TSTP Solution File: KRS155+1 by Leo-III---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : KRS155+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 7 07:52:01 EDT 2024
% Result : Theorem 5.84s 2.47s
% Output : Refutation 6.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 205
% Syntax : Number of formulae : 319 ( 69 unt; 93 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 : 99 ( 99 >; 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_type,type,
cowlThing: $i > $o ).
thf(cowlNothing_type,type,
cowlNothing: $i > $o ).
thf(xsd_string_type,type,
xsd_string: $i > $o ).
thf(xsd_integer_type,type,
xsd_integer: $i > $o ).
thf(cC20_type,type,
cC20: $i > $o ).
thf(iV8467_type,type,
iV8467: $i ).
thf(cC4_type,type,
cC4: $i > $o ).
thf(cC8_type,type,
cC8: $i > $o ).
thf(cC82_type,type,
cC82: $i > $o ).
thf(cC62_type,type,
cC62: $i > $o ).
thf(cC14_type,type,
cC14: $i > $o ).
thf(cC34_type,type,
cC34: $i > $o ).
thf(cC10_type,type,
cC10: $i > $o ).
thf(cC48_type,type,
cC48: $i > $o ).
thf(iV8471_type,type,
iV8471: $i ).
thf(cC80_type,type,
cC80: $i > $o ).
thf(cC58_type,type,
cC58: $i > $o ).
thf(iV8472_type,type,
iV8472: $i ).
thf(cC60_type,type,
cC60: $i > $o ).
thf(cC92_type,type,
cC92: $i > $o ).
thf(cC82xcomp_type,type,
cC82xcomp: $i > $o ).
thf(cC90_type,type,
cC90: $i > $o ).
thf(cC26_type,type,
cC26: $i > $o ).
thf(cC24_type,type,
cC24: $i > $o ).
thf(cC20xcomp_type,type,
cC20xcomp: $i > $o ).
thf(cC42_type,type,
cC42: $i > $o ).
thf(ra_Px31_type,type,
ra_Px31: $i > $i > $o ).
thf(cC6_type,type,
cC6: $i > $o ).
thf(ra_Px28_type,type,
ra_Px28: $i > $i > $o ).
thf(cC32_type,type,
cC32: $i > $o ).
thf(ra_Px7_type,type,
ra_Px7: $i > $i > $o ).
thf(ra_Px34_type,type,
ra_Px34: $i > $i > $o ).
thf(ra_Px30_type,type,
ra_Px30: $i > $i > $o ).
thf(cC72_type,type,
cC72: $i > $o ).
thf(cC62xcomp_type,type,
cC62xcomp: $i > $o ).
thf(cC70_type,type,
cC70: $i > $o ).
thf(cC40_type,type,
cC40: $i > $o ).
thf(cC34xcomp_type,type,
cC34xcomp: $i > $o ).
thf(cC78_type,type,
cC78: $i > $o ).
thf(ra_Px20_type,type,
ra_Px20: $i > $i > $o ).
thf(cC52_type,type,
cC52: $i > $o ).
thf(ra_Px32_type,type,
ra_Px32: $i > $i > $o ).
thf(ra_Px33_type,type,
ra_Px33: $i > $i > $o ).
thf(cC50xcomp_type,type,
cC50xcomp: $i > $o ).
thf(cC48xcomp_type,type,
cC48xcomp: $i > $o ).
thf(cC52xcomp_type,type,
cC52xcomp: $i > $o ).
thf(cC6xcomp_type,type,
cC6xcomp: $i > $o ).
thf(rR1_type,type,
rR1: $i > $i > $o ).
thf(cC38_type,type,
cC38: $i > $o ).
thf(cC2_type,type,
cC2: $i > $o ).
thf(cC78xcomp_type,type,
cC78xcomp: $i > $o ).
thf(cC66_type,type,
cC66: $i > $o ).
thf(cC2xcomp_type,type,
cC2xcomp: $i > $o ).
thf(cC64_type,type,
cC64: $i > $o ).
thf(ra_Px17_type,type,
ra_Px17: $i > $i > $o ).
thf(iV8476_type,type,
iV8476: $i ).
thf(cC94_type,type,
cC94: $i > $o ).
thf(cC68_type,type,
cC68: $i > $o ).
thf(cC32xcomp_type,type,
cC32xcomp: $i > $o ).
thf(iV8475_type,type,
iV8475: $i ).
thf(ra_Px9_type,type,
ra_Px9: $i > $i > $o ).
thf(iV8468_type,type,
iV8468: $i ).
thf(cC16_type,type,
cC16: $i > $o ).
thf(cC14xcomp_type,type,
cC14xcomp: $i > $o ).
thf(cC88_type,type,
cC88: $i > $o ).
thf(cC86_type,type,
cC86: $i > $o ).
thf(cC36xcomp_type,type,
cC36xcomp: $i > $o ).
thf(cC26xcomp_type,type,
cC26xcomp: $i > $o ).
thf(cC84xcomp_type,type,
cC84xcomp: $i > $o ).
thf(iV8474_type,type,
iV8474: $i ).
thf(iV8473_type,type,
iV8473: $i ).
thf(cC44_type,type,
cC44: $i > $o ).
thf(cC36_type,type,
cC36: $i > $o ).
thf(iV8469_type,type,
iV8469: $i ).
thf(ra_Px5_type,type,
ra_Px5: $i > $i > $o ).
thf(cC54_type,type,
cC54: $i > $o ).
thf(ra_Px12_type,type,
ra_Px12: $i > $i > $o ).
thf(cTOP_type,type,
cTOP: $i > $o ).
thf(iV8470_type,type,
iV8470: $i ).
thf(cC72xcomp_type,type,
cC72xcomp: $i > $o ).
thf(ra_Px3_type,type,
ra_Px3: $i > $i > $o ).
thf(ra_Px25_type,type,
ra_Px25: $i > $i > $o ).
thf(ra_Px1_type,type,
ra_Px1: $i > $i > $o ).
thf(cC22_type,type,
cC22: $i > $o ).
thf(cC42xcomp_type,type,
cC42xcomp: $i > $o ).
thf(cC18_type,type,
cC18: $i > $o ).
thf(cC16xcomp_type,type,
cC16xcomp: $i > $o ).
thf(cC12_type,type,
cC12: $i > $o ).
thf(cC50_type,type,
cC50: $i > $o ).
thf(cC74_type,type,
cC74: $i > $o ).
thf(cC92xcomp_type,type,
cC92xcomp: $i > $o ).
thf(cC84_type,type,
cC84: $i > $o ).
thf(cC28_type,type,
cC28: $i > $o ).
thf(55,axiom,
! [A: $i] :
( ( cC18 @ A )
<=> ( ( cC16xcomp @ A )
& ( cC12 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
thf(371,plain,
! [A: $i] :
( ( ( cC18 @ A )
=> ( ( cC16xcomp @ A )
& ( cC12 @ A ) ) )
& ( ( ( cC16xcomp @ A )
& ( cC12 @ A ) )
=> ( cC18 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(71,axiom,
rR1 @ iV8467 @ iV8475,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_109) ).
thf(441,plain,
rR1 @ iV8467 @ iV8475,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(42,axiom,
cC6xcomp @ iV8469,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_113) ).
thf(314,plain,
cC6xcomp @ iV8469,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(99,axiom,
cC26xcomp @ iV8467,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_101) ).
thf(524,plain,
cC26xcomp @ iV8467,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(81,axiom,
rR1 @ iV8467 @ iV8473,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_108) ).
thf(479,plain,
rR1 @ iV8467 @ iV8473,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(83,axiom,
! [A: $i] :
( ( rR1 @ iV8471 @ A )
=> ( cC2 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_121) ).
thf(481,plain,
! [A: $i] :
( ( rR1 @ iV8471 @ A )
=> ( cC2 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(98,axiom,
cowlThing @ iV8472,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_123) ).
thf(523,plain,
cowlThing @ iV8472,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(21,axiom,
! [A: $i] :
( ( cC66 @ A )
<=> ( ( cC2xcomp @ A )
& ( cC64 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_66) ).
thf(217,plain,
! [A: $i] :
( ( ( cC66 @ A )
=> ( ( cC2xcomp @ A )
& ( cC64 @ A ) ) )
& ( ( ( cC2xcomp @ A )
& ( cC64 @ A ) )
=> ( cC66 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(41,axiom,
! [A: $i] :
( ( cC36 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_31) ).
thf(308,plain,
! [A: $i] :
( ( ( cC36 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2 @ B ) )
=> ( cC36 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(3,axiom,
! [A: $i] :
( ( cC92 @ A )
<=> ( ( cC82xcomp @ A )
& ( cC90 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_90) ).
thf(120,plain,
! [A: $i] :
( ( ( cC92 @ A )
=> ( ( cC82xcomp @ A )
& ( cC90 @ A ) ) )
& ( ( ( cC82xcomp @ A )
& ( cC90 @ A ) )
=> ( cC92 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(27,axiom,
! [A: $i] :
( ( cC32xcomp @ A )
<=> ? [B: $i] : ( ra_Px7 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).
thf(247,plain,
! [A: $i] :
( ( ( cC32xcomp @ A )
=> ? [B: $i] : ( ra_Px7 @ A @ B ) )
& ( ? [B: $i] : ( ra_Px7 @ A @ B )
=> ( cC32xcomp @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(70,axiom,
cowlThing @ iV8476,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_133) ).
thf(440,plain,
cowlThing @ iV8476,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(96,axiom,
! [A: $i] :
( ( cC62 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC60 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_62) ).
thf(511,plain,
! [A: $i] :
( ( ( cC62 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC60 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC60 @ B ) )
=> ( cC62 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(103,axiom,
rR1 @ iV8472 @ iV8476,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_124) ).
thf(533,plain,
rR1 @ iV8472 @ iV8476,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(7,axiom,
! [A: $i] :
( ( cC32 @ A )
<=> ~ ? [B: $i] : ( ra_Px7 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).
thf(142,plain,
! [A: $i] :
( ( ( cC32 @ A )
=> ~ ? [B: $i] : ( ra_Px7 @ A @ B ) )
& ( ~ ? [B: $i] : ( ra_Px7 @ A @ B )
=> ( cC32 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(49,axiom,
! [A: $i] :
( ( cC72xcomp @ A )
<=> ~ ? [B: $i] : ( ra_Px33 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_71) ).
thf(340,plain,
! [A: $i] :
( ( ( cC72xcomp @ A )
=> ~ ? [B: $i] : ( ra_Px33 @ A @ B ) )
& ( ~ ? [B: $i] : ( ra_Px33 @ A @ B )
=> ( cC72xcomp @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(13,axiom,
! [A: $i] :
( ( cC52 @ A )
<=> ? [B: $i] : ( ra_Px32 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_50) ).
thf(174,plain,
! [A: $i] :
( ( ( cC52 @ A )
=> ? [B: $i] : ( ra_Px32 @ A @ B ) )
& ( ? [B: $i] : ( ra_Px32 @ A @ B )
=> ( cC52 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(36,axiom,
cC32xcomp @ iV8474,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_127) ).
thf(288,plain,
cC32xcomp @ iV8474,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(44,axiom,
! [A: $i] :
( ( cC54 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC52 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_53) ).
thf(320,plain,
! [A: $i] :
( ( ( cC54 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC52 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC52 @ B ) )
=> ( cC54 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(112,axiom,
cowlThing @ iV8473,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_126) ).
thf(565,plain,
cowlThing @ iV8473,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(58,axiom,
! [A: $i] :
( ( cC2xcomp @ A )
<=> ~ ? [B: $i] : ( ra_Px3 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
thf(389,plain,
! [A: $i] :
( ( ( cC2xcomp @ A )
=> ~ ? [B: $i] : ( ra_Px3 @ A @ B ) )
& ( ~ ? [B: $i] : ( ra_Px3 @ A @ B )
=> ( cC2xcomp @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(15,axiom,
! [A: $i] :
( ( cC52 @ A )
<=> ( ( cC50xcomp @ A )
& ( cC48xcomp @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_51) ).
thf(184,plain,
! [A: $i] :
( ( ( cC52 @ A )
=> ( ( cC50xcomp @ A )
& ( cC48xcomp @ A ) ) )
& ( ( ( cC50xcomp @ A )
& ( cC48xcomp @ A ) )
=> ( cC52 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(93,axiom,
cowlThing @ iV8468,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_112) ).
thf(504,plain,
cowlThing @ iV8468,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(10,axiom,
! [A: $i] :
( ( cC72 @ A )
<=> ( ( cC62xcomp @ A )
& ( cC70 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_69) ).
thf(157,plain,
! [A: $i] :
( ( ( cC72 @ A )
=> ( ( cC62xcomp @ A )
& ( cC70 @ A ) ) )
& ( ( ( cC62xcomp @ A )
& ( cC70 @ A ) )
=> ( cC72 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(110,axiom,
! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(559,plain,
! [A: $i] :
( ( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(9,axiom,
! [A: $i] :
( ( cC26 @ A )
<=> ? [B: $i] : ( ra_Px30 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
thf(152,plain,
! [A: $i] :
( ( ( cC26 @ A )
=> ? [B: $i] : ( ra_Px30 @ A @ B ) )
& ( ? [B: $i] : ( ra_Px30 @ A @ B )
=> ( cC26 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(23,axiom,
cC2 @ iV8476,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_132) ).
thf(228,plain,
cC2 @ iV8476,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(37,axiom,
! [A: $i] :
( ( cC90 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC88 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_89) ).
thf(289,plain,
! [A: $i] :
( ( ( cC90 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC88 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC88 @ B ) )
=> ( cC90 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(74,axiom,
! [A: $i] :
( ( cC62 @ A )
<=> ? [B: $i] : ( ra_Px17 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_63) ).
thf(448,plain,
! [A: $i] :
( ( ( cC62 @ A )
=> ? [B: $i] : ( ra_Px17 @ A @ B ) )
& ( ? [B: $i] : ( ra_Px17 @ A @ B )
=> ( cC62 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(14,axiom,
! [A: $i] :
( ( cC72 @ A )
<=> ? [B: $i] : ( ra_Px33 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_70) ).
thf(179,plain,
! [A: $i] :
( ( ( cC72 @ A )
=> ? [B: $i] : ( ra_Px33 @ A @ B ) )
& ( ? [B: $i] : ( ra_Px33 @ A @ B )
=> ( cC72 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(29,axiom,
! [A: $i] :
( ( cC34xcomp @ A )
<=> ~ ? [B: $i] : ( ra_Px9 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).
thf(253,plain,
! [A: $i] :
( ( ( cC34xcomp @ A )
=> ~ ? [B: $i] : ( ra_Px9 @ A @ B ) )
& ( ~ ? [B: $i] : ( ra_Px9 @ A @ B )
=> ( cC34xcomp @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(86,axiom,
rR1 @ iV8467 @ iV8472,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_110) ).
thf(485,plain,
rR1 @ iV8467 @ iV8472,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(82,axiom,
cC92xcomp @ iV8467,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_99) ).
thf(480,plain,
cC92xcomp @ iV8467,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(8,axiom,
! [A: $i] :
( ( cC92 @ A )
<=> ~ ? [B: $i] : ( ra_Px34 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_91) ).
thf(147,plain,
! [A: $i] :
( ( ( cC92 @ A )
=> ~ ? [B: $i] : ( ra_Px34 @ A @ B ) )
& ( ~ ? [B: $i] : ( ra_Px34 @ A @ B )
=> ( cC92 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(75,axiom,
rR1 @ iV8467 @ iV8468,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_107) ).
thf(453,plain,
rR1 @ iV8467 @ iV8468,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(5,axiom,
! [A: $i] :
( ( cC42 @ A )
<=> ~ ? [B: $i] : ( ra_Px31 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).
thf(132,plain,
! [A: $i] :
( ( ( cC42 @ A )
=> ~ ? [B: $i] : ( ra_Px31 @ A @ B ) )
& ( ~ ? [B: $i] : ( ra_Px31 @ A @ B )
=> ( cC42 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(60,axiom,
! [A: $i] :
( ( cC74 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC72 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_72) ).
thf(396,plain,
! [A: $i] :
( ( ( cC74 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC72 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC72 @ B ) )
=> ( cC74 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(32,axiom,
! [A: $i] :
( ( cC88 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC86 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_88) ).
thf(265,plain,
! [A: $i] :
( ( ( cC88 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC86 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC86 @ B ) )
=> ( cC88 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(19,axiom,
! [A: $i] :
( ( cC32 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).
thf(206,plain,
! [A: $i] :
( ( ( cC32 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2 @ B ) )
=> ( cC32 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(106,axiom,
! [A: $i] :
( ( cC20 @ A )
<=> ? [B: $i] : ( ra_Px5 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
thf(546,plain,
! [A: $i] :
( ( ( cC20 @ A )
=> ? [B: $i] : ( ra_Px5 @ A @ B ) )
& ( ? [B: $i] : ( ra_Px5 @ A @ B )
=> ( cC20 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(54,axiom,
! [A: $i] :
( ( cC42xcomp @ A )
<=> ? [B: $i] : ( ra_Px31 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_39) ).
thf(366,plain,
! [A: $i] :
( ( ( cC42xcomp @ A )
=> ? [B: $i] : ( ra_Px31 @ A @ B ) )
& ( ? [B: $i] : ( ra_Px31 @ A @ B )
=> ( cC42xcomp @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(104,axiom,
! [A: $i] :
( ( cC12 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC10 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(534,plain,
! [A: $i] :
( ( ( cC12 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC10 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC10 @ B ) )
=> ( cC12 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(40,axiom,
! [A: $i] :
( ( cC44 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC42 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_41) ).
thf(302,plain,
! [A: $i] :
( ( ( cC44 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC42 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC42 @ B ) )
=> ( cC44 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(62,axiom,
! [A: $i] :
( ( cC24 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC22 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
thf(407,plain,
! [A: $i] :
( ( ( cC24 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC22 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC22 @ B ) )
=> ( cC24 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(6,axiom,
! [A: $i] :
( ( cC6 @ A )
<=> ~ ? [B: $i] : ( ra_Px28 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_58) ).
thf(137,plain,
! [A: $i] :
( ( ( cC6 @ A )
=> ~ ? [B: $i] : ( ra_Px28 @ A @ B ) )
& ( ~ ? [B: $i] : ( ra_Px28 @ A @ B )
=> ( cC6 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(79,axiom,
! [A: $i] :
( ( cC80 @ A )
<=> ( ( cC78xcomp @ A )
& ( cC2xcomp @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_80) ).
thf(467,plain,
! [A: $i] :
( ( ( cC80 @ A )
=> ( ( cC78xcomp @ A )
& ( cC2xcomp @ A ) ) )
& ( ( ( cC78xcomp @ A )
& ( cC2xcomp @ A ) )
=> ( cC80 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(28,axiom,
cC2xcomp @ iV8475,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_130) ).
thf(252,plain,
cC2xcomp @ iV8475,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(78,axiom,
! [A: $i] :
( ( cC4 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_35) ).
thf(461,plain,
! [A: $i] :
( ( ( cC4 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) )
=> ( cC4 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(107,axiom,
! [A: $i] :
( ( cC82 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC80 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_82) ).
thf(551,plain,
! [A: $i] :
( ( ( cC82 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC80 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC80 @ B ) )
=> ( cC82 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(24,axiom,
! [A: $i] :
( ( cC94 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC92 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_94) ).
thf(229,plain,
! [A: $i] :
( ( ( cC94 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC92 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC92 @ B ) )
=> ( cC94 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(113,axiom,
! [A: $i] :
( ( cC58 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_57) ).
thf(566,plain,
! [A: $i] :
( ( ( cC58 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2 @ B ) )
=> ( cC58 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(85,axiom,
rR1 @ iV8467 @ iV8469,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_105) ).
thf(484,plain,
rR1 @ iV8467 @ iV8469,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(12,axiom,
! [A: $i] :
( ( cC78 @ A )
<=> ? [B: $i] : ( ra_Px20 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_77) ).
thf(169,plain,
! [A: $i] :
( ( ( cC78 @ A )
=> ? [B: $i] : ( ra_Px20 @ A @ B ) )
& ( ? [B: $i] : ( ra_Px20 @ A @ B )
=> ( cC78 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(92,axiom,
! [A: $i] :
( ( cC82 @ A )
<=> ~ ? [B: $i] : ( ra_Px25 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_81) ).
thf(499,plain,
! [A: $i] :
( ( ( cC82 @ A )
=> ~ ? [B: $i] : ( ra_Px25 @ A @ B ) )
& ( ~ ? [B: $i] : ( ra_Px25 @ A @ B )
=> ( cC82 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(89,axiom,
cowlThing @ iV8474,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_128) ).
thf(488,plain,
cowlThing @ iV8474,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(48,axiom,
cTOP @ iV8470,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_116) ).
thf(339,plain,
cTOP @ iV8470,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(101,axiom,
! [A: $i] :
( ( cC14 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cTOP @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(526,plain,
! [A: $i] :
( ( ( cC14 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cTOP @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cTOP @ B ) )
=> ( cC14 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(90,axiom,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(489,plain,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(20,axiom,
! [A: $i] :
( ( cC78xcomp @ A )
<=> ~ ? [B: $i] : ( ra_Px20 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_78) ).
thf(212,plain,
! [A: $i] :
( ( ( cC78xcomp @ A )
=> ~ ? [B: $i] : ( ra_Px20 @ A @ B ) )
& ( ~ ? [B: $i] : ( ra_Px20 @ A @ B )
=> ( cC78xcomp @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(53,axiom,
! [A: $i] :
( ( cC22 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
thf(360,plain,
! [A: $i] :
( ( ( cC22 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) )
=> ( cC22 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(109,axiom,
cC72xcomp @ iV8467,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_98) ).
thf(558,plain,
cC72xcomp @ iV8467,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(65,axiom,
! [A: $i] :
( ( cC8 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC6xcomp @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_79) ).
thf(425,plain,
! [A: $i] :
( ( ( cC8 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC6xcomp @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC6xcomp @ B ) )
=> ( cC8 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(39,axiom,
! [A: $i] :
( ( cC64 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_65) ).
thf(296,plain,
! [A: $i] :
( ( ( cC64 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2 @ B ) )
=> ( cC64 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(61,axiom,
! [A: $i] :
( ( cC92xcomp @ A )
<=> ? [B: $i] : ( ra_Px34 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_92) ).
thf(402,plain,
! [A: $i] :
( ( ( cC92xcomp @ A )
=> ? [B: $i] : ( ra_Px34 @ A @ B ) )
& ( ? [B: $i] : ( ra_Px34 @ A @ B )
=> ( cC92xcomp @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(31,axiom,
! [A: $i] :
( ( cC16 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC14xcomp @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
thf(259,plain,
! [A: $i] :
( ( ( cC16 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC14xcomp @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC14xcomp @ B ) )
=> ( cC16 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(63,axiom,
! [A: $i] :
( ( cC84 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_84) ).
thf(413,plain,
! [A: $i] :
( ( ( cC84 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) )
=> ( cC84 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(51,axiom,
! [A: $i] :
( ( cC82xcomp @ A )
<=> ? [B: $i] : ( ra_Px25 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_83) ).
thf(350,plain,
! [A: $i] :
( ( ( cC82xcomp @ A )
=> ? [B: $i] : ( ra_Px25 @ A @ B ) )
& ( ? [B: $i] : ( ra_Px25 @ A @ B )
=> ( cC82xcomp @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(105,axiom,
! [A: $i] :
( ( cC60 @ A )
<=> ( ( cC2xcomp @ A )
& ( cC58 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).
thf(540,plain,
! [A: $i] :
( ( ( cC60 @ A )
=> ( ( cC2xcomp @ A )
& ( cC58 @ A ) ) )
& ( ( ( cC2xcomp @ A )
& ( cC58 @ A ) )
=> ( cC60 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(64,axiom,
! [A: $i] :
( ( cC28 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC26 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).
thf(419,plain,
! [A: $i] :
( ( ( cC28 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC26 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC26 @ B ) )
=> ( cC28 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(56,axiom,
! [A: $i] :
( ( cC50 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_48) ).
thf(377,plain,
! [A: $i] :
( ( ( cC50 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2 @ B ) )
=> ( cC50 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(69,axiom,
! [A: $i] :
( ( cC10 @ A )
<=> ( ( cC4 @ A )
& ( cC8 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(434,plain,
! [A: $i] :
( ( ( cC10 @ A )
=> ( ( cC4 @ A )
& ( cC8 @ A ) ) )
& ( ( ( cC4 @ A )
& ( cC8 @ A ) )
=> ( cC10 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(33,axiom,
! [A: $i] :
( ( cC38 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC36xcomp @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
thf(271,plain,
! [A: $i] :
( ( ( cC38 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC36xcomp @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC36xcomp @ B ) )
=> ( cC38 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(91,axiom,
! [A: $i] :
( ( cC14 @ A )
<=> ~ ? [B: $i] : ( ra_Px1 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(494,plain,
! [A: $i] :
( ( ( cC14 @ A )
=> ~ ? [B: $i] : ( ra_Px1 @ A @ B ) )
& ( ~ ? [B: $i] : ( ra_Px1 @ A @ B )
=> ( cC14 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(50,axiom,
! [A: $i] :
( ( cC2 @ A )
<=> ? [B: $i] : ( ra_Px3 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
thf(345,plain,
! [A: $i] :
( ( ( cC2 @ A )
=> ? [B: $i] : ( ra_Px3 @ A @ B ) )
& ( ? [B: $i] : ( ra_Px3 @ A @ B )
=> ( cC2 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(84,axiom,
cC42xcomp @ iV8467,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_100) ).
thf(483,plain,
cC42xcomp @ iV8467,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(77,axiom,
! [A: $i] :
( ( cC48 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_44) ).
thf(455,plain,
! [A: $i] :
( ( ( cC48 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) )
=> ( cC48 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(22,axiom,
! [A: $i] :
( ( cC62xcomp @ A )
<=> ~ ? [B: $i] : ( ra_Px17 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_64) ).
thf(223,plain,
! [A: $i] :
( ( ( cC62xcomp @ A )
=> ~ ? [B: $i] : ( ra_Px17 @ A @ B ) )
& ( ~ ? [B: $i] : ( ra_Px17 @ A @ B )
=> ( cC62xcomp @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(59,axiom,
! [A: $i] :
( ( rR1 @ iV8474 @ A )
=> ( cC2xcomp @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_129) ).
thf(394,plain,
! [A: $i] :
( ( rR1 @ iV8474 @ A )
=> ( cC2xcomp @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(94,axiom,
! [A: $i] :
( ( cC34 @ A )
<=> ? [B: $i] : ( ra_Px9 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
thf(505,plain,
! [A: $i] :
( ( ( cC34 @ A )
=> ? [B: $i] : ( ra_Px9 @ A @ B ) )
& ( ? [B: $i] : ( ra_Px9 @ A @ B )
=> ( cC34 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(66,axiom,
cC52xcomp @ iV8467,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_97) ).
thf(431,plain,
cC52xcomp @ iV8467,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(26,axiom,
! [A: $i] :
( ( cC78 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_76) ).
thf(241,plain,
! [A: $i] :
( ( ( cC78 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) )
=> ( cC78 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(80,axiom,
! [A: $i] :
( ( cC20 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
thf(473,plain,
! [A: $i] :
( ( ( cC20 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) )
=> ( cC20 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(88,axiom,
cC2xcomp @ iV8471,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_119) ).
thf(487,plain,
cC2xcomp @ iV8471,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(52,axiom,
! [A: $i] :
( ( cC14xcomp @ A )
<=> ? [B: $i] : ( ra_Px1 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
thf(355,plain,
! [A: $i] :
( ( ( cC14xcomp @ A )
=> ? [B: $i] : ( ra_Px1 @ A @ B ) )
& ( ? [B: $i] : ( ra_Px1 @ A @ B )
=> ( cC14xcomp @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(100,axiom,
cowlThing @ iV8475,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_131) ).
thf(525,plain,
cowlThing @ iV8475,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(108,axiom,
cowlThing @ iV8469,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_114) ).
thf(557,plain,
cowlThing @ iV8469,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(38,axiom,
cC2xcomp @ iV8473,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_125) ).
thf(295,plain,
cC2xcomp @ iV8473,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(35,axiom,
! [A: $i] :
( ( cC86 @ A )
<=> ( ( cC84xcomp @ A )
& ( cC2xcomp @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_87) ).
thf(282,plain,
! [A: $i] :
( ( ( cC86 @ A )
=> ( ( cC84xcomp @ A )
& ( cC2xcomp @ A ) ) )
& ( ( ( cC84xcomp @ A )
& ( cC2xcomp @ A ) )
=> ( cC86 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(97,axiom,
! [A: $i] :
( ( cC34 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC32xcomp @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).
thf(517,plain,
! [A: $i] :
( ( ( cC34 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC32xcomp @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC32xcomp @ B ) )
=> ( cC34 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(30,axiom,
cC2xcomp @ iV8468,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_111) ).
thf(258,plain,
cC2xcomp @ iV8468,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(1,conjecture,
( ! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) )
& ! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) )
& ( cC20 @ iV8467 )
& ( cC4 @ iV8467 )
& ( cC8 @ iV8467 )
& ( cC82 @ iV8467 )
& ( cC62 @ iV8467 )
& ( cC14 @ iV8467 )
& ( cC34 @ iV8467 )
& ( cC10 @ iV8467 )
& ( cowlThing @ iV8467 )
& ( cC48 @ iV8467 )
& ( cowlThing @ iV8471 )
& ( cC80 @ iV8471 )
& ( cC58 @ iV8472 )
& ( cC60 @ iV8472 )
& ( cowlThing @ iV8472 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
thf(2,negated_conjecture,
~ ( ! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) )
& ! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) )
& ( cC20 @ iV8467 )
& ( cC4 @ iV8467 )
& ( cC8 @ iV8467 )
& ( cC82 @ iV8467 )
& ( cC62 @ iV8467 )
& ( cC14 @ iV8467 )
& ( cC34 @ iV8467 )
& ( cC10 @ iV8467 )
& ( cowlThing @ iV8467 )
& ( cC48 @ iV8467 )
& ( cowlThing @ iV8471 )
& ( cC80 @ iV8471 )
& ( cC58 @ iV8472 )
& ( cC60 @ iV8472 )
& ( cowlThing @ iV8472 ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(114,plain,
~ ( ! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) )
& ! [A: $i] :
( ( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) ) )
& ( cC20 @ iV8467 )
& ( cC4 @ iV8467 )
& ( cC8 @ iV8467 )
& ( cC82 @ iV8467 )
& ( cC62 @ iV8467 )
& ( cC14 @ iV8467 )
& ( cC34 @ iV8467 )
& ( cC10 @ iV8467 )
& ( cowlThing @ iV8467 )
& ( cC48 @ iV8467 )
& ( cowlThing @ iV8471 )
& ( cC80 @ iV8471 )
& ( cC58 @ iV8472 )
& ( cC60 @ iV8472 )
& ( cowlThing @ iV8472 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(25,axiom,
! [A: $i] :
( ( cC70 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC68 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_68) ).
thf(235,plain,
! [A: $i] :
( ( ( cC70 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC68 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC68 @ B ) )
=> ( cC70 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(57,axiom,
! [A: $i] :
( ( cC68 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC66 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_67) ).
thf(383,plain,
! [A: $i] :
( ( ( cC68 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC66 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC66 @ B ) )
=> ( cC68 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(68,axiom,
cowlThing @ iV8467,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_102) ).
thf(433,plain,
cowlThing @ iV8467,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(95,axiom,
cC2xcomp @ iV8472,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_122) ).
thf(510,plain,
cC2xcomp @ iV8472,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(73,axiom,
rR1 @ iV8467 @ iV8471,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_103) ).
thf(447,plain,
rR1 @ iV8467 @ iV8471,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(43,axiom,
! [A: $i] :
( ( cC20xcomp @ A )
<=> ~ ? [B: $i] : ( ra_Px5 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
thf(315,plain,
! [A: $i] :
( ( ( cC20xcomp @ A )
=> ~ ? [B: $i] : ( ra_Px5 @ A @ B ) )
& ( ~ ? [B: $i] : ( ra_Px5 @ A @ B )
=> ( cC20xcomp @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(67,axiom,
cowlThing @ iV8471,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_120) ).
thf(432,plain,
cowlThing @ iV8471,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(16,axiom,
! [A: $i] :
( ( cC52xcomp @ A )
<=> ~ ? [B: $i] : ( ra_Px32 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_52) ).
thf(190,plain,
! [A: $i] :
( ( ( cC52xcomp @ A )
=> ~ ? [B: $i] : ( ra_Px32 @ A @ B ) )
& ( ~ ? [B: $i] : ( ra_Px32 @ A @ B )
=> ( cC52xcomp @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(111,axiom,
rR1 @ iV8467 @ iV8470,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_104) ).
thf(564,plain,
rR1 @ iV8467 @ iV8470,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(45,axiom,
! [A: $i] :
( ( cC6 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_59) ).
thf(326,plain,
! [A: $i] :
( ( ( cC6 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) )
=> ( cC6 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(4,axiom,
! [A: $i] :
( ( cC26 @ A )
<=> ( ( cC24 @ A )
& ( cC20xcomp @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
thf(126,plain,
! [A: $i] :
( ( ( cC26 @ A )
=> ( ( cC24 @ A )
& ( cC20xcomp @ A ) ) )
& ( ( ( cC24 @ A )
& ( cC20xcomp @ A ) )
=> ( cC26 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(17,axiom,
! [A: $i] :
( ( cC6xcomp @ A )
<=> ? [B: $i] : ( ra_Px28 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_60) ).
thf(195,plain,
! [A: $i] :
( ( ( cC6xcomp @ A )
=> ? [B: $i] : ( ra_Px28 @ A @ B ) )
& ( ? [B: $i] : ( ra_Px28 @ A @ B )
=> ( cC6xcomp @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(102,axiom,
cC78xcomp @ iV8471,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_118) ).
thf(532,plain,
cC78xcomp @ iV8471,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(46,axiom,
! [A: $i] :
( ( cC48xcomp @ A )
<=> ~ ? [B: $i] : ( ra_Px12 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_46) ).
thf(332,plain,
! [A: $i] :
( ( ( cC48xcomp @ A )
=> ~ ? [B: $i] : ( ra_Px12 @ A @ B ) )
& ( ~ ? [B: $i] : ( ra_Px12 @ A @ B )
=> ( cC48xcomp @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(34,axiom,
! [A: $i] :
( ( cC26xcomp @ A )
<=> ~ ? [B: $i] : ( ra_Px30 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
thf(277,plain,
! [A: $i] :
( ( ( cC26xcomp @ A )
=> ~ ? [B: $i] : ( ra_Px30 @ A @ B ) )
& ( ~ ? [B: $i] : ( ra_Px30 @ A @ B )
=> ( cC26xcomp @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(72,axiom,
! [A: $i] :
( ( cC48 @ A )
<=> ? [B: $i] : ( ra_Px12 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_45) ).
thf(442,plain,
! [A: $i] :
( ( ( cC48 @ A )
=> ? [B: $i] : ( ra_Px12 @ A @ B ) )
& ( ? [B: $i] : ( ra_Px12 @ A @ B )
=> ( cC48 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(11,axiom,
! [A: $i] :
( ( cC42 @ A )
<=> ( ( cC40 @ A )
& ( cC34xcomp @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_38) ).
thf(163,plain,
! [A: $i] :
( ( ( cC42 @ A )
=> ( ( cC40 @ A )
& ( cC34xcomp @ A ) ) )
& ( ( ( cC40 @ A )
& ( cC34xcomp @ A ) )
=> ( cC42 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(18,axiom,
! [A: $i] :
( ( cC40 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC38 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).
thf(200,plain,
! [A: $i] :
( ( ( cC40 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC38 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC38 @ B ) )
=> ( cC40 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(87,axiom,
cowlThing @ iV8470,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_117) ).
thf(486,plain,
cowlThing @ iV8470,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(47,axiom,
! [A: $i] :
( ( rR1 @ iV8469 @ A )
=> ( cC2 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_115) ).
thf(337,plain,
! [A: $i] :
( ( rR1 @ iV8469 @ A )
=> ( cC2 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(76,axiom,
rR1 @ iV8467 @ iV8474,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_106) ).
thf(454,plain,
rR1 @ iV8467 @ iV8474,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(572,plain,
$false,
inference(e,[status(thm)],[371,441,314,524,479,481,523,217,308,120,247,440,511,533,142,340,174,288,320,565,389,184,504,157,559,152,228,289,448,179,253,485,480,147,453,132,396,265,206,546,366,534,302,407,137,467,252,461,551,229,566,484,169,499,488,339,526,489,212,360,558,425,296,402,259,413,350,540,419,377,434,271,494,345,483,455,223,394,505,431,241,473,487,355,525,557,295,282,517,258,114,235,383,433,510,447,315,432,190,564,326,126,195,532,332,277,442,163,200,486,337,454]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS155+1 : TPTP v8.1.2. Released v3.1.0.
% 0.14/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n016.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 6 15:19:39 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.95/0.95 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.35/1.11 % [INFO] Parsing done (165ms).
% 1.35/1.12 % [INFO] Running in sequential loop mode.
% 1.92/1.32 % [INFO] eprover registered as external prover.
% 1.92/1.33 % [INFO] cvc4 registered as external prover.
% 1.92/1.33 % [INFO] Scanning for conjecture ...
% 2.05/1.41 % [INFO] Found a conjecture and 134 axioms. Running axiom selection ...
% 2.29/1.48 % [INFO] Axiom selection finished. Selected 111 axioms (removed 23 axioms).
% 2.66/1.54 % [INFO] Problem is first-order (TPTP FOF).
% 2.69/1.55 % [INFO] Type checking passed.
% 2.69/1.55 % [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 ...
% 5.84/2.47 % External prover 'e' found a proof!
% 5.84/2.47 % [INFO] Killing All external provers ...
% 5.84/2.47 % Time passed: 1852ms (effective reasoning time: 1344ms)
% 5.84/2.47 % 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)>
% 5.84/2.47 % 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
% 5.84/2.47 % No. of inferences in proof: 226
% 5.84/2.47 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1852 ms resp. 1344 ms w/o parsing
% 6.18/2.54 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.18/2.54 % [INFO] Killing All external provers ...
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