%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEV641+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 08:49:00 AM UTC 2026
% Result : Theorem 134.87s 23.68s
% Output : CNFRefutation 134.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV641+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.39 % Computer : n017.cluster.edu
% 0.10/5.39 % Model : x86_64 x86_64
% 0.10/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.39 % Memory : 8046.5625MB
% 0.10/5.39 % OS : Linux 6.8.0-71-generic
% 0.10/5.39 % CPULimit : 300
% 0.10/5.39 % WCLimit : 300
% 0.10/5.39 % DateTime : Sat Sep 26 11:21:42 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.10/5.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 134.87/23.68 % SZS status Theorem for theBenchmark.p
% 134.87/23.68 % SZS output start CNFRefutation for theBenchmark.p
% 134.87/23.68 fof($_def_Coq.Lists.List.incl, axiom, ! [X0] : ! [X1] : ! [X2] : ((p('cCoq$u2eLists$u2eList$u2eincl$u$u$u24a3'(X0,X1,X2)) <=> ! [X3] : ((t(X3,X0) => (p('cCoq$u2eLists$u2eList$u2eIn$u$u$u24a3'(X0,X3,X1)) => p('cCoq$u2eLists$u2eList$u2eIn$u$u$u24a3'(X0,X3,X2)))))))).
% 134.87/23.68 fof($_type_1, axiom, ! [X0] : (('c$u24$u$utype$u$u1$u$u$u24t'(X0) <=> ! [X1] : (('cX$u$u$u24t'(X1) => 'cCoq$u2eInit$u2eDatatypes$u2ebool$u$u$u24t'(happ(X0,X1))))))).
% 134.87/23.68 fof($_type_193, axiom, ! [X0] : ! [X1] : (('c$u24$u$utype$u$u193$u$u$u24t'(X0,X1) <=> ! [X2] : ((t(X2,X0) => 'cCoq$u2eInit$u2eDatatypes$u2ebool$u$u$u24t'(happ(X1,X2))))))).
% 134.87/23.68 fof($_typeof_X, axiom, 'cType$u$u$u24t'(cX)).
% 134.87/23.68 fof($_typeof_l, axiom, 'cCoq$u2eInit$u2eDatatypes$u2elist$u$u$u24t'(cX,cl)).
% 134.87/23.68 fof($_typeof_p, axiom, 'c$u24$u$utype$u$u1$u$u$u24t'(cp)).
% 134.87/23.68 fof(Coq.Lists.List.filter_In, axiom, ! [X0] : (('cType$u$u$u24t'(X0) => ! [X1] : (('c$u24$u$utype$u$u193$u$u$u24t'(X0,X1) => ! [X2] : ((t(X2,X0) => ! [X3] : (('cCoq$u2eInit$u2eDatatypes$u2elist$u$u$u24t'(X0,X3) => (p('cCoq$u2eLists$u2eList$u2eIn$u$u$u24a3'(X0,X2,'cCoq$u2eLists$u2eList$u2efilter$u$u$u24a3'(X0,X1,X3))) <=> (p('cCoq$u2eLists$u2eList$u2eIn$u$u$u24a3'(X0,X2,X3)) & happ(X1,X2) = 'cCoq$u2eInit$u2eDatatypes$u2etrue'))))))))))).
% 134.87/23.68 fof($tdef_X, axiom, ! [X0] : (('cX$u$u$u24t'(X0) <=> t(X0,cX)))).
% 134.87/23.68 fof(_HAMMER_GOAL, conjecture, p('cCoq$u2eLists$u2eList$u2eincl$u$u$u24a3'(cX,'cCoq$u2eLists$u2eList$u2efilter$u$u$u24a3'(cX,cp,cl),cl))).
% 134.87/23.68 fof(negated_conjecture, negated_conjecture, ~p('cCoq$u2eLists$u2eList$u2eincl$u$u$u24a3'(cX,'cCoq$u2eLists$u2eList$u2efilter$u$u$u24a3'(cX,cp,cl),cl)), inference(negate_conjecture, [status(cth)], [_HAMMER_GOAL])).
% 134.87/23.68 cnf(c30, plain, p('cCoq$u2eLists$u2eList$u2eincl$u$u$u24a3'(X0,X1,X2)) | t(sK28(X0,X1,X2),X0), inference(clausification, [status(esa)], [$_def_Coq.Lists.List.incl])).
% 134.87/23.68 cnf(c31, plain, p('cCoq$u2eLists$u2eList$u2eincl$u$u$u24a3'(X0,X1,X2)) | p('cCoq$u2eLists$u2eList$u2eIn$u$u$u24a3'(X0,sK28(X0,X1,X2),X1)), inference(clausification, [status(esa)], [$_def_Coq.Lists.List.incl])).
% 134.87/23.68 cnf(c32, plain, p('cCoq$u2eLists$u2eList$u2eincl$u$u$u24a3'(X0,X1,X2)) | ~p('cCoq$u2eLists$u2eList$u2eIn$u$u$u24a3'(X0,sK28(X0,X1,X2),X2)), inference(clausification, [status(esa)], [$_def_Coq.Lists.List.incl])).
% 134.87/23.68 cnf(c101, plain, ~'c$u24$u$utype$u$u1$u$u$u24t'(X0) | ~'cX$u$u$u24t'(X1) | 'cCoq$u2eInit$u2eDatatypes$u2ebool$u$u$u24t'(happ(X0,X1)), inference(clausification, [status(esa)], [$_type_1])).
% 134.87/23.68 cnf(c105, plain, 'c$u24$u$utype$u$u193$u$u$u24t'(X0,X1) | t(sK103(X0,X1),X0), inference(clausification, [status(esa)], [$_type_193])).
% 134.87/23.68 cnf(c106, plain, 'c$u24$u$utype$u$u193$u$u$u24t'(X0,X1) | ~'cCoq$u2eInit$u2eDatatypes$u2ebool$u$u$u24t'(happ(X1,sK103(X0,X1))), inference(clausification, [status(esa)], [$_type_193])).
% 134.87/23.68 cnf(c120, plain, 'cType$u$u$u24t'(cX), inference(clausification, [status(esa)], [$_typeof_X])).
% 134.87/23.68 cnf(c121, plain, 'cCoq$u2eInit$u2eDatatypes$u2elist$u$u$u24t'(cX,cl), inference(clausification, [status(esa)], [$_typeof_l])).
% 134.87/23.68 cnf(c122, plain, 'c$u24$u$utype$u$u1$u$u$u24t'(cp), inference(clausification, [status(esa)], [$_typeof_p])).
% 134.87/23.68 cnf(c270, plain, p('cCoq$u2eLists$u2eList$u2eIn$u$u$u24a3'(X0,X1,X2)) | ~'cCoq$u2eInit$u2eDatatypes$u2elist$u$u$u24t'(X0,X2) | ~'cType$u$u$u24t'(X0) | ~t(X1,X0) | ~'c$u24$u$utype$u$u193$u$u$u24t'(X0,X3) | ~p('cCoq$u2eLists$u2eList$u2eIn$u$u$u24a3'(X0,X1,'cCoq$u2eLists$u2eList$u2efilter$u$u$u24a3'(X0,X3,X2))), inference(clausification, [status(esa)], [Coq.Lists.List.filter_In])).
% 134.87/23.68 cnf(c512, plain, 'cX$u$u$u24t'(X0) | ~t(X0,cX), inference(clausification, [status(esa)], [$tdef_X])).
% 134.87/23.68 cnf(c513, plain, ~p('cCoq$u2eLists$u2eList$u2eincl$u$u$u24a3'(cX,'cCoq$u2eLists$u2eList$u2efilter$u$u$u24a3'(cX,cp,cl),cl)), inference(clausification, [status(esa)], [negated_conjecture])).
% 134.87/23.68 cnf(d0, plain, 'c$u24$u$utype$u$u193$u$u$u24t'(cX,X0) | 'cX$u$u$u24t'(sK103(cX,X0)), inference(resolution, [status(thm)], [c105,c512])).
% 134.87/23.68 cnf(d1, plain, 'c$u24$u$utype$u$u193$u$u$u24t'(X0,X1) | ~'cX$u$u$u24t'(sK103(X0,X1)) | ~'c$u24$u$utype$u$u1$u$u$u24t'(X1), inference(resolution, [status(thm)], [c106,c101])).
% 134.87/23.68 cnf(d2, plain, 'c$u24$u$utype$u$u193$u$u$u24t'(cX,X0) | ~'c$u24$u$utype$u$u1$u$u$u24t'(X0) | 'c$u24$u$utype$u$u193$u$u$u24t'(cX,X0), inference(resolution, [status(thm)], [d1,d0])).
% 134.87/23.68 cnf(d3, plain, ~'cCoq$u2eInit$u2eDatatypes$u2elist$u$u$u24t'(X0,X1) | ~'cType$u$u$u24t'(X0) | ~t(sK28(X0,'cCoq$u2eLists$u2eList$u2efilter$u$u$u24a3'(X0,X2,X1),X3),X0) | ~'c$u24$u$utype$u$u193$u$u$u24t'(X0,X2) | p('cCoq$u2eLists$u2eList$u2eIn$u$u$u24a3'(X0,sK28(X0,'cCoq$u2eLists$u2eList$u2efilter$u$u$u24a3'(X0,X2,X1),X3),X1)) | p('cCoq$u2eLists$u2eList$u2eincl$u$u$u24a3'(X0,'cCoq$u2eLists$u2eList$u2efilter$u$u$u24a3'(X0,X2,X1),X3)), inference(resolution, [status(thm)], [c270,c31])).
% 134.87/23.68 cnf(d4, plain, p('cCoq$u2eLists$u2eList$u2eincl$u$u$u24a3'(X0,'cCoq$u2eLists$u2eList$u2efilter$u$u$u24a3'(X0,X1,X2),X3)) | ~'cCoq$u2eInit$u2eDatatypes$u2elist$u$u$u24t'(X0,X2) | ~'cType$u$u$u24t'(X0) | ~'c$u24$u$utype$u$u193$u$u$u24t'(X0,X1) | p('cCoq$u2eLists$u2eList$u2eincl$u$u$u24a3'(X0,'cCoq$u2eLists$u2eList$u2efilter$u$u$u24a3'(X0,X1,X2),X3)) | p('cCoq$u2eLists$u2eList$u2eIn$u$u$u24a3'(X0,sK28(X0,'cCoq$u2eLists$u2eList$u2efilter$u$u$u24a3'(X0,X1,X2),X3),X2)), inference(resolution, [status(thm)], [c30,d3])).
% 134.87/23.68 cnf(d5, plain, ~'cCoq$u2eInit$u2eDatatypes$u2elist$u$u$u24t'(X0,X1) | ~'cType$u$u$u24t'(X0) | ~'c$u24$u$utype$u$u193$u$u$u24t'(X0,X2) | p('cCoq$u2eLists$u2eList$u2eincl$u$u$u24a3'(X0,'cCoq$u2eLists$u2eList$u2efilter$u$u$u24a3'(X0,X2,X1),X1)) | p('cCoq$u2eLists$u2eList$u2eincl$u$u$u24a3'(X0,'cCoq$u2eLists$u2eList$u2efilter$u$u$u24a3'(X0,X2,X1),X1)), inference(resolution, [status(thm)], [d4,c32])).
% 134.87/23.68 cnf(d6, plain, ~'cCoq$u2eInit$u2eDatatypes$u2elist$u$u$u24t'(cX,cl) | ~'cType$u$u$u24t'(cX) | ~'c$u24$u$utype$u$u193$u$u$u24t'(cX,cp), inference(resolution, [status(thm)], [d5,c513])).
% 134.87/23.68 cnf(d7, plain, ~'cCoq$u2eInit$u2eDatatypes$u2elist$u$u$u24t'(cX,cl) | ~'c$u24$u$utype$u$u193$u$u$u24t'(cX,cp), inference(resolution, [status(thm)], [c120,d6])).
% 134.87/23.68 cnf(d8, plain, ~'c$u24$u$utype$u$u193$u$u$u24t'(cX,cp), inference(resolution, [status(thm)], [c121,d7])).
% 134.87/23.68 cnf(d9, plain, ~'c$u24$u$utype$u$u1$u$u$u24t'(cp), inference(resolution, [status(thm)], [d8,d2])).
% 134.87/23.68 cnf(d10, plain, $false, inference(resolution, [status(thm)], [c122,d9])).
% 134.87/23.68 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------