TSTP Solution File: GRP123-7.003 by Leo-III-SAT---1.7.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : GRP123-7.003 : TPTP v8.2.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n020.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 : Mon May 20 21:03:12 EDT 2024
% Result : Unsatisfiable 24.33s 4.87s
% Output : Refutation 24.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 20
% Syntax : Number of formulae : 93 ( 27 unt; 7 typ; 0 def)
% Number of atoms : 234 ( 16 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 745 ( 89 ~; 116 |; 0 &; 540 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 136 ( 0 ^ 136 !; 0 ?; 136 :)
% Comments :
%------------------------------------------------------------------------------
thf(product1_type,type,
product1: $i > $i > $i > $o ).
thf(product2_type,type,
product2: $i > $i > $i > $o ).
thf(group_element_type,type,
group_element: $i > $o ).
thf(e_1_type,type,
e_1: $i ).
thf(equalish_type,type,
equalish: $i > $i > $o ).
thf(e_3_type,type,
e_3: $i ).
thf(e_2_type,type,
e_2: $i ).
thf(2,axiom,
group_element @ e_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
thf(29,plain,
group_element @ e_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(21,axiom,
! [B: $i,A: $i] :
( ~ ( group_element @ A )
| ~ ( group_element @ B )
| ( product1 @ A @ B @ e_1 )
| ( product1 @ A @ B @ e_2 )
| ( product1 @ A @ B @ e_3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_total_function1) ).
thf(58,plain,
! [B: $i,A: $i] :
( ~ ( group_element @ A )
| ~ ( group_element @ B )
| ( product1 @ A @ B @ e_1 )
| ( product1 @ A @ B @ e_2 )
| ( product1 @ A @ B @ e_3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(59,plain,
! [B: $i,A: $i] :
( ~ ( group_element @ A )
| ~ ( group_element @ B )
| ( product1 @ A @ B @ e_1 )
| ( product1 @ A @ B @ e_2 )
| ( product1 @ A @ B @ e_3 ) ),
inference(cnf,[status(esa)],[58]) ).
thf(17,axiom,
! [A: $i] : ( product1 @ A @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_idempotence) ).
thf(51,plain,
! [A: $i] : ( product1 @ A @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(1,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( product1 @ A @ B @ C )
| ~ ( product1 @ C @ B @ D )
| ( product2 @ D @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg1a) ).
thf(27,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( product1 @ A @ B @ C )
| ~ ( product1 @ C @ B @ D )
| ( product2 @ D @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(28,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( product1 @ A @ B @ C )
| ~ ( product1 @ C @ B @ D )
| ( product2 @ D @ A @ B ) ),
inference(cnf,[status(esa)],[27]) ).
thf(76,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( product1 @ B @ C @ D )
| ( product2 @ E @ B @ C )
| ( ( product1 @ A @ A @ A )
!= ( product1 @ D @ C @ E ) ) ),
inference(paramod_ordered,[status(thm)],[51,28]) ).
thf(77,plain,
! [B: $i,A: $i] :
( ~ ( product1 @ B @ A @ A )
| ( product2 @ A @ B @ A ) ),
inference(pattern_uni,[status(thm)],[76:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( A )),bind(E,$thf( A ))]]) ).
thf(105,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( group_element @ A )
| ~ ( group_element @ B )
| ( product1 @ A @ B @ e_1 )
| ( product1 @ A @ B @ e_3 )
| ( product2 @ C @ D @ C )
| ( ( product1 @ A @ B @ e_2 )
!= ( product1 @ D @ C @ C ) ) ),
inference(paramod_ordered,[status(thm)],[59,77]) ).
thf(106,plain,
! [A: $i] :
( ~ ( group_element @ A )
| ~ ( group_element @ e_2 )
| ( product1 @ A @ e_2 @ e_1 )
| ( product1 @ A @ e_2 @ e_3 )
| ( product2 @ e_2 @ A @ e_2 ) ),
inference(pattern_uni,[status(thm)],[105:[bind(A,$thf( A )),bind(B,$thf( e_2 )),bind(C,$thf( e_2 )),bind(D,$thf( A ))]]) ).
thf(7,axiom,
group_element @ e_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
thf(36,plain,
group_element @ e_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(143,plain,
! [A: $i] :
( ~ ( group_element @ A )
| ~ $true
| ( product1 @ A @ e_2 @ e_1 )
| ( product1 @ A @ e_2 @ e_3 )
| ( product2 @ e_2 @ A @ e_2 ) ),
inference(rewrite,[status(thm)],[106,36]) ).
thf(144,plain,
! [A: $i] :
( ~ ( group_element @ A )
| ( product1 @ A @ e_2 @ e_1 )
| ( product1 @ A @ e_2 @ e_3 )
| ( product2 @ e_2 @ A @ e_2 ) ),
inference(simp,[status(thm)],[143]) ).
thf(145,plain,
! [A: $i] :
( ( product1 @ A @ e_2 @ e_1 )
| ( product1 @ A @ e_2 @ e_3 )
| ( product2 @ e_2 @ A @ e_2 )
| ( ( group_element @ e_1 )
!= ( group_element @ A ) ) ),
inference(paramod_ordered,[status(thm)],[29,144]) ).
thf(146,plain,
( ( product1 @ e_1 @ e_2 @ e_1 )
| ( product1 @ e_1 @ e_2 @ e_3 )
| ( product2 @ e_2 @ e_1 @ e_2 ) ),
inference(pattern_uni,[status(thm)],[145:[bind(A,$thf( e_1 ))]]) ).
thf(69,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( product1 @ A @ B @ C )
| ( product2 @ D @ A @ B )
| ( ( product1 @ C @ B @ D )
!= ( product1 @ A @ B @ C ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[28]) ).
thf(70,plain,
! [B: $i,A: $i] :
( ~ ( product1 @ B @ A @ B )
| ( product2 @ B @ B @ A ) ),
inference(pattern_uni,[status(thm)],[69:[bind(A,$thf( D )),bind(B,$thf( B )),bind(C,$thf( D ))]]) ).
thf(71,plain,
! [B: $i,A: $i] :
( ~ ( product1 @ B @ A @ B )
| ( product2 @ B @ B @ A ) ),
inference(simp,[status(thm)],[70]) ).
thf(72,plain,
! [C: $i,B: $i,A: $i] :
( ( product2 @ C @ C @ B )
| ( ( product1 @ A @ A @ A )
!= ( product1 @ C @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[51,71]) ).
thf(73,plain,
! [A: $i] : ( product2 @ A @ A @ A ),
inference(pattern_uni,[status(thm)],[72:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( A ))]]) ).
thf(25,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( product2 @ A @ B @ C )
| ~ ( product2 @ A @ D @ C )
| ( equalish @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product2_right_cancellation) ).
thf(66,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( product2 @ A @ B @ C )
| ~ ( product2 @ A @ D @ C )
| ( equalish @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(67,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( product2 @ A @ B @ C )
| ~ ( product2 @ A @ D @ C )
| ( equalish @ B @ D ) ),
inference(cnf,[status(esa)],[66]) ).
thf(896,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( product2 @ B @ E @ D )
| ( equalish @ C @ E )
| ( ( product2 @ A @ A @ A )
!= ( product2 @ B @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[73,67]) ).
thf(897,plain,
! [B: $i,A: $i] :
( ~ ( product2 @ A @ B @ A )
| ( equalish @ A @ B ) ),
inference(pattern_uni,[status(thm)],[896:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( A )),bind(D,$thf( A ))]]) ).
thf(936,plain,
! [B: $i,A: $i] :
( ~ ( product2 @ A @ B @ A )
| ( equalish @ A @ B ) ),
inference(simp,[status(thm)],[897]) ).
thf(1184,plain,
! [B: $i,A: $i] :
( ( product1 @ e_1 @ e_2 @ e_1 )
| ( product1 @ e_1 @ e_2 @ e_3 )
| ( equalish @ A @ B )
| ( ( product2 @ e_2 @ e_1 @ e_2 )
!= ( product2 @ A @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[146,936]) ).
thf(1185,plain,
( ( product1 @ e_1 @ e_2 @ e_1 )
| ( product1 @ e_1 @ e_2 @ e_3 )
| ( equalish @ e_2 @ e_1 ) ),
inference(pattern_uni,[status(thm)],[1184:[bind(A,$thf( e_2 )),bind(B,$thf( e_1 ))]]) ).
thf(13,axiom,
~ ( equalish @ e_2 @ e_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
thf(44,plain,
~ ( equalish @ e_2 @ e_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(45,plain,
~ ( equalish @ e_2 @ e_1 ),
inference(polarity_switch,[status(thm)],[44]) ).
thf(2258,plain,
( ( product1 @ e_1 @ e_2 @ e_1 )
| ( product1 @ e_1 @ e_2 @ e_3 )
| $false ),
inference(rewrite,[status(thm)],[1185,45]) ).
thf(2259,plain,
( ( product1 @ e_1 @ e_2 @ e_1 )
| ( product1 @ e_1 @ e_2 @ e_3 ) ),
inference(simp,[status(thm)],[2258]) ).
thf(4,axiom,
group_element @ e_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
thf(32,plain,
group_element @ e_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(147,plain,
! [A: $i] :
( ( product1 @ A @ e_2 @ e_1 )
| ( product1 @ A @ e_2 @ e_3 )
| ( product2 @ e_2 @ A @ e_2 )
| ( ( group_element @ e_3 )
!= ( group_element @ A ) ) ),
inference(paramod_ordered,[status(thm)],[32,144]) ).
thf(148,plain,
( ( product1 @ e_3 @ e_2 @ e_1 )
| ( product1 @ e_3 @ e_2 @ e_3 )
| ( product2 @ e_2 @ e_3 @ e_2 ) ),
inference(pattern_uni,[status(thm)],[147:[bind(A,$thf( e_3 ))]]) ).
thf(1178,plain,
! [B: $i,A: $i] :
( ( product1 @ e_3 @ e_2 @ e_1 )
| ( product1 @ e_3 @ e_2 @ e_3 )
| ( equalish @ A @ B )
| ( ( product2 @ e_2 @ e_3 @ e_2 )
!= ( product2 @ A @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[148,936]) ).
thf(1179,plain,
( ( product1 @ e_3 @ e_2 @ e_1 )
| ( product1 @ e_3 @ e_2 @ e_3 )
| ( equalish @ e_2 @ e_3 ) ),
inference(pattern_uni,[status(thm)],[1178:[bind(A,$thf( e_2 )),bind(B,$thf( e_3 ))]]) ).
thf(15,axiom,
~ ( equalish @ e_2 @ e_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
thf(47,plain,
~ ( equalish @ e_2 @ e_3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(48,plain,
~ ( equalish @ e_2 @ e_3 ),
inference(polarity_switch,[status(thm)],[47]) ).
thf(1187,plain,
( ( product1 @ e_3 @ e_2 @ e_1 )
| ( product1 @ e_3 @ e_2 @ e_3 )
| $false ),
inference(rewrite,[status(thm)],[1179,48]) ).
thf(1188,plain,
( ( product1 @ e_3 @ e_2 @ e_1 )
| ( product1 @ e_3 @ e_2 @ e_3 ) ),
inference(simp,[status(thm)],[1187]) ).
thf(23,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( product1 @ A @ B @ C )
| ~ ( product1 @ A @ D @ C )
| ( equalish @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_right_cancellation) ).
thf(62,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( product1 @ A @ B @ C )
| ~ ( product1 @ A @ D @ C )
| ( equalish @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(63,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( product1 @ A @ B @ C )
| ~ ( product1 @ A @ D @ C )
| ( equalish @ B @ D ) ),
inference(cnf,[status(esa)],[62]) ).
thf(635,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( product1 @ B @ E @ D )
| ( equalish @ C @ E )
| ( ( product1 @ A @ A @ A )
!= ( product1 @ B @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[51,63]) ).
thf(636,plain,
! [B: $i,A: $i] :
( ~ ( product1 @ A @ B @ A )
| ( equalish @ A @ B ) ),
inference(pattern_uni,[status(thm)],[635:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( A )),bind(D,$thf( A ))]]) ).
thf(644,plain,
! [B: $i,A: $i] :
( ~ ( product1 @ A @ B @ A )
| ( equalish @ A @ B ) ),
inference(simp,[status(thm)],[636]) ).
thf(1196,plain,
! [B: $i,A: $i] :
( ( product1 @ e_3 @ e_2 @ e_1 )
| ( equalish @ A @ B )
| ( ( product1 @ e_3 @ e_2 @ e_3 )
!= ( product1 @ A @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[1188,644]) ).
thf(1197,plain,
( ( product1 @ e_3 @ e_2 @ e_1 )
| ( equalish @ e_3 @ e_2 ) ),
inference(pattern_uni,[status(thm)],[1196:[bind(A,$thf( e_3 )),bind(B,$thf( e_2 ))]]) ).
thf(16,axiom,
~ ( equalish @ e_3 @ e_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
thf(49,plain,
~ ( equalish @ e_3 @ e_2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(50,plain,
~ ( equalish @ e_3 @ e_2 ),
inference(polarity_switch,[status(thm)],[49]) ).
thf(1338,plain,
( ( product1 @ e_3 @ e_2 @ e_1 )
| $false ),
inference(rewrite,[status(thm)],[1197,50]) ).
thf(1339,plain,
product1 @ e_3 @ e_2 @ e_1,
inference(simp,[status(thm)],[1338]) ).
thf(1367,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( product1 @ A @ B @ C )
| ( product2 @ D @ A @ B )
| ( ( product1 @ e_3 @ e_2 @ e_1 )
!= ( product1 @ C @ B @ D ) ) ),
inference(paramod_ordered,[status(thm)],[1339,28]) ).
thf(1368,plain,
! [A: $i] :
( ~ ( product1 @ A @ e_2 @ e_3 )
| ( product2 @ e_1 @ A @ e_2 ) ),
inference(pattern_uni,[status(thm)],[1367:[bind(A,$thf( A )),bind(B,$thf( e_2 )),bind(C,$thf( e_3 )),bind(D,$thf( e_1 ))]]) ).
thf(19,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( product2 @ A @ B @ C )
| ~ ( product2 @ A @ B @ D )
| ( equalish @ C @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product2_total_function2) ).
thf(54,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( product2 @ A @ B @ C )
| ~ ( product2 @ A @ B @ D )
| ( equalish @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(55,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( product2 @ A @ B @ C )
| ~ ( product2 @ A @ B @ D )
| ( equalish @ C @ D ) ),
inference(cnf,[status(esa)],[54]) ).
thf(192,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( product2 @ B @ C @ E )
| ( equalish @ D @ E )
| ( ( product2 @ A @ A @ A )
!= ( product2 @ B @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[73,55]) ).
thf(193,plain,
! [B: $i,A: $i] :
( ~ ( product2 @ A @ A @ B )
| ( equalish @ A @ B ) ),
inference(pattern_uni,[status(thm)],[192:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( A )),bind(D,$thf( A ))]]) ).
thf(228,plain,
! [B: $i,A: $i] :
( ~ ( product2 @ A @ A @ B )
| ( equalish @ A @ B ) ),
inference(simp,[status(thm)],[193]) ).
thf(3217,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( product1 @ A @ e_2 @ e_3 )
| ( equalish @ B @ C )
| ( ( product2 @ e_1 @ A @ e_2 )
!= ( product2 @ B @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[1368,228]) ).
thf(3218,plain,
( ~ ( product1 @ e_1 @ e_2 @ e_3 )
| ( equalish @ e_1 @ e_2 ) ),
inference(pattern_uni,[status(thm)],[3217:[bind(A,$thf( e_1 )),bind(B,$thf( e_1 )),bind(C,$thf( e_2 ))]]) ).
thf(5,axiom,
~ ( equalish @ e_1 @ e_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
thf(33,plain,
~ ( equalish @ e_1 @ e_2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(34,plain,
~ ( equalish @ e_1 @ e_2 ),
inference(polarity_switch,[status(thm)],[33]) ).
thf(3405,plain,
( ~ ( product1 @ e_1 @ e_2 @ e_3 )
| $false ),
inference(rewrite,[status(thm)],[3218,34]) ).
thf(3406,plain,
~ ( product1 @ e_1 @ e_2 @ e_3 ),
inference(simp,[status(thm)],[3405]) ).
thf(3407,plain,
( ( product1 @ e_1 @ e_2 @ e_1 )
| $false ),
inference(rewrite,[status(thm)],[2259,3406]) ).
thf(3408,plain,
product1 @ e_1 @ e_2 @ e_1,
inference(simp,[status(thm)],[3407]) ).
thf(637,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( product1 @ B @ C @ D )
| ( equalish @ C @ E )
| ( ( product1 @ A @ A @ A )
!= ( product1 @ B @ E @ D ) ) ),
inference(paramod_ordered,[status(thm)],[51,63]) ).
thf(638,plain,
! [B: $i,A: $i] :
( ~ ( product1 @ A @ B @ A )
| ( equalish @ B @ A ) ),
inference(pattern_uni,[status(thm)],[637:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( C )),bind(D,$thf( A )),bind(E,$thf( A ))]]) ).
thf(645,plain,
! [B: $i,A: $i] :
( ~ ( product1 @ A @ B @ A )
| ( equalish @ B @ A ) ),
inference(simp,[status(thm)],[638]) ).
thf(3662,plain,
! [B: $i,A: $i] :
( ( equalish @ B @ A )
| ( ( product1 @ e_1 @ e_2 @ e_1 )
!= ( product1 @ A @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[3408,645]) ).
thf(3663,plain,
equalish @ e_2 @ e_1,
inference(pattern_uni,[status(thm)],[3662:[bind(A,$thf( e_1 )),bind(B,$thf( e_2 ))]]) ).
thf(3859,plain,
$false,
inference(rewrite,[status(thm)],[3663,45]) ).
thf(3860,plain,
$false,
inference(simp,[status(thm)],[3859]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP123-7.003 : TPTP v8.2.0. Released v1.2.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n020.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 : Sun May 19 04:38:54 EDT 2024
% 0.15/0.36 % CPUTime :
% 1.06/0.95 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.22/1.08 % [INFO] Parsing done (127ms).
% 1.44/1.09 % [INFO] Running in sequential loop mode.
% 1.68/1.30 % [INFO] nitpick registered as external prover.
% 1.68/1.30 % [INFO] Scanning for conjecture ...
% 1.94/1.38 % [INFO] Found a conjecture (or negated_conjecture) and 25 axioms. Running axiom selection ...
% 2.07/1.46 % [INFO] Axiom selection finished. Selected 25 axioms (removed 0 axioms).
% 2.23/1.49 % [INFO] Problem is propositional (TPTP CNF).
% 2.23/1.49 % [INFO] Type checking passed.
% 2.23/1.50 % [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 ...
% 24.33/4.86 % [INFO] Killing All external provers ...
% 24.33/4.87 % Time passed: 4352ms (effective reasoning time: 3776ms)
% 24.33/4.87 % Axioms used in derivation (12): e_3_is_not_e_2, element_2, product1_idempotence, product1_total_function1, e_1_is_not_e_2, product2_total_function2, e_2_is_not_e_3, element_3, e_2_is_not_e_1, product2_right_cancellation, product1_right_cancellation, element_1
% 24.33/4.87 % No. of inferences in proof: 86
% 24.33/4.87 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 4352 ms resp. 3776 ms w/o parsing
% 24.33/4.93 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 24.33/4.93 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------