%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : GRP687-1 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n007.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 06:44:43 AM UTC 2025
% Result : Unsatisfiable 60.29s 60.58s
% Output : CNFRefutation 60.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of clauses : 21 ( 21 unt; 0 nHn; 3 RR)
% Number of literals : 21 ( 20 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
mult(a,mult(b,mult(b,c))) != mult(mult(a,mult(b,b)),c),
file('theBenchmark.p',goals) ).
cnf(c1,axiom,
mult(X,unit) = X,
file('theBenchmark.p',c05) ).
cnf(c7,axiom,
mult(X,ld(X,Y)) = Y,
file('theBenchmark.p',c01) ).
cnf(c9,axiom,
ld(X,mult(X,Y)) = Y,
file('theBenchmark.p',c02) ).
cnf(c13,axiom,
mult(mult(X,X),mult(Y,Z)) = mult(mult(X,mult(X,Y)),Z),
file('theBenchmark.p',c07) ).
cnf(c14,plain,
mult(mult(X,mult(X,Y)),Z) = mult(mult(X,X),mult(Y,Z)),
inference(equational,[status(thm)],[c13]) ).
cnf(c15,plain,
mult(mult(X,X),Y) = mult(X,mult(X,Y)),
inference(equational,[status(thm)],[c1,c14]) ).
cnf(c25,plain,
mult(X,mult(X,mult(ld(X,Y),Z))) = mult(mult(X,Y),Z),
inference(equational,[status(thm)],[c7,c14,c15]) ).
cnf(c26,plain,
mult(X,mult(ld(X,Y),Z)) = ld(X,mult(mult(X,Y),Z)),
inference(equational,[status(thm)],[c9,c25]) ).
cnf(c28,plain,
mult(mult(X,Y),ld(ld(X,Y),Z)) = mult(X,mult(X,Z)),
inference(equational,[status(thm)],[c7,c25]) ).
cnf(c29,plain,
mult(X,ld(ld(X,unit),Y)) = mult(X,mult(X,Y)),
inference(equational,[status(thm)],[c1,c28]) ).
cnf(c30,plain,
ld(ld(X,unit),Y) = mult(X,Y),
inference(equational,[status(thm)],[c9,c29]) ).
cnf(c50,plain,
ld(mult(X,Y),mult(X,mult(X,Z))) = ld(ld(X,Y),Z),
inference(equational,[status(thm)],[c9,c28]) ).
cnf(c52,plain,
ld(ld(X,ld(X,Y)),Z) = ld(Y,mult(X,mult(X,Z))),
inference(equational,[status(thm)],[c7,c50]) ).
cnf(c55,plain,
mult(ld(X,ld(X,Y)),Z) = ld(ld(Y,mult(X,X)),Z),
inference(equational,[status(thm)],[c1,c30,c52]) ).
cnf(c57,plain,
ld(X,ld(X,mult(mult(X,Y),Z))) = mult(ld(X,Y),Z),
inference(equational,[status(thm)],[c9,c26]) ).
cnf(c58,plain,
ld(ld(X,mult(Y,Y)),Z) = ld(Y,ld(Y,mult(X,Z))),
inference(equational,[status(thm)],[c7,c55,c57]) ).
cnf(c60,plain,
mult(ld(X,mult(Y,Y)),Z) = ld(X,mult(Y,mult(Y,Z))),
inference(equational,[status(thm)],[c1,c30,c52,c58]) ).
cnf(c70,plain,
mult(mult(X,mult(Y,Y)),Z) = mult(X,mult(Y,mult(Y,Z))),
inference(equational,[status(thm)],[c30,c60]) ).
cnf(g1,plain,
mult(a,mult(b,mult(b,c))) = mult(mult(a,mult(b,b)),c),
inference(equational,[status(thm)],[c70]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP687-1 : TPTP v9.0.0. Released v4.0.0.
% 0.11/0.12 % Command : run_Leo-III %s %d THM
% 0.11/0.32 % Computer : n007.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Jul 14 08:52:49 EDT 2025
% 0.11/0.32 % CPUTime :
% 60.29/60.58 % SZS status Unsatisfiable
% 60.29/60.58 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------