%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN064-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n002.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 03:33:40 PM UTC 2026
% Result : Unsatisfiable 3.74s 6.37s
% Output : Proof 3.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 13 unt; 0 def)
% Number of atoms : 13 ( 4 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 22 ( 8 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f0,negated_conjecture,
big_p(X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f0_nnf,plain,
! [X,Y] : big_p(X,Y),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Y] : big_p(X,Y),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
big_p(X0,X1),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(t0,plain,
big_p(X1,X2) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t1,plain,
big_p(X1,X2) = true,
inference(orient,[status(thm)],[t0]) ).
cnf(f1,negated_conjecture,
~ big_p(f(X,Y),g(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f1_nnf,plain,
! [X,Y] : ~ big_p(f(X,Y),g(X,Y)),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,Y] : ~ big_p(f(X,Y),g(X,Y)),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
~ big_p(f(X0,X1),g(X0,X1)),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(goal_0,negated_conjecture,
big_p(f(X1,X2),g(X1,X2)) != true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t1]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN064-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/5.79 % Computer : n002.cluster.edu
% 0.10/5.79 % Model : x86_64 x86_64
% 0.10/5.79 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.79 % Memory : 8046.5625MB
% 0.10/5.79 % OS : Linux 6.8.0-71-generic
% 0.10/5.79 % CPULimit : 300
% 0.10/5.79 % WCLimit : 300
% 0.10/5.79 % DateTime : Fri Sep 25 00:04:42 UTC 2026
% 0.14/5.80 % CPUTime :
% 0.14/5.80 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.74/6.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.74/6.37 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------