%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ITP019+2 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 07:38:10 AM UTC 2026
% Result : Theorem 12.16s 2.22s
% Output : CNFRefutation 12.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 22 ( 15 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 23 ( 12 ~; 5 |; 0 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0,axiom,
! [X0] :
( mem(X0,'ty$u2Epair$u2Eprod'('ty$u2Erealax$u2Ereal','ty$u2Erealax$u2Ereal'))
=> ( ap('c$u2Ecomplex$u2Ecomplex$u$uinv',X0) = ap('c$u2Ecomplex$u2Ecomplex$u$uof$u$unum','c$u2Enum$u2E0')
<=> X0 = ap('c$u2Ecomplex$u2Ecomplex$u$uof$u$unum','c$u2Enum$u2E0') ) ) ).
fof(conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ,conjecture,
! [X0] :
( mem(X0,'ty$u2Epair$u2Eprod'('ty$u2Erealax$u2Ereal','ty$u2Erealax$u2Ereal'))
=> ( X0 != ap('c$u2Ecomplex$u2Ecomplex$u$uof$u$unum','c$u2Enum$u2E0')
=> ap('c$u2Ecomplex$u2Ecomplex$u$uinv',X0) != ap('c$u2Ecomplex$u2Ecomplex$u$uof$u$unum','c$u2Enum$u2E0') ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( mem(X0,'ty$u2Epair$u2Eprod'('ty$u2Erealax$u2Ereal','ty$u2Erealax$u2Ereal'))
=> ( X0 != ap('c$u2Ecomplex$u2Ecomplex$u$uof$u$unum','c$u2Enum$u2E0')
=> ap('c$u2Ecomplex$u2Ecomplex$u$uinv',X0) != ap('c$u2Ecomplex$u2Ecomplex$u$uof$u$unum','c$u2Enum$u2E0') ) ),
inference(negate_conjecture,[status(cth)],[conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ]) ).
cnf(c37,plain,
( X0 = ap('c$u2Ecomplex$u2Ecomplex$u$uof$u$unum','c$u2Enum$u2E0')
| ap('c$u2Ecomplex$u2Ecomplex$u$uinv',X0) != ap('c$u2Ecomplex$u2Ecomplex$u$uof$u$unum','c$u2Enum$u2E0')
| ~ mem(X0,'ty$u2Epair$u2Eprod'('ty$u2Erealax$u2Ereal','ty$u2Erealax$u2Ereal')) ),
inference(clausification,[status(esa)],[conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0]) ).
cnf(c51,plain,
mem(sK41,'ty$u2Epair$u2Eprod'('ty$u2Erealax$u2Ereal','ty$u2Erealax$u2Ereal')),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c52,plain,
sK41 != ap('c$u2Ecomplex$u2Ecomplex$u$uof$u$unum','c$u2Enum$u2E0'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c53,plain,
ap('c$u2Ecomplex$u2Ecomplex$u$uinv',sK41) = ap('c$u2Ecomplex$u2Ecomplex$u$uof$u$unum','c$u2Enum$u2E0'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ mem(sK41,'ty$u2Epair$u2Eprod'('ty$u2Erealax$u2Ereal','ty$u2Erealax$u2Ereal'))
| sK41 = ap('c$u2Ecomplex$u2Ecomplex$u$uof$u$unum','c$u2Enum$u2E0')
| ap('c$u2Ecomplex$u2Ecomplex$u$uof$u$unum','c$u2Enum$u2E0') != ap('c$u2Ecomplex$u2Ecomplex$u$uof$u$unum','c$u2Enum$u2E0') ),
inference(superposition,[status(thm)],[c53,c37]) ).
cnf(d1,plain,
( sK41 = ap('c$u2Ecomplex$u2Ecomplex$u$uof$u$unum','c$u2Enum$u2E0')
| ap('c$u2Ecomplex$u2Ecomplex$u$uof$u$unum','c$u2Enum$u2E0') != ap('c$u2Ecomplex$u2Ecomplex$u$uof$u$unum','c$u2Enum$u2E0') ),
inference(resolution,[status(thm)],[c51,d0]) ).
cnf(d2,plain,
ap('c$u2Ecomplex$u2Ecomplex$u$uof$u$unum','c$u2Enum$u2E0') != ap('c$u2Ecomplex$u2Ecomplex$u$uof$u$unum','c$u2Enum$u2E0'),
inference(resolution,[status(thm)],[c52,d1]) ).
cnf(d3,plain,
$false,
inference(equality_resolution,[status(thm)],[d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP019+2 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n003.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 25 17:29:53 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.16/2.22 % SZS status Theorem for theBenchmark.p
% 12.16/2.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------