%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW342+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 09:11:43 AM UTC 2026
% Result : Theorem 64.84s 13.05s
% Output : CNFRefutation 64.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 6 unt; 0 def)
% Number of atoms : 16 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 4 ~; 1 |; 0 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 12 ( 1 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_evaln__elim__cases_I1_J,axiom,
! [X0,X1,X2] :
( 'c$uNatural$uOevaln'('c$uCom$uOcom$uOSKIP',X2,X1,X0)
=> X0 = X2 ) ).
fof(conj_1,conjecture,
! [X0,X1] :
( 'v$uP'(X0,X1)
=> ! [X2] :
( 'c$uNatural$uOevaln'('c$uCom$uOcom$uOSKIP',X1,'v$un',X2)
=> 'v$uP'(X0,X2) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( 'v$uP'(X0,X1)
=> ! [X2] :
( 'c$uNatural$uOevaln'('c$uCom$uOcom$uOSKIP',X1,'v$un',X2)
=> 'v$uP'(X0,X2) ) ),
inference(negate_conjecture,[status(cth)],[conj_1]) ).
cnf(c2,plain,
( X2 = X0
| ~ 'c$uNatural$uOevaln'('c$uCom$uOcom$uOSKIP',X0,X1,X2) ),
inference(clausification,[status(esa)],[fact_evaln__elim__cases_I1_J]) ).
cnf(c7498,plain,
'v$uP'(sK17123,sK17124),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c7499,plain,
'c$uNatural$uOevaln'('c$uCom$uOcom$uOSKIP',sK17124,'v$un',sK17125),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c7500,plain,
~ 'v$uP'(sK17123,sK17125),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
sK17125 = sK17124,
inference(resolution,[status(thm)],[c2,c7499]) ).
cnf(d1,plain,
~ 'v$uP'(sK17123,sK17124),
inference(demodulation,[status(thm)],[c7500,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c7498,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW342+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
% 0.09/0.37 % Computer : n017.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 15:37:49 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 64.84/13.05 % SZS status Theorem for theBenchmark.p
% 64.84/13.05 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------