TSTP Solution File: GEO081+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO081+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 05:58:10 EDT 2022
% Result : Theorem 4.12s 4.32s
% Output : Refutation 4.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEO081+1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.09 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Sat Jun 18 00:59:01 EDT 2022
% 0.09/0.28 % CPUTime :
% 4.12/4.32 # Version: 1.3
% 4.12/4.32 # SZS status Theorem
% 4.12/4.32 # SZS output start CNFRefutation
% 4.12/4.32 fof(part_of_transitivity,conjecture,(![C1]:(![C2]:(![C3]:((part_of(C1,C2)&part_of(C2,C3))=>part_of(C1,C3))))),input).
% 4.12/4.32 fof(c8,negated_conjecture,(~(![C1]:(![C2]:(![C3]:((part_of(C1,C2)&part_of(C2,C3))=>part_of(C1,C3)))))),inference(assume_negation,status(cth),[part_of_transitivity])).
% 4.12/4.32 fof(c9,negated_conjecture,(?[C1]:(?[C2]:(?[C3]:((part_of(C1,C2)&part_of(C2,C3))&~part_of(C1,C3))))),inference(fof_nnf,status(thm),[c8])).
% 4.12/4.32 fof(c10,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((part_of(X2,X3)&part_of(X3,X4))&~part_of(X2,X4))))),inference(variable_rename,status(thm),[c9])).
% 4.12/4.32 fof(c11,negated_conjecture,((part_of(skolem0001,skolem0002)&part_of(skolem0002,skolem0003))&~part_of(skolem0001,skolem0003)),inference(skolemize,status(esa),[c10])).
% 4.12/4.32 cnf(c14,negated_conjecture,~part_of(skolem0001,skolem0003),inference(split_conjunct,status(thm),[c11])).
% 4.12/4.32 fof(part_of_defn,axiom,(![C]:(![C1]:(part_of(C1,C)<=>(![P]:(incident_c(P,C1)=>incident_c(P,C)))))),input).
% 4.12/4.32 fof(c118,axiom,(![C]:(![C1]:((~part_of(C1,C)|(![P]:(~incident_c(P,C1)|incident_c(P,C))))&((?[P]:(incident_c(P,C1)&~incident_c(P,C)))|part_of(C1,C))))),inference(fof_nnf,status(thm),[part_of_defn])).
% 4.12/4.32 fof(c119,axiom,((![C]:(![C1]:(~part_of(C1,C)|(![P]:(~incident_c(P,C1)|incident_c(P,C))))))&(![C]:(![C1]:((?[P]:(incident_c(P,C1)&~incident_c(P,C)))|part_of(C1,C))))),inference(shift_quantors,status(thm),[c118])).
% 4.12/4.32 fof(c120,axiom,((![X74]:(![X75]:(~part_of(X75,X74)|(![X76]:(~incident_c(X76,X75)|incident_c(X76,X74))))))&(![X77]:(![X78]:((?[X79]:(incident_c(X79,X78)&~incident_c(X79,X77)))|part_of(X78,X77))))),inference(variable_rename,status(thm),[c119])).
% 4.12/4.32 fof(c122,axiom,(![X74]:(![X75]:(![X76]:(![X77]:(![X78]:((~part_of(X75,X74)|(~incident_c(X76,X75)|incident_c(X76,X74)))&((incident_c(skolem0016(X77,X78),X78)&~incident_c(skolem0016(X77,X78),X77))|part_of(X78,X77)))))))),inference(shift_quantors,status(thm),[fof(c121,axiom,((![X74]:(![X75]:(~part_of(X75,X74)|(![X76]:(~incident_c(X76,X75)|incident_c(X76,X74))))))&(![X77]:(![X78]:((incident_c(skolem0016(X77,X78),X78)&~incident_c(skolem0016(X77,X78),X77))|part_of(X78,X77))))),inference(skolemize,status(esa),[c120])).])).
% 4.12/4.32 fof(c123,axiom,(![X74]:(![X75]:(![X76]:(![X77]:(![X78]:((~part_of(X75,X74)|(~incident_c(X76,X75)|incident_c(X76,X74)))&((incident_c(skolem0016(X77,X78),X78)|part_of(X78,X77))&(~incident_c(skolem0016(X77,X78),X77)|part_of(X78,X77))))))))),inference(distribute,status(thm),[c122])).
% 4.12/4.32 cnf(c126,axiom,~incident_c(skolem0016(X162,X163),X162)|part_of(X163,X162),inference(split_conjunct,status(thm),[c123])).
% 4.12/4.32 cnf(c13,negated_conjecture,part_of(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c11])).
% 4.12/4.32 cnf(c124,axiom,~part_of(X174,X173)|~incident_c(X172,X174)|incident_c(X172,X173),inference(split_conjunct,status(thm),[c123])).
% 4.12/4.32 cnf(c12,negated_conjecture,part_of(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c11])).
% 4.12/4.32 cnf(c125,axiom,incident_c(skolem0016(X158,X159),X159)|part_of(X159,X158),inference(split_conjunct,status(thm),[c123])).
% 4.12/4.32 cnf(c199,plain,incident_c(skolem0016(skolem0003,skolem0001),skolem0001),inference(resolution,status(thm),[c125, c14])).
% 4.12/4.32 cnf(c225,plain,~part_of(skolem0001,X417)|incident_c(skolem0016(skolem0003,skolem0001),X417),inference(resolution,status(thm),[c124, c199])).
% 4.12/4.32 cnf(c1601,plain,incident_c(skolem0016(skolem0003,skolem0001),skolem0002),inference(resolution,status(thm),[c225, c12])).
% 4.12/4.32 cnf(c1602,plain,~part_of(skolem0002,X1734)|incident_c(skolem0016(skolem0003,skolem0001),X1734),inference(resolution,status(thm),[c1601, c124])).
% 4.12/4.32 cnf(c9511,plain,incident_c(skolem0016(skolem0003,skolem0001),skolem0003),inference(resolution,status(thm),[c1602, c13])).
% 4.12/4.32 cnf(c9527,plain,part_of(skolem0001,skolem0003),inference(resolution,status(thm),[c9511, c126])).
% 4.12/4.32 cnf(c9550,plain,$false,inference(resolution,status(thm),[c9527, c14])).
% 4.12/4.32 # SZS output end CNFRefutation
% 4.12/4.32
% 4.12/4.32 # Initial clauses : 57
% 4.12/4.32 # Processed clauses : 609
% 4.12/4.32 # Factors computed : 12
% 4.12/4.32 # Resolvents computed: 9412
% 4.12/4.32 # Tautologies deleted: 17
% 4.12/4.32 # Forward subsumed : 698
% 4.12/4.32 # Backward subsumed : 65
% 4.12/4.32 # -------- CPU Time ---------
% 4.12/4.32 # User time : 4.011 s
% 4.12/4.32 # System time : 0.030 s
% 4.12/4.32 # Total time : 4.041 s
%------------------------------------------------------------------------------