TSTP Solution File: GEO233+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO233+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n014.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 05:59:36 EDT 2022
% Result : Theorem 29.21s 29.41s
% Output : Refutation 29.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO233+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 18 13:39:34 EDT 2022
% 0.14/0.34 % CPUTime :
% 29.21/29.41 # Version: 1.3
% 29.21/29.41 # SZS status Theorem
% 29.21/29.41 # SZS output start CNFRefutation
% 29.21/29.41 fof(oag5,axiom,(![L]:(~unequally_directed_lines(L,L))),input).
% 29.21/29.41 fof(c91,axiom,(![L]:~unequally_directed_lines(L,L)),inference(fof_simplification,status(thm),[oag5])).
% 29.21/29.41 fof(c92,axiom,(![X55]:~unequally_directed_lines(X55,X55)),inference(variable_rename,status(thm),[c91])).
% 29.21/29.41 cnf(c93,axiom,~unequally_directed_lines(X96,X96),inference(split_conjunct,status(thm),[c92])).
% 29.21/29.41 fof(con,conjecture,(![L]:(~unequally_directed_lines(reverse_line(reverse_line(L)),L))),input).
% 29.21/29.41 fof(c0,negated_conjecture,(~(![L]:(~unequally_directed_lines(reverse_line(reverse_line(L)),L)))),inference(assume_negation,status(cth),[con])).
% 29.21/29.41 fof(c1,negated_conjecture,(~(![L]:~unequally_directed_lines(reverse_line(reverse_line(L)),L))),inference(fof_simplification,status(thm),[c0])).
% 29.21/29.41 fof(c2,negated_conjecture,(?[L]:unequally_directed_lines(reverse_line(reverse_line(L)),L)),inference(fof_nnf,status(thm),[c1])).
% 29.21/29.41 fof(c3,negated_conjecture,(?[X2]:unequally_directed_lines(reverse_line(reverse_line(X2)),X2)),inference(variable_rename,status(thm),[c2])).
% 29.21/29.41 fof(c4,negated_conjecture,unequally_directed_lines(reverse_line(reverse_line(skolem0001)),skolem0001),inference(skolemize,status(esa),[c3])).
% 29.21/29.41 cnf(c5,negated_conjecture,unequally_directed_lines(reverse_line(reverse_line(skolem0001)),skolem0001),inference(split_conjunct,status(thm),[c4])).
% 29.21/29.41 fof(oag6,axiom,(![L]:(![M]:(![N]:(unequally_directed_lines(L,M)=>(unequally_directed_lines(L,N)|unequally_directed_lines(M,N)))))),input).
% 29.21/29.41 fof(c86,axiom,(![L]:(![M]:(![N]:(~unequally_directed_lines(L,M)|(unequally_directed_lines(L,N)|unequally_directed_lines(M,N)))))),inference(fof_nnf,status(thm),[oag6])).
% 29.21/29.41 fof(c87,axiom,(![L]:(![M]:(~unequally_directed_lines(L,M)|(![N]:(unequally_directed_lines(L,N)|unequally_directed_lines(M,N)))))),inference(shift_quantors,status(thm),[c86])).
% 29.21/29.41 fof(c89,axiom,(![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,axiom,(![X52]:(![X53]:(~unequally_directed_lines(X52,X53)|(![X54]:(unequally_directed_lines(X52,X54)|unequally_directed_lines(X53,X54)))))),inference(variable_rename,status(thm),[c87])).])).
% 29.21/29.41 cnf(c90,axiom,~unequally_directed_lines(X151,X150)|unequally_directed_lines(X151,X149)|unequally_directed_lines(X150,X149),inference(split_conjunct,status(thm),[c89])).
% 29.21/29.41 cnf(c161,plain,unequally_directed_lines(reverse_line(reverse_line(skolem0001)),X175)|unequally_directed_lines(skolem0001,X175),inference(resolution,status(thm),[c90, c5])).
% 29.21/29.41 cnf(c162,plain,unequally_directed_lines(skolem0001,reverse_line(reverse_line(skolem0001))),inference(resolution,status(thm),[c161, c93])).
% 29.21/29.41 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)))))))),input).
% 29.21/29.41 fof(c77,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)))))))),inference(fof_nnf,status(thm),[oag7])).
% 29.21/29.41 fof(c78,axiom,(![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])).
% 29.21/29.41 fof(c80,axiom,(![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,axiom,(![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])).])).
% 29.21/29.41 fof(c81,axiom,(![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])).
% 29.21/29.41 cnf(c83,axiom,~unequally_directed_lines(X239,X238)|~unequally_directed_lines(X239,reverse_line(X238))|unequally_directed_lines(X239,X237)|unequally_directed_lines(X238,reverse_line(X237)),inference(split_conjunct,status(thm),[c81])).
% 29.21/29.41 cnf(c223,plain,~unequally_directed_lines(skolem0001,reverse_line(skolem0001))|unequally_directed_lines(skolem0001,X631)|unequally_directed_lines(reverse_line(skolem0001),reverse_line(X631)),inference(resolution,status(thm),[c83, c162])).
% 29.21/29.41 fof(oag11,axiom,(![L]:(![M]:(~(left_convergent_lines(L,M)|left_convergent_lines(L,reverse_line(M)))))),input).
% 29.21/29.41 fof(c59,axiom,(![L]:(![M]:(~left_convergent_lines(L,M)&~left_convergent_lines(L,reverse_line(M))))),inference(fof_nnf,status(thm),[oag11])).
% 29.21/29.41 fof(c60,axiom,((![L]:(![M]:~left_convergent_lines(L,M)))&(![L]:(![M]:~left_convergent_lines(L,reverse_line(M))))),inference(shift_quantors,status(thm),[c59])).
% 29.21/29.41 fof(c62,axiom,(![X37]:(![X38]:(![X39]:(![X40]:(~left_convergent_lines(X37,X38)&~left_convergent_lines(X39,reverse_line(X40))))))),inference(shift_quantors,status(thm),[fof(c61,axiom,((![X37]:(![X38]:~left_convergent_lines(X37,X38)))&(![X39]:(![X40]:~left_convergent_lines(X39,reverse_line(X40))))),inference(variable_rename,status(thm),[c60])).])).
% 29.21/29.41 cnf(c63,axiom,~left_convergent_lines(X93,X92),inference(split_conjunct,status(thm),[c62])).
% 29.21/29.41 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)))))),input).
% 29.21/29.41 fof(c71,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)))))),inference(fof_nnf,status(thm),[oag9])).
% 29.21/29.41 fof(c72,axiom,(![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])).
% 29.21/29.41 cnf(c73,axiom,~unequally_directed_lines(X229,X230)|~unequally_directed_lines(X229,reverse_line(X230))|left_convergent_lines(X229,X230)|left_convergent_lines(X229,reverse_line(X230)),inference(split_conjunct,status(thm),[c72])).
% 29.21/29.41 cnf(c176,plain,~unequally_directed_lines(reverse_line(reverse_line(skolem0001)),X307)|left_convergent_lines(reverse_line(reverse_line(skolem0001)),X307)|left_convergent_lines(reverse_line(reverse_line(skolem0001)),reverse_line(X307))|unequally_directed_lines(skolem0001,reverse_line(X307)),inference(resolution,status(thm),[c73, c161])).
% 29.21/29.41 cnf(c523,plain,left_convergent_lines(reverse_line(reverse_line(skolem0001)),X2812)|left_convergent_lines(reverse_line(reverse_line(skolem0001)),reverse_line(X2812))|unequally_directed_lines(skolem0001,reverse_line(X2812))|unequally_directed_lines(skolem0001,X2812),inference(resolution,status(thm),[c176, c161])).
% 29.21/29.41 cnf(c57059,plain,left_convergent_lines(reverse_line(reverse_line(skolem0001)),X2852)|unequally_directed_lines(skolem0001,reverse_line(X2852))|unequally_directed_lines(skolem0001,X2852),inference(resolution,status(thm),[c523, c63])).
% 29.21/29.41 cnf(c58151,plain,unequally_directed_lines(skolem0001,reverse_line(X2853))|unequally_directed_lines(skolem0001,X2853),inference(resolution,status(thm),[c57059, c63])).
% 29.21/29.41 cnf(c58472,plain,unequally_directed_lines(skolem0001,reverse_line(skolem0001)),inference(resolution,status(thm),[c58151, c93])).
% 29.21/29.41 cnf(c58606,plain,unequally_directed_lines(skolem0001,X2861)|unequally_directed_lines(reverse_line(skolem0001),reverse_line(X2861)),inference(resolution,status(thm),[c58472, c223])).
% 29.21/29.41 cnf(c59369,plain,unequally_directed_lines(skolem0001,skolem0001),inference(resolution,status(thm),[c58606, c93])).
% 29.21/29.41 cnf(c59426,plain,$false,inference(resolution,status(thm),[c59369, c93])).
% 29.21/29.41 # SZS output end CNFRefutation
% 29.21/29.41
% 29.21/29.41 # Initial clauses : 59
% 29.21/29.41 # Processed clauses : 595
% 29.21/29.41 # Factors computed : 216
% 29.21/29.41 # Resolvents computed: 59099
% 29.21/29.41 # Tautologies deleted: 2
% 29.21/29.41 # Forward subsumed : 984
% 29.21/29.41 # Backward subsumed : 58
% 29.21/29.41 # -------- CPU Time ---------
% 29.21/29.41 # User time : 28.843 s
% 29.21/29.41 # System time : 0.210 s
% 29.21/29.41 # Total time : 29.053 s
%------------------------------------------------------------------------------