%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEV646+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 74.10s 9.86s
% Output : CNFRefutation 74.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV646+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n002.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 11:33:20 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 74.10/9.86 % SZS status Theorem for theBenchmark.p
% 74.10/9.86 % SZS output start CNFRefutation for theBenchmark.p
% 74.10/9.86 fof($_def_IntMap.Fset.FSet, axiom, ! [X0] : (('cIntMap$u2eFset$u2eFSet$u$u$u24t'(X0) <=> 'cIntMap$u2eMap$u2eMap$u$u$u24t'('cCoq$u2eInit$u2eDatatypes$u2eunit',X0)))).
% 74.10/9.86 fof($_def_IntMap.Fset.FSetUnion, axiom, ! [X0] : ! [X1] : 'cIntMap$u2eFset$u2eFSetUnion$u$u$u24a2'(X0,X1) = 'cIntMap$u2eMap$u2eMapMerge$u$u$u24a3'('cCoq$u2eInit$u2eDatatypes$u2eunit',X0,X1)).
% 74.10/9.86 fof($_typeof_Coq.Init.Datatypes.unit, axiom, 'cType$u$u$u24t'('cCoq$u2eInit$u2eDatatypes$u2eunit')).
% 74.10/9.86 fof(Mapaxioms.MapMerge_assoc, axiom, ! [X0] : (('cType$u$u$u24t'(X0) => ! [X1] : (('cIntMap$u2eMap$u2eMap$u$u$u24t'(X0,X1) => ! [X2] : (('cIntMap$u2eMap$u2eMap$u$u$u24t'(X0,X2) => ! [X3] : (('cIntMap$u2eMap$u2eMap$u$u$u24t'(X0,X3) => 'cMapaxioms$u2eeqmap$u$u$u24a3'(X0,'cIntMap$u2eMap$u2eMapMerge$u$u$u24a3'(X0,'cIntMap$u2eMap$u2eMapMerge$u$u$u24a3'(X0,X1,X2),X3),'cIntMap$u2eMap$u2eMapMerge$u$u$u24a3'(X0,X1,'cIntMap$u2eMap$u2eMapMerge$u$u$u24a3'(X0,X2,X3)))))))))))).
% 74.10/9.86 fof(_HAMMER_GOAL, conjecture, ! [X0] : (('cIntMap$u2eFset$u2eFSet$u$u$u24t'(X0) => ! [X1] : (('cIntMap$u2eFset$u2eFSet$u$u$u24t'(X1) => ! [X2] : (('cIntMap$u2eFset$u2eFSet$u$u$u24t'(X2) => 'cMapaxioms$u2eeqmap$u$u$u24a3'('cCoq$u2eInit$u2eDatatypes$u2eunit','cIntMap$u2eFset$u2eFSetUnion$u$u$u24a2'('cIntMap$u2eFset$u2eFSetUnion$u$u$u24a2'(X0,X1),X2),'cIntMap$u2eFset$u2eFSetUnion$u$u$u24a2'(X0,'cIntMap$u2eFset$u2eFSetUnion$u$u$u24a2'(X1,X2)))))))))).
% 74.10/9.86 fof(negated_conjecture, negated_conjecture, ~! [X0] : (('cIntMap$u2eFset$u2eFSet$u$u$u24t'(X0) => ! [X1] : (('cIntMap$u2eFset$u2eFSet$u$u$u24t'(X1) => ! [X2] : (('cIntMap$u2eFset$u2eFSet$u$u$u24t'(X2) => 'cMapaxioms$u2eeqmap$u$u$u24a3'('cCoq$u2eInit$u2eDatatypes$u2eunit','cIntMap$u2eFset$u2eFSetUnion$u$u$u24a2'('cIntMap$u2eFset$u2eFSetUnion$u$u$u24a2'(X0,X1),X2),'cIntMap$u2eFset$u2eFSetUnion$u$u$u24a2'(X0,'cIntMap$u2eFset$u2eFSetUnion$u$u$u24a2'(X1,X2))))))))), inference(negate_conjecture, [status(cth)], [_HAMMER_GOAL])).
% 74.10/9.86 cnf(c4, plain, ~'cIntMap$u2eFset$u2eFSet$u$u$u24t'(X0) | 'cIntMap$u2eMap$u2eMap$u$u$u24t'('cCoq$u2eInit$u2eDatatypes$u2eunit',X0), inference(clausification, [status(esa)], [$_def_IntMap.Fset.FSet])).
% 74.10/9.86 cnf(c6, plain, 'cIntMap$u2eFset$u2eFSetUnion$u$u$u24a2'(X0,X1) = 'cIntMap$u2eMap$u2eMapMerge$u$u$u24a3'('cCoq$u2eInit$u2eDatatypes$u2eunit',X0,X1), inference(clausification, [status(esa)], [$_def_IntMap.Fset.FSetUnion])).
% 74.10/9.86 cnf(c56, plain, 'cType$u$u$u24t'('cCoq$u2eInit$u2eDatatypes$u2eunit'), inference(clausification, [status(esa)], [$_typeof_Coq.Init.Datatypes.unit])).
% 74.10/9.86 cnf(c109, plain, ~'cIntMap$u2eMap$u2eMap$u$u$u24t'(X0,X1) | ~'cType$u$u$u24t'(X0) | ~'cIntMap$u2eMap$u2eMap$u$u$u24t'(X0,X2) | 'cMapaxioms$u2eeqmap$u$u$u24a3'(X0,'cIntMap$u2eMap$u2eMapMerge$u$u$u24a3'(X0,'cIntMap$u2eMap$u2eMapMerge$u$u$u24a3'(X0,X3,X1),X2),'cIntMap$u2eMap$u2eMapMerge$u$u$u24a3'(X0,X3,'cIntMap$u2eMap$u2eMapMerge$u$u$u24a3'(X0,X1,X2))) | ~'cIntMap$u2eMap$u2eMap$u$u$u24t'(X0,X3), inference(clausification, [status(esa)], [Mapaxioms.MapMerge_assoc])).
% 74.10/9.86 cnf(c124, plain, 'cIntMap$u2eFset$u2eFSet$u$u$u24t'(sK293), inference(clausification, [status(esa)], [negated_conjecture])).
% 74.10/9.86 cnf(c125, plain, 'cIntMap$u2eFset$u2eFSet$u$u$u24t'(sK294), inference(clausification, [status(esa)], [negated_conjecture])).
% 74.10/9.86 cnf(c126, plain, 'cIntMap$u2eFset$u2eFSet$u$u$u24t'(sK295), inference(clausification, [status(esa)], [negated_conjecture])).
% 74.10/9.86 cnf(c127, plain, ~'cMapaxioms$u2eeqmap$u$u$u24a3'('cCoq$u2eInit$u2eDatatypes$u2eunit','cIntMap$u2eFset$u2eFSetUnion$u$u$u24a2'('cIntMap$u2eFset$u2eFSetUnion$u$u$u24a2'(sK293,sK294),sK295),'cIntMap$u2eFset$u2eFSetUnion$u$u$u24a2'(sK293,'cIntMap$u2eFset$u2eFSetUnion$u$u$u24a2'(sK294,sK295))), inference(clausification, [status(esa)], [negated_conjecture])).
% 74.10/9.86 cnf(d0, plain, 'cMapaxioms$u2eeqmap$u$u$u24a3'('cCoq$u2eInit$u2eDatatypes$u2eunit','cIntMap$u2eFset$u2eFSetUnion$u$u$u24a2'('cIntMap$u2eMap$u2eMapMerge$u$u$u24a3'('cCoq$u2eInit$u2eDatatypes$u2eunit',X0,X1),X2),'cIntMap$u2eMap$u2eMapMerge$u$u$u24a3'('cCoq$u2eInit$u2eDatatypes$u2eunit',X0,'cIntMap$u2eMap$u2eMapMerge$u$u$u24a3'('cCoq$u2eInit$u2eDatatypes$u2eunit',X1,X2))) | ~'cIntMap$u2eMap$u2eMap$u$u$u24t'('cCoq$u2eInit$u2eDatatypes$u2eunit',X1) | ~'cIntMap$u2eMap$u2eMap$u$u$u24t'('cCoq$u2eInit$u2eDatatypes$u2eunit',X0) | ~'cIntMap$u2eMap$u2eMap$u$u$u24t'('cCoq$u2eInit$u2eDatatypes$u2eunit',X2) | ~'cType$u$u$u24t'('cCoq$u2eInit$u2eDatatypes$u2eunit'), inference(superposition, [status(thm)], [c6,c109])).
% 74.10/9.86 cnf(d1, plain, ~'cIntMap$u2eMap$u2eMap$u$u$u24t'('cCoq$u2eInit$u2eDatatypes$u2eunit',X2) | ~'cIntMap$u2eMap$u2eMap$u$u$u24t'('cCoq$u2eInit$u2eDatatypes$u2eunit',X1) | ~'cIntMap$u2eMap$u2eMap$u$u$u24t'('cCoq$u2eInit$u2eDatatypes$u2eunit',X0) | ~'cType$u$u$u24t'('cCoq$u2eInit$u2eDatatypes$u2eunit') | 'cMapaxioms$u2eeqmap$u$u$u24a3'('cCoq$u2eInit$u2eDatatypes$u2eunit','cIntMap$u2eFset$u2eFSetUnion$u$u$u24a2'('cIntMap$u2eFset$u2eFSetUnion$u$u$u24a2'(X0,X1),X2),'cIntMap$u2eMap$u2eMapMerge$u$u$u24a3'('cCoq$u2eInit$u2eDatatypes$u2eunit',X0,'cIntMap$u2eMap$u2eMapMerge$u$u$u24a3'('cCoq$u2eInit$u2eDatatypes$u2eunit',X1,X2))), inference(demodulation, [status(thm)], [d0,c6])).
% 74.10/9.86 cnf(d2, plain, ~'cIntMap$u2eMap$u2eMap$u$u$u24t'('cCoq$u2eInit$u2eDatatypes$u2eunit',X2) | ~'cIntMap$u2eMap$u2eMap$u$u$u24t'('cCoq$u2eInit$u2eDatatypes$u2eunit',X1) | ~'cIntMap$u2eMap$u2eMap$u$u$u24t'('cCoq$u2eInit$u2eDatatypes$u2eunit',X0) | ~'cType$u$u$u24t'('cCoq$u2eInit$u2eDatatypes$u2eunit') | 'cMapaxioms$u2eeqmap$u$u$u24a3'('cCoq$u2eInit$u2eDatatypes$u2eunit','cIntMap$u2eFset$u2eFSetUnion$u$u$u24a2'('cIntMap$u2eFset$u2eFSetUnion$u$u$u24a2'(X0,X1),X2),'cIntMap$u2eFset$u2eFSetUnion$u$u$u24a2'(X0,'cIntMap$u2eMap$u2eMapMerge$u$u$u24a3'('cCoq$u2eInit$u2eDatatypes$u2eunit',X1,X2))), inference(demodulation, [status(thm)], [d1,c6])).
% 74.10/9.86 cnf(d3, plain, ~'cIntMap$u2eMap$u2eMap$u$u$u24t'('cCoq$u2eInit$u2eDatatypes$u2eunit',X1) | ~'cIntMap$u2eMap$u2eMap$u$u$u24t'('cCoq$u2eInit$u2eDatatypes$u2eunit',X0) | ~'cIntMap$u2eMap$u2eMap$u$u$u24t'('cCoq$u2eInit$u2eDatatypes$u2eunit',X2) | ~'cType$u$u$u24t'('cCoq$u2eInit$u2eDatatypes$u2eunit') | 'cMapaxioms$u2eeqmap$u$u$u24a3'('cCoq$u2eInit$u2eDatatypes$u2eunit','cIntMap$u2eFset$u2eFSetUnion$u$u$u24a2'('cIntMap$u2eFset$u2eFSetUnion$u$u$u24a2'(X2,X0),X1),'cIntMap$u2eFset$u2eFSetUnion$u$u$u24a2'(X2,'cIntMap$u2eFset$u2eFSetUnion$u$u$u24a2'(X0,X1))), inference(demodulation, [status(thm)], [d2,c6])).
% 74.10/9.86 cnf(d4, plain, ~'cIntMap$u2eMap$u2eMap$u$u$u24t'('cCoq$u2eInit$u2eDatatypes$u2eunit',X0) | ~'cIntMap$u2eMap$u2eMap$u$u$u24t'('cCoq$u2eInit$u2eDatatypes$u2eunit',X1) | ~'cIntMap$u2eMap$u2eMap$u$u$u24t'('cCoq$u2eInit$u2eDatatypes$u2eunit',X2) | 'cMapaxioms$u2eeqmap$u$u$u24a3'('cCoq$u2eInit$u2eDatatypes$u2eunit','cIntMap$u2eFset$u2eFSetUnion$u$u$u24a2'('cIntMap$u2eFset$u2eFSetUnion$u$u$u24a2'(X2,X1),X0),'cIntMap$u2eFset$u2eFSetUnion$u$u$u24a2'(X2,'cIntMap$u2eFset$u2eFSetUnion$u$u$u24a2'(X1,X0))), inference(resolution, [status(thm)], [c56,d3])).
% 74.10/9.86 cnf(d5, plain, ~'cIntMap$u2eMap$u2eMap$u$u$u24t'('cCoq$u2eInit$u2eDatatypes$u2eunit',sK293) | ~'cIntMap$u2eMap$u2eMap$u$u$u24t'('cCoq$u2eInit$u2eDatatypes$u2eunit',sK294) | ~'cIntMap$u2eMap$u2eMap$u$u$u24t'('cCoq$u2eInit$u2eDatatypes$u2eunit',sK295), inference(resolution, [status(thm)], [d4,c127])).
% 74.10/9.86 cnf(d6, plain, ~'cIntMap$u2eMap$u2eMap$u$u$u24t'('cCoq$u2eInit$u2eDatatypes$u2eunit',sK293) | ~'cIntMap$u2eMap$u2eMap$u$u$u24t'('cCoq$u2eInit$u2eDatatypes$u2eunit',sK294) | ~'cIntMap$u2eFset$u2eFSet$u$u$u24t'(sK295), inference(resolution, [status(thm)], [d5,c4])).
% 74.10/9.86 cnf(d7, plain, ~'cIntMap$u2eMap$u2eMap$u$u$u24t'('cCoq$u2eInit$u2eDatatypes$u2eunit',sK293) | ~'cIntMap$u2eMap$u2eMap$u$u$u24t'('cCoq$u2eInit$u2eDatatypes$u2eunit',sK294), inference(resolution, [status(thm)], [c126,d6])).
% 74.10/9.86 cnf(d8, plain, ~'cIntMap$u2eMap$u2eMap$u$u$u24t'('cCoq$u2eInit$u2eDatatypes$u2eunit',sK293) | ~'cIntMap$u2eFset$u2eFSet$u$u$u24t'(sK294), inference(resolution, [status(thm)], [d7,c4])).
% 74.10/9.86 cnf(d9, plain, ~'cIntMap$u2eMap$u2eMap$u$u$u24t'('cCoq$u2eInit$u2eDatatypes$u2eunit',sK293), inference(resolution, [status(thm)], [c125,d8])).
% 74.10/9.86 cnf(d10, plain, ~'cIntMap$u2eFset$u2eFSet$u$u$u24t'(sK293), inference(resolution, [status(thm)], [d9,c4])).
% 74.10/9.86 cnf(d11, plain, $false, inference(resolution, [status(thm)], [c124,d10])).
% 74.10/9.86 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------