%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : KRS102+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:44:39 AM UTC 2026
% Result : Unsatisfiable 12.58s 4.31s
% Output : Refutation 12.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 83
% Syntax : Number of formulae : 167 ( 43 unt; 0 typ; 0 def)
% Number of atoms : 443 ( 342 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 383 ( 7 ~; 210 |; 23 &; 100 @)
% ( 11 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 25 usr; 21 con; 0-2 aty)
% Number of variables : 44 ( 0 ^; 44 !; 0 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
thf(cTorF_decl,type,
cTorF: $i > $o ).
thf(cowlNothing_decl,type,
cowlNothing: $i > $o ).
thf(cowlThing_decl,type,
cowlThing: $i > $o ).
thf(xsd_integer_decl,type,
xsd_integer: $i > $o ).
thf(xsd_string_decl,type,
xsd_string: $i > $o ).
thf(iplus1_decl,type,
iplus1: $i ).
thf(iminus1_decl,type,
iminus1: $i ).
thf(iminus4_decl,type,
iminus4: $i ).
thf(iplus4_decl,type,
iplus4: $i ).
thf(iplus2_decl,type,
iplus2: $i ).
thf(iminus2_decl,type,
iminus2: $i ).
thf(iplus7_decl,type,
iplus7: $i ).
thf(iminus7_decl,type,
iminus7: $i ).
thf(iplus5_decl,type,
iplus5: $i ).
thf(iminus5_decl,type,
iminus5: $i ).
thf(iplus3_decl,type,
iplus3: $i ).
thf(iminus3_decl,type,
iminus3: $i ).
thf(iT_decl,type,
iT: $i ).
thf(iF_decl,type,
iF: $i ).
thf(iplus8_decl,type,
iplus8: $i ).
thf(iminus8_decl,type,
iminus8: $i ).
thf(iminus6_decl,type,
iminus6: $i ).
thf(iplus6_decl,type,
iplus6: $i ).
thf(iminus9_decl,type,
iminus9: $i ).
thf(iplus9_decl,type,
iplus9: $i ).
thf(40,axiom,
( ( iT = iplus7 )
| ( iT = iminus5 )
| ( iT = iplus8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).
thf(288,plain,
( ( iT = iplus7 )
| ( iT = iminus5 )
| ( iT = iplus8 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(31,axiom,
( ( iT = iplus4 )
| ( iT = iplus6 )
| ( iT = iminus8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_25) ).
thf(261,plain,
( ( iT = iplus4 )
| ( iT = iplus6 )
| ( iT = iminus8 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(73,axiom,
iminus9 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_67) ).
thf(371,plain,
iminus9 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(64,axiom,
( ( iT = iplus9 )
| ( iT = iplus7 )
| ( iT = iminus4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_58) ).
thf(360,plain,
( ( iT = iplus9 )
| ( iT = iplus7 )
| ( iT = iminus4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(22,axiom,
( ( iT = iminus7 )
| ( iT = iplus9 )
| ( iT = iplus5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
thf(236,plain,
( ( iT = iminus7 )
| ( iT = iplus9 )
| ( iT = iplus5 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(56,axiom,
( ( iT = iminus7 )
| ( iT = iplus2 )
| ( iT = iminus5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_50) ).
thf(336,plain,
( ( iT = iminus7 )
| ( iT = iplus2 )
| ( iT = iminus5 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(80,axiom,
iplus7 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_74) ).
thf(378,plain,
iplus7 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(71,axiom,
iminus7 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_65) ).
thf(369,plain,
iminus7 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(2,axiom,
! [A: $i,B: $i] :
( ( ( A @ cowlNothing )
& ( A = B ) )
=> ( B @ cowlNothing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cowlNothing_substitution_1) ).
thf(88,plain,
! [A: $i,B: $i] :
( ( ( A @ cowlNothing )
& ( A = B ) )
=> ( B @ cowlNothing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(67,axiom,
iminus3 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_61) ).
thf(365,plain,
iminus3 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(10,axiom,
! [A: $i] :
( ( A @ cTorF )
<=> ( ( A = iminus2 )
| ( A = iplus2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
thf(138,plain,
! [A: $i] :
( ( ( ( A = iminus2 )
| ( A = iplus2 ) )
=> ( A @ cTorF ) )
& ( ( A @ cTorF )
=> ( ( A = iminus2 )
| ( A = iplus2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(55,axiom,
( ( iT = iminus3 )
| ( iT = iminus8 )
| ( iT = iplus5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_49) ).
thf(333,plain,
( ( iT = iminus3 )
| ( iT = iminus8 )
| ( iT = iplus5 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(27,axiom,
( ( iT = iplus9 )
| ( iT = iminus4 )
| ( iT = iminus8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
thf(249,plain,
( ( iT = iplus9 )
| ( iT = iminus4 )
| ( iT = iminus8 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(36,axiom,
( ( iT = iplus9 )
| ( iT = iminus4 )
| ( iT = iplus1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).
thf(276,plain,
( ( iT = iplus9 )
| ( iT = iminus4 )
| ( iT = iplus1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(81,axiom,
iplus8 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_75) ).
thf(379,plain,
iplus8 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(74,axiom,
iplus1 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_68) ).
thf(372,plain,
iplus1 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(7,axiom,
! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(110,plain,
! [A: $i] :
( ( ~ ( A @ xsd_integer )
=> ( A @ xsd_string ) )
& ( ( A @ xsd_string )
=> ~ ( A @ xsd_integer ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(63,axiom,
( ( iT = iminus4 )
| ( iT = iplus6 )
| ( iT = iplus8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_57) ).
thf(357,plain,
( ( iT = iminus4 )
| ( iT = iplus6 )
| ( iT = iplus8 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(51,axiom,
( ( iT = iminus3 )
| ( iT = iminus8 )
| ( iT = iminus5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_45) ).
thf(321,plain,
( ( iT = iminus3 )
| ( iT = iminus8 )
| ( iT = iminus5 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(78,axiom,
iplus5 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_72) ).
thf(376,plain,
iplus5 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(60,axiom,
( ( iT = iminus9 )
| ( iT = iplus3 )
| ( iT = iminus5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_54) ).
thf(348,plain,
( ( iT = iminus9 )
| ( iT = iplus3 )
| ( iT = iminus5 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(1,axiom,
! [A: $i,B: $i] :
( ( ( A @ cTorF )
& ( A = B ) )
=> ( B @ cTorF ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTorF_substitution_1) ).
thf(84,plain,
! [A: $i,B: $i] :
( ( ( A @ cTorF )
& ( A = B ) )
=> ( B @ cTorF ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(8,axiom,
! [A: $i] :
( ( A @ cTorF )
<=> ( ( A = iminus1 )
| ( A = iplus1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(116,plain,
! [A: $i] :
( ( ( ( A = iminus1 )
| ( A = iplus1 ) )
=> ( A @ cTorF ) )
& ( ( A @ cTorF )
=> ( ( A = iminus1 )
| ( A = iplus1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(48,axiom,
( ( iT = iminus3 )
| ( iT = iplus2 )
| ( iT = iplus8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_42) ).
thf(312,plain,
( ( iT = iminus3 )
| ( iT = iplus2 )
| ( iT = iplus8 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(21,axiom,
( ( iT = iplus7 )
| ( iT = iminus3 )
| ( iT = iplus8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
thf(233,plain,
( ( iT = iplus7 )
| ( iT = iminus3 )
| ( iT = iplus8 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(26,axiom,
iT @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
thf(248,plain,
iT @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(82,axiom,
iplus9 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_76) ).
thf(380,plain,
iplus9 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(34,axiom,
( ( iT = iminus3 )
| ( iT = iminus4 )
| ( iT = iplus6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).
thf(270,plain,
( ( iT = iminus3 )
| ( iT = iminus4 )
| ( iT = iplus6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(83,axiom,
iT != iF,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_77) ).
thf(381,plain,
iT != iF,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(68,axiom,
iminus4 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_62) ).
thf(366,plain,
iminus4 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(12,axiom,
! [A: $i] :
( ( A @ cTorF )
<=> ( ( A = iminus5 )
| ( A = iplus5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
thf(160,plain,
! [A: $i] :
( ( ( ( A = iminus5 )
| ( A = iplus5 ) )
=> ( A @ cTorF ) )
& ( ( A @ cTorF )
=> ( ( A = iminus5 )
| ( A = iplus5 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(43,axiom,
( ( iT = iminus1 )
| ( iT = iplus4 )
| ( iT = iplus2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_37) ).
thf(297,plain,
( ( iT = iminus1 )
| ( iT = iplus4 )
| ( iT = iplus2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( ( A @ cowlThing )
& ( A = B ) )
=> ( B @ cowlThing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cowlThing_substitution_1) ).
thf(92,plain,
! [A: $i,B: $i] :
( ( ( A @ cowlThing )
& ( A = B ) )
=> ( B @ cowlThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(28,axiom,
( ( iT = iplus4 )
| ( iT = iplus6 )
| ( iT = iplus3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
thf(252,plain,
( ( iT = iplus4 )
| ( iT = iplus6 )
| ( iT = iplus3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(52,axiom,
( ( iT = iplus4 )
| ( iT = iplus9 )
| ( iT = iplus3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_46) ).
thf(324,plain,
( ( iT = iplus4 )
| ( iT = iplus9 )
| ( iT = iplus3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(39,axiom,
( ( iT = iplus4 )
| ( iT = iplus6 )
| ( iT = iminus5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_33) ).
thf(285,plain,
( ( iT = iplus4 )
| ( iT = iplus6 )
| ( iT = iminus5 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(57,axiom,
( ( iT = iplus9 )
| ( iT = iminus2 )
| ( iT = iplus6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_51) ).
thf(339,plain,
( ( iT = iplus9 )
| ( iT = iminus2 )
| ( iT = iplus6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(15,axiom,
! [A: $i] :
( ( A @ cTorF )
<=> ( ( A = iminus8 )
| ( A = iplus8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
thf(193,plain,
! [A: $i] :
( ( ( ( A = iminus8 )
| ( A = iplus8 ) )
=> ( A @ cTorF ) )
& ( ( A @ cTorF )
=> ( ( A = iminus8 )
| ( A = iplus8 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( ( A @ xsd_integer )
& ( A = B ) )
=> ( B @ xsd_integer ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xsd_integer_substitution_1) ).
thf(96,plain,
! [A: $i,B: $i] :
( ( ( A @ xsd_integer )
& ( A = B ) )
=> ( B @ xsd_integer ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(32,axiom,
( ( iT = iminus2 )
| ( iT = iminus9 )
| ( iT = iplus3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).
thf(264,plain,
( ( iT = iminus2 )
| ( iT = iminus9 )
| ( iT = iplus3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(37,axiom,
( ( iT = iminus4 )
| ( iT = iplus2 )
| ( iT = iplus8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).
thf(279,plain,
( ( iT = iminus4 )
| ( iT = iplus2 )
| ( iT = iplus8 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(11,axiom,
! [A: $i] :
( ( A @ cTorF )
<=> ( ( A = iminus7 )
| ( A = iplus7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
thf(149,plain,
! [A: $i] :
( ( ( ( A = iminus7 )
| ( A = iplus7 ) )
=> ( A @ cTorF ) )
& ( ( A @ cTorF )
=> ( ( A = iminus7 )
| ( A = iplus7 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(77,axiom,
iplus4 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_71) ).
thf(375,plain,
iplus4 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(41,axiom,
( ( iT = iminus2 )
| ( iT = iminus9 )
| ( iT = iminus5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_35) ).
thf(291,plain,
( ( iT = iminus2 )
| ( iT = iminus9 )
| ( iT = iminus5 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(16,axiom,
! [A: $i] :
( ( A @ cTorF )
<=> ( ( A = iplus6 )
| ( A = iminus6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
thf(204,plain,
! [A: $i] :
( ( ( ( A = iplus6 )
| ( A = iminus6 ) )
=> ( A @ cTorF ) )
& ( ( A @ cTorF )
=> ( ( A = iplus6 )
| ( A = iminus6 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(79,axiom,
iplus6 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_73) ).
thf(377,plain,
iplus6 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(20,axiom,
( ( iT = iminus7 )
| ( iT = iplus9 )
| ( iT = iminus6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
thf(230,plain,
( ( iT = iminus7 )
| ( iT = iplus9 )
| ( iT = iminus6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(25,axiom,
( ( iT = iplus1 )
| ( iT = iminus6 )
| ( iT = iminus9 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
thf(245,plain,
( ( iT = iplus1 )
| ( iT = iminus6 )
| ( iT = iminus9 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(50,axiom,
( ( iT = iminus7 )
| ( iT = iplus3 )
| ( iT = iplus8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_44) ).
thf(318,plain,
( ( iT = iminus7 )
| ( iT = iplus3 )
| ( iT = iplus8 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(45,axiom,
( ( iT = iminus4 )
| ( iT = iplus6 )
| ( iT = iplus3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_39) ).
thf(303,plain,
( ( iT = iminus4 )
| ( iT = iplus6 )
| ( iT = iplus3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(54,axiom,
( ( iT = iplus7 )
| ( iT = iminus2 )
| ( iT = iminus9 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_48) ).
thf(330,plain,
( ( iT = iplus7 )
| ( iT = iminus2 )
| ( iT = iminus9 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(59,axiom,
( ( iT = iminus1 )
| ( iT = iminus4 )
| ( iT = iplus6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_53) ).
thf(345,plain,
( ( iT = iminus1 )
| ( iT = iminus4 )
| ( iT = iplus6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(69,axiom,
iminus5 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_63) ).
thf(367,plain,
iminus5 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(46,axiom,
( ( iT = iminus4 )
| ( iT = iminus9 )
| ( iT = iminus8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_40) ).
thf(306,plain,
( ( iT = iminus4 )
| ( iT = iminus9 )
| ( iT = iminus8 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(18,axiom,
iF @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
thf(226,plain,
iF @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(33,axiom,
( ( iT = iminus7 )
| ( iT = iminus2 )
| ( iT = iplus6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).
thf(267,plain,
( ( iT = iminus7 )
| ( iT = iminus2 )
| ( iT = iplus6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(76,axiom,
iplus3 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_70) ).
thf(374,plain,
iplus3 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(29,axiom,
( ( iT = iplus4 )
| ( iT = iplus7 )
| ( iT = iplus1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_23) ).
thf(255,plain,
( ( iT = iplus4 )
| ( iT = iplus7 )
| ( iT = iplus1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(58,axiom,
( ( iT = iminus4 )
| ( iT = iplus1 )
| ( iT = iplus2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_52) ).
thf(342,plain,
( ( iT = iminus4 )
| ( iT = iplus1 )
| ( iT = iplus2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(38,axiom,
( ( iT = iplus9 )
| ( iT = iminus4 )
| ( iT = iplus5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_32) ).
thf(282,plain,
( ( iT = iplus9 )
| ( iT = iminus4 )
| ( iT = iplus5 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(53,axiom,
( ( iT = iminus7 )
| ( iT = iplus6 )
| ( iT = iminus8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_47) ).
thf(327,plain,
( ( iT = iminus7 )
| ( iT = iplus6 )
| ( iT = iminus8 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(14,axiom,
! [A: $i] :
( ( A @ cTorF )
<=> ( ( A = iF )
| ( A = iT ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
thf(182,plain,
! [A: $i] :
( ( ( ( A = iF )
| ( A = iT ) )
=> ( A @ cTorF ) )
& ( ( A @ cTorF )
=> ( ( A = iF )
| ( A = iT ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(72,axiom,
iminus8 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_66) ).
thf(370,plain,
iminus8 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(9,axiom,
! [A: $i] :
( ( A @ cTorF )
<=> ( ( A = iplus4 )
| ( A = iminus4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
thf(127,plain,
! [A: $i] :
( ( ( ( A = iplus4 )
| ( A = iminus4 ) )
=> ( A @ cTorF ) )
& ( ( A @ cTorF )
=> ( ( A = iplus4 )
| ( A = iminus4 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(65,axiom,
iminus1 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_59) ).
thf(363,plain,
iminus1 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(6,axiom,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
thf(104,plain,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(70,axiom,
iminus6 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_64) ).
thf(368,plain,
iminus6 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(30,axiom,
( ( iT = iminus2 )
| ( iT = iminus8 )
| ( iT = iplus3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).
thf(258,plain,
( ( iT = iminus2 )
| ( iT = iminus8 )
| ( iT = iplus3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(61,axiom,
( ( iT = iplus9 )
| ( iT = iplus2 )
| ( iT = iplus5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_55) ).
thf(351,plain,
( ( iT = iplus9 )
| ( iT = iplus2 )
| ( iT = iplus5 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(13,axiom,
! [A: $i] :
( ( A @ cTorF )
<=> ( ( A = iminus3 )
| ( A = iplus3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
thf(171,plain,
! [A: $i] :
( ( ( ( A = iminus3 )
| ( A = iplus3 ) )
=> ( A @ cTorF ) )
& ( ( A @ cTorF )
=> ( ( A = iminus3 )
| ( A = iplus3 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(44,axiom,
( ( iT = iminus3 )
| ( iT = iplus1 )
| ( iT = iminus2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_38) ).
thf(300,plain,
( ( iT = iminus3 )
| ( iT = iplus1 )
| ( iT = iminus2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(49,axiom,
( ( iT = iplus9 )
| ( iT = iminus8 )
| ( iT = iplus3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_43) ).
thf(315,plain,
( ( iT = iplus9 )
| ( iT = iminus8 )
| ( iT = iplus3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(35,axiom,
( ( iT = iminus4 )
| ( iT = iplus1 )
| ( iT = iminus6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).
thf(273,plain,
( ( iT = iminus4 )
| ( iT = iplus1 )
| ( iT = iminus6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(75,axiom,
iplus2 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_69) ).
thf(373,plain,
iplus2 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(42,axiom,
( ( iT = iminus7 )
| ( iT = iminus3 )
| ( iT = iminus4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_36) ).
thf(294,plain,
( ( iT = iminus7 )
| ( iT = iminus3 )
| ( iT = iminus4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(23,axiom,
( ( iT = iplus9 )
| ( iT = iplus1 )
| ( iT = iminus6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
thf(239,plain,
( ( iT = iplus9 )
| ( iT = iplus1 )
| ( iT = iminus6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(24,axiom,
( ( iT = iplus4 )
| ( iT = iminus9 )
| ( iT = iplus3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
thf(242,plain,
( ( iT = iplus4 )
| ( iT = iminus9 )
| ( iT = iplus3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(19,axiom,
( ( iT = iplus1 )
| ( iT = iplus2 )
| ( iT = iminus6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
thf(227,plain,
( ( iT = iplus1 )
| ( iT = iplus2 )
| ( iT = iminus6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(62,axiom,
( ( iT = iplus4 )
| ( iT = iminus2 )
| ( iT = iminus6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_56) ).
thf(354,plain,
( ( iT = iplus4 )
| ( iT = iminus2 )
| ( iT = iminus6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(47,axiom,
( ( iT = iplus4 )
| ( iT = iplus1 )
| ( iT = iplus3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_41) ).
thf(309,plain,
( ( iT = iplus4 )
| ( iT = iplus1 )
| ( iT = iplus3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(17,axiom,
! [A: $i] :
( ( A @ cTorF )
<=> ( ( A = iplus9 )
| ( A = iminus9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
thf(215,plain,
! [A: $i] :
( ( ( ( A = iplus9 )
| ( A = iminus9 ) )
=> ( A @ cTorF ) )
& ( ( A @ cTorF )
=> ( ( A = iplus9 )
| ( A = iminus9 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(66,axiom,
iminus2 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_60) ).
thf(364,plain,
iminus2 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( ( A @ xsd_string )
& ( A = B ) )
=> ( B @ xsd_string ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xsd_string_substitution_1) ).
thf(100,plain,
! [A: $i,B: $i] :
( ( ( A @ xsd_string )
& ( A = B ) )
=> ( B @ xsd_string ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(1290,plain,
$false,
inference(e,[status(thm)],[288,261,371,360,236,336,378,369,88,365,138,333,249,276,379,372,110,357,321,376,348,84,116,312,233,248,380,270,381,366,160,297,92,252,324,285,339,193,96,264,279,149,375,291,204,377,230,245,318,303,330,345,367,306,226,267,374,255,342,282,327,182,370,127,363,104,368,258,351,171,300,315,273,373,294,239,242,227,354,309,215,364,100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : KRS102+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.11 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.21/0.46 % Computer : n008.cluster.edu
% 0.21/0.46 % Model : x86_64 x86_64
% 0.21/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.46 % Memory : 8046.5625MB
% 0.21/0.46 % OS : Linux 6.8.0-71-generic
% 0.21/0.46 % CPULimit : 300
% 0.21/0.46 % WCLimit : 300
% 0.21/0.46 % DateTime : Fri Sep 25 19:40:09 UTC 2026
% 0.24/0.46 % CPUTime :
% 0.24/0.46 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 1.01/0.92 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.33/1.12 % [INFO] Parsing done (196ms).
% 1.33/1.13 % [INFO] Running in sequential loop mode.
% 2.51/1.53 % [INFO] eprover registered as external prover.
% 2.51/1.54 % [INFO] Scanning for conjecture ...
% 2.67/1.63 % [INFO] 83 axioms and no conjecture found.
% 2.88/1.78 % [INFO] Problem is first-order (TPTP FOF).
% 3.11/1.80 % [INFO] Type checking passed.
% 3.11/1.81 % [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 ...
% 12.58/4.31 % External prover 'e' found a proof!
% 12.58/4.31 % [INFO] Killing All external provers ...
% 12.58/4.31 % Time passed: 3717ms (effective reasoning time: 3173ms)
% 12.58/4.31 % Axioms used in derivation (83): axiom_2, axiom_54, axiom_53, axiom_17, axiom_75, axiom_7, axiom_26, cowlNothing_substitution_1, axiom_55, axiom_33, axiom_10, axiom_40, axiom_22, axiom_59, axiom_77, axiom_44, axiom_49, axiom_15, axiom_73, axiom_67, axiom_69, axiom_51, axiom_21, axiom_19, axiom_63, axiom_38, xsd_string_substitution_1, axiom_43, axiom_27, axiom_32, axiom_6, axiom_60, cowlThing_substitution_1, axiom_64, axiom_16, axiom_50, axiom_74, axiom_3, axiom_68, axiom_46, axiom_20, axiom_70, axiom_42, axiom_31, axiom_24, axiom_1, xsd_integer_substitution_1, axiom_57, axiom_61, axiom_35, axiom_28, axiom_36, axiom_39, axiom_71, axiom_8, cTorF_substitution_1, axiom_65, axiom_5, axiom_47, axiom_13, axiom_41, axiom_25, axiom_76, axiom_52, axiom_34, axiom_0, axiom_58, axiom_62, axiom_45, axiom_29, axiom_11, axiom_56, axiom_30, axiom_23, axiom_18, axiom_12, axiom_9, axiom_48, axiom_14, axiom_72, axiom_4, axiom_66, axiom_37
% 12.58/4.31 % No. of inferences in proof: 167
% 12.58/4.31 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 3717 ms resp. 3173 ms w/o parsing
% 12.58/4.37 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 12.58/4.38 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------