%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SCT131+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 20.81s 11.87s
% Output : CNFRefutation 20.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 11 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 18 ( 9 ~; 6 |; 0 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-3 aty)
% Number of variables : 13 ( 1 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_u,axiom,
'c$uArrow$u$uOrder$u$uMirabelle$uOunanimity'('v$uF') ).
fof(fact__096_B_Bi_O_Ab_A_060_092_060_094bsub_062Q_Ai_092_060_094esub_062_Ab_H_096,axiom,
! [X0] : hBOOL(hAPP(hAPP('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt')),hAPP(hAPP('c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'v$ub'),'v$ub$uH')),hAPP('v$uQ',X0))) ).
fof(fact__096Q_A_058_AProf_096,axiom,
hBOOL(hAPP(hAPP('c$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_unanimity__def,axiom,
! [X0] :
( 'c$uArrow$u$uOrder$u$uMirabelle$uOunanimity'(X0)
<=> ! [X1] :
( 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'))),X1),'c$uArrow$u$uOrder$u$uMirabelle$uOProf'))
=> ! [X2,X3] :
( ! [X4] : hBOOL(hAPP(hAPP('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt')),hAPP(hAPP('c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),X2),X3)),hAPP(X1,X4)))
=> hBOOL(hAPP(hAPP('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt')),hAPP(hAPP('c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),X2),X3)),hAPP(X0,X1))) ) ) ) ).
fof(conj_0,conjecture,
hBOOL(hAPP(hAPP('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt')),hAPP(hAPP('c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'v$ub'),'v$ub$uH')),hAPP('v$uF','v$uQ'))) ).
fof(negated_conjecture,negated_conjecture,
~ hBOOL(hAPP(hAPP('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt')),hAPP(hAPP('c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'v$ub'),'v$ub$uH')),hAPP('v$uF','v$uQ'))),
inference(negate_conjecture,[status(cth)],[conj_0]) ).
cnf(c1,plain,
'c$uArrow$u$uOrder$u$uMirabelle$uOunanimity'('v$uF'),
inference(clausification,[status(esa)],[fact_u]) ).
cnf(c5,plain,
hBOOL(hAPP(hAPP('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt')),hAPP(hAPP('c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'v$ub'),'v$ub$uH')),hAPP('v$uQ',X0))),
inference(clausification,[status(esa)],[fact__096_B_Bi_O_Ab_A_060_092_060_094bsub_062Q_Ai_092_060_094esub_062_Ab_H_096]) ).
cnf(c58,plain,
hBOOL(hAPP(hAPP('c$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(c113,plain,
( hBOOL(hAPP(hAPP('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt')),hAPP(hAPP('c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),X2),X3)),hAPP(X0,X1)))
| ~ hBOOL(hAPP(hAPP('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt')),hAPP(hAPP('c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),X2),X3)),hAPP(X1,sK134(X1,X2,X3))))
| ~ 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'))),X1),'c$uArrow$u$uOrder$u$uMirabelle$uOProf'))
| ~ 'c$uArrow$u$uOrder$u$uMirabelle$uOunanimity'(X0) ),
inference(clausification,[status(esa)],[fact_unanimity__def]) ).
cnf(c834,plain,
~ hBOOL(hAPP(hAPP('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt')),hAPP(hAPP('c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'v$ub'),'v$ub$uH')),hAPP('v$uF','v$uQ'))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ hBOOL(hAPP(hAPP('c$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$uObool'))),'v$uQ'),'c$uArrow$u$uOrder$u$uMirabelle$uOProf'))
| hBOOL(hAPP(hAPP('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt')),hAPP(hAPP('c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'v$ub'),'v$ub$uH')),hAPP(X0,'v$uQ')))
| ~ 'c$uArrow$u$uOrder$u$uMirabelle$uOunanimity'(X0) ),
inference(resolution,[status(thm)],[c113,c5]) ).
cnf(d1,plain,
( hBOOL(hAPP(hAPP('c$umember'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt')),hAPP(hAPP('c$uProduct$u$uType$uOPair'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'v$ub'),'v$ub$uH')),hAPP(X0,'v$uQ')))
| ~ 'c$uArrow$u$uOrder$u$uMirabelle$uOunanimity'(X0) ),
inference(resolution,[status(thm)],[c58,d0]) ).
cnf(d2,plain,
~ 'c$uArrow$u$uOrder$u$uMirabelle$uOunanimity'('v$uF'),
inference(resolution,[status(thm)],[d1,c834]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c1,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SCT131+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.40 % Computer : n005.cluster.edu
% 0.17/0.40 % Model : x86_64 x86_64
% 0.17/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.40 % Memory : 8046.5625MB
% 0.17/0.40 % OS : Linux 6.8.0-71-generic
% 0.17/0.40 % CPULimit : 300
% 0.17/0.40 % WCLimit : 300
% 0.17/0.40 % DateTime : Sat Sep 26 06:31:32 UTC 2026
% 0.17/0.40 % CPUTime :
% 0.17/0.40 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.81/11.87 % SZS status Theorem for theBenchmark.p
% 20.81/11.87 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------