%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SCT088-1 : 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 : n016.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 08:27:46 AM UTC 2026
% Result : Unsatisfiable 19.79s 26.81s
% Output : CNFRefutation 19.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 7 unt; 2 nHn; 9 RR)
% Number of literals : 15 ( 5 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 7 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_third__alt_0,axiom,
( X0 = X1
| 'c$uList$uOdistinct'('c$uList$uOlist$uOCons'(X0,'c$uList$uOlist$uOCons'(X1,'c$uList$uOlist$uOCons'('v$usko$u$uArrow$u$uOrder$u$uMirabelle$u$uXthird$u$ualt$u$u1'(X0,X1),'c$uList$uOlist$uONil'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uArrow$u$uOrder$u$uMirabelle$uOalt') ) ).
cnf(cls_that_0,axiom,
( ~ 'c$uList$uOdistinct'('c$uList$uOlist$uOCons'('v$uc','c$uList$uOlist$uOCons'('v$ud','c$uList$uOlist$uOCons'(X0,'c$uList$uOlist$uONil'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uArrow$u$uOrder$u$uMirabelle$uOalt')
| 'v$uthesis' ) ).
cnf(cls_CHAINED_0_02,axiom,
'v$uc' != 'v$ud' ).
cnf(cls_conjecture_0,negated_conjecture,
~ 'v$uthesis' ).
cnf(c595,plain,
( X0 = X1
| 'c$uList$uOdistinct'('c$uList$uOlist$uOCons'(X0,'c$uList$uOlist$uOCons'(X1,'c$uList$uOlist$uOCons'('v$usko$u$uArrow$u$uOrder$u$uMirabelle$u$uXthird$u$ualt$u$u1'(X0,X1),'c$uList$uOlist$uONil'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uArrow$u$uOrder$u$uMirabelle$uOalt') ),
inference(clausification,[status(esa)],[cls_third__alt_0]) ).
cnf(c598,plain,
( ~ 'c$uList$uOdistinct'('c$uList$uOlist$uOCons'('v$uc','c$uList$uOlist$uOCons'('v$ud','c$uList$uOlist$uOCons'(X0,'c$uList$uOlist$uONil'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uArrow$u$uOrder$u$uMirabelle$uOalt')
| 'v$uthesis' ),
inference(clausification,[status(esa)],[cls_that_0]) ).
cnf(c608,plain,
'v$uc' != 'v$ud',
inference(clausification,[status(esa)],[cls_CHAINED_0_02]) ).
cnf(c610,plain,
~ 'v$uthesis',
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(d0,plain,
~ 'c$uList$uOdistinct'('c$uList$uOlist$uOCons'('v$uc','c$uList$uOlist$uOCons'('v$ud','c$uList$uOlist$uOCons'(X0,'c$uList$uOlist$uONil'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),
inference(resolution,[status(thm)],[c610,c598]) ).
cnf(d1,plain,
'v$uc' = 'v$ud',
inference(resolution,[status(thm)],[d0,c595]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c608,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT088-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/20.43 % CPULimit : 300
% 0.09/20.43 % WCLimit : 300
% 0.09/20.43 % DateTime : Sat Sep 26 06:26:33 UTC 2026
% 0.09/20.44 % CPUTime :
% 0.09/20.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.79/26.81 % SZS status Unsatisfiable for theBenchmark.p
% 19.79/26.81 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------