%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : SYN143-10 : TPTP v9.0.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n010.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 08:34:47 AM UTC 2025
% Result : Unsatisfiable 61.63s 61.81s
% Output : CNFRefutation 61.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 28
% Syntax : Number of clauses : 61 ( 61 unt; 0 nHn; 17 RR)
% Number of literals : 61 ( 60 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 : 27 ( 27 usr; 6 con; 0-4 aty)
% Number of variables : 83 ( 33 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
m5(d,d) != true,
file('theBenchmark.p',prove_this) ).
cnf(c2,axiom,
s0(b) = true,
file('theBenchmark.p',axiom_5) ).
cnf(c5,axiom,
l0(a) = true,
file('theBenchmark.p',axiom_20) ).
cnf(c8,axiom,
k0(b) = true,
file('theBenchmark.p',axiom_32) ).
cnf(c9,axiom,
p0(b,X) = true,
file('theBenchmark.p',axiom_14) ).
cnf(c10,axiom,
q0(X,d) = true,
file('theBenchmark.p',axiom_17) ).
cnf(c22,axiom,
n0(c,d) = true,
file('theBenchmark.p',axiom_34) ).
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(c42,axiom,
ifeq(p0(X,X),true,s1(X),true) = true,
file('theBenchmark.p',rule_125) ).
cnf(c43,plain,
s1(b) = true,
inference(equational,[status(thm)],[c9,c33,c42]) ).
cnf(c56,axiom,
ifeq(p1(X,Y,Z),true,n2(Z),true) = true,
file('theBenchmark.p',rule_137) ).
cnf(c69,axiom,
ifeq(k0(X),true,p1(X,X,X),true) = true,
file('theBenchmark.p',rule_068) ).
cnf(c70,plain,
p1(b,b,b) = true,
inference(equational,[status(thm)],[c8,c33,c69]) ).
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(c99,plain,
l1(d,d) = true,
inference(equational,[status(thm)],[c22,c33,c96]) ).
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(c224,axiom,
ifeq(p1(X,X,X),true,q2(X,X,X),true) = true,
file('theBenchmark.p',rule_181) ).
cnf(c225,plain,
q2(X,X,X) = true,
inference(equational,[status(thm)],[c33,c153,c224]) ).
cnf(c321,axiom,
ifeq(s1(X),true,ifeq(q0(Y,Z),true,s1(Y),true),true) = true,
file('theBenchmark.p',rule_126) ).
cnf(c323,plain,
ifeq(s1(X),true,s1(Y),true) = true,
inference(equational,[status(thm)],[c10,c33,c321]) ).
cnf(c324,plain,
s1(X) = true,
inference(equational,[status(thm)],[c33,c43,c323]) ).
cnf(c371,axiom,
ifeq(s4(X),true,ifeq(m4(e,e),true,m5(X,X),true),true) = true,
file('theBenchmark.p',rule_305) ).
cnf(c372,axiom,
ifeq(q2(b,X,b),true,ifeq(s1(b),true,s2(X),true),true) = true,
file('theBenchmark.p',rule_189) ).
cnf(c373,plain,
ifeq(q2(b,X,b),true,s2(X),true) = true,
inference(equational,[status(thm)],[c33,c43,c372]) ).
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(c386,plain,
ifeq(l1(X,Y),true,s4(X),true) = true,
inference(equational,[status(thm)],[c33,c155,c376]) ).
cnf(c389,plain,
s4(d) = true,
inference(equational,[status(thm)],[c33,c99,c386]) ).
cnf(c405,plain,
ifeq(m4(e,e),true,m5(d,d),true) = true,
inference(equational,[status(thm)],[c33,c371,c389]) ).
cnf(c455,axiom,
ifeq(s3(a,X),true,ifeq(l2(Y,Z),true,m4(X,Z),true),true) = true,
file('theBenchmark.p',rule_279) ).
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(c849,axiom,
ifeq(l0(X),true,ifeq(p0(b,Y),true,ifeq(s0(b),true,n1(X,Y,X),true),true),true) = true,
file('theBenchmark.p',rule_050) ).
cnf(c850,plain,
ifeq(l0(X),true,n1(X,Y,X),true) = true,
inference(equational,[status(thm)],[c2,c9,c33,c849]) ).
cnf(c851,plain,
n1(a,X,a) = true,
inference(equational,[status(thm)],[c5,c33,c850]) ).
cnf(c1070,axiom,
ifeq(s1(X),true,ifeq(p0(Y,Y),true,ifeq(m0(Z,X,W),true,l2(W,W),true),true),true) = true,
file('theBenchmark.p',rule_133) ).
cnf(c1071,plain,
ifeq(p0(X,X),true,ifeq(m0(Y,Z,W),true,l2(W,W),true),true) = true,
inference(equational,[status(thm)],[c33,c324,c1070]) ).
cnf(c1072,plain,
ifeq(p0(X,X),true,l2(Y,Y),true) = true,
inference(equational,[status(thm)],[c25,c33,c1071]) ).
cnf(c1073,plain,
l2(X,X) = true,
inference(equational,[status(thm)],[c9,c33,c1072]) ).
cnf(c1107,plain,
ifeq(s3(a,X),true,m4(X,Y),true) = true,
inference(equational,[status(thm)],[c33,c455,c1073]) ).
cnf(c1233,axiom,
ifeq(n1(X,Y,X),true,ifeq(l0(Z),true,ifeq(l1(Z,X),true,n1(X,Y,Y),true),true),true) = true,
file('theBenchmark.p',rule_054) ).
cnf(c1234,plain,
n1(a,X,X) = true,
inference(equational,[status(thm)],[c5,c33,c98,c851,c1233]) ).
cnf(c1269,axiom,
ifeq(s2(X),true,ifeq(q2(Y,X,Y),true,ifeq(m0(Y,Z,W),true,s3(X,W),true),true),true) = true,
file('theBenchmark.p',rule_273) ).
cnf(c1276,plain,
ifeq(s2(X),true,ifeq(m0(X,Y,Z),true,s3(X,Z),true),true) = true,
inference(equational,[status(thm)],[c33,c225,c1269]) ).
cnf(c1277,plain,
ifeq(s2(X),true,s3(X,Y),true) = true,
inference(equational,[status(thm)],[c25,c33,c1276]) ).
cnf(c1620,axiom,
ifeq(q2(X,Y,Z),true,ifeq(p1(Z,Z,Y),true,ifeq(n1(X,Z,Y),true,q2(Z,X,Z),true),true),true) = true,
file('theBenchmark.p',rule_182) ).
cnf(c1645,plain,
ifeq(n1(X,b,b),true,q2(b,X,b),true) = true,
inference(equational,[status(thm)],[c33,c70,c545,c1620]) ).
cnf(c1646,plain,
q2(b,a,b) = true,
inference(equational,[status(thm)],[c33,c1234,c1645]) ).
cnf(c1647,plain,
s2(a) = true,
inference(equational,[status(thm)],[c33,c373,c1646]) ).
cnf(c1649,plain,
s3(a,X) = true,
inference(equational,[status(thm)],[c33,c1277,c1647]) ).
cnf(c1652,plain,
m4(X,Y) = true,
inference(equational,[status(thm)],[c33,c1107,c1649]) ).
cnf(c1657,plain,
m5(d,d) = true,
inference(equational,[status(thm)],[c33,c405,c1652]) ).
cnf(g1,plain,
m5(d,d) = true,
inference(equational,[status(thm)],[c1657]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : SYN143-10 : TPTP v9.0.0. Released v7.3.0.
% 0.14/0.14 % Command : run_Leo-III %s %d THM
% 0.14/0.36 % Computer : n010.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Jul 14 22:06:34 EDT 2025
% 0.14/0.36 % CPUTime :
% 61.63/61.81 % SZS status Unsatisfiable
% 61.63/61.81 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------