TSTP Solution File: GEO070-3 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO070-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 22:45:55 EDT 2023
% Result : Unsatisfiable 7.83s 7.89s
% Output : CNFRefutation 7.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 54
% Syntax : Number of formulae : 186 ( 50 unt; 18 typ; 0 def)
% Number of atoms : 375 ( 13 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 408 ( 201 ~; 207 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 41 ( 10 >; 31 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-6 aty)
% Number of variables : 262 ( 10 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
equidistant: ( $i * $i * $i * $i ) > $o ).
tff(decl_23,type,
extension: ( $i * $i * $i * $i ) > $i ).
tff(decl_24,type,
between: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
inner_pasch: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_26,type,
lower_dimension_point_1: $i ).
tff(decl_27,type,
lower_dimension_point_2: $i ).
tff(decl_28,type,
lower_dimension_point_3: $i ).
tff(decl_29,type,
euclid1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_30,type,
euclid2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_31,type,
continuous: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_32,type,
colinear: ( $i * $i * $i ) > $o ).
tff(decl_33,type,
reflection: ( $i * $i ) > $i ).
tff(decl_34,type,
insertion: ( $i * $i * $i * $i ) > $i ).
tff(decl_35,type,
u: $i ).
tff(decl_36,type,
v: $i ).
tff(decl_37,type,
w: $i ).
tff(decl_38,type,
x: $i ).
tff(decl_39,type,
y: $i ).
cnf(d4_5,axiom,
( equidistant(X4,X3,X2,X1)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_5) ).
cnf(v_to_w_equals_x_to_u,hypothesis,
equidistant(v,w,x,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_to_w_equals_x_to_u) ).
cnf(d4_2,axiom,
( equidistant(X2,X1,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_2) ).
cnf(t10_1,axiom,
( colinear(X3,X2,X1)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_1) ).
cnf(prove_uvw_not_colinear,negated_conjecture,
colinear(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_uvw_not_colinear) ).
cnf(d4_3,axiom,
( equidistant(X3,X4,X2,X1)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_3) ).
cnf(d3,axiom,
( equidistant(X2,X1,X3,X4)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3) ).
cnf(u_to_v_equals_w_to_x,hypothesis,
equidistant(u,v,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_v_equals_w_to_x) ).
cnf(d2,axiom,
( equidistant(X3,X4,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2) ).
cnf(u_to_w_equals_v_to_x,hypothesis,
equidistant(u,w,v,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_w_equals_v_to_x) ).
cnf(t10_4,axiom,
( colinear(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_4) ).
cnf(d4_4,axiom,
( equidistant(X4,X3,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_4) ).
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/benchmark/theBenchmark.p',c4) ).
cnf(b11,axiom,
( between(X3,X4,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X5,X3,X6)
| ~ between(X1,X2,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b11) ).
cnf(reflexivity_for_equidistance,axiom,
equidistant(X1,X2,X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).
cnf(d4_1,axiom,
( equidistant(X1,X2,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_1) ).
cnf(c5_1,axiom,
( colinear(X4,X1,X3)
| X3 = X2
| ~ colinear(X1,X2,X3)
| ~ colinear(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c5_1) ).
cnf(u_not_v,hypothesis,
u != v,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_not_v) ).
cnf(b9,axiom,
( between(X1,X2,X4)
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b9) ).
cnf(t2,axiom,
between(X1,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2) ).
cnf(b8,axiom,
( between(X1,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b8) ).
cnf(y_between_u_and_w,hypothesis,
between(u,y,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',y_between_u_and_w) ).
cnf(b5,axiom,
( between(X2,X3,X4)
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b5) ).
cnf(y_between_v_and_x,hypothesis,
between(v,y,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',y_between_v_and_x) ).
cnf(d7,axiom,
equidistant(X1,X1,X2,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7) ).
cnf(c2_1,axiom,
( colinear(X3,X2,X1)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2_1) ).
cnf(t10_2,axiom,
( colinear(X2,X3,X1)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_2) ).
cnf(t1,axiom,
( between(X3,X2,X1)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).
cnf(b3,axiom,
( X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b3) ).
cnf(x_not_u,hypothesis,
x != u,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_not_u) ).
cnf(b2,axiom,
( X1 = X2
| ~ between(X1,X2,X3)
| ~ between(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b2) ).
cnf(b7,axiom,
( between(X1,X2,X4)
| X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b7) ).
cnf(b14,axiom,
( between(X2,X4,X3)
| between(X4,X2,X3)
| ~ between(X1,X2,X3)
| ~ between(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b14) ).
cnf(t8,axiom,
( between(X1,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X2,X4,X5)
| ~ between(X1,X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8) ).
cnf(colinearity4,axiom,
( between(X1,X2,X3)
| between(X2,X3,X1)
| between(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-1.ax',colinearity4) ).
cnf(t3,axiom,
between(X1,X2,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3) ).
cnf(c_0_36,axiom,
( equidistant(X4,X3,X2,X1)
| ~ equidistant(X1,X2,X3,X4) ),
d4_5 ).
cnf(c_0_37,hypothesis,
equidistant(v,w,x,u),
v_to_w_equals_x_to_u ).
cnf(c_0_38,axiom,
( equidistant(X2,X1,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
d4_2 ).
cnf(c_0_39,axiom,
( colinear(X3,X2,X1)
| ~ colinear(X1,X2,X3) ),
t10_1 ).
cnf(c_0_40,negated_conjecture,
colinear(u,v,w),
prove_uvw_not_colinear ).
cnf(c_0_41,axiom,
( equidistant(X3,X4,X2,X1)
| ~ equidistant(X1,X2,X3,X4) ),
d4_3 ).
cnf(c_0_42,hypothesis,
equidistant(u,x,w,v),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,axiom,
( equidistant(X2,X1,X3,X4)
| ~ equidistant(X1,X2,X3,X4) ),
d3 ).
cnf(c_0_44,hypothesis,
equidistant(u,v,w,x),
u_to_v_equals_w_to_x ).
cnf(c_0_45,axiom,
( equidistant(X3,X4,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
d2 ).
cnf(c_0_46,hypothesis,
equidistant(u,w,v,x),
u_to_w_equals_v_to_x ).
cnf(c_0_47,axiom,
( colinear(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
t10_4 ).
cnf(c_0_48,axiom,
( equidistant(X4,X3,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
d4_4 ).
cnf(c_0_49,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_50,hypothesis,
equidistant(w,v,u,x),
inference(spm,[status(thm)],[c_0_38,c_0_37]) ).
cnf(c_0_51,negated_conjecture,
colinear(w,v,u),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_52,axiom,
( between(X3,X4,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X5,X3,X6)
| ~ between(X1,X2,X5) ),
b11 ).
cnf(c_0_53,axiom,
equidistant(X1,X2,X2,X1),
reflexivity_for_equidistance ).
cnf(c_0_54,axiom,
( equidistant(X1,X2,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
d4_1 ).
cnf(c_0_55,hypothesis,
equidistant(w,v,x,u),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_56,hypothesis,
equidistant(v,u,w,x),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_57,hypothesis,
equidistant(x,w,v,u),
inference(spm,[status(thm)],[c_0_36,c_0_44]) ).
cnf(c_0_58,hypothesis,
equidistant(v,x,u,w),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_59,hypothesis,
equidistant(x,u,w,v),
inference(spm,[status(thm)],[c_0_41,c_0_37]) ).
cnf(c_0_60,axiom,
( colinear(X4,X1,X3)
| X3 = X2
| ~ colinear(X1,X2,X3)
| ~ colinear(X4,X2,X3) ),
c5_1 ).
cnf(c_0_61,negated_conjecture,
colinear(w,u,v),
inference(spm,[status(thm)],[c_0_47,c_0_40]) ).
cnf(c_0_62,hypothesis,
u != v,
u_not_v ).
cnf(c_0_63,hypothesis,
equidistant(x,w,u,v),
inference(spm,[status(thm)],[c_0_48,c_0_44]) ).
cnf(c_0_64,hypothesis,
( colinear(X1,u,x)
| ~ colinear(X2,w,v)
| ~ equidistant(X2,v,X1,x)
| ~ equidistant(X2,w,X1,u) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_65,negated_conjecture,
colinear(u,w,v),
inference(spm,[status(thm)],[c_0_47,c_0_51]) ).
cnf(c_0_66,axiom,
( between(X1,X2,X4)
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X4) ),
b9 ).
cnf(c_0_67,axiom,
between(X1,X1,X2),
t2 ).
cnf(c_0_68,axiom,
( between(X1,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X2,X4,X3) ),
b8 ).
cnf(c_0_69,hypothesis,
between(u,y,w),
y_between_u_and_w ).
cnf(c_0_70,axiom,
( between(X2,X3,X4)
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X4) ),
b5 ).
cnf(c_0_71,hypothesis,
between(v,y,x),
y_between_v_and_x ).
cnf(c_0_72,hypothesis,
equidistant(w,x,u,v),
inference(spm,[status(thm)],[c_0_45,c_0_44]) ).
cnf(c_0_73,plain,
( between(X1,X2,X3)
| ~ between(X4,X3,X2)
| ~ equidistant(X4,X2,X1,X3)
| ~ equidistant(X4,X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_74,hypothesis,
equidistant(u,v,x,w),
inference(spm,[status(thm)],[c_0_54,c_0_44]) ).
cnf(c_0_75,hypothesis,
equidistant(u,w,x,v),
inference(spm,[status(thm)],[c_0_54,c_0_46]) ).
cnf(c_0_76,hypothesis,
( between(X1,x,u)
| ~ between(X2,w,v)
| ~ equidistant(X2,v,X1,u)
| ~ equidistant(X2,w,X1,x) ),
inference(spm,[status(thm)],[c_0_52,c_0_55]) ).
cnf(c_0_77,hypothesis,
equidistant(x,v,w,u),
inference(spm,[status(thm)],[c_0_36,c_0_46]) ).
cnf(c_0_78,hypothesis,
( between(X1,w,x)
| ~ between(X2,v,u)
| ~ equidistant(X2,u,X1,x)
| ~ equidistant(X2,v,X1,w) ),
inference(spm,[status(thm)],[c_0_52,c_0_56]) ).
cnf(c_0_79,hypothesis,
equidistant(w,u,v,x),
inference(spm,[status(thm)],[c_0_43,c_0_46]) ).
cnf(c_0_80,hypothesis,
( between(X1,v,u)
| ~ between(X2,x,w)
| ~ equidistant(X2,w,X1,u)
| ~ equidistant(X2,x,X1,v) ),
inference(spm,[status(thm)],[c_0_52,c_0_57]) ).
cnf(c_0_81,hypothesis,
( between(X1,u,w)
| ~ between(X2,v,x)
| ~ equidistant(X2,x,X1,w)
| ~ equidistant(X2,v,X1,u) ),
inference(spm,[status(thm)],[c_0_52,c_0_58]) ).
cnf(c_0_82,hypothesis,
equidistant(u,x,v,w),
inference(spm,[status(thm)],[c_0_48,c_0_37]) ).
cnf(c_0_83,hypothesis,
( between(X1,u,x)
| ~ between(X2,w,v)
| ~ equidistant(X2,v,X1,x)
| ~ equidistant(X2,w,X1,u) ),
inference(spm,[status(thm)],[c_0_52,c_0_50]) ).
cnf(c_0_84,hypothesis,
equidistant(v,u,x,w),
inference(spm,[status(thm)],[c_0_38,c_0_44]) ).
cnf(c_0_85,hypothesis,
( between(X1,w,v)
| ~ between(X2,x,u)
| ~ equidistant(X2,u,X1,v)
| ~ equidistant(X2,x,X1,w) ),
inference(spm,[status(thm)],[c_0_52,c_0_59]) ).
cnf(c_0_86,axiom,
equidistant(X1,X1,X2,X2),
d7 ).
cnf(c_0_87,negated_conjecture,
( colinear(w,X1,v)
| ~ colinear(X1,u,v) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]) ).
cnf(c_0_88,axiom,
( colinear(X3,X2,X1)
| ~ between(X1,X2,X3) ),
c2_1 ).
cnf(c_0_89,hypothesis,
( colinear(X1,u,v)
| ~ colinear(X2,x,w)
| ~ equidistant(X2,w,X1,v)
| ~ equidistant(X2,x,X1,u) ),
inference(spm,[status(thm)],[c_0_49,c_0_63]) ).
cnf(c_0_90,axiom,
( colinear(X2,X3,X1)
| ~ colinear(X1,X2,X3) ),
t10_2 ).
cnf(c_0_91,hypothesis,
colinear(w,u,x),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_53]),c_0_65]),c_0_44])]) ).
cnf(c_0_92,plain,
( between(X1,X2,X3)
| ~ between(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_93,hypothesis,
( between(X1,y,w)
| ~ between(X1,u,w) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_94,plain,
( between(X1,X2,X3)
| ~ between(X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_70,c_0_67]) ).
cnf(c_0_95,hypothesis,
( between(X1,y,x)
| ~ between(X1,v,x) ),
inference(spm,[status(thm)],[c_0_68,c_0_71]) ).
cnf(c_0_96,hypothesis,
( between(X1,u,v)
| ~ between(X2,w,x)
| ~ equidistant(X2,x,X1,v)
| ~ equidistant(X2,w,X1,u) ),
inference(spm,[status(thm)],[c_0_52,c_0_72]) ).
cnf(c_0_97,axiom,
( between(X3,X2,X1)
| ~ between(X1,X2,X3) ),
t1 ).
cnf(c_0_98,hypothesis,
( between(x,v,w)
| ~ between(u,w,v) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75])]) ).
cnf(c_0_99,hypothesis,
( between(v,x,u)
| ~ between(u,w,v) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_46]),c_0_53])]) ).
cnf(c_0_100,hypothesis,
( colinear(X1,w,u)
| ~ colinear(X2,x,v)
| ~ equidistant(X2,v,X1,u)
| ~ equidistant(X2,x,X1,w) ),
inference(spm,[status(thm)],[c_0_49,c_0_77]) ).
cnf(c_0_101,hypothesis,
( between(v,w,x)
| ~ between(w,v,u) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_53]),c_0_79])]) ).
cnf(c_0_102,hypothesis,
( between(w,v,u)
| ~ between(u,x,w) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_42]),c_0_53])]) ).
cnf(c_0_103,hypothesis,
( between(X1,x,w)
| ~ between(X2,u,v)
| ~ equidistant(X2,v,X1,w)
| ~ equidistant(X2,u,X1,x) ),
inference(spm,[status(thm)],[c_0_52,c_0_74]) ).
cnf(c_0_104,hypothesis,
( between(v,u,w)
| ~ between(u,v,x) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_53])]) ).
cnf(c_0_105,hypothesis,
( between(X1,v,x)
| ~ between(X2,w,u)
| ~ equidistant(X2,u,X1,x)
| ~ equidistant(X2,w,X1,v) ),
inference(spm,[status(thm)],[c_0_52,c_0_79]) ).
cnf(c_0_106,axiom,
( X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X2) ),
b3 ).
cnf(c_0_107,hypothesis,
( between(w,u,x)
| ~ between(u,w,v) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_53]),c_0_44])]) ).
cnf(c_0_108,hypothesis,
x != u,
x_not_u ).
cnf(c_0_109,hypothesis,
( between(X1,x,u)
| ~ between(X2,v,w)
| ~ equidistant(X2,w,X1,u)
| ~ equidistant(X2,v,X1,x) ),
inference(spm,[status(thm)],[c_0_52,c_0_37]) ).
cnf(c_0_110,axiom,
( X1 = X2
| ~ between(X1,X2,X3)
| ~ between(X2,X1,X3) ),
b2 ).
cnf(c_0_111,hypothesis,
( between(x,u,w)
| ~ between(v,w,u) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_84]),c_0_37])]) ).
cnf(c_0_112,hypothesis,
( between(v,w,v)
| ~ between(u,x,u) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_82]),c_0_86])]) ).
cnf(c_0_113,negated_conjecture,
( colinear(w,X1,v)
| ~ between(v,u,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_114,hypothesis,
( colinear(x,u,v)
| ~ colinear(u,x,w) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_53]),c_0_75])]) ).
cnf(c_0_115,hypothesis,
colinear(u,x,w),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_116,hypothesis,
( between(w,y,X1)
| ~ between(w,u,w) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_117,hypothesis,
( between(y,x,X1)
| ~ between(x,v,x) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_118,hypothesis,
( between(x,u,w)
| ~ between(w,v,x) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_53]),c_0_55])]) ).
cnf(c_0_119,axiom,
( between(X1,X2,X4)
| X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X2,X3,X4) ),
b7 ).
cnf(c_0_120,hypothesis,
( between(x,u,v)
| ~ between(v,w,x) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_53]),c_0_37])]) ).
cnf(c_0_121,axiom,
( between(X2,X4,X3)
| between(X4,X2,X3)
| ~ between(X1,X2,X3)
| ~ between(X1,X4,X3) ),
b14 ).
cnf(c_0_122,hypothesis,
( between(x,v,u)
| ~ between(v,x,w) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_53]),c_0_37])]) ).
cnf(c_0_123,axiom,
( between(X1,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X2,X4,X5)
| ~ between(X1,X5,X3) ),
t8 ).
cnf(c_0_124,hypothesis,
( between(w,v,x)
| ~ between(u,w,v) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_125,hypothesis,
( between(u,x,v)
| ~ between(u,w,v) ),
inference(spm,[status(thm)],[c_0_97,c_0_99]) ).
cnf(c_0_126,axiom,
( between(X1,X2,X3)
| between(X2,X3,X1)
| between(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
colinearity4 ).
cnf(c_0_127,hypothesis,
( colinear(x,w,u)
| ~ colinear(w,x,v) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_53]),c_0_55])]) ).
cnf(c_0_128,hypothesis,
( between(X1,v,x)
| ~ between(X2,u,w)
| ~ equidistant(X2,w,X1,x)
| ~ equidistant(X2,u,X1,v) ),
inference(spm,[status(thm)],[c_0_52,c_0_46]) ).
cnf(c_0_129,hypothesis,
equidistant(w,u,x,v),
inference(spm,[status(thm)],[c_0_38,c_0_46]) ).
cnf(c_0_130,hypothesis,
( between(v,w,x)
| ~ between(u,x,w) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_131,hypothesis,
( between(v,x,w)
| ~ between(w,u,v) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_53]),c_0_79])]) ).
cnf(c_0_132,hypothesis,
( between(w,u,v)
| ~ between(u,v,x) ),
inference(spm,[status(thm)],[c_0_97,c_0_104]) ).
cnf(c_0_133,hypothesis,
( between(X1,w,u)
| ~ between(X2,x,v)
| ~ equidistant(X2,v,X1,u)
| ~ equidistant(X2,x,X1,w) ),
inference(spm,[status(thm)],[c_0_52,c_0_77]) ).
cnf(c_0_134,hypothesis,
( between(w,v,x)
| ~ between(v,w,u) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_53]),c_0_56])]) ).
cnf(c_0_135,hypothesis,
( ~ between(w,x,u)
| ~ between(u,w,v) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]) ).
cnf(c_0_136,hypothesis,
( between(w,x,u)
| ~ between(u,v,w) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_53]),c_0_44])]) ).
cnf(c_0_137,hypothesis,
equidistant(x,v,u,w),
inference(spm,[status(thm)],[c_0_48,c_0_46]) ).
cnf(c_0_138,hypothesis,
( between(X1,w,v)
| ~ between(X2,u,x)
| ~ equidistant(X2,x,X1,v)
| ~ equidistant(X2,u,X1,w) ),
inference(spm,[status(thm)],[c_0_52,c_0_42]) ).
cnf(c_0_139,hypothesis,
( ~ between(u,x,w)
| ~ between(v,w,u) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_108]) ).
cnf(c_0_140,hypothesis,
( between(v,w,X1)
| ~ between(u,x,u) ),
inference(spm,[status(thm)],[c_0_92,c_0_112]) ).
cnf(c_0_141,negated_conjecture,
( X1 = v
| colinear(w,X2,v)
| ~ colinear(X2,X1,v)
| ~ between(v,u,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_113]) ).
cnf(c_0_142,hypothesis,
colinear(x,u,v),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_115])]) ).
cnf(c_0_143,axiom,
between(X1,X2,X2),
t3 ).
cnf(c_0_144,hypothesis,
( between(w,y,X1)
| ~ between(w,u,w) ),
inference(spm,[status(thm)],[c_0_92,c_0_116]) ).
cnf(c_0_145,hypothesis,
( between(X1,x,X2)
| ~ between(X1,y,X2)
| ~ between(x,v,x) ),
inference(spm,[status(thm)],[c_0_68,c_0_117]) ).
cnf(c_0_146,hypothesis,
( between(X1,u,w)
| ~ between(x,X1,u)
| ~ between(w,v,x) ),
inference(spm,[status(thm)],[c_0_70,c_0_118]) ).
cnf(c_0_147,hypothesis,
( between(X1,x,v)
| ~ between(X1,x,u)
| ~ between(v,w,x) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_108]) ).
cnf(c_0_148,hypothesis,
( between(v,X1,u)
| between(X1,v,u)
| ~ between(x,X1,u)
| ~ between(v,x,w) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_149,hypothesis,
( between(X1,v,X2)
| ~ between(X1,x,X2)
| ~ between(X1,w,X2)
| ~ between(u,w,v) ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_150,hypothesis,
( between(x,X1,v)
| between(X1,x,v)
| ~ between(u,X1,v)
| ~ between(u,w,v) ),
inference(spm,[status(thm)],[c_0_121,c_0_125]) ).
cnf(c_0_151,hypothesis,
( between(u,x,w)
| between(w,u,x)
| between(x,w,u)
| ~ colinear(w,x,v) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_152,hypothesis,
( between(x,v,x)
| ~ between(w,u,w) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_86]),c_0_129])]) ).
cnf(c_0_153,hypothesis,
( between(x,w,v)
| ~ between(u,x,w) ),
inference(spm,[status(thm)],[c_0_97,c_0_130]) ).
cnf(c_0_154,hypothesis,
( between(v,x,w)
| ~ between(u,v,x) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_155,hypothesis,
( between(u,v,x)
| ~ between(x,w,u) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_63]),c_0_53])]) ).
cnf(c_0_156,hypothesis,
( between(w,x,u)
| ~ between(x,w,v) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_53]),c_0_77])]) ).
cnf(c_0_157,hypothesis,
( between(x,w,u)
| ~ between(w,x,v) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_53]),c_0_55])]) ).
cnf(c_0_158,hypothesis,
( between(x,v,w)
| ~ between(v,w,u) ),
inference(spm,[status(thm)],[c_0_97,c_0_134]) ).
cnf(c_0_159,hypothesis,
( ~ between(u,w,v)
| ~ between(u,v,w) ),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_160,hypothesis,
( between(u,v,w)
| ~ between(x,w,v) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_137]),c_0_63])]) ).
cnf(c_0_161,hypothesis,
( between(u,w,v)
| ~ between(x,v,w) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_63]),c_0_137])]) ).
cnf(c_0_162,hypothesis,
( between(u,w,v)
| ~ between(w,u,x) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_72]),c_0_53])]) ).
cnf(c_0_163,hypothesis,
( ~ between(w,v,u)
| ~ between(u,v,x) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_132]),c_0_62]) ).
cnf(c_0_164,hypothesis,
( between(u,x,u)
| ~ between(w,v,w) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_86]),c_0_50])]) ).
cnf(c_0_165,hypothesis,
~ between(u,x,u),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_92]) ).
cnf(c_0_166,negated_conjecture,
colinear(w,x,v),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_143])]),c_0_62]) ).
cnf(c_0_167,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_144,c_0_145,c_0_146,c_0_147,c_0_148,c_0_149,c_0_150,c_0_151,c_0_152,c_0_153,c_0_154,c_0_130,c_0_155,c_0_156,c_0_157,c_0_124,c_0_158,c_0_159,c_0_160,c_0_161,c_0_162,c_0_163,c_0_164,c_0_165,c_0_166,c_0_143]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO070-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 21:55:41 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 7.83/7.89 % Version : CSE_E---1.5
% 7.83/7.89 % Problem : theBenchmark.p
% 7.83/7.89 % Proof found
% 7.83/7.89 % SZS status Theorem for theBenchmark.p
% 7.83/7.89 % SZS output start Proof
% See solution above
% 7.83/7.90 % Total time : 7.313000 s
% 7.83/7.90 % SZS output end Proof
% 7.83/7.90 % Total time : 7.318000 s
%------------------------------------------------------------------------------