TSTP Solution File: GEO237+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO237+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n009.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 05:59:39 EDT 2022
% Result : Theorem 0.51s 0.71s
% Output : Refutation 0.51s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO237+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.35 % Computer : n009.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sat Jun 18 13:56:22 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.51/0.71 # Version: 1.3
% 0.51/0.71 # SZS status Theorem
% 0.51/0.71 # SZS output start CNFRefutation
% 0.51/0.71 fof(ax10_basics,axiom,(![A]:(![L]:(~(left_apart_point(A,L)|left_apart_point(A,reverse_line(L)))))),input).
% 0.51/0.71 fof(c66,axiom,(![A]:(![L]:(~left_apart_point(A,L)&~left_apart_point(A,reverse_line(L))))),inference(fof_nnf,status(thm),[ax10_basics])).
% 0.51/0.71 fof(c67,axiom,((![A]:(![L]:~left_apart_point(A,L)))&(![A]:(![L]:~left_apart_point(A,reverse_line(L))))),inference(shift_quantors,status(thm),[c66])).
% 0.51/0.71 fof(c69,axiom,(![X44]:(![X45]:(![X46]:(![X47]:(~left_apart_point(X44,X45)&~left_apart_point(X46,reverse_line(X47))))))),inference(shift_quantors,status(thm),[fof(c68,axiom,((![X44]:(![X45]:~left_apart_point(X44,X45)))&(![X46]:(![X47]:~left_apart_point(X46,reverse_line(X47))))),inference(variable_rename,status(thm),[c67])).])).
% 0.51/0.71 cnf(c70,axiom,~left_apart_point(X117,X118),inference(split_conjunct,status(thm),[c69])).
% 0.51/0.71 fof(a2_defns,axiom,(![X]:(![Y]:(right_apart_point(X,Y)<=>left_apart_point(X,reverse_line(Y))))),input).
% 0.51/0.71 fof(c177,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])).
% 0.51/0.71 fof(c178,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),[c177])).
% 0.51/0.71 fof(c180,axiom,(![X107]:(![X108]:(![X109]:(![X110]:((~right_apart_point(X107,X108)|left_apart_point(X107,reverse_line(X108)))&(~left_apart_point(X109,reverse_line(X110))|right_apart_point(X109,X110))))))),inference(shift_quantors,status(thm),[fof(c179,axiom,((![X107]:(![X108]:(~right_apart_point(X107,X108)|left_apart_point(X107,reverse_line(X108)))))&(![X109]:(![X110]:(~left_apart_point(X109,reverse_line(X110))|right_apart_point(X109,X110))))),inference(variable_rename,status(thm),[c178])).])).
% 0.51/0.71 cnf(c181,axiom,~right_apart_point(X176,X177)|left_apart_point(X176,reverse_line(X177)),inference(split_conjunct,status(thm),[c180])).
% 0.51/0.71 fof(con,conjecture,(![A]:(![B]:(![C]:(![L]:(apart_point_and_line(C,L)=>(divides_points(L,A,B)=>(divides_points(L,A,C)|divides_points(L,B,C)))))))),input).
% 0.51/0.71 fof(c0,negated_conjecture,(~(![A]:(![B]:(![C]:(![L]:(apart_point_and_line(C,L)=>(divides_points(L,A,B)=>(divides_points(L,A,C)|divides_points(L,B,C))))))))),inference(assume_negation,status(cth),[con])).
% 0.51/0.71 fof(c1,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[L]:(apart_point_and_line(C,L)&(divides_points(L,A,B)&(~divides_points(L,A,C)&~divides_points(L,B,C)))))))),inference(fof_nnf,status(thm),[c0])).
% 0.51/0.71 fof(c2,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(apart_point_and_line(X4,X5)&(divides_points(X5,X2,X3)&(~divides_points(X5,X2,X4)&~divides_points(X5,X3,X4)))))))),inference(variable_rename,status(thm),[c1])).
% 0.51/0.71 fof(c3,negated_conjecture,(apart_point_and_line(skolem0003,skolem0004)&(divides_points(skolem0004,skolem0001,skolem0002)&(~divides_points(skolem0004,skolem0001,skolem0003)&~divides_points(skolem0004,skolem0002,skolem0003)))),inference(skolemize,status(esa),[c2])).
% 0.51/0.71 cnf(c4,negated_conjecture,apart_point_and_line(skolem0003,skolem0004),inference(split_conjunct,status(thm),[c3])).
% 0.51/0.71 fof(a6_defns,axiom,(![A]:(![L]:(apart_point_and_line(A,L)<=>(left_apart_point(A,L)|right_apart_point(A,L))))),input).
% 0.51/0.71 fof(c149,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])).
% 0.51/0.71 fof(c150,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),[c149])).
% 0.51/0.71 fof(c152,axiom,(![X91]:(![X92]:(![X93]:(![X94]:((~apart_point_and_line(X91,X92)|(left_apart_point(X91,X92)|right_apart_point(X91,X92)))&((~left_apart_point(X93,X94)&~right_apart_point(X93,X94))|apart_point_and_line(X93,X94))))))),inference(shift_quantors,status(thm),[fof(c151,axiom,((![X91]:(![X92]:(~apart_point_and_line(X91,X92)|(left_apart_point(X91,X92)|right_apart_point(X91,X92)))))&(![X93]:(![X94]:((~left_apart_point(X93,X94)&~right_apart_point(X93,X94))|apart_point_and_line(X93,X94))))),inference(variable_rename,status(thm),[c150])).])).
% 0.51/0.71 fof(c153,axiom,(![X91]:(![X92]:(![X93]:(![X94]:((~apart_point_and_line(X91,X92)|(left_apart_point(X91,X92)|right_apart_point(X91,X92)))&((~left_apart_point(X93,X94)|apart_point_and_line(X93,X94))&(~right_apart_point(X93,X94)|apart_point_and_line(X93,X94)))))))),inference(distribute,status(thm),[c152])).
% 0.51/0.71 cnf(c154,axiom,~apart_point_and_line(X411,X410)|left_apart_point(X411,X410)|right_apart_point(X411,X410),inference(split_conjunct,status(thm),[c153])).
% 0.51/0.71 cnf(c385,plain,left_apart_point(skolem0003,skolem0004)|right_apart_point(skolem0003,skolem0004),inference(resolution,status(thm),[c154, c4])).
% 0.51/0.71 cnf(c513,plain,right_apart_point(skolem0003,skolem0004),inference(resolution,status(thm),[c385, c70])).
% 0.51/0.71 cnf(c516,plain,left_apart_point(skolem0003,reverse_line(skolem0004)),inference(resolution,status(thm),[c513, c181])).
% 0.51/0.71 cnf(c519,plain,$false,inference(resolution,status(thm),[c516, c70])).
% 0.51/0.71 # SZS output end CNFRefutation
% 0.51/0.71
% 0.51/0.71 # Initial clauses : 70
% 0.51/0.71 # Processed clauses : 109
% 0.51/0.71 # Factors computed : 2
% 0.51/0.71 # Resolvents computed: 329
% 0.51/0.71 # Tautologies deleted: 3
% 0.51/0.71 # Forward subsumed : 93
% 0.51/0.71 # Backward subsumed : 2
% 0.51/0.71 # -------- CPU Time ---------
% 0.51/0.71 # User time : 0.323 s
% 0.51/0.71 # System time : 0.020 s
% 0.51/0.71 # Total time : 0.343 s
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