%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO002-4 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n010.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 : 300s
% DateTime : Thu May 9 17:20:42 EDT 2024
% Result : Unsatisfiable 0.58s 0.75s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of clauses : 24 ( 12 unt; 0 nHn; 12 RR)
% Number of literals : 40 ( 0 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-5 aty)
% Number of variables : 69 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_a_between_a_and_b,negated_conjecture,
~ between(a,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_between_a_and_b) ).
cnf(segment_construction1,axiom,
between(X5,X7,extension(X5,X7,X8,X6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction1) ).
cnf(transitivity_for_betweeness,axiom,
( ~ between(X16,X18,X17)
| ~ between(X18,X19,X17)
| between(X16,X18,X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_for_betweeness) ).
cnf(identity_for_equidistance,axiom,
( ~ equidistant(X2,X4,X3,X3)
| equalish(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_equidistance) ).
cnf(segment_construction2,axiom,
equidistant(X11,extension(X9,X11,X12,X10),X12,X10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction2) ).
cnf(c0,plain,
equalish(X13,extension(X14,X13,X15,X15)),
inference(resolution,[status(thm)],[segment_construction2,identity_for_equidistance]) ).
cnf(c1,plain,
( ~ between(X21,X21,X20)
| between(X21,X21,X21) ),
inference(factor,[status(thm)],[transitivity_for_betweeness]) ).
cnf(c3,plain,
between(X22,X22,X22),
inference(resolution,[status(thm)],[c1,segment_construction1]) ).
cnf(between_substitution3,axiom,
( ~ equalish(X25,X27)
| ~ between(X28,X26,X25)
| between(X28,X26,X27) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_substitution3) ).
cnf(c5,plain,
( ~ equalish(X29,X30)
| between(X29,X29,X30) ),
inference(resolution,[status(thm)],[between_substitution3,c3]) ).
cnf(c7,plain,
between(X38,X38,extension(X37,X38,X36,X36)),
inference(resolution,[status(thm)],[c5,c0]) ).
cnf(c13,plain,
( ~ between(X63,X62,extension(X61,X62,X60,X60))
| between(X63,X62,X62) ),
inference(resolution,[status(thm)],[c7,transitivity_for_betweeness]) ).
cnf(c23,plain,
between(X66,X65,X65),
inference(resolution,[status(thm)],[c13,segment_construction1]) ).
cnf(outer_pasch2,axiom,
( ~ between(X55,X57,X54)
| ~ between(X58,X54,X56)
| between(X56,X57,outer_pasch(X57,X55,X58,X56,X54)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outer_pasch2) ).
cnf(c25,plain,
( ~ between(X243,X240,X242)
| between(X242,X240,outer_pasch(X240,X243,X241,X242,X242)) ),
inference(resolution,[status(thm)],[c23,outer_pasch2]) ).
cnf(c184,plain,
between(X244,X244,outer_pasch(X244,X246,X245,X244,X244)),
inference(resolution,[status(thm)],[c25,c23]) ).
cnf(outer_pasch1,axiom,
( ~ between(X32,X34,X31)
| ~ between(X35,X31,X33)
| between(X32,outer_pasch(X34,X32,X35,X33,X31),X35) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outer_pasch1) ).
cnf(c8,plain,
( ~ between(X71,X70,X70)
| between(X71,outer_pasch(X70,X71,X71,X70,X70),X71) ),
inference(factor,[status(thm)],[outer_pasch1]) ).
cnf(c29,plain,
between(X82,outer_pasch(X81,X82,X82,X81,X81),X82),
inference(resolution,[status(thm)],[c8,c23]) ).
cnf(c38,plain,
( ~ between(X270,X268,X268)
| between(X270,X268,outer_pasch(X269,X268,X268,X269,X269)) ),
inference(resolution,[status(thm)],[c29,transitivity_for_betweeness]) ).
cnf(c242,plain,
between(X273,X271,outer_pasch(X272,X271,X271,X272,X272)),
inference(resolution,[status(thm)],[c38,c23]) ).
cnf(c254,plain,
( ~ between(X447,X446,outer_pasch(X444,X445,X445,X444,X444))
| between(X447,X446,X445) ),
inference(resolution,[status(thm)],[c242,transitivity_for_betweeness]) ).
cnf(c555,plain,
between(X454,X454,X455),
inference(resolution,[status(thm)],[c254,c184]) ).
cnf(c594,plain,
$false,
inference(resolution,[status(thm)],[c555,prove_a_between_a_and_b]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO002-4 : TPTP v8.1.2. Released v1.1.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 9 08:16:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.58/0.75 % Version: 1.5
% 0.58/0.75 % SZS status Unsatisfiable
% 0.58/0.75 % SZS output start CNFRefutation
% See solution above
% 0.58/0.75
% 0.58/0.75 % Initial clauses : 8
% 0.58/0.75 % Processed clauses : 81
% 0.58/0.75 % Factors computed : 3
% 0.58/0.75 % Resolvents computed: 593
% 0.58/0.75 % Tautologies deleted: 2
% 0.58/0.75 % Forward subsumed : 44
% 0.58/0.75 % Backward subsumed : 31
% 0.58/0.75 % -------- CPU Time ---------
% 0.58/0.75 % User time : 0.381 s
% 0.58/0.75 % System time : 0.015 s
% 0.58/0.75 % Total time : 0.396 s
%------------------------------------------------------------------------------