%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT053+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 : Tue Sep 8 06:11:29 AM UTC 2026
% Result : Theorem 0.13s 0.45s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 40 ( 1 unt; 0 def)
% Number of atoms : 104 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 118 ( 54 ~; 59 |; 1 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 30 ( 4 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(lemma_7,plain,
! [X,T1,T2] :
( dissimilar(X,T1,T2)
<=> dissimilar(X,T2,T1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_7) ).
fof(lemma_7_negated,plain,
~ ! [X,T1,T2] :
( dissimilar(X,T1,T2)
<=> dissimilar(X,T2,T1) ),
inference(negate_conjecture,[status(cth)],[lemma_7]) ).
cnf(18,plain,
( dissimilar(sK1,sK2,sK3)
| dissimilar(sK1,sK3,sK2) ),
inference(cnf,[status(esa)],[lemma_7_negated]) ).
cnf(l0,plain,
( dissimilar(sK1,sK2,sK3)
| dissimilar(sK1,sK3,sK2) ),
inference(instantiation,[status(thm)],[18]) ).
fof(definition_2,plain,
! [X,T0,T] :
( dissimilar(X,T0,T)
<=> ( organization(X)
& ~ ( is_aligned(X,T0)
<=> is_aligned(X,T) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2) ).
cnf(13,plain,
( ~ dissimilar(X0,X1,X2)
| ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2) ),
inference(cnf,[status(esa)],[definition_2]) ).
cnf(l1,plain,
( ~ dissimilar(sK1,sK2,sK3)
| ~ is_aligned(sK1,sK2)
| ~ is_aligned(sK1,sK3) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(16,plain,
( is_aligned(X0,X1)
| ~ sP0(X1,X0,X2) ),
inference(cnf,[status(esa)],[definition_2]) ).
cnf(l51,plain,
( is_aligned(sK1,sK3)
| ~ sP0(sK3,sK1,sK2) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l2,plain,
( ~ dissimilar(sK1,sK3,sK2)
| ~ is_aligned(sK1,sK3)
| ~ is_aligned(sK1,sK2) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(15,plain,
( ~ is_aligned(X0,X1)
| ~ organization(X0)
| sP0(X2,X0,X1)
| dissimilar(X0,X2,X1) ),
inference(cnf,[status(esa)],[definition_2]) ).
cnf(l54,plain,
( ~ is_aligned(sK1,sK2)
| ~ organization(sK1)
| sP0(sK3,sK1,sK2)
| dissimilar(sK1,sK3,sK2) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(12,plain,
( ~ dissimilar(X0,X1,X2)
| is_aligned(X0,X1)
| is_aligned(X0,X2) ),
inference(cnf,[status(esa)],[definition_2]) ).
cnf(l9,plain,
( ~ dissimilar(sK1,sK3,sK2)
| is_aligned(sK1,sK3)
| is_aligned(sK1,sK2) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l62,plain,
( ~ dissimilar(sK1,sK2,sK3)
| is_aligned(sK1,sK2)
| is_aligned(sK1,sK3) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(17,plain,
( is_aligned(X0,X1)
| ~ sP0(X2,X0,X1) ),
inference(cnf,[status(esa)],[definition_2]) ).
cnf(l3,plain,
( is_aligned(sK1,sK2)
| ~ sP0(sK3,sK1,sK2) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(14,plain,
( ~ is_aligned(X0,X1)
| ~ organization(X0)
| sP0(X1,X0,X2)
| dissimilar(X0,X1,X2) ),
inference(cnf,[status(esa)],[definition_2]) ).
cnf(l41,plain,
( ~ is_aligned(sK1,sK3)
| ~ organization(sK1)
| sP0(sK3,sK1,sK2)
| dissimilar(sK1,sK3,sK2) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(11,plain,
( ~ dissimilar(X0,X1,X2)
| organization(X0) ),
inference(cnf,[status(esa)],[definition_2]) ).
cnf(l63,plain,
( ~ dissimilar(sK1,sK2,sK3)
| organization(sK1) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l42,plain,
( ~ dissimilar(sK1,sK2,sK3)
| is_aligned(sK1,sK2)
| is_aligned(sK1,sK3) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l10,plain,
( ~ is_aligned(sK1,sK2)
| ~ organization(sK1)
| sP0(sK2,sK1,sK3)
| dissimilar(sK1,sK2,sK3) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l61,plain,
( is_aligned(sK1,sK3)
| ~ sP0(sK2,sK1,sK3) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(19,plain,
( ~ dissimilar(sK1,sK2,sK3)
| ~ dissimilar(sK1,sK3,sK2) ),
inference(cnf,[status(esa)],[lemma_7_negated]) ).
cnf(l95,plain,
( ~ dissimilar(sK1,sK2,sK3)
| ~ dissimilar(sK1,sK3,sK2) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l93,plain,
( ~ dissimilar(sK1,sK2,sK3)
| ~ dissimilar(sK1,sK3,sK2) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l4,plain,
( ~ dissimilar(sK1,sK2,sK3)
| is_aligned(sK1,sK2)
| is_aligned(sK1,sK3) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l44,plain,
( ~ dissimilar(sK1,sK2,sK3)
| organization(sK1) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l12,plain,
( ~ is_aligned(sK1,sK3)
| ~ organization(sK1)
| sP0(sK2,sK1,sK3)
| dissimilar(sK1,sK2,sK3) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l97,plain,
( ~ dissimilar(sK1,sK3,sK2)
| organization(sK1) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l43,plain,
( is_aligned(sK1,sK2)
| ~ sP0(sK2,sK1,sK3) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l39,plain,
( ~ dissimilar(sK1,sK3,sK2)
| organization(sK1) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l60,plain,
( ~ dissimilar(sK1,sK2,sK3)
| ~ dissimilar(sK1,sK3,sK2) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l47,plain,
( ~ dissimilar(sK1,sK3,sK2)
| is_aligned(sK1,sK3)
| is_aligned(sK1,sK2) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l26,plain,
( ~ is_aligned(sK1,sK3)
| ~ organization(sK1)
| sP0(sK2,sK1,sK3)
| dissimilar(sK1,sK2,sK3) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l100,plain,
( is_aligned(sK1,sK2)
| ~ sP0(sK2,sK1,sK3) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l101,plain,
( ~ dissimilar(sK1,sK3,sK2)
| organization(sK1) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l102,plain,
( ~ dissimilar(sK1,sK2,sK3)
| ~ dissimilar(sK1,sK3,sK2) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l51,l2,l54,l9,l62,l3,l41,l63,l42,l10,l61,l95,l93,l4,l44,l12,l97,l43,l39,l60,l47,l26,l100,l101,l102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT053+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n013.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 7 13:23:05 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % launching worker at depth: 1
% 0.08/0.36 % launching worker at depth: 5
% 0.08/0.36 % launching worker at depth: 6
% 0.08/0.36 % launching worker at depth: 3
% 0.08/0.36 % launching worker at depth: 4
% 0.08/0.36 % launching worker at depth: 2
% 0.08/0.36 % launching worker at depth: 7
% 0.08/0.36 % launching worker at depth: 8
% 0.13/0.36 % launching worker at depth: 9
% 0.13/0.36 % launching worker at depth: 10
% 0.13/0.39 % launching worker at depth: 11
% 0.13/0.45 % SZS status Theorem for theBenchmark
% 0.13/0.45 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------