TSTP Solution File: GEO238+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO238+3 : TPTP v8.1.0. Released v4.0.0.
% 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 1.38s 1.61s
% Output : Refutation 1.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO238+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % 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 : Fri Jun 17 18:01:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.38/1.61 # Version: 1.3
% 1.38/1.61 # SZS status Theorem
% 1.38/1.61 # SZS output start CNFRefutation
% 1.38/1.61 fof(ax10_basics,axiom,(![A]:(![L]:(~(left_apart_point(A,L)|left_apart_point(A,reverse_line(L)))))),input).
% 1.38/1.61 fof(c66,axiom,(![A]:(![L]:(~left_apart_point(A,L)&~left_apart_point(A,reverse_line(L))))),inference(fof_nnf,status(thm),[ax10_basics])).
% 1.38/1.61 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])).
% 1.38/1.61 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])).])).
% 1.38/1.61 cnf(c70,axiom,~left_apart_point(X117,X118),inference(split_conjunct,status(thm),[c69])).
% 1.38/1.61 fof(a2_defns,axiom,(![X]:(![Y]:(right_apart_point(X,Y)<=>left_apart_point(X,reverse_line(Y))))),input).
% 1.38/1.61 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])).
% 1.38/1.61 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])).
% 1.38/1.61 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])).])).
% 1.38/1.61 cnf(c181,axiom,~right_apart_point(X176,X177)|left_apart_point(X176,reverse_line(X177)),inference(split_conjunct,status(thm),[c180])).
% 1.38/1.61 fof(con,conjecture,(![A]:(![B]:(![C]:(![L]:((divides_points(L,A,B)÷s_points(L,A,C))=>(~divides_points(L,B,C))))))),input).
% 1.38/1.61 fof(c0,negated_conjecture,(~(![A]:(![B]:(![C]:(![L]:((divides_points(L,A,B)÷s_points(L,A,C))=>(~divides_points(L,B,C)))))))),inference(assume_negation,status(cth),[con])).
% 1.38/1.61 fof(c1,negated_conjecture,(~(![A]:(![B]:(![C]:(![L]:((divides_points(L,A,B)÷s_points(L,A,C))=>~divides_points(L,B,C))))))),inference(fof_simplification,status(thm),[c0])).
% 1.38/1.61 fof(c2,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[L]:((divides_points(L,A,B)÷s_points(L,A,C))÷s_points(L,B,C)))))),inference(fof_nnf,status(thm),[c1])).
% 1.38/1.61 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:((divides_points(X5,X2,X3)÷s_points(X5,X2,X4))÷s_points(X5,X3,X4)))))),inference(variable_rename,status(thm),[c2])).
% 1.38/1.61 fof(c4,negated_conjecture,((divides_points(skolem0004,skolem0001,skolem0002)÷s_points(skolem0004,skolem0001,skolem0003))÷s_points(skolem0004,skolem0002,skolem0003)),inference(skolemize,status(esa),[c3])).
% 1.38/1.61 cnf(c7,negated_conjecture,divides_points(skolem0004,skolem0002,skolem0003),inference(split_conjunct,status(thm),[c4])).
% 1.38/1.61 fof(a8_defns,axiom,(![A]:(![B]:(![L]:(divides_points(L,A,B)<=>((left_apart_point(A,L)&right_apart_point(B,L))|(right_apart_point(A,L)&left_apart_point(B,L))))))),input).
% 1.38/1.61 fof(c130,axiom,(![A]:(![B]:(![L]:((~divides_points(L,A,B)|((left_apart_point(A,L)&right_apart_point(B,L))|(right_apart_point(A,L)&left_apart_point(B,L))))&(((~left_apart_point(A,L)|~right_apart_point(B,L))&(~right_apart_point(A,L)|~left_apart_point(B,L)))|divides_points(L,A,B)))))),inference(fof_nnf,status(thm),[a8_defns])).
% 1.38/1.61 fof(c131,axiom,((![A]:(![B]:(![L]:(~divides_points(L,A,B)|((left_apart_point(A,L)&right_apart_point(B,L))|(right_apart_point(A,L)&left_apart_point(B,L)))))))&(![A]:(![B]:(![L]:(((~left_apart_point(A,L)|~right_apart_point(B,L))&(~right_apart_point(A,L)|~left_apart_point(B,L)))|divides_points(L,A,B)))))),inference(shift_quantors,status(thm),[c130])).
% 1.38/1.61 fof(c133,axiom,(![X81]:(![X82]:(![X83]:(![X84]:(![X85]:(![X86]:((~divides_points(X83,X81,X82)|((left_apart_point(X81,X83)&right_apart_point(X82,X83))|(right_apart_point(X81,X83)&left_apart_point(X82,X83))))&(((~left_apart_point(X84,X86)|~right_apart_point(X85,X86))&(~right_apart_point(X84,X86)|~left_apart_point(X85,X86)))|divides_points(X86,X84,X85))))))))),inference(shift_quantors,status(thm),[fof(c132,axiom,((![X81]:(![X82]:(![X83]:(~divides_points(X83,X81,X82)|((left_apart_point(X81,X83)&right_apart_point(X82,X83))|(right_apart_point(X81,X83)&left_apart_point(X82,X83)))))))&(![X84]:(![X85]:(![X86]:(((~left_apart_point(X84,X86)|~right_apart_point(X85,X86))&(~right_apart_point(X84,X86)|~left_apart_point(X85,X86)))|divides_points(X86,X84,X85)))))),inference(variable_rename,status(thm),[c131])).])).
% 1.38/1.61 fof(c134,axiom,(![X81]:(![X82]:(![X83]:(![X84]:(![X85]:(![X86]:((((~divides_points(X83,X81,X82)|(left_apart_point(X81,X83)|right_apart_point(X81,X83)))&(~divides_points(X83,X81,X82)|(left_apart_point(X81,X83)|left_apart_point(X82,X83))))&((~divides_points(X83,X81,X82)|(right_apart_point(X82,X83)|right_apart_point(X81,X83)))&(~divides_points(X83,X81,X82)|(right_apart_point(X82,X83)|left_apart_point(X82,X83)))))&(((~left_apart_point(X84,X86)|~right_apart_point(X85,X86))|divides_points(X86,X84,X85))&((~right_apart_point(X84,X86)|~left_apart_point(X85,X86))|divides_points(X86,X84,X85)))))))))),inference(distribute,status(thm),[c133])).
% 1.38/1.61 cnf(c135,axiom,~divides_points(X474,X475,X476)|left_apart_point(X475,X474)|right_apart_point(X475,X474),inference(split_conjunct,status(thm),[c134])).
% 1.38/1.61 cnf(c478,plain,left_apart_point(skolem0002,skolem0004)|right_apart_point(skolem0002,skolem0004),inference(resolution,status(thm),[c135, c7])).
% 1.38/1.61 cnf(c4639,plain,right_apart_point(skolem0002,skolem0004),inference(resolution,status(thm),[c478, c70])).
% 1.38/1.61 cnf(c4642,plain,left_apart_point(skolem0002,reverse_line(skolem0004)),inference(resolution,status(thm),[c4639, c181])).
% 1.38/1.61 cnf(c4645,plain,$false,inference(resolution,status(thm),[c4642, c70])).
% 1.38/1.61 # SZS output end CNFRefutation
% 1.38/1.61
% 1.38/1.61 # Initial clauses : 69
% 1.38/1.61 # Processed clauses : 252
% 1.38/1.61 # Factors computed : 15
% 1.38/1.61 # Resolvents computed: 4442
% 1.38/1.61 # Tautologies deleted: 8
% 1.38/1.61 # Forward subsumed : 426
% 1.38/1.61 # Backward subsumed : 4
% 1.38/1.61 # -------- CPU Time ---------
% 1.38/1.61 # User time : 1.258 s
% 1.38/1.61 # System time : 0.017 s
% 1.38/1.61 # Total time : 1.275 s
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