%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KLE003+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:43:22 AM UTC 2026
% Result : Theorem 10.38s 1.74s
% Output : CNFRefutation 10.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 9 unt; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 5 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(additive_commutativity,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0) ).
fof(additive_idempotence,axiom,
! [X0] : addition(X0,X0) = X0 ).
fof(goals,conjecture,
( ! [X0] : addition(X0,X0) = X0
<=> addition(one,one) = one ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ! [X0] : addition(X0,X0) = X0
<=> addition(one,one) = one ),
inference(negate_conjecture,[status(cth)],[goals]) ).
cnf(c0,plain,
addition(X0,X1) = addition(X1,X0),
inference(clausification,[status(esa)],[additive_commutativity]) ).
cnf(c3,plain,
addition(X0,X0) = X0,
inference(clausification,[status(esa)],[additive_idempotence]) ).
cnf(c14,plain,
( addition(one,one) = one
| addition(X0,X0) = X0 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c15,plain,
( addition(sK23,sK23) != sK23
| addition(one,one) != one ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( addition(sK23,sK23) != sK23
| one != one ),
inference(demodulation,[status(thm)],[c15,c3]) ).
cnf(d1,plain,
( sK23 != sK23
| one != one ),
inference(demodulation,[status(thm)],[d0,c3]) ).
cnf(d2,plain,
( addition(one,one) = one
| one != one ),
inference(equality_factoring,[status(thm)],[c14]) ).
cnf(d3,plain,
addition(one,one) = one,
inference(equality_resolution,[status(thm)],[d2]) ).
cnf(d4,plain,
one = addition(one,one),
inference(superposition,[status(thm)],[d3,c0]) ).
cnf(d5,plain,
one = one,
inference(demodulation,[status(thm)],[d4,c3]) ).
cnf(d6,plain,
sK23 != sK23,
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
$false,
inference(equality_resolution,[status(thm)],[d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE003+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 19:12:05 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.38/1.74 % SZS status Theorem for theBenchmark.p
% 10.38/1.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------