TSTP Solution File: GEO226+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO226+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n025.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 05:59:32 EDT 2022
% Result : Theorem 0.43s 0.67s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO226+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n025.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 : Sat Jun 18 10:31:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.43/0.67 # Version: 1.3
% 0.43/0.67 # SZS status Theorem
% 0.43/0.67 # SZS output start CNFRefutation
% 0.43/0.67 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),input).
% 0.43/0.67 fof(c73,axiom,(![X]:~convergent_lines(X,X)),inference(fof_simplification,status(thm),[apart3])).
% 0.43/0.67 fof(c74,axiom,(![X44]:~convergent_lines(X44,X44)),inference(variable_rename,status(thm),[c73])).
% 0.43/0.67 cnf(c75,axiom,~convergent_lines(X48,X48),inference(split_conjunct,status(thm),[c74])).
% 0.43/0.67 fof(con,conjecture,(![L]:(![M]:(((line(L)&line(M))&convergent_lines(L,M))=>(?[X]:(point(X)=>((~apart_point_and_line(X,L))&(~apart_point_and_line(X,M)))))))),input).
% 0.43/0.67 fof(c0,negated_conjecture,(~(![L]:(![M]:(((line(L)&line(M))&convergent_lines(L,M))=>(?[X]:(point(X)=>((~apart_point_and_line(X,L))&(~apart_point_and_line(X,M))))))))),inference(assume_negation,status(cth),[con])).
% 0.43/0.67 fof(c1,negated_conjecture,(~(![L]:(![M]:(((line(L)&line(M))&convergent_lines(L,M))=>(?[X]:(point(X)=>(~apart_point_and_line(X,L)&~apart_point_and_line(X,M)))))))),inference(fof_simplification,status(thm),[c0])).
% 0.43/0.67 fof(c2,negated_conjecture,(?[L]:(?[M]:(((line(L)&line(M))&convergent_lines(L,M))&(![X]:(point(X)&(apart_point_and_line(X,L)|apart_point_and_line(X,M))))))),inference(fof_nnf,status(thm),[c1])).
% 0.43/0.67 fof(c3,negated_conjecture,(?[L]:(?[M]:(((line(L)&line(M))&convergent_lines(L,M))&((![X]:point(X))&(![X]:(apart_point_and_line(X,L)|apart_point_and_line(X,M))))))),inference(shift_quantors,status(thm),[c2])).
% 0.43/0.67 fof(c4,negated_conjecture,(?[X2]:(?[X3]:(((line(X2)&line(X3))&convergent_lines(X2,X3))&((![X4]:point(X4))&(![X5]:(apart_point_and_line(X5,X2)|apart_point_and_line(X5,X3))))))),inference(variable_rename,status(thm),[c3])).
% 0.43/0.67 fof(c6,negated_conjecture,(![X4]:(![X5]:(((line(skolem0001)&line(skolem0002))&convergent_lines(skolem0001,skolem0002))&(point(X4)&(apart_point_and_line(X5,skolem0001)|apart_point_and_line(X5,skolem0002)))))),inference(shift_quantors,status(thm),[fof(c5,negated_conjecture,(((line(skolem0001)&line(skolem0002))&convergent_lines(skolem0001,skolem0002))&((![X4]:point(X4))&(![X5]:(apart_point_and_line(X5,skolem0001)|apart_point_and_line(X5,skolem0002))))),inference(skolemize,status(esa),[c4])).])).
% 0.43/0.67 cnf(c9,negated_conjecture,convergent_lines(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c6])).
% 0.43/0.67 fof(ax6,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),input).
% 0.43/0.67 fof(c58,axiom,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),inference(fof_nnf,status(thm),[ax6])).
% 0.43/0.67 fof(c59,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),inference(shift_quantors,status(thm),[c58])).
% 0.43/0.67 fof(c61,axiom,(![X35]:(![X36]:(![X37]:(~convergent_lines(X35,X36)|(convergent_lines(X35,X37)|convergent_lines(X36,X37)))))),inference(shift_quantors,status(thm),[fof(c60,axiom,(![X35]:(![X36]:(~convergent_lines(X35,X36)|(![X37]:(convergent_lines(X35,X37)|convergent_lines(X36,X37)))))),inference(variable_rename,status(thm),[c59])).])).
% 0.43/0.67 cnf(c62,axiom,~convergent_lines(X104,X103)|convergent_lines(X104,X102)|convergent_lines(X103,X102),inference(split_conjunct,status(thm),[c61])).
% 0.43/0.67 cnf(c125,plain,convergent_lines(skolem0001,X105)|convergent_lines(skolem0002,X105),inference(resolution,status(thm),[c62, c9])).
% 0.43/0.67 cnf(c126,plain,convergent_lines(skolem0002,skolem0001),inference(resolution,status(thm),[c125, c75])).
% 0.43/0.67 fof(ci3,axiom,(![X]:(![Y]:(convergent_lines(X,Y)=>(~apart_point_and_line(intersection_point(X,Y),X))))),input).
% 0.43/0.67 fof(c46,axiom,(![X]:(![Y]:(convergent_lines(X,Y)=>~apart_point_and_line(intersection_point(X,Y),X)))),inference(fof_simplification,status(thm),[ci3])).
% 0.43/0.67 fof(c47,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),X)))),inference(fof_nnf,status(thm),[c46])).
% 0.43/0.67 fof(c48,axiom,(![X29]:(![X30]:(~convergent_lines(X29,X30)|~apart_point_and_line(intersection_point(X29,X30),X29)))),inference(variable_rename,status(thm),[c47])).
% 0.43/0.67 cnf(c49,axiom,~convergent_lines(X54,X55)|~apart_point_and_line(intersection_point(X54,X55),X54),inference(split_conjunct,status(thm),[c48])).
% 0.43/0.67 cnf(c11,negated_conjecture,apart_point_and_line(X51,skolem0001)|apart_point_and_line(X51,skolem0002),inference(split_conjunct,status(thm),[c6])).
% 0.43/0.67 fof(ci4,axiom,(![X]:(![Y]:(convergent_lines(X,Y)=>(~apart_point_and_line(intersection_point(X,Y),Y))))),input).
% 0.43/0.67 fof(c42,axiom,(![X]:(![Y]:(convergent_lines(X,Y)=>~apart_point_and_line(intersection_point(X,Y),Y)))),inference(fof_simplification,status(thm),[ci4])).
% 0.43/0.67 fof(c43,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),Y)))),inference(fof_nnf,status(thm),[c42])).
% 0.43/0.67 fof(c44,axiom,(![X27]:(![X28]:(~convergent_lines(X27,X28)|~apart_point_and_line(intersection_point(X27,X28),X28)))),inference(variable_rename,status(thm),[c43])).
% 0.43/0.67 cnf(c45,axiom,~convergent_lines(X52,X53)|~apart_point_and_line(intersection_point(X52,X53),X53),inference(split_conjunct,status(thm),[c44])).
% 0.43/0.67 cnf(c82,plain,~convergent_lines(X126,skolem0001)|apart_point_and_line(intersection_point(X126,skolem0001),skolem0002),inference(resolution,status(thm),[c45, c11])).
% 0.43/0.67 cnf(c159,plain,apart_point_and_line(intersection_point(skolem0002,skolem0001),skolem0002),inference(resolution,status(thm),[c82, c126])).
% 0.43/0.67 cnf(c161,plain,~convergent_lines(skolem0002,skolem0001),inference(resolution,status(thm),[c159, c49])).
% 0.43/0.67 cnf(c165,plain,$false,inference(resolution,status(thm),[c161, c126])).
% 0.43/0.67 # SZS output end CNFRefutation
% 0.43/0.67
% 0.43/0.67 # Initial clauses : 23
% 0.43/0.67 # Processed clauses : 48
% 0.43/0.67 # Factors computed : 0
% 0.43/0.67 # Resolvents computed: 85
% 0.43/0.67 # Tautologies deleted: 0
% 0.43/0.67 # Forward subsumed : 8
% 0.43/0.67 # Backward subsumed : 2
% 0.43/0.67 # -------- CPU Time ---------
% 0.43/0.67 # User time : 0.275 s
% 0.43/0.67 # System time : 0.020 s
% 0.43/0.67 # Total time : 0.295 s
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