%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : KRS151+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 : n003.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 07:44:46 AM UTC 2026
% Result : Theorem 11.16s 4.16s
% Output : Refutation 11.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 243
% Syntax : Number of formulae : 488 ( 255 unt; 0 typ; 0 def)
% Number of atoms : 1288 ( 0 equ; 0 cnn)
% Maximal formula atoms : 56 ( 2 avg)
% Number of connectives : 2641 ( 370 ~; 0 |; 482 &;1471 @)
% ( 88 <=>; 230 =>; 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 : 109 ( 108 usr; 12 con; 0-2 aty)
% Number of variables : 344 ( 0 ^; 236 !; 108 ?; 344 :)
% 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(iV21026_decl,type,
iV21026: $i ).
thf(cC84_decl,type,
cC84: $i > $o ).
thf(cC16_decl,type,
cC16: $i > $o ).
thf(cC36_decl,type,
cC36: $i > $o ).
thf(cC42_decl,type,
cC42: $i > $o ).
thf(cC88_decl,type,
cC88: $i > $o ).
thf(cC86_decl,type,
cC86: $i > $o ).
thf(cC174_decl,type,
cC174: $i > $o ).
thf(cC20_decl,type,
cC20: $i > $o ).
thf(cC156_decl,type,
cC156: $i > $o ).
thf(cC60_decl,type,
cC60: $i > $o ).
thf(cC38_decl,type,
cC38: $i > $o ).
thf(cC158_decl,type,
cC158: $i > $o ).
thf(cC10_decl,type,
cC10: $i > $o ).
thf(cC134_decl,type,
cC134: $i > $o ).
thf(cC22_decl,type,
cC22: $i > $o ).
thf(cC168_decl,type,
cC168: $i > $o ).
thf(cC56_decl,type,
cC56: $i > $o ).
thf(cC78_decl,type,
cC78: $i > $o ).
thf(cC58_decl,type,
cC58: $i > $o ).
thf(cC152_decl,type,
cC152: $i > $o ).
thf(cC40_decl,type,
cC40: $i > $o ).
thf(cC132_decl,type,
cC132: $i > $o ).
thf(cC130_decl,type,
cC130: $i > $o ).
thf(cC62_decl,type,
cC62: $i > $o ).
thf(cC154_decl,type,
cC154: $i > $o ).
thf(cC80_decl,type,
cC80: $i > $o ).
thf(cC8_decl,type,
cC8: $i > $o ).
thf(cC136_decl,type,
cC136: $i > $o ).
thf(cC112_decl,type,
cC112: $i > $o ).
thf(cC180_decl,type,
cC180: $i > $o ).
thf(cC114_decl,type,
cC114: $i > $o ).
thf(cC64_decl,type,
cC64: $i > $o ).
thf(cC110_decl,type,
cC110: $i > $o ).
thf(cC116_decl,type,
cC116: $i > $o ).
thf(cC82_decl,type,
cC82: $i > $o ).
thf(cC138_decl,type,
cC138: $i > $o ).
thf(cC4_decl,type,
cC4: $i > $o ).
thf(cC108_decl,type,
cC108: $i > $o ).
thf(cC14_decl,type,
cC14: $i > $o ).
thf(cC90_decl,type,
cC90: $i > $o ).
thf(iV21027_decl,type,
iV21027: $i ).
thf(cC30_decl,type,
cC30: $i > $o ).
thf(cC24_decl,type,
cC24: $i > $o ).
thf(iV21029_decl,type,
iV21029: $i ).
thf(cC50_decl,type,
cC50: $i > $o ).
thf(cC44_decl,type,
cC44: $i > $o ).
thf(iV21030_decl,type,
iV21030: $i ).
thf(cC66_decl,type,
cC66: $i > $o ).
thf(cC72_decl,type,
cC72: $i > $o ).
thf(cC144_decl,type,
cC144: $i > $o ).
thf(rR1_decl,type,
rR1: $i > $i > $o ).
thf(cC142_decl,type,
cC142: $i > $o ).
thf(cC100_decl,type,
cC100: $i > $o ).
thf(iV21035_decl,type,
iV21035: $i ).
thf(cC2_decl,type,
cC2: $i > $o ).
thf(iV21032_decl,type,
iV21032: $i ).
thf(cC140_decl,type,
cC140: $i > $o ).
thf(cC92_decl,type,
cC92: $i > $o ).
thf(iV21033_decl,type,
iV21033: $i ).
thf(cC172_decl,type,
cC172: $i > $o ).
thf(cC170_decl,type,
cC170: $i > $o ).
thf(cC120_decl,type,
cC120: $i > $o ).
thf(cC118_decl,type,
cC118: $i > $o ).
thf(cC150_decl,type,
cC150: $i > $o ).
thf(cC148_decl,type,
cC148: $i > $o ).
thf(cC28_decl,type,
cC28: $i > $o ).
thf(cC26_decl,type,
cC26: $i > $o ).
thf(cC94_decl,type,
cC94: $i > $o ).
thf(cC6_decl,type,
cC6: $i > $o ).
thf(cC98_decl,type,
cC98: $i > $o ).
thf(cC96_decl,type,
cC96: $i > $o ).
thf(cC106_decl,type,
cC106: $i > $o ).
thf(cC104_decl,type,
cC104: $i > $o ).
thf(cC146_decl,type,
cC146: $i > $o ).
thf(iV21036_decl,type,
iV21036: $i ).
thf(cC126_decl,type,
cC126: $i > $o ).
thf(cC124_decl,type,
cC124: $i > $o ).
thf(cC48_decl,type,
cC48: $i > $o ).
thf(cC46_decl,type,
cC46: $i > $o ).
thf(cC178_decl,type,
cC178: $i > $o ).
thf(cC176_decl,type,
cC176: $i > $o ).
thf(iV21034_decl,type,
iV21034: $i ).
thf(cC128_decl,type,
cC128: $i > $o ).
thf(cC102_decl,type,
cC102: $i > $o ).
thf(cC164_decl,type,
cC164: $i > $o ).
thf(cC122_decl,type,
cC122: $i > $o ).
thf(cC76_decl,type,
cC76: $i > $o ).
thf(cC74_decl,type,
cC74: $i > $o ).
thf(cC18_decl,type,
cC18: $i > $o ).
thf(cC160_decl,type,
cC160: $i > $o ).
thf(cC166_decl,type,
cC166: $i > $o ).
thf(cC54_decl,type,
cC54: $i > $o ).
thf(cC52_decl,type,
cC52: $i > $o ).
thf(cC12_decl,type,
cC12: $i > $o ).
thf(cC70_decl,type,
cC70: $i > $o ).
thf(cC68_decl,type,
cC68: $i > $o ).
thf(cC162_decl,type,
cC162: $i > $o ).
thf(cC34_decl,type,
cC34: $i > $o ).
thf(cC32_decl,type,
cC32: $i > $o ).
thf(cTOP_decl,type,
cTOP: $i > $o ).
thf(iV21031_decl,type,
iV21031: $i ).
thf(iV21028_decl,type,
iV21028: $i ).
thf(cTEST_decl,type,
cTEST: $i > $o ).
thf(105,axiom,
iV21030 @ ( iV21026 @ rR1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_122) ).
thf(645,plain,
iV21030 @ ( iV21026 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(220,axiom,
! [A: $i] :
( ( A @ cC168 )
<=> ( ~ ( A @ cC162 )
& ~ ( A @ cC166 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_38) ).
thf(1036,plain,
! [A: $i] :
( ( ( ~ ( A @ cC162 )
& ~ ( A @ cC166 ) )
=> ( A @ cC168 ) )
& ( ( A @ cC168 )
=> ( ~ ( A @ cC162 )
& ~ ( A @ cC166 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[220]) ).
thf(102,axiom,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ~ ( A @ cC142 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_107) ).
thf(629,plain,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ~ ( A @ cC142 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(216,axiom,
iV21029 @ cC2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_164) ).
thf(1024,plain,
iV21029 @ cC2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[216]) ).
thf(25,axiom,
! [A: $i] :
( ( A @ cC102 )
<=> ? [B: $i] :
( ~ ( B @ cC6 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
thf(365,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC6 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC102 ) )
& ( ( A @ cC102 )
=> ? [B: $i] :
( ~ ( B @ cC6 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(52,axiom,
iV21033 @ cC6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_221) ).
thf(479,plain,
iV21033 @ cC6,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(163,axiom,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ~ ( A @ cC68 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_102) ).
thf(846,plain,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ~ ( A @ cC68 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[163]) ).
thf(183,axiom,
~ ( iV21026 @ cC166 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_101) ).
thf(909,plain,
~ ( iV21026 @ cC166 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[183]) ).
thf(111,axiom,
! [A: $i] :
( ( A @ cC88 )
<=> ( A @ cTOP ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_81) ).
thf(666,plain,
! [A: $i] :
( ( ( A @ cTOP )
=> ( A @ cC88 ) )
& ( ( A @ cC88 )
=> ( A @ cTOP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(54,axiom,
! [A: $i] :
( ( A @ cC162 )
<=> ? [B: $i] :
( ( B @ cC160 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_35) ).
thf(481,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC160 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC162 ) )
& ( ( A @ cC162 )
=> ? [B: $i] :
( ( B @ cC160 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(87,axiom,
! [A: $i] :
( ( A @ cC64 )
<=> ( ( A @ cC60 )
& ( A @ cC62 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_68) ).
thf(582,plain,
! [A: $i] :
( ( ( ( A @ cC60 )
& ( A @ cC62 ) )
=> ( A @ cC64 ) )
& ( ( A @ cC64 )
=> ( ( A @ cC60 )
& ( A @ cC62 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(205,axiom,
iV21030 @ cC100,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_198) ).
thf(994,plain,
iV21030 @ cC100,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[205]) ).
thf(27,axiom,
iV21036 @ cC100,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_237) ).
thf(379,plain,
iV21036 @ cC100,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(7,axiom,
iV21033 @ cC92,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_218) ).
thf(269,plain,
iV21033 @ cC92,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(92,axiom,
! [A: $i] :
( ( A @ cC132 )
<=> ( ( A @ cC130 )
& ( A @ cTOP ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
thf(597,plain,
! [A: $i] :
( ( ( ( A @ cC130 )
& ( A @ cTOP ) )
=> ( A @ cC132 ) )
& ( ( A @ cC132 )
=> ( ( A @ cC130 )
& ( A @ cTOP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(173,axiom,
iV21031 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_211) ).
thf(878,plain,
iV21031 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[173]) ).
thf(108,axiom,
! [A: $i] :
( ( A @ cC44 )
<=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_58) ).
thf(655,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC44 ) )
& ( ( A @ cC44 )
=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(30,axiom,
! [A: $i] :
( ( A @ cC122 )
<=> ? [B: $i] :
( ( B @ cC120 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
thf(384,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC120 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC122 ) )
& ( ( A @ cC122 )
=> ? [B: $i] :
( ( B @ cC120 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(67,axiom,
~ ( iV21029 @ cC164 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_177) ).
thf(533,plain,
~ ( iV21029 @ cC164 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(73,axiom,
iV21036 @ ( iV21027 @ rR1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_152) ).
thf(550,plain,
iV21036 @ ( iV21027 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(122,axiom,
! [A: $i] :
( ( A @ cC116 )
<=> ( ( A @ cC112 )
& ( A @ cC114 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
thf(715,plain,
! [A: $i] :
( ( ( ( A @ cC112 )
& ( A @ cC114 ) )
=> ( A @ cC116 ) )
& ( ( A @ cC116 )
=> ( ( A @ cC112 )
& ( A @ cC114 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(185,axiom,
~ ( iV21026 @ cC128 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_115) ).
thf(913,plain,
~ ( iV21026 @ cC128 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[185]) ).
thf(231,axiom,
! [A: $i] :
( ( A @ cC52 )
<=> ( ~ ( A @ cC50 )
& ~ ( A @ cC12 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_62) ).
thf(1063,plain,
! [A: $i] :
( ( ( ~ ( A @ cC50 )
& ~ ( A @ cC12 ) )
=> ( A @ cC52 ) )
& ( ( A @ cC52 )
=> ( ~ ( A @ cC50 )
& ~ ( A @ cC12 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[231]) ).
thf(180,axiom,
! [A: $i] :
( ( A @ ( iV21029 @ rR1 ) )
=> ( A @ cC100 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_159) ).
thf(898,plain,
! [A: $i] :
( ( A @ ( iV21029 @ rR1 ) )
=> ( A @ cC100 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[180]) ).
thf(160,axiom,
~ ( iV21029 @ cC160 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_178) ).
thf(841,plain,
~ ( iV21029 @ cC160 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[160]) ).
thf(40,axiom,
! [A: $i] :
( ( A @ cC166 )
<=> ? [B: $i] :
( ( B @ cC164 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_37) ).
thf(436,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC164 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC166 ) )
& ( ( A @ cC166 )
=> ? [B: $i] :
( ( B @ cC164 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(156,axiom,
! [A: $i] :
( ( A @ cC110 )
<=> ( ( A @ cTOP )
& ( A @ cC108 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
thf(829,plain,
! [A: $i] :
( ( ( ( A @ cTOP )
& ( A @ cC108 ) )
=> ( A @ cC110 ) )
& ( ( A @ cC110 )
=> ( ( A @ cTOP )
& ( A @ cC108 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[156]) ).
thf(240,axiom,
iV21027 @ cC12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_131) ).
thf(1095,plain,
iV21027 @ cC12,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[240]) ).
thf(16,axiom,
! [A: $i] :
( ( A @ cC148 )
<=> ( ~ ( A @ cC100 )
& ~ ( A @ cC146 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).
thf(320,plain,
! [A: $i] :
( ( ( ~ ( A @ cC100 )
& ~ ( A @ cC146 ) )
=> ( A @ cC148 ) )
& ( ( A @ cC148 )
=> ( ~ ( A @ cC100 )
& ~ ( A @ cC146 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(80,axiom,
iV21029 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_180) ).
thf(565,plain,
iV21029 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(124,axiom,
~ ( iV21030 @ cC176 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_194) ).
thf(724,plain,
~ ( iV21030 @ cC176 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(138,axiom,
~ ( iV21027 @ cC170 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_130) ).
thf(785,plain,
~ ( iV21027 @ cC170 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).
thf(26,axiom,
! [A: $i] :
( ( A @ cC164 )
<=> ? [B: $i] :
( ~ ( B @ cC92 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_36) ).
thf(372,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC92 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC164 ) )
& ( ( A @ cC164 )
=> ? [B: $i] :
( ~ ( B @ cC92 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(130,axiom,
! [A: $i] :
( ( A @ cC68 )
<=> ( ~ ( A @ cC18 )
& ~ ( A @ cC66 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_70) ).
thf(751,plain,
! [A: $i] :
( ( ( ~ ( A @ cC18 )
& ~ ( A @ cC66 ) )
=> ( A @ cC68 ) )
& ( ( A @ cC68 )
=> ( ~ ( A @ cC18 )
& ~ ( A @ cC66 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(23,axiom,
! [A: $i] :
( ( A @ cC128 )
<=> ? [B: $i] :
( ( B @ cC126 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
thf(357,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC126 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC128 ) )
& ( ( A @ cC128 )
=> ? [B: $i] :
( ( B @ cC126 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(228,axiom,
iV21032 @ ( iV21030 @ rR1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_209) ).
thf(1059,plain,
iV21032 @ ( iV21030 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[228]) ).
thf(150,axiom,
! [A: $i] :
( ( A @ ( iV21029 @ rR1 ) )
=> ( A @ cC6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_176) ).
thf(817,plain,
! [A: $i] :
( ( A @ ( iV21029 @ rR1 ) )
=> ( A @ cC6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[150]) ).
thf(104,axiom,
! [A: $i] :
( ( A @ cC78 )
<=> ( ~ ( A @ cC76 )
& ~ ( A @ cC70 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_75) ).
thf(638,plain,
! [A: $i] :
( ( ( ~ ( A @ cC76 )
& ~ ( A @ cC70 ) )
=> ( A @ cC78 ) )
& ( ( A @ cC78 )
=> ( ~ ( A @ cC76 )
& ~ ( A @ cC70 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(175,axiom,
! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(881,plain,
! [A: $i] :
( ( ~ ( A @ xsd_integer )
=> ( A @ xsd_string ) )
& ( ( A @ xsd_string )
=> ~ ( A @ xsd_integer ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[175]) ).
thf(37,axiom,
! [A: $i] :
( ( A @ cC160 )
<=> ? [B: $i] :
( ~ ( B @ cC6 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).
thf(421,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC6 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC160 ) )
& ( ( A @ cC160 )
=> ? [B: $i] :
( ~ ( B @ cC6 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(171,axiom,
! [A: $i] :
( ( A @ cC112 )
<=> ( ( A @ cC110 )
& ( A @ cC90 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
thf(870,plain,
! [A: $i] :
( ( ( ( A @ cC110 )
& ( A @ cC90 ) )
=> ( A @ cC112 ) )
& ( ( A @ cC112 )
=> ( ( A @ cC110 )
& ( A @ cC90 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[171]) ).
thf(199,axiom,
~ ( iV21030 @ cC46 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_188) ).
thf(969,plain,
~ ( iV21030 @ cC46 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[199]) ).
thf(94,axiom,
! [A: $i] :
( ( A @ cC180 )
<=> ( ( A @ cC174 )
& ~ ( A @ cC178 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_44) ).
thf(606,plain,
! [A: $i] :
( ( ( ( A @ cC174 )
& ~ ( A @ cC178 ) )
=> ( A @ cC180 ) )
& ( ( A @ cC180 )
=> ( ( A @ cC174 )
& ~ ( A @ cC178 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(210,axiom,
~ ( iV21030 @ cC142 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_208) ).
thf(1013,plain,
~ ( iV21030 @ cC142 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[210]) ).
thf(10,axiom,
! [A: $i] :
( ( A @ cC150 )
<=> ? [B: $i] :
( ( B @ cC148 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).
thf(284,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC148 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC150 ) )
& ( ( A @ cC150 )
=> ? [B: $i] :
( ( B @ cC148 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(189,axiom,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ~ ( A @ cC126 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_97) ).
thf(924,plain,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ~ ( A @ cC126 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[189]) ).
thf(140,axiom,
~ ( iV21027 @ cC148 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_144) ).
thf(789,plain,
~ ( iV21027 @ cC148 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).
thf(89,axiom,
~ ( iV21029 @ cC74 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_165) ).
thf(591,plain,
~ ( iV21029 @ cC74 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(41,axiom,
iV21034 @ cC6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_227) ).
thf(443,plain,
iV21034 @ cC6,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(106,axiom,
! [A: $i] :
( ( A @ cC130 )
<=> ( ~ ( A @ cC128 )
& ~ ( A @ cC122 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
thf(646,plain,
! [A: $i] :
( ( ( ~ ( A @ cC128 )
& ~ ( A @ cC122 ) )
=> ( A @ cC130 ) )
& ( ( A @ cC130 )
=> ( ~ ( A @ cC128 )
& ~ ( A @ cC122 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(62,axiom,
! [A: $i] :
( ( A @ cC62 )
<=> ( A @ cTOP ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_67) ).
thf(514,plain,
! [A: $i] :
( ( ( A @ cTOP )
=> ( A @ cC62 ) )
& ( ( A @ cC62 )
=> ( A @ cTOP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(214,axiom,
~ ( iV21030 @ cC26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_184) ).
thf(1020,plain,
~ ( iV21030 @ cC26 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[214]) ).
thf(53,axiom,
iV21034 @ cC18,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_226) ).
thf(480,plain,
iV21034 @ cC18,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(226,axiom,
~ ( iV21026 @ cC144 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_111) ).
thf(1051,plain,
~ ( iV21026 @ cC144 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[226]) ).
thf(152,axiom,
~ ( iV21030 @ cC164 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_206) ).
thf(821,plain,
~ ( iV21030 @ cC164 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[152]) ).
thf(133,axiom,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ~ ( A @ cC104 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_90) ).
thf(766,plain,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ~ ( A @ cC104 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(115,axiom,
! [A: $i] :
( ( A @ cC58 )
<=> ( ( A @ cTOP )
& ( A @ cC56 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_65) ).
thf(687,plain,
! [A: $i] :
( ( ( ( A @ cTOP )
& ( A @ cC56 ) )
=> ( A @ cC58 ) )
& ( ( A @ cC58 )
=> ( ( A @ cTOP )
& ( A @ cC56 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(172,axiom,
iV21029 @ cC100,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_170) ).
thf(877,plain,
iV21029 @ cC100,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[172]) ).
thf(38,axiom,
iV21035 @ cC18,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_233) ).
thf(428,plain,
iV21035 @ cC18,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(243,axiom,
~ ( iV21026 @ cC76 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_113) ).
thf(1104,plain,
~ ( iV21026 @ cC76 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[243]) ).
thf(233,axiom,
~ ( iV21027 @ cC126 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_140) ).
thf(1072,plain,
~ ( iV21027 @ cC126 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[233]) ).
thf(45,axiom,
iV21032 @ cC100,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_213) ).
thf(453,plain,
iV21032 @ cC100,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(234,axiom,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ~ ( A @ cC160 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_94) ).
thf(1074,plain,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ~ ( A @ cC160 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[234]) ).
thf(44,axiom,
iV21036 @ cC18,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_238) ).
thf(452,plain,
iV21036 @ cC18,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(28,axiom,
~ ( iV21034 @ cC2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_228) ).
thf(380,plain,
~ ( iV21034 @ cC2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(193,axiom,
~ ( iV21027 @ cC120 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_132) ).
thf(942,plain,
~ ( iV21027 @ cC120 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[193]) ).
thf(8,axiom,
! [A: $i] :
( ( A @ cC172 )
<=> ? [B: $i] :
( ( B @ cC170 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_40) ).
thf(270,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC170 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC172 ) )
& ( ( A @ cC172 )
=> ? [B: $i] :
( ( B @ cC170 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(71,axiom,
~ ( iV21029 @ cC104 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_158) ).
thf(546,plain,
~ ( iV21029 @ cC104 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(146,axiom,
~ ( iV21027 @ cC26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_126) ).
thf(810,plain,
~ ( iV21027 @ cC26 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[146]) ).
thf(121,axiom,
iV21030 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_207) ).
thf(714,plain,
iV21030 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(224,axiom,
~ ( iV21026 @ cC34 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_95) ).
thf(1047,plain,
~ ( iV21026 @ cC34 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[224]) ).
thf(154,axiom,
~ ( iV21030 @ cC74 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_192) ).
thf(825,plain,
~ ( iV21030 @ cC74 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[154]) ).
thf(39,axiom,
! [A: $i] :
( ( A @ cC146 )
<=> ? [B: $i] :
( ~ ( B @ cC100 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).
thf(429,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC100 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC146 ) )
& ( ( A @ cC146 )
=> ? [B: $i] :
( ~ ( B @ cC100 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(149,axiom,
~ ( iV21030 @ cC126 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_185) ).
thf(815,plain,
~ ( iV21030 @ cC126 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[149]) ).
thf(5,axiom,
~ ( iV21032 @ cC2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_214) ).
thf(260,plain,
~ ( iV21032 @ cC2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(21,axiom,
! [A: $i] :
( ( A @ cC178 )
<=> ? [B: $i] :
( ( B @ cC176 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_43) ).
thf(349,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC176 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC178 ) )
& ( ( A @ cC178 )
=> ? [B: $i] :
( ( B @ cC176 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(187,axiom,
! [A: $i] :
( ( A @ cC22 )
<=> ( ( A @ cC20 )
& ( A @ cC16 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_46) ).
thf(916,plain,
! [A: $i] :
( ( ( ( A @ cC20 )
& ( A @ cC16 ) )
=> ( A @ cC22 ) )
& ( ( A @ cC22 )
=> ( ( A @ cC20 )
& ( A @ cC16 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[187]) ).
thf(81,axiom,
iV21034 @ ( iV21029 @ rR1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_181) ).
thf(566,plain,
iV21034 @ ( iV21029 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(174,axiom,
~ ( iV21029 @ cC126 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_175) ).
thf(879,plain,
~ ( iV21029 @ cC126 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[174]) ).
thf(166,axiom,
! [A: $i] :
( ( A @ cC138 )
<=> ( ( A @ cC134 )
& ( A @ cC136 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
thf(852,plain,
! [A: $i] :
( ( ( ( A @ cC134 )
& ( A @ cC136 ) )
=> ( A @ cC138 ) )
& ( ( A @ cC138 )
=> ( ( A @ cC134 )
& ( A @ cC136 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[166]) ).
thf(64,axiom,
~ ( iV21029 @ cC170 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_172) ).
thf(522,plain,
~ ( iV21029 @ cC170 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(177,axiom,
iV21029 @ cC92,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_167) ).
thf(889,plain,
iV21029 @ cC92,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[177]) ).
thf(74,axiom,
~ ( iV21027 @ cC104 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_143) ).
thf(551,plain,
~ ( iV21027 @ cC104 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(47,axiom,
! [A: $i] :
( ( A @ cC70 )
<=> ? [B: $i] :
( ( B @ cC68 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_71) ).
thf(456,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC68 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC70 ) )
& ( ( A @ cC70 )
=> ? [B: $i] :
( ( B @ cC68 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(244,axiom,
~ ( iV21029 @ cC26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_173) ).
thf(1106,plain,
~ ( iV21029 @ cC26 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[244]) ).
thf(218,axiom,
! [A: $i] :
( ( A @ ( iV21030 @ rR1 ) )
=> ( A @ cC18 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_186) ).
thf(1032,plain,
! [A: $i] :
( ( A @ ( iV21030 @ rR1 ) )
=> ( A @ cC18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[218]) ).
thf(3,axiom,
! [A: $i] :
( ( A @ cC144 )
<=> ? [B: $i] :
( ( B @ cC142 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_25) ).
thf(252,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC142 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC144 ) )
& ( ( A @ cC144 )
=> ? [B: $i] :
( ( B @ cC142 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(128,axiom,
! [A: $i] :
( ( A @ cC20 )
<=> ? [B: $i] :
( ~ ( B @ cC18 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_45) ).
thf(742,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC18 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC20 ) )
& ( ( A @ cC20 )
=> ? [B: $i] :
( ~ ( B @ cC18 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(212,axiom,
iV21029 @ ( iV21026 @ rR1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_125) ).
thf(1017,plain,
iV21029 @ ( iV21026 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[212]) ).
thf(96,axiom,
iV21031 @ ( iV21030 @ rR1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_210) ).
thf(615,plain,
iV21031 @ ( iV21030 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(241,axiom,
iV21030 @ cC92,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_197) ).
thf(1096,plain,
iV21030 @ cC92,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[241]) ).
thf(22,axiom,
iV21034 @ cC92,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_224) ).
thf(356,plain,
iV21034 @ cC92,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(90,axiom,
~ ( iV21026 @ cC98 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_91) ).
thf(593,plain,
~ ( iV21026 @ cC98 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(137,axiom,
~ ( iV21026 @ cC122 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_92) ).
thf(783,plain,
~ ( iV21026 @ cC122 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(18,axiom,
! [A: $i] :
( ( A @ cC126 )
<=> ( ~ ( A @ cC100 )
& ~ ( A @ cC124 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
thf(328,plain,
! [A: $i] :
( ( ( ~ ( A @ cC100 )
& ~ ( A @ cC124 ) )
=> ( A @ cC126 ) )
& ( ( A @ cC126 )
=> ( ~ ( A @ cC100 )
& ~ ( A @ cC124 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(236,axiom,
~ ( iV21026 @ cC54 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_109) ).
thf(1082,plain,
~ ( iV21026 @ cC54 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[236]) ).
thf(55,axiom,
! [A: $i] :
( ( A @ cC104 )
<=> ( ~ ( A @ cC102 )
& ~ ( A @ cC100 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
thf(488,plain,
! [A: $i] :
( ( ( ~ ( A @ cC102 )
& ~ ( A @ cC100 ) )
=> ( A @ cC104 ) )
& ( ( A @ cC104 )
=> ( ~ ( A @ cC102 )
& ~ ( A @ cC100 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(191,axiom,
~ ( iV21030 @ cC32 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_183) ).
thf(933,plain,
~ ( iV21030 @ cC32 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[191]) ).
thf(76,axiom,
~ ( iV21029 @ cC148 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_155) ).
thf(554,plain,
~ ( iV21029 @ cC148 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(69,axiom,
! [A: $i] :
( ( A @ cC24 )
<=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_47) ).
thf(537,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC24 ) )
& ( ( A @ cC24 )
=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(66,axiom,
! [A: $i] :
( ( A @ cC42 )
<=> ( ( A @ cC38 )
& ( A @ cC40 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_57) ).
thf(526,plain,
! [A: $i] :
( ( ( ( A @ cC38 )
& ( A @ cC40 ) )
=> ( A @ cC42 ) )
& ( ( A @ cC42 )
=> ( ( A @ cC38 )
& ( A @ cC40 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(113,axiom,
iV21027 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_151) ).
thf(679,plain,
iV21027 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(158,axiom,
~ ( iV21026 @ cC162 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_100) ).
thf(837,plain,
~ ( iV21026 @ cC162 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[158]) ).
thf(207,axiom,
! [A: $i] :
( ( A @ cC80 )
<=> ( ( A @ cC78 )
& ( A @ cTOP ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_77) ).
thf(997,plain,
! [A: $i] :
( ( ( ( A @ cC78 )
& ( A @ cTOP ) )
=> ( A @ cC80 ) )
& ( ( A @ cC80 )
=> ( ( A @ cC78 )
& ( A @ cTOP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[207]) ).
thf(117,axiom,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ~ ( A @ cC164 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_103) ).
thf(701,plain,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ~ ( A @ cC164 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(229,axiom,
! [A: $i] :
( ( A @ ( iV21027 @ rR1 ) )
=> ( A @ cC100 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_148) ).
thf(1060,plain,
! [A: $i] :
( ( A @ ( iV21027 @ rR1 ) )
=> ( A @ cC100 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[229]) ).
thf(83,axiom,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ~ ( A @ cC26 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_87) ).
thf(569,plain,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ~ ( A @ cC26 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(202,axiom,
! [A: $i] :
( ( A @ cC84 )
<=> ( A @ cTOP ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_79) ).
thf(984,plain,
! [A: $i] :
( ( ( A @ cTOP )
=> ( A @ cC84 ) )
& ( ( A @ cC84 )
=> ( A @ cTOP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[202]) ).
thf(184,axiom,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ~ ( A @ cC74 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_121) ).
thf(911,plain,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ~ ( A @ cC74 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[184]) ).
thf(142,axiom,
~ ( iV21027 @ cC68 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_138) ).
thf(792,plain,
~ ( iV21027 @ cC68 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[142]) ).
thf(238,axiom,
! [A: $i] :
( ( A @ cC26 )
<=> ( ~ ( A @ cC2 )
& ~ ( A @ cC24 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_48) ).
thf(1086,plain,
! [A: $i] :
( ( ( ~ ( A @ cC2 )
& ~ ( A @ cC24 ) )
=> ( A @ cC26 ) )
& ( ( A @ cC26 )
=> ( ~ ( A @ cC2 )
& ~ ( A @ cC24 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[238]) ).
thf(132,axiom,
iV21035 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_235) ).
thf(765,plain,
iV21035 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(32,axiom,
iV21032 @ cC6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_216) ).
thf(398,plain,
iV21032 @ cC6,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(143,axiom,
! [A: $i] :
( ( A @ cC82 )
<=> ( ( A @ cC64 )
& ( A @ cC80 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_78) ).
thf(794,plain,
! [A: $i] :
( ( ( ( A @ cC64 )
& ( A @ cC80 ) )
=> ( A @ cC82 ) )
& ( ( A @ cC82 )
=> ( ( A @ cC64 )
& ( A @ cC80 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).
thf(109,axiom,
~ ( iV21026 @ cC150 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_108) ).
thf(662,plain,
~ ( iV21026 @ cC150 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(190,axiom,
! [A: $i] :
( ( A @ cC30 )
<=> ? [B: $i] :
( ~ ( B @ cC12 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_50) ).
thf(926,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC12 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC30 ) )
& ( ( A @ cC30 )
=> ? [B: $i] :
( ~ ( B @ cC12 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[190]) ).
thf(12,axiom,
! [A: $i] :
( ( A @ cC94 )
<=> ? [B: $i] :
( ~ ( B @ cC6 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_83) ).
thf(298,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC6 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC94 ) )
& ( ( A @ cC94 )
=> ? [B: $i] :
( ~ ( B @ cC6 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(61,axiom,
iV21033 @ ( iV21029 @ rR1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_182) ).
thf(513,plain,
iV21033 @ ( iV21029 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(85,axiom,
! [A: $i] :
( ( A @ cC72 )
<=> ? [B: $i] :
( ~ ( B @ cC12 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_72) ).
thf(573,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC12 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC72 ) )
& ( ( A @ cC72 )
=> ? [B: $i] :
( ~ ( B @ cC12 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(42,axiom,
iV21034 @ cC100,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_225) ).
thf(444,plain,
iV21034 @ cC100,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(126,axiom,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ~ ( A @ cC120 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_117) ).
thf(733,plain,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ~ ( A @ cC120 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(151,axiom,
~ ( iV21029 @ cC32 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_169) ).
thf(819,plain,
~ ( iV21029 @ cC32 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[151]) ).
thf(116,axiom,
! [A: $i] :
( ( A @ cC10 )
<=> ( ( A @ cC4 )
& ( A @ cC8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(694,plain,
! [A: $i] :
( ( ( ( A @ cC4 )
& ( A @ cC8 ) )
=> ( A @ cC10 ) )
& ( ( A @ cC10 )
=> ( ( A @ cC4 )
& ( A @ cC8 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(161,axiom,
~ ( iV21027 @ cC142 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_145) ).
thf(843,plain,
~ ( iV21027 @ cC142 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[161]) ).
thf(11,axiom,
! [A: $i] :
( ( A @ cC28 )
<=> ? [B: $i] :
( ( B @ cC26 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_49) ).
thf(291,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC26 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC28 ) )
& ( ( A @ cC28 )
=> ? [B: $i] :
( ( B @ cC26 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(196,axiom,
~ ( iV21027 @ cC46 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_129) ).
thf(958,plain,
~ ( iV21027 @ cC46 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[196]) ).
thf(4,axiom,
iV21035 @ cC100,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_231) ).
thf(259,plain,
iV21035 @ cC100,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(35,axiom,
iV21032 @ cC18,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_215) ).
thf(413,plain,
iV21032 @ cC18,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(31,axiom,
! [A: $i] :
( ( A @ cC176 )
<=> ? [B: $i] :
( ~ ( B @ cC100 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_42) ).
thf(391,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC100 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC176 ) )
& ( ( A @ cC176 )
=> ? [B: $i] :
( ~ ( B @ cC100 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(43,axiom,
! [A: $i] :
( ( A @ cC54 )
<=> ? [B: $i] :
( ( B @ cC52 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_63) ).
thf(445,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC52 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC54 ) )
& ( ( A @ cC54 )
=> ? [B: $i] :
( ( B @ cC52 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(29,axiom,
~ ( iV21036 @ cC2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_240) ).
thf(382,plain,
~ ( iV21036 @ cC2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(15,axiom,
! [A: $i] :
( ( A @ cC106 )
<=> ? [B: $i] :
( ( B @ cC104 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
thf(313,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC104 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC106 ) )
& ( ( A @ cC106 )
=> ? [B: $i] :
( ( B @ cC104 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(139,axiom,
~ ( iV21026 @ cC70 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_98) ).
thf(787,plain,
~ ( iV21026 @ cC70 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).
thf(58,axiom,
! [A: $i] :
( ( A @ cC34 )
<=> ? [B: $i] :
( ( B @ cC32 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_52) ).
thf(498,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC32 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC34 ) )
& ( ( A @ cC34 )
=> ? [B: $i] :
( ( B @ cC32 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(19,axiom,
! [A: $i] :
( ( A @ cC96 )
<=> ( ~ ( A @ cC94 )
& ~ ( A @ cC92 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_84) ).
thf(335,plain,
! [A: $i] :
( ( ( ~ ( A @ cC94 )
& ~ ( A @ cC92 ) )
=> ( A @ cC96 ) )
& ( ( A @ cC96 )
=> ( ~ ( A @ cC94 )
& ~ ( A @ cC92 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(112,axiom,
! [A: $i] :
( ( A @ cC4 )
<=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_55) ).
thf(672,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC4 ) )
& ( ( A @ cC4 )
=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(93,axiom,
~ ( iV21030 @ cC104 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_196) ).
thf(604,plain,
~ ( iV21030 @ cC104 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(209,axiom,
~ ( iV21026 @ cC178 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_99) ).
thf(1011,plain,
~ ( iV21026 @ cC178 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[209]) ).
thf(203,axiom,
! [A: $i] :
( ( A @ ( iV21027 @ rR1 ) )
=> ( A @ cC92 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_147) ).
thf(990,plain,
! [A: $i] :
( ( A @ ( iV21027 @ rR1 ) )
=> ( A @ cC92 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[203]) ).
thf(82,axiom,
~ ( iV21029 @ cC52 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_168) ).
thf(567,plain,
~ ( iV21029 @ cC52 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(1,conjecture,
( ( iV21030 @ cC72 )
& ( iV21030 @ cC66 )
& ( iV21030 @ cowlThing )
& ( iV21029 @ cC44 )
& ( iV21029 @ cC50 )
& ( iV21029 @ cowlThing )
& ( iV21027 @ cC24 )
& ( iV21027 @ cC30 )
& ( iV21027 @ cowlThing )
& ( iV21026 @ cC90 )
& ( iV21026 @ cC14 )
& ( iV21026 @ cC108 )
& ( iV21026 @ cC4 )
& ( iV21026 @ cC138 )
& ( iV21026 @ cC82 )
& ( iV21026 @ cC116 )
& ( iV21026 @ cC110 )
& ( iV21026 @ cC64 )
& ( iV21026 @ cC114 )
& ( iV21026 @ cC180 )
& ( iV21026 @ cC112 )
& ( iV21026 @ cC136 )
& ( iV21026 @ cC8 )
& ( iV21026 @ cC80 )
& ( iV21026 @ cC154 )
& ( iV21026 @ cC62 )
& ( iV21026 @ cC130 )
& ( iV21026 @ cC132 )
& ( iV21026 @ cC40 )
& ( iV21026 @ cC152 )
& ( iV21026 @ cC58 )
& ( iV21026 @ cC78 )
& ( iV21026 @ cC56 )
& ( iV21026 @ cC168 )
& ( iV21026 @ cC22 )
& ( iV21026 @ cC134 )
& ( iV21026 @ cC10 )
& ( iV21026 @ cC158 )
& ( iV21026 @ cC38 )
& ( iV21026 @ cC60 )
& ( iV21026 @ cC156 )
& ( iV21026 @ cC20 )
& ( iV21026 @ cC174 )
& ( iV21026 @ cC86 )
& ( iV21026 @ cC88 )
& ( iV21026 @ cC42 )
& ( iV21026 @ cC36 )
& ( iV21026 @ cC16 )
& ( iV21026 @ cC84 )
& ( iV21026 @ cowlThing )
& ! [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 @ cC72 )
& ( iV21030 @ cC66 )
& ( iV21030 @ cowlThing )
& ( iV21029 @ cC44 )
& ( iV21029 @ cC50 )
& ( iV21029 @ cowlThing )
& ( iV21027 @ cC24 )
& ( iV21027 @ cC30 )
& ( iV21027 @ cowlThing )
& ( iV21026 @ cC90 )
& ( iV21026 @ cC14 )
& ( iV21026 @ cC108 )
& ( iV21026 @ cC4 )
& ( iV21026 @ cC138 )
& ( iV21026 @ cC82 )
& ( iV21026 @ cC116 )
& ( iV21026 @ cC110 )
& ( iV21026 @ cC64 )
& ( iV21026 @ cC114 )
& ( iV21026 @ cC180 )
& ( iV21026 @ cC112 )
& ( iV21026 @ cC136 )
& ( iV21026 @ cC8 )
& ( iV21026 @ cC80 )
& ( iV21026 @ cC154 )
& ( iV21026 @ cC62 )
& ( iV21026 @ cC130 )
& ( iV21026 @ cC132 )
& ( iV21026 @ cC40 )
& ( iV21026 @ cC152 )
& ( iV21026 @ cC58 )
& ( iV21026 @ cC78 )
& ( iV21026 @ cC56 )
& ( iV21026 @ cC168 )
& ( iV21026 @ cC22 )
& ( iV21026 @ cC134 )
& ( iV21026 @ cC10 )
& ( iV21026 @ cC158 )
& ( iV21026 @ cC38 )
& ( iV21026 @ cC60 )
& ( iV21026 @ cC156 )
& ( iV21026 @ cC20 )
& ( iV21026 @ cC174 )
& ( iV21026 @ cC86 )
& ( iV21026 @ cC88 )
& ( iV21026 @ cC42 )
& ( iV21026 @ cC36 )
& ( iV21026 @ cC16 )
& ( iV21026 @ cC84 )
& ( iV21026 @ cowlThing )
& ! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) )
& ! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(245,plain,
~ ( ( iV21030 @ cC72 )
& ( iV21030 @ cC66 )
& ( iV21030 @ cowlThing )
& ( iV21029 @ cC44 )
& ( iV21029 @ cC50 )
& ( iV21029 @ cowlThing )
& ( iV21027 @ cC24 )
& ( iV21027 @ cC30 )
& ( iV21027 @ cowlThing )
& ( iV21026 @ cC90 )
& ( iV21026 @ cC14 )
& ( iV21026 @ cC108 )
& ( iV21026 @ cC4 )
& ( iV21026 @ cC138 )
& ( iV21026 @ cC82 )
& ( iV21026 @ cC116 )
& ( iV21026 @ cC110 )
& ( iV21026 @ cC64 )
& ( iV21026 @ cC114 )
& ( iV21026 @ cC180 )
& ( iV21026 @ cC112 )
& ( iV21026 @ cC136 )
& ( iV21026 @ cC8 )
& ( iV21026 @ cC80 )
& ( iV21026 @ cC154 )
& ( iV21026 @ cC62 )
& ( iV21026 @ cC130 )
& ( iV21026 @ cC132 )
& ( iV21026 @ cC40 )
& ( iV21026 @ cC152 )
& ( iV21026 @ cC58 )
& ( iV21026 @ cC78 )
& ( iV21026 @ cC56 )
& ( iV21026 @ cC168 )
& ( iV21026 @ cC22 )
& ( iV21026 @ cC134 )
& ( iV21026 @ cC10 )
& ( iV21026 @ cC158 )
& ( iV21026 @ cC38 )
& ( iV21026 @ cC60 )
& ( iV21026 @ cC156 )
& ( iV21026 @ cC20 )
& ( iV21026 @ cC174 )
& ( iV21026 @ cC86 )
& ( iV21026 @ cC88 )
& ( iV21026 @ cC42 )
& ( iV21026 @ cC36 )
& ( iV21026 @ cC16 )
& ( iV21026 @ cC84 )
& ( iV21026 @ cowlThing )
& ! [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(221,axiom,
iV21026 @ cTEST,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_89) ).
thf(1043,plain,
iV21026 @ cTEST,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[221]) ).
thf(97,axiom,
iV21027 @ cC100,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_141) ).
thf(616,plain,
iV21027 @ cC100,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(181,axiom,
! [A: $i] :
( ( A @ cC14 )
<=> ? [B: $i] :
( ~ ( B @ cC12 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
thf(900,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC12 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC14 ) )
& ( ( A @ cC14 )
=> ? [B: $i] :
( ~ ( B @ cC12 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[181]) ).
thf(34,axiom,
! [A: $i] :
( ( A @ cC124 )
<=> ? [B: $i] :
( ~ ( B @ cC92 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
thf(406,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC92 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC124 ) )
& ( ( A @ cC124 )
=> ? [B: $i] :
( ~ ( B @ cC92 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(178,axiom,
! [A: $i] :
( ( A @ cC90 )
<=> ( ( A @ cC86 )
& ( A @ cC88 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_82) ).
thf(890,plain,
! [A: $i] :
( ( ( ( A @ cC86 )
& ( A @ cC88 ) )
=> ( A @ cC90 ) )
& ( ( A @ cC90 )
=> ( ( A @ cC86 )
& ( A @ cC88 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[178]) ).
thf(50,axiom,
iV21035 @ cC92,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_230) ).
thf(477,plain,
iV21035 @ cC92,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(103,axiom,
! [A: $i] :
( ( A @ cC156 )
<=> ( ( A @ cC138 )
& ( A @ cC154 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).
thf(631,plain,
! [A: $i] :
( ( ( ( A @ cC138 )
& ( A @ cC154 ) )
=> ( A @ cC156 ) )
& ( ( A @ cC156 )
=> ( ( A @ cC138 )
& ( A @ cC154 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(131,axiom,
! [A: $i] :
( ( A @ cTEST )
<=> ( ( A @ cC180 )
& ( A @ cC158 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_86) ).
thf(758,plain,
! [A: $i] :
( ( ( ( A @ cC180 )
& ( A @ cC158 ) )
=> ( A @ cTEST ) )
& ( ( A @ cTEST )
=> ( ( A @ cC180 )
& ( A @ cC158 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(68,axiom,
~ ( iV21029 @ cC68 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_156) ).
thf(535,plain,
~ ( iV21029 @ cC68 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(125,axiom,
! [A: $i] :
( ( A @ cC56 )
<=> ( ~ ( A @ cC54 )
& ~ ( A @ cC48 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_64) ).
thf(726,plain,
! [A: $i] :
( ( ( ~ ( A @ cC54 )
& ~ ( A @ cC48 ) )
=> ( A @ cC56 ) )
& ( ( A @ cC56 )
=> ( ~ ( A @ cC54 )
& ~ ( A @ cC48 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(135,axiom,
! [A: $i] :
( ( A @ cC158 )
<=> ( ( A @ cC156 )
& ( A @ cC22 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_32) ).
thf(769,plain,
! [A: $i] :
( ( ( ( A @ cC156 )
& ( A @ cC22 ) )
=> ( A @ cC158 ) )
& ( ( A @ cC158 )
=> ( ( A @ cC156 )
& ( A @ cC22 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).
thf(215,axiom,
~ ( iV21029 @ cC176 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_160) ).
thf(1022,plain,
~ ( iV21029 @ cC176 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[215]) ).
thf(164,axiom,
~ ( iV21030 @ cC96 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_193) ).
thf(848,plain,
~ ( iV21030 @ cC96 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[164]) ).
thf(63,axiom,
! [A: $i] :
( ( A @ ( iV21029 @ rR1 ) )
=> ( A @ cC92 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_162) ).
thf(520,plain,
! [A: $i] :
( ( A @ ( iV21029 @ rR1 ) )
=> ( A @ cC92 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(100,axiom,
iV21028 @ ( iV21026 @ rR1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_124) ).
thf(626,plain,
iV21028 @ ( iV21026 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(186,axiom,
iV21034 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_229) ).
thf(915,plain,
iV21034 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[186]) ).
thf(33,axiom,
! [A: $i] :
( ( A @ cC76 )
<=> ? [B: $i] :
( ( B @ cC74 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_74) ).
thf(399,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC74 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC76 ) )
& ( ( A @ cC76 )
=> ? [B: $i] :
( ( B @ cC74 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(222,axiom,
iV21035 @ ( iV21027 @ rR1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_153) ).
thf(1044,plain,
iV21035 @ ( iV21027 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[222]) ).
thf(170,axiom,
! [A: $i] :
( ( A @ ( iV21027 @ rR1 ) )
=> ( A @ cC6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_134) ).
thf(868,plain,
! [A: $i] :
( ( A @ ( iV21027 @ rR1 ) )
=> ( A @ cC6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[170]) ).
thf(211,axiom,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ~ ( A @ cC32 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_114) ).
thf(1015,plain,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ~ ( A @ cC32 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[211]) ).
thf(14,axiom,
! [A: $i] :
( ( A @ cC98 )
<=> ? [B: $i] :
( ( B @ cC96 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_85) ).
thf(306,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC96 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC98 ) )
& ( ( A @ cC98 )
=> ? [B: $i] :
( ( B @ cC96 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(79,axiom,
~ ( iV21030 @ cC18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_202) ).
thf(563,plain,
~ ( iV21030 @ cC18 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(59,axiom,
iV21035 @ cC6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_234) ).
thf(505,plain,
iV21035 @ cC6,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(107,axiom,
~ ( iV21029 @ cC96 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_174) ).
thf(653,plain,
~ ( iV21029 @ cC96 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(134,axiom,
iV21030 @ cC2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_195) ).
thf(768,plain,
iV21030 @ cC2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).
thf(155,axiom,
~ ( iV21026 @ cC106 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_110) ).
thf(827,plain,
~ ( iV21026 @ cC106 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[155]) ).
thf(235,axiom,
! [A: $i] :
( ( A @ cC114 )
<=> ( A @ cTOP ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
thf(1076,plain,
! [A: $i] :
( ( ( A @ cTOP )
=> ( A @ cC114 ) )
& ( ( A @ cC114 )
=> ( A @ cTOP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[235]) ).
thf(123,axiom,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ~ ( A @ cC46 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_104) ).
thf(722,plain,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ~ ( A @ cC46 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(219,axiom,
~ ( iV21027 @ cC52 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_135) ).
thf(1034,plain,
~ ( iV21027 @ cC52 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[219]) ).
thf(88,axiom,
~ ( iV21027 @ cC176 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_127) ).
thf(589,plain,
~ ( iV21027 @ cC176 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(194,axiom,
! [A: $i] :
( ( A @ cC66 )
<=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_69) ).
thf(944,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC66 ) )
& ( ( A @ cC66 )
=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[194]) ).
thf(114,axiom,
! [A: $i] :
( ( A @ cC32 )
<=> ( ~ ( A @ cC30 )
& ~ ( A @ cC2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_51) ).
thf(680,plain,
! [A: $i] :
( ( ( ~ ( A @ cC30 )
& ~ ( A @ cC2 ) )
=> ( A @ cC32 ) )
& ( ( A @ cC32 )
=> ( ~ ( A @ cC30 )
& ~ ( A @ cC2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(72,axiom,
! [A: $i] :
( ( A @ ( iV21029 @ rR1 ) )
=> ( A @ cC18 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_179) ).
thf(548,plain,
! [A: $i] :
( ( A @ ( iV21029 @ rR1 ) )
=> ( A @ cC18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(147,axiom,
iV21029 @ cC18,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_171) ).
thf(812,plain,
iV21029 @ cC18,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[147]) ).
thf(129,axiom,
~ ( iV21026 @ cC172 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_116) ).
thf(749,plain,
~ ( iV21026 @ cC172 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(98,axiom,
! [A: $i] :
( ( A @ cC36 )
<=> ( ~ ( A @ cC34 )
& ~ ( A @ cC28 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_53) ).
thf(617,plain,
! [A: $i] :
( ( ( ~ ( A @ cC34 )
& ~ ( A @ cC28 ) )
=> ( A @ cC36 ) )
& ( ( A @ cC36 )
=> ( ~ ( A @ cC34 )
& ~ ( A @ cC28 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(20,axiom,
! [A: $i] :
( ( A @ cC48 )
<=> ? [B: $i] :
( ( B @ cC46 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_60) ).
thf(342,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC46 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC48 ) )
& ( ( A @ cC48 )
=> ? [B: $i] :
( ( B @ cC46 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(213,axiom,
~ ( iV21027 @ cC160 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_142) ).
thf(1018,plain,
~ ( iV21027 @ cC160 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[213]) ).
thf(75,axiom,
iV21026 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_120) ).
thf(553,plain,
iV21026 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(153,axiom,
! [A: $i] :
( ( A @ ( iV21027 @ rR1 ) )
=> ( A @ cC18 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_128) ).
thf(823,plain,
! [A: $i] :
( ( A @ ( iV21027 @ rR1 ) )
=> ( A @ cC18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[153]) ).
thf(157,axiom,
iV21027 @ cC18,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_146) ).
thf(836,plain,
iV21027 @ cC18,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[157]) ).
thf(225,axiom,
! [A: $i] :
( ( A @ ( iV21030 @ rR1 ) )
=> ( A @ cC100 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_200) ).
thf(1049,plain,
! [A: $i] :
( ( A @ ( iV21030 @ rR1 ) )
=> ( A @ cC100 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[225]) ).
thf(136,axiom,
! [A: $i] :
( ( A @ cC46 )
<=> ( ~ ( A @ cC44 )
& ~ ( A @ cC12 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_59) ).
thf(776,plain,
! [A: $i] :
( ( ( ~ ( A @ cC44 )
& ~ ( A @ cC12 ) )
=> ( A @ cC46 ) )
& ( ( A @ cC46 )
=> ( ~ ( A @ cC44 )
& ~ ( A @ cC12 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(78,axiom,
! [A: $i] :
( ( A @ cC136 )
<=> ( A @ cTOP ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
thf(557,plain,
! [A: $i] :
( ( ( A @ cTOP )
=> ( A @ cC136 ) )
& ( ( A @ cC136 )
=> ( A @ cTOP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(86,axiom,
~ ( iV21030 @ cC120 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_199) ).
thf(580,plain,
~ ( iV21030 @ cC120 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(217,axiom,
! [A: $i] :
( ( A @ cC174 )
<=> ( ~ ( A @ cC172 )
& ( A @ cC168 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_41) ).
thf(1025,plain,
! [A: $i] :
( ( ( ~ ( A @ cC172 )
& ( A @ cC168 ) )
=> ( A @ cC174 ) )
& ( ( A @ cC174 )
=> ( ~ ( A @ cC172 )
& ( A @ cC168 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[217]) ).
thf(232,axiom,
~ ( iV21027 @ cC2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_150) ).
thf(1070,plain,
~ ( iV21027 @ cC2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[232]) ).
thf(119,axiom,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ~ ( A @ cC170 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_119) ).
thf(705,plain,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ~ ( A @ cC170 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(120,axiom,
! [A: $i] :
( ( A @ cC38 )
<=> ( ( A @ cTOP )
& ( A @ cC36 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_54) ).
thf(707,plain,
! [A: $i] :
( ( ( ( A @ cTOP )
& ( A @ cC36 ) )
=> ( A @ cC38 ) )
& ( ( A @ cC38 )
=> ( ( A @ cTOP )
& ( A @ cC36 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(176,axiom,
~ ( iV21030 @ cC170 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_201) ).
thf(887,plain,
~ ( iV21030 @ cC170 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[176]) ).
thf(17,axiom,
iV21036 @ cC92,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_236) ).
thf(327,plain,
iV21036 @ cC92,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(36,axiom,
! [A: $i] :
( ( A @ cC118 )
<=> ? [B: $i] :
( ~ ( B @ cC92 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
thf(414,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC92 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC118 ) )
& ( ( A @ cC118 )
=> ? [B: $i] :
( ~ ( B @ cC92 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(200,axiom,
! [A: $i] :
( ( A @ cC8 )
<=> ? [B: $i] :
( ~ ( B @ cC6 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_76) ).
thf(971,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC6 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC8 ) )
& ( ( A @ cC8 )
=> ? [B: $i] :
( ~ ( B @ cC6 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[200]) ).
thf(227,axiom,
! [A: $i] :
( ( A @ cC40 )
<=> ( A @ cTOP ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_56) ).
thf(1053,plain,
! [A: $i] :
( ( ( A @ cTOP )
=> ( A @ cC40 ) )
& ( ( A @ cC40 )
=> ( A @ cTOP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[227]) ).
thf(141,axiom,
iV21027 @ cC92,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_139) ).
thf(791,plain,
iV21027 @ cC92,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).
thf(48,axiom,
! [A: $i] :
( ( A @ cC142 )
<=> ( ~ ( A @ cC92 )
& ~ ( A @ cC140 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).
thf(463,plain,
! [A: $i] :
( ( ( ~ ( A @ cC92 )
& ~ ( A @ cC140 ) )
=> ( A @ cC142 ) )
& ( ( A @ cC142 )
=> ( ~ ( A @ cC92 )
& ~ ( A @ cC140 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(49,axiom,
! [A: $i] :
( ( A @ cC170 )
<=> ? [B: $i] :
( ~ ( B @ cC18 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_39) ).
thf(470,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC18 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC170 ) )
& ( ( A @ cC170 )
=> ? [B: $i] :
( ~ ( B @ cC18 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(195,axiom,
! [A: $i] :
( ( A @ cC152 )
<=> ( ~ ( A @ cC144 )
& ~ ( A @ cC150 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).
thf(951,plain,
! [A: $i] :
( ( ( ~ ( A @ cC144 )
& ~ ( A @ cC150 ) )
=> ( A @ cC152 ) )
& ( ( A @ cC152 )
=> ( ~ ( A @ cC144 )
& ~ ( A @ cC150 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[195]) ).
thf(145,axiom,
! [A: $i] :
( ( A @ ( iV21030 @ rR1 ) )
=> ( A @ cC92 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_203) ).
thf(808,plain,
! [A: $i] :
( ( A @ ( iV21030 @ rR1 ) )
=> ( A @ cC92 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[145]) ).
thf(70,axiom,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ~ ( A @ cC52 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_105) ).
thf(544,plain,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ~ ( A @ cC52 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(182,axiom,
~ ( iV21026 @ cC48 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_112) ).
thf(907,plain,
~ ( iV21026 @ cC48 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[182]) ).
thf(118,axiom,
~ ( iV21030 @ cC68 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_191) ).
thf(703,plain,
~ ( iV21030 @ cC68 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(95,axiom,
~ ( iV21029 @ cC12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_163) ).
thf(613,plain,
~ ( iV21029 @ cC12 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(201,axiom,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
thf(978,plain,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[201]) ).
thf(84,axiom,
~ ( iV21027 @ cC74 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_133) ).
thf(571,plain,
~ ( iV21027 @ cC74 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(91,axiom,
~ ( iV21027 @ cC32 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_136) ).
thf(595,plain,
~ ( iV21027 @ cC32 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(167,axiom,
iV21026 @ cTOP,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_88) ).
thf(859,plain,
iV21026 @ cTOP,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[167]) ).
thf(162,axiom,
iV21030 @ cC12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_190) ).
thf(845,plain,
iV21030 @ cC12,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[162]) ).
thf(101,axiom,
~ ( iV21029 @ cC46 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_157) ).
thf(627,plain,
~ ( iV21029 @ cC46 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(237,axiom,
~ ( iV21027 @ cC96 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_137) ).
thf(1084,plain,
~ ( iV21027 @ cC96 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[237]) ).
thf(77,axiom,
iV21032 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_217) ).
thf(556,plain,
iV21032 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(65,axiom,
! [A: $i] :
( ( A @ ( iV21030 @ rR1 ) )
=> ( A @ cC6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_189) ).
thf(524,plain,
! [A: $i] :
( ( A @ ( iV21030 @ rR1 ) )
=> ( A @ cC6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(56,axiom,
iV21033 @ cC18,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_220) ).
thf(495,plain,
iV21033 @ cC18,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(148,axiom,
~ ( iV21029 @ cC142 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_161) ).
thf(813,plain,
~ ( iV21029 @ cC142 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[148]) ).
thf(230,axiom,
iV21027 @ ( iV21026 @ rR1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_123) ).
thf(1062,plain,
iV21027 @ ( iV21026 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[230]) ).
thf(206,axiom,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ~ ( A @ cC96 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_118) ).
thf(995,plain,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ~ ( A @ cC96 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[206]) ).
thf(51,axiom,
iV21032 @ cC92,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_212) ).
thf(478,plain,
iV21032 @ cC92,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(223,axiom,
~ ( iV21027 @ cC164 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_149) ).
thf(1045,plain,
~ ( iV21027 @ cC164 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[223]) ).
thf(198,axiom,
~ ( iV21030 @ cC160 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_205) ).
thf(967,plain,
~ ( iV21030 @ cC160 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[198]) ).
thf(169,axiom,
iV21036 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_241) ).
thf(867,plain,
iV21036 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[169]) ).
thf(127,axiom,
! [A: $i] :
( ( A @ cC134 )
<=> ( ( A @ cC116 )
& ( A @ cC132 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
thf(735,plain,
! [A: $i] :
( ( ( ( A @ cC116 )
& ( A @ cC132 ) )
=> ( A @ cC134 ) )
& ( ( A @ cC134 )
=> ( ( A @ cC116 )
& ( A @ cC132 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(242,axiom,
! [A: $i] :
( ( A @ cC86 )
<=> ( ( A @ cC84 )
& ( A @ cC82 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_80) ).
thf(1097,plain,
! [A: $i] :
( ( ( ( A @ cC84 )
& ( A @ cC82 ) )
=> ( A @ cC86 ) )
& ( ( A @ cC86 )
=> ( ( A @ cC84 )
& ( A @ cC82 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[242]) ).
thf(6,axiom,
! [A: $i] :
( ( A @ cC140 )
<=> ? [B: $i] :
( ~ ( B @ cC100 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_23) ).
thf(262,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC100 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC140 ) )
& ( ( A @ cC140 )
=> ? [B: $i] :
( ~ ( B @ cC100 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(13,axiom,
iV21033 @ cC100,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_219) ).
thf(305,plain,
iV21033 @ cC100,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(144,axiom,
! [A: $i] :
( ( A @ cC108 )
<=> ( ~ ( A @ cC98 )
& ~ ( A @ cC106 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
thf(801,plain,
! [A: $i] :
( ( ( ~ ( A @ cC98 )
& ~ ( A @ cC106 ) )
=> ( A @ cC108 ) )
& ( ( A @ cC108 )
=> ( ~ ( A @ cC98 )
& ~ ( A @ cC106 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[144]) ).
thf(60,axiom,
! [A: $i] :
( ( A @ cC74 )
<=> ( ~ ( A @ cC72 )
& ~ ( A @ cC18 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_73) ).
thf(506,plain,
! [A: $i] :
( ( ( ~ ( A @ cC72 )
& ~ ( A @ cC18 ) )
=> ( A @ cC74 ) )
& ( ( A @ cC74 )
=> ( ~ ( A @ cC72 )
& ~ ( A @ cC18 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(179,axiom,
iV21028 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_154) ).
thf(897,plain,
iV21028 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[179]) ).
thf(110,axiom,
~ ( iV21030 @ cC52 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_204) ).
thf(664,plain,
~ ( iV21030 @ cC52 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(197,axiom,
! [A: $i] :
( ( A @ cC60 )
<=> ( ( A @ cC42 )
& ( A @ cC58 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_66) ).
thf(960,plain,
! [A: $i] :
( ( ( ( A @ cC42 )
& ( A @ cC58 ) )
=> ( A @ cC60 ) )
& ( ( A @ cC60 )
=> ( ( A @ cC42 )
& ( A @ cC58 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[197]) ).
thf(168,axiom,
! [A: $i] :
( ( A @ cC50 )
<=> ? [B: $i] :
( ~ ( B @ cC12 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_61) ).
thf(860,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC12 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC50 ) )
& ( ( A @ cC50 )
=> ? [B: $i] :
( ~ ( B @ cC12 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[168]) ).
thf(204,axiom,
~ ( iV21029 @ cC120 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_166) ).
thf(992,plain,
~ ( iV21029 @ cC120 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[204]) ).
thf(165,axiom,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ~ ( A @ cC176 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_106) ).
thf(850,plain,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ~ ( A @ cC176 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[165]) ).
thf(208,axiom,
! [A: $i] :
( ( A @ cC16 )
<=> ( ( A @ cC10 )
& ( A @ cC14 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_33) ).
thf(1004,plain,
! [A: $i] :
( ( ( ( A @ cC10 )
& ( A @ cC14 ) )
=> ( A @ cC16 ) )
& ( ( A @ cC16 )
=> ( ( A @ cC10 )
& ( A @ cC14 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[208]) ).
thf(9,axiom,
! [A: $i] :
( ( A @ cC120 )
<=> ( ~ ( A @ cC92 )
& ~ ( A @ cC118 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
thf(277,plain,
! [A: $i] :
( ( ( ~ ( A @ cC92 )
& ~ ( A @ cC118 ) )
=> ( A @ cC120 ) )
& ( ( A @ cC120 )
=> ( ~ ( A @ cC92 )
& ~ ( A @ cC118 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(239,axiom,
~ ( iV21026 @ cC28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_96) ).
thf(1093,plain,
~ ( iV21026 @ cC28 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[239]) ).
thf(99,axiom,
~ ( iV21030 @ cC148 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_187) ).
thf(624,plain,
~ ( iV21030 @ cC148 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(159,axiom,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ~ ( A @ cC148 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_93) ).
thf(839,plain,
! [A: $i] :
( ( A @ ( iV21026 @ rR1 ) )
=> ~ ( A @ cC148 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[159]) ).
thf(192,axiom,
! [A: $i] :
( ( A @ cC154 )
<=> ( ( A @ cC152 )
& ( A @ cTOP ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).
thf(935,plain,
! [A: $i] :
( ( ( ( A @ cC152 )
& ( A @ cTOP ) )
=> ( A @ cC154 ) )
& ( ( A @ cC154 )
=> ( ( A @ cC152 )
& ( A @ cTOP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[192]) ).
thf(188,axiom,
iV21033 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_223) ).
thf(923,plain,
iV21033 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[188]) ).
thf(24,axiom,
iV21036 @ cC6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_239) ).
thf(364,plain,
iV21036 @ cC6,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(57,axiom,
~ ( iV21035 @ cC12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_232) ).
thf(496,plain,
~ ( iV21035 @ cC12 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(46,axiom,
~ ( iV21033 @ cC12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_222) ).
thf(454,plain,
~ ( iV21033 @ cC12 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(1108,plain,
$false,
inference(e,[status(thm)],[645,1036,629,1024,365,479,846,909,666,481,582,994,379,269,597,878,655,384,533,550,715,913,1063,898,841,436,829,1095,320,565,724,785,372,751,357,1059,817,638,881,421,870,969,606,1013,284,924,789,591,443,646,514,1020,480,1051,821,766,687,877,428,1104,1072,453,1074,452,380,942,270,546,810,714,1047,825,429,815,260,349,916,566,879,852,522,889,551,456,1106,1032,252,742,1017,615,1096,356,593,783,328,1082,488,933,554,537,526,679,837,997,701,1060,569,984,911,792,1086,765,398,794,662,926,298,513,573,444,733,819,694,843,291,958,259,413,391,445,382,313,787,498,335,672,604,1011,990,567,245,1043,616,900,406,890,477,631,758,535,726,769,1022,848,520,626,915,399,1044,868,1015,306,563,505,653,768,827,1076,722,1034,589,944,680,548,812,749,617,342,1018,553,823,836,1049,776,557,580,1025,1070,705,707,887,327,414,971,1053,791,463,470,951,808,544,907,703,613,978,571,595,859,845,627,1084,556,524,495,813,1062,995,478,1045,967,867,735,1097,262,305,801,506,897,664,960,860,992,850,1004,277,1093,624,839,935,923,364,496,454]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS151+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.08 % 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
% 0.14/0.40 % Computer : n003.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Fri Sep 25 19:43:24 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 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
% 1.07/1.06 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.71/1.34 % [INFO] Parsing done (283ms).
% 1.71/1.36 % [INFO] Running in sequential loop mode.
% 2.46/1.75 % [INFO] eprover registered as external prover.
% 2.46/1.76 % [INFO] Scanning for conjecture ...
% 2.89/1.94 % [INFO] Found a conjecture (or negated_conjecture) and 242 axioms. Running axiom selection ...
% 3.20/2.11 % [INFO] Axiom selection finished. Selected 242 axioms (removed 0 axioms).
% 3.79/2.22 % [INFO] Problem is first-order (TPTP FOF).
% 3.79/2.24 % [INFO] Type checking passed.
% 3.79/2.25 % [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 ...
% 11.16/4.15 % External prover 'e' found a proof!
% 11.16/4.15 % [INFO] Killing All external provers ...
% 11.16/4.16 % Time passed: 3609ms (effective reasoning time: 2791ms)
% 11.16/4.16 % 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)>
% 11.16/4.16 % Axioms used in derivation (242): axiom_7, axiom_26, axiom_136, axiom_108, axiom_88, axiom_55, axiom_232, axiom_114, axiom_119, axiom_174, axiom_33, axiom_181, axiom_10, axiom_40, axiom_221, axiom_22, axiom_152, axiom_163, axiom_59, axiom_125, axiom_237, axiom_77, axiom_185, axiom_217, axiom_44, axiom_49, axiom_198, axiom_214, axiom_168, axiom_206, axiom_15, axiom_95, axiom_191, axiom_121, axiom_179, axiom_233, axiom_73, axiom_141, axiom_130, axiom_226, axiom_67, axiom_69, axiom_51, axiom_21, axiom_157, axiom_195, axiom_19, axiom_99, axiom_84, axiom_222, axiom_203, axiom_63, axiom_110, axiom_103, axiom_38, axiom_146, axiom_170, axiom_147, axiom_220, axiom_184, axiom_2, axiom_129, axiom_79, axiom_151, axiom_158, axiom_89, axiom_43, axiom_107, axiom_173, axiom_27, axiom_162, axiom_137, axiom_143, axiom_180, axiom_218, axiom_32, axiom_6, axiom_91, axiom_238, axiom_169, axiom_60, axiom_144, axiom_118, axiom_132, axiom_126, axiom_208, axiom_155, axiom_78, axiom_187, axiom_54, axiom_92, axiom_196, axiom_133, axiom_100, axiom_234, axiom_148, axiom_64, axiom_16, axiom_159, axiom_50, axiom_176, axiom_227, axiom_207, axiom_122, axiom_81, axiom_74, axiom_111, axiom_213, axiom_3, axiom_96, axiom_140, axiom_192, axiom_202, axiom_68, axiom_46, axiom_104, axiom_241, axiom_154, axiom_20, axiom_85, axiom_165, axiom_223, axiom_70, axiom_115, axiom_205, axiom_156, axiom_145, axiom_42, axiom_31, axiom_24, axiom_90, axiom_1, axiom_212, axiom_57, axiom_230, axiom_138, axiom_127, axiom_224, axiom_209, axiom_235, axiom_116, axiom_61, axiom_105, axiom_28, axiom_35, axiom_229, axiom_150, axiom_216, axiom_53, axiom_197, axiom_167, axiom_189, axiom_101, axiom_112, axiom_65, axiom_36, axiom_219, axiom_39, axiom_80, axiom_71, axiom_8, axiom_97, axiom_17, axiom_161, axiom_193, axiom_86, axiom_201, axiom_149, axiom_75, axiom_183, axiom_172, axiom_5, axiom_47, axiom_240, axiom_166, axiom_13, axiom_177, axiom_93, axiom_134, axiom_123, axiom_82, axiom_188, axiom_41, axiom_128, axiom_171, axiom_109, axiom_76, axiom_164, axiom_25, axiom_225, axiom_200, axiom_211, axiom_52, axiom_34, axiom_182, axiom_139, axiom_194, axiom_204, axiom_153, axiom_0, axiom_58, axiom_62, axiom_231, axiom_45, axiom_11, axiom_199, axiom_215, axiom_117, axiom_160, axiom_56, axiom_175, axiom_29, axiom_23, axiom_236, axiom_106, axiom_30, axiom_186, axiom_239, axiom_18, axiom_228, axiom_87, axiom_131, axiom_113, axiom_12, axiom_9, axiom_98, axiom_102, axiom_178, axiom_48, axiom_142, axiom_83, axiom_14, axiom_124, axiom_72, axiom_120, axiom_190, axiom_4, axiom_210, axiom_66, axiom_37, axiom_135, axiom_94
% 11.16/4.16 % No. of inferences in proof: 488
% 11.16/4.16 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 3609 ms resp. 2791 ms w/o parsing
% 11.78/4.36 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.78/4.36 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------