%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : KRS070+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 : n014.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 07:44:34 AM UTC 2026
% Result : Unsatisfiable 4.34s 2.87s
% Output : Refutation 4.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 44
% Syntax : Number of formulae : 89 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 261 ( 64 equ; 0 cnn)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 517 ( 8 ~; 0 |; 86 &; 337 @)
% ( 2 <=>; 84 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 2 con; 0-2 aty)
% Number of variables : 225 ( 0 ^; 216 !; 9 ?; 225 :)
% Comments :
%------------------------------------------------------------------------------
thf(cUnsatisfiable_decl,type,
cUnsatisfiable: $i > $o ).
thf(cc1_decl,type,
cc1: $i > $o ).
thf(cc2_decl,type,
cc2: $i > $o ).
thf(cowlNothing_decl,type,
cowlNothing: $i > $o ).
thf(cowlThing_decl,type,
cowlThing: $i > $o ).
thf(rrx_decl,type,
rrx: $i > $i > $o ).
thf(rrx1_decl,type,
rrx1: $i > $i > $o ).
thf(rrx1a_decl,type,
rrx1a: $i > $i > $o ).
thf(rrx2_decl,type,
rrx2: $i > $i > $o ).
thf(rrx2a_decl,type,
rrx2a: $i > $i > $o ).
thf(rrx3_decl,type,
rrx3: $i > $i > $o ).
thf(rrx3a_decl,type,
rrx3a: $i > $i > $o ).
thf(rrx4_decl,type,
rrx4: $i > $i > $o ).
thf(rrx4a_decl,type,
rrx4a: $i > $i > $o ).
thf(rrxa_decl,type,
rrxa: $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_18_32242_decl,type,
i2003_11_14_17_18_32242: $i ).
thf(28,axiom,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
thf(153,plain,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(33,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rrx3a ) )
& ( B @ ( A @ rrx3a ) ) )
=> ( B = C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
thf(185,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rrx3a ) )
& ( B @ ( A @ rrx3a ) ) )
=> ( B = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(21,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rrx4 ) )
& ( A = B ) )
=> ( B @ ( C @ rrx4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rrx4_substitution_2) ).
thf(125,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rrx4 ) )
& ( A = B ) )
=> ( B @ ( C @ rrx4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(22,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rrx4a ) )
& ( A = B ) )
=> ( C @ ( B @ rrx4a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rrx4a_substitution_1) ).
thf(129,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rrx4a ) )
& ( A = B ) )
=> ( C @ ( B @ rrx4a ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(35,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rrx4a ) )
& ( B @ ( A @ rrx4a ) ) )
=> ( B = C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
thf(191,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rrx4a ) )
& ( B @ ( A @ rrx4a ) ) )
=> ( B = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(41,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ rrx3a ) )
=> ( B @ ( A @ rrx1a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
thf(203,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ rrx3a ) )
=> ( B @ ( A @ rrx1a ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(43,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ rrx3 ) )
=> ( B @ ( A @ rrx1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
thf(207,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ rrx3 ) )
=> ( B @ ( A @ rrx1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(37,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ rrx3 ) )
=> ( B @ ( A @ rrx ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
thf(195,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ rrx3 ) )
=> ( B @ ( A @ rrx ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rrx ) )
& ( A = B ) )
=> ( B @ ( C @ rrx ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rrx_substitution_2) ).
thf(69,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rrx ) )
& ( A = B ) )
=> ( B @ ( C @ rrx ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(15,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rrx2a ) )
& ( A = B ) )
=> ( B @ ( C @ rrx2a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rrx2a_substitution_2) ).
thf(101,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rrx2a ) )
& ( A = B ) )
=> ( B @ ( C @ rrx2a ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(13,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rrx2 ) )
& ( A = B ) )
=> ( B @ ( C @ rrx2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rrx2_substitution_2) ).
thf(93,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rrx2 ) )
& ( A = B ) )
=> ( B @ ( C @ rrx2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( ( A @ cowlNothing )
& ( A = B ) )
=> ( B @ cowlNothing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cowlNothing_substitution_1) ).
thf(57,plain,
! [A: $i,B: $i] :
( ( ( A @ cowlNothing )
& ( A = B ) )
=> ( B @ cowlNothing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(31,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rrx ) )
& ( B @ ( A @ rrx ) ) )
=> ( B = C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
thf(179,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rrx ) )
& ( B @ ( A @ rrx ) ) )
=> ( B = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(20,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rrx4 ) )
& ( A = B ) )
=> ( C @ ( B @ rrx4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rrx4_substitution_1) ).
thf(121,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rrx4 ) )
& ( A = B ) )
=> ( C @ ( B @ rrx4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( ( A @ cowlThing )
& ( A = B ) )
=> ( B @ cowlThing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cowlThing_substitution_1) ).
thf(61,plain,
! [A: $i,B: $i] :
( ( ( A @ cowlThing )
& ( A = B ) )
=> ( B @ cowlThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rrx2 ) )
& ( A = B ) )
=> ( C @ ( B @ rrx2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rrx2_substitution_1) ).
thf(89,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rrx2 ) )
& ( A = B ) )
=> ( C @ ( B @ rrx2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(23,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rrx4a ) )
& ( A = B ) )
=> ( B @ ( C @ rrx4a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rrx4a_substitution_2) ).
thf(133,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rrx4a ) )
& ( A = B ) )
=> ( B @ ( C @ rrx4a ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(19,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rrx3a ) )
& ( A = B ) )
=> ( B @ ( C @ rrx3a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rrx3a_substitution_2) ).
thf(117,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rrx3a ) )
& ( A = B ) )
=> ( B @ ( C @ rrx3a ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(11,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rrx1a ) )
& ( A = B ) )
=> ( B @ ( C @ rrx1a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rrx1a_substitution_2) ).
thf(85,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rrx1a ) )
& ( A = B ) )
=> ( B @ ( C @ rrx1a ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(40,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ rrx4 ) )
=> ( B @ ( A @ rrx2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
thf(201,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ rrx4 ) )
=> ( B @ ( A @ rrx2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(24,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rrxa ) )
& ( A = B ) )
=> ( C @ ( B @ rrxa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rrxa_substitution_1) ).
thf(137,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rrxa ) )
& ( A = B ) )
=> ( C @ ( B @ rrxa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(30,axiom,
! [A: $i] :
( ( A @ cUnsatisfiable )
<=> ( ? [B: $i] :
( ( B @ cc1 )
& ( B @ ( A @ rrx3 ) ) )
& ~ ? [B: $i] :
( ( B @ cc1 )
& ( B @ cc2 )
& ( B @ ( A @ rrx3 ) ) )
& ? [B: $i] :
( ( B @ cc2 )
& ( B @ ( A @ rrx4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(165,plain,
! [A: $i] :
( ( ( ? [B: $i] :
( ( B @ cc1 )
& ( B @ ( A @ rrx3 ) ) )
& ~ ? [B: $i] :
( ( B @ cc1 )
& ( B @ cc2 )
& ( B @ ( A @ rrx3 ) ) )
& ? [B: $i] :
( ( B @ cc2 )
& ( B @ ( A @ rrx4 ) ) ) )
=> ( A @ cUnsatisfiable ) )
& ( ( A @ cUnsatisfiable )
=> ( ? [B: $i] :
( ( B @ cc1 )
& ( B @ ( A @ rrx3 ) ) )
& ~ ? [B: $i] :
( ( B @ cc1 )
& ( B @ cc2 )
& ( B @ ( A @ rrx3 ) ) )
& ? [B: $i] :
( ( B @ cc2 )
& ( B @ ( A @ rrx4 ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(38,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ rrx3a ) )
=> ( B @ ( A @ rrxa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
thf(197,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ rrx3a ) )
=> ( B @ ( A @ rrxa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rrx ) )
& ( A = B ) )
=> ( C @ ( B @ rrx ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rrx_substitution_1) ).
thf(65,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rrx ) )
& ( A = B ) )
=> ( C @ ( B @ rrx ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(14,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rrx2a ) )
& ( A = B ) )
=> ( C @ ( B @ rrx2a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rrx2a_substitution_1) ).
thf(97,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rrx2a ) )
& ( A = B ) )
=> ( C @ ( B @ rrx2a ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(34,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rrx4 ) )
& ( B @ ( A @ rrx4 ) ) )
=> ( B = C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
thf(188,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rrx4 ) )
& ( B @ ( A @ rrx4 ) ) )
=> ( B = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( ( A @ cc2 )
& ( A = B ) )
=> ( B @ cc2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_substitution_1) ).
thf(53,plain,
! [A: $i,B: $i] :
( ( ( A @ cc2 )
& ( A = B ) )
=> ( B @ cc2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(25,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rrxa ) )
& ( A = B ) )
=> ( B @ ( C @ rrxa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rrxa_substitution_2) ).
thf(141,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rrxa ) )
& ( A = B ) )
=> ( B @ ( C @ rrxa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(17,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rrx3 ) )
& ( A = B ) )
=> ( B @ ( C @ rrx3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rrx3_substitution_2) ).
thf(109,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rrx3 ) )
& ( A = B ) )
=> ( B @ ( C @ rrx3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rrx1 ) )
& ( A = B ) )
=> ( B @ ( C @ rrx1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rrx1_substitution_2) ).
thf(77,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rrx1 ) )
& ( A = B ) )
=> ( B @ ( C @ rrx1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rrx1 ) )
& ( A = B ) )
=> ( C @ ( B @ rrx1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rrx1_substitution_1) ).
thf(73,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rrx1 ) )
& ( A = B ) )
=> ( C @ ( B @ rrx1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(16,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rrx3 ) )
& ( A = B ) )
=> ( C @ ( B @ rrx3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rrx3_substitution_1) ).
thf(105,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rrx3 ) )
& ( A = B ) )
=> ( C @ ( B @ rrx3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(42,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ rrx4a ) )
=> ( B @ ( A @ rrx2a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
thf(205,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ rrx4a ) )
=> ( B @ ( A @ rrx2a ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(1,axiom,
! [A: $i,B: $i] :
( ( ( A @ cUnsatisfiable )
& ( A = B ) )
=> ( B @ cUnsatisfiable ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cUnsatisfiable_substitution_1) ).
thf(45,plain,
! [A: $i,B: $i] :
( ( ( A @ cUnsatisfiable )
& ( A = B ) )
=> ( B @ cUnsatisfiable ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(27,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(149,plain,
! [A: $i,B: $i] :
( ( ( A @ xsd_string )
& ( A = B ) )
=> ( B @ xsd_string ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(2,axiom,
! [A: $i,B: $i] :
( ( ( A @ cc1 )
& ( A = B ) )
=> ( B @ cc1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_substitution_1) ).
thf(49,plain,
! [A: $i,B: $i] :
( ( ( A @ cc1 )
& ( A = B ) )
=> ( B @ cc1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(29,axiom,
! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(159,plain,
! [A: $i] :
( ( ~ ( A @ xsd_integer )
=> ( A @ xsd_string ) )
& ( ( A @ xsd_string )
=> ~ ( A @ xsd_integer ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(18,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rrx3a ) )
& ( A = B ) )
=> ( C @ ( B @ rrx3a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rrx3a_substitution_1) ).
thf(113,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rrx3a ) )
& ( A = B ) )
=> ( C @ ( B @ rrx3a ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(10,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rrx1a ) )
& ( A = B ) )
=> ( C @ ( B @ rrx1a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rrx1a_substitution_1) ).
thf(81,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rrx1a ) )
& ( A = B ) )
=> ( C @ ( B @ rrx1a ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(44,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ rrx4 ) )
=> ( B @ ( A @ rrx ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
thf(209,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ rrx4 ) )
=> ( B @ ( A @ rrx ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(36,axiom,
i2003_11_14_17_18_32242 @ cUnsatisfiable,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
thf(194,plain,
i2003_11_14_17_18_32242 @ cUnsatisfiable,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(26,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(145,plain,
! [A: $i,B: $i] :
( ( ( A @ xsd_integer )
& ( A = B ) )
=> ( B @ xsd_integer ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(39,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ rrx4a ) )
=> ( B @ ( A @ rrxa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
thf(199,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ rrx4a ) )
=> ( B @ ( A @ rrxa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(32,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rrx3 ) )
& ( B @ ( A @ rrx3 ) ) )
=> ( B = C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
thf(182,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rrx3 ) )
& ( B @ ( A @ rrx3 ) ) )
=> ( B = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(211,plain,
$false,
inference(e,[status(thm)],[153,185,125,129,191,203,207,195,69,101,93,57,179,121,61,89,133,117,85,201,137,165,197,65,97,188,53,141,109,77,73,105,205,45,149,49,159,113,81,209,194,145,199,182]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS070+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.07 % 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
% 0.13/0.53 % Computer : n014.cluster.edu
% 0.13/0.53 % Model : x86_64 x86_64
% 0.13/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.53 % Memory : 8046.5625MB
% 0.13/0.53 % OS : Linux 6.8.0-71-generic
% 0.13/0.53 % CPULimit : 300
% 0.13/0.53 % WCLimit : 300
% 0.13/0.53 % DateTime : Fri Sep 25 19:37:48 UTC 2026
% 0.13/0.53 % CPUTime :
% 0.13/0.53 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
% 0.88/1.11 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.32/1.33 % [INFO] Parsing done (223ms).
% 1.32/1.35 % [INFO] Running in sequential loop mode.
% 1.99/1.75 % [INFO] eprover registered as external prover.
% 1.99/1.76 % [INFO] Scanning for conjecture ...
% 2.18/1.81 % [INFO] 44 axioms and no conjecture found.
% 2.37/1.93 % [INFO] Problem is first-order (TPTP FOF).
% 2.37/1.94 % [INFO] Type checking passed.
% 2.37/1.95 % [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 ...
% 4.34/2.87 % External prover 'e' found a proof!
% 4.34/2.87 % [INFO] Killing All external provers ...
% 4.34/2.87 % Time passed: 2201ms (effective reasoning time: 1513ms)
% 4.34/2.87 % Axioms used in derivation (44): axiom_10, cc1_substitution_1, rrx_substitution_1, xsd_string_substitution_1, axiom_6, cowlThing_substitution_1, axiom_16, axiom_3, rrx3a_substitution_1, rrx_substitution_2, rrx4_substitution_1, axiom_8, axiom_14, axiom_4, axiom_7, cowlNothing_substitution_1, rrx3_substitution_2, axiom_15, rrx2_substitution_2, rrx3a_substitution_2, axiom_2, rrx4_substitution_2, rrxa_substitution_1, rrx2a_substitution_1, rrx1a_substitution_2, cUnsatisfiable_substitution_1, rrxa_substitution_2, axiom_1, rrx1_substitution_2, xsd_integer_substitution_1, axiom_5, axiom_13, rrx1a_substitution_1, rrx3_substitution_1, rrx2a_substitution_2, axiom_0, axiom_11, rrx4a_substitution_2, rrx2_substitution_1, cc2_substitution_1, rrx4a_substitution_1, axiom_12, axiom_9, rrx1_substitution_1
% 4.34/2.87 % No. of inferences in proof: 89
% 4.34/2.87 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2201 ms resp. 1513 ms w/o parsing
% 4.61/2.97 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.61/2.97 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------