%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : MGT052+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 0.09s 0.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 6 |; 1 &)
% ( 2 <=>; 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 : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 15 ( 0 sgn 7 !; 2 ?)
% 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(background_assumption_1,conjecture,
! [X,T] : ~ dissimilar(X,T,T),
file('theBenchmark.p',background_assumption_1) ).
fof(background_assumption_1_neg,negated_conjecture,
~ ! [X,T] : ~ dissimilar(X,T,T),
inference(assume_negation,[status(cth)],[background_assumption_1]) ).
cnf(c_18,plain,
( ~ is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ dissimilar(A,B,C) ),
inference(clausify,[status(thm)],[definition_2]) ).
fof(nnf_8,plain,
? [X,T] : dissimilar(X,T,T),
inference(fof_nnf,[status(thm)],[background_assumption_1_neg]) ).
fof(sk_background_assumption_1_neg,plain,
dissimilar(sK0,sK1,sK1),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X,sK0),skolemize(T,sK1)],[nnf_8]) ).
cnf(c_21,negated_conjecture,
dissimilar(sK0,sK1,sK1),
inference(split_conjunct,[status(thm)],[sk_background_assumption_1_neg]) ).
cnf(c_22,plain,
( is_aligned(A,C)
| is_aligned(A,B)
| ~ dissimilar(A,B,C) ),
inference(clausify,[status(thm)],[definition_2]) ).
cnf(c_27,negated_conjecture,
( ~ is_aligned(sK0,sK1)
| ~ is_aligned(sK0,sK1) ),
inference(resolve,[status(thm)],[c_18,c_21]) ).
cnf(c_28,negated_conjecture,
~ is_aligned(sK0,sK1),
inference(copy,[status(thm)],[c_27]) ).
cnf(c_29,negated_conjecture,
( is_aligned(sK0,sK1)
| is_aligned(sK0,sK1) ),
inference(resolve,[status(thm)],[c_22,c_21]) ).
cnf(c_31,negated_conjecture,
is_aligned(sK0,sK1),
inference(copy,[status(thm)],[c_29]) ).
cnf(c_30,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_28,c_31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT052+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n001.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 00:15:27 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.38 % Process 399494 was started by sandbox2 on n001,
% 0.09/0.38 % Sat Sep 26 00:15:27 2026
% 0.09/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/0.38
% 0.09/0.38 % From the command line: assign(max_seconds, 300).
% 0.09/0.39
% 0.09/0.39 % SZS status Theorem for theBenchmark
% 0.09/0.39
% 0.09/0.39 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.09/0.39 % Length of proof is 9.
% 0.09/0.39 % Level of proof is 4.
% 0.09/0.39 % Maximum clause weight is 3.000.
% 0.09/0.39 % Given clauses 0.
% 0.09/0.39
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------