%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN083+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 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 : Tue Sep 29 01:47:03 PM UTC 2026
% Result : Theorem 0.07s 0.24s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 8 unt; 0 def)
% Number of atoms : 8 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,conjecture,
f(X,f(Y,f(Z,W))) = f(f(f(X,Y),Z),W),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel61) ).
fof(c2,negated_conjecture,
~ ! [X2,Y2,Z2,W2] : f(X2,f(Y2,f(Z2,W2))) = f(f(f(X2,Y2),Z2),W2),
inference(negate_conjecture,[status(cth)],[c1]) ).
cnf(c3,plain,
f(x,f(y,f(z,w))) != f(f(f(x,y),z),w),
inference(clausify,[status(esa)],[c2]) ).
cnf(c4,axiom,
f(X2,f(Y2,Z2)) = f(f(X2,Y2),Z2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p61_1) ).
cnf(c5,plain,
f(x,f(y,f(z,w))) = f(f(x,y),f(z,w)),
inference(substitution,[status(thm)],[c4]) ).
cnf(c6,plain,
f(f(x,y),f(z,w)) = f(f(f(x,y),z),w),
inference(substitution,[status(thm)],[c4]) ).
cnf(c7,plain,
f(x,f(y,f(z,w))) = f(f(f(x,y),z),w),
inference(transitivity,[status(thm)],[c5,c6]) ).
cnf(c8,plain,
$false,
inference(resolution,[status(thm)],[c3,c7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN083+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n002.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 15:34:52 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.24 Command-line arguments: --no-flatten-goal
% 0.07/0.24
% 0.07/0.24 % SZS status Theorem
% 0.07/0.24
% 0.07/0.24 % SZS output start CNFRefutation
% See solution above
% 0.07/0.24
% 0.07/0.24 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------