%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : GEO010-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n006.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 63.12s 8.30s
% Output : Proof 63.37s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
( ~ colinear(a,c,b)
| ~ colinear(b,a,c)
| ~ colinear(b,c,a)
| ~ colinear(c,a,b)
| ~ colinear(c,b,a) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_colinear_in_all_orders)]) ).
cnf(g1,plain,
( ~ between(b,a,c)
| colinear(b,a,c) ),
inference(ground_cnf,[],[file('Axioms/GEO001-1.ax',colinearity2)]) ).
cnf(g2,plain,
( ~ between(a,b,c)
| colinear(b,a,c) ),
inference(ground_cnf,[],[file('Axioms/GEO001-1.ax',colinearity3)]) ).
cnf(g3,plain,
( ~ between(b,c,a)
| colinear(b,a,c) ),
inference(ground_cnf,[],[file('Axioms/GEO001-1.ax',colinearity4)]) ).
cnf(g4,plain,
( ~ between(c,b,a)
| colinear(c,b,a) ),
inference(ground_cnf,[],[file('Axioms/GEO001-1.ax',colinearity2)]) ).
cnf(g5,plain,
( ~ colinear(c,b,a)
| between(c,b,a)
| between(c,a,b)
| between(b,c,a) ),
inference(ground_cnf,[],[file('Axioms/GEO001-1.ax',colinearity1)]) ).
cnf(g6,plain,
sPE(a,a),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g7,plain,
sPE(b,b),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g8,plain,
( ~ between(b,c,a)
| colinear(c,b,a) ),
inference(ground_cnf,[],[file('Axioms/GEO001-1.ax',colinearity3)]) ).
cnf(g9,plain,
( ~ between(c,a,b)
| colinear(c,b,a) ),
inference(ground_cnf,[],[file('Axioms/GEO001-1.ax',colinearity4)]) ).
cnf(g10,plain,
( ~ colinear(a,c,b)
| between(a,c,b)
| between(a,b,c)
| between(c,a,b) ),
inference(ground_cnf,[],[file('Axioms/GEO001-1.ax',colinearity1)]) ).
cnf(g11,plain,
( ~ colinear(a,b,c)
| between(a,b,c)
| between(a,c,b)
| between(b,a,c) ),
inference(ground_cnf,[],[file('Axioms/GEO001-1.ax',colinearity1)]) ).
cnf(g12,plain,
( ~ sPE(a,a)
| ~ sPE(b,c)
| ~ sPE(c,b)
| ~ colinear(a,b,c)
| colinear(a,c,b) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g13,plain,
colinear(a,b,c),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',abc_colinear)]) ).
cnf(g14,plain,
( ~ between(c,b,c)
| sPE(c,b) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',identity_for_betweeness)]) ).
cnf(g15,plain,
( ~ sPE(b,c)
| sPE(c,b) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g16,plain,
( ~ between(c,a,b)
| colinear(a,c,b) ),
inference(ground_cnf,[],[file('Axioms/GEO001-1.ax',colinearity3)]) ).
cnf(g17,plain,
( ~ between(a,c,b)
| colinear(a,c,b) ),
inference(ground_cnf,[],[file('Axioms/GEO001-1.ax',colinearity2)]) ).
cnf(g18,plain,
( ~ between(c,a,b)
| colinear(c,a,b) ),
inference(ground_cnf,[],[file('Axioms/GEO001-1.ax',colinearity2)]) ).
cnf(g19,plain,
( ~ between(c,b,a)
| colinear(c,a,b) ),
inference(ground_cnf,[],[file('Axioms/GEO001-1.ax',colinearity4)]) ).
cnf(g20,plain,
( ~ between(a,c,b)
| colinear(c,a,b) ),
inference(ground_cnf,[],[file('Axioms/GEO001-1.ax',colinearity3)]) ).
cnf(g21,plain,
( ~ between(b,c,a)
| colinear(b,c,a) ),
inference(ground_cnf,[],[file('Axioms/GEO001-1.ax',colinearity2)]) ).
cnf(g22,plain,
( ~ sPE(c,b)
| sPE(b,c) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g23,plain,
sPE(c,c),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g24,plain,
between(c,b,extension(c,b,b,b)),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',segment_construction1)]) ).
cnf(g25,plain,
( ~ sPE(b,extension(c,b,b,b))
| sPE(extension(c,b,b,b),b) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g26,plain,
( ~ between(c,b,b)
| ~ between(a,b,b)
| between(c,outer_pasch(b,c,a,b,b),a) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',outer_pasch1)]) ).
cnf(g27,plain,
( ~ between(c,b,a)
| colinear(b,c,a) ),
inference(ground_cnf,[],[file('Axioms/GEO001-1.ax',colinearity3)]) ).
cnf(g28,plain,
( ~ colinear(a,b,b)
| between(a,b,b)
| between(a,b,b)
| between(b,a,b) ),
inference(ground_cnf,[],[file('Axioms/GEO001-1.ax',colinearity1)]) ).
cnf(g29,plain,
between(b,a,extension(b,a,b,b)),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',segment_construction1)]) ).
cnf(g30,plain,
( ~ sPE(b,b)
| ~ sPE(extension(b,a,b,b),a)
| ~ sPE(a,c)
| ~ colinear(b,extension(b,a,b,b),a)
| colinear(b,a,c) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g31,plain,
( ~ between(b,a,extension(b,a,b,b))
| colinear(b,extension(b,a,b,b),a) ),
inference(ground_cnf,[],[file('Axioms/GEO001-1.ax',colinearity4)]) ).
cnf(g32,plain,
( ~ between(a,b,b)
| ~ between(a,b,b)
| between(a,outer_pasch(b,a,a,b,b),a) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',outer_pasch1)]) ).
cnf(g33,plain,
between(a,b,extension(a,b,b,b)),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',segment_construction1)]) ).
cnf(g34,plain,
( ~ sPE(a,b)
| ~ sPE(b,a)
| ~ sPE(c,c)
| ~ colinear(a,b,c)
| colinear(b,a,c) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g35,plain,
( ~ sPE(b,a)
| sPE(a,b) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g36,plain,
( ~ between(b,a,b)
| sPE(b,a) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',identity_for_betweeness)]) ).
cnf(g37,plain,
( ~ between(b,a,extension(b,a,b,b))
| ~ between(b,a,extension(b,a,b,b))
| sPE(b,a)
| between(b,b,euclid2(extension(b,a,b,b),b,b,extension(b,a,b,b),a)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',euclid2)]) ).
cnf(g38,plain,
between(a,a,extension(a,a,b,b)),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',segment_construction1)]) ).
cnf(g39,plain,
( ~ between(b,b,euclid2(extension(b,a,b,b),b,b,extension(b,a,b,b),a))
| ~ between(b,b,euclid2(extension(b,a,b,b),b,b,extension(b,a,b,b),a))
| between(b,b,b) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',transitivity_for_betweeness)]) ).
cnf(g40,plain,
equidistant(a,extension(b,a,b,b),b,b),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',segment_construction2)]) ).
cnf(g41,plain,
( ~ between(b,c,a)
| ~ between(b,c,a)
| sPE(b,c)
| between(b,a,a)
| between(b,a,a) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',connectivity_for_betweeness)]) ).
cnf(g42,plain,
equidistant(a,extension(b,a,a,a),a,a),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',segment_construction2)]) ).
cnf(g43,plain,
( ~ sPE(b,c)
| ~ sPE(b,b)
| ~ sPE(b,c)
| ~ between(b,b,b)
| between(c,b,c) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g44,plain,
( ~ between(c,b,extension(c,b,b,b))
| colinear(b,c,extension(c,b,b,b)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-1.ax',colinearity3)]) ).
cnf(g45,plain,
( ~ sPE(c,c)
| ~ sPE(extension(c,b,b,b),b)
| ~ sPE(b,a)
| ~ colinear(c,extension(c,b,b,b),b)
| colinear(c,b,a) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g46,plain,
( ~ between(c,b,extension(c,b,b,b))
| colinear(c,extension(c,b,b,b),b) ),
inference(ground_cnf,[],[file('Axioms/GEO001-1.ax',colinearity4)]) ).
cnf(g47,plain,
( ~ sPE(b,a)
| ~ sPE(c,c)
| ~ sPE(extension(c,b,b,b),b)
| ~ colinear(b,c,extension(c,b,b,b))
| colinear(a,c,b) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g48,plain,
( ~ between(a,c,c)
| ~ between(c,b,c)
| between(a,c,b) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',transitivity_for_betweeness)]) ).
cnf(g49,plain,
( ~ colinear(a,c,c)
| between(a,c,c)
| between(a,c,c)
| between(c,a,c) ),
inference(ground_cnf,[],[file('Axioms/GEO001-1.ax',colinearity1)]) ).
cnf(g50,plain,
( ~ between(a,c,a)
| sPE(a,c) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',identity_for_betweeness)]) ).
cnf(g51,plain,
( ~ between(c,b,a)
| ~ between(c,b,a)
| sPE(c,b)
| between(c,a,a)
| between(c,a,a) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',connectivity_for_betweeness)]) ).
cnf(g52,plain,
( ~ sPE(a,a)
| ~ sPE(c,b)
| ~ sPE(c,c)
| ~ between(a,c,c)
| between(a,b,c) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g53,plain,
( ~ between(c,b,extension(c,b,b,b))
| colinear(c,b,extension(c,b,b,b)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-1.ax',colinearity2)]) ).
cnf(g54,plain,
( ~ sPE(b,extension(a,b,b,b))
| sPE(extension(a,b,b,b),b) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g55,plain,
( ~ sPE(c,c)
| ~ sPE(b,a)
| ~ sPE(extension(c,b,b,b),b)
| ~ colinear(c,b,extension(c,b,b,b))
| colinear(c,a,b) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g56,plain,
( ~ sPE(a,a)
| ~ sPE(b,b)
| ~ sPE(c,b)
| ~ colinear(a,b,c)
| colinear(a,b,b) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g57,plain,
( ~ sPE(a,a)
| ~ sPE(b,c)
| ~ sPE(c,c)
| ~ colinear(a,b,c)
| colinear(a,c,c) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g58,plain,
( ~ sPE(a,b)
| ~ sPE(a,b)
| ~ sPE(a,b)
| ~ between(a,a,a)
| between(b,b,b) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g59,plain,
equidistant(b,extension(c,b,b,b),b,b),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',segment_construction2)]) ).
cnf(g60,plain,
( ~ between(c,a,c)
| sPE(c,a) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',identity_for_betweeness)]) ).
cnf(g61,plain,
( ~ between(a,b,b)
| ~ between(a,b,c)
| between(a,outer_pasch(b,a,a,c,b),a) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',outer_pasch1)]) ).
cnf(g62,plain,
( ~ between(a,outer_pasch(b,a,a,c,b),a)
| sPE(a,outer_pasch(b,a,a,c,b)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',identity_for_betweeness)]) ).
cnf(g63,plain,
( ~ sPE(c,outer_pasch(b,c,c,b,b))
| sPE(outer_pasch(b,c,c,b,b),c) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g64,plain,
( ~ between(c,b,b)
| ~ between(c,b,b)
| between(c,outer_pasch(b,c,c,b,b),c) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',outer_pasch1)]) ).
cnf(g65,plain,
( ~ between(b,b,outer_pasch(b,c,c,b,b))
| colinear(b,outer_pasch(b,c,c,b,b),b) ),
inference(ground_cnf,[],[file('Axioms/GEO001-1.ax',colinearity4)]) ).
cnf(g66,plain,
( ~ between(c,b,b)
| ~ between(c,b,b)
| between(b,b,outer_pasch(b,c,c,b,b)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',outer_pasch2)]) ).
cnf(g67,plain,
( ~ sPE(c,c)
| ~ sPE(b,b)
| ~ sPE(extension(c,b,b,b),b)
| ~ between(c,b,extension(c,b,b,b))
| between(c,b,b) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g68,plain,
( ~ sPE(b,b)
| ~ sPE(outer_pasch(b,c,c,b,b),c)
| ~ sPE(b,a)
| ~ colinear(b,outer_pasch(b,c,c,b,b),b)
| colinear(b,c,a) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g69,plain,
( ~ between(c,outer_pasch(b,c,c,b,b),c)
| sPE(c,outer_pasch(b,c,c,b,b)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',identity_for_betweeness)]) ).
cnf(g70,plain,
( ~ between(b,a,outer_pasch(a,c,c,b,b))
| colinear(b,outer_pasch(a,c,c,b,b),a) ),
inference(ground_cnf,[],[file('Axioms/GEO001-1.ax',colinearity4)]) ).
cnf(g71,plain,
( ~ between(c,a,b)
| ~ between(c,b,b)
| between(b,a,outer_pasch(a,c,c,b,b)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',outer_pasch2)]) ).
cnf(g72,plain,
( ~ sPE(b,b)
| ~ sPE(outer_pasch(a,c,c,b,b),c)
| ~ sPE(a,a)
| ~ colinear(b,outer_pasch(a,c,c,b,b),a)
| colinear(b,c,a) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g73,plain,
( ~ sPE(c,outer_pasch(a,c,c,b,b))
| sPE(outer_pasch(a,c,c,b,b),c) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g74,plain,
( ~ between(c,outer_pasch(a,c,c,b,b),c)
| sPE(c,outer_pasch(a,c,c,b,b)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',identity_for_betweeness)]) ).
cnf(g75,plain,
( ~ between(c,a,b)
| ~ between(c,b,b)
| between(c,outer_pasch(a,c,c,b,b),c) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',outer_pasch1)]) ).
cnf(g76,plain,
( ~ between(c,b,b)
| ~ between(c,b,a)
| between(c,outer_pasch(b,c,c,a,b),c) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',outer_pasch1)]) ).
cnf(g77,plain,
( ~ between(c,outer_pasch(b,c,c,a,b),c)
| sPE(c,outer_pasch(b,c,c,a,b)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',identity_for_betweeness)]) ).
cnf(g78,plain,
( ~ sPE(a,outer_pasch(b,a,a,b,b))
| sPE(outer_pasch(b,a,a,b,b),a) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g79,plain,
( ~ between(a,outer_pasch(b,a,a,b,b),a)
| sPE(a,outer_pasch(b,a,a,b,b)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',identity_for_betweeness)]) ).
cnf(g80,plain,
( ~ between(a,b,b)
| ~ between(a,b,b)
| between(b,b,outer_pasch(b,a,a,b,b)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',outer_pasch2)]) ).
cnf(g81,plain,
( ~ between(a,c,b)
| ~ between(a,b,b)
| between(a,outer_pasch(c,a,a,b,b),a) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',outer_pasch1)]) ).
cnf(g82,plain,
( ~ between(a,c,b)
| ~ between(a,b,b)
| between(b,c,outer_pasch(c,a,a,b,b)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',outer_pasch2)]) ).
cnf(g83,plain,
( ~ sPE(b,c)
| ~ sPE(b,b)
| ~ sPE(outer_pasch(b,a,a,b,b),a)
| ~ colinear(b,b,outer_pasch(b,a,a,b,b))
| colinear(c,b,a) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g84,plain,
( ~ sPE(a,extension(b,a,b,b))
| sPE(extension(b,a,b,b),a) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g85,plain,
( ~ equidistant(a,extension(b,a,b,b),b,b)
| sPE(a,extension(b,a,b,b)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',identity_for_equidistance)]) ).
cnf(g86,plain,
( ~ between(c,b,a)
| ~ between(b,c,a)
| between(c,b,c) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',transitivity_for_betweeness)]) ).
cnf(g87,plain,
( ~ sPE(b,b)
| ~ sPE(b,c)
| ~ sPE(outer_pasch(b,a,a,b,b),a)
| ~ colinear(b,b,outer_pasch(b,a,a,b,b))
| colinear(b,c,a) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g88,plain,
( ~ between(b,b,outer_pasch(b,a,a,b,b))
| colinear(b,b,outer_pasch(b,a,a,b,b)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-1.ax',colinearity3)]) ).
cnf(g89,plain,
( ~ between(c,a,outer_pasch(a,b,b,c,a))
| ~ between(a,b,outer_pasch(a,b,b,c,a))
| between(c,a,b) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',transitivity_for_betweeness)]) ).
cnf(g90,plain,
( ~ between(b,a,a)
| ~ between(b,a,c)
| between(c,a,outer_pasch(a,b,b,c,a)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',outer_pasch2)]) ).
cnf(g91,plain,
( ~ between(a,b,b)
| ~ between(b,outer_pasch(a,b,b,c,a),b)
| between(a,b,outer_pasch(a,b,b,c,a)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',transitivity_for_betweeness)]) ).
cnf(g92,plain,
( ~ between(b,a,a)
| ~ between(b,a,c)
| between(b,outer_pasch(a,b,b,c,a),b) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',outer_pasch1)]) ).
cnf(g93,plain,
( ~ between(a,a,extension(a,a,b,b))
| ~ between(a,a,extension(a,a,b,b))
| between(a,a,a) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',transitivity_for_betweeness)]) ).
cnf(g94,plain,
equidistant(b,extension(a,b,b,b),b,b),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',segment_construction2)]) ).
cnf(g95,plain,
( ~ between(a,c,b)
| ~ between(c,a,b)
| between(a,c,a) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',transitivity_for_betweeness)]) ).
cnf(g96,plain,
( ~ sPE(b,c)
| ~ sPE(c,a)
| sPE(b,a) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g97,plain,
( ~ equidistant(b,extension(c,b,b,b),b,b)
| sPE(b,extension(c,b,b,b)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',identity_for_equidistance)]) ).
cnf(g98,plain,
( ~ sPE(a,a)
| ~ sPE(b,b)
| ~ sPE(extension(a,b,b,b),b)
| ~ between(a,b,extension(a,b,b,b))
| between(a,b,b) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g99,plain,
between(b,a,extension(b,a,a,a)),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',segment_construction1)]) ).
cnf(g100,plain,
( ~ sPE(b,b)
| ~ sPE(extension(b,a,a,a),a)
| ~ sPE(extension(b,a,a,a),a)
| ~ between(b,extension(b,a,a,a),extension(b,a,a,a))
| between(b,a,a) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g101,plain,
( ~ equidistant(b,extension(a,b,b,b),b,b)
| sPE(b,extension(a,b,b,b)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',identity_for_equidistance)]) ).
cnf(g102,plain,
( ~ sPE(c,c)
| ~ sPE(b,b)
| ~ sPE(outer_pasch(b,a,a,c,b),a)
| ~ colinear(c,b,outer_pasch(b,a,a,c,b))
| colinear(c,b,a) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g103,plain,
( ~ sPE(a,outer_pasch(b,a,a,c,b))
| sPE(outer_pasch(b,a,a,c,b),a) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g104,plain,
( ~ between(c,b,outer_pasch(b,a,a,c,b))
| colinear(c,b,outer_pasch(b,a,a,c,b)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-1.ax',colinearity2)]) ).
cnf(g105,plain,
( ~ between(a,b,b)
| ~ between(a,b,c)
| between(c,b,outer_pasch(b,a,a,c,b)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',outer_pasch2)]) ).
cnf(g106,plain,
( ~ sPE(a,extension(b,a,a,a))
| sPE(extension(b,a,a,a),a) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g107,plain,
( ~ equidistant(a,extension(b,a,a,a),a,a)
| sPE(a,extension(b,a,a,a)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',identity_for_equidistance)]) ).
cnf(g108,plain,
( ~ between(c,outer_pasch(b,c,a,b,b),a)
| ~ between(c,outer_pasch(b,c,a,b,b),a)
| sPE(c,outer_pasch(b,c,a,b,b))
| between(c,a,a)
| between(c,a,a) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',connectivity_for_betweeness)]) ).
cnf(g109,plain,
( ~ between(b,c,outer_pasch(c,a,a,b,b))
| ~ between(c,a,outer_pasch(c,a,a,b,b))
| between(b,c,a) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',transitivity_for_betweeness)]) ).
cnf(g110,plain,
( ~ between(c,a,a)
| ~ between(a,outer_pasch(c,a,a,b,b),a)
| between(c,a,outer_pasch(c,a,a,b,b)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',transitivity_for_betweeness)]) ).
cnf(g111,plain,
( ~ sPE(c,outer_pasch(b,c,a,b,b))
| sPE(outer_pasch(b,c,a,b,b),c) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g112,plain,
( ~ between(c,b,outer_pasch(b,a,a,c,b))
| ~ between(b,a,outer_pasch(b,a,a,c,b))
| between(c,b,a) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',transitivity_for_betweeness)]) ).
cnf(g113,plain,
( ~ between(b,a,a)
| ~ between(a,outer_pasch(b,a,a,c,b),a)
| between(b,a,outer_pasch(b,a,a,c,b)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',transitivity_for_betweeness)]) ).
cnf(g114,plain,
( ~ sPE(a,a)
| ~ sPE(outer_pasch(b,c,c,a,b),c)
| ~ sPE(b,b)
| ~ colinear(a,outer_pasch(b,c,c,a,b),b)
| colinear(a,c,b) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g115,plain,
( ~ sPE(c,outer_pasch(b,c,c,a,b))
| sPE(outer_pasch(b,c,c,a,b),c) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g116,plain,
( ~ between(a,b,outer_pasch(b,c,c,a,b))
| colinear(a,outer_pasch(b,c,c,a,b),b) ),
inference(ground_cnf,[],[file('Axioms/GEO001-1.ax',colinearity4)]) ).
cnf(g117,plain,
( ~ between(c,b,b)
| ~ between(c,b,a)
| between(a,b,outer_pasch(b,c,c,a,b)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',outer_pasch2)]) ).
cnf(g118,plain,
( ~ sPE(outer_pasch(b,c,a,b,b),c)
| ~ sPE(b,b)
| ~ sPE(outer_pasch(outer_pasch(b,c,a,b,b),a,a,b,b),a)
| ~ colinear(outer_pasch(b,c,a,b,b),b,outer_pasch(outer_pasch(b,c,a,b,b),a,a,b,b))
| colinear(c,b,a) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g119,plain,
( ~ sPE(a,outer_pasch(outer_pasch(b,c,a,b,b),a,a,b,b))
| sPE(outer_pasch(outer_pasch(b,c,a,b,b),a,a,b,b),a) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g120,plain,
( ~ between(a,outer_pasch(outer_pasch(b,c,a,b,b),a,a,b,b),a)
| sPE(a,outer_pasch(outer_pasch(b,c,a,b,b),a,a,b,b)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',identity_for_betweeness)]) ).
cnf(g121,plain,
( ~ between(a,outer_pasch(b,c,a,b,b),b)
| ~ between(a,b,b)
| between(a,outer_pasch(outer_pasch(b,c,a,b,b),a,a,b,b),a) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',outer_pasch1)]) ).
cnf(g122,plain,
( ~ between(b,outer_pasch(b,c,a,b,b),outer_pasch(outer_pasch(b,c,a,b,b),a,a,b,b))
| colinear(outer_pasch(b,c,a,b,b),b,outer_pasch(outer_pasch(b,c,a,b,b),a,a,b,b)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-1.ax',colinearity3)]) ).
cnf(g123,plain,
( ~ between(a,outer_pasch(b,c,a,b,b),b)
| ~ between(a,b,b)
| between(b,outer_pasch(b,c,a,b,b),outer_pasch(outer_pasch(b,c,a,b,b),a,a,b,b)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',outer_pasch2)]) ).
cnf(g124,plain,
( ~ between(b,a,extension(b,a,a,a))
| ~ between(b,a,extension(b,a,a,a))
| sPE(b,a)
| between(b,extension(b,a,a,a),extension(b,a,a,a))
| between(b,extension(b,a,a,a),extension(b,a,a,a)) ),
inference(ground_cnf,[],[file('Axioms/GEO001-0.ax',connectivity_for_betweeness)]) ).
cnf(g125,plain,
( ~ sPE(a,a)
| ~ sPE(c,outer_pasch(b,c,a,b,b))
| ~ sPE(b,b)
| ~ between(a,c,b)
| between(a,outer_pasch(b,c,a,b,b),b) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO010-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 0.07/0.12 % Command : satcop --statistics %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 06:15:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 63.12/8.30 % symbols: 16
% 63.12/8.30 % clauses: 37
% 63.12/8.30 % start clauses: 1
% 63.12/8.30 % iterative deepening steps: 1643
% 63.12/8.30 % maximum path limit: 4
% 63.12/8.30 % literal attempts: 4516499
% 63.12/8.30 % depth failures: 3635527
% 63.12/8.30 % regularity failures: 34423
% 63.12/8.30 % tautology failures: 196830
% 63.12/8.30 % reductions: 481662
% 63.12/8.30 % extensions: 4034488
% 63.12/8.30 % SAT variables: 433216
% 63.12/8.30 % SAT clauses: 493577
% 63.12/8.30 % WalkSAT solutions: 493420
% 63.12/8.30 % CDCL solutions: 155
% 63.12/8.30 % SZS status Unsatisfiable for theBenchmark
% 63.12/8.30 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------