%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW349+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 09:11:44 AM UTC 2026
% Result : Theorem 61.33s 15.44s
% Output : CNFRefutation 61.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 36 ( 24 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 27 ( 9 ~; 14 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 27 ( 5 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_com__det,axiom,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(hAPP('c$uNatural$uOevalc'(X3),X2),X1))
=> ( hBOOL(hAPP(hAPP('c$uNatural$uOevalc'(X3),X2),X0))
=> X0 = X1 ) ) ).
fof(fact_com_Osimps_I12_J,axiom,
! [X0,X1] : 'c$uCom$uOcom$uOSKIP' != 'c$uCom$uOcom$uOSemi'(X1,X0) ).
fof(conj_1,hypothesis,
! [X0] :
( ! [X1] :
( hBOOL(hAPP(hAPP('c$uNatural$uOevalc'('v$uc'),'v$uZ'),X1))
=> X0 = X1 )
=> X0 = 'v$us$uH' ) ).
fof(conj_2,conjecture,
hBOOL(hAPP(hAPP('c$uNatural$uOevalc'('v$uc'),'v$uZ'),'v$us$uH')) ).
fof(negated_conjecture,negated_conjecture,
~ hBOOL(hAPP(hAPP('c$uNatural$uOevalc'('v$uc'),'v$uZ'),'v$us$uH')),
inference(negate_conjecture,[status(cth)],[conj_2]) ).
cnf(c1,plain,
( X3 = X2
| ~ hBOOL(hAPP(hAPP('c$uNatural$uOevalc'(X0),X1),X3))
| ~ hBOOL(hAPP(hAPP('c$uNatural$uOevalc'(X0),X1),X2)) ),
inference(clausification,[status(esa)],[fact_com__det]) ).
cnf(c45,plain,
'c$uCom$uOcom$uOSKIP' != 'c$uCom$uOcom$uOSemi'(X0,X1),
inference(clausification,[status(esa)],[fact_com_Osimps_I12_J]) ).
cnf(c189,plain,
( X0 = 'v$us$uH'
| hBOOL(hAPP(hAPP('c$uNatural$uOevalc'('v$uc'),'v$uZ'),sK426(X0))) ),
inference(clausification,[status(esa)],[conj_1]) ).
cnf(c190,plain,
( X0 = 'v$us$uH'
| X0 != sK426(X0) ),
inference(clausification,[status(esa)],[conj_1]) ).
cnf(c191,plain,
~ hBOOL(hAPP(hAPP('c$uNatural$uOevalc'('v$uc'),'v$uZ'),'v$us$uH')),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ hBOOL(hAPP(hAPP('c$uNatural$uOevalc'('v$uc'),'v$uZ'),X1))
| sK426(X0) = X1
| X0 = 'v$us$uH' ),
inference(resolution,[status(thm)],[c189,c1]) ).
cnf(d1,plain,
( X1 = 'v$us$uH'
| sK426(X0) = sK426(X1)
| X0 = 'v$us$uH' ),
inference(resolution,[status(thm)],[d0,c189]) ).
cnf(d2,plain,
( X0 = 'v$us$uH'
| X1 = 'v$us$uH'
| X0 = 'v$us$uH'
| X0 != sK426(X1) ),
inference(superposition,[status(thm)],[d1,c190]) ).
cnf(d3,plain,
( sK426(X0) = 'v$us$uH'
| X0 = 'v$us$uH' ),
inference(equality_resolution,[status(thm)],[d2]) ).
cnf(d4,plain,
( X0 = 'v$us$uH'
| X0 = 'v$us$uH'
| hBOOL(hAPP(hAPP('c$uNatural$uOevalc'('v$uc'),'v$uZ'),'v$us$uH')) ),
inference(superposition,[status(thm)],[d3,c189]) ).
cnf(d5,plain,
X0 = 'v$us$uH',
inference(resolution,[status(thm)],[c191,d4]) ).
cnf(d6,plain,
X1 = X0,
inference(superposition,[status(thm)],[d5,d5]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d6,c45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW349+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 15:38:19 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 61.33/15.44 % SZS status Theorem for theBenchmark.p
% 61.33/15.44 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------