%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN080+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 : Tue Sep 29 01:47:02 PM UTC 2026
% Result : Theorem 0.09s 0.24s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 7 unt; 0 def)
% Number of atoms : 7 ( 6 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 6 ( 4 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,conjecture,
f(f(X)) = f(g(Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel58) ).
fof(c2,negated_conjecture,
~ ! [X2,Y2] : f(f(X2)) = f(g(Y2)),
inference(negate_conjecture,[status(cth)],[c1]) ).
cnf(c3,plain,
f(f(x)) != f(g(y)),
inference(clausify,[status(esa)],[c2]) ).
cnf(c4,axiom,
f(X2) = g(Y2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel58_1) ).
cnf(c5,plain,
f(x) = g(y),
inference(substitution,[status(thm)],[c4]) ).
cnf(c6,plain,
f(f(x)) = f(g(y)),
inference(congruence,[status(thm)],[c5]) ).
cnf(c7,plain,
$false,
inference(resolution,[status(thm)],[c3,c6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN080+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.18 % Computer : n017.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 15:28:06 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.24 Command-line arguments: --no-flatten-goal
% 0.09/0.24
% 0.09/0.24 % SZS status Theorem
% 0.09/0.24
% 0.09/0.24 % SZS output start CNFRefutation
% See solution above
% 0.09/0.24
% 0.09/0.24 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------