TSTP Solution File: GEO012-3 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GEO012-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:31:06 EDT 2023
% Result : Unsatisfiable 1.09s 0.67s
% Output : CNFRefutation 1.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 24
% Syntax : Number of clauses : 127 ( 18 unt; 79 nHn; 125 RR)
% Number of literals : 366 ( 10 equ; 92 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 159 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t10_1,axiom,
( colinear(X3,X2,X1)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.u7IMPkk7m1/E---3.1_24458.p',t10_1) ).
cnf(abc_colinear,hypothesis,
colinear(a,b,c),
file('/export/starexec/sandbox/tmp/tmp.u7IMPkk7m1/E---3.1_24458.p',abc_colinear) ).
cnf(colinearity4,axiom,
( between(X1,X2,X3)
| between(X2,X3,X1)
| between(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.u7IMPkk7m1/E---3.1_24458.p',colinearity4) ).
cnf(t1,axiom,
( between(X3,X2,X1)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.u7IMPkk7m1/E---3.1_24458.p',t1) ).
cnf(abd_colinear,hypothesis,
colinear(a,b,d),
file('/export/starexec/sandbox/tmp/tmp.u7IMPkk7m1/E---3.1_24458.p',abd_colinear) ).
cnf(b6,axiom,
( between(X1,X3,X4)
| X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.u7IMPkk7m1/E---3.1_24458.p',b6) ).
cnf(a_not_b,hypothesis,
a != b,
file('/export/starexec/sandbox/tmp/tmp.u7IMPkk7m1/E---3.1_24458.p',a_not_b) ).
cnf(b7,axiom,
( between(X1,X2,X4)
| X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.u7IMPkk7m1/E---3.1_24458.p',b7) ).
cnf(colinearity3,axiom,
( colinear(X2,X3,X1)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.u7IMPkk7m1/E---3.1_24458.p',colinearity3) ).
cnf(prove_colinearity,negated_conjecture,
( ~ colinear(a,c,d)
| ~ colinear(b,c,d) ),
file('/export/starexec/sandbox/tmp/tmp.u7IMPkk7m1/E---3.1_24458.p',prove_colinearity) ).
cnf(b13,axiom,
( X1 = X2
| between(X2,X3,X4)
| between(X2,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X1,X2,X4) ),
file('/export/starexec/sandbox/tmp/tmp.u7IMPkk7m1/E---3.1_24458.p',b13) ).
cnf(b12,axiom,
( X1 = X2
| between(X1,X3,X4)
| between(X1,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X1,X2,X4) ),
file('/export/starexec/sandbox/tmp/tmp.u7IMPkk7m1/E---3.1_24458.p',b12) ).
cnf(colinearity1,axiom,
( colinear(X1,X2,X3)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.u7IMPkk7m1/E---3.1_24458.p',colinearity1) ).
cnf(c2_2,axiom,
( colinear(X1,X3,X2)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.u7IMPkk7m1/E---3.1_24458.p',c2_2) ).
cnf(t10_3,axiom,
( colinear(X1,X3,X2)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.u7IMPkk7m1/E---3.1_24458.p',t10_3) ).
cnf(b5,axiom,
( between(X2,X3,X4)
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.u7IMPkk7m1/E---3.1_24458.p',b5) ).
cnf(b8,axiom,
( between(X1,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X2,X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.u7IMPkk7m1/E---3.1_24458.p',b8) ).
cnf(colinearity2,axiom,
( colinear(X3,X1,X2)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.u7IMPkk7m1/E---3.1_24458.p',colinearity2) ).
cnf(b9,axiom,
( between(X1,X2,X4)
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.u7IMPkk7m1/E---3.1_24458.p',b9) ).
cnf(c2_3,axiom,
( colinear(X2,X1,X3)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.u7IMPkk7m1/E---3.1_24458.p',c2_3) ).
cnf(t9,axiom,
( between(X1,X2,X4)
| between(X1,X4,X2)
| ~ between(X1,X2,X3)
| ~ between(X1,X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.u7IMPkk7m1/E---3.1_24458.p',t9) ).
cnf(b14,axiom,
( between(X2,X4,X3)
| between(X4,X2,X3)
| ~ between(X1,X2,X3)
| ~ between(X1,X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.u7IMPkk7m1/E---3.1_24458.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/tmp/tmp.u7IMPkk7m1/E---3.1_24458.p',t8) ).
cnf(t2,axiom,
between(X1,X1,X2),
file('/export/starexec/sandbox/tmp/tmp.u7IMPkk7m1/E---3.1_24458.p',t2) ).
cnf(c_0_24,axiom,
( colinear(X3,X2,X1)
| ~ colinear(X1,X2,X3) ),
t10_1 ).
cnf(c_0_25,hypothesis,
colinear(a,b,c),
abc_colinear ).
cnf(c_0_26,axiom,
( between(X1,X2,X3)
| between(X2,X3,X1)
| between(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
colinearity4 ).
cnf(c_0_27,hypothesis,
colinear(c,b,a),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,axiom,
( between(X3,X2,X1)
| ~ between(X1,X2,X3) ),
t1 ).
cnf(c_0_29,hypothesis,
( between(c,b,a)
| between(b,a,c)
| between(a,c,b) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,hypothesis,
colinear(a,b,d),
abd_colinear ).
cnf(c_0_31,axiom,
( between(X1,X3,X4)
| X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X2,X3,X4) ),
b6 ).
cnf(c_0_32,hypothesis,
( between(a,c,b)
| between(b,a,c)
| between(a,b,c) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,hypothesis,
a != b,
a_not_b ).
cnf(c_0_34,hypothesis,
colinear(d,b,a),
inference(spm,[status(thm)],[c_0_24,c_0_30]) ).
cnf(c_0_35,hypothesis,
( between(a,b,c)
| between(a,c,b)
| between(X1,a,c)
| ~ between(X1,b,a) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
cnf(c_0_36,hypothesis,
( between(d,b,a)
| between(b,a,d)
| between(a,d,b) ),
inference(spm,[status(thm)],[c_0_26,c_0_34]) ).
cnf(c_0_37,axiom,
( between(X1,X2,X4)
| X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X2,X3,X4) ),
b7 ).
cnf(c_0_38,axiom,
( colinear(X2,X3,X1)
| ~ between(X1,X2,X3) ),
colinearity3 ).
cnf(c_0_39,hypothesis,
( between(a,d,b)
| between(b,a,d)
| between(d,a,c)
| between(a,c,b)
| between(a,b,c) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,hypothesis,
( between(a,b,c)
| between(a,c,b)
| between(X1,b,c)
| ~ between(X1,b,a) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_32]),c_0_33]) ).
cnf(c_0_41,negated_conjecture,
( ~ colinear(a,c,d)
| ~ colinear(b,c,d) ),
prove_colinearity ).
cnf(c_0_42,hypothesis,
( colinear(a,c,d)
| between(a,b,c)
| between(a,c,b)
| between(b,a,d)
| between(a,d,b) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_43,axiom,
( X1 = X2
| between(X2,X3,X4)
| between(X2,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X1,X2,X4) ),
b13 ).
cnf(c_0_44,hypothesis,
( between(a,d,b)
| between(b,a,d)
| between(d,b,c)
| between(a,c,b)
| between(a,b,c) ),
inference(spm,[status(thm)],[c_0_40,c_0_36]) ).
cnf(c_0_45,negated_conjecture,
( between(a,d,b)
| between(b,a,d)
| between(a,c,b)
| between(a,b,c)
| ~ colinear(b,c,d) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_46,hypothesis,
( between(a,b,c)
| between(a,c,b)
| between(a,X1,c)
| between(a,c,X1)
| ~ between(b,a,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_32]),c_0_33]) ).
cnf(c_0_47,hypothesis,
( between(a,b,c)
| between(a,c,b)
| between(b,a,d)
| between(a,d,b) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_44]),c_0_45]) ).
cnf(c_0_48,axiom,
( X1 = X2
| between(X1,X3,X4)
| between(X1,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X1,X2,X4) ),
b12 ).
cnf(c_0_49,axiom,
( colinear(X1,X2,X3)
| ~ between(X1,X2,X3) ),
colinearity1 ).
cnf(c_0_50,hypothesis,
( between(a,d,b)
| between(a,c,d)
| between(a,d,c)
| between(a,c,b)
| between(a,b,c) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_51,axiom,
( colinear(X1,X3,X2)
| ~ between(X1,X2,X3) ),
c2_2 ).
cnf(c_0_52,hypothesis,
( between(a,b,c)
| between(a,c,b)
| between(b,X1,c)
| between(b,c,X1)
| ~ between(b,a,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_32]),c_0_33]) ).
cnf(c_0_53,axiom,
( colinear(X1,X3,X2)
| ~ colinear(X1,X2,X3) ),
t10_3 ).
cnf(c_0_54,hypothesis,
( colinear(a,d,c)
| between(a,b,c)
| between(a,c,b)
| between(a,d,b) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
cnf(c_0_55,hypothesis,
( between(a,d,b)
| between(b,c,d)
| between(b,d,c)
| between(a,c,b)
| between(a,b,c) ),
inference(spm,[status(thm)],[c_0_52,c_0_47]) ).
cnf(c_0_56,hypothesis,
( colinear(a,c,d)
| between(a,d,b)
| between(a,c,b)
| between(a,b,c) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_57,hypothesis,
( colinear(b,d,c)
| between(a,b,c)
| between(a,c,b)
| between(a,d,b) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_55]),c_0_51]) ).
cnf(c_0_58,negated_conjecture,
( between(a,b,c)
| between(a,c,b)
| between(a,d,b)
| ~ colinear(b,c,d) ),
inference(spm,[status(thm)],[c_0_41,c_0_56]) ).
cnf(c_0_59,axiom,
( between(X2,X3,X4)
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X4) ),
b5 ).
cnf(c_0_60,hypothesis,
( between(a,d,b)
| between(a,c,b)
| between(a,b,c) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_57]),c_0_58]) ).
cnf(c_0_61,axiom,
( between(X1,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X2,X4,X3) ),
b8 ).
cnf(c_0_62,hypothesis,
( between(a,b,c)
| between(a,c,b)
| between(X1,a,c)
| ~ between(b,X1,a) ),
inference(spm,[status(thm)],[c_0_59,c_0_32]) ).
cnf(c_0_63,hypothesis,
( between(a,b,c)
| between(a,c,b)
| between(b,d,a) ),
inference(spm,[status(thm)],[c_0_28,c_0_60]) ).
cnf(c_0_64,hypothesis,
( between(a,b,c)
| between(a,c,b)
| between(X1,d,b)
| ~ between(X1,a,b) ),
inference(spm,[status(thm)],[c_0_61,c_0_60]) ).
cnf(c_0_65,hypothesis,
( between(a,b,c)
| between(a,c,b)
| between(c,a,b) ),
inference(spm,[status(thm)],[c_0_28,c_0_32]) ).
cnf(c_0_66,hypothesis,
( between(d,a,c)
| between(a,c,b)
| between(a,b,c) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_67,axiom,
( colinear(X3,X1,X2)
| ~ between(X1,X2,X3) ),
colinearity2 ).
cnf(c_0_68,hypothesis,
( between(c,d,b)
| between(a,c,b)
| between(a,b,c) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_69,hypothesis,
( colinear(a,c,d)
| between(a,b,c)
| between(a,c,b) ),
inference(spm,[status(thm)],[c_0_38,c_0_66]) ).
cnf(c_0_70,hypothesis,
( colinear(b,c,d)
| between(a,b,c)
| between(a,c,b) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_71,hypothesis,
( between(a,d,b)
| between(b,a,d)
| between(a,b,d) ),
inference(spm,[status(thm)],[c_0_28,c_0_36]) ).
cnf(c_0_72,negated_conjecture,
( between(a,c,b)
| between(a,b,c) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_69]),c_0_70]) ).
cnf(c_0_73,hypothesis,
( between(a,b,d)
| between(a,d,b)
| between(X1,a,d)
| ~ between(b,X1,a) ),
inference(spm,[status(thm)],[c_0_59,c_0_71]) ).
cnf(c_0_74,negated_conjecture,
( between(a,b,c)
| between(b,c,a) ),
inference(spm,[status(thm)],[c_0_28,c_0_72]) ).
cnf(c_0_75,axiom,
( between(X1,X2,X4)
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X4) ),
b9 ).
cnf(c_0_76,axiom,
( colinear(X2,X1,X3)
| ~ between(X1,X2,X3) ),
c2_3 ).
cnf(c_0_77,hypothesis,
( between(a,b,c)
| between(c,a,d)
| between(a,d,b)
| between(a,b,d) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_78,hypothesis,
( between(a,b,d)
| between(a,d,b)
| between(b,X1,d)
| ~ between(b,X1,a) ),
inference(spm,[status(thm)],[c_0_75,c_0_71]) ).
cnf(c_0_79,hypothesis,
( colinear(a,c,d)
| between(a,b,d)
| between(a,d,b)
| between(a,b,c) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_80,axiom,
( between(X1,X2,X4)
| between(X1,X4,X2)
| ~ between(X1,X2,X3)
| ~ between(X1,X4,X3) ),
t9 ).
cnf(c_0_81,hypothesis,
( between(a,b,c)
| between(b,c,d)
| between(a,d,b)
| between(a,b,d) ),
inference(spm,[status(thm)],[c_0_78,c_0_74]) ).
cnf(c_0_82,negated_conjecture,
( between(a,b,c)
| between(a,d,b)
| between(a,b,d)
| ~ colinear(b,c,d) ),
inference(spm,[status(thm)],[c_0_41,c_0_79]) ).
cnf(c_0_83,negated_conjecture,
( between(a,X1,c)
| between(a,c,X1)
| ~ between(a,X1,b) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_72]),c_0_75]) ).
cnf(c_0_84,hypothesis,
( between(a,b,d)
| between(a,d,b)
| between(a,b,c) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_81]),c_0_82]) ).
cnf(c_0_85,axiom,
( between(X2,X4,X3)
| between(X4,X2,X3)
| ~ between(X1,X2,X3)
| ~ between(X1,X4,X3) ),
b14 ).
cnf(c_0_86,negated_conjecture,
( between(a,b,c)
| between(a,b,d)
| between(a,c,d)
| between(a,d,c) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_87,negated_conjecture,
( between(a,b,c)
| between(X1,c,b)
| between(c,X1,b)
| ~ between(a,X1,b) ),
inference(spm,[status(thm)],[c_0_85,c_0_72]) ).
cnf(c_0_88,negated_conjecture,
( colinear(a,d,c)
| between(a,b,d)
| between(a,b,c) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_86]),c_0_51]) ).
cnf(c_0_89,negated_conjecture,
( between(a,b,d)
| between(c,d,b)
| between(d,c,b)
| between(a,b,c) ),
inference(spm,[status(thm)],[c_0_87,c_0_84]) ).
cnf(c_0_90,negated_conjecture,
( colinear(a,c,d)
| between(a,b,c)
| between(a,b,d) ),
inference(spm,[status(thm)],[c_0_53,c_0_88]) ).
cnf(c_0_91,axiom,
( between(X1,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X2,X4,X5)
| ~ between(X1,X5,X3) ),
t8 ).
cnf(c_0_92,negated_conjecture,
( colinear(d,c,b)
| between(a,b,c)
| between(a,b,d) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_89]),c_0_76]) ).
cnf(c_0_93,negated_conjecture,
( between(a,b,d)
| between(a,b,c)
| ~ colinear(b,c,d) ),
inference(spm,[status(thm)],[c_0_41,c_0_90]) ).
cnf(c_0_94,negated_conjecture,
( between(a,b,c)
| between(X1,c,X2)
| ~ between(X1,b,X2)
| ~ between(X1,a,X2) ),
inference(spm,[status(thm)],[c_0_91,c_0_72]) ).
cnf(c_0_95,negated_conjecture,
( between(a,b,d)
| between(a,b,c) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_92]),c_0_93]) ).
cnf(c_0_96,axiom,
between(X1,X1,X2),
t2 ).
cnf(c_0_97,negated_conjecture,
( between(a,c,d)
| between(a,b,c) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96])]) ).
cnf(c_0_98,negated_conjecture,
( between(a,b,c)
| between(X1,b,d)
| ~ between(a,X1,b) ),
inference(spm,[status(thm)],[c_0_59,c_0_95]) ).
cnf(c_0_99,negated_conjecture,
( colinear(a,c,d)
| between(a,b,c) ),
inference(spm,[status(thm)],[c_0_49,c_0_97]) ).
cnf(c_0_100,negated_conjecture,
( between(c,b,d)
| between(a,b,c) ),
inference(spm,[status(thm)],[c_0_98,c_0_72]) ).
cnf(c_0_101,negated_conjecture,
( between(a,b,c)
| ~ colinear(b,c,d) ),
inference(spm,[status(thm)],[c_0_41,c_0_99]) ).
cnf(c_0_102,negated_conjecture,
between(a,b,c),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_100]),c_0_101]) ).
cnf(c_0_103,hypothesis,
( between(a,b,d)
| between(a,d,b)
| between(X1,a,d)
| ~ between(X1,b,a) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_71]),c_0_33]) ).
cnf(c_0_104,negated_conjecture,
between(c,b,a),
inference(spm,[status(thm)],[c_0_28,c_0_102]) ).
cnf(c_0_105,hypothesis,
( between(c,a,d)
| between(a,d,b)
| between(a,b,d) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_106,negated_conjecture,
( between(X1,b,c)
| ~ between(X1,a,b) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_102]),c_0_33]) ).
cnf(c_0_107,hypothesis,
( between(a,b,d)
| between(a,d,b)
| between(d,a,b) ),
inference(spm,[status(thm)],[c_0_28,c_0_71]) ).
cnf(c_0_108,negated_conjecture,
( between(X1,b,c)
| ~ between(a,X1,b) ),
inference(spm,[status(thm)],[c_0_59,c_0_102]) ).
cnf(c_0_109,hypothesis,
( colinear(a,c,d)
| between(a,b,d)
| between(a,d,b) ),
inference(spm,[status(thm)],[c_0_76,c_0_105]) ).
cnf(c_0_110,hypothesis,
( between(a,b,d)
| between(d,b,c) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]) ).
cnf(c_0_111,negated_conjecture,
( between(a,d,b)
| between(a,b,d)
| ~ colinear(b,c,d) ),
inference(spm,[status(thm)],[c_0_41,c_0_109]) ).
cnf(c_0_112,hypothesis,
( colinear(b,c,d)
| between(a,b,d) ),
inference(spm,[status(thm)],[c_0_38,c_0_110]) ).
cnf(c_0_113,negated_conjecture,
( between(a,X1,c)
| ~ between(a,X1,b) ),
inference(spm,[status(thm)],[c_0_75,c_0_102]) ).
cnf(c_0_114,negated_conjecture,
( between(a,b,d)
| between(a,d,b) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_115,negated_conjecture,
( between(a,b,d)
| between(a,d,c) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_116,negated_conjecture,
( colinear(a,c,d)
| between(a,b,d) ),
inference(spm,[status(thm)],[c_0_51,c_0_115]) ).
cnf(c_0_117,negated_conjecture,
( between(b,X1,c)
| between(b,c,X1)
| ~ between(a,b,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_102]),c_0_33]) ).
cnf(c_0_118,negated_conjecture,
between(a,b,d),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_116]),c_0_112]) ).
cnf(c_0_119,negated_conjecture,
( between(b,c,d)
| between(b,d,c) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_120,negated_conjecture,
colinear(b,d,c),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_119]),c_0_51]) ).
cnf(c_0_121,negated_conjecture,
( between(a,X1,c)
| between(a,c,X1)
| ~ between(a,b,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_102]),c_0_33]) ).
cnf(c_0_122,negated_conjecture,
colinear(b,c,d),
inference(spm,[status(thm)],[c_0_53,c_0_120]) ).
cnf(c_0_123,negated_conjecture,
( between(a,c,d)
| between(a,d,c) ),
inference(spm,[status(thm)],[c_0_121,c_0_118]) ).
cnf(c_0_124,negated_conjecture,
~ colinear(a,c,d),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_122])]) ).
cnf(c_0_125,negated_conjecture,
between(a,c,d),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_123]),c_0_124]) ).
cnf(c_0_126,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_125]),c_0_124]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : GEO012-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.08/0.16 % Command : run_E %s %d THM
% 0.16/0.37 % Computer : n011.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 2400
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Oct 3 06:59:53 EDT 2023
% 0.16/0.38 % CPUTime :
% 0.24/0.53 Running first-order theorem proving
% 0.24/0.53 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.u7IMPkk7m1/E---3.1_24458.p
% 1.09/0.67 # Version: 3.1pre001
% 1.09/0.67 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.09/0.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.09/0.67 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.09/0.67 # Starting new_bool_3 with 300s (1) cores
% 1.09/0.67 # Starting new_bool_1 with 300s (1) cores
% 1.09/0.67 # Starting sh5l with 300s (1) cores
% 1.09/0.67 # new_bool_1 with pid 24538 completed with status 0
% 1.09/0.67 # Result found by new_bool_1
% 1.09/0.67 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.09/0.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.09/0.67 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.09/0.67 # Starting new_bool_3 with 300s (1) cores
% 1.09/0.67 # Starting new_bool_1 with 300s (1) cores
% 1.09/0.67 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.09/0.67 # Search class: FGHSM-FFMF00-SFFFFFNN
% 1.09/0.67 # partial match(2): FGHSM-FFMF21-SFFFFFNN
% 1.09/0.67 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.09/0.67 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 181s (1) cores
% 1.09/0.67 # G-E--_208_C18_F1_SE_CS_SP_PS_S4b with pid 24541 completed with status 0
% 1.09/0.67 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S4b
% 1.09/0.67 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.09/0.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.09/0.67 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.09/0.67 # Starting new_bool_3 with 300s (1) cores
% 1.09/0.67 # Starting new_bool_1 with 300s (1) cores
% 1.09/0.67 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.09/0.67 # Search class: FGHSM-FFMF00-SFFFFFNN
% 1.09/0.67 # partial match(2): FGHSM-FFMF21-SFFFFFNN
% 1.09/0.67 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.09/0.67 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 181s (1) cores
% 1.09/0.67 # Preprocessing time : 0.002 s
% 1.09/0.67 # Presaturation interreduction done
% 1.09/0.67
% 1.09/0.67 # Proof found!
% 1.09/0.67 # SZS status Unsatisfiable
% 1.09/0.67 # SZS output start CNFRefutation
% See solution above
% 1.09/0.67 # Parsed axioms : 105
% 1.09/0.67 # Removed by relevancy pruning/SinE : 39
% 1.09/0.67 # Initial clauses : 66
% 1.09/0.67 # Removed in clause preprocessing : 1
% 1.09/0.67 # Initial clauses in saturation : 65
% 1.09/0.67 # Processed clauses : 1526
% 1.09/0.67 # ...of these trivial : 37
% 1.09/0.67 # ...subsumed : 732
% 1.09/0.67 # ...remaining for further processing : 757
% 1.09/0.67 # Other redundant clauses eliminated : 2
% 1.09/0.67 # Clauses deleted for lack of memory : 0
% 1.09/0.67 # Backward-subsumed : 368
% 1.09/0.67 # Backward-rewritten : 96
% 1.09/0.67 # Generated clauses : 4325
% 1.09/0.67 # ...of the previous two non-redundant : 3346
% 1.09/0.67 # ...aggressively subsumed : 0
% 1.09/0.67 # Contextual simplify-reflections : 33
% 1.09/0.67 # Paramodulations : 4304
% 1.09/0.67 # Factorizations : 0
% 1.09/0.67 # NegExts : 0
% 1.09/0.67 # Equation resolutions : 2
% 1.09/0.67 # Total rewrite steps : 1196
% 1.09/0.67 # Propositional unsat checks : 0
% 1.09/0.67 # Propositional check models : 0
% 1.09/0.67 # Propositional check unsatisfiable : 0
% 1.09/0.67 # Propositional clauses : 0
% 1.09/0.67 # Propositional clauses after purity: 0
% 1.09/0.67 # Propositional unsat core size : 0
% 1.09/0.67 # Propositional preprocessing time : 0.000
% 1.09/0.67 # Propositional encoding time : 0.000
% 1.09/0.67 # Propositional solver time : 0.000
% 1.09/0.67 # Success case prop preproc time : 0.000
% 1.09/0.67 # Success case prop encoding time : 0.000
% 1.09/0.67 # Success case prop solver time : 0.000
% 1.09/0.67 # Current number of processed clauses : 210
% 1.09/0.67 # Positive orientable unit clauses : 31
% 1.09/0.67 # Positive unorientable unit clauses: 0
% 1.09/0.67 # Negative unit clauses : 6
% 1.09/0.67 # Non-unit-clauses : 173
% 1.09/0.67 # Current number of unprocessed clauses: 1359
% 1.09/0.67 # ...number of literals in the above : 7224
% 1.09/0.67 # Current number of archived formulas : 0
% 1.09/0.67 # Current number of archived clauses : 545
% 1.09/0.67 # Clause-clause subsumption calls (NU) : 55075
% 1.09/0.67 # Rec. Clause-clause subsumption calls : 20867
% 1.09/0.67 # Non-unit clause-clause subsumptions : 1126
% 1.09/0.67 # Unit Clause-clause subsumption calls : 259
% 1.09/0.67 # Rewrite failures with RHS unbound : 0
% 1.09/0.67 # BW rewrite match attempts : 69
% 1.09/0.67 # BW rewrite match successes : 5
% 1.09/0.67 # Condensation attempts : 0
% 1.09/0.67 # Condensation successes : 0
% 1.09/0.67 # Termbank termtop insertions : 62940
% 1.09/0.67
% 1.09/0.67 # -------------------------------------------------
% 1.09/0.67 # User time : 0.125 s
% 1.09/0.67 # System time : 0.002 s
% 1.09/0.67 # Total time : 0.127 s
% 1.09/0.67 # Maximum resident set size: 1824 pages
% 1.09/0.67
% 1.09/0.67 # -------------------------------------------------
% 1.09/0.67 # User time : 0.128 s
% 1.09/0.67 # System time : 0.004 s
% 1.09/0.67 # Total time : 0.132 s
% 1.09/0.67 # Maximum resident set size: 1748 pages
% 1.09/0.67 % E---3.1 exiting
% 1.09/0.67 % E---3.1 exiting
%------------------------------------------------------------------------------