%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW294+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 : n008.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 09:11:38 AM UTC 2026
% Result : Theorem 75.92s 19.51s
% Output : CNFRefutation 75.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 11 unt; 0 def)
% Number of atoms : 22 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 1 |; 0 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-4 aty)
% Number of variables : 23 ( 4 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_char__size,axiom,
! [X0] : 'c$uString$uOchar$uOchar$u$usize'(X0) = 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') ).
fof(fact_char_Osize_I1_J,axiom,
! [X0,X1] : 'c$uString$uOchar$uOchar$u$usize'(hAPP(hAPP('c$uString$uOchar$uOChar',X1),X0)) = 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') ).
fof(fact_evaln__elim__cases_I6_J,axiom,
! [X0,X1,X2,X3] :
( 'c$uNatural$uOevaln'(hAPP('c$uCom$uOcom$uOBODY',X3),X2,X1,X0)
=> ~ ! [X4] :
( X1 = hAPP('c$uNat$uOSuc',X4)
=> ~ 'c$uNatural$uOevaln'(hAPP('c$uOption$uOthe'('tc$uCom$uOcom'),hAPP('c$uCom$uObody',X3)),X2,X4,X0) ) ) ).
fof(fact_Suc__neq__Zero,axiom,
! [X0] : hAPP('c$uNat$uOSuc',X0) != 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') ).
fof(conj_0,conjecture,
! [X0,X1] :
( 'v$uP'(X0,X1)
=> ! [X2] :
( 'c$uNatural$uOevaln'(hAPP('c$uCom$uOcom$uOBODY','v$upn'),X1,'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat'),X2)
=> 'v$uQ'(X0,X2) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( 'v$uP'(X0,X1)
=> ! [X2] :
( 'c$uNatural$uOevaln'(hAPP('c$uCom$uOcom$uOBODY','v$upn'),X1,'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat'),X2)
=> 'v$uQ'(X0,X2) ) ),
inference(negate_conjecture,[status(cth)],[conj_0]) ).
cnf(c10,plain,
'c$uString$uOchar$uOchar$u$usize'(X0) = 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat'),
inference(clausification,[status(esa)],[fact_char__size]) ).
cnf(c17,plain,
'c$uString$uOchar$uOchar$u$usize'(hAPP(hAPP('c$uString$uOchar$uOChar',X0),X1)) = 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat'),
inference(clausification,[status(esa)],[fact_char_Osize_I1_J]) ).
cnf(c296,plain,
( X2 = hAPP('c$uNat$uOSuc',sK831(X3,X2,X1,X0))
| ~ 'c$uNatural$uOevaln'(hAPP('c$uCom$uOcom$uOBODY',X0),X1,X2,X3) ),
inference(clausification,[status(esa)],[fact_evaln__elim__cases_I6_J]) ).
cnf(c311,plain,
hAPP('c$uNat$uOSuc',X0) != 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat'),
inference(clausification,[status(esa)],[fact_Suc__neq__Zero]) ).
cnf(c7496,plain,
'c$uNatural$uOevaln'(hAPP('c$uCom$uOcom$uOBODY','v$upn'),sK17073,'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat'),sK17074),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = hAPP('c$uNat$uOSuc',sK831(sK17074,'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat'),sK17073,'v$upn')),
inference(resolution,[status(thm)],[c296,c7496]) ).
cnf(d1,plain,
'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') != 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat'),
inference(superposition,[status(thm)],[d0,c311]) ).
cnf(d2,plain,
'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat'),
inference(demodulation,[status(thm)],[c17,c10]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW294+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n008.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 15:37:24 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 75.92/19.51 % SZS status Theorem for theBenchmark.p
% 75.92/19.51 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------