%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : MGT053+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 08:02:59 AM UTC 2026
% Result : Theorem 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 2
% Syntax : Number of formulae : 44 ( 5 unt; 0 def)
% Number of atoms : 120 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 110 ( 34 ~; 69 |; 3 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 50 ( 6 sgn 9 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(definition_2,axiom,
! [X,T0,T] :
( dissimilar(X,T0,T)
<=> ( ~ ( is_aligned(X,T0)
<=> is_aligned(X,T) )
& organization(X) ) ),
file('theBenchmark.p',definition_2) ).
fof(lemma_7,conjecture,
! [X,T1,T2] :
( dissimilar(X,T1,T2)
<=> dissimilar(X,T2,T1) ),
file('theBenchmark.p',lemma_7) ).
fof(lemma_7_neg,negated_conjecture,
~ ! [X,T1,T2] :
( dissimilar(X,T1,T2)
<=> dissimilar(X,T2,T1) ),
inference(assume_negation,[status(cth)],[lemma_7]) ).
cnf(c_18,plain,
( organization(A)
| ~ dissimilar(A,B,C) ),
inference(clausify,[status(thm)],[definition_2]) ).
cnf(c_19,plain,
( is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ organization(A)
| dissimilar(A,B,C) ),
inference(clausify,[status(thm)],[definition_2]) ).
cnf(c_20,plain,
( ~ is_aligned(A,C)
| is_aligned(A,B)
| ~ organization(A)
| dissimilar(A,B,C) ),
inference(clausify,[status(thm)],[definition_2]) ).
cnf(c_21,plain,
( ~ is_aligned(A,E)
| is_aligned(A,D)
| dissimilar(A,D,E)
| ~ dissimilar(A,B,C) ),
inference(resolve,[status(thm)],[c_18,c_20]) ).
cnf(c_22,plain,
( is_aligned(A,E)
| ~ is_aligned(A,D)
| dissimilar(A,D,E)
| ~ dissimilar(A,B,C) ),
inference(resolve,[status(thm)],[c_18,c_19]) ).
cnf(c_26,plain,
( is_aligned(A,C)
| is_aligned(A,B)
| ~ dissimilar(A,B,C) ),
inference(clausify,[status(thm)],[definition_2]) ).
cnf(c_27,plain,
( ~ is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ dissimilar(A,B,C) ),
inference(clausify,[status(thm)],[definition_2]) ).
fof(nnf_8,plain,
? [X,T1,T2] :
( ( ~ dissimilar(X,T2,T1)
| ~ dissimilar(X,T1,T2) )
& ( dissimilar(X,T2,T1)
| dissimilar(X,T1,T2) ) ),
inference(fof_nnf,[status(thm)],[lemma_7_neg]) ).
fof(sk_lemma_7_neg,plain,
( ( ~ dissimilar(sK0,sK2,sK1)
| ~ dissimilar(sK0,sK1,sK2) )
& ( dissimilar(sK0,sK2,sK1)
| dissimilar(sK0,sK1,sK2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X,sK0),skolemize(T1,sK1),skolemize(T2,sK2)],[nnf_8]) ).
cnf(c_28,negated_conjecture,
( dissimilar(sK0,sK2,sK1)
| dissimilar(sK0,sK1,sK2) ),
inference(split_conjunct,[status(thm)],[sk_lemma_7_neg]) ).
cnf(c_29,negated_conjecture,
( ~ dissimilar(sK0,sK2,sK1)
| ~ dissimilar(sK0,sK1,sK2) ),
inference(split_conjunct,[status(thm)],[sk_lemma_7_neg]) ).
cnf(c_41,plain,
( ~ is_aligned(sK0,sK1)
| ~ is_aligned(sK0,sK2)
| dissimilar(sK0,sK1,sK2) ),
inference(resolve,[status(thm)],[c_28,c_27]) ).
cnf(c_42,plain,
( is_aligned(sK0,sK1)
| is_aligned(sK0,sK2)
| dissimilar(sK0,sK1,sK2) ),
inference(resolve,[status(thm)],[c_28,c_26]) ).
cnf(c_43,plain,
( is_aligned(sK0,B)
| ~ is_aligned(sK0,A)
| dissimilar(sK0,A,B)
| dissimilar(sK0,sK1,sK2) ),
inference(resolve,[status(thm)],[c_28,c_22]) ).
cnf(c_45,plain,
( is_aligned(sK0,sK2)
| ~ is_aligned(sK0,sK1)
| dissimilar(sK0,sK1,sK2) ),
inference(factor,[status(thm)],[c_43]) ).
cnf(c_78,plain,
( is_aligned(sK0,sK2)
| is_aligned(sK0,sK1)
| is_aligned(sK0,sK1)
| is_aligned(sK0,sK2) ),
inference(resolve,[status(thm)],[c_42,c_26]) ).
cnf(c_79,plain,
( is_aligned(sK0,sK2)
| is_aligned(sK0,sK1)
| is_aligned(sK0,sK2) ),
inference(copy,[status(thm)],[c_78]) ).
cnf(c_47,plain,
( is_aligned(sK0,sK1)
| is_aligned(sK0,sK2) ),
inference(copy,[status(thm)],[c_79]) ).
cnf(c_80,negated_conjecture,
( dissimilar(sK0,sK1,sK2)
| ~ is_aligned(sK0,B)
| is_aligned(sK0,A)
| dissimilar(sK0,A,B) ),
inference(resolve,[status(thm)],[c_21,c_28]) ).
cnf(c_49,negated_conjecture,
( is_aligned(sK0,sK1)
| dissimilar(sK0,sK1,sK2)
| is_aligned(sK0,A)
| dissimilar(sK0,A,sK2) ),
inference(resolve,[status(thm)],[c_80,c_47]) ).
cnf(c_81,plain,
( is_aligned(sK0,sK1)
| is_aligned(sK0,sK1)
| dissimilar(sK0,sK1,sK2) ),
inference(factor,[status(thm)],[c_49]) ).
cnf(c_50,plain,
( is_aligned(sK0,sK1)
| dissimilar(sK0,sK1,sK2) ),
inference(copy,[status(thm)],[c_81]) ).
cnf(c_82,plain,
( is_aligned(sK0,sK1)
| is_aligned(sK0,B)
| ~ is_aligned(sK0,A)
| dissimilar(sK0,A,B) ),
inference(resolve,[status(thm)],[c_22,c_50]) ).
cnf(c_83,plain,
( is_aligned(sK0,sK1)
| is_aligned(sK0,sK1)
| is_aligned(sK0,A)
| dissimilar(sK0,sK2,A) ),
inference(resolve,[status(thm)],[c_82,c_47]) ).
cnf(c_53,plain,
( is_aligned(sK0,sK1)
| is_aligned(sK0,A)
| dissimilar(sK0,sK2,A) ),
inference(copy,[status(thm)],[c_83]) ).
cnf(c_57,plain,
( is_aligned(sK0,sK1)
| dissimilar(sK0,sK2,sK1) ),
inference(factor,[status(thm)],[c_53]) ).
cnf(c_84,negated_conjecture,
( is_aligned(sK0,sK1)
| ~ dissimilar(sK0,sK2,sK1) ),
inference(resolve,[status(thm)],[c_29,c_50]) ).
cnf(c_85,negated_conjecture,
( is_aligned(sK0,sK1)
| is_aligned(sK0,sK1) ),
inference(resolve,[status(thm)],[c_84,c_57]) ).
cnf(c_59,negated_conjecture,
is_aligned(sK0,sK1),
inference(copy,[status(thm)],[c_85]) ).
cnf(c_60,plain,
( is_aligned(sK0,sK2)
| dissimilar(sK0,sK1,sK2) ),
inference(resolve,[status(thm)],[c_59,c_45]) ).
cnf(c_61,plain,
( ~ is_aligned(sK0,sK2)
| dissimilar(sK0,sK1,sK2) ),
inference(resolve,[status(thm)],[c_59,c_41]) ).
cnf(c_86,plain,
( is_aligned(sK0,sK2)
| ~ is_aligned(sK0,B)
| is_aligned(sK0,A)
| dissimilar(sK0,A,B) ),
inference(resolve,[status(thm)],[c_21,c_60]) ).
cnf(c_68,plain,
( is_aligned(sK0,sK2)
| is_aligned(sK0,A)
| dissimilar(sK0,A,sK1) ),
inference(resolve,[status(thm)],[c_86,c_59]) ).
cnf(c_71,plain,
( is_aligned(sK0,sK2)
| dissimilar(sK0,sK2,sK1) ),
inference(factor,[status(thm)],[c_68]) ).
cnf(c_87,negated_conjecture,
( is_aligned(sK0,sK2)
| ~ dissimilar(sK0,sK2,sK1) ),
inference(resolve,[status(thm)],[c_29,c_60]) ).
cnf(c_88,negated_conjecture,
( is_aligned(sK0,sK2)
| is_aligned(sK0,sK2) ),
inference(resolve,[status(thm)],[c_87,c_71]) ).
cnf(c_73,negated_conjecture,
is_aligned(sK0,sK2),
inference(copy,[status(thm)],[c_88]) ).
cnf(c_74,plain,
dissimilar(sK0,sK1,sK2),
inference(resolve,[status(thm)],[c_73,c_61]) ).
cnf(c_89,plain,
( ~ is_aligned(sK0,A)
| ~ dissimilar(sK0,sK1,A) ),
inference(resolve,[status(thm)],[c_27,c_59]) ).
cnf(c_90,plain,
~ dissimilar(sK0,sK1,sK2),
inference(resolve,[status(thm)],[c_89,c_73]) ).
cnf(c_77,plain,
$false,
inference(resolve,[status(thm)],[c_74,c_90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT053+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n018.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 00:12:05 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.35 % Process 3182928 was started by sandbox on n018,
% 0.09/0.35 % Sat Sep 26 00:12:05 2026
% 0.09/0.35 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.36
% 0.09/0.36 % From the command line: assign(max_seconds, 300).
% 0.12/0.37
% 0.12/0.37 % SZS status Theorem for theBenchmark
% 0.12/0.37
% 0.12/0.37 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.12/0.37 % Length of proof is 28.
% 0.12/0.37 % Level of proof is 14.
% 0.12/0.37 % Maximum clause weight is 19.000.
% 0.12/0.37 % Given clauses 25.
% 0.12/0.37
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------