TSTP Solution File: GEO002-4 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO002-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n016.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 05:57:30 EDT 2022
% Result : Unsatisfiable 0.55s 0.72s
% Output : Refutation 0.55s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_a_between_a_and_b,negated_conjecture,
~ between(a,a,b),
input ).
cnf(segment_construction1,axiom,
between(X5,X8,extension(X5,X8,X6,X7)),
input ).
cnf(transitivity_for_betweeness,axiom,
( ~ between(X16,X19,X18)
| ~ between(X19,X17,X18)
| between(X16,X19,X17) ),
input ).
cnf(identity_for_equidistance,axiom,
( ~ equidistant(X2,X4,X3,X3)
| equalish(X2,X4) ),
input ).
cnf(segment_construction2,axiom,
equidistant(X9,extension(X11,X9,X10,X12),X10,X12),
input ).
cnf(c0,plain,
equalish(X13,extension(X14,X13,X15,X15)),
inference(resolution,status(thm),[segment_construction2,identity_for_equidistance]) ).
cnf(between_substitution3,axiom,
( ~ equalish(X20,X23)
| ~ between(X22,X21,X20)
| between(X22,X21,X23) ),
input ).
cnf(c1,plain,
( ~ between(X32,X31,extension(X31,X33,X30,X29))
| between(X32,X31,X33) ),
inference(resolution,status(thm),[transitivity_for_betweeness,segment_construction1]) ).
cnf(c4,plain,
between(X34,X34,X34),
inference(resolution,status(thm),[c1,segment_construction1]) ).
cnf(c6,plain,
( ~ equalish(X35,X36)
| between(X35,X35,X36) ),
inference(resolution,status(thm),[c4,between_substitution3]) ).
cnf(c7,plain,
between(X44,X44,extension(X45,X44,X46,X46)),
inference(resolution,status(thm),[c6,c0]) ).
cnf(c10,plain,
( ~ between(X68,X70,extension(X67,X70,X69,X69))
| between(X68,X70,X70) ),
inference(resolution,status(thm),[c7,transitivity_for_betweeness]) ).
cnf(c24,plain,
between(X72,X73,X73),
inference(resolution,status(thm),[c10,segment_construction1]) ).
cnf(outer_pasch2,axiom,
( ~ between(X61,X59,X60)
| ~ between(X62,X60,X58)
| between(X58,X59,outer_pasch(X59,X61,X62,X58,X60)) ),
input ).
cnf(c26,plain,
( ~ between(X244,X242,X243)
| between(X243,X242,outer_pasch(X242,X244,X245,X243,X243)) ),
inference(resolution,status(thm),[c24,outer_pasch2]) ).
cnf(c162,plain,
between(X247,X247,outer_pasch(X247,X248,X246,X247,X247)),
inference(resolution,status(thm),[c26,c24]) ).
cnf(outer_pasch1,axiom,
( ~ between(X40,X38,X39)
| ~ between(X41,X39,X37)
| between(X40,outer_pasch(X38,X40,X41,X37,X39),X41) ),
input ).
cnf(c27,plain,
( ~ between(X263,X264,X262)
| between(X263,outer_pasch(X264,X263,X261,X262,X262),X261) ),
inference(resolution,status(thm),[c24,outer_pasch1]) ).
cnf(c195,plain,
between(X267,outer_pasch(X266,X267,X265,X266,X266),X265),
inference(resolution,status(thm),[c27,c24]) ).
cnf(c200,plain,
( ~ between(X374,X373,X375)
| between(X374,X373,outer_pasch(X376,X373,X375,X376,X376)) ),
inference(resolution,status(thm),[c195,transitivity_for_betweeness]) ).
cnf(c416,plain,
between(X384,X383,outer_pasch(X385,X383,X383,X385,X385)),
inference(resolution,status(thm),[c200,c24]) ).
cnf(c446,plain,
( ~ between(X464,X463,outer_pasch(X465,X466,X466,X465,X465))
| between(X464,X463,X466) ),
inference(resolution,status(thm),[c416,transitivity_for_betweeness]) ).
cnf(c601,plain,
between(X476,X476,X477),
inference(resolution,status(thm),[c446,c162]) ).
cnf(c636,plain,
$false,
inference(resolution,status(thm),[c601,prove_a_between_a_and_b]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO002-4 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 09:27:52 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.55/0.72 # Version: 1.3
% 0.55/0.72 # SZS status Unsatisfiable
% 0.55/0.72 # SZS output start CNFRefutation
% See solution above
% 0.55/0.72
% 0.55/0.72 # Initial clauses : 8
% 0.55/0.72 # Processed clauses : 79
% 0.55/0.72 # Factors computed : 0
% 0.55/0.72 # Resolvents computed: 652
% 0.55/0.72 # Tautologies deleted: 2
% 0.55/0.72 # Forward subsumed : 40
% 0.55/0.72 # Backward subsumed : 25
% 0.55/0.72 # -------- CPU Time ---------
% 0.55/0.72 # User time : 0.358 s
% 0.55/0.72 # System time : 0.013 s
% 0.55/0.72 # Total time : 0.371 s
%------------------------------------------------------------------------------