TSTP Solution File: NUM420-1.000 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : NUM420-1.000 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n006.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 : Fri May 19 11:40:30 EDT 2023
% Result : Unsatisfiable 70.16s 18.63s
% Output : Refutation 70.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 103
% Syntax : Number of formulae : 195 ( 81 unt; 12 typ; 0 def)
% Number of atoms : 321 ( 209 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 1177 ( 143 ~; 138 |; 0 &; 896 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 296 ( 0 ^; 296 !; 0 ?; 296 :)
% Comments :
%------------------------------------------------------------------------------
thf(plus_type,type,
plus: $i > $i > $i ).
thf(times_type,type,
times: $i > $i > $i ).
thf(p__0_type,type,
p__0: $i ).
thf(n1_type,type,
n1: $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(less_type,type,
less: $i > $i > $o ).
thf(n0_type,type,
n0: $i ).
thf(s_5_type,type,
s_5: $i > $i > $i ).
thf(s_6_type,type,
s_6: $i > $i > $i ).
thf(s_7_type,type,
s_7: $i > $i ).
thf(s_1_type,type,
s_1: $i > $i ).
thf(s_4_type,type,
s_4: $i > $i ).
thf(23,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( less @ n0 @ p__0 )
| ( ( plus @ ( times @ A @ p__0 ) @ ( times @ B @ p__0 ) )
= ( times @ ( plus @ A @ B ) @ p__0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_23) ).
thf(142,plain,
! [B: $i,A: $i] :
( ~ ( less @ n0 @ p__0 )
| ( ( plus @ ( times @ A @ p__0 ) @ ( times @ B @ p__0 ) )
= ( times @ ( plus @ A @ B ) @ p__0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(77,axiom,
! [A: $i] :
( ( times @ n1 @ A )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
thf(257,plain,
! [A: $i] :
( ( times @ n1 @ A )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(55,negated_conjecture,
! [B: $i,A: $i] :
( ( A != p__0 )
| ( ( plus @ n0 @ ( times @ B @ A ) )
= ( times @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_55) ).
thf(141,plain,
! [B: $i,A: $i] :
( ( A != p__0 )
| ( ( plus @ n0 @ ( times @ B @ A ) )
= ( times @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(39,negated_conjecture,
! [B: $i,A: $i] :
( ( ( times @ A @ B )
!= p__0 )
| ( ( times @ A @ B )
= p__0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_39) ).
thf(129,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(30,negated_conjecture,
! [A: $i] :
( ~ ( less @ n0 @ p__0 )
| ~ ( less @ A @ p__0 )
| ( less @ A @ p__0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_30) ).
thf(144,plain,
! [A: $i] :
( ~ ( less @ n0 @ p__0 )
| ~ ( less @ A @ p__0 )
| ( less @ A @ p__0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(2,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( plus @ A @ ( plus @ ( plus @ ( times @ B @ ( plus @ C @ ( plus @ n1 @ n1 ) ) ) @ ( times @ C @ ( plus @ A @ n1 ) ) ) @ n1 ) )
= ( plus @ B @ ( times @ ( plus @ B @ ( plus @ A @ n1 ) ) @ ( plus @ C @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
thf(95,plain,
! [C: $i,B: $i,A: $i] :
( ( plus @ A @ ( plus @ ( plus @ ( times @ B @ ( plus @ C @ ( plus @ n1 @ n1 ) ) ) @ ( times @ C @ ( plus @ A @ n1 ) ) ) @ n1 ) )
= ( plus @ B @ ( times @ ( plus @ B @ ( plus @ A @ n1 ) ) @ ( plus @ C @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(49,negated_conjecture,
! [A: $i] :
( ( A != n1 )
| ( A = n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_49) ).
thf(127,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(36,negated_conjecture,
( ( plus @ n0 @ n1 )
= n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_36) ).
thf(143,plain,
( ( plus @ n0 @ n1 )
= n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(35,negated_conjecture,
( ~ ( less @ n1 @ p__0 )
| ( less @ n1 @ p__0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_35) ).
thf(131,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(43,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( A
!= ( plus @ n0 @ ( times @ B @ C ) ) )
| ( A
= ( plus @ n0 @ ( times @ B @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_43) ).
thf(138,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(24,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( less @ n0 @ A )
| ~ ( less @ n0 @ p__0 )
| ~ ( less @ A @ p__0 )
| ( ( plus @ A @ ( times @ B @ p__0 ) )
!= ( plus @ n0 @ ( times @ C @ p__0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_24) ).
thf(101,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( less @ n0 @ A )
| ~ ( less @ n0 @ p__0 )
| ~ ( less @ A @ p__0 )
| ( ( plus @ A @ ( times @ B @ p__0 ) )
!= ( plus @ n0 @ ( times @ C @ p__0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(68,axiom,
! [A: $i] :
( ~ ( less @ n1 @ A )
| ( A != n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).
thf(234,plain,
! [A: $i] :
( ~ ( less @ n1 @ A )
| ( A != n1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(53,negated_conjecture,
! [A: $i] :
( ( A = n1 )
| ( ( s_1 @ A )
= p__0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_53) ).
thf(115,plain,
! [A: $i] :
( ( A = n1 )
| ( ( s_1 @ A )
= p__0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(62,axiom,
! [C: $i,B: $i,A: $i] :
( ( A != B )
| ( ( plus @ C @ A )
= ( plus @ C @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
thf(217,plain,
! [C: $i,B: $i,A: $i] :
( ( A != B )
| ( ( plus @ C @ A )
= ( plus @ C @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(32,negated_conjecture,
! [A: $i] :
( ~ ( less @ n0 @ p__0 )
| ( less @ ( s_5 @ p__0 @ A ) @ p__0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_32) ).
thf(120,plain,
! [A: $i] :
( ~ ( less @ n0 @ p__0 )
| ( less @ ( s_5 @ p__0 @ A ) @ p__0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(21,negated_conjecture,
! [B: $i,A: $i] :
( ( A
!= ( plus @ n0 @ ( times @ B @ p__0 ) ) )
| ( A
= ( plus @ n0 @ ( times @ B @ p__0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_21) ).
thf(110,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(12,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( less @ n0 @ p__0 )
| ( A
!= ( plus @ B @ ( times @ ( plus @ C @ D ) @ p__0 ) ) )
| ( A
= ( plus @ B @ ( times @ ( plus @ C @ D ) @ p__0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12) ).
thf(125,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( less @ n0 @ p__0 )
| ( A
!= ( plus @ B @ ( times @ ( plus @ C @ D ) @ p__0 ) ) )
| ( A
= ( plus @ B @ ( times @ ( plus @ C @ D ) @ p__0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(1,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( A
!= ( plus @ B @ ( times @ C @ p__0 ) ) )
| ( A
= ( plus @ B @ ( times @ C @ p__0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
thf(93,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(90,axiom,
! [C: $i,B: $i,A: $i] :
( ( plus @ ( plus @ A @ B ) @ C )
= ( plus @ A @ ( plus @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
thf(289,plain,
! [C: $i,B: $i,A: $i] :
( ( plus @ ( plus @ A @ B ) @ C )
= ( plus @ A @ ( plus @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(20,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A
!= ( plus @ B @ ( times @ C @ ( plus @ D @ n1 ) ) ) )
| ( A
= ( plus @ B @ ( times @ C @ ( plus @ D @ n1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_20) ).
thf(106,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(69,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( less @ A @ B )
| ~ ( less @ A @ C )
| ~ ( less @ B @ C )
| ( ( plus @ A @ ( times @ D @ C ) )
!= ( plus @ B @ ( times @ E @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).
thf(238,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( less @ A @ B )
| ~ ( less @ A @ C )
| ~ ( less @ B @ C )
| ( ( plus @ A @ ( times @ D @ C ) )
!= ( plus @ B @ ( times @ E @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(34,negated_conjecture,
( ~ ( less @ ( plus @ n0 @ n1 ) @ p__0 )
| ( less @ n0 @ p__0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_34) ).
thf(121,plain,
( ~ ( less @ ( plus @ n0 @ n1 ) @ p__0 )
| ( less @ n0 @ p__0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(60,axiom,
! [A: $i] :
( ( plus @ n1 @ ( plus @ A @ n1 ) )
!= n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
thf(211,plain,
! [A: $i] :
( ( plus @ n1 @ ( plus @ A @ n1 ) )
!= n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(75,axiom,
! [B: $i,A: $i] :
( ( plus @ ( times @ A @ B ) @ A )
= ( times @ A @ ( plus @ B @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_25) ).
thf(253,plain,
! [B: $i,A: $i] :
( ( plus @ ( times @ A @ B ) @ A )
= ( times @ A @ ( plus @ B @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(47,negated_conjecture,
! [B: $i,A: $i] :
( ( A != p__0 )
| ( B != n1 )
| ( B = n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_47) ).
thf(147,plain,
! [B: $i,A: $i] :
( ( A != p__0 )
| ( B != n1 )
| ( B = n1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(63,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ( less @ A @ B )
| ( less @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_32) ).
thf(221,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( less @ A @ B )
| ( less @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(48,negated_conjecture,
! [A: $i] :
( ( A = n1 )
| ( ( times @ ( s_1 @ A ) @ ( s_4 @ A ) )
= A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_48) ).
thf(132,plain,
! [A: $i] :
( ( A = n1 )
| ( ( times @ ( s_1 @ A ) @ ( s_4 @ A ) )
= A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(18,negated_conjecture,
( ~ ( less @ n0 @ p__0 )
| ( p__0
= ( plus @ ( s_7 @ p__0 ) @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18) ).
thf(133,plain,
( ~ ( less @ n0 @ p__0 )
| ( p__0
= ( plus @ ( s_7 @ p__0 ) @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(58,axiom,
! [B: $i,A: $i] :
( ( A
!= ( plus @ B @ A ) )
| ( B = n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
thf(206,plain,
! [B: $i,A: $i] :
( ( A
!= ( plus @ B @ A ) )
| ( B = n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(13,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A
!= ( plus @ B @ ( times @ C @ ( plus @ D @ n1 ) ) ) )
| ( A
= ( plus @ B @ ( times @ C @ ( plus @ D @ n1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13) ).
thf(116,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(71,axiom,
! [B: $i,A: $i] :
( ( A
!= ( plus @ A @ B ) )
| ( B = n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
thf(243,plain,
! [B: $i,A: $i] :
( ( A
!= ( plus @ A @ B ) )
| ( B = n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(73,axiom,
! [B: $i,A: $i] :
( ( n1
!= ( times @ A @ B ) )
| ( B = n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).
thf(248,plain,
! [B: $i,A: $i] :
( ( n1
!= ( times @ A @ B ) )
| ( B = n1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(41,negated_conjecture,
( ~ ( less @ n1 @ p__0 )
| ( less @ n1 @ p__0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_41) ).
thf(117,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(37,negated_conjecture,
! [A: $i] :
( ( A != p__0 )
| ( A = p__0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_37) ).
thf(102,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(84,axiom,
! [B: $i,A: $i] :
( ~ ( less @ n1 @ A )
| ( n1
!= ( times @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_33) ).
thf(275,plain,
! [B: $i,A: $i] :
( ~ ( less @ n1 @ A )
| ( n1
!= ( times @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(11,negated_conjecture,
n1 = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).
thf(137,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(5,negated_conjecture,
! [B: $i,A: $i] :
( ( ( plus @ A @ ( plus @ B @ n1 ) )
!= n1 )
| ( ( plus @ A @ ( plus @ B @ n1 ) )
= n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
thf(92,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A
!= ( plus @ B @ ( times @ C @ ( plus @ D @ n1 ) ) ) )
| ( A
= ( plus @ B @ ( times @ C @ ( plus @ D @ n1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
thf(97,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(88,axiom,
! [C: $i,B: $i,A: $i] :
( ( times @ ( plus @ A @ B ) @ C )
= ( plus @ ( times @ A @ C ) @ ( times @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_23) ).
thf(285,plain,
! [C: $i,B: $i,A: $i] :
( ( times @ ( plus @ A @ B ) @ C )
= ( plus @ ( times @ A @ C ) @ ( times @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(64,axiom,
! [B: $i,A: $i] :
( ~ ( less @ ( plus @ A @ n1 ) @ B )
| ( less @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).
thf(224,plain,
! [B: $i,A: $i] :
( ~ ( less @ ( plus @ A @ n1 ) @ B )
| ( less @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(29,negated_conjecture,
! [A: $i] :
( ( A != n1 )
| ( A = n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_29) ).
thf(109,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(27,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( less @ n0 @ p__0 )
| ( A
!= ( plus @ B @ ( times @ C @ p__0 ) ) )
| ( A
= ( plus @ B @ ( times @ C @ p__0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_27) ).
thf(124,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( less @ n0 @ p__0 )
| ( A
!= ( plus @ B @ ( times @ C @ p__0 ) ) )
| ( A
= ( plus @ B @ ( times @ C @ p__0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(8,negated_conjecture,
! [A: $i] :
( ~ ( less @ n0 @ p__0 )
| ( ( s_5 @ p__0 @ A )
!= n0 )
| ( A
= ( plus @ n0 @ ( times @ ( s_6 @ p__0 @ A ) @ p__0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
thf(96,plain,
! [A: $i] :
( ~ ( less @ n0 @ p__0 )
| ( ( s_5 @ p__0 @ A )
!= n0 )
| ( A
= ( plus @ n0 @ ( times @ ( s_6 @ p__0 @ A ) @ p__0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(50,negated_conjecture,
! [A: $i] :
( ( A = n1 )
| ( ( times @ ( s_4 @ A ) @ ( s_1 @ A ) )
= ( times @ ( s_1 @ A ) @ ( s_4 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_50) ).
thf(134,plain,
! [A: $i] :
( ( A = n1 )
| ( ( times @ ( s_4 @ A ) @ ( s_1 @ A ) )
= ( times @ ( s_1 @ A ) @ ( s_4 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(7,negated_conjecture,
! [A: $i] :
( ~ ( less @ n0 @ p__0 )
| ( A != n0 )
| ( A = n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
thf(128,plain,
! [A: $i] :
( ~ ( less @ n0 @ p__0 )
| ( A != n0 )
| ( A = n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(14,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( less @ A @ n0 )
| ~ ( less @ n0 @ p__0 )
| ~ ( less @ A @ p__0 )
| ( ( plus @ A @ ( times @ B @ p__0 ) )
!= ( plus @ n0 @ ( times @ C @ p__0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14) ).
thf(105,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( less @ A @ n0 )
| ~ ( less @ n0 @ p__0 )
| ~ ( less @ A @ p__0 )
| ( ( plus @ A @ ( times @ B @ p__0 ) )
!= ( plus @ n0 @ ( times @ C @ p__0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(81,axiom,
! [C: $i,B: $i,A: $i] :
( ( plus @ ( times @ A @ B ) @ ( times @ C @ B ) )
= ( times @ ( plus @ A @ C ) @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).
thf(266,plain,
! [C: $i,B: $i,A: $i] :
( ( plus @ ( times @ A @ B ) @ ( times @ C @ B ) )
= ( times @ ( plus @ A @ C ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(15,negated_conjecture,
! [A: $i] :
( ( A != n1 )
| ( A = n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).
thf(148,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(80,axiom,
! [C: $i,B: $i,A: $i] :
( ( times @ A @ ( times @ B @ C ) )
= ( times @ ( times @ A @ B ) @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
thf(264,plain,
! [C: $i,B: $i,A: $i] :
( ( times @ A @ ( times @ B @ C ) )
= ( times @ ( times @ A @ B ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(91,axiom,
! [A: $i] :
( ( plus @ A @ n0 )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(291,plain,
! [A: $i] :
( ( plus @ A @ n0 )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(45,negated_conjecture,
! [A: $i] :
( ( A = n1 )
| ( A = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_45) ).
thf(118,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(86,axiom,
! [B: $i,A: $i] :
( ( times @ A @ B )
= ( times @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
thf(281,plain,
! [B: $i,A: $i] :
( ( times @ A @ B )
= ( times @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(78,axiom,
! [B: $i,A: $i] :
( ( ( plus @ A @ B )
!= A )
| ( B = n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
thf(259,plain,
! [B: $i,A: $i] :
( ( ( plus @ A @ B )
!= A )
| ( B = n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(38,negated_conjecture,
! [A: $i] :
( ( A != n1 )
| ( A = n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_38) ).
thf(113,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(10,negated_conjecture,
! [B: $i,A: $i] :
( ( A
!= ( plus @ n0 @ ( times @ B @ p__0 ) ) )
| ( A
= ( plus @ n0 @ ( times @ B @ p__0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
thf(98,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(25,negated_conjecture,
! [A: $i] :
( ( plus @ n1 @ ( plus @ A @ n1 ) )
!= n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_25) ).
thf(103,plain,
! [A: $i] :
( ( plus @ n1 @ ( plus @ A @ n1 ) )
!= n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(26,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( less @ n0 @ p__0 )
| ( ( plus @ ( plus @ A @ ( times @ B @ p__0 ) ) @ ( times @ C @ p__0 ) )
= ( plus @ A @ ( plus @ ( times @ B @ p__0 ) @ ( times @ C @ p__0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_26) ).
thf(140,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( less @ n0 @ p__0 )
| ( ( plus @ ( plus @ A @ ( times @ B @ p__0 ) ) @ ( times @ C @ p__0 ) )
= ( plus @ A @ ( plus @ ( times @ B @ p__0 ) @ ( times @ C @ p__0 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(74,axiom,
! [C: $i,B: $i,A: $i] :
( ( plus @ ( times @ A @ B ) @ ( times @ A @ C ) )
= ( times @ A @ ( plus @ C @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
thf(251,plain,
! [C: $i,B: $i,A: $i] :
( ( plus @ ( times @ A @ B ) @ ( times @ A @ C ) )
= ( times @ A @ ( plus @ C @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(57,negated_conjecture,
p__0 = p__0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_57) ).
thf(108,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(3,negated_conjecture,
! [C: $i,B: $i,A: $i] :
~ ( element @ ( plus @ A @ ( plus @ B @ n1 ) ) @ C ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
thf(130,plain,
! [C: $i,B: $i,A: $i] :
~ ( element @ ( plus @ A @ ( plus @ B @ n1 ) ) @ C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(85,axiom,
! [B: $i,A: $i] :
( ( ( plus @ A @ B )
!= B )
| ( A = n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
thf(278,plain,
! [B: $i,A: $i] :
( ( ( plus @ A @ B )
!= B )
| ( A = n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(16,negated_conjecture,
! [A: $i] :
( ( A != n1 )
| ( A = n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).
thf(135,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(65,axiom,
! [A: $i] : ( less @ n0 @ ( plus @ A @ n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).
thf(226,plain,
! [A: $i] : ( less @ n0 @ ( plus @ A @ n1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(70,axiom,
! [C: $i,B: $i,A: $i] :
( ( times @ ( plus @ A @ B ) @ C )
= ( plus @ ( times @ B @ C ) @ ( times @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).
thf(241,plain,
! [C: $i,B: $i,A: $i] :
( ( times @ ( plus @ A @ B ) @ C )
= ( plus @ ( times @ B @ C ) @ ( times @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(76,axiom,
! [B: $i,A: $i] :
( ( plus @ A @ B )
= ( plus @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
thf(255,plain,
! [B: $i,A: $i] :
( ( plus @ A @ B )
= ( plus @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(59,axiom,
! [A: $i] :
( ( times @ A @ n1 )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
thf(209,plain,
! [A: $i] :
( ( times @ A @ n1 )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(28,negated_conjecture,
! [A: $i] :
( ( A != n1 )
| ( A = n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_28) ).
thf(112,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(44,negated_conjecture,
! [A: $i] :
( ( A != p__0 )
| ( less @ n1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_44) ).
thf(123,plain,
! [A: $i] :
( ( A != p__0 )
| ( less @ n1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(51,negated_conjecture,
! [A: $i] :
( ( A != n1 )
| ( A = n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_51) ).
thf(145,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(67,axiom,
! [B: $i,A: $i] :
( ( n1
!= ( times @ A @ B ) )
| ( A = n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).
thf(231,plain,
! [B: $i,A: $i] :
( ( n1
!= ( times @ A @ B ) )
| ( A = n1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(56,negated_conjecture,
! [B: $i,A: $i] :
( ( A
!= ( plus @ n0 @ ( times @ B @ p__0 ) ) )
| ( A
= ( plus @ n0 @ ( times @ B @ p__0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_56) ).
thf(99,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(52,negated_conjecture,
! [A: $i] :
( ( A = n1 )
| ( ( plus @ n0 @ ( times @ ( s_4 @ A ) @ ( s_1 @ A ) ) )
= ( times @ ( s_4 @ A ) @ ( s_1 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_52) ).
thf(104,plain,
! [A: $i] :
( ( A = n1 )
| ( ( plus @ n0 @ ( times @ ( s_4 @ A ) @ ( s_1 @ A ) ) )
= ( times @ ( s_4 @ A ) @ ( s_1 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(9,negated_conjecture,
! [B: $i,A: $i] :
~ ( element @ A @ B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
thf(114,plain,
! [B: $i,A: $i] :
~ ( element @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(40,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( A != p__0 )
| ( ( times @ B @ C )
!= A )
| ( B = n1 )
| ( B = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_40) ).
thf(139,plain,
! [C: $i,B: $i,A: $i] :
( ( A != p__0 )
| ( ( times @ B @ C )
!= A )
| ( B = n1 )
| ( B = A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(17,negated_conjecture,
! [A: $i] :
( ( A != n1 )
| ( A = n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17) ).
thf(119,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(72,axiom,
! [C: $i,B: $i,A: $i] :
( ( times @ A @ ( plus @ B @ C ) )
= ( plus @ ( times @ A @ B ) @ ( times @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
thf(246,plain,
! [C: $i,B: $i,A: $i] :
( ( times @ A @ ( plus @ B @ C ) )
= ( plus @ ( times @ A @ B ) @ ( times @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(83,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( less @ A @ B )
| ~ ( less @ A @ C )
| ~ ( less @ B @ C )
| ( ( plus @ B @ ( times @ D @ C ) )
!= ( plus @ A @ ( times @ E @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(272,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( less @ A @ B )
| ~ ( less @ A @ C )
| ~ ( less @ B @ C )
| ( ( plus @ B @ ( times @ D @ C ) )
!= ( plus @ A @ ( times @ E @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(61,axiom,
! [A: $i] :
( ( plus @ A @ n1 )
!= n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
thf(214,plain,
! [A: $i] :
( ( plus @ A @ n1 )
!= n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(89,axiom,
! [C: $i,B: $i,A: $i] :
( ( plus @ A @ ( plus @ B @ C ) )
= ( plus @ ( plus @ A @ B ) @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
thf(287,plain,
! [C: $i,B: $i,A: $i] :
( ( plus @ A @ ( plus @ B @ C ) )
= ( plus @ ( plus @ A @ B ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(79,axiom,
! [A: $i] :
( ( plus @ n0 @ A )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
thf(262,plain,
! [A: $i] :
( ( plus @ n0 @ A )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(19,negated_conjecture,
! [A: $i] :
( ( A != n1 )
| ( A = n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19) ).
thf(146,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(46,negated_conjecture,
! [A: $i] :
( ( A != p__0 )
| ( A = p__0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_46) ).
thf(107,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(82,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( plus @ A @ B )
!= ( plus @ A @ C ) )
| ( B = C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
thf(268,plain,
! [C: $i,B: $i,A: $i] :
( ( ( plus @ A @ B )
!= ( plus @ A @ C ) )
| ( B = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(6,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( plus @ A @ ( plus @ B @ n1 ) )
!= ( plus @ C @ ( times @ D @ ( plus @ E @ n1 ) ) ) )
| ( ( plus @ A @ ( plus @ B @ n1 ) )
= ( plus @ C @ ( times @ D @ ( plus @ E @ n1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
thf(94,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(87,axiom,
! [C: $i,B: $i,A: $i] :
( ( times @ ( times @ A @ B ) @ C )
= ( times @ A @ ( times @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
thf(283,plain,
! [C: $i,B: $i,A: $i] :
( ( times @ ( times @ A @ B ) @ C )
= ( times @ A @ ( times @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(54,negated_conjecture,
! [B: $i,A: $i] :
( ( A != p__0 )
| ( n1
!= ( times @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_54) ).
thf(126,plain,
! [B: $i,A: $i] :
( ( A != p__0 )
| ( n1
!= ( times @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(31,negated_conjecture,
! [A: $i] :
( ( A != n1 )
| ( A = n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_31) ).
thf(136,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(33,negated_conjecture,
! [A: $i] :
( ( A = n0 )
| ( less @ A @ n0 )
| ( less @ n0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_33) ).
thf(111,plain,
! [A: $i] :
( ( A = n0 )
| ( less @ A @ n0 )
| ( less @ n0 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(66,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( plus @ A @ B )
!= ( plus @ C @ B ) )
| ( A = C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
thf(227,plain,
! [C: $i,B: $i,A: $i] :
( ( ( plus @ A @ B )
!= ( plus @ C @ B ) )
| ( A = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(22,negated_conjecture,
! [A: $i] :
( ~ ( less @ n0 @ p__0 )
| ( A
= ( plus @ ( s_5 @ p__0 @ A ) @ ( times @ ( s_6 @ p__0 @ A ) @ p__0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_22) ).
thf(122,plain,
! [A: $i] :
( ~ ( less @ n0 @ p__0 )
| ( A
= ( plus @ ( s_5 @ p__0 @ A ) @ ( times @ ( s_6 @ p__0 @ A ) @ p__0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(42,negated_conjecture,
p__0 = p__0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_42) ).
thf(100,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(45184,plain,
$false,
inference(cvc4,[status(thm)],[142,257,141,129,144,95,127,143,131,138,101,234,115,217,120,110,125,93,289,106,238,121,211,253,147,221,132,133,206,116,243,248,117,102,275,137,92,97,285,224,109,124,96,134,128,105,266,148,264,291,118,281,259,113,98,103,140,251,108,130,278,135,226,241,255,209,112,123,145,231,99,104,114,139,119,246,272,214,287,262,146,107,268,94,283,126,136,111,227,122,100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM420-1.000 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 18 17:37:07 EDT 2023
% 0.14/0.36 % CPUTime :
% 1.02/0.89 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.34/1.04 % [INFO] Parsing done (157ms).
% 1.34/1.05 % [INFO] Running in sequential loop mode.
% 1.90/1.25 % [INFO] eprover registered as external prover.
% 1.90/1.25 % [INFO] cvc4 registered as external prover.
% 1.90/1.25 % [INFO] Scanning for conjecture ...
% 2.09/1.36 % [INFO] Found a conjecture and 34 axioms. Running axiom selection ...
% 2.31/1.45 % [INFO] Axiom selection finished. Selected 34 axioms (removed 0 axioms).
% 2.31/1.46 % [INFO] Problem is propositional (TPTP CNF).
% 2.61/1.47 % [INFO] Type checking passed.
% 2.61/1.47 % [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 ...
% 70.16/18.62 % External prover 'cvc4' found a proof!
% 70.16/18.62 % [INFO] Killing All external provers ...
% 70.16/18.62 % Time passed: 18108ms (effective reasoning time: 17565ms)
% 70.16/18.62 % Solved by 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)>
% 70.16/18.62 % Axioms used in derivation (34): axiom_22, axiom_15, axiom_2, axiom_27, axiom_16, axiom_3, axiom_20, axiom_1, axiom_28, axiom_8, axiom_17, axiom_25, axiom_34, axiom_9, axiom_14, axiom_4, axiom_7, axiom_26, axiom_33, axiom_10, axiom_21, axiom_19, axiom_32, axiom_6, axiom_31, axiom_24, axiom_5, axiom_13, axiom_29, axiom_11, axiom_30, axiom_23, axiom_18, axiom_12
% 70.16/18.62 % No. of inferences in proof: 183
% 70.16/18.63 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 18108 ms resp. 17565 ms w/o parsing
% 70.52/18.68 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 70.52/18.68 % [INFO] Killing All external provers ...
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