TSTP Solution File: GEO248+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO248+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : 600s
% DateTime : Sat Jul 16 05:59:45 EDT 2022
% Result : Theorem 0.55s 0.74s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO248+3 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n026.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 : Fri Jun 17 18:16:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.55/0.74 # Version: 1.3
% 0.55/0.74 # SZS status Theorem
% 0.55/0.74 # SZS output start CNFRefutation
% 0.55/0.74 fof(ax10_basics,axiom,(![A]:(![L]:(~(left_apart_point(A,L)|left_apart_point(A,reverse_line(L)))))),input).
% 0.55/0.74 fof(c65,axiom,(![A]:(![L]:(~left_apart_point(A,L)&~left_apart_point(A,reverse_line(L))))),inference(fof_nnf,status(thm),[ax10_basics])).
% 0.55/0.74 fof(c66,axiom,((![A]:(![L]:~left_apart_point(A,L)))&(![A]:(![L]:~left_apart_point(A,reverse_line(L))))),inference(shift_quantors,status(thm),[c65])).
% 0.55/0.74 fof(c68,axiom,(![X43]:(![X44]:(![X45]:(![X46]:(~left_apart_point(X43,X44)&~left_apart_point(X45,reverse_line(X46))))))),inference(shift_quantors,status(thm),[fof(c67,axiom,((![X43]:(![X44]:~left_apart_point(X43,X44)))&(![X45]:(![X46]:~left_apart_point(X45,reverse_line(X46))))),inference(variable_rename,status(thm),[c66])).])).
% 0.55/0.74 cnf(c69,axiom,~left_apart_point(X116,X117),inference(split_conjunct,status(thm),[c68])).
% 0.55/0.74 fof(a2_defns,axiom,(![X]:(![Y]:(right_apart_point(X,Y)<=>left_apart_point(X,reverse_line(Y))))),input).
% 0.55/0.74 fof(c176,axiom,(![X]:(![Y]:((~right_apart_point(X,Y)|left_apart_point(X,reverse_line(Y)))&(~left_apart_point(X,reverse_line(Y))|right_apart_point(X,Y))))),inference(fof_nnf,status(thm),[a2_defns])).
% 0.55/0.74 fof(c177,axiom,((![X]:(![Y]:(~right_apart_point(X,Y)|left_apart_point(X,reverse_line(Y)))))&(![X]:(![Y]:(~left_apart_point(X,reverse_line(Y))|right_apart_point(X,Y))))),inference(shift_quantors,status(thm),[c176])).
% 0.55/0.74 fof(c179,axiom,(![X106]:(![X107]:(![X108]:(![X109]:((~right_apart_point(X106,X107)|left_apart_point(X106,reverse_line(X107)))&(~left_apart_point(X108,reverse_line(X109))|right_apart_point(X108,X109))))))),inference(shift_quantors,status(thm),[fof(c178,axiom,((![X106]:(![X107]:(~right_apart_point(X106,X107)|left_apart_point(X106,reverse_line(X107)))))&(![X108]:(![X109]:(~left_apart_point(X108,reverse_line(X109))|right_apart_point(X108,X109))))),inference(variable_rename,status(thm),[c177])).])).
% 0.55/0.74 cnf(c180,axiom,~right_apart_point(X176,X175)|left_apart_point(X176,reverse_line(X175)),inference(split_conjunct,status(thm),[c179])).
% 0.55/0.74 fof(con,conjecture,(![A]:(![B]:(![L]:((apart_point_and_line(A,L)&incident_point_and_line(B,parallel_lines(L,A)))=>apart_point_and_line(B,L))))),input).
% 0.55/0.74 fof(c0,negated_conjecture,(~(![A]:(![B]:(![L]:((apart_point_and_line(A,L)&incident_point_and_line(B,parallel_lines(L,A)))=>apart_point_and_line(B,L)))))),inference(assume_negation,status(cth),[con])).
% 0.55/0.74 fof(c1,negated_conjecture,(?[A]:(?[B]:(?[L]:((apart_point_and_line(A,L)&incident_point_and_line(B,parallel_lines(L,A)))&~apart_point_and_line(B,L))))),inference(fof_nnf,status(thm),[c0])).
% 0.55/0.74 fof(c2,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((apart_point_and_line(X2,X4)&incident_point_and_line(X3,parallel_lines(X4,X2)))&~apart_point_and_line(X3,X4))))),inference(variable_rename,status(thm),[c1])).
% 0.55/0.74 fof(c3,negated_conjecture,((apart_point_and_line(skolem0001,skolem0003)&incident_point_and_line(skolem0002,parallel_lines(skolem0003,skolem0001)))&~apart_point_and_line(skolem0002,skolem0003)),inference(skolemize,status(esa),[c2])).
% 0.55/0.74 cnf(c4,negated_conjecture,apart_point_and_line(skolem0001,skolem0003),inference(split_conjunct,status(thm),[c3])).
% 0.55/0.74 fof(a6_defns,axiom,(![A]:(![L]:(apart_point_and_line(A,L)<=>(left_apart_point(A,L)|right_apart_point(A,L))))),input).
% 0.55/0.74 fof(c148,axiom,(![A]:(![L]:((~apart_point_and_line(A,L)|(left_apart_point(A,L)|right_apart_point(A,L)))&((~left_apart_point(A,L)&~right_apart_point(A,L))|apart_point_and_line(A,L))))),inference(fof_nnf,status(thm),[a6_defns])).
% 0.55/0.74 fof(c149,axiom,((![A]:(![L]:(~apart_point_and_line(A,L)|(left_apart_point(A,L)|right_apart_point(A,L)))))&(![A]:(![L]:((~left_apart_point(A,L)&~right_apart_point(A,L))|apart_point_and_line(A,L))))),inference(shift_quantors,status(thm),[c148])).
% 0.55/0.74 fof(c151,axiom,(![X90]:(![X91]:(![X92]:(![X93]:((~apart_point_and_line(X90,X91)|(left_apart_point(X90,X91)|right_apart_point(X90,X91)))&((~left_apart_point(X92,X93)&~right_apart_point(X92,X93))|apart_point_and_line(X92,X93))))))),inference(shift_quantors,status(thm),[fof(c150,axiom,((![X90]:(![X91]:(~apart_point_and_line(X90,X91)|(left_apart_point(X90,X91)|right_apart_point(X90,X91)))))&(![X92]:(![X93]:((~left_apart_point(X92,X93)&~right_apart_point(X92,X93))|apart_point_and_line(X92,X93))))),inference(variable_rename,status(thm),[c149])).])).
% 0.55/0.74 fof(c152,axiom,(![X90]:(![X91]:(![X92]:(![X93]:((~apart_point_and_line(X90,X91)|(left_apart_point(X90,X91)|right_apart_point(X90,X91)))&((~left_apart_point(X92,X93)|apart_point_and_line(X92,X93))&(~right_apart_point(X92,X93)|apart_point_and_line(X92,X93)))))))),inference(distribute,status(thm),[c151])).
% 0.55/0.74 cnf(c153,axiom,~apart_point_and_line(X410,X409)|left_apart_point(X410,X409)|right_apart_point(X410,X409),inference(split_conjunct,status(thm),[c152])).
% 0.55/0.74 cnf(c384,plain,left_apart_point(skolem0001,skolem0003)|right_apart_point(skolem0001,skolem0003),inference(resolution,status(thm),[c153, c4])).
% 0.55/0.74 cnf(c509,plain,right_apart_point(skolem0001,skolem0003),inference(resolution,status(thm),[c384, c69])).
% 0.55/0.74 cnf(c513,plain,left_apart_point(skolem0001,reverse_line(skolem0003)),inference(resolution,status(thm),[c509, c180])).
% 0.55/0.74 cnf(c514,plain,$false,inference(resolution,status(thm),[c513, c69])).
% 0.55/0.74 # SZS output end CNFRefutation
% 0.55/0.74
% 0.55/0.74 # Initial clauses : 69
% 0.55/0.74 # Processed clauses : 108
% 0.55/0.74 # Factors computed : 2
% 0.55/0.74 # Resolvents computed: 325
% 0.55/0.74 # Tautologies deleted: 3
% 0.55/0.74 # Forward subsumed : 93
% 0.55/0.74 # Backward subsumed : 2
% 0.55/0.74 # -------- CPU Time ---------
% 0.55/0.74 # User time : 0.372 s
% 0.55/0.74 # System time : 0.017 s
% 0.55/0.74 # Total time : 0.389 s
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