%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : REL014+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 08:24:16 AM UTC 2026
% Result : Theorem 15.05s 2.26s
% Output : CNFRefutation 15.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 14 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 1 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(composition_identity,axiom,
! [X0] : composition(X0,one) = X0 ).
fof(converse_idempotence,axiom,
! [X0] : converse(converse(X0)) = X0 ).
fof(converse_multiplicativity,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)) ).
fof(goals,conjecture,
! [X0] :
( composition(one,X0) = X0
& composition(X0,one) = X0 ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( composition(one,X0) = X0
& composition(X0,one) = X0 ),
inference(negate_conjecture,[status(cth)],[goals]) ).
cnf(c5,plain,
composition(X0,one) = X0,
inference(clausification,[status(esa)],[composition_identity]) ).
cnf(c7,plain,
converse(converse(X0)) = X0,
inference(clausification,[status(esa)],[converse_idempotence]) ).
cnf(c9,plain,
converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(clausification,[status(esa)],[converse_multiplicativity]) ).
cnf(c13,plain,
( composition(one,sK25) != sK25
| composition(sK25,one) != sK25 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c7,c9]) ).
cnf(d1,plain,
converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[status(thm)],[c5,d0]) ).
cnf(d2,plain,
X0 = composition(converse(one),X0),
inference(demodulation,[status(thm)],[d1,c7]) ).
cnf(d3,plain,
one = converse(one),
inference(superposition,[status(thm)],[d2,c5]) ).
cnf(d4,plain,
X0 = composition(one,X0),
inference(demodulation,[status(thm)],[d2,d3]) ).
cnf(d5,plain,
composition(one,sK25) != sK25,
inference(resolution,[status(thm)],[c5,c13]) ).
cnf(d6,plain,
sK25 != sK25,
inference(demodulation,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
$false,
inference(equality_resolution,[status(thm)],[d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL014+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n006.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 05:27:25 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.05/2.26 % SZS status Theorem for theBenchmark.p
% 15.05/2.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------