%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : KRS112+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 : n005.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 07:44:40 AM UTC 2026
% Result : Unsatisfiable 6.88s 3.78s
% Output : Refutation 7.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 39
% Syntax : Number of formulae : 79 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 243 ( 52 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 474 ( 8 ~; 0 |; 78 &; 302 @)
% ( 9 <=>; 77 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 2 con; 0-2 aty)
% Number of variables : 190 ( 0 ^; 175 !; 15 ?; 190 :)
% Comments :
%------------------------------------------------------------------------------
thf(cUnsatisfiable_decl,type,
cUnsatisfiable: $i > $o ).
thf(ca_Ax2_decl,type,
ca_Ax2: $i > $o ).
thf(ca_Vx3_decl,type,
ca_Vx3: $i > $o ).
thf(cowlNothing_decl,type,
cowlNothing: $i > $o ).
thf(cowlThing_decl,type,
cowlThing: $i > $o ).
thf(cp_decl,type,
cp: $i > $o ).
thf(cpxcomp_decl,type,
cpxcomp: $i > $o ).
thf(ra_Px1_decl,type,
ra_Px1: $i > $i > $o ).
thf(rf_decl,type,
rf: $i > $i > $o ).
thf(rf1_decl,type,
rf1: $i > $i > $o ).
thf(rinvF_decl,type,
rinvF: $i > $i > $o ).
thf(rinvF1_decl,type,
rinvF1: $i > $i > $o ).
thf(rinvS_decl,type,
rinvS: $i > $i > $o ).
thf(rs_decl,type,
rs: $i > $i > $o ).
thf(xsd_integer_decl,type,
xsd_integer: $i > $o ).
thf(xsd_string_decl,type,
xsd_string: $i > $o ).
thf(i2003_11_14_17_21_19256_decl,type,
i2003_11_14_17_21_19256: $i ).
thf(21,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rs ) )
& ( A = B ) )
=> ( B @ ( C @ rs ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rs_substitution_2) ).
thf(120,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rs ) )
& ( A = B ) )
=> ( B @ ( C @ rs ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(30,axiom,
! [A: $i] :
( ( A @ ca_Vx3 )
<=> ? [B: $i] :
( ( B @ cowlThing )
& ( B @ ( A @ rs ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
thf(174,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cowlThing )
& ( B @ ( A @ rs ) ) )
=> ( A @ ca_Vx3 ) )
& ( ( A @ ca_Vx3 )
=> ? [B: $i] :
( ( B @ cowlThing )
& ( B @ ( A @ rs ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( ( A @ cp )
& ( A = B ) )
=> ( B @ cp ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp_substitution_1) ).
thf(60,plain,
! [A: $i,B: $i] :
( ( ( A @ cp )
& ( A = B ) )
=> ( B @ cp ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(29,axiom,
! [A: $i] :
( ( A @ ca_Ax2 )
<=> ( ! [B: $i] :
( ( B @ ( A @ rinvF1 ) )
=> ( B @ ca_Vx3 ) )
& ( A @ cpxcomp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(165,plain,
! [A: $i] :
( ( ( ! [B: $i] :
( ( B @ ( A @ rinvF1 ) )
=> ( B @ ca_Vx3 ) )
& ( A @ cpxcomp ) )
=> ( A @ ca_Ax2 ) )
& ( ( A @ ca_Ax2 )
=> ( ! [B: $i] :
( ( B @ ( A @ rinvF1 ) )
=> ( B @ ca_Vx3 ) )
& ( A @ cpxcomp ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(14,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rinvF ) )
& ( A = B ) )
=> ( C @ ( B @ rinvF ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rinvF_substitution_1) ).
thf(92,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rinvF ) )
& ( A = B ) )
=> ( C @ ( B @ rinvF ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( ( A @ cpxcomp )
& ( A = B ) )
=> ( B @ cpxcomp ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cpxcomp_substitution_1) ).
thf(64,plain,
! [A: $i,B: $i] :
( ( ( A @ cpxcomp )
& ( A = B ) )
=> ( B @ cpxcomp ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(2,axiom,
! [A: $i,B: $i] :
( ( ( A @ ca_Ax2 )
& ( A = B ) )
=> ( B @ ca_Ax2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ca_Ax2_substitution_1) ).
thf(44,plain,
! [A: $i,B: $i] :
( ( ( A @ ca_Ax2 )
& ( A = B ) )
=> ( B @ ca_Ax2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(18,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rinvS ) )
& ( A = B ) )
=> ( C @ ( B @ rinvS ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rinvS_substitution_1) ).
thf(108,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rinvS ) )
& ( A = B ) )
=> ( C @ ( B @ rinvS ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(11,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rf ) )
& ( A = B ) )
=> ( B @ ( C @ rf ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rf_substitution_2) ).
thf(80,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rf ) )
& ( A = B ) )
=> ( B @ ( C @ rf ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( ( A @ ca_Vx3 )
& ( A = B ) )
=> ( B @ ca_Vx3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ca_Vx3_substitution_1) ).
thf(48,plain,
! [A: $i,B: $i] :
( ( ( A @ ca_Vx3 )
& ( A = B ) )
=> ( B @ ca_Vx3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(35,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ rinvS ) )
<=> ( A @ ( B @ rs ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
thf(199,plain,
! [A: $i,B: $i] :
( ( ( A @ ( B @ rs ) )
=> ( B @ ( A @ rinvS ) ) )
& ( ( B @ ( A @ rinvS ) )
=> ( A @ ( B @ rs ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ ra_Px1 ) )
& ( A = B ) )
=> ( B @ ( C @ ra_Px1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ra_Px1_substitution_2) ).
thf(72,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ ra_Px1 ) )
& ( A = B ) )
=> ( B @ ( C @ ra_Px1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(17,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rinvF1 ) )
& ( A = B ) )
=> ( B @ ( C @ rinvF1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rinvF1_substitution_2) ).
thf(104,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rinvF1 ) )
& ( A = B ) )
=> ( B @ ( C @ rinvF1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(1,axiom,
! [A: $i,B: $i] :
( ( ( A @ cUnsatisfiable )
& ( A = B ) )
=> ( B @ cUnsatisfiable ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cUnsatisfiable_substitution_1) ).
thf(40,plain,
! [A: $i,B: $i] :
( ( ( A @ cUnsatisfiable )
& ( A = B ) )
=> ( B @ cUnsatisfiable ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ra_Px1 ) )
& ( A = B ) )
=> ( C @ ( B @ ra_Px1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ra_Px1_substitution_1) ).
thf(68,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ra_Px1 ) )
& ( A = B ) )
=> ( C @ ( B @ ra_Px1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(16,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rinvF1 ) )
& ( A = B ) )
=> ( C @ ( B @ rinvF1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rinvF1_substitution_1) ).
thf(100,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rinvF1 ) )
& ( A = B ) )
=> ( C @ ( B @ rinvF1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(25,axiom,
! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(138,plain,
! [A: $i] :
( ( ~ ( A @ xsd_integer )
=> ( A @ xsd_string ) )
& ( ( A @ xsd_string )
=> ~ ( A @ xsd_integer ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(13,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rf1 ) )
& ( A = B ) )
=> ( B @ ( C @ rf1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rf1_substitution_2) ).
thf(88,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rf1 ) )
& ( A = B ) )
=> ( B @ ( C @ rf1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( ( A @ cowlThing )
& ( A = B ) )
=> ( B @ cowlThing ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlThing_substitution_1) ).
thf(56,plain,
! [A: $i,B: $i] :
( ( ( A @ cowlThing )
& ( A = B ) )
=> ( B @ cowlThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(27,axiom,
! [A: $i] :
( ( A @ cp )
<=> ~ ? [B: $i] : ( B @ ( A @ ra_Px1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(153,plain,
! [A: $i] :
( ( ~ ? [B: $i] : ( B @ ( A @ ra_Px1 ) )
=> ( A @ cp ) )
& ( ( A @ cp )
=> ~ ? [B: $i] : ( B @ ( A @ ra_Px1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( ( A @ cowlNothing )
& ( A = B ) )
=> ( B @ cowlNothing ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlNothing_substitution_1) ).
thf(52,plain,
! [A: $i,B: $i] :
( ( ( A @ cowlNothing )
& ( A = B ) )
=> ( B @ cowlNothing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(32,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rf1 ) )
& ( B @ ( A @ rf1 ) ) )
=> ( B = C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
thf(184,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rf1 ) )
& ( B @ ( A @ rf1 ) ) )
=> ( B = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(39,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ rs ) )
=> ( B @ ( A @ rf1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
thf(211,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ rs ) )
=> ( B @ ( A @ rf1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rf1 ) )
& ( A = B ) )
=> ( C @ ( B @ rf1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rf1_substitution_1) ).
thf(84,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rf1 ) )
& ( A = B ) )
=> ( C @ ( B @ rf1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(24,axiom,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(132,plain,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(20,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rs ) )
& ( A = B ) )
=> ( C @ ( B @ rs ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rs_substitution_1) ).
thf(116,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rs ) )
& ( A = B ) )
=> ( C @ ( B @ rs ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(22,axiom,
! [A: $i,B: $i] :
( ( ( A @ xsd_integer )
& ( A = B ) )
=> ( B @ xsd_integer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xsd_integer_substitution_1) ).
thf(124,plain,
! [A: $i,B: $i] :
( ( ( A @ xsd_integer )
& ( A = B ) )
=> ( B @ xsd_integer ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(34,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ rinvF1 ) )
<=> ( A @ ( B @ rf1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
thf(193,plain,
! [A: $i,B: $i] :
( ( ( A @ ( B @ rf1 ) )
=> ( B @ ( A @ rinvF1 ) ) )
& ( ( B @ ( A @ rinvF1 ) )
=> ( A @ ( B @ rf1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(15,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rinvF ) )
& ( A = B ) )
=> ( B @ ( C @ rinvF ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rinvF_substitution_2) ).
thf(96,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rinvF ) )
& ( A = B ) )
=> ( B @ ( C @ rinvF ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(23,axiom,
! [A: $i,B: $i] :
( ( ( A @ xsd_string )
& ( A = B ) )
=> ( B @ xsd_string ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xsd_string_substitution_1) ).
thf(128,plain,
! [A: $i,B: $i] :
( ( ( A @ xsd_string )
& ( A = B ) )
=> ( B @ xsd_string ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(36,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rs ) )
& ( B @ ( A @ rs ) ) )
=> ( B = C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
thf(205,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rs ) )
& ( B @ ( A @ rs ) ) )
=> ( B = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(26,axiom,
! [A: $i] :
( ( A @ cUnsatisfiable )
<=> ( ? [B: $i] :
( ( B @ cp )
& ( B @ ( A @ rf ) ) )
& ? [B: $i] :
( ( B @ ca_Ax2 )
& ( B @ ( A @ rf1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(144,plain,
! [A: $i] :
( ( ( ? [B: $i] :
( ( B @ cp )
& ( B @ ( A @ rf ) ) )
& ? [B: $i] :
( ( B @ ca_Ax2 )
& ( B @ ( A @ rf1 ) ) ) )
=> ( A @ cUnsatisfiable ) )
& ( ( A @ cUnsatisfiable )
=> ( ? [B: $i] :
( ( B @ cp )
& ( B @ ( A @ rf ) ) )
& ? [B: $i] :
( ( B @ ca_Ax2 )
& ( B @ ( A @ rf1 ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(31,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rf ) )
& ( B @ ( A @ rf ) ) )
=> ( B = C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
thf(181,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rf ) )
& ( B @ ( A @ rf ) ) )
=> ( B = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(28,axiom,
! [A: $i] :
( ( A @ cpxcomp )
<=> ? [B: $i] : ( B @ ( A @ ra_Px1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(159,plain,
! [A: $i] :
( ( ? [B: $i] : ( B @ ( A @ ra_Px1 ) )
=> ( A @ cpxcomp ) )
& ( ( A @ cpxcomp )
=> ? [B: $i] : ( B @ ( A @ ra_Px1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(33,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ rinvF ) )
<=> ( A @ ( B @ rf ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
thf(187,plain,
! [A: $i,B: $i] :
( ( ( A @ ( B @ rf ) )
=> ( B @ ( A @ rinvF ) ) )
& ( ( B @ ( A @ rinvF ) )
=> ( A @ ( B @ rf ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(10,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rf ) )
& ( A = B ) )
=> ( C @ ( B @ rf ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rf_substitution_1) ).
thf(76,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rf ) )
& ( A = B ) )
=> ( C @ ( B @ rf ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(37,axiom,
i2003_11_14_17_21_19256 @ cUnsatisfiable,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
thf(208,plain,
i2003_11_14_17_21_19256 @ cUnsatisfiable,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(38,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ rs ) )
=> ( B @ ( A @ rf ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
thf(209,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ rs ) )
=> ( B @ ( A @ rf ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(19,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rinvS ) )
& ( A = B ) )
=> ( B @ ( C @ rinvS ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rinvS_substitution_2) ).
thf(112,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rinvS ) )
& ( A = B ) )
=> ( B @ ( C @ rinvS ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(213,plain,
$false,
inference(e,[status(thm)],[120,174,60,165,92,64,44,108,80,48,199,72,104,40,68,100,138,88,56,153,52,184,211,84,132,116,124,193,96,128,205,144,181,159,187,76,208,209,112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS112+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
% 0.22/0.48 % Computer : n005.cluster.edu
% 0.22/0.48 % Model : x86_64 x86_64
% 0.22/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.48 % Memory : 8046.5625MB
% 0.22/0.48 % OS : Linux 6.8.0-71-generic
% 0.22/0.48 % CPULimit : 300
% 0.22/0.48 % WCLimit : 300
% 0.22/0.48 % DateTime : Fri Sep 25 19:39:32 UTC 2026
% 0.22/0.48 % CPUTime :
% 0.22/0.48 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
% 1.28/1.29 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.80/1.59 % [INFO] Parsing done (301ms).
% 2.08/1.62 % [INFO] Running in sequential loop mode.
% 3.12/2.21 % [INFO] eprover registered as external prover.
% 3.12/2.22 % [INFO] Scanning for conjecture ...
% 3.12/2.30 % [INFO] 39 axioms and no conjecture found.
% 3.51/2.46 % [INFO] Problem is first-order (TPTP FOF).
% 3.51/2.47 % [INFO] Type checking passed.
% 3.51/2.48 % [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 ...
% 6.88/3.78 % External prover 'e' found a proof!
% 6.88/3.78 % [INFO] Killing All external provers ...
% 6.88/3.78 % Time passed: 3095ms (effective reasoning time: 2152ms)
% 6.88/3.78 % Axioms used in derivation (39): axiom_15, rinvF1_substitution_1, ca_Ax2_substitution_1, axiom_2, rinvS_substitution_2, cowlThing_substitution_1, axiom_3, rinvS_substitution_1, axiom_11, rf_substitution_1, axiom_12, axiom_7, cowlNothing_substitution_1, rinvF_substitution_2, axiom_10, cpxcomp_substitution_1, xsd_string_substitution_1, rf1_substitution_2, axiom_6, ra_Px1_substitution_1, ra_Px1_substitution_2, cUnsatisfiable_substitution_1, axiom_1, xsd_integer_substitution_1, rf1_substitution_1, axiom_8, rs_substitution_2, axiom_5, axiom_13, rinvF1_substitution_2, rinvF_substitution_1, rf_substitution_2, axiom_0, axiom_9, rs_substitution_1, axiom_14, cp_substitution_1, ca_Vx3_substitution_1, axiom_4
% 6.88/3.78 % No. of inferences in proof: 79
% 6.88/3.78 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3095 ms resp. 2152 ms w/o parsing
% 7.62/3.91 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.62/3.91 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------