TSTP Solution File: GEO011-1 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : GEO011-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n022.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 06:08:44 EDT 2022
% Result : Unsatisfiable 101.27s 13.18s
% Output : Proof 101.93s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lower_dimension_points_not_colinear)]) ).
cnf(g1,plain,
( ~ colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)
| between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)
| between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3) ),
inference(ground_cnf,[],[file('Axioms/GEO001-1.ax',colinearity1)]) ).
cnf(g2,plain,
( ~ sPE(lower_dimension_point_1,lower_dimension_point_3)
| ~ sPE(lower_dimension_point_2,lower_dimension_point_2)
| ~ sPE(lower_dimension_point_3,lower_dimension_point_3)
| ~ colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)
| colinear(lower_dimension_point_3,lower_dimension_point_2,lower_dimension_point_3) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g3,plain,
sPE(lower_dimension_point_2,lower_dimension_point_2),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g4,plain,
sPE(lower_dimension_point_3,lower_dimension_point_3),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g5,plain,
( ~ equidistant(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3)
| sPE(lower_dimension_point_1,lower_dimension_point_3) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',identity_for_equidistance)]) ).
cnf(g6,plain,
( ~ sPE(lower_dimension_point_3,lower_dimension_point_1)
| sPE(lower_dimension_point_1,lower_dimension_point_3) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g7,plain,
sPE(lower_dimension_point_1,lower_dimension_point_1),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g8,plain,
( ~ equidistant(lower_dimension_point_1,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3),lower_dimension_point_3,lower_dimension_point_3)
| sPE(lower_dimension_point_1,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',identity_for_equidistance)]) ).
cnf(g9,plain,
equidistant(lower_dimension_point_1,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3),lower_dimension_point_3,lower_dimension_point_3),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',segment_construction2)]) ).
cnf(g10,plain,
between(lower_dimension_point_2,lower_dimension_point_3,extension(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3)),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',segment_construction1)]) ).
cnf(g11,plain,
( ~ sPE(lower_dimension_point_3,lower_dimension_point_2)
| sPE(lower_dimension_point_2,lower_dimension_point_3) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g12,plain,
( ~ between(lower_dimension_point_3,lower_dimension_point_2,lower_dimension_point_3)
| sPE(lower_dimension_point_3,lower_dimension_point_2) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',identity_for_betweeness)]) ).
cnf(g13,plain,
( ~ sPE(lower_dimension_point_3,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3))
| sPE(extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3),lower_dimension_point_3) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g14,plain,
between(lower_dimension_point_1,lower_dimension_point_3,extension(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3)),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',segment_construction1)]) ).
cnf(g15,plain,
between(lower_dimension_point_1,lower_dimension_point_2,extension(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3)),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',segment_construction1)]) ).
cnf(g16,plain,
( ~ colinear(lower_dimension_point_3,lower_dimension_point_2,lower_dimension_point_3)
| between(lower_dimension_point_3,lower_dimension_point_2,lower_dimension_point_3)
| between(lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_2)
| between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3) ),
inference(ground_cnf,[],[file('Axioms/GEO001-1.ax',colinearity1)]) ).
cnf(g17,plain,
( ~ between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3)
| ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3)
| between(lower_dimension_point_2,outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3),lower_dimension_point_2) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',outer_pasch1)]) ).
cnf(g18,plain,
( ~ sPE(lower_dimension_point_1,lower_dimension_point_3)
| sPE(lower_dimension_point_3,lower_dimension_point_1) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g19,plain,
( ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_3)
| sPE(lower_dimension_point_3,lower_dimension_point_1) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',identity_for_betweeness)]) ).
cnf(g20,plain,
( ~ sPE(lower_dimension_point_3,lower_dimension_point_3)
| ~ sPE(lower_dimension_point_3,lower_dimension_point_1)
| ~ sPE(lower_dimension_point_3,lower_dimension_point_3)
| ~ between(lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3)
| between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_3) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g21,plain,
( ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3)
| ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| between(lower_dimension_point_2,lower_dimension_point_3,outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',outer_pasch2)]) ).
cnf(g22,plain,
equidistant(lower_dimension_point_3,extension(lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_2),lower_dimension_point_3,lower_dimension_point_2),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',segment_construction2)]) ).
cnf(g23,plain,
between(lower_dimension_point_3,lower_dimension_point_3,extension(lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_2)),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',segment_construction1)]) ).
cnf(g24,plain,
( ~ between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3)
| ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3)
| between(lower_dimension_point_3,lower_dimension_point_1,outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',outer_pasch2)]) ).
cnf(g25,plain,
between(lower_dimension_point_3,lower_dimension_point_1,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3)),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',segment_construction1)]) ).
cnf(g26,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',lower_dimension2)]) ).
cnf(g27,plain,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',lower_dimension1)]) ).
cnf(g28,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',lower_dimension3)]) ).
cnf(g29,plain,
( ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3)
| ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| between(lower_dimension_point_1,outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),lower_dimension_point_1) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',outer_pasch1)]) ).
cnf(g30,plain,
( ~ between(lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_2)
| ~ between(lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_2)
| between(lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',transitivity_for_betweeness)]) ).
cnf(g31,plain,
( ~ between(lower_dimension_point_2,outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3),lower_dimension_point_2)
| sPE(lower_dimension_point_2,outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',identity_for_betweeness)]) ).
cnf(g32,plain,
( ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3)
| ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_3)
| between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',transitivity_for_betweeness)]) ).
cnf(g33,plain,
( ~ sPE(lower_dimension_point_1,lower_dimension_point_1)
| ~ sPE(lower_dimension_point_3,lower_dimension_point_2)
| ~ sPE(lower_dimension_point_2,lower_dimension_point_3)
| ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g34,plain,
( ~ sPE(lower_dimension_point_2,lower_dimension_point_3)
| ~ sPE(lower_dimension_point_1,lower_dimension_point_1)
| ~ sPE(lower_dimension_point_3,lower_dimension_point_3)
| ~ between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3)
| between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_3) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g35,plain,
( ~ between(lower_dimension_point_1,lower_dimension_point_3,extension(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3))
| ~ between(lower_dimension_point_3,lower_dimension_point_3,extension(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3))
| between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',transitivity_for_betweeness)]) ).
cnf(g36,plain,
( ~ equidistant(lower_dimension_point_3,extension(lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_2),lower_dimension_point_3,lower_dimension_point_2)
| ~ equidistant(lower_dimension_point_3,extension(lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_2),lower_dimension_point_3,lower_dimension_point_2)
| ~ equidistant(lower_dimension_point_3,extension(lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_2),lower_dimension_point_3,lower_dimension_point_2)
| sPE(extension(lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_2),lower_dimension_point_2)
| between(lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3)
| between(lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3)
| between(lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',upper_dimension)]) ).
cnf(g37,plain,
equidistant(lower_dimension_point_3,extension(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3),lower_dimension_point_3,lower_dimension_point_3),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',segment_construction2)]) ).
cnf(g38,plain,
( ~ sPE(lower_dimension_point_3,lower_dimension_point_3)
| ~ sPE(lower_dimension_point_1,lower_dimension_point_1)
| ~ sPE(lower_dimension_point_3,lower_dimension_point_2)
| ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_3)
| between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g39,plain,
( ~ sPE(lower_dimension_point_2,lower_dimension_point_2)
| ~ sPE(lower_dimension_point_3,lower_dimension_point_3)
| ~ sPE(extension(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3),lower_dimension_point_3)
| ~ between(lower_dimension_point_2,lower_dimension_point_3,extension(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3))
| between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g40,plain,
( ~ sPE(lower_dimension_point_3,lower_dimension_point_3)
| ~ sPE(lower_dimension_point_3,lower_dimension_point_3)
| ~ sPE(extension(lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_2),lower_dimension_point_2)
| ~ between(lower_dimension_point_3,lower_dimension_point_3,extension(lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_2))
| between(lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_2) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g41,plain,
( ~ sPE(lower_dimension_point_3,lower_dimension_point_3)
| ~ sPE(lower_dimension_point_3,lower_dimension_point_1)
| ~ sPE(lower_dimension_point_2,lower_dimension_point_2)
| ~ between(lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_2)
| between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g42,plain,
( ~ sPE(lower_dimension_point_3,lower_dimension_point_3)
| ~ sPE(lower_dimension_point_3,extension(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3))
| ~ sPE(lower_dimension_point_3,lower_dimension_point_3)
| ~ between(lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3)
| between(lower_dimension_point_3,extension(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3),lower_dimension_point_3) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g43,plain,
( ~ equidistant(lower_dimension_point_3,extension(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3),lower_dimension_point_3,lower_dimension_point_3)
| sPE(lower_dimension_point_3,extension(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',identity_for_equidistance)]) ).
cnf(g44,plain,
( ~ sPE(lower_dimension_point_1,lower_dimension_point_1)
| ~ sPE(extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3),lower_dimension_point_3)
| ~ sPE(lower_dimension_point_3,lower_dimension_point_3)
| ~ sPE(lower_dimension_point_3,lower_dimension_point_3)
| ~ equidistant(lower_dimension_point_1,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3),lower_dimension_point_3,lower_dimension_point_3)
| equidistant(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g45,plain,
( ~ between(lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3)
| ~ between(lower_dimension_point_3,extension(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3),lower_dimension_point_3)
| between(lower_dimension_point_3,lower_dimension_point_3,extension(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',transitivity_for_betweeness)]) ).
cnf(g46,plain,
( ~ equidistant(lower_dimension_point_2,extension(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3),lower_dimension_point_3,lower_dimension_point_3)
| sPE(lower_dimension_point_2,extension(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',identity_for_equidistance)]) ).
cnf(g47,plain,
equidistant(lower_dimension_point_2,extension(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3),lower_dimension_point_3,lower_dimension_point_3),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',segment_construction2)]) ).
cnf(g48,plain,
( ~ sPE(lower_dimension_point_1,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3))
| sPE(extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3),lower_dimension_point_1) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g49,plain,
( ~ sPE(lower_dimension_point_3,extension(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3))
| sPE(extension(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3),lower_dimension_point_3) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g50,plain,
equidistant(lower_dimension_point_3,extension(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3),lower_dimension_point_3,lower_dimension_point_3),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',segment_construction2)]) ).
cnf(g51,plain,
( ~ sPE(lower_dimension_point_3,lower_dimension_point_3)
| ~ sPE(lower_dimension_point_1,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3))
| ~ sPE(extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3),lower_dimension_point_1)
| ~ between(lower_dimension_point_3,lower_dimension_point_1,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3))
| between(lower_dimension_point_3,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3),lower_dimension_point_1) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g52,plain,
( ~ equidistant(lower_dimension_point_3,extension(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3),lower_dimension_point_3,lower_dimension_point_3)
| sPE(lower_dimension_point_3,extension(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',identity_for_equidistance)]) ).
cnf(g53,plain,
( ~ between(lower_dimension_point_3,lower_dimension_point_1,outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3))
| ~ between(lower_dimension_point_1,lower_dimension_point_2,outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3))
| between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',transitivity_for_betweeness)]) ).
cnf(g54,plain,
( ~ between(lower_dimension_point_3,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3),lower_dimension_point_1)
| ~ between(lower_dimension_point_3,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3),lower_dimension_point_1)
| sPE(lower_dimension_point_3,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3))
| between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1)
| between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',connectivity_for_betweeness)]) ).
cnf(g55,plain,
( ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1)
| ~ between(lower_dimension_point_1,outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),lower_dimension_point_1)
| between(lower_dimension_point_3,lower_dimension_point_1,outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',transitivity_for_betweeness)]) ).
cnf(g56,plain,
( ~ sPE(lower_dimension_point_1,lower_dimension_point_1)
| ~ sPE(lower_dimension_point_2,lower_dimension_point_2)
| ~ sPE(lower_dimension_point_2,outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3))
| ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2)
| between(lower_dimension_point_1,lower_dimension_point_2,outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g57,plain,
( ~ sPE(lower_dimension_point_1,lower_dimension_point_1)
| ~ sPE(lower_dimension_point_2,lower_dimension_point_2)
| ~ sPE(extension(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3),lower_dimension_point_2)
| ~ between(lower_dimension_point_1,lower_dimension_point_2,extension(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3))
| between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g58,plain,
( ~ sPE(lower_dimension_point_2,extension(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3))
| sPE(extension(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3),lower_dimension_point_2) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g59,plain,
( ~ between(lower_dimension_point_2,lower_dimension_point_3,outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3))
| ~ between(lower_dimension_point_3,lower_dimension_point_1,outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3))
| between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',transitivity_for_betweeness)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO011-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 0.06/0.13 % Command : satcop --statistics %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 01:40:02 EDT 2022
% 0.12/0.34 % CPUTime :
% 101.27/13.18 % symbols: 13
% 101.27/13.18 % clauses: 36
% 101.27/13.18 % start clauses: 1
% 101.27/13.18 % iterative deepening steps: 6121
% 101.27/13.18 % maximum path limit: 5
% 101.27/13.18 % literal attempts: 6230807
% 101.27/13.18 % depth failures: 4796015
% 101.27/13.18 % regularity failures: 57070
% 101.27/13.18 % tautology failures: 368078
% 101.27/13.18 % reductions: 752412
% 101.27/13.18 % extensions: 5478291
% 101.27/13.18 % SAT variables: 1635305
% 101.27/13.18 % SAT clauses: 1740985
% 101.27/13.18 % WalkSAT solutions: 1740955
% 101.27/13.18 % CDCL solutions: 30
% 101.27/13.18 % SZS status Unsatisfiable for theBenchmark
% 101.27/13.18 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------