%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT053-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:00:46 AM UTC 2026
% Result : Unsatisfiable 6.83s 3.23s
% Output : Refutation 6.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 7
% Syntax : Number of formulae : 74 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 295 ( 24 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 872 ( 150 ~; 173 |; 0 &; 549 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 5 con; 0-3 aty)
% Number of variables : 111 ( 0 ^; 111 !; 0 ?; 111 :)
% Comments :
%------------------------------------------------------------------------------
thf(dissimilar_decl,type,
dissimilar: $i > $i > $i > $o ).
thf(sk1_decl,type,
sk1: $i ).
thf(sk2_decl,type,
sk2: $i ).
thf(sk3_decl,type,
sk3: $i ).
thf(organization_decl,type,
organization: $i > $o ).
thf(is_aligned_decl,type,
is_aligned: $i > $i > $o ).
thf(1,negated_conjecture,
( ( sk2 @ ( sk3 @ ( sk1 @ dissimilar ) ) )
| ( sk3 @ ( sk2 @ ( sk1 @ dissimilar ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_7_36) ).
thf(12,plain,
( ( sk2 @ ( sk3 @ ( sk1 @ dissimilar ) ) )
| ( sk3 @ ( sk2 @ ( sk1 @ dissimilar ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(16,plain,
( ( sk2 @ ( sk3 @ ( sk1 @ dissimilar ) ) )
| ( sk3 @ ( sk2 @ ( sk1 @ dissimilar ) ) ) ),
inference(cnf,[status(esa)],[12]) ).
thf(7,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ is_aligned ) )
| ( B @ ( A @ is_aligned ) )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_30) ).
thf(22,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ is_aligned ) )
| ( B @ ( A @ is_aligned ) )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(23,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ is_aligned ) )
| ( B @ ( A @ is_aligned ) )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) ) ),
inference(cnf,[status(esa)],[22]) ).
thf(61,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk2 @ ( sk3 @ ( sk1 @ dissimilar ) ) )
!= ( C @ ( B @ ( A @ dissimilar ) ) ) )
| ( C @ ( A @ is_aligned ) )
| ( B @ ( A @ is_aligned ) )
| ~ $true
| ( sk3 @ ( sk2 @ ( sk1 @ dissimilar ) ) ) ),
inference(paramod_ordered,[status(thm)],[16,23]) ).
thf(62,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk2 @ ( sk3 @ ( sk1 @ dissimilar ) ) )
!= ( C @ ( B @ ( A @ dissimilar ) ) ) )
| ( C @ ( A @ is_aligned ) )
| ( B @ ( A @ is_aligned ) )
| ( sk3 @ ( sk2 @ ( sk1 @ dissimilar ) ) ) ),
inference(simp,[status(thm)],[61]) ).
thf(63,plain,
( ( sk2 @ ( sk1 @ is_aligned ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| ( sk3 @ ( sk2 @ ( sk1 @ dissimilar ) ) ) ),
inference(pattern_uni,[status(thm)],[62:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 )),bind(C,$thf( sk2 ))]]) ).
thf(130,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk3 @ ( sk2 @ ( sk1 @ dissimilar ) ) )
!= ( C @ ( B @ ( A @ dissimilar ) ) ) )
| ( C @ ( A @ is_aligned ) )
| ( B @ ( A @ is_aligned ) )
| ~ $true
| ( sk2 @ ( sk1 @ is_aligned ) )
| ( sk3 @ ( sk1 @ is_aligned ) ) ),
inference(paramod_ordered,[status(thm)],[63,23]) ).
thf(131,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk3 @ ( sk2 @ ( sk1 @ dissimilar ) ) )
!= ( C @ ( B @ ( A @ dissimilar ) ) ) )
| ( C @ ( A @ is_aligned ) )
| ( B @ ( A @ is_aligned ) )
| ( sk2 @ ( sk1 @ is_aligned ) )
| ( sk3 @ ( sk1 @ is_aligned ) ) ),
inference(simp,[status(thm)],[130]) ).
thf(132,plain,
( ( sk3 @ ( sk1 @ is_aligned ) )
| ( sk2 @ ( sk1 @ is_aligned ) )
| ( sk2 @ ( sk1 @ is_aligned ) )
| ( sk3 @ ( sk1 @ is_aligned ) ) ),
inference(pattern_uni,[status(thm)],[131:[bind(A,$thf( sk1 )),bind(B,$thf( sk2 )),bind(C,$thf( sk3 ))]]) ).
thf(140,plain,
( ( sk2 @ ( sk1 @ is_aligned ) )
| ( sk3 @ ( sk1 @ is_aligned ) ) ),
inference(simp,[status(thm)],[132]) ).
thf(6,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ dissimilar ) ) )
| ( C @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_33) ).
thf(20,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ dissimilar ) ) )
| ( C @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(21,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ dissimilar ) ) )
| ( C @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
inference(cnf,[status(esa)],[20]) ).
thf(5,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( A @ dissimilar ) ) )
| ( C @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_34) ).
thf(18,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( A @ dissimilar ) ) )
| ( C @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(19,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( A @ dissimilar ) ) )
| ( C @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
inference(cnf,[status(esa)],[18]) ).
thf(4,negated_conjecture,
( ~ ( sk3 @ ( sk2 @ ( sk1 @ dissimilar ) ) )
| ~ ( sk2 @ ( sk3 @ ( sk1 @ dissimilar ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_7_39) ).
thf(15,plain,
( ~ ( sk3 @ ( sk2 @ ( sk1 @ dissimilar ) ) )
| ~ ( sk2 @ ( sk3 @ ( sk1 @ dissimilar ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(17,plain,
( ~ ( sk3 @ ( sk2 @ ( sk1 @ dissimilar ) ) )
| ~ ( sk2 @ ( sk3 @ ( sk1 @ dissimilar ) ) ) ),
inference(cnf,[status(esa)],[15]) ).
thf(67,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( C @ ( A @ dissimilar ) ) )
!= ( sk3 @ ( sk2 @ ( sk1 @ dissimilar ) ) ) )
| ~ $true
| ~ ( sk2 @ ( sk3 @ ( sk1 @ dissimilar ) ) )
| ( C @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
inference(paramod_ordered,[status(thm)],[19,17]) ).
thf(68,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( C @ ( A @ dissimilar ) ) )
!= ( sk3 @ ( sk2 @ ( sk1 @ dissimilar ) ) ) )
| ~ ( sk2 @ ( sk3 @ ( sk1 @ dissimilar ) ) )
| ( C @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
inference(simp,[status(thm)],[67]) ).
thf(69,plain,
( ~ ( sk2 @ ( sk3 @ ( sk1 @ dissimilar ) ) )
| ( sk2 @ ( sk1 @ is_aligned ) )
| ~ ( sk3 @ ( sk1 @ is_aligned ) )
| ~ ( sk1 @ organization ) ),
inference(pattern_uni,[status(thm)],[68:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 )),bind(C,$thf( sk2 ))]]) ).
thf(214,plain,
! [C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ dissimilar ) ) )
!= ( sk2 @ ( sk3 @ ( sk1 @ dissimilar ) ) ) )
| ~ $true
| ( sk2 @ ( sk1 @ is_aligned ) )
| ~ ( sk3 @ ( sk1 @ is_aligned ) )
| ~ ( sk1 @ organization )
| ( C @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
inference(paramod_ordered,[status(thm)],[21,69]) ).
thf(215,plain,
! [C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ dissimilar ) ) )
!= ( sk2 @ ( sk3 @ ( sk1 @ dissimilar ) ) ) )
| ( sk2 @ ( sk1 @ is_aligned ) )
| ~ ( sk3 @ ( sk1 @ is_aligned ) )
| ~ ( sk1 @ organization )
| ( C @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
inference(simp,[status(thm)],[214]) ).
thf(216,plain,
( ( sk2 @ ( sk1 @ is_aligned ) )
| ~ ( sk3 @ ( sk1 @ is_aligned ) )
| ~ ( sk1 @ organization )
| ( sk2 @ ( sk1 @ is_aligned ) )
| ~ ( sk3 @ ( sk1 @ is_aligned ) )
| ~ ( sk1 @ organization ) ),
inference(pattern_uni,[status(thm)],[215:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 )),bind(C,$thf( sk2 ))]]) ).
thf(220,plain,
( ( sk2 @ ( sk1 @ is_aligned ) )
| ~ ( sk3 @ ( sk1 @ is_aligned ) )
| ~ ( sk1 @ organization ) ),
inference(simp,[status(thm)],[216]) ).
thf(8,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ organization )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_29) ).
thf(24,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ organization )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(25,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ organization )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) ) ),
inference(cnf,[status(esa)],[24]) ).
thf(199,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk2 @ ( sk3 @ ( sk1 @ dissimilar ) ) )
!= ( C @ ( B @ ( A @ dissimilar ) ) ) )
| ( A @ organization )
| ~ $true
| ( sk3 @ ( sk2 @ ( sk1 @ dissimilar ) ) ) ),
inference(paramod_ordered,[status(thm)],[16,25]) ).
thf(200,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk2 @ ( sk3 @ ( sk1 @ dissimilar ) ) )
!= ( C @ ( B @ ( A @ dissimilar ) ) ) )
| ( A @ organization )
| ( sk3 @ ( sk2 @ ( sk1 @ dissimilar ) ) ) ),
inference(simp,[status(thm)],[199]) ).
thf(201,plain,
( ( sk1 @ organization )
| ( sk3 @ ( sk2 @ ( sk1 @ dissimilar ) ) ) ),
inference(pattern_uni,[status(thm)],[200:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 )),bind(C,$thf( sk2 ))]]) ).
thf(223,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk3 @ ( sk2 @ ( sk1 @ dissimilar ) ) )
!= ( C @ ( B @ ( A @ dissimilar ) ) ) )
| ( A @ organization )
| ~ $true
| ( sk1 @ organization ) ),
inference(paramod_ordered,[status(thm)],[201,25]) ).
thf(224,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk3 @ ( sk2 @ ( sk1 @ dissimilar ) ) )
!= ( C @ ( B @ ( A @ dissimilar ) ) ) )
| ( A @ organization )
| ( sk1 @ organization ) ),
inference(simp,[status(thm)],[223]) ).
thf(225,plain,
( ( sk1 @ organization )
| ( sk1 @ organization ) ),
inference(pattern_uni,[status(thm)],[224:[bind(A,$thf( sk1 )),bind(B,$thf( sk2 )),bind(C,$thf( sk3 ))]]) ).
thf(248,plain,
sk1 @ organization,
inference(simp,[status(thm)],[225]) ).
thf(365,plain,
( ( sk2 @ ( sk1 @ is_aligned ) )
| ~ ( sk3 @ ( sk1 @ is_aligned ) )
| ~ $true ),
inference(rewrite,[status(thm)],[220,248]) ).
thf(366,plain,
( ( sk2 @ ( sk1 @ is_aligned ) )
| ~ ( sk3 @ ( sk1 @ is_aligned ) ) ),
inference(simp,[status(thm)],[365]) ).
thf(370,plain,
( ( ( sk3 @ ( sk1 @ is_aligned ) )
!= ( sk3 @ ( sk1 @ is_aligned ) ) )
| ( sk2 @ ( sk1 @ is_aligned ) )
| ~ $true
| ( sk2 @ ( sk1 @ is_aligned ) ) ),
inference(paramod_ordered,[status(thm)],[140,366]) ).
thf(371,plain,
( ( ( sk3 @ ( sk1 @ is_aligned ) )
!= ( sk3 @ ( sk1 @ is_aligned ) ) )
| ( sk2 @ ( sk1 @ is_aligned ) ) ),
inference(simp,[status(thm)],[370]) ).
thf(372,plain,
sk2 @ ( sk1 @ is_aligned ),
inference(pattern_uni,[status(thm)],[371:[]]) ).
thf(64,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( C @ ( A @ dissimilar ) ) )
!= ( sk2 @ ( sk3 @ ( sk1 @ dissimilar ) ) ) )
| ~ ( sk3 @ ( sk2 @ ( sk1 @ dissimilar ) ) )
| ~ $true
| ( C @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
inference(paramod_ordered,[status(thm)],[19,17]) ).
thf(65,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( C @ ( A @ dissimilar ) ) )
!= ( sk2 @ ( sk3 @ ( sk1 @ dissimilar ) ) ) )
| ~ ( sk3 @ ( sk2 @ ( sk1 @ dissimilar ) ) )
| ( C @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
inference(simp,[status(thm)],[64]) ).
thf(66,plain,
( ~ ( sk3 @ ( sk2 @ ( sk1 @ dissimilar ) ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| ~ ( sk2 @ ( sk1 @ is_aligned ) )
| ~ ( sk1 @ organization ) ),
inference(pattern_uni,[status(thm)],[65:[bind(A,$thf( sk1 )),bind(B,$thf( sk2 )),bind(C,$thf( sk3 ))]]) ).
thf(186,plain,
! [C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ dissimilar ) ) )
!= ( sk3 @ ( sk2 @ ( sk1 @ dissimilar ) ) ) )
| ~ $true
| ( sk3 @ ( sk1 @ is_aligned ) )
| ~ ( sk2 @ ( sk1 @ is_aligned ) )
| ~ ( sk1 @ organization )
| ( C @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
inference(paramod_ordered,[status(thm)],[21,66]) ).
thf(187,plain,
! [C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( A @ dissimilar ) ) )
!= ( sk3 @ ( sk2 @ ( sk1 @ dissimilar ) ) ) )
| ( sk3 @ ( sk1 @ is_aligned ) )
| ~ ( sk2 @ ( sk1 @ is_aligned ) )
| ~ ( sk1 @ organization )
| ( C @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( A @ organization ) ),
inference(simp,[status(thm)],[186]) ).
thf(188,plain,
( ( sk3 @ ( sk1 @ is_aligned ) )
| ~ ( sk2 @ ( sk1 @ is_aligned ) )
| ~ ( sk1 @ organization )
| ( sk3 @ ( sk1 @ is_aligned ) )
| ~ ( sk2 @ ( sk1 @ is_aligned ) )
| ~ ( sk1 @ organization ) ),
inference(pattern_uni,[status(thm)],[187:[bind(A,$thf( sk1 )),bind(B,$thf( sk2 )),bind(C,$thf( sk3 ))]]) ).
thf(190,plain,
( ( sk3 @ ( sk1 @ is_aligned ) )
| ~ ( sk2 @ ( sk1 @ is_aligned ) )
| ~ ( sk1 @ organization ) ),
inference(simp,[status(thm)],[188]) ).
thf(292,plain,
( ( sk3 @ ( sk1 @ is_aligned ) )
| ~ ( sk2 @ ( sk1 @ is_aligned ) )
| ~ $true ),
inference(rewrite,[status(thm)],[190,248]) ).
thf(293,plain,
( ( sk3 @ ( sk1 @ is_aligned ) )
| ~ ( sk2 @ ( sk1 @ is_aligned ) ) ),
inference(simp,[status(thm)],[292]) ).
thf(9,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_31) ).
thf(26,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(27,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) ) ),
inference(cnf,[status(esa)],[26]) ).
thf(302,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk3 @ ( sk1 @ is_aligned ) )
!= ( C @ ( A @ is_aligned ) ) )
| ~ $true
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) )
| ~ ( sk2 @ ( sk1 @ is_aligned ) ) ),
inference(paramod_ordered,[status(thm)],[293,27]) ).
thf(303,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk3 @ ( sk1 @ is_aligned ) )
!= ( C @ ( A @ is_aligned ) ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ ( C @ ( B @ ( A @ dissimilar ) ) )
| ~ ( sk2 @ ( sk1 @ is_aligned ) ) ),
inference(simp,[status(thm)],[302]) ).
thf(304,plain,
! [A: $i] :
( ~ ( A @ ( sk1 @ is_aligned ) )
| ~ ( sk3 @ ( A @ ( sk1 @ dissimilar ) ) )
| ~ ( sk2 @ ( sk1 @ is_aligned ) ) ),
inference(pattern_uni,[status(thm)],[303:[bind(A,$thf( sk1 )),bind(B,$thf( B )),bind(C,$thf( sk3 ))]]) ).
thf(315,plain,
! [A: $i] :
( ~ ( A @ ( sk1 @ is_aligned ) )
| ~ ( sk3 @ ( A @ ( sk1 @ dissimilar ) ) )
| ~ ( sk2 @ ( sk1 @ is_aligned ) ) ),
inference(simp,[status(thm)],[304]) ).
thf(377,plain,
! [A: $i] :
( ~ ( A @ ( sk1 @ is_aligned ) )
| ~ ( sk3 @ ( A @ ( sk1 @ dissimilar ) ) )
| ~ $true ),
inference(rewrite,[status(thm)],[315,372]) ).
thf(378,plain,
! [A: $i] :
( ~ ( A @ ( sk1 @ is_aligned ) )
| ~ ( sk3 @ ( A @ ( sk1 @ dissimilar ) ) ) ),
inference(simp,[status(thm)],[377]) ).
thf(421,plain,
! [A: $i] :
( ( ( sk2 @ ( sk1 @ is_aligned ) )
!= ( A @ ( sk1 @ is_aligned ) ) )
| ~ $true
| ~ ( sk3 @ ( A @ ( sk1 @ dissimilar ) ) ) ),
inference(paramod_ordered,[status(thm)],[372,378]) ).
thf(422,plain,
! [A: $i] :
( ( ( sk2 @ ( sk1 @ is_aligned ) )
!= ( A @ ( sk1 @ is_aligned ) ) )
| ~ ( sk3 @ ( A @ ( sk1 @ dissimilar ) ) ) ),
inference(simp,[status(thm)],[421]) ).
thf(423,plain,
~ ( sk3 @ ( sk2 @ ( sk1 @ dissimilar ) ) ),
inference(pattern_uni,[status(thm)],[422:[bind(A,$thf( sk2 ))]]) ).
thf(438,plain,
( ( sk2 @ ( sk3 @ ( sk1 @ dissimilar ) ) )
| $false ),
inference(rewrite,[status(thm)],[16,423]) ).
thf(439,plain,
sk2 @ ( sk3 @ ( sk1 @ dissimilar ) ),
inference(simp,[status(thm)],[438]) ).
thf(462,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk2 @ ( sk3 @ ( sk1 @ dissimilar ) ) )
!= ( C @ ( B @ ( A @ dissimilar ) ) ) )
| ~ ( C @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[439,27]) ).
thf(463,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk2 @ ( sk3 @ ( sk1 @ dissimilar ) ) )
!= ( C @ ( B @ ( A @ dissimilar ) ) ) )
| ~ ( C @ ( A @ is_aligned ) )
| ~ ( B @ ( A @ is_aligned ) ) ),
inference(simp,[status(thm)],[462]) ).
thf(464,plain,
( ~ ( sk2 @ ( sk1 @ is_aligned ) )
| ~ ( sk3 @ ( sk1 @ is_aligned ) ) ),
inference(pattern_uni,[status(thm)],[463:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 )),bind(C,$thf( sk2 ))]]) ).
thf(375,plain,
( ( sk3 @ ( sk1 @ is_aligned ) )
| ~ $true ),
inference(rewrite,[status(thm)],[293,372]) ).
thf(376,plain,
sk3 @ ( sk1 @ is_aligned ),
inference(simp,[status(thm)],[375]) ).
thf(478,plain,
( ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[464,372,376]) ).
thf(479,plain,
$false,
inference(simp,[status(thm)],[478]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT053-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.15/0.39 % Computer : n017.cluster.edu
% 0.15/0.39 % Model : x86_64 x86_64
% 0.15/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39 % Memory : 8046.5625MB
% 0.15/0.39 % OS : Linux 6.8.0-71-generic
% 0.15/0.39 % CPULimit : 300
% 0.15/0.39 % WCLimit : 300
% 0.15/0.39 % DateTime : Sat Sep 26 00:05:33 UTC 2026
% 0.15/0.40 % CPUTime :
% 0.15/0.40 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.83/0.97 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.18/1.17 % [INFO] Parsing done (191ms).
% 1.18/1.18 % [INFO] Running in sequential loop mode.
% 1.83/1.58 % [INFO] eprover registered as external prover.
% 1.83/1.59 % [INFO] Scanning for conjecture ...
% 2.02/1.68 % [INFO] Found a conjecture (or negated_conjecture) and 18 axioms. Running axiom selection ...
% 2.16/1.73 % [INFO] Axiom selection finished. Selected 7 axioms (removed 11 axioms).
% 2.16/1.75 % [INFO] Problem is propositional (TPTP CNF).
% 2.16/1.75 % [INFO] Type checking passed.
% 2.16/1.75 % [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 ...
% 6.83/3.22 % [INFO] Killing All external provers ...
% 6.83/3.23 % Time passed: 2684ms (effective reasoning time: 2035ms)
% 6.83/3.23 % Axioms used in derivation (5): definition_2_34, definition_2_33, definition_2_30, definition_2_29, definition_2_31
% 6.83/3.23 % No. of inferences in proof: 74
% 6.83/3.23 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2684 ms resp. 2035 ms w/o parsing
% 6.83/3.28 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.83/3.28 % [INFO] Killing All external provers ...
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