TSTP Solution File: GEO265+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO265+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n026.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 05:59:54 EDT 2022
% Result : Theorem 0.39s 0.57s
% Output : Refutation 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO265+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.32 % Computer : n026.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Fri Jun 17 22:28:54 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.39/0.57 # Version: 1.3
% 0.39/0.57 # SZS status Theorem
% 0.39/0.57 # SZS output start CNFRefutation
% 0.39/0.57 fof(con,conjecture,(![L]:(![M]:(equally_directed_lines(L,reverse_line(M))=>equally_directed_opposite_lines(L,M)))),input).
% 0.39/0.57 fof(c0,negated_conjecture,(~(![L]:(![M]:(equally_directed_lines(L,reverse_line(M))=>equally_directed_opposite_lines(L,M))))),inference(assume_negation,status(cth),[con])).
% 0.39/0.57 fof(c1,negated_conjecture,(?[L]:(?[M]:(equally_directed_lines(L,reverse_line(M))&~equally_directed_opposite_lines(L,M)))),inference(fof_nnf,status(thm),[c0])).
% 0.39/0.57 fof(c2,negated_conjecture,(?[X2]:(?[X3]:(equally_directed_lines(X2,reverse_line(X3))&~equally_directed_opposite_lines(X2,X3)))),inference(variable_rename,status(thm),[c1])).
% 0.39/0.57 fof(c3,negated_conjecture,(equally_directed_lines(skolem0001,reverse_line(skolem0002))&~equally_directed_opposite_lines(skolem0001,skolem0002)),inference(skolemize,status(esa),[c2])).
% 0.39/0.57 cnf(c4,negated_conjecture,equally_directed_lines(skolem0001,reverse_line(skolem0002)),inference(split_conjunct,status(thm),[c3])).
% 0.39/0.57 fof(a4_defns,axiom,(![X]:(![Y]:(equally_directed_lines(X,Y)<=>(~unequally_directed_lines(X,Y))))),input).
% 0.39/0.57 fof(c162,axiom,(![X]:(![Y]:(equally_directed_lines(X,Y)<=>~unequally_directed_lines(X,Y)))),inference(fof_simplification,status(thm),[a4_defns])).
% 0.39/0.57 fof(c163,axiom,(![X]:(![Y]:((~equally_directed_lines(X,Y)|~unequally_directed_lines(X,Y))&(unequally_directed_lines(X,Y)|equally_directed_lines(X,Y))))),inference(fof_nnf,status(thm),[c162])).
% 0.39/0.57 fof(c164,axiom,((![X]:(![Y]:(~equally_directed_lines(X,Y)|~unequally_directed_lines(X,Y))))&(![X]:(![Y]:(unequally_directed_lines(X,Y)|equally_directed_lines(X,Y))))),inference(shift_quantors,status(thm),[c163])).
% 0.39/0.57 fof(c166,axiom,(![X97]:(![X98]:(![X99]:(![X100]:((~equally_directed_lines(X97,X98)|~unequally_directed_lines(X97,X98))&(unequally_directed_lines(X99,X100)|equally_directed_lines(X99,X100))))))),inference(shift_quantors,status(thm),[fof(c165,axiom,((![X97]:(![X98]:(~equally_directed_lines(X97,X98)|~unequally_directed_lines(X97,X98))))&(![X99]:(![X100]:(unequally_directed_lines(X99,X100)|equally_directed_lines(X99,X100))))),inference(variable_rename,status(thm),[c164])).])).
% 0.39/0.57 cnf(c167,axiom,~equally_directed_lines(X151,X152)|~unequally_directed_lines(X151,X152),inference(split_conjunct,status(thm),[c166])).
% 0.39/0.57 cnf(c5,negated_conjecture,~equally_directed_opposite_lines(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c3])).
% 0.39/0.57 fof(a5_defns,axiom,(![X]:(![Y]:(equally_directed_opposite_lines(X,Y)<=>(~unequally_directed_opposite_lines(X,Y))))),input).
% 0.39/0.57 fof(c155,axiom,(![X]:(![Y]:(equally_directed_opposite_lines(X,Y)<=>~unequally_directed_opposite_lines(X,Y)))),inference(fof_simplification,status(thm),[a5_defns])).
% 0.39/0.57 fof(c156,axiom,(![X]:(![Y]:((~equally_directed_opposite_lines(X,Y)|~unequally_directed_opposite_lines(X,Y))&(unequally_directed_opposite_lines(X,Y)|equally_directed_opposite_lines(X,Y))))),inference(fof_nnf,status(thm),[c155])).
% 0.39/0.57 fof(c157,axiom,((![X]:(![Y]:(~equally_directed_opposite_lines(X,Y)|~unequally_directed_opposite_lines(X,Y))))&(![X]:(![Y]:(unequally_directed_opposite_lines(X,Y)|equally_directed_opposite_lines(X,Y))))),inference(shift_quantors,status(thm),[c156])).
% 0.39/0.57 fof(c159,axiom,(![X93]:(![X94]:(![X95]:(![X96]:((~equally_directed_opposite_lines(X93,X94)|~unequally_directed_opposite_lines(X93,X94))&(unequally_directed_opposite_lines(X95,X96)|equally_directed_opposite_lines(X95,X96))))))),inference(shift_quantors,status(thm),[fof(c158,axiom,((![X93]:(![X94]:(~equally_directed_opposite_lines(X93,X94)|~unequally_directed_opposite_lines(X93,X94))))&(![X95]:(![X96]:(unequally_directed_opposite_lines(X95,X96)|equally_directed_opposite_lines(X95,X96))))),inference(variable_rename,status(thm),[c157])).])).
% 0.39/0.57 cnf(c161,axiom,unequally_directed_opposite_lines(X146,X147)|equally_directed_opposite_lines(X146,X147),inference(split_conjunct,status(thm),[c159])).
% 0.39/0.57 cnf(c188,plain,unequally_directed_opposite_lines(skolem0001,skolem0002),inference(resolution,status(thm),[c161, c5])).
% 0.39/0.57 fof(a1_defns,axiom,(![X]:(![Y]:(unequally_directed_opposite_lines(X,Y)<=>unequally_directed_lines(X,reverse_line(Y))))),input).
% 0.39/0.57 fof(c181,axiom,(![X]:(![Y]:((~unequally_directed_opposite_lines(X,Y)|unequally_directed_lines(X,reverse_line(Y)))&(~unequally_directed_lines(X,reverse_line(Y))|unequally_directed_opposite_lines(X,Y))))),inference(fof_nnf,status(thm),[a1_defns])).
% 0.39/0.57 fof(c182,axiom,((![X]:(![Y]:(~unequally_directed_opposite_lines(X,Y)|unequally_directed_lines(X,reverse_line(Y)))))&(![X]:(![Y]:(~unequally_directed_lines(X,reverse_line(Y))|unequally_directed_opposite_lines(X,Y))))),inference(shift_quantors,status(thm),[c181])).
% 0.39/0.57 fof(c184,axiom,(![X109]:(![X110]:(![X111]:(![X112]:((~unequally_directed_opposite_lines(X109,X110)|unequally_directed_lines(X109,reverse_line(X110)))&(~unequally_directed_lines(X111,reverse_line(X112))|unequally_directed_opposite_lines(X111,X112))))))),inference(shift_quantors,status(thm),[fof(c183,axiom,((![X109]:(![X110]:(~unequally_directed_opposite_lines(X109,X110)|unequally_directed_lines(X109,reverse_line(X110)))))&(![X111]:(![X112]:(~unequally_directed_lines(X111,reverse_line(X112))|unequally_directed_opposite_lines(X111,X112))))),inference(variable_rename,status(thm),[c182])).])).
% 0.39/0.57 cnf(c185,axiom,~unequally_directed_opposite_lines(X186,X185)|unequally_directed_lines(X186,reverse_line(X185)),inference(split_conjunct,status(thm),[c184])).
% 0.39/0.57 cnf(c193,plain,unequally_directed_lines(skolem0001,reverse_line(skolem0002)),inference(resolution,status(thm),[c185, c188])).
% 0.39/0.57 cnf(c195,plain,~equally_directed_lines(skolem0001,reverse_line(skolem0002)),inference(resolution,status(thm),[c193, c167])).
% 0.39/0.57 cnf(c196,plain,$false,inference(resolution,status(thm),[c195, c4])).
% 0.39/0.57 # SZS output end CNFRefutation
% 0.39/0.57
% 0.39/0.57 # Initial clauses : 68
% 0.39/0.57 # Processed clauses : 30
% 0.39/0.57 # Factors computed : 0
% 0.39/0.57 # Resolvents computed: 11
% 0.39/0.57 # Tautologies deleted: 2
% 0.39/0.57 # Forward subsumed : 10
% 0.39/0.57 # Backward subsumed : 0
% 0.39/0.57 # -------- CPU Time ---------
% 0.39/0.57 # User time : 0.236 s
% 0.39/0.57 # System time : 0.006 s
% 0.39/0.57 # Total time : 0.242 s
%------------------------------------------------------------------------------