TSTP Solution File: GEO237+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO237+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n018.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 0.38s 0.58s
% Output : Refutation 0.38s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO237+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.06/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 17:18:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.38/0.58 # Version: 1.3
% 0.38/0.58 # SZS status Theorem
% 0.38/0.58 # SZS output start CNFRefutation
% 0.38/0.58 fof(oag10,axiom,(![A]:(![L]:(~(left_apart_point(A,L)|left_apart_point(A,reverse_line(L)))))),input).
% 0.38/0.58 fof(c67,axiom,(![A]:(![L]:(~left_apart_point(A,L)&~left_apart_point(A,reverse_line(L))))),inference(fof_nnf,status(thm),[oag10])).
% 0.38/0.58 fof(c68,axiom,((![A]:(![L]:~left_apart_point(A,L)))&(![A]:(![L]:~left_apart_point(A,reverse_line(L))))),inference(shift_quantors,status(thm),[c67])).
% 0.38/0.58 fof(c70,axiom,(![X44]:(![X45]:(![X46]:(![X47]:(~left_apart_point(X44,X45)&~left_apart_point(X46,reverse_line(X47))))))),inference(shift_quantors,status(thm),[fof(c69,axiom,((![X44]:(![X45]:~left_apart_point(X44,X45)))&(![X46]:(![X47]:~left_apart_point(X46,reverse_line(X47))))),inference(variable_rename,status(thm),[c68])).])).
% 0.38/0.58 cnf(c71,axiom,~left_apart_point(X97,X98),inference(split_conjunct,status(thm),[c70])).
% 0.38/0.58 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).
% 0.38/0.58 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])).
% 0.38/0.58 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])).
% 0.38/0.58 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])).
% 0.38/0.58 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])).
% 0.38/0.58 cnf(c5,negated_conjecture,divides_points(skolem0004,skolem0001,skolem0002),inference(split_conjunct,status(thm),[c3])).
% 0.38/0.58 fof(div_def,axiom,(![A]:(![B]:(![L]:(divides_points(L,A,B)<=>((left_apart_point(A,L)&left_apart_point(B,reverse_line(L)))|(left_apart_point(A,reverse_line(L))&left_apart_point(B,L))))))),input).
% 0.38/0.58 fof(c136,axiom,(![A]:(![B]:(![L]:((~divides_points(L,A,B)|((left_apart_point(A,L)&left_apart_point(B,reverse_line(L)))|(left_apart_point(A,reverse_line(L))&left_apart_point(B,L))))&(((~left_apart_point(A,L)|~left_apart_point(B,reverse_line(L)))&(~left_apart_point(A,reverse_line(L))|~left_apart_point(B,L)))|divides_points(L,A,B)))))),inference(fof_nnf,status(thm),[div_def])).
% 0.38/0.58 fof(c137,axiom,((![A]:(![B]:(![L]:(~divides_points(L,A,B)|((left_apart_point(A,L)&left_apart_point(B,reverse_line(L)))|(left_apart_point(A,reverse_line(L))&left_apart_point(B,L)))))))&(![A]:(![B]:(![L]:(((~left_apart_point(A,L)|~left_apart_point(B,reverse_line(L)))&(~left_apart_point(A,reverse_line(L))|~left_apart_point(B,L)))|divides_points(L,A,B)))))),inference(shift_quantors,status(thm),[c136])).
% 0.38/0.58 fof(c139,axiom,(![X81]:(![X82]:(![X83]:(![X84]:(![X85]:(![X86]:((~divides_points(X83,X81,X82)|((left_apart_point(X81,X83)&left_apart_point(X82,reverse_line(X83)))|(left_apart_point(X81,reverse_line(X83))&left_apart_point(X82,X83))))&(((~left_apart_point(X84,X86)|~left_apart_point(X85,reverse_line(X86)))&(~left_apart_point(X84,reverse_line(X86))|~left_apart_point(X85,X86)))|divides_points(X86,X84,X85))))))))),inference(shift_quantors,status(thm),[fof(c138,axiom,((![X81]:(![X82]:(![X83]:(~divides_points(X83,X81,X82)|((left_apart_point(X81,X83)&left_apart_point(X82,reverse_line(X83)))|(left_apart_point(X81,reverse_line(X83))&left_apart_point(X82,X83)))))))&(![X84]:(![X85]:(![X86]:(((~left_apart_point(X84,X86)|~left_apart_point(X85,reverse_line(X86)))&(~left_apart_point(X84,reverse_line(X86))|~left_apart_point(X85,X86)))|divides_points(X86,X84,X85)))))),inference(variable_rename,status(thm),[c137])).])).
% 0.38/0.58 fof(c140,axiom,(![X81]:(![X82]:(![X83]:(![X84]:(![X85]:(![X86]:((((~divides_points(X83,X81,X82)|(left_apart_point(X81,X83)|left_apart_point(X81,reverse_line(X83))))&(~divides_points(X83,X81,X82)|(left_apart_point(X81,X83)|left_apart_point(X82,X83))))&((~divides_points(X83,X81,X82)|(left_apart_point(X82,reverse_line(X83))|left_apart_point(X81,reverse_line(X83))))&(~divides_points(X83,X81,X82)|(left_apart_point(X82,reverse_line(X83))|left_apart_point(X82,X83)))))&(((~left_apart_point(X84,X86)|~left_apart_point(X85,reverse_line(X86)))|divides_points(X86,X84,X85))&((~left_apart_point(X84,reverse_line(X86))|~left_apart_point(X85,X86))|divides_points(X86,X84,X85)))))))))),inference(distribute,status(thm),[c139])).
% 0.38/0.58 cnf(c142,axiom,~divides_points(X172,X173,X171)|left_apart_point(X173,X172)|left_apart_point(X171,X172),inference(split_conjunct,status(thm),[c140])).
% 0.38/0.58 cnf(c163,plain,left_apart_point(skolem0001,skolem0004)|left_apart_point(skolem0002,skolem0004),inference(resolution,status(thm),[c142, c5])).
% 0.38/0.58 cnf(c164,plain,left_apart_point(skolem0002,skolem0004),inference(resolution,status(thm),[c163, c71])).
% 0.38/0.58 cnf(c166,plain,$false,inference(resolution,status(thm),[c164, c71])).
% 0.38/0.58 # SZS output end CNFRefutation
% 0.38/0.58
% 0.38/0.58 # Initial clauses : 62
% 0.38/0.58 # Processed clauses : 28
% 0.38/0.58 # Factors computed : 0
% 0.38/0.58 # Resolvents computed: 4
% 0.38/0.58 # Tautologies deleted: 0
% 0.38/0.58 # Forward subsumed : 12
% 0.38/0.58 # Backward subsumed : 1
% 0.38/0.58 # -------- CPU Time ---------
% 0.38/0.58 # User time : 0.233 s
% 0.38/0.58 # System time : 0.012 s
% 0.38/0.58 # Total time : 0.245 s
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