TSTP Solution File: SEU904^5 by Leo-III-SAT---1.7.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SEU904^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n026.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 03:44:12 EDT 2024
% Result : Theorem 162.78s 28.77s
% Output : Refutation 162.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 21
% Syntax : Number of formulae : 141 ( 9 unt; 20 typ; 0 def)
% Number of atoms : 401 ( 63 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 1330 ( 196 ~; 226 |; 57 &; 812 @)
% ( 0 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 44 ( 44 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 17 usr; 11 con; 0-2 aty)
% Number of variables : 132 ( 0 ^ 132 !; 0 ?; 132 :)
% Comments :
%------------------------------------------------------------------------------
thf(g_type,type,
g: $tType ).
thf(b_type,type,
b: $tType ).
thf(a_type,type,
a: $tType ).
thf(sk1_type,type,
sk1: g > b ).
thf(sk2_type,type,
sk2: b > a ).
thf(sk3_type,type,
sk3: g > $o ).
thf(sk4_type,type,
sk4: g > g > g ).
thf(sk5_type,type,
sk5: b > $o ).
thf(sk6_type,type,
sk6: b > b > b ).
thf(sk7_type,type,
sk7: a > $o ).
thf(sk8_type,type,
sk8: a > a > a ).
thf(sk9_type,type,
sk9: $o ).
thf(sk10_type,type,
sk10: g ).
thf(sk11_type,type,
sk11: g ).
thf(sk12_type,type,
sk12: $o ).
thf(sk13_type,type,
sk13: a ).
thf(sk14_type,type,
sk14: a ).
thf(sk15_type,type,
sk15: g ).
thf(sk16_type,type,
sk16: g ).
thf(sk17_type,type,
sk17: g ).
thf(1,conjecture,
! [A: g > b,B: b > a,C: g > $o,D: g > g > g,E: b > $o,F: b > b > b,G: a > $o,H: a > a > a] :
( ( ! [I: g,J: g] :
( ( ( C @ I )
& ( C @ J ) )
=> ( C @ ( D @ I @ J ) ) )
& ! [I: b,J: b] :
( ( ( E @ I )
& ( E @ J ) )
=> ( E @ ( F @ I @ J ) ) )
& ! [I: g] :
( ( C @ I )
=> ( E @ ( A @ I ) ) )
& ! [I: g,J: g] :
( ( ( C @ I )
& ( C @ J ) )
=> ( ( A @ ( D @ I @ J ) )
= ( F @ ( A @ I ) @ ( A @ J ) ) ) )
& ! [I: b,J: b] :
( ( ( E @ I )
& ( E @ J ) )
=> ( E @ ( F @ I @ J ) ) )
& ! [I: a,J: a] :
( ( ( G @ I )
& ( G @ J ) )
=> ( G @ ( H @ I @ J ) ) )
& ! [I: b] :
( ( E @ I )
=> ( G @ ( B @ I ) ) )
& ! [I: b,J: b] :
( ( ( E @ I )
& ( E @ J ) )
=> ( ( B @ ( F @ I @ J ) )
= ( H @ ( B @ I ) @ ( B @ J ) ) ) ) )
=> ( ! [I: g,J: g] :
( ( ( C @ I )
& ( C @ J ) )
=> ( C @ ( D @ I @ J ) ) )
& ! [I: a,J: a] :
( ( ( G @ I )
& ( G @ J ) )
=> ( G @ ( H @ I @ J ) ) )
& ! [I: g] :
( ( C @ I )
=> ( G @ ( B @ ( A @ I ) ) ) )
& ! [I: g,J: g] :
( ( ( C @ I )
& ( C @ J ) )
=> ( ( B @ ( A @ ( D @ I @ J ) ) )
= ( H @ ( B @ ( A @ I ) ) @ ( B @ ( A @ J ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM126_pme) ).
thf(2,negated_conjecture,
~ ! [A: g > b,B: b > a,C: g > $o,D: g > g > g,E: b > $o,F: b > b > b,G: a > $o,H: a > a > a] :
( ( ! [I: g,J: g] :
( ( ( C @ I )
& ( C @ J ) )
=> ( C @ ( D @ I @ J ) ) )
& ! [I: b,J: b] :
( ( ( E @ I )
& ( E @ J ) )
=> ( E @ ( F @ I @ J ) ) )
& ! [I: g] :
( ( C @ I )
=> ( E @ ( A @ I ) ) )
& ! [I: g,J: g] :
( ( ( C @ I )
& ( C @ J ) )
=> ( ( A @ ( D @ I @ J ) )
= ( F @ ( A @ I ) @ ( A @ J ) ) ) )
& ! [I: b,J: b] :
( ( ( E @ I )
& ( E @ J ) )
=> ( E @ ( F @ I @ J ) ) )
& ! [I: a,J: a] :
( ( ( G @ I )
& ( G @ J ) )
=> ( G @ ( H @ I @ J ) ) )
& ! [I: b] :
( ( E @ I )
=> ( G @ ( B @ I ) ) )
& ! [I: b,J: b] :
( ( ( E @ I )
& ( E @ J ) )
=> ( ( B @ ( F @ I @ J ) )
= ( H @ ( B @ I ) @ ( B @ J ) ) ) ) )
=> ( ! [I: g,J: g] :
( ( ( C @ I )
& ( C @ J ) )
=> ( C @ ( D @ I @ J ) ) )
& ! [I: a,J: a] :
( ( ( G @ I )
& ( G @ J ) )
=> ( G @ ( H @ I @ J ) ) )
& ! [I: g] :
( ( C @ I )
=> ( G @ ( B @ ( A @ I ) ) ) )
& ! [I: g,J: g] :
( ( ( C @ I )
& ( C @ J ) )
=> ( ( B @ ( A @ ( D @ I @ J ) ) )
= ( H @ ( B @ ( A @ I ) ) @ ( B @ ( A @ J ) ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: g > b,B: b > a,C: g > $o,D: g > g > g,E: b > $o,F: b > b > b,G: a > $o,H: a > a > a] :
( ( ! [I: g,J: g] :
( ( ( C @ I )
& ( C @ J ) )
=> ( C @ ( D @ I @ J ) ) )
& ! [I: b,J: b] :
( ( ( E @ I )
& ( E @ J ) )
=> ( E @ ( F @ I @ J ) ) )
& ! [I: g] :
( ( C @ I )
=> ( E @ ( A @ I ) ) )
& ! [I: g,J: g] :
( ( ( C @ I )
& ( C @ J ) )
=> ( ( A @ ( D @ I @ J ) )
= ( F @ ( A @ I ) @ ( A @ J ) ) ) )
& ! [I: b,J: b] :
( ( ( E @ I )
& ( E @ J ) )
=> ( E @ ( F @ I @ J ) ) )
& ! [I: a,J: a] :
( ( ( G @ I )
& ( G @ J ) )
=> ( G @ ( H @ I @ J ) ) )
& ! [I: b] :
( ( E @ I )
=> ( G @ ( B @ I ) ) )
& ! [I: b,J: b] :
( ( ( E @ I )
& ( E @ J ) )
=> ( ( B @ ( F @ I @ J ) )
= ( H @ ( B @ I ) @ ( B @ J ) ) ) ) )
=> ( ! [I: g,J: g] :
( ( ( C @ I )
& ( C @ J ) )
=> ( C @ ( D @ I @ J ) ) )
& ! [I: a,J: a] :
( ( ( G @ I )
& ( G @ J ) )
=> ( G @ ( H @ I @ J ) ) )
& ! [I: g] :
( ( C @ I )
=> ( G @ ( B @ ( A @ I ) ) ) )
& ! [I: g,J: g] :
( ( ( C @ I )
& ( C @ J ) )
=> ( ( B @ ( A @ ( D @ I @ J ) ) )
= ( H @ ( B @ ( A @ I ) ) @ ( B @ ( A @ J ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(16,plain,
! [B: g,A: g] :
( ~ ( sk3 @ A )
| ~ ( sk3 @ B )
| ( ( sk1 @ ( sk4 @ A @ B ) )
= ( sk6 @ ( sk1 @ A ) @ ( sk1 @ B ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(30,plain,
! [B: g,A: g] :
( ( ( sk6 @ ( sk1 @ A ) @ ( sk1 @ B ) )
= ( sk1 @ ( sk4 @ A @ B ) ) )
| ~ ( sk3 @ A )
| ~ ( sk3 @ B ) ),
inference(lifteq,[status(thm)],[16]) ).
thf(31,plain,
! [B: g,A: g] :
( ( ( sk6 @ ( sk1 @ A ) @ ( sk1 @ B ) )
= ( sk1 @ ( sk4 @ A @ B ) ) )
| ~ ( sk3 @ A )
| ~ ( sk3 @ B ) ),
inference(simp,[status(thm)],[30]) ).
thf(20,plain,
! [B: b,A: b] :
( ~ ( sk5 @ A )
| ~ ( sk5 @ B )
| ( ( sk2 @ ( sk6 @ A @ B ) )
= ( sk8 @ ( sk2 @ A ) @ ( sk2 @ B ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(25,plain,
! [B: b,A: b] :
( ( ( sk8 @ ( sk2 @ A ) @ ( sk2 @ B ) )
= ( sk2 @ ( sk6 @ A @ B ) ) )
| ~ ( sk5 @ A )
| ~ ( sk5 @ B ) ),
inference(lifteq,[status(thm)],[20]) ).
thf(26,plain,
! [B: b,A: b] :
( ( ( sk8 @ ( sk2 @ A ) @ ( sk2 @ B ) )
= ( sk2 @ ( sk6 @ A @ B ) ) )
| ~ ( sk5 @ A )
| ~ ( sk5 @ B ) ),
inference(simp,[status(thm)],[25]) ).
thf(18,plain,
( sk9
| sk12
| ( sk3 @ sk15 )
| ( ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) )
!= ( sk8 @ ( sk2 @ ( sk1 @ sk16 ) ) @ ( sk2 @ ( sk1 @ sk17 ) ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(29,plain,
( ( ( sk8 @ ( sk2 @ ( sk1 @ sk16 ) ) @ ( sk2 @ ( sk1 @ sk17 ) ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) )
| sk9
| sk12
| ( sk3 @ sk15 ) ),
inference(lifteq,[status(thm)],[18]) ).
thf(21,plain,
( sk9
| ( sk7 @ sk13 )
| ~ sk12 ),
inference(cnf,[status(esa)],[3]) ).
thf(17,plain,
( ( sk3 @ sk10 )
| ~ sk9 ),
inference(cnf,[status(esa)],[3]) ).
thf(23,plain,
( ( sk3 @ sk11 )
| ~ sk9 ),
inference(cnf,[status(esa)],[3]) ).
thf(9,plain,
! [B: g,A: g] :
( ~ ( sk3 @ A )
| ~ ( sk3 @ B )
| ( sk3 @ ( sk4 @ A @ B ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(12,plain,
( ~ ( sk3 @ ( sk4 @ sk10 @ sk11 ) )
| ~ sk9 ),
inference(cnf,[status(esa)],[3]) ).
thf(59,plain,
! [B: g,A: g] :
( ~ ( sk3 @ A )
| ~ ( sk3 @ B )
| ~ sk9
| ( ( sk3 @ ( sk4 @ A @ B ) )
!= ( sk3 @ ( sk4 @ sk10 @ sk11 ) ) ) ),
inference(paramod_ordered,[status(thm)],[9,12]) ).
thf(60,plain,
( ~ ( sk3 @ sk10 )
| ~ ( sk3 @ sk11 )
| ~ sk9 ),
inference(pattern_uni,[status(thm)],[59:[bind(A,$thf( sk10 )),bind(B,$thf( sk11 ))]]) ).
thf(93,plain,
( ~ sk9
| ~ ( sk3 @ sk10 )
| ( ( sk3 @ sk11 )
!= ( sk3 @ sk11 ) ) ),
inference(paramod_ordered,[status(thm)],[23,60]) ).
thf(94,plain,
( ~ sk9
| ~ ( sk3 @ sk10 ) ),
inference(pattern_uni,[status(thm)],[93:[]]) ).
thf(108,plain,
( ~ sk9
| ( ( sk3 @ sk10 )
!= ( sk3 @ sk10 ) ) ),
inference(paramod_ordered,[status(thm)],[17,94]) ).
thf(109,plain,
~ sk9,
inference(pattern_uni,[status(thm)],[108:[]]) ).
thf(130,plain,
( $false
| ( sk7 @ sk13 )
| ~ sk12 ),
inference(rewrite,[status(thm)],[21,109]) ).
thf(131,plain,
( ( sk7 @ sk13 )
| ~ sk12 ),
inference(simp,[status(thm)],[130]) ).
thf(6,plain,
( sk9
| ( sk7 @ sk14 )
| ~ sk12 ),
inference(cnf,[status(esa)],[3]) ).
thf(128,plain,
( $false
| ( sk7 @ sk14 )
| ~ sk12 ),
inference(rewrite,[status(thm)],[6,109]) ).
thf(129,plain,
( ( sk7 @ sk14 )
| ~ sk12 ),
inference(simp,[status(thm)],[128]) ).
thf(13,plain,
! [B: a,A: a] :
( ~ ( sk7 @ A )
| ~ ( sk7 @ B )
| ( sk7 @ ( sk8 @ A @ B ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(27,plain,
! [B: a,A: a] :
( ~ ( sk7 @ A )
| ~ ( sk7 @ B )
| ( sk7 @ ( sk8 @ A @ B ) ) ),
inference(simp,[status(thm)],[13]) ).
thf(5,plain,
( sk9
| ~ ( sk7 @ ( sk8 @ sk13 @ sk14 ) )
| ~ sk12 ),
inference(cnf,[status(esa)],[3]) ).
thf(124,plain,
( $false
| ~ ( sk7 @ ( sk8 @ sk13 @ sk14 ) )
| ~ sk12 ),
inference(rewrite,[status(thm)],[5,109]) ).
thf(125,plain,
( ~ ( sk7 @ ( sk8 @ sk13 @ sk14 ) )
| ~ sk12 ),
inference(simp,[status(thm)],[124]) ).
thf(374,plain,
! [B: a,A: a] :
( ~ ( sk7 @ A )
| ~ ( sk7 @ B )
| ~ sk12
| ( ( sk7 @ ( sk8 @ A @ B ) )
!= ( sk7 @ ( sk8 @ sk13 @ sk14 ) ) ) ),
inference(paramod_ordered,[status(thm)],[27,125]) ).
thf(375,plain,
( ~ ( sk7 @ sk13 )
| ~ ( sk7 @ sk14 )
| ~ sk12 ),
inference(pattern_uni,[status(thm)],[374:[bind(A,$thf( sk13 )),bind(B,$thf( sk14 ))]]) ).
thf(410,plain,
( ~ sk12
| ~ ( sk7 @ sk13 )
| ( ( sk7 @ sk14 )
!= ( sk7 @ sk14 ) ) ),
inference(paramod_ordered,[status(thm)],[129,375]) ).
thf(411,plain,
( ~ sk12
| ~ ( sk7 @ sk13 ) ),
inference(pattern_uni,[status(thm)],[410:[]]) ).
thf(434,plain,
( ~ sk12
| ( ( sk7 @ sk13 )
!= ( sk7 @ sk13 ) ) ),
inference(paramod_ordered,[status(thm)],[131,411]) ).
thf(435,plain,
~ sk12,
inference(pattern_uni,[status(thm)],[434:[]]) ).
thf(635,plain,
( ( ( sk8 @ ( sk2 @ ( sk1 @ sk16 ) ) @ ( sk2 @ ( sk1 @ sk17 ) ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) )
| $false
| $false
| ( sk3 @ sk15 ) ),
inference(rewrite,[status(thm)],[29,435,109]) ).
thf(636,plain,
( ( ( sk8 @ ( sk2 @ ( sk1 @ sk16 ) ) @ ( sk2 @ ( sk1 @ sk17 ) ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) )
| ( sk3 @ sk15 ) ),
inference(simp,[status(thm)],[635]) ).
thf(637,plain,
! [B: b,A: b] :
( ~ ( sk5 @ A )
| ~ ( sk5 @ B )
| ( ( sk2 @ ( sk6 @ A @ B ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) )
| ( sk3 @ sk15 )
| ( ( sk8 @ ( sk2 @ A ) @ ( sk2 @ B ) )
!= ( sk8 @ ( sk2 @ ( sk1 @ sk16 ) ) @ ( sk2 @ ( sk1 @ sk17 ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[26,636]) ).
thf(638,plain,
( ~ ( sk5 @ ( sk1 @ sk16 ) )
| ~ ( sk5 @ ( sk1 @ sk17 ) )
| ( ( sk2 @ ( sk6 @ ( sk1 @ sk16 ) @ ( sk1 @ sk17 ) ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) )
| ( sk3 @ sk15 ) ),
inference(pattern_uni,[status(thm)],[637:[bind(A,$thf( sk1 @ sk16 )),bind(B,$thf( sk1 @ sk17 ))]]) ).
thf(22,plain,
( sk9
| sk12
| ( sk3 @ sk15 )
| ( sk3 @ sk17 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(132,plain,
( $false
| sk12
| ( sk3 @ sk15 )
| ( sk3 @ sk17 ) ),
inference(rewrite,[status(thm)],[22,109]) ).
thf(133,plain,
( sk12
| ( sk3 @ sk15 )
| ( sk3 @ sk17 ) ),
inference(simp,[status(thm)],[132]) ).
thf(454,plain,
( $false
| ( sk3 @ sk15 )
| ( sk3 @ sk17 ) ),
inference(rewrite,[status(thm)],[133,435]) ).
thf(455,plain,
( ( sk3 @ sk15 )
| ( sk3 @ sk17 ) ),
inference(simp,[status(thm)],[454]) ).
thf(11,plain,
! [A: g] :
( ~ ( sk3 @ A )
| ( sk5 @ ( sk1 @ A ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(32,plain,
! [A: g] :
( ~ ( sk3 @ A )
| ( sk5 @ ( sk1 @ A ) ) ),
inference(simp,[status(thm)],[11]) ).
thf(472,plain,
! [A: g] :
( ( sk3 @ sk15 )
| ( sk5 @ ( sk1 @ A ) )
| ( ( sk3 @ sk17 )
!= ( sk3 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[455,32]) ).
thf(473,plain,
( ( sk3 @ sk15 )
| ( sk5 @ ( sk1 @ sk17 ) ) ),
inference(pattern_uni,[status(thm)],[472:[bind(A,$thf( sk17 ))]]) ).
thf(10,plain,
! [A: b] :
( ~ ( sk5 @ A )
| ( sk7 @ ( sk2 @ A ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(24,plain,
! [A: b] :
( ~ ( sk5 @ A )
| ( sk7 @ ( sk2 @ A ) ) ),
inference(simp,[status(thm)],[10]) ).
thf(78,plain,
! [B: b,A: g] :
( ~ ( sk3 @ A )
| ( sk7 @ ( sk2 @ B ) )
| ( ( sk5 @ ( sk1 @ A ) )
!= ( sk5 @ B ) ) ),
inference(paramod_ordered,[status(thm)],[32,24]) ).
thf(79,plain,
! [A: g] :
( ~ ( sk3 @ A )
| ( sk7 @ ( sk2 @ ( sk1 @ A ) ) ) ),
inference(pattern_uni,[status(thm)],[78:[bind(A,$thf( C )),bind(B,$thf( sk1 @ C ))]]) ).
thf(83,plain,
! [A: g] :
( ~ ( sk3 @ A )
| ( sk7 @ ( sk2 @ ( sk1 @ A ) ) ) ),
inference(simp,[status(thm)],[79]) ).
thf(19,plain,
( sk9
| sk12
| ~ ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) )
| ( sk3 @ sk17 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(157,plain,
( $false
| sk12
| ~ ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) )
| ( sk3 @ sk17 ) ),
inference(rewrite,[status(thm)],[19,109]) ).
thf(158,plain,
( sk12
| ~ ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) )
| ( sk3 @ sk17 ) ),
inference(simp,[status(thm)],[157]) ).
thf(174,plain,
! [A: g] :
( ~ ( sk3 @ A )
| sk12
| ( sk3 @ sk17 )
| ( ( sk7 @ ( sk2 @ ( sk1 @ A ) ) )
!= ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[83,158]) ).
thf(175,plain,
( ~ ( sk3 @ sk15 )
| sk12
| ( sk3 @ sk17 ) ),
inference(pattern_uni,[status(thm)],[174:[bind(A,$thf( sk15 ))]]) ).
thf(450,plain,
( ~ ( sk3 @ sk15 )
| $false
| ( sk3 @ sk17 ) ),
inference(rewrite,[status(thm)],[175,435]) ).
thf(451,plain,
( ~ ( sk3 @ sk15 )
| ( sk3 @ sk17 ) ),
inference(simp,[status(thm)],[450]) ).
thf(15,plain,
( sk9
| sk12
| ~ ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) )
| ( sk3 @ sk16 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(135,plain,
( $false
| sk12
| ~ ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) )
| ( sk3 @ sk16 ) ),
inference(rewrite,[status(thm)],[15,109]) ).
thf(136,plain,
( sk12
| ~ ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) )
| ( sk3 @ sk16 ) ),
inference(simp,[status(thm)],[135]) ).
thf(176,plain,
! [A: g] :
( ~ ( sk3 @ A )
| sk12
| ( sk3 @ sk16 )
| ( ( sk7 @ ( sk2 @ ( sk1 @ A ) ) )
!= ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[83,136]) ).
thf(177,plain,
( ~ ( sk3 @ sk15 )
| sk12
| ( sk3 @ sk16 ) ),
inference(pattern_uni,[status(thm)],[176:[bind(A,$thf( sk15 ))]]) ).
thf(460,plain,
( ~ ( sk3 @ sk15 )
| $false
| ( sk3 @ sk16 ) ),
inference(rewrite,[status(thm)],[177,435]) ).
thf(461,plain,
( ~ ( sk3 @ sk15 )
| ( sk3 @ sk16 ) ),
inference(simp,[status(thm)],[460]) ).
thf(608,plain,
! [A: g] :
( ~ ( sk3 @ sk15 )
| ( sk5 @ ( sk1 @ A ) )
| ( ( sk3 @ sk16 )
!= ( sk3 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[461,32]) ).
thf(609,plain,
( ~ ( sk3 @ sk15 )
| ( sk5 @ ( sk1 @ sk16 ) ) ),
inference(pattern_uni,[status(thm)],[608:[bind(A,$thf( sk16 ))]]) ).
thf(544,plain,
! [A: g] :
( ~ ( sk3 @ sk15 )
| ( sk5 @ ( sk1 @ A ) )
| ( ( sk3 @ sk17 )
!= ( sk3 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[451,32]) ).
thf(545,plain,
( ~ ( sk3 @ sk15 )
| ( sk5 @ ( sk1 @ sk17 ) ) ),
inference(pattern_uni,[status(thm)],[544:[bind(A,$thf( sk17 ))]]) ).
thf(4,plain,
( sk9
| sk12
| ~ ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) )
| ( ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) )
!= ( sk8 @ ( sk2 @ ( sk1 @ sk16 ) ) @ ( sk2 @ ( sk1 @ sk17 ) ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(34,plain,
( ( ( sk8 @ ( sk2 @ ( sk1 @ sk16 ) ) @ ( sk2 @ ( sk1 @ sk17 ) ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) )
| sk9
| sk12
| ~ ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) ) ),
inference(lifteq,[status(thm)],[4]) ).
thf(908,plain,
( ( ( sk8 @ ( sk2 @ ( sk1 @ sk16 ) ) @ ( sk2 @ ( sk1 @ sk17 ) ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) )
| $false
| $false
| ~ ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) ) ),
inference(rewrite,[status(thm)],[34,435,109]) ).
thf(909,plain,
( ( ( sk8 @ ( sk2 @ ( sk1 @ sk16 ) ) @ ( sk2 @ ( sk1 @ sk17 ) ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) )
| ~ ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) ) ),
inference(simp,[status(thm)],[908]) ).
thf(914,plain,
! [A: g] :
( ~ ( sk3 @ A )
| ( ( sk8 @ ( sk2 @ ( sk1 @ sk16 ) ) @ ( sk2 @ ( sk1 @ sk17 ) ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) )
| ( ( sk7 @ ( sk2 @ ( sk1 @ A ) ) )
!= ( sk7 @ ( sk2 @ ( sk1 @ sk15 ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[83,909]) ).
thf(915,plain,
( ~ ( sk3 @ sk15 )
| ( ( sk8 @ ( sk2 @ ( sk1 @ sk16 ) ) @ ( sk2 @ ( sk1 @ sk17 ) ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) ) ),
inference(pattern_uni,[status(thm)],[914:[bind(A,$thf( sk15 ))]]) ).
thf(981,plain,
! [B: b,A: b] :
( ~ ( sk5 @ A )
| ~ ( sk5 @ B )
| ~ ( sk3 @ sk15 )
| ( ( sk2 @ ( sk6 @ A @ B ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) )
| ( ( sk8 @ ( sk2 @ A ) @ ( sk2 @ B ) )
!= ( sk8 @ ( sk2 @ ( sk1 @ sk16 ) ) @ ( sk2 @ ( sk1 @ sk17 ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[26,915]) ).
thf(982,plain,
( ~ ( sk5 @ ( sk1 @ sk16 ) )
| ~ ( sk5 @ ( sk1 @ sk17 ) )
| ~ ( sk3 @ sk15 )
| ( ( sk2 @ ( sk6 @ ( sk1 @ sk16 ) @ ( sk1 @ sk17 ) ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) ) ),
inference(pattern_uni,[status(thm)],[981:[bind(A,$thf( sk1 @ sk16 )),bind(B,$thf( sk1 @ sk17 ))]]) ).
thf(2390,plain,
! [B: g,A: g] :
( ~ ( sk3 @ A )
| ~ ( sk3 @ B )
| ~ ( sk5 @ ( sk1 @ sk16 ) )
| ~ ( sk5 @ ( sk1 @ sk17 ) )
| ~ ( sk3 @ sk15 )
| ( ( sk2 @ ( sk1 @ ( sk4 @ A @ B ) ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) )
| ( ( sk6 @ ( sk1 @ A ) @ ( sk1 @ B ) )
!= ( sk6 @ ( sk1 @ sk16 ) @ ( sk1 @ sk17 ) ) ) ),
inference(paramod_ordered,[status(thm)],[31,982]) ).
thf(2391,plain,
( ~ ( sk3 @ sk16 )
| ~ ( sk3 @ sk17 )
| ~ ( sk5 @ ( sk1 @ sk16 ) )
| ~ ( sk5 @ ( sk1 @ sk17 ) )
| ~ ( sk3 @ sk15 )
| ( ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) ) ),
inference(pattern_uni,[status(thm)],[2390:[bind(A,$thf( sk16 )),bind(B,$thf( sk17 ))]]) ).
thf(2507,plain,
( ~ ( sk3 @ sk16 )
| ~ ( sk3 @ sk17 )
| ~ ( sk5 @ ( sk1 @ sk16 ) )
| ~ ( sk5 @ ( sk1 @ sk17 ) )
| ~ ( sk3 @ sk15 ) ),
inference(simp,[status(thm)],[2391]) ).
thf(2606,plain,
( ~ ( sk3 @ sk15 )
| ~ ( sk3 @ sk16 )
| ~ ( sk3 @ sk17 )
| ~ ( sk5 @ ( sk1 @ sk16 ) )
| ( ( sk5 @ ( sk1 @ sk17 ) )
!= ( sk5 @ ( sk1 @ sk17 ) ) ) ),
inference(paramod_ordered,[status(thm)],[545,2507]) ).
thf(2607,plain,
( ~ ( sk3 @ sk15 )
| ~ ( sk3 @ sk16 )
| ~ ( sk3 @ sk17 )
| ~ ( sk5 @ ( sk1 @ sk16 ) ) ),
inference(pattern_uni,[status(thm)],[2606:[]]) ).
thf(2790,plain,
( ~ ( sk3 @ sk15 )
| ~ ( sk3 @ sk16 )
| ~ ( sk3 @ sk17 )
| ( ( sk5 @ ( sk1 @ sk16 ) )
!= ( sk5 @ ( sk1 @ sk16 ) ) ) ),
inference(paramod_ordered,[status(thm)],[609,2607]) ).
thf(2791,plain,
( ~ ( sk3 @ sk15 )
| ~ ( sk3 @ sk16 )
| ~ ( sk3 @ sk17 ) ),
inference(pattern_uni,[status(thm)],[2790:[]]) ).
thf(3058,plain,
( ~ ( sk3 @ sk15 )
| ~ ( sk3 @ sk17 )
| ( ( sk3 @ sk16 )
!= ( sk3 @ sk16 ) ) ),
inference(paramod_ordered,[status(thm)],[461,2791]) ).
thf(3059,plain,
( ~ ( sk3 @ sk15 )
| ~ ( sk3 @ sk17 ) ),
inference(pattern_uni,[status(thm)],[3058:[]]) ).
thf(3195,plain,
( ~ ( sk3 @ sk15 )
| ( ( sk3 @ sk17 )
!= ( sk3 @ sk17 ) ) ),
inference(paramod_ordered,[status(thm)],[451,3059]) ).
thf(3196,plain,
~ ( sk3 @ sk15 ),
inference(pattern_uni,[status(thm)],[3195:[]]) ).
thf(3331,plain,
( $false
| ( sk5 @ ( sk1 @ sk17 ) ) ),
inference(rewrite,[status(thm)],[473,3196]) ).
thf(3332,plain,
sk5 @ ( sk1 @ sk17 ),
inference(simp,[status(thm)],[3331]) ).
thf(14,plain,
( sk9
| sk12
| ( sk3 @ sk15 )
| ( sk3 @ sk16 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(126,plain,
( $false
| sk12
| ( sk3 @ sk15 )
| ( sk3 @ sk16 ) ),
inference(rewrite,[status(thm)],[14,109]) ).
thf(127,plain,
( sk12
| ( sk3 @ sk15 )
| ( sk3 @ sk16 ) ),
inference(simp,[status(thm)],[126]) ).
thf(149,plain,
! [A: g] :
( sk12
| ( sk3 @ sk15 )
| ( sk5 @ ( sk1 @ A ) )
| ( ( sk3 @ sk16 )
!= ( sk3 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[127,32]) ).
thf(150,plain,
( sk12
| ( sk3 @ sk15 )
| ( sk5 @ ( sk1 @ sk16 ) ) ),
inference(pattern_uni,[status(thm)],[149:[bind(A,$thf( sk16 ))]]) ).
thf(448,plain,
( $false
| ( sk3 @ sk15 )
| ( sk5 @ ( sk1 @ sk16 ) ) ),
inference(rewrite,[status(thm)],[150,435]) ).
thf(449,plain,
( ( sk3 @ sk15 )
| ( sk5 @ ( sk1 @ sk16 ) ) ),
inference(simp,[status(thm)],[448]) ).
thf(3287,plain,
( $false
| ( sk5 @ ( sk1 @ sk16 ) ) ),
inference(rewrite,[status(thm)],[449,3196]) ).
thf(3288,plain,
sk5 @ ( sk1 @ sk16 ),
inference(simp,[status(thm)],[3287]) ).
thf(30028,plain,
( ~ $true
| ~ $true
| ( ( sk2 @ ( sk6 @ ( sk1 @ sk16 ) @ ( sk1 @ sk17 ) ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) )
| $false ),
inference(rewrite,[status(thm)],[638,3332,3288,3196]) ).
thf(30029,plain,
( ( sk2 @ ( sk6 @ ( sk1 @ sk16 ) @ ( sk1 @ sk17 ) ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) ),
inference(simp,[status(thm)],[30028]) ).
thf(30031,plain,
! [B: g,A: g] :
( ~ ( sk3 @ A )
| ~ ( sk3 @ B )
| ( ( sk2 @ ( sk1 @ ( sk4 @ A @ B ) ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) )
| ( ( sk6 @ ( sk1 @ A ) @ ( sk1 @ B ) )
!= ( sk6 @ ( sk1 @ sk16 ) @ ( sk1 @ sk17 ) ) ) ),
inference(paramod_ordered,[status(thm)],[31,30029]) ).
thf(30032,plain,
( ~ ( sk3 @ sk16 )
| ~ ( sk3 @ sk17 )
| ( ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) )
!= ( sk2 @ ( sk1 @ ( sk4 @ sk16 @ sk17 ) ) ) ) ),
inference(pattern_uni,[status(thm)],[30031:[bind(A,$thf( sk16 )),bind(B,$thf( sk17 ))]]) ).
thf(30033,plain,
( ~ ( sk3 @ sk16 )
| ~ ( sk3 @ sk17 ) ),
inference(simp,[status(thm)],[30032]) ).
thf(476,plain,
( ( sk3 @ sk15 )
| ( ( sk3 @ sk17 )
!= ( sk3 @ sk15 ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[455]) ).
thf(477,plain,
( ( sk3 @ sk15 )
| ( ( sk3 @ sk17 )
!= ( sk3 @ sk15 ) ) ),
inference(simp,[status(thm)],[476]) ).
thf(3319,plain,
( $false
| ( sk3 @ sk17 ) ),
inference(rewrite,[status(thm)],[477,3196]) ).
thf(3320,plain,
sk3 @ sk17,
inference(simp,[status(thm)],[3319]) ).
thf(40,plain,
( sk9
| sk12
| ( sk3 @ sk15 )
| ( ( sk3 @ sk16 )
!= ( sk3 @ sk15 ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[14]) ).
thf(41,plain,
( sk9
| sk12
| ( sk3 @ sk15 )
| ( ( sk3 @ sk16 )
!= ( sk3 @ sk15 ) ) ),
inference(simp,[status(thm)],[40]) ).
thf(1021,plain,
( $false
| $false
| ( sk3 @ sk15 )
| ( ( sk3 @ sk16 )
!= ( sk3 @ sk15 ) ) ),
inference(rewrite,[status(thm)],[41,435,109]) ).
thf(1022,plain,
( ( sk3 @ sk15 )
| ( ( sk3 @ sk16 )
!= ( sk3 @ sk15 ) ) ),
inference(simp,[status(thm)],[1021]) ).
thf(3321,plain,
( $false
| ( sk3 @ sk16 ) ),
inference(rewrite,[status(thm)],[1022,3196]) ).
thf(3322,plain,
sk3 @ sk16,
inference(simp,[status(thm)],[3321]) ).
thf(30228,plain,
( ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[30033,3320,3322]) ).
thf(30229,plain,
$false,
inference(simp,[status(thm)],[30228]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEU904^5 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.11 % Command : run_Leo-III %s %d
% 0.12/0.31 % Computer : n026.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Sun May 19 18:05:09 EDT 2024
% 0.12/0.31 % CPUTime :
% 1.00/0.94 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.29/1.13 % [INFO] Parsing done (180ms).
% 1.29/1.14 % [INFO] Running in sequential loop mode.
% 1.97/1.50 % [INFO] nitpick registered as external prover.
% 1.97/1.51 % [INFO] Scanning for conjecture ...
% 2.28/1.63 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.28/1.68 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.28/1.68 % [INFO] Problem is higher-order (TPTP THF).
% 2.28/1.69 % [INFO] Type checking passed.
% 2.28/1.70 % [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 ...
% 162.78/28.76 % [INFO] Killing All external provers ...
% 162.78/28.77 % Time passed: 28307ms (effective reasoning time: 27625ms)
% 162.78/28.77 % 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)>
% 162.78/28.77 % Axioms used in derivation (0):
% 162.78/28.77 % No. of inferences in proof: 121
% 162.78/28.77 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 28307 ms resp. 27625 ms w/o parsing
% 162.96/28.89 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 162.96/28.89 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------