TSTP Solution File: SEV158^5 by Leo-III-SAT---1.7.15
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SEV158^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d SAT
% Computer : n019.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 Jun 24 15:59:37 EDT 2024
% Result : Theorem 80.45s 14.43s
% Output : Refutation 80.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 1
% Syntax : Number of formulae : 46 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 496 ( 293 equ; 204 cnn)
% Maximal formula atoms : 6 ( 10 avg)
% Number of connectives : 744 ( 63 ~; 59 |; 12 &; 604 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 258 ( 258 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 44 ( 0 ^ 41 !; 3 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk1_type,type,
sk1: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(sk2_type,type,
sk2: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(sk3_type,type,
sk3: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(sk4_type,type,
sk4: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(sk5_type,type,
sk5: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(sk6_type,type,
sk6: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(sk7_type,type,
sk7: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i ).
thf(sk15_type,type,
sk15: $i ).
thf(1,conjecture,
? [A: ( $i > $o ) > ( $i > $o ) > $o] :
( ! [B: $i > $o] : ( A @ B @ B )
& ! [B: $i > $o,C: $i > $o,D: $i > $o] :
( ( ( A @ B @ C )
& ( A @ C @ D ) )
=> ( A @ B @ D ) )
& ! [B: $i > $o,C: $i > $o] :
( ( ( A @ B @ C )
& ( A @ C @ B ) )
=> ! [D: $i] :
( ( B @ D )
= ( C @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM120I_1_pme) ).
thf(2,negated_conjecture,
~ ? [A: ( $i > $o ) > ( $i > $o ) > $o] :
( ! [B: $i > $o] : ( A @ B @ B )
& ! [B: $i > $o,C: $i > $o,D: $i > $o] :
( ( ( A @ B @ C )
& ( A @ C @ D ) )
=> ( A @ B @ D ) )
& ! [B: $i > $o,C: $i > $o] :
( ( ( A @ B @ C )
& ( A @ C @ B ) )
=> ! [D: $i] :
( ( B @ D )
= ( C @ D ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ? [A: ( $i > $o ) > ( $i > $o ) > $o] :
( ! [B: $i > $o] : ( A @ B @ B )
& ! [B: $i > $o,C: $i > $o,D: $i > $o] :
( ( ( A @ B @ C )
& ( A @ C @ D ) )
=> ( A @ B @ D ) )
& ! [B: $i > $o,C: $i > $o] :
( ( ( A @ B @ C )
& ( A @ C @ B ) )
=> ! [D: $i] :
( ( B @ D )
= ( C @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
! [A: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( A @ ( sk1 @ A ) @ ( sk1 @ A ) )
| ~ ( A @ ( sk2 @ A ) @ ( sk4 @ A ) )
| ( A @ ( sk5 @ A ) @ ( sk6 @ A ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(21,plain,
( ( ( sk1 @ ( (=) @ ( $i > $o ) ) )
!= ( sk1 @ ( (=) @ ( $i > $o ) ) ) )
| ( ( sk2 @ ( (=) @ ( $i > $o ) ) )
!= ( sk4 @ ( (=) @ ( $i > $o ) ) ) )
| ( ( sk5 @ ( (=) @ ( $i > $o ) ) )
= ( sk6 @ ( (=) @ ( $i > $o ) ) ) ) ),
inference(replace_andrewseq,[status(thm)],[4:[bind(A,$thf( (=) @ ( $i > $o ) ))]]) ).
thf(28,plain,
( ( ( sk1 @ ( (=) @ ( $i > $o ) ) )
!= ( sk1 @ ( (=) @ ( $i > $o ) ) ) )
| ( ( sk4 @ ( (=) @ ( $i > $o ) ) )
!= ( sk2 @ ( (=) @ ( $i > $o ) ) ) )
| ( ( sk6 @ ( (=) @ ( $i > $o ) ) )
= ( sk5 @ ( (=) @ ( $i > $o ) ) ) ) ),
inference(lifteq,[status(thm)],[21]) ).
thf(29,plain,
( ( ( sk4 @ ( (=) @ ( $i > $o ) ) )
!= ( sk2 @ ( (=) @ ( $i > $o ) ) ) )
| ( ( sk6 @ ( (=) @ ( $i > $o ) ) )
= ( sk5 @ ( (=) @ ( $i > $o ) ) ) ) ),
inference(simp,[status(thm)],[28]) ).
thf(8,plain,
! [A: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( A @ ( sk1 @ A ) @ ( sk1 @ A ) )
| ( A @ ( sk3 @ A ) @ ( sk4 @ A ) )
| ( A @ ( sk5 @ A ) @ ( sk6 @ A ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(20,plain,
( ( ( sk1 @ ( (=) @ ( $i > $o ) ) )
!= ( sk1 @ ( (=) @ ( $i > $o ) ) ) )
| ( ( sk3 @ ( (=) @ ( $i > $o ) ) )
= ( sk4 @ ( (=) @ ( $i > $o ) ) ) )
| ( ( sk5 @ ( (=) @ ( $i > $o ) ) )
= ( sk6 @ ( (=) @ ( $i > $o ) ) ) ) ),
inference(replace_andrewseq,[status(thm)],[8:[bind(A,$thf( (=) @ ( $i > $o ) ))]]) ).
thf(26,plain,
( ( ( sk1 @ ( (=) @ ( $i > $o ) ) )
!= ( sk1 @ ( (=) @ ( $i > $o ) ) ) )
| ( ( sk4 @ ( (=) @ ( $i > $o ) ) )
= ( sk3 @ ( (=) @ ( $i > $o ) ) ) )
| ( ( sk6 @ ( (=) @ ( $i > $o ) ) )
= ( sk5 @ ( (=) @ ( $i > $o ) ) ) ) ),
inference(lifteq,[status(thm)],[20]) ).
thf(27,plain,
( ( ( sk4 @ ( (=) @ ( $i > $o ) ) )
= ( sk3 @ ( (=) @ ( $i > $o ) ) ) )
| ( ( sk6 @ ( (=) @ ( $i > $o ) ) )
= ( sk5 @ ( (=) @ ( $i > $o ) ) ) ) ),
inference(simp,[status(thm)],[26]) ).
thf(43,plain,
! [B: $i,A: $i] :
( ( ( sk4 @ ( (=) @ ( $i > $o ) ) @ A )
= ( sk3 @ ( (=) @ ( $i > $o ) ) @ A ) )
| ( ( sk6 @ ( (=) @ ( $i > $o ) ) @ B )
= ( sk5 @ ( (=) @ ( $i > $o ) ) @ B ) ) ),
inference(func_ext,[status(esa)],[27]) ).
thf(10,plain,
! [A: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( A @ ( sk1 @ A ) @ ( sk1 @ A ) )
| ( A @ ( sk2 @ A ) @ ( sk3 @ A ) )
| ( ( sk5 @ A @ ( sk7 @ A ) )
!= ( sk6 @ A @ ( sk7 @ A ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(14,plain,
( ( ( sk1 @ ( (=) @ ( $i > $o ) ) )
!= ( sk1 @ ( (=) @ ( $i > $o ) ) ) )
| ( ( sk2 @ ( (=) @ ( $i > $o ) ) )
= ( sk3 @ ( (=) @ ( $i > $o ) ) ) )
| ( ( sk5 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) )
!= ( sk6 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) ) ) ),
inference(replace_andrewseq,[status(thm)],[10:[bind(A,$thf( (=) @ ( $i > $o ) ))]]) ).
thf(24,plain,
( ( ( sk1 @ ( (=) @ ( $i > $o ) ) )
!= ( sk1 @ ( (=) @ ( $i > $o ) ) ) )
| ( ( sk3 @ ( (=) @ ( $i > $o ) ) )
= ( sk2 @ ( (=) @ ( $i > $o ) ) ) )
| ( ( sk6 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) )
!= ( sk5 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) ) ) ),
inference(lifteq,[status(thm)],[14]) ).
thf(25,plain,
( ( ( sk3 @ ( (=) @ ( $i > $o ) ) )
= ( sk2 @ ( (=) @ ( $i > $o ) ) ) )
| ( ( sk6 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) )
!= ( sk5 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) ) ) ),
inference(simp,[status(thm)],[24]) ).
thf(5,plain,
! [A: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( A @ ( sk1 @ A ) @ ( sk1 @ A ) )
| ( A @ ( sk3 @ A ) @ ( sk4 @ A ) )
| ( ( sk5 @ A @ ( sk7 @ A ) )
!= ( sk6 @ A @ ( sk7 @ A ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(13,plain,
( ( ( sk1 @ ( (=) @ ( $i > $o ) ) )
!= ( sk1 @ ( (=) @ ( $i > $o ) ) ) )
| ( ( sk3 @ ( (=) @ ( $i > $o ) ) )
= ( sk4 @ ( (=) @ ( $i > $o ) ) ) )
| ( ( sk5 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) )
!= ( sk6 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) ) ) ),
inference(replace_andrewseq,[status(thm)],[5:[bind(A,$thf( (=) @ ( $i > $o ) ))]]) ).
thf(30,plain,
( ( ( sk1 @ ( (=) @ ( $i > $o ) ) )
!= ( sk1 @ ( (=) @ ( $i > $o ) ) ) )
| ( ( sk4 @ ( (=) @ ( $i > $o ) ) )
= ( sk3 @ ( (=) @ ( $i > $o ) ) ) )
| ( ( sk6 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) )
!= ( sk5 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) ) ) ),
inference(lifteq,[status(thm)],[13]) ).
thf(31,plain,
( ( ( sk4 @ ( (=) @ ( $i > $o ) ) )
= ( sk3 @ ( (=) @ ( $i > $o ) ) ) )
| ( ( sk6 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) )
!= ( sk5 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) ) ) ),
inference(simp,[status(thm)],[30]) ).
thf(7,plain,
! [A: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( A @ ( sk1 @ A ) @ ( sk1 @ A ) )
| ~ ( A @ ( sk2 @ A ) @ ( sk4 @ A ) )
| ( ( sk5 @ A @ ( sk7 @ A ) )
!= ( sk6 @ A @ ( sk7 @ A ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(18,plain,
( ( ( sk1 @ ( (=) @ ( $i > $o ) ) )
!= ( sk1 @ ( (=) @ ( $i > $o ) ) ) )
| ( ( sk2 @ ( (=) @ ( $i > $o ) ) )
!= ( sk4 @ ( (=) @ ( $i > $o ) ) ) )
| ( ( sk5 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) )
!= ( sk6 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) ) ) ),
inference(replace_andrewseq,[status(thm)],[7:[bind(A,$thf( (=) @ ( $i > $o ) ))]]) ).
thf(35,plain,
( ( ( sk1 @ ( (=) @ ( $i > $o ) ) )
!= ( sk1 @ ( (=) @ ( $i > $o ) ) ) )
| ( ( sk4 @ ( (=) @ ( $i > $o ) ) )
!= ( sk2 @ ( (=) @ ( $i > $o ) ) ) )
| ( ( sk6 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) )
!= ( sk5 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) ) ) ),
inference(lifteq,[status(thm)],[18]) ).
thf(36,plain,
( ( ( sk4 @ ( (=) @ ( $i > $o ) ) )
!= ( sk2 @ ( (=) @ ( $i > $o ) ) ) )
| ( ( sk6 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) )
!= ( sk5 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) ) ) ),
inference(simp,[status(thm)],[35]) ).
thf(144,plain,
( ( ( sk6 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) )
!= ( sk5 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) ) )
| ( ( sk3 @ ( (=) @ ( $i > $o ) ) )
!= ( sk2 @ ( (=) @ ( $i > $o ) ) ) )
| ( ( sk4 @ ( (=) @ ( $i > $o ) ) )
!= ( sk4 @ ( (=) @ ( $i > $o ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[31,36]) ).
thf(145,plain,
( ( ( sk6 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) )
!= ( sk5 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) ) )
| ( ( sk3 @ ( (=) @ ( $i > $o ) ) )
!= ( sk2 @ ( (=) @ ( $i > $o ) ) ) ) ),
inference(pattern_uni,[status(thm)],[144:[]]) ).
thf(159,plain,
( ( ( sk6 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) )
!= ( sk5 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) ) )
| ( ( sk3 @ ( (=) @ ( $i > $o ) ) )
!= ( sk3 @ ( (=) @ ( $i > $o ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[25,145]) ).
thf(160,plain,
( ( sk6 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) )
!= ( sk5 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) ) ),
inference(pattern_uni,[status(thm)],[159:[]]) ).
thf(1056,plain,
! [B: $i,A: $i] :
( ( ( sk4 @ ( (=) @ ( $i > $o ) ) @ A )
= ( sk3 @ ( (=) @ ( $i > $o ) ) @ A ) )
| ( ( sk5 @ ( (=) @ ( $i > $o ) ) @ B )
!= ( sk5 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) ) )
| ( ( sk6 @ ( (=) @ ( $i > $o ) ) @ B )
!= ( sk6 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[43,160]) ).
thf(1057,plain,
! [A: $i] :
( ( ( sk4 @ ( (=) @ ( $i > $o ) ) @ A )
= ( sk3 @ ( (=) @ ( $i > $o ) ) @ A ) )
| ( ( sk5 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) )
!= ( sk5 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[1056:[bind(A,$thf( A )),bind(B,$thf( sk7 @ ( (=) @ ( $i > $o ) ) ))]]) ).
thf(1133,plain,
! [A: $i] :
( ( sk4 @ ( (=) @ ( $i > $o ) ) @ A )
= ( sk3 @ ( (=) @ ( $i > $o ) ) @ A ) ),
inference(simp,[status(thm)],[1057]) ).
thf(1185,plain,
( ( ( sk3 @ ( (=) @ ( $i > $o ) ) )
!= ( sk2 @ ( (=) @ ( $i > $o ) ) ) )
| ( ( sk6 @ ( (=) @ ( $i > $o ) ) )
= ( sk5 @ ( (=) @ ( $i > $o ) ) ) ) ),
inference(rewrite,[status(thm)],[29,1133]) ).
thf(1517,plain,
! [A: $i] :
( ( ( sk6 @ ( (=) @ ( $i > $o ) ) @ A )
= ( sk5 @ ( (=) @ ( $i > $o ) ) @ A ) )
| ( ( sk3 @ ( (=) @ ( $i > $o ) ) @ sk15 )
!= ( sk2 @ ( (=) @ ( $i > $o ) ) @ sk15 ) ) ),
inference(func_ext,[status(esa)],[1185]) ).
thf(2909,plain,
! [A: $i] :
( ( ( sk3 @ ( (=) @ ( $i > $o ) ) @ sk15 )
!= ( sk2 @ ( (=) @ ( $i > $o ) ) @ sk15 ) )
| ( ( sk5 @ ( (=) @ ( $i > $o ) ) @ A )
!= ( sk5 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) ) )
| ( ( sk6 @ ( (=) @ ( $i > $o ) ) @ A )
!= ( sk6 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1517,160]) ).
thf(2910,plain,
( ( ( sk3 @ ( (=) @ ( $i > $o ) ) @ sk15 )
!= ( sk2 @ ( (=) @ ( $i > $o ) ) @ sk15 ) )
| ( ( sk5 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) )
!= ( sk5 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2909:[bind(A,$thf( sk7 @ ( (=) @ ( $i > $o ) ) ))]]) ).
thf(3064,plain,
( ( sk3 @ ( (=) @ ( $i > $o ) ) @ sk15 )
!= ( sk2 @ ( (=) @ ( $i > $o ) ) @ sk15 ) ),
inference(simp,[status(thm)],[2910]) ).
thf(12,plain,
! [A: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( A @ ( sk1 @ A ) @ ( sk1 @ A ) )
| ( A @ ( sk2 @ A ) @ ( sk3 @ A ) )
| ( A @ ( sk5 @ A ) @ ( sk6 @ A ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(17,plain,
( ( ( sk1 @ ( (=) @ ( $i > $o ) ) )
!= ( sk1 @ ( (=) @ ( $i > $o ) ) ) )
| ( ( sk2 @ ( (=) @ ( $i > $o ) ) )
= ( sk3 @ ( (=) @ ( $i > $o ) ) ) )
| ( ( sk5 @ ( (=) @ ( $i > $o ) ) )
= ( sk6 @ ( (=) @ ( $i > $o ) ) ) ) ),
inference(replace_andrewseq,[status(thm)],[12:[bind(A,$thf( (=) @ ( $i > $o ) ))]]) ).
thf(32,plain,
( ( ( sk1 @ ( (=) @ ( $i > $o ) ) )
!= ( sk1 @ ( (=) @ ( $i > $o ) ) ) )
| ( ( sk3 @ ( (=) @ ( $i > $o ) ) )
= ( sk2 @ ( (=) @ ( $i > $o ) ) ) )
| ( ( sk6 @ ( (=) @ ( $i > $o ) ) )
= ( sk5 @ ( (=) @ ( $i > $o ) ) ) ) ),
inference(lifteq,[status(thm)],[17]) ).
thf(33,plain,
( ( ( sk3 @ ( (=) @ ( $i > $o ) ) )
= ( sk2 @ ( (=) @ ( $i > $o ) ) ) )
| ( ( sk6 @ ( (=) @ ( $i > $o ) ) )
= ( sk5 @ ( (=) @ ( $i > $o ) ) ) ) ),
inference(simp,[status(thm)],[32]) ).
thf(49,plain,
! [B: $i,A: $i] :
( ( ( sk3 @ ( (=) @ ( $i > $o ) ) @ A )
= ( sk2 @ ( (=) @ ( $i > $o ) ) @ A ) )
| ( ( sk6 @ ( (=) @ ( $i > $o ) ) @ B )
= ( sk5 @ ( (=) @ ( $i > $o ) ) @ B ) ) ),
inference(func_ext,[status(esa)],[33]) ).
thf(4107,plain,
! [B: $i,A: $i] :
( ( ( sk3 @ ( (=) @ ( $i > $o ) ) @ A )
= ( sk2 @ ( (=) @ ( $i > $o ) ) @ A ) )
| ( ( sk5 @ ( (=) @ ( $i > $o ) ) @ B )
!= ( sk5 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) ) )
| ( ( sk6 @ ( (=) @ ( $i > $o ) ) @ B )
!= ( sk6 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[49,160]) ).
thf(4108,plain,
! [A: $i] :
( ( ( sk3 @ ( (=) @ ( $i > $o ) ) @ A )
= ( sk2 @ ( (=) @ ( $i > $o ) ) @ A ) )
| ( ( sk5 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) )
!= ( sk5 @ ( (=) @ ( $i > $o ) ) @ ( sk7 @ ( (=) @ ( $i > $o ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4107:[bind(A,$thf( A )),bind(B,$thf( sk7 @ ( (=) @ ( $i > $o ) ) ))]]) ).
thf(4294,plain,
! [A: $i] :
( ( sk3 @ ( (=) @ ( $i > $o ) ) @ A )
= ( sk2 @ ( (=) @ ( $i > $o ) ) @ A ) ),
inference(simp,[status(thm)],[4108]) ).
thf(4414,plain,
( ( sk2 @ ( (=) @ ( $i > $o ) ) @ sk15 )
!= ( sk2 @ ( (=) @ ( $i > $o ) ) @ sk15 ) ),
inference(rewrite,[status(thm)],[3064,4294]) ).
thf(4415,plain,
$false,
inference(simp,[status(thm)],[4414]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV158^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.12 % Command : run_Leo-III %s %d SAT
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 19:42:40 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.89/0.82 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.16/0.93 % [INFO] Parsing done (103ms).
% 1.16/0.94 % [INFO] Running in sequential loop mode.
% 1.53/1.16 % [INFO] nitpick registered as external prover.
% 1.53/1.16 % [INFO] Scanning for conjecture ...
% 1.70/1.22 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.87/1.24 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.87/1.24 % [INFO] Problem is higher-order (TPTP THF).
% 1.87/1.24 % [INFO] Type checking passed.
% 1.87/1.24 % [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 ...
% 80.45/14.42 % [INFO] Killing All external provers ...
% 80.45/14.43 % Time passed: 13906ms (effective reasoning time: 13485ms)
% 80.45/14.43 % 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)>
% 80.45/14.43 % Axioms used in derivation (0):
% 80.45/14.43 % No. of inferences in proof: 46
% 80.45/14.43 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 13906 ms resp. 13485 ms w/o parsing
% 80.45/14.51 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 80.45/14.51 % [INFO] Killing All external provers ...
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