%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : SYN170-10 : 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 08:34:49 AM UTC 2025
% Result : Unsatisfiable 61.17s 61.37s
% Output : CNFRefutation 61.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 18 ( 17 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 5 ( 3 ~; 0 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 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 : 23 ( 10 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
p4(X,c,Y) != true,
file('theBenchmark.p',prove_this) ).
fof(e,plain,
! [X,Y] :
( true0 != false
& eq(X,X) = true0
& eq(p4(X,c,Y),true) = false ),
inference(encode_existential,[status(esa)],[g0]) ).
cnf(g1,plain,
true0 != false,
inference(split_conjunct,[status(thm)],[e]) ).
cnf(c9,plain,
eq(X,X) = true0,
inference(split_conjunct,[status(thm)],[e]) ).
cnf(c10,axiom,
p0(b,X) = true,
file('theBenchmark.p',axiom_14) ).
cnf(c34,axiom,
ifeq(X,X,Y,Z) = Y,
file('theBenchmark.p',ifeq_axiom) ).
cnf(c35,plain,
eq(p4(X,c,Y),true) = false,
inference(split_conjunct,[status(thm)],[e]) ).
cnf(c58,axiom,
ifeq(p1(X,Y,Z),true,n2(Z),true) = true,
file('theBenchmark.p',rule_137) ).
cnf(c66,axiom,
ifeq(n2(X),true,k3(X,X,X),true) = true,
file('theBenchmark.p',rule_210) ).
cnf(c154,axiom,
ifeq(p0(X,Y),true,p1(Y,Y,Y),true) = true,
file('theBenchmark.p',rule_085) ).
cnf(c155,plain,
p1(X,X,X) = true,
inference(equational,[status(thm)],[c10,c34,c154]) ).
cnf(c156,plain,
n2(X) = true,
inference(equational,[status(thm)],[c34,c58,c155]) ).
cnf(c160,plain,
k3(X,X,X) = true,
inference(equational,[status(thm)],[c34,c66,c156]) ).
cnf(c229,axiom,
ifeq(k3(X,X,Y),true,p4(X,Y,X),true) = true,
file('theBenchmark.p',rule_287) ).
cnf(c231,plain,
p4(X,X,X) = true,
inference(equational,[status(thm)],[c34,c160,c229]) ).
cnf(c232,plain,
true0 = false,
inference(equational,[status(thm)],[c9,c35,c231]) ).
cnf(g2,plain,
true0 = false,
inference(equational,[status(thm)],[c232]) ).
cnf(g3,plain,
$false,
inference(resolution,[status(thm)],[g1,g2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN170-10 : TPTP v9.0.0. Released v7.5.0.
% 0.00/0.12 % 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 22:07:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 61.17/61.37 % SZS status Unsatisfiable
% 61.17/61.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------