%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ITP018+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 07:38:09 AM UTC 2026
% Result : Theorem 228.34s 33.11s
% Output : CNFRefutation 228.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 13 unt; 0 def)
% Number of atoms : 13 ( 12 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-2 aty)
% Number of variables : 20 ( 3 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm_2Ebinary__ieee_2Efloat__to__real__negate,axiom,
! [X0,X1,X2] : s('tyop$u2Erealax$u2Ereal','c$u2Ebinary$u$uieee$u2Efloat$u$uto$u$ureal$u2E1'(s('tyop$u2Ebinary$u$uieee$u2Efloat'(X0,X1),'c$u2Ebinary$u$uieee$u2Efloat$u$unegate$u2E1'(s('tyop$u2Ebinary$u$uieee$u2Efloat'(X0,X1),X2))))) = s('tyop$u2Erealax$u2Ereal','c$u2Erealax$u2Ereal$u$uneg$u2E1'(s('tyop$u2Erealax$u2Ereal','c$u2Ebinary$u$uieee$u2Efloat$u$uto$u$ureal$u2E1'(s('tyop$u2Ebinary$u$uieee$u2Efloat'(X0,X1),X2))))) ).
fof(thm_2Ebinary__ieee_2Eulp,axiom,
! [X0,X1] : s('tyop$u2Erealax$u2Ereal','c$u2Ebinary$u$uieee$u2Eulp$u2E1'(s('tyop$u2Ebool$u2Eitself'('tyop$u2Epair$u2Eprod'(X0,X1)),'c$u2Ebool$u2Ethe$u$uvalue$u2E0'))) = s('tyop$u2Erealax$u2Ereal','c$u2Ebinary$u$uieee$u2Efloat$u$uto$u$ureal$u2E1'(s('tyop$u2Ebinary$u$uieee$u2Efloat'(X0,X1),'c$u2Ebinary$u$uieee$u2Efloat$u$uplus$u$umin$u2E1'(s('tyop$u2Ebool$u2Eitself'('tyop$u2Epair$u2Eprod'(X0,X1)),'c$u2Ebool$u2Ethe$u$uvalue$u2E0'))))) ).
fof(thm_2Ebool_2EITSELF__UNIQUE,axiom,
! [X0,X1] : s('tyop$u2Ebool$u2Eitself'(X0),X1) = s('tyop$u2Ebool$u2Eitself'(X0),'c$u2Ebool$u2Ethe$u$uvalue$u2E0') ).
fof(thm_2Ebinary__ieee_2Eneg__ulp,conjecture,
! [X0,X1] : s('tyop$u2Erealax$u2Ereal','c$u2Erealax$u2Ereal$u$uneg$u2E1'(s('tyop$u2Erealax$u2Ereal','c$u2Ebinary$u$uieee$u2Eulp$u2E1'(s('tyop$u2Ebool$u2Eitself'('tyop$u2Epair$u2Eprod'(X0,X1)),'c$u2Ebool$u2Ethe$u$uvalue$u2E0'))))) = s('tyop$u2Erealax$u2Ereal','c$u2Ebinary$u$uieee$u2Efloat$u$uto$u$ureal$u2E1'(s('tyop$u2Ebinary$u$uieee$u2Efloat'(X0,X1),'c$u2Ebinary$u$uieee$u2Efloat$u$unegate$u2E1'(s('tyop$u2Ebinary$u$uieee$u2Efloat'(X0,X1),'c$u2Ebinary$u$uieee$u2Efloat$u$uplus$u$umin$u2E1'(s('tyop$u2Ebool$u2Eitself'('tyop$u2Epair$u2Eprod'(X0,X1)),'c$u2Ebool$u2Ethe$u$uvalue$u2E0'))))))) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] : s('tyop$u2Erealax$u2Ereal','c$u2Erealax$u2Ereal$u$uneg$u2E1'(s('tyop$u2Erealax$u2Ereal','c$u2Ebinary$u$uieee$u2Eulp$u2E1'(s('tyop$u2Ebool$u2Eitself'('tyop$u2Epair$u2Eprod'(X0,X1)),'c$u2Ebool$u2Ethe$u$uvalue$u2E0'))))) = s('tyop$u2Erealax$u2Ereal','c$u2Ebinary$u$uieee$u2Efloat$u$uto$u$ureal$u2E1'(s('tyop$u2Ebinary$u$uieee$u2Efloat'(X0,X1),'c$u2Ebinary$u$uieee$u2Efloat$u$unegate$u2E1'(s('tyop$u2Ebinary$u$uieee$u2Efloat'(X0,X1),'c$u2Ebinary$u$uieee$u2Efloat$u$uplus$u$umin$u2E1'(s('tyop$u2Ebool$u2Eitself'('tyop$u2Epair$u2Eprod'(X0,X1)),'c$u2Ebool$u2Ethe$u$uvalue$u2E0'))))))),
inference(negate_conjecture,[status(cth)],[thm_2Ebinary__ieee_2Eneg__ulp]) ).
cnf(c133,plain,
s('tyop$u2Erealax$u2Ereal','c$u2Erealax$u2Ereal$u$uneg$u2E1'(s('tyop$u2Erealax$u2Ereal','c$u2Ebinary$u$uieee$u2Efloat$u$uto$u$ureal$u2E1'(s('tyop$u2Ebinary$u$uieee$u2Efloat'(X0,X1),X2))))) = s('tyop$u2Erealax$u2Ereal','c$u2Ebinary$u$uieee$u2Efloat$u$uto$u$ureal$u2E1'(s('tyop$u2Ebinary$u$uieee$u2Efloat'(X0,X1),'c$u2Ebinary$u$uieee$u2Efloat$u$unegate$u2E1'(s('tyop$u2Ebinary$u$uieee$u2Efloat'(X0,X1),X2))))),
inference(clausification,[status(esa)],[thm_2Ebinary__ieee_2Efloat__to__real__negate]) ).
cnf(c135,plain,
s('tyop$u2Erealax$u2Ereal','c$u2Ebinary$u$uieee$u2Efloat$u$uto$u$ureal$u2E1'(s('tyop$u2Ebinary$u$uieee$u2Efloat'(X0,X1),'c$u2Ebinary$u$uieee$u2Efloat$u$uplus$u$umin$u2E1'(s('tyop$u2Ebool$u2Eitself'('tyop$u2Epair$u2Eprod'(X0,X1)),'c$u2Ebool$u2Ethe$u$uvalue$u2E0'))))) = s('tyop$u2Erealax$u2Ereal','c$u2Ebinary$u$uieee$u2Eulp$u2E1'(s('tyop$u2Ebool$u2Eitself'('tyop$u2Epair$u2Eprod'(X0,X1)),'c$u2Ebool$u2Ethe$u$uvalue$u2E0'))),
inference(clausification,[status(esa)],[thm_2Ebinary__ieee_2Eulp]) ).
cnf(c138,plain,
s('tyop$u2Ebool$u2Eitself'(X0),'c$u2Ebool$u2Ethe$u$uvalue$u2E0') = s('tyop$u2Ebool$u2Eitself'(X0),X1),
inference(clausification,[status(esa)],[thm_2Ebool_2EITSELF__UNIQUE]) ).
cnf(c324,plain,
s('tyop$u2Erealax$u2Ereal','c$u2Ebinary$u$uieee$u2Efloat$u$uto$u$ureal$u2E1'(s('tyop$u2Ebinary$u$uieee$u2Efloat'(sK607,sK608),'c$u2Ebinary$u$uieee$u2Efloat$u$unegate$u2E1'(s('tyop$u2Ebinary$u$uieee$u2Efloat'(sK607,sK608),'c$u2Ebinary$u$uieee$u2Efloat$u$uplus$u$umin$u2E1'(s('tyop$u2Ebool$u2Eitself'('tyop$u2Epair$u2Eprod'(sK607,sK608)),'c$u2Ebool$u2Ethe$u$uvalue$u2E0'))))))) != s('tyop$u2Erealax$u2Ereal','c$u2Erealax$u2Ereal$u$uneg$u2E1'(s('tyop$u2Erealax$u2Ereal','c$u2Ebinary$u$uieee$u2Eulp$u2E1'(s('tyop$u2Ebool$u2Eitself'('tyop$u2Epair$u2Eprod'(sK607,sK608)),'c$u2Ebool$u2Ethe$u$uvalue$u2E0'))))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
s('tyop$u2Erealax$u2Ereal','c$u2Ebinary$u$uieee$u2Efloat$u$uto$u$ureal$u2E1'(s('tyop$u2Ebinary$u$uieee$u2Efloat'(sK607,sK608),'c$u2Ebinary$u$uieee$u2Efloat$u$unegate$u2E1'(s('tyop$u2Ebinary$u$uieee$u2Efloat'(sK607,sK608),'c$u2Ebinary$u$uieee$u2Efloat$u$uplus$u$umin$u2E1'(s('tyop$u2Ebool$u2Eitself'('tyop$u2Epair$u2Eprod'(sK607,sK608)),X0))))))) != s('tyop$u2Erealax$u2Ereal','c$u2Erealax$u2Ereal$u$uneg$u2E1'(s('tyop$u2Erealax$u2Ereal','c$u2Ebinary$u$uieee$u2Eulp$u2E1'(s('tyop$u2Ebool$u2Eitself'('tyop$u2Epair$u2Eprod'(sK607,sK608)),'c$u2Ebool$u2Ethe$u$uvalue$u2E0'))))),
inference(superposition,[status(thm)],[c138,c324]) ).
cnf(d1,plain,
s('tyop$u2Erealax$u2Ereal','c$u2Erealax$u2Ereal$u$uneg$u2E1'(s('tyop$u2Erealax$u2Ereal','c$u2Ebinary$u$uieee$u2Efloat$u$uto$u$ureal$u2E1'(s('tyop$u2Ebinary$u$uieee$u2Efloat'(sK607,sK608),'c$u2Ebinary$u$uieee$u2Efloat$u$uplus$u$umin$u2E1'(s('tyop$u2Ebool$u2Eitself'('tyop$u2Epair$u2Eprod'(sK607,sK608)),X0))))))) != s('tyop$u2Erealax$u2Ereal','c$u2Erealax$u2Ereal$u$uneg$u2E1'(s('tyop$u2Erealax$u2Ereal','c$u2Ebinary$u$uieee$u2Eulp$u2E1'(s('tyop$u2Ebool$u2Eitself'('tyop$u2Epair$u2Eprod'(sK607,sK608)),'c$u2Ebool$u2Ethe$u$uvalue$u2E0'))))),
inference(demodulation,[status(thm)],[d0,c133]) ).
cnf(d2,plain,
s('tyop$u2Erealax$u2Ereal','c$u2Erealax$u2Ereal$u$uneg$u2E1'(s('tyop$u2Erealax$u2Ereal','c$u2Ebinary$u$uieee$u2Eulp$u2E1'(s('tyop$u2Ebool$u2Eitself'('tyop$u2Epair$u2Eprod'(sK607,sK608)),'c$u2Ebool$u2Ethe$u$uvalue$u2E0'))))) != s('tyop$u2Erealax$u2Ereal','c$u2Erealax$u2Ereal$u$uneg$u2E1'(s('tyop$u2Erealax$u2Ereal','c$u2Ebinary$u$uieee$u2Eulp$u2E1'(s('tyop$u2Ebool$u2Eitself'('tyop$u2Epair$u2Eprod'(sK607,sK608)),'c$u2Ebool$u2Ethe$u$uvalue$u2E0'))))),
inference(superposition,[status(thm)],[c135,d1]) ).
cnf(d3,plain,
$false,
inference(equality_resolution,[status(thm)],[d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ITP018+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n009.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Fri Sep 25 17:27:17 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 228.34/33.11 % SZS status Theorem for theBenchmark.p
% 228.34/33.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------