TSTP Solution File: GEO183+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO183+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 05:58:58 EDT 2022
% Result : Theorem 0.56s 0.77s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO183+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 10:51:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.56/0.77 # Version: 1.3
% 0.56/0.77 # SZS status Theorem
% 0.56/0.77 # SZS output start CNFRefutation
% 0.56/0.77 fof(con,conjecture,(![X]:(![Y]:(![U]:(![V]:(((distinct_points(X,Y)&convergent_lines(U,V))&(~distinct_lines(U,line_connecting(X,Y))))=>((~apart_point_and_line(X,U))&(~apart_point_and_line(Y,U)))))))),input).
% 0.56/0.77 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![U]:(![V]:(((distinct_points(X,Y)&convergent_lines(U,V))&(~distinct_lines(U,line_connecting(X,Y))))=>((~apart_point_and_line(X,U))&(~apart_point_and_line(Y,U))))))))),inference(assume_negation,status(cth),[con])).
% 0.56/0.77 fof(c1,negated_conjecture,(~(![X]:(![Y]:(![U]:(![V]:(((distinct_points(X,Y)&convergent_lines(U,V))&~distinct_lines(U,line_connecting(X,Y)))=>(~apart_point_and_line(X,U)&~apart_point_and_line(Y,U)))))))),inference(fof_simplification,status(thm),[c0])).
% 0.56/0.77 fof(c2,negated_conjecture,(?[X]:(?[Y]:(?[U]:(?[V]:(((distinct_points(X,Y)&convergent_lines(U,V))&~distinct_lines(U,line_connecting(X,Y)))&(apart_point_and_line(X,U)|apart_point_and_line(Y,U))))))),inference(fof_nnf,status(thm),[c1])).
% 0.56/0.77 fof(c3,negated_conjecture,(?[X]:(?[Y]:(?[U]:(((distinct_points(X,Y)&(?[V]:convergent_lines(U,V)))&~distinct_lines(U,line_connecting(X,Y)))&(apart_point_and_line(X,U)|apart_point_and_line(Y,U)))))),inference(shift_quantors,status(thm),[c2])).
% 0.56/0.77 fof(c4,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(((distinct_points(X2,X3)&(?[X5]:convergent_lines(X4,X5)))&~distinct_lines(X4,line_connecting(X2,X3)))&(apart_point_and_line(X2,X4)|apart_point_and_line(X3,X4)))))),inference(variable_rename,status(thm),[c3])).
% 0.56/0.77 fof(c5,negated_conjecture,(((distinct_points(skolem0001,skolem0002)&convergent_lines(skolem0003,skolem0004))&~distinct_lines(skolem0003,line_connecting(skolem0001,skolem0002)))&(apart_point_and_line(skolem0001,skolem0003)|apart_point_and_line(skolem0002,skolem0003))),inference(skolemize,status(esa),[c4])).
% 0.56/0.77 cnf(c6,negated_conjecture,distinct_points(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c5])).
% 0.56/0.77 fof(ci2,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>(~apart_point_and_line(Y,line_connecting(X,Y)))))),input).
% 0.56/0.77 fof(c36,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>~apart_point_and_line(Y,line_connecting(X,Y))))),inference(fof_simplification,status(thm),[ci2])).
% 0.56/0.77 fof(c37,axiom,(![X]:(![Y]:(~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y))))),inference(fof_nnf,status(thm),[c36])).
% 0.56/0.77 fof(c38,axiom,(![X23]:(![X24]:(~distinct_points(X23,X24)|~apart_point_and_line(X24,line_connecting(X23,X24))))),inference(variable_rename,status(thm),[c37])).
% 0.56/0.77 cnf(c39,axiom,~distinct_points(X46,X47)|~apart_point_and_line(X47,line_connecting(X46,X47)),inference(split_conjunct,status(thm),[c38])).
% 0.56/0.77 cnf(c8,negated_conjecture,~distinct_lines(skolem0003,line_connecting(skolem0001,skolem0002)),inference(split_conjunct,status(thm),[c5])).
% 0.56/0.77 fof(ceq2,axiom,(![X]:(![Y]:(![Z]:(apart_point_and_line(X,Y)=>(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),input).
% 0.56/0.77 fof(c15,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])).
% 0.56/0.77 fof(c16,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),[c15])).
% 0.56/0.77 fof(c18,axiom,(![X9]:(![X10]:(![X11]:(~apart_point_and_line(X9,X10)|(distinct_lines(X10,X11)|apart_point_and_line(X9,X11)))))),inference(shift_quantors,status(thm),[fof(c17,axiom,(![X9]:(![X10]:(~apart_point_and_line(X9,X10)|(![X11]:(distinct_lines(X10,X11)|apart_point_and_line(X9,X11)))))),inference(variable_rename,status(thm),[c16])).])).
% 0.56/0.77 cnf(c19,axiom,~apart_point_and_line(X56,X55)|distinct_lines(X55,X54)|apart_point_and_line(X56,X54),inference(split_conjunct,status(thm),[c18])).
% 0.56/0.77 fof(ci1,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>(~apart_point_and_line(X,line_connecting(X,Y)))))),input).
% 0.56/0.77 fof(c40,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>~apart_point_and_line(X,line_connecting(X,Y))))),inference(fof_simplification,status(thm),[ci1])).
% 0.56/0.77 fof(c41,axiom,(![X]:(![Y]:(~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y))))),inference(fof_nnf,status(thm),[c40])).
% 0.56/0.77 fof(c42,axiom,(![X25]:(![X26]:(~distinct_points(X25,X26)|~apart_point_and_line(X25,line_connecting(X25,X26))))),inference(variable_rename,status(thm),[c41])).
% 0.56/0.77 cnf(c43,axiom,~distinct_points(X49,X48)|~apart_point_and_line(X49,line_connecting(X49,X48)),inference(split_conjunct,status(thm),[c42])).
% 0.56/0.77 cnf(c9,negated_conjecture,apart_point_and_line(skolem0001,skolem0003)|apart_point_and_line(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c5])).
% 0.56/0.77 cnf(c72,plain,distinct_lines(skolem0003,X84)|apart_point_and_line(skolem0001,X84)|apart_point_and_line(skolem0002,skolem0003),inference(resolution,status(thm),[c19, c9])).
% 0.56/0.77 cnf(c136,plain,apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0002))|apart_point_and_line(skolem0002,skolem0003),inference(resolution,status(thm),[c72, c8])).
% 0.56/0.77 cnf(c728,plain,apart_point_and_line(skolem0002,skolem0003)|~distinct_points(skolem0001,skolem0002),inference(resolution,status(thm),[c136, c43])).
% 0.56/0.77 cnf(c737,plain,apart_point_and_line(skolem0002,skolem0003),inference(resolution,status(thm),[c728, c6])).
% 0.56/0.77 cnf(c742,plain,distinct_lines(skolem0003,X265)|apart_point_and_line(skolem0002,X265),inference(resolution,status(thm),[c737, c19])).
% 0.56/0.77 cnf(c747,plain,apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002)),inference(resolution,status(thm),[c742, c8])).
% 0.56/0.77 cnf(c769,plain,~distinct_points(skolem0001,skolem0002),inference(resolution,status(thm),[c747, c39])).
% 0.56/0.77 cnf(c774,plain,$false,inference(resolution,status(thm),[c769, c6])).
% 0.56/0.77 # SZS output end CNFRefutation
% 0.56/0.77
% 0.56/0.77 # Initial clauses : 18
% 0.56/0.77 # Processed clauses : 95
% 0.56/0.77 # Factors computed : 42
% 0.56/0.77 # Resolvents computed: 668
% 0.56/0.77 # Tautologies deleted: 0
% 0.56/0.77 # Forward subsumed : 137
% 0.56/0.77 # Backward subsumed : 9
% 0.56/0.77 # -------- CPU Time ---------
% 0.56/0.77 # User time : 0.414 s
% 0.56/0.77 # System time : 0.015 s
% 0.56/0.77 # Total time : 0.429 s
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