%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEV616+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 : n018.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 08:48:58 AM UTC 2026
% Result : Theorem 88.63s 26.47s
% Output : CNFRefutation 88.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV616+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
% 0.09/0.35 % Computer : n018.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 11:22:36 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 88.63/26.47 % SZS status Theorem for theBenchmark.p
% 88.63/26.47 % SZS output start CNFRefutation for theBenchmark.p
% 88.63/26.47 fof(_HAMMER_COQ_FALSE, axiom, ~p('c$u24False')).
% 88.63/26.47 fof($_def_Coq.Relations.Relation_Definitions.inclusion, axiom, ! [X0] : ! [X1] : ! [X2] : (('cCoq$u2eRelations$u2eRelation$u$uDefinitions$u2einclusion$u$u$u24a3'(X0,X1,X2) <=> ! [X3] : ((t(X3,X0) => ! [X4] : ((t(X4,X0) => (p(happ(happ(X1,X3),X4)) => p(happ(happ(X2,X3),X4)))))))))).
% 88.63/26.47 fof($_def_Coq.Relations.Relation_Definitions.same_relation, axiom, ! [X0] : ! [X1] : ! [X2] : (('cCoq$u2eRelations$u2eRelation$u$uDefinitions$u2esame$u$urelation$u$u$u24a3'(X0,X1,X2) <=> ('cCoq$u2eRelations$u2eRelation$u$uDefinitions$u2einclusion$u$u$u24a3'(X0,X1,X2) & 'cCoq$u2eRelations$u2eRelation$u$uDefinitions$u2einclusion$u$u$u24a3'(X0,X2,X1))))).
% 88.63/26.47 fof($_def_hahn.HahnRelationsBasic.collect_rel, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ! [X5] : (('chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a6'(X0,X1,X2,X3,X4,X5) <=> ? [X6] : ((t(X6,X0) & ? [X7] : ((t(X7,X0) & (p(happ(happ(X3,X6),X7)) & (happ(X2,X6) = X4 & happ(X2,X7) = X5))))))))).
% 88.63/26.47 fof($_lam_35673, axiom, ! [X0] : ! [X1] : (('c$u24$u$ulam$u$u35673$u$u$u24a2'(X0,X1) <=> p('c$u24False')))).
% 88.63/26.47 fof($_lam_75262, axiom, ! [X0] : ! [X1] : (('c$u24$u$ulam$u$u75262$u$u$u24a2'(X0,X1) <=> p('c$u24False')))).
% 88.63/26.47 fof($adef_$_lam_75262_$a2, axiom, ! [X0] : ! [X1] : ((p(happ(happ('c$u24$u$ulam$u$u75262',X0),X1)) <=> 'c$u24$u$ulam$u$u75262$u$u$u24a2'(X0,X1)))).
% 88.63/26.47 fof($adef_$_lam_35673_$a2, axiom, ! [X0] : ! [X1] : ((p(happ(happ('c$u24$u$ulam$u$u35673',X0),X1)) <=> 'c$u24$u$ulam$u$u35673$u$u$u24a2'(X0,X1)))).
% 88.63/26.47 fof($adef_hahn.HahnRelationsBasic.collect_rel_$a6, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ! [X5] : ((p(happ(happ(happ(happ(happ(happ('chahn$u2eHahnRelationsBasic$u2ecollect$u$urel',X0),X1),X2),X3),X4),X5)) <=> 'chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a6'(X0,X1,X2,X3,X4,X5)))).
% 88.63/26.47 fof($adef_hahn.HahnRelationsBasic.collect_rel_$a2, axiom, ! [X0] : ! [X1] : happ(happ('chahn$u2eHahnRelationsBasic$u2ecollect$u$urel',X0),X1) = 'chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a2'(X0,X1)).
% 88.63/26.47 fof($adef_hahn.HahnRelationsBasic.collect_rel_$a4, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : happ(happ(happ(happ('chahn$u2eHahnRelationsBasic$u2ecollect$u$urel',X0),X1),X2),X3) = 'chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a4'(X0,X1,X2,X3)).
% 88.63/26.47 fof(_HAMMER_GOAL, conjecture, 'cCoq$u2eRelations$u2eRelation$u$uDefinitions$u2esame$u$urelation$u$u$u24a3'(cB,'chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a4'(cA,cB,cf,'c$u24$u$ulam$u$u35673'),'c$u24$u$ulam$u$u75262')).
% 88.63/26.47 fof(negated_conjecture, negated_conjecture, ~'cCoq$u2eRelations$u2eRelation$u$uDefinitions$u2esame$u$urelation$u$u$u24a3'(cB,'chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a4'(cA,cB,cf,'c$u24$u$ulam$u$u35673'),'c$u24$u$ulam$u$u75262'), inference(negate_conjecture, [status(cth)], [_HAMMER_GOAL])).
% 88.63/26.47 cnf(c0, plain, ~p('c$u24False'), inference(clausification, [status(esa)], [_HAMMER_COQ_FALSE])).
% 88.63/26.47 cnf(c2, plain, 'cCoq$u2eRelations$u2eRelation$u$uDefinitions$u2einclusion$u$u$u24a3'(X0,X1,X2) | ~X3(X0,X1,X2), inference(clausification, [status(esa)], [$_def_Coq.Relations.Relation_Definitions.inclusion])).
% 88.63/26.47 cnf(c6, plain, X0(X1,X2,X3) | p(happ(happ(X2,sK6(X1,X2,X3)),sK7(X1,X2,X3))), inference(clausification, [status(esa)], [$_def_Coq.Relations.Relation_Definitions.inclusion])).
% 88.63/26.47 cnf(c10, plain, 'cCoq$u2eRelations$u2eRelation$u$uDefinitions$u2esame$u$urelation$u$u$u24a3'(X0,X1,X2) | ~'cCoq$u2eRelations$u2eRelation$u$uDefinitions$u2einclusion$u$u$u24a3'(X0,X1,X2) | ~'cCoq$u2eRelations$u2eRelation$u$uDefinitions$u2einclusion$u$u$u24a3'(X0,X2,X1), inference(clausification, [status(esa)], [$_def_Coq.Relations.Relation_Definitions.same_relation])).
% 88.63/26.47 cnf(c20, plain, ~'chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a6'(X0,X1,X2,X3,X4,X5) | X6(X0,X2,X3,X4,X5), inference(clausification, [status(esa)], [$_def_hahn.HahnRelationsBasic.collect_rel])).
% 88.63/26.47 cnf(c24, plain, ~X0(X1,X2,X3,X4,X5) | p(happ(happ(X3,sK27(X1,X5,X3,X2,X4)),sK28(X1,X5,X3,X2,X4))), inference(clausification, [status(esa)], [$_def_hahn.HahnRelationsBasic.collect_rel])).
% 88.63/26.47 cnf(c28, plain, ~'c$u24$u$ulam$u$u35673$u$u$u24a2'(X0,X1) | p('c$u24False'), inference(clausification, [status(esa)], [$_lam_35673])).
% 88.63/26.47 cnf(c30, plain, ~'c$u24$u$ulam$u$u75262$u$u$u24a2'(X0,X1) | p('c$u24False'), inference(clausification, [status(esa)], [$_lam_75262])).
% 88.63/26.47 cnf(c225, plain, ~p(happ(happ('c$u24$u$ulam$u$u75262',X0),X1)) | 'c$u24$u$ulam$u$u75262$u$u$u24a2'(X0,X1), inference(clausification, [status(esa)], [$adef_$_lam_75262_$a2])).
% 88.63/26.47 cnf(c227, plain, ~p(happ(happ('c$u24$u$ulam$u$u35673',X0),X1)) | 'c$u24$u$ulam$u$u35673$u$u$u24a2'(X0,X1), inference(clausification, [status(esa)], [$adef_$_lam_35673_$a2])).
% 88.63/26.47 cnf(c229, plain, ~p(happ(happ(happ(happ(happ(happ('chahn$u2eHahnRelationsBasic$u2ecollect$u$urel',X0),X1),X2),X3),X4),X5)) | 'chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a6'(X0,X1,X2,X3,X4,X5), inference(clausification, [status(esa)], [$adef_hahn.HahnRelationsBasic.collect_rel_$a6])).
% 88.63/26.47 cnf(c231, plain, happ(happ('chahn$u2eHahnRelationsBasic$u2ecollect$u$urel',X0),X1) = 'chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a2'(X0,X1), inference(clausification, [status(esa)], [$adef_hahn.HahnRelationsBasic.collect_rel_$a2])).
% 88.63/26.47 cnf(c232, plain, happ(happ(happ(happ('chahn$u2eHahnRelationsBasic$u2ecollect$u$urel',X0),X1),X2),X3) = 'chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a4'(X0,X1,X2,X3), inference(clausification, [status(esa)], [$adef_hahn.HahnRelationsBasic.collect_rel_$a4])).
% 88.63/26.47 cnf(c241, plain, ~'cCoq$u2eRelations$u2eRelation$u$uDefinitions$u2esame$u$urelation$u$u$u24a3'(cB,'chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a4'(cA,cB,cf,'c$u24$u$ulam$u$u35673'),'c$u24$u$ulam$u$u75262'), inference(clausification, [status(esa)], [negated_conjecture])).
% 88.63/26.47 cnf(d0, plain, ~'c$u24$u$ulam$u$u75262$u$u$u24a2'(X0,X1), inference(resolution, [status(thm)], [c0,c30])).
% 88.63/26.47 cnf(d1, plain, ~p(happ(happ('c$u24$u$ulam$u$u75262',X0),X1)), inference(resolution, [status(thm)], [d0,c225])).
% 88.63/26.47 cnf(d2, plain, 'Ts0'(X0,'c$u24$u$ulam$u$u75262',X1), inference(resolution, [status(thm)], [d1,c6])).
% 88.63/26.47 cnf(d3, plain, 'cCoq$u2eRelations$u2eRelation$u$uDefinitions$u2einclusion$u$u$u24a3'(X0,'c$u24$u$ulam$u$u75262',X1), inference(resolution, [status(thm)], [d2,c2])).
% 88.63/26.47 cnf(d4, plain, ~'cCoq$u2eRelations$u2eRelation$u$uDefinitions$u2einclusion$u$u$u24a3'(X0,X1,'c$u24$u$ulam$u$u75262') | 'cCoq$u2eRelations$u2eRelation$u$uDefinitions$u2esame$u$urelation$u$u$u24a3'(X0,X1,'c$u24$u$ulam$u$u75262'), inference(resolution, [status(thm)], [d3,c10])).
% 88.63/26.47 cnf(d5, plain, ~'c$u24$u$ulam$u$u35673$u$u$u24a2'(X0,X1), inference(resolution, [status(thm)], [c0,c28])).
% 88.63/26.47 cnf(d6, plain, ~p(happ(happ('c$u24$u$ulam$u$u35673',X0),X1)), inference(resolution, [status(thm)], [d5,c227])).
% 88.63/26.47 cnf(d7, plain, ~'Ts20'(X0,X1,'c$u24$u$ulam$u$u35673',X2,X3), inference(resolution, [status(thm)], [d6,c24])).
% 88.63/26.47 cnf(d8, plain, happ(happ('chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a2'(X0,X1),X2),X3) = 'chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a4'(X0,X1,X2,X3), inference(demodulation, [status(thm)], [c232,c231])).
% 88.63/26.47 cnf(d9, plain, ~p(happ(happ(happ(happ('chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a2'(X0,X1),X2),X3),X4),X5)) | 'chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a6'(X0,X1,X2,X3,X4,X5), inference(demodulation, [status(thm)], [c229,c231])).
% 88.63/26.47 cnf(d10, plain, 'chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a6'(X0,X1,X2,X3,sK6(X4,happ(happ('chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a2'(X0,X1),X2),X3),X5),sK7(X4,happ(happ('chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a2'(X0,X1),X2),X3),X5)) | 'Ts0'(X4,happ(happ('chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a2'(X0,X1),X2),X3),X5), inference(resolution, [status(thm)], [d9,c6])).
% 88.63/26.47 cnf(d11, plain, 'Ts0'(X4,'chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a4'(X0,X1,X2,X3),X5) | 'chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a6'(X0,X1,X2,X3,sK6(X4,happ(happ('chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a2'(X0,X1),X2),X3),X5),sK7(X4,happ(happ('chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a2'(X0,X1),X2),X3),X5)), inference(demodulation, [status(thm)], [d10,d8])).
% 88.63/26.47 cnf(d12, plain, 'Ts0'(X4,'chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a4'(X0,X1,X2,X3),X5) | 'chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a6'(X0,X1,X2,X3,sK6(X4,'chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a4'(X0,X1,X2,X3),X5),sK7(X4,happ(happ('chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a2'(X0,X1),X2),X3),X5)), inference(demodulation, [status(thm)], [d11,d8])).
% 88.63/26.47 cnf(d13, plain, 'Ts0'(X4,'chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a4'(X0,X1,X2,X3),X5) | 'chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a6'(X0,X1,X2,X3,sK6(X4,'chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a4'(X0,X1,X2,X3),X5),sK7(X4,'chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a4'(X0,X1,X2,X3),X5)), inference(demodulation, [status(thm)], [d12,d8])).
% 88.63/26.47 cnf(d14, plain, 'Ts0'(X0,'chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a4'(X1,X2,X3,X4),X5) | 'Ts20'(X1,X3,X4,sK6(X0,'chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a4'(X1,X2,X3,X4),X5),sK7(X0,'chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a4'(X1,X2,X3,X4),X5)), inference(resolution, [status(thm)], [d13,c20])).
% 88.63/26.47 cnf(d15, plain, 'Ts0'(X0,'chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a4'(X1,X2,X3,'c$u24$u$ulam$u$u35673'),X4), inference(resolution, [status(thm)], [d14,d7])).
% 88.63/26.47 cnf(d16, plain, 'cCoq$u2eRelations$u2eRelation$u$uDefinitions$u2einclusion$u$u$u24a3'(X0,'chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a4'(X1,X2,X3,'c$u24$u$ulam$u$u35673'),X4), inference(resolution, [status(thm)], [d15,c2])).
% 88.63/26.47 cnf(d17, plain, 'cCoq$u2eRelations$u2eRelation$u$uDefinitions$u2esame$u$urelation$u$u$u24a3'(X0,'chahn$u2eHahnRelationsBasic$u2ecollect$u$urel$u$u$u24a4'(X1,X2,X3,'c$u24$u$ulam$u$u35673'),'c$u24$u$ulam$u$u75262'), inference(resolution, [status(thm)], [d16,d4])).
% 88.63/26.47 cnf(d18, plain, $false, inference(resolution, [status(thm)], [d17,c241])).
% 88.63/26.47 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------