TSTP Solution File: GEO233+1 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : GEO233+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 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  : 300s
% DateTime : Thu May  9 17:21:40 EDT 2024

% Result   : Theorem 36.22s 36.45s
% Output   : Refutation 36.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO233+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n026.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  : 300
% 0.13/0.34  % DateTime : Thu May  9 08:26:08 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 36.22/36.45  % Version:  1.5
% 36.22/36.45  % SZS status Theorem
% 36.22/36.45  % SZS output start CNFRefutation
% 36.22/36.45  fof(oag5,axiom,(![L]:(~unequally_directed_lines(L,L))),file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax', oag5)).
% 36.22/36.45  fof(c91,plain,(![L]:~unequally_directed_lines(L,L)),inference(fof_simplification,[status(thm)],[oag5])).
% 36.22/36.45  fof(c92,plain,(![X55]:~unequally_directed_lines(X55,X55)),inference(variable_rename,[status(thm)],[c91])).
% 36.22/36.45  cnf(c93,plain,~unequally_directed_lines(X96,X96),inference(split_conjunct,[status(thm)],[c92])).
% 36.22/36.45  fof(con,conjecture,(![L]:(~unequally_directed_lines(reverse_line(reverse_line(L)),L))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 36.22/36.45  fof(c0,negated_conjecture,(~(![L]:(~unequally_directed_lines(reverse_line(reverse_line(L)),L)))),inference(assume_negation,[status(cth)],[con])).
% 36.22/36.45  fof(c1,negated_conjecture,(~(![L]:~unequally_directed_lines(reverse_line(reverse_line(L)),L))),inference(fof_simplification,[status(thm)],[c0])).
% 36.22/36.45  fof(c2,negated_conjecture,(?[L]:unequally_directed_lines(reverse_line(reverse_line(L)),L)),inference(fof_nnf,[status(thm)],[c1])).
% 36.22/36.45  fof(c3,negated_conjecture,(?[X2]:unequally_directed_lines(reverse_line(reverse_line(X2)),X2)),inference(variable_rename,[status(thm)],[c2])).
% 36.22/36.45  fof(c4,negated_conjecture,unequally_directed_lines(reverse_line(reverse_line(skolem0001)),skolem0001),inference(skolemize,[status(esa)],[c3])).
% 36.22/36.45  cnf(c5,negated_conjecture,unequally_directed_lines(reverse_line(reverse_line(skolem0001)),skolem0001),inference(split_conjunct,[status(thm)],[c4])).
% 36.22/36.45  fof(oag6,axiom,(![L]:(![M]:(![N]:(unequally_directed_lines(L,M)=>(unequally_directed_lines(L,N)|unequally_directed_lines(M,N)))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax', oag6)).
% 36.22/36.45  fof(c86,plain,(![L]:(![M]:(![N]:(~unequally_directed_lines(L,M)|(unequally_directed_lines(L,N)|unequally_directed_lines(M,N)))))),inference(fof_nnf,[status(thm)],[oag6])).
% 36.22/36.45  fof(c87,plain,(![L]:(![M]:(~unequally_directed_lines(L,M)|(![N]:(unequally_directed_lines(L,N)|unequally_directed_lines(M,N)))))),inference(shift_quantors,[status(thm)],[c86])).
% 36.22/36.45  fof(c89,plain,(![X52]:(![X53]:(![X54]:(~unequally_directed_lines(X52,X53)|(unequally_directed_lines(X52,X54)|unequally_directed_lines(X53,X54)))))),inference(shift_quantors,[status(thm)],[fof(c88,plain,(![X52]:(![X53]:(~unequally_directed_lines(X52,X53)|(![X54]:(unequally_directed_lines(X52,X54)|unequally_directed_lines(X53,X54)))))),inference(variable_rename,[status(thm)],[c87])).])).
% 36.22/36.45  cnf(c90,plain,~unequally_directed_lines(X149,X150)|unequally_directed_lines(X149,X151)|unequally_directed_lines(X150,X151),inference(split_conjunct,[status(thm)],[c89])).
% 36.22/36.45  cnf(c161,plain,unequally_directed_lines(reverse_line(reverse_line(skolem0001)),X175)|unequally_directed_lines(skolem0001,X175),inference(resolution,[status(thm)],[c90, c5])).
% 36.22/36.45  cnf(c165,plain,unequally_directed_lines(skolem0001,reverse_line(reverse_line(skolem0001))),inference(resolution,[status(thm)],[c161, c93])).
% 36.22/36.45  fof(oag7,axiom,(![L]:(![M]:(![N]:((unequally_directed_lines(L,M)&unequally_directed_lines(L,reverse_line(M)))=>((unequally_directed_lines(L,N)&unequally_directed_lines(L,reverse_line(N)))|(unequally_directed_lines(M,N)&unequally_directed_lines(M,reverse_line(N)))))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax', oag7)).
% 36.22/36.45  fof(c77,plain,(![L]:(![M]:(![N]:((~unequally_directed_lines(L,M)|~unequally_directed_lines(L,reverse_line(M)))|((unequally_directed_lines(L,N)&unequally_directed_lines(L,reverse_line(N)))|(unequally_directed_lines(M,N)&unequally_directed_lines(M,reverse_line(N)))))))),inference(fof_nnf,[status(thm)],[oag7])).
% 36.22/36.45  fof(c78,plain,(![L]:(![M]:((~unequally_directed_lines(L,M)|~unequally_directed_lines(L,reverse_line(M)))|(![N]:((unequally_directed_lines(L,N)&unequally_directed_lines(L,reverse_line(N)))|(unequally_directed_lines(M,N)&unequally_directed_lines(M,reverse_line(N)))))))),inference(shift_quantors,[status(thm)],[c77])).
% 36.22/36.45  fof(c80,plain,(![X49]:(![X50]:(![X51]:((~unequally_directed_lines(X49,X50)|~unequally_directed_lines(X49,reverse_line(X50)))|((unequally_directed_lines(X49,X51)&unequally_directed_lines(X49,reverse_line(X51)))|(unequally_directed_lines(X50,X51)&unequally_directed_lines(X50,reverse_line(X51)))))))),inference(shift_quantors,[status(thm)],[fof(c79,plain,(![X49]:(![X50]:((~unequally_directed_lines(X49,X50)|~unequally_directed_lines(X49,reverse_line(X50)))|(![X51]:((unequally_directed_lines(X49,X51)&unequally_directed_lines(X49,reverse_line(X51)))|(unequally_directed_lines(X50,X51)&unequally_directed_lines(X50,reverse_line(X51)))))))),inference(variable_rename,[status(thm)],[c78])).])).
% 36.22/36.45  fof(c81,plain,(![X49]:(![X50]:(![X51]:((((~unequally_directed_lines(X49,X50)|~unequally_directed_lines(X49,reverse_line(X50)))|(unequally_directed_lines(X49,X51)|unequally_directed_lines(X50,X51)))&((~unequally_directed_lines(X49,X50)|~unequally_directed_lines(X49,reverse_line(X50)))|(unequally_directed_lines(X49,X51)|unequally_directed_lines(X50,reverse_line(X51)))))&(((~unequally_directed_lines(X49,X50)|~unequally_directed_lines(X49,reverse_line(X50)))|(unequally_directed_lines(X49,reverse_line(X51))|unequally_directed_lines(X50,X51)))&((~unequally_directed_lines(X49,X50)|~unequally_directed_lines(X49,reverse_line(X50)))|(unequally_directed_lines(X49,reverse_line(X51))|unequally_directed_lines(X50,reverse_line(X51))))))))),inference(distribute,[status(thm)],[c80])).
% 36.22/36.45  cnf(c83,plain,~unequally_directed_lines(X239,X240)|~unequally_directed_lines(X239,reverse_line(X240))|unequally_directed_lines(X239,X241)|unequally_directed_lines(X240,reverse_line(X241)),inference(split_conjunct,[status(thm)],[c81])).
% 36.22/36.45  cnf(c206,plain,~unequally_directed_lines(skolem0001,reverse_line(skolem0001))|unequally_directed_lines(skolem0001,X516)|unequally_directed_lines(reverse_line(skolem0001),reverse_line(X516)),inference(resolution,[status(thm)],[c83, c165])).
% 36.22/36.45  fof(oag11,axiom,(![L]:(![M]:(~(left_convergent_lines(L,M)|left_convergent_lines(L,reverse_line(M)))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax', oag11)).
% 36.22/36.45  fof(c59,plain,(![L]:(![M]:(~left_convergent_lines(L,M)&~left_convergent_lines(L,reverse_line(M))))),inference(fof_nnf,[status(thm)],[oag11])).
% 36.22/36.45  fof(c60,plain,((![L]:(![M]:~left_convergent_lines(L,M)))&(![L]:(![M]:~left_convergent_lines(L,reverse_line(M))))),inference(shift_quantors,[status(thm)],[c59])).
% 36.22/36.45  fof(c62,plain,(![X37]:(![X38]:(![X39]:(![X40]:(~left_convergent_lines(X37,X38)&~left_convergent_lines(X39,reverse_line(X40))))))),inference(shift_quantors,[status(thm)],[fof(c61,plain,((![X37]:(![X38]:~left_convergent_lines(X37,X38)))&(![X39]:(![X40]:~left_convergent_lines(X39,reverse_line(X40))))),inference(variable_rename,[status(thm)],[c60])).])).
% 36.22/36.45  cnf(c63,plain,~left_convergent_lines(X92,X93),inference(split_conjunct,[status(thm)],[c62])).
% 36.22/36.45  cnf(c166,plain,unequally_directed_lines(reverse_line(reverse_line(skolem0001)),X263)|unequally_directed_lines(skolem0001,X262)|unequally_directed_lines(X263,X262),inference(resolution,[status(thm)],[c161, c90])).
% 36.22/36.45  cnf(c282,plain,unequally_directed_lines(reverse_line(reverse_line(skolem0001)),X268)|unequally_directed_lines(X268,skolem0001),inference(resolution,[status(thm)],[c166, c93])).
% 36.22/36.45  fof(oag9,axiom,(![L]:(![M]:((unequally_directed_lines(L,M)&unequally_directed_lines(L,reverse_line(M)))=>(left_convergent_lines(L,M)|left_convergent_lines(L,reverse_line(M)))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax', oag9)).
% 36.22/36.45  fof(c71,plain,(![L]:(![M]:((~unequally_directed_lines(L,M)|~unequally_directed_lines(L,reverse_line(M)))|(left_convergent_lines(L,M)|left_convergent_lines(L,reverse_line(M)))))),inference(fof_nnf,[status(thm)],[oag9])).
% 36.22/36.45  fof(c72,plain,(![X45]:(![X46]:((~unequally_directed_lines(X45,X46)|~unequally_directed_lines(X45,reverse_line(X46)))|(left_convergent_lines(X45,X46)|left_convergent_lines(X45,reverse_line(X46)))))),inference(variable_rename,[status(thm)],[c71])).
% 36.22/36.45  cnf(c73,plain,~unequally_directed_lines(X229,X228)|~unequally_directed_lines(X229,reverse_line(X228))|left_convergent_lines(X229,X228)|left_convergent_lines(X229,reverse_line(X228)),inference(split_conjunct,[status(thm)],[c72])).
% 36.22/36.45  cnf(c180,plain,~unequally_directed_lines(reverse_line(reverse_line(skolem0001)),X315)|left_convergent_lines(reverse_line(reverse_line(skolem0001)),X315)|left_convergent_lines(reverse_line(reverse_line(skolem0001)),reverse_line(X315))|unequally_directed_lines(skolem0001,reverse_line(X315)),inference(resolution,[status(thm)],[c73, c161])).
% 36.22/36.45  cnf(c570,plain,left_convergent_lines(reverse_line(reverse_line(skolem0001)),X3255)|left_convergent_lines(reverse_line(reverse_line(skolem0001)),reverse_line(X3255))|unequally_directed_lines(skolem0001,reverse_line(X3255))|unequally_directed_lines(X3255,skolem0001),inference(resolution,[status(thm)],[c180, c282])).
% 36.22/36.45  cnf(c68276,plain,left_convergent_lines(reverse_line(reverse_line(skolem0001)),X3260)|unequally_directed_lines(skolem0001,reverse_line(X3260))|unequally_directed_lines(X3260,skolem0001),inference(resolution,[status(thm)],[c570, c63])).
% 36.22/36.45  cnf(c68494,plain,unequally_directed_lines(skolem0001,reverse_line(X3261))|unequally_directed_lines(X3261,skolem0001),inference(resolution,[status(thm)],[c68276, c63])).
% 36.22/36.45  cnf(c68884,plain,unequally_directed_lines(skolem0001,reverse_line(skolem0001)),inference(resolution,[status(thm)],[c68494, c93])).
% 36.22/36.45  cnf(c68963,plain,unequally_directed_lines(skolem0001,X3273)|unequally_directed_lines(reverse_line(skolem0001),reverse_line(X3273)),inference(resolution,[status(thm)],[c68884, c206])).
% 36.22/36.45  cnf(c69915,plain,unequally_directed_lines(skolem0001,skolem0001),inference(resolution,[status(thm)],[c68963, c93])).
% 36.22/36.45  cnf(c69984,plain,$false,inference(resolution,[status(thm)],[c69915, c93])).
% 36.22/36.45  % SZS output end CNFRefutation
% 36.22/36.45  
% 36.22/36.45  % Initial clauses    : 59
% 36.22/36.45  % Processed clauses  : 650
% 36.22/36.45  % Factors computed   : 265
% 36.22/36.45  % Resolvents computed: 69582
% 36.22/36.45  % Tautologies deleted: 1
% 36.22/36.45  % Forward subsumed   : 1163
% 36.22/36.45  % Backward subsumed  : 53
% 36.22/36.45  % -------- CPU Time ---------
% 36.22/36.45  % User time          : 35.897 s
% 36.22/36.45  % System time        : 0.207 s
% 36.22/36.45  % Total time         : 36.104 s
%------------------------------------------------------------------------------