%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEV661+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 : n008.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 08:49:02 AM UTC 2026
% Result : Theorem 57.72s 10.16s
% Output : CNFRefutation 57.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV661+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
% 0.08/0.36 % Computer : n008.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 11:33:54 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 57.72/10.16 % SZS status Theorem for theBenchmark.p
% 57.72/10.16 % SZS output start CNFRefutation for theBenchmark.p
% 57.72/10.16 fof(_HAMMER_COQ_TRUE, axiom, p('c$u24True')).
% 57.72/10.16 fof($_def_ExtLib.Core.Type.proper, axiom, ! [X0] : ! [X1] : (('cType$u$u$u24t'(X0) => ('cExtLib$u2eCore$u2eType$u2etype$u$u$u24t'(X0,X1) => ? [X2] : (('c$u24$u$utype$u$u14$u$u$u24t'(X0,X2) & ? [X3] : (('c$u24$u$utype$u$u8$u$u$u24t'(X0,X3) & (X1 = 'cExtLib$u2eCore$u2eType$u2eBuild$u$utype$u$u$u24a3'(X0,X2,X3) & 'cExtLib$u2eCore$u2eType$u2eproper$u$u$u24a2'(X0,X1) = X3))))))))).
% 57.72/10.16 fof($_def_N.type_N, axiom, 'cN$u2etype$u$uN' = 'cExtLib$u2eCore$u2eType$u2eBuild$u$utype$u$u$u24a3'('cCoq$u2eNumbers$u2eBinNums$u2eN','c$u3d$u$u$u24a1'('cCoq$u2eNumbers$u2eBinNums$u2eN'),'c$u24$u$ulam$u$u35284')).
% 57.72/10.16 fof($_inj_ExtLib.Core.Type.Build_type, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ! [X5] : (('cExtLib$u2eCore$u2eType$u2eBuild$u$utype$u$u$u24a3'(X0,X2,X4) = 'cExtLib$u2eCore$u2eType$u2eBuild$u$utype$u$u$u24a3'(X1,X3,X5) => (X4 = X5 & (X2 = X3 & X0 = X1))))).
% 57.72/10.16 fof($_lam_35284, axiom, ! [X0] : (('c$u24$u$ulam$u$u35284$u$u$u24a1'(X0) <=> p('c$u24True')))).
% 57.72/10.16 fof($_typeof_Coq.Numbers.BinNums.N, axiom, 'cType$u$u$u24t'('cCoq$u2eNumbers$u2eBinNums$u2eN')).
% 57.72/10.16 fof($_typeof_N.type_N, axiom, 'cExtLib$u2eCore$u2eType$u2etype$u$u$u24t'('cCoq$u2eNumbers$u2eBinNums$u2eN','cN$u2etype$u$uN')).
% 57.72/10.16 fof($adef_$_lam_35284_$a1, axiom, ! [X0] : ((p(happ('c$u24$u$ulam$u$u35284',X0)) <=> 'c$u24$u$ulam$u$u35284$u$u$u24a1'(X0)))).
% 57.72/10.16 fof($adef_ExtLib.Core.Type.proper_$a3, axiom, ! [X0] : ! [X1] : ! [X2] : ((p(happ(happ(happ('cExtLib$u2eCore$u2eType$u2eproper',X0),X1),X2)) <=> 'cExtLib$u2eCore$u2eType$u2eproper$u$u$u24a3'(X0,X1,X2)))).
% 57.72/10.16 fof($adef_ExtLib.Core.Type.proper_$a2, axiom, ! [X0] : ! [X1] : happ(happ('cExtLib$u2eCore$u2eType$u2eproper',X0),X1) = 'cExtLib$u2eCore$u2eType$u2eproper$u$u$u24a2'(X0,X1)).
% 57.72/10.16 fof(_HAMMER_GOAL, conjecture, 'cExtLib$u2eCore$u2eType$u2eproper$u$u$u24a3'('cCoq$u2eNumbers$u2eBinNums$u2eN','cN$u2etype$u$uN',cn)).
% 57.72/10.16 fof(negated_conjecture, negated_conjecture, ~'cExtLib$u2eCore$u2eType$u2eproper$u$u$u24a3'('cCoq$u2eNumbers$u2eBinNums$u2eN','cN$u2etype$u$uN',cn), inference(negate_conjecture, [status(cth)], [_HAMMER_GOAL])).
% 57.72/10.16 cnf(c0, plain, p('c$u24True'), inference(clausification, [status(esa)], [_HAMMER_COQ_TRUE])).
% 57.72/10.16 cnf(c7, plain, ~'cType$u$u$u24t'(X0) | ~'cExtLib$u2eCore$u2eType$u2etype$u$u$u24t'(X0,X1) | X1 = 'cExtLib$u2eCore$u2eType$u2eBuild$u$utype$u$u$u24a3'(X0,sK6(X0,X1),sK7(X0,X1)), inference(clausification, [status(esa)], [$_def_ExtLib.Core.Type.proper])).
% 57.72/10.16 cnf(c8, plain, ~'cType$u$u$u24t'(X0) | ~'cExtLib$u2eCore$u2eType$u2etype$u$u$u24t'(X0,X1) | 'cExtLib$u2eCore$u2eType$u2eproper$u$u$u24a2'(X0,X1) = sK7(X0,X1), inference(clausification, [status(esa)], [$_def_ExtLib.Core.Type.proper])).
% 57.72/10.16 cnf(c13, plain, 'cN$u2etype$u$uN' = 'cExtLib$u2eCore$u2eType$u2eBuild$u$utype$u$u$u24a3'('cCoq$u2eNumbers$u2eBinNums$u2eN','c$u3d$u$u$u24a1'('cCoq$u2eNumbers$u2eBinNums$u2eN'),'c$u24$u$ulam$u$u35284'), inference(clausification, [status(esa)], [$_def_N.type_N])).
% 57.72/10.16 cnf(c15, plain, 'cExtLib$u2eCore$u2eType$u2eBuild$u$utype$u$u$u24a3'(X0,X1,X2) != 'cExtLib$u2eCore$u2eType$u2eBuild$u$utype$u$u$u24a3'(X3,X4,X5) | X2 = X5, inference(clausification, [status(esa)], [$_inj_ExtLib.Core.Type.Build_type])).
% 57.72/10.16 cnf(c31, plain, 'c$u24$u$ulam$u$u35284$u$u$u24a1'(X0) | ~p('c$u24True'), inference(clausification, [status(esa)], [$_lam_35284])).
% 57.72/10.16 cnf(c54, plain, 'cType$u$u$u24t'('cCoq$u2eNumbers$u2eBinNums$u2eN'), inference(clausification, [status(esa)], [$_typeof_Coq.Numbers.BinNums.N])).
% 57.72/10.16 cnf(c59, plain, 'cExtLib$u2eCore$u2eType$u2etype$u$u$u24t'('cCoq$u2eNumbers$u2eBinNums$u2eN','cN$u2etype$u$uN'), inference(clausification, [status(esa)], [$_typeof_N.type_N])).
% 57.72/10.16 cnf(c139, plain, p(happ('c$u24$u$ulam$u$u35284',X0)) | ~'c$u24$u$ulam$u$u35284$u$u$u24a1'(X0), inference(clausification, [status(esa)], [$adef_$_lam_35284_$a1])).
% 57.72/10.16 cnf(c140, plain, ~p(happ(happ(happ('cExtLib$u2eCore$u2eType$u2eproper',X0),X1),X2)) | 'cExtLib$u2eCore$u2eType$u2eproper$u$u$u24a3'(X0,X1,X2), inference(clausification, [status(esa)], [$adef_ExtLib.Core.Type.proper_$a3])).
% 57.72/10.16 cnf(c145, plain, happ(happ('cExtLib$u2eCore$u2eType$u2eproper',X0),X1) = 'cExtLib$u2eCore$u2eType$u2eproper$u$u$u24a2'(X0,X1), inference(clausification, [status(esa)], [$adef_ExtLib.Core.Type.proper_$a2])).
% 57.72/10.16 cnf(c150, plain, ~'cExtLib$u2eCore$u2eType$u2eproper$u$u$u24a3'('cCoq$u2eNumbers$u2eBinNums$u2eN','cN$u2etype$u$uN',cn), inference(clausification, [status(esa)], [negated_conjecture])).
% 57.72/10.16 cnf(d0, plain, 'cExtLib$u2eCore$u2eType$u2eBuild$u$utype$u$u$u24a3'(X0,X1,X2) != 'cN$u2etype$u$uN' | X2 = 'c$u24$u$ulam$u$u35284', inference(superposition, [status(thm)], [c13,c15])).
% 57.72/10.16 cnf(d1, plain, 'cN$u2etype$u$uN' = 'cExtLib$u2eCore$u2eType$u2eBuild$u$utype$u$u$u24a3'('cCoq$u2eNumbers$u2eBinNums$u2eN',sK6('cCoq$u2eNumbers$u2eBinNums$u2eN','cN$u2etype$u$uN'),sK7('cCoq$u2eNumbers$u2eBinNums$u2eN','cN$u2etype$u$uN')) | ~'cType$u$u$u24t'('cCoq$u2eNumbers$u2eBinNums$u2eN'), inference(resolution, [status(thm)], [c59,c7])).
% 57.72/10.16 cnf(d2, plain, 'cN$u2etype$u$uN' = 'cExtLib$u2eCore$u2eType$u2eBuild$u$utype$u$u$u24a3'('cCoq$u2eNumbers$u2eBinNums$u2eN',sK6('cCoq$u2eNumbers$u2eBinNums$u2eN','cN$u2etype$u$uN'),sK7('cCoq$u2eNumbers$u2eBinNums$u2eN','cN$u2etype$u$uN')), inference(resolution, [status(thm)], [c54,d1])).
% 57.72/10.16 cnf(d3, plain, 'cN$u2etype$u$uN' != 'cN$u2etype$u$uN' | sK7('cCoq$u2eNumbers$u2eBinNums$u2eN','cN$u2etype$u$uN') = 'c$u24$u$ulam$u$u35284', inference(superposition, [status(thm)], [d2,d0])).
% 57.72/10.16 cnf(d4, plain, sK7('cCoq$u2eNumbers$u2eBinNums$u2eN','cN$u2etype$u$uN') = 'c$u24$u$ulam$u$u35284', inference(equality_resolution, [status(thm)], [d3])).
% 57.72/10.16 cnf(d5, plain, ~p(happ('cExtLib$u2eCore$u2eType$u2eproper$u$u$u24a2'(X0,X1),X2)) | 'cExtLib$u2eCore$u2eType$u2eproper$u$u$u24a3'(X0,X1,X2), inference(demodulation, [status(thm)], [c140,c145])).
% 57.72/10.16 cnf(d6, plain, 'cExtLib$u2eCore$u2eType$u2eproper$u$u$u24a2'('cCoq$u2eNumbers$u2eBinNums$u2eN','cN$u2etype$u$uN') = sK7('cCoq$u2eNumbers$u2eBinNums$u2eN','cN$u2etype$u$uN') | ~'cType$u$u$u24t'('cCoq$u2eNumbers$u2eBinNums$u2eN'), inference(resolution, [status(thm)], [c59,c8])).
% 57.72/10.16 cnf(d7, plain, 'cExtLib$u2eCore$u2eType$u2eproper$u$u$u24a2'('cCoq$u2eNumbers$u2eBinNums$u2eN','cN$u2etype$u$uN') = sK7('cCoq$u2eNumbers$u2eBinNums$u2eN','cN$u2etype$u$uN'), inference(resolution, [status(thm)], [c54,d6])).
% 57.72/10.16 cnf(d8, plain, ~p(happ(sK7('cCoq$u2eNumbers$u2eBinNums$u2eN','cN$u2etype$u$uN'),X0)) | 'cExtLib$u2eCore$u2eType$u2eproper$u$u$u24a3'('cCoq$u2eNumbers$u2eBinNums$u2eN','cN$u2etype$u$uN',X0), inference(superposition, [status(thm)], [d7,d5])).
% 57.72/10.16 cnf(d9, plain, ~p(happ('c$u24$u$ulam$u$u35284',X0)) | 'cExtLib$u2eCore$u2eType$u2eproper$u$u$u24a3'('cCoq$u2eNumbers$u2eBinNums$u2eN','cN$u2etype$u$uN',X0), inference(demodulation, [status(thm)], [d8,d4])).
% 57.72/10.16 cnf(d10, plain, 'c$u24$u$ulam$u$u35284$u$u$u24a1'(X0), inference(resolution, [status(thm)], [c0,c31])).
% 57.72/10.16 cnf(d11, plain, p(happ('c$u24$u$ulam$u$u35284',X0)), inference(resolution, [status(thm)], [d10,c139])).
% 57.72/10.16 cnf(d12, plain, 'cExtLib$u2eCore$u2eType$u2eproper$u$u$u24a3'('cCoq$u2eNumbers$u2eBinNums$u2eN','cN$u2etype$u$uN',X0), inference(resolution, [status(thm)], [d11,d9])).
% 57.72/10.16 cnf(d13, plain, $false, inference(resolution, [status(thm)], [d12,c150])).
% 57.72/10.16 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------