%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : KRS098+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 : n004.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 07:44:38 AM UTC 2026
% Result : Unsatisfiable 5.13s 2.89s
% Output : Refutation 5.52s
% 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 : 274 ( 62 equ; 0 cnn)
% Maximal formula atoms : 44 ( 3 avg)
% Number of connectives : 553 ( 17 ~; 3 |; 112 &; 341 @)
% ( 3 <=>; 77 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 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 : 212 ( 0 ^; 188 !; 24 ?; 212 :)
% Comments :
%------------------------------------------------------------------------------
thf(cUnsatisfiable_decl,type,
cUnsatisfiable: $i > $o ).
thf(ca_decl,type,
ca: $i > $o ).
thf(cc_decl,type,
cc: $i > $o ).
thf(cd_decl,type,
cd: $i > $o ).
thf(ce_decl,type,
ce: $i > $o ).
thf(cowlNothing_decl,type,
cowlNothing: $i > $o ).
thf(cowlThing_decl,type,
cowlThing: $i > $o ).
thf(rr_decl,type,
rr: $i > $i > $o ).
thf(rr1_decl,type,
rr1: $i > $i > $o ).
thf(rr2_decl,type,
rr2: $i > $i > $o ).
thf(rr3_decl,type,
rr3: $i > $i > $o ).
thf(rt1_decl,type,
rt1: $i > $i > $o ).
thf(rt2_decl,type,
rt2: $i > $i > $o ).
thf(rt3_decl,type,
rt3: $i > $i > $o ).
thf(rtt_decl,type,
rtt: $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_20_25524_decl,type,
i2003_11_14_17_20_25524: $i ).
thf(13,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rr2 ) )
& ( A = B ) )
=> ( B @ ( C @ rr2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr2_substitution_2) ).
thf(88,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rr2 ) )
& ( A = B ) )
=> ( B @ ( C @ rr2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(21,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rt3 ) )
& ( A = B ) )
=> ( B @ ( C @ rt3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rt3_substitution_2) ).
thf(120,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rt3 ) )
& ( A = B ) )
=> ( B @ ( C @ rt3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( ( A @ ce )
& ( A = B ) )
=> ( B @ ce ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ce_substitution_1) ).
thf(56,plain,
! [A: $i,B: $i] :
( ( ( A @ ce )
& ( A = B ) )
=> ( B @ ce ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( ( A @ cd )
& ( A = B ) )
=> ( B @ cd ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cd_substitution_1) ).
thf(52,plain,
! [A: $i,B: $i] :
( ( ( A @ cd )
& ( A = B ) )
=> ( B @ cd ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(28,axiom,
! [A: $i] :
( ( A @ cUnsatisfiable )
<=> ( ? [B: $i] :
( ? [C: $i] :
( ( C @ cc )
& ( C @ ( B @ rt1 ) ) )
& ! [C: $i,D: $i] :
( ( ( D @ ( B @ rtt ) )
& ( C @ ( B @ rtt ) ) )
=> ( C = D ) )
& ( B @ ( A @ rr1 ) ) )
& ~ ? [B: $i,C: $i] :
( ( B != C )
& ( C @ ( A @ rr ) )
& ( B @ ( A @ rr ) ) )
& ? [B: $i] :
( ? [C: $i] :
( ( C @ cd )
& ( C @ ( B @ rt2 ) ) )
& ! [C: $i,D: $i] :
( ( ( D @ ( B @ rtt ) )
& ( C @ ( B @ rtt ) ) )
=> ( C = D ) )
& ( B @ ( A @ rr2 ) ) )
& ? [B: $i] :
( ! [C: $i,D: $i] :
( ( ( D @ ( B @ rtt ) )
& ( C @ ( B @ rtt ) ) )
=> ( C = D ) )
& ? [C: $i] :
( ( C @ ce )
& ( C @ ( B @ rt3 ) ) )
& ( B @ ( A @ rr3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(152,plain,
! [A: $i] :
( ( ( ? [B: $i] :
( ? [C: $i] :
( ( C @ cc )
& ( C @ ( B @ rt1 ) ) )
& ! [C: $i,D: $i] :
( ( ( D @ ( B @ rtt ) )
& ( C @ ( B @ rtt ) ) )
=> ( C = D ) )
& ( B @ ( A @ rr1 ) ) )
& ~ ? [B: $i,C: $i] :
( ( B != C )
& ( C @ ( A @ rr ) )
& ( B @ ( A @ rr ) ) )
& ? [B: $i] :
( ? [C: $i] :
( ( C @ cd )
& ( C @ ( B @ rt2 ) ) )
& ! [C: $i,D: $i] :
( ( ( D @ ( B @ rtt ) )
& ( C @ ( B @ rtt ) ) )
=> ( C = D ) )
& ( B @ ( A @ rr2 ) ) )
& ? [B: $i] :
( ! [C: $i,D: $i] :
( ( ( D @ ( B @ rtt ) )
& ( C @ ( B @ rtt ) ) )
=> ( C = D ) )
& ? [C: $i] :
( ( C @ ce )
& ( C @ ( B @ rt3 ) ) )
& ( B @ ( A @ rr3 ) ) ) )
=> ( A @ cUnsatisfiable ) )
& ( ( A @ cUnsatisfiable )
=> ( ? [B: $i] :
( ? [C: $i] :
( ( C @ cc )
& ( C @ ( B @ rt1 ) ) )
& ! [C: $i,D: $i] :
( ( ( D @ ( B @ rtt ) )
& ( C @ ( B @ rtt ) ) )
=> ( C = D ) )
& ( B @ ( A @ rr1 ) ) )
& ~ ? [B: $i,C: $i] :
( ( B != C )
& ( C @ ( A @ rr ) )
& ( B @ ( A @ rr ) ) )
& ? [B: $i] :
( ? [C: $i] :
( ( C @ cd )
& ( C @ ( B @ rt2 ) ) )
& ! [C: $i,D: $i] :
( ( ( D @ ( B @ rtt ) )
& ( C @ ( B @ rtt ) ) )
=> ( C = D ) )
& ( B @ ( A @ rr2 ) ) )
& ? [B: $i] :
( ! [C: $i,D: $i] :
( ( ( D @ ( B @ rtt ) )
& ( C @ ( B @ rtt ) ) )
=> ( C = D ) )
& ? [C: $i] :
( ( C @ ce )
& ( C @ ( B @ rt3 ) ) )
& ( B @ ( A @ rr3 ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( ( A @ cowlNothing )
& ( A = B ) )
=> ( B @ cowlNothing ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlNothing_substitution_1) ).
thf(60,plain,
! [A: $i,B: $i] :
( ( ( A @ cowlNothing )
& ( A = B ) )
=> ( B @ cowlNothing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(23,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rtt ) )
& ( A = B ) )
=> ( B @ ( C @ rtt ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rtt_substitution_2) ).
thf(128,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rtt ) )
& ( A = B ) )
=> ( B @ ( C @ rtt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( ( A @ cowlThing )
& ( A = B ) )
=> ( B @ cowlThing ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlThing_substitution_1) ).
thf(64,plain,
! [A: $i,B: $i] :
( ( ( A @ cowlThing )
& ( A = B ) )
=> ( B @ cowlThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(2,axiom,
! [A: $i,B: $i] :
( ( ( A @ ca )
& ( A = B ) )
=> ( B @ ca ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ca_substitution_1) ).
thf(44,plain,
! [A: $i,B: $i] :
( ( ( A @ ca )
& ( A = B ) )
=> ( B @ ca ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(10,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rr1 ) )
& ( A = B ) )
=> ( C @ ( B @ rr1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr1_substitution_1) ).
thf(76,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rr1 ) )
& ( A = B ) )
=> ( C @ ( B @ rr1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(19,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rt2 ) )
& ( A = B ) )
=> ( B @ ( C @ rt2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rt2_substitution_2) ).
thf(112,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rt2 ) )
& ( A = B ) )
=> ( B @ ( C @ rt2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( ( A @ cc )
& ( A = B ) )
=> ( B @ cc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc_substitution_1) ).
thf(48,plain,
! [A: $i,B: $i] :
( ( ( A @ cc )
& ( A = B ) )
=> ( B @ cc ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rr ) )
& ( A = B ) )
=> ( B @ ( C @ rr ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr_substitution_2) ).
thf(72,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rr ) )
& ( A = B ) )
=> ( B @ ( C @ rr ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
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(27,axiom,
! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(146,plain,
! [A: $i] :
( ( ~ ( A @ xsd_integer )
=> ( A @ xsd_string ) )
& ( ( A @ xsd_string )
=> ~ ( A @ xsd_integer ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(25,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(136,plain,
! [A: $i,B: $i] :
( ( ( A @ xsd_string )
& ( A = B ) )
=> ( B @ xsd_string ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rr ) )
& ( A = B ) )
=> ( C @ ( B @ rr ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr_substitution_1) ).
thf(68,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rr ) )
& ( A = B ) )
=> ( C @ ( B @ rr ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(30,axiom,
i2003_11_14_17_20_25524 @ cUnsatisfiable,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(211,plain,
i2003_11_14_17_20_25524 @ cUnsatisfiable,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rr2 ) )
& ( A = B ) )
=> ( C @ ( B @ rr2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr2_substitution_1) ).
thf(84,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rr2 ) )
& ( A = B ) )
=> ( C @ ( B @ rr2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(34,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ rr1 ) )
=> ( B @ ( A @ rr ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
thf(221,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ rr1 ) )
=> ( B @ ( A @ rr ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(24,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(132,plain,
! [A: $i,B: $i] :
( ( ( A @ xsd_integer )
& ( A = B ) )
=> ( B @ xsd_integer ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(20,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rt3 ) )
& ( A = B ) )
=> ( C @ ( B @ rt3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rt3_substitution_1) ).
thf(116,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rt3 ) )
& ( A = B ) )
=> ( C @ ( B @ rt3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(14,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rr3 ) )
& ( A = B ) )
=> ( C @ ( B @ rr3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr3_substitution_1) ).
thf(92,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rr3 ) )
& ( A = B ) )
=> ( C @ ( B @ rr3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(38,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ rr3 ) )
=> ( B @ ( A @ rr ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
thf(229,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ rr3 ) )
=> ( B @ ( A @ rr ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(31,axiom,
! [A: $i] :
~ ( ( A @ cd )
& ( A @ cc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(212,plain,
! [A: $i] :
~ ( ( A @ cd )
& ( A @ cc ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(15,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rr3 ) )
& ( A = B ) )
=> ( B @ ( C @ rr3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr3_substitution_2) ).
thf(96,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rr3 ) )
& ( A = B ) )
=> ( B @ ( C @ rr3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(22,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rtt ) )
& ( A = B ) )
=> ( C @ ( B @ rtt ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rtt_substitution_1) ).
thf(124,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rtt ) )
& ( A = B ) )
=> ( C @ ( B @ rtt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(36,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ rt1 ) )
=> ( B @ ( A @ rtt ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
thf(225,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ rt1 ) )
=> ( B @ ( A @ rtt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(26,axiom,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(140,plain,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(18,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rt2 ) )
& ( A = B ) )
=> ( C @ ( B @ rt2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rt2_substitution_1) ).
thf(108,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rt2 ) )
& ( A = B ) )
=> ( C @ ( B @ rt2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(35,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ rr2 ) )
=> ( B @ ( A @ rr ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
thf(223,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ rr2 ) )
=> ( B @ ( A @ rr ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(11,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rr1 ) )
& ( A = B ) )
=> ( B @ ( C @ rr1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr1_substitution_2) ).
thf(80,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rr1 ) )
& ( A = B ) )
=> ( B @ ( C @ rr1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(39,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ rt3 ) )
=> ( B @ ( A @ rtt ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
thf(231,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ rt3 ) )
=> ( B @ ( A @ rtt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(29,axiom,
! [A: $i] :
( ( A @ ca )
<=> ( ( A @ cd )
| ( A @ cc ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(203,plain,
! [A: $i] :
( ( ( ( A @ cd )
| ( A @ cc ) )
=> ( A @ ca ) )
& ( ( A @ ca )
=> ( ( A @ cd )
| ( A @ cc ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(33,axiom,
! [A: $i] :
~ ( ( A @ cd )
& ( A @ ce ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
thf(218,plain,
! [A: $i] :
~ ( ( A @ cd )
& ( A @ ce ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(17,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rt1 ) )
& ( A = B ) )
=> ( B @ ( C @ rt1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rt1_substitution_2) ).
thf(104,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ rt1 ) )
& ( A = B ) )
=> ( B @ ( C @ rt1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(37,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ rt2 ) )
=> ( B @ ( A @ rtt ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
thf(227,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ rt2 ) )
=> ( B @ ( A @ rtt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(32,axiom,
! [A: $i] :
~ ( ( A @ cc )
& ( A @ ce ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
thf(215,plain,
! [A: $i] :
~ ( ( A @ cc )
& ( A @ ce ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(16,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rt1 ) )
& ( A = B ) )
=> ( C @ ( B @ rt1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rt1_substitution_1) ).
thf(100,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ rt1 ) )
& ( A = B ) )
=> ( C @ ( B @ rt1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(233,plain,
$false,
inference(e,[status(thm)],[88,120,56,52,152,60,128,64,44,76,112,48,72,40,146,136,68,211,84,221,132,116,92,229,212,96,124,225,140,108,223,80,231,203,218,104,227,215,100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS098+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.08 % 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
% 0.13/0.39 % Computer : n004.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Fri Sep 25 19:39:21 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 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
% 0.89/0.98 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.29/1.19 % [INFO] Parsing done (211ms).
% 1.52/1.21 % [INFO] Running in sequential loop mode.
% 2.20/1.62 % [INFO] eprover registered as external prover.
% 2.20/1.63 % [INFO] Scanning for conjecture ...
% 2.20/1.69 % [INFO] 39 axioms and no conjecture found.
% 2.64/1.81 % [INFO] Problem is first-order (TPTP FOF).
% 2.64/1.83 % [INFO] Type checking passed.
% 2.64/1.83 % [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 ...
% 5.13/2.88 % External prover 'e' found a proof!
% 5.13/2.88 % [INFO] Killing All external provers ...
% 5.13/2.88 % Time passed: 2345ms (effective reasoning time: 1669ms)
% 5.13/2.89 % Axioms used in derivation (39): axiom_10, cc_substitution_1, rtt_substitution_1, rr_substitution_1, rt2_substitution_2, axiom_2, xsd_string_substitution_1, rt1_substitution_1, axiom_3, rt3_substitution_2, cUnsatisfiable_substitution_1, rr2_substitution_1, axiom_8, ce_substitution_1, axiom_0, axiom_11, axiom_12, axiom_4, axiom_7, cowlNothing_substitution_1, rr3_substitution_2, rt1_substitution_2, rr1_substitution_2, rt3_substitution_1, axiom_6, rtt_substitution_2, cowlThing_substitution_1, cd_substitution_1, rr1_substitution_1, rt2_substitution_1, axiom_1, xsd_integer_substitution_1, axiom_5, axiom_13, rr3_substitution_1, ca_substitution_1, axiom_9, rr2_substitution_2, rr_substitution_2
% 5.13/2.89 % No. of inferences in proof: 79
% 5.13/2.89 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2345 ms resp. 1669 ms w/o parsing
% 5.52/2.97 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.52/2.97 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------