TSTP Solution File: GEO175+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO175+1 : TPTP v8.1.0. Released v3.3.0.
% 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 05:58:52 EDT 2022
% Result : Theorem 117.11s 117.33s
% Output : Refutation 117.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO175+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 01:37:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 117.11/117.33 # Version: 1.3
% 117.11/117.33 # SZS status Theorem
% 117.11/117.33 # SZS output start CNFRefutation
% 117.11/117.33 fof(con,conjecture,(![X]:(![Y]:(![U]:(![V]:(((distinct_points(X,Y)&convergent_lines(U,V))&distinct_points(X,intersection_point(U,V)))=>(apart_point_and_line(X,U)|apart_point_and_line(X,V))))))),input).
% 117.11/117.33 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![U]:(![V]:(((distinct_points(X,Y)&convergent_lines(U,V))&distinct_points(X,intersection_point(U,V)))=>(apart_point_and_line(X,U)|apart_point_and_line(X,V)))))))),inference(assume_negation,status(cth),[con])).
% 117.11/117.33 fof(c1,negated_conjecture,(?[X]:(?[Y]:(?[U]:(?[V]:(((distinct_points(X,Y)&convergent_lines(U,V))&distinct_points(X,intersection_point(U,V)))&(~apart_point_and_line(X,U)&~apart_point_and_line(X,V))))))),inference(fof_nnf,status(thm),[c0])).
% 117.11/117.33 fof(c2,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(((distinct_points(X2,X3)&convergent_lines(X4,X5))&distinct_points(X2,intersection_point(X4,X5)))&(~apart_point_and_line(X2,X4)&~apart_point_and_line(X2,X5))))))),inference(variable_rename,status(thm),[c1])).
% 117.11/117.33 fof(c3,negated_conjecture,(((distinct_points(skolem0001,skolem0002)&convergent_lines(skolem0003,skolem0004))&distinct_points(skolem0001,intersection_point(skolem0003,skolem0004)))&(~apart_point_and_line(skolem0001,skolem0003)&~apart_point_and_line(skolem0001,skolem0004))),inference(skolemize,status(esa),[c2])).
% 117.11/117.33 cnf(c5,negated_conjecture,convergent_lines(skolem0003,skolem0004),inference(split_conjunct,status(thm),[c3])).
% 117.11/117.33 fof(ci3,axiom,(![X]:(![Y]:(convergent_lines(X,Y)=>(~apart_point_and_line(intersection_point(X,Y),X))))),input).
% 117.11/117.33 fof(c31,axiom,(![X]:(![Y]:(convergent_lines(X,Y)=>~apart_point_and_line(intersection_point(X,Y),X)))),inference(fof_simplification,status(thm),[ci3])).
% 117.11/117.33 fof(c32,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),X)))),inference(fof_nnf,status(thm),[c31])).
% 117.11/117.33 fof(c33,axiom,(![X21]:(![X22]:(~convergent_lines(X21,X22)|~apart_point_and_line(intersection_point(X21,X22),X21)))),inference(variable_rename,status(thm),[c32])).
% 117.11/117.33 cnf(c34,axiom,~convergent_lines(X45,X44)|~apart_point_and_line(intersection_point(X45,X44),X45),inference(split_conjunct,status(thm),[c33])).
% 117.11/117.33 fof(ci4,axiom,(![X]:(![Y]:(convergent_lines(X,Y)=>(~apart_point_and_line(intersection_point(X,Y),Y))))),input).
% 117.11/117.33 fof(c27,axiom,(![X]:(![Y]:(convergent_lines(X,Y)=>~apart_point_and_line(intersection_point(X,Y),Y)))),inference(fof_simplification,status(thm),[ci4])).
% 117.11/117.33 fof(c28,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),Y)))),inference(fof_nnf,status(thm),[c27])).
% 117.11/117.33 fof(c29,axiom,(![X19]:(![X20]:(~convergent_lines(X19,X20)|~apart_point_and_line(intersection_point(X19,X20),X20)))),inference(variable_rename,status(thm),[c28])).
% 117.11/117.33 cnf(c30,axiom,~convergent_lines(X43,X42)|~apart_point_and_line(intersection_point(X43,X42),X42),inference(split_conjunct,status(thm),[c29])).
% 117.11/117.33 cnf(c7,negated_conjecture,~apart_point_and_line(skolem0001,skolem0003),inference(split_conjunct,status(thm),[c3])).
% 117.11/117.33 cnf(c8,negated_conjecture,~apart_point_and_line(skolem0001,skolem0004),inference(split_conjunct,status(thm),[c3])).
% 117.11/117.33 cnf(c6,negated_conjecture,distinct_points(skolem0001,intersection_point(skolem0003,skolem0004)),inference(split_conjunct,status(thm),[c3])).
% 117.11/117.33 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),input).
% 117.11/117.33 fof(c58,axiom,(![X]:~convergent_lines(X,X)),inference(fof_simplification,status(thm),[apart3])).
% 117.11/117.33 fof(c59,axiom,(![X36]:~convergent_lines(X36,X36)),inference(variable_rename,status(thm),[c58])).
% 117.11/117.33 cnf(c60,axiom,~convergent_lines(X39,X39),inference(split_conjunct,status(thm),[c59])).
% 117.11/117.33 fof(ceq3,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),input).
% 117.11/117.33 fof(c9,axiom,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,status(thm),[ceq3])).
% 117.11/117.33 fof(c10,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,status(thm),[c9])).
% 117.11/117.33 fof(c12,axiom,(![X6]:(![X7]:(![X8]:(~convergent_lines(X6,X7)|(distinct_lines(X7,X8)|convergent_lines(X6,X8)))))),inference(shift_quantors,status(thm),[fof(c11,axiom,(![X6]:(![X7]:(~convergent_lines(X6,X7)|(![X8]:(distinct_lines(X7,X8)|convergent_lines(X6,X8)))))),inference(variable_rename,status(thm),[c10])).])).
% 117.11/117.33 cnf(c13,axiom,~convergent_lines(X49,X48)|distinct_lines(X48,X50)|convergent_lines(X49,X50),inference(split_conjunct,status(thm),[c12])).
% 117.11/117.33 cnf(c67,plain,distinct_lines(skolem0004,X51)|convergent_lines(skolem0003,X51),inference(resolution,status(thm),[c13, c5])).
% 117.11/117.33 cnf(c70,plain,distinct_lines(skolem0004,skolem0003),inference(resolution,status(thm),[c67, c60])).
% 117.11/117.33 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).
% 117.11/117.33 fof(c24,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])).
% 117.11/117.33 fof(c25,axiom,(![X15]:(![X16]:(![X17]:(![X18]:((~distinct_points(X15,X16)|~distinct_lines(X17,X18))|(((apart_point_and_line(X15,X17)|apart_point_and_line(X15,X18))|apart_point_and_line(X16,X17))|apart_point_and_line(X16,X18))))))),inference(variable_rename,status(thm),[c24])).
% 117.11/117.33 cnf(c26,axiom,~distinct_points(X66,X67)|~distinct_lines(X65,X68)|apart_point_and_line(X66,X65)|apart_point_and_line(X66,X68)|apart_point_and_line(X67,X65)|apart_point_and_line(X67,X68),inference(split_conjunct,status(thm),[c25])).
% 117.11/117.33 cnf(c86,plain,~distinct_points(X126,X127)|apart_point_and_line(X126,skolem0004)|apart_point_and_line(X126,skolem0003)|apart_point_and_line(X127,skolem0004)|apart_point_and_line(X127,skolem0003),inference(resolution,status(thm),[c26, c70])).
% 117.11/117.33 cnf(c239,plain,apart_point_and_line(skolem0001,skolem0004)|apart_point_and_line(skolem0001,skolem0003)|apart_point_and_line(intersection_point(skolem0003,skolem0004),skolem0004)|apart_point_and_line(intersection_point(skolem0003,skolem0004),skolem0003),inference(resolution,status(thm),[c86, c6])).
% 117.11/117.33 cnf(c1710,plain,apart_point_and_line(skolem0001,skolem0003)|apart_point_and_line(intersection_point(skolem0003,skolem0004),skolem0004)|apart_point_and_line(intersection_point(skolem0003,skolem0004),skolem0003),inference(resolution,status(thm),[c239, c8])).
% 117.11/117.33 cnf(c113583,plain,apart_point_and_line(intersection_point(skolem0003,skolem0004),skolem0004)|apart_point_and_line(intersection_point(skolem0003,skolem0004),skolem0003),inference(resolution,status(thm),[c1710, c7])).
% 117.11/117.33 cnf(c113592,plain,apart_point_and_line(intersection_point(skolem0003,skolem0004),skolem0003)|~convergent_lines(skolem0003,skolem0004),inference(resolution,status(thm),[c113583, c30])).
% 117.11/117.33 cnf(c113728,plain,apart_point_and_line(intersection_point(skolem0003,skolem0004),skolem0003),inference(resolution,status(thm),[c113592, c5])).
% 117.11/117.33 cnf(c114486,plain,~convergent_lines(skolem0003,skolem0004),inference(resolution,status(thm),[c113728, c34])).
% 117.11/117.33 cnf(c114617,plain,$false,inference(resolution,status(thm),[c114486, c5])).
% 117.11/117.33 # SZS output end CNFRefutation
% 117.11/117.33
% 117.11/117.33 # Initial clauses : 19
% 117.11/117.33 # Processed clauses : 1153
% 117.11/117.33 # Factors computed : 3772
% 117.11/117.33 # Resolvents computed: 111533
% 117.11/117.33 # Tautologies deleted: 1
% 117.11/117.33 # Forward subsumed : 4619
% 117.11/117.33 # Backward subsumed : 100
% 117.11/117.33 # -------- CPU Time ---------
% 117.11/117.33 # User time : 116.609 s
% 117.11/117.33 # System time : 0.366 s
% 117.11/117.33 # Total time : 116.975 s
%------------------------------------------------------------------------------