%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : KRS153+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n008.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 9.02s 4.01s
% Output : Refutation 9.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 197
% Syntax : Number of formulae : 396 ( 199 unt; 0 typ; 0 def)
% Number of atoms : 1008 ( 0 equ; 0 cnn)
% Maximal formula atoms : 51 ( 2 avg)
% Number of connectives : 2091 ( 292 ~; 0 |; 361 &;1187 @)
% ( 57 <=>; 194 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 84 ( 83 usr; 17 con; 0-2 aty)
% Number of variables : 278 ( 0 ^; 200 !; 78 ?; 278 :)
% 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(cC106_decl,type,
cC106: $i > $o ).
thf(iV16439_decl,type,
iV16439: $i ).
thf(cC28_decl,type,
cC28: $i > $o ).
thf(cC130_decl,type,
cC130: $i > $o ).
thf(cC108_decl,type,
cC108: $i > $o ).
thf(cC104_decl,type,
cC104: $i > $o ).
thf(cC80_decl,type,
cC80: $i > $o ).
thf(iV16440_decl,type,
iV16440: $i ).
thf(cC82_decl,type,
cC82: $i > $o ).
thf(cC98_decl,type,
cC98: $i > $o ).
thf(iV16448_decl,type,
iV16448: $i ).
thf(cC38_decl,type,
cC38: $i > $o ).
thf(cC62_decl,type,
cC62: $i > $o ).
thf(iV16453_decl,type,
iV16453: $i ).
thf(cC76_decl,type,
cC76: $i > $o ).
thf(cC60_decl,type,
cC60: $i > $o ).
thf(cC44_decl,type,
cC44: $i > $o ).
thf(iV16455_decl,type,
iV16455: $i ).
thf(cC56_decl,type,
cC56: $i > $o ).
thf(cC42_decl,type,
cC42: $i > $o ).
thf(iV16457_decl,type,
iV16457: $i ).
thf(cC68_decl,type,
cC68: $i > $o ).
thf(iV16459_decl,type,
iV16459: $i ).
thf(cC88_decl,type,
cC88: $i > $o ).
thf(cC50_decl,type,
cC50: $i > $o ).
thf(cC34_decl,type,
cC34: $i > $o ).
thf(iV16460_decl,type,
iV16460: $i ).
thf(iV16461_decl,type,
iV16461: $i ).
thf(iV16462_decl,type,
iV16462: $i ).
thf(iV16463_decl,type,
iV16463: $i ).
thf(iV16464_decl,type,
iV16464: $i ).
thf(iV16465_decl,type,
iV16465: $i ).
thf(cC126_decl,type,
cC126: $i > $o ).
thf(rR1_decl,type,
rR1: $i > $i > $o ).
thf(cC124_decl,type,
cC124: $i > $o ).
thf(cC22_decl,type,
cC22: $i > $o ).
thf(cC20_decl,type,
cC20: $i > $o ).
thf(cC24_decl,type,
cC24: $i > $o ).
thf(cC48_decl,type,
cC48: $i > $o ).
thf(cC8_decl,type,
cC8: $i > $o ).
thf(cC4_decl,type,
cC4: $i > $o ).
thf(cC74_decl,type,
cC74: $i > $o ).
thf(cC72_decl,type,
cC72: $i > $o ).
thf(cC110_decl,type,
cC110: $i > $o ).
thf(cC12_decl,type,
cC12: $i > $o ).
thf(cC96_decl,type,
cC96: $i > $o ).
thf(cC94_decl,type,
cC94: $i > $o ).
thf(cC14_decl,type,
cC14: $i > $o ).
thf(cC10_decl,type,
cC10: $i > $o ).
thf(cC64_decl,type,
cC64: $i > $o ).
thf(cC92_decl,type,
cC92: $i > $o ).
thf(cC90_decl,type,
cC90: $i > $o ).
thf(cC54_decl,type,
cC54: $i > $o ).
thf(cC52_decl,type,
cC52: $i > $o ).
thf(cC30_decl,type,
cC30: $i > $o ).
thf(cC2_decl,type,
cC2: $i > $o ).
thf(cC66_decl,type,
cC66: $i > $o ).
thf(cC32_decl,type,
cC32: $i > $o ).
thf(cC70_decl,type,
cC70: $i > $o ).
thf(cC128_decl,type,
cC128: $i > $o ).
thf(cC84_decl,type,
cC84: $i > $o ).
thf(cC6_decl,type,
cC6: $i > $o ).
thf(cC18_decl,type,
cC18: $i > $o ).
thf(cC16_decl,type,
cC16: $i > $o ).
thf(cC26_decl,type,
cC26: $i > $o ).
thf(cC86_decl,type,
cC86: $i > $o ).
thf(cC46_decl,type,
cC46: $i > $o ).
thf(cC112_decl,type,
cC112: $i > $o ).
thf(cC102_decl,type,
cC102: $i > $o ).
thf(cC78_decl,type,
cC78: $i > $o ).
thf(cC40_decl,type,
cC40: $i > $o ).
thf(cTEST_decl,type,
cTEST: $i > $o ).
thf(iV16441_decl,type,
iV16441: $i ).
thf(iV16442_decl,type,
iV16442: $i ).
thf(cTOP_decl,type,
cTOP: $i > $o ).
thf(cC36_decl,type,
cC36: $i > $o ).
thf(iV16449_decl,type,
iV16449: $i ).
thf(cC100_decl,type,
cC100: $i > $o ).
thf(cC58_decl,type,
cC58: $i > $o ).
thf(118,axiom,
! [A: $i] :
( ( A @ ( iV16460 @ rR1 ) )
=> ( A @ cC34 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_145) ).
thf(628,plain,
! [A: $i] :
( ( A @ ( iV16460 @ rR1 ) )
=> ( A @ cC34 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(7,axiom,
! [A: $i] :
( ( A @ cC74 )
<=> ? [B: $i] :
( ( B @ cC72 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_46) ).
thf(234,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC72 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC74 ) )
& ( ( A @ cC74 )
=> ? [B: $i] :
( ( B @ cC72 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(171,axiom,
~ ( iV16459 @ cC64 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_133) ).
thf(777,plain,
~ ( iV16459 @ cC64 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[171]) ).
thf(57,axiom,
! [A: $i] :
( ( A @ cC38 )
<=> ( ( A @ cTOP )
& ~ ( A @ cC36 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).
thf(481,plain,
! [A: $i] :
( ( ( ( A @ cTOP )
& ~ ( A @ cC36 ) )
=> ( A @ cC38 ) )
& ( ( A @ cC38 )
=> ( ( A @ cTOP )
& ~ ( A @ cC36 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(13,axiom,
! [A: $i] :
( ( A @ cC54 )
<=> ? [B: $i] :
( ( B @ cC52 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_35) ).
thf(276,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)],[13]) ).
thf(50,axiom,
! [A: $i] :
( ( A @ cC76 )
<=> ( ( A @ cC62 )
& ~ ( A @ cC74 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_47) ).
thf(449,plain,
! [A: $i] :
( ( ( ( A @ cC62 )
& ~ ( A @ cC74 ) )
=> ( A @ cC76 ) )
& ( ( A @ cC76 )
=> ( ( A @ cC62 )
& ~ ( A @ cC74 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(44,axiom,
! [A: $i] :
( ( A @ ( iV16461 @ rR1 ) )
=> ~ ( A @ cC90 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_150) ).
thf(440,plain,
! [A: $i] :
( ( A @ ( iV16461 @ rR1 ) )
=> ~ ( A @ cC90 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(70,axiom,
~ ( iV16455 @ cC92 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_104) ).
thf(511,plain,
~ ( iV16455 @ cC92 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(111,axiom,
~ ( iV16460 @ cC70 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_142) ).
thf(614,plain,
~ ( iV16460 @ cC70 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(12,axiom,
! [A: $i] :
( ( A @ cC92 )
<=> ? [B: $i] :
( ( B @ cC90 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_55) ).
thf(269,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC90 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC92 ) )
& ( ( A @ cC92 )
=> ? [B: $i] :
( ( B @ cC90 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(137,axiom,
iV16462 @ cowlThing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_168) ).
thf(677,plain,
iV16462 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(89,axiom,
iV16440 @ cowlThing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_72) ).
thf(550,plain,
iV16440 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(55,axiom,
! [A: $i] :
( ( A @ ( iV16460 @ rR1 ) )
=> ( A @ cC88 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_143) ).
thf(472,plain,
! [A: $i] :
( ( A @ ( iV16460 @ rR1 ) )
=> ( A @ cC88 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(144,axiom,
~ ( iV16440 @ cC96 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_71) ).
thf(698,plain,
~ ( iV16440 @ cC96 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[144]) ).
thf(150,axiom,
iV16459 @ cC12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_128) ).
thf(709,plain,
iV16459 @ cC12,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[150]) ).
thf(128,axiom,
~ ( iV16455 @ cC72 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_102) ).
thf(651,plain,
~ ( iV16455 @ cC72 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(176,axiom,
! [A: $i] :
( ( A @ ( iV16460 @ rR1 ) )
=> ( A @ cC50 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_144) ).
thf(785,plain,
! [A: $i] :
( ( A @ ( iV16460 @ rR1 ) )
=> ( A @ cC50 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[176]) ).
thf(197,axiom,
! [A: $i] :
( ( A @ ( iV16463 @ rR1 ) )
=> ~ ( A @ cC72 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_172) ).
thf(838,plain,
! [A: $i] :
( ( A @ ( iV16463 @ rR1 ) )
=> ~ ( A @ cC72 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[197]) ).
thf(123,axiom,
! [A: $i] :
( ( A @ ( iV16448 @ rR1 ) )
=> ( A @ cC50 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_80) ).
thf(638,plain,
! [A: $i] :
( ( A @ ( iV16448 @ rR1 ) )
=> ( A @ cC50 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(36,axiom,
! [A: $i] :
( ( A @ ( iV16453 @ rR1 ) )
=> ~ ( A @ cC92 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_88) ).
thf(421,plain,
! [A: $i] :
( ( A @ ( iV16453 @ rR1 ) )
=> ~ ( A @ cC92 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(20,axiom,
! [A: $i] :
( ( A @ cC10 )
<=> ( ( A @ cC6 )
& ( A @ cC8 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(325,plain,
! [A: $i] :
( ( ( ( A @ cC6 )
& ( A @ cC8 ) )
=> ( A @ cC10 ) )
& ( ( A @ cC10 )
=> ( ( A @ cC6 )
& ( A @ cC8 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(49,axiom,
iV16462 @ ( iV16461 @ rR1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_157) ).
thf(448,plain,
iV16462 @ ( iV16461 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(165,axiom,
~ ( iV16453 @ cC16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_90) ).
thf(756,plain,
~ ( iV16453 @ cC16 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[165]) ).
thf(178,axiom,
~ ( iV16461 @ cC92 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_149) ).
thf(789,plain,
~ ( iV16461 @ cC92 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[178]) ).
thf(195,axiom,
~ ( iV16459 @ cC18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_126) ).
thf(834,plain,
~ ( iV16459 @ cC18 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[195]) ).
thf(72,axiom,
~ ( iV16465 @ cC52 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_191) ).
thf(514,plain,
~ ( iV16465 @ cC52 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(185,axiom,
~ ( iV16465 @ cC8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_194) ).
thf(806,plain,
~ ( iV16465 @ cC8 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[185]) ).
thf(24,axiom,
! [A: $i] :
( ( A @ cC6 )
<=> ( ( A @ cC2 )
& ( A @ cC4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_38) ).
thf(353,plain,
! [A: $i] :
( ( ( ( A @ cC2 )
& ( A @ cC4 ) )
=> ( A @ cC6 ) )
& ( ( A @ cC6 )
=> ( ( A @ cC2 )
& ( A @ cC4 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(107,axiom,
! [A: $i] :
( ( A @ cC88 )
<=> ( ~ ( A @ cC86 )
& ~ ( A @ cC84 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_53) ).
thf(602,plain,
! [A: $i] :
( ( ( ~ ( A @ cC86 )
& ~ ( A @ cC84 ) )
=> ( A @ cC88 ) )
& ( ( A @ cC88 )
=> ( ~ ( A @ cC86 )
& ~ ( A @ cC84 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(121,axiom,
! [A: $i] :
( ( A @ ( iV16457 @ rR1 ) )
=> ( A @ cC68 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_111) ).
thf(634,plain,
! [A: $i] :
( ( A @ ( iV16457 @ rR1 ) )
=> ( A @ cC68 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(143,axiom,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(692,plain,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).
thf(68,axiom,
! [A: $i] :
( ( A @ ( iV16448 @ rR1 ) )
=> ( A @ cC68 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_77) ).
thf(507,plain,
! [A: $i] :
( ( A @ ( iV16448 @ rR1 ) )
=> ( A @ cC68 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(3,axiom,
! [A: $i] :
( ( A @ cC126 )
<=> ? [B: $i] :
( ( B @ cC124 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
thf(206,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC124 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC126 ) )
& ( ( A @ cC126 )
=> ? [B: $i] :
( ( B @ cC124 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(9,axiom,
! [A: $i] :
( ( A @ cC96 )
<=> ? [B: $i] :
( ( B @ cC94 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_57) ).
thf(248,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC94 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC96 ) )
& ( ( A @ cC96 )
=> ? [B: $i] :
( ( B @ cC94 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(43,axiom,
iV16455 @ cowlThing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_105) ).
thf(439,plain,
iV16455 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(138,axiom,
~ ( iV16459 @ cC66 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_127) ).
thf(678,plain,
~ ( iV16459 @ cC66 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).
thf(187,axiom,
~ ( iV16464 @ cC92 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_184) ).
thf(810,plain,
~ ( iV16464 @ cC92 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[187]) ).
thf(28,axiom,
! [A: $i] :
( ( A @ cC112 )
<=> ( ( A @ cC110 )
& ~ ( A @ cC102 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
thf(381,plain,
! [A: $i] :
( ( ( ( A @ cC110 )
& ~ ( A @ cC102 ) )
=> ( A @ cC112 ) )
& ( ( A @ cC112 )
=> ( ( A @ cC110 )
& ~ ( A @ cC102 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(5,axiom,
! [A: $i] :
( ( A @ cC24 )
<=> ? [B: $i] :
( ( B @ cC22 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
thf(220,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC22 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC24 ) )
& ( ( A @ cC24 )
=> ? [B: $i] :
( ( B @ cC22 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(83,axiom,
~ ( iV16462 @ cC90 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_163) ).
thf(534,plain,
~ ( iV16462 @ cC90 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(153,axiom,
~ ( iV16460 @ cC36 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_137) ).
thf(714,plain,
~ ( iV16460 @ cC36 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[153]) ).
thf(162,axiom,
~ ( iV16463 @ cC94 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_170) ).
thf(746,plain,
~ ( iV16463 @ cC94 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[162]) ).
thf(105,axiom,
! [A: $i] :
( ( A @ ( iV16455 @ rR1 ) )
=> ( A @ cC38 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_106) ).
thf(598,plain,
! [A: $i] :
( ( A @ ( iV16455 @ rR1 ) )
=> ( A @ cC38 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(190,axiom,
! [A: $i] :
( ( A @ cC44 )
<=> ( ( A @ cC42 )
& ~ ( A @ cC40 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).
thf(820,plain,
! [A: $i] :
( ( ( ( A @ cC42 )
& ~ ( A @ cC40 ) )
=> ( A @ cC44 ) )
& ( ( A @ cC44 )
=> ( ( A @ cC42 )
& ~ ( A @ cC40 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[190]) ).
thf(16,axiom,
! [A: $i] :
( ( A @ cC32 )
<=> ( ~ ( A @ cC4 )
& ~ ( A @ cC2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
thf(297,plain,
! [A: $i] :
( ( ( ~ ( A @ cC4 )
& ~ ( A @ cC2 ) )
=> ( A @ cC32 ) )
& ( ( A @ cC32 )
=> ( ~ ( A @ cC4 )
& ~ ( A @ cC2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(119,axiom,
! [A: $i] :
( ( A @ ( iV16464 @ rR1 ) )
=> ( A @ cC38 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_182) ).
thf(630,plain,
! [A: $i] :
( ( A @ ( iV16464 @ rR1 ) )
=> ( A @ cC38 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(40,axiom,
! [A: $i] :
( ( A @ ( iV16465 @ rR1 ) )
=> ( A @ cC34 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_193) ).
thf(429,plain,
! [A: $i] :
( ( A @ ( iV16465 @ rR1 ) )
=> ( A @ cC34 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(133,axiom,
! [A: $i] :
( ( A @ cC80 )
<=> ? [B: $i] :
( ~ ( B @ cC16 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_49) ).
thf(665,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC16 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC80 ) )
& ( ( A @ cC80 )
=> ? [B: $i] :
( ~ ( B @ cC16 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(61,axiom,
! [A: $i] :
( ( A @ ( iV16465 @ rR1 ) )
=> ( A @ cC88 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_192) ).
thf(493,plain,
! [A: $i] :
( ( A @ ( iV16465 @ rR1 ) )
=> ( A @ cC88 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(140,axiom,
! [A: $i] :
( ( A @ ( iV16462 @ rR1 ) )
=> ( A @ cC88 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_166) ).
thf(682,plain,
! [A: $i] :
( ( A @ ( iV16462 @ rR1 ) )
=> ( A @ cC88 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).
thf(90,axiom,
iV16448 @ cTOP,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_79) ).
thf(551,plain,
iV16448 @ cTOP,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(151,axiom,
~ ( iV16465 @ cC36 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_195) ).
thf(710,plain,
~ ( iV16465 @ cC36 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[151]) ).
thf(51,axiom,
! [A: $i] :
( ( A @ cC60 )
<=> ? [B: $i] :
( ~ ( B @ cC12 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_39) ).
thf(456,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC12 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC60 ) )
& ( ( A @ cC60 )
=> ? [B: $i] :
( ~ ( B @ cC12 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(100,axiom,
! [A: $i] :
( ( A @ cC34 )
<=> ( ~ ( A @ cC30 )
& ~ ( A @ cC32 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).
thf(583,plain,
! [A: $i] :
( ( ( ~ ( A @ cC30 )
& ~ ( A @ cC32 ) )
=> ( A @ cC34 ) )
& ( ( A @ cC34 )
=> ( ~ ( A @ cC30 )
& ~ ( A @ cC32 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(77,axiom,
~ ( iV16459 @ cC84 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_132) ).
thf(522,plain,
~ ( iV16459 @ cC84 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(193,axiom,
~ ( iV16463 @ cC58 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_174) ).
thf(830,plain,
~ ( iV16463 @ cC58 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[193]) ).
thf(156,axiom,
! [A: $i] :
( ( A @ cC62 )
<=> ( ~ ( A @ cC58 )
& ( A @ cC60 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_40) ).
thf(725,plain,
! [A: $i] :
( ( ( ~ ( A @ cC58 )
& ( A @ cC60 ) )
=> ( A @ cC62 ) )
& ( ( A @ cC62 )
=> ( ~ ( A @ cC58 )
& ( A @ cC60 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[156]) ).
thf(29,axiom,
! [A: $i] :
( ( A @ ( iV16462 @ rR1 ) )
=> ( A @ cC34 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_164) ).
thf(388,plain,
! [A: $i] :
( ( A @ ( iV16462 @ rR1 ) )
=> ( A @ cC34 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(175,axiom,
! [A: $i] :
( ( A @ ( iV16463 @ rR1 ) )
=> ( A @ cC56 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_171) ).
thf(783,plain,
! [A: $i] :
( ( A @ ( iV16463 @ rR1 ) )
=> ( A @ cC56 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[175]) ).
thf(64,axiom,
~ ( iV16461 @ cC40 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_147) ).
thf(499,plain,
~ ( iV16461 @ cC40 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(75,axiom,
iV16449 @ cowlThing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_87) ).
thf(519,plain,
iV16449 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(160,axiom,
~ ( iV16448 @ cC90 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_83) ).
thf(742,plain,
~ ( iV16448 @ cC90 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[160]) ).
thf(97,axiom,
iV16465 @ cTOP,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_196) ).
thf(578,plain,
iV16465 @ cTOP,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(54,axiom,
iV16462 @ cTOP,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_162) ).
thf(471,plain,
iV16462 @ cTOP,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(58,axiom,
~ ( iV16448 @ cC36 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_76) ).
thf(488,plain,
~ ( iV16448 @ cC36 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(22,axiom,
! [A: $i] :
( ( A @ cC20 )
<=> ? [B: $i] :
( ~ ( B @ cC18 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
thf(339,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)],[22]) ).
thf(85,axiom,
~ ( iV16453 @ cC94 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_95) ).
thf(537,plain,
~ ( iV16453 @ cC94 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(125,axiom,
iV16459 @ cowlThing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_134) ).
thf(642,plain,
iV16459 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(79,axiom,
! [A: $i] :
( ( A @ ( iV16461 @ rR1 ) )
=> ( A @ cC38 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_154) ).
thf(526,plain,
! [A: $i] :
( ( A @ ( iV16461 @ rR1 ) )
=> ( A @ cC38 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(101,axiom,
~ ( iV16460 @ cC8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_141) ).
thf(590,plain,
~ ( iV16460 @ cC8 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(115,axiom,
! [A: $i] :
( ( A @ ( iV16457 @ rR1 ) )
=> ( A @ cC50 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_116) ).
thf(622,plain,
! [A: $i] :
( ( A @ ( iV16457 @ rR1 ) )
=> ( A @ cC50 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(146,axiom,
~ ( iV16459 @ cC2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_130) ).
thf(701,plain,
~ ( iV16459 @ cC2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[146]) ).
thf(130,axiom,
~ ( iV16455 @ cC54 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_103) ).
thf(654,plain,
~ ( iV16455 @ cC54 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(95,axiom,
~ ( iV16459 @ cC10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_131) ).
thf(569,plain,
~ ( iV16459 @ cC10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(172,axiom,
iV16459 @ cC4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_119) ).
thf(779,plain,
iV16459 @ cC4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[172]) ).
thf(66,axiom,
~ ( iV16461 @ cC12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_151) ).
thf(503,plain,
~ ( iV16461 @ cC12 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(180,axiom,
~ ( iV16455 @ cC12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_97) ).
thf(792,plain,
~ ( iV16455 @ cC12 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[180]) ).
thf(25,axiom,
! [A: $i] :
( ( A @ cC26 )
<=> ? [B: $i] :
( ( B @ cC24 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
thf(360,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC24 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC26 ) )
& ( ( A @ cC26 )
=> ? [B: $i] :
( ( B @ cC24 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(184,axiom,
iV16439 @ cTEST,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).
thf(805,plain,
iV16439 @ cTEST,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[184]) ).
thf(18,axiom,
! [A: $i] :
( ( A @ cC128 )
<=> ? [B: $i] :
( ( B @ cC126 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
thf(311,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)],[18]) ).
thf(87,axiom,
! [A: $i] :
( ( A @ cC130 )
<=> ? [B: $i] :
( ( B @ cC128 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
thf(541,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC128 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC130 ) )
& ( ( A @ cC130 )
=> ? [B: $i] :
( ( B @ cC128 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(167,axiom,
~ ( iV16465 @ cC70 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_190) ).
thf(765,plain,
~ ( iV16465 @ cC70 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[167]) ).
thf(32,axiom,
! [A: $i] :
( ( A @ cC78 )
<=> ? [B: $i] :
( ~ ( B @ cC76 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_48) ).
thf(398,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC76 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC78 ) )
& ( ( A @ cC78 )
=> ? [B: $i] :
( ~ ( B @ cC76 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(81,axiom,
~ ( iV16462 @ cC70 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_167) ).
thf(530,plain,
~ ( iV16462 @ cC70 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(181,axiom,
! [A: $i] :
( ( A @ cC50 )
<=> ( ~ ( A @ cC48 )
& ~ ( A @ cC46 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_33) ).
thf(794,plain,
! [A: $i] :
( ( ( ~ ( A @ cC48 )
& ~ ( A @ cC46 ) )
=> ( A @ cC50 ) )
& ( ( A @ cC50 )
=> ( ~ ( A @ cC48 )
& ~ ( A @ cC46 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[181]) ).
thf(155,axiom,
! [A: $i] :
( ( A @ cC58 )
<=> ? [B: $i] :
( ~ ( B @ cC56 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).
thf(718,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC56 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC58 ) )
& ( ( A @ cC58 )
=> ? [B: $i] :
( ~ ( B @ cC56 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[155]) ).
thf(34,axiom,
! [A: $i] :
( ( A @ cC40 )
<=> ? [B: $i] :
( ~ ( B @ cC38 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
thf(412,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC38 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC40 ) )
& ( ( A @ cC40 )
=> ? [B: $i] :
( ~ ( B @ cC38 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(113,axiom,
~ ( iV16463 @ cC16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_175) ).
thf(618,plain,
~ ( iV16463 @ cC16 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(38,axiom,
~ ( iV16459 @ cC32 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_135) ).
thf(425,plain,
~ ( iV16459 @ cC32 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(71,axiom,
iV16464 @ cowlThing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_187) ).
thf(513,plain,
iV16464 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(46,axiom,
~ ( iV16459 @ cC48 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_120) ).
thf(444,plain,
~ ( iV16459 @ cC48 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(94,axiom,
! [A: $i] :
( ( A @ cC52 )
<=> ? [B: $i] :
( ~ ( B @ cC50 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
thf(562,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC50 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC52 ) )
& ( ( A @ cC52 )
=> ? [B: $i] :
( ~ ( B @ cC50 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(37,axiom,
~ ( iV16464 @ cC54 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_181) ).
thf(423,plain,
~ ( iV16464 @ cC54 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(157,axiom,
! [A: $i] :
( ( A @ cC82 )
<=> ( ( A @ cC80 )
& ~ ( A @ cC78 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_50) ).
thf(732,plain,
! [A: $i] :
( ( ( ( A @ cC80 )
& ~ ( A @ cC78 ) )
=> ( A @ cC82 ) )
& ( ( A @ cC82 )
=> ( ( A @ cC80 )
& ~ ( A @ cC78 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[157]) ).
thf(98,axiom,
~ ( iV16459 @ cC86 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_123) ).
thf(579,plain,
~ ( iV16459 @ cC86 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(31,axiom,
! [A: $i] :
( ( A @ cC108 )
<=> ( ( A @ cC106 )
& ( A @ cC28 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
thf(391,plain,
! [A: $i] :
( ( ( ( A @ cC106 )
& ( A @ cC28 ) )
=> ( A @ cC108 ) )
& ( ( A @ cC108 )
=> ( ( A @ cC106 )
& ( A @ cC28 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(134,axiom,
iV16460 @ ( iV16455 @ rR1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_107) ).
thf(672,plain,
iV16460 @ ( iV16455 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).
thf(109,axiom,
iV16463 @ ( iV16440 @ rR1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_73) ).
thf(611,plain,
iV16463 @ ( iV16440 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(177,axiom,
~ ( iV16464 @ cC72 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_178) ).
thf(787,plain,
~ ( iV16464 @ cC72 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[177]) ).
thf(35,axiom,
~ ( iV16463 @ cC74 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_173) ).
thf(419,plain,
~ ( iV16463 @ cC74 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(19,axiom,
! [A: $i] :
( ( A @ cC84 )
<=> ( ( A @ cC12 )
& ( A @ cC2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_51) ).
thf(318,plain,
! [A: $i] :
( ( ( ( A @ cC12 )
& ( A @ cC2 ) )
=> ( A @ cC84 ) )
& ( ( A @ cC84 )
=> ( ( A @ cC12 )
& ( A @ cC2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(112,axiom,
! [A: $i] :
( ( A @ ( iV16461 @ rR1 ) )
=> ~ ( A @ cC70 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_153) ).
thf(616,plain,
! [A: $i] :
( ( A @ ( iV16461 @ rR1 ) )
=> ~ ( A @ cC70 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(69,axiom,
! [A: $i] :
( ( A @ ( iV16463 @ rR1 ) )
=> ~ ( A @ cC92 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_169) ).
thf(509,plain,
! [A: $i] :
( ( A @ ( iV16463 @ rR1 ) )
=> ~ ( A @ cC92 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(127,axiom,
! [A: $i] :
( ( A @ ( iV16465 @ rR1 ) )
=> ( A @ cC68 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_189) ).
thf(649,plain,
! [A: $i] :
( ( A @ ( iV16465 @ rR1 ) )
=> ( A @ cC68 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(166,axiom,
! [A: $i] :
( ( A @ cC28 )
<=> ? [B: $i] :
( ( B @ cC26 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).
thf(758,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)],[166]) ).
thf(108,axiom,
~ ( iV16457 @ cC90 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_114) ).
thf(609,plain,
~ ( iV16457 @ cC90 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(103,axiom,
! [A: $i] :
( ( A @ ( iV16460 @ rR1 ) )
=> ( A @ cC68 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_138) ).
thf(594,plain,
! [A: $i] :
( ( A @ ( iV16460 @ rR1 ) )
=> ( A @ cC68 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(4,axiom,
! [A: $i] :
( ( A @ cC22 )
<=> ? [B: $i] :
( ( B @ cC20 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
thf(213,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC20 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC22 ) )
& ( ( A @ cC22 )
=> ? [B: $i] :
( ( B @ cC20 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(117,axiom,
~ ( iV16459 @ cC8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_129) ).
thf(626,plain,
~ ( iV16459 @ cC8 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(169,axiom,
! [A: $i] :
( ( A @ cC98 )
<=> ( ( A @ cC82 )
& ~ ( A @ cC96 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_58) ).
thf(769,plain,
! [A: $i] :
( ( ( ( A @ cC82 )
& ~ ( A @ cC96 ) )
=> ( A @ cC98 ) )
& ( ( A @ cC98 )
=> ( ( A @ cC82 )
& ~ ( A @ cC96 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[169]) ).
thf(26,axiom,
! [A: $i] :
( ( A @ cC86 )
<=> ( ~ ( A @ cC2 )
& ~ ( A @ cC12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_52) ).
thf(367,plain,
! [A: $i] :
( ( ( ~ ( A @ cC2 )
& ~ ( A @ cC12 ) )
=> ( A @ cC86 ) )
& ( ( A @ cC86 )
=> ( ~ ( A @ cC2 )
& ~ ( A @ cC12 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(91,axiom,
iV16460 @ cTOP,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_140) ).
thf(552,plain,
iV16460 @ cTOP,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(145,axiom,
iV16441 @ cowlThing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_74) ).
thf(700,plain,
iV16441 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[145]) ).
thf(76,axiom,
~ ( iV16457 @ cC70 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_115) ).
thf(520,plain,
~ ( iV16457 @ cC70 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(142,axiom,
! [A: $i] :
( ( A @ cC90 )
<=> ? [B: $i] :
( ~ ( B @ cC88 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_54) ).
thf(685,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC88 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC90 ) )
& ( ( A @ cC90 )
=> ? [B: $i] :
( ~ ( B @ cC88 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[142]) ).
thf(191,axiom,
iV16461 @ cowlThing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_155) ).
thf(827,plain,
iV16461 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[191]) ).
thf(122,axiom,
! [A: $i] :
( ( A @ ( iV16464 @ rR1 ) )
=> ~ ( A @ cC90 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_185) ).
thf(636,plain,
! [A: $i] :
( ( A @ ( iV16464 @ rR1 ) )
=> ~ ( A @ cC90 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(173,axiom,
iV16440 @ ( iV16439 @ rR1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_64) ).
thf(780,plain,
iV16440 @ ( iV16439 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[173]) ).
thf(41,axiom,
! [A: $i] :
( ( A @ cTEST )
<=> ( ( A @ cC130 )
& ( A @ cC108 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_59) ).
thf(431,plain,
! [A: $i] :
( ( ( ( A @ cC130 )
& ( A @ cC108 ) )
=> ( A @ cTEST ) )
& ( ( A @ cTEST )
=> ( ( A @ cC130 )
& ( A @ cC108 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(132,axiom,
! [A: $i] :
( ( A @ cC100 )
<=> ? [B: $i] :
( ~ ( B @ cC98 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(658,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC98 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC100 ) )
& ( ( A @ cC100 )
=> ? [B: $i] :
( ~ ( B @ cC98 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(67,axiom,
~ ( iV16460 @ cC52 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_139) ).
thf(505,plain,
~ ( iV16460 @ cC52 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(42,axiom,
iV16463 @ cowlThing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_176) ).
thf(438,plain,
iV16463 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(8,axiom,
! [A: $i] :
( ( A @ cC110 )
<=> ( ~ ( A @ cC4 )
& ~ ( A @ cC12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
thf(241,plain,
! [A: $i] :
( ( ( ~ ( A @ cC4 )
& ~ ( A @ cC12 ) )
=> ( A @ cC110 ) )
& ( ( A @ cC110 )
=> ( ~ ( A @ cC4 )
& ~ ( A @ cC12 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(129,axiom,
iV16442 @ ( iV16439 @ rR1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_65) ).
thf(653,plain,
iV16442 @ ( iV16439 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(139,axiom,
~ ( iV16459 @ cC6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_122) ).
thf(680,plain,
~ ( iV16459 @ cC6 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).
thf(88,axiom,
~ ( iV16465 @ cC90 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_199) ).
thf(548,plain,
~ ( iV16465 @ cC90 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(27,axiom,
! [A: $i] :
( ( A @ cC46 )
<=> ( ( A @ cC4 )
& ( A @ cC8 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_31) ).
thf(374,plain,
! [A: $i] :
( ( ( ( A @ cC4 )
& ( A @ cC8 ) )
=> ( A @ cC46 ) )
& ( ( A @ cC46 )
=> ( ( A @ cC4 )
& ( A @ cC8 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(10,axiom,
! [A: $i] :
( ( A @ cC14 )
<=> ( ( A @ cC12 )
& ( A @ cC10 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
thf(255,plain,
! [A: $i] :
( ( ( ( A @ cC12 )
& ( A @ cC10 ) )
=> ( A @ cC14 ) )
& ( ( A @ cC14 )
=> ( ( A @ cC12 )
& ( A @ cC10 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(188,axiom,
iV16453 @ cowlThing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_94) ).
thf(812,plain,
iV16453 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[188]) ).
thf(164,axiom,
! [A: $i] :
( ( A @ cC106 )
<=> ( ( A @ cC104 )
& ~ ( A @ cC100 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(749,plain,
! [A: $i] :
( ( ( ( A @ cC104 )
& ~ ( A @ cC100 ) )
=> ( A @ cC106 ) )
& ( ( A @ cC106 )
=> ( ( A @ cC104 )
& ~ ( A @ cC100 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[164]) ).
thf(73,axiom,
iV16460 @ cowlThing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_146) ).
thf(516,plain,
iV16460 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(92,axiom,
! [A: $i] :
( ( A @ cC36 )
<=> ? [B: $i] :
( ~ ( B @ cC34 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).
thf(553,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC34 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC36 ) )
& ( ( A @ cC36 )
=> ? [B: $i] :
( ~ ( B @ cC34 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(196,axiom,
~ ( iV16448 @ cC70 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_82) ).
thf(836,plain,
~ ( iV16448 @ cC70 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[196]) ).
thf(59,axiom,
iV16465 @ ( iV16464 @ rR1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_188) ).
thf(490,plain,
iV16465 @ ( iV16464 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(136,axiom,
! [A: $i] :
( ( A @ ( iV16455 @ rR1 ) )
=> ~ ( A @ cC90 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_99) ).
thf(675,plain,
! [A: $i] :
( ( A @ ( iV16455 @ rR1 ) )
=> ~ ( A @ cC90 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(170,axiom,
iV16439 @ cowlThing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_63) ).
thf(776,plain,
iV16439 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[170]) ).
thf(152,axiom,
~ ( iV16440 @ cC102 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_69) ).
thf(712,plain,
~ ( iV16440 @ cC102 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[152]) ).
thf(124,axiom,
~ ( iV16455 @ cC40 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_98) ).
thf(640,plain,
~ ( iV16455 @ cC40 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(148,axiom,
~ ( iV16462 @ cC52 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_158) ).
thf(705,plain,
~ ( iV16462 @ cC52 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[148]) ).
thf(149,axiom,
! [A: $i] :
( ( A @ ( iV16464 @ rR1 ) )
=> ~ ( A @ cC52 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_186) ).
thf(707,plain,
! [A: $i] :
( ( A @ ( iV16464 @ rR1 ) )
=> ~ ( A @ cC52 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[149]) ).
thf(158,axiom,
iV16457 @ cTOP,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_113) ).
thf(739,plain,
iV16457 @ cTOP,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[158]) ).
thf(179,axiom,
iV16465 @ cowlThing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_198) ).
thf(791,plain,
iV16465 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[179]) ).
thf(198,axiom,
! [A: $i] :
( ( A @ ( iV16453 @ rR1 ) )
=> ( A @ cC56 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_93) ).
thf(840,plain,
! [A: $i] :
( ( A @ ( iV16453 @ rR1 ) )
=> ( A @ cC56 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[198]) ).
thf(52,axiom,
iV16442 @ cowlThing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_75) ).
thf(463,plain,
iV16442 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(186,axiom,
~ ( iV16448 @ cC52 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_81) ).
thf(808,plain,
~ ( iV16448 @ cC52 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[186]) ).
thf(126,axiom,
! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(643,plain,
! [A: $i] :
( ( ~ ( A @ xsd_integer )
=> ( A @ xsd_string ) )
& ( ( A @ xsd_string )
=> ~ ( A @ xsd_integer ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(1,conjecture,
( ( iV16465 @ cC38 )
& ( iV16465 @ cowlThing )
& ( iV16464 @ cC42 )
& ( iV16464 @ cC56 )
& ( iV16464 @ cowlThing )
& ( iV16464 @ cC44 )
& ( iV16463 @ cC60 )
& ( iV16463 @ cC76 )
& ( iV16463 @ cowlThing )
& ( iV16463 @ cC62 )
& ( iV16462 @ cC38 )
& ( iV16462 @ cowlThing )
& ( iV16461 @ cC42 )
& ( iV16461 @ cC56 )
& ( iV16461 @ cowlThing )
& ( iV16461 @ cC44 )
& ( iV16460 @ cC38 )
& ( iV16460 @ cowlThing )
& ( iV16459 @ cC34 )
& ( iV16459 @ cC50 )
& ( iV16459 @ cC88 )
& ( iV16459 @ cowlThing )
& ( iV16459 @ cC68 )
& ( iV16457 @ cC38 )
& ( iV16457 @ cowlThing )
& ( iV16455 @ cC42 )
& ( iV16455 @ cC56 )
& ( iV16455 @ cowlThing )
& ( iV16455 @ cC44 )
& ( iV16453 @ cC60 )
& ( iV16453 @ cC76 )
& ( iV16453 @ cowlThing )
& ( iV16453 @ cC62 )
& ( iV16448 @ cC38 )
& ( iV16448 @ cowlThing )
& ( iV16440 @ cC98 )
& ( iV16440 @ cC82 )
& ( iV16440 @ cowlThing )
& ( iV16440 @ cC80 )
& ( iV16439 @ cC104 )
& ( iV16439 @ cC108 )
& ( iV16439 @ cowlThing )
& ( iV16439 @ cC130 )
& ( iV16439 @ cC28 )
& ( iV16439 @ cC106 )
& ! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) )
& ! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
thf(2,negated_conjecture,
~ ( ( iV16465 @ cC38 )
& ( iV16465 @ cowlThing )
& ( iV16464 @ cC42 )
& ( iV16464 @ cC56 )
& ( iV16464 @ cowlThing )
& ( iV16464 @ cC44 )
& ( iV16463 @ cC60 )
& ( iV16463 @ cC76 )
& ( iV16463 @ cowlThing )
& ( iV16463 @ cC62 )
& ( iV16462 @ cC38 )
& ( iV16462 @ cowlThing )
& ( iV16461 @ cC42 )
& ( iV16461 @ cC56 )
& ( iV16461 @ cowlThing )
& ( iV16461 @ cC44 )
& ( iV16460 @ cC38 )
& ( iV16460 @ cowlThing )
& ( iV16459 @ cC34 )
& ( iV16459 @ cC50 )
& ( iV16459 @ cC88 )
& ( iV16459 @ cowlThing )
& ( iV16459 @ cC68 )
& ( iV16457 @ cC38 )
& ( iV16457 @ cowlThing )
& ( iV16455 @ cC42 )
& ( iV16455 @ cC56 )
& ( iV16455 @ cowlThing )
& ( iV16455 @ cC44 )
& ( iV16453 @ cC60 )
& ( iV16453 @ cC76 )
& ( iV16453 @ cowlThing )
& ( iV16453 @ cC62 )
& ( iV16448 @ cC38 )
& ( iV16448 @ cowlThing )
& ( iV16440 @ cC98 )
& ( iV16440 @ cC82 )
& ( iV16440 @ cowlThing )
& ( iV16440 @ cC80 )
& ( iV16439 @ cC104 )
& ( iV16439 @ cC108 )
& ( iV16439 @ cowlThing )
& ( iV16439 @ cC130 )
& ( iV16439 @ cC28 )
& ( iV16439 @ cC106 )
& ! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) )
& ! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(199,plain,
~ ( ( iV16465 @ cC38 )
& ( iV16465 @ cowlThing )
& ( iV16464 @ cC42 )
& ( iV16464 @ cC56 )
& ( iV16464 @ cowlThing )
& ( iV16464 @ cC44 )
& ( iV16463 @ cC60 )
& ( iV16463 @ cC76 )
& ( iV16463 @ cowlThing )
& ( iV16463 @ cC62 )
& ( iV16462 @ cC38 )
& ( iV16462 @ cowlThing )
& ( iV16461 @ cC42 )
& ( iV16461 @ cC56 )
& ( iV16461 @ cowlThing )
& ( iV16461 @ cC44 )
& ( iV16460 @ cC38 )
& ( iV16460 @ cowlThing )
& ( iV16459 @ cC34 )
& ( iV16459 @ cC50 )
& ( iV16459 @ cC88 )
& ( iV16459 @ cowlThing )
& ( iV16459 @ cC68 )
& ( iV16457 @ cC38 )
& ( iV16457 @ cowlThing )
& ( iV16455 @ cC42 )
& ( iV16455 @ cC56 )
& ( iV16455 @ cowlThing )
& ( iV16455 @ cC44 )
& ( iV16453 @ cC60 )
& ( iV16453 @ cC76 )
& ( iV16453 @ cowlThing )
& ( iV16453 @ cC62 )
& ( iV16448 @ cC38 )
& ( iV16448 @ cowlThing )
& ( iV16440 @ cC98 )
& ( iV16440 @ cC82 )
& ( iV16440 @ cowlThing )
& ( iV16440 @ cC80 )
& ( iV16439 @ cC104 )
& ( iV16439 @ cC108 )
& ( iV16439 @ cowlThing )
& ( iV16439 @ cC130 )
& ( iV16439 @ cC28 )
& ( iV16439 @ cC106 )
& ! [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(135,axiom,
! [A: $i] :
( ( A @ ( iV16453 @ rR1 ) )
=> ~ ( A @ cC72 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_89) ).
thf(673,plain,
! [A: $i] :
( ( A @ ( iV16453 @ rR1 ) )
=> ~ ( A @ cC72 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).
thf(161,axiom,
~ ( iV16453 @ cC58 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_91) ).
thf(744,plain,
~ ( iV16453 @ cC58 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[161]) ).
thf(147,axiom,
! [A: $i] :
( ( A @ ( iV16465 @ rR1 ) )
=> ( A @ cC50 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_197) ).
thf(703,plain,
! [A: $i] :
( ( A @ ( iV16465 @ rR1 ) )
=> ( A @ cC50 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[147]) ).
thf(131,axiom,
~ ( iV16457 @ cC8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_118) ).
thf(656,plain,
~ ( iV16457 @ cC8 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(106,axiom,
~ ( iV16439 @ cC100 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_62) ).
thf(600,plain,
~ ( iV16439 @ cC100 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(110,axiom,
! [A: $i] :
( ( A @ ( iV16462 @ rR1 ) )
=> ( A @ cC68 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_160) ).
thf(612,plain,
! [A: $i] :
( ( A @ ( iV16462 @ rR1 ) )
=> ( A @ cC68 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(63,axiom,
! [A: $i] :
( ( A @ ( iV16464 @ rR1 ) )
=> ~ ( A @ cC70 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_180) ).
thf(497,plain,
! [A: $i] :
( ( A @ ( iV16464 @ rR1 ) )
=> ~ ( A @ cC70 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(47,axiom,
iV16441 @ ( iV16439 @ rR1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_66) ).
thf(446,plain,
iV16441 @ ( iV16439 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(96,axiom,
! [A: $i] :
( ( A @ cC56 )
<=> ( ~ ( A @ cC54 )
& ( A @ cC44 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).
thf(571,plain,
! [A: $i] :
( ( ( ~ ( A @ cC54 )
& ( A @ cC44 ) )
=> ( A @ cC56 ) )
& ( ( A @ cC56 )
=> ( ~ ( A @ cC54 )
& ( A @ cC44 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(86,axiom,
~ ( iV16457 @ cC52 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_110) ).
thf(539,plain,
~ ( iV16457 @ cC52 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(62,axiom,
~ ( iV16464 @ cC40 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_179) ).
thf(495,plain,
~ ( iV16464 @ cC40 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(78,axiom,
! [A: $i] :
( ( A @ ( iV16455 @ rR1 ) )
=> ~ ( A @ cC52 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_101) ).
thf(524,plain,
! [A: $i] :
( ( A @ ( iV16455 @ rR1 ) )
=> ~ ( A @ cC52 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(99,axiom,
~ ( iV16459 @ cC46 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_124) ).
thf(581,plain,
~ ( iV16459 @ cC46 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(189,axiom,
! [A: $i] :
( ( A @ cC70 )
<=> ? [B: $i] :
( ~ ( B @ cC68 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_44) ).
thf(813,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)],[189]) ).
thf(74,axiom,
! [A: $i] :
( ( A @ ( iV16440 @ rR1 ) )
=> ~ ( A @ cC94 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_68) ).
thf(517,plain,
! [A: $i] :
( ( A @ ( iV16440 @ rR1 ) )
=> ~ ( A @ cC94 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(163,axiom,
iV16464 @ ( iV16463 @ rR1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_177) ).
thf(748,plain,
iV16464 @ ( iV16463 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[163]) ).
thf(17,axiom,
! [A: $i] :
( ( A @ cC72 )
<=> ? [B: $i] :
( ( B @ cC70 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_45) ).
thf(304,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC70 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC72 ) )
& ( ( A @ cC72 )
=> ? [B: $i] :
( ( B @ cC70 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(30,axiom,
iV16448 @ cowlThing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_84) ).
thf(390,plain,
iV16448 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(120,axiom,
! [A: $i] :
( ( A @ ( iV16462 @ rR1 ) )
=> ( A @ cC50 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_165) ).
thf(632,plain,
! [A: $i] :
( ( A @ ( iV16462 @ rR1 ) )
=> ( A @ cC50 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(174,axiom,
! [A: $i] :
( ( A @ ( iV16448 @ rR1 ) )
=> ( A @ cC88 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_85) ).
thf(781,plain,
! [A: $i] :
( ( A @ ( iV16448 @ rR1 ) )
=> ( A @ cC88 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[174]) ).
thf(15,axiom,
! [A: $i] :
( ( A @ cC66 )
<=> ( ~ ( A @ cC12 )
& ~ ( A @ cC8 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_42) ).
thf(290,plain,
! [A: $i] :
( ( ( ~ ( A @ cC12 )
& ~ ( A @ cC8 ) )
=> ( A @ cC66 ) )
& ( ( A @ cC66 )
=> ( ~ ( A @ cC12 )
& ~ ( A @ cC8 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(23,axiom,
! [A: $i] :
( ( A @ cC94 )
<=> ? [B: $i] :
( ( B @ cC92 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_56) ).
thf(346,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC92 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC94 ) )
& ( ( A @ cC94 )
=> ? [B: $i] :
( ( B @ cC92 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(84,axiom,
iV16449 @ ( iV16448 @ rR1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_86) ).
thf(536,plain,
iV16449 @ ( iV16448 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(154,axiom,
! [A: $i] :
( ( A @ ( iV16455 @ rR1 ) )
=> ~ ( A @ cC70 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_100) ).
thf(716,plain,
! [A: $i] :
( ( A @ ( iV16455 @ rR1 ) )
=> ~ ( A @ cC70 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[154]) ).
thf(194,axiom,
! [A: $i] :
( ( A @ ( iV16448 @ rR1 ) )
=> ( A @ cC34 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_78) ).
thf(832,plain,
! [A: $i] :
( ( A @ ( iV16448 @ rR1 ) )
=> ( A @ cC34 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[194]) ).
thf(141,axiom,
iV16457 @ cowlThing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_117) ).
thf(684,plain,
iV16457 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).
thf(114,axiom,
~ ( iV16459 @ cC14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_125) ).
thf(620,plain,
~ ( iV16459 @ cC14 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(48,axiom,
iV16461 @ ( iV16453 @ rR1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_96) ).
thf(447,plain,
iV16461 @ ( iV16453 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(11,axiom,
! [A: $i] :
( ( A @ cC64 )
<=> ( ( A @ cC12 )
& ( A @ cC8 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_41) ).
thf(262,plain,
! [A: $i] :
( ( ( ( A @ cC12 )
& ( A @ cC8 ) )
=> ( A @ cC64 ) )
& ( ( A @ cC64 )
=> ( ( A @ cC12 )
& ( A @ cC8 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(33,axiom,
! [A: $i] :
( ( A @ cC42 )
<=> ? [B: $i] :
( ~ ( B @ cC8 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).
thf(405,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC8 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC42 ) )
& ( ( A @ cC42 )
=> ? [B: $i] :
( ~ ( B @ cC8 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(182,axiom,
~ ( iV16460 @ cC90 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_136) ).
thf(801,plain,
~ ( iV16460 @ cC90 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[182]) ).
thf(192,axiom,
! [A: $i] :
( ( A @ ( iV16439 @ rR1 ) )
=> ( A @ cC98 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_60) ).
thf(828,plain,
! [A: $i] :
( ( A @ ( iV16439 @ rR1 ) )
=> ( A @ cC98 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[192]) ).
thf(82,axiom,
~ ( iV16462 @ cC36 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_161) ).
thf(532,plain,
~ ( iV16462 @ cC36 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(14,axiom,
! [A: $i] :
( ( A @ cC30 )
<=> ( ( A @ cC2 )
& ( A @ cC4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_23) ).
thf(283,plain,
! [A: $i] :
( ( ( ( A @ cC2 )
& ( A @ cC4 ) )
=> ( A @ cC30 ) )
& ( ( A @ cC30 )
=> ( ( A @ cC2 )
& ( A @ cC4 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(56,axiom,
! [A: $i] :
( ( A @ cC104 )
<=> ? [B: $i] :
( ~ ( B @ cC102 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(474,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC102 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC104 ) )
& ( ( A @ cC104 )
=> ? [B: $i] :
( ~ ( B @ cC102 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(168,axiom,
! [A: $i] :
( ( A @ ( iV16461 @ rR1 ) )
=> ~ ( A @ cC52 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_148) ).
thf(767,plain,
! [A: $i] :
( ( A @ ( iV16461 @ rR1 ) )
=> ~ ( A @ cC52 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[168]) ).
thf(116,axiom,
~ ( iV16462 @ cC8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_159) ).
thf(624,plain,
~ ( iV16462 @ cC8 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(159,axiom,
~ ( iV16461 @ cC54 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_152) ).
thf(740,plain,
~ ( iV16461 @ cC54 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[159]) ).
thf(53,axiom,
! [A: $i] :
( ( A @ cC68 )
<=> ( ~ ( A @ cC66 )
& ~ ( A @ cC64 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_43) ).
thf(464,plain,
! [A: $i] :
( ( ( ~ ( A @ cC66 )
& ~ ( A @ cC64 ) )
=> ( A @ cC68 ) )
& ( ( A @ cC68 )
=> ( ~ ( A @ cC66 )
& ~ ( A @ cC64 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(21,axiom,
! [A: $i] :
( ( A @ cC18 )
<=> ( ( A @ cC16 )
& ( A @ cC14 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
thf(332,plain,
! [A: $i] :
( ( ( ( A @ cC16 )
& ( A @ cC14 ) )
=> ( A @ cC18 ) )
& ( ( A @ cC18 )
=> ( ( A @ cC16 )
& ( A @ cC14 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(39,axiom,
~ ( iV16453 @ cC74 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_92) ).
thf(427,plain,
~ ( iV16453 @ cC74 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(104,axiom,
~ ( iV16459 @ cC30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_121) ).
thf(596,plain,
~ ( iV16459 @ cC30 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(80,axiom,
! [A: $i] :
( ( A @ ( iV16457 @ rR1 ) )
=> ( A @ cC34 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_112) ).
thf(528,plain,
! [A: $i] :
( ( A @ ( iV16457 @ rR1 ) )
=> ( A @ cC34 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(45,axiom,
~ ( iV16464 @ cC12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_183) ).
thf(442,plain,
~ ( iV16464 @ cC12 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(65,axiom,
~ ( iV16461 @ cC72 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_156) ).
thf(501,plain,
~ ( iV16461 @ cC72 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(6,axiom,
! [A: $i] :
( ( A @ cC48 )
<=> ( ~ ( A @ cC4 )
& ~ ( A @ cC8 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_32) ).
thf(227,plain,
! [A: $i] :
( ( ( ~ ( A @ cC4 )
& ~ ( A @ cC8 ) )
=> ( A @ cC48 ) )
& ( ( A @ cC48 )
=> ( ~ ( A @ cC4 )
& ~ ( A @ cC8 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(183,axiom,
~ ( iV16457 @ cC36 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_108) ).
thf(803,plain,
~ ( iV16457 @ cC36 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[183]) ).
thf(93,axiom,
! [A: $i] :
( ( A @ ( iV16457 @ rR1 ) )
=> ( A @ cC88 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_109) ).
thf(560,plain,
! [A: $i] :
( ( A @ ( iV16457 @ rR1 ) )
=> ( A @ cC88 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(60,axiom,
~ ( iV16440 @ cC78 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_70) ).
thf(491,plain,
~ ( iV16440 @ cC78 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(102,axiom,
! [A: $i] :
( ( A @ ( iV16440 @ rR1 ) )
=> ( A @ cC76 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_67) ).
thf(592,plain,
! [A: $i] :
( ( A @ ( iV16440 @ rR1 ) )
=> ( A @ cC76 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(916,plain,
$false,
inference(e,[status(thm)],[628,234,777,481,276,449,440,511,614,269,677,550,472,698,709,651,785,838,638,421,325,448,756,789,834,514,806,353,602,634,692,507,206,248,439,678,810,381,220,534,714,746,598,820,297,630,429,665,493,682,551,710,456,583,522,830,725,388,783,499,519,742,578,471,488,339,537,642,526,590,622,701,654,569,779,503,792,360,805,311,541,765,398,530,794,718,412,618,425,513,444,562,423,732,579,391,672,611,787,419,318,616,509,649,758,609,594,213,626,769,367,552,700,520,685,827,636,780,431,658,505,438,241,653,680,548,374,255,812,749,516,553,836,490,675,776,712,640,705,707,739,791,840,463,808,643,199,673,744,703,656,600,612,497,446,571,539,495,524,581,813,517,748,304,390,632,781,290,346,536,716,832,684,620,447,262,405,801,828,532,283,474,767,624,740,464,332,427,596,528,442,501,227,803,560,491,592]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS153+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.09 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.16/0.41 % Computer : n008.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Fri Sep 25 19:42:27 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.86/1.01 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.33/1.29 % [INFO] Parsing done (278ms).
% 1.68/1.31 % [INFO] Running in sequential loop mode.
% 2.35/1.70 % [INFO] eprover registered as external prover.
% 2.35/1.71 % [INFO] Scanning for conjecture ...
% 2.54/1.88 % [INFO] Found a conjecture (or negated_conjecture) and 200 axioms. Running axiom selection ...
% 3.10/2.04 % [INFO] Axiom selection finished. Selected 196 axioms (removed 4 axioms).
% 3.39/2.13 % [INFO] Problem is first-order (TPTP FOF).
% 3.39/2.15 % [INFO] Type checking passed.
% 3.39/2.16 % [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 ...
% 9.02/4.00 % External prover 'e' found a proof!
% 9.02/4.01 % [INFO] Killing All external provers ...
% 9.02/4.01 % Time passed: 3442ms (effective reasoning time: 2693ms)
% 9.02/4.01 % 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)>
% 9.02/4.01 % Axioms used in derivation (196): axiom_7, axiom_26, axiom_55, axiom_136, axiom_108, axiom_88, axiom_114, axiom_119, axiom_174, axiom_33, axiom_181, axiom_40, axiom_22, axiom_152, axiom_163, axiom_59, axiom_125, axiom_77, axiom_185, axiom_44, axiom_49, axiom_198, axiom_168, axiom_15, axiom_95, axiom_191, axiom_121, axiom_179, axiom_73, axiom_67, axiom_141, axiom_130, axiom_69, axiom_51, axiom_21, axiom_157, axiom_195, axiom_19, axiom_99, axiom_84, axiom_63, axiom_110, axiom_103, axiom_147, axiom_38, axiom_146, axiom_170, 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_32, axiom_6, axiom_91, axiom_169, axiom_60, axiom_144, axiom_118, axiom_132, axiom_126, axiom_155, axiom_78, axiom_187, axiom_54, axiom_92, axiom_196, axiom_133, axiom_100, axiom_148, axiom_64, axiom_16, axiom_159, axiom_50, axiom_176, axiom_122, axiom_81, axiom_74, axiom_111, axiom_3, axiom_96, axiom_140, axiom_192, axiom_68, axiom_46, axiom_154, axiom_104, axiom_20, axiom_85, axiom_165, axiom_70, axiom_115, axiom_156, axiom_145, axiom_42, axiom_31, axiom_24, axiom_90, axiom_1, axiom_57, axiom_138, axiom_127, axiom_116, axiom_61, axiom_105, axiom_35, axiom_28, axiom_150, axiom_53, axiom_197, axiom_167, axiom_189, axiom_101, axiom_112, axiom_65, axiom_36, axiom_39, axiom_80, axiom_71, axiom_8, axiom_97, axiom_17, axiom_161, axiom_193, axiom_86, axiom_149, axiom_75, axiom_183, axiom_172, axiom_5, axiom_47, 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_25, axiom_76, axiom_164, axiom_52, axiom_34, axiom_182, axiom_139, axiom_194, axiom_153, axiom_0, axiom_58, axiom_62, axiom_45, axiom_199, axiom_117, axiom_160, axiom_56, axiom_175, axiom_29, axiom_23, axiom_106, axiom_30, axiom_186, axiom_18, axiom_87, axiom_131, axiom_113, 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_66, axiom_37, axiom_135, axiom_94
% 9.02/4.01 % No. of inferences in proof: 396
% 9.02/4.01 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3442 ms resp. 2693 ms w/o parsing
% 9.89/4.17 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.89/4.18 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------