TSTP Solution File: GEO073-3 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---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 : n028.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 17:33:40 EDT 2023
% Result : Unsatisfiable 712.10s 90.25s
% Output : CNFRefutation 712.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 58
% Syntax : Number of clauses : 254 ( 116 unt; 51 nHn; 194 RR)
% Number of literals : 515 ( 122 equ; 214 neg)
% Maximal clause size : 8 ( 2 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 : 591 ( 72 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(b0,axiom,
( between(X2,X3,X1)
| X1 != extension(X2,X3,X4,X5) ),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.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.4R2UZeb9zo/E---3.1_18735.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.4R2UZeb9zo/E---3.1_18735.p',b6) ).
cnf(e3_1,axiom,
X1 != extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.p',e3_1) ).
cnf(t1,axiom,
( between(X3,X2,X1)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.p',t1) ).
cnf(i3,axiom,
( X2 = insertion(X1,X3,X1,X2)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.p',i3) ).
cnf(y_between_v_and_x,hypothesis,
between(v,y,x),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.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.4R2UZeb9zo/E---3.1_18735.p',i4) ).
cnf(reflexivity_for_equidistance,axiom,
equidistant(X1,X2,X2,X1),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.p',reflexivity_for_equidistance) ).
cnf(d4_5,axiom,
( equidistant(X4,X3,X2,X1)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.p',d4_5) ).
cnf(u_to_w_equals_v_to_x,hypothesis,
equidistant(u,w,v,x),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.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.4R2UZeb9zo/E---3.1_18735.p',t8) ).
cnf(d4_3,axiom,
( equidistant(X3,X4,X2,X1)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.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.4R2UZeb9zo/E---3.1_18735.p',i2_2) ).
cnf(y_between_u_and_w,hypothesis,
between(u,y,w),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.p',y_between_u_and_w) ).
cnf(t3,axiom,
between(X1,X2,X2),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.p',t3) ).
cnf(i2_1,axiom,
equidistant(X1,X2,X3,insertion(X3,X4,X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.p',i2_1) ).
cnf(c2_1,axiom,
( colinear(X3,X2,X1)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.p',c2_1) ).
cnf(colinearity1,axiom,
( colinear(X1,X2,X3)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.p',colinearity1) ).
cnf(e1,axiom,
X1 = extension(X2,X1,X3,X3),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.p',e1) ).
cnf(v_to_w_equals_x_to_u,hypothesis,
equidistant(v,w,x,u),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.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.4R2UZeb9zo/E---3.1_18735.p',i2_3) ).
cnf(d4_4,axiom,
( equidistant(X4,X3,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.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.4R2UZeb9zo/E---3.1_18735.p',t13) ).
cnf(t2,axiom,
between(X1,X1,X2),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.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.4R2UZeb9zo/E---3.1_18735.p',d14) ).
cnf(u_to_v_equals_w_to_x,hypothesis,
equidistant(u,v,w,x),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.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.4R2UZeb9zo/E---3.1_18735.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.4R2UZeb9zo/E---3.1_18735.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.4R2UZeb9zo/E---3.1_18735.p',e3_2) ).
cnf(b5,axiom,
( between(X2,X3,X4)
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.p',b5) ).
cnf(d4_2,axiom,
( equidistant(X2,X1,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.p',d4_2) ).
cnf(d4_1,axiom,
( equidistant(X1,X2,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.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.4R2UZeb9zo/E---3.1_18735.p',t12_2) ).
cnf(t10_4,axiom,
( colinear(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.p',t10_4) ).
cnf(segment_construction2,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.p',segment_construction2) ).
cnf(d2,axiom,
( equidistant(X3,X4,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.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.4R2UZeb9zo/E---3.1_18735.p',w1) ).
cnf(x_not_u,hypothesis,
x != u,
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.p',x_not_u) ).
cnf(u_not_v,hypothesis,
u != v,
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.p',u_not_v) ).
cnf(c3_3,axiom,
colinear(X1,X2,X2),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.p',c3_3) ).
cnf(t10_1,axiom,
( colinear(X3,X2,X1)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.p',t10_1) ).
cnf(t10_2,axiom,
( colinear(X2,X3,X1)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.p',t10_2) ).
cnf(colinearity2,axiom,
( colinear(X3,X1,X2)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.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.4R2UZeb9zo/E---3.1_18735.p',c5_2) ).
cnf(c2_3,axiom,
( colinear(X2,X1,X3)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.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.4R2UZeb9zo/E---3.1_18735.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.4R2UZeb9zo/E---3.1_18735.p',transitivity_for_equidistance) ).
cnf(b7,axiom,
( between(X1,X2,X4)
| X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.p',b7) ).
cnf(r2_1,axiom,
between(X1,X2,reflection(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.p',r2_1) ).
cnf(r6,axiom,
X1 = reflection(reflection(X1,X2),X2),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.p',r6) ).
cnf(reflection,axiom,
reflection(X1,X2) = extension(X1,X2,X1,X2),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.p',reflection) ).
cnf(d10_3,axiom,
( extension(X1,X2,X1,X2) = extension(X1,X2,X2,X1)
| X1 = X2 ),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.p',d10_3) ).
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.4R2UZeb9zo/E---3.1_18735.p',d10_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.4R2UZeb9zo/E---3.1_18735.p',d5) ).
cnf(r4,axiom,
( X2 = X1
| X1 != reflection(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.p',r4) ).
cnf(b2,axiom,
( X1 = X2
| ~ between(X1,X2,X3)
| ~ between(X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.p',b2) ).
cnf(prove_bisection,negated_conjecture,
( ~ equidistant(u,y,w,y)
| ~ equidistant(v,y,x,y) ),
file('/export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.p',prove_bisection) ).
cnf(c_0_58,axiom,
( between(X2,X3,X1)
| X1 != extension(X2,X3,X4,X5) ),
b0 ).
cnf(c_0_59,plain,
between(X1,X2,extension(X1,X2,X3,X4)),
inference(er,[status(thm)],[c_0_58]) ).
cnf(c_0_60,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_61,axiom,
( between(X1,X3,X4)
| X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X2,X3,X4) ),
b6 ).
cnf(c_0_62,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_59,c_0_60]) ).
cnf(c_0_63,axiom,
X1 != extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),
e3_1 ).
cnf(c_0_64,axiom,
( between(X3,X2,X1)
| ~ between(X1,X2,X3) ),
t1 ).
cnf(c_0_65,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_61,c_0_62]),c_0_63]) ).
cnf(c_0_66,plain,
between(extension(X1,X2,X3,X4),X2,X1),
inference(spm,[status(thm)],[c_0_64,c_0_59]) ).
cnf(c_0_67,axiom,
( X2 = insertion(X1,X3,X1,X2)
| ~ between(X1,X2,X3) ),
i3 ).
cnf(c_0_68,hypothesis,
between(v,y,x),
y_between_v_and_x ).
cnf(c_0_69,axiom,
( insertion(X5,X6,X1,X2) = insertion(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X3,X4) ),
i4 ).
cnf(c_0_70,axiom,
equidistant(X1,X2,X2,X1),
reflexivity_for_equidistance ).
cnf(c_0_71,axiom,
( equidistant(X4,X3,X2,X1)
| ~ equidistant(X1,X2,X3,X4) ),
d4_5 ).
cnf(c_0_72,hypothesis,
equidistant(u,w,v,x),
u_to_w_equals_v_to_x ).
cnf(c_0_73,axiom,
( between(X1,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X2,X4,X5)
| ~ between(X1,X5,X3) ),
t8 ).
cnf(c_0_74,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_65,c_0_66]) ).
cnf(c_0_75,hypothesis,
insertion(v,x,v,y) = y,
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_76,plain,
insertion(X1,X2,X3,X4) = insertion(X1,X2,X4,X3),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_77,axiom,
( equidistant(X3,X4,X2,X1)
| ~ equidistant(X1,X2,X3,X4) ),
d4_3 ).
cnf(c_0_78,hypothesis,
equidistant(x,v,w,u),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_79,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_73,c_0_74]) ).
cnf(c_0_80,hypothesis,
insertion(v,x,y,v) = y,
inference(rw,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_81,axiom,
( between(X4,insertion(X4,X5,X1,X2),X5)
| ~ between(X1,X2,X3)
| ~ equidistant(X1,X3,X4,X5) ),
i2_2 ).
cnf(c_0_82,hypothesis,
equidistant(w,u,v,x),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_83,hypothesis,
between(u,y,w),
y_between_u_and_w ).
cnf(c_0_84,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_79,c_0_80]) ).
cnf(c_0_85,axiom,
between(X1,X2,X2),
t3 ).
cnf(c_0_86,hypothesis,
( between(v,insertion(v,x,w,X1),x)
| ~ between(w,X1,u) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_87,hypothesis,
between(w,y,u),
inference(spm,[status(thm)],[c_0_64,c_0_83]) ).
cnf(c_0_88,axiom,
equidistant(X1,X2,X3,insertion(X3,X4,X1,X2)),
i2_1 ).
cnf(c_0_89,axiom,
( colinear(X3,X2,X1)
| ~ between(X1,X2,X3) ),
c2_1 ).
cnf(c_0_90,axiom,
( colinear(X1,X2,X3)
| ~ between(X1,X2,X3) ),
colinearity1 ).
cnf(c_0_91,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_84,c_0_85]) ).
cnf(c_0_92,axiom,
X1 = extension(X2,X1,X3,X3),
e1 ).
cnf(c_0_93,hypothesis,
equidistant(v,w,x,u),
v_to_w_equals_x_to_u ).
cnf(c_0_94,axiom,
( equidistant(X2,X3,insertion(X4,X5,X1,X2),X5)
| ~ between(X1,X2,X3)
| ~ equidistant(X1,X3,X4,X5) ),
i2_3 ).
cnf(c_0_95,axiom,
( equidistant(X4,X3,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
d4_4 ).
cnf(c_0_96,plain,
( between(X1,insertion(X1,X2,X2,X3),X2)
| ~ between(X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_81,c_0_70]) ).
cnf(c_0_97,hypothesis,
between(v,insertion(v,x,y,w),x),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_76]) ).
cnf(c_0_98,plain,
insertion(X1,X2,X3,insertion(X3,X4,X5,X6)) = insertion(X1,X2,X5,X6),
inference(spm,[status(thm)],[c_0_69,c_0_88]) ).
cnf(c_0_99,hypothesis,
insertion(w,u,w,y) = y,
inference(spm,[status(thm)],[c_0_67,c_0_87]) ).
cnf(c_0_100,axiom,
( colinear(X3,X4,X5)
| X1 = X2
| ~ colinear(X1,X2,X3)
| ~ colinear(X1,X2,X4)
| ~ colinear(X1,X2,X5) ),
t13 ).
cnf(c_0_101,plain,
colinear(extension(X1,X2,X3,X4),X2,X1),
inference(spm,[status(thm)],[c_0_89,c_0_59]) ).
cnf(c_0_102,plain,
colinear(X1,X2,extension(X1,X2,X3,X4)),
inference(spm,[status(thm)],[c_0_90,c_0_59]) ).
cnf(c_0_103,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_91,c_0_92]) ).
cnf(c_0_104,axiom,
between(X1,X1,X2),
t2 ).
cnf(c_0_105,hypothesis,
equidistant(u,x,w,v),
inference(spm,[status(thm)],[c_0_71,c_0_93]) ).
cnf(c_0_106,hypothesis,
( equidistant(X1,w,insertion(v,x,u,X1),x)
| ~ between(u,X1,w) ),
inference(spm,[status(thm)],[c_0_94,c_0_72]) ).
cnf(c_0_107,hypothesis,
( between(v,insertion(v,x,u,X1),x)
| ~ between(u,X1,w) ),
inference(spm,[status(thm)],[c_0_81,c_0_72]) ).
cnf(c_0_108,hypothesis,
equidistant(u,w,x,v),
inference(spm,[status(thm)],[c_0_95,c_0_78]) ).
cnf(c_0_109,hypothesis,
between(x,insertion(x,v,y,w),v),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98]) ).
cnf(c_0_110,hypothesis,
( equidistant(X1,v,insertion(w,u,x,X1),u)
| ~ between(x,X1,v) ),
inference(spm,[status(thm)],[c_0_94,c_0_78]) ).
cnf(c_0_111,hypothesis,
insertion(w,u,y,w) = y,
inference(rw,[status(thm)],[c_0_99,c_0_76]) ).
cnf(c_0_112,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_100,c_0_101]) ).
cnf(c_0_113,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_102,c_0_60]) ).
cnf(c_0_114,hypothesis,
between(extension(x,v,lower_dimension_point_1,lower_dimension_point_2),v,y),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_115,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_116,hypothesis,
equidistant(v,w,u,x),
inference(spm,[status(thm)],[c_0_95,c_0_105]) ).
cnf(c_0_117,hypothesis,
equidistant(y,w,insertion(v,x,u,y),x),
inference(spm,[status(thm)],[c_0_106,c_0_83]) ).
cnf(c_0_118,hypothesis,
between(v,insertion(v,x,u,y),x),
inference(spm,[status(thm)],[c_0_107,c_0_83]) ).
cnf(c_0_119,hypothesis,
( between(x,insertion(x,v,u,X1),v)
| ~ between(u,X1,w) ),
inference(spm,[status(thm)],[c_0_81,c_0_108]) ).
cnf(c_0_120,hypothesis,
equidistant(x,v,u,w),
inference(spm,[status(thm)],[c_0_95,c_0_72]) ).
cnf(c_0_121,hypothesis,
equidistant(u,v,w,x),
u_to_v_equals_w_to_x ).
cnf(c_0_122,hypothesis,
( equidistant(X1,u,insertion(v,x,w,X1),x)
| ~ between(w,X1,u) ),
inference(spm,[status(thm)],[c_0_94,c_0_82]) ).
cnf(c_0_123,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_124,hypothesis,
between(v,insertion(x,v,y,w),x),
inference(spm,[status(thm)],[c_0_64,c_0_109]) ).
cnf(c_0_125,hypothesis,
equidistant(insertion(x,v,y,w),v,y,u),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_109]),c_0_98]),c_0_111]) ).
cnf(c_0_126,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_112,c_0_113]),c_0_63]) ).
cnf(c_0_127,hypothesis,
colinear(extension(x,v,lower_dimension_point_1,lower_dimension_point_2),v,y),
inference(spm,[status(thm)],[c_0_90,c_0_114]) ).
cnf(c_0_128,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_115,c_0_116]) ).
cnf(c_0_129,hypothesis,
equidistant(x,insertion(v,x,u,y),w,y),
inference(spm,[status(thm)],[c_0_71,c_0_117]) ).
cnf(c_0_130,hypothesis,
between(x,insertion(v,x,u,y),v),
inference(spm,[status(thm)],[c_0_64,c_0_118]) ).
cnf(c_0_131,plain,
equidistant(insertion(X1,X2,X3,X4),X1,X4,X3),
inference(spm,[status(thm)],[c_0_71,c_0_88]) ).
cnf(c_0_132,axiom,
( X1 = X2
| X3 = X4
| ~ between(X1,X2,X3)
| ~ between(X1,X2,X4)
| ~ equidistant(X2,X3,X2,X4) ),
d9 ).
cnf(c_0_133,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_134,axiom,
( between(X2,X3,X4)
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X4) ),
b5 ).
cnf(c_0_135,hypothesis,
between(x,insertion(x,v,u,y),v),
inference(spm,[status(thm)],[c_0_119,c_0_83]) ).
cnf(c_0_136,hypothesis,
( equidistant(X1,v,insertion(u,w,x,X1),w)
| ~ between(x,X1,v) ),
inference(spm,[status(thm)],[c_0_94,c_0_120]) ).
cnf(c_0_137,hypothesis,
insertion(u,w,u,y) = y,
inference(spm,[status(thm)],[c_0_67,c_0_83]) ).
cnf(c_0_138,hypothesis,
equidistant(w,x,v,u),
inference(spm,[status(thm)],[c_0_77,c_0_121]) ).
cnf(c_0_139,axiom,
( equidistant(X2,X1,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
d4_2 ).
cnf(c_0_140,hypothesis,
equidistant(y,u,insertion(v,x,y,w),x),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_87]),c_0_76]) ).
cnf(c_0_141,axiom,
( equidistant(X1,X2,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
d4_1 ).
cnf(c_0_142,axiom,
( colinear(X2,X3,X4)
| X1 = X2
| ~ colinear(X1,X2,X3)
| ~ colinear(X1,X2,X4) ),
t12_2 ).
cnf(c_0_143,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_123,c_0_70]) ).
cnf(c_0_144,plain,
equidistant(X1,insertion(X1,X2,X3,X4),X4,X3),
inference(spm,[status(thm)],[c_0_77,c_0_88]) ).
cnf(c_0_145,hypothesis,
insertion(v,x,v,insertion(x,v,y,w)) = insertion(x,v,y,w),
inference(spm,[status(thm)],[c_0_67,c_0_124]) ).
cnf(c_0_146,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_69,c_0_125]),c_0_76]),c_0_76]) ).
cnf(c_0_147,axiom,
( colinear(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
t10_4 ).
cnf(c_0_148,hypothesis,
colinear(y,insertion(v,x,X1,X2),x),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_149,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_128,c_0_129]),c_0_87]),c_0_130]),c_0_131]),c_0_70])]) ).
cnf(c_0_150,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_132,c_0_133]) ).
cnf(c_0_151,plain,
( between(X1,X2,extension(X3,X2,X4,X5))
| ~ between(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_134,c_0_59]) ).
cnf(c_0_152,hypothesis,
between(x,y,v),
inference(spm,[status(thm)],[c_0_64,c_0_68]) ).
cnf(c_0_153,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
segment_construction2 ).
cnf(c_0_154,hypothesis,
between(v,insertion(x,v,u,y),x),
inference(spm,[status(thm)],[c_0_64,c_0_135]) ).
cnf(c_0_155,hypothesis,
equidistant(insertion(x,v,u,y),v,y,w),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_135]),c_0_98]),c_0_137]) ).
cnf(c_0_156,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_115,c_0_138]) ).
cnf(c_0_157,hypothesis,
equidistant(u,y,x,insertion(v,x,y,w)),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_158,hypothesis,
between(x,insertion(v,x,y,w),v),
inference(spm,[status(thm)],[c_0_64,c_0_97]) ).
cnf(c_0_159,plain,
equidistant(X1,X2,insertion(X3,X4,X1,X2),X3),
inference(spm,[status(thm)],[c_0_141,c_0_88]) ).
cnf(c_0_160,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_142,c_0_113]),c_0_63]) ).
cnf(c_0_161,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_143,c_0_144]) ).
cnf(c_0_162,hypothesis,
insertion(x,v,y,w) = insertion(v,x,u,y),
inference(rw,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_163,hypothesis,
colinear(x,y,insertion(v,x,X1,X2)),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_164,hypothesis,
equidistant(x,y,w,insertion(v,x,u,y)),
inference(spm,[status(thm)],[c_0_71,c_0_149]) ).
cnf(c_0_165,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_150,c_0_59]) ).
cnf(c_0_166,hypothesis,
between(y,v,extension(x,v,X1,X2)),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_167,axiom,
( equidistant(X3,X4,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
d2 ).
cnf(c_0_168,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_169,hypothesis,
x != u,
x_not_u ).
cnf(c_0_170,hypothesis,
u != v,
u_not_v ).
cnf(c_0_171,plain,
equidistant(X1,insertion(X1,X2,X3,X4),X3,X4),
inference(spm,[status(thm)],[c_0_153,c_0_60]) ).
cnf(c_0_172,hypothesis,
insertion(v,x,v,insertion(x,v,u,y)) = insertion(x,v,u,y),
inference(spm,[status(thm)],[c_0_67,c_0_154]) ).
cnf(c_0_173,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_69,c_0_155]),c_0_76]) ).
cnf(c_0_174,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_156,c_0_157]),c_0_158]),c_0_83]),c_0_159]),c_0_70])]) ).
cnf(c_0_175,axiom,
colinear(X1,X2,X2),
c3_3 ).
cnf(c_0_176,axiom,
( colinear(X3,X2,X1)
| ~ colinear(X1,X2,X3) ),
t10_1 ).
cnf(c_0_177,plain,
colinear(X1,X2,insertion(X1,X2,X3,X4)),
inference(spm,[status(thm)],[c_0_160,c_0_101]) ).
cnf(c_0_178,axiom,
( colinear(X2,X3,X1)
| ~ colinear(X1,X2,X3) ),
t10_2 ).
cnf(c_0_179,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_161,c_0_162]),c_0_163]),c_0_164])]) ).
cnf(c_0_180,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_165,c_0_166]) ).
cnf(c_0_181,hypothesis,
equidistant(x,u,v,w),
inference(spm,[status(thm)],[c_0_167,c_0_93]) ).
cnf(c_0_182,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_168,c_0_93]),c_0_72]),c_0_121])]),c_0_169]),c_0_170]) ).
cnf(c_0_183,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_143,c_0_171]) ).
cnf(c_0_184,hypothesis,
insertion(x,v,u,y) = insertion(v,x,y,w),
inference(rw,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_185,hypothesis,
equidistant(x,y,u,insertion(v,x,y,w)),
inference(spm,[status(thm)],[c_0_139,c_0_174]) ).
cnf(c_0_186,axiom,
( colinear(X3,X1,X2)
| ~ between(X1,X2,X3) ),
colinearity2 ).
cnf(c_0_187,plain,
( X1 = X2
| colinear(X3,X4,X2)
| ~ colinear(X1,X2,X4)
| ~ colinear(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_100,c_0_175]) ).
cnf(c_0_188,plain,
colinear(insertion(X1,X2,X3,X4),X2,X1),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_189,hypothesis,
colinear(insertion(v,x,u,y),y,w),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_190,hypothesis,
( insertion(v,x,X1,X2) = insertion(v,y,X1,X2)
| v = y ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_180]),c_0_60]) ).
cnf(c_0_191,hypothesis,
equidistant(w,v,x,u),
inference(spm,[status(thm)],[c_0_77,c_0_105]) ).
cnf(c_0_192,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_123,c_0_181]) ).
cnf(c_0_193,hypothesis,
equidistant(w,x,u,v),
inference(spm,[status(thm)],[c_0_167,c_0_121]) ).
cnf(c_0_194,hypothesis,
~ colinear(u,v,w),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_68]),c_0_83])]) ).
cnf(c_0_195,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_183,c_0_184]),c_0_163]),c_0_185])]) ).
cnf(c_0_196,axiom,
( colinear(X4,X1,X2)
| X3 = X2
| ~ colinear(X1,X2,X3)
| ~ colinear(X4,X2,X3) ),
c5_2 ).
cnf(c_0_197,hypothesis,
colinear(x,v,y),
inference(spm,[status(thm)],[c_0_186,c_0_68]) ).
cnf(c_0_198,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_187,c_0_188]) ).
cnf(c_0_199,hypothesis,
( v = y
| colinear(insertion(v,y,u,y),y,w) ),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_200,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_123,c_0_191]) ).
cnf(c_0_201,hypothesis,
~ colinear(w,x,u),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_70]),c_0_193])]),c_0_194]) ).
cnf(c_0_202,axiom,
( colinear(X2,X1,X3)
| ~ between(X1,X2,X3) ),
c2_3 ).
cnf(c_0_203,hypothesis,
colinear(insertion(v,x,y,w),y,u),
inference(spm,[status(thm)],[c_0_178,c_0_195]) ).
cnf(c_0_204,hypothesis,
( v = y
| colinear(x,X1,v)
| ~ colinear(X1,v,y) ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_205,hypothesis,
( insertion(v,y,u,y) = y
| v = y
| colinear(w,v,y) ),
inference(spm,[status(thm)],[c_0_198,c_0_199]) ).
cnf(c_0_206,hypothesis,
~ colinear(x,w,v),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_78]),c_0_70])]),c_0_201]) ).
cnf(c_0_207,hypothesis,
colinear(y,u,w),
inference(spm,[status(thm)],[c_0_202,c_0_83]) ).
cnf(c_0_208,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_142,c_0_188]) ).
cnf(c_0_209,hypothesis,
( v = y
| colinear(insertion(v,y,y,w),y,u) ),
inference(spm,[status(thm)],[c_0_203,c_0_190]) ).
cnf(c_0_210,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_211,hypothesis,
equidistant(v,x,u,w),
inference(spm,[status(thm)],[c_0_167,c_0_72]) ).
cnf(c_0_212,hypothesis,
( insertion(v,y,u,y) = y
| v = y ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_206]) ).
cnf(c_0_213,axiom,
( equidistant(X3,X4,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
transitivity_for_equidistance ).
cnf(c_0_214,plain,
equidistant(insertion(X1,X2,X3,X4),X1,X3,X4),
inference(spm,[status(thm)],[c_0_95,c_0_88]) ).
cnf(c_0_215,hypothesis,
( y = u
| colinear(u,X1,w)
| ~ colinear(y,u,X1) ),
inference(spm,[status(thm)],[c_0_142,c_0_207]) ).
cnf(c_0_216,hypothesis,
( insertion(v,y,y,w) = y
| v = y
| colinear(y,u,v) ),
inference(spm,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_217,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_210,c_0_211]) ).
cnf(c_0_218,hypothesis,
( v = y
| equidistant(v,y,u,y) ),
inference(spm,[status(thm)],[c_0_171,c_0_212]) ).
cnf(c_0_219,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(insertion(X5,X6,X3,X4),X5,X1,X2) ),
inference(spm,[status(thm)],[c_0_213,c_0_214]) ).
cnf(c_0_220,hypothesis,
( insertion(v,y,y,w) = y
| v = y
| y = u ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_194]) ).
cnf(c_0_221,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_217,c_0_218]),c_0_83]),c_0_68])]) ).
cnf(c_0_222,axiom,
( between(X1,X2,X4)
| X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X2,X3,X4) ),
b7 ).
cnf(c_0_223,axiom,
between(X1,X2,reflection(X1,X2)),
r2_1 ).
cnf(c_0_224,axiom,
X1 = reflection(reflection(X1,X2),X2),
r6 ).
cnf(c_0_225,axiom,
reflection(X1,X2) = extension(X1,X2,X1,X2),
reflection ).
cnf(c_0_226,axiom,
( extension(X1,X2,X1,X2) = extension(X1,X2,X2,X1)
| X1 = X2 ),
d10_3 ).
cnf(c_0_227,axiom,
( extension(X5,X6,X1,X2) = extension(X5,X6,X3,X4)
| X5 = X6
| ~ equidistant(X1,X2,X3,X4) ),
d10_2 ).
cnf(c_0_228,hypothesis,
( v = y
| equidistant(X1,X2,u,y)
| ~ equidistant(y,v,X1,X2) ),
inference(spm,[status(thm)],[c_0_219,c_0_212]) ).
cnf(c_0_229,hypothesis,
( y = u
| v = y
| equidistant(y,v,w,y) ),
inference(spm,[status(thm)],[c_0_131,c_0_220]) ).
cnf(c_0_230,axiom,
( equidistant(X1,X2,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X3,X4,X5,X6) ),
d5 ).
cnf(c_0_231,hypothesis,
( v = y
| equidistant(w,y,x,y) ),
inference(spm,[status(thm)],[c_0_71,c_0_221]) ).
cnf(c_0_232,hypothesis,
( v = y
| between(X1,v,x)
| ~ between(X1,v,y) ),
inference(spm,[status(thm)],[c_0_222,c_0_68]) ).
cnf(c_0_233,plain,
between(reflection(X1,X2),X2,X1),
inference(spm,[status(thm)],[c_0_223,c_0_224]) ).
cnf(c_0_234,axiom,
( X2 = X1
| X1 != reflection(X2,X1) ),
r4 ).
cnf(c_0_235,plain,
( reflection(X1,X2) = extension(X1,X2,X2,X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_225,c_0_226]) ).
cnf(c_0_236,plain,
( extension(X1,X2,X3,insertion(X3,X4,X5,X6)) = extension(X1,X2,X5,X6)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_227,c_0_88]) ).
cnf(c_0_237,hypothesis,
( y = u
| v = y
| equidistant(w,y,u,y) ),
inference(spm,[status(thm)],[c_0_228,c_0_229]) ).
cnf(c_0_238,hypothesis,
( v = y
| equidistant(X1,X2,x,y)
| ~ equidistant(X1,X2,w,y) ),
inference(spm,[status(thm)],[c_0_230,c_0_231]) ).
cnf(c_0_239,hypothesis,
( y = u
| v = y
| equidistant(v,y,w,y) ),
inference(spm,[status(thm)],[c_0_144,c_0_220]) ).
cnf(c_0_240,axiom,
( X1 = X2
| ~ between(X1,X2,X3)
| ~ between(X2,X1,X3) ),
b2 ).
cnf(c_0_241,hypothesis,
( v = y
| between(extension(y,v,y,v),v,x) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_225]) ).
cnf(c_0_242,plain,
( X1 = X2
| extension(X2,X1,X2,X1) != X1 ),
inference(spm,[status(thm)],[c_0_234,c_0_225]) ).
cnf(c_0_243,plain,
( reflection(insertion(X1,X2,X3,X4),X1) = extension(insertion(X1,X2,X3,X4),X1,X3,X4)
| insertion(X1,X2,X3,X4) = X1 ),
inference(spm,[status(thm)],[c_0_235,c_0_236]) ).
cnf(c_0_244,negated_conjecture,
( ~ equidistant(u,y,w,y)
| ~ equidistant(v,y,x,y) ),
prove_bisection ).
cnf(c_0_245,hypothesis,
( v = y
| y = u
| equidistant(u,y,w,y) ),
inference(spm,[status(thm)],[c_0_167,c_0_237]) ).
cnf(c_0_246,hypothesis,
( y = u
| v = y
| equidistant(v,y,x,y) ),
inference(spm,[status(thm)],[c_0_238,c_0_239]) ).
cnf(c_0_247,hypothesis,
( v = y
| ~ between(v,extension(y,v,y,v),x) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_242]) ).
cnf(c_0_248,hypothesis,
( extension(y,v,y,v) = extension(y,v,u,y)
| v = y ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_212]),c_0_225]) ).
cnf(c_0_249,negated_conjecture,
( y = u
| v = y ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_246]) ).
cnf(c_0_250,hypothesis,
colinear(u,y,w),
inference(spm,[status(thm)],[c_0_90,c_0_83]) ).
cnf(c_0_251,hypothesis,
( v = y
| ~ between(v,extension(y,v,u,y),x) ),
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_252,hypothesis,
y = u,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_249]),c_0_250])]) ).
cnf(c_0_253,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)],[inference(rw,[status(thm)],[c_0_251,c_0_252]),c_0_252]),c_0_252]),c_0_92]),c_0_104])]),c_0_170]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GEO073-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.02/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n028.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Oct 3 07:03:07 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.42 Running first-order model finding
% 0.15/0.42 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.4R2UZeb9zo/E---3.1_18735.p
% 712.10/90.25 # Version: 3.1pre001
% 712.10/90.25 # Preprocessing class: FSLSSMSMSSSNFFN.
% 712.10/90.25 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 712.10/90.25 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 712.10/90.25 # Starting new_bool_3 with 300s (1) cores
% 712.10/90.25 # Starting new_bool_1 with 300s (1) cores
% 712.10/90.25 # Starting sh5l with 300s (1) cores
% 712.10/90.25 # sh5l with pid 18815 completed with status 0
% 712.10/90.25 # Result found by sh5l
% 712.10/90.25 # Preprocessing class: FSLSSMSMSSSNFFN.
% 712.10/90.25 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 712.10/90.25 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 712.10/90.25 # Starting new_bool_3 with 300s (1) cores
% 712.10/90.25 # Starting new_bool_1 with 300s (1) cores
% 712.10/90.25 # Starting sh5l with 300s (1) cores
% 712.10/90.25 # SinE strategy is gf500_gu_R04_F100_L20000
% 712.10/90.25 # Search class: FGHSM-FFMS33-SFFFFFNN
% 712.10/90.25 # partial match(1): FGHSM-FFMS32-SFFFFFNN
% 712.10/90.25 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 712.10/90.25 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 163s (1) cores
% 712.10/90.25 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 18818 completed with status 0
% 712.10/90.25 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 712.10/90.25 # Preprocessing class: FSLSSMSMSSSNFFN.
% 712.10/90.25 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 712.10/90.25 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 712.10/90.25 # Starting new_bool_3 with 300s (1) cores
% 712.10/90.25 # Starting new_bool_1 with 300s (1) cores
% 712.10/90.25 # Starting sh5l with 300s (1) cores
% 712.10/90.25 # SinE strategy is gf500_gu_R04_F100_L20000
% 712.10/90.25 # Search class: FGHSM-FFMS33-SFFFFFNN
% 712.10/90.25 # partial match(1): FGHSM-FFMS32-SFFFFFNN
% 712.10/90.25 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 712.10/90.25 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 163s (1) cores
% 712.10/90.25 # Preprocessing time : 0.002 s
% 712.10/90.25 # Presaturation interreduction done
% 712.10/90.25
% 712.10/90.25 # Proof found!
% 712.10/90.25 # SZS status Unsatisfiable
% 712.10/90.25 # SZS output start CNFRefutation
% See solution above
% 712.10/90.26 # Parsed axioms : 117
% 712.10/90.26 # Removed by relevancy pruning/SinE : 8
% 712.10/90.26 # Initial clauses : 109
% 712.10/90.26 # Removed in clause preprocessing : 1
% 712.10/90.26 # Initial clauses in saturation : 108
% 712.10/90.26 # Processed clauses : 133070
% 712.10/90.26 # ...of these trivial : 16224
% 712.10/90.26 # ...subsumed : 87363
% 712.10/90.26 # ...remaining for further processing : 29483
% 712.10/90.26 # Other redundant clauses eliminated : 8
% 712.10/90.26 # Clauses deleted for lack of memory : 449304
% 712.10/90.26 # Backward-subsumed : 2573
% 712.10/90.26 # Backward-rewritten : 14984
% 712.10/90.26 # Generated clauses : 2647649
% 712.10/90.26 # ...of the previous two non-redundant : 2456256
% 712.10/90.26 # ...aggressively subsumed : 0
% 712.10/90.26 # Contextual simplify-reflections : 122
% 712.10/90.26 # Paramodulations : 2647641
% 712.10/90.26 # Factorizations : 0
% 712.10/90.26 # NegExts : 0
% 712.10/90.26 # Equation resolutions : 8
% 712.10/90.26 # Total rewrite steps : 855508
% 712.10/90.26 # Propositional unsat checks : 5
% 712.10/90.26 # Propositional check models : 0
% 712.10/90.26 # Propositional check unsatisfiable : 0
% 712.10/90.26 # Propositional clauses : 0
% 712.10/90.26 # Propositional clauses after purity: 0
% 712.10/90.26 # Propositional unsat core size : 0
% 712.10/90.26 # Propositional preprocessing time : 0.000
% 712.10/90.26 # Propositional encoding time : 6.488
% 712.10/90.26 # Propositional solver time : 5.971
% 712.10/90.26 # Success case prop preproc time : 0.000
% 712.10/90.26 # Success case prop encoding time : 0.000
% 712.10/90.26 # Success case prop solver time : 0.000
% 712.10/90.26 # Current number of processed clauses : 11819
% 712.10/90.26 # Positive orientable unit clauses : 1597
% 712.10/90.26 # Positive unorientable unit clauses: 3
% 712.10/90.26 # Negative unit clauses : 853
% 712.10/90.26 # Non-unit-clauses : 9366
% 712.10/90.26 # Current number of unprocessed clauses: 1260201
% 712.10/90.26 # ...number of literals in the above : 4508243
% 712.10/90.26 # Current number of archived formulas : 0
% 712.10/90.26 # Current number of archived clauses : 17658
% 712.10/90.26 # Clause-clause subsumption calls (NU) : 70465818
% 712.10/90.26 # Rec. Clause-clause subsumption calls : 33467147
% 712.10/90.26 # Non-unit clause-clause subsumptions : 63057
% 712.10/90.26 # Unit Clause-clause subsumption calls : 4083791
% 712.10/90.26 # Rewrite failures with RHS unbound : 0
% 712.10/90.26 # BW rewrite match attempts : 312157
% 712.10/90.26 # BW rewrite match successes : 1367
% 712.10/90.26 # Condensation attempts : 0
% 712.10/90.26 # Condensation successes : 0
% 712.10/90.26 # Termbank termtop insertions : 114937553
% 712.10/90.26
% 712.10/90.26 # -------------------------------------------------
% 712.10/90.26 # User time : 87.344 s
% 712.10/90.26 # System time : 1.700 s
% 712.10/90.26 # Total time : 89.044 s
% 712.10/90.26 # Maximum resident set size: 1960 pages
% 712.10/90.26
% 712.10/90.26 # -------------------------------------------------
% 712.10/90.26 # User time : 87.347 s
% 712.10/90.26 # System time : 1.704 s
% 712.10/90.26 # Total time : 89.051 s
% 712.10/90.26 # Maximum resident set size: 1760 pages
% 712.10/90.26 % E---3.1 exiting
%------------------------------------------------------------------------------