TSTP Solution File: GEO222+3 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO222+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n008.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 05:59:30 EDT 2022
% Result : Theorem 34.52s 34.70s
% Output : Refutation 34.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO222+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 18 10:59:37 EDT 2022
% 0.14/0.36 % CPUTime :
% 34.52/34.70 # Version: 1.3
% 34.52/34.70 # SZS status Theorem
% 34.52/34.70 # SZS output start CNFRefutation
% 34.52/34.70 fof(con,conjecture,(![A]:(![L]:parallel_lines(L,orthogonal_through_point(orthogonal_through_point(L,A),A)))),input).
% 34.52/34.70 fof(c0,negated_conjecture,(~(![A]:(![L]:parallel_lines(L,orthogonal_through_point(orthogonal_through_point(L,A),A))))),inference(assume_negation,status(cth),[con])).
% 34.52/34.70 fof(c1,negated_conjecture,(?[A]:(?[L]:~parallel_lines(L,orthogonal_through_point(orthogonal_through_point(L,A),A)))),inference(fof_nnf,status(thm),[c0])).
% 34.52/34.70 fof(c2,negated_conjecture,(?[X2]:(?[X3]:~parallel_lines(X3,orthogonal_through_point(orthogonal_through_point(X3,X2),X2)))),inference(variable_rename,status(thm),[c1])).
% 34.52/34.70 fof(c3,negated_conjecture,~parallel_lines(skolem0002,orthogonal_through_point(orthogonal_through_point(skolem0002,skolem0001),skolem0001)),inference(skolemize,status(esa),[c2])).
% 34.52/34.70 cnf(c4,negated_conjecture,~parallel_lines(skolem0002,orthogonal_through_point(orthogonal_through_point(skolem0002,skolem0001),skolem0001)),inference(split_conjunct,status(thm),[c3])).
% 34.52/34.70 fof(a5,axiom,(![X]:(![Y]:(orthogonal_lines(X,Y)<=>(~unorthogonal_lines(X,Y))))),input).
% 34.52/34.70 fof(c5,axiom,(![X]:(![Y]:(orthogonal_lines(X,Y)<=>~unorthogonal_lines(X,Y)))),inference(fof_simplification,status(thm),[a5])).
% 34.52/34.70 fof(c6,axiom,(![X]:(![Y]:((~orthogonal_lines(X,Y)|~unorthogonal_lines(X,Y))&(unorthogonal_lines(X,Y)|orthogonal_lines(X,Y))))),inference(fof_nnf,status(thm),[c5])).
% 34.52/34.70 fof(c7,axiom,((![X]:(![Y]:(~orthogonal_lines(X,Y)|~unorthogonal_lines(X,Y))))&(![X]:(![Y]:(unorthogonal_lines(X,Y)|orthogonal_lines(X,Y))))),inference(shift_quantors,status(thm),[c6])).
% 34.52/34.70 fof(c9,axiom,(![X4]:(![X5]:(![X6]:(![X7]:((~orthogonal_lines(X4,X5)|~unorthogonal_lines(X4,X5))&(unorthogonal_lines(X6,X7)|orthogonal_lines(X6,X7))))))),inference(shift_quantors,status(thm),[fof(c8,axiom,((![X4]:(![X5]:(~orthogonal_lines(X4,X5)|~unorthogonal_lines(X4,X5))))&(![X6]:(![X7]:(unorthogonal_lines(X6,X7)|orthogonal_lines(X6,X7))))),inference(variable_rename,status(thm),[c7])).])).
% 34.52/34.70 cnf(c10,axiom,~orthogonal_lines(X106,X107)|~unorthogonal_lines(X106,X107),inference(split_conjunct,status(thm),[c9])).
% 34.52/34.70 fof(ooc1,axiom,(![A]:(![L]:(~unorthogonal_lines(orthogonal_through_point(L,A),L)))),input).
% 34.52/34.70 fof(c76,axiom,(![A]:(![L]:~unorthogonal_lines(orthogonal_through_point(L,A),L))),inference(fof_simplification,status(thm),[ooc1])).
% 34.52/34.70 fof(c77,axiom,(![X46]:(![X47]:~unorthogonal_lines(orthogonal_through_point(X47,X46),X47))),inference(variable_rename,status(thm),[c76])).
% 34.52/34.70 cnf(c78,axiom,~unorthogonal_lines(orthogonal_through_point(X100,X101),X100),inference(split_conjunct,status(thm),[c77])).
% 34.52/34.70 fof(a3,axiom,(![X]:(![Y]:(parallel_lines(X,Y)<=>(~convergent_lines(X,Y))))),input).
% 34.52/34.70 fof(c19,axiom,(![X]:(![Y]:(parallel_lines(X,Y)<=>~convergent_lines(X,Y)))),inference(fof_simplification,status(thm),[a3])).
% 34.52/34.70 fof(c20,axiom,(![X]:(![Y]:((~parallel_lines(X,Y)|~convergent_lines(X,Y))&(convergent_lines(X,Y)|parallel_lines(X,Y))))),inference(fof_nnf,status(thm),[c19])).
% 34.52/34.70 fof(c21,axiom,((![X]:(![Y]:(~parallel_lines(X,Y)|~convergent_lines(X,Y))))&(![X]:(![Y]:(convergent_lines(X,Y)|parallel_lines(X,Y))))),inference(shift_quantors,status(thm),[c20])).
% 34.52/34.70 fof(c23,axiom,(![X12]:(![X13]:(![X14]:(![X15]:((~parallel_lines(X12,X13)|~convergent_lines(X12,X13))&(convergent_lines(X14,X15)|parallel_lines(X14,X15))))))),inference(shift_quantors,status(thm),[fof(c22,axiom,((![X12]:(![X13]:(~parallel_lines(X12,X13)|~convergent_lines(X12,X13))))&(![X14]:(![X15]:(convergent_lines(X14,X15)|parallel_lines(X14,X15))))),inference(variable_rename,status(thm),[c21])).])).
% 34.52/34.70 cnf(c25,axiom,convergent_lines(X122,X123)|parallel_lines(X122,X123),inference(split_conjunct,status(thm),[c23])).
% 34.52/34.70 fof(couo1,axiom,(![L]:(![M]:(![N]:(((~unorthogonal_lines(L,M))&(~unorthogonal_lines(L,N)))=>(~convergent_lines(M,N)))))),input).
% 34.52/34.70 fof(c52,axiom,(![L]:(![M]:(![N]:((~unorthogonal_lines(L,M)&~unorthogonal_lines(L,N))=>~convergent_lines(M,N))))),inference(fof_simplification,status(thm),[couo1])).
% 34.52/34.70 fof(c53,axiom,(![L]:(![M]:(![N]:((unorthogonal_lines(L,M)|unorthogonal_lines(L,N))|~convergent_lines(M,N))))),inference(fof_nnf,status(thm),[c52])).
% 34.52/34.70 fof(c54,axiom,(![X32]:(![X33]:(![X34]:((unorthogonal_lines(X32,X33)|unorthogonal_lines(X32,X34))|~convergent_lines(X33,X34))))),inference(variable_rename,status(thm),[c53])).
% 34.52/34.70 cnf(c55,axiom,unorthogonal_lines(X189,X188)|unorthogonal_lines(X189,X190)|~convergent_lines(X188,X190),inference(split_conjunct,status(thm),[c54])).
% 34.52/34.70 cnf(c198,plain,unorthogonal_lines(X529,X528)|unorthogonal_lines(X529,X530)|parallel_lines(X528,X530),inference(resolution,status(thm),[c55, c25])).
% 34.52/34.70 cnf(c485,plain,unorthogonal_lines(orthogonal_through_point(X569,X570),X571)|parallel_lines(X569,X571),inference(resolution,status(thm),[c198, c78])).
% 34.52/34.70 cnf(c568,plain,parallel_lines(X661,X662)|~orthogonal_lines(orthogonal_through_point(X661,X663),X662),inference(resolution,status(thm),[c485, c10])).
% 34.52/34.70 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),input).
% 34.52/34.70 fof(c151,axiom,(![X]:~convergent_lines(X,X)),inference(fof_simplification,status(thm),[apart3])).
% 34.52/34.70 fof(c152,axiom,(![X92]:~convergent_lines(X92,X92)),inference(variable_rename,status(thm),[c151])).
% 34.52/34.70 cnf(c153,axiom,~convergent_lines(X95,X95),inference(split_conjunct,status(thm),[c152])).
% 34.52/34.70 cnf(c24,axiom,~parallel_lines(X121,X120)|~convergent_lines(X121,X120),inference(split_conjunct,status(thm),[c23])).
% 34.52/34.70 fof(coipo1,axiom,(![L]:(![M]:(~((~convergent_lines(L,M))&(~unorthogonal_lines(L,M)))))),input).
% 34.52/34.70 fof(c64,axiom,(![L]:(![M]:(~(~convergent_lines(L,M)&~unorthogonal_lines(L,M))))),inference(fof_simplification,status(thm),[coipo1])).
% 34.52/34.70 fof(c65,axiom,(![L]:(![M]:(convergent_lines(L,M)|unorthogonal_lines(L,M)))),inference(fof_nnf,status(thm),[c64])).
% 34.52/34.70 fof(c66,axiom,(![X38]:(![X39]:(convergent_lines(X38,X39)|unorthogonal_lines(X38,X39)))),inference(variable_rename,status(thm),[c65])).
% 34.52/34.70 cnf(c67,axiom,convergent_lines(X138,X137)|unorthogonal_lines(X138,X137),inference(split_conjunct,status(thm),[c66])).
% 34.52/34.70 cnf(c174,plain,unorthogonal_lines(X175,X174)|~parallel_lines(X175,X174),inference(resolution,status(thm),[c67, c24])).
% 34.52/34.70 fof(p1,axiom,(![X]:(![Y]:(distinct_lines(X,Y)=>convergent_lines(X,Y)))),input).
% 34.52/34.70 fof(c99,axiom,(![X]:(![Y]:(~distinct_lines(X,Y)|convergent_lines(X,Y)))),inference(fof_nnf,status(thm),[p1])).
% 34.52/34.70 fof(c100,axiom,(![X60]:(![X61]:(~distinct_lines(X60,X61)|convergent_lines(X60,X61)))),inference(variable_rename,status(thm),[c99])).
% 34.52/34.70 cnf(c101,axiom,~distinct_lines(X161,X160)|convergent_lines(X161,X160),inference(split_conjunct,status(thm),[c100])).
% 34.52/34.70 fof(ceq3,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),input).
% 34.52/34.70 fof(c102,axiom,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,status(thm),[ceq3])).
% 34.52/34.70 fof(c103,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,status(thm),[c102])).
% 34.52/34.70 fof(c105,axiom,(![X62]:(![X63]:(![X64]:(~convergent_lines(X62,X63)|(distinct_lines(X63,X64)|convergent_lines(X62,X64)))))),inference(shift_quantors,status(thm),[fof(c104,axiom,(![X62]:(![X63]:(~convergent_lines(X62,X63)|(![X64]:(distinct_lines(X63,X64)|convergent_lines(X62,X64)))))),inference(variable_rename,status(thm),[c103])).])).
% 34.52/34.70 cnf(c106,axiom,~convergent_lines(X337,X338)|distinct_lines(X338,X336)|convergent_lines(X337,X336),inference(split_conjunct,status(thm),[c105])).
% 34.52/34.70 cnf(c318,plain,distinct_lines(X764,X762)|convergent_lines(X763,X762)|parallel_lines(X763,X764),inference(resolution,status(thm),[c106, c25])).
% 34.52/34.70 cnf(c766,plain,distinct_lines(X771,X772)|parallel_lines(X772,X771),inference(resolution,status(thm),[c318, c153])).
% 34.52/34.70 cnf(c788,plain,parallel_lines(X778,X779)|convergent_lines(X779,X778),inference(resolution,status(thm),[c766, c101])).
% 34.52/34.70 cnf(c813,plain,convergent_lines(X842,X843)|unorthogonal_lines(X843,X842),inference(resolution,status(thm),[c788, c174])).
% 34.52/34.70 cnf(c11,axiom,unorthogonal_lines(X109,X108)|orthogonal_lines(X109,X108),inference(split_conjunct,status(thm),[c9])).
% 34.52/34.70 fof(cotno1,axiom,(![L]:(![M]:(![N]:((((~convergent_lines(L,M))|(~unorthogonal_lines(L,M)))&((~convergent_lines(L,N))|(~unorthogonal_lines(L,N))))=>((~convergent_lines(M,N))|(~unorthogonal_lines(M,N))))))),input).
% 34.52/34.71 fof(c56,axiom,(![L]:(![M]:(![N]:(((~convergent_lines(L,M)|~unorthogonal_lines(L,M))&(~convergent_lines(L,N)|~unorthogonal_lines(L,N)))=>(~convergent_lines(M,N)|~unorthogonal_lines(M,N)))))),inference(fof_simplification,status(thm),[cotno1])).
% 34.52/34.71 fof(c57,axiom,(![L]:(![M]:(![N]:(((convergent_lines(L,M)&unorthogonal_lines(L,M))|(convergent_lines(L,N)&unorthogonal_lines(L,N)))|(~convergent_lines(M,N)|~unorthogonal_lines(M,N)))))),inference(fof_nnf,status(thm),[c56])).
% 34.52/34.71 fof(c58,axiom,(![X35]:(![X36]:(![X37]:(((convergent_lines(X35,X36)&unorthogonal_lines(X35,X36))|(convergent_lines(X35,X37)&unorthogonal_lines(X35,X37)))|(~convergent_lines(X36,X37)|~unorthogonal_lines(X36,X37)))))),inference(variable_rename,status(thm),[c57])).
% 34.52/34.71 fof(c59,axiom,(![X35]:(![X36]:(![X37]:((((convergent_lines(X35,X36)|convergent_lines(X35,X37))|(~convergent_lines(X36,X37)|~unorthogonal_lines(X36,X37)))&((convergent_lines(X35,X36)|unorthogonal_lines(X35,X37))|(~convergent_lines(X36,X37)|~unorthogonal_lines(X36,X37))))&(((unorthogonal_lines(X35,X36)|convergent_lines(X35,X37))|(~convergent_lines(X36,X37)|~unorthogonal_lines(X36,X37)))&((unorthogonal_lines(X35,X36)|unorthogonal_lines(X35,X37))|(~convergent_lines(X36,X37)|~unorthogonal_lines(X36,X37)))))))),inference(distribute,status(thm),[c58])).
% 34.52/34.71 cnf(c62,axiom,unorthogonal_lines(X229,X230)|convergent_lines(X229,X231)|~convergent_lines(X230,X231)|~unorthogonal_lines(X230,X231),inference(split_conjunct,status(thm),[c59])).
% 34.52/34.71 cnf(c238,plain,unorthogonal_lines(X884,X882)|convergent_lines(X884,X883)|~convergent_lines(X882,X883)|orthogonal_lines(X882,X883),inference(resolution,status(thm),[c62, c11])).
% 34.52/34.71 cnf(c1054,plain,unorthogonal_lines(X9588,X9589)|convergent_lines(X9588,X9590)|orthogonal_lines(X9589,X9590)|unorthogonal_lines(X9590,X9589),inference(resolution,status(thm),[c238, c813])).
% 34.52/34.71 cnf(c61943,plain,unorthogonal_lines(X9592,X9591)|orthogonal_lines(X9591,X9592),inference(resolution,status(thm),[c1054, c153])).
% 34.52/34.71 cnf(c62048,plain,orthogonal_lines(X9594,orthogonal_through_point(X9594,X9595)),inference(resolution,status(thm),[c61943, c78])).
% 34.52/34.71 cnf(c62132,plain,parallel_lines(X9701,orthogonal_through_point(orthogonal_through_point(X9701,X9700),X9702)),inference(resolution,status(thm),[c62048, c568])).
% 34.52/34.71 cnf(c63426,plain,$false,inference(resolution,status(thm),[c62132, c4])).
% 34.52/34.71 # SZS output end CNFRefutation
% 34.52/34.71
% 34.52/34.71 # Initial clauses : 47
% 34.52/34.71 # Processed clauses : 857
% 34.52/34.71 # Factors computed : 156
% 34.52/34.71 # Resolvents computed: 63171
% 34.52/34.71 # Tautologies deleted: 12
% 34.52/34.71 # Forward subsumed : 2559
% 34.52/34.71 # Backward subsumed : 88
% 34.52/34.71 # -------- CPU Time ---------
% 34.52/34.71 # User time : 34.183 s
% 34.52/34.71 # System time : 0.162 s
% 34.52/34.71 # Total time : 34.345 s
%------------------------------------------------------------------------------