%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT052-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n003.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 : Fri Sep 25 02:11:50 PM UTC 2026
% Result : Unsatisfiable 13.68s 2.25s
% Output : Proof 13.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 37 ( 19 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 24 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f13,axiom,
( ~ is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ dissimilar(A,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_31) ).
fof(f13_nnf,plain,
! [A,B,C] :
( ~ is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ dissimilar(A,B,C) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [A,B,C] :
( ~ is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ dissimilar(A,B,C) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(f18,negated_conjecture,
dissimilar(sk1,sk2,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background_assumption_1_36) ).
fof(f18_nnf,plain,
dissimilar(sk1,sk2,sk2),
inference(nnf_transformation,[status(thm)],[f18]) ).
cnf(c18,plain,
dissimilar(sk1,sk2,sk2),
inference(cnf_transformation,[status(esa)],[f18_nnf]) ).
cnf(p35,plain,
( ~ is_aligned(sk1,sk2)
| ~ is_aligned(sk1,sk2) ),
inference(resolution,[status(thm)],[c13,c18]) ).
cnf(p36,plain,
~ is_aligned(sk1,sk2),
inference(factoring,[status(thm)],[p35]) ).
cnf(f12,axiom,
( is_aligned(A,C)
| is_aligned(A,B)
| ~ dissimilar(A,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_30) ).
fof(f12_nnf,plain,
! [A,B,C] :
( is_aligned(A,C)
| is_aligned(A,B)
| ~ dissimilar(A,B,C) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [A,B,C] :
( is_aligned(A,C)
| is_aligned(A,B)
| ~ dissimilar(A,B,C) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
( is_aligned(X0,X2)
| is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p30,plain,
( is_aligned(sk1,sk2)
| is_aligned(sk1,sk2) ),
inference(resolution,[status(thm)],[c12,c18]) ).
cnf(p31,plain,
is_aligned(sk1,sk2),
inference(factoring,[status(thm)],[p30]) ).
cnf(p37,plain,
$false,
inference(resolution,[status(thm)],[p36,p31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT052-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n003.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 : Thu Sep 24 01:16:20 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 13.68/2.25 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.68/2.25 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------