TSTP Solution File: KRS098+1 by Leo-III---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : KRS098+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n017.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 07:51:52 EDT 2024
% Result : Unsatisfiable 4.05s 1.95s
% Output : Refutation 4.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 57
% Syntax : Number of formulae : 97 ( 3 unt; 18 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 : 25 ( 25 >; 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_type,type,
cUnsatisfiable: $i > $o ).
thf(ca_type,type,
ca: $i > $o ).
thf(cc_type,type,
cc: $i > $o ).
thf(cd_type,type,
cd: $i > $o ).
thf(ce_type,type,
ce: $i > $o ).
thf(cowlNothing_type,type,
cowlNothing: $i > $o ).
thf(cowlThing_type,type,
cowlThing: $i > $o ).
thf(rr_type,type,
rr: $i > $i > $o ).
thf(rr1_type,type,
rr1: $i > $i > $o ).
thf(rr2_type,type,
rr2: $i > $i > $o ).
thf(rr3_type,type,
rr3: $i > $i > $o ).
thf(rt1_type,type,
rt1: $i > $i > $o ).
thf(rt2_type,type,
rt2: $i > $i > $o ).
thf(rt3_type,type,
rt3: $i > $i > $o ).
thf(rtt_type,type,
rtt: $i > $i > $o ).
thf(xsd_integer_type,type,
xsd_integer: $i > $o ).
thf(xsd_string_type,type,
xsd_string: $i > $o ).
thf(i2003_11_14_17_20_25524_type,type,
i2003_11_14_17_20_25524: $i ).
thf(13,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr2 @ C @ A ) )
=> ( rr2 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr2_substitution_2) ).
thf(88,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr2 @ C @ A ) )
=> ( rr2 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( ce @ A ) )
=> ( ce @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ce_substitution_1) ).
thf(56,plain,
! [A: $i,B: $i] :
( ( ( A = B )
& ( ce @ A ) )
=> ( ce @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cd @ A ) )
=> ( cd @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cd_substitution_1) ).
thf(52,plain,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cd @ A ) )
=> ( cd @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlNothing @ A ) )
=> ( cowlNothing @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlNothing_substitution_1) ).
thf(60,plain,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlNothing @ A ) )
=> ( cowlNothing @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(14,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr3 @ A @ C ) )
=> ( rr3 @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr3_substitution_1) ).
thf(92,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr3 @ A @ C ) )
=> ( rr3 @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(23,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rtt @ C @ A ) )
=> ( rtt @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rtt_substitution_2) ).
thf(128,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rtt @ C @ A ) )
=> ( rtt @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlThing @ A ) )
=> ( cowlThing @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlThing_substitution_1) ).
thf(64,plain,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlThing @ A ) )
=> ( cowlThing @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(2,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( ca @ A ) )
=> ( ca @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ca_substitution_1) ).
thf(44,plain,
! [A: $i,B: $i] :
( ( ( A = B )
& ( ca @ A ) )
=> ( ca @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr @ C @ A ) )
=> ( rr @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr_substitution_2) ).
thf(72,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr @ C @ A ) )
=> ( rr @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(17,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rt1 @ C @ A ) )
=> ( rt1 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rt1_substitution_2) ).
thf(104,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rt1 @ C @ A ) )
=> ( rt1 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(1,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cUnsatisfiable @ A ) )
=> ( cUnsatisfiable @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cUnsatisfiable_substitution_1) ).
thf(40,plain,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cUnsatisfiable @ A ) )
=> ( cUnsatisfiable @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(25,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_string @ A ) )
=> ( xsd_string @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xsd_string_substitution_1) ).
thf(136,plain,
! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_string @ A ) )
=> ( xsd_string @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(34,axiom,
! [A: $i,B: $i] :
( ( rr1 @ A @ B )
=> ( rr @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
thf(217,plain,
! [A: $i,B: $i] :
( ( rr1 @ A @ B )
=> ( rr @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(21,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rt3 @ C @ A ) )
=> ( rt3 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rt3_substitution_2) ).
thf(120,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rt3 @ C @ A ) )
=> ( rt3 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(32,axiom,
! [A: $i] :
~ ( ( ce @ A )
& ( cc @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
thf(211,plain,
! [A: $i] :
~ ( ( ce @ A )
& ( cc @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr2 @ A @ C ) )
=> ( rr2 @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr2_substitution_1) ).
thf(84,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr2 @ A @ C ) )
=> ( rr2 @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(36,axiom,
! [A: $i,B: $i] :
( ( rt1 @ A @ B )
=> ( rtt @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
thf(221,plain,
! [A: $i,B: $i] :
( ( rt1 @ A @ B )
=> ( rtt @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(24,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_integer @ A ) )
=> ( xsd_integer @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xsd_integer_substitution_1) ).
thf(132,plain,
! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_integer @ A ) )
=> ( xsd_integer @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(20,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rt3 @ A @ C ) )
=> ( rt3 @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rt3_substitution_1) ).
thf(116,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rt3 @ A @ C ) )
=> ( rt3 @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(15,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr3 @ C @ A ) )
=> ( rr3 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr3_substitution_2) ).
thf(96,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr3 @ C @ A ) )
=> ( rr3 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(22,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rtt @ A @ C ) )
=> ( rtt @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rtt_substitution_1) ).
thf(124,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rtt @ A @ C ) )
=> ( rtt @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(38,axiom,
! [A: $i,B: $i] :
( ( rr3 @ A @ B )
=> ( rr @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
thf(225,plain,
! [A: $i,B: $i] :
( ( rr3 @ A @ B )
=> ( rr @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(35,axiom,
! [A: $i,B: $i] :
( ( rr2 @ A @ B )
=> ( rr @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
thf(219,plain,
! [A: $i,B: $i] :
( ( rr2 @ A @ B )
=> ( rr @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(10,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr1 @ A @ C ) )
=> ( rr1 @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr1_substitution_1) ).
thf(76,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr1 @ A @ C ) )
=> ( rr1 @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(31,axiom,
! [A: $i] :
~ ( ( cc @ A )
& ( cd @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(208,plain,
! [A: $i] :
~ ( ( cc @ A )
& ( cd @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(26,axiom,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(140,plain,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(18,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rt2 @ A @ C ) )
=> ( rt2 @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rt2_substitution_1) ).
thf(108,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rt2 @ A @ C ) )
=> ( rt2 @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(37,axiom,
! [A: $i,B: $i] :
( ( rt2 @ A @ B )
=> ( rtt @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
thf(223,plain,
! [A: $i,B: $i] :
( ( rt2 @ A @ B )
=> ( rtt @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(11,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr1 @ C @ A ) )
=> ( rr1 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr1_substitution_2) ).
thf(80,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr1 @ C @ A ) )
=> ( rr1 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(19,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rt2 @ C @ A ) )
=> ( rt2 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rt2_substitution_2) ).
thf(112,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rt2 @ C @ A ) )
=> ( rt2 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(27,axiom,
! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(145,plain,
! [A: $i] :
( ( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cc @ A ) )
=> ( cc @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc_substitution_1) ).
thf(48,plain,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cc @ A ) )
=> ( cc @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(28,axiom,
! [A: $i] :
( ( cUnsatisfiable @ A )
<=> ( ? [B: $i] :
( ( rr3 @ A @ B )
& ? [C: $i] :
( ( rt3 @ B @ C )
& ( ce @ C ) )
& ! [C: $i,D: $i] :
( ( ( rtt @ B @ C )
& ( rtt @ B @ D ) )
=> ( C = D ) ) )
& ? [B: $i] :
( ( rr2 @ A @ B )
& ! [C: $i,D: $i] :
( ( ( rtt @ B @ C )
& ( rtt @ B @ D ) )
=> ( C = D ) )
& ? [C: $i] :
( ( rt2 @ B @ C )
& ( cd @ C ) ) )
& ~ ? [B: $i,C: $i] :
( ( rr @ A @ B )
& ( rr @ A @ C )
& ( B != C ) )
& ? [B: $i] :
( ( rr1 @ A @ B )
& ! [C: $i,D: $i] :
( ( ( rtt @ B @ C )
& ( rtt @ B @ D ) )
=> ( C = D ) )
& ? [C: $i] :
( ( rt1 @ B @ C )
& ( cc @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(150,plain,
! [A: $i] :
( ( ( cUnsatisfiable @ A )
=> ( ? [B: $i] :
( ( rr3 @ A @ B )
& ? [C: $i] :
( ( rt3 @ B @ C )
& ( ce @ C ) )
& ! [C: $i,D: $i] :
( ( ( rtt @ B @ C )
& ( rtt @ B @ D ) )
=> ( C = D ) ) )
& ? [B: $i] :
( ( rr2 @ A @ B )
& ! [C: $i,D: $i] :
( ( ( rtt @ B @ C )
& ( rtt @ B @ D ) )
=> ( C = D ) )
& ? [C: $i] :
( ( rt2 @ B @ C )
& ( cd @ C ) ) )
& ~ ? [B: $i,C: $i] :
( ( rr @ A @ B )
& ( rr @ A @ C )
& ( B != C ) )
& ? [B: $i] :
( ( rr1 @ A @ B )
& ! [C: $i,D: $i] :
( ( ( rtt @ B @ C )
& ( rtt @ B @ D ) )
=> ( C = D ) )
& ? [C: $i] :
( ( rt1 @ B @ C )
& ( cc @ C ) ) ) ) )
& ( ( ? [B: $i] :
( ( rr3 @ A @ B )
& ? [C: $i] :
( ( rt3 @ B @ C )
& ( ce @ C ) )
& ! [C: $i,D: $i] :
( ( ( rtt @ B @ C )
& ( rtt @ B @ D ) )
=> ( C = D ) ) )
& ? [B: $i] :
( ( rr2 @ A @ B )
& ! [C: $i,D: $i] :
( ( ( rtt @ B @ C )
& ( rtt @ B @ D ) )
=> ( C = D ) )
& ? [C: $i] :
( ( rt2 @ B @ C )
& ( cd @ C ) ) )
& ~ ? [B: $i,C: $i] :
( ( rr @ A @ B )
& ( rr @ A @ C )
& ( B != C ) )
& ? [B: $i] :
( ( rr1 @ A @ B )
& ! [C: $i,D: $i] :
( ( ( rtt @ B @ C )
& ( rtt @ B @ D ) )
=> ( C = D ) )
& ? [C: $i] :
( ( rt1 @ B @ C )
& ( cc @ C ) ) ) )
=> ( cUnsatisfiable @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(30,axiom,
cUnsatisfiable @ i2003_11_14_17_20_25524,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(207,plain,
cUnsatisfiable @ i2003_11_14_17_20_25524,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(33,axiom,
! [A: $i] :
~ ( ( ce @ A )
& ( cd @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
thf(214,plain,
! [A: $i] :
~ ( ( ce @ A )
& ( cd @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(29,axiom,
! [A: $i] :
( ( ca @ A )
<=> ( ( cc @ A )
| ( cd @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(200,plain,
! [A: $i] :
( ( ( ca @ A )
=> ( ( cc @ A )
| ( cd @ A ) ) )
& ( ( ( cc @ A )
| ( cd @ A ) )
=> ( ca @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr @ A @ C ) )
=> ( rr @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr_substitution_1) ).
thf(68,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr @ A @ C ) )
=> ( rr @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(39,axiom,
! [A: $i,B: $i] :
( ( rt3 @ A @ B )
=> ( rtt @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
thf(227,plain,
! [A: $i,B: $i] :
( ( rt3 @ A @ B )
=> ( rtt @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(16,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rt1 @ A @ C ) )
=> ( rt1 @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rt1_substitution_1) ).
thf(100,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rt1 @ A @ C ) )
=> ( rt1 @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(229,plain,
$false,
inference(e,[status(thm)],[88,56,52,60,92,128,64,44,72,104,40,136,217,120,211,84,221,132,116,96,124,225,219,76,208,140,108,223,80,112,145,48,150,207,214,200,68,227,100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS098+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n017.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 15:20:39 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.83/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.23/0.98 % [INFO] Parsing done (128ms).
% 1.23/0.98 % [INFO] Running in sequential loop mode.
% 1.80/1.19 % [INFO] eprover registered as external prover.
% 1.80/1.19 % [INFO] cvc4 registered as external prover.
% 1.80/1.20 % [INFO] Scanning for conjecture ...
% 1.89/1.23 % [INFO] 39 axioms and no conjecture found.
% 1.97/1.30 % [INFO] Problem is first-order (TPTP FOF).
% 1.97/1.31 % [INFO] Type checking passed.
% 1.97/1.31 % [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 ...
% 4.05/1.95 % External prover 'e' found a proof!
% 4.05/1.95 % [INFO] Killing All external provers ...
% 4.05/1.95 % Time passed: 1427ms (effective reasoning time: 959ms)
% 4.05/1.95 % 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
% 4.05/1.95 % No. of inferences in proof: 79
% 4.05/1.95 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1427 ms resp. 959 ms w/o parsing
% 4.49/2.00 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.49/2.00 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------