%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN014-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n008.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 03:33:20 PM UTC 2026
% Result : Unsatisfiable 6.70s 1.44s
% Output : Proof 6.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 13 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 17 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 21 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f1,axiom,
( equalish(Y,X)
| ~ equalish(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetryish) ).
fof(f1_nnf,plain,
! [X,Y] :
( equalish(Y,X)
| ~ equalish(X,Y) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,Y] :
( equalish(Y,X)
| ~ equalish(X,Y) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( equalish(X1,X0)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(f22,negated_conjecture,
equalish(n,k),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_20) ).
fof(f22_nnf,plain,
equalish(n,k),
inference(nnf_transformation,[status(thm)],[f22]) ).
cnf(c22,plain,
equalish(n,k),
inference(cnf_transformation,[status(esa)],[f22_nnf]) ).
cnf(p29,plain,
equalish(k,n),
inference(resolution,[status(thm)],[c1,c22]) ).
cnf(f2,axiom,
( equalish(X,Z)
| ~ equalish(Y,Z)
| ~ equalish(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivityish) ).
fof(f2_nnf,plain,
! [X,Y,Z] :
( equalish(X,Z)
| ~ equalish(Y,Z)
| ~ equalish(X,Y) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y,Z] :
( equalish(X,Z)
| ~ equalish(Y,Z)
| ~ equalish(X,Y) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( equalish(X0,X2)
| ~ equalish(X1,X2)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(f25,negated_conjecture,
equalish(m,k),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_23) ).
fof(f25_nnf,plain,
equalish(m,k),
inference(nnf_transformation,[status(thm)],[f25]) ).
cnf(c25,plain,
equalish(m,k),
inference(cnf_transformation,[status(esa)],[f25_nnf]) ).
cnf(p32,plain,
( equalish(m,X0)
| ~ equalish(k,X0) ),
inference(resolution,[status(thm)],[c2,c25]) ).
cnf(p39,plain,
equalish(m,n),
inference(resolution,[status(thm)],[p29,p32]) ).
cnf(f21,negated_conjecture,
~ equalish(m,n),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_19) ).
fof(f21_nnf,plain,
~ equalish(m,n),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
~ equalish(m,n),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
~ equalish(m,n),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(p46,plain,
$false,
inference(resolution,[status(thm)],[p39,c21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN014-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.07/0.34 % Computer : n008.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Thu Sep 24 23:51:54 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.70/1.44 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.70/1.44 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------