TSTP Solution File: GEO070-3 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO070-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 23:09:11 EDT 2023
% Result : Unsatisfiable 17.62s 3.14s
% Output : CNFRefutation 17.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 34
% Syntax : Number of clauses : 170 ( 48 unt; 39 nHn; 169 RR)
% Number of literals : 423 ( 24 equ; 178 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 156 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,plain,
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2) ).
cnf(c_51,plain,
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X1,X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3) ).
cnf(c_52,plain,
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_1) ).
cnf(c_53,plain,
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X1,X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_2) ).
cnf(c_54,plain,
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_3) ).
cnf(c_55,plain,
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X3,X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_4) ).
cnf(c_56,plain,
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X3,X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_5) ).
cnf(c_57,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X2,X3,X4,X5)
| equidistant(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5) ).
cnf(c_75,plain,
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).
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_104,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X4,X2,X5)
| ~ equidistant(X1,X4,X3,X5)
| ~ between(X0,X1,X4)
| between(X2,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b11) ).
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_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_115,plain,
( ~ colinear(X0,X1,X2)
| colinear(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_1) ).
cnf(c_118,plain,
( ~ colinear(X0,X1,X2)
| colinear(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_4) ).
cnf(c_119,plain,
( ~ colinear(X0,X1,X2)
| colinear(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_5) ).
cnf(c_125,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X4,X2,X5)
| ~ equidistant(X1,X4,X3,X5)
| ~ colinear(X0,X1,X4)
| colinear(X2,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c4) ).
cnf(c_127,plain,
( ~ colinear(X0,X1,X2)
| ~ colinear(X0,X1,X3)
| X0 = X1
| colinear(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_2) ).
cnf(c_129,plain,
( ~ colinear(X0,X1,X2)
| ~ colinear(X3,X1,X2)
| X1 = X2
| colinear(X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c5_2) ).
cnf(c_131,plain,
equidistant(u,v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_w_to_x) ).
cnf(c_132,plain,
equidistant(v,w,x,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_to_w_equals_x_to_u) ).
cnf(c_133,plain,
equidistant(u,w,v,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_w_equals_v_to_x) ).
cnf(c_134,plain,
between(u,y,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',y_between_u_and_w) ).
cnf(c_135,plain,
between(v,y,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',y_between_v_and_x) ).
cnf(c_136,plain,
u != v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_not_v) ).
cnf(c_137,plain,
u != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_not_u) ).
cnf(c_138,negated_conjecture,
colinear(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_uvw_not_colinear) ).
cnf(c_143,plain,
( ~ between(X0,X1,X2)
| colinear(X1,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity3) ).
cnf(c_144,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_145,plain,
equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).
cnf(c_146,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X1,X4,X5)
| equidistant(X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).
cnf(c_3573,plain,
colinear(v,u,w),
inference(superposition,[status(thm)],[c_138,c_119]) ).
cnf(c_3581,plain,
colinear(w,u,v),
inference(superposition,[status(thm)],[c_138,c_118]) ).
cnf(c_3605,plain,
colinear(w,v,u),
inference(superposition,[status(thm)],[c_138,c_115]) ).
cnf(c_4681,plain,
( between(u,v,w)
| between(v,w,u)
| between(w,u,v) ),
inference(superposition,[status(thm)],[c_138,c_144]) ).
cnf(c_4972,plain,
( ~ between(u,v,X0)
| u = v
| between(w,v,X0)
| between(u,v,w)
| between(v,w,u) ),
inference(superposition,[status(thm)],[c_4681,c_83]) ).
cnf(c_5824,plain,
( ~ between(u,v,X0)
| between(w,v,X0)
| between(u,v,w)
| between(v,w,u) ),
inference(global_subsumption_just,[status(thm)],[c_4972,c_136,c_4972]) ).
cnf(c_7142,plain,
colinear(v,u,w),
inference(superposition,[status(thm)],[c_138,c_119]) ).
cnf(c_7212,plain,
equidistant(x,w,v,u),
inference(superposition,[status(thm)],[c_131,c_56]) ).
cnf(c_7213,plain,
equidistant(u,x,w,v),
inference(superposition,[status(thm)],[c_132,c_56]) ).
cnf(c_7214,plain,
equidistant(x,v,w,u),
inference(superposition,[status(thm)],[c_133,c_56]) ).
cnf(c_7222,plain,
equidistant(x,w,u,v),
inference(superposition,[status(thm)],[c_131,c_55]) ).
cnf(c_7223,plain,
equidistant(u,x,v,w),
inference(superposition,[status(thm)],[c_132,c_55]) ).
cnf(c_7224,plain,
equidistant(x,v,u,w),
inference(superposition,[status(thm)],[c_133,c_55]) ).
cnf(c_7232,plain,
equidistant(w,x,v,u),
inference(superposition,[status(thm)],[c_131,c_54]) ).
cnf(c_7233,plain,
equidistant(x,u,w,v),
inference(superposition,[status(thm)],[c_132,c_54]) ).
cnf(c_7234,plain,
equidistant(v,x,w,u),
inference(superposition,[status(thm)],[c_133,c_54]) ).
cnf(c_7243,plain,
equidistant(w,v,u,x),
inference(superposition,[status(thm)],[c_132,c_53]) ).
cnf(c_7244,plain,
equidistant(w,u,x,v),
inference(superposition,[status(thm)],[c_133,c_53]) ).
cnf(c_7252,plain,
equidistant(u,v,x,w),
inference(superposition,[status(thm)],[c_131,c_52]) ).
cnf(c_7253,plain,
equidistant(v,w,u,x),
inference(superposition,[status(thm)],[c_132,c_52]) ).
cnf(c_7254,plain,
equidistant(u,w,x,v),
inference(superposition,[status(thm)],[c_133,c_52]) ).
cnf(c_7262,plain,
equidistant(v,u,w,x),
inference(superposition,[status(thm)],[c_131,c_51]) ).
cnf(c_7263,plain,
equidistant(w,v,x,u),
inference(superposition,[status(thm)],[c_132,c_51]) ).
cnf(c_7264,plain,
equidistant(w,u,v,x),
inference(superposition,[status(thm)],[c_133,c_51]) ).
cnf(c_7272,plain,
equidistant(w,x,u,v),
inference(superposition,[status(thm)],[c_131,c_50]) ).
cnf(c_7273,plain,
equidistant(x,u,v,w),
inference(superposition,[status(thm)],[c_132,c_50]) ).
cnf(c_7333,plain,
( ~ equidistant(u,v,X0,X1)
| equidistant(w,x,X0,X1) ),
inference(superposition,[status(thm)],[c_131,c_146]) ).
cnf(c_7335,plain,
( ~ equidistant(u,w,X0,X1)
| equidistant(v,x,X0,X1) ),
inference(superposition,[status(thm)],[c_133,c_146]) ).
cnf(c_7351,plain,
( between(u,v,w)
| between(v,w,u)
| between(w,u,v) ),
inference(superposition,[status(thm)],[c_138,c_144]) ).
cnf(c_7564,plain,
( ~ equidistant(u,X0,w,X1)
| ~ equidistant(v,X0,x,X1)
| ~ colinear(u,v,X0)
| colinear(w,x,X1) ),
inference(superposition,[status(thm)],[c_131,c_125]) ).
cnf(c_7565,plain,
( ~ equidistant(v,X0,x,X1)
| ~ equidistant(w,X0,u,X1)
| ~ colinear(v,w,X0)
| colinear(x,u,X1) ),
inference(superposition,[status(thm)],[c_132,c_125]) ).
cnf(c_7566,plain,
( ~ equidistant(u,X0,v,X1)
| ~ equidistant(w,X0,x,X1)
| ~ colinear(u,w,X0)
| colinear(v,x,X1) ),
inference(superposition,[status(thm)],[c_133,c_125]) ).
cnf(c_7567,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X2,X1,X0,X3)
| ~ colinear(X0,X2,X1)
| colinear(X2,X0,X3) ),
inference(superposition,[status(thm)],[c_145,c_125]) ).
cnf(c_7580,plain,
( ~ equidistant(u,X0,w,X1)
| ~ equidistant(v,X0,x,X1)
| ~ between(u,v,X0)
| between(w,x,X1) ),
inference(superposition,[status(thm)],[c_131,c_104]) ).
cnf(c_7583,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X2,X1,X0,X3)
| ~ between(X0,X2,X1)
| between(X2,X0,X3) ),
inference(superposition,[status(thm)],[c_145,c_104]) ).
cnf(c_7828,plain,
( between(u,w,v)
| between(v,u,w)
| between(w,v,u) ),
inference(superposition,[status(thm)],[c_7142,c_144]) ).
cnf(c_7925,plain,
( ~ equidistant(w,u,X0,X1)
| equidistant(x,v,X0,X1) ),
inference(superposition,[status(thm)],[c_7214,c_57]) ).
cnf(c_7973,plain,
( ~ equidistant(w,v,X0,X1)
| equidistant(u,x,X0,X1) ),
inference(superposition,[status(thm)],[c_7213,c_57]) ).
cnf(c_8041,plain,
( ~ equidistant(x,w,X0,X1)
| equidistant(v,u,X0,X1) ),
inference(superposition,[status(thm)],[c_7212,c_146]) ).
cnf(c_8186,plain,
( ~ equidistant(w,X0,v,X1)
| ~ equidistant(x,X0,u,X1)
| ~ between(x,w,X0)
| between(u,v,X1) ),
inference(superposition,[status(thm)],[c_7222,c_104]) ).
cnf(c_8309,plain,
( ~ equidistant(v,X0,w,X1)
| ~ equidistant(x,X0,u,X1)
| ~ between(v,x,X0)
| between(w,u,X1) ),
inference(superposition,[status(thm)],[c_7234,c_104]) ).
cnf(c_8411,plain,
( ~ equidistant(w,X0,v,X1)
| ~ equidistant(x,X0,u,X1)
| ~ between(w,x,X0)
| between(v,u,X1) ),
inference(superposition,[status(thm)],[c_7232,c_104]) ).
cnf(c_8469,plain,
( ~ equidistant(v,X0,x,X1)
| ~ equidistant(w,X0,u,X1)
| ~ between(w,v,X0)
| between(u,x,X1) ),
inference(superposition,[status(thm)],[c_7243,c_104]) ).
cnf(c_8602,plain,
( ~ equidistant(v,X0,u,X1)
| ~ equidistant(w,X0,x,X1)
| ~ between(v,w,X0)
| between(u,x,X1) ),
inference(superposition,[status(thm)],[c_7253,c_104]) ).
cnf(c_8664,plain,
( ~ equidistant(u,X0,x,X1)
| ~ equidistant(w,X0,v,X1)
| ~ between(w,u,X0)
| between(v,x,X1) ),
inference(superposition,[status(thm)],[c_7264,c_104]) ).
cnf(c_8715,plain,
( ~ equidistant(u,X0,x,X1)
| ~ equidistant(v,X0,w,X1)
| ~ between(v,u,X0)
| between(w,x,X1) ),
inference(superposition,[status(thm)],[c_7262,c_104]) ).
cnf(c_8766,plain,
( ~ equidistant(u,X0,w,X1)
| ~ equidistant(x,X0,v,X1)
| ~ between(x,u,X0)
| between(v,w,X1) ),
inference(superposition,[status(thm)],[c_7273,c_104]) ).
cnf(c_8797,plain,
( ~ equidistant(w,X0,u,X1)
| ~ equidistant(x,X0,v,X1)
| ~ between(w,x,X0)
| between(u,v,X1) ),
inference(superposition,[status(thm)],[c_7272,c_104]) ).
cnf(c_8834,plain,
equidistant(v,x,x,v),
inference(superposition,[status(thm)],[c_7254,c_7335]) ).
cnf(c_8850,plain,
equidistant(w,x,x,w),
inference(superposition,[status(thm)],[c_7252,c_7333]) ).
cnf(c_8868,plain,
( ~ between(u,v,X0)
| u = v
| between(w,v,X0)
| between(u,v,w)
| between(v,w,u) ),
inference(superposition,[status(thm)],[c_7351,c_83]) ).
cnf(c_8874,plain,
( ~ between(w,v,X0)
| between(u,v,X0)
| between(u,v,w)
| between(v,w,u) ),
inference(superposition,[status(thm)],[c_7351,c_82]) ).
cnf(c_8876,plain,
( between(u,v,w)
| between(v,u,w)
| between(v,w,u) ),
inference(superposition,[status(thm)],[c_7351,c_75]) ).
cnf(c_9063,plain,
( ~ equidistant(u,v,w,x)
| ~ colinear(w,u,v)
| colinear(u,w,x) ),
inference(superposition,[status(thm)],[c_7243,c_7567]) ).
cnf(c_9066,plain,
( ~ equidistant(u,w,v,x)
| ~ colinear(v,u,w)
| colinear(u,v,x) ),
inference(superposition,[status(thm)],[c_7253,c_7567]) ).
cnf(c_9067,plain,
( ~ equidistant(x,w,u,v)
| ~ colinear(u,x,w)
| colinear(x,u,v) ),
inference(superposition,[status(thm)],[c_7254,c_7567]) ).
cnf(c_9069,plain,
( ~ equidistant(x,v,w,u)
| ~ colinear(w,x,v)
| colinear(x,w,u) ),
inference(superposition,[status(thm)],[c_7263,c_7567]) ).
cnf(c_9070,plain,
( ~ equidistant(v,u,w,x)
| ~ colinear(w,v,u)
| colinear(v,w,x) ),
inference(superposition,[status(thm)],[c_7264,c_7567]) ).
cnf(c_9072,plain,
( ~ equidistant(v,u,x,w)
| ~ colinear(x,v,u)
| colinear(v,x,w) ),
inference(superposition,[status(thm)],[c_7273,c_7567]) ).
cnf(c_9112,plain,
( ~ equidistant(w,x,x,w)
| ~ colinear(u,w,x)
| colinear(v,x,w) ),
inference(superposition,[status(thm)],[c_7223,c_7566]) ).
cnf(c_9123,plain,
( ~ equidistant(w,x,u,v)
| ~ colinear(v,w,x)
| colinear(x,u,v) ),
inference(superposition,[status(thm)],[c_145,c_7565]) ).
cnf(c_9136,plain,
( ~ equidistant(v,x,x,v)
| ~ colinear(u,v,x)
| colinear(w,x,v) ),
inference(superposition,[status(thm)],[c_7213,c_7564]) ).
cnf(c_9151,plain,
( ~ equidistant(w,v,u,x)
| ~ between(u,w,v)
| between(w,u,x) ),
inference(superposition,[status(thm)],[c_131,c_7583]) ).
cnf(c_9152,plain,
( ~ equidistant(x,w,v,u)
| ~ between(v,x,w)
| between(x,v,u) ),
inference(superposition,[status(thm)],[c_132,c_7583]) ).
cnf(c_9153,plain,
( ~ equidistant(v,w,u,x)
| ~ between(u,v,w)
| between(v,u,x) ),
inference(superposition,[status(thm)],[c_133,c_7583]) ).
cnf(c_9157,plain,
( ~ equidistant(w,v,x,u)
| ~ between(x,w,v)
| between(w,x,u) ),
inference(superposition,[status(thm)],[c_7214,c_7583]) ).
cnf(c_9160,plain,
( ~ equidistant(u,v,x,w)
| ~ between(x,u,v)
| between(u,x,w) ),
inference(superposition,[status(thm)],[c_7224,c_7583]) ).
cnf(c_9161,plain,
( ~ equidistant(v,x,w,u)
| ~ between(w,v,x)
| between(v,w,u) ),
inference(superposition,[status(thm)],[c_7232,c_7583]) ).
cnf(c_9162,plain,
( ~ equidistant(w,u,x,v)
| ~ between(x,w,u)
| between(w,x,v) ),
inference(superposition,[status(thm)],[c_7233,c_7583]) ).
cnf(c_9168,plain,
( ~ equidistant(u,w,v,x)
| ~ between(v,u,w)
| between(u,v,x) ),
inference(superposition,[status(thm)],[c_7253,c_7583]) ).
cnf(c_9170,plain,
( ~ equidistant(w,u,v,x)
| ~ between(v,w,u)
| between(w,v,x) ),
inference(superposition,[status(thm)],[c_7262,c_7583]) ).
cnf(c_9243,plain,
( ~ equidistant(v,x,x,v)
| ~ between(u,v,x)
| between(w,x,v) ),
inference(superposition,[status(thm)],[c_7213,c_7580]) ).
cnf(c_10386,plain,
( ~ between(w,X0,u)
| between(X0,v,u)
| between(v,X0,u)
| between(u,w,v)
| between(v,u,w) ),
inference(superposition,[status(thm)],[c_7828,c_109]) ).
cnf(c_10796,plain,
equidistant(x,v,v,x),
inference(superposition,[status(thm)],[c_7264,c_7925]) ).
cnf(c_11065,plain,
equidistant(u,x,x,u),
inference(superposition,[status(thm)],[c_7263,c_7973]) ).
cnf(c_11346,plain,
equidistant(v,u,u,v),
inference(superposition,[status(thm)],[c_7222,c_8041]) ).
cnf(c_12240,plain,
( ~ equidistant(w,u,v,x)
| ~ between(x,w,u)
| between(u,v,x) ),
inference(superposition,[status(thm)],[c_145,c_8186]) ).
cnf(c_12501,plain,
( ~ equidistant(v,u,w,x)
| ~ between(v,x,u)
| between(w,u,x) ),
inference(superposition,[status(thm)],[c_145,c_8309]) ).
cnf(c_13003,plain,
( ~ equidistant(w,u,v,x)
| ~ between(w,x,u)
| between(v,u,x) ),
inference(superposition,[status(thm)],[c_145,c_8411]) ).
cnf(c_13461,plain,
( ~ equidistant(w,x,u,v)
| ~ between(w,v,x)
| between(u,x,v) ),
inference(superposition,[status(thm)],[c_145,c_8469]) ).
cnf(c_14383,plain,
( ~ equidistant(v,u,u,v)
| ~ between(v,w,u)
| between(u,x,v) ),
inference(superposition,[status(thm)],[c_7244,c_8602]) ).
cnf(c_14900,plain,
( ~ equidistant(u,x,x,u)
| ~ between(w,u,x)
| between(v,x,u) ),
inference(superposition,[status(thm)],[c_7232,c_8664]) ).
cnf(c_15377,plain,
( ~ equidistant(u,w,x,v)
| ~ between(v,u,w)
| between(w,x,v) ),
inference(superposition,[status(thm)],[c_145,c_8715]) ).
cnf(c_15894,plain,
( ~ equidistant(x,v,v,x)
| ~ between(x,u,v)
| between(v,w,x) ),
inference(superposition,[status(thm)],[c_131,c_8766]) ).
cnf(c_16142,plain,
( ~ equidistant(x,v,v,x)
| ~ between(w,x,v)
| between(u,v,x) ),
inference(superposition,[status(thm)],[c_7243,c_8797]) ).
cnf(c_16405,plain,
( ~ between(v,X0,u)
| between(X0,w,u)
| between(w,X0,u)
| between(u,v,w)
| between(v,u,w) ),
inference(superposition,[status(thm)],[c_8876,c_109]) ).
cnf(c_16529,plain,
( ~ between(u,v,X0)
| between(w,v,X0)
| between(u,v,w)
| between(v,w,u) ),
inference(global_subsumption_just,[status(thm)],[c_8868,c_5824]) ).
cnf(c_16646,plain,
colinear(v,x,w),
inference(global_subsumption_just,[status(thm)],[c_9072,c_131,c_3581,c_8850,c_9063,c_9112]) ).
cnf(c_16653,plain,
( between(v,x,w)
| between(w,v,x)
| between(x,w,v) ),
inference(superposition,[status(thm)],[c_16646,c_144]) ).
cnf(c_16666,plain,
colinear(x,w,u),
inference(global_subsumption_just,[status(thm)],[c_9069,c_133,c_3573,c_7214,c_8834,c_9069,c_9066,c_9136]) ).
cnf(c_16673,plain,
( between(u,x,w)
| between(w,u,x)
| between(x,w,u) ),
inference(superposition,[status(thm)],[c_16666,c_144]) ).
cnf(c_16688,plain,
colinear(x,u,v),
inference(global_subsumption_just,[status(thm)],[c_9067,c_3605,c_7262,c_7272,c_9070,c_9123]) ).
cnf(c_16695,plain,
( between(u,v,x)
| between(v,x,u)
| between(x,u,v) ),
inference(superposition,[status(thm)],[c_16688,c_144]) ).
cnf(c_16837,plain,
( ~ between(v,w,u)
| between(w,v,x) ),
inference(global_subsumption_just,[status(thm)],[c_9170,c_7264,c_9170]) ).
cnf(c_16843,plain,
( between(u,v,w)
| between(v,u,w)
| between(w,v,x) ),
inference(superposition,[status(thm)],[c_8876,c_16837]) ).
cnf(c_16850,plain,
( ~ between(v,u,w)
| between(u,v,x) ),
inference(global_subsumption_just,[status(thm)],[c_9168,c_133,c_9168]) ).
cnf(c_16887,plain,
( ~ between(x,w,u)
| between(w,x,v) ),
inference(global_subsumption_just,[status(thm)],[c_9162,c_7244,c_9162]) ).
cnf(c_16899,plain,
( ~ between(x,u,v)
| between(u,x,w) ),
inference(global_subsumption_just,[status(thm)],[c_9160,c_7252,c_9160]) ).
cnf(c_16917,plain,
( ~ between(x,w,v)
| between(w,x,u) ),
inference(global_subsumption_just,[status(thm)],[c_9157,c_7263,c_9157]) ).
cnf(c_16935,plain,
( ~ between(u,v,w)
| between(v,u,x) ),
inference(global_subsumption_just,[status(thm)],[c_9153,c_7253,c_9153]) ).
cnf(c_16975,plain,
( ~ between(u,w,v)
| between(w,u,x) ),
inference(global_subsumption_just,[status(thm)],[c_9151,c_7243,c_9151]) ).
cnf(c_24471,plain,
( ~ between(x,w,u)
| between(u,v,x) ),
inference(global_subsumption_just,[status(thm)],[c_12240,c_7264,c_12240]) ).
cnf(c_27930,plain,
( ~ between(w,v,x)
| between(u,x,v) ),
inference(global_subsumption_just,[status(thm)],[c_13461,c_7272,c_13461]) ).
cnf(c_32737,plain,
( ~ between(v,u,w)
| between(w,x,v) ),
inference(global_subsumption_just,[status(thm)],[c_15377,c_7254,c_15377]) ).
cnf(c_34106,plain,
( ~ between(x,u,v)
| between(v,w,x) ),
inference(global_subsumption_just,[status(thm)],[c_15894,c_10796,c_15894]) ).
cnf(c_34766,plain,
( ~ between(w,x,v)
| between(u,v,x) ),
inference(global_subsumption_just,[status(thm)],[c_16142,c_10796,c_16142]) ).
cnf(c_35786,plain,
( between(v,x,w)
| between(w,v,x)
| between(w,x,u) ),
inference(superposition,[status(thm)],[c_16653,c_16917]) ).
cnf(c_36066,plain,
( between(u,x,w)
| between(w,u,x)
| between(w,x,v) ),
inference(superposition,[status(thm)],[c_16673,c_16887]) ).
cnf(c_36301,plain,
( ~ between(u,x,v)
| u = x
| between(u,v,x)
| between(v,x,u) ),
inference(superposition,[status(thm)],[c_16695,c_77]) ).
cnf(c_36302,plain,
( ~ between(x,v,u)
| u = v
| between(u,v,x)
| between(v,x,u) ),
inference(superposition,[status(thm)],[c_16695,c_78]) ).
cnf(c_36313,plain,
( between(u,v,x)
| between(v,w,x)
| between(v,x,u) ),
inference(superposition,[status(thm)],[c_16695,c_34106]) ).
cnf(c_36315,plain,
( between(u,v,x)
| between(u,x,w)
| between(v,x,u) ),
inference(superposition,[status(thm)],[c_16695,c_16899]) ).
cnf(c_36536,plain,
( between(u,v,w)
| between(u,v,x)
| between(v,u,w)
| between(v,w,u) ),
inference(superposition,[status(thm)],[c_16843,c_8874]) ).
cnf(c_38522,plain,
( between(u,w,v)
| between(v,u,w)
| between(v,x,u)
| between(v,x,w)
| between(w,v,x)
| between(x,v,u) ),
inference(superposition,[status(thm)],[c_35786,c_10386]) ).
cnf(c_39521,plain,
( between(w,u,x)
| between(w,x,v) ),
inference(global_subsumption_just,[status(thm)],[c_36066,c_137,c_136,c_7212,c_7262,c_8834,c_9152,c_9243,c_12501,c_16975,c_27930,c_32737,c_36302,c_36301,c_38522]) ).
cnf(c_39554,plain,
( between(u,v,x)
| between(w,u,x) ),
inference(superposition,[status(thm)],[c_39521,c_34766]) ).
cnf(c_40577,plain,
( between(u,v,x)
| between(v,x,u) ),
inference(global_subsumption_just,[status(thm)],[c_36315,c_11065,c_14900,c_39554]) ).
cnf(c_40594,plain,
( ~ between(v,u,x)
| u = x
| between(u,v,x) ),
inference(superposition,[status(thm)],[c_40577,c_78]) ).
cnf(c_40606,plain,
( between(u,v,w)
| between(u,v,x)
| between(v,u,w)
| between(w,x,u)
| between(x,w,u) ),
inference(superposition,[status(thm)],[c_40577,c_16405]) ).
cnf(c_40624,plain,
between(u,v,x),
inference(global_subsumption_just,[status(thm)],[c_36313,c_137,c_7264,c_13003,c_16850,c_16935,c_24471,c_40594,c_40606]) ).
cnf(c_40636,plain,
( ~ between(v,u,x)
| u = v ),
inference(superposition,[status(thm)],[c_40624,c_77]) ).
cnf(c_40637,plain,
( ~ between(u,x,v)
| v = x ),
inference(superposition,[status(thm)],[c_40624,c_78]) ).
cnf(c_40647,plain,
( between(u,v,w)
| between(v,w,u)
| between(w,v,x) ),
inference(superposition,[status(thm)],[c_40624,c_16529]) ).
cnf(c_41088,plain,
between(v,w,u),
inference(global_subsumption_just,[status(thm)],[c_36536,c_136,c_7234,c_9161,c_16935,c_40636,c_40647]) ).
cnf(c_53043,plain,
colinear(y,x,v),
inference(superposition,[status(thm)],[c_135,c_143]) ).
cnf(c_53177,plain,
( ~ between(v,x,y)
| x = y ),
inference(superposition,[status(thm)],[c_135,c_78]) ).
cnf(c_53355,plain,
( ~ between(X0,y,x)
| x = y
| between(X0,v,y)
| between(v,X0,y) ),
inference(superposition,[status(thm)],[c_135,c_107]) ).
cnf(c_53459,plain,
( ~ colinear(y,x,X0)
| x = y
| colinear(x,v,X0) ),
inference(superposition,[status(thm)],[c_53043,c_127]) ).
cnf(c_53461,plain,
( ~ colinear(X0,x,v)
| v = x
| colinear(X0,y,x) ),
inference(superposition,[status(thm)],[c_53043,c_129]) ).
cnf(c_54330,plain,
( x = y
| between(v,v,y) ),
inference(superposition,[status(thm)],[c_135,c_53355]) ).
cnf(c_54432,plain,
v = x,
inference(global_subsumption_just,[status(thm)],[c_53461,c_11346,c_14383,c_40637,c_41088]) ).
cnf(c_54442,plain,
( ~ between(v,v,y)
| x = y ),
inference(superposition,[status(thm)],[c_54432,c_53177]) ).
cnf(c_54479,plain,
x = y,
inference(global_subsumption_just,[status(thm)],[c_53459,c_54330,c_54442]) ).
cnf(c_54481,plain,
v = y,
inference(light_normalisation,[status(thm)],[c_54479,c_54432]) ).
cnf(c_54512,plain,
between(u,v,w),
inference(superposition,[status(thm)],[c_54481,c_134]) ).
cnf(c_54514,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_54512,c_40636,c_16935,c_136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO070-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 29 22:09:21 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 17.62/3.14 % SZS status Started for theBenchmark.p
% 17.62/3.14 % SZS status Unsatisfiable for theBenchmark.p
% 17.62/3.14
% 17.62/3.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 17.62/3.14
% 17.62/3.14 ------ iProver source info
% 17.62/3.14
% 17.62/3.14 git: date: 2023-05-31 18:12:56 +0000
% 17.62/3.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 17.62/3.14 git: non_committed_changes: false
% 17.62/3.14 git: last_make_outside_of_git: false
% 17.62/3.14
% 17.62/3.14 ------ Parsing...successful
% 17.62/3.14
% 17.62/3.14
% 17.62/3.14
% 17.62/3.14 ------ 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
% 17.62/3.14
% 17.62/3.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 17.62/3.14
% 17.62/3.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 17.62/3.14 ------ Proving...
% 17.62/3.14 ------ Problem Properties
% 17.62/3.14
% 17.62/3.14
% 17.62/3.14 clauses 106
% 17.62/3.14 conjectures 1
% 17.62/3.14 EPR 78
% 17.62/3.14 Horn 82
% 17.62/3.14 unary 35
% 17.62/3.14 binary 26
% 17.62/3.14 lits 279
% 17.62/3.14 lits eq 46
% 17.62/3.14 fd_pure 0
% 17.62/3.14 fd_pseudo 0
% 17.62/3.14 fd_cond 0
% 17.62/3.14 fd_pseudo_cond 26
% 17.62/3.14 AC symbols 0
% 17.62/3.14
% 17.62/3.14 ------ Input Options Time Limit: Unbounded
% 17.62/3.14
% 17.62/3.14
% 17.62/3.14 ------
% 17.62/3.14 Current options:
% 17.62/3.14 ------
% 17.62/3.14
% 17.62/3.14
% 17.62/3.14
% 17.62/3.14
% 17.62/3.14 ------ Proving...
% 17.62/3.14
% 17.62/3.14
% 17.62/3.14 ------ Proving...
% 17.62/3.14
% 17.62/3.14
% 17.62/3.14 ------ Proving...
% 17.62/3.14
% 17.62/3.14
% 17.62/3.14 ------ Proving...
% 17.62/3.14
% 17.62/3.14
% 17.62/3.14 % SZS status Unsatisfiable for theBenchmark.p
% 17.62/3.14
% 17.62/3.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.62/3.14
% 17.62/3.15
%------------------------------------------------------------------------------