%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN080+1 : TPTP v9.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 09:26:49 PM UTC 2025
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 10 ( 4 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel58,plain,
! [X,Y] : f(f(X)) = f(g(Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel58) ).
fof(pel58_negated,plain,
~ ! [X,Y] : f(f(X)) = f(g(Y)),
inference(negate_conjecture,[status(cth)],[pel58]) ).
cnf(1,plain,
f(f(sK1)) != f(g(sK2)),
inference(cnf,[status(esa)],[pel58_negated]) ).
cnf(l0,plain,
f(f(sK1)) != f(g(sK2)),
inference(instantiation,[status(thm)],[1]) ).
fof(pel58_1,plain,
! [X,Y] : f(X) = g(Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel58_1) ).
cnf(0,plain,
f(X0) = g(X1),
inference(cnf,[status(esa)],[pel58_1]) ).
cnf(l3,plain,
f(g(sK2)) = g(X1_5),
inference(instantiation,[status(thm)],[0]) ).
cnf(l5,plain,
f(f(sK1)) = g(X1_5),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN080+1 : TPTP v9.0.0. Released v2.0.0.
% 0.07/0.14 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Jul 22 15:34:19 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: % SZS status Theorem for theBenchmark
% 0.13/0.35 9% SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------