TSTP Solution File: GEO070-3 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GEO070-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n002.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 2.56s 0.81s
% Output : CNFRefutation 2.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 29
% Syntax : Number of clauses : 123 ( 46 unt; 10 nHn; 119 RR)
% Number of literals : 238 ( 21 equ; 114 neg)
% Maximal clause size : 5 ( 1 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 : 198 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
( between(X3,X2,X1)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.sPngLMbasi/E---3.1_18904.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.sPngLMbasi/E---3.1_18904.p',inner_pasch2) ).
cnf(identity_for_betweeness,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.sPngLMbasi/E---3.1_18904.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.sPngLMbasi/E---3.1_18904.p',inner_pasch1) ).
cnf(d4_5,axiom,
( equidistant(X4,X3,X2,X1)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.sPngLMbasi/E---3.1_18904.p',d4_5) ).
cnf(u_to_v_equals_w_to_x,hypothesis,
equidistant(u,v,w,x),
file('/export/starexec/sandbox2/tmp/tmp.sPngLMbasi/E---3.1_18904.p',u_to_v_equals_w_to_x) ).
cnf(y_between_v_and_x,hypothesis,
between(v,y,x),
file('/export/starexec/sandbox2/tmp/tmp.sPngLMbasi/E---3.1_18904.p',y_between_v_and_x) ).
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.sPngLMbasi/E---3.1_18904.p',b11) ).
cnf(v_to_w_equals_x_to_u,hypothesis,
equidistant(v,w,x,u),
file('/export/starexec/sandbox2/tmp/tmp.sPngLMbasi/E---3.1_18904.p',v_to_w_equals_x_to_u) ).
cnf(b9,axiom,
( between(X1,X2,X4)
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.sPngLMbasi/E---3.1_18904.p',b9) ).
cnf(y_between_u_and_w,hypothesis,
between(u,y,w),
file('/export/starexec/sandbox2/tmp/tmp.sPngLMbasi/E---3.1_18904.p',y_between_u_and_w) ).
cnf(reflexivity_for_equidistance,axiom,
equidistant(X1,X2,X2,X1),
file('/export/starexec/sandbox2/tmp/tmp.sPngLMbasi/E---3.1_18904.p',reflexivity_for_equidistance) ).
cnf(d4_2,axiom,
( equidistant(X2,X1,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.sPngLMbasi/E---3.1_18904.p',d4_2) ).
cnf(u_to_w_equals_v_to_x,hypothesis,
equidistant(u,w,v,x),
file('/export/starexec/sandbox2/tmp/tmp.sPngLMbasi/E---3.1_18904.p',u_to_w_equals_v_to_x) ).
cnf(d3,axiom,
( equidistant(X2,X1,X3,X4)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.sPngLMbasi/E---3.1_18904.p',d3) ).
cnf(b0,axiom,
( between(X2,X3,X1)
| X1 != extension(X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.sPngLMbasi/E---3.1_18904.p',b0) ).
cnf(d4_1,axiom,
( equidistant(X1,X2,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.sPngLMbasi/E---3.1_18904.p',d4_1) ).
cnf(d2,axiom,
( equidistant(X3,X4,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.sPngLMbasi/E---3.1_18904.p',d2) ).
cnf(b2,axiom,
( X1 = X2
| ~ between(X1,X2,X3)
| ~ between(X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.sPngLMbasi/E---3.1_18904.p',b2) ).
cnf(x_not_u,hypothesis,
x != u,
file('/export/starexec/sandbox2/tmp/tmp.sPngLMbasi/E---3.1_18904.p',x_not_u) ).
cnf(b3,axiom,
( X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.sPngLMbasi/E---3.1_18904.p',b3) ).
cnf(t10_1,axiom,
( colinear(X3,X2,X1)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.sPngLMbasi/E---3.1_18904.p',t10_1) ).
cnf(prove_uvw_not_colinear,negated_conjecture,
colinear(u,v,w),
file('/export/starexec/sandbox2/tmp/tmp.sPngLMbasi/E---3.1_18904.p',prove_uvw_not_colinear) ).
cnf(d4_4,axiom,
( equidistant(X4,X3,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.sPngLMbasi/E---3.1_18904.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.sPngLMbasi/E---3.1_18904.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.sPngLMbasi/E---3.1_18904.p',colinearity4) ).
cnf(u_not_v,hypothesis,
u != v,
file('/export/starexec/sandbox2/tmp/tmp.sPngLMbasi/E---3.1_18904.p',u_not_v) ).
cnf(t10_4,axiom,
( colinear(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.sPngLMbasi/E---3.1_18904.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.sPngLMbasi/E---3.1_18904.p',b7) ).
cnf(c_0_29,axiom,
( between(X3,X2,X1)
| ~ between(X1,X2,X3) ),
t1 ).
cnf(c_0_30,axiom,
( between(X5,inner_pasch(X1,X2,X3,X5,X4),X1)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
inner_pasch2 ).
cnf(c_0_31,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
identity_for_betweeness ).
cnf(c_0_32,axiom,
( between(X2,inner_pasch(X1,X2,X3,X5,X4),X4)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
inner_pasch1 ).
cnf(c_0_33,axiom,
( equidistant(X4,X3,X2,X1)
| ~ equidistant(X1,X2,X3,X4) ),
d4_5 ).
cnf(c_0_34,hypothesis,
equidistant(u,v,w,x),
u_to_v_equals_w_to_x ).
cnf(c_0_35,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_29,c_0_30]) ).
cnf(c_0_36,plain,
( inner_pasch(X1,X2,X3,X4,X2) = X2
| ~ between(X2,X4,X3)
| ~ between(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,hypothesis,
between(v,y,x),
y_between_v_and_x ).
cnf(c_0_38,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_39,hypothesis,
equidistant(x,w,v,u),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_40,hypothesis,
equidistant(v,w,x,u),
v_to_w_equals_x_to_u ).
cnf(c_0_41,axiom,
( between(X1,X2,X4)
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X4) ),
b9 ).
cnf(c_0_42,hypothesis,
between(u,y,w),
y_between_u_and_w ).
cnf(c_0_43,plain,
( between(X1,X2,X3)
| ~ between(X2,X3,X4)
| ~ between(X1,X2,X4) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_44,hypothesis,
between(x,y,v),
inference(spm,[status(thm)],[c_0_29,c_0_37]) ).
cnf(c_0_45,axiom,
equidistant(X1,X2,X2,X1),
reflexivity_for_equidistance ).
cnf(c_0_46,axiom,
( equidistant(X2,X1,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
d4_2 ).
cnf(c_0_47,hypothesis,
equidistant(u,w,v,x),
u_to_w_equals_v_to_x ).
cnf(c_0_48,axiom,
( equidistant(X2,X1,X3,X4)
| ~ equidistant(X1,X2,X3,X4) ),
d3 ).
cnf(c_0_49,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_38,c_0_39]) ).
cnf(c_0_50,hypothesis,
equidistant(u,x,w,v),
inference(spm,[status(thm)],[c_0_33,c_0_40]) ).
cnf(c_0_51,hypothesis,
( between(u,X1,w)
| ~ between(u,X1,y) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_52,hypothesis,
( between(X1,x,y)
| ~ between(X1,x,v) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_53,axiom,
( between(X2,X3,X1)
| X1 != extension(X2,X3,X4,X5) ),
b0 ).
cnf(c_0_54,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_38,c_0_45]) ).
cnf(c_0_55,hypothesis,
equidistant(w,u,x,v),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_56,hypothesis,
equidistant(w,v,x,u),
inference(spm,[status(thm)],[c_0_48,c_0_40]) ).
cnf(c_0_57,hypothesis,
( between(w,v,u)
| ~ between(u,x,w) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_45])]) ).
cnf(c_0_58,hypothesis,
( between(u,x,w)
| ~ between(u,x,v) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_59,plain,
between(X1,X2,extension(X1,X2,X3,X4)),
inference(er,[status(thm)],[c_0_53]) ).
cnf(c_0_60,axiom,
( equidistant(X1,X2,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
d4_1 ).
cnf(c_0_61,axiom,
( equidistant(X3,X4,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
d2 ).
cnf(c_0_62,axiom,
( X1 = X2
| ~ between(X1,X2,X3)
| ~ between(X2,X1,X3) ),
b2 ).
cnf(c_0_63,hypothesis,
( between(x,u,v)
| ~ between(w,v,u) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56])]) ).
cnf(c_0_64,hypothesis,
x != u,
x_not_u ).
cnf(c_0_65,hypothesis,
( between(w,v,u)
| ~ between(u,x,v) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_66,hypothesis,
between(w,y,u),
inference(spm,[status(thm)],[c_0_29,c_0_42]) ).
cnf(c_0_67,axiom,
( X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X2) ),
b3 ).
cnf(c_0_68,plain,
between(extension(X1,X2,X3,X4),X2,X1),
inference(spm,[status(thm)],[c_0_29,c_0_59]) ).
cnf(c_0_69,axiom,
( colinear(X3,X2,X1)
| ~ colinear(X1,X2,X3) ),
t10_1 ).
cnf(c_0_70,negated_conjecture,
colinear(u,v,w),
prove_uvw_not_colinear ).
cnf(c_0_71,hypothesis,
equidistant(u,v,x,w),
inference(spm,[status(thm)],[c_0_60,c_0_34]) ).
cnf(c_0_72,hypothesis,
equidistant(u,w,x,v),
inference(spm,[status(thm)],[c_0_60,c_0_47]) ).
cnf(c_0_73,hypothesis,
equidistant(w,x,u,v),
inference(spm,[status(thm)],[c_0_61,c_0_34]) ).
cnf(c_0_74,hypothesis,
equidistant(w,v,u,x),
inference(spm,[status(thm)],[c_0_46,c_0_40]) ).
cnf(c_0_75,hypothesis,
~ between(u,x,v),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]),c_0_65]) ).
cnf(c_0_76,axiom,
( equidistant(X4,X3,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
d4_4 ).
cnf(c_0_77,hypothesis,
( between(v,X1,x)
| ~ between(v,X1,y) ),
inference(spm,[status(thm)],[c_0_41,c_0_37]) ).
cnf(c_0_78,hypothesis,
( between(X1,w,y)
| ~ between(X1,w,u) ),
inference(spm,[status(thm)],[c_0_43,c_0_66]) ).
cnf(c_0_79,plain,
( X1 = X2
| ~ between(extension(X1,X2,X3,X4),X1,X2) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_80,axiom,
( X1 = X2
| X3 = extension(X1,X2,X2,X3)
| ~ between(X1,X2,X3) ),
d10_1 ).
cnf(c_0_81,axiom,
( between(X1,X2,X3)
| between(X2,X3,X1)
| between(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
colinearity4 ).
cnf(c_0_82,negated_conjecture,
colinear(w,v,u),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_83,hypothesis,
( between(x,v,w)
| ~ between(u,w,v) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_71]),c_0_72])]) ).
cnf(c_0_84,hypothesis,
~ between(w,v,x),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_73]),c_0_74])]),c_0_75]) ).
cnf(c_0_85,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_38,c_0_40]) ).
cnf(c_0_86,hypothesis,
equidistant(x,v,u,w),
inference(spm,[status(thm)],[c_0_76,c_0_47]) ).
cnf(c_0_87,hypothesis,
equidistant(x,w,u,v),
inference(spm,[status(thm)],[c_0_76,c_0_34]) ).
cnf(c_0_88,hypothesis,
( between(v,w,x)
| ~ between(v,w,u) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_89,plain,
( X1 = X2
| ~ between(X3,X1,X2)
| ~ between(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_90,hypothesis,
u != v,
u_not_v ).
cnf(c_0_91,negated_conjecture,
( between(w,v,u)
| between(v,u,w)
| between(u,w,v) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_92,hypothesis,
~ between(u,w,v),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_83]),c_0_84]) ).
cnf(c_0_93,axiom,
( colinear(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
t10_4 ).
cnf(c_0_94,hypothesis,
( between(w,x,u)
| ~ between(u,v,w) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_34]),c_0_45])]) ).
cnf(c_0_95,hypothesis,
equidistant(v,u,x,w),
inference(spm,[status(thm)],[c_0_46,c_0_34]) ).
cnf(c_0_96,hypothesis,
( between(u,v,w)
| ~ between(x,w,v) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_86]),c_0_87])]) ).
cnf(c_0_97,hypothesis,
( between(x,w,v)
| ~ between(v,w,u) ),
inference(spm,[status(thm)],[c_0_29,c_0_88]) ).
cnf(c_0_98,hypothesis,
( ~ between(u,v,x)
| ~ between(w,v,u) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_63]),c_0_90]) ).
cnf(c_0_99,negated_conjecture,
( between(v,u,w)
| between(w,v,u) ),
inference(sr,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_100,negated_conjecture,
colinear(w,u,v),
inference(spm,[status(thm)],[c_0_93,c_0_70]) ).
cnf(c_0_101,hypothesis,
( ~ between(x,u,w)
| ~ between(u,v,w) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_94]),c_0_64]) ).
cnf(c_0_102,hypothesis,
( between(x,u,w)
| ~ between(v,w,u) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_95]),c_0_40])]) ).
cnf(c_0_103,hypothesis,
( between(u,v,w)
| ~ between(v,w,u) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_104,hypothesis,
( between(v,u,w)
| ~ between(u,v,x) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_105,hypothesis,
( between(x,v,u)
| ~ between(w,u,v) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_56]),c_0_55])]) ).
cnf(c_0_106,negated_conjecture,
( between(w,u,v)
| between(u,v,w)
| between(v,w,u) ),
inference(spm,[status(thm)],[c_0_81,c_0_100]) ).
cnf(c_0_107,hypothesis,
~ between(v,w,u),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]) ).
cnf(c_0_108,hypothesis,
( between(X1,v,y)
| ~ between(X1,v,x) ),
inference(spm,[status(thm)],[c_0_43,c_0_37]) ).
cnf(c_0_109,hypothesis,
( ~ between(u,v,w)
| ~ between(u,v,x) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_104]),c_0_90]) ).
cnf(c_0_110,hypothesis,
( between(u,v,x)
| ~ between(w,u,v) ),
inference(spm,[status(thm)],[c_0_29,c_0_105]) ).
cnf(c_0_111,negated_conjecture,
( between(u,v,w)
| between(w,u,v) ),
inference(sr,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_112,hypothesis,
~ between(u,v,x),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_108]),c_0_109]) ).
cnf(c_0_113,hypothesis,
( between(u,x,w)
| ~ between(u,v,w) ),
inference(spm,[status(thm)],[c_0_29,c_0_94]) ).
cnf(c_0_114,hypothesis,
between(u,v,w),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]) ).
cnf(c_0_115,axiom,
( between(X1,X2,X4)
| X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X2,X3,X4) ),
b7 ).
cnf(c_0_116,hypothesis,
between(u,x,w),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_114])]) ).
cnf(c_0_117,hypothesis,
( between(v,u,x)
| ~ between(w,v,u) ),
inference(spm,[status(thm)],[c_0_29,c_0_63]) ).
cnf(c_0_118,hypothesis,
between(w,v,u),
inference(spm,[status(thm)],[c_0_29,c_0_114]) ).
cnf(c_0_119,hypothesis,
( between(X1,u,w)
| ~ between(X1,u,x) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_64]) ).
cnf(c_0_120,hypothesis,
between(v,u,x),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_118])]) ).
cnf(c_0_121,hypothesis,
~ between(v,u,w),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_114]),c_0_90]) ).
cnf(c_0_122,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO070-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 2400
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Oct 3 06:56:45 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.49 Running first-order model finding
% 0.21/0.49 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.sPngLMbasi/E---3.1_18904.p
% 2.56/0.81 # Version: 3.1pre001
% 2.56/0.81 # Preprocessing class: FSLSSMSMSSSNFFN.
% 2.56/0.81 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.56/0.81 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.56/0.81 # Starting new_bool_3 with 300s (1) cores
% 2.56/0.81 # Starting new_bool_1 with 300s (1) cores
% 2.56/0.81 # Starting sh5l with 300s (1) cores
% 2.56/0.81 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 19031 completed with status 0
% 2.56/0.81 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 2.56/0.81 # Preprocessing class: FSLSSMSMSSSNFFN.
% 2.56/0.81 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.56/0.81 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.56/0.81 # No SInE strategy applied
% 2.56/0.81 # Search class: FGUSM-FFMM33-SFFFFFNN
% 2.56/0.81 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.56/0.81 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 310s (1) cores
% 2.56/0.81 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 2.56/0.81 # Starting new_bool_1 with 307s (1) cores
% 2.56/0.81 # Starting sh5l with 304s (1) cores
% 2.56/0.81 # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 2.56/0.81 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 19039 completed with status 0
% 2.56/0.81 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 2.56/0.81 # Preprocessing class: FSLSSMSMSSSNFFN.
% 2.56/0.81 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.56/0.81 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.56/0.81 # No SInE strategy applied
% 2.56/0.81 # Search class: FGUSM-FFMM33-SFFFFFNN
% 2.56/0.81 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.56/0.81 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 310s (1) cores
% 2.56/0.81 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 2.56/0.81 # Preprocessing time : 0.002 s
% 2.56/0.81 # Presaturation interreduction done
% 2.56/0.81
% 2.56/0.81 # Proof found!
% 2.56/0.81 # SZS status Unsatisfiable
% 2.56/0.81 # SZS output start CNFRefutation
% See solution above
% 2.56/0.81 # Parsed axioms : 114
% 2.56/0.81 # Removed by relevancy pruning/SinE : 0
% 2.56/0.81 # Initial clauses : 114
% 2.56/0.81 # Removed in clause preprocessing : 3
% 2.56/0.81 # Initial clauses in saturation : 111
% 2.56/0.81 # Processed clauses : 3002
% 2.56/0.81 # ...of these trivial : 139
% 2.56/0.81 # ...subsumed : 1647
% 2.56/0.81 # ...remaining for further processing : 1216
% 2.56/0.81 # Other redundant clauses eliminated : 6
% 2.56/0.81 # Clauses deleted for lack of memory : 0
% 2.56/0.81 # Backward-subsumed : 121
% 2.56/0.81 # Backward-rewritten : 40
% 2.56/0.81 # Generated clauses : 18584
% 2.56/0.81 # ...of the previous two non-redundant : 15460
% 2.56/0.81 # ...aggressively subsumed : 0
% 2.56/0.81 # Contextual simplify-reflections : 3
% 2.56/0.81 # Paramodulations : 18575
% 2.56/0.81 # Factorizations : 0
% 2.56/0.81 # NegExts : 0
% 2.56/0.81 # Equation resolutions : 6
% 2.56/0.81 # Total rewrite steps : 5114
% 2.56/0.81 # Propositional unsat checks : 0
% 2.56/0.81 # Propositional check models : 0
% 2.56/0.81 # Propositional check unsatisfiable : 0
% 2.56/0.81 # Propositional clauses : 0
% 2.56/0.81 # Propositional clauses after purity: 0
% 2.56/0.81 # Propositional unsat core size : 0
% 2.56/0.81 # Propositional preprocessing time : 0.000
% 2.56/0.81 # Propositional encoding time : 0.000
% 2.56/0.81 # Propositional solver time : 0.000
% 2.56/0.81 # Success case prop preproc time : 0.000
% 2.56/0.81 # Success case prop encoding time : 0.000
% 2.56/0.81 # Success case prop solver time : 0.000
% 2.56/0.81 # Current number of processed clauses : 947
% 2.56/0.81 # Positive orientable unit clauses : 84
% 2.56/0.81 # Positive unorientable unit clauses: 0
% 2.56/0.81 # Negative unit clauses : 42
% 2.56/0.81 # Non-unit-clauses : 821
% 2.56/0.81 # Current number of unprocessed clauses: 12528
% 2.56/0.81 # ...number of literals in the above : 54100
% 2.56/0.81 # Current number of archived formulas : 0
% 2.56/0.81 # Current number of archived clauses : 267
% 2.56/0.81 # Clause-clause subsumption calls (NU) : 199637
% 2.56/0.81 # Rec. Clause-clause subsumption calls : 164019
% 2.56/0.81 # Non-unit clause-clause subsumptions : 1575
% 2.56/0.81 # Unit Clause-clause subsumption calls : 13569
% 2.56/0.81 # Rewrite failures with RHS unbound : 0
% 2.56/0.81 # BW rewrite match attempts : 543
% 2.56/0.81 # BW rewrite match successes : 24
% 2.56/0.81 # Condensation attempts : 0
% 2.56/0.81 # Condensation successes : 0
% 2.56/0.81 # Termbank termtop insertions : 226461
% 2.56/0.81
% 2.56/0.81 # -------------------------------------------------
% 2.56/0.81 # User time : 0.275 s
% 2.56/0.81 # System time : 0.014 s
% 2.56/0.81 # Total time : 0.289 s
% 2.56/0.81 # Maximum resident set size: 1840 pages
% 2.56/0.81
% 2.56/0.81 # -------------------------------------------------
% 2.56/0.81 # User time : 1.384 s
% 2.56/0.81 # System time : 0.029 s
% 2.56/0.81 # Total time : 1.413 s
% 2.56/0.81 # Maximum resident set size: 1760 pages
% 2.56/0.81 % E---3.1 exiting
%------------------------------------------------------------------------------