TSTP Solution File: SEV273^5 by Leo-III---1.7.15
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : SEV273^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n024.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 15:58:41 EDT 2024
% Result : Theorem 23.92s 5.89s
% Output : Refutation 23.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 1
% Syntax : Number of formulae : 115 ( 31 unt; 0 typ; 0 def)
% Number of atoms : 425 ( 111 equ; 0 cnn)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 1385 ( 275 ~; 146 |; 9 &; 940 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 58 ( 58 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 337 ( 162 ^ 169 !; 6 ?; 337 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(cR_type,type,
cR: a > a > $o ).
thf(sk1_type,type,
sk1: ( a > $o ) > a ).
thf(sk2_type,type,
sk2: a > ( a > $o ) > a ).
thf(sk3_type,type,
sk3: a ).
thf(1,conjecture,
( ! [A: a > $o] :
( ? [B: a] : ( A @ B )
=> ? [B: a] :
( ( A @ B )
& ! [C: a] :
( ( A @ C )
=> ( cR @ B @ C ) )
& ! [C: a] :
( ( ( A @ C )
& ! [D: a] :
( ( A @ D )
=> ( cR @ C @ D ) ) )
=> ( C = B ) ) ) )
=> ! [A: a] : ( cR @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM542_pme) ).
thf(2,negated_conjecture,
~ ( ! [A: a > $o] :
( ? [B: a] : ( A @ B )
=> ? [B: a] :
( ( A @ B )
& ! [C: a] :
( ( A @ C )
=> ( cR @ B @ C ) )
& ! [C: a] :
( ( ( A @ C )
& ! [D: a] :
( ( A @ D )
=> ( cR @ C @ D ) ) )
=> ( C = B ) ) ) )
=> ! [A: a] : ( cR @ A @ A ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: a > $o] :
( ? [B: a] : ( A @ B )
=> ? [B: a] :
( ( A @ B )
& ! [C: a] :
( ( A @ C )
=> ( cR @ B @ C ) )
& ! [C: a] :
( ( ( A @ C )
& ! [D: a] :
( ( A @ D )
=> ( cR @ C @ D ) ) )
=> ( C = B ) ) ) )
=> ! [A: a] : ( cR @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
! [C: a,B: a,A: a > $o] :
( ~ ( A @ B )
| ~ ( A @ C )
| ( cR @ ( sk1 @ A ) @ C ) ),
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
! [C: a,B: a,A: a > $o] :
( ~ ( A @ B )
| ~ ( A @ C )
| ~ ( cR @ C @ ( sk2 @ C @ A ) )
| ( C
= ( sk1 @ A ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(9,plain,
! [C: a,B: a,A: a > $o] :
( ( C
= ( sk1 @ A ) )
| ~ ( A @ B )
| ~ ( A @ C )
| ~ ( cR @ C @ ( sk2 @ C @ A ) ) ),
inference(lifteq,[status(thm)],[6]) ).
thf(10,plain,
! [C: a,B: a,A: a > $o] :
( ( C
= ( sk1 @ A ) )
| ~ ( A @ B )
| ~ ( A @ C )
| ~ ( cR @ C @ ( sk2 @ C @ A ) ) ),
inference(simp,[status(thm)],[9]) ).
thf(21,plain,
! [A: a] :
( ~ $true
| ~ $true
| ( cR
@ ( sk1
@ ^ [B: a] : $true )
@ A ) ),
inference(prim_subst,[status(thm)],[5:[bind(A,$thf( ^ [D: a] : $true ))]]) ).
thf(46,plain,
! [A: a] :
( cR
@ ( sk1
@ ^ [B: a] : $true )
@ A ),
inference(simp,[status(thm)],[21]) ).
thf(20,plain,
! [C: a > $o,B: a,A: a] :
( ~ ~ ( C @ A )
| ~ ~ ( C @ B )
| ( cR
@ ( sk1
@ ^ [D: a] :
~ ( C @ D ) )
@ B ) ),
inference(prim_subst,[status(thm)],[5:[bind(A,$thf( ^ [E: a] : ~ ( D @ E ) ))]]) ).
thf(44,plain,
! [C: a > $o,B: a,A: a] :
( ( cR
@ ( sk1
@ ^ [D: a] :
~ ( C @ D ) )
@ B )
| ( C @ B )
| ( C @ A ) ),
inference(cnf,[status(esa)],[20]) ).
thf(45,plain,
! [C: a > $o,B: a,A: a] :
( ( cR
@ ( sk1
@ ^ [D: a] :
~ ( C @ D ) )
@ B )
| ( C @ B )
| ( C @ A ) ),
inference(simp,[status(thm)],[44]) ).
thf(8,plain,
~ ( cR @ sk3 @ sk3 ),
inference(cnf,[status(esa)],[3]) ).
thf(470,plain,
! [C: a > $o,B: a,A: a] :
( ( cR
@ ( sk1
@ ^ [D: a] :
~ ( C @ D ) )
@ B )
| ( C @ A )
| ( ( C @ B )
!= ( cR @ sk3 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[45,8]) ).
thf(572,plain,
! [A: a] :
( ( cR
@ ( sk1
@ ^ [B: a] :
~ ( cR @ B @ sk3 ) )
@ sk3 )
| ( cR @ A @ sk3 ) ),
inference(pre_uni,[status(thm)],[470:[bind(A,$thf( A )),bind(B,$thf( sk3 )),bind(C,$thf( ^ [D: a] : ( cR @ D @ sk3 ) ))]]) ).
thf(1056,plain,
! [A: a] :
( ( cR
@ ( sk1
@ ^ [B: a] :
~ ( cR @ B @ sk3 ) )
@ sk3 )
| ( ( cR @ A @ sk3 )
!= ( cR
@ ( sk1
@ ^ [B: a] :
~ ( cR @ B @ sk3 ) )
@ sk3 ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[572]) ).
thf(1125,plain,
( cR
@ ( sk1
@ ^ [A: a] :
~ ( cR @ A @ sk3 ) )
@ sk3 ),
inference(pattern_uni,[status(thm)],[1056:[bind(A,$thf( sk1 @ ^ [B: a] : ~ ( cR @ B @ sk3 ) ))]]) ).
thf(55,plain,
! [A: a] :
( ( cR
@ ( sk1
@ ^ [B: a] : $true )
@ A )
!= ( cR @ sk3 @ sk3 ) ),
inference(paramod_ordered,[status(thm)],[46,8]) ).
thf(61,plain,
! [A: a] :
( ( ( sk1
@ ^ [B: a] : $true )
!= sk3 )
| ( A != sk3 ) ),
inference(simp,[status(thm)],[55]) ).
thf(66,plain,
( ( sk1
@ ^ [A: a] : $true )
!= sk3 ),
inference(simp,[status(thm)],[61]) ).
thf(222,plain,
! [C: a,B: a,A: a > $o] :
( ~ ( A @ B )
| ~ ( A @ C )
| ~ ( cR @ C @ ( sk2 @ C @ A ) )
| ( C != sk3 )
| ( ( sk1 @ A )
!= ( sk1
@ ^ [D: a] : $true ) ) ),
inference(paramod_ordered,[status(thm)],[10,66]) ).
thf(223,plain,
! [A: a] :
( ~ $true
| ~ $true
| ~ ( cR @ A
@ ( sk2 @ A
@ ^ [B: a] : $true ) )
| ( A != sk3 ) ),
inference(pattern_uni,[status(thm)],[222:[bind(A,$thf( ^ [D: a] : $true ))]]) ).
thf(293,plain,
~ ( cR @ sk3
@ ( sk2 @ sk3
@ ^ [A: a] : $true ) ),
inference(simp,[status(thm)],[223]) ).
thf(316,plain,
! [C: a,B: a,A: a > $o] :
( ~ ( A @ B )
| ~ ( A @ C )
| ( ( cR @ ( sk1 @ A ) @ C )
!= ( cR @ sk3
@ ( sk2 @ sk3
@ ^ [D: a] : $true ) ) ) ),
inference(paramod_ordered,[status(thm)],[5,293]) ).
thf(340,plain,
! [C: a,B: a,A: a > $o] :
( ~ ( A @ B )
| ~ ( A @ C )
| ( ( sk1 @ A )
!= sk3 )
| ( C
!= ( sk2 @ sk3
@ ^ [D: a] : $true ) ) ),
inference(simp,[status(thm)],[316]) ).
thf(346,plain,
! [B: a,A: a > $o] :
( ~ ( A @ B )
| ~ ( A
@ ( sk2 @ sk3
@ ^ [C: a] : $true ) )
| ( ( sk1 @ A )
!= sk3 ) ),
inference(simp,[status(thm)],[340]) ).
thf(1220,plain,
! [B: a,A: a > $o] :
( ~ ( A
@ ( sk2 @ sk3
@ ^ [C: a] : $true ) )
| ( ( sk1 @ A )
!= sk3 )
| ( ( cR
@ ( sk1
@ ^ [C: a] :
~ ( cR @ C @ sk3 ) )
@ sk3 )
!= ( A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[1125,346]) ).
thf(1267,plain,
( ~ ( cR
@ ( sk2 @ sk3
@ ^ [A: a] : $true )
@ sk3 )
| ( ( sk1
@ ^ [A: a] : ( cR @ A @ sk3 ) )
!= sk3 ) ),
inference(pre_uni,[status(thm)],[1220:[bind(A,$thf( ^ [C: a] : ( cR @ C @ sk3 ) )),bind(B,$thf( sk1 @ ^ [C: a] : ~ ( cR @ C @ sk3 ) ))]]) ).
thf(1317,plain,
! [A: a] :
( ( ( sk1
@ ^ [B: a] : ( cR @ B @ sk3 ) )
!= sk3 )
| ( ( cR
@ ( sk1
@ ^ [B: a] : $true )
@ A )
!= ( cR
@ ( sk2 @ sk3
@ ^ [B: a] : $true )
@ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[46,1267]) ).
thf(1364,plain,
! [A: a] :
( ( ( sk1
@ ^ [B: a] : ( cR @ B @ sk3 ) )
!= sk3 )
| ( ( sk2 @ sk3
@ ^ [B: a] : $true )
!= ( sk1
@ ^ [B: a] : $true ) )
| ( A != sk3 ) ),
inference(simp,[status(thm)],[1317]) ).
thf(1386,plain,
( ( ( sk1
@ ^ [A: a] : ( cR @ A @ sk3 ) )
!= sk3 )
| ( ( sk2 @ sk3
@ ^ [A: a] : $true )
!= ( sk1
@ ^ [A: a] : $true ) ) ),
inference(simp,[status(thm)],[1364]) ).
thf(17,plain,
! [C: a,B: a,A: a > $o] :
( ~ ( A @ B )
| ( cR @ ( sk1 @ A ) @ C )
| ( ( A @ C )
!= ( A @ B ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[5]) ).
thf(28,plain,
! [C: a,B: a,A: a > $o] :
( ~ ( A @ B )
| ( cR @ ( sk1 @ A ) @ C )
| ( ( A @ C )
!= ( A @ B ) ) ),
inference(pre_uni,[status(thm)],[17:[]]) ).
thf(29,plain,
! [C: a,B: a,A: a > $o] :
( ( cR @ ( sk1 @ A ) @ C )
| ~ ( A @ B )
| ( ( A @ C )
!= ( A @ B ) ) ),
inference(pre_uni,[status(thm)],[28:[]]) ).
thf(1808,plain,
! [C: a,B: a,A: a > $o] :
( ( cR @ ( sk1 @ A ) @ C )
| ( ( A @ C )
!= ( A @ B ) )
| ( ( cR
@ ( sk1
@ ^ [D: a] :
~ ( cR @ D @ sk3 ) )
@ sk3 )
!= ( A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[1125,29]) ).
thf(1867,plain,
! [A: a] :
( ( cR
@ ( sk1
@ ^ [B: a] :
( cR
@ ( sk1
@ ^ [C: a] :
~ ( cR @ C @ B ) )
@ B ) )
@ A )
| ( ( cR
@ ( sk1
@ ^ [B: a] :
~ ( cR @ B @ A ) )
@ A )
!= ( cR
@ ( sk1
@ ^ [B: a] :
~ ( cR @ B @ sk3 ) )
@ sk3 ) ) ),
inference(pre_uni,[status(thm)],[1808:[bind(A,$thf( ^ [D: a] : ( cR @ ( sk1 @ ^ [E: a] : ~ ( cR @ E @ D ) ) @ D ) )),bind(B,$thf( sk3 )),bind(C,$thf( C ))]]) ).
thf(1871,plain,
( cR
@ ( sk1
@ ^ [A: a] :
( cR
@ ( sk1
@ ^ [B: a] :
~ ( cR @ B @ A ) )
@ A ) )
@ sk3 ),
inference(pattern_uni,[status(thm)],[1867:[bind(A,$thf( sk3 ))]]) ).
thf(1830,plain,
! [C: a,B: a,A: a > $o] :
( ( cR @ ( sk1 @ A ) @ C )
| ( ( A @ C )
!= ( A @ B ) )
| ( ( A @ B )
!= ( ~ ( cR @ ( sk1 @ A ) @ C ) ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[29]) ).
thf(1905,plain,
! [A: a > a] :
( ( cR
@ ( sk1
@ ^ [B: a] :
~ ( cR @ B @ ( A @ B ) ) )
@ ( A
@ ( sk1
@ ^ [B: a] :
~ ( cR @ B @ ( A @ B ) ) ) ) )
| ( ( ~ ( cR
@ ( A
@ ( sk1
@ ^ [B: a] :
~ ( cR @ B @ ( A @ B ) ) ) )
@ ( A
@ ( A
@ ( sk1
@ ^ [B: a] :
~ ( cR @ B @ ( A @ B ) ) ) ) ) ) )
!= ( ~ ( cR
@ ( sk1
@ ^ [B: a] :
~ ( cR @ B @ ( A @ B ) ) )
@ ( A
@ ( sk1
@ ^ [B: a] :
~ ( cR @ B @ ( A @ B ) ) ) ) ) ) ) ),
inference(pre_uni,[status(thm)],[1830:[bind(A,$thf( ^ [E: a] : ~ ( cR @ E @ ( F @ E ) ) )),bind(B,$thf( sk1 @ ^ [E: a] : ~ ( cR @ E @ ( F @ E ) ) )),bind(C,$thf( F @ ( sk1 @ ^ [E: a] : ~ ( cR @ E @ ( F @ E ) ) ) ))]]) ).
thf(1906,plain,
( cR
@ ( sk1
@ ^ [A: a] :
~ ( cR @ A @ A ) )
@ ( sk1
@ ^ [A: a] :
~ ( cR @ A @ A ) ) ),
inference(pre_uni,[status(thm)],[1905:[bind(A,$thf( ^ [B: a] : B ))]]) ).
thf(2065,plain,
! [C: a,B: a,A: a > $o] :
( ( cR @ ( sk1 @ A ) @ C )
| ( ( A @ C )
!= ( A @ B ) )
| ( ( cR
@ ( sk1
@ ^ [D: a] :
~ ( cR @ D @ D ) )
@ ( sk1
@ ^ [D: a] :
~ ( cR @ D @ D ) ) )
!= ( A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[1906,29]) ).
thf(2083,plain,
! [A: a] :
( ( cR
@ ( sk1
@ ^ [B: a] : ( cR @ B @ B ) )
@ A )
| ( ( cR @ A @ A )
!= ( cR
@ ( sk1
@ ^ [B: a] :
~ ( cR @ B @ B ) )
@ ( sk1
@ ^ [B: a] :
~ ( cR @ B @ B ) ) ) ) ),
inference(pre_uni,[status(thm)],[2065:[bind(A,$thf( ^ [D: a] : ( cR @ D @ D ) )),bind(B,$thf( sk1 @ ^ [D: a] : ~ ( cR @ D @ D ) )),bind(C,$thf( C ))]]) ).
thf(2086,plain,
( cR
@ ( sk1
@ ^ [A: a] : ( cR @ A @ A ) )
@ ( sk1
@ ^ [A: a] :
~ ( cR @ A @ A ) ) ),
inference(pattern_uni,[status(thm)],[2083:[bind(A,$thf( sk1 @ ^ [B: a] : ~ ( cR @ B @ B ) ))]]) ).
thf(2165,plain,
! [C: a,B: a,A: a > $o] :
( ( cR @ ( sk1 @ A ) @ C )
| ( ( A @ C )
!= ( A @ B ) )
| ( ( cR
@ ( sk1
@ ^ [D: a] : ( cR @ D @ D ) )
@ ( sk1
@ ^ [D: a] :
~ ( cR @ D @ D ) ) )
!= ( A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[2086,29]) ).
thf(2176,plain,
! [A: a] :
( ( cR
@ ( sk1
@ ( cR
@ ( sk1
@ ^ [B: a] : ( cR @ B @ B ) ) ) )
@ A )
| ( ( cR
@ ( sk1
@ ^ [B: a] : ( cR @ B @ B ) )
@ A )
!= ( cR
@ ( sk1
@ ^ [B: a] : ( cR @ B @ B ) )
@ ( sk1
@ ^ [B: a] :
~ ( cR @ B @ B ) ) ) ) ),
inference(pre_uni,[status(thm)],[2165:[bind(A,$thf( cR @ ( sk1 @ ^ [D: a] : ( cR @ D @ D ) ) )),bind(B,$thf( sk1 @ ^ [D: a] : ~ ( cR @ D @ D ) )),bind(C,$thf( C ))]]) ).
thf(2178,plain,
( cR
@ ( sk1
@ ( cR
@ ( sk1
@ ^ [A: a] : ( cR @ A @ A ) ) ) )
@ ( sk1
@ ^ [A: a] :
~ ( cR @ A @ A ) ) ),
inference(pattern_uni,[status(thm)],[2176:[bind(A,$thf( sk1 @ ^ [B: a] : ~ ( cR @ B @ B ) ))]]) ).
thf(16,plain,
! [C: a,B: a,A: a > $o] :
( ~ ( A @ B )
| ~ ( A @ C )
| ( ( cR @ ( sk1 @ A ) @ C )
!= ( cR @ sk3 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[5,8]) ).
thf(31,plain,
! [C: a,B: a,A: a > $o] :
( ~ ( A @ B )
| ~ ( A @ C )
| ( ( sk1 @ A )
!= sk3 )
| ( C != sk3 ) ),
inference(simp,[status(thm)],[16]) ).
thf(51,plain,
! [B: a,A: a > $o] :
( ~ ( A @ B )
| ~ ( A @ sk3 )
| ( ( sk1 @ A )
!= sk3 ) ),
inference(simp,[status(thm)],[31]) ).
thf(75,plain,
! [B: a > $o,A: a] :
( ~ ~ ( B @ A )
| ~ ~ ( B @ sk3 )
| ( ( sk1
@ ^ [C: a] :
~ ( B @ C ) )
!= sk3 ) ),
inference(prim_subst,[status(thm)],[51:[bind(A,$thf( ^ [D: a] : ~ ( C @ D ) ))]]) ).
thf(94,plain,
! [B: a > $o,A: a] :
( ( ( sk1
@ ^ [C: a] :
~ ( B @ C ) )
!= sk3 )
| ( B @ sk3 )
| ( B @ A ) ),
inference(cnf,[status(esa)],[75]) ).
thf(95,plain,
! [B: a > $o,A: a] :
( ( ( sk1
@ ^ [C: a] :
~ ( B @ C ) )
!= sk3 )
| ( B @ sk3 )
| ( B @ A ) ),
inference(simp,[status(thm)],[94]) ).
thf(125,plain,
! [B: a > $o,A: a] :
( ( ( sk1
@ ^ [C: a] :
~ ( B @ C ) )
!= sk3 )
| ( B @ sk3 )
| ( ( B @ A )
!= ( cR @ sk3 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[95,8]) ).
thf(151,plain,
( ( ( sk1
@ ^ [A: a] :
~ ( cR @ A @ A ) )
!= sk3 )
| ( cR @ sk3 @ sk3 ) ),
inference(pre_uni,[status(thm)],[125:[bind(A,$thf( sk3 )),bind(B,$thf( ^ [C: a] : ( cR @ C @ C ) ))]]) ).
thf(348,plain,
( ( ( sk1
@ ^ [A: a] :
~ ( cR @ A @ A ) )
!= sk3 )
| $false ),
inference(rewrite,[status(thm)],[151,8]) ).
thf(349,plain,
( ( sk1
@ ^ [A: a] :
~ ( cR @ A @ A ) )
!= sk3 ),
inference(simp,[status(thm)],[348]) ).
thf(2177,plain,
! [A: a] :
( ( cR
@ ( sk1
@ ^ [B: a] :
( cR @ B
@ ( sk1
@ ^ [C: a] :
~ ( cR @ C @ C ) ) ) )
@ A )
| ( ( cR @ A
@ ( sk1
@ ^ [B: a] :
~ ( cR @ B @ B ) ) )
!= ( cR
@ ( sk1
@ ^ [B: a] : ( cR @ B @ B ) )
@ ( sk1
@ ^ [B: a] :
~ ( cR @ B @ B ) ) ) ) ),
inference(pre_uni,[status(thm)],[2165:[bind(A,$thf( ^ [D: a] : ( cR @ D @ ( sk1 @ ^ [E: a] : ~ ( cR @ E @ E ) ) ) )),bind(B,$thf( sk1 @ ^ [D: a] : ( cR @ D @ D ) )),bind(C,$thf( C ))]]) ).
thf(2179,plain,
( cR
@ ( sk1
@ ^ [A: a] :
( cR @ A
@ ( sk1
@ ^ [B: a] :
~ ( cR @ B @ B ) ) ) )
@ ( sk1
@ ^ [A: a] : ( cR @ A @ A ) ) ),
inference(pattern_uni,[status(thm)],[2177:[bind(A,$thf( sk1 @ ^ [B: a] : ( cR @ B @ B ) ))]]) ).
thf(1819,plain,
! [D: a,C: a,B: a > $o,A: a] :
( ( cR @ ( sk1 @ B ) @ D )
| ( ( B @ D )
!= ( B @ C ) )
| ( ( cR
@ ( sk1
@ ^ [E: a] : $true )
@ A )
!= ( B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[46,29]) ).
thf(1878,plain,
! [B: a > a,A: a] :
( ( cR
@ ( sk1
@ ^ [C: a] : ( cR @ C @ ( B @ C ) ) )
@ A )
| ( ( cR @ A @ ( B @ A ) )
!= ( cR
@ ( sk1
@ ^ [C: a] : $true )
@ ( B
@ ( sk1
@ ^ [C: a] : $true ) ) ) ) ),
inference(pre_uni,[status(thm)],[1819:[bind(A,$thf( F @ ( sk1 @ ^ [F: a] : $true ) )),bind(B,$thf( ^ [F: a] : ( cR @ F @ ( F @ F ) ) )),bind(C,$thf( sk1 @ ^ [E: a] : $true )),bind(D,$thf( D ))]]) ).
thf(1880,plain,
! [A: a > a] :
( cR
@ ( sk1
@ ^ [B: a] : ( cR @ B @ ( A @ B ) ) )
@ ( sk1
@ ^ [B: a] : $true ) ),
inference(pre_uni,[status(thm)],[1878:[bind(A,$thf( sk1 @ ^ [C: a] : $true ))]]) ).
thf(1953,plain,
! [A: a > a] :
( cR
@ ( sk1
@ ^ [B: a] : ( cR @ B @ ( A @ B ) ) )
@ ( sk1
@ ^ [B: a] : $true ) ),
inference(simp,[status(thm)],[1880]) ).
thf(1323,plain,
( ( ( sk1
@ ^ [A: a] : ( cR @ A @ sk3 ) )
!= sk3 )
| ( ( cR
@ ( sk2 @ sk3
@ ^ [A: a] : $true )
@ sk3 )
!= ( cR
@ ( sk1
@ ^ [A: a] :
~ ( cR @ A @ sk3 ) )
@ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[1125,1267]) ).
thf(1357,plain,
( ( ( sk1
@ ^ [A: a] : ( cR @ A @ sk3 ) )
!= sk3 )
| ( ( sk2 @ sk3
@ ^ [A: a] : $true )
!= ( sk1
@ ^ [A: a] :
~ ( cR @ A @ sk3 ) ) )
| ( sk3 != sk3 ) ),
inference(simp,[status(thm)],[1323]) ).
thf(1382,plain,
( ( ( sk1
@ ^ [A: a] : ( cR @ A @ sk3 ) )
!= sk3 )
| ( ( sk2 @ sk3
@ ^ [A: a] : $true )
!= ( sk1
@ ^ [A: a] :
~ ( cR @ A @ sk3 ) ) ) ),
inference(simp,[status(thm)],[1357]) ).
thf(573,plain,
! [A: a] :
( ( cR
@ ( sk1
@ ^ [B: a] :
~ ( cR @ sk3 @ B ) )
@ sk3 )
| ( cR @ sk3 @ A ) ),
inference(pre_uni,[status(thm)],[470:[bind(A,$thf( A )),bind(B,$thf( sk3 )),bind(C,$thf( cR @ sk3 ))]]) ).
thf(1504,plain,
! [A: a] :
( ( cR
@ ( sk1
@ ^ [B: a] :
~ ( cR @ sk3 @ B ) )
@ sk3 )
| ( ( cR @ sk3 @ A )
!= ( cR @ sk3
@ ( sk2 @ sk3
@ ^ [B: a] : $true ) ) ) ),
inference(paramod_ordered,[status(thm)],[573,293]) ).
thf(1505,plain,
( cR
@ ( sk1
@ ^ [A: a] :
~ ( cR @ sk3 @ A ) )
@ sk3 ),
inference(pattern_uni,[status(thm)],[1504:[bind(A,$thf( sk2 @ sk3 @ ^ [B: a] : $true ))]]) ).
thf(1829,plain,
! [C: a,B: a,A: a > $o] :
( ( cR @ ( sk1 @ A ) @ C )
| ( ( A @ C )
!= ( A @ B ) )
| ( ( cR
@ ( sk1
@ ^ [D: a] :
~ ( cR @ sk3 @ D ) )
@ sk3 )
!= ( A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[1505,29]) ).
thf(1913,plain,
! [A: a] :
( ( cR
@ ( sk1
@ ( cR
@ ( sk1
@ ^ [B: a] :
~ ( cR @ sk3 @ B ) ) ) )
@ A )
| ( ( cR
@ ( sk1
@ ^ [B: a] :
~ ( cR @ sk3 @ B ) )
@ A )
!= ( cR
@ ( sk1
@ ^ [B: a] :
~ ( cR @ sk3 @ B ) )
@ sk3 ) ) ),
inference(pre_uni,[status(thm)],[1829:[bind(A,$thf( cR @ ( sk1 @ ^ [D: a] : ~ ( cR @ sk3 @ D ) ) )),bind(B,$thf( sk3 )),bind(C,$thf( C ))]]) ).
thf(1917,plain,
( cR
@ ( sk1
@ ( cR
@ ( sk1
@ ^ [A: a] :
~ ( cR @ sk3 @ A ) ) ) )
@ sk3 ),
inference(pattern_uni,[status(thm)],[1913:[bind(A,$thf( sk3 ))]]) ).
thf(3132,plain,
( ( cR
@ ( sk1
@ ( cR
@ ( sk1
@ ^ [A: a] :
~ ( cR @ sk3 @ A ) ) ) )
@ sk3 )
!= ( cR @ sk3 @ sk3 ) ),
inference(paramod_ordered,[status(thm)],[1917,8]) ).
thf(3158,plain,
( ( ( sk1
@ ( cR
@ ( sk1
@ ^ [A: a] :
~ ( cR @ sk3 @ A ) ) ) )
!= sk3 )
| ( sk3 != sk3 ) ),
inference(simp,[status(thm)],[3132]) ).
thf(3173,plain,
( ( sk1
@ ( cR
@ ( sk1
@ ^ [A: a] :
~ ( cR @ sk3 @ A ) ) ) )
!= sk3 ),
inference(simp,[status(thm)],[3158]) ).
thf(7,plain,
! [C: a,B: a,A: a > $o] :
( ~ ( A @ B )
| ~ ( A @ C )
| ( A @ ( sk2 @ C @ A ) )
| ( C
= ( sk1 @ A ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(11,plain,
! [C: a,B: a,A: a > $o] :
( ( C
= ( sk1 @ A ) )
| ~ ( A @ B )
| ~ ( A @ C )
| ( A @ ( sk2 @ C @ A ) ) ),
inference(lifteq,[status(thm)],[7]) ).
thf(12,plain,
! [C: a,B: a,A: a > $o] :
( ( C
= ( sk1 @ A ) )
| ~ ( A @ B )
| ~ ( A @ C )
| ( A @ ( sk2 @ C @ A ) ) ),
inference(simp,[status(thm)],[11]) ).
thf(69,plain,
! [C: a,B: a > $o,A: a] :
( ~ ( B @ sk3 )
| ( ( sk1 @ B )
!= sk3 )
| ( ( cR
@ ( sk1
@ ^ [D: a] : $true )
@ A )
!= ( B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[46,51]) ).
thf(78,plain,
! [A: a > a] :
( ~ ( cR @ sk3 @ ( A @ sk3 ) )
| ( ( sk1
@ ^ [B: a] : ( cR @ B @ ( A @ B ) ) )
!= sk3 ) ),
inference(pre_uni,[status(thm)],[69:[bind(A,$thf( E @ ( sk1 @ ^ [E: a] : $true ) )),bind(B,$thf( ^ [E: a] : ( cR @ E @ ( E @ E ) ) )),bind(C,$thf( sk1 @ ^ [D: a] : $true ))]]) ).
thf(98,plain,
! [A: a > a] :
( ~ ( cR @ sk3 @ ( A @ sk3 ) )
| ( ( sk1
@ ^ [B: a] : ( cR @ B @ ( A @ B ) ) )
!= sk3 ) ),
inference(simp,[status(thm)],[78]) ).
thf(1914,plain,
! [A: a] :
( ( cR
@ ( sk1
@ ^ [B: a] :
( cR
@ ( sk1
@ ^ [C: a] :
~ ( cR @ B @ C ) )
@ B ) )
@ A )
| ( ( cR
@ ( sk1
@ ^ [B: a] :
~ ( cR @ A @ B ) )
@ A )
!= ( cR
@ ( sk1
@ ^ [B: a] :
~ ( cR @ sk3 @ B ) )
@ sk3 ) ) ),
inference(pre_uni,[status(thm)],[1829:[bind(A,$thf( ^ [D: a] : ( cR @ ( sk1 @ ^ [E: a] : ~ ( cR @ D @ E ) ) @ D ) )),bind(B,$thf( sk3 )),bind(C,$thf( C ))]]) ).
thf(1918,plain,
( cR
@ ( sk1
@ ^ [A: a] :
( cR
@ ( sk1
@ ^ [B: a] :
~ ( cR @ A @ B ) )
@ A ) )
@ sk3 ),
inference(pattern_uni,[status(thm)],[1914:[bind(A,$thf( sk3 ))]]) ).
thf(2244,plain,
( ( cR
@ ( sk1
@ ^ [A: a] :
( cR
@ ( sk1
@ ^ [B: a] :
~ ( cR @ A @ B ) )
@ A ) )
@ sk3 )
!= ( cR @ sk3 @ sk3 ) ),
inference(paramod_ordered,[status(thm)],[1918,8]) ).
thf(2259,plain,
( ( ( sk1
@ ^ [A: a] :
( cR
@ ( sk1
@ ^ [B: a] :
~ ( cR @ A @ B ) )
@ A ) )
!= sk3 )
| ( sk3 != sk3 ) ),
inference(simp,[status(thm)],[2244]) ).
thf(2271,plain,
( ( sk1
@ ^ [A: a] :
( cR
@ ( sk1
@ ^ [B: a] :
~ ( cR @ A @ B ) )
@ A ) )
!= sk3 ),
inference(simp,[status(thm)],[2259]) ).
thf(1993,plain,
! [C: a,B: a,A: a > $o] :
( ( cR @ ( sk1 @ A ) @ C )
| ( ( A @ C )
!= ( A @ B ) )
| ( ( cR
@ ( sk1
@ ^ [D: a] :
( cR
@ ( sk1
@ ^ [E: a] :
~ ( cR @ E @ D ) )
@ D ) )
@ sk3 )
!= ( A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[1871,29]) ).
thf(2003,plain,
! [A: a] :
( ( cR
@ ( sk1
@ ^ [B: a] : ( cR @ B @ sk3 ) )
@ A )
| ( ( cR @ A @ sk3 )
!= ( cR
@ ( sk1
@ ^ [B: a] :
( cR
@ ( sk1
@ ^ [C: a] :
~ ( cR @ C @ B ) )
@ B ) )
@ sk3 ) ) ),
inference(pre_uni,[status(thm)],[1993:[bind(A,$thf( ^ [D: a] : ( cR @ D @ sk3 ) )),bind(B,$thf( sk1 @ ^ [D: a] : ( cR @ ( sk1 @ ^ [E: a] : ~ ( cR @ E @ D ) ) @ D ) )),bind(C,$thf( C ))]]) ).
thf(2004,plain,
( cR
@ ( sk1
@ ^ [A: a] : ( cR @ A @ sk3 ) )
@ ( sk1
@ ^ [A: a] :
( cR
@ ( sk1
@ ^ [B: a] :
~ ( cR @ B @ A ) )
@ A ) ) ),
inference(pattern_uni,[status(thm)],[2003:[bind(A,$thf( sk1 @ ^ [B: a] : ( cR @ ( sk1 @ ^ [C: a] : ~ ( cR @ C @ B ) ) @ B ) ))]]) ).
thf(1995,plain,
( ( cR
@ ( sk1
@ ^ [A: a] :
( cR
@ ( sk1
@ ^ [B: a] :
~ ( cR @ B @ A ) )
@ A ) )
@ sk3 )
!= ( cR @ sk3 @ sk3 ) ),
inference(paramod_ordered,[status(thm)],[1871,8]) ).
thf(2010,plain,
( ( ( sk1
@ ^ [A: a] :
( cR
@ ( sk1
@ ^ [B: a] :
~ ( cR @ B @ A ) )
@ A ) )
!= sk3 )
| ( sk3 != sk3 ) ),
inference(simp,[status(thm)],[1995]) ).
thf(2024,plain,
( ( sk1
@ ^ [A: a] :
( cR
@ ( sk1
@ ^ [B: a] :
~ ( cR @ B @ A ) )
@ A ) )
!= sk3 ),
inference(simp,[status(thm)],[2010]) ).
thf(1911,plain,
! [A: a] :
( ( cR
@ ( sk1
@ ^ [B: a] : ( cR @ B @ sk3 ) )
@ A )
| ( ( cR @ A @ sk3 )
!= ( cR
@ ( sk1
@ ^ [B: a] :
~ ( cR @ sk3 @ B ) )
@ sk3 ) ) ),
inference(pre_uni,[status(thm)],[1829:[bind(A,$thf( ^ [D: a] : ( cR @ D @ sk3 ) )),bind(B,$thf( sk1 @ ^ [D: a] : ~ ( cR @ sk3 @ D ) )),bind(C,$thf( C ))]]) ).
thf(1915,plain,
( cR
@ ( sk1
@ ^ [A: a] : ( cR @ A @ sk3 ) )
@ ( sk1
@ ^ [A: a] :
~ ( cR @ sk3 @ A ) ) ),
inference(pattern_uni,[status(thm)],[1911:[bind(A,$thf( sk1 @ ^ [B: a] : ~ ( cR @ sk3 @ B ) ))]]) ).
thf(1864,plain,
! [A: a] :
( ( cR
@ ( sk1
@ ^ [B: a] : ( cR @ B @ sk3 ) )
@ A )
| ( ( cR @ A @ sk3 )
!= ( cR
@ ( sk1
@ ^ [B: a] :
~ ( cR @ B @ sk3 ) )
@ sk3 ) ) ),
inference(pre_uni,[status(thm)],[1808:[bind(A,$thf( ^ [D: a] : ( cR @ D @ sk3 ) )),bind(B,$thf( sk1 @ ^ [D: a] : ~ ( cR @ D @ sk3 ) )),bind(C,$thf( C ))]]) ).
thf(1868,plain,
( cR
@ ( sk1
@ ^ [A: a] : ( cR @ A @ sk3 ) )
@ ( sk1
@ ^ [A: a] :
~ ( cR @ A @ sk3 ) ) ),
inference(pattern_uni,[status(thm)],[1864:[bind(A,$thf( sk1 @ ^ [B: a] : ~ ( cR @ B @ sk3 ) ))]]) ).
thf(15,plain,
! [F: a,E: a,D: a > $o,C: a,B: a,A: a > $o] :
( ~ ( A @ B )
| ~ ( A @ C )
| ~ ( D @ E )
| ( cR @ ( sk1 @ D ) @ F )
| ( ( cR @ ( sk1 @ A ) @ C )
!= ( D @ F ) ) ),
inference(paramod_ordered,[status(thm)],[5,5]) ).
thf(32,plain,
! [E: a > a > $o,D: a > a,C: a,B: a,A: a] :
( ~ ( E @ C @ A )
| ~ ( E @ C @ ( D @ C ) )
| ~ ( cR @ ( sk1 @ ( E @ B ) ) @ ( D @ B ) )
| ( cR
@ ( sk1
@ ^ [F: a] : ( cR @ ( sk1 @ ( E @ F ) ) @ ( D @ F ) ) )
@ C ) ),
inference(pre_uni,[status(thm)],[15:[bind(A,$thf( I @ F )),bind(B,$thf( B )),bind(C,$thf( H @ F )),bind(D,$thf( ^ [I: a] : ( cR @ ( sk1 @ ( I @ I ) ) @ ( H @ I ) ) )),bind(E,$thf( E )),bind(F,$thf( F ))]]) ).
thf(34,plain,
! [E: a > a > $o,D: a > a,C: a,B: a,A: a] :
( ~ ( E @ C @ A )
| ~ ( E @ C @ ( D @ C ) )
| ~ ( cR @ ( sk1 @ ( E @ B ) ) @ ( D @ B ) )
| ( cR
@ ( sk1
@ ^ [F: a] : ( cR @ ( sk1 @ ( E @ F ) ) @ ( D @ F ) ) )
@ C ) ),
inference(simp,[status(thm)],[32]) ).
thf(33,plain,
! [D: a > a,C: a,B: a,A: a > $o] :
( ~ ( A @ B )
| ~ ( A @ ( D @ ( sk1 @ A ) ) )
| ~ ( cR @ C @ ( D @ C ) )
| ( cR
@ ( sk1
@ ^ [E: a] : ( cR @ E @ ( D @ E ) ) )
@ ( sk1 @ A ) ) ),
inference(pre_uni,[status(thm)],[15:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( H @ ( sk1 @ A ) )),bind(D,$thf( ^ [H: a] : ( cR @ H @ ( H @ H ) ) )),bind(E,$thf( E )),bind(F,$thf( sk1 @ A ))]]) ).
thf(35,plain,
! [D: a > a,C: a,B: a,A: a > $o] :
( ~ ( A @ B )
| ~ ( A @ ( D @ ( sk1 @ A ) ) )
| ~ ( cR @ C @ ( D @ C ) )
| ( cR
@ ( sk1
@ ^ [E: a] : ( cR @ E @ ( D @ E ) ) )
@ ( sk1 @ A ) ) ),
inference(simp,[status(thm)],[33]) ).
thf(150,plain,
( ( ( sk1
@ ^ [A: a] :
~ ( cR @ sk3 @ A ) )
!= sk3 )
| ( cR @ sk3 @ sk3 ) ),
inference(pre_uni,[status(thm)],[125:[bind(A,$thf( sk3 )),bind(B,$thf( cR @ sk3 ))]]) ).
thf(369,plain,
( ( ( sk1
@ ^ [A: a] :
~ ( cR @ sk3 @ A ) )
!= sk3 )
| $false ),
inference(rewrite,[status(thm)],[150,8]) ).
thf(370,plain,
( ( sk1
@ ^ [A: a] :
~ ( cR @ sk3 @ A ) )
!= sk3 ),
inference(simp,[status(thm)],[369]) ).
thf(149,plain,
( ( ( sk1
@ ^ [A: a] :
~ ( cR @ A @ sk3 ) )
!= sk3 )
| ( cR @ sk3 @ sk3 ) ),
inference(pre_uni,[status(thm)],[125:[bind(A,$thf( sk3 )),bind(B,$thf( ^ [C: a] : ( cR @ C @ sk3 ) ))]]) ).
thf(358,plain,
( ( ( sk1
@ ^ [A: a] :
~ ( cR @ A @ sk3 ) )
!= sk3 )
| $false ),
inference(rewrite,[status(thm)],[149,8]) ).
thf(359,plain,
( ( sk1
@ ^ [A: a] :
~ ( cR @ A @ sk3 ) )
!= sk3 ),
inference(simp,[status(thm)],[358]) ).
thf(1866,plain,
! [A: a] :
( ( cR
@ ( sk1
@ ( cR
@ ( sk1
@ ^ [B: a] :
~ ( cR @ B @ sk3 ) ) ) )
@ A )
| ( ( cR
@ ( sk1
@ ^ [B: a] :
~ ( cR @ B @ sk3 ) )
@ A )
!= ( cR
@ ( sk1
@ ^ [B: a] :
~ ( cR @ B @ sk3 ) )
@ sk3 ) ) ),
inference(pre_uni,[status(thm)],[1808:[bind(A,$thf( cR @ ( sk1 @ ^ [D: a] : ~ ( cR @ D @ sk3 ) ) )),bind(B,$thf( sk3 )),bind(C,$thf( C ))]]) ).
thf(1870,plain,
( cR
@ ( sk1
@ ( cR
@ ( sk1
@ ^ [A: a] :
~ ( cR @ A @ sk3 ) ) ) )
@ sk3 ),
inference(pattern_uni,[status(thm)],[1866:[bind(A,$thf( sk3 ))]]) ).
thf(2919,plain,
( ( cR
@ ( sk1
@ ( cR
@ ( sk1
@ ^ [A: a] :
~ ( cR @ A @ sk3 ) ) ) )
@ sk3 )
!= ( cR @ sk3 @ sk3 ) ),
inference(paramod_ordered,[status(thm)],[1870,8]) ).
thf(2946,plain,
( ( ( sk1
@ ( cR
@ ( sk1
@ ^ [A: a] :
~ ( cR @ A @ sk3 ) ) ) )
!= sk3 )
| ( sk3 != sk3 ) ),
inference(simp,[status(thm)],[2919]) ).
thf(2951,plain,
( ( sk1
@ ( cR
@ ( sk1
@ ^ [A: a] :
~ ( cR @ A @ sk3 ) ) ) )
!= sk3 ),
inference(simp,[status(thm)],[2946]) ).
thf(136,plain,
! [B: a > $o,A: a] :
( ( ( sk1
@ ^ [C: a] :
~ ~ ( B @ C ) )
!= sk3 )
| ~ ( B @ sk3 )
| ~ ( B @ A ) ),
inference(prim_subst,[status(thm)],[95:[bind(A,$thf( A )),bind(B,$thf( ^ [D: a] : ~ ( C @ D ) ))]]) ).
thf(177,plain,
! [B: a > $o,A: a] :
( ~ ( B @ A )
| ~ ( B @ sk3 )
| ( ( sk1
@ ^ [C: a] :
~ ~ ( B @ C ) )
!= sk3 ) ),
inference(cnf,[status(esa)],[136]) ).
thf(178,plain,
! [B: a > $o,A: a] :
( ~ ( B @ A )
| ~ ( B @ sk3 )
| ( ( sk1 @ B )
!= sk3 ) ),
inference(simp,[status(thm)],[177]) ).
thf(4704,plain,
$false,
inference(e,[status(thm)],[5,10,1386,1871,2178,293,349,2179,1953,1382,3173,1125,12,98,66,2271,1918,2004,46,2024,29,1915,1868,1906,34,45,2086,3,35,95,1267,370,359,8,346,51,2951,178,1505,1917,1870]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV273^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12 % Command : run_Leo-III %s %d THM
% 0.12/0.33 % Computer : n024.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 19:44:10 EDT 2024
% 0.12/0.34 % CPUTime :
% 1.02/0.92 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.29/1.04 % [INFO] Parsing done (115ms).
% 1.29/1.05 % [INFO] Running in sequential loop mode.
% 1.68/1.26 % [INFO] eprover registered as external prover.
% 1.68/1.26 % [INFO] Scanning for conjecture ...
% 1.89/1.31 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.89/1.34 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.89/1.34 % [INFO] Problem is higher-order (TPTP THF).
% 1.89/1.34 % [INFO] Type checking passed.
% 1.89/1.34 % [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 ...
% 23.92/5.89 % External prover 'e' found a proof!
% 23.92/5.89 % [INFO] Killing All external provers ...
% 23.92/5.89 % Time passed: 5360ms (effective reasoning time: 4843ms)
% 23.92/5.89 % 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)>
% 23.92/5.89 % Axioms used in derivation (0):
% 23.92/5.89 % No. of inferences in proof: 115
% 23.92/5.89 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 5360 ms resp. 4843 ms w/o parsing
% 23.92/5.96 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 23.92/5.96 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------