%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : SYN563-10 : TPTP v9.0.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n015.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 08:35:25 AM UTC 2025
% Result : Unsatisfiable 191.97s 192.05s
% Output : CNFRefutation 191.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of clauses : 31 ( 31 unt; 0 nHn; 14 RR)
% Number of literals : 31 ( 30 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 : 12 ( 12 usr; 5 con; 0-4 aty)
% Number of variables : 36 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
a != b,
file('theBenchmark.p',goal) ).
cnf(c1,axiom,
p2(X,X) = true,
file('theBenchmark.p',p2_1) ).
cnf(c2,axiom,
p6(X,X) = true,
file('theBenchmark.p',p6_2) ).
cnf(c3,axiom,
ifeq2(X,X,Y,Z) = Y,
file('theBenchmark.p',ifeq_axiom) ).
cnf(c4,axiom,
ifeq(X,X,Y,Z) = Y,
file('theBenchmark.p',ifeq_axiom_001) ).
cnf(c5,axiom,
p2(f4(c7),f4(c8)) = true,
file('theBenchmark.p',p2_4) ).
cnf(c6,axiom,
p5(f3(f3(X)),f3(f4(X))) = true,
file('theBenchmark.p',p5_7) ).
cnf(c18,axiom,
ifeq2(p5(X,Y),true,p6(f4(X),Y),true) = true,
file('theBenchmark.p',p6_10) ).
cnf(c20,axiom,
ifeq2(p6(c7,X),true,p6(c7,f3(X)),true) = true,
file('theBenchmark.p',p6_9) ).
cnf(c21,plain,
p6(c7,f3(c7)) = true,
inference(equational,[status(thm)],[c2,c3,c20]) ).
cnf(c22,plain,
p6(c7,f3(f3(c7))) = true,
inference(equational,[status(thm)],[c3,c20,c21]) ).
cnf(c30,axiom,
ifeq(p6(f4(c7),f3(f4(c8))),true,a,b) = b,
file('theBenchmark.p',not_p6_5) ).
cnf(c36,axiom,
ifeq2(p2(X,Y),true,p2(f3(X),f3(Y)),true) = true,
file('theBenchmark.p',p2_11) ).
cnf(c37,plain,
p2(f3(f4(c7)),f3(f4(c8))) = true,
inference(equational,[status(thm)],[c3,c5,c36]) ).
cnf(c70,axiom,
ifeq2(p6(X,Y),true,ifeq2(p6(Z,X),true,p6(Z,Y),true),true) = true,
file('theBenchmark.p',p6_14) ).
cnf(c284,axiom,
ifeq2(p2(X,Y),true,ifeq2(p2(X,Z),true,p2(Z,Y),true),true) = true,
file('theBenchmark.p',p2_13) ).
cnf(c285,plain,
ifeq2(p2(X,Y),true,p2(Y,X),true) = true,
inference(equational,[status(thm)],[c1,c3,c284]) ).
cnf(c287,plain,
p2(f3(f4(c8)),f3(f4(c7))) = true,
inference(equational,[status(thm)],[c3,c37,c285]) ).
cnf(c314,axiom,
ifeq2(p6(X,Y),true,ifeq2(p5(Y,Z),true,p5(X,Z),true),true) = true,
file('theBenchmark.p',p5_15) ).
cnf(c369,plain,
ifeq2(p5(f3(f3(c7)),X),true,p5(c7,X),true) = true,
inference(equational,[status(thm)],[c3,c22,c314]) ).
cnf(c370,plain,
p5(c7,f3(f4(c7))) = true,
inference(equational,[status(thm)],[c3,c6,c369]) ).
cnf(c371,plain,
p6(f4(c7),f3(f4(c7))) = true,
inference(equational,[status(thm)],[c3,c18,c370]) ).
cnf(c904,plain,
ifeq2(p6(f3(f4(c7)),X),true,p6(f4(c7),X),true) = true,
inference(equational,[status(thm)],[c3,c70,c371]) ).
cnf(c10223,axiom,
ifeq2(p2(X,Y),true,ifeq2(p2(Z,W),true,ifeq2(p6(Z,X),true,p6(W,Y),true),true),true) = true,
file('theBenchmark.p',p6_16) ).
cnf(c10278,plain,
ifeq2(p2(X,Y),true,ifeq2(p2(X,Z),true,p6(Z,Y),true),true) = true,
inference(equational,[status(thm)],[c2,c3,c10223]) ).
cnf(c10279,plain,
ifeq2(p2(X,Y),true,p6(Y,X),true) = true,
inference(equational,[status(thm)],[c1,c3,c10278]) ).
cnf(c10298,plain,
p6(f3(f4(c7)),f3(f4(c8))) = true,
inference(equational,[status(thm)],[c3,c287,c10279]) ).
cnf(c10328,plain,
p6(f4(c7),f3(f4(c8))) = true,
inference(equational,[status(thm)],[c3,c904,c10298]) ).
cnf(c10329,plain,
b = a,
inference(equational,[status(thm)],[c4,c30,c10328]) ).
cnf(g1,plain,
a = b,
inference(equational,[status(thm)],[c10329]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN563-10 : TPTP v9.0.0. Released v7.5.0.
% 0.11/0.12 % Command : run_Leo-III %s %d THM
% 0.12/0.33 % Computer : n015.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 22:23:49 EDT 2025
% 0.18/0.33 % CPUTime :
% 191.97/192.05 % SZS status Unsatisfiable
% 191.97/192.05 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------