%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW348+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 : n014.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 89.27s 11.77s
% Output : CNFRefutation 89.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 44 ( 27 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 35 ( 11 ~; 15 |; 0 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 3 sgn 14 !; 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_single__stateE,axiom,
( 'c$uHoare$u$uMirabelle$uOstate$u$unot$u$usingleton'
=> ! [X0] :
~ ! [X1] : X1 = X0 ) ).
fof(conj_0,hypothesis,
'c$uHoare$u$uMirabelle$uOstate$u$unot$u$usingleton' ).
fof(conj_1,conjecture,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( hBOOL(hAPP(hAPP('c$uNatural$uOevalc'('v$uc'),X0),X3))
=> X2 = X3 )
=> X2 = X1 )
=> hBOOL(hAPP(hAPP('c$uNatural$uOevalc'('v$uc'),X0),X1)) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( ! [X2] :
( ! [X3] :
( hBOOL(hAPP(hAPP('c$uNatural$uOevalc'('v$uc'),X0),X3))
=> X2 = X3 )
=> X2 = X1 )
=> hBOOL(hAPP(hAPP('c$uNatural$uOevalc'('v$uc'),X0),X1)) ),
inference(negate_conjecture,[status(cth)],[conj_1]) ).
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(c4,plain,
( sK12(X0) != X0
| ~ 'c$uHoare$u$uMirabelle$uOstate$u$unot$u$usingleton' ),
inference(clausification,[status(esa)],[fact_single__stateE]) ).
cnf(c7525,plain,
'c$uHoare$u$uMirabelle$uOstate$u$unot$u$usingleton',
inference(clausification,[status(esa)],[conj_0]) ).
cnf(c7526,plain,
( X0 = sK17200
| hBOOL(hAPP(hAPP('c$uNatural$uOevalc'('v$uc'),sK17199),sK17202(X0))) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c7527,plain,
( X0 = sK17200
| X0 != sK17202(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c7528,plain,
~ hBOOL(hAPP(hAPP('c$uNatural$uOevalc'('v$uc'),sK17199),sK17200)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
sK12(X0) != X0,
inference(resolution,[status(thm)],[c7525,c4]) ).
cnf(d1,plain,
( ~ hBOOL(hAPP(hAPP('c$uNatural$uOevalc'('v$uc'),sK17199),X1))
| sK17202(X0) = X1
| X0 = sK17200 ),
inference(resolution,[status(thm)],[c7526,c1]) ).
cnf(d2,plain,
( X1 = sK17200
| sK17202(X0) = sK17202(X1)
| X0 = sK17200 ),
inference(resolution,[status(thm)],[d1,c7526]) ).
cnf(d3,plain,
( X0 = sK17200
| X1 = sK17200
| X0 = sK17200
| X0 != sK17202(X1) ),
inference(superposition,[status(thm)],[d2,c7527]) ).
cnf(d4,plain,
( sK17202(X0) = sK17200
| X0 = sK17200 ),
inference(equality_resolution,[status(thm)],[d3]) ).
cnf(d5,plain,
( X0 = sK17200
| X0 = sK17200
| hBOOL(hAPP(hAPP('c$uNatural$uOevalc'('v$uc'),sK17199),sK17200)) ),
inference(superposition,[status(thm)],[d4,c7526]) ).
cnf(d6,plain,
X0 = sK17200,
inference(resolution,[status(thm)],[c7528,d5]) ).
cnf(d7,plain,
X1 = X0,
inference(superposition,[status(thm)],[d6,d6]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[d7,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW348+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38 % Computer : n014.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sat Sep 26 15:42:47 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 89.27/11.77 % SZS status Theorem for theBenchmark.p
% 89.27/11.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------