%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : KRS155+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 : n018.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 10.27s 4.47s
% Output : Refutation 11.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 112
% Syntax : Number of formulae : 226 ( 69 unt; 0 typ; 0 def)
% Number of atoms : 708 ( 0 equ; 0 cnn)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 1455 ( 59 ~; 0 |; 253 &; 914 @)
% ( 75 <=>; 154 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 94 ( 93 usr; 11 con; 0-2 aty)
% Number of variables : 343 ( 0 ^; 160 !; 183 ?; 343 :)
% 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(cC20_decl,type,
cC20: $i > $o ).
thf(iV8467_decl,type,
iV8467: $i ).
thf(cC4_decl,type,
cC4: $i > $o ).
thf(cC8_decl,type,
cC8: $i > $o ).
thf(cC82_decl,type,
cC82: $i > $o ).
thf(cC62_decl,type,
cC62: $i > $o ).
thf(cC14_decl,type,
cC14: $i > $o ).
thf(cC34_decl,type,
cC34: $i > $o ).
thf(cC10_decl,type,
cC10: $i > $o ).
thf(cC48_decl,type,
cC48: $i > $o ).
thf(iV8471_decl,type,
iV8471: $i ).
thf(cC80_decl,type,
cC80: $i > $o ).
thf(cC58_decl,type,
cC58: $i > $o ).
thf(iV8472_decl,type,
iV8472: $i ).
thf(cC60_decl,type,
cC60: $i > $o ).
thf(cC92_decl,type,
cC92: $i > $o ).
thf(cC82xcomp_decl,type,
cC82xcomp: $i > $o ).
thf(cC90_decl,type,
cC90: $i > $o ).
thf(cC26_decl,type,
cC26: $i > $o ).
thf(cC24_decl,type,
cC24: $i > $o ).
thf(cC20xcomp_decl,type,
cC20xcomp: $i > $o ).
thf(cC42_decl,type,
cC42: $i > $o ).
thf(ra_Px31_decl,type,
ra_Px31: $i > $i > $o ).
thf(cC6_decl,type,
cC6: $i > $o ).
thf(ra_Px28_decl,type,
ra_Px28: $i > $i > $o ).
thf(cC32_decl,type,
cC32: $i > $o ).
thf(ra_Px7_decl,type,
ra_Px7: $i > $i > $o ).
thf(ra_Px34_decl,type,
ra_Px34: $i > $i > $o ).
thf(ra_Px30_decl,type,
ra_Px30: $i > $i > $o ).
thf(cC72_decl,type,
cC72: $i > $o ).
thf(cC62xcomp_decl,type,
cC62xcomp: $i > $o ).
thf(cC70_decl,type,
cC70: $i > $o ).
thf(cC40_decl,type,
cC40: $i > $o ).
thf(cC34xcomp_decl,type,
cC34xcomp: $i > $o ).
thf(cC78_decl,type,
cC78: $i > $o ).
thf(ra_Px20_decl,type,
ra_Px20: $i > $i > $o ).
thf(cC52_decl,type,
cC52: $i > $o ).
thf(ra_Px32_decl,type,
ra_Px32: $i > $i > $o ).
thf(ra_Px33_decl,type,
ra_Px33: $i > $i > $o ).
thf(cC50xcomp_decl,type,
cC50xcomp: $i > $o ).
thf(cC48xcomp_decl,type,
cC48xcomp: $i > $o ).
thf(cC52xcomp_decl,type,
cC52xcomp: $i > $o ).
thf(cC6xcomp_decl,type,
cC6xcomp: $i > $o ).
thf(rR1_decl,type,
rR1: $i > $i > $o ).
thf(cC38_decl,type,
cC38: $i > $o ).
thf(cC2_decl,type,
cC2: $i > $o ).
thf(cC78xcomp_decl,type,
cC78xcomp: $i > $o ).
thf(cC66_decl,type,
cC66: $i > $o ).
thf(cC2xcomp_decl,type,
cC2xcomp: $i > $o ).
thf(cC64_decl,type,
cC64: $i > $o ).
thf(ra_Px17_decl,type,
ra_Px17: $i > $i > $o ).
thf(iV8476_decl,type,
iV8476: $i ).
thf(cC94_decl,type,
cC94: $i > $o ).
thf(cC68_decl,type,
cC68: $i > $o ).
thf(cC32xcomp_decl,type,
cC32xcomp: $i > $o ).
thf(iV8475_decl,type,
iV8475: $i ).
thf(ra_Px9_decl,type,
ra_Px9: $i > $i > $o ).
thf(iV8468_decl,type,
iV8468: $i ).
thf(cC16_decl,type,
cC16: $i > $o ).
thf(cC14xcomp_decl,type,
cC14xcomp: $i > $o ).
thf(cC88_decl,type,
cC88: $i > $o ).
thf(cC86_decl,type,
cC86: $i > $o ).
thf(cC36xcomp_decl,type,
cC36xcomp: $i > $o ).
thf(cC26xcomp_decl,type,
cC26xcomp: $i > $o ).
thf(cC84xcomp_decl,type,
cC84xcomp: $i > $o ).
thf(iV8474_decl,type,
iV8474: $i ).
thf(iV8473_decl,type,
iV8473: $i ).
thf(cC44_decl,type,
cC44: $i > $o ).
thf(cC36_decl,type,
cC36: $i > $o ).
thf(iV8469_decl,type,
iV8469: $i ).
thf(ra_Px5_decl,type,
ra_Px5: $i > $i > $o ).
thf(cC54_decl,type,
cC54: $i > $o ).
thf(ra_Px12_decl,type,
ra_Px12: $i > $i > $o ).
thf(cTOP_decl,type,
cTOP: $i > $o ).
thf(iV8470_decl,type,
iV8470: $i ).
thf(cC72xcomp_decl,type,
cC72xcomp: $i > $o ).
thf(ra_Px3_decl,type,
ra_Px3: $i > $i > $o ).
thf(ra_Px25_decl,type,
ra_Px25: $i > $i > $o ).
thf(ra_Px1_decl,type,
ra_Px1: $i > $i > $o ).
thf(cC22_decl,type,
cC22: $i > $o ).
thf(cC42xcomp_decl,type,
cC42xcomp: $i > $o ).
thf(cC18_decl,type,
cC18: $i > $o ).
thf(cC16xcomp_decl,type,
cC16xcomp: $i > $o ).
thf(cC12_decl,type,
cC12: $i > $o ).
thf(cC50_decl,type,
cC50: $i > $o ).
thf(cC74_decl,type,
cC74: $i > $o ).
thf(cC92xcomp_decl,type,
cC92xcomp: $i > $o ).
thf(cC84_decl,type,
cC84: $i > $o ).
thf(cC28_decl,type,
cC28: $i > $o ).
thf(93,axiom,
iV8468 @ cowlThing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_112) ).
thf(569,plain,
iV8468 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(71,axiom,
iV8475 @ ( iV8467 @ rR1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_109) ).
thf(497,plain,
iV8475 @ ( iV8467 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(28,axiom,
iV8475 @ cC2xcomp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_130) ).
thf(277,plain,
iV8475 @ cC2xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(65,axiom,
! [A: $i] :
( ( A @ cC8 )
<=> ? [B: $i] :
( ( B @ cC6xcomp )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_79) ).
thf(479,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC6xcomp )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC8 ) )
& ( ( A @ cC8 )
=> ? [B: $i] :
( ( B @ cC6xcomp )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(23,axiom,
iV8476 @ cC2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_132) ).
thf(249,plain,
iV8476 @ cC2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(49,axiom,
! [A: $i] :
( ( A @ cC72xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px33 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_71) ).
thf(379,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px33 ) )
=> ( A @ cC72xcomp ) )
& ( ( A @ cC72xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px33 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(75,axiom,
iV8468 @ ( iV8467 @ rR1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_107) ).
thf(511,plain,
iV8468 @ ( iV8467 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(50,axiom,
! [A: $i] :
( ( A @ cC2 )
<=> ? [B: $i] : ( B @ ( A @ ra_Px3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
thf(385,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px3 ) )
=> ( A @ cC2 ) )
& ( ( A @ cC2 )
=> ? [B: $i] : ( B @ ( A @ ra_Px3 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(89,axiom,
iV8474 @ cowlThing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_128) ).
thf(550,plain,
iV8474 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(64,axiom,
! [A: $i] :
( ( A @ cC28 )
<=> ? [B: $i] :
( ( B @ cC26 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).
thf(472,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)],[64]) ).
thf(8,axiom,
! [A: $i] :
( ( A @ cC92 )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px34 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_91) ).
thf(153,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px34 ) )
=> ( A @ cC92 ) )
& ( ( A @ cC92 )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px34 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(13,axiom,
! [A: $i] :
( ( A @ cC52 )
<=> ? [B: $i] : ( B @ ( A @ ra_Px32 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_50) ).
thf(185,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px32 ) )
=> ( A @ cC52 ) )
& ( ( A @ cC52 )
=> ? [B: $i] : ( B @ ( A @ ra_Px32 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(37,axiom,
! [A: $i] :
( ( A @ cC90 )
<=> ? [B: $i] :
( ( B @ cC88 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_89) ).
thf(320,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)],[37]) ).
thf(25,axiom,
! [A: $i] :
( ( A @ cC70 )
<=> ? [B: $i] :
( ( B @ cC68 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_68) ).
thf(257,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)],[25]) ).
thf(94,axiom,
! [A: $i] :
( ( A @ cC34 )
<=> ? [B: $i] : ( B @ ( A @ ra_Px9 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
thf(570,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px9 ) )
=> ( A @ cC34 ) )
& ( ( A @ cC34 )
=> ? [B: $i] : ( B @ ( A @ ra_Px9 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(73,axiom,
iV8471 @ ( iV8467 @ rR1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_103) ).
thf(504,plain,
iV8471 @ ( iV8467 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(82,axiom,
iV8467 @ cC92xcomp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_99) ).
thf(542,plain,
iV8467 @ cC92xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(111,axiom,
iV8470 @ ( iV8467 @ rR1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_104) ).
thf(638,plain,
iV8470 @ ( iV8467 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(30,axiom,
iV8468 @ cC2xcomp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_111) ).
thf(284,plain,
iV8468 @ cC2xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(55,axiom,
! [A: $i] :
( ( A @ cC18 )
<=> ( ( A @ cC12 )
& ( A @ cC16xcomp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
thf(416,plain,
! [A: $i] :
( ( ( ( A @ cC12 )
& ( A @ cC16xcomp ) )
=> ( A @ cC18 ) )
& ( ( A @ cC18 )
=> ( ( A @ cC12 )
& ( A @ cC16xcomp ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(18,axiom,
! [A: $i] :
( ( A @ cC40 )
<=> ? [B: $i] :
( ( B @ cC38 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).
thf(216,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)],[18]) ).
thf(12,axiom,
! [A: $i] :
( ( A @ cC78 )
<=> ? [B: $i] : ( B @ ( A @ ra_Px20 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_77) ).
thf(179,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px20 ) )
=> ( A @ cC78 ) )
& ( ( A @ cC78 )
=> ? [B: $i] : ( B @ ( A @ ra_Px20 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(98,axiom,
iV8472 @ cowlThing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_123) ).
thf(591,plain,
iV8472 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(59,axiom,
! [A: $i] :
( ( A @ ( iV8474 @ rR1 ) )
=> ( A @ cC2xcomp ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_129) ).
thf(443,plain,
! [A: $i] :
( ( A @ ( iV8474 @ rR1 ) )
=> ( A @ cC2xcomp ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(47,axiom,
! [A: $i] :
( ( A @ ( iV8469 @ rR1 ) )
=> ( A @ cC2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_115) ).
thf(376,plain,
! [A: $i] :
( ( A @ ( iV8469 @ rR1 ) )
=> ( A @ cC2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(107,axiom,
! [A: $i] :
( ( A @ cC82 )
<=> ? [B: $i] :
( ( B @ cC80 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_82) ).
thf(623,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC80 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC82 ) )
& ( ( A @ cC82 )
=> ? [B: $i] :
( ( B @ cC80 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(3,axiom,
! [A: $i] :
( ( A @ cC92 )
<=> ( ( A @ cC90 )
& ( A @ cC82xcomp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_90) ).
thf(121,plain,
! [A: $i] :
( ( ( ( A @ cC90 )
& ( A @ cC82xcomp ) )
=> ( A @ cC92 ) )
& ( ( A @ cC92 )
=> ( ( A @ cC90 )
& ( A @ cC82xcomp ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(103,axiom,
iV8476 @ ( iV8472 @ rR1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_124) ).
thf(602,plain,
iV8476 @ ( iV8472 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(7,axiom,
! [A: $i] :
( ( A @ cC32 )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px7 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).
thf(147,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px7 ) )
=> ( A @ cC32 ) )
& ( ( A @ cC32 )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px7 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(52,axiom,
! [A: $i] :
( ( A @ cC14xcomp )
<=> ? [B: $i] : ( B @ ( A @ ra_Px1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
thf(397,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px1 ) )
=> ( A @ cC14xcomp ) )
& ( ( A @ cC14xcomp )
=> ? [B: $i] : ( B @ ( A @ ra_Px1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(22,axiom,
! [A: $i] :
( ( A @ cC62xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px17 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_64) ).
thf(243,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px17 ) )
=> ( A @ cC62xcomp ) )
& ( ( A @ cC62xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px17 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(79,axiom,
! [A: $i] :
( ( A @ cC80 )
<=> ( ( A @ cC2xcomp )
& ( A @ cC78xcomp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_80) ).
thf(527,plain,
! [A: $i] :
( ( ( ( A @ cC2xcomp )
& ( A @ cC78xcomp ) )
=> ( A @ cC80 ) )
& ( ( A @ cC80 )
=> ( ( A @ cC2xcomp )
& ( A @ cC78xcomp ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(35,axiom,
! [A: $i] :
( ( A @ cC86 )
<=> ( ( A @ cC2xcomp )
& ( A @ cC84xcomp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_87) ).
thf(312,plain,
! [A: $i] :
( ( ( ( A @ cC2xcomp )
& ( A @ cC84xcomp ) )
=> ( A @ cC86 ) )
& ( ( A @ cC86 )
=> ( ( A @ cC2xcomp )
& ( A @ cC84xcomp ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(32,axiom,
! [A: $i] :
( ( A @ cC88 )
<=> ? [B: $i] :
( ( B @ cC86 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_88) ).
thf(292,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC86 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC88 ) )
& ( ( A @ cC88 )
=> ? [B: $i] :
( ( B @ cC86 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(61,axiom,
! [A: $i] :
( ( A @ cC92xcomp )
<=> ? [B: $i] : ( B @ ( A @ ra_Px34 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_92) ).
thf(452,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px34 ) )
=> ( A @ cC92xcomp ) )
& ( ( A @ cC92xcomp )
=> ? [B: $i] : ( B @ ( A @ ra_Px34 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(76,axiom,
iV8474 @ ( iV8467 @ rR1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_106) ).
thf(512,plain,
iV8474 @ ( iV8467 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(85,axiom,
iV8469 @ ( iV8467 @ rR1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_105) ).
thf(546,plain,
iV8469 @ ( iV8467 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(80,axiom,
! [A: $i] :
( ( A @ cC20 )
<=> ? [B: $i] :
( ( B @ cC2xcomp )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
thf(534,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC2xcomp )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC20 ) )
& ( ( A @ cC20 )
=> ? [B: $i] :
( ( B @ cC2xcomp )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(42,axiom,
iV8469 @ cC6xcomp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_113) ).
thf(349,plain,
iV8469 @ cC6xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(108,axiom,
iV8469 @ cowlThing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_114) ).
thf(630,plain,
iV8469 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(10,axiom,
! [A: $i] :
( ( A @ cC72 )
<=> ( ( A @ cC70 )
& ( A @ cC62xcomp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_69) ).
thf(165,plain,
! [A: $i] :
( ( ( ( A @ cC70 )
& ( A @ cC62xcomp ) )
=> ( A @ cC72 ) )
& ( ( A @ cC72 )
=> ( ( A @ cC70 )
& ( A @ cC62xcomp ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(15,axiom,
! [A: $i] :
( ( A @ cC52 )
<=> ( ( A @ cC48xcomp )
& ( A @ cC50xcomp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_51) ).
thf(197,plain,
! [A: $i] :
( ( ( ( A @ cC48xcomp )
& ( A @ cC50xcomp ) )
=> ( A @ cC52 ) )
& ( ( A @ cC52 )
=> ( ( A @ cC48xcomp )
& ( A @ cC50xcomp ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(90,axiom,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(551,plain,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(31,axiom,
! [A: $i] :
( ( A @ cC16 )
<=> ? [B: $i] :
( ( B @ cC14xcomp )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
thf(285,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC14xcomp )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC16 ) )
& ( ( A @ cC16 )
=> ? [B: $i] :
( ( B @ cC14xcomp )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(53,axiom,
! [A: $i] :
( ( A @ cC22 )
<=> ? [B: $i] :
( ( B @ cC2xcomp )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
thf(403,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC2xcomp )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC22 ) )
& ( ( A @ cC22 )
=> ? [B: $i] :
( ( B @ cC2xcomp )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(44,axiom,
! [A: $i] :
( ( A @ cC54 )
<=> ? [B: $i] :
( ( B @ cC52 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_53) ).
thf(356,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)],[44]) ).
thf(100,axiom,
iV8475 @ cowlThing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_131) ).
thf(593,plain,
iV8475 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(6,axiom,
! [A: $i] :
( ( A @ cC6 )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px28 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_58) ).
thf(141,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px28 ) )
=> ( A @ cC6 ) )
& ( ( A @ cC6 )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px28 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(105,axiom,
! [A: $i] :
( ( A @ cC60 )
<=> ( ( A @ cC58 )
& ( A @ cC2xcomp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).
thf(610,plain,
! [A: $i] :
( ( ( ( A @ cC58 )
& ( A @ cC2xcomp ) )
=> ( A @ cC60 ) )
& ( ( A @ cC60 )
=> ( ( A @ cC58 )
& ( A @ cC2xcomp ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(39,axiom,
! [A: $i] :
( ( A @ cC64 )
<=> ? [B: $i] :
( ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_65) ).
thf(328,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC64 ) )
& ( ( A @ cC64 )
=> ? [B: $i] :
( ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(68,axiom,
iV8467 @ cowlThing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_102) ).
thf(488,plain,
iV8467 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(69,axiom,
! [A: $i] :
( ( A @ cC10 )
<=> ( ( A @ cC8 )
& ( A @ cC4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(489,plain,
! [A: $i] :
( ( ( ( A @ cC8 )
& ( A @ cC4 ) )
=> ( A @ cC10 ) )
& ( ( A @ cC10 )
=> ( ( A @ cC8 )
& ( A @ cC4 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(86,axiom,
iV8472 @ ( iV8467 @ rR1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_110) ).
thf(547,plain,
iV8472 @ ( iV8467 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(4,axiom,
! [A: $i] :
( ( A @ cC26 )
<=> ( ( A @ cC20xcomp )
& ( A @ cC24 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
thf(128,plain,
! [A: $i] :
( ( ( ( A @ cC20xcomp )
& ( A @ cC24 ) )
=> ( A @ cC26 ) )
& ( ( A @ cC26 )
=> ( ( A @ cC20xcomp )
& ( A @ cC24 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(81,axiom,
iV8473 @ ( iV8467 @ rR1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_108) ).
thf(541,plain,
iV8473 @ ( iV8467 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(26,axiom,
! [A: $i] :
( ( A @ cC78 )
<=> ? [B: $i] :
( ( B @ cC2xcomp )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_76) ).
thf(264,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC2xcomp )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC78 ) )
& ( ( A @ cC78 )
=> ? [B: $i] :
( ( B @ cC2xcomp )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(102,axiom,
iV8471 @ cC78xcomp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_118) ).
thf(601,plain,
iV8471 @ cC78xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(77,axiom,
! [A: $i] :
( ( A @ cC48 )
<=> ? [B: $i] :
( ( B @ cC2xcomp )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_44) ).
thf(513,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC2xcomp )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC48 ) )
& ( ( A @ cC48 )
=> ? [B: $i] :
( ( B @ cC2xcomp )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(57,axiom,
! [A: $i] :
( ( A @ cC68 )
<=> ? [B: $i] :
( ( B @ cC66 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_67) ).
thf(430,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC66 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC68 ) )
& ( ( A @ cC68 )
=> ? [B: $i] :
( ( B @ cC66 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(97,axiom,
! [A: $i] :
( ( A @ cC34 )
<=> ? [B: $i] :
( ( B @ cC32xcomp )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).
thf(584,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC32xcomp )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC34 ) )
& ( ( A @ cC34 )
=> ? [B: $i] :
( ( B @ cC32xcomp )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(56,axiom,
! [A: $i] :
( ( A @ cC50 )
<=> ? [B: $i] :
( ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_48) ).
thf(423,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC50 ) )
& ( ( A @ cC50 )
=> ? [B: $i] :
( ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(14,axiom,
! [A: $i] :
( ( A @ cC72 )
<=> ? [B: $i] : ( B @ ( A @ ra_Px33 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_70) ).
thf(191,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px33 ) )
=> ( A @ cC72 ) )
& ( ( A @ cC72 )
=> ? [B: $i] : ( B @ ( A @ ra_Px33 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(96,axiom,
! [A: $i] :
( ( A @ cC62 )
<=> ? [B: $i] :
( ( B @ cC60 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_62) ).
thf(577,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC60 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC62 ) )
& ( ( A @ cC62 )
=> ? [B: $i] :
( ( B @ cC60 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(16,axiom,
! [A: $i] :
( ( A @ cC52xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px32 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_52) ).
thf(204,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px32 ) )
=> ( A @ cC52xcomp ) )
& ( ( A @ cC52xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px32 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(84,axiom,
iV8467 @ cC42xcomp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_100) ).
thf(545,plain,
iV8467 @ cC42xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(51,axiom,
! [A: $i] :
( ( A @ cC82xcomp )
<=> ? [B: $i] : ( B @ ( A @ ra_Px25 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_83) ).
thf(391,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px25 ) )
=> ( A @ cC82xcomp ) )
& ( ( A @ cC82xcomp )
=> ? [B: $i] : ( B @ ( A @ ra_Px25 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(60,axiom,
! [A: $i] :
( ( A @ cC74 )
<=> ? [B: $i] :
( ( B @ cC72 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_72) ).
thf(445,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)],[60]) ).
thf(72,axiom,
! [A: $i] :
( ( A @ cC48 )
<=> ? [B: $i] : ( B @ ( A @ ra_Px12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_45) ).
thf(498,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px12 ) )
=> ( A @ cC48 ) )
& ( ( A @ cC48 )
=> ? [B: $i] : ( B @ ( A @ ra_Px12 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(40,axiom,
! [A: $i] :
( ( A @ cC44 )
<=> ? [B: $i] :
( ( B @ cC42 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_41) ).
thf(335,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC42 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC44 ) )
& ( ( A @ cC44 )
=> ? [B: $i] :
( ( B @ cC42 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(21,axiom,
! [A: $i] :
( ( A @ cC66 )
<=> ( ( A @ cC64 )
& ( A @ cC2xcomp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_66) ).
thf(236,plain,
! [A: $i] :
( ( ( ( A @ cC64 )
& ( A @ cC2xcomp ) )
=> ( A @ cC66 ) )
& ( ( A @ cC66 )
=> ( ( A @ cC64 )
& ( A @ cC2xcomp ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(43,axiom,
! [A: $i] :
( ( A @ cC20xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
thf(350,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px5 ) )
=> ( A @ cC20xcomp ) )
& ( ( A @ cC20xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px5 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(9,axiom,
! [A: $i] :
( ( A @ cC26 )
<=> ? [B: $i] : ( B @ ( A @ ra_Px30 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
thf(159,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px30 ) )
=> ( A @ cC26 ) )
& ( ( A @ cC26 )
=> ? [B: $i] : ( B @ ( A @ ra_Px30 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(11,axiom,
! [A: $i] :
( ( A @ cC42 )
<=> ( ( A @ cC34xcomp )
& ( A @ cC40 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_38) ).
thf(172,plain,
! [A: $i] :
( ( ( ( A @ cC34xcomp )
& ( A @ cC40 ) )
=> ( A @ cC42 ) )
& ( ( A @ cC42 )
=> ( ( A @ cC34xcomp )
& ( A @ cC40 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(20,axiom,
! [A: $i] :
( ( A @ cC78xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px20 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_78) ).
thf(230,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px20 ) )
=> ( A @ cC78xcomp ) )
& ( ( A @ cC78xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px20 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(27,axiom,
! [A: $i] :
( ( A @ cC32xcomp )
<=> ? [B: $i] : ( B @ ( A @ ra_Px7 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).
thf(271,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px7 ) )
=> ( A @ cC32xcomp ) )
& ( ( A @ cC32xcomp )
=> ? [B: $i] : ( B @ ( A @ ra_Px7 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(109,axiom,
iV8467 @ cC72xcomp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_98) ).
thf(631,plain,
iV8467 @ cC72xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(101,axiom,
! [A: $i] :
( ( A @ cC14 )
<=> ? [B: $i] :
( ( B @ cTOP )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(594,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cTOP )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC14 ) )
& ( ( A @ cC14 )
=> ? [B: $i] :
( ( B @ cTOP )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(78,axiom,
! [A: $i] :
( ( A @ cC4 )
<=> ? [B: $i] :
( ( B @ cC2xcomp )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_35) ).
thf(520,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC2xcomp )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC4 ) )
& ( ( A @ cC4 )
=> ? [B: $i] :
( ( B @ cC2xcomp )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(29,axiom,
! [A: $i] :
( ( A @ cC34xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px9 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).
thf(278,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px9 ) )
=> ( A @ cC34xcomp ) )
& ( ( A @ cC34xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px9 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(19,axiom,
! [A: $i] :
( ( A @ cC32 )
<=> ? [B: $i] :
( ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).
thf(223,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC32 ) )
& ( ( A @ cC32 )
=> ? [B: $i] :
( ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(34,axiom,
! [A: $i] :
( ( A @ cC26xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px30 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
thf(306,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px30 ) )
=> ( A @ cC26xcomp ) )
& ( ( A @ cC26xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px30 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(33,axiom,
! [A: $i] :
( ( A @ cC38 )
<=> ? [B: $i] :
( ( B @ cC36xcomp )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
thf(299,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC36xcomp )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC38 ) )
& ( ( A @ cC38 )
=> ? [B: $i] :
( ( B @ cC36xcomp )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(74,axiom,
! [A: $i] :
( ( A @ cC62 )
<=> ? [B: $i] : ( B @ ( A @ ra_Px17 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_63) ).
thf(505,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px17 ) )
=> ( A @ cC62 ) )
& ( ( A @ cC62 )
=> ? [B: $i] : ( B @ ( A @ ra_Px17 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(5,axiom,
! [A: $i] :
( ( A @ cC42 )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px31 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).
thf(135,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px31 ) )
=> ( A @ cC42 ) )
& ( ( A @ cC42 )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px31 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(92,axiom,
! [A: $i] :
( ( A @ cC82 )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px25 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_81) ).
thf(563,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px25 ) )
=> ( A @ cC82 ) )
& ( ( A @ cC82 )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px25 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(87,axiom,
iV8470 @ cowlThing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_117) ).
thf(548,plain,
iV8470 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(67,axiom,
iV8471 @ cowlThing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_120) ).
thf(487,plain,
iV8471 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(106,axiom,
! [A: $i] :
( ( A @ cC20 )
<=> ? [B: $i] : ( B @ ( A @ ra_Px5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
thf(617,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px5 ) )
=> ( A @ cC20 ) )
& ( ( A @ cC20 )
=> ? [B: $i] : ( B @ ( A @ ra_Px5 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(41,axiom,
! [A: $i] :
( ( A @ cC36 )
<=> ? [B: $i] :
( ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_31) ).
thf(342,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC36 ) )
& ( ( A @ cC36 )
=> ? [B: $i] :
( ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(62,axiom,
! [A: $i] :
( ( A @ cC24 )
<=> ? [B: $i] :
( ( B @ cC22 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
thf(458,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)],[62]) ).
thf(91,axiom,
! [A: $i] :
( ( A @ cC14 )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(557,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px1 ) )
=> ( A @ cC14 ) )
& ( ( A @ cC14 )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(113,axiom,
! [A: $i] :
( ( A @ cC58 )
<=> ? [B: $i] :
( ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_57) ).
thf(640,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC58 ) )
& ( ( A @ cC58 )
=> ? [B: $i] :
( ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(38,axiom,
iV8473 @ cC2xcomp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_125) ).
thf(327,plain,
iV8473 @ cC2xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(46,axiom,
! [A: $i] :
( ( A @ cC48xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_46) ).
thf(370,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px12 ) )
=> ( A @ cC48xcomp ) )
& ( ( A @ cC48xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px12 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(95,axiom,
iV8472 @ cC2xcomp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_122) ).
thf(576,plain,
iV8472 @ cC2xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(45,axiom,
! [A: $i] :
( ( A @ cC6 )
<=> ? [B: $i] :
( ( B @ cC2xcomp )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_59) ).
thf(363,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC2xcomp )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC6 ) )
& ( ( A @ cC6 )
=> ? [B: $i] :
( ( B @ cC2xcomp )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(24,axiom,
! [A: $i] :
( ( A @ cC94 )
<=> ? [B: $i] :
( ( B @ cC92 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_94) ).
thf(250,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)],[24]) ).
thf(63,axiom,
! [A: $i] :
( ( A @ cC84 )
<=> ? [B: $i] :
( ( B @ cC2xcomp )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_84) ).
thf(465,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC2xcomp )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC84 ) )
& ( ( A @ cC84 )
=> ? [B: $i] :
( ( B @ cC2xcomp )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(36,axiom,
iV8474 @ cC32xcomp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_127) ).
thf(319,plain,
iV8474 @ cC32xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(1,conjecture,
( ( iV8472 @ cowlThing )
& ( iV8472 @ cC60 )
& ( iV8472 @ cC58 )
& ( iV8471 @ cC80 )
& ( iV8471 @ cowlThing )
& ( iV8467 @ cC48 )
& ( iV8467 @ cowlThing )
& ( iV8467 @ cC10 )
& ( iV8467 @ cC34 )
& ( iV8467 @ cC14 )
& ( iV8467 @ cC62 )
& ( iV8467 @ cC82 )
& ( iV8467 @ cC8 )
& ( iV8467 @ cC4 )
& ( iV8467 @ cC20 )
& ! [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,
~ ( ( iV8472 @ cowlThing )
& ( iV8472 @ cC60 )
& ( iV8472 @ cC58 )
& ( iV8471 @ cC80 )
& ( iV8471 @ cowlThing )
& ( iV8467 @ cC48 )
& ( iV8467 @ cowlThing )
& ( iV8467 @ cC10 )
& ( iV8467 @ cC34 )
& ( iV8467 @ cC14 )
& ( iV8467 @ cC62 )
& ( iV8467 @ cC82 )
& ( iV8467 @ cC8 )
& ( iV8467 @ cC4 )
& ( iV8467 @ cC20 )
& ! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) )
& ! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(114,plain,
~ ( ( iV8472 @ cowlThing )
& ( iV8472 @ cC60 )
& ( iV8472 @ cC58 )
& ( iV8471 @ cC80 )
& ( iV8471 @ cowlThing )
& ( iV8467 @ cC48 )
& ( iV8467 @ cowlThing )
& ( iV8467 @ cC10 )
& ( iV8467 @ cC34 )
& ( iV8467 @ cC14 )
& ( iV8467 @ cC62 )
& ( iV8467 @ cC82 )
& ( iV8467 @ cC8 )
& ( iV8467 @ cC4 )
& ( iV8467 @ cC20 )
& ! [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(110,axiom,
! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(632,plain,
! [A: $i] :
( ( ~ ( A @ xsd_integer )
=> ( A @ xsd_string ) )
& ( ( A @ xsd_string )
=> ~ ( A @ xsd_integer ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(48,axiom,
iV8470 @ cTOP,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_116) ).
thf(378,plain,
iV8470 @ cTOP,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(88,axiom,
iV8471 @ cC2xcomp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_119) ).
thf(549,plain,
iV8471 @ cC2xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(54,axiom,
! [A: $i] :
( ( A @ cC42xcomp )
<=> ? [B: $i] : ( B @ ( A @ ra_Px31 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_39) ).
thf(410,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px31 ) )
=> ( A @ cC42xcomp ) )
& ( ( A @ cC42xcomp )
=> ? [B: $i] : ( B @ ( A @ ra_Px31 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(104,axiom,
! [A: $i] :
( ( A @ cC12 )
<=> ? [B: $i] :
( ( B @ cC10 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(603,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC10 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC12 ) )
& ( ( A @ cC12 )
=> ? [B: $i] :
( ( B @ cC10 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(17,axiom,
! [A: $i] :
( ( A @ cC6xcomp )
<=> ? [B: $i] : ( B @ ( A @ ra_Px28 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_60) ).
thf(210,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px28 ) )
=> ( A @ cC6xcomp ) )
& ( ( A @ cC6xcomp )
=> ? [B: $i] : ( B @ ( A @ ra_Px28 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(58,axiom,
! [A: $i] :
( ( A @ cC2xcomp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
thf(437,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px3 ) )
=> ( A @ cC2xcomp ) )
& ( ( A @ cC2xcomp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px3 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(66,axiom,
iV8467 @ cC52xcomp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_97) ).
thf(486,plain,
iV8467 @ cC52xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(83,axiom,
! [A: $i] :
( ( A @ ( iV8471 @ rR1 ) )
=> ( A @ cC2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_121) ).
thf(543,plain,
! [A: $i] :
( ( A @ ( iV8471 @ rR1 ) )
=> ( A @ cC2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(112,axiom,
iV8473 @ cowlThing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_126) ).
thf(639,plain,
iV8473 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(99,axiom,
iV8467 @ cC26xcomp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_101) ).
thf(592,plain,
iV8467 @ cC26xcomp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(70,axiom,
iV8476 @ cowlThing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_133) ).
thf(496,plain,
iV8476 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(653,plain,
$false,
inference(e,[status(thm)],[569,497,277,479,249,379,511,385,550,472,153,185,320,257,570,504,542,638,284,416,216,179,591,443,376,623,121,602,147,397,243,527,312,292,452,512,546,534,349,630,165,197,551,285,403,356,593,141,610,328,488,489,547,128,541,264,601,513,430,584,423,191,577,204,545,391,445,498,335,236,350,159,172,230,271,631,594,520,278,223,306,299,505,135,563,548,487,617,342,458,557,640,327,370,576,363,250,465,319,114,632,378,549,410,603,210,437,486,543,639,592,496]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS155+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.11 % 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
% 0.21/0.47 % Computer : n018.cluster.edu
% 0.21/0.47 % Model : x86_64 x86_64
% 0.21/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.47 % Memory : 8046.5625MB
% 0.21/0.47 % OS : Linux 6.8.0-71-generic
% 0.21/0.47 % CPULimit : 300
% 0.21/0.47 % WCLimit : 300
% 0.21/0.47 % DateTime : Fri Sep 25 19:43:36 UTC 2026
% 0.21/0.48 % CPUTime :
% 0.21/0.48 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
% 1.27/1.21 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.10/1.51 % [INFO] Parsing done (300ms).
% 2.10/1.53 % [INFO] Running in sequential loop mode.
% 3.03/2.14 % [INFO] eprover registered as external prover.
% 3.03/2.14 % [INFO] Scanning for conjecture ...
% 3.34/2.27 % [INFO] Found a conjecture (or negated_conjecture) and 134 axioms. Running axiom selection ...
% 3.54/2.40 % [INFO] Axiom selection finished. Selected 111 axioms (removed 23 axioms).
% 4.03/2.52 % [INFO] Problem is first-order (TPTP FOF).
% 4.03/2.55 % [INFO] Type checking passed.
% 4.03/2.55 % [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 ...
% 10.27/4.46 % External prover 'e' found a proof!
% 10.27/4.46 % [INFO] Killing All external provers ...
% 10.27/4.46 % Time passed: 3782ms (effective reasoning time: 2920ms)
% 10.27/4.47 % 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)>
% 10.27/4.47 % Axioms used in derivation (111): axiom_31, axiom_53, axiom_26, axiom_108, axiom_88, axiom_114, axiom_119, axiom_10, axiom_22, axiom_59, axiom_125, axiom_77, axiom_44, axiom_15, axiom_121, axiom_67, axiom_130, axiom_69, axiom_51, axiom_19, axiom_99, axiom_84, axiom_63, axiom_110, axiom_103, axiom_38, axiom_2, axiom_79, axiom_129, axiom_89, axiom_107, axiom_27, axiom_6, axiom_91, axiom_60, axiom_118, axiom_132, axiom_126, axiom_78, axiom_92, axiom_133, axiom_100, axiom_64, axiom_16, axiom_50, axiom_111, axiom_122, axiom_81, axiom_3, axiom_68, axiom_46, axiom_104, axiom_20, axiom_70, axiom_115, axiom_90, axiom_1, axiom_57, axiom_127, axiom_116, axiom_61, axiom_105, axiom_35, axiom_28, axiom_101, axiom_112, axiom_65, axiom_36, axiom_39, axiom_80, axiom_71, axiom_8, axiom_97, axiom_17, axiom_5, axiom_13, axiom_123, axiom_82, axiom_41, axiom_128, axiom_109, axiom_25, axiom_76, axiom_52, axiom_34, axiom_0, axiom_58, axiom_62, axiom_45, axiom_29, axiom_11, axiom_117, axiom_30, axiom_106, axiom_18, axiom_87, axiom_131, axiom_113, axiom_12, axiom_98, axiom_102, axiom_48, axiom_83, axiom_14, axiom_124, axiom_72, axiom_120, axiom_94, axiom_4, axiom_66, axiom_37
% 10.27/4.47 % No. of inferences in proof: 226
% 10.27/4.47 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3782 ms resp. 2920 ms w/o parsing
% 11.53/4.61 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 11.53/4.61 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------