TSTP Solution File: GEO073-3 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GEO073-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n009.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:31:22 EDT 2023
% Result : Unsatisfiable 703.41s 89.58s
% Output : CNFRefutation 703.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 55
% Syntax : Number of clauses : 265 ( 129 unt; 43 nHn; 203 RR)
% Number of literals : 522 ( 98 equ; 218 neg)
% Maximal clause size : 8 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-4 aty)
% Number of variables : 620 ( 88 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(b0,axiom,
( between(X2,X3,X1)
| X1 != extension(X2,X3,X4,X5) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',b0) ).
cnf(insertion,axiom,
insertion(X1,X2,X3,X4) = extension(extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X1,X3,X4),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',insertion) ).
cnf(b6,axiom,
( between(X1,X3,X4)
| X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',b6) ).
cnf(e3_1,axiom,
X1 != extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',e3_1) ).
cnf(t1,axiom,
( between(X3,X2,X1)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',t1) ).
cnf(i3,axiom,
( X2 = insertion(X1,X3,X1,X2)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',i3) ).
cnf(y_between_v_and_x,hypothesis,
between(v,y,x),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',y_between_v_and_x) ).
cnf(i4,axiom,
( insertion(X5,X6,X1,X2) = insertion(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',i4) ).
cnf(reflexivity_for_equidistance,axiom,
equidistant(X1,X2,X2,X1),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',reflexivity_for_equidistance) ).
cnf(d4_5,axiom,
( equidistant(X4,X3,X2,X1)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',d4_5) ).
cnf(u_to_w_equals_v_to_x,hypothesis,
equidistant(u,w,v,x),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',u_to_w_equals_v_to_x) ).
cnf(t8,axiom,
( between(X1,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X2,X4,X5)
| ~ between(X1,X5,X3) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',t8) ).
cnf(d4_3,axiom,
( equidistant(X3,X4,X2,X1)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',d4_3) ).
cnf(i2_2,axiom,
( between(X4,insertion(X4,X5,X1,X2),X5)
| ~ between(X1,X2,X3)
| ~ equidistant(X1,X3,X4,X5) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',i2_2) ).
cnf(y_between_u_and_w,hypothesis,
between(u,y,w),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',y_between_u_and_w) ).
cnf(t3,axiom,
between(X1,X2,X2),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',t3) ).
cnf(i2_1,axiom,
equidistant(X1,X2,X3,insertion(X3,X4,X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',i2_1) ).
cnf(c2_1,axiom,
( colinear(X3,X2,X1)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',c2_1) ).
cnf(colinearity1,axiom,
( colinear(X1,X2,X3)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',colinearity1) ).
cnf(e1,axiom,
X1 = extension(X2,X1,X3,X3),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',e1) ).
cnf(v_to_w_equals_x_to_u,hypothesis,
equidistant(v,w,x,u),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',v_to_w_equals_x_to_u) ).
cnf(i2_3,axiom,
( equidistant(X2,X3,insertion(X4,X5,X1,X2),X5)
| ~ between(X1,X2,X3)
| ~ equidistant(X1,X3,X4,X5) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',i2_3) ).
cnf(d4_4,axiom,
( equidistant(X4,X3,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',d4_4) ).
cnf(t13,axiom,
( colinear(X3,X4,X5)
| X1 = X2
| ~ colinear(X1,X2,X3)
| ~ colinear(X1,X2,X4)
| ~ colinear(X1,X2,X5) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',t13) ).
cnf(t2,axiom,
between(X1,X1,X2),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',t2) ).
cnf(d14,axiom,
( equidistant(X2,X7,X4,X8)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X7,X3,X8)
| ~ equidistant(X5,X7,X6,X8)
| ~ between(X1,X2,X5)
| ~ between(X3,X4,X6) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',d14) ).
cnf(u_to_v_equals_w_to_x,hypothesis,
equidistant(u,v,w,x),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',u_to_v_equals_w_to_x) ).
cnf(c4,axiom,
( colinear(X3,X4,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X5,X3,X6)
| ~ colinear(X1,X2,X5) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',c4) ).
cnf(d9,axiom,
( X1 = X2
| X3 = X4
| ~ between(X1,X2,X3)
| ~ between(X1,X2,X4)
| ~ equidistant(X2,X3,X2,X4) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',d9) ).
cnf(e3_2,axiom,
equidistant(X1,extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X3,extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2)),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',e3_2) ).
cnf(b5,axiom,
( between(X2,X3,X4)
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',b5) ).
cnf(d4_2,axiom,
( equidistant(X2,X1,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',d4_2) ).
cnf(d4_1,axiom,
( equidistant(X1,X2,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',d4_1) ).
cnf(t12_2,axiom,
( colinear(X2,X3,X4)
| X1 = X2
| ~ colinear(X1,X2,X3)
| ~ colinear(X1,X2,X4) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',t12_2) ).
cnf(t10_4,axiom,
( colinear(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',t10_4) ).
cnf(segment_construction2,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',segment_construction2) ).
cnf(d2,axiom,
( equidistant(X3,X4,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',d2) ).
cnf(w1,axiom,
( X1 = X2
| X4 = X1
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X3,X4,X1)
| ~ equidistant(X1,X3,X2,X4)
| ~ colinear(X1,X2,X3)
| ~ between(X1,X5,X3)
| ~ between(X2,X5,X4) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',w1) ).
cnf(x_not_u,hypothesis,
x != u,
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',x_not_u) ).
cnf(u_not_v,hypothesis,
u != v,
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',u_not_v) ).
cnf(c3_3,axiom,
colinear(X1,X2,X2),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',c3_3) ).
cnf(t10_1,axiom,
( colinear(X3,X2,X1)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',t10_1) ).
cnf(t10_2,axiom,
( colinear(X2,X3,X1)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',t10_2) ).
cnf(colinearity2,axiom,
( colinear(X3,X1,X2)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',colinearity2) ).
cnf(c5_2,axiom,
( colinear(X4,X1,X2)
| X3 = X2
| ~ colinear(X1,X2,X3)
| ~ colinear(X4,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',c5_2) ).
cnf(c2_3,axiom,
( colinear(X2,X1,X3)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',c2_3) ).
cnf(d13,axiom,
( equidistant(X2,X3,X5,X6)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X6)
| ~ equidistant(X1,X2,X4,X5)
| ~ equidistant(X1,X3,X4,X6) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',d13) ).
cnf(transitivity_for_equidistance,axiom,
( equidistant(X3,X4,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',transitivity_for_equidistance) ).
cnf(colinearity3,axiom,
( colinear(X2,X3,X1)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',colinearity3) ).
cnf(r2_2,axiom,
equidistant(X1,reflection(X2,X1),X2,X1),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',r2_2) ).
cnf(d5,axiom,
( equidistant(X1,X2,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X3,X4,X5,X6) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',d5) ).
cnf(reflection,axiom,
reflection(X1,X2) = extension(X1,X2,X1,X2),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',reflection) ).
cnf(d10_2,axiom,
( extension(X5,X6,X1,X2) = extension(X5,X6,X3,X4)
| X5 = X6
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',d10_2) ).
cnf(prove_bisection,negated_conjecture,
( ~ equidistant(u,y,w,y)
| ~ equidistant(v,y,x,y) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',prove_bisection) ).
cnf(d3,axiom,
( equidistant(X2,X1,X3,X4)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p',d3) ).
cnf(c_0_55,axiom,
( between(X2,X3,X1)
| X1 != extension(X2,X3,X4,X5) ),
b0 ).
cnf(c_0_56,plain,
between(X1,X2,extension(X1,X2,X3,X4)),
inference(er,[status(thm)],[c_0_55]) ).
cnf(c_0_57,axiom,
insertion(X1,X2,X3,X4) = extension(extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X1,X3,X4),
insertion ).
cnf(c_0_58,axiom,
( between(X1,X3,X4)
| X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X2,X3,X4) ),
b6 ).
cnf(c_0_59,plain,
between(extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X2,insertion(X2,X1,X3,X4)),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_60,axiom,
X1 != extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),
e3_1 ).
cnf(c_0_61,axiom,
( between(X3,X2,X1)
| ~ between(X1,X2,X3) ),
t1 ).
cnf(c_0_62,plain,
( between(X1,X2,insertion(X2,X3,X4,X5))
| ~ between(X1,extension(X3,X2,lower_dimension_point_1,lower_dimension_point_2),X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]) ).
cnf(c_0_63,plain,
between(extension(X1,X2,X3,X4),X2,X1),
inference(spm,[status(thm)],[c_0_61,c_0_56]) ).
cnf(c_0_64,axiom,
( X2 = insertion(X1,X3,X1,X2)
| ~ between(X1,X2,X3) ),
i3 ).
cnf(c_0_65,hypothesis,
between(v,y,x),
y_between_v_and_x ).
cnf(c_0_66,axiom,
( insertion(X5,X6,X1,X2) = insertion(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X3,X4) ),
i4 ).
cnf(c_0_67,axiom,
equidistant(X1,X2,X2,X1),
reflexivity_for_equidistance ).
cnf(c_0_68,axiom,
( equidistant(X4,X3,X2,X1)
| ~ equidistant(X1,X2,X3,X4) ),
d4_5 ).
cnf(c_0_69,hypothesis,
equidistant(u,w,v,x),
u_to_w_equals_v_to_x ).
cnf(c_0_70,axiom,
( between(X1,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X2,X4,X5)
| ~ between(X1,X5,X3) ),
t8 ).
cnf(c_0_71,plain,
between(extension(X1,extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X3,X4),X1,insertion(X1,X2,X5,X6)),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_72,hypothesis,
insertion(v,x,v,y) = y,
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_73,plain,
insertion(X1,X2,X3,X4) = insertion(X1,X2,X4,X3),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_74,axiom,
( equidistant(X3,X4,X2,X1)
| ~ equidistant(X1,X2,X3,X4) ),
d4_3 ).
cnf(c_0_75,hypothesis,
equidistant(x,v,w,u),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_76,plain,
( between(X1,X2,X3)
| ~ between(X1,extension(X2,extension(X4,X2,lower_dimension_point_1,lower_dimension_point_2),X5,X6),X3)
| ~ between(X1,insertion(X2,X4,X7,X8),X3) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_77,hypothesis,
insertion(v,x,y,v) = y,
inference(rw,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_78,axiom,
( between(X4,insertion(X4,X5,X1,X2),X5)
| ~ between(X1,X2,X3)
| ~ equidistant(X1,X3,X4,X5) ),
i2_2 ).
cnf(c_0_79,hypothesis,
equidistant(w,u,v,x),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_80,hypothesis,
between(u,y,w),
y_between_u_and_w ).
cnf(c_0_81,hypothesis,
( between(X1,v,X2)
| ~ between(X1,extension(v,extension(x,v,lower_dimension_point_1,lower_dimension_point_2),X3,X4),X2)
| ~ between(X1,y,X2) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_82,axiom,
between(X1,X2,X2),
t3 ).
cnf(c_0_83,hypothesis,
( between(v,insertion(v,x,w,X1),x)
| ~ between(w,X1,u) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_84,hypothesis,
between(w,y,u),
inference(spm,[status(thm)],[c_0_61,c_0_80]) ).
cnf(c_0_85,axiom,
equidistant(X1,X2,X3,insertion(X3,X4,X1,X2)),
i2_1 ).
cnf(c_0_86,axiom,
( colinear(X3,X2,X1)
| ~ between(X1,X2,X3) ),
c2_1 ).
cnf(c_0_87,axiom,
( colinear(X1,X2,X3)
| ~ between(X1,X2,X3) ),
colinearity1 ).
cnf(c_0_88,hypothesis,
( between(X1,v,y)
| ~ between(X1,extension(v,extension(x,v,lower_dimension_point_1,lower_dimension_point_2),X2,X3),y) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_89,axiom,
X1 = extension(X2,X1,X3,X3),
e1 ).
cnf(c_0_90,hypothesis,
equidistant(v,w,x,u),
v_to_w_equals_x_to_u ).
cnf(c_0_91,axiom,
( equidistant(X2,X3,insertion(X4,X5,X1,X2),X5)
| ~ between(X1,X2,X3)
| ~ equidistant(X1,X3,X4,X5) ),
i2_3 ).
cnf(c_0_92,axiom,
( equidistant(X4,X3,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
d4_4 ).
cnf(c_0_93,plain,
( between(X1,insertion(X1,X2,X2,X3),X2)
| ~ between(X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_67]) ).
cnf(c_0_94,hypothesis,
between(v,insertion(v,x,y,w),x),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_73]) ).
cnf(c_0_95,plain,
insertion(X1,X2,X3,insertion(X3,X4,X5,X6)) = insertion(X1,X2,X5,X6),
inference(spm,[status(thm)],[c_0_66,c_0_85]) ).
cnf(c_0_96,hypothesis,
insertion(w,u,w,y) = y,
inference(spm,[status(thm)],[c_0_64,c_0_84]) ).
cnf(c_0_97,axiom,
( colinear(X3,X4,X5)
| X1 = X2
| ~ colinear(X1,X2,X3)
| ~ colinear(X1,X2,X4)
| ~ colinear(X1,X2,X5) ),
t13 ).
cnf(c_0_98,plain,
colinear(extension(X1,X2,X3,X4),X2,X1),
inference(spm,[status(thm)],[c_0_86,c_0_56]) ).
cnf(c_0_99,plain,
colinear(X1,X2,extension(X1,X2,X3,X4)),
inference(spm,[status(thm)],[c_0_87,c_0_56]) ).
cnf(c_0_100,hypothesis,
( between(X1,v,y)
| ~ between(X1,extension(x,v,lower_dimension_point_1,lower_dimension_point_2),y) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_101,axiom,
between(X1,X1,X2),
t2 ).
cnf(c_0_102,hypothesis,
equidistant(u,x,w,v),
inference(spm,[status(thm)],[c_0_68,c_0_90]) ).
cnf(c_0_103,hypothesis,
( equidistant(X1,w,insertion(v,x,u,X1),x)
| ~ between(u,X1,w) ),
inference(spm,[status(thm)],[c_0_91,c_0_69]) ).
cnf(c_0_104,hypothesis,
( between(v,insertion(v,x,u,X1),x)
| ~ between(u,X1,w) ),
inference(spm,[status(thm)],[c_0_78,c_0_69]) ).
cnf(c_0_105,hypothesis,
equidistant(u,w,x,v),
inference(spm,[status(thm)],[c_0_92,c_0_75]) ).
cnf(c_0_106,hypothesis,
between(x,insertion(x,v,y,w),v),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]) ).
cnf(c_0_107,hypothesis,
( equidistant(X1,v,insertion(w,u,x,X1),u)
| ~ between(x,X1,v) ),
inference(spm,[status(thm)],[c_0_91,c_0_75]) ).
cnf(c_0_108,hypothesis,
insertion(w,u,y,w) = y,
inference(rw,[status(thm)],[c_0_96,c_0_73]) ).
cnf(c_0_109,plain,
( extension(X1,X2,X3,X4) = X2
| colinear(X5,X6,X1)
| ~ colinear(extension(X1,X2,X3,X4),X2,X6)
| ~ colinear(extension(X1,X2,X3,X4),X2,X5) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_110,plain,
colinear(extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X2,insertion(X2,X1,X3,X4)),
inference(spm,[status(thm)],[c_0_99,c_0_57]) ).
cnf(c_0_111,hypothesis,
between(extension(x,v,lower_dimension_point_1,lower_dimension_point_2),v,y),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_112,axiom,
( equidistant(X2,X7,X4,X8)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X7,X3,X8)
| ~ equidistant(X5,X7,X6,X8)
| ~ between(X1,X2,X5)
| ~ between(X3,X4,X6) ),
d14 ).
cnf(c_0_113,hypothesis,
equidistant(v,w,u,x),
inference(spm,[status(thm)],[c_0_92,c_0_102]) ).
cnf(c_0_114,hypothesis,
equidistant(y,w,insertion(v,x,u,y),x),
inference(spm,[status(thm)],[c_0_103,c_0_80]) ).
cnf(c_0_115,hypothesis,
between(v,insertion(v,x,u,y),x),
inference(spm,[status(thm)],[c_0_104,c_0_80]) ).
cnf(c_0_116,hypothesis,
( between(x,insertion(x,v,u,X1),v)
| ~ between(u,X1,w) ),
inference(spm,[status(thm)],[c_0_78,c_0_105]) ).
cnf(c_0_117,hypothesis,
equidistant(x,v,u,w),
inference(spm,[status(thm)],[c_0_92,c_0_69]) ).
cnf(c_0_118,hypothesis,
equidistant(u,v,w,x),
u_to_v_equals_w_to_x ).
cnf(c_0_119,hypothesis,
( equidistant(X1,u,insertion(v,x,w,X1),x)
| ~ between(w,X1,u) ),
inference(spm,[status(thm)],[c_0_91,c_0_79]) ).
cnf(c_0_120,axiom,
( colinear(X3,X4,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X5,X3,X6)
| ~ colinear(X1,X2,X5) ),
c4 ).
cnf(c_0_121,hypothesis,
between(v,insertion(x,v,y,w),x),
inference(spm,[status(thm)],[c_0_61,c_0_106]) ).
cnf(c_0_122,hypothesis,
equidistant(insertion(x,v,y,w),v,y,u),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_106]),c_0_95]),c_0_108]) ).
cnf(c_0_123,plain,
( colinear(X1,insertion(X2,X3,X4,X5),X3)
| ~ colinear(extension(X3,X2,lower_dimension_point_1,lower_dimension_point_2),X2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_60]) ).
cnf(c_0_124,hypothesis,
colinear(extension(x,v,lower_dimension_point_1,lower_dimension_point_2),v,y),
inference(spm,[status(thm)],[c_0_87,c_0_111]) ).
cnf(c_0_125,hypothesis,
( equidistant(X1,w,X2,x)
| ~ between(X3,X2,u)
| ~ between(X4,X1,v)
| ~ equidistant(X1,v,X2,u)
| ~ equidistant(X4,w,X3,x)
| ~ equidistant(X4,X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_126,hypothesis,
equidistant(x,insertion(v,x,u,y),w,y),
inference(spm,[status(thm)],[c_0_68,c_0_114]) ).
cnf(c_0_127,hypothesis,
between(x,insertion(v,x,u,y),v),
inference(spm,[status(thm)],[c_0_61,c_0_115]) ).
cnf(c_0_128,plain,
equidistant(insertion(X1,X2,X3,X4),X1,X4,X3),
inference(spm,[status(thm)],[c_0_68,c_0_85]) ).
cnf(c_0_129,axiom,
( X1 = X2
| X3 = X4
| ~ between(X1,X2,X3)
| ~ between(X1,X2,X4)
| ~ equidistant(X2,X3,X2,X4) ),
d9 ).
cnf(c_0_130,axiom,
equidistant(X1,extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X3,extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2)),
e3_2 ).
cnf(c_0_131,axiom,
( between(X2,X3,X4)
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X4) ),
b5 ).
cnf(c_0_132,hypothesis,
between(x,insertion(x,v,u,y),v),
inference(spm,[status(thm)],[c_0_116,c_0_80]) ).
cnf(c_0_133,hypothesis,
( equidistant(X1,v,insertion(u,w,x,X1),w)
| ~ between(x,X1,v) ),
inference(spm,[status(thm)],[c_0_91,c_0_117]) ).
cnf(c_0_134,hypothesis,
insertion(u,w,u,y) = y,
inference(spm,[status(thm)],[c_0_64,c_0_80]) ).
cnf(c_0_135,hypothesis,
equidistant(w,x,v,u),
inference(spm,[status(thm)],[c_0_74,c_0_118]) ).
cnf(c_0_136,axiom,
( equidistant(X2,X1,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
d4_2 ).
cnf(c_0_137,hypothesis,
equidistant(y,u,insertion(v,x,y,w),x),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_84]),c_0_73]) ).
cnf(c_0_138,axiom,
( equidistant(X1,X2,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
d4_1 ).
cnf(c_0_139,axiom,
( colinear(X2,X3,X4)
| X1 = X2
| ~ colinear(X1,X2,X3)
| ~ colinear(X1,X2,X4) ),
t12_2 ).
cnf(c_0_140,plain,
( colinear(X1,X2,X3)
| ~ colinear(X4,X3,X2)
| ~ equidistant(X4,X2,X1,X3)
| ~ equidistant(X4,X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_120,c_0_67]) ).
cnf(c_0_141,plain,
equidistant(X1,insertion(X1,X2,X3,X4),X4,X3),
inference(spm,[status(thm)],[c_0_74,c_0_85]) ).
cnf(c_0_142,hypothesis,
insertion(v,x,v,insertion(x,v,y,w)) = insertion(x,v,y,w),
inference(spm,[status(thm)],[c_0_64,c_0_121]) ).
cnf(c_0_143,hypothesis,
insertion(X1,X2,v,insertion(x,v,y,w)) = insertion(X1,X2,u,y),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_122]),c_0_73]),c_0_73]) ).
cnf(c_0_144,axiom,
( colinear(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
t10_4 ).
cnf(c_0_145,hypothesis,
colinear(y,insertion(v,x,X1,X2),x),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_146,hypothesis,
equidistant(insertion(v,x,u,y),w,y,x),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_84]),c_0_127]),c_0_128]),c_0_67])]) ).
cnf(c_0_147,plain,
( extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2) = extension(X3,X2,lower_dimension_point_1,lower_dimension_point_2)
| X4 = X2
| ~ between(X4,X2,extension(X3,X2,lower_dimension_point_1,lower_dimension_point_2))
| ~ between(X4,X2,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2)) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_148,plain,
( between(X1,X2,extension(X3,X2,X4,X5))
| ~ between(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_131,c_0_56]) ).
cnf(c_0_149,hypothesis,
between(x,y,v),
inference(spm,[status(thm)],[c_0_61,c_0_65]) ).
cnf(c_0_150,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
segment_construction2 ).
cnf(c_0_151,hypothesis,
between(v,insertion(x,v,u,y),x),
inference(spm,[status(thm)],[c_0_61,c_0_132]) ).
cnf(c_0_152,hypothesis,
equidistant(insertion(x,v,u,y),v,y,w),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_132]),c_0_95]),c_0_134]) ).
cnf(c_0_153,hypothesis,
( equidistant(X1,x,X2,u)
| ~ between(X3,X2,v)
| ~ between(X4,X1,w)
| ~ equidistant(X1,w,X2,v)
| ~ equidistant(X4,x,X3,u)
| ~ equidistant(X4,X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_112,c_0_135]) ).
cnf(c_0_154,hypothesis,
equidistant(u,y,x,insertion(v,x,y,w)),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_155,hypothesis,
between(x,insertion(v,x,y,w),v),
inference(spm,[status(thm)],[c_0_61,c_0_94]) ).
cnf(c_0_156,plain,
equidistant(X1,X2,insertion(X3,X4,X1,X2),X3),
inference(spm,[status(thm)],[c_0_138,c_0_85]) ).
cnf(c_0_157,plain,
( colinear(X1,X2,insertion(X1,X3,X4,X5))
| ~ colinear(extension(X3,X1,lower_dimension_point_1,lower_dimension_point_2),X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_110]),c_0_60]) ).
cnf(c_0_158,plain,
( colinear(X1,insertion(X2,X3,X4,X1),X4)
| ~ colinear(X2,X4,insertion(X2,X3,X4,X1))
| ~ equidistant(X2,X4,X1,insertion(X2,X3,X4,X1)) ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_159,hypothesis,
insertion(x,v,y,w) = insertion(v,x,u,y),
inference(rw,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_160,hypothesis,
colinear(x,y,insertion(v,x,X1,X2)),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_161,hypothesis,
equidistant(x,y,w,insertion(v,x,u,y)),
inference(spm,[status(thm)],[c_0_68,c_0_146]) ).
cnf(c_0_162,plain,
( extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2) = extension(X3,X2,lower_dimension_point_1,lower_dimension_point_2)
| X3 = X2
| ~ between(X3,X2,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2)) ),
inference(spm,[status(thm)],[c_0_147,c_0_56]) ).
cnf(c_0_163,hypothesis,
between(y,v,extension(x,v,X1,X2)),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_164,axiom,
( equidistant(X3,X4,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
d2 ).
cnf(c_0_165,axiom,
( X1 = X2
| X4 = X1
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X3,X4,X1)
| ~ equidistant(X1,X3,X2,X4)
| ~ colinear(X1,X2,X3)
| ~ between(X1,X5,X3)
| ~ between(X2,X5,X4) ),
w1 ).
cnf(c_0_166,hypothesis,
x != u,
x_not_u ).
cnf(c_0_167,hypothesis,
u != v,
u_not_v ).
cnf(c_0_168,plain,
equidistant(X1,insertion(X1,X2,X3,X4),X3,X4),
inference(spm,[status(thm)],[c_0_150,c_0_57]) ).
cnf(c_0_169,hypothesis,
insertion(v,x,v,insertion(x,v,u,y)) = insertion(x,v,u,y),
inference(spm,[status(thm)],[c_0_64,c_0_151]) ).
cnf(c_0_170,hypothesis,
insertion(X1,X2,v,insertion(x,v,u,y)) = insertion(X1,X2,y,w),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_152]),c_0_73]) ).
cnf(c_0_171,hypothesis,
equidistant(y,x,insertion(v,x,y,w),u),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_155]),c_0_80]),c_0_156]),c_0_67])]) ).
cnf(c_0_172,axiom,
colinear(X1,X2,X2),
c3_3 ).
cnf(c_0_173,axiom,
( colinear(X3,X2,X1)
| ~ colinear(X1,X2,X3) ),
t10_1 ).
cnf(c_0_174,plain,
colinear(X1,X2,insertion(X1,X2,X3,X4)),
inference(spm,[status(thm)],[c_0_157,c_0_98]) ).
cnf(c_0_175,axiom,
( colinear(X2,X3,X1)
| ~ colinear(X1,X2,X3) ),
t10_2 ).
cnf(c_0_176,hypothesis,
colinear(w,insertion(v,x,u,y),y),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_160]),c_0_161])]) ).
cnf(c_0_177,hypothesis,
( extension(x,v,lower_dimension_point_1,lower_dimension_point_2) = extension(y,v,lower_dimension_point_1,lower_dimension_point_2)
| v = y ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_178,hypothesis,
equidistant(x,u,v,w),
inference(spm,[status(thm)],[c_0_164,c_0_90]) ).
cnf(c_0_179,hypothesis,
( ~ colinear(u,v,w)
| ~ between(v,X1,x)
| ~ between(u,X1,w) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_90]),c_0_69]),c_0_118])]),c_0_166]),c_0_167]) ).
cnf(c_0_180,plain,
( colinear(X1,insertion(X2,X3,X1,X4),X4)
| ~ colinear(X2,X4,insertion(X2,X3,X1,X4))
| ~ equidistant(X2,X4,X1,insertion(X2,X3,X1,X4)) ),
inference(spm,[status(thm)],[c_0_140,c_0_168]) ).
cnf(c_0_181,hypothesis,
insertion(x,v,u,y) = insertion(v,x,y,w),
inference(rw,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_182,hypothesis,
equidistant(x,y,u,insertion(v,x,y,w)),
inference(spm,[status(thm)],[c_0_136,c_0_171]) ).
cnf(c_0_183,axiom,
( colinear(X3,X1,X2)
| ~ between(X1,X2,X3) ),
colinearity2 ).
cnf(c_0_184,plain,
( X1 = X2
| colinear(X3,X4,X2)
| ~ colinear(X1,X2,X4)
| ~ colinear(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_97,c_0_172]) ).
cnf(c_0_185,plain,
colinear(insertion(X1,X2,X3,X4),X2,X1),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_186,hypothesis,
colinear(insertion(v,x,u,y),y,w),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_187,hypothesis,
( insertion(v,x,X1,X2) = insertion(v,y,X1,X2)
| v = y ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_177]),c_0_57]) ).
cnf(c_0_188,hypothesis,
equidistant(w,v,x,u),
inference(spm,[status(thm)],[c_0_74,c_0_102]) ).
cnf(c_0_189,hypothesis,
( colinear(X1,v,w)
| ~ colinear(X2,x,u)
| ~ equidistant(X2,u,X1,w)
| ~ equidistant(X2,x,X1,v) ),
inference(spm,[status(thm)],[c_0_120,c_0_178]) ).
cnf(c_0_190,hypothesis,
equidistant(w,x,u,v),
inference(spm,[status(thm)],[c_0_164,c_0_118]) ).
cnf(c_0_191,hypothesis,
~ colinear(u,v,w),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_65]),c_0_80])]) ).
cnf(c_0_192,hypothesis,
colinear(u,insertion(v,x,y,w),y),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_160]),c_0_182])]) ).
cnf(c_0_193,axiom,
( colinear(X4,X1,X2)
| X3 = X2
| ~ colinear(X1,X2,X3)
| ~ colinear(X4,X2,X3) ),
c5_2 ).
cnf(c_0_194,hypothesis,
colinear(x,v,y),
inference(spm,[status(thm)],[c_0_183,c_0_65]) ).
cnf(c_0_195,plain,
( insertion(X1,X2,X3,X4) = X2
| colinear(X5,X1,X2)
| ~ colinear(insertion(X1,X2,X3,X4),X2,X5) ),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_196,hypothesis,
( v = y
| colinear(insertion(v,y,u,y),y,w) ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_197,hypothesis,
( colinear(X1,x,u)
| ~ colinear(X2,w,v)
| ~ equidistant(X2,v,X1,u)
| ~ equidistant(X2,w,X1,x) ),
inference(spm,[status(thm)],[c_0_120,c_0_188]) ).
cnf(c_0_198,hypothesis,
~ colinear(w,x,u),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_67]),c_0_190])]),c_0_191]) ).
cnf(c_0_199,axiom,
( colinear(X2,X1,X3)
| ~ between(X1,X2,X3) ),
c2_3 ).
cnf(c_0_200,hypothesis,
colinear(insertion(v,x,y,w),y,u),
inference(spm,[status(thm)],[c_0_175,c_0_192]) ).
cnf(c_0_201,hypothesis,
( v = y
| colinear(x,X1,v)
| ~ colinear(X1,v,y) ),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_202,hypothesis,
( insertion(v,y,u,y) = y
| v = y
| colinear(w,v,y) ),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_203,hypothesis,
~ colinear(x,w,v),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_75]),c_0_67])]),c_0_198]) ).
cnf(c_0_204,hypothesis,
colinear(y,u,w),
inference(spm,[status(thm)],[c_0_199,c_0_80]) ).
cnf(c_0_205,plain,
( insertion(X1,X2,X3,X4) = X2
| colinear(X2,X5,X1)
| ~ colinear(insertion(X1,X2,X3,X4),X2,X5) ),
inference(spm,[status(thm)],[c_0_139,c_0_185]) ).
cnf(c_0_206,hypothesis,
( v = y
| colinear(insertion(v,y,y,w),y,u) ),
inference(spm,[status(thm)],[c_0_200,c_0_187]) ).
cnf(c_0_207,axiom,
( equidistant(X2,X3,X5,X6)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X6)
| ~ equidistant(X1,X2,X4,X5)
| ~ equidistant(X1,X3,X4,X6) ),
d13 ).
cnf(c_0_208,hypothesis,
equidistant(v,x,u,w),
inference(spm,[status(thm)],[c_0_164,c_0_69]) ).
cnf(c_0_209,hypothesis,
( insertion(v,y,u,y) = y
| v = y ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_203]) ).
cnf(c_0_210,hypothesis,
( between(X1,u,X2)
| ~ between(X1,extension(u,extension(w,u,lower_dimension_point_1,lower_dimension_point_2),X3,X4),X2)
| ~ between(X1,y,X2) ),
inference(spm,[status(thm)],[c_0_76,c_0_134]) ).
cnf(c_0_211,axiom,
( equidistant(X3,X4,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
transitivity_for_equidistance ).
cnf(c_0_212,plain,
equidistant(insertion(X1,X2,X3,X4),X1,X3,X4),
inference(spm,[status(thm)],[c_0_92,c_0_85]) ).
cnf(c_0_213,hypothesis,
( y = u
| colinear(u,X1,w)
| ~ colinear(y,u,X1) ),
inference(spm,[status(thm)],[c_0_139,c_0_204]) ).
cnf(c_0_214,hypothesis,
( insertion(v,y,y,w) = y
| v = y
| colinear(y,u,v) ),
inference(spm,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_215,hypothesis,
( equidistant(X1,x,X2,w)
| ~ between(u,X2,w)
| ~ between(v,X1,x)
| ~ equidistant(v,X1,u,X2) ),
inference(spm,[status(thm)],[c_0_207,c_0_208]) ).
cnf(c_0_216,hypothesis,
( v = y
| equidistant(v,y,u,y) ),
inference(spm,[status(thm)],[c_0_168,c_0_209]) ).
cnf(c_0_217,hypothesis,
equidistant(x,w,v,u),
inference(spm,[status(thm)],[c_0_68,c_0_118]) ).
cnf(c_0_218,axiom,
( colinear(X2,X3,X1)
| ~ between(X1,X2,X3) ),
colinearity3 ).
cnf(c_0_219,hypothesis,
( between(y,u,X1)
| ~ between(y,extension(u,extension(w,u,lower_dimension_point_1,lower_dimension_point_2),X2,X3),X1) ),
inference(spm,[status(thm)],[c_0_210,c_0_101]) ).
cnf(c_0_220,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(insertion(X5,X6,X3,X4),X5,X1,X2) ),
inference(spm,[status(thm)],[c_0_211,c_0_212]) ).
cnf(c_0_221,hypothesis,
( insertion(v,y,y,w) = y
| v = y
| y = u ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_191]) ).
cnf(c_0_222,hypothesis,
( v = y
| equidistant(y,x,y,w) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_80]),c_0_65])]) ).
cnf(c_0_223,hypothesis,
equidistant(v,u,w,x),
inference(spm,[status(thm)],[c_0_74,c_0_217]) ).
cnf(c_0_224,axiom,
equidistant(X1,reflection(X2,X1),X2,X1),
r2_2 ).
cnf(c_0_225,hypothesis,
( equidistant(X1,x,insertion(u,w,v,X1),w)
| ~ between(v,X1,x) ),
inference(spm,[status(thm)],[c_0_91,c_0_208]) ).
cnf(c_0_226,plain,
colinear(X1,extension(X2,X1,X3,X4),X2),
inference(spm,[status(thm)],[c_0_218,c_0_56]) ).
cnf(c_0_227,plain,
colinear(X1,X2,extension(X2,X1,X3,X4)),
inference(spm,[status(thm)],[c_0_199,c_0_56]) ).
cnf(c_0_228,hypothesis,
( between(y,u,X1)
| ~ between(y,extension(w,u,lower_dimension_point_1,lower_dimension_point_2),X1) ),
inference(spm,[status(thm)],[c_0_219,c_0_89]) ).
cnf(c_0_229,hypothesis,
( v = y
| equidistant(X1,X2,u,y)
| ~ equidistant(y,v,X1,X2) ),
inference(spm,[status(thm)],[c_0_220,c_0_209]) ).
cnf(c_0_230,hypothesis,
( y = u
| v = y
| equidistant(y,v,w,y) ),
inference(spm,[status(thm)],[c_0_128,c_0_221]) ).
cnf(c_0_231,axiom,
( equidistant(X1,X2,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X3,X4,X5,X6) ),
d5 ).
cnf(c_0_232,hypothesis,
( v = y
| equidistant(w,y,x,y) ),
inference(spm,[status(thm)],[c_0_68,c_0_222]) ).
cnf(c_0_233,hypothesis,
( equidistant(X1,X2,w,x)
| ~ equidistant(v,u,X1,X2) ),
inference(spm,[status(thm)],[c_0_211,c_0_223]) ).
cnf(c_0_234,plain,
equidistant(X1,X2,reflection(X1,X2),X2),
inference(spm,[status(thm)],[c_0_74,c_0_224]) ).
cnf(c_0_235,axiom,
reflection(X1,X2) = extension(X1,X2,X1,X2),
reflection ).
cnf(c_0_236,axiom,
( extension(X5,X6,X1,X2) = extension(X5,X6,X3,X4)
| X5 = X6
| ~ equidistant(X1,X2,X3,X4) ),
d10_2 ).
cnf(c_0_237,hypothesis,
equidistant(y,x,insertion(u,w,y,v),w),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_65]),c_0_73]) ).
cnf(c_0_238,plain,
( extension(X1,X2,X3,X4) = X2
| colinear(X5,X6,X1)
| ~ colinear(X2,extension(X1,X2,X3,X4),X6)
| ~ colinear(X2,extension(X1,X2,X3,X4),X5) ),
inference(spm,[status(thm)],[c_0_97,c_0_226]) ).
cnf(c_0_239,plain,
colinear(X1,extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),insertion(X1,X2,X3,X4)),
inference(spm,[status(thm)],[c_0_227,c_0_57]) ).
cnf(c_0_240,hypothesis,
between(y,u,extension(w,u,lower_dimension_point_1,lower_dimension_point_2)),
inference(spm,[status(thm)],[c_0_228,c_0_82]) ).
cnf(c_0_241,hypothesis,
( y = u
| v = y
| equidistant(w,y,u,y) ),
inference(spm,[status(thm)],[c_0_229,c_0_230]) ).
cnf(c_0_242,hypothesis,
( v = y
| equidistant(X1,X2,x,y)
| ~ equidistant(X1,X2,w,y) ),
inference(spm,[status(thm)],[c_0_231,c_0_232]) ).
cnf(c_0_243,hypothesis,
( y = u
| v = y
| equidistant(v,y,w,y) ),
inference(spm,[status(thm)],[c_0_141,c_0_221]) ).
cnf(c_0_244,hypothesis,
equidistant(extension(v,u,v,u),u,w,x),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_235]) ).
cnf(c_0_245,plain,
( extension(X1,X2,X3,X4) = extension(X1,X2,X4,X3)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_236,c_0_67]) ).
cnf(c_0_246,hypothesis,
equidistant(insertion(u,w,y,v),w,x,y),
inference(spm,[status(thm)],[c_0_74,c_0_237]) ).
cnf(c_0_247,plain,
( colinear(X1,insertion(X2,X3,X4,X5),X3)
| ~ colinear(X2,extension(X3,X2,lower_dimension_point_1,lower_dimension_point_2),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_60]) ).
cnf(c_0_248,hypothesis,
colinear(u,extension(w,u,lower_dimension_point_1,lower_dimension_point_2),y),
inference(spm,[status(thm)],[c_0_218,c_0_240]) ).
cnf(c_0_249,negated_conjecture,
( ~ equidistant(u,y,w,y)
| ~ equidistant(v,y,x,y) ),
prove_bisection ).
cnf(c_0_250,hypothesis,
( v = y
| y = u
| equidistant(u,y,w,y) ),
inference(spm,[status(thm)],[c_0_164,c_0_241]) ).
cnf(c_0_251,hypothesis,
( y = u
| v = y
| equidistant(v,y,x,y) ),
inference(spm,[status(thm)],[c_0_242,c_0_243]) ).
cnf(c_0_252,hypothesis,
equidistant(extension(v,u,u,v),u,w,x),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_167]) ).
cnf(c_0_253,axiom,
( equidistant(X2,X1,X3,X4)
| ~ equidistant(X1,X2,X3,X4) ),
d3 ).
cnf(c_0_254,hypothesis,
( colinear(X1,x,y)
| ~ colinear(X2,insertion(u,w,y,v),w)
| ~ equidistant(X2,insertion(u,w,y,v),X1,x)
| ~ equidistant(X2,w,X1,y) ),
inference(spm,[status(thm)],[c_0_120,c_0_246]) ).
cnf(c_0_255,hypothesis,
colinear(y,insertion(u,w,X1,X2),w),
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_256,negated_conjecture,
( y = u
| v = y ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_251]) ).
cnf(c_0_257,hypothesis,
colinear(u,y,w),
inference(spm,[status(thm)],[c_0_87,c_0_80]) ).
cnf(c_0_258,hypothesis,
( equidistant(X1,X2,w,x)
| ~ equidistant(extension(v,u,u,v),u,X1,X2) ),
inference(spm,[status(thm)],[c_0_211,c_0_252]) ).
cnf(c_0_259,plain,
equidistant(X1,X2,X3,insertion(X3,X4,X2,X1)),
inference(spm,[status(thm)],[c_0_253,c_0_85]) ).
cnf(c_0_260,plain,
insertion(X1,X2,X3,extension(X4,X3,X5,X6)) = insertion(X1,X2,X5,X6),
inference(spm,[status(thm)],[c_0_66,c_0_150]) ).
cnf(c_0_261,hypothesis,
( colinear(w,x,y)
| ~ equidistant(y,insertion(u,w,y,v),w,x) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_67]),c_0_255])]) ).
cnf(c_0_262,hypothesis,
y = u,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_256]),c_0_257])]) ).
cnf(c_0_263,hypothesis,
equidistant(X1,insertion(X1,X2,u,v),w,x),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_260]) ).
cnf(c_0_264,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_261,c_0_262]),c_0_262]),c_0_262]),c_0_263])]),c_0_198]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.14 % Problem : GEO073-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.13/0.15 % Command : run_E %s %d THM
% 0.13/0.36 % Computer : n009.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 2400
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Tue Oct 3 06:42:29 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.20/0.49 Running first-order theorem proving
% 0.20/0.50 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.3dJlyyRkFO/E---3.1_11561.p
% 703.41/89.58 # Version: 3.1pre001
% 703.41/89.58 # Preprocessing class: FSLSSMSMSSSNFFN.
% 703.41/89.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 703.41/89.58 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 703.41/89.58 # Starting new_bool_3 with 300s (1) cores
% 703.41/89.58 # Starting new_bool_1 with 300s (1) cores
% 703.41/89.58 # Starting sh5l with 300s (1) cores
% 703.41/89.58 # sh5l with pid 11642 completed with status 0
% 703.41/89.58 # Result found by sh5l
% 703.41/89.58 # Preprocessing class: FSLSSMSMSSSNFFN.
% 703.41/89.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 703.41/89.58 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 703.41/89.58 # Starting new_bool_3 with 300s (1) cores
% 703.41/89.58 # Starting new_bool_1 with 300s (1) cores
% 703.41/89.58 # Starting sh5l with 300s (1) cores
% 703.41/89.58 # SinE strategy is gf500_gu_R04_F100_L20000
% 703.41/89.58 # Search class: FGHSM-FFMS33-SFFFFFNN
% 703.41/89.58 # partial match(1): FGHSM-FFMS32-SFFFFFNN
% 703.41/89.58 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 703.41/89.58 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 163s (1) cores
% 703.41/89.58 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 11645 completed with status 0
% 703.41/89.58 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 703.41/89.58 # Preprocessing class: FSLSSMSMSSSNFFN.
% 703.41/89.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 703.41/89.58 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 703.41/89.58 # Starting new_bool_3 with 300s (1) cores
% 703.41/89.58 # Starting new_bool_1 with 300s (1) cores
% 703.41/89.58 # Starting sh5l with 300s (1) cores
% 703.41/89.58 # SinE strategy is gf500_gu_R04_F100_L20000
% 703.41/89.58 # Search class: FGHSM-FFMS33-SFFFFFNN
% 703.41/89.58 # partial match(1): FGHSM-FFMS32-SFFFFFNN
% 703.41/89.58 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 703.41/89.58 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 163s (1) cores
% 703.41/89.58 # Preprocessing time : 0.002 s
% 703.41/89.58 # Presaturation interreduction done
% 703.41/89.58
% 703.41/89.58 # Proof found!
% 703.41/89.58 # SZS status Unsatisfiable
% 703.41/89.58 # SZS output start CNFRefutation
% See solution above
% 703.41/89.59 # Parsed axioms : 117
% 703.41/89.59 # Removed by relevancy pruning/SinE : 8
% 703.41/89.59 # Initial clauses : 109
% 703.41/89.59 # Removed in clause preprocessing : 1
% 703.41/89.59 # Initial clauses in saturation : 108
% 703.41/89.59 # Processed clauses : 133070
% 703.41/89.59 # ...of these trivial : 16224
% 703.41/89.59 # ...subsumed : 87363
% 703.41/89.59 # ...remaining for further processing : 29483
% 703.41/89.59 # Other redundant clauses eliminated : 8
% 703.41/89.59 # Clauses deleted for lack of memory : 449302
% 703.41/89.59 # Backward-subsumed : 2573
% 703.41/89.59 # Backward-rewritten : 14984
% 703.41/89.59 # Generated clauses : 2647649
% 703.41/89.59 # ...of the previous two non-redundant : 2456292
% 703.41/89.59 # ...aggressively subsumed : 0
% 703.41/89.59 # Contextual simplify-reflections : 122
% 703.41/89.59 # Paramodulations : 2647641
% 703.41/89.59 # Factorizations : 0
% 703.41/89.59 # NegExts : 0
% 703.41/89.59 # Equation resolutions : 8
% 703.41/89.59 # Total rewrite steps : 855724
% 703.41/89.59 # Propositional unsat checks : 5
% 703.41/89.59 # Propositional check models : 0
% 703.41/89.59 # Propositional check unsatisfiable : 0
% 703.41/89.59 # Propositional clauses : 0
% 703.41/89.59 # Propositional clauses after purity: 0
% 703.41/89.59 # Propositional unsat core size : 0
% 703.41/89.59 # Propositional preprocessing time : 0.000
% 703.41/89.59 # Propositional encoding time : 6.812
% 703.41/89.59 # Propositional solver time : 6.327
% 703.41/89.59 # Success case prop preproc time : 0.000
% 703.41/89.59 # Success case prop encoding time : 0.000
% 703.41/89.59 # Success case prop solver time : 0.000
% 703.41/89.59 # Current number of processed clauses : 11819
% 703.41/89.59 # Positive orientable unit clauses : 1597
% 703.41/89.59 # Positive unorientable unit clauses: 3
% 703.41/89.59 # Negative unit clauses : 853
% 703.41/89.59 # Non-unit-clauses : 9366
% 703.41/89.59 # Current number of unprocessed clauses: 1260201
% 703.41/89.59 # ...number of literals in the above : 4508235
% 703.41/89.59 # Current number of archived formulas : 0
% 703.41/89.59 # Current number of archived clauses : 17658
% 703.41/89.59 # Clause-clause subsumption calls (NU) : 70471432
% 703.41/89.59 # Rec. Clause-clause subsumption calls : 33469249
% 703.41/89.59 # Non-unit clause-clause subsumptions : 63057
% 703.41/89.59 # Unit Clause-clause subsumption calls : 4083808
% 703.41/89.59 # Rewrite failures with RHS unbound : 0
% 703.41/89.59 # BW rewrite match attempts : 312158
% 703.41/89.59 # BW rewrite match successes : 1367
% 703.41/89.59 # Condensation attempts : 0
% 703.41/89.59 # Condensation successes : 0
% 703.41/89.59 # Termbank termtop insertions : 114937770
% 703.41/89.59
% 703.41/89.59 # -------------------------------------------------
% 703.41/89.59 # User time : 86.321 s
% 703.41/89.59 # System time : 1.704 s
% 703.41/89.59 # Total time : 88.025 s
% 703.41/89.59 # Maximum resident set size: 1952 pages
% 703.41/89.59
% 703.41/89.59 # -------------------------------------------------
% 703.41/89.59 # User time : 86.328 s
% 703.41/89.59 # System time : 1.706 s
% 703.41/89.59 # Total time : 88.034 s
% 703.41/89.59 # Maximum resident set size: 1764 pages
% 703.41/89.59 % E---3.1 exiting
% 703.41/89.59 % E---3.1 exiting
%------------------------------------------------------------------------------