TSTP Solution File: GEO012-3 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO012-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% 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 : 300s
% DateTime : Wed Aug 30 23:08:47 EDT 2023
% Result : Unsatisfiable 16.29s 3.42s
% Output : CNFRefutation 16.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 30
% Syntax : Number of clauses : 512 ( 19 unt; 464 nHn; 509 RR)
% Number of literals : 2120 ( 93 equ; 218 neg)
% Maximal clause size : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 230 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_73,plain,
between(X0,X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3) ).
cnf(c_75,plain,
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).
cnf(c_76,plain,
between(X0,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2) ).
cnf(c_77,plain,
( ~ between(X0,X1,X2)
| ~ between(X1,X0,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b2) ).
cnf(c_78,plain,
( ~ between(X0,X1,X2)
| ~ between(X0,X2,X1)
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b3) ).
cnf(c_82,plain,
( ~ between(X0,X1,X2)
| ~ between(X0,X2,X3)
| between(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b5) ).
cnf(c_83,plain,
( ~ between(X0,X1,X2)
| ~ between(X1,X2,X3)
| X1 = X2
| between(X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b6) ).
cnf(c_84,plain,
( ~ between(X0,X1,X2)
| ~ between(X1,X2,X3)
| X1 = X2
| between(X0,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b7) ).
cnf(c_85,plain,
( ~ between(X0,X1,X2)
| ~ between(X1,X3,X2)
| between(X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b8) ).
cnf(c_105,plain,
( ~ between(X0,X1,X2)
| ~ between(X0,X1,X3)
| X0 = X1
| between(X0,X2,X3)
| between(X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b12) ).
cnf(c_106,plain,
( ~ between(X0,X1,X2)
| ~ between(X0,X1,X3)
| X0 = X1
| between(X1,X2,X3)
| between(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b13) ).
cnf(c_107,plain,
( ~ between(X0,X1,X2)
| ~ between(X3,X1,X2)
| X1 = X2
| between(X0,X3,X1)
| between(X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7) ).
cnf(c_108,plain,
( ~ between(X0,X1,X2)
| ~ between(X0,X3,X2)
| between(X0,X1,X3)
| between(X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9) ).
cnf(c_109,plain,
( ~ between(X0,X1,X2)
| ~ between(X0,X3,X2)
| between(X1,X3,X2)
| between(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b14) ).
cnf(c_110,plain,
( ~ between(X0,X1,X2)
| ~ between(X0,X3,X2)
| ~ between(X1,X4,X3)
| between(X0,X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8) ).
cnf(c_112,plain,
( ~ between(X0,X1,X2)
| colinear(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2_1) ).
cnf(c_113,plain,
( ~ between(X0,X1,X2)
| colinear(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2_2) ).
cnf(c_114,plain,
( ~ between(X0,X1,X2)
| colinear(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2_3) ).
cnf(c_115,plain,
( ~ colinear(X0,X1,X2)
| colinear(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_1) ).
cnf(c_117,plain,
( ~ colinear(X0,X1,X2)
| colinear(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_3) ).
cnf(c_119,plain,
( ~ colinear(X0,X1,X2)
| colinear(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_5) ).
cnf(c_121,plain,
colinear(X0,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c3_1) ).
cnf(c_126,plain,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_b) ).
cnf(c_127,plain,
colinear(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abc_colinear) ).
cnf(c_128,plain,
colinear(a,b,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abd_colinear) ).
cnf(c_129,negated_conjecture,
( ~ colinear(a,c,d)
| ~ colinear(b,c,d) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_colinearity) ).
cnf(c_132,plain,
( ~ between(X0,X1,X2)
| colinear(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity1) ).
cnf(c_133,plain,
( ~ between(X0,X1,X2)
| colinear(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity2) ).
cnf(c_134,plain,
( ~ between(X0,X1,X2)
| colinear(X1,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity3) ).
cnf(c_135,plain,
( ~ colinear(X0,X1,X2)
| between(X0,X1,X2)
| between(X1,X2,X0)
| between(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity4) ).
cnf(c_3310,plain,
colinear(a,c,b),
inference(superposition,[status(thm)],[c_127,c_117]) ).
cnf(c_3534,plain,
colinear(b,a,c),
inference(superposition,[status(thm)],[c_127,c_119]) ).
cnf(c_3535,plain,
colinear(b,a,d),
inference(superposition,[status(thm)],[c_128,c_119]) ).
cnf(c_3651,plain,
( between(a,b,c)
| between(b,c,a)
| between(c,a,b) ),
inference(superposition,[status(thm)],[c_127,c_135]) ).
cnf(c_3652,plain,
( between(a,b,d)
| between(b,d,a)
| between(d,a,b) ),
inference(superposition,[status(thm)],[c_128,c_135]) ).
cnf(c_3701,plain,
( ~ between(X0,X1,X2)
| ~ between(X2,X3,X1)
| between(X0,X3,X2) ),
inference(superposition,[status(thm)],[c_73,c_110]) ).
cnf(c_3702,plain,
( ~ between(X0,X1,X2)
| ~ between(X0,X3,X1)
| between(X0,X3,X2) ),
inference(superposition,[status(thm)],[c_76,c_110]) ).
cnf(c_3749,plain,
( between(a,d,b)
| between(b,a,d)
| between(d,b,a) ),
inference(superposition,[status(thm)],[c_3535,c_135]) ).
cnf(c_3755,plain,
( between(a,c,b)
| between(b,a,c)
| between(c,b,a) ),
inference(superposition,[status(thm)],[c_3534,c_135]) ).
cnf(c_3821,plain,
( ~ between(X0,a,b)
| a = b
| between(X0,d,a)
| between(d,X0,a)
| between(a,b,d)
| between(b,d,a) ),
inference(superposition,[status(thm)],[c_3652,c_107]) ).
cnf(c_3824,plain,
( ~ between(a,b,X0)
| a = b
| between(d,a,X0)
| between(a,b,d)
| between(b,d,a) ),
inference(superposition,[status(thm)],[c_3652,c_84]) ).
cnf(c_3825,plain,
( ~ between(d,X0,b)
| between(d,X0,a)
| between(d,a,X0)
| between(a,b,d)
| between(b,d,a) ),
inference(superposition,[status(thm)],[c_3652,c_108]) ).
cnf(c_3830,plain,
( ~ between(a,X0,b)
| between(d,X0,b)
| between(a,b,d)
| between(b,d,a) ),
inference(superposition,[status(thm)],[c_3652,c_85]) ).
cnf(c_3831,plain,
( between(a,b,d)
| between(b,a,d)
| between(b,d,a) ),
inference(superposition,[status(thm)],[c_3652,c_75]) ).
cnf(c_3855,plain,
( ~ between(X0,a,b)
| a = b
| between(X0,c,a)
| between(c,X0,a)
| between(a,b,c)
| between(b,c,a) ),
inference(superposition,[status(thm)],[c_3651,c_107]) ).
cnf(c_3858,plain,
( ~ between(a,b,X0)
| a = b
| between(c,a,X0)
| between(a,b,c)
| between(b,c,a) ),
inference(superposition,[status(thm)],[c_3651,c_84]) ).
cnf(c_3859,plain,
( ~ between(c,X0,b)
| between(c,X0,a)
| between(c,a,X0)
| between(a,b,c)
| between(b,c,a) ),
inference(superposition,[status(thm)],[c_3651,c_108]) ).
cnf(c_3865,plain,
( between(a,b,c)
| between(b,a,c)
| between(b,c,a) ),
inference(superposition,[status(thm)],[c_3651,c_75]) ).
cnf(c_3916,plain,
colinear(b,a,c),
inference(superposition,[status(thm)],[c_127,c_119]) ).
cnf(c_3917,plain,
colinear(b,a,d),
inference(superposition,[status(thm)],[c_128,c_119]) ).
cnf(c_3940,plain,
( ~ between(c,X0,a)
| between(c,X0,b)
| between(a,b,c)
| between(b,c,a) ),
inference(superposition,[status(thm)],[c_3651,c_3702]) ).
cnf(c_3941,plain,
( ~ between(d,X0,a)
| between(d,X0,b)
| between(a,b,d)
| between(b,d,a) ),
inference(superposition,[status(thm)],[c_3652,c_3702]) ).
cnf(c_3961,plain,
( ~ between(b,X0,a)
| between(c,X0,b)
| between(a,b,c)
| between(b,c,a) ),
inference(superposition,[status(thm)],[c_3651,c_3701]) ).
cnf(c_3962,plain,
( ~ between(b,X0,a)
| between(d,X0,b)
| between(a,b,d)
| between(b,d,a) ),
inference(superposition,[status(thm)],[c_3652,c_3701]) ).
cnf(c_3973,plain,
( ~ between(a,X0,b)
| between(d,X0,a)
| between(a,d,b)
| between(b,a,d) ),
inference(superposition,[status(thm)],[c_3749,c_3701]) ).
cnf(c_3974,plain,
( ~ between(d,X0,b)
| between(d,X0,a)
| between(a,d,b)
| between(b,a,d) ),
inference(superposition,[status(thm)],[c_3749,c_3702]) ).
cnf(c_3977,plain,
( ~ between(X0,b,a)
| a = b
| between(X0,d,b)
| between(d,X0,b)
| between(a,d,b)
| between(b,a,d) ),
inference(superposition,[status(thm)],[c_3749,c_107]) ).
cnf(c_3979,plain,
( ~ between(b,a,X0)
| a = b
| between(d,a,X0)
| between(a,d,b)
| between(b,a,d) ),
inference(superposition,[status(thm)],[c_3749,c_83]) ).
cnf(c_3980,plain,
( ~ between(b,a,X0)
| a = b
| between(d,b,X0)
| between(a,d,b)
| between(b,a,d) ),
inference(superposition,[status(thm)],[c_3749,c_84]) ).
cnf(c_3981,plain,
( ~ between(d,X0,a)
| between(d,X0,b)
| between(d,b,X0)
| between(a,d,b)
| between(b,a,d) ),
inference(superposition,[status(thm)],[c_3749,c_108]) ).
cnf(c_3983,plain,
( ~ between(b,d,a)
| b = d
| between(a,d,b)
| between(b,a,d) ),
inference(superposition,[status(thm)],[c_3749,c_77]) ).
cnf(c_3986,plain,
( ~ between(b,X0,a)
| between(d,X0,a)
| between(a,d,b)
| between(b,a,d) ),
inference(superposition,[status(thm)],[c_3749,c_85]) ).
cnf(c_3987,plain,
( between(a,b,d)
| between(a,d,b)
| between(b,a,d) ),
inference(superposition,[status(thm)],[c_3749,c_75]) ).
cnf(c_4102,plain,
( between(a,b,c)
| between(b,c,a)
| between(c,a,b) ),
inference(superposition,[status(thm)],[c_127,c_135]) ).
cnf(c_4103,plain,
( between(a,b,d)
| between(b,d,a)
| between(d,a,b) ),
inference(superposition,[status(thm)],[c_128,c_135]) ).
cnf(c_4110,plain,
( ~ between(a,X0,b)
| between(c,X0,a)
| between(a,c,b)
| between(b,a,c) ),
inference(superposition,[status(thm)],[c_3755,c_3701]) ).
cnf(c_4111,plain,
( ~ between(c,X0,b)
| between(c,X0,a)
| between(a,c,b)
| between(b,a,c) ),
inference(superposition,[status(thm)],[c_3755,c_3702]) ).
cnf(c_4115,plain,
( ~ between(b,X0,X1)
| ~ between(c,X1,a)
| between(c,X0,a)
| between(a,c,b)
| between(b,a,c) ),
inference(superposition,[status(thm)],[c_3755,c_110]) ).
cnf(c_4116,plain,
( ~ between(b,a,X0)
| a = b
| between(c,a,X0)
| between(a,c,b)
| between(b,a,c) ),
inference(superposition,[status(thm)],[c_3755,c_83]) ).
cnf(c_4117,plain,
( ~ between(b,a,X0)
| a = b
| between(c,b,X0)
| between(a,c,b)
| between(b,a,c) ),
inference(superposition,[status(thm)],[c_3755,c_84]) ).
cnf(c_4118,plain,
( ~ between(c,X0,a)
| between(c,X0,b)
| between(c,b,X0)
| between(a,c,b)
| between(b,a,c) ),
inference(superposition,[status(thm)],[c_3755,c_108]) ).
cnf(c_4120,plain,
( ~ between(b,c,a)
| b = c
| between(a,c,b)
| between(b,a,c) ),
inference(superposition,[status(thm)],[c_3755,c_77]) ).
cnf(c_4123,plain,
( ~ between(b,X0,a)
| between(c,X0,a)
| between(a,c,b)
| between(b,a,c) ),
inference(superposition,[status(thm)],[c_3755,c_85]) ).
cnf(c_4124,plain,
( between(a,b,c)
| between(a,c,b)
| between(b,a,c) ),
inference(superposition,[status(thm)],[c_3755,c_75]) ).
cnf(c_4190,plain,
( ~ between(X0,X1,X2)
| ~ between(X2,X3,X1)
| between(X0,X3,X2) ),
inference(superposition,[status(thm)],[c_73,c_110]) ).
cnf(c_4191,plain,
( ~ between(X0,X1,X2)
| ~ between(X0,X3,X1)
| between(X0,X3,X2) ),
inference(superposition,[status(thm)],[c_76,c_110]) ).
cnf(c_4238,plain,
( between(a,d,b)
| between(b,a,d)
| between(d,b,a) ),
inference(superposition,[status(thm)],[c_3917,c_135]) ).
cnf(c_4244,plain,
( between(a,c,b)
| between(b,a,c)
| between(c,b,a) ),
inference(superposition,[status(thm)],[c_3916,c_135]) ).
cnf(c_4266,plain,
( ~ between(X0,d,a)
| a = d
| between(X0,b,d)
| between(b,X0,d)
| between(a,b,d)
| between(b,a,d) ),
inference(superposition,[status(thm)],[c_3831,c_107]) ).
cnf(c_4270,plain,
( ~ between(b,X0,a)
| between(b,X0,d)
| between(b,d,X0)
| between(a,b,d)
| between(b,a,d) ),
inference(superposition,[status(thm)],[c_3831,c_108]) ).
cnf(c_4271,plain,
( ~ between(b,X0,a)
| between(X0,d,a)
| between(d,X0,a)
| between(a,b,d)
| between(b,a,d) ),
inference(superposition,[status(thm)],[c_3831,c_109]) ).
cnf(c_4274,plain,
( ~ between(b,a,X0)
| between(d,a,X0)
| between(a,b,d)
| between(b,a,d) ),
inference(superposition,[status(thm)],[c_3831,c_82]) ).
cnf(c_4346,plain,
( ~ between(d,a,X0)
| a = d
| between(d,X0,b)
| between(d,b,X0)
| between(a,b,d)
| between(b,d,a) ),
inference(superposition,[status(thm)],[c_4103,c_105]) ).
cnf(c_4351,plain,
( ~ between(a,b,X0)
| a = b
| between(d,a,X0)
| between(a,b,d)
| between(b,d,a) ),
inference(superposition,[status(thm)],[c_4103,c_84]) ).
cnf(c_4352,plain,
( ~ between(d,X0,b)
| between(d,X0,a)
| between(d,a,X0)
| between(a,b,d)
| between(b,d,a) ),
inference(superposition,[status(thm)],[c_4103,c_108]) ).
cnf(c_4354,plain,
( ~ between(a,d,b)
| a = d
| between(a,b,d)
| between(b,d,a) ),
inference(superposition,[status(thm)],[c_4103,c_77]) ).
cnf(c_4358,plain,
( between(a,b,d)
| between(b,a,d)
| between(b,d,a) ),
inference(superposition,[status(thm)],[c_4103,c_75]) ).
cnf(c_4435,plain,
( ~ between(X0,a,b)
| a = b
| between(X0,c,a)
| between(c,X0,a)
| between(a,b,c)
| between(b,c,a) ),
inference(superposition,[status(thm)],[c_4102,c_107]) ).
cnf(c_4445,plain,
( between(a,b,c)
| between(b,a,c)
| between(b,c,a) ),
inference(superposition,[status(thm)],[c_4102,c_75]) ).
cnf(c_4452,plain,
( ~ between(a,b,X0)
| between(d,a,X0)
| between(a,b,d)
| between(b,d,a) ),
inference(global_subsumption_just,[status(thm)],[c_3824,c_126,c_3824]) ).
cnf(c_4488,plain,
( ~ between(X0,a,b)
| between(X0,d,a)
| between(d,X0,a)
| between(a,b,d)
| between(b,d,a) ),
inference(global_subsumption_just,[status(thm)],[c_3821,c_126,c_3821]) ).
cnf(c_4502,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,c,a)
| between(b,d,a)
| between(c,d,a)
| between(d,c,a) ),
inference(superposition,[status(thm)],[c_3651,c_4488]) ).
cnf(c_4542,plain,
( ~ between(X0,c,a)
| a = c
| between(X0,b,c)
| between(b,X0,c)
| between(a,b,c)
| between(b,a,c) ),
inference(superposition,[status(thm)],[c_3865,c_107]) ).
cnf(c_4546,plain,
( ~ between(b,X0,a)
| between(b,X0,c)
| between(b,c,X0)
| between(a,b,c)
| between(b,a,c) ),
inference(superposition,[status(thm)],[c_3865,c_108]) ).
cnf(c_4547,plain,
( ~ between(b,X0,a)
| between(X0,c,a)
| between(c,X0,a)
| between(a,b,c)
| between(b,a,c) ),
inference(superposition,[status(thm)],[c_3865,c_109]) ).
cnf(c_4550,plain,
( ~ between(b,a,X0)
| between(c,a,X0)
| between(a,b,c)
| between(b,a,c) ),
inference(superposition,[status(thm)],[c_3865,c_82]) ).
cnf(c_4647,plain,
( ~ between(a,b,X0)
| between(c,a,X0)
| between(a,b,c)
| between(b,c,a) ),
inference(global_subsumption_just,[status(thm)],[c_3858,c_126,c_3858]) ).
cnf(c_4667,plain,
( ~ between(b,X0,a)
| between(c,X0,b)
| between(a,b,c)
| between(b,c,a) ),
inference(superposition,[status(thm)],[c_4102,c_4190]) ).
cnf(c_4668,plain,
( ~ between(b,X0,a)
| between(d,X0,b)
| between(a,b,d)
| between(b,d,a) ),
inference(superposition,[status(thm)],[c_4103,c_4190]) ).
cnf(c_4717,plain,
( ~ between(a,X0,b)
| between(d,X0,a)
| between(a,d,b)
| between(b,a,d) ),
inference(superposition,[status(thm)],[c_4238,c_4190]) ).
cnf(c_4723,plain,
( ~ between(b,a,X0)
| a = b
| between(d,a,X0)
| between(a,d,b)
| between(b,a,d) ),
inference(superposition,[status(thm)],[c_4238,c_83]) ).
cnf(c_4724,plain,
( ~ between(b,a,X0)
| a = b
| between(d,b,X0)
| between(a,d,b)
| between(b,a,d) ),
inference(superposition,[status(thm)],[c_4238,c_84]) ).
cnf(c_4727,plain,
( ~ between(b,d,a)
| b = d
| between(a,d,b)
| between(b,a,d) ),
inference(superposition,[status(thm)],[c_4238,c_77]) ).
cnf(c_4731,plain,
( between(a,b,d)
| between(a,d,b)
| between(b,a,d) ),
inference(superposition,[status(thm)],[c_4238,c_75]) ).
cnf(c_4804,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,a,c)
| between(b,d,a)
| between(d,c,b) ),
inference(superposition,[status(thm)],[c_3865,c_3962]) ).
cnf(c_4817,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,a,d)
| between(b,c,a)
| between(c,d,b) ),
inference(superposition,[status(thm)],[c_3831,c_3961]) ).
cnf(c_4824,plain,
( ~ between(d,X0,a)
| between(b,X0,d)
| between(a,b,d)
| between(a,d,b) ),
inference(superposition,[status(thm)],[c_3987,c_3701]) ).
cnf(c_4825,plain,
( ~ between(b,X0,a)
| between(b,X0,d)
| between(a,b,d)
| between(a,d,b) ),
inference(superposition,[status(thm)],[c_3987,c_3702]) ).
cnf(c_4826,plain,
( ~ between(b,a,X0)
| a = b
| between(b,X0,d)
| between(b,d,X0)
| between(a,b,d)
| between(a,d,b) ),
inference(superposition,[status(thm)],[c_3987,c_105]) ).
cnf(c_4827,plain,
( ~ between(b,a,X0)
| a = b
| between(a,X0,d)
| between(a,d,X0)
| between(a,b,d)
| between(a,d,b) ),
inference(superposition,[status(thm)],[c_3987,c_106]) ).
cnf(c_4829,plain,
( ~ between(a,X0,X1)
| ~ between(b,X1,d)
| between(b,X0,d)
| between(a,b,d)
| between(a,d,b) ),
inference(superposition,[status(thm)],[c_3987,c_110]) ).
cnf(c_4833,plain,
( ~ between(b,X0,d)
| between(X0,a,d)
| between(a,X0,d)
| between(a,b,d)
| between(a,d,b) ),
inference(superposition,[status(thm)],[c_3987,c_109]) ).
cnf(c_4838,plain,
( between(a,b,d)
| between(a,d,b)
| between(d,a,b) ),
inference(superposition,[status(thm)],[c_3987,c_75]) ).
cnf(c_4866,plain,
( between(a,b,c)
| between(a,d,b)
| between(b,a,c)
| between(b,a,d)
| between(d,c,a) ),
inference(superposition,[status(thm)],[c_3865,c_3986]) ).
cnf(c_4891,plain,
( ~ between(b,d,a)
| between(a,d,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3983,c_75,c_75]) ).
cnf(c_4948,plain,
( ~ between(a,X0,b)
| between(c,X0,a)
| between(a,c,b)
| between(b,a,c) ),
inference(superposition,[status(thm)],[c_4244,c_4190]) ).
cnf(c_4953,plain,
( ~ between(b,X0,X1)
| ~ between(c,X1,a)
| between(c,X0,a)
| between(a,c,b)
| between(b,a,c) ),
inference(superposition,[status(thm)],[c_4244,c_110]) ).
cnf(c_4955,plain,
( ~ between(b,a,X0)
| a = b
| between(c,b,X0)
| between(a,c,b)
| between(b,a,c) ),
inference(superposition,[status(thm)],[c_4244,c_84]) ).
cnf(c_4956,plain,
( ~ between(c,X0,a)
| between(c,X0,b)
| between(c,b,X0)
| between(a,c,b)
| between(b,a,c) ),
inference(superposition,[status(thm)],[c_4244,c_108]) ).
cnf(c_4958,plain,
( ~ between(b,c,a)
| b = c
| between(a,c,b)
| between(b,a,c) ),
inference(superposition,[status(thm)],[c_4244,c_77]) ).
cnf(c_4961,plain,
( ~ between(b,X0,a)
| between(c,X0,a)
| between(a,c,b)
| between(b,a,c) ),
inference(superposition,[status(thm)],[c_4244,c_85]) ).
cnf(c_4962,plain,
( between(a,b,c)
| between(a,c,b)
| between(b,a,c) ),
inference(superposition,[status(thm)],[c_4244,c_75]) ).
cnf(c_4969,plain,
( ~ between(b,a,X0)
| between(d,b,X0)
| between(a,d,b)
| between(b,a,d) ),
inference(global_subsumption_just,[status(thm)],[c_3980,c_126,c_3980]) ).
cnf(c_4982,plain,
( ~ between(b,a,X0)
| between(d,a,X0)
| between(a,d,b)
| between(b,a,d) ),
inference(global_subsumption_just,[status(thm)],[c_3979,c_126,c_3979]) ).
cnf(c_5010,plain,
( ~ between(X0,b,a)
| between(X0,d,b)
| between(d,X0,b)
| between(a,d,b)
| between(b,a,d) ),
inference(global_subsumption_just,[status(thm)],[c_3977,c_126,c_3977]) ).
cnf(c_5025,plain,
( between(a,c,b)
| between(a,d,b)
| between(b,a,c)
| between(b,a,d)
| between(c,d,b)
| between(d,c,b) ),
inference(superposition,[status(thm)],[c_3755,c_5010]) ).
cnf(c_5061,plain,
( ~ between(b,X0,a)
| between(b,X0,c)
| between(a,b,c)
| between(a,c,b) ),
inference(superposition,[status(thm)],[c_4124,c_3702]) ).
cnf(c_5063,plain,
( ~ between(b,a,X0)
| a = b
| between(a,X0,c)
| between(a,c,X0)
| between(a,b,c)
| between(a,c,b) ),
inference(superposition,[status(thm)],[c_4124,c_106]) ).
cnf(c_5069,plain,
( ~ between(b,X0,c)
| between(X0,a,c)
| between(a,X0,c)
| between(a,b,c)
| between(a,c,b) ),
inference(superposition,[status(thm)],[c_4124,c_109]) ).
cnf(c_5073,plain,
( ~ between(a,X0,c)
| between(b,X0,c)
| between(a,b,c)
| between(a,c,b) ),
inference(superposition,[status(thm)],[c_4124,c_85]) ).
cnf(c_5074,plain,
( between(a,b,c)
| between(a,c,b)
| between(c,a,b) ),
inference(superposition,[status(thm)],[c_4124,c_75]) ).
cnf(c_5081,plain,
( between(a,b,c)
| between(a,c,b)
| between(a,d,b)
| between(b,a,d)
| between(d,a,c) ),
inference(superposition,[status(thm)],[c_4124,c_4982]) ).
cnf(c_5082,plain,
( between(a,b,c)
| between(a,c,b)
| between(a,d,b)
| between(b,a,d)
| between(d,b,c) ),
inference(superposition,[status(thm)],[c_4124,c_4969]) ).
cnf(c_5106,plain,
( between(a,b,d)
| between(a,c,b)
| between(b,a,c)
| between(b,a,d)
| between(c,d,a) ),
inference(superposition,[status(thm)],[c_3831,c_4123]) ).
cnf(c_5130,plain,
( ~ between(b,c,a)
| between(a,c,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4120,c_75,c_75]) ).
cnf(c_5149,plain,
( ~ between(b,X0,a)
| between(X0,d,a)
| between(d,X0,a)
| between(a,b,d)
| between(b,a,d) ),
inference(superposition,[status(thm)],[c_4358,c_109]) ).
cnf(c_5208,plain,
( ~ between(b,a,X0)
| between(c,b,X0)
| between(a,c,b)
| between(b,a,c) ),
inference(global_subsumption_just,[status(thm)],[c_4117,c_126,c_4117]) ).
cnf(c_5220,plain,
( between(a,b,d)
| between(a,c,b)
| between(a,d,b)
| between(b,a,c)
| between(c,b,d) ),
inference(superposition,[status(thm)],[c_3987,c_5208]) ).
cnf(c_5222,plain,
( ~ between(b,a,X0)
| between(c,a,X0)
| between(a,c,b)
| between(b,a,c) ),
inference(global_subsumption_just,[status(thm)],[c_4116,c_126,c_4116]) ).
cnf(c_5234,plain,
( between(a,b,d)
| between(a,c,b)
| between(a,d,b)
| between(b,a,c)
| between(c,a,d) ),
inference(superposition,[status(thm)],[c_3987,c_5222]) ).
cnf(c_5317,plain,
( between(a,b,c)
| between(a,b,d)
| between(a,c,b)
| between(b,a,d)
| between(d,a,c) ),
inference(superposition,[status(thm)],[c_4124,c_4274]) ).
cnf(c_5356,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,a,c)
| between(b,a,d)
| between(c,d,a)
| between(d,c,a) ),
inference(superposition,[status(thm)],[c_3865,c_4271]) ).
cnf(c_5363,plain,
( ~ between(b,X0,a)
| between(b,X0,d)
| between(b,d,X0)
| between(a,b,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4270,c_3702]) ).
cnf(c_5370,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,a,c)
| between(b,c,d)
| between(b,d,c) ),
inference(superposition,[status(thm)],[c_3865,c_5363]) ).
cnf(c_5522,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,c,a)
| between(b,d,a)
| between(c,d,a)
| colinear(a,c,d) ),
inference(superposition,[status(thm)],[c_4502,c_112]) ).
cnf(c_5527,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,c,a)
| between(b,d,a)
| between(c,d,a)
| colinear(c,a,d) ),
inference(superposition,[status(thm)],[c_4502,c_134]) ).
cnf(c_5531,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,c,a)
| between(b,d,a)
| between(c,d,a)
| between(d,c,b) ),
inference(superposition,[status(thm)],[c_4502,c_3941]) ).
cnf(c_5557,plain,
( ~ between(a,d,b)
| between(b,d,a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4354,c_75,c_75]) ).
cnf(c_5586,plain,
( ~ between(a,b,X0)
| between(d,a,X0)
| between(a,b,d)
| between(b,d,a) ),
inference(global_subsumption_just,[status(thm)],[c_4351,c_4452]) ).
cnf(c_5630,plain,
( between(a,b,c)
| between(a,b,d)
| between(a,d,b)
| between(b,a,c)
| between(c,a,d) ),
inference(superposition,[status(thm)],[c_3987,c_4550]) ).
cnf(c_5704,plain,
( ~ between(b,X0,a)
| between(b,X0,c)
| between(b,c,X0)
| between(a,b,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4546,c_3702]) ).
cnf(c_5712,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,a,d)
| between(b,c,d)
| between(b,d,c) ),
inference(superposition,[status(thm)],[c_3831,c_5704]) ).
cnf(c_5811,plain,
( ~ between(b,X0,a)
| between(b,X0,c)
| between(b,c,X0)
| between(a,b,c)
| between(b,a,c) ),
inference(superposition,[status(thm)],[c_4445,c_108]) ).
cnf(c_5812,plain,
( ~ between(b,X0,a)
| between(X0,c,a)
| between(c,X0,a)
| between(a,b,c)
| between(b,a,c) ),
inference(superposition,[status(thm)],[c_4445,c_109]) ).
cnf(c_5815,plain,
( ~ between(b,a,X0)
| between(c,a,X0)
| between(a,b,c)
| between(b,a,c) ),
inference(superposition,[status(thm)],[c_4445,c_82]) ).
cnf(c_5897,plain,
( ~ between(X0,c,b)
| b = c
| between(X0,d,c)
| between(d,X0,c)
| between(a,b,c)
| between(a,b,d)
| between(b,a,c)
| between(b,d,a) ),
inference(superposition,[status(thm)],[c_4804,c_107]) ).
cnf(c_5900,plain,
( ~ between(c,b,X0)
| b = c
| between(d,c,X0)
| between(a,b,c)
| between(a,b,d)
| between(b,a,c)
| between(b,d,a) ),
inference(superposition,[status(thm)],[c_4804,c_84]) ).
cnf(c_5907,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,a,c)
| between(b,c,d)
| between(b,d,a) ),
inference(superposition,[status(thm)],[c_4804,c_75]) ).
cnf(c_5908,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,a,c)
| between(b,d,a)
| colinear(b,c,d) ),
inference(superposition,[status(thm)],[c_4804,c_112]) ).
cnf(c_5915,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,a,c)
| between(b,d,a)
| between(d,a,c)
| between(d,c,a) ),
inference(superposition,[status(thm)],[c_4804,c_3825]) ).
cnf(c_5953,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,a,d)
| between(b,c,a)
| between(b,d,c) ),
inference(superposition,[status(thm)],[c_4817,c_75]) ).
cnf(c_6059,plain,
( ~ between(a,b,X0)
| a = b
| between(d,b,X0)
| between(a,b,d)
| between(a,d,b) ),
inference(superposition,[status(thm)],[c_4838,c_83]) ).
cnf(c_6061,plain,
( ~ between(d,X0,b)
| between(d,X0,a)
| between(d,a,X0)
| between(a,b,d)
| between(a,d,b) ),
inference(superposition,[status(thm)],[c_4838,c_108]) ).
cnf(c_6120,plain,
( ~ between(X0,a,b)
| between(X0,c,a)
| between(c,X0,a)
| between(a,b,c)
| between(b,c,a) ),
inference(global_subsumption_just,[status(thm)],[c_4435,c_126,c_3855]) ).
cnf(c_6201,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,a,c)
| between(b,d,a)
| between(d,c,b) ),
inference(superposition,[status(thm)],[c_4445,c_4668]) ).
cnf(c_6214,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,a,d)
| between(b,c,a)
| between(c,d,b) ),
inference(superposition,[status(thm)],[c_4358,c_4667]) ).
cnf(c_6232,plain,
( ~ between(b,X0,a)
| between(b,X0,d)
| between(a,b,d)
| between(a,d,b) ),
inference(superposition,[status(thm)],[c_4731,c_4191]) ).
cnf(c_6234,plain,
( ~ between(b,a,X0)
| a = b
| between(a,X0,d)
| between(a,d,X0)
| between(a,b,d)
| between(a,d,b) ),
inference(superposition,[status(thm)],[c_4731,c_106]) ).
cnf(c_6240,plain,
( ~ between(b,X0,d)
| between(X0,a,d)
| between(a,X0,d)
| between(a,b,d)
| between(a,d,b) ),
inference(superposition,[status(thm)],[c_4731,c_109]) ).
cnf(c_6245,plain,
( between(a,b,d)
| between(a,d,b)
| between(d,a,b) ),
inference(superposition,[status(thm)],[c_4731,c_75]) ).
cnf(c_6276,plain,
( between(a,b,d)
| between(a,d,b)
| between(b,b,d) ),
inference(superposition,[status(thm)],[c_76,c_4825]) ).
cnf(c_6277,plain,
( between(a,b,c)
| between(a,b,d)
| between(a,d,b)
| between(b,a,c)
| between(b,c,d) ),
inference(superposition,[status(thm)],[c_3865,c_4825]) ).
cnf(c_6296,plain,
( ~ between(b,X0,d)
| between(X0,a,d)
| between(a,X0,d)
| between(a,d,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4833,c_85]) ).
cnf(c_6365,plain,
( ~ between(b,a,X0)
| between(a,X0,d)
| between(a,d,X0)
| between(a,b,d)
| between(a,d,b) ),
inference(global_subsumption_just,[status(thm)],[c_4827,c_126,c_4827]) ).
cnf(c_6380,plain,
( between(a,b,c)
| between(a,b,d)
| between(a,c,b)
| between(a,c,d)
| between(a,d,b)
| between(a,d,c) ),
inference(superposition,[status(thm)],[c_4124,c_6365]) ).
cnf(c_6381,plain,
( ~ between(b,a,X0)
| between(b,X0,d)
| between(b,d,X0)
| between(a,b,d)
| between(a,d,b) ),
inference(global_subsumption_just,[status(thm)],[c_4826,c_126,c_4826]) ).
cnf(c_6418,plain,
( ~ between(d,X0,a)
| between(d,X0,c)
| between(d,c,X0)
| between(a,b,c)
| between(a,d,b)
| between(b,a,c)
| between(b,a,d) ),
inference(superposition,[status(thm)],[c_4866,c_108]) ).
cnf(c_6419,plain,
( ~ between(d,X0,a)
| between(X0,c,a)
| between(c,X0,a)
| between(a,b,c)
| between(a,d,b)
| between(b,a,c)
| between(b,a,d) ),
inference(superposition,[status(thm)],[c_4866,c_109]) ).
cnf(c_6425,plain,
( between(a,b,c)
| between(a,d,b)
| between(b,a,c)
| between(b,a,d)
| colinear(a,c,d) ),
inference(superposition,[status(thm)],[c_4866,c_112]) ).
cnf(c_6433,plain,
( between(a,b,c)
| between(a,d,b)
| between(b,a,c)
| between(b,a,d)
| between(d,b,c)
| between(d,c,b) ),
inference(superposition,[status(thm)],[c_4866,c_3981]) ).
cnf(c_6436,plain,
( a = c
| between(a,b,c)
| between(a,d,b)
| between(b,a,c)
| between(b,a,d)
| between(b,d,c)
| between(d,b,c) ),
inference(superposition,[status(thm)],[c_4866,c_4542]) ).
cnf(c_6484,plain,
( ~ between(b,d,a)
| between(a,d,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4727,c_75,c_75]) ).
cnf(c_6572,plain,
( between(a,c,b)
| between(a,d,b)
| between(b,a,c)
| between(b,a,d)
| between(c,d,b)
| colinear(b,c,d) ),
inference(superposition,[status(thm)],[c_5025,c_112]) ).
cnf(c_6577,plain,
( between(a,c,b)
| between(a,d,b)
| between(b,a,c)
| between(b,a,d)
| between(c,d,b)
| colinear(c,b,d) ),
inference(superposition,[status(thm)],[c_5025,c_134]) ).
cnf(c_6578,plain,
( between(a,c,b)
| between(a,d,b)
| between(b,a,c)
| between(b,a,d)
| between(c,d,b)
| between(d,c,a) ),
inference(superposition,[status(thm)],[c_5025,c_3974]) ).
cnf(c_6606,plain,
( ~ between(b,a,X0)
| between(d,b,X0)
| between(a,d,b)
| between(b,a,d) ),
inference(global_subsumption_just,[status(thm)],[c_4724,c_126,c_3980]) ).
cnf(c_6618,plain,
( ~ between(b,a,X0)
| between(d,a,X0)
| between(a,d,b)
| between(b,a,d) ),
inference(global_subsumption_just,[status(thm)],[c_4723,c_4982]) ).
cnf(c_6676,plain,
( ~ between(c,X0,b)
| between(c,X0,a)
| between(c,a,X0)
| between(a,b,c)
| between(a,c,b) ),
inference(superposition,[status(thm)],[c_5074,c_108]) ).
cnf(c_6748,plain,
( ~ between(b,a,X0)
| a = b
| between(a,X0,c)
| between(a,c,X0)
| between(a,b,c)
| between(a,c,b) ),
inference(superposition,[status(thm)],[c_4962,c_106]) ).
cnf(c_6750,plain,
( ~ between(a,X0,X1)
| ~ between(b,X1,c)
| between(b,X0,c)
| between(a,b,c)
| between(a,c,b) ),
inference(superposition,[status(thm)],[c_4962,c_110]) ).
cnf(c_6754,plain,
( ~ between(b,X0,c)
| between(X0,a,c)
| between(a,X0,c)
| between(a,b,c)
| between(a,c,b) ),
inference(superposition,[status(thm)],[c_4962,c_109]) ).
cnf(c_6767,plain,
( between(a,b,c)
| between(a,c,b)
| between(a,d,b)
| between(b,a,d)
| between(d,b,c) ),
inference(superposition,[status(thm)],[c_4962,c_6606]) ).
cnf(c_6803,plain,
( between(a,b,c)
| between(a,c,b)
| between(b,b,c) ),
inference(superposition,[status(thm)],[c_76,c_5061]) ).
cnf(c_6805,plain,
( between(a,b,c)
| between(a,b,d)
| between(a,c,b)
| between(b,a,d)
| between(b,d,c) ),
inference(superposition,[status(thm)],[c_3831,c_5061]) ).
cnf(c_6847,plain,
( between(a,b,c)
| between(a,c,b)
| between(a,d,b)
| between(b,a,d)
| colinear(b,c,d) ),
inference(superposition,[status(thm)],[c_5082,c_134]) ).
cnf(c_6874,plain,
( between(a,b,d)
| between(a,c,b)
| between(b,a,c)
| between(b,a,d)
| between(c,d,a) ),
inference(superposition,[status(thm)],[c_4358,c_4961]) ).
cnf(c_6898,plain,
( ~ between(b,c,a)
| between(a,c,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4958,c_75,c_75]) ).
cnf(c_6943,plain,
( between(a,b,c)
| between(a,c,b)
| between(a,d,b)
| between(b,a,d)
| colinear(a,c,d) ),
inference(superposition,[status(thm)],[c_5081,c_134]) ).
cnf(c_6997,plain,
( ~ between(b,a,X0)
| between(c,b,X0)
| between(a,c,b)
| between(b,a,c) ),
inference(global_subsumption_just,[status(thm)],[c_4955,c_126,c_4117]) ).
cnf(c_7008,plain,
( between(a,b,d)
| between(a,c,b)
| between(a,d,b)
| between(b,a,c)
| between(c,b,d) ),
inference(superposition,[status(thm)],[c_4731,c_6997]) ).
cnf(c_7059,plain,
( ~ between(b,X0,c)
| between(X0,a,c)
| between(a,X0,c)
| between(a,c,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5069,c_85]) ).
cnf(c_7179,plain,
( ~ between(b,a,X0)
| between(a,X0,c)
| between(a,c,X0)
| between(a,b,c)
| between(a,c,b) ),
inference(global_subsumption_just,[status(thm)],[c_5063,c_126,c_5063]) ).
cnf(c_7259,plain,
( between(a,b,d)
| between(a,c,b)
| between(b,a,c)
| between(b,a,d)
| colinear(a,c,d) ),
inference(superposition,[status(thm)],[c_5106,c_133]) ).
cnf(c_7261,plain,
( a = d
| between(a,b,d)
| between(a,c,b)
| between(b,a,c)
| between(b,a,d)
| between(b,c,d)
| between(c,b,d) ),
inference(superposition,[status(thm)],[c_5106,c_4266]) ).
cnf(c_7264,plain,
( between(a,b,d)
| between(a,c,b)
| between(b,a,c)
| between(b,a,d)
| between(c,b,d)
| between(c,d,b) ),
inference(superposition,[status(thm)],[c_5106,c_4118]) ).
cnf(c_7300,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,a,c)
| between(b,a,d)
| between(c,d,a)
| between(d,c,a) ),
inference(superposition,[status(thm)],[c_4445,c_5149]) ).
cnf(c_7498,plain,
( ~ between(b,X0,d)
| between(c,X0,d)
| between(a,b,d)
| between(a,c,b)
| between(a,d,b)
| between(b,a,c) ),
inference(superposition,[status(thm)],[c_5220,c_85]) ).
cnf(c_7502,plain,
( between(a,b,d)
| between(a,c,b)
| between(a,d,b)
| between(b,a,c)
| colinear(b,c,d) ),
inference(superposition,[status(thm)],[c_5220,c_114]) ).
cnf(c_7547,plain,
( between(a,b,d)
| between(a,c,b)
| between(a,d,b)
| between(b,a,c)
| colinear(a,c,d) ),
inference(superposition,[status(thm)],[c_5234,c_114]) ).
cnf(c_7590,plain,
( between(a,b,c)
| between(a,b,d)
| between(a,d,b)
| between(b,a,c)
| between(c,a,d) ),
inference(superposition,[status(thm)],[c_4731,c_5815]) ).
cnf(c_7637,plain,
( ~ between(b,X0,a)
| between(b,X0,c)
| between(b,c,X0)
| between(a,b,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5811,c_4191]) ).
cnf(c_7645,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,a,d)
| between(b,c,d)
| between(b,d,c) ),
inference(superposition,[status(thm)],[c_4358,c_7637]) ).
cnf(c_7691,plain,
( between(a,b,c)
| between(a,b,d)
| between(a,c,b)
| between(b,a,d)
| colinear(a,c,d) ),
inference(superposition,[status(thm)],[c_5317,c_134]) ).
cnf(c_7845,plain,
( ~ between(c,X0,b)
| between(d,X0,b)
| between(a,b,c)
| between(a,b,d)
| between(b,a,c)
| between(b,d,a) ),
inference(superposition,[status(thm)],[c_6201,c_85]) ).
cnf(c_7854,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,a,c)
| between(b,d,a)
| between(d,a,c)
| between(d,c,a) ),
inference(superposition,[status(thm)],[c_6201,c_4352]) ).
cnf(c_7891,plain,
( between(a,b,c)
| between(a,b,d)
| between(a,c,d)
| between(b,a,c)
| between(b,a,d)
| between(c,d,a) ),
inference(superposition,[status(thm)],[c_5356,c_75]) ).
cnf(c_7941,plain,
( ~ between(b,X0,c)
| between(X0,d,c)
| between(d,X0,c)
| between(a,b,c)
| between(a,b,d)
| between(b,a,c)
| between(b,c,d) ),
inference(superposition,[status(thm)],[c_5370,c_109]) ).
cnf(c_7952,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,a,c)
| between(b,c,d)
| colinear(d,c,b) ),
inference(superposition,[status(thm)],[c_5370,c_134]) ).
cnf(c_7996,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,a,d)
| between(b,c,a)
| between(b,d,c) ),
inference(superposition,[status(thm)],[c_6214,c_75]) ).
cnf(c_8020,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,d,a)
| between(c,d,a)
| between(d,c,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5531,c_3962]) ).
cnf(c_8031,plain,
( ~ between(c,X0,X1)
| ~ between(d,X1,b)
| between(d,X0,b)
| between(a,b,c)
| between(a,b,d)
| between(b,d,a)
| between(c,d,a) ),
inference(superposition,[status(thm)],[c_8020,c_110]) ).
cnf(c_8041,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,d,a)
| between(c,d,a)
| colinear(b,c,d) ),
inference(superposition,[status(thm)],[c_8020,c_112]) ).
cnf(c_8046,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,d,a)
| between(c,d,a)
| colinear(c,b,d) ),
inference(superposition,[status(thm)],[c_8020,c_134]) ).
cnf(c_8048,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,d,a)
| between(c,d,a)
| between(d,a,c)
| between(d,c,a) ),
inference(superposition,[status(thm)],[c_8020,c_3825]) ).
cnf(c_8064,plain,
( between(c,d,a)
| between(b,d,a)
| between(b,c,a)
| between(a,b,d)
| between(a,b,c) ),
inference(global_subsumption_just,[status(thm)],[c_5527,c_129,c_5522,c_8041]) ).
cnf(c_8065,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,c,a)
| between(b,d,a)
| between(c,d,a) ),
inference(renaming,[status(thm)],[c_8064]) ).
cnf(c_8095,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,c,a)
| between(b,d,a)
| colinear(a,c,d) ),
inference(superposition,[status(thm)],[c_8065,c_133]) ).
cnf(c_8096,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,c,a)
| between(b,d,a)
| colinear(d,a,c) ),
inference(superposition,[status(thm)],[c_8065,c_134]) ).
cnf(c_8102,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,c,a)
| between(b,d,a)
| between(c,d,b) ),
inference(superposition,[status(thm)],[c_8065,c_3940]) ).
cnf(c_8126,plain,
( ~ between(a,b,X0)
| a = b
| between(d,b,X0)
| between(a,b,d)
| between(a,d,b) ),
inference(superposition,[status(thm)],[c_6245,c_83]) ).
cnf(c_8150,plain,
( between(a,b,c)
| between(a,b,d)
| between(a,d,b)
| between(b,c,a)
| between(c,d,a)
| between(d,c,a) ),
inference(superposition,[status(thm)],[c_6245,c_6120]) ).
cnf(c_8214,plain,
( between(a,b,c)
| between(a,b,d)
| between(a,d,b)
| between(b,a,c)
| colinear(a,c,d) ),
inference(superposition,[status(thm)],[c_5630,c_114]) ).
cnf(c_8280,plain,
( ~ between(c,c,a)
| between(a,b,c)
| between(a,b,d)
| between(a,c,b)
| between(b,a,c)
| between(b,a,d)
| between(b,c,d)
| between(c,d,a) ),
inference(superposition,[status(thm)],[c_5712,c_4115]) ).
cnf(c_8353,plain,
( ~ between(b,X0,d)
| between(X0,a,d)
| between(a,X0,d)
| between(a,d,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6240,c_85]) ).
cnf(c_8556,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,a,c)
| between(b,c,d)
| between(c,d,a)
| between(d,c,a) ),
inference(superposition,[status(thm)],[c_5907,c_4547]) ).
cnf(c_8629,plain,
( ~ between(b,a,X0)
| between(a,X0,d)
| between(a,d,X0)
| between(a,b,d)
| between(a,d,b) ),
inference(global_subsumption_just,[status(thm)],[c_6234,c_126,c_4827]) ).
cnf(c_8643,plain,
( between(a,b,c)
| between(a,b,d)
| between(a,c,b)
| between(a,c,d)
| between(a,d,b)
| between(a,d,c) ),
inference(superposition,[status(thm)],[c_4962,c_8629]) ).
cnf(c_8708,plain,
( between(a,b,d)
| between(b,a,c)
| between(b,d,a)
| between(d,a,c)
| between(d,c,a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5915,c_4452]) ).
cnf(c_8728,plain,
( between(a,b,d)
| between(a,c,d)
| between(b,a,c)
| between(b,d,a)
| between(d,a,c) ),
inference(superposition,[status(thm)],[c_8708,c_75]) ).
cnf(c_8729,plain,
( between(a,b,d)
| between(b,a,c)
| between(b,d,a)
| between(d,a,c)
| colinear(a,c,d) ),
inference(superposition,[status(thm)],[c_8708,c_112]) ).
cnf(c_8739,plain,
( between(a,b,d)
| between(b,a,c)
| between(b,d,a)
| between(d,a,c)
| between(d,c,b) ),
inference(superposition,[status(thm)],[c_8708,c_3941]) ).
cnf(c_8904,plain,
( b = c
| between(a,b,c)
| between(a,b,d)
| between(a,c,b)
| between(b,a,c)
| between(b,d,a)
| between(d,c,a) ),
inference(superposition,[status(thm)],[c_3755,c_5900]) ).
cnf(c_9024,plain,
( b = c
| between(a,b,c)
| between(a,b,d)
| between(b,a,c)
| between(b,d,a)
| between(c,d,c)
| between(d,c,c) ),
inference(superposition,[status(thm)],[c_76,c_5897]) ).
cnf(c_9025,plain,
( b = c
| between(a,b,c)
| between(a,b,d)
| between(b,a,c)
| between(b,d,a)
| between(c,d,a)
| between(d,d,c) ),
inference(superposition,[status(thm)],[c_8020,c_5897]) ).
cnf(c_9208,plain,
( between(a,b,c)
| between(a,b,d)
| between(a,c,b)
| between(a,d,c)
| between(b,a,d)
| between(b,c,a)
| between(d,a,c) ),
inference(superposition,[status(thm)],[c_5953,c_7059]) ).
cnf(c_9627,plain,
( between(b,a,d)
| between(a,d,b)
| between(a,c,b)
| between(a,b,c) ),
inference(global_subsumption_just,[status(thm)],[c_6767,c_129,c_6847,c_6943]) ).
cnf(c_9628,plain,
( between(a,b,c)
| between(a,c,b)
| between(a,d,b)
| between(b,a,d) ),
inference(renaming,[status(thm)],[c_9627]) ).
cnf(c_9647,plain,
( ~ between(a,b,d)
| a = b
| between(a,b,c)
| between(a,c,b)
| between(a,d,b) ),
inference(superposition,[status(thm)],[c_9628,c_77]) ).
cnf(c_9669,plain,
( between(a,a,d)
| between(a,b,c)
| between(a,c,b)
| between(a,d,b) ),
inference(superposition,[status(thm)],[c_9628,c_8353]) ).
cnf(c_9762,plain,
( between(a,b,c)
| between(a,b,d)
| between(a,d,b)
| between(b,d,a)
| between(c,d,a)
| between(d,a,c)
| between(d,c,a) ),
inference(superposition,[status(thm)],[c_8020,c_6061]) ).
cnf(c_9777,plain,
( ~ between(a,b,X0)
| between(d,b,X0)
| between(a,b,d)
| between(a,d,b) ),
inference(global_subsumption_just,[status(thm)],[c_6059,c_126,c_6059]) ).
cnf(c_9946,plain,
( between(a,b,c)
| between(a,b,d)
| between(a,d,b)
| between(b,a,c)
| colinear(b,c,d) ),
inference(superposition,[status(thm)],[c_6277,c_132]) ).
cnf(c_9974,plain,
( ~ between(b,X0,c)
| between(X0,a,c)
| between(a,X0,c)
| between(a,c,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6754,c_85]) ).
cnf(c_10043,plain,
( ~ between(b,a,X0)
| between(a,X0,c)
| between(a,c,X0)
| between(a,b,c)
| between(a,c,b) ),
inference(global_subsumption_just,[status(thm)],[c_6748,c_7179]) ).
cnf(c_10056,plain,
( between(a,b,c)
| between(a,c,b)
| between(a,c,d)
| between(a,d,b)
| between(a,d,c) ),
inference(superposition,[status(thm)],[c_9628,c_10043]) ).
cnf(c_10083,plain,
( between(a,b,c)
| between(a,c,b)
| between(a,c,d)
| between(a,d,b)
| between(a,d,c) ),
inference(global_subsumption_just,[status(thm)],[c_6380,c_10056]) ).
cnf(c_10121,plain,
( between(a,b,c)
| between(a,c,b)
| between(a,c,d)
| between(a,d,b)
| between(b,d,c) ),
inference(superposition,[status(thm)],[c_10083,c_5073]) ).
cnf(c_10179,plain,
( between(a,b,d)
| between(a,c,b)
| between(a,d,c)
| between(b,a,c)
| between(b,a,d) ),
inference(superposition,[status(thm)],[c_6874,c_75]) ).
cnf(c_10341,plain,
( ~ colinear(b,c,d)
| between(a,b,c)
| between(a,d,b)
| between(b,a,c)
| between(b,a,d) ),
inference(superposition,[status(thm)],[c_6425,c_129]) ).
cnf(c_10419,plain,
( between(b,a,c)
| between(a,d,b)
| between(a,c,b)
| between(a,b,d) ),
inference(global_subsumption_just,[status(thm)],[c_7008,c_129,c_7502,c_7547]) ).
cnf(c_10420,plain,
( between(a,b,d)
| between(a,c,b)
| between(a,d,b)
| between(b,a,c) ),
inference(renaming,[status(thm)],[c_10419]) ).
cnf(c_10439,plain,
( ~ between(a,b,c)
| a = b
| between(a,b,d)
| between(a,c,b)
| between(a,d,b) ),
inference(superposition,[status(thm)],[c_10420,c_77]) ).
cnf(c_10485,plain,
( between(a,b,c)
| between(a,d,b)
| between(b,a,d)
| between(d,b,c)
| between(d,c,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6433,c_4969]) ).
cnf(c_10506,plain,
( between(a,b,c)
| between(a,d,b)
| between(b,a,d)
| between(d,b,c)
| colinear(b,c,d) ),
inference(superposition,[status(thm)],[c_10485,c_112]) ).
cnf(c_10688,plain,
( between(b,a,d)
| between(b,a,c)
| between(a,d,b)
| between(a,b,c)
| between(d,b,c) ),
inference(global_subsumption_just,[status(thm)],[c_6436,c_10341,c_10506]) ).
cnf(c_10689,plain,
( between(a,b,c)
| between(a,d,b)
| between(b,a,c)
| between(b,a,d)
| between(d,b,c) ),
inference(renaming,[status(thm)],[c_10688]) ).
cnf(c_10695,plain,
( between(a,b,c)
| between(a,d,b)
| between(b,a,d)
| between(d,b,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10689,c_4969]) ).
cnf(c_10720,plain,
( between(a,b,c)
| between(a,d,b)
| between(b,a,d)
| colinear(b,c,d) ),
inference(superposition,[status(thm)],[c_10695,c_134]) ).
cnf(c_10745,plain,
( between(a,b,c)
| between(a,d,b)
| between(b,a,c)
| between(b,a,d) ),
inference(global_subsumption_just,[status(thm)],[c_6419,c_10341,c_10720]) ).
cnf(c_10765,plain,
( ~ between(a,b,d)
| a = b
| between(a,b,c)
| between(a,d,b)
| between(b,a,c) ),
inference(superposition,[status(thm)],[c_10745,c_77]) ).
cnf(c_10804,plain,
( between(b,a,c)
| between(a,d,b)
| between(a,b,c) ),
inference(global_subsumption_just,[status(thm)],[c_6418,c_126,c_129,c_8214,c_9946,c_10765]) ).
cnf(c_10805,plain,
( between(a,b,c)
| between(a,d,b)
| between(b,a,c) ),
inference(renaming,[status(thm)],[c_10804]) ).
cnf(c_10826,plain,
( between(a,b,c)
| between(a,d,b)
| between(c,a,b) ),
inference(superposition,[status(thm)],[c_10805,c_75]) ).
cnf(c_10835,plain,
( between(a,b,c)
| between(a,b,d)
| between(a,d,b)
| between(b,c,d)
| between(b,d,c) ),
inference(superposition,[status(thm)],[c_10805,c_6381]) ).
cnf(c_10841,plain,
( between(a,b,c)
| between(a,d,b)
| between(b,a,d)
| between(d,a,c) ),
inference(superposition,[status(thm)],[c_10805,c_4982]) ).
cnf(c_10901,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,a,c)
| between(b,a,d)
| between(c,d,a)
| colinear(c,a,d) ),
inference(superposition,[status(thm)],[c_7300,c_134]) ).
cnf(c_10927,plain,
( between(a,d,b)
| between(b,a,c)
| between(b,a,d)
| between(c,d,b)
| between(d,c,a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6578,c_3973]) ).
cnf(c_10948,plain,
( between(a,d,b)
| between(b,a,c)
| between(b,a,d)
| between(c,d,b)
| colinear(a,c,d) ),
inference(superposition,[status(thm)],[c_10927,c_112]) ).
cnf(c_10957,plain,
( between(a,d,b)
| between(b,a,c)
| between(b,a,d)
| between(c,d,b)
| between(d,b,c)
| between(d,c,b) ),
inference(superposition,[status(thm)],[c_10927,c_3981]) ).
cnf(c_11020,plain,
( between(c,d,b)
| between(b,a,d)
| between(b,a,c)
| between(a,d,b)
| between(a,c,b) ),
inference(global_subsumption_just,[status(thm)],[c_6577,c_129,c_6572,c_10948]) ).
cnf(c_11021,plain,
( between(a,c,b)
| between(a,d,b)
| between(b,a,c)
| between(b,a,d)
| between(c,d,b) ),
inference(renaming,[status(thm)],[c_11020]) ).
cnf(c_11044,plain,
( ~ between(c,b,X0)
| between(d,b,X0)
| between(a,c,b)
| between(a,d,b)
| between(b,a,c)
| between(b,a,d) ),
inference(superposition,[status(thm)],[c_11021,c_82]) ).
cnf(c_11045,plain,
( ~ between(d,X0,b)
| between(c,X0,b)
| between(a,c,b)
| between(a,d,b)
| between(b,a,c)
| between(b,a,d) ),
inference(superposition,[status(thm)],[c_11021,c_85]) ).
cnf(c_11051,plain,
( between(a,c,b)
| between(a,d,b)
| between(b,a,c)
| between(b,a,d)
| colinear(b,c,d) ),
inference(superposition,[status(thm)],[c_11021,c_133]) ).
cnf(c_11052,plain,
( between(a,c,b)
| between(a,d,b)
| between(b,a,c)
| between(b,a,d)
| colinear(d,b,c) ),
inference(superposition,[status(thm)],[c_11021,c_134]) ).
cnf(c_11057,plain,
( between(a,c,b)
| between(a,d,b)
| between(b,a,c)
| between(b,a,d)
| between(c,d,a) ),
inference(superposition,[status(thm)],[c_11021,c_4111]) ).
cnf(c_11429,plain,
( between(a,b,c)
| between(a,b,d)
| between(a,c,b)
| between(b,a,d)
| colinear(b,c,d) ),
inference(superposition,[status(thm)],[c_6805,c_113]) ).
cnf(c_11552,plain,
( between(b,a,c)
| between(a,d,b)
| between(a,b,c) ),
inference(global_subsumption_just,[status(thm)],[c_7590,c_10805]) ).
cnf(c_11553,plain,
( between(a,b,c)
| between(a,d,b)
| between(b,a,c) ),
inference(renaming,[status(thm)],[c_11552]) ).
cnf(c_11589,plain,
( between(a,b,c)
| between(a,d,b)
| between(b,a,d)
| between(d,a,c) ),
inference(superposition,[status(thm)],[c_11553,c_6618]) ).
cnf(c_11717,plain,
( ~ colinear(b,c,d)
| between(a,b,d)
| between(a,c,b)
| between(b,a,c)
| between(b,a,d) ),
inference(superposition,[status(thm)],[c_7259,c_129]) ).
cnf(c_11849,plain,
( between(a,b,d)
| between(a,c,b)
| between(b,a,c)
| between(c,b,d)
| between(c,d,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7264,c_5208]) ).
cnf(c_11874,plain,
( between(a,b,d)
| between(a,c,b)
| between(b,a,c)
| between(c,b,d)
| colinear(b,c,d) ),
inference(superposition,[status(thm)],[c_11849,c_133]) ).
cnf(c_11927,plain,
( ~ between(b,d,X0)
| b = d
| between(d,X0,c)
| between(d,c,X0)
| between(a,b,c)
| between(a,b,d)
| between(b,a,d)
| between(b,c,d) ),
inference(superposition,[status(thm)],[c_7645,c_106]) ).
cnf(c_11931,plain,
( ~ between(d,c,X0)
| c = d
| between(b,d,X0)
| between(a,b,c)
| between(a,b,d)
| between(b,a,d)
| between(b,c,d) ),
inference(superposition,[status(thm)],[c_7645,c_84]) ).
cnf(c_11933,plain,
( ~ between(b,X0,c)
| between(X0,d,c)
| between(d,X0,c)
| between(a,b,c)
| between(a,b,d)
| between(b,a,d)
| between(b,c,d) ),
inference(superposition,[status(thm)],[c_7645,c_109]) ).
cnf(c_11945,plain,
( ~ between(c,c,a)
| between(a,b,c)
| between(a,b,d)
| between(a,c,b)
| between(b,a,c)
| between(b,a,d)
| between(b,c,d)
| between(c,d,a) ),
inference(superposition,[status(thm)],[c_7645,c_4953]) ).
cnf(c_12054,plain,
( between(b,a,d)
| between(b,a,c)
| between(a,c,b)
| between(a,b,d)
| between(c,b,d) ),
inference(global_subsumption_just,[status(thm)],[c_7261,c_11717,c_11874]) ).
cnf(c_12055,plain,
( between(a,b,d)
| between(a,c,b)
| between(b,a,c)
| between(b,a,d)
| between(c,b,d) ),
inference(renaming,[status(thm)],[c_12054]) ).
cnf(c_12061,plain,
( between(a,b,d)
| between(a,c,b)
| between(b,a,c)
| between(c,b,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12055,c_5208]) ).
cnf(c_12083,plain,
( between(a,b,d)
| between(a,c,b)
| between(b,a,c)
| colinear(b,c,d) ),
inference(superposition,[status(thm)],[c_12061,c_114]) ).
cnf(c_12196,plain,
( between(a,b,d)
| between(a,c,b)
| between(a,d,b)
| between(b,a,c) ),
inference(global_subsumption_just,[status(thm)],[c_7498,c_129,c_7502,c_7547]) ).
cnf(c_12304,plain,
( between(b,a,d)
| between(a,c,b)
| between(a,b,d)
| between(a,b,c) ),
inference(global_subsumption_just,[status(thm)],[c_7691,c_129,c_7691,c_11429]) ).
cnf(c_12305,plain,
( between(a,b,c)
| between(a,b,d)
| between(a,c,b)
| between(b,a,d) ),
inference(renaming,[status(thm)],[c_12304]) ).
cnf(c_12325,plain,
( ~ between(b,d,a)
| a = d
| between(a,b,c)
| between(a,b,d)
| between(a,c,b) ),
inference(superposition,[status(thm)],[c_12305,c_78]) ).
cnf(c_12464,plain,
( between(a,b,c)
| between(a,b,d)
| between(a,c,b)
| between(a,c,d)
| between(b,a,c)
| between(b,a,d)
| between(c,b,d)
| between(c,d,b) ),
inference(superposition,[status(thm)],[c_7891,c_4118]) ).
cnf(c_12818,plain,
( between(d,a,c)
| between(b,d,a)
| between(b,a,c)
| between(a,b,d)
| between(a,b,c) ),
inference(global_subsumption_just,[status(thm)],[c_7854,c_129,c_5908,c_8729]) ).
cnf(c_12819,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,a,c)
| between(b,d,a)
| between(d,a,c) ),
inference(renaming,[status(thm)],[c_12818]) ).
cnf(c_12825,plain,
( between(a,b,d)
| between(b,a,c)
| between(b,d,a)
| between(d,a,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12819,c_5586]) ).
cnf(c_12850,plain,
( between(a,b,d)
| between(b,a,c)
| between(b,d,a)
| colinear(a,c,d) ),
inference(superposition,[status(thm)],[c_12825,c_134]) ).
cnf(c_12854,plain,
( a = d
| between(a,b,d)
| between(b,a,c)
| between(b,d,a)
| between(d,b,c)
| between(d,c,b) ),
inference(superposition,[status(thm)],[c_12825,c_4346]) ).
cnf(c_13067,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,a,c)
| colinear(d,c,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7952,c_112]) ).
cnf(c_13073,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,a,c)
| colinear(b,c,d) ),
inference(superposition,[status(thm)],[c_13067,c_115]) ).
cnf(c_13244,plain,
( between(a,b,c)
| between(a,b,d)
| between(a,c,b)
| between(a,d,b)
| between(a,d,c)
| between(b,a,c)
| between(b,c,d)
| between(d,a,c) ),
inference(superposition,[status(thm)],[c_12196,c_7941]) ).
cnf(c_13426,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,d,a)
| between(b,d,c)
| between(c,b,d)
| between(c,d,a)
| between(d,c,b) ),
inference(superposition,[status(thm)],[c_8046,c_135]) ).
cnf(c_13564,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,a,c)
| between(b,d,a) ),
inference(global_subsumption_just,[status(thm)],[c_7845,c_129,c_12850,c_13073]) ).
cnf(c_13595,plain,
( between(a,b,c)
| between(a,b,d)
| between(a,d,b)
| between(b,a,c) ),
inference(superposition,[status(thm)],[c_13564,c_6484]) ).
cnf(c_13600,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,a,c)
| between(c,d,a)
| between(d,c,a) ),
inference(superposition,[status(thm)],[c_13564,c_5812]) ).
cnf(c_13786,plain,
( between(a,b,c)
| between(a,b,d)
| between(a,c,b)
| between(a,d,c)
| between(b,a,d)
| between(b,c,a)
| between(d,a,c) ),
inference(superposition,[status(thm)],[c_7996,c_9974]) ).
cnf(c_13846,plain,
( between(a,b,d)
| between(b,d,a)
| between(c,d,a)
| between(d,a,c)
| between(d,c,a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8048,c_4452]) ).
cnf(c_13867,plain,
( between(a,b,d)
| between(b,d,a)
| between(c,d,a)
| between(d,a,c)
| colinear(a,c,d) ),
inference(superposition,[status(thm)],[c_13846,c_112]) ).
cnf(c_14146,plain,
( ~ between(c,X0,a)
| between(d,X0,b)
| between(a,b,c)
| between(a,b,d)
| between(a,d,b)
| between(b,d,a)
| between(c,d,a) ),
inference(superposition,[status(thm)],[c_4838,c_8031]) ).
cnf(c_14285,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,c,a)
| between(c,d,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8102,c_3961]) ).
cnf(c_14299,plain,
( ~ between(c,X0,b)
| between(X0,d,b)
| between(d,X0,b)
| between(a,b,c)
| between(a,b,d)
| between(b,c,a) ),
inference(superposition,[status(thm)],[c_14285,c_109]) ).
cnf(c_14309,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,c,a)
| colinear(b,c,d) ),
inference(superposition,[status(thm)],[c_14285,c_133]) ).
cnf(c_14312,plain,
( between(a,b,c)
| between(a,b,d)
| between(a,c,b)
| between(b,c,a)
| between(c,a,d)
| between(c,d,a) ),
inference(superposition,[status(thm)],[c_14285,c_6676]) ).
cnf(c_14319,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,c,a)
| between(c,a,d)
| between(c,d,a) ),
inference(superposition,[status(thm)],[c_14285,c_3859]) ).
cnf(c_14339,plain,
( between(b,d,a)
| between(b,c,a)
| between(a,b,d)
| between(a,b,c) ),
inference(global_subsumption_just,[status(thm)],[c_8096,c_129,c_8095,c_14309]) ).
cnf(c_14340,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,c,a)
| between(b,d,a) ),
inference(renaming,[status(thm)],[c_14339]) ).
cnf(c_14370,plain,
( between(a,b,c)
| between(a,b,d)
| between(a,d,b)
| between(b,c,a) ),
inference(superposition,[status(thm)],[c_14340,c_4891]) ).
cnf(c_14685,plain,
( ~ between(a,b,X0)
| between(d,b,X0)
| between(a,b,d)
| between(a,d,b) ),
inference(global_subsumption_just,[status(thm)],[c_8126,c_9777]) ).
cnf(c_14691,plain,
( ~ between(a,b,X0)
| between(d,b,X0)
| between(a,b,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14685,c_82]) ).
cnf(c_14708,plain,
( between(a,b,c)
| between(a,b,d)
| between(a,d,b)
| between(b,c,a) ),
inference(global_subsumption_just,[status(thm)],[c_8150,c_14370]) ).
cnf(c_14739,plain,
( between(a,b,c)
| between(a,b,d)
| between(a,c,b)
| between(a,d,b) ),
inference(superposition,[status(thm)],[c_14708,c_6898]) ).
cnf(c_14743,plain,
( between(a,b,c)
| between(a,b,d)
| between(a,d,b)
| between(b,c,d) ),
inference(superposition,[status(thm)],[c_14708,c_6232]) ).
cnf(c_15000,plain,
( between(a,d,b)
| between(a,b,d)
| between(a,c,b) ),
inference(global_subsumption_just,[status(thm)],[c_8643,c_126,c_10439,c_14739]) ).
cnf(c_15001,plain,
( between(a,b,d)
| between(a,c,b)
| between(a,d,b) ),
inference(renaming,[status(thm)],[c_15000]) ).
cnf(c_15029,plain,
( between(a,b,d)
| between(a,c,b)
| between(b,d,a) ),
inference(superposition,[status(thm)],[c_15001,c_5557]) ).
cnf(c_15031,plain,
( between(a,b,d)
| between(a,c,b)
| between(b,a,c)
| between(c,d,a) ),
inference(superposition,[status(thm)],[c_15001,c_4948]) ).
cnf(c_15243,plain,
( between(a,b,d)
| between(a,c,b)
| between(b,a,c)
| between(c,d,a) ),
inference(global_subsumption_just,[status(thm)],[c_8280,c_15031]) ).
cnf(c_15266,plain,
( ~ between(d,X0,a)
| between(c,X0,a)
| between(a,b,d)
| between(a,c,b)
| between(b,a,c) ),
inference(superposition,[status(thm)],[c_15243,c_85]) ).
cnf(c_15272,plain,
( between(a,b,d)
| between(a,c,b)
| between(b,a,c)
| colinear(a,c,d) ),
inference(superposition,[status(thm)],[c_15243,c_133]) ).
cnf(c_15382,plain,
( between(b,a,c)
| between(a,b,d)
| between(a,b,c)
| between(c,d,a)
| between(d,c,a) ),
inference(global_subsumption_just,[status(thm)],[c_8556,c_13600]) ).
cnf(c_15383,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,a,c)
| between(c,d,a)
| between(d,c,a) ),
inference(renaming,[status(thm)],[c_15382]) ).
cnf(c_15409,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,a,c)
| between(c,d,a)
| colinear(a,c,d) ),
inference(superposition,[status(thm)],[c_15383,c_112]) ).
cnf(c_15418,plain,
( between(a,b,c)
| between(a,b,d)
| between(a,d,b)
| between(b,a,c)
| between(b,c,d)
| between(c,d,a) ),
inference(superposition,[status(thm)],[c_15383,c_4824]) ).
cnf(c_15859,plain,
( between(a,b,d)
| between(b,a,c)
| between(b,d,a)
| between(d,a,c)
| colinear(b,c,d) ),
inference(superposition,[status(thm)],[c_8739,c_112]) ).
cnf(c_15991,plain,
( between(a,b,c)
| between(a,c,b)
| between(a,d,b) ),
inference(global_subsumption_just,[status(thm)],[c_9669,c_126,c_9647,c_15001]) ).
cnf(c_16029,plain,
( ~ between(b,b,c)
| between(a,b,c)
| between(a,c,b)
| between(b,d,c) ),
inference(superposition,[status(thm)],[c_15991,c_6750]) ).
cnf(c_16102,plain,
( between(b,a,c)
| between(a,b,d)
| between(a,c,b) ),
inference(global_subsumption_just,[status(thm)],[c_10179,c_129,c_12083,c_15272]) ).
cnf(c_16103,plain,
( between(a,b,d)
| between(a,c,b)
| between(b,a,c) ),
inference(renaming,[status(thm)],[c_16102]) ).
cnf(c_16120,plain,
( ~ between(a,b,c)
| a = b
| between(a,b,d)
| between(a,c,b) ),
inference(superposition,[status(thm)],[c_16103,c_77]) ).
cnf(c_16234,plain,
( between(a,b,d)
| between(b,a,c)
| between(b,d,a)
| between(d,a,c) ),
inference(global_subsumption_just,[status(thm)],[c_8728,c_129,c_12850,c_15859]) ).
cnf(c_16256,plain,
( ~ between(d,c,X0)
| between(a,c,X0)
| between(a,b,d)
| between(b,a,c)
| between(b,d,a) ),
inference(superposition,[status(thm)],[c_16234,c_82]) ).
cnf(c_16319,plain,
( between(b,d,a)
| between(a,b,d)
| between(a,c,b) ),
inference(global_subsumption_just,[status(thm)],[c_8904,c_15029]) ).
cnf(c_16320,plain,
( between(a,b,d)
| between(a,c,b)
| between(b,d,a) ),
inference(renaming,[status(thm)],[c_16319]) ).
cnf(c_16338,plain,
( ~ between(b,a,d)
| a = d
| between(a,b,d)
| between(a,c,b) ),
inference(superposition,[status(thm)],[c_16320,c_78]) ).
cnf(c_16399,plain,
( between(c,d,a)
| between(a,b,c)
| between(a,b,d)
| between(b,a,c) ),
inference(global_subsumption_just,[status(thm)],[c_9025,c_129,c_13073,c_15409]) ).
cnf(c_16400,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,a,c)
| between(c,d,a) ),
inference(renaming,[status(thm)],[c_16399]) ).
cnf(c_16428,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,a,c)
| colinear(a,c,d) ),
inference(superposition,[status(thm)],[c_16400,c_133]) ).
cnf(c_16445,plain,
( between(b,a,c)
| between(a,b,d)
| between(a,b,c) ),
inference(global_subsumption_just,[status(thm)],[c_9024,c_129,c_13073,c_16428]) ).
cnf(c_16446,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,a,c) ),
inference(renaming,[status(thm)],[c_16445]) ).
cnf(c_16582,plain,
( between(a,c,b)
| between(a,b,d)
| between(b,a,d) ),
inference(global_subsumption_just,[status(thm)],[c_9208,c_126,c_12305,c_16120]) ).
cnf(c_16583,plain,
( between(a,b,d)
| between(a,c,b)
| between(b,a,d) ),
inference(renaming,[status(thm)],[c_16582]) ).
cnf(c_16795,plain,
( between(d,a,c)
| between(c,d,a)
| between(b,d,a)
| between(a,b,c)
| between(a,b,d) ),
inference(global_subsumption_just,[status(thm)],[c_9762,c_129,c_8041,c_13867]) ).
cnf(c_16796,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,d,a)
| between(c,d,a)
| between(d,a,c) ),
inference(renaming,[status(thm)],[c_16795]) ).
cnf(c_16802,plain,
( between(a,b,d)
| between(b,d,a)
| between(c,d,a)
| between(d,a,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16796,c_4452]) ).
cnf(c_16817,plain,
( ~ between(a,d,c)
| a = d
| between(a,b,d)
| between(b,d,a)
| between(c,d,a) ),
inference(superposition,[status(thm)],[c_16802,c_77]) ).
cnf(c_16819,plain,
( ~ between(d,c,X0)
| between(a,c,X0)
| between(a,b,d)
| between(b,d,a)
| between(c,d,a) ),
inference(superposition,[status(thm)],[c_16802,c_82]) ).
cnf(c_16827,plain,
( between(a,b,d)
| between(b,d,a)
| between(c,d,a)
| colinear(a,c,d) ),
inference(superposition,[status(thm)],[c_16802,c_134]) ).
cnf(c_16993,plain,
( between(a,b,c)
| between(a,c,b)
| between(b,d,c) ),
inference(global_subsumption_just,[status(thm)],[c_10121,c_6803,c_16029]) ).
cnf(c_17002,plain,
( ~ between(b,X0,d)
| between(b,X0,c)
| between(a,b,c)
| between(a,c,b) ),
inference(superposition,[status(thm)],[c_16993,c_3702]) ).
cnf(c_17011,plain,
( ~ between(d,b,c)
| b = d
| between(a,b,c)
| between(a,c,b) ),
inference(superposition,[status(thm)],[c_16993,c_77]) ).
cnf(c_17017,plain,
( between(a,b,c)
| between(a,c,b)
| colinear(b,c,d) ),
inference(superposition,[status(thm)],[c_16993,c_113]) ).
cnf(c_17033,plain,
( between(a,b,c)
| between(a,c,b)
| between(a,d,c)
| between(d,a,c) ),
inference(superposition,[status(thm)],[c_16993,c_7059]) ).
cnf(c_17686,plain,
( between(a,b,c)
| between(a,b,d)
| between(a,d,b)
| between(b,d,a)
| between(c,d,a)
| between(d,c,a) ),
inference(superposition,[status(thm)],[c_10826,c_4488]) ).
cnf(c_17741,plain,
( between(a,b,c)
| between(a,d,b)
| between(b,a,d)
| colinear(a,c,d) ),
inference(superposition,[status(thm)],[c_10841,c_134]) ).
cnf(c_17885,plain,
( between(b,a,c)
| between(a,b,d)
| between(a,b,c) ),
inference(global_subsumption_just,[status(thm)],[c_10901,c_16446]) ).
cnf(c_17886,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,a,c) ),
inference(renaming,[status(thm)],[c_17885]) ).
cnf(c_18292,plain,
( between(b,a,d)
| between(a,d,b)
| between(a,b,c) ),
inference(global_subsumption_just,[status(thm)],[c_11589,c_129,c_10720,c_17741]) ).
cnf(c_18293,plain,
( between(a,b,c)
| between(a,d,b)
| between(b,a,d) ),
inference(renaming,[status(thm)],[c_18292]) ).
cnf(c_18310,plain,
( ~ between(a,b,d)
| a = b
| between(a,b,c)
| between(a,d,b) ),
inference(superposition,[status(thm)],[c_18293,c_77]) ).
cnf(c_18348,plain,
( between(b,c,d)
| between(a,d,b)
| between(a,b,c) ),
inference(global_subsumption_just,[status(thm)],[c_10835,c_126,c_14743,c_18310]) ).
cnf(c_18349,plain,
( between(a,b,c)
| between(a,d,b)
| between(b,c,d) ),
inference(renaming,[status(thm)],[c_18348]) ).
cnf(c_18374,plain,
( between(a,b,c)
| between(a,d,b)
| colinear(b,c,d) ),
inference(superposition,[status(thm)],[c_18349,c_132]) ).
cnf(c_18778,plain,
( between(a,d,b)
| between(b,a,d)
| between(c,d,b)
| between(d,b,c)
| between(d,c,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10957,c_4969]) ).
cnf(c_18799,plain,
( between(a,d,b)
| between(b,a,d)
| between(c,d,b)
| between(d,b,c)
| colinear(b,c,d) ),
inference(superposition,[status(thm)],[c_18778,c_112]) ).
cnf(c_18804,plain,
( between(a,d,b)
| between(b,a,d)
| between(c,d,b)
| between(d,b,c)
| colinear(c,b,d) ),
inference(superposition,[status(thm)],[c_18778,c_134]) ).
cnf(c_18810,plain,
( between(a,d,b)
| between(b,a,d)
| between(c,d,b)
| between(d,b,c)
| between(d,c,a) ),
inference(superposition,[status(thm)],[c_18778,c_3974]) ).
cnf(c_19174,plain,
( between(a,c,b)
| between(b,a,c)
| between(b,a,d)
| between(c,d,a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11057,c_4110]) ).
cnf(c_19198,plain,
( between(a,c,b)
| between(b,a,c)
| between(b,a,d)
| colinear(a,c,d) ),
inference(superposition,[status(thm)],[c_19174,c_133]) ).
cnf(c_19206,plain,
( between(a,c,b)
| between(b,a,c)
| between(b,a,d)
| between(c,b,d)
| between(c,d,b) ),
inference(superposition,[status(thm)],[c_19174,c_4118]) ).
cnf(c_19241,plain,
( between(b,a,d)
| between(b,a,c)
| between(a,d,b)
| between(a,c,b) ),
inference(global_subsumption_just,[status(thm)],[c_11052,c_129,c_11051,c_19198]) ).
cnf(c_19242,plain,
( between(a,c,b)
| between(a,d,b)
| between(b,a,c)
| between(b,a,d) ),
inference(renaming,[status(thm)],[c_19241]) ).
cnf(c_19261,plain,
( ~ between(a,b,d)
| a = b
| between(a,c,b)
| between(a,d,b)
| between(b,a,c) ),
inference(superposition,[status(thm)],[c_19242,c_77]) ).
cnf(c_19285,plain,
( ~ between(c,d,a)
| between(a,c,b)
| between(a,d,b)
| between(b,a,c)
| between(c,a,a) ),
inference(superposition,[status(thm)],[c_19242,c_4115]) ).
cnf(c_19289,plain,
( between(a,a,d)
| between(a,c,b)
| between(a,d,b)
| between(b,a,c) ),
inference(superposition,[status(thm)],[c_19242,c_6296]) ).
cnf(c_19385,plain,
( between(b,a,c)
| between(a,d,b)
| between(a,c,b) ),
inference(global_subsumption_just,[status(thm)],[c_11045,c_126,c_129,c_7502,c_7547,c_19261]) ).
cnf(c_19386,plain,
( between(a,c,b)
| between(a,d,b)
| between(b,a,c) ),
inference(renaming,[status(thm)],[c_19385]) ).
cnf(c_19403,plain,
( ~ between(a,b,c)
| a = b
| between(a,c,b)
| between(a,d,b) ),
inference(superposition,[status(thm)],[c_19386,c_77]) ).
cnf(c_19464,plain,
( between(a,c,b)
| between(a,d,b) ),
inference(global_subsumption_just,[status(thm)],[c_11044,c_126,c_15991,c_19403]) ).
cnf(c_19481,plain,
( ~ between(a,b,d)
| b = d
| between(a,c,b) ),
inference(superposition,[status(thm)],[c_19464,c_78]) ).
cnf(c_19494,plain,
( between(a,c,b)
| between(b,a,c)
| between(c,d,a) ),
inference(superposition,[status(thm)],[c_19464,c_4110]) ).
cnf(c_20051,plain,
( between(a,b,c)
| between(a,b,d)
| between(a,d,c)
| between(b,a,d)
| between(b,c,d)
| between(d,a,c) ),
inference(superposition,[status(thm)],[c_17886,c_11933]) ).
cnf(c_20091,plain,
( c = d
| between(a,b,c)
| between(a,b,d)
| between(b,a,d)
| between(b,c,d)
| between(b,d,c) ),
inference(superposition,[status(thm)],[c_73,c_11931]) ).
cnf(c_20128,plain,
( between(a,c,b)
| between(b,a,c)
| between(c,d,a) ),
inference(global_subsumption_just,[status(thm)],[c_11945,c_19494]) ).
cnf(c_20150,plain,
( between(a,c,b)
| between(a,d,c)
| between(b,a,c) ),
inference(superposition,[status(thm)],[c_20128,c_75]) ).
cnf(c_20162,plain,
( between(a,c,b)
| between(b,a,c)
| between(c,b,d)
| between(c,d,b) ),
inference(superposition,[status(thm)],[c_20128,c_4956]) ).
cnf(c_20182,plain,
( a = d
| between(a,b,d)
| between(a,c,b) ),
inference(global_subsumption_just,[status(thm)],[c_12325,c_16338,c_16583]) ).
cnf(c_20217,plain,
( a = d
| between(a,b,d)
| between(b,d,a)
| between(d,c,b) ),
inference(superposition,[status(thm)],[c_20182,c_3830]) ).
cnf(c_20331,plain,
( between(b,a,c)
| between(a,c,b)
| between(c,b,d)
| between(c,d,b) ),
inference(global_subsumption_just,[status(thm)],[c_12464,c_20162]) ).
cnf(c_20332,plain,
( between(a,c,b)
| between(b,a,c)
| between(c,b,d)
| between(c,d,b) ),
inference(renaming,[status(thm)],[c_20331]) ).
cnf(c_20360,plain,
( between(a,c,b)
| between(b,a,c)
| between(c,b,d)
| colinear(b,c,d) ),
inference(superposition,[status(thm)],[c_20332,c_133]) ).
cnf(c_20416,plain,
( b = d
| between(a,b,c)
| between(a,b,d)
| between(b,a,d)
| between(b,c,d)
| between(d,c,d)
| between(d,d,c) ),
inference(superposition,[status(thm)],[c_73,c_11927]) ).
cnf(c_21265,plain,
( between(a,c,b)
| between(a,d,c)
| between(b,a,c) ),
inference(global_subsumption_just,[status(thm)],[c_13244,c_20150]) ).
cnf(c_21283,plain,
( ~ between(a,b,c)
| a = b
| between(a,c,b)
| between(a,d,c) ),
inference(superposition,[status(thm)],[c_21265,c_77]) ).
cnf(c_21331,plain,
( between(b,d,a)
| a = d
| between(a,b,d)
| between(d,c,b) ),
inference(global_subsumption_just,[status(thm)],[c_12854,c_20217]) ).
cnf(c_21332,plain,
( a = d
| between(a,b,d)
| between(b,d,a)
| between(d,c,b) ),
inference(renaming,[status(thm)],[c_21331]) ).
cnf(c_21356,plain,
( a = d
| between(a,b,d)
| between(b,d,a)
| colinear(b,c,d) ),
inference(superposition,[status(thm)],[c_21332,c_112]) ).
cnf(c_21404,plain,
( between(c,d,a)
| between(b,d,a)
| between(a,b,d)
| between(a,b,c) ),
inference(global_subsumption_just,[status(thm)],[c_13426,c_129,c_8041,c_16827]) ).
cnf(c_21405,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,d,a)
| between(c,d,a) ),
inference(renaming,[status(thm)],[c_21404]) ).
cnf(c_21433,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,d,a)
| colinear(a,c,d) ),
inference(superposition,[status(thm)],[c_21405,c_133]) ).
cnf(c_21708,plain,
( between(b,d,a)
| between(a,d,b)
| between(a,b,c) ),
inference(global_subsumption_just,[status(thm)],[c_14146,c_126,c_129,c_18310,c_18374,c_21433]) ).
cnf(c_21709,plain,
( between(a,b,c)
| between(a,d,b)
| between(b,d,a) ),
inference(renaming,[status(thm)],[c_21708]) ).
cnf(c_21713,plain,
( between(a,b,c)
| between(b,d,a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21709,c_75]) ).
cnf(c_21728,plain,
( ~ between(b,a,X0)
| between(d,a,X0)
| between(a,b,c) ),
inference(superposition,[status(thm)],[c_21713,c_82]) ).
cnf(c_21737,plain,
( between(a,b,c)
| between(a,d,b) ),
inference(superposition,[status(thm)],[c_21713,c_4891]) ).
cnf(c_21744,plain,
( between(a,b,c)
| between(b,c,d)
| between(b,d,c) ),
inference(superposition,[status(thm)],[c_21713,c_5704]) ).
cnf(c_21931,plain,
( between(a,b,c)
| between(b,c,a)
| between(c,a,d)
| between(c,d,a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14319,c_4647]) ).
cnf(c_21955,plain,
( between(a,b,c)
| between(b,c,a)
| between(c,a,d)
| colinear(a,c,d) ),
inference(superposition,[status(thm)],[c_21931,c_133]) ).
cnf(c_22048,plain,
( between(c,a,d)
| between(b,c,a)
| between(a,c,b)
| between(a,b,d) ),
inference(global_subsumption_just,[status(thm)],[c_14312,c_126,c_129,c_14309,c_16120,c_21955]) ).
cnf(c_22049,plain,
( between(a,b,d)
| between(a,c,b)
| between(b,c,a)
| between(c,a,d) ),
inference(renaming,[status(thm)],[c_22048]) ).
cnf(c_22054,plain,
( between(a,b,d)
| between(b,c,a)
| between(c,a,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22049,c_75]) ).
cnf(c_22075,plain,
( between(a,b,d)
| between(b,c,a)
| colinear(a,c,d) ),
inference(superposition,[status(thm)],[c_22054,c_114]) ).
cnf(c_22099,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,c,a) ),
inference(global_subsumption_just,[status(thm)],[c_14299,c_129,c_14309,c_22075]) ).
cnf(c_22128,plain,
( between(a,b,c)
| between(a,b,d)
| between(a,c,b) ),
inference(superposition,[status(thm)],[c_22099,c_5130]) ).
cnf(c_22603,plain,
( between(a,c,b)
| between(a,b,d) ),
inference(global_subsumption_just,[status(thm)],[c_15266,c_126,c_16120,c_22128]) ).
cnf(c_22604,plain,
( between(a,b,d)
| between(a,c,b) ),
inference(renaming,[status(thm)],[c_22603]) ).
cnf(c_22640,plain,
( ~ between(b,b,d)
| between(a,b,d)
| between(a,d,b)
| between(b,c,d) ),
inference(superposition,[status(thm)],[c_22604,c_4829]) ).
cnf(c_22695,plain,
( between(b,c,d)
| between(a,b,d)
| between(a,d,b) ),
inference(global_subsumption_just,[status(thm)],[c_15418,c_6276,c_22640]) ).
cnf(c_22696,plain,
( between(a,b,d)
| between(a,d,b)
| between(b,c,d) ),
inference(renaming,[status(thm)],[c_22695]) ).
cnf(c_22721,plain,
( between(a,b,d)
| between(a,d,b)
| colinear(b,c,d) ),
inference(superposition,[status(thm)],[c_22696,c_132]) ).
cnf(c_23101,plain,
( between(a,b,d)
| between(a,c,a)
| between(a,d,b)
| between(b,a,c)
| between(b,a,d)
| between(b,d,a)
| between(c,d,b) ),
inference(superposition,[status(thm)],[c_10927,c_16256]) ).
cnf(c_24064,plain,
( between(a,b,d)
| between(b,d,a)
| colinear(a,c,d) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16827,c_133]) ).
cnf(c_24074,plain,
( ~ colinear(b,c,d)
| between(a,b,d)
| between(b,d,a) ),
inference(superposition,[status(thm)],[c_24064,c_129]) ).
cnf(c_24160,plain,
( between(a,b,d)
| between(a,c,a)
| between(a,d,b)
| between(b,a,c)
| between(b,a,d)
| between(b,d,a)
| between(c,d,a)
| between(c,d,b) ),
inference(superposition,[status(thm)],[c_10927,c_16819]) ).
cnf(c_24173,plain,
( between(b,d,a)
| between(a,b,d)
| a = d ),
inference(global_subsumption_just,[status(thm)],[c_16817,c_21356,c_24074]) ).
cnf(c_24174,plain,
( a = d
| between(a,b,d)
| between(b,d,a) ),
inference(renaming,[status(thm)],[c_24173]) ).
cnf(c_24202,plain,
( a = d
| between(a,b,d)
| between(a,d,b) ),
inference(superposition,[status(thm)],[c_24174,c_4891]) ).
cnf(c_24517,plain,
( between(a,c,b)
| between(a,d,c)
| between(d,a,c) ),
inference(global_subsumption_just,[status(thm)],[c_17033,c_126,c_17033,c_21283]) ).
cnf(c_24545,plain,
( between(a,c,b)
| between(a,d,c)
| colinear(a,c,d) ),
inference(superposition,[status(thm)],[c_24517,c_134]) ).
cnf(c_24728,plain,
( b = d
| between(a,c,b) ),
inference(global_subsumption_just,[status(thm)],[c_17011,c_19481,c_22604]) ).
cnf(c_24739,plain,
( ~ between(c,X0,X1)
| ~ between(a,X1,b)
| b = d
| between(a,X0,b) ),
inference(superposition,[status(thm)],[c_24728,c_110]) ).
cnf(c_24740,plain,
( ~ between(c,b,X0)
| b = c
| b = d
| between(a,b,X0) ),
inference(superposition,[status(thm)],[c_24728,c_83]) ).
cnf(c_24741,plain,
( ~ between(c,b,X0)
| b = c
| b = d
| between(a,c,X0) ),
inference(superposition,[status(thm)],[c_24728,c_84]) ).
cnf(c_24745,plain,
( ~ between(a,b,c)
| b = c
| b = d ),
inference(superposition,[status(thm)],[c_24728,c_78]) ).
cnf(c_24790,plain,
( between(a,d,b)
| between(a,b,c) ),
inference(global_subsumption_just,[status(thm)],[c_13595,c_21737]) ).
cnf(c_24791,plain,
( between(a,b,c)
| between(a,d,b) ),
inference(renaming,[status(thm)],[c_24790]) ).
cnf(c_24807,plain,
( ~ between(a,b,d)
| b = d
| between(a,b,c) ),
inference(superposition,[status(thm)],[c_24791,c_78]) ).
cnf(c_24982,plain,
( between(a,d,c)
| between(a,c,b) ),
inference(global_subsumption_just,[status(thm)],[c_13786,c_126,c_129,c_17017,c_21283,c_24545]) ).
cnf(c_24983,plain,
( between(a,c,b)
| between(a,d,c) ),
inference(renaming,[status(thm)],[c_24982]) ).
cnf(c_25004,plain,
( between(a,c,b)
| colinear(a,c,d) ),
inference(superposition,[status(thm)],[c_24983,c_113]) ).
cnf(c_25477,plain,
( between(a,b,c)
| between(a,c,b) ),
inference(global_subsumption_just,[status(thm)],[c_17002,c_129,c_17017,c_25004]) ).
cnf(c_25641,plain,
( between(a,b,d)
| between(a,d,b)
| between(b,d,a) ),
inference(global_subsumption_just,[status(thm)],[c_17686,c_22721,c_24074]) ).
cnf(c_25646,plain,
( between(a,b,d)
| between(b,d,a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25641,c_75]) ).
cnf(c_25670,plain,
( between(a,b,d)
| between(a,d,b) ),
inference(superposition,[status(thm)],[c_25646,c_4891]) ).
cnf(c_26870,plain,
( between(a,d,b)
| between(b,a,d)
| between(c,d,b)
| between(d,b,c)
| colinear(a,c,d) ),
inference(superposition,[status(thm)],[c_18810,c_112]) ).
cnf(c_26897,plain,
( between(d,b,c)
| between(c,d,b)
| between(b,a,d)
| between(a,d,b) ),
inference(global_subsumption_just,[status(thm)],[c_18804,c_129,c_18799,c_26870]) ).
cnf(c_26898,plain,
( between(a,d,b)
| between(b,a,d)
| between(c,d,b)
| between(d,b,c) ),
inference(renaming,[status(thm)],[c_26897]) ).
cnf(c_26927,plain,
( between(a,d,b)
| between(b,a,d)
| between(c,d,b)
| colinear(b,c,d) ),
inference(superposition,[status(thm)],[c_26898,c_134]) ).
cnf(c_27072,plain,
( between(c,b,d)
| between(a,c,b)
| between(b,a,c) ),
inference(global_subsumption_just,[status(thm)],[c_19206,c_129,c_20360,c_25004]) ).
cnf(c_27073,plain,
( between(a,c,b)
| between(b,a,c)
| between(c,b,d) ),
inference(renaming,[status(thm)],[c_27072]) ).
cnf(c_27097,plain,
( between(a,c,b)
| between(b,a,c)
| colinear(b,c,d) ),
inference(superposition,[status(thm)],[c_27073,c_114]) ).
cnf(c_27113,plain,
( between(a,c,b)
| between(b,a,c) ),
inference(global_subsumption_just,[status(thm)],[c_19289,c_129,c_25004,c_27097]) ).
cnf(c_27129,plain,
( ~ between(a,b,c)
| a = b
| between(a,c,b) ),
inference(superposition,[status(thm)],[c_27113,c_77]) ).
cnf(c_27161,plain,
between(a,c,b),
inference(global_subsumption_just,[status(thm)],[c_19285,c_126,c_25477,c_27129]) ).
cnf(c_27174,plain,
( ~ between(a,b,c)
| b = c ),
inference(superposition,[status(thm)],[c_27161,c_78]) ).
cnf(c_28401,plain,
( between(a,b,c)
| between(b,c,d)
| colinear(b,c,d) ),
inference(superposition,[status(thm)],[c_21744,c_113]) ).
cnf(c_28443,plain,
( between(a,b,c)
| between(a,b,d)
| between(d,a,c) ),
inference(superposition,[status(thm)],[c_16446,c_21728]) ).
cnf(c_29051,plain,
between(a,c,b),
inference(global_subsumption_just,[status(thm)],[c_14739,c_126,c_25477,c_27129]) ).
cnf(c_29077,plain,
( between(a,d,b)
| between(b,a,d)
| between(d,c,a) ),
inference(superposition,[status(thm)],[c_29051,c_4717]) ).
cnf(c_29721,plain,
( between(a,b,d)
| between(a,b,c)
| between(d,a,c) ),
inference(global_subsumption_just,[status(thm)],[c_20051,c_28443]) ).
cnf(c_29722,plain,
( between(a,b,c)
| between(a,b,d)
| between(d,a,c) ),
inference(renaming,[status(thm)],[c_29721]) ).
cnf(c_29749,plain,
( between(a,b,c)
| between(a,b,d)
| colinear(a,c,d) ),
inference(superposition,[status(thm)],[c_29722,c_134]) ).
cnf(c_29760,plain,
( between(a,b,c)
| between(b,c,d)
| between(b,d,c) ),
inference(global_subsumption_just,[status(thm)],[c_20091,c_21744]) ).
cnf(c_29788,plain,
( between(a,b,c)
| between(b,c,d)
| colinear(d,c,b) ),
inference(superposition,[status(thm)],[c_29760,c_134]) ).
cnf(c_29833,plain,
( between(a,b,d)
| between(a,b,c)
| between(b,c,d) ),
inference(global_subsumption_just,[status(thm)],[c_20416,c_129,c_28401,c_29749]) ).
cnf(c_29834,plain,
( between(a,b,c)
| between(a,b,d)
| between(b,c,d) ),
inference(renaming,[status(thm)],[c_29833]) ).
cnf(c_29859,plain,
( between(a,b,c)
| between(a,b,d)
| colinear(b,c,d) ),
inference(superposition,[status(thm)],[c_29834,c_132]) ).
cnf(c_30227,plain,
( b = d
| between(a,b,c) ),
inference(global_subsumption_just,[status(thm)],[c_24807,c_129,c_24807,c_29749,c_29859]) ).
cnf(c_30256,plain,
( b = d
| between(a,b,d)
| between(d,b,c) ),
inference(superposition,[status(thm)],[c_30227,c_14691]) ).
cnf(c_31022,plain,
( between(a,d,b)
| between(b,a,d)
| colinear(a,c,d) ),
inference(superposition,[status(thm)],[c_29077,c_112]) ).
cnf(c_31307,plain,
( between(a,b,c)
| colinear(d,c,b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29788,c_112]) ).
cnf(c_31311,plain,
( between(a,b,c)
| colinear(b,c,d) ),
inference(superposition,[status(thm)],[c_31307,c_115]) ).
cnf(c_31822,plain,
( b = d
| between(a,b,d)
| colinear(b,c,d) ),
inference(superposition,[status(thm)],[c_30256,c_134]) ).
cnf(c_32117,plain,
( between(b,a,d)
| between(a,d,b)
| between(c,d,b) ),
inference(global_subsumption_just,[status(thm)],[c_23101,c_129,c_26927,c_31022]) ).
cnf(c_32118,plain,
( between(a,d,b)
| between(b,a,d)
| between(c,d,b) ),
inference(renaming,[status(thm)],[c_32117]) ).
cnf(c_32144,plain,
( between(a,d,b)
| between(b,a,d)
| colinear(b,c,d) ),
inference(superposition,[status(thm)],[c_32118,c_133]) ).
cnf(c_32495,plain,
( between(b,a,d)
| between(a,d,b) ),
inference(global_subsumption_just,[status(thm)],[c_24160,c_129,c_31022,c_32144]) ).
cnf(c_32496,plain,
( between(a,d,b)
| between(b,a,d) ),
inference(renaming,[status(thm)],[c_32495]) ).
cnf(c_32511,plain,
( ~ between(a,b,d)
| a = b
| between(a,d,b) ),
inference(superposition,[status(thm)],[c_32496,c_77]) ).
cnf(c_32539,plain,
between(a,d,b),
inference(global_subsumption_just,[status(thm)],[c_24202,c_126,c_25670,c_32511]) ).
cnf(c_32552,plain,
( ~ between(a,b,d)
| b = d ),
inference(superposition,[status(thm)],[c_32539,c_78]) ).
cnf(c_32772,plain,
( b = d
| b = c ),
inference(global_subsumption_just,[status(thm)],[c_24741,c_24745,c_30227]) ).
cnf(c_32773,plain,
( b = c
| b = d ),
inference(renaming,[status(thm)],[c_32772]) ).
cnf(c_32841,plain,
( ~ colinear(a,c,b)
| ~ colinear(b,c,d)
| b = c ),
inference(superposition,[status(thm)],[c_32773,c_129]) ).
cnf(c_32858,plain,
b = c,
inference(global_subsumption_just,[status(thm)],[c_24740,c_3310,c_27174,c_31311,c_32841]) ).
cnf(c_32909,plain,
( ~ colinear(a,b,d)
| ~ colinear(b,c,d) ),
inference(superposition,[status(thm)],[c_32858,c_129]) ).
cnf(c_32922,plain,
b = d,
inference(global_subsumption_just,[status(thm)],[c_24739,c_128,c_31822,c_32552,c_32909]) ).
cnf(c_34451,plain,
~ colinear(b,c,d),
inference(global_subsumption_just,[status(thm)],[c_32909,c_128,c_32909]) ).
cnf(c_34453,plain,
~ colinear(b,b,b),
inference(light_normalisation,[status(thm)],[c_34451,c_32858,c_32922]) ).
cnf(c_34454,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_34453,c_121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.18 % Problem : GEO012-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.11/0.19 % Command : run_iprover %s %d THM
% 0.18/0.42 % Computer : n018.cluster.edu
% 0.18/0.42 % Model : x86_64 x86_64
% 0.18/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.42 % Memory : 8042.1875MB
% 0.18/0.42 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.42 % CPULimit : 300
% 0.18/0.42 % WCLimit : 300
% 0.18/0.42 % DateTime : Tue Aug 29 23:44:48 EDT 2023
% 0.18/0.42 % CPUTime :
% 0.27/0.58 Running first-order theorem proving
% 0.27/0.58 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 16.29/3.42 % SZS status Started for theBenchmark.p
% 16.29/3.42 % SZS status Unsatisfiable for theBenchmark.p
% 16.29/3.42
% 16.29/3.42 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 16.29/3.42
% 16.29/3.42 ------ iProver source info
% 16.29/3.42
% 16.29/3.42 git: date: 2023-05-31 18:12:56 +0000
% 16.29/3.42 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 16.29/3.42 git: non_committed_changes: false
% 16.29/3.42 git: last_make_outside_of_git: false
% 16.29/3.42
% 16.29/3.42 ------ Parsing...successful
% 16.29/3.42
% 16.29/3.42
% 16.29/3.42
% 16.29/3.42 ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 16.29/3.42
% 16.29/3.42 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 16.29/3.42
% 16.29/3.42 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 16.29/3.42 ------ Proving...
% 16.29/3.42 ------ Problem Properties
% 16.29/3.42
% 16.29/3.42
% 16.29/3.42 clauses 97
% 16.29/3.42 conjectures 1
% 16.29/3.42 EPR 69
% 16.29/3.42 Horn 78
% 16.29/3.42 unary 30
% 16.29/3.42 binary 27
% 16.29/3.42 lits 255
% 16.29/3.42 lits eq 40
% 16.29/3.42 fd_pure 0
% 16.29/3.42 fd_pseudo 0
% 16.29/3.42 fd_cond 0
% 16.29/3.42 fd_pseudo_cond 21
% 16.29/3.42 AC symbols 0
% 16.29/3.42
% 16.29/3.42 ------ Input Options Time Limit: Unbounded
% 16.29/3.42
% 16.29/3.42
% 16.29/3.42 ------
% 16.29/3.42 Current options:
% 16.29/3.42 ------
% 16.29/3.42
% 16.29/3.42
% 16.29/3.42
% 16.29/3.42
% 16.29/3.42 ------ Proving...
% 16.29/3.42
% 16.29/3.42
% 16.29/3.42 ------ Proving...
% 16.29/3.42
% 16.29/3.42
% 16.29/3.42 % SZS status Unsatisfiable for theBenchmark.p
% 16.29/3.42
% 16.29/3.42 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 16.29/3.43
% 16.29/3.44
%------------------------------------------------------------------------------