%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW297+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 09:11:39 AM UTC 2026
% Result : Theorem 82.29s 12.32s
% Output : CNFRefutation 82.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 25 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_evaln__Suc,axiom,
! [X0,X1,X2,X3] :
( 'c$uNatural$uOevaln'(X3,X2,X1,X0)
=> 'c$uNatural$uOevaln'(X3,X2,hAPP('c$uNat$uOSuc',X1),X0) ) ).
fof(conj_0,conjecture,
( ! [X0,X1] :
( 'v$ufun1'(X0,X1)
=> ! [X2] :
( 'c$uNatural$uOevaln'('v$ucom',X1,hAPP('c$uNat$uOSuc','v$un'),X2)
=> 'v$ufun2'(X0,X2) ) )
=> ! [X0,X1] :
( 'v$ufun1'(X0,X1)
=> ! [X2] :
( 'c$uNatural$uOevaln'('v$ucom',X1,'v$un',X2)
=> 'v$ufun2'(X0,X2) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ! [X0,X1] :
( 'v$ufun1'(X0,X1)
=> ! [X2] :
( 'c$uNatural$uOevaln'('v$ucom',X1,hAPP('c$uNat$uOSuc','v$un'),X2)
=> 'v$ufun2'(X0,X2) ) )
=> ! [X0,X1] :
( 'v$ufun1'(X0,X1)
=> ! [X2] :
( 'c$uNatural$uOevaln'('v$ucom',X1,'v$un',X2)
=> 'v$ufun2'(X0,X2) ) ) ),
inference(negate_conjecture,[status(cth)],[conj_0]) ).
cnf(c1,plain,
( 'c$uNatural$uOevaln'(X0,X1,hAPP('c$uNat$uOSuc',X2),X3)
| ~ 'c$uNatural$uOevaln'(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[fact_evaln__Suc]) ).
cnf(c7642,plain,
( 'v$ufun2'(X0,X2)
| ~ 'c$uNatural$uOevaln'('v$ucom',X1,hAPP('c$uNat$uOSuc','v$un'),X2)
| ~ 'v$ufun1'(X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c7643,plain,
'v$ufun1'(sK16817,sK16818),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c7644,plain,
'c$uNatural$uOevaln'('v$ucom',sK16818,'v$un',sK16819),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c7645,plain,
~ 'v$ufun2'(sK16817,sK16819),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'c$uNatural$uOevaln'('v$ucom',X1,'v$un',X2)
| 'v$ufun2'(X0,X2)
| ~ 'v$ufun1'(X0,X1) ),
inference(resolution,[status(thm)],[c7642,c1]) ).
cnf(d1,plain,
( 'v$ufun2'(X0,sK16819)
| ~ 'v$ufun1'(X0,sK16818) ),
inference(resolution,[status(thm)],[d0,c7644]) ).
cnf(d2,plain,
'v$ufun2'(sK16817,sK16819),
inference(resolution,[status(thm)],[d1,c7643]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c7645,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW297+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n007.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sat Sep 26 15:34:39 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 82.29/12.32 % SZS status Theorem for theBenchmark.p
% 82.29/12.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------