%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : SYN116-10 : TPTP v9.0.0. Released v7.5.0.
% 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 08:34:45 AM UTC 2025
% Result : Unsatisfiable 61.12s 61.36s
% Output : CNFRefutation 61.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of clauses : 27 ( 27 unt; 0 nHn; 11 RR)
% Number of literals : 27 ( 26 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 4 con; 0-4 aty)
% Number of variables : 32 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
k5(b) != true,
file('theBenchmark.p',prove_this) ).
cnf(c5,axiom,
l0(a) = true,
file('theBenchmark.p',axiom_20) ).
cnf(c24,axiom,
n0(b,a) = true,
file('theBenchmark.p',axiom_37) ).
cnf(c25,axiom,
m0(X,d,Y) = true,
file('theBenchmark.p',axiom_19) ).
cnf(c33,axiom,
ifeq(X,X,Y,Z) = Y,
file('theBenchmark.p',ifeq_axiom) ).
cnf(c56,axiom,
ifeq(p1(X,Y,Z),true,n2(Z),true) = true,
file('theBenchmark.p',rule_137) ).
cnf(c96,axiom,
ifeq(n0(X,Y),true,l1(Y,Y),true) = true,
file('theBenchmark.p',rule_002) ).
cnf(c98,plain,
l1(a,a) = true,
inference(equational,[status(thm)],[c24,c33,c96]) ).
cnf(c105,axiom,
ifeq(n2(X),true,p3(X,X,X),true) = true,
file('theBenchmark.p',rule_244) ).
cnf(c122,axiom,
ifeq(l0(a),true,p1(a,a,a),true) = true,
file('theBenchmark.p',rule_088) ).
cnf(c123,plain,
p1(a,a,a) = true,
inference(equational,[status(thm)],[c5,c33,c122]) ).
cnf(c124,plain,
n2(a) = true,
inference(equational,[status(thm)],[c33,c56,c123]) ).
cnf(c125,plain,
p3(a,a,a) = true,
inference(equational,[status(thm)],[c33,c105,c124]) ).
cnf(c222,axiom,
ifeq(m1(X,Y,X),true,p2(Y,X,Y),true) = true,
file('theBenchmark.p',rule_176) ).
cnf(c239,axiom,
ifeq(m0(X,X,Y),true,m1(Y,Y,Y),true) = true,
file('theBenchmark.p',rule_006) ).
cnf(c240,plain,
m1(X,X,X) = true,
inference(equational,[status(thm)],[c25,c33,c239]) ).
cnf(c241,plain,
p2(X,X,X) = true,
inference(equational,[status(thm)],[c33,c222,c240]) ).
cnf(c264,axiom,
ifeq(p2(X,Y,Z),true,r3(X,Z,X),true) = true,
file('theBenchmark.p',rule_267) ).
cnf(c265,plain,
r3(X,X,X) = true,
inference(equational,[status(thm)],[c33,c241,c264]) ).
cnf(c351,axiom,
ifeq(s4(X),true,ifeq(r3(Y,Z,Z),true,k5(Z),true),true) = true,
file('theBenchmark.p',rule_300) ).
cnf(c352,plain,
ifeq(s4(X),true,k5(Y),true) = true,
inference(equational,[status(thm)],[c33,c265,c351]) ).
cnf(c376,axiom,
ifeq(p3(X,Y,Z),true,ifeq(l1(W,Y),true,s4(W),true),true) = true,
file('theBenchmark.p',rule_299) ).
cnf(c377,plain,
ifeq(l1(X,a),true,s4(X),true) = true,
inference(equational,[status(thm)],[c33,c125,c376]) ).
cnf(c378,plain,
s4(a) = true,
inference(equational,[status(thm)],[c33,c98,c377]) ).
cnf(c379,plain,
k5(X) = true,
inference(equational,[status(thm)],[c33,c352,c378]) ).
cnf(g1,plain,
k5(b) = true,
inference(equational,[status(thm)],[c379]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN116-10 : TPTP v9.0.0. Released v7.5.0.
% 0.07/0.12 % Command : run_Leo-III %s %d THM
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 14 22:05:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 61.12/61.36 % SZS status Unsatisfiable
% 61.12/61.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------