TSTP Solution File: GEO070-3 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : GEO070-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n022.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 : Sat May 4 07:41:29 EDT 2024
% Result : Unsatisfiable 3.40s 0.96s
% Output : CNFRefutation 3.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 29
% Syntax : Number of clauses : 145 ( 48 unt; 13 nHn; 141 RR)
% Number of literals : 293 ( 30 equ; 145 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-5 aty)
% Number of variables : 274 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
( between(X3,X2,X1)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.eCc7HfZCvH/E---3.1_4741.p',t1) ).
cnf(inner_pasch2,axiom,
( between(X5,inner_pasch(X1,X2,X3,X5,X4),X1)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.eCc7HfZCvH/E---3.1_4741.p',inner_pasch2) ).
cnf(identity_for_betweeness,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.eCc7HfZCvH/E---3.1_4741.p',identity_for_betweeness) ).
cnf(inner_pasch1,axiom,
( between(X2,inner_pasch(X1,X2,X3,X5,X4),X4)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.eCc7HfZCvH/E---3.1_4741.p',inner_pasch1) ).
cnf(d4_5,axiom,
( equidistant(X4,X3,X2,X1)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.eCc7HfZCvH/E---3.1_4741.p',d4_5) ).
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/sandbox2/tmp/tmp.eCc7HfZCvH/E---3.1_4741.p',b11) ).
cnf(u_to_v_equals_w_to_x,hypothesis,
equidistant(u,v,w,x),
file('/export/starexec/sandbox2/tmp/tmp.eCc7HfZCvH/E---3.1_4741.p',u_to_v_equals_w_to_x) ).
cnf(b9,axiom,
( between(X1,X2,X4)
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.eCc7HfZCvH/E---3.1_4741.p',b9) ).
cnf(y_between_v_and_x,hypothesis,
between(v,y,x),
file('/export/starexec/sandbox2/tmp/tmp.eCc7HfZCvH/E---3.1_4741.p',y_between_v_and_x) ).
cnf(d4_2,axiom,
( equidistant(X2,X1,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.eCc7HfZCvH/E---3.1_4741.p',d4_2) ).
cnf(d3,axiom,
( equidistant(X2,X1,X3,X4)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.eCc7HfZCvH/E---3.1_4741.p',d3) ).
cnf(v_to_w_equals_x_to_u,hypothesis,
equidistant(v,w,x,u),
file('/export/starexec/sandbox2/tmp/tmp.eCc7HfZCvH/E---3.1_4741.p',v_to_w_equals_x_to_u) ).
cnf(y_between_u_and_w,hypothesis,
between(u,y,w),
file('/export/starexec/sandbox2/tmp/tmp.eCc7HfZCvH/E---3.1_4741.p',y_between_u_and_w) ).
cnf(b0,axiom,
( between(X2,X3,X1)
| X1 != extension(X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.eCc7HfZCvH/E---3.1_4741.p',b0) ).
cnf(reflexivity_for_equidistance,axiom,
equidistant(X1,X2,X2,X1),
file('/export/starexec/sandbox2/tmp/tmp.eCc7HfZCvH/E---3.1_4741.p',reflexivity_for_equidistance) ).
cnf(u_to_w_equals_v_to_x,hypothesis,
equidistant(u,w,v,x),
file('/export/starexec/sandbox2/tmp/tmp.eCc7HfZCvH/E---3.1_4741.p',u_to_w_equals_v_to_x) ).
cnf(d4_1,axiom,
( equidistant(X1,X2,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.eCc7HfZCvH/E---3.1_4741.p',d4_1) ).
cnf(d2,axiom,
( equidistant(X3,X4,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.eCc7HfZCvH/E---3.1_4741.p',d2) ).
cnf(b2,axiom,
( X1 = X2
| ~ between(X1,X2,X3)
| ~ between(X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.eCc7HfZCvH/E---3.1_4741.p',b2) ).
cnf(x_not_u,hypothesis,
x != u,
file('/export/starexec/sandbox2/tmp/tmp.eCc7HfZCvH/E---3.1_4741.p',x_not_u) ).
cnf(b3,axiom,
( X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.eCc7HfZCvH/E---3.1_4741.p',b3) ).
cnf(t10_1,axiom,
( colinear(X3,X2,X1)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.eCc7HfZCvH/E---3.1_4741.p',t10_1) ).
cnf(d4_4,axiom,
( equidistant(X4,X3,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.eCc7HfZCvH/E---3.1_4741.p',d4_4) ).
cnf(d10_1,axiom,
( X1 = X2
| X3 = extension(X1,X2,X2,X3)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.eCc7HfZCvH/E---3.1_4741.p',d10_1) ).
cnf(colinearity4,axiom,
( between(X1,X2,X3)
| between(X2,X3,X1)
| between(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.eCc7HfZCvH/E---3.1_4741.p',colinearity4) ).
cnf(prove_uvw_not_colinear,negated_conjecture,
colinear(u,v,w),
file('/export/starexec/sandbox2/tmp/tmp.eCc7HfZCvH/E---3.1_4741.p',prove_uvw_not_colinear) ).
cnf(u_not_v,hypothesis,
u != v,
file('/export/starexec/sandbox2/tmp/tmp.eCc7HfZCvH/E---3.1_4741.p',u_not_v) ).
cnf(t10_4,axiom,
( colinear(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.eCc7HfZCvH/E---3.1_4741.p',t10_4) ).
cnf(b7,axiom,
( between(X1,X2,X4)
| X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X2,X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.eCc7HfZCvH/E---3.1_4741.p',b7) ).
cnf(c_0_29,plain,
( between(X3,X2,X1)
| ~ between(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[t1]) ).
cnf(c_0_30,plain,
( between(X5,inner_pasch(X1,X2,X3,X5,X4),X1)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
inference(fof_simplification,[status(thm)],[inner_pasch2]) ).
cnf(c_0_31,plain,
( X1 = X2
| ~ between(X1,X2,X1) ),
inference(fof_simplification,[status(thm)],[identity_for_betweeness]) ).
cnf(c_0_32,plain,
( between(X2,inner_pasch(X1,X2,X3,X5,X4),X4)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
inference(fof_simplification,[status(thm)],[inner_pasch1]) ).
cnf(c_0_33,plain,
( equidistant(X4,X3,X2,X1)
| ~ equidistant(X1,X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[d4_5]) ).
cnf(c_0_34,plain,
( between(X3,X2,X1)
| ~ between(X1,X2,X3) ),
c_0_29 ).
cnf(c_0_35,plain,
( between(X5,inner_pasch(X1,X2,X3,X5,X4),X1)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
c_0_30 ).
cnf(c_0_36,plain,
( X1 = X2
| ~ between(X1,X2,X1) ),
c_0_31 ).
cnf(c_0_37,plain,
( between(X2,inner_pasch(X1,X2,X3,X5,X4),X4)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
c_0_32 ).
cnf(c_0_38,plain,
( between(X3,X4,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X5,X3,X6)
| ~ between(X1,X2,X5) ),
inference(fof_simplification,[status(thm)],[b11]) ).
cnf(c_0_39,plain,
( equidistant(X4,X3,X2,X1)
| ~ equidistant(X1,X2,X3,X4) ),
c_0_33 ).
cnf(c_0_40,hypothesis,
equidistant(u,v,w,x),
u_to_v_equals_w_to_x ).
cnf(c_0_41,plain,
( between(X1,X2,X4)
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X4) ),
inference(fof_simplification,[status(thm)],[b9]) ).
cnf(c_0_42,plain,
( between(X1,inner_pasch(X1,X2,X3,X4,X5),X4)
| ~ between(X5,X4,X3)
| ~ between(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_43,plain,
( inner_pasch(X1,X2,X3,X4,X2) = X2
| ~ between(X2,X4,X3)
| ~ between(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_44,hypothesis,
between(v,y,x),
y_between_v_and_x ).
cnf(c_0_45,plain,
( equidistant(X2,X1,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[d4_2]) ).
cnf(c_0_46,plain,
( equidistant(X2,X1,X3,X4)
| ~ equidistant(X1,X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[d3]) ).
cnf(c_0_47,plain,
( between(X3,X4,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X5,X3,X6)
| ~ between(X1,X2,X5) ),
c_0_38 ).
cnf(c_0_48,hypothesis,
equidistant(x,w,v,u),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_49,hypothesis,
equidistant(v,w,x,u),
v_to_w_equals_x_to_u ).
cnf(c_0_50,plain,
( between(X1,X2,X4)
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X4) ),
c_0_41 ).
cnf(c_0_51,hypothesis,
between(u,y,w),
y_between_u_and_w ).
cnf(c_0_52,plain,
( between(X1,X2,X3)
| ~ between(X2,X3,X4)
| ~ between(X1,X2,X4) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_53,hypothesis,
between(x,y,v),
inference(spm,[status(thm)],[c_0_34,c_0_44]) ).
cnf(c_0_54,plain,
( between(X2,X3,X1)
| X1 != extension(X2,X3,X4,X5) ),
inference(fof_simplification,[status(thm)],[b0]) ).
cnf(c_0_55,axiom,
equidistant(X1,X2,X2,X1),
reflexivity_for_equidistance ).
cnf(c_0_56,plain,
( equidistant(X2,X1,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
c_0_45 ).
cnf(c_0_57,hypothesis,
equidistant(u,w,v,x),
u_to_w_equals_v_to_x ).
cnf(c_0_58,plain,
( equidistant(X2,X1,X3,X4)
| ~ equidistant(X1,X2,X3,X4) ),
c_0_46 ).
cnf(c_0_59,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_47,c_0_48]) ).
cnf(c_0_60,hypothesis,
equidistant(u,x,w,v),
inference(spm,[status(thm)],[c_0_39,c_0_49]) ).
cnf(c_0_61,hypothesis,
( between(u,X1,w)
| ~ between(u,X1,y) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_62,hypothesis,
( between(X1,x,y)
| ~ between(X1,x,v) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_63,plain,
( between(X2,X3,X1)
| X1 != extension(X2,X3,X4,X5) ),
c_0_54 ).
cnf(c_0_64,plain,
( equidistant(X1,X2,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[d4_1]) ).
cnf(c_0_65,plain,
( equidistant(X3,X4,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[d2]) ).
cnf(c_0_66,plain,
( X1 = X2
| ~ between(X1,X2,X3)
| ~ between(X2,X1,X3) ),
inference(fof_simplification,[status(thm)],[b2]) ).
cnf(c_0_67,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_47,c_0_55]) ).
cnf(c_0_68,hypothesis,
equidistant(w,u,x,v),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_69,hypothesis,
equidistant(w,v,x,u),
inference(spm,[status(thm)],[c_0_58,c_0_49]) ).
cnf(c_0_70,hypothesis,
x != u,
inference(fof_simplification,[status(thm)],[x_not_u]) ).
cnf(c_0_71,hypothesis,
( between(w,v,u)
| ~ between(u,x,w) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_55])]) ).
cnf(c_0_72,hypothesis,
( between(u,x,w)
| ~ between(u,x,v) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_73,plain,
( X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X2) ),
inference(fof_simplification,[status(thm)],[b3]) ).
cnf(c_0_74,plain,
between(X1,X2,extension(X1,X2,X3,X4)),
inference(er,[status(thm)],[c_0_63]) ).
cnf(c_0_75,plain,
( colinear(X3,X2,X1)
| ~ colinear(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[t10_1]) ).
cnf(c_0_76,plain,
( equidistant(X1,X2,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
c_0_64 ).
cnf(c_0_77,plain,
( equidistant(X3,X4,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
c_0_65 ).
cnf(c_0_78,plain,
( X1 = X2
| ~ between(X1,X2,X3)
| ~ between(X2,X1,X3) ),
c_0_66 ).
cnf(c_0_79,hypothesis,
( between(x,u,v)
| ~ between(w,v,u) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69])]) ).
cnf(c_0_80,hypothesis,
x != u,
c_0_70 ).
cnf(c_0_81,hypothesis,
( between(w,v,u)
| ~ between(u,x,v) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_82,plain,
( equidistant(X4,X3,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[d4_4]) ).
cnf(c_0_83,hypothesis,
between(w,y,u),
inference(spm,[status(thm)],[c_0_34,c_0_51]) ).
cnf(c_0_84,plain,
( X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X2) ),
c_0_73 ).
cnf(c_0_85,plain,
between(extension(X1,X2,X3,X4),X2,X1),
inference(spm,[status(thm)],[c_0_34,c_0_74]) ).
cnf(c_0_86,plain,
( X1 = X2
| X3 = extension(X1,X2,X2,X3)
| ~ between(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[d10_1]) ).
cnf(c_0_87,plain,
( between(X1,X2,X3)
| between(X2,X3,X1)
| between(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[colinearity4]) ).
cnf(c_0_88,plain,
( colinear(X3,X2,X1)
| ~ colinear(X1,X2,X3) ),
c_0_75 ).
cnf(c_0_89,negated_conjecture,
colinear(u,v,w),
prove_uvw_not_colinear ).
cnf(c_0_90,hypothesis,
equidistant(u,v,x,w),
inference(spm,[status(thm)],[c_0_76,c_0_40]) ).
cnf(c_0_91,hypothesis,
equidistant(u,w,x,v),
inference(spm,[status(thm)],[c_0_76,c_0_57]) ).
cnf(c_0_92,hypothesis,
equidistant(w,x,u,v),
inference(spm,[status(thm)],[c_0_77,c_0_40]) ).
cnf(c_0_93,hypothesis,
equidistant(w,v,u,x),
inference(spm,[status(thm)],[c_0_56,c_0_49]) ).
cnf(c_0_94,hypothesis,
~ between(u,x,v),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]),c_0_81]) ).
cnf(c_0_95,plain,
( equidistant(X4,X3,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
c_0_82 ).
cnf(c_0_96,hypothesis,
( between(v,X1,x)
| ~ between(v,X1,y) ),
inference(spm,[status(thm)],[c_0_50,c_0_44]) ).
cnf(c_0_97,hypothesis,
( between(X1,w,y)
| ~ between(X1,w,u) ),
inference(spm,[status(thm)],[c_0_52,c_0_83]) ).
cnf(c_0_98,plain,
( X1 = X2
| ~ between(extension(X1,X2,X3,X4),X1,X2) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_99,plain,
( X1 = X2
| X3 = extension(X1,X2,X2,X3)
| ~ between(X1,X2,X3) ),
c_0_86 ).
cnf(c_0_100,hypothesis,
u != v,
inference(fof_simplification,[status(thm)],[u_not_v]) ).
cnf(c_0_101,plain,
( between(X1,X2,X3)
| between(X2,X3,X1)
| between(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
c_0_87 ).
cnf(c_0_102,negated_conjecture,
colinear(w,v,u),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_103,hypothesis,
( between(x,v,w)
| ~ between(u,w,v) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_90]),c_0_91])]) ).
cnf(c_0_104,hypothesis,
~ between(w,v,x),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_92]),c_0_93])]),c_0_94]) ).
cnf(c_0_105,plain,
( colinear(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[t10_4]) ).
cnf(c_0_106,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_47,c_0_49]) ).
cnf(c_0_107,hypothesis,
equidistant(x,v,u,w),
inference(spm,[status(thm)],[c_0_95,c_0_57]) ).
cnf(c_0_108,hypothesis,
equidistant(x,w,u,v),
inference(spm,[status(thm)],[c_0_95,c_0_40]) ).
cnf(c_0_109,hypothesis,
( between(v,w,x)
| ~ between(v,w,u) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_110,plain,
( X1 = X2
| ~ between(X3,X1,X2)
| ~ between(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_111,hypothesis,
u != v,
c_0_100 ).
cnf(c_0_112,negated_conjecture,
( between(w,v,u)
| between(v,u,w)
| between(u,w,v) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_113,hypothesis,
~ between(u,w,v),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_103]),c_0_104]) ).
cnf(c_0_114,plain,
( colinear(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
c_0_105 ).
cnf(c_0_115,hypothesis,
( between(w,x,u)
| ~ between(u,v,w) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_40]),c_0_55])]) ).
cnf(c_0_116,hypothesis,
equidistant(v,u,x,w),
inference(spm,[status(thm)],[c_0_56,c_0_40]) ).
cnf(c_0_117,hypothesis,
( between(u,v,w)
| ~ between(x,w,v) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_107]),c_0_108])]) ).
cnf(c_0_118,hypothesis,
( between(x,w,v)
| ~ between(v,w,u) ),
inference(spm,[status(thm)],[c_0_34,c_0_109]) ).
cnf(c_0_119,hypothesis,
( ~ between(u,v,x)
| ~ between(w,v,u) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_79]),c_0_111]) ).
cnf(c_0_120,negated_conjecture,
( between(v,u,w)
| between(w,v,u) ),
inference(sr,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_121,negated_conjecture,
colinear(w,u,v),
inference(spm,[status(thm)],[c_0_114,c_0_89]) ).
cnf(c_0_122,hypothesis,
( ~ between(x,u,w)
| ~ between(u,v,w) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_115]),c_0_80]) ).
cnf(c_0_123,hypothesis,
( between(x,u,w)
| ~ between(v,w,u) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_116]),c_0_49])]) ).
cnf(c_0_124,hypothesis,
( between(u,v,w)
| ~ between(v,w,u) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_125,hypothesis,
( between(v,u,w)
| ~ between(u,v,x) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_126,hypothesis,
( between(x,v,u)
| ~ between(w,u,v) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_69]),c_0_68])]) ).
cnf(c_0_127,negated_conjecture,
( between(w,u,v)
| between(u,v,w)
| between(v,w,u) ),
inference(spm,[status(thm)],[c_0_101,c_0_121]) ).
cnf(c_0_128,hypothesis,
~ between(v,w,u),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124]) ).
cnf(c_0_129,hypothesis,
( between(X1,v,y)
| ~ between(X1,v,x) ),
inference(spm,[status(thm)],[c_0_52,c_0_44]) ).
cnf(c_0_130,hypothesis,
( ~ between(u,v,w)
| ~ between(u,v,x) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_125]),c_0_111]) ).
cnf(c_0_131,hypothesis,
( between(u,v,x)
| ~ between(w,u,v) ),
inference(spm,[status(thm)],[c_0_34,c_0_126]) ).
cnf(c_0_132,negated_conjecture,
( between(u,v,w)
| between(w,u,v) ),
inference(sr,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_133,hypothesis,
~ between(u,v,x),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_129]),c_0_130]) ).
cnf(c_0_134,plain,
( between(X1,X2,X4)
| X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[b7]) ).
cnf(c_0_135,hypothesis,
( between(u,x,w)
| ~ between(u,v,w) ),
inference(spm,[status(thm)],[c_0_34,c_0_115]) ).
cnf(c_0_136,hypothesis,
between(u,v,w),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_133]) ).
cnf(c_0_137,plain,
( between(X1,X2,X4)
| X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X2,X3,X4) ),
c_0_134 ).
cnf(c_0_138,hypothesis,
between(u,x,w),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_136])]) ).
cnf(c_0_139,hypothesis,
( between(v,u,x)
| ~ between(w,v,u) ),
inference(spm,[status(thm)],[c_0_34,c_0_79]) ).
cnf(c_0_140,hypothesis,
between(w,v,u),
inference(spm,[status(thm)],[c_0_34,c_0_136]) ).
cnf(c_0_141,hypothesis,
( between(X1,u,w)
| ~ between(X1,u,x) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_80]) ).
cnf(c_0_142,hypothesis,
between(v,u,x),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_140])]) ).
cnf(c_0_143,hypothesis,
~ between(v,u,w),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_136]),c_0_111]) ).
cnf(c_0_144,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_143]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO070-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.08/0.15 % Command : run_E %s %d THM
% 0.16/0.36 % Computer : n022.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 18:38:08 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.23/0.54 Running first-order theorem proving
% 0.23/0.54 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.eCc7HfZCvH/E---3.1_4741.p
% 3.40/0.96 # Version: 3.1.0
% 3.40/0.96 # Preprocessing class: FSLSSMSMSSSNFFN.
% 3.40/0.96 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.40/0.96 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 3.40/0.96 # Starting new_bool_3 with 300s (1) cores
% 3.40/0.96 # Starting new_bool_1 with 300s (1) cores
% 3.40/0.96 # Starting sh5l with 300s (1) cores
% 3.40/0.96 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 4840 completed with status 0
% 3.40/0.96 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 3.40/0.96 # Preprocessing class: FSLSSMSMSSSNFFN.
% 3.40/0.96 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.40/0.96 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 3.40/0.96 # No SInE strategy applied
% 3.40/0.96 # Search class: FGUSM-FFMM33-SFFFFFNN
% 3.40/0.96 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 3.40/0.96 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 310s (1) cores
% 3.40/0.96 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 3.40/0.96 # Starting new_bool_1 with 307s (1) cores
% 3.40/0.96 # Starting sh5l with 304s (1) cores
% 3.40/0.96 # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 3.40/0.96 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 4848 completed with status 0
% 3.40/0.96 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 3.40/0.96 # Preprocessing class: FSLSSMSMSSSNFFN.
% 3.40/0.96 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.40/0.96 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 3.40/0.96 # No SInE strategy applied
% 3.40/0.96 # Search class: FGUSM-FFMM33-SFFFFFNN
% 3.40/0.96 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 3.40/0.96 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 310s (1) cores
% 3.40/0.96 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 3.40/0.96 # Preprocessing time : 0.003 s
% 3.40/0.96 # Presaturation interreduction done
% 3.40/0.96
% 3.40/0.96 # Proof found!
% 3.40/0.96 # SZS status Unsatisfiable
% 3.40/0.96 # SZS output start CNFRefutation
% See solution above
% 3.40/0.96 # Parsed axioms : 114
% 3.40/0.96 # Removed by relevancy pruning/SinE : 0
% 3.40/0.96 # Initial clauses : 114
% 3.40/0.96 # Removed in clause preprocessing : 3
% 3.40/0.96 # Initial clauses in saturation : 111
% 3.40/0.96 # Processed clauses : 3002
% 3.40/0.96 # ...of these trivial : 139
% 3.40/0.96 # ...subsumed : 1647
% 3.40/0.96 # ...remaining for further processing : 1216
% 3.40/0.96 # Other redundant clauses eliminated : 6
% 3.40/0.96 # Clauses deleted for lack of memory : 0
% 3.40/0.96 # Backward-subsumed : 121
% 3.40/0.96 # Backward-rewritten : 40
% 3.40/0.96 # Generated clauses : 18584
% 3.40/0.96 # ...of the previous two non-redundant : 15460
% 3.40/0.96 # ...aggressively subsumed : 0
% 3.40/0.96 # Contextual simplify-reflections : 3
% 3.40/0.96 # Paramodulations : 18575
% 3.40/0.96 # Factorizations : 0
% 3.40/0.96 # NegExts : 0
% 3.40/0.96 # Equation resolutions : 6
% 3.40/0.96 # Disequality decompositions : 0
% 3.40/0.96 # Total rewrite steps : 5114
% 3.40/0.96 # ...of those cached : 4775
% 3.40/0.96 # Propositional unsat checks : 0
% 3.40/0.96 # Propositional check models : 0
% 3.40/0.96 # Propositional check unsatisfiable : 0
% 3.40/0.96 # Propositional clauses : 0
% 3.40/0.96 # Propositional clauses after purity: 0
% 3.40/0.96 # Propositional unsat core size : 0
% 3.40/0.96 # Propositional preprocessing time : 0.000
% 3.40/0.96 # Propositional encoding time : 0.000
% 3.40/0.96 # Propositional solver time : 0.000
% 3.40/0.96 # Success case prop preproc time : 0.000
% 3.40/0.96 # Success case prop encoding time : 0.000
% 3.40/0.96 # Success case prop solver time : 0.000
% 3.40/0.96 # Current number of processed clauses : 947
% 3.40/0.96 # Positive orientable unit clauses : 84
% 3.40/0.96 # Positive unorientable unit clauses: 0
% 3.40/0.96 # Negative unit clauses : 42
% 3.40/0.96 # Non-unit-clauses : 821
% 3.40/0.96 # Current number of unprocessed clauses: 12528
% 3.40/0.96 # ...number of literals in the above : 54100
% 3.40/0.96 # Current number of archived formulas : 0
% 3.40/0.96 # Current number of archived clauses : 267
% 3.40/0.96 # Clause-clause subsumption calls (NU) : 199641
% 3.40/0.96 # Rec. Clause-clause subsumption calls : 164021
% 3.40/0.96 # Non-unit clause-clause subsumptions : 1575
% 3.40/0.96 # Unit Clause-clause subsumption calls : 13569
% 3.40/0.96 # Rewrite failures with RHS unbound : 0
% 3.40/0.96 # BW rewrite match attempts : 543
% 3.40/0.96 # BW rewrite match successes : 24
% 3.40/0.96 # Condensation attempts : 0
% 3.40/0.96 # Condensation successes : 0
% 3.40/0.96 # Termbank termtop insertions : 227256
% 3.40/0.96 # Search garbage collected termcells : 247
% 3.40/0.96
% 3.40/0.96 # -------------------------------------------------
% 3.40/0.96 # User time : 0.386 s
% 3.40/0.96 # System time : 0.012 s
% 3.40/0.96 # Total time : 0.398 s
% 3.40/0.96 # Maximum resident set size: 1852 pages
% 3.40/0.96
% 3.40/0.96 # -------------------------------------------------
% 3.40/0.96 # User time : 1.945 s
% 3.40/0.96 # System time : 0.036 s
% 3.40/0.96 # Total time : 1.981 s
% 3.40/0.96 # Maximum resident set size: 1772 pages
% 3.40/0.96 % E---3.1 exiting
% 3.40/0.96 % E exiting
%------------------------------------------------------------------------------