%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SCT027-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 08:27:41 AM UTC 2026
% Result : Unsatisfiable 19.29s 19.79s
% Output : CNFRefutation 19.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 18 ( 15 unt; 0 nHn; 10 RR)
% Number of literals : 21 ( 8 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-4 aty)
% Number of variables : 29 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_COMBC__def_0,axiom,
hAPP(hAPP('c$uCOMBC'(X0,X1,X2,X3),X4),X5) = hAPP(hAPP(X0,X5),X4) ).
cnf(cls_Collect__def_0,axiom,
'c$uCollect'(X0,X1) = X0 ).
cnf(cls_Collect__mem__eq_0,axiom,
'c$uCollect'(hAPP('c$uCOMBC'('c$uin'(X0),X0,'tc$ufun'(X0,'tc$ubool'),'tc$ubool'),X1),X0) = X1 ).
cnf(cls_linear__alt_0,axiom,
hBOOL(hAPP(hAPP('c$uin'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),'v$usko$u$uArrow$u$uOrder$u$uMirabelle$u$uXlinear$u$ualt$u$u1'),'c$uArrow$u$uOrder$u$uMirabelle$uOLin')) ).
cnf(cls_that_0,axiom,
( ~ hBOOL(hAPP(hAPP('c$uin'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),X0),'c$uArrow$u$uOrder$u$uMirabelle$uOLin'))
| 'v$uthesis' ) ).
cnf(cls_conjecture_0,negated_conjecture,
~ 'v$uthesis' ).
cnf(c295,plain,
hAPP(hAPP('c$uCOMBC'(X0,X1,X2,X3),X4),X5) = hAPP(hAPP(X0,X5),X4),
inference(clausification,[status(esa)],[cls_COMBC__def_0]) ).
cnf(c326,plain,
'c$uCollect'(X0,X1) = X0,
inference(clausification,[status(esa)],[cls_Collect__def_0]) ).
cnf(c558,plain,
'c$uCollect'(hAPP('c$uCOMBC'('c$uin'(X0),X0,'tc$ufun'(X0,'tc$ubool'),'tc$ubool'),X1),X0) = X1,
inference(clausification,[status(esa)],[cls_Collect__mem__eq_0]) ).
cnf(c658,plain,
hBOOL(hAPP(hAPP('c$uin'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),'v$usko$u$uArrow$u$uOrder$u$uMirabelle$u$uXlinear$u$ualt$u$u1'),'c$uArrow$u$uOrder$u$uMirabelle$uOLin')),
inference(clausification,[status(esa)],[cls_linear__alt_0]) ).
cnf(c662,plain,
( ~ hBOOL(hAPP(hAPP('c$uin'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),X0),'c$uArrow$u$uOrder$u$uMirabelle$uOLin'))
| 'v$uthesis' ),
inference(clausification,[status(esa)],[cls_that_0]) ).
cnf(c666,plain,
~ 'v$uthesis',
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(d0,plain,
hAPP('c$uCOMBC'('c$uin'(X0),X0,'tc$ufun'(X0,'tc$ubool'),'tc$ubool'),X1) = X1,
inference(demodulation,[status(thm)],[c558,c326]) ).
cnf(d1,plain,
hAPP(X1,X2) = hAPP(hAPP('c$uin'(X0),X2),X1),
inference(superposition,[status(thm)],[d0,c295]) ).
cnf(d2,plain,
hBOOL(hAPP('c$uArrow$u$uOrder$u$uMirabelle$uOLin','v$usko$u$uArrow$u$uOrder$u$uMirabelle$u$uXlinear$u$ualt$u$u1')),
inference(demodulation,[status(thm)],[c658,d1]) ).
cnf(d3,plain,
( 'v$uthesis'
| ~ hBOOL(hAPP('c$uArrow$u$uOrder$u$uMirabelle$uOLin',X0)) ),
inference(demodulation,[status(thm)],[c662,d1]) ).
cnf(d4,plain,
~ hBOOL(hAPP('c$uArrow$u$uOrder$u$uMirabelle$uOLin',X0)),
inference(resolution,[status(thm)],[c666,d3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[d4,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SCT027-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/10.66 % Computer : n004.cluster.edu
% 0.18/10.66 % Model : x86_64 x86_64
% 0.18/10.66 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/10.66 % Memory : 8046.5625MB
% 0.18/10.66 % OS : Linux 6.8.0-71-generic
% 0.18/10.66 % CPULimit : 300
% 0.18/10.66 % WCLimit : 300
% 0.18/10.66 % DateTime : Sat Sep 26 06:20:19 UTC 2026
% 0.18/10.66 % CPUTime :
% 0.18/10.67 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.29/19.79 % SZS status Unsatisfiable for theBenchmark.p
% 19.29/19.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------