TSTP Solution File: GEO209+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO209+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 05:59:18 EDT 2022
% Result : Theorem 0.46s 0.64s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO209+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 18:18:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.46/0.64 # Version: 1.3
% 0.46/0.64 # SZS status Theorem
% 0.46/0.64 # SZS output start CNFRefutation
% 0.46/0.64 fof(con,conjecture,(![A]:(![L]:(![M]:(![N]:(((((apart_point_and_line(A,L)&(~apart_point_and_line(A,M)))&(~apart_point_and_line(A,N)))&(~convergent_lines(M,L)))&(~convergent_lines(N,L)))=>(~distinct_lines(M,N))))))),input).
% 0.46/0.64 fof(c0,negated_conjecture,(~(![A]:(![L]:(![M]:(![N]:(((((apart_point_and_line(A,L)&(~apart_point_and_line(A,M)))&(~apart_point_and_line(A,N)))&(~convergent_lines(M,L)))&(~convergent_lines(N,L)))=>(~distinct_lines(M,N)))))))),inference(assume_negation,status(cth),[con])).
% 0.46/0.64 fof(c1,negated_conjecture,(~(![A]:(![L]:(![M]:(![N]:(((((apart_point_and_line(A,L)&~apart_point_and_line(A,M))&~apart_point_and_line(A,N))&~convergent_lines(M,L))&~convergent_lines(N,L))=>~distinct_lines(M,N))))))),inference(fof_simplification,status(thm),[c0])).
% 0.46/0.64 fof(c2,negated_conjecture,(?[A]:(?[L]:(?[M]:(?[N]:(((((apart_point_and_line(A,L)&~apart_point_and_line(A,M))&~apart_point_and_line(A,N))&~convergent_lines(M,L))&~convergent_lines(N,L))&distinct_lines(M,N)))))),inference(fof_nnf,status(thm),[c1])).
% 0.46/0.64 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(((((apart_point_and_line(X2,X3)&~apart_point_and_line(X2,X4))&~apart_point_and_line(X2,X5))&~convergent_lines(X4,X3))&~convergent_lines(X5,X3))&distinct_lines(X4,X5)))))),inference(variable_rename,status(thm),[c2])).
% 0.46/0.64 fof(c4,negated_conjecture,(((((apart_point_and_line(skolem0001,skolem0002)&~apart_point_and_line(skolem0001,skolem0003))&~apart_point_and_line(skolem0001,skolem0004))&~convergent_lines(skolem0003,skolem0002))&~convergent_lines(skolem0004,skolem0002))&distinct_lines(skolem0003,skolem0004)),inference(skolemize,status(esa),[c3])).
% 0.46/0.64 cnf(c9,negated_conjecture,~convergent_lines(skolem0004,skolem0002),inference(split_conjunct,status(thm),[c4])).
% 0.46/0.64 cnf(c8,negated_conjecture,~convergent_lines(skolem0003,skolem0002),inference(split_conjunct,status(thm),[c4])).
% 0.46/0.64 fof(ax6,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),input).
% 0.46/0.64 fof(c54,axiom,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),inference(fof_nnf,status(thm),[ax6])).
% 0.46/0.64 fof(c55,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),inference(shift_quantors,status(thm),[c54])).
% 0.46/0.64 fof(c57,axiom,(![X34]:(![X35]:(![X36]:(~convergent_lines(X34,X35)|(convergent_lines(X34,X36)|convergent_lines(X35,X36)))))),inference(shift_quantors,status(thm),[fof(c56,axiom,(![X34]:(![X35]:(~convergent_lines(X34,X35)|(![X36]:(convergent_lines(X34,X36)|convergent_lines(X35,X36)))))),inference(variable_rename,status(thm),[c55])).])).
% 0.46/0.64 cnf(c58,axiom,~convergent_lines(X76,X78)|convergent_lines(X76,X77)|convergent_lines(X78,X77),inference(split_conjunct,status(thm),[c57])).
% 0.46/0.64 cnf(c7,negated_conjecture,~apart_point_and_line(skolem0001,skolem0004),inference(split_conjunct,status(thm),[c4])).
% 0.46/0.64 cnf(c6,negated_conjecture,~apart_point_and_line(skolem0001,skolem0003),inference(split_conjunct,status(thm),[c4])).
% 0.46/0.64 cnf(c10,negated_conjecture,distinct_lines(skolem0003,skolem0004),inference(split_conjunct,status(thm),[c4])).
% 0.46/0.64 fof(cup1,axiom,(![X]:(![Y]:(![Z]:(distinct_lines(Y,Z)=>((apart_point_and_line(X,Y)|apart_point_and_line(X,Z))|convergent_lines(Y,Z)))))),input).
% 0.46/0.64 fof(c11,axiom,(![X]:(![Y]:(![Z]:(~distinct_lines(Y,Z)|((apart_point_and_line(X,Y)|apart_point_and_line(X,Z))|convergent_lines(Y,Z)))))),inference(fof_nnf,status(thm),[cup1])).
% 0.46/0.64 fof(c12,axiom,(![X6]:(![X7]:(![X8]:(~distinct_lines(X7,X8)|((apart_point_and_line(X6,X7)|apart_point_and_line(X6,X8))|convergent_lines(X7,X8)))))),inference(variable_rename,status(thm),[c11])).
% 0.46/0.64 cnf(c13,axiom,~distinct_lines(X53,X54)|apart_point_and_line(X55,X53)|apart_point_and_line(X55,X54)|convergent_lines(X53,X54),inference(split_conjunct,status(thm),[c12])).
% 0.46/0.64 cnf(c78,plain,apart_point_and_line(X94,skolem0003)|apart_point_and_line(X94,skolem0004)|convergent_lines(skolem0003,skolem0004),inference(resolution,status(thm),[c13, c10])).
% 0.46/0.64 cnf(c142,plain,apart_point_and_line(skolem0001,skolem0004)|convergent_lines(skolem0003,skolem0004),inference(resolution,status(thm),[c78, c6])).
% 0.46/0.64 cnf(c155,plain,convergent_lines(skolem0003,skolem0004),inference(resolution,status(thm),[c142, c7])).
% 0.46/0.64 cnf(c159,plain,convergent_lines(skolem0003,X96)|convergent_lines(skolem0004,X96),inference(resolution,status(thm),[c155, c58])).
% 0.46/0.64 cnf(c162,plain,convergent_lines(skolem0004,skolem0002),inference(resolution,status(thm),[c159, c8])).
% 0.46/0.64 cnf(c170,plain,$false,inference(resolution,status(thm),[c162, c9])).
% 0.46/0.64 # SZS output end CNFRefutation
% 0.46/0.64
% 0.46/0.64 # Initial clauses : 23
% 0.46/0.64 # Processed clauses : 40
% 0.46/0.64 # Factors computed : 3
% 0.46/0.64 # Resolvents computed: 117
% 0.46/0.64 # Tautologies deleted: 0
% 0.46/0.64 # Forward subsumed : 8
% 0.46/0.64 # Backward subsumed : 2
% 0.46/0.64 # -------- CPU Time ---------
% 0.46/0.64 # User time : 0.269 s
% 0.46/0.64 # System time : 0.019 s
% 0.46/0.64 # Total time : 0.288 s
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