%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : SYN083-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n003.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 : Tue Jul 15 08:34:43 AM UTC 2025
% Result : Unsatisfiable 0.20s 0.44s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 3 RR)
% Number of literals : 5 ( 4 equ; 1 neg)
% Maximal clause size : 1 ( 1 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 : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
f(a,f(b,f(c,d))) != f(f(f(a,b),c),d),
file('theBenchmark.p',prove_this) ).
cnf(c1,axiom,
f(X,f(Y,Z)) = f(f(X,Y),Z),
file('theBenchmark.p',f_is_associative) ).
cnf(c2,plain,
f(f(X,Y),Z) = f(X,f(Y,Z)),
inference(equational,[status(thm)],[c1]) ).
cnf(g1,plain,
f(a,f(b,f(c,d))) = f(f(f(a,b),c),d),
inference(equational,[status(thm)],[c2]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SYN083-1 : TPTP v9.0.0. Released v1.0.0.
% 0.08/0.12 % Command : run_Leo-III %s %d THM
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 14 22:04:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.20/0.44 % SZS status Unsatisfiable
% 0.20/0.44 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------