%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : SWX206-1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n029.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 May 5 07:07:56 PM UTC 2026
% Result : Unsatisfiable 0.28s 0.54s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 15 unt; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 5 ( 3 ~; 0 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 11 ( 2 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
eq2(plus_not_idem(X),bfalse) != btrue,
file('theBenchmark.p',goal) ).
fof(e,plain,
! [X] :
( true != false
& eq0(X,X) = true
& eq0(eq2(plus_not_idem(X),bfalse),btrue) = false ),
inference(encode_existential,[status(esa)],[g0]) ).
cnf(g1,plain,
true != false,
inference(split_conjunct,[status(thm)],[e]) ).
cnf(c1,plain,
eq0(X,X) = true,
inference(split_conjunct,[status(thm)],[e]) ).
cnf(c2,axiom,
eq(X,X) = btrue,
file('theBenchmark.p',axiom_010) ).
cnf(c3,axiom,
eq2(X,X) = btrue,
file('theBenchmark.p',axiom_011) ).
cnf(c4,axiom,
impl(btrue,X) = X,
file('theBenchmark.p',axiom) ).
cnf(c5,axiom,
x2(z,X) = X,
file('theBenchmark.p',axiom_002) ).
cnf(c7,axiom,
eq2(btrue,bfalse) = bfalse,
file('theBenchmark.p',axiom_006) ).
cnf(c13,plain,
eq0(eq2(plus_not_idem(X),bfalse),btrue) = false,
inference(split_conjunct,[status(thm)],[e]) ).
cnf(c14,axiom,
plus_not_idem(X) = impl(eq(x2(X,X),X),eq2(btrue,bfalse)),
file('theBenchmark.p',axiom_004) ).
cnf(c15,plain,
plus_not_idem(X) = impl(eq(x2(X,X),X),bfalse),
inference(equational,[status(thm)],[c7,c14]) ).
cnf(c16,plain,
eq0(eq2(impl(eq(x2(X,X),X),bfalse),bfalse),btrue) = false,
inference(equational,[status(thm)],[c13,c15]) ).
cnf(c17,plain,
true = false,
inference(equational,[status(thm)],[c1,c2,c3,c4,c5,c16]) ).
cnf(g2,plain,
true = false,
inference(equational,[status(thm)],[c17]) ).
cnf(g3,plain,
$false,
inference(resolution,[status(thm)],[g1,g2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX206-1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % Command : run_Leo-III %s %d THM
% 0.15/0.33 % Computer : n029.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 11:34:59 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.28/0.54 % SZS status Unsatisfiable
% 0.28/0.54 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------