TSTP Solution File: GEO180+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO180+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n011.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 05:58:56 EDT 2022
% Result : Theorem 136.13s 136.31s
% Output : Refutation 136.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO180+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 18 04:06:37 EDT 2022
% 0.14/0.36 % CPUTime :
% 136.13/136.31 # Version: 1.3
% 136.13/136.31 # SZS status Theorem
% 136.13/136.31 # SZS output start CNFRefutation
% 136.13/136.31 fof(con,conjecture,(![X]:(![Y]:(![Z]:(distinct_points(X,Y)=>(apart_point_and_line(Z,line_connecting(X,Y))=>apart_point_and_line(X,line_connecting(Z,Y))))))),input).
% 136.13/136.31 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![Z]:(distinct_points(X,Y)=>(apart_point_and_line(Z,line_connecting(X,Y))=>apart_point_and_line(X,line_connecting(Z,Y)))))))),inference(assume_negation,status(cth),[con])).
% 136.13/136.31 fof(c1,negated_conjecture,(?[X]:(?[Y]:(?[Z]:(distinct_points(X,Y)&(apart_point_and_line(Z,line_connecting(X,Y))&~apart_point_and_line(X,line_connecting(Z,Y))))))),inference(fof_nnf,status(thm),[c0])).
% 136.13/136.31 fof(c2,negated_conjecture,(?[X]:(?[Y]:(distinct_points(X,Y)&(?[Z]:(apart_point_and_line(Z,line_connecting(X,Y))&~apart_point_and_line(X,line_connecting(Z,Y))))))),inference(shift_quantors,status(thm),[c1])).
% 136.13/136.31 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(distinct_points(X2,X3)&(?[X4]:(apart_point_and_line(X4,line_connecting(X2,X3))&~apart_point_and_line(X2,line_connecting(X4,X3))))))),inference(variable_rename,status(thm),[c2])).
% 136.13/136.31 fof(c4,negated_conjecture,(distinct_points(skolem0001,skolem0002)&(apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002))&~apart_point_and_line(skolem0001,line_connecting(skolem0003,skolem0002)))),inference(skolemize,status(esa),[c3])).
% 136.13/136.31 cnf(c5,negated_conjecture,distinct_points(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c4])).
% 136.13/136.31 fof(ci2,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>(~apart_point_and_line(Y,line_connecting(X,Y)))))),input).
% 136.13/136.31 fof(c34,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>~apart_point_and_line(Y,line_connecting(X,Y))))),inference(fof_simplification,status(thm),[ci2])).
% 136.13/136.31 fof(c35,axiom,(![X]:(![Y]:(~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y))))),inference(fof_nnf,status(thm),[c34])).
% 136.13/136.31 fof(c36,axiom,(![X22]:(![X23]:(~distinct_points(X22,X23)|~apart_point_and_line(X23,line_connecting(X22,X23))))),inference(variable_rename,status(thm),[c35])).
% 136.13/136.31 cnf(c37,axiom,~distinct_points(X45,X46)|~apart_point_and_line(X46,line_connecting(X45,X46)),inference(split_conjunct,status(thm),[c36])).
% 136.13/136.31 cnf(c6,negated_conjecture,apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002)),inference(split_conjunct,status(thm),[c4])).
% 136.13/136.31 fof(ceq1,axiom,(![X]:(![Y]:(![Z]:(apart_point_and_line(X,Y)=>(distinct_points(X,Z)|apart_point_and_line(Z,Y)))))),input).
% 136.13/136.31 fof(c18,axiom,(![X]:(![Y]:(![Z]:(~apart_point_and_line(X,Y)|(distinct_points(X,Z)|apart_point_and_line(Z,Y)))))),inference(fof_nnf,status(thm),[ceq1])).
% 136.13/136.31 fof(c19,axiom,(![X]:(![Y]:(~apart_point_and_line(X,Y)|(![Z]:(distinct_points(X,Z)|apart_point_and_line(Z,Y)))))),inference(shift_quantors,status(thm),[c18])).
% 136.13/136.31 fof(c21,axiom,(![X11]:(![X12]:(![X13]:(~apart_point_and_line(X11,X12)|(distinct_points(X11,X13)|apart_point_and_line(X13,X12)))))),inference(shift_quantors,status(thm),[fof(c20,axiom,(![X11]:(![X12]:(~apart_point_and_line(X11,X12)|(![X13]:(distinct_points(X11,X13)|apart_point_and_line(X13,X12)))))),inference(variable_rename,status(thm),[c19])).])).
% 136.13/136.31 cnf(c22,axiom,~apart_point_and_line(X56,X55)|distinct_points(X56,X57)|apart_point_and_line(X57,X55),inference(split_conjunct,status(thm),[c21])).
% 136.13/136.31 cnf(c67,plain,distinct_points(skolem0003,X74)|apart_point_and_line(X74,line_connecting(skolem0001,skolem0002)),inference(resolution,status(thm),[c22, c6])).
% 136.13/136.31 cnf(c87,plain,distinct_points(skolem0003,skolem0002)|~distinct_points(skolem0001,skolem0002),inference(resolution,status(thm),[c67, c37])).
% 136.13/136.31 cnf(c89,plain,distinct_points(skolem0003,skolem0002),inference(resolution,status(thm),[c87, c5])).
% 136.13/136.31 fof(ci1,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>(~apart_point_and_line(X,line_connecting(X,Y)))))),input).
% 136.13/136.31 fof(c38,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>~apart_point_and_line(X,line_connecting(X,Y))))),inference(fof_simplification,status(thm),[ci1])).
% 136.13/136.31 fof(c39,axiom,(![X]:(![Y]:(~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y))))),inference(fof_nnf,status(thm),[c38])).
% 136.13/136.31 fof(c40,axiom,(![X24]:(![X25]:(~distinct_points(X24,X25)|~apart_point_and_line(X24,line_connecting(X24,X25))))),inference(variable_rename,status(thm),[c39])).
% 136.13/136.31 cnf(c41,axiom,~distinct_points(X48,X47)|~apart_point_and_line(X48,line_connecting(X48,X47)),inference(split_conjunct,status(thm),[c40])).
% 136.13/136.31 cnf(c7,negated_conjecture,~apart_point_and_line(skolem0001,line_connecting(skolem0003,skolem0002)),inference(split_conjunct,status(thm),[c4])).
% 136.13/136.31 fof(cu1,axiom,(![X]:(![Y]:(![U]:(![V]:((distinct_points(X,Y)&distinct_lines(U,V))=>(((apart_point_and_line(X,U)|apart_point_and_line(X,V))|apart_point_and_line(Y,U))|apart_point_and_line(Y,V))))))),input).
% 136.13/136.31 fof(c23,axiom,(![X]:(![Y]:(![U]:(![V]:((~distinct_points(X,Y)|~distinct_lines(U,V))|(((apart_point_and_line(X,U)|apart_point_and_line(X,V))|apart_point_and_line(Y,U))|apart_point_and_line(Y,V))))))),inference(fof_nnf,status(thm),[cu1])).
% 136.13/136.31 fof(c24,axiom,(![X14]:(![X15]:(![X16]:(![X17]:((~distinct_points(X14,X15)|~distinct_lines(X16,X17))|(((apart_point_and_line(X14,X16)|apart_point_and_line(X14,X17))|apart_point_and_line(X15,X16))|apart_point_and_line(X15,X17))))))),inference(variable_rename,status(thm),[c23])).
% 136.13/136.31 cnf(c25,axiom,~distinct_points(X68,X69)|~distinct_lines(X71,X70)|apart_point_and_line(X68,X71)|apart_point_and_line(X68,X70)|apart_point_and_line(X69,X71)|apart_point_and_line(X69,X70),inference(split_conjunct,status(thm),[c24])).
% 136.13/136.31 fof(ceq2,axiom,(![X]:(![Y]:(![Z]:(apart_point_and_line(X,Y)=>(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),input).
% 136.13/136.31 fof(c13,axiom,(![X]:(![Y]:(![Z]:(~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),inference(fof_nnf,status(thm),[ceq2])).
% 136.13/136.31 fof(c14,axiom,(![X]:(![Y]:(~apart_point_and_line(X,Y)|(![Z]:(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),inference(shift_quantors,status(thm),[c13])).
% 136.13/136.31 fof(c16,axiom,(![X8]:(![X9]:(![X10]:(~apart_point_and_line(X8,X9)|(distinct_lines(X9,X10)|apart_point_and_line(X8,X10)))))),inference(shift_quantors,status(thm),[fof(c15,axiom,(![X8]:(![X9]:(~apart_point_and_line(X8,X9)|(![X10]:(distinct_lines(X9,X10)|apart_point_and_line(X8,X10)))))),inference(variable_rename,status(thm),[c14])).])).
% 136.13/136.31 cnf(c17,axiom,~apart_point_and_line(X53,X52)|distinct_lines(X52,X54)|apart_point_and_line(X53,X54),inference(split_conjunct,status(thm),[c16])).
% 136.13/136.31 cnf(c66,plain,distinct_lines(line_connecting(skolem0001,skolem0002),X73)|apart_point_and_line(skolem0003,X73),inference(resolution,status(thm),[c17, c6])).
% 136.13/136.31 cnf(c75,plain,apart_point_and_line(skolem0003,X86)|~distinct_points(X87,X88)|apart_point_and_line(X87,line_connecting(skolem0001,skolem0002))|apart_point_and_line(X87,X86)|apart_point_and_line(X88,line_connecting(skolem0001,skolem0002))|apart_point_and_line(X88,X86),inference(resolution,status(thm),[c66, c25])).
% 136.13/136.31 cnf(c121,plain,apart_point_and_line(skolem0003,X186)|apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0002))|apart_point_and_line(skolem0001,X186)|apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002))|apart_point_and_line(skolem0002,X186),inference(resolution,status(thm),[c75, c5])).
% 136.13/136.31 cnf(c528,plain,apart_point_and_line(skolem0003,X2393)|apart_point_and_line(skolem0001,X2393)|apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002))|apart_point_and_line(skolem0002,X2393)|~distinct_points(skolem0001,skolem0002),inference(resolution,status(thm),[c121, c41])).
% 136.13/136.31 cnf(c11989,plain,apart_point_and_line(skolem0003,X8694)|apart_point_and_line(skolem0001,X8694)|apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002))|apart_point_and_line(skolem0002,X8694),inference(resolution,status(thm),[c528, c5])).
% 136.13/136.31 cnf(c134599,plain,apart_point_and_line(skolem0003,X8695)|apart_point_and_line(skolem0001,X8695)|apart_point_and_line(skolem0002,X8695)|~distinct_points(skolem0001,skolem0002),inference(resolution,status(thm),[c11989, c37])).
% 136.13/136.31 cnf(c134959,plain,apart_point_and_line(skolem0003,X8696)|apart_point_and_line(skolem0001,X8696)|apart_point_and_line(skolem0002,X8696),inference(resolution,status(thm),[c134599, c5])).
% 136.13/136.31 cnf(c135379,plain,apart_point_and_line(skolem0003,line_connecting(skolem0003,skolem0002))|apart_point_and_line(skolem0002,line_connecting(skolem0003,skolem0002)),inference(resolution,status(thm),[c134959, c7])).
% 136.13/136.31 cnf(c135769,plain,apart_point_and_line(skolem0002,line_connecting(skolem0003,skolem0002))|~distinct_points(skolem0003,skolem0002),inference(resolution,status(thm),[c135379, c41])).
% 136.13/136.31 cnf(c136401,plain,apart_point_and_line(skolem0002,line_connecting(skolem0003,skolem0002)),inference(resolution,status(thm),[c135769, c89])).
% 136.13/136.31 cnf(c136520,plain,~distinct_points(skolem0003,skolem0002),inference(resolution,status(thm),[c136401, c37])).
% 136.13/136.31 cnf(c137149,plain,$false,inference(resolution,status(thm),[c136520, c89])).
% 136.13/136.31 # SZS output end CNFRefutation
% 136.13/136.31
% 136.13/136.31 # Initial clauses : 17
% 136.13/136.31 # Processed clauses : 778
% 136.13/136.31 # Factors computed : 2630
% 136.13/136.31 # Resolvents computed: 134570
% 136.13/136.31 # Tautologies deleted: 3
% 136.13/136.31 # Forward subsumed : 3900
% 136.13/136.31 # Backward subsumed : 38
% 136.13/136.31 # -------- CPU Time ---------
% 136.13/136.31 # User time : 135.460 s
% 136.13/136.31 # System time : 0.472 s
% 136.13/136.31 # Total time : 135.932 s
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