=> ( ( A @ cC178xcomp )
& ( A @ cC174 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(121,axiom,
! [A: $i] :
( ( A @ cC38 )
<=> ( ( A @ cTOP )
& ( A @ cC36 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_120) ).
thf(790,plain,
! [A: $i] :
( ( ( ( A @ cTOP )
& ( A @ cC36 ) )
=> ( A @ cC38 ) )
& ( ( A @ cC38 )
=> ( ( A @ cTOP )
& ( A @ cC36 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(28,axiom,
iV21035 @ cC12xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_331) ).
thf(410,plain,
iV21035 @ cC12xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(169,axiom,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ( A @ cC148xcomp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_194) ).
thf(967,plain,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ( A @ cC148xcomp ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[169]) ).
thf(153,axiom,
! [A: $i] :
( ( A @ ( iV21030 @ rR1 ) )
=> ( A @ cC92 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_303) ).
thf(918,plain,
! [A: $i] :
( ( A @ ( iV21030 @ rR1 ) )
=> ( A @ cC92 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[153]) ).
thf(51,axiom,
iV21033 @ cC18,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_323) ).
thf(506,plain,
iV21033 @ cC18,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(111,axiom,
iV21036 @ ( iV21027 @ rR1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_252) ).
thf(767,plain,
iV21036 @ ( iV21027 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(208,axiom,
! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(1056,plain,
! [A: $i] :
( ( ~ ( A @ xsd_integer )
=> ( A @ xsd_string ) )
& ( ( A @ xsd_string )
=> ~ ( A @ xsd_integer ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[208]) ).
thf(256,axiom,
iV21030 @ cC142xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_290) ).
thf(1197,plain,
iV21030 @ cC142xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[256]) ).
thf(78,axiom,
! [A: $i] :
( ( A @ cC102 )
<=> ? [B: $i] :
( ( B @ cC6xcomp )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
thf(635,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC6xcomp )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC102 ) )
& ( ( A @ cC102 )
=> ? [B: $i] :
( ( B @ cC6xcomp )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(98,axiom,
iV21028 @ ( iV21026 @ rR1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_224) ).
thf(728,plain,
iV21028 @ ( iV21026 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(175,axiom,
iV21032 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_316) ).
thf(987,plain,
iV21032 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[175]) ).
thf(190,axiom,
! [A: $i] :
( ( A @ cC66 )
<=> ? [B: $i] : ( B @ ( A @ ra_Px21 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_149) ).
thf(1019,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px21 ) )
=> ( A @ cC66 ) )
& ( ( A @ cC66 )
=> ? [B: $i] : ( B @ ( A @ ra_Px21 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[190]) ).
thf(57,axiom,
! [A: $i] :
( ( A @ cC144xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px51 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_53) ).
thf(528,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px51 ) )
=> ( A @ cC144xcomp ) )
& ( ( A @ cC144xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px51 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(40,axiom,
! [A: $i] :
( ( A @ cC2 )
<=> ? [B: $i] : ( B @ ( A @ ra_Px3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_97) ).
thf(459,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px3 ) )
=> ( A @ cC2 ) )
& ( ( A @ cC2 )
=> ? [B: $i] : ( B @ ( A @ ra_Px3 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(128,axiom,
! [A: $i] :
( ( A @ cC30 )
<=> ? [B: $i] :
( ( B @ cC12xcomp )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_111) ).
thf(822,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC12xcomp )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC30 ) )
& ( ( A @ cC30 )
=> ? [B: $i] :
( ( B @ cC12xcomp )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(88,axiom,
iV21036 @ cC6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_339) ).
thf(691,plain,
iV21036 @ cC6,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(17,axiom,
iV21034 @ cC92,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_324) ).
thf(369,plain,
iV21034 @ cC92,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(149,axiom,
iV21027 @ cC126xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_244) ).
thf(908,plain,
iV21027 @ cC126xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[149]) ).
thf(179,axiom,
iV21027 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_248) ).
thf(992,plain,
iV21027 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[179]) ).
thf(46,axiom,
! [A: $i] :
( ( A @ cC178xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px60 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_93) ).
thf(486,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px60 ) )
=> ( A @ cC178xcomp ) )
& ( ( A @ cC178xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px60 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(157,axiom,
iV21027 @ cC176xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_228) ).
thf(923,plain,
iV21027 @ cC176xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[157]) ).
thf(250,axiom,
iV21029 @ cC2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_270) ).
thf(1184,plain,
iV21029 @ cC2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[250]) ).
thf(106,axiom,
! [A: $i] :
( ( A @ cC16 )
<=> ( ( A @ cC14 )
& ( A @ cC10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_67) ).
thf(755,plain,
! [A: $i] :
( ( ( ( A @ cC14 )
& ( A @ cC10 ) )
=> ( A @ cC16 ) )
& ( ( A @ cC16 )
=> ( ( A @ cC14 )
& ( A @ cC10 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(221,axiom,
iV21027 @ cC160xcomp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_247) ).
thf(1088,plain,
iV21027 @ cC160xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[221]) ).
thf(258,axiom,
! [A: $i] :
( ( A @ ( iV21029 @ rR1 ) )
=> ( A @ cC6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_255) ).
thf(1204,plain,
! [A: $i] :
( ( A @ ( iV21029 @ rR1 ) )
=> ( A @ cC6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[258]) ).
thf(210,axiom,
! [A: $i] :
( ( A @ ( iV21027 @ rR1 ) )
=> ( A @ cC18 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_227) ).
thf(1069,plain,
! [A: $i] :
( ( A @ ( iV21027 @ rR1 ) )
=> ( A @ cC18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[210]) ).
thf(163,axiom,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ( A @ cC142xcomp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_212) ).
thf(935,plain,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ( A @ cC142xcomp ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[163]) ).
thf(186,axiom,
iV21027 @ ( iV21026 @ rR1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_223) ).
thf(1009,plain,
iV21027 @ ( iV21026 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[186]) ).
thf(1248,plain,
$false,
inference(e,[status(thm)],[892,1036,629,1168,909,479,1105,777,555,977,762,730,994,1073,1142,655,1041,861,1078,384,500,797,814,698,1196,417,885,1228,829,404,587,917,934,542,1055,724,902,853,969,770,924,492,376,623,514,574,1183,1051,480,1040,1109,1151,937,766,1169,1215,692,1072,1119,396,1242,507,411,988,1074,292,1206,920,661,1153,534,1091,1042,349,561,424,788,815,729,1238,1223,894,852,329,522,493,710,1106,1079,1027,1089,1143,317,1227,725,403,1006,356,593,869,1118,989,471,884,1160,1028,933,901,642,1214,679,1039,985,1150,738,1231,654,779,605,1050,457,1086,1241,921,541,1170,1071,1185,586,765,1054,298,965,745,279,444,513,430,562,1007,402,286,711,958,1226,843,1125,382,1107,1239,804,704,611,787,1194,1011,990,362,1144,737,1043,599,811,494,535,323,726,1029,915,769,1177,932,1198,1245,868,780,883,1000,438,431,922,685,521,1213,768,1076,944,548,648,617,342,1018,754,458,836,580,1025,1225,1230,993,1098,310,1053,673,1186,717,1085,951,1038,370,336,1141,1008,876,1240,978,1140,845,465,450,363,931,976,1126,1010,844,771,1216,891,813,304,1062,390,1244,1030,568,667,1193,763,383,1161,1077,478,1116,1133,752,432,1229,854,790,410,967,918,506,767,1056,1197,635,728,987,1019,528,459,822,691,369,908,992,486,923,1184,755,1088,1204,1069,935,1009]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS159+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.11 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.21/15.49 % Computer : n002.cluster.edu
% 0.21/15.49 % Model : x86_64 x86_64
% 0.21/15.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/15.49 % Memory : 8046.5625MB
% 0.21/15.49 % OS : Linux 6.8.0-71-generic
% 0.21/15.49 % CPULimit : 300
% 0.21/15.49 % WCLimit : 300
% 0.21/15.49 % DateTime : Fri Sep 25 19:44:52 UTC 2026
% 0.21/15.50 % CPUTime :
% 0.21/15.50 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.27/16.00 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 2.17/16.33 % [INFO] Parsing done (337ms).
% 2.17/16.35 % [INFO] Running in sequential loop mode.
% 3.08/16.69 % [INFO] eprover registered as external prover.
% 3.08/16.69 % [INFO] Scanning for conjecture ...
% 3.63/16.86 % [INFO] Found a conjecture (or negated_conjecture) and 342 axioms. Running axiom selection ...
% 4.63/17.06 % [INFO] Axiom selection finished. Selected 276 axioms (removed 66 axioms).
% 5.01/17.19 % [INFO] Problem is first-order (TPTP FOF).
% 5.15/17.21 % [INFO] Type checking passed.
% 5.15/17.21 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 16.83/20.16 % External prover 'e' found a proof!
% 16.83/20.16 % [INFO] Killing All external provers ...
% 16.83/20.17 % Time passed: 4521ms (effective reasoning time: 3813ms)
% 16.83/20.17 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 16.83/20.17 % Axioms used in derivation (276): axiom_26, axiom_232, axiom_136, axiom_248, axiom_243, axiom_322, axiom_114, axiom_315, axiom_119, axiom_293, axiom_174, axiom_254, axiom_10, axiom_40, axiom_221, axiom_22, axiom_152, axiom_163, axiom_282, axiom_59, axiom_340, axiom_259, axiom_125, axiom_326, axiom_271, axiom_311, axiom_265, axiom_185, axiom_217, axiom_44, axiom_237, axiom_298, axiom_198, axiom_214, axiom_168, axiom_206, axiom_15, axiom_95, axiom_191, axiom_121, axiom_307, axiom_233, axiom_332, axiom_260, axiom_73, axiom_141, axiom_226, axiom_67, axiom_287, axiom_300, axiom_337, axiom_244, axiom_304, axiom_157, axiom_195, axiom_99, axiom_318, axiom_69, axiom_258, axiom_276, axiom_329, axiom_222, axiom_203, axiom_63, axiom_110, axiom_103, axiom_38, axiom_146, axiom_170, axiom_147, axiom_220, axiom_296, axiom_266, axiom_2, axiom_285, axiom_129, axiom_79, axiom_151, axiom_314, axiom_299, axiom_158, axiom_255, axiom_43, axiom_173, axiom_321, axiom_162, axiom_267, axiom_137, axiom_143, axiom_218, axiom_289, axiom_6, axiom_169, axiom_144, axiom_281, axiom_238, axiom_118, axiom_132, axiom_208, axiom_274, axiom_187, axiom_126, axiom_310, axiom_245, axiom_196, axiom_133, axiom_325, axiom_100, axiom_234, axiom_148, axiom_64, axiom_277, axiom_16, axiom_263, axiom_308, axiom_159, axiom_288, axiom_50, axiom_227, axiom_122, axiom_81, axiom_111, axiom_213, axiom_207, axiom_270, axiom_3, axiom_96, axiom_249, axiom_192, axiom_68, axiom_336, axiom_104, axiom_202, axiom_292, axiom_241, axiom_154, axiom_303, axiom_256, axiom_319, axiom_223, axiom_70, axiom_115, axiom_205, axiom_309, axiom_145, axiom_42, axiom_320, axiom_331, axiom_273, axiom_280, axiom_90, axiom_1, axiom_212, axiom_230, axiom_257, axiom_138, axiom_127, axiom_246, axiom_324, axiom_224, axiom_252, axiom_209, axiom_235, axiom_313, axiom_105, axiom_291, axiom_35, axiom_229, axiom_150, axiom_216, axiom_53, axiom_197, axiom_338, axiom_167, axiom_189, axiom_101, axiom_112, axiom_65, axiom_295, axiom_219, axiom_39, axiom_251, axiom_80, axiom_97, axiom_17, axiom_161, axiom_302, axiom_193, axiom_316, axiom_86, axiom_201, axiom_305, axiom_262, axiom_149, axiom_268, axiom_278, axiom_172, axiom_330, axiom_279, axiom_284, axiom_240, axiom_166, axiom_335, axiom_327, axiom_341, axiom_13, axiom_93, axiom_134, axiom_123, axiom_82, axiom_188, axiom_41, axiom_128, axiom_171, axiom_109, axiom_211, axiom_225, axiom_200, axiom_76, axiom_242, axiom_290, axiom_182, axiom_194, axiom_247, axiom_204, axiom_323, axiom_153, axiom_0, axiom_62, axiom_231, axiom_253, axiom_199, axiom_272, axiom_215, axiom_160, axiom_261, axiom_175, axiom_29, axiom_264, axiom_186, axiom_23, axiom_236, axiom_312, axiom_106, axiom_239, axiom_18, axiom_87, axiom_306, axiom_286, axiom_113, axiom_301, axiom_228, axiom_317, axiom_339, axiom_98, axiom_250, axiom_102, axiom_178, axiom_297, axiom_142, axiom_333, axiom_283, axiom_275, axiom_334, axiom_83, axiom_14, axiom_124, axiom_120, axiom_269, axiom_328, axiom_190, axiom_294, axiom_210, axiom_66, axiom_135, axiom_94
% 16.83/20.17 % No. of inferences in proof: 556
% 16.83/20.17 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 4521 ms resp. 3813 ms w/o parsing
% 17.73/20.48 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 17.73/20.48 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------