%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SCT126+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 : 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 08:27:49 AM UTC 2026
% Result : Theorem 51.14s 7.19s
% Output : CNFRefutation 51.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 9 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-4 aty)
% Number of variables : 13 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact__096Q_A_058_AProf_096,axiom,
hBOOL(hAPP(hAPP('c$umember'('tc$ufun'('tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uHOL$uObool'))),'v$uQ'),'c$uArrow$u$uOrder$u$uMirabelle$uOProf')) ).
fof(fact_assms_I1_J,axiom,
hBOOL(hAPP(hAPP('c$umember'('tc$ufun'('tc$ufun'('tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uHOL$uObool')),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uHOL$uObool'))),'v$uF'),'c$uFuncSet$uOPi'('tc$ufun'('tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uHOL$uObool')),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uHOL$uObool'),'c$uArrow$u$uOrder$u$uMirabelle$uOProf','c$uCOMBK'('tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uHOL$uObool'),'tc$uHOL$uObool'),'tc$ufun'('tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uHOL$uObool')),'c$uArrow$u$uOrder$u$uMirabelle$uOLin')))) ).
fof(fact_funcset__mem,axiom,
! [X0,X1,X2,X3,X4,X5] :
( hBOOL(hAPP(hAPP('c$umember'('tc$ufun'(X5,X4)),X3),'c$uFuncSet$uOPi'(X5,X4,X2,'c$uCOMBK'('tc$ufun'(X4,'tc$uHOL$uObool'),X5,X1))))
=> ( hBOOL(hAPP(hAPP('c$umember'(X5),X0),X2))
=> hBOOL(hAPP(hAPP('c$umember'(X4),hAPP(X3,X0)),X1)) ) ) ).
fof(conj_0,conjecture,
hBOOL(hAPP(hAPP('c$umember'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uHOL$uObool')),hAPP('v$uF','v$uQ')),'c$uArrow$u$uOrder$u$uMirabelle$uOLin')) ).
fof(negated_conjecture,negated_conjecture,
~ hBOOL(hAPP(hAPP('c$umember'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uHOL$uObool')),hAPP('v$uF','v$uQ')),'c$uArrow$u$uOrder$u$uMirabelle$uOLin')),
inference(negate_conjecture,[status(cth)],[conj_0]) ).
cnf(c1,plain,
hBOOL(hAPP(hAPP('c$umember'('tc$ufun'('tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uHOL$uObool'))),'v$uQ'),'c$uArrow$u$uOrder$u$uMirabelle$uOProf')),
inference(clausification,[status(esa)],[fact__096Q_A_058_AProf_096]) ).
cnf(c17,plain,
hBOOL(hAPP(hAPP('c$umember'('tc$ufun'('tc$ufun'('tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uHOL$uObool')),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uHOL$uObool'))),'v$uF'),'c$uFuncSet$uOPi'('tc$ufun'('tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uHOL$uObool')),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uHOL$uObool'),'c$uArrow$u$uOrder$u$uMirabelle$uOProf','c$uCOMBK'('tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uHOL$uObool'),'tc$uHOL$uObool'),'tc$ufun'('tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uHOL$uObool')),'c$uArrow$u$uOrder$u$uMirabelle$uOLin')))),
inference(clausification,[status(esa)],[fact_assms_I1_J]) ).
cnf(c27,plain,
( hBOOL(hAPP(hAPP('c$umember'(X1),hAPP(X2,X5)),X4))
| ~ hBOOL(hAPP(hAPP('c$umember'(X0),X5),X3))
| ~ hBOOL(hAPP(hAPP('c$umember'('tc$ufun'(X0,X1)),X2),'c$uFuncSet$uOPi'(X0,X1,X3,'c$uCOMBK'('tc$ufun'(X1,'tc$uHOL$uObool'),X0,X4)))) ),
inference(clausification,[status(esa)],[fact_funcset__mem]) ).
cnf(c69,plain,
~ hBOOL(hAPP(hAPP('c$umember'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uHOL$uObool')),hAPP('v$uF','v$uQ')),'c$uArrow$u$uOrder$u$uMirabelle$uOLin')),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ hBOOL(hAPP(hAPP('c$umember'('tc$ufun'('tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uHOL$uObool'))),X0),'c$uArrow$u$uOrder$u$uMirabelle$uOProf'))
| hBOOL(hAPP(hAPP('c$umember'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uHOL$uObool')),hAPP('v$uF',X0)),'c$uArrow$u$uOrder$u$uMirabelle$uOLin')) ),
inference(resolution,[status(thm)],[c27,c17]) ).
cnf(d1,plain,
hBOOL(hAPP(hAPP('c$umember'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$uHOL$uObool')),hAPP('v$uF','v$uQ')),'c$uArrow$u$uOrder$u$uMirabelle$uOLin')),
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c69,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT126+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.58 % Computer : n004.cluster.edu
% 0.09/0.58 % Model : x86_64 x86_64
% 0.09/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.58 % Memory : 8046.5625MB
% 0.09/0.58 % OS : Linux 6.8.0-71-generic
% 0.09/0.58 % CPULimit : 300
% 0.09/0.58 % WCLimit : 300
% 0.09/0.58 % DateTime : Sat Sep 26 06:30:53 UTC 2026
% 0.09/0.58 % CPUTime :
% 0.09/0.58 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 51.14/7.19 % SZS status Theorem for theBenchmark.p
% 51.14/7.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------