%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : LDA007-3 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n012.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 07:18:09 AM UTC 2025
% Result : Unsatisfiable 0.16s 0.44s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 10 RR)
% Number of literals : 12 ( 11 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
f(t,tsk) != f(tt_ts,tk),
file('theBenchmark.p',prove_equation) ).
cnf(c1,axiom,
tt = f(t,t),
file('theBenchmark.p',clause_1) ).
cnf(c2,axiom,
ts = f(t,s),
file('theBenchmark.p',clause_2) ).
cnf(c3,axiom,
tt_ts = f(tt,ts),
file('theBenchmark.p',clause_3) ).
cnf(c4,plain,
tt_ts = f(f(t,t),f(t,s)),
inference(equational,[status(thm)],[c1,c2,c3]) ).
cnf(c5,axiom,
tk = f(t,k),
file('theBenchmark.p',clause_4) ).
cnf(c6,axiom,
tsk = f(ts,k),
file('theBenchmark.p',clause_5) ).
cnf(c7,plain,
tsk = f(f(t,s),k),
inference(equational,[status(thm)],[c2,c6]) ).
cnf(c8,axiom,
f(X,f(Y,Z)) = f(f(X,Y),f(X,Z)),
file('theBenchmark.p',a1) ).
cnf(c9,plain,
f(f(X,Y),f(X,Z)) = f(X,f(Y,Z)),
inference(equational,[status(thm)],[c8]) ).
cnf(g1,plain,
f(t,tsk) = f(tt_ts,tk),
inference(equational,[status(thm)],[c4,c5,c7,c9]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : LDA007-3 : TPTP v9.0.0. Released v1.0.0.
% 0.05/0.10 % Command : run_Leo-III %s %d THM
% 0.09/0.30 % Computer : n012.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Jul 14 13:51:34 EDT 2025
% 0.09/0.30 % CPUTime :
% 0.16/0.44 % SZS status Unsatisfiable
% 0.16/0.44 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------