TSTP Solution File: GEO070-3 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO070-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 : Fri May 3 02:16:18 EDT 2024
% Result : Unsatisfiable 196.64s 26.75s
% Output : CNFRefutation 196.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 39
% Syntax : Number of clauses : 211 ( 58 unt; 52 nHn; 202 RR)
% Number of literals : 602 ( 106 equ; 309 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 : 252 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,plain,
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2) ).
cnf(c_51,plain,
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X1,X0,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3) ).
cnf(c_52,plain,
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_1) ).
cnf(c_53,plain,
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X1,X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_2) ).
cnf(c_57,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X2,X3,X4,X5)
| equidistant(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5) ).
cnf(c_65,plain,
equidistant(X0,X0,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7) ).
cnf(c_73,plain,
between(X0,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3) ).
cnf(c_74,plain,
( X0 != X1
| ~ between(X0,X2,X1)
| between(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b1) ).
cnf(c_75,plain,
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).
cnf(c_76,plain,
between(X0,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2) ).
cnf(c_77,plain,
( ~ between(X0,X1,X2)
| ~ between(X1,X0,X2)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b2) ).
cnf(c_78,plain,
( ~ between(X0,X1,X2)
| ~ between(X0,X2,X1)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b3) ).
cnf(c_82,plain,
( ~ between(X0,X1,X2)
| ~ between(X0,X2,X3)
| between(X1,X2,X3) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',b7) ).
cnf(c_86,plain,
( ~ between(X0,X1,X2)
| ~ between(X0,X2,X3)
| between(X0,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b9) ).
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/sandbox/benchmark/theBenchmark.p',b11) ).
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/sandbox/benchmark/theBenchmark.p',b13) ).
cnf(c_110,plain,
( ~ between(X0,X1,X2)
| ~ between(X0,X3,X2)
| ~ between(X1,X4,X3)
| between(X0,X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8) ).
cnf(c_112,plain,
( ~ between(X0,X1,X2)
| colinear(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2_1) ).
cnf(c_114,plain,
( ~ between(X0,X1,X2)
| colinear(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2_3) ).
cnf(c_115,plain,
( ~ colinear(X0,X1,X2)
| colinear(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_1) ).
cnf(c_116,plain,
( ~ colinear(X0,X1,X2)
| colinear(X1,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_2) ).
cnf(c_117,plain,
( ~ colinear(X0,X1,X2)
| colinear(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_3) ).
cnf(c_119,plain,
( ~ colinear(X0,X1,X2)
| colinear(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_5) ).
cnf(c_129,plain,
( ~ colinear(X0,X1,X2)
| ~ colinear(X3,X1,X2)
| X1 = X2
| colinear(X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c5_2) ).
cnf(c_130,plain,
( ~ colinear(X0,X1,X2)
| ~ colinear(X0,X1,X3)
| ~ colinear(X0,X1,X4)
| X0 = X1
| colinear(X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13) ).
cnf(c_131,plain,
equidistant(u,v,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_v_equals_w_to_x) ).
cnf(c_132,plain,
equidistant(v,w,x,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_to_w_equals_x_to_u) ).
cnf(c_133,plain,
equidistant(u,w,v,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_w_equals_v_to_x) ).
cnf(c_134,plain,
between(u,y,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',y_between_u_and_w) ).
cnf(c_135,plain,
between(v,y,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',y_between_v_and_x) ).
cnf(c_136,plain,
u != v,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_not_v) ).
cnf(c_137,plain,
u != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_not_u) ).
cnf(c_138,negated_conjecture,
colinear(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_uvw_not_colinear) ).
cnf(c_144,plain,
( ~ colinear(X0,X1,X2)
| between(X0,X1,X2)
| between(X1,X2,X0)
| between(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-1.ax',colinearity4) ).
cnf(c_151,plain,
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).
cnf(c_166,plain,
( ~ between(X0,X1,X0)
| between(X2,X1,X0) ),
inference(unflattening,[status(thm)],[c_74]) ).
cnf(c_1340,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_1343,plain,
( X0 != X1
| X2 != X3
| X4 != X5
| ~ between(X1,X3,X5)
| between(X0,X2,X4) ),
theory(equality) ).
cnf(c_2595,plain,
colinear(v,w,u),
inference(superposition,[status(thm)],[c_138,c_116]) ).
cnf(c_2597,plain,
colinear(w,u,v),
inference(superposition,[status(thm)],[c_2595,c_116]) ).
cnf(c_2598,plain,
colinear(u,w,v),
inference(superposition,[status(thm)],[c_2595,c_115]) ).
cnf(c_2639,plain,
( between(u,v,w)
| between(v,w,u)
| between(w,u,v) ),
inference(superposition,[status(thm)],[c_2597,c_144]) ).
cnf(c_2675,plain,
colinear(v,w,u),
inference(superposition,[status(thm)],[c_138,c_116]) ).
cnf(c_2677,plain,
colinear(w,u,v),
inference(superposition,[status(thm)],[c_2675,c_116]) ).
cnf(c_2678,plain,
colinear(u,w,v),
inference(superposition,[status(thm)],[c_2675,c_115]) ).
cnf(c_2726,plain,
( ~ between(X0,X1,X2)
| between(X1,X1,X2) ),
inference(superposition,[status(thm)],[c_73,c_82]) ).
cnf(c_2752,plain,
( ~ between(X0,X1,X2)
| between(X0,X0,X2) ),
inference(superposition,[status(thm)],[c_76,c_86]) ).
cnf(c_2764,plain,
( between(u,v,w)
| between(v,w,u)
| between(w,u,v) ),
inference(superposition,[status(thm)],[c_2677,c_144]) ).
cnf(c_2765,plain,
( between(u,w,v)
| between(v,u,w)
| between(w,v,u) ),
inference(superposition,[status(thm)],[c_2678,c_144]) ).
cnf(c_2796,plain,
( between(u,v,w)
| between(v,u,w)
| between(v,w,u) ),
inference(superposition,[status(thm)],[c_2764,c_75]) ).
cnf(c_2813,plain,
( ~ between(w,u,v)
| u = v
| between(u,w,v)
| between(v,u,w) ),
inference(superposition,[status(thm)],[c_2765,c_78]) ).
cnf(c_2829,plain,
( ~ between(u,v,u)
| u = v ),
inference(instantiation,[status(thm)],[c_151]) ).
cnf(c_2831,plain,
( u != X0
| v != X0
| u = v ),
inference(instantiation,[status(thm)],[c_1340]) ).
cnf(c_2839,plain,
( ~ between(X0,u,v)
| ~ between(X0,v,u)
| u = v ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_2841,plain,
( ~ between(X0,u,x)
| ~ between(X0,x,u)
| u = x ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_2849,plain,
( ~ between(X0,v,u)
| ~ between(u,X0,v)
| X0 = v
| between(u,v,u) ),
inference(instantiation,[status(thm)],[c_83]) ).
cnf(c_2991,plain,
( ~ between(X0,v,X1)
| ~ between(v,X0,X1)
| v = X0 ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_2992,plain,
( ~ between(v,X0,v)
| v = X0 ),
inference(instantiation,[status(thm)],[c_151]) ).
cnf(c_3029,plain,
between(v,u,u),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_3030,plain,
( ~ between(X0,u,X1)
| ~ between(v,X0,u)
| X0 = u
| between(v,u,X1) ),
inference(instantiation,[status(thm)],[c_83]) ).
cnf(c_3046,plain,
( X0 != X1
| u != X2
| v != X3
| ~ between(X3,X2,X1)
| between(v,u,X0) ),
inference(instantiation,[status(thm)],[c_1343]) ).
cnf(c_3099,plain,
between(x,u,u),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_3100,plain,
( ~ between(X0,u,X1)
| ~ between(x,X0,u)
| X0 = u
| between(x,u,X1) ),
inference(instantiation,[status(thm)],[c_83]) ).
cnf(c_3156,plain,
( ~ colinear(X0,v,w)
| v = w
| colinear(X0,u,v) ),
inference(superposition,[status(thm)],[c_138,c_129]) ).
cnf(c_3181,plain,
( ~ between(v,u,v)
| ~ between(v,v,u)
| u = v ),
inference(instantiation,[status(thm)],[c_2839]) ).
cnf(c_3182,plain,
between(v,v,u),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_3286,plain,
( ~ between(x,u,x)
| ~ between(x,x,u)
| u = x ),
inference(instantiation,[status(thm)],[c_2841]) ).
cnf(c_3287,plain,
between(x,x,u),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_3327,plain,
( v = w
| colinear(u,u,v) ),
inference(superposition,[status(thm)],[c_138,c_3156]) ).
cnf(c_3333,plain,
( v = w
| between(u,u,v)
| between(u,v,u)
| between(v,u,u) ),
inference(superposition,[status(thm)],[c_3327,c_144]) ).
cnf(c_3377,plain,
colinear(w,v,u),
inference(resolution,[status(thm)],[c_115,c_138]) ).
cnf(c_3575,plain,
( between(u,v,w)
| between(v,w,u)
| between(w,u,v) ),
inference(resolution,[status(thm)],[c_144,c_138]) ).
cnf(c_3576,plain,
( between(u,w,v)
| between(v,u,w)
| between(w,v,u) ),
inference(resolution,[status(thm)],[c_144,c_3377]) ).
cnf(c_3864,plain,
( ~ between(w,u,v)
| u = v
| between(u,w,v)
| between(v,u,w) ),
inference(resolution,[status(thm)],[c_3576,c_78]) ).
cnf(c_3981,plain,
( ~ between(w,u,v)
| between(u,w,v)
| between(v,u,w) ),
inference(global_subsumption_just,[status(thm)],[c_3864,c_136,c_2813]) ).
cnf(c_4143,plain,
( ~ between(X0,x,u)
| between(u,x,X0) ),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_4211,plain,
( ~ between(x,u,X0)
| between(X0,u,x) ),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_4396,plain,
( ~ between(v,v,v)
| v = v ),
inference(instantiation,[status(thm)],[c_2992]) ).
cnf(c_4397,plain,
between(v,v,v),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_4410,plain,
( X0 != X1
| v != X2
| v != X3
| ~ between(X2,X1,X3)
| between(v,X0,v) ),
inference(instantiation,[status(thm)],[c_1343]) ).
cnf(c_4834,plain,
( ~ between(v,X0,u)
| between(u,X0,v) ),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_5137,plain,
between(v,u,u),
inference(global_subsumption_just,[status(thm)],[c_3333,c_3029]) ).
cnf(c_5147,plain,
between(v,v,u),
inference(superposition,[status(thm)],[c_5137,c_2752]) ).
cnf(c_5150,plain,
between(u,u,u),
inference(superposition,[status(thm)],[c_5137,c_2726]) ).
cnf(c_5423,plain,
colinear(u,v,v),
inference(superposition,[status(thm)],[c_5147,c_112]) ).
cnf(c_5470,plain,
between(X0,u,u),
inference(superposition,[status(thm)],[c_5150,c_166]) ).
cnf(c_5838,plain,
( ~ between(X0,u,x)
| colinear(u,X0,x) ),
inference(instantiation,[status(thm)],[c_114]) ).
cnf(c_6802,plain,
( ~ colinear(u,X0,X1)
| ~ colinear(x,X0,X1)
| X0 = X1
| colinear(x,u,X0) ),
inference(instantiation,[status(thm)],[c_129]) ).
cnf(c_7103,plain,
( ~ between(X0,X1,u)
| between(u,X1,X0) ),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_7781,plain,
( ~ between(u,X0,v)
| between(v,X0,u) ),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_7789,plain,
( X0 != X1
| u != X2
| v != X3
| ~ between(X3,X1,X2)
| between(v,X0,u) ),
inference(instantiation,[status(thm)],[c_1343]) ).
cnf(c_8425,plain,
( ~ between(X0,X1,X2)
| ~ between(x,X0,u)
| ~ between(x,X2,u)
| between(x,X1,u) ),
inference(instantiation,[status(thm)],[c_110]) ).
cnf(c_8623,plain,
( u != u
| v != u
| u = v ),
inference(instantiation,[status(thm)],[c_2831]) ).
cnf(c_9342,plain,
( ~ colinear(u,X0,X1)
| between(X0,X1,u)
| between(X1,u,X0)
| between(u,X0,X1) ),
inference(instantiation,[status(thm)],[c_144]) ).
cnf(c_9826,plain,
( X0 != X1
| u != X2
| v != v
| ~ between(v,X2,X1)
| between(v,u,X0) ),
inference(instantiation,[status(thm)],[c_3046]) ).
cnf(c_10229,plain,
( ~ between(X0,u,u)
| u = u ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_10875,plain,
( ~ between(v,x,u)
| between(u,x,v) ),
inference(instantiation,[status(thm)],[c_4143]) ).
cnf(c_11946,plain,
( ~ between(X0,u,v)
| ~ between(v,X0,u)
| X0 = u
| between(v,u,v) ),
inference(instantiation,[status(thm)],[c_3030]) ).
cnf(c_11948,plain,
( ~ between(X0,u,x)
| ~ between(x,X0,u)
| X0 = u
| between(x,u,x) ),
inference(instantiation,[status(thm)],[c_3100]) ).
cnf(c_15230,plain,
( ~ between(X0,v,X1)
| ~ between(x,X0,u)
| ~ between(x,X1,u)
| between(x,v,u) ),
inference(instantiation,[status(thm)],[c_8425]) ).
cnf(c_16772,plain,
( X0 != X1
| v != X2
| v != v
| ~ between(X2,X1,v)
| between(v,X0,v) ),
inference(instantiation,[status(thm)],[c_4410]) ).
cnf(c_17662,plain,
( X0 != X1
| u != X2
| v != v
| ~ between(v,X1,X2)
| between(v,X0,u) ),
inference(instantiation,[status(thm)],[c_7789]) ).
cnf(c_17765,plain,
( ~ colinear(x,X0,X1)
| colinear(x,X1,X0) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_22621,plain,
( ~ between(v,u,x)
| ~ between(x,v,u)
| v = u
| between(x,u,x) ),
inference(instantiation,[status(thm)],[c_11948]) ).
cnf(c_25493,plain,
( ~ between(v,u,x)
| colinear(u,v,x) ),
inference(instantiation,[status(thm)],[c_5838]) ).
cnf(c_25650,plain,
( ~ between(w,u,X0)
| w = u
| between(u,X0,v)
| between(u,v,X0)
| between(u,v,w)
| between(v,w,u) ),
inference(resolution,[status(thm)],[c_106,c_3575]) ).
cnf(c_32624,plain,
( ~ colinear(x,v,X0)
| colinear(x,X0,v) ),
inference(instantiation,[status(thm)],[c_17765]) ).
cnf(c_37399,plain,
( X0 != X1
| v != v
| ~ between(v,X1,v)
| between(v,X0,v) ),
inference(instantiation,[status(thm)],[c_16772]) ).
cnf(c_56510,plain,
( X0 != v
| v != v
| ~ between(v,v,v)
| between(v,X0,v) ),
inference(instantiation,[status(thm)],[c_37399]) ).
cnf(c_69125,plain,
( X0 != X1
| u != u
| v != v
| ~ between(v,u,X1)
| between(v,u,X0) ),
inference(instantiation,[status(thm)],[c_9826]) ).
cnf(c_70209,plain,
( X0 != X1
| u != u
| v != v
| ~ between(v,X1,u)
| between(v,X0,u) ),
inference(instantiation,[status(thm)],[c_17662]) ).
cnf(c_70805,plain,
( ~ colinear(u,X0,v)
| ~ colinear(x,X0,v)
| X0 = v
| colinear(x,u,X0) ),
inference(instantiation,[status(thm)],[c_6802]) ).
cnf(c_74870,plain,
( ~ between(u,v,w)
| ~ between(x,u,u)
| ~ between(x,w,u)
| between(x,v,u) ),
inference(instantiation,[status(thm)],[c_15230]) ).
cnf(c_74885,plain,
( ~ between(u,v,w)
| ~ between(v,u,w)
| v = u ),
inference(instantiation,[status(thm)],[c_2991]) ).
cnf(c_88601,plain,
( X0 != u
| u != u
| v != v
| ~ between(v,u,u)
| between(v,u,X0) ),
inference(instantiation,[status(thm)],[c_69125]) ).
cnf(c_89079,plain,
( X0 != u
| u != u
| v != v
| ~ between(v,u,u)
| between(v,X0,u) ),
inference(instantiation,[status(thm)],[c_70209]) ).
cnf(c_89510,plain,
( ~ colinear(u,w,v)
| ~ colinear(x,w,v)
| w = v
| colinear(x,u,w) ),
inference(instantiation,[status(thm)],[c_70805]) ).
cnf(c_97119,plain,
( ~ colinear(X0,X1,X2)
| ~ colinear(X0,X1,v)
| ~ colinear(X0,X1,w)
| X0 = X1
| colinear(X2,v,w) ),
inference(instantiation,[status(thm)],[c_130]) ).
cnf(c_101853,plain,
( ~ between(u,w,v)
| between(v,w,u) ),
inference(instantiation,[status(thm)],[c_7781]) ).
cnf(c_102485,plain,
( ~ between(v,w,u)
| ~ between(w,u,v)
| w = u
| between(v,u,v) ),
inference(instantiation,[status(thm)],[c_11946]) ).
cnf(c_102498,plain,
( ~ between(v,w,u)
| between(u,w,v) ),
inference(instantiation,[status(thm)],[c_4834]) ).
cnf(c_103023,plain,
( v != v
| w != v
| ~ between(v,v,v)
| between(v,w,v) ),
inference(instantiation,[status(thm)],[c_56510]) ).
cnf(c_105008,plain,
( ~ colinear(x,v,w)
| colinear(x,w,v) ),
inference(instantiation,[status(thm)],[c_32624]) ).
cnf(c_107016,plain,
( ~ colinear(u,X0,w)
| between(X0,w,u)
| between(u,X0,w)
| between(w,u,X0) ),
inference(instantiation,[status(thm)],[c_9342]) ).
cnf(c_107025,plain,
( ~ between(X0,w,u)
| between(u,w,X0) ),
inference(instantiation,[status(thm)],[c_7103]) ).
cnf(c_108864,plain,
( ~ colinear(X0,X1,v)
| ~ colinear(X0,X1,w)
| ~ colinear(X0,X1,x)
| X0 = X1
| colinear(x,v,w) ),
inference(instantiation,[status(thm)],[c_97119]) ).
cnf(c_109833,plain,
( ~ between(u,w,v)
| ~ between(w,v,u)
| w = v
| between(u,v,u) ),
inference(instantiation,[status(thm)],[c_2849]) ).
cnf(c_129768,plain,
( u != u
| v != v
| w != u
| ~ between(v,u,u)
| between(v,w,u) ),
inference(instantiation,[status(thm)],[c_89079]) ).
cnf(c_129772,plain,
( u != u
| v != v
| w != u
| ~ between(v,u,u)
| between(v,u,w) ),
inference(instantiation,[status(thm)],[c_88601]) ).
cnf(c_137277,plain,
( ~ colinear(u,v,v)
| ~ colinear(u,v,w)
| ~ colinear(u,v,x)
| u = v
| colinear(x,v,w) ),
inference(instantiation,[status(thm)],[c_108864]) ).
cnf(c_145233,plain,
( ~ colinear(u,x,w)
| between(u,x,w)
| between(w,u,x)
| between(x,w,u) ),
inference(instantiation,[status(thm)],[c_107016]) ).
cnf(c_152608,plain,
( ~ between(x,u,w)
| between(w,u,x) ),
inference(instantiation,[status(thm)],[c_4211]) ).
cnf(c_190888,plain,
colinear(v,w,u),
inference(superposition,[status(thm)],[c_138,c_116]) ).
cnf(c_190890,plain,
colinear(w,u,v),
inference(superposition,[status(thm)],[c_190888,c_116]) ).
cnf(c_190891,plain,
colinear(u,w,v),
inference(superposition,[status(thm)],[c_190888,c_115]) ).
cnf(c_190940,plain,
equidistant(w,x,u,v),
inference(superposition,[status(thm)],[c_131,c_50]) ).
cnf(c_190941,plain,
equidistant(x,u,v,w),
inference(superposition,[status(thm)],[c_132,c_50]) ).
cnf(c_190942,plain,
equidistant(v,x,u,w),
inference(superposition,[status(thm)],[c_133,c_50]) ).
cnf(c_190949,plain,
equidistant(v,u,w,x),
inference(superposition,[status(thm)],[c_131,c_51]) ).
cnf(c_190950,plain,
equidistant(w,v,x,u),
inference(superposition,[status(thm)],[c_132,c_51]) ).
cnf(c_190951,plain,
equidistant(w,u,v,x),
inference(superposition,[status(thm)],[c_133,c_51]) ).
cnf(c_190954,plain,
equidistant(u,x,v,w),
inference(superposition,[status(thm)],[c_190941,c_51]) ).
cnf(c_190955,plain,
equidistant(x,v,u,w),
inference(superposition,[status(thm)],[c_190942,c_51]) ).
cnf(c_190957,plain,
equidistant(w,x,v,u),
inference(superposition,[status(thm)],[c_190949,c_50]) ).
cnf(c_190960,plain,
equidistant(u,v,x,w),
inference(superposition,[status(thm)],[c_131,c_52]) ).
cnf(c_190961,plain,
equidistant(v,w,u,x),
inference(superposition,[status(thm)],[c_132,c_52]) ).
cnf(c_190962,plain,
equidistant(u,w,x,v),
inference(superposition,[status(thm)],[c_133,c_52]) ).
cnf(c_190965,plain,
equidistant(x,u,w,v),
inference(superposition,[status(thm)],[c_190941,c_52]) ).
cnf(c_190971,plain,
equidistant(w,v,u,x),
inference(superposition,[status(thm)],[c_132,c_53]) ).
cnf(c_190972,plain,
equidistant(w,u,x,v),
inference(superposition,[status(thm)],[c_133,c_53]) ).
cnf(c_190976,plain,
equidistant(x,v,w,u),
inference(superposition,[status(thm)],[c_190942,c_53]) ).
cnf(c_191146,plain,
( ~ equidistant(w,x,X0,X1)
| equidistant(u,v,X0,X1) ),
inference(superposition,[status(thm)],[c_131,c_57]) ).
cnf(c_191151,plain,
( ~ equidistant(v,w,X0,X1)
| equidistant(x,u,X0,X1) ),
inference(superposition,[status(thm)],[c_190941,c_57]) ).
cnf(c_191152,plain,
( ~ equidistant(u,w,X0,X1)
| equidistant(v,x,X0,X1) ),
inference(superposition,[status(thm)],[c_190942,c_57]) ).
cnf(c_191221,plain,
( between(u,v,w)
| between(v,w,u)
| between(w,u,v) ),
inference(superposition,[status(thm)],[c_190890,c_144]) ).
cnf(c_191222,plain,
( between(u,w,v)
| between(v,u,w)
| between(w,v,u) ),
inference(superposition,[status(thm)],[c_190891,c_144]) ).
cnf(c_191263,plain,
equidistant(u,v,v,u),
inference(superposition,[status(thm)],[c_190957,c_191146]) ).
cnf(c_191336,plain,
( ~ between(w,u,v)
| u = v
| between(u,w,v)
| between(v,u,w) ),
inference(superposition,[status(thm)],[c_191222,c_78]) ).
cnf(c_191593,plain,
( ~ equidistant(X0,X1,v,X2)
| ~ equidistant(X3,X1,u,X2)
| ~ equidistant(X0,X3,v,u)
| ~ between(X0,X3,X1)
| between(v,u,X2) ),
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_191659,plain,
( ~ equidistant(X0,X1,x,X2)
| ~ equidistant(X3,X1,u,X2)
| ~ equidistant(X0,X3,x,u)
| ~ between(X0,X3,X1)
| between(x,u,X2) ),
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_191835,plain,
( ~ between(w,u,X0)
| u = w
| between(u,X0,v)
| between(u,v,X0)
| between(u,v,w)
| between(v,w,u) ),
inference(superposition,[status(thm)],[c_191221,c_106]) ).
cnf(c_192208,plain,
( between(u,v,w)
| between(v,w,u)
| between(w,u,v) ),
inference(resolution,[status(thm)],[c_144,c_138]) ).
cnf(c_193374,plain,
( ~ equidistant(X0,X1,v,X2)
| ~ equidistant(X1,X3,X2,u)
| ~ equidistant(X0,X3,v,u)
| ~ between(X0,X1,X3)
| between(v,X2,u) ),
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_195591,plain,
equidistant(v,v,X0,X0),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_196410,plain,
equidistant(x,u,x,u),
inference(superposition,[status(thm)],[c_132,c_191151]) ).
cnf(c_196440,plain,
equidistant(u,x,x,u),
inference(superposition,[status(thm)],[c_196410,c_51]) ).
cnf(c_196629,plain,
( ~ between(w,u,v)
| between(v,u,w) ),
inference(global_subsumption_just,[status(thm)],[c_191336,c_136,c_3029,c_3181,c_3182,c_3981,c_4396,c_4397,c_5470,c_10229,c_101853,c_102485,c_129772]) ).
cnf(c_196693,plain,
equidistant(v,x,x,v),
inference(superposition,[status(thm)],[c_190962,c_191152]) ).
cnf(c_197396,plain,
( ~ between(w,u,X0)
| between(u,X0,v)
| between(u,v,X0)
| between(u,v,w)
| between(v,w,u) ),
inference(global_subsumption_just,[status(thm)],[c_191835,c_3029,c_4396,c_4397,c_5470,c_10229,c_25650,c_129768]) ).
cnf(c_204105,plain,
( ~ equidistant(u,X0,v,X1)
| ~ equidistant(v,X0,u,X1)
| ~ equidistant(u,v,v,u)
| ~ between(u,v,X0)
| between(v,u,X1) ),
inference(instantiation,[status(thm)],[c_191593]) ).
cnf(c_221363,plain,
( ~ between(w,u,X0)
| w = u
| between(u,X0,v)
| between(u,v,X0)
| between(u,v,w)
| between(v,w,u) ),
inference(resolution,[status(thm)],[c_106,c_192208]) ).
cnf(c_230881,plain,
( ~ equidistant(X0,v,X1,u)
| ~ equidistant(u,X0,v,X1)
| ~ equidistant(u,v,v,u)
| ~ between(u,X0,v)
| between(v,X1,u) ),
inference(instantiation,[status(thm)],[c_193374]) ).
cnf(c_235169,plain,
( ~ equidistant(X0,w,x,u)
| ~ equidistant(X0,x,x,v)
| ~ equidistant(w,x,u,v)
| ~ between(X0,w,x)
| between(x,u,v) ),
inference(instantiation,[status(thm)],[c_191659]) ).
cnf(c_236420,plain,
( ~ equidistant(X0,v,x,x)
| ~ equidistant(X0,w,x,u)
| ~ equidistant(w,v,u,x)
| ~ between(X0,w,v)
| between(x,u,x) ),
inference(instantiation,[status(thm)],[c_191659]) ).
cnf(c_237297,plain,
equidistant(v,v,x,x),
inference(instantiation,[status(thm)],[c_195591]) ).
cnf(c_239875,plain,
( ~ equidistant(X0,v,x,w)
| ~ equidistant(X0,x,x,u)
| ~ equidistant(x,v,u,w)
| ~ between(X0,x,v)
| between(x,u,w) ),
inference(instantiation,[status(thm)],[c_191659]) ).
cnf(c_256818,plain,
( ~ equidistant(u,v,v,u)
| ~ equidistant(u,w,v,x)
| ~ equidistant(v,w,u,x)
| ~ between(u,v,w)
| between(v,u,x) ),
inference(instantiation,[status(thm)],[c_204105]) ).
cnf(c_272335,plain,
( ~ equidistant(v,w,x,u)
| ~ equidistant(v,x,x,v)
| ~ equidistant(w,x,u,v)
| ~ between(v,w,x)
| between(x,u,v) ),
inference(instantiation,[status(thm)],[c_235169]) ).
cnf(c_273534,plain,
( ~ equidistant(v,v,x,x)
| ~ equidistant(v,w,x,u)
| ~ equidistant(w,v,u,x)
| ~ between(v,w,v)
| between(x,u,x) ),
inference(instantiation,[status(thm)],[c_236420]) ).
cnf(c_274073,plain,
( ~ equidistant(u,v,x,w)
| ~ equidistant(u,x,x,u)
| ~ equidistant(x,v,u,w)
| ~ between(u,x,v)
| between(x,u,w) ),
inference(instantiation,[status(thm)],[c_239875]) ).
cnf(c_292220,plain,
( ~ equidistant(u,v,v,u)
| ~ equidistant(u,w,v,x)
| ~ equidistant(w,v,x,u)
| ~ between(u,w,v)
| between(v,x,u) ),
inference(instantiation,[status(thm)],[c_230881]) ).
cnf(c_292224,plain,
( ~ equidistant(u,v,v,u)
| ~ equidistant(u,x,v,w)
| ~ equidistant(x,v,w,u)
| ~ between(u,x,v)
| between(v,w,u) ),
inference(instantiation,[status(thm)],[c_230881]) ).
cnf(c_312926,plain,
( ~ equidistant(X0,X1,X2,v)
| ~ equidistant(X0,X3,X2,u)
| ~ equidistant(X1,X3,v,u)
| ~ between(X0,X1,X3)
| between(X2,v,u) ),
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_312946,plain,
( ~ equidistant(X0,X1,X2,x)
| ~ equidistant(X0,X3,X2,u)
| ~ equidistant(X1,X3,x,u)
| ~ between(X0,X1,X3)
| between(X2,x,u) ),
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_313009,plain,
( ~ between(X0,X1,u)
| ~ between(X1,u,X2)
| X1 = u
| between(X0,u,X2) ),
inference(instantiation,[status(thm)],[c_83]) ).
cnf(c_314429,plain,
( ~ colinear(x,u,X0)
| colinear(u,x,X0) ),
inference(instantiation,[status(thm)],[c_119]) ).
cnf(c_317322,plain,
( ~ equidistant(X0,u,X1,v)
| ~ equidistant(X0,v,X1,u)
| ~ equidistant(u,v,v,u)
| ~ between(X0,u,v)
| between(X1,v,u) ),
inference(instantiation,[status(thm)],[c_312926]) ).
cnf(c_317362,plain,
( ~ equidistant(X0,u,X1,x)
| ~ equidistant(X0,x,X1,u)
| ~ equidistant(u,x,x,u)
| ~ between(X0,u,x)
| between(X1,x,u) ),
inference(instantiation,[status(thm)],[c_312946]) ).
cnf(c_318640,plain,
( ~ between(X0,X1,u)
| ~ between(X0,u,X1)
| between(u,X1,u) ),
inference(instantiation,[status(thm)],[c_82]) ).
cnf(c_328393,plain,
( ~ between(X0,v,u)
| ~ between(v,u,w)
| v = u
| between(X0,u,w) ),
inference(instantiation,[status(thm)],[c_313009]) ).
cnf(c_328609,plain,
( ~ between(u,w,u)
| between(X0,w,u) ),
inference(instantiation,[status(thm)],[c_166]) ).
cnf(c_328648,plain,
( ~ between(X0,X1,v)
| ~ between(w,X0,X1)
| X0 = X1
| between(w,X0,v) ),
inference(instantiation,[status(thm)],[c_84]) ).
cnf(c_332404,plain,
( ~ between(w,u,X0)
| between(u,X0,v)
| between(u,v,X0)
| between(u,v,w)
| between(v,w,u) ),
inference(global_subsumption_just,[status(thm)],[c_221363,c_197396]) ).
cnf(c_339238,plain,
( ~ between(v,u,w)
| ~ between(v,w,u)
| between(u,w,u) ),
inference(instantiation,[status(thm)],[c_318640]) ).
cnf(c_340168,plain,
( ~ equidistant(u,v,v,u)
| ~ equidistant(w,u,x,v)
| ~ equidistant(w,v,x,u)
| ~ between(w,u,v)
| between(x,v,u) ),
inference(instantiation,[status(thm)],[c_317322]) ).
cnf(c_340169,plain,
( ~ equidistant(u,v,v,u)
| ~ equidistant(x,u,w,v)
| ~ equidistant(x,v,w,u)
| ~ between(x,u,v)
| between(w,v,u) ),
inference(instantiation,[status(thm)],[c_317322]) ).
cnf(c_340246,plain,
( ~ equidistant(u,x,x,u)
| ~ equidistant(w,u,v,x)
| ~ equidistant(w,x,v,u)
| ~ between(w,u,x)
| between(v,x,u) ),
inference(instantiation,[status(thm)],[c_317362]) ).
cnf(c_344787,plain,
( ~ between(X0,X1,w)
| ~ between(v,X0,X1)
| X0 = X1
| between(v,X0,w) ),
inference(instantiation,[status(thm)],[c_84]) ).
cnf(c_349873,plain,
( ~ between(u,x,v)
| ~ between(w,u,x)
| u = x
| between(w,u,v) ),
inference(instantiation,[status(thm)],[c_328648]) ).
cnf(c_359893,plain,
( ~ between(v,u,w)
| ~ between(x,v,u)
| v = u
| between(x,u,w) ),
inference(instantiation,[status(thm)],[c_328393]) ).
cnf(c_363630,plain,
( ~ colinear(x,u,w)
| colinear(u,x,w) ),
inference(instantiation,[status(thm)],[c_314429]) ).
cnf(c_367087,plain,
( ~ between(u,x,w)
| ~ between(v,u,x)
| u = x
| between(v,u,w) ),
inference(instantiation,[status(thm)],[c_344787]) ).
cnf(c_368413,plain,
( between(u,v,w)
| between(v,w,u) ),
inference(global_subsumption_just,[status(thm)],[c_332404,c_136,c_2639,c_2796,c_5470,c_8623,c_10229,c_10875,c_152608,c_190954,c_190951,c_190950,c_190957,c_190976,c_190972,c_191263,c_196440,c_292224,c_340168,c_340246,c_359893]) ).
cnf(c_368415,plain,
between(v,w,u),
inference(global_subsumption_just,[status(thm)],[c_368413,c_138,c_137,c_136,c_133,c_132,c_2598,c_3099,c_3286,c_3287,c_4396,c_4397,c_5423,c_5470,c_8623,c_10229,c_10875,c_22621,c_25493,c_74885,c_74870,c_89510,c_103023,c_105008,c_137277,c_145233,c_190954,c_190951,c_190957,c_190961,c_190976,c_190971,c_191263,c_196440,c_237297,c_256818,c_273534,c_292224,c_340246,c_363630,c_367087,c_368413]) ).
cnf(c_565467,plain,
( ~ between(u,w,X0)
| between(y,w,X0) ),
inference(superposition,[status(thm)],[c_134,c_82]) ).
cnf(c_565539,plain,
between(y,w,X0),
inference(global_subsumption_just,[status(thm)],[c_565467,c_137,c_133,c_10875,c_102498,c_107025,c_152608,c_190955,c_190950,c_190960,c_191263,c_196440,c_196629,c_274073,c_292220,c_328609,c_339238,c_349873,c_368415,c_565467]) ).
cnf(c_565555,plain,
w = y,
inference(superposition,[status(thm)],[c_565539,c_151]) ).
cnf(c_566472,plain,
between(v,w,x),
inference(superposition,[status(thm)],[c_565555,c_135]) ).
cnf(c_566474,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_566472,c_368415,c_340169,c_273534,c_272335,c_237297,c_196693,c_191263,c_190971,c_190976,c_190965,c_190940,c_109833,c_103023,c_102498,c_4397,c_4396,c_3287,c_3286,c_2829,c_132,c_136,c_137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : GEO070-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.08/0.11 % Command : run_iprover %s %d THM
% 0.10/0.32 % Computer : n007.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Fri May 3 01:14:20 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 196.64/26.75 % SZS status Started for theBenchmark.p
% 196.64/26.75 % SZS status Unsatisfiable for theBenchmark.p
% 196.64/26.75
% 196.64/26.75 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 196.64/26.75
% 196.64/26.75 ------ iProver source info
% 196.64/26.75
% 196.64/26.75 git: date: 2024-05-02 19:28:25 +0000
% 196.64/26.75 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 196.64/26.75 git: non_committed_changes: false
% 196.64/26.75
% 196.64/26.75 ------ Parsing...successful
% 196.64/26.75
% 196.64/26.75
% 196.64/26.75
% 196.64/26.75 ------ Preprocessing... sup_sim: 0 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
% 196.64/26.75
% 196.64/26.75 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 196.64/26.75
% 196.64/26.75 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 196.64/26.75 ------ Proving...
% 196.64/26.75 ------ Problem Properties
% 196.64/26.75
% 196.64/26.75
% 196.64/26.75 clauses 107
% 196.64/26.75 conjectures 1
% 196.64/26.75 EPR 78
% 196.64/26.75 Horn 83
% 196.64/26.75 unary 36
% 196.64/26.75 binary 26
% 196.64/26.75 lits 280
% 196.64/26.75 lits eq 46
% 196.64/26.75 fd_pure 0
% 196.64/26.75 fd_pseudo 0
% 196.64/26.75 fd_cond 0
% 196.64/26.75 fd_pseudo_cond 26
% 196.64/26.75 AC symbols 0
% 196.64/26.75
% 196.64/26.75 ------ Input Options Time Limit: Unbounded
% 196.64/26.75
% 196.64/26.75
% 196.64/26.75 ------
% 196.64/26.75 Current options:
% 196.64/26.75 ------
% 196.64/26.75
% 196.64/26.75
% 196.64/26.75
% 196.64/26.75
% 196.64/26.75 ------ Proving...
% 196.64/26.75
% 196.64/26.75
% 196.64/26.75 ------ Proving...
% 196.64/26.75
% 196.64/26.75
% 196.64/26.75 ------ Proving...
% 196.64/26.75
% 196.64/26.75
% 196.64/26.75 ------ Proving...
% 196.64/26.75
% 196.64/26.75
% 196.64/26.75 % SZS status Unsatisfiable for theBenchmark.p
% 196.64/26.75
% 196.64/26.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 196.64/26.75
% 196.64/26.76
%------------------------------------------------------------------------------