TSTP Solution File: SEV040^5 by Leo-III-SAT---1.7.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SEV040^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n016.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 21 04:10:48 EDT 2024
% Result : Theorem 69.23s 10.81s
% Output : Refutation 69.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 18
% Syntax : Number of formulae : 195 ( 10 unt; 17 typ; 0 def)
% Number of atoms : 778 ( 127 equ; 0 cnn)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 1691 ( 282 ~; 370 |; 65 &; 930 @)
% ( 0 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 56 ( 56 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 13 con; 0-2 aty)
% Number of variables : 216 ( 8 ^ 208 !; 0 ?; 216 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(sk1_type,type,
sk1: $o ).
thf(sk2_type,type,
sk2: a > a > $o ).
thf(sk3_type,type,
sk3: a > a > $o ).
thf(sk4_type,type,
sk4: a ).
thf(sk5_type,type,
sk5: a ).
thf(sk6_type,type,
sk6: a ).
thf(sk7_type,type,
sk7: a ).
thf(sk8_type,type,
sk8: a ).
thf(sk9_type,type,
sk9: a > a > $o ).
thf(sk10_type,type,
sk10: a > a > $o ).
thf(sk11_type,type,
sk11: a > a > $o ).
thf(sk12_type,type,
sk12: a ).
thf(sk13_type,type,
sk13: a ).
thf(sk14_type,type,
sk14: a ).
thf(sk15_type,type,
sk15: a ).
thf(sk16_type,type,
sk16: a ).
thf(1,conjecture,
( ! [A: a > a > $o,B: a > a > $o] :
( ( ! [C: a,D: a] :
( ( A @ C @ D )
=> ( A @ D @ C ) )
& ! [C: a,D: a,E: a] :
( ( ( A @ C @ D )
& ( A @ D @ E ) )
=> ( A @ C @ E ) )
& ( A = B ) )
=> ( ! [C: a,D: a] :
( ( B @ C @ D )
=> ( B @ D @ C ) )
& ! [C: a,D: a,E: a] :
( ( ( B @ C @ D )
& ( B @ D @ E ) )
=> ( B @ C @ E ) )
& ( B = A ) ) )
& ! [A: a > a > $o,B: a > a > $o,C: a > a > $o] :
( ( ! [D: a,E: a] :
( ( A @ D @ E )
=> ( A @ E @ D ) )
& ! [D: a,E: a,F: a] :
( ( ( A @ D @ E )
& ( A @ E @ F ) )
=> ( A @ D @ F ) )
& ( A = B )
& ! [D: a,E: a] :
( ( B @ D @ E )
=> ( B @ E @ D ) )
& ! [D: a,E: a,F: a] :
( ( ( B @ D @ E )
& ( B @ E @ F ) )
=> ( B @ D @ F ) )
& ( B = C ) )
=> ( ! [D: a,E: a] :
( ( A @ D @ E )
=> ( A @ E @ D ) )
& ! [D: a,E: a,F: a] :
( ( ( A @ D @ E )
& ( A @ E @ F ) )
=> ( A @ D @ F ) )
& ( A = C ) ) )
& ( ( ^ [A: a > a > $o,B: a > a > $o] :
( ! [C: a,D: a] :
( ( A @ C @ D )
=> ( A @ D @ C ) )
& ! [C: a,D: a,E: a] :
( ( ( A @ C @ D )
& ( A @ D @ E ) )
=> ( A @ C @ E ) )
& ( A = B ) ) )
= ( ^ [A: a > a > $o,B: a > a > $o] :
( ! [C: a,D: a] :
( ( A @ C @ D )
=> ( A @ D @ C ) )
& ! [C: a,D: a,E: a] :
( ( ( A @ C @ D )
& ( A @ D @ E ) )
=> ( A @ C @ E ) )
& ( A = B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM515_pme) ).
thf(2,negated_conjecture,
~ ( ! [A: a > a > $o,B: a > a > $o] :
( ( ! [C: a,D: a] :
( ( A @ C @ D )
=> ( A @ D @ C ) )
& ! [C: a,D: a,E: a] :
( ( ( A @ C @ D )
& ( A @ D @ E ) )
=> ( A @ C @ E ) )
& ( A = B ) )
=> ( ! [C: a,D: a] :
( ( B @ C @ D )
=> ( B @ D @ C ) )
& ! [C: a,D: a,E: a] :
( ( ( B @ C @ D )
& ( B @ D @ E ) )
=> ( B @ C @ E ) )
& ( B = A ) ) )
& ! [A: a > a > $o,B: a > a > $o,C: a > a > $o] :
( ( ! [D: a,E: a] :
( ( A @ D @ E )
=> ( A @ E @ D ) )
& ! [D: a,E: a,F: a] :
( ( ( A @ D @ E )
& ( A @ E @ F ) )
=> ( A @ D @ F ) )
& ( A = B )
& ! [D: a,E: a] :
( ( B @ D @ E )
=> ( B @ E @ D ) )
& ! [D: a,E: a,F: a] :
( ( ( B @ D @ E )
& ( B @ E @ F ) )
=> ( B @ D @ F ) )
& ( B = C ) )
=> ( ! [D: a,E: a] :
( ( A @ D @ E )
=> ( A @ E @ D ) )
& ! [D: a,E: a,F: a] :
( ( ( A @ D @ E )
& ( A @ E @ F ) )
=> ( A @ D @ F ) )
& ( A = C ) ) )
& ( ( ^ [A: a > a > $o,B: a > a > $o] :
( ! [C: a,D: a] :
( ( A @ C @ D )
=> ( A @ D @ C ) )
& ! [C: a,D: a,E: a] :
( ( ( A @ C @ D )
& ( A @ D @ E ) )
=> ( A @ C @ E ) )
& ( A = B ) ) )
= ( ^ [A: a > a > $o,B: a > a > $o] :
( ! [C: a,D: a] :
( ( A @ C @ D )
=> ( A @ D @ C ) )
& ! [C: a,D: a,E: a] :
( ( ( A @ C @ D )
& ( A @ D @ E ) )
=> ( A @ C @ E ) )
& ( A = B ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: a > a > $o,B: a > a > $o] :
( ( ! [C: a,D: a] :
( ( A @ C @ D )
=> ( A @ D @ C ) )
& ! [C: a,D: a,E: a] :
( ( ( A @ C @ D )
& ( A @ D @ E ) )
=> ( A @ C @ E ) )
& ( A = B ) )
=> ( ! [C: a,D: a] :
( ( B @ C @ D )
=> ( B @ D @ C ) )
& ! [C: a,D: a,E: a] :
( ( ( B @ C @ D )
& ( B @ D @ E ) )
=> ( B @ C @ E ) )
& ( B = A ) ) )
& ! [A: a > a > $o,B: a > a > $o,C: a > a > $o] :
( ( ! [D: a,E: a] :
( ( A @ D @ E )
=> ( A @ E @ D ) )
& ! [D: a,E: a,F: a] :
( ( ( A @ D @ E )
& ( A @ E @ F ) )
=> ( A @ D @ F ) )
& ( A = B )
& ! [D: a,E: a] :
( ( B @ D @ E )
=> ( B @ E @ D ) )
& ! [D: a,E: a,F: a] :
( ( ( B @ D @ E )
& ( B @ E @ F ) )
=> ( B @ D @ F ) )
& ( B = C ) )
=> ( ! [D: a,E: a] :
( ( A @ D @ E )
=> ( A @ E @ D ) )
& ! [D: a,E: a,F: a] :
( ( ( A @ D @ E )
& ( A @ E @ F ) )
=> ( A @ D @ F ) )
& ( A = C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(13,plain,
! [B: a,A: a] :
( ~ ( sk2 @ A @ B )
| ( sk2 @ B @ A )
| ~ sk1 ),
inference(cnf,[status(esa)],[3]) ).
thf(10,plain,
( ( sk2 = sk3 )
| ~ sk1 ),
inference(cnf,[status(esa)],[3]) ).
thf(26,plain,
( ( sk3 = sk2 )
| ~ sk1 ),
inference(lifteq,[status(thm)],[10]) ).
thf(46,plain,
! [B: a,A: a] :
( ( ( sk3 @ A @ B )
= ( sk2 @ A @ B ) )
| ~ sk1 ),
inference(func_ext,[status(esa)],[26]) ).
thf(24,plain,
( ~ ( sk3 @ sk5 @ sk4 )
| ( sk3 @ sk7 @ sk8 )
| ( sk3 != sk2 )
| ~ sk1 ),
inference(cnf,[status(esa)],[3]) ).
thf(27,plain,
( ( sk3 != sk2 )
| ~ ( sk3 @ sk5 @ sk4 )
| ( sk3 @ sk7 @ sk8 )
| ~ sk1 ),
inference(lifteq,[status(thm)],[24]) ).
thf(126,plain,
( ~ sk1
| ~ ( sk3 @ sk5 @ sk4 )
| ( sk3 @ sk7 @ sk8 )
| ( sk3 != sk3 ) ),
inference(paramod_ordered,[status(thm)],[26,27]) ).
thf(127,plain,
( ~ sk1
| ~ ( sk3 @ sk5 @ sk4 )
| ( sk3 @ sk7 @ sk8 ) ),
inference(pattern_uni,[status(thm)],[126:[]]) ).
thf(161,plain,
! [B: a,A: a] :
( ~ sk1
| ~ ( sk3 @ sk5 @ sk4 )
| ( sk2 @ A @ B )
| ( ( sk3 @ sk7 @ sk8 )
!= ( sk3 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[127,46]) ).
thf(162,plain,
( ~ sk1
| ~ ( sk3 @ sk5 @ sk4 )
| ( sk2 @ sk7 @ sk8 ) ),
inference(pattern_uni,[status(thm)],[161:[bind(A,$thf( sk7 )),bind(B,$thf( sk8 ))]]) ).
thf(200,plain,
! [B: a,A: a] :
( ~ sk1
| ~ ( sk2 @ A @ B )
| ( sk2 @ sk7 @ sk8 )
| ( ( sk3 @ A @ B )
!= ( sk3 @ sk5 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[46,162]) ).
thf(201,plain,
( ~ sk1
| ~ ( sk2 @ sk5 @ sk4 )
| ( sk2 @ sk7 @ sk8 ) ),
inference(pattern_uni,[status(thm)],[200:[bind(A,$thf( sk5 )),bind(B,$thf( sk4 ))]]) ).
thf(266,plain,
! [B: a,A: a] :
( ~ sk1
| ~ ( sk2 @ sk5 @ sk4 )
| ( sk2 @ B @ A )
| ( ( sk2 @ sk7 @ sk8 )
!= ( sk2 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[201,13]) ).
thf(267,plain,
( ~ sk1
| ~ ( sk2 @ sk5 @ sk4 )
| ( sk2 @ sk8 @ sk7 ) ),
inference(pattern_uni,[status(thm)],[266:[bind(A,$thf( sk7 )),bind(B,$thf( sk8 ))]]) ).
thf(366,plain,
! [B: a,A: a] :
( ~ ( sk2 @ A @ B )
| ~ sk1
| ( sk2 @ sk8 @ sk7 )
| ( ( sk2 @ B @ A )
!= ( sk2 @ sk5 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[13,267]) ).
thf(367,plain,
( ~ ( sk2 @ sk4 @ sk5 )
| ~ sk1
| ( sk2 @ sk8 @ sk7 ) ),
inference(pattern_uni,[status(thm)],[366:[bind(A,$thf( sk4 )),bind(B,$thf( sk5 ))]]) ).
thf(63,plain,
! [B: a,A: a] :
( ~ sk1
| ( sk3 @ A @ B )
| ~ ( sk2 @ A @ B ) ),
inference(bool_ext,[status(thm)],[46]) ).
thf(2543,plain,
! [B: a,A: a] :
( ~ ( sk2 @ sk4 @ sk5 )
| ~ sk1
| ( sk3 @ A @ B )
| ( ( sk2 @ sk8 @ sk7 )
!= ( sk2 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[367,63]) ).
thf(2544,plain,
( ~ ( sk2 @ sk4 @ sk5 )
| ~ sk1
| ( sk3 @ sk8 @ sk7 ) ),
inference(pattern_uni,[status(thm)],[2543:[bind(A,$thf( sk8 )),bind(B,$thf( sk7 ))]]) ).
thf(20,plain,
( sk1
| ( sk9 = sk10 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(29,plain,
( ( sk10 = sk9 )
| sk1 ),
inference(lifteq,[status(thm)],[20]) ).
thf(7,plain,
( sk1
| ( sk10 = sk11 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(36,plain,
( ( sk11 = sk10 )
| sk1 ),
inference(lifteq,[status(thm)],[7]) ).
thf(22,plain,
( sk1
| ( sk9 @ sk12 @ sk13 )
| ( sk9 @ sk14 @ sk15 )
| ( sk9 != sk11 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(34,plain,
( ( sk11 != sk9 )
| sk1
| ( sk9 @ sk12 @ sk13 )
| ( sk9 @ sk14 @ sk15 ) ),
inference(lifteq,[status(thm)],[22]) ).
thf(119,plain,
( sk1
| ( sk10 != sk9 )
| ( sk9 @ sk12 @ sk13 )
| ( sk9 @ sk14 @ sk15 )
| ( sk11 != sk11 ) ),
inference(paramod_ordered,[status(thm)],[36,34]) ).
thf(120,plain,
( sk1
| ( sk10 != sk9 )
| ( sk9 @ sk12 @ sk13 )
| ( sk9 @ sk14 @ sk15 ) ),
inference(pattern_uni,[status(thm)],[119:[]]) ).
thf(344,plain,
( sk1
| ( sk9 @ sk12 @ sk13 )
| ( sk9 @ sk14 @ sk15 )
| ( sk10 != sk10 ) ),
inference(paramod_ordered,[status(thm)],[29,120]) ).
thf(345,plain,
( sk1
| ( sk9 @ sk12 @ sk13 )
| ( sk9 @ sk14 @ sk15 ) ),
inference(pattern_uni,[status(thm)],[344:[]]) ).
thf(9,plain,
( sk1
| ( sk9 @ sk12 @ sk13 )
| ( sk9 @ sk15 @ sk16 )
| ( sk9 != sk11 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(32,plain,
( ( sk11 != sk9 )
| sk1
| ( sk9 @ sk12 @ sk13 )
| ( sk9 @ sk15 @ sk16 ) ),
inference(lifteq,[status(thm)],[9]) ).
thf(85,plain,
( sk1
| ( sk10 != sk9 )
| ( sk9 @ sk12 @ sk13 )
| ( sk9 @ sk15 @ sk16 )
| ( sk11 != sk11 ) ),
inference(paramod_ordered,[status(thm)],[36,32]) ).
thf(86,plain,
( sk1
| ( sk10 != sk9 )
| ( sk9 @ sk12 @ sk13 )
| ( sk9 @ sk15 @ sk16 ) ),
inference(pattern_uni,[status(thm)],[85:[]]) ).
thf(198,plain,
( sk1
| ( sk9 @ sk12 @ sk13 )
| ( sk9 @ sk15 @ sk16 )
| ( sk10 != sk10 ) ),
inference(paramod_ordered,[status(thm)],[29,86]) ).
thf(199,plain,
( sk1
| ( sk9 @ sk12 @ sk13 )
| ( sk9 @ sk15 @ sk16 ) ),
inference(pattern_uni,[status(thm)],[198:[]]) ).
thf(14,plain,
! [C: a,B: a,A: a] :
( sk1
| ~ ( sk9 @ A @ B )
| ~ ( sk9 @ B @ C )
| ( sk9 @ A @ C ) ),
inference(cnf,[status(esa)],[3]) ).
thf(28,plain,
! [C: a,B: a,A: a] :
( sk1
| ~ ( sk9 @ A @ B )
| ~ ( sk9 @ B @ C )
| ( sk9 @ A @ C ) ),
inference(simp,[status(thm)],[14]) ).
thf(254,plain,
! [C: a,B: a,A: a] :
( sk1
| ( sk9 @ sk12 @ sk13 )
| ~ ( sk9 @ A @ B )
| ( sk9 @ A @ C )
| ( ( sk9 @ sk15 @ sk16 )
!= ( sk9 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[199,28]) ).
thf(255,plain,
! [A: a] :
( sk1
| ( sk9 @ sk12 @ sk13 )
| ~ ( sk9 @ A @ sk15 )
| ( sk9 @ A @ sk16 ) ),
inference(pattern_uni,[status(thm)],[254:[bind(A,$thf( A )),bind(B,$thf( sk15 )),bind(C,$thf( sk16 ))]]) ).
thf(1374,plain,
! [A: a] :
( sk1
| ( sk9 @ sk12 @ sk13 )
| ( sk9 @ A @ sk16 )
| ( ( sk9 @ sk14 @ sk15 )
!= ( sk9 @ A @ sk15 ) ) ),
inference(paramod_ordered,[status(thm)],[345,255]) ).
thf(1375,plain,
( sk1
| ( sk9 @ sk12 @ sk13 )
| ( sk9 @ sk14 @ sk16 ) ),
inference(pattern_uni,[status(thm)],[1374:[bind(A,$thf( sk14 ))]]) ).
thf(17,plain,
( sk1
| ( sk9 @ sk12 @ sk13 )
| ~ ( sk9 @ sk14 @ sk16 )
| ( sk9 != sk11 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(33,plain,
( ( sk11 != sk9 )
| sk1
| ( sk9 @ sk12 @ sk13 )
| ~ ( sk9 @ sk14 @ sk16 ) ),
inference(lifteq,[status(thm)],[17]) ).
thf(1476,plain,
( sk1
| ( sk9 @ sk12 @ sk13 )
| ( sk11 != sk9 )
| ( ( sk9 @ sk14 @ sk16 )
!= ( sk9 @ sk14 @ sk16 ) ) ),
inference(paramod_ordered,[status(thm)],[1375,33]) ).
thf(1477,plain,
( sk1
| ( sk9 @ sk12 @ sk13 )
| ( sk11 != sk9 ) ),
inference(pattern_uni,[status(thm)],[1476:[]]) ).
thf(1497,plain,
( sk1
| ( sk9 @ sk12 @ sk13 )
| ( sk10 != sk9 )
| ( sk11 != sk11 ) ),
inference(paramod_ordered,[status(thm)],[36,1477]) ).
thf(1498,plain,
( sk1
| ( sk9 @ sk12 @ sk13 )
| ( sk10 != sk9 ) ),
inference(pattern_uni,[status(thm)],[1497:[]]) ).
thf(1500,plain,
( sk1
| ( sk9 @ sk12 @ sk13 )
| ( sk10 != sk10 ) ),
inference(paramod_ordered,[status(thm)],[29,1498]) ).
thf(1501,plain,
( sk1
| ( sk9 @ sk12 @ sk13 ) ),
inference(pattern_uni,[status(thm)],[1500:[]]) ).
thf(21,plain,
! [B: a,A: a] :
( sk1
| ~ ( sk9 @ A @ B )
| ( sk9 @ B @ A ) ),
inference(cnf,[status(esa)],[3]) ).
thf(31,plain,
! [B: a,A: a] :
( sk1
| ~ ( sk9 @ A @ B )
| ( sk9 @ B @ A ) ),
inference(simp,[status(thm)],[21]) ).
thf(1509,plain,
! [B: a,A: a] :
( sk1
| ( sk9 @ B @ A )
| ( ( sk9 @ sk12 @ sk13 )
!= ( sk9 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[1501,31]) ).
thf(1510,plain,
( sk1
| ( sk9 @ sk13 @ sk12 ) ),
inference(pattern_uni,[status(thm)],[1509:[bind(A,$thf( sk12 )),bind(B,$thf( sk13 ))]]) ).
thf(8,plain,
( sk1
| ~ ( sk9 @ sk13 @ sk12 )
| ( sk9 @ sk14 @ sk15 )
| ( sk9 != sk11 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(41,plain,
( ( sk11 != sk9 )
| sk1
| ~ ( sk9 @ sk13 @ sk12 )
| ( sk9 @ sk14 @ sk15 ) ),
inference(lifteq,[status(thm)],[8]) ).
thf(1548,plain,
( sk1
| ( sk11 != sk9 )
| ( sk9 @ sk14 @ sk15 )
| ( ( sk9 @ sk13 @ sk12 )
!= ( sk9 @ sk13 @ sk12 ) ) ),
inference(paramod_ordered,[status(thm)],[1510,41]) ).
thf(1549,plain,
( sk1
| ( sk11 != sk9 )
| ( sk9 @ sk14 @ sk15 ) ),
inference(pattern_uni,[status(thm)],[1548:[]]) ).
thf(1798,plain,
( sk1
| ( sk10 != sk9 )
| ( sk9 @ sk14 @ sk15 )
| ( sk11 != sk11 ) ),
inference(paramod_ordered,[status(thm)],[36,1549]) ).
thf(1799,plain,
( sk1
| ( sk10 != sk9 )
| ( sk9 @ sk14 @ sk15 ) ),
inference(pattern_uni,[status(thm)],[1798:[]]) ).
thf(1801,plain,
( sk1
| ( sk9 @ sk14 @ sk15 )
| ( sk10 != sk10 ) ),
inference(paramod_ordered,[status(thm)],[29,1799]) ).
thf(1802,plain,
( sk1
| ( sk9 @ sk14 @ sk15 ) ),
inference(pattern_uni,[status(thm)],[1801:[]]) ).
thf(5,plain,
( sk1
| ~ ( sk9 @ sk13 @ sk12 )
| ( sk9 @ sk15 @ sk16 )
| ( sk9 != sk11 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(25,plain,
( ( sk11 != sk9 )
| sk1
| ~ ( sk9 @ sk13 @ sk12 )
| ( sk9 @ sk15 @ sk16 ) ),
inference(lifteq,[status(thm)],[5]) ).
thf(1517,plain,
( sk1
| ( sk11 != sk9 )
| ( sk9 @ sk15 @ sk16 )
| ( ( sk9 @ sk13 @ sk12 )
!= ( sk9 @ sk13 @ sk12 ) ) ),
inference(paramod_ordered,[status(thm)],[1510,25]) ).
thf(1518,plain,
( sk1
| ( sk11 != sk9 )
| ( sk9 @ sk15 @ sk16 ) ),
inference(pattern_uni,[status(thm)],[1517:[]]) ).
thf(1531,plain,
( sk1
| ( sk10 != sk9 )
| ( sk9 @ sk15 @ sk16 )
| ( sk11 != sk11 ) ),
inference(paramod_ordered,[status(thm)],[36,1518]) ).
thf(1532,plain,
( sk1
| ( sk10 != sk9 )
| ( sk9 @ sk15 @ sk16 ) ),
inference(pattern_uni,[status(thm)],[1531:[]]) ).
thf(1558,plain,
( sk1
| ( sk9 @ sk15 @ sk16 )
| ( sk10 != sk10 ) ),
inference(paramod_ordered,[status(thm)],[29,1532]) ).
thf(1559,plain,
( sk1
| ( sk9 @ sk15 @ sk16 ) ),
inference(pattern_uni,[status(thm)],[1558:[]]) ).
thf(1562,plain,
! [C: a,B: a,A: a] :
( sk1
| ~ ( sk9 @ A @ B )
| ( sk9 @ A @ C )
| ( ( sk9 @ sk15 @ sk16 )
!= ( sk9 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[1559,28]) ).
thf(1563,plain,
! [A: a] :
( sk1
| ~ ( sk9 @ A @ sk15 )
| ( sk9 @ A @ sk16 ) ),
inference(pattern_uni,[status(thm)],[1562:[bind(A,$thf( A )),bind(B,$thf( sk15 )),bind(C,$thf( sk16 ))]]) ).
thf(7666,plain,
! [A: a] :
( sk1
| ( sk9 @ A @ sk16 )
| ( ( sk9 @ sk14 @ sk15 )
!= ( sk9 @ A @ sk15 ) ) ),
inference(paramod_ordered,[status(thm)],[1802,1563]) ).
thf(7667,plain,
( sk1
| ( sk9 @ sk14 @ sk16 ) ),
inference(pattern_uni,[status(thm)],[7666:[bind(A,$thf( sk14 ))]]) ).
thf(16,plain,
( sk1
| ~ ( sk9 @ sk13 @ sk12 )
| ~ ( sk9 @ sk14 @ sk16 )
| ( sk9 != sk11 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(38,plain,
( ( sk11 != sk9 )
| sk1
| ~ ( sk9 @ sk13 @ sk12 )
| ~ ( sk9 @ sk14 @ sk16 ) ),
inference(lifteq,[status(thm)],[16]) ).
thf(1523,plain,
( sk1
| ( sk11 != sk9 )
| ~ ( sk9 @ sk14 @ sk16 )
| ( ( sk9 @ sk13 @ sk12 )
!= ( sk9 @ sk13 @ sk12 ) ) ),
inference(paramod_ordered,[status(thm)],[1510,38]) ).
thf(1524,plain,
( sk1
| ( sk11 != sk9 )
| ~ ( sk9 @ sk14 @ sk16 ) ),
inference(pattern_uni,[status(thm)],[1523:[]]) ).
thf(1539,plain,
( sk1
| ( sk10 != sk9 )
| ~ ( sk9 @ sk14 @ sk16 )
| ( sk11 != sk11 ) ),
inference(paramod_ordered,[status(thm)],[36,1524]) ).
thf(1540,plain,
( sk1
| ( sk10 != sk9 )
| ~ ( sk9 @ sk14 @ sk16 ) ),
inference(pattern_uni,[status(thm)],[1539:[]]) ).
thf(1638,plain,
( sk1
| ~ ( sk9 @ sk14 @ sk16 )
| ( sk10 != sk10 ) ),
inference(paramod_ordered,[status(thm)],[29,1540]) ).
thf(1639,plain,
( sk1
| ~ ( sk9 @ sk14 @ sk16 ) ),
inference(pattern_uni,[status(thm)],[1638:[]]) ).
thf(7809,plain,
( sk1
| ( ( sk9 @ sk14 @ sk16 )
!= ( sk9 @ sk14 @ sk16 ) ) ),
inference(paramod_ordered,[status(thm)],[7667,1639]) ).
thf(7810,plain,
sk1,
inference(pattern_uni,[status(thm)],[7809:[]]) ).
thf(7843,plain,
( ~ ( sk2 @ sk4 @ sk5 )
| ~ $true
| ( sk3 @ sk8 @ sk7 ) ),
inference(rewrite,[status(thm)],[2544,7810]) ).
thf(7844,plain,
( ~ ( sk2 @ sk4 @ sk5 )
| ( sk3 @ sk8 @ sk7 ) ),
inference(simp,[status(thm)],[7843]) ).
thf(7831,plain,
! [B: a,A: a] :
( ( ( sk3 @ A @ B )
= ( sk2 @ A @ B ) )
| ~ $true ),
inference(rewrite,[status(thm)],[46,7810]) ).
thf(7832,plain,
! [B: a,A: a] :
( ( sk3 @ A @ B )
= ( sk2 @ A @ B ) ),
inference(simp,[status(thm)],[7831]) ).
thf(8206,plain,
( ~ ( sk2 @ sk4 @ sk5 )
| ( sk2 @ sk8 @ sk7 ) ),
inference(rewrite,[status(thm)],[7844,7832]) ).
thf(12,plain,
( ( sk3 @ sk4 @ sk5 )
| ( sk3 @ sk7 @ sk8 )
| ( sk3 != sk2 )
| ~ sk1 ),
inference(cnf,[status(esa)],[3]) ).
thf(35,plain,
( ( sk3 != sk2 )
| ( sk3 @ sk4 @ sk5 )
| ( sk3 @ sk7 @ sk8 )
| ~ sk1 ),
inference(lifteq,[status(thm)],[12]) ).
thf(681,plain,
( ~ sk1
| ( sk3 @ sk4 @ sk5 )
| ( sk3 @ sk7 @ sk8 )
| ( sk3 != sk3 ) ),
inference(paramod_ordered,[status(thm)],[26,35]) ).
thf(682,plain,
( ~ sk1
| ( sk3 @ sk4 @ sk5 )
| ( sk3 @ sk7 @ sk8 ) ),
inference(pattern_uni,[status(thm)],[681:[]]) ).
thf(722,plain,
! [B: a,A: a] :
( ~ sk1
| ( sk3 @ sk4 @ sk5 )
| ( sk2 @ A @ B )
| ( ( sk3 @ sk7 @ sk8 )
!= ( sk3 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[682,46]) ).
thf(723,plain,
( ~ sk1
| ( sk3 @ sk4 @ sk5 )
| ( sk2 @ sk7 @ sk8 ) ),
inference(pattern_uni,[status(thm)],[722:[bind(A,$thf( sk7 )),bind(B,$thf( sk8 ))]]) ).
thf(762,plain,
! [B: a,A: a] :
( ~ sk1
| ( sk2 @ sk7 @ sk8 )
| ( sk2 @ A @ B )
| ( ( sk3 @ sk4 @ sk5 )
!= ( sk3 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[723,46]) ).
thf(763,plain,
( ~ sk1
| ( sk2 @ sk7 @ sk8 )
| ( sk2 @ sk4 @ sk5 ) ),
inference(pattern_uni,[status(thm)],[762:[bind(A,$thf( sk4 )),bind(B,$thf( sk5 ))]]) ).
thf(927,plain,
! [B: a,A: a] :
( ~ sk1
| ( sk2 @ sk4 @ sk5 )
| ( sk2 @ B @ A )
| ( ( sk2 @ sk7 @ sk8 )
!= ( sk2 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[763,13]) ).
thf(928,plain,
( ~ sk1
| ( sk2 @ sk4 @ sk5 )
| ( sk2 @ sk8 @ sk7 ) ),
inference(pattern_uni,[status(thm)],[927:[bind(A,$thf( sk7 )),bind(B,$thf( sk8 ))]]) ).
thf(2565,plain,
! [B: a,A: a] :
( ~ sk1
| ( sk2 @ sk4 @ sk5 )
| ( sk3 @ A @ B )
| ( ( sk2 @ sk8 @ sk7 )
!= ( sk2 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[928,63]) ).
thf(2566,plain,
( ~ sk1
| ( sk2 @ sk4 @ sk5 )
| ( sk3 @ sk8 @ sk7 ) ),
inference(pattern_uni,[status(thm)],[2565:[bind(A,$thf( sk8 )),bind(B,$thf( sk7 ))]]) ).
thf(7891,plain,
( ~ $true
| ( sk2 @ sk4 @ sk5 )
| ( sk3 @ sk8 @ sk7 ) ),
inference(rewrite,[status(thm)],[2566,7810]) ).
thf(7892,plain,
( ( sk2 @ sk4 @ sk5 )
| ( sk3 @ sk8 @ sk7 ) ),
inference(simp,[status(thm)],[7891]) ).
thf(8241,plain,
( ( sk2 @ sk4 @ sk5 )
| ( sk2 @ sk8 @ sk7 ) ),
inference(rewrite,[status(thm)],[7892,7832]) ).
thf(19,plain,
( ( sk3 @ sk4 @ sk5 )
| ( sk3 @ sk6 @ sk7 )
| ( sk3 != sk2 )
| ~ sk1 ),
inference(cnf,[status(esa)],[3]) ).
thf(42,plain,
( ( sk3 != sk2 )
| ( sk3 @ sk4 @ sk5 )
| ( sk3 @ sk6 @ sk7 )
| ~ sk1 ),
inference(lifteq,[status(thm)],[19]) ).
thf(1604,plain,
( ~ sk1
| ( sk3 @ sk4 @ sk5 )
| ( sk3 @ sk6 @ sk7 )
| ( sk3 != sk3 ) ),
inference(paramod_ordered,[status(thm)],[26,42]) ).
thf(1605,plain,
( ~ sk1
| ( sk3 @ sk4 @ sk5 )
| ( sk3 @ sk6 @ sk7 ) ),
inference(pattern_uni,[status(thm)],[1604:[]]) ).
thf(1960,plain,
! [B: a,A: a] :
( ~ sk1
| ( sk3 @ sk4 @ sk5 )
| ( sk2 @ A @ B )
| ( ( sk3 @ sk6 @ sk7 )
!= ( sk3 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[1605,46]) ).
thf(1961,plain,
( ~ sk1
| ( sk3 @ sk4 @ sk5 )
| ( sk2 @ sk6 @ sk7 ) ),
inference(pattern_uni,[status(thm)],[1960:[bind(A,$thf( sk6 )),bind(B,$thf( sk7 ))]]) ).
thf(2226,plain,
! [B: a,A: a] :
( ~ sk1
| ( sk2 @ sk6 @ sk7 )
| ( sk2 @ A @ B )
| ( ( sk3 @ sk4 @ sk5 )
!= ( sk3 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[1961,46]) ).
thf(2227,plain,
( ~ sk1
| ( sk2 @ sk6 @ sk7 )
| ( sk2 @ sk4 @ sk5 ) ),
inference(pattern_uni,[status(thm)],[2226:[bind(A,$thf( sk4 )),bind(B,$thf( sk5 ))]]) ).
thf(2926,plain,
! [B: a,A: a] :
( ~ sk1
| ( sk2 @ sk4 @ sk5 )
| ( sk2 @ B @ A )
| ( ( sk2 @ sk6 @ sk7 )
!= ( sk2 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[2227,13]) ).
thf(2927,plain,
( ~ sk1
| ( sk2 @ sk4 @ sk5 )
| ( sk2 @ sk7 @ sk6 ) ),
inference(pattern_uni,[status(thm)],[2926:[bind(A,$thf( sk6 )),bind(B,$thf( sk7 ))]]) ).
thf(7943,plain,
( ~ $true
| ( sk2 @ sk4 @ sk5 )
| ( sk2 @ sk7 @ sk6 ) ),
inference(rewrite,[status(thm)],[2927,7810]) ).
thf(7944,plain,
( ( sk2 @ sk4 @ sk5 )
| ( sk2 @ sk7 @ sk6 ) ),
inference(simp,[status(thm)],[7943]) ).
thf(4,plain,
! [C: a,B: a,A: a] :
( ~ ( sk2 @ A @ B )
| ~ ( sk2 @ B @ C )
| ( sk2 @ A @ C )
| ~ sk1 ),
inference(cnf,[status(esa)],[3]) ).
thf(43,plain,
! [C: a,B: a,A: a] :
( ~ ( sk2 @ A @ B )
| ~ ( sk2 @ B @ C )
| ( sk2 @ A @ C )
| ~ sk1 ),
inference(simp,[status(thm)],[4]) ).
thf(7967,plain,
! [C: a,B: a,A: a] :
( ~ ( sk2 @ A @ B )
| ~ ( sk2 @ B @ C )
| ( sk2 @ A @ C )
| ~ $true ),
inference(rewrite,[status(thm)],[43,7810]) ).
thf(7968,plain,
! [C: a,B: a,A: a] :
( ~ ( sk2 @ A @ B )
| ~ ( sk2 @ B @ C )
| ( sk2 @ A @ C ) ),
inference(simp,[status(thm)],[7967]) ).
thf(13080,plain,
! [C: a,B: a,A: a] :
( ( sk2 @ sk4 @ sk5 )
| ~ ( sk2 @ A @ B )
| ( sk2 @ A @ C )
| ( ( sk2 @ sk7 @ sk6 )
!= ( sk2 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[7944,7968]) ).
thf(13081,plain,
! [A: a] :
( ( sk2 @ sk4 @ sk5 )
| ~ ( sk2 @ A @ sk7 )
| ( sk2 @ A @ sk6 ) ),
inference(pattern_uni,[status(thm)],[13080:[bind(A,$thf( A )),bind(B,$thf( sk7 )),bind(C,$thf( sk6 ))]]) ).
thf(13807,plain,
! [A: a] :
( ( sk2 @ sk4 @ sk5 )
| ( sk2 @ A @ sk6 )
| ( ( sk2 @ sk8 @ sk7 )
!= ( sk2 @ A @ sk7 ) ) ),
inference(paramod_ordered,[status(thm)],[8241,13081]) ).
thf(13808,plain,
( ( sk2 @ sk4 @ sk5 )
| ( sk2 @ sk8 @ sk6 ) ),
inference(pattern_uni,[status(thm)],[13807:[bind(A,$thf( sk8 ))]]) ).
thf(7893,plain,
! [B: a,A: a] :
( ~ ( sk2 @ A @ B )
| ( sk2 @ B @ A )
| ~ $true ),
inference(rewrite,[status(thm)],[13,7810]) ).
thf(7894,plain,
! [B: a,A: a] :
( ~ ( sk2 @ A @ B )
| ( sk2 @ B @ A ) ),
inference(simp,[status(thm)],[7893]) ).
thf(14566,plain,
! [B: a,A: a] :
( ( sk2 @ sk4 @ sk5 )
| ( sk2 @ B @ A )
| ( ( sk2 @ sk8 @ sk6 )
!= ( sk2 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[13808,7894]) ).
thf(14567,plain,
( ( sk2 @ sk4 @ sk5 )
| ( sk2 @ sk6 @ sk8 ) ),
inference(pattern_uni,[status(thm)],[14566:[bind(A,$thf( sk8 )),bind(B,$thf( sk6 ))]]) ).
thf(18,plain,
( ( sk3 @ sk4 @ sk5 )
| ~ ( sk3 @ sk6 @ sk8 )
| ( sk3 != sk2 )
| ~ sk1 ),
inference(cnf,[status(esa)],[3]) ).
thf(37,plain,
( ( sk3 != sk2 )
| ( sk3 @ sk4 @ sk5 )
| ~ ( sk3 @ sk6 @ sk8 )
| ~ sk1 ),
inference(lifteq,[status(thm)],[18]) ).
thf(993,plain,
( ~ sk1
| ( sk3 @ sk4 @ sk5 )
| ~ ( sk3 @ sk6 @ sk8 )
| ( sk3 != sk3 ) ),
inference(paramod_ordered,[status(thm)],[26,37]) ).
thf(994,plain,
( ~ sk1
| ( sk3 @ sk4 @ sk5 )
| ~ ( sk3 @ sk6 @ sk8 ) ),
inference(pattern_uni,[status(thm)],[993:[]]) ).
thf(7847,plain,
( ~ $true
| ( sk3 @ sk4 @ sk5 )
| ~ ( sk3 @ sk6 @ sk8 ) ),
inference(rewrite,[status(thm)],[994,7810]) ).
thf(7848,plain,
( ( sk3 @ sk4 @ sk5 )
| ~ ( sk3 @ sk6 @ sk8 ) ),
inference(simp,[status(thm)],[7847]) ).
thf(8265,plain,
( ( sk2 @ sk4 @ sk5 )
| ~ ( sk2 @ sk6 @ sk8 ) ),
inference(rewrite,[status(thm)],[7848,7832]) ).
thf(14918,plain,
( ( sk2 @ sk4 @ sk5 )
| ( ( sk2 @ sk6 @ sk8 )
!= ( sk2 @ sk6 @ sk8 ) ) ),
inference(paramod_ordered,[status(thm)],[14567,8265]) ).
thf(14919,plain,
sk2 @ sk4 @ sk5,
inference(pattern_uni,[status(thm)],[14918:[]]) ).
thf(15015,plain,
( ~ $true
| ( sk2 @ sk8 @ sk7 ) ),
inference(rewrite,[status(thm)],[8206,14919]) ).
thf(15016,plain,
sk2 @ sk8 @ sk7,
inference(simp,[status(thm)],[15015]) ).
thf(23,plain,
( ~ ( sk3 @ sk5 @ sk4 )
| ( sk3 @ sk6 @ sk7 )
| ( sk3 != sk2 )
| ~ sk1 ),
inference(cnf,[status(esa)],[3]) ).
thf(40,plain,
( ( sk3 != sk2 )
| ~ ( sk3 @ sk5 @ sk4 )
| ( sk3 @ sk6 @ sk7 )
| ~ sk1 ),
inference(lifteq,[status(thm)],[23]) ).
thf(1438,plain,
( ~ sk1
| ~ ( sk3 @ sk5 @ sk4 )
| ( sk3 @ sk6 @ sk7 )
| ( sk3 != sk3 ) ),
inference(paramod_ordered,[status(thm)],[26,40]) ).
thf(1439,plain,
( ~ sk1
| ~ ( sk3 @ sk5 @ sk4 )
| ( sk3 @ sk6 @ sk7 ) ),
inference(pattern_uni,[status(thm)],[1438:[]]) ).
thf(1830,plain,
! [B: a,A: a] :
( ~ sk1
| ~ ( sk3 @ sk5 @ sk4 )
| ( sk2 @ A @ B )
| ( ( sk3 @ sk6 @ sk7 )
!= ( sk3 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[1439,46]) ).
thf(1831,plain,
( ~ sk1
| ~ ( sk3 @ sk5 @ sk4 )
| ( sk2 @ sk6 @ sk7 ) ),
inference(pattern_uni,[status(thm)],[1830:[bind(A,$thf( sk6 )),bind(B,$thf( sk7 ))]]) ).
thf(2119,plain,
! [B: a,A: a] :
( ~ sk1
| ~ ( sk2 @ A @ B )
| ( sk2 @ sk6 @ sk7 )
| ( ( sk3 @ A @ B )
!= ( sk3 @ sk5 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[46,1831]) ).
thf(2120,plain,
( ~ sk1
| ~ ( sk2 @ sk5 @ sk4 )
| ( sk2 @ sk6 @ sk7 ) ),
inference(pattern_uni,[status(thm)],[2119:[bind(A,$thf( sk5 )),bind(B,$thf( sk4 ))]]) ).
thf(2424,plain,
! [B: a,A: a] :
( ~ sk1
| ~ ( sk2 @ sk5 @ sk4 )
| ( sk2 @ B @ A )
| ( ( sk2 @ sk6 @ sk7 )
!= ( sk2 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[2120,13]) ).
thf(2425,plain,
( ~ sk1
| ~ ( sk2 @ sk5 @ sk4 )
| ( sk2 @ sk7 @ sk6 ) ),
inference(pattern_uni,[status(thm)],[2424:[bind(A,$thf( sk6 )),bind(B,$thf( sk7 ))]]) ).
thf(3073,plain,
! [B: a,A: a] :
( ~ ( sk2 @ A @ B )
| ~ sk1
| ( sk2 @ sk7 @ sk6 )
| ( ( sk2 @ B @ A )
!= ( sk2 @ sk5 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[13,2425]) ).
thf(3074,plain,
( ~ ( sk2 @ sk4 @ sk5 )
| ~ sk1
| ( sk2 @ sk7 @ sk6 ) ),
inference(pattern_uni,[status(thm)],[3073:[bind(A,$thf( sk4 )),bind(B,$thf( sk5 ))]]) ).
thf(7885,plain,
( ~ ( sk2 @ sk4 @ sk5 )
| ~ $true
| ( sk2 @ sk7 @ sk6 ) ),
inference(rewrite,[status(thm)],[3074,7810]) ).
thf(7886,plain,
( ~ ( sk2 @ sk4 @ sk5 )
| ( sk2 @ sk7 @ sk6 ) ),
inference(simp,[status(thm)],[7885]) ).
thf(15000,plain,
( ~ $true
| ( sk2 @ sk7 @ sk6 ) ),
inference(rewrite,[status(thm)],[7886,14919]) ).
thf(15001,plain,
sk2 @ sk7 @ sk6,
inference(simp,[status(thm)],[15000]) ).
thf(15120,plain,
! [C: a,B: a,A: a] :
( ~ ( sk2 @ A @ B )
| ( sk2 @ A @ C )
| ( ( sk2 @ sk7 @ sk6 )
!= ( sk2 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[15001,7968]) ).
thf(15121,plain,
! [A: a] :
( ~ ( sk2 @ A @ sk7 )
| ( sk2 @ A @ sk6 ) ),
inference(pattern_uni,[status(thm)],[15120:[bind(A,$thf( A )),bind(B,$thf( sk7 )),bind(C,$thf( sk6 ))]]) ).
thf(16496,plain,
! [A: a] :
( ( sk2 @ A @ sk6 )
| ( ( sk2 @ sk8 @ sk7 )
!= ( sk2 @ A @ sk7 ) ) ),
inference(paramod_ordered,[status(thm)],[15016,15121]) ).
thf(16497,plain,
sk2 @ sk8 @ sk6,
inference(pattern_uni,[status(thm)],[16496:[bind(A,$thf( sk8 ))]]) ).
thf(16600,plain,
! [B: a,A: a] :
( ( sk2 @ B @ A )
| ( ( sk2 @ sk8 @ sk6 )
!= ( sk2 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[16497,7894]) ).
thf(16601,plain,
sk2 @ sk6 @ sk8,
inference(pattern_uni,[status(thm)],[16600:[bind(A,$thf( sk8 )),bind(B,$thf( sk6 ))]]) ).
thf(6,plain,
( ~ ( sk3 @ sk5 @ sk4 )
| ~ ( sk3 @ sk6 @ sk8 )
| ( sk3 != sk2 )
| ~ sk1 ),
inference(cnf,[status(esa)],[3]) ).
thf(30,plain,
( ( sk3 != sk2 )
| ~ ( sk3 @ sk5 @ sk4 )
| ~ ( sk3 @ sk6 @ sk8 )
| ~ sk1 ),
inference(lifteq,[status(thm)],[6]) ).
thf(52,plain,
( ~ sk1
| ~ ( sk3 @ sk5 @ sk4 )
| ~ ( sk3 @ sk6 @ sk8 )
| ( sk3 != sk3 ) ),
inference(paramod_ordered,[status(thm)],[26,30]) ).
thf(53,plain,
( ~ sk1
| ~ ( sk3 @ sk5 @ sk4 )
| ~ ( sk3 @ sk6 @ sk8 ) ),
inference(pattern_uni,[status(thm)],[52:[]]) ).
thf(64,plain,
! [B: a,A: a] :
( ~ sk1
| ~ ( sk2 @ A @ B )
| ~ ( sk3 @ sk6 @ sk8 )
| ( ( sk3 @ A @ B )
!= ( sk3 @ sk5 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[46,53]) ).
thf(65,plain,
( ~ sk1
| ~ ( sk2 @ sk5 @ sk4 )
| ~ ( sk3 @ sk6 @ sk8 ) ),
inference(pattern_uni,[status(thm)],[64:[bind(A,$thf( sk5 )),bind(B,$thf( sk4 ))]]) ).
thf(74,plain,
! [B: a,A: a] :
( ~ ( sk2 @ A @ B )
| ~ sk1
| ~ ( sk3 @ sk6 @ sk8 )
| ( ( sk2 @ B @ A )
!= ( sk2 @ sk5 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[13,65]) ).
thf(75,plain,
( ~ ( sk2 @ sk4 @ sk5 )
| ~ sk1
| ~ ( sk3 @ sk6 @ sk8 ) ),
inference(pattern_uni,[status(thm)],[74:[bind(A,$thf( sk4 )),bind(B,$thf( sk5 ))]]) ).
thf(7981,plain,
( ~ ( sk2 @ sk4 @ sk5 )
| ~ $true
| ~ ( sk3 @ sk6 @ sk8 ) ),
inference(rewrite,[status(thm)],[75,7810]) ).
thf(7982,plain,
( ~ ( sk2 @ sk4 @ sk5 )
| ~ ( sk3 @ sk6 @ sk8 ) ),
inference(simp,[status(thm)],[7981]) ).
thf(8100,plain,
( ~ ( sk2 @ sk4 @ sk5 )
| ~ ( sk2 @ sk6 @ sk8 ) ),
inference(rewrite,[status(thm)],[7982,7832]) ).
thf(15011,plain,
( ~ $true
| ~ ( sk2 @ sk6 @ sk8 ) ),
inference(rewrite,[status(thm)],[8100,14919]) ).
thf(15012,plain,
~ ( sk2 @ sk6 @ sk8 ),
inference(simp,[status(thm)],[15011]) ).
thf(16633,plain,
$false,
inference(rewrite,[status(thm)],[16601,15012]) ).
thf(16634,plain,
$false,
inference(simp,[status(thm)],[16633]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV040^5 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n016.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 18:27:09 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.96/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.21/0.98 % [INFO] Parsing done (121ms).
% 1.21/0.99 % [INFO] Running in sequential loop mode.
% 1.73/1.21 % [INFO] nitpick registered as external prover.
% 1.73/1.21 % [INFO] Scanning for conjecture ...
% 1.82/1.29 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.82/1.31 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.82/1.31 % [INFO] Problem is higher-order (TPTP THF).
% 1.82/1.32 % [INFO] Type checking passed.
% 1.82/1.32 % [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 ...
% 69.23/10.81 % [INFO] Killing All external provers ...
% 69.23/10.81 % Time passed: 10283ms (effective reasoning time: 9815ms)
% 69.23/10.81 % 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)>
% 69.23/10.81 % Axioms used in derivation (0):
% 69.23/10.81 % No. of inferences in proof: 178
% 69.23/10.81 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 10283 ms resp. 9815 ms w/o parsing
% 69.23/10.88 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 69.23/10.88 % [INFO] Killing All external provers ...
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