TSTP Solution File: GEO208+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO208+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n008.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 05:59:18 EDT 2022
% Result : Theorem 0.46s 0.68s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO208+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 17 22:28:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.46/0.68 # Version: 1.3
% 0.46/0.68 # SZS status Theorem
% 0.46/0.68 # SZS output start CNFRefutation
% 0.46/0.68 fof(con,conjecture,(![X]:(![Y]:(![Z]:(((incident_point_and_line(X,Y)&incident_point_and_line(X,Z))¶llel_lines(Y,Z))=>equal_lines(Y,Z))))),input).
% 0.46/0.68 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![Z]:(((incident_point_and_line(X,Y)&incident_point_and_line(X,Z))¶llel_lines(Y,Z))=>equal_lines(Y,Z)))))),inference(assume_negation,status(cth),[con])).
% 0.46/0.68 fof(c1,negated_conjecture,(?[X]:(?[Y]:(?[Z]:(((incident_point_and_line(X,Y)&incident_point_and_line(X,Z))¶llel_lines(Y,Z))&~equal_lines(Y,Z))))),inference(fof_nnf,status(thm),[c0])).
% 0.46/0.68 fof(c2,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(((incident_point_and_line(X2,X3)&incident_point_and_line(X2,X4))¶llel_lines(X3,X4))&~equal_lines(X3,X4))))),inference(variable_rename,status(thm),[c1])).
% 0.46/0.68 fof(c3,negated_conjecture,(((incident_point_and_line(skolem0001,skolem0002)&incident_point_and_line(skolem0001,skolem0003))¶llel_lines(skolem0002,skolem0003))&~equal_lines(skolem0002,skolem0003)),inference(skolemize,status(esa),[c2])).
% 0.46/0.68 cnf(c6,negated_conjecture,parallel_lines(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c3])).
% 0.46/0.68 fof(a3,axiom,(![X]:(![Y]:(parallel_lines(X,Y)<=>(~convergent_lines(X,Y))))),input).
% 0.46/0.68 fof(c22,axiom,(![X]:(![Y]:(parallel_lines(X,Y)<=>~convergent_lines(X,Y)))),inference(fof_simplification,status(thm),[a3])).
% 0.46/0.68 fof(c23,axiom,(![X]:(![Y]:((~parallel_lines(X,Y)|~convergent_lines(X,Y))&(convergent_lines(X,Y)|parallel_lines(X,Y))))),inference(fof_nnf,status(thm),[c22])).
% 0.46/0.68 fof(c24,axiom,((![X]:(![Y]:(~parallel_lines(X,Y)|~convergent_lines(X,Y))))&(![X]:(![Y]:(convergent_lines(X,Y)|parallel_lines(X,Y))))),inference(shift_quantors,status(thm),[c23])).
% 0.46/0.68 fof(c26,axiom,(![X13]:(![X14]:(![X15]:(![X16]:((~parallel_lines(X13,X14)|~convergent_lines(X13,X14))&(convergent_lines(X15,X16)|parallel_lines(X15,X16))))))),inference(shift_quantors,status(thm),[fof(c25,axiom,((![X13]:(![X14]:(~parallel_lines(X13,X14)|~convergent_lines(X13,X14))))&(![X15]:(![X16]:(convergent_lines(X15,X16)|parallel_lines(X15,X16))))),inference(variable_rename,status(thm),[c24])).])).
% 0.46/0.68 cnf(c27,axiom,~parallel_lines(X119,X120)|~convergent_lines(X119,X120),inference(split_conjunct,status(thm),[c26])).
% 0.46/0.68 cnf(c7,negated_conjecture,~equal_lines(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c3])).
% 0.46/0.68 fof(ax2,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>(~distinct_lines(X,Y))))),input).
% 0.46/0.68 fof(c29,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>~distinct_lines(X,Y)))),inference(fof_simplification,status(thm),[ax2])).
% 0.46/0.68 fof(c30,axiom,(![X]:(![Y]:((~equal_lines(X,Y)|~distinct_lines(X,Y))&(distinct_lines(X,Y)|equal_lines(X,Y))))),inference(fof_nnf,status(thm),[c29])).
% 0.46/0.68 fof(c31,axiom,((![X]:(![Y]:(~equal_lines(X,Y)|~distinct_lines(X,Y))))&(![X]:(![Y]:(distinct_lines(X,Y)|equal_lines(X,Y))))),inference(shift_quantors,status(thm),[c30])).
% 0.46/0.68 fof(c33,axiom,(![X17]:(![X18]:(![X19]:(![X20]:((~equal_lines(X17,X18)|~distinct_lines(X17,X18))&(distinct_lines(X19,X20)|equal_lines(X19,X20))))))),inference(shift_quantors,status(thm),[fof(c32,axiom,((![X17]:(![X18]:(~equal_lines(X17,X18)|~distinct_lines(X17,X18))))&(![X19]:(![X20]:(distinct_lines(X19,X20)|equal_lines(X19,X20))))),inference(variable_rename,status(thm),[c31])).])).
% 0.46/0.68 cnf(c35,axiom,distinct_lines(X131,X130)|equal_lines(X131,X130),inference(split_conjunct,status(thm),[c33])).
% 0.46/0.68 cnf(c173,plain,distinct_lines(skolem0002,skolem0003),inference(resolution,status(thm),[c35, c7])).
% 0.46/0.68 fof(p1,axiom,(![X]:(![Y]:(distinct_lines(X,Y)=>convergent_lines(X,Y)))),input).
% 0.46/0.68 fof(c102,axiom,(![X]:(![Y]:(~distinct_lines(X,Y)|convergent_lines(X,Y)))),inference(fof_nnf,status(thm),[p1])).
% 0.46/0.68 fof(c103,axiom,(![X61]:(![X62]:(~distinct_lines(X61,X62)|convergent_lines(X61,X62)))),inference(variable_rename,status(thm),[c102])).
% 0.46/0.68 cnf(c104,axiom,~distinct_lines(X163,X164)|convergent_lines(X163,X164),inference(split_conjunct,status(thm),[c103])).
% 0.46/0.68 cnf(c192,plain,convergent_lines(skolem0002,skolem0003),inference(resolution,status(thm),[c104, c173])).
% 0.46/0.68 cnf(c193,plain,~parallel_lines(skolem0002,skolem0003),inference(resolution,status(thm),[c192, c27])).
% 0.46/0.68 cnf(c196,plain,$false,inference(resolution,status(thm),[c193, c6])).
% 0.46/0.68 # SZS output end CNFRefutation
% 0.46/0.68
% 0.46/0.68 # Initial clauses : 50
% 0.46/0.68 # Processed clauses : 43
% 0.46/0.68 # Factors computed : 0
% 0.46/0.68 # Resolvents computed: 35
% 0.46/0.68 # Tautologies deleted: 0
% 0.46/0.68 # Forward subsumed : 5
% 0.46/0.68 # Backward subsumed : 0
% 0.46/0.68 # -------- CPU Time ---------
% 0.46/0.68 # User time : 0.313 s
% 0.46/0.68 # System time : 0.016 s
% 0.46/0.68 # Total time : 0.329 s
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