%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SCT167+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 : n015.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 08:27:52 AM UTC 2026
% Result : Theorem 35.53s 7.55s
% Output : CNFRefutation 35.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT167+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
% 0.11/0.37 % Computer : n015.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 06:38:43 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.53/7.55 % SZS status Theorem for theBenchmark.p
% 35.53/7.55 % SZS output start CNFRefutation for theBenchmark.p
% 35.53/7.55 fof(fact_UNIV__I, axiom, ! [X0] : ! [X1] : hBOOL(hAPP(hAPP('c$umember'(X1),X0),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'(X1,'tc$uHOL$uObool'))))).
% 35.53/7.55 fof(fact_subset__UNIV, axiom, ! [X0] : ! [X1] : hBOOL(hAPP('c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$ufun'(X1,'tc$uHOL$uObool'),X0),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'(X1,'tc$uHOL$uObool'))))).
% 35.53/7.55 fof(fact_inj__on__def, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (('c$uFun$uOinj$u$uon'(X3,X2,X1,X0) <=> ! [X4] : ((hBOOL(hAPP(hAPP('c$umember'(X3),X4),X0)) => ! [X5] : ((hBOOL(hAPP(hAPP('c$umember'(X3),X5),X0)) => (hAPP(X1,X4) = hAPP(X1,X5) => X4 = X5)))))))).
% 35.53/7.55 fof(fact_inj__on__id2, axiom, ! [X0] : ! [X1] : 'c$uFun$uOinj$u$uon'(X1,X1,'c$uCOMBI'(X1),X0)).
% 35.53/7.55 fof(fact_less__irrefl__nat, axiom, ! [X0] : ~hBOOL(hAPP(hAPP('c$uOrderings$uOord$u$uclass$uOless'('tc$uNat$uOnat'),X0),X0))).
% 35.53/7.55 fof(fact_finite__indi, axiom, 'c$uFinite$u$uSet$uOfinite'('tc$uArrow$u$uOrder$u$uMirabelle$uOindi','c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$uHOL$uObool')))).
% 35.53/7.55 fof(fact_rev__finite__subset, axiom, ! [X0] : ! [X1] : ! [X2] : (('c$uFinite$u$uSet$uOfinite'(X2,X1) => (hBOOL(hAPP('c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$ufun'(X2,'tc$uHOL$uObool'),X0),X1)) => 'c$uFinite$u$uSet$uOfinite'(X2,X0))))).
% 35.53/7.55 fof(fact_finite__imageD, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (('c$uFinite$u$uSet$uOfinite'(X3,'c$uSet$uOimage'(X2,X3,X1,X0)) => ('c$uFun$uOinj$u$uon'(X2,X3,X1,X0) => 'c$uFinite$u$uSet$uOfinite'(X2,X0))))).
% 35.53/7.55 fof(fact_finite__nat__set__iff__bounded, axiom, ! [X0] : (('c$uFinite$u$uSet$uOfinite'('tc$uNat$uOnat',X0) <=> ? [X1] : ! [X2] : ((hBOOL(hAPP(hAPP('c$umember'('tc$uNat$uOnat'),X2),X0)) => hBOOL(hAPP(hAPP('c$uOrderings$uOord$u$uclass$uOless'('tc$uNat$uOnat'),X2),X1))))))).
% 35.53/7.55 cnf(c121, plain, hBOOL(hAPP(hAPP('c$umember'(X0),X1),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'(X0,'tc$uHOL$uObool')))), inference(clausification, [status(esa)], [fact_UNIV__I])).
% 35.53/7.55 cnf(c192, plain, hBOOL(hAPP('c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$ufun'(X0,'tc$uHOL$uObool'),X1),'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'(X0,'tc$uHOL$uObool')))), inference(clausification, [status(esa)], [fact_subset__UNIV])).
% 35.53/7.55 cnf(c379, plain, ~'c$uFun$uOinj$u$uon'(X0,X1,X2,X3) | X4(X0,X3,X2), inference(clausification, [status(esa)], [fact_inj__on__def])).
% 35.53/7.55 cnf(c380, plain, 'c$uFun$uOinj$u$uon'(X0,X1,X2,X3) | ~X4(X0,X3,X2), inference(clausification, [status(esa)], [fact_inj__on__def])).
% 35.53/7.55 cnf(c387, plain, 'c$uFun$uOinj$u$uon'(X0,X0,'c$uCOMBI'(X0),X1), inference(clausification, [status(esa)], [fact_inj__on__id2])).
% 35.53/7.55 cnf(c423, plain, ~hBOOL(hAPP(hAPP('c$uOrderings$uOord$u$uclass$uOless'('tc$uNat$uOnat'),X0),X0)), inference(clausification, [status(esa)], [fact_less__irrefl__nat])).
% 35.53/7.55 cnf(c498, plain, 'c$uFinite$u$uSet$uOfinite'('tc$uArrow$u$uOrder$u$uMirabelle$uOindi','c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'('tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$uHOL$uObool'))), inference(clausification, [status(esa)], [fact_finite__indi])).
% 35.53/7.55 cnf(c507, plain, ~'c$uFinite$u$uSet$uOfinite'(X0,X1) | ~hBOOL(hAPP('c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$ufun'(X0,'tc$uHOL$uObool'),X2),X1)) | 'c$uFinite$u$uSet$uOfinite'(X0,X2), inference(clausification, [status(esa)], [fact_rev__finite__subset])).
% 35.53/7.55 cnf(c807, plain, ~'c$uFinite$u$uSet$uOfinite'(X0,'c$uSet$uOimage'(X1,X0,X2,X3)) | ~'c$uFun$uOinj$u$uon'(X1,X0,X2,X3) | 'c$uFinite$u$uSet$uOfinite'(X1,X3), inference(clausification, [status(esa)], [fact_finite__imageD])).
% 35.53/7.55 cnf(c830, plain, ~'c$uFinite$u$uSet$uOfinite'('tc$uNat$uOnat',X0) | ~hBOOL(hAPP(hAPP('c$umember'('tc$uNat$uOnat'),X1),X0)) | hBOOL(hAPP(hAPP('c$uOrderings$uOord$u$uclass$uOless'('tc$uNat$uOnat'),X1),sK1484(X0))), inference(clausification, [status(esa)], [fact_finite__nat__set__iff__bounded])).
% 35.53/7.55 cnf(d0, plain, 'Ts578'(X0,X1,'c$uCOMBI'(X0)), inference(resolution, [status(thm)], [c379,c387])).
% 35.53/7.55 cnf(d1, plain, ~'c$uFinite$u$uSet$uOfinite'(X0,'c$uOrderings$uOtop$u$uclass$uOtop'('tc$ufun'(X0,'tc$uHOL$uObool'))) | 'c$uFinite$u$uSet$uOfinite'(X0,X1), inference(resolution, [status(thm)], [c507,c192])).
% 35.53/7.55 cnf(d2, plain, 'c$uFinite$u$uSet$uOfinite'('tc$uArrow$u$uOrder$u$uMirabelle$uOindi',X0), inference(resolution, [status(thm)], [d1,c498])).
% 35.53/7.55 cnf(d3, plain, ~'c$uFun$uOinj$u$uon'(X0,'tc$uArrow$u$uOrder$u$uMirabelle$uOindi',X1,X2) | 'c$uFinite$u$uSet$uOfinite'(X0,X2), inference(resolution, [status(thm)], [c807,d2])).
% 35.53/7.55 cnf(d4, plain, 'c$uFinite$u$uSet$uOfinite'(X0,X1) | ~'Ts578'(X0,X1,X2), inference(resolution, [status(thm)], [d3,c380])).
% 35.53/7.55 cnf(d5, plain, 'c$uFinite$u$uSet$uOfinite'(X0,X1), inference(resolution, [status(thm)], [d4,d0])).
% 35.53/7.55 cnf(d6, plain, ~hBOOL(hAPP(hAPP('c$umember'('tc$uNat$uOnat'),X0),X1)) | hBOOL(hAPP(hAPP('c$uOrderings$uOord$u$uclass$uOless'('tc$uNat$uOnat'),X0),sK1484(X1))), inference(resolution, [status(thm)], [d5,c830])).
% 35.53/7.55 cnf(d7, plain, ~hBOOL(hAPP(hAPP('c$umember'('tc$uNat$uOnat'),sK1484(X0)),X0)), inference(resolution, [status(thm)], [d6,c423])).
% 35.53/7.55 cnf(d8, plain, $false, inference(resolution, [status(thm)], [d7,c121])).
% 35.53/7.55 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------