%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV864-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 09:04:50 AM UTC 2026
% Result : Unsatisfiable 18.75s 17.88s
% Output : CNFRefutation 18.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of clauses : 21 ( 8 unt; 7 nHn; 13 RR)
% Number of literals : 41 ( 26 equ; 15 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 23 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_com__det_0,axiom,
( ~ 'c$uNatural$uOevalc'(X2,X3,X1)
| ~ 'c$uNatural$uOevalc'(X2,X3,X0)
| X0 = X1 ) ).
cnf(cls_state__not__singleton__def__raw_0,axiom,
( ~ 'c$uHoare$u$uMirabelle$uOstate$u$unot$u$usingleton'
| 'v$usko$u$uHoare$u$uMirabelle$u$uXstate$u$unot$u$usingleton$u$udef$u$uraw$u$u1' != 'v$usko$u$uHoare$u$uMirabelle$u$uXstate$u$unot$u$usingleton$u$udef$u$uraw$u$u2' ) ).
cnf(cls_conjecture_0,negated_conjecture,
'c$uHoare$u$uMirabelle$uOstate$u$unot$u$usingleton' ).
cnf(cls_conjecture_1,negated_conjecture,
~ 'c$uNatural$uOevalc'('v$uc','v$ux','v$uxa') ).
cnf(cls_conjecture_2,negated_conjecture,
( 'c$uNatural$uOevalc'('v$uc','v$ux','v$uxb'(X0))
| X0 = 'v$uxa' ) ).
cnf(cls_conjecture_3,negated_conjecture,
( X0 = 'v$uxa'
| X0 != 'v$uxb'(X0) ) ).
cnf(c14,plain,
( ~ 'c$uNatural$uOevalc'(X2,X3,X1)
| ~ 'c$uNatural$uOevalc'(X2,X3,X0)
| X0 = X1 ),
inference(clausification,[status(esa)],[cls_com__det_0]) ).
cnf(c17,plain,
( ~ 'c$uHoare$u$uMirabelle$uOstate$u$unot$u$usingleton'
| 'v$usko$u$uHoare$u$uMirabelle$u$uXstate$u$unot$u$usingleton$u$udef$u$uraw$u$u1' != 'v$usko$u$uHoare$u$uMirabelle$u$uXstate$u$unot$u$usingleton$u$udef$u$uraw$u$u2' ),
inference(clausification,[status(esa)],[cls_state__not__singleton__def__raw_0]) ).
cnf(c25,plain,
'c$uHoare$u$uMirabelle$uOstate$u$unot$u$usingleton',
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c26,plain,
~ 'c$uNatural$uOevalc'('v$uc','v$ux','v$uxa'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c27,plain,
( 'c$uNatural$uOevalc'('v$uc','v$ux','v$uxb'(X0))
| X0 = 'v$uxa' ),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c28,plain,
( X0 = 'v$uxa'
| X0 != 'v$uxb'(X0) ),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(d0,plain,
'v$usko$u$uHoare$u$uMirabelle$u$uXstate$u$unot$u$usingleton$u$udef$u$uraw$u$u1' != 'v$usko$u$uHoare$u$uMirabelle$u$uXstate$u$unot$u$usingleton$u$udef$u$uraw$u$u2',
inference(resolution,[status(thm)],[c25,c17]) ).
cnf(d1,plain,
( ~ 'c$uNatural$uOevalc'('v$uc','v$ux',X1)
| 'v$uxb'(X0) = X1
| X0 = 'v$uxa' ),
inference(resolution,[status(thm)],[c27,c14]) ).
cnf(d2,plain,
( X1 = 'v$uxa'
| 'v$uxb'(X0) = 'v$uxb'(X1)
| X0 = 'v$uxa' ),
inference(resolution,[status(thm)],[d1,c27]) ).
cnf(d3,plain,
( X0 = 'v$uxa'
| X1 = 'v$uxa'
| X0 = 'v$uxa'
| X0 != 'v$uxb'(X1) ),
inference(superposition,[status(thm)],[d2,c28]) ).
cnf(d4,plain,
( 'v$uxb'(X0) = 'v$uxa'
| X0 = 'v$uxa' ),
inference(equality_resolution,[status(thm)],[d3]) ).
cnf(d5,plain,
( X0 = 'v$uxa'
| X0 = 'v$uxa'
| 'c$uNatural$uOevalc'('v$uc','v$ux','v$uxa') ),
inference(superposition,[status(thm)],[d4,c27]) ).
cnf(d6,plain,
X0 = 'v$uxa',
inference(resolution,[status(thm)],[c26,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 : SWV864-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/15.41 % Computer : n002.cluster.edu
% 0.13/15.41 % Model : x86_64 x86_64
% 0.13/15.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/15.41 % Memory : 8046.5625MB
% 0.13/15.41 % OS : Linux 6.8.0-71-generic
% 0.13/15.41 % CPULimit : 300
% 0.13/15.41 % WCLimit : 300
% 0.13/15.41 % DateTime : Sat Sep 26 15:07:51 UTC 2026
% 0.13/15.41 % CPUTime :
% 0.13/15.41 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.75/17.88 % SZS status Unsatisfiable for theBenchmark.p
% 18.75/17.88 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------