%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : SYN214-10 : TPTP v9.0.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n014.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 08:34:52 AM UTC 2025
% Result : Unsatisfiable 62.23s 62.41s
% Output : CNFRefutation 62.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of clauses : 35 ( 35 unt; 0 nHn; 6 RR)
% Number of literals : 35 ( 34 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 5 con; 0-4 aty)
% Number of variables : 55 ( 30 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
s5(c) != true,
file('theBenchmark.p',prove_this) ).
cnf(c8,axiom,
k0(b) = true,
file('theBenchmark.p',axiom_32) ).
cnf(c9,axiom,
p0(b,X) = true,
file('theBenchmark.p',axiom_14) ).
cnf(c11,axiom,
n0(a,b) = true,
file('theBenchmark.p',axiom_15) ).
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(c84,axiom,
ifeq(p2(X,Y,Z),true,n3(Z),true) = true,
file('theBenchmark.p',rule_240) ).
cnf(c104,axiom,
ifeq(p3(X,Y,Z),true,l4(Z),true) = true,
file('theBenchmark.p',rule_277) ).
cnf(c105,axiom,
ifeq(n2(X),true,p3(X,X,X),true) = true,
file('theBenchmark.p',rule_244) ).
cnf(c152,axiom,
ifeq(p0(X,Y),true,p1(Y,Y,Y),true) = true,
file('theBenchmark.p',rule_085) ).
cnf(c153,plain,
p1(X,X,X) = true,
inference(equational,[status(thm)],[c9,c33,c152]) ).
cnf(c154,plain,
n2(X) = true,
inference(equational,[status(thm)],[c33,c56,c153]) ).
cnf(c155,plain,
p3(X,X,X) = true,
inference(equational,[status(thm)],[c33,c105,c154]) ).
cnf(c156,plain,
l4(X) = true,
inference(equational,[status(thm)],[c33,c104,c155]) ).
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(c242,plain,
n3(X) = true,
inference(equational,[status(thm)],[c33,c84,c241]) ).
cnf(c297,axiom,
ifeq(r4(X),true,ifeq(l4(Y),true,s5(Y),true),true) = true,
file('theBenchmark.p',rule_329) ).
cnf(c298,plain,
ifeq(r4(X),true,s5(Y),true) = true,
inference(equational,[status(thm)],[c33,c156,c297]) ).
cnf(c525,axiom,
ifeq(q2(X,Y,Z),true,ifeq(n0(X,Y),true,q3(Y,Z),true),true) = true,
file('theBenchmark.p',rule_255) ).
cnf(c529,plain,
ifeq(q2(a,b,X),true,q3(b,X),true) = true,
inference(equational,[status(thm)],[c11,c33,c525]) ).
cnf(c543,axiom,
ifeq(p1(X,X,X),true,ifeq(k0(Y),true,q2(X,Y,Y),true),true) = true,
file('theBenchmark.p',rule_177) ).
cnf(c544,plain,
ifeq(k0(X),true,q2(Y,X,X),true) = true,
inference(equational,[status(thm)],[c33,c153,c543]) ).
cnf(c545,plain,
q2(X,b,b) = true,
inference(equational,[status(thm)],[c8,c33,c544]) ).
cnf(c546,plain,
q3(b,b) = true,
inference(equational,[status(thm)],[c33,c529,c545]) ).
cnf(c793,axiom,
ifeq(q3(X,Y),true,ifeq(n3(Z),true,ifeq(p0(W,Z),true,r4(Z),true),true),true) = true,
file('theBenchmark.p',rule_298) ).
cnf(c794,plain,
ifeq(q3(X,Y),true,ifeq(p0(Z,W),true,r4(W),true),true) = true,
inference(equational,[status(thm)],[c33,c242,c793]) ).
cnf(c795,plain,
ifeq(q3(X,Y),true,r4(Z),true) = true,
inference(equational,[status(thm)],[c9,c33,c794]) ).
cnf(c796,plain,
r4(X) = true,
inference(equational,[status(thm)],[c33,c546,c795]) ).
cnf(c797,plain,
s5(X) = true,
inference(equational,[status(thm)],[c33,c298,c796]) ).
cnf(g1,plain,
s5(c) = true,
inference(equational,[status(thm)],[c797]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN214-10 : TPTP v9.0.0. Released v7.5.0.
% 0.03/0.12 % Command : run_Leo-III %s %d THM
% 0.12/0.33 % Computer : n014.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 22:08:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 62.23/62.41 % SZS status Unsatisfiable
% 62.23/62.41 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------