TSTP Solution File: GEO642+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GEO642+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n015.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 17:35:28 EDT 2023
% Result : Theorem 0.88s 0.77s
% Output : CNFRefutation 0.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 64
% Number of leaves : 34
% Syntax : Number of formulae : 244 ( 100 unt; 0 def)
% Number of atoms : 494 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 410 ( 160 ~; 157 |; 58 &)
% ( 0 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 19 ( 19 usr; 17 con; 0-6 aty)
% Number of variables : 644 ( 58 sgn; 330 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL81109108,conjecture,
! [X1,X2,X8,X3,X9,X4,X13,X5,X6,X19,X20,X21,X22,X23,X24,X25,X26] :
( ( midp(X8,X2,X1)
& circle(X8,X1,X19,X20)
& circle(X8,X1,X3,X21)
& circle(X8,X1,X9,X22)
& circle(X3,X2,X23,X24)
& circle(X8,X1,X4,X25)
& circle(X3,X2,X4,X26)
& coll(X13,X2,X9)
& coll(X13,X1,X4)
& coll(X5,X1,X3)
& coll(X5,X2,X9)
& coll(X6,X1,X4)
& coll(X6,X3,X9) )
=> perp(X5,X6,X1,X4) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',exemplo6GDDFULL81109108) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',ruleD1) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X3)
& coll(X1,X2,X4) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',ruleD3) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',ruleD2) ).
fof(ruleD69,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',ruleD69) ).
fof(ruleD9,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( perp(X1,X2,X3,X4)
& perp(X3,X4,X5,X6) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',ruleD9) ).
fof(ruleX11,axiom,
! [X1,X2,X3,X8] :
? [X9] :
( circle(X8,X1,X2,X3)
=> perp(X9,X1,X1,X8) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',ruleX11) ).
fof(ruleD8,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',ruleD8) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',ruleD68) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',ruleD11) ).
fof(ruleD25,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( cong(X1,X2,X3,X4)
& cong(X3,X4,X5,X6) )
=> cong(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',ruleD25) ).
fof(ruleD64,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& para(X1,X3,X2,X4)
& para(X1,X4,X2,X3) )
=> midp(X7,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',ruleD64) ).
fof(ruleD67,axiom,
! [X1,X2,X3] :
( ( cong(X1,X2,X1,X3)
& coll(X1,X2,X3) )
=> midp(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',ruleD67) ).
fof(ruleD63,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& midp(X7,X3,X4) )
=> para(X1,X3,X2,X4) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',ruleD63) ).
fof(ruleX6,axiom,
! [X1,X2,X3,X4,X7,X17] :
? [X9] :
( ( midp(X7,X1,X2)
& midp(X17,X3,X4) )
=> ( midp(X9,X1,X4)
& para(X9,X7,X2,X4)
& para(X9,X17,X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',ruleX6) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',ruleD4) ).
fof(ruleD19,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X3,X4,X1,X2,X11,X12,X9,X10) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',ruleD19) ).
fof(ruleD40,axiom,
! [X1,X2,X3,X4,X9,X10] :
( para(X1,X2,X3,X4)
=> eqangle(X1,X2,X9,X10,X3,X4,X9,X10) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',ruleD40) ).
fof(ruleD39,axiom,
! [X1,X2,X3,X4,X9,X10] :
( eqangle(X1,X2,X9,X10,X3,X4,X9,X10)
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',ruleD39) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',ruleD66) ).
fof(ruleD42b,axiom,
! [X1,X2,X9,X10] :
( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
& coll(X9,X10,X2) )
=> cyclic(X1,X2,X9,X10) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',ruleD42b) ).
fof(ruleD15,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X3,X2,X4) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',ruleD15) ).
fof(ruleD51,axiom,
! [X1,X2,X3,X8,X7] :
( ( circle(X8,X1,X2,X3)
& coll(X7,X2,X3)
& eqangle(X1,X2,X1,X3,X8,X2,X8,X7) )
=> midp(X7,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',ruleD51) ).
fof(ruleD41,axiom,
! [X1,X2,X9,X10] :
( cyclic(X1,X2,X9,X10)
=> eqangle(X9,X1,X9,X2,X10,X1,X10,X2) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',ruleD41) ).
fof(ruleD14,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',ruleD14) ).
fof(ruleD16,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X2,X1,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',ruleD16) ).
fof(ruleD45,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& para(X5,X6,X2,X3)
& coll(X6,X1,X3) )
=> midp(X6,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',ruleD45) ).
fof(ruleD17,axiom,
! [X1,X2,X3,X4,X5] :
( ( cyclic(X1,X2,X3,X4)
& cyclic(X1,X2,X3,X5) )
=> cyclic(X2,X3,X4,X5) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',ruleD17) ).
fof(ruleD73,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
& para(X9,X10,X11,X12) )
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',ruleD73) ).
fof(ruleD46,axiom,
! [X1,X2,X8] :
( cong(X8,X1,X8,X2)
=> eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',ruleD46) ).
fof(ruleD44,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& midp(X6,X1,X3) )
=> para(X5,X6,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',ruleD44) ).
fof(ruleD23,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',ruleD23) ).
fof(ruleD24,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',ruleD24) ).
fof(ruleD56,axiom,
! [X1,X2,X9,X10] :
( ( cong(X1,X9,X2,X9)
& cong(X1,X10,X2,X10) )
=> perp(X1,X2,X9,X10) ),
file('/export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p',ruleD56) ).
fof(c_0_34,negated_conjecture,
~ ! [X1,X2,X8,X3,X9,X4,X13,X5,X6,X19,X20,X21,X22,X23,X24,X25,X26] :
( ( midp(X8,X2,X1)
& circle(X8,X1,X19,X20)
& circle(X8,X1,X3,X21)
& circle(X8,X1,X9,X22)
& circle(X3,X2,X23,X24)
& circle(X8,X1,X4,X25)
& circle(X3,X2,X4,X26)
& coll(X13,X2,X9)
& coll(X13,X1,X4)
& coll(X5,X1,X3)
& coll(X5,X2,X9)
& coll(X6,X1,X4)
& coll(X6,X3,X9) )
=> perp(X5,X6,X1,X4) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL81109108]) ).
fof(c_0_35,plain,
! [X135,X136,X137] :
( ~ coll(X135,X136,X137)
| coll(X135,X137,X136) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
fof(c_0_36,negated_conjecture,
( midp(esk3_0,esk2_0,esk1_0)
& circle(esk3_0,esk1_0,esk10_0,esk11_0)
& circle(esk3_0,esk1_0,esk4_0,esk12_0)
& circle(esk3_0,esk1_0,esk5_0,esk13_0)
& circle(esk4_0,esk2_0,esk14_0,esk15_0)
& circle(esk3_0,esk1_0,esk6_0,esk16_0)
& circle(esk4_0,esk2_0,esk6_0,esk17_0)
& coll(esk7_0,esk2_0,esk5_0)
& coll(esk7_0,esk1_0,esk6_0)
& coll(esk8_0,esk1_0,esk4_0)
& coll(esk8_0,esk2_0,esk5_0)
& coll(esk9_0,esk1_0,esk6_0)
& coll(esk9_0,esk4_0,esk5_0)
& ~ perp(esk8_0,esk9_0,esk1_0,esk6_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).
fof(c_0_37,plain,
! [X141,X142,X143,X144] :
( ~ coll(X141,X142,X143)
| ~ coll(X141,X142,X144)
| coll(X143,X144,X141) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_38,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_39,negated_conjecture,
coll(esk8_0,esk1_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_40,plain,
! [X138,X139,X140] :
( ~ coll(X138,X139,X140)
| coll(X139,X138,X140) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_41,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_42,negated_conjecture,
coll(esk8_0,esk4_0,esk1_0),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_43,negated_conjecture,
coll(esk9_0,esk1_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_45,negated_conjecture,
( coll(X1,esk1_0,esk8_0)
| ~ coll(esk8_0,esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_46,negated_conjecture,
coll(esk9_0,esk6_0,esk1_0),
inference(spm,[status(thm)],[c_0_38,c_0_43]) ).
cnf(c_0_47,negated_conjecture,
coll(esk1_0,esk8_0,esk4_0),
inference(spm,[status(thm)],[c_0_44,c_0_39]) ).
cnf(c_0_48,negated_conjecture,
coll(esk1_0,esk1_0,esk8_0),
inference(spm,[status(thm)],[c_0_45,c_0_42]) ).
cnf(c_0_49,negated_conjecture,
( coll(X1,esk1_0,esk9_0)
| ~ coll(esk9_0,esk6_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_46]) ).
cnf(c_0_50,negated_conjecture,
( coll(X1,esk4_0,esk1_0)
| ~ coll(esk1_0,esk8_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_47]) ).
cnf(c_0_51,negated_conjecture,
coll(esk1_0,esk8_0,esk1_0),
inference(spm,[status(thm)],[c_0_38,c_0_48]) ).
cnf(c_0_52,negated_conjecture,
coll(esk9_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_53,negated_conjecture,
coll(esk1_0,esk1_0,esk9_0),
inference(spm,[status(thm)],[c_0_49,c_0_46]) ).
cnf(c_0_54,negated_conjecture,
coll(esk1_0,esk4_0,esk1_0),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_55,negated_conjecture,
coll(esk4_0,esk9_0,esk5_0),
inference(spm,[status(thm)],[c_0_44,c_0_52]) ).
cnf(c_0_56,negated_conjecture,
( coll(X1,esk9_0,esk1_0)
| ~ coll(esk1_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_53]) ).
cnf(c_0_57,negated_conjecture,
coll(esk1_0,esk1_0,esk4_0),
inference(spm,[status(thm)],[c_0_38,c_0_54]) ).
cnf(c_0_58,negated_conjecture,
( coll(X1,esk5_0,esk4_0)
| ~ coll(esk4_0,esk9_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_55]) ).
cnf(c_0_59,negated_conjecture,
coll(esk4_0,esk9_0,esk1_0),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
fof(c_0_60,plain,
! [X159,X160,X161] :
( ~ midp(X159,X160,X161)
| coll(X159,X160,X161) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).
cnf(c_0_61,negated_conjecture,
coll(esk1_0,esk4_0,esk8_0),
inference(spm,[status(thm)],[c_0_38,c_0_47]) ).
cnf(c_0_62,negated_conjecture,
coll(esk1_0,esk5_0,esk4_0),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_63,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_64,negated_conjecture,
midp(esk3_0,esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_65,negated_conjecture,
coll(esk8_0,esk2_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_66,negated_conjecture,
( coll(X1,esk8_0,esk1_0)
| ~ coll(esk1_0,esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_61]) ).
cnf(c_0_67,negated_conjecture,
coll(esk1_0,esk4_0,esk5_0),
inference(spm,[status(thm)],[c_0_38,c_0_62]) ).
cnf(c_0_68,negated_conjecture,
coll(esk3_0,esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_69,negated_conjecture,
coll(esk8_0,esk5_0,esk2_0),
inference(spm,[status(thm)],[c_0_38,c_0_65]) ).
cnf(c_0_70,negated_conjecture,
coll(esk5_0,esk8_0,esk1_0),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_71,negated_conjecture,
coll(esk2_0,esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_44,c_0_68]) ).
cnf(c_0_72,negated_conjecture,
( coll(X1,esk2_0,esk8_0)
| ~ coll(esk8_0,esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_69]) ).
cnf(c_0_73,negated_conjecture,
coll(esk8_0,esk5_0,esk1_0),
inference(spm,[status(thm)],[c_0_44,c_0_70]) ).
cnf(c_0_74,negated_conjecture,
coll(esk2_0,esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_38,c_0_71]) ).
cnf(c_0_75,negated_conjecture,
coll(esk1_0,esk2_0,esk8_0),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_76,negated_conjecture,
( coll(X1,esk3_0,esk2_0)
| ~ coll(esk2_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_74]) ).
cnf(c_0_77,negated_conjecture,
coll(esk2_0,esk1_0,esk8_0),
inference(spm,[status(thm)],[c_0_44,c_0_75]) ).
fof(c_0_78,plain,
! [X52,X53,X54,X55,X56,X57] :
( ~ perp(X52,X53,X54,X55)
| ~ perp(X54,X55,X56,X57)
| para(X52,X53,X56,X57) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_79,plain,
! [X217,X218,X219,X220] :
( ~ circle(X220,X217,X218,X219)
| perp(esk31_4(X217,X218,X219,X220),X217,X217,X220) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
fof(c_0_80,plain,
! [X48,X49,X50,X51] :
( ~ perp(X48,X49,X50,X51)
| perp(X50,X51,X48,X49) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
cnf(c_0_81,negated_conjecture,
coll(esk8_0,esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_82,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_83,plain,
( perp(esk31_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_84,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
fof(c_0_85,plain,
! [X259,X260,X261] :
( ~ midp(X259,X260,X261)
| cong(X259,X260,X259,X261) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
fof(c_0_86,plain,
! [X241,X242,X243] :
( ~ midp(X243,X242,X241)
| midp(X243,X241,X242) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_87,negated_conjecture,
( coll(X1,esk5_0,esk8_0)
| ~ coll(esk8_0,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_65]) ).
cnf(c_0_88,negated_conjecture,
coll(esk8_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_38,c_0_81]) ).
cnf(c_0_89,plain,
( para(X1,X2,X3,X4)
| ~ circle(X4,X3,X5,X6)
| ~ perp(X1,X2,esk31_4(X3,X5,X6,X4),X3) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_90,plain,
( perp(X1,X2,esk31_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_84,c_0_83]) ).
fof(c_0_91,plain,
! [X311,X312,X313,X314,X315,X316] :
( ~ cong(X311,X312,X313,X314)
| ~ cong(X313,X314,X315,X316)
| cong(X311,X312,X315,X316) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).
cnf(c_0_92,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_93,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_94,negated_conjecture,
( coll(X1,esk1_0,esk3_0)
| ~ coll(esk3_0,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_68]) ).
cnf(c_0_95,negated_conjecture,
coll(esk5_0,esk5_0,esk8_0),
inference(spm,[status(thm)],[c_0_87,c_0_65]) ).
cnf(c_0_96,negated_conjecture,
coll(esk3_0,esk5_0,esk8_0),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
fof(c_0_97,plain,
! [X254,X255,X256,X257,X258] :
( ~ midp(X258,X254,X255)
| ~ para(X254,X256,X255,X257)
| ~ para(X254,X257,X255,X256)
| midp(X258,X256,X257) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_98,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_99,negated_conjecture,
circle(esk3_0,esk1_0,esk10_0,esk11_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_100,plain,
( cong(X1,X2,X5,X6)
| ~ cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_101,negated_conjecture,
cong(esk3_0,esk2_0,esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_92,c_0_64]) ).
cnf(c_0_102,negated_conjecture,
midp(esk3_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_93,c_0_64]) ).
cnf(c_0_103,negated_conjecture,
coll(esk1_0,esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_94,c_0_68]) ).
cnf(c_0_104,negated_conjecture,
coll(esk5_0,esk8_0,esk5_0),
inference(spm,[status(thm)],[c_0_38,c_0_95]) ).
cnf(c_0_105,negated_conjecture,
coll(esk5_0,esk3_0,esk8_0),
inference(spm,[status(thm)],[c_0_44,c_0_96]) ).
cnf(c_0_106,plain,
( midp(X1,X4,X5)
| ~ midp(X1,X2,X3)
| ~ para(X2,X4,X3,X5)
| ~ para(X2,X5,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_107,negated_conjecture,
para(esk1_0,esk3_0,esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
fof(c_0_108,plain,
! [X156,X157,X158] :
( ~ cong(X156,X157,X156,X158)
| ~ coll(X156,X157,X158)
| midp(X156,X157,X158) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_109,negated_conjecture,
( cong(X1,X2,esk3_0,esk1_0)
| ~ cong(X1,X2,esk3_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_110,negated_conjecture,
cong(esk3_0,esk1_0,esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_92,c_0_102]) ).
cnf(c_0_111,negated_conjecture,
coll(esk1_0,esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_38,c_0_103]) ).
cnf(c_0_112,negated_conjecture,
coll(esk3_0,esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_76,c_0_74]) ).
cnf(c_0_113,negated_conjecture,
( coll(X1,esk5_0,esk5_0)
| ~ coll(esk5_0,esk8_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_104]) ).
cnf(c_0_114,negated_conjecture,
coll(esk5_0,esk8_0,esk3_0),
inference(spm,[status(thm)],[c_0_38,c_0_105]) ).
fof(c_0_115,plain,
! [X249,X250,X251,X252,X253] :
( ~ midp(X253,X249,X250)
| ~ midp(X253,X251,X252)
| para(X249,X251,X250,X252) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).
fof(c_0_116,plain,
! [X262,X263,X264,X265,X266,X267] :
( ( midp(esk36_6(X262,X263,X264,X265,X266,X267),X262,X265)
| ~ midp(X266,X262,X263)
| ~ midp(X267,X264,X265) )
& ( para(esk36_6(X262,X263,X264,X265,X266,X267),X266,X263,X265)
| ~ midp(X266,X262,X263)
| ~ midp(X267,X264,X265) )
& ( para(esk36_6(X262,X263,X264,X265,X266,X267),X267,X262,X264)
| ~ midp(X266,X262,X263)
| ~ midp(X267,X264,X265) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX6])])])])]) ).
cnf(c_0_117,negated_conjecture,
( midp(X1,esk3_0,esk3_0)
| ~ midp(X1,esk1_0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_107])]) ).
cnf(c_0_118,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_119,negated_conjecture,
cong(esk3_0,esk1_0,esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_120,negated_conjecture,
coll(esk3_0,esk1_0,esk1_0),
inference(spm,[status(thm)],[c_0_44,c_0_111]) ).
cnf(c_0_121,negated_conjecture,
coll(esk3_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_38,c_0_112]) ).
cnf(c_0_122,negated_conjecture,
( coll(X1,esk5_0,esk9_0)
| ~ coll(esk9_0,esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_52]) ).
cnf(c_0_123,negated_conjecture,
coll(esk3_0,esk5_0,esk5_0),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_124,plain,
( para(X2,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_125,plain,
( midp(esk36_6(X1,X2,X3,X4,X5,X6),X1,X4)
| ~ midp(X5,X1,X2)
| ~ midp(X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_126,negated_conjecture,
( cong(X1,esk3_0,X1,esk3_0)
| ~ midp(X1,esk1_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_92,c_0_117]) ).
cnf(c_0_127,negated_conjecture,
midp(esk3_0,esk1_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120])]) ).
cnf(c_0_128,negated_conjecture,
( coll(X1,esk3_0,esk3_0)
| ~ coll(esk3_0,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_121]) ).
cnf(c_0_129,negated_conjecture,
coll(esk5_0,esk5_0,esk9_0),
inference(spm,[status(thm)],[c_0_122,c_0_52]) ).
cnf(c_0_130,negated_conjecture,
coll(esk5_0,esk3_0,esk5_0),
inference(spm,[status(thm)],[c_0_44,c_0_123]) ).
cnf(c_0_131,plain,
( para(X1,X2,X3,X4)
| ~ midp(esk36_6(X2,X5,X6,X4,X7,X8),X1,X3)
| ~ midp(X8,X6,X4)
| ~ midp(X7,X2,X5) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_132,plain,
( midp(esk36_6(X1,X2,X3,X4,X5,X6),X4,X1)
| ~ midp(X6,X3,X4)
| ~ midp(X5,X1,X2) ),
inference(spm,[status(thm)],[c_0_93,c_0_125]) ).
cnf(c_0_133,negated_conjecture,
cong(esk3_0,esk3_0,esk3_0,esk3_0),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_134,negated_conjecture,
coll(esk3_0,esk3_0,esk3_0),
inference(spm,[status(thm)],[c_0_128,c_0_121]) ).
cnf(c_0_135,negated_conjecture,
( coll(X1,esk9_0,esk5_0)
| ~ coll(esk5_0,esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_129]) ).
cnf(c_0_136,negated_conjecture,
coll(esk5_0,esk5_0,esk3_0),
inference(spm,[status(thm)],[c_0_38,c_0_130]) ).
cnf(c_0_137,plain,
( para(X1,X2,X2,X1)
| ~ midp(X3,X4,X1)
| ~ midp(X5,X2,X6) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_138,negated_conjecture,
midp(esk3_0,esk3_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_133]),c_0_134])]) ).
cnf(c_0_139,negated_conjecture,
coll(esk3_0,esk9_0,esk5_0),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
fof(c_0_140,plain,
! [X269,X270,X271,X272] :
( ~ para(X269,X270,X271,X272)
| para(X269,X270,X272,X271) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_141,negated_conjecture,
( para(esk3_0,X1,X1,esk3_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_142,negated_conjecture,
coll(esk9_0,esk5_0,esk4_0),
inference(spm,[status(thm)],[c_0_38,c_0_52]) ).
cnf(c_0_143,negated_conjecture,
coll(esk9_0,esk3_0,esk5_0),
inference(spm,[status(thm)],[c_0_44,c_0_139]) ).
cnf(c_0_144,negated_conjecture,
circle(esk4_0,esk2_0,esk14_0,esk15_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_145,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_146,negated_conjecture,
para(esk3_0,esk2_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_141,c_0_64]) ).
cnf(c_0_147,negated_conjecture,
( coll(X1,esk4_0,esk9_0)
| ~ coll(esk9_0,esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_142]) ).
cnf(c_0_148,negated_conjecture,
coll(esk9_0,esk5_0,esk3_0),
inference(spm,[status(thm)],[c_0_38,c_0_143]) ).
cnf(c_0_149,negated_conjecture,
para(esk2_0,esk4_0,esk2_0,esk4_0),
inference(spm,[status(thm)],[c_0_98,c_0_144]) ).
cnf(c_0_150,negated_conjecture,
para(esk3_0,esk2_0,esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_151,negated_conjecture,
coll(esk4_0,esk4_0,esk9_0),
inference(spm,[status(thm)],[c_0_147,c_0_142]) ).
cnf(c_0_152,negated_conjecture,
coll(esk3_0,esk4_0,esk9_0),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_153,negated_conjecture,
( midp(X1,esk4_0,esk4_0)
| ~ midp(X1,esk2_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_149]),c_0_149])]) ).
cnf(c_0_154,negated_conjecture,
( midp(X1,esk2_0,esk2_0)
| ~ midp(X1,esk3_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_150]),c_0_150])]) ).
cnf(c_0_155,negated_conjecture,
coll(esk4_0,esk9_0,esk4_0),
inference(spm,[status(thm)],[c_0_38,c_0_151]) ).
cnf(c_0_156,negated_conjecture,
coll(esk4_0,esk3_0,esk9_0),
inference(spm,[status(thm)],[c_0_44,c_0_152]) ).
cnf(c_0_157,negated_conjecture,
( cong(X1,esk4_0,X1,esk4_0)
| ~ midp(X1,esk2_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_92,c_0_153]) ).
cnf(c_0_158,negated_conjecture,
midp(esk3_0,esk2_0,esk2_0),
inference(spm,[status(thm)],[c_0_154,c_0_138]) ).
cnf(c_0_159,negated_conjecture,
( coll(X1,esk4_0,esk4_0)
| ~ coll(esk4_0,esk9_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_155]) ).
cnf(c_0_160,negated_conjecture,
coll(esk4_0,esk9_0,esk3_0),
inference(spm,[status(thm)],[c_0_38,c_0_156]) ).
fof(c_0_161,plain,
! [X328,X329,X330,X331,X332,X333,X334,X335] :
( ~ eqangle(X328,X329,X330,X331,X332,X333,X334,X335)
| eqangle(X330,X331,X328,X329,X334,X335,X332,X333) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_162,plain,
! [X289,X290,X291,X292,X293,X294] :
( ~ para(X289,X290,X291,X292)
| eqangle(X289,X290,X293,X294,X291,X292,X293,X294) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
cnf(c_0_163,negated_conjecture,
cong(esk3_0,esk4_0,esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_164,negated_conjecture,
coll(esk3_0,esk4_0,esk4_0),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
fof(c_0_165,plain,
! [X283,X284,X285,X286,X287,X288] :
( ~ eqangle(X283,X284,X287,X288,X285,X286,X287,X288)
| para(X283,X284,X285,X286) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_166,plain,
( eqangle(X3,X4,X1,X2,X7,X8,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
cnf(c_0_167,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
cnf(c_0_168,negated_conjecture,
midp(esk3_0,esk4_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_163]),c_0_164])]) ).
cnf(c_0_169,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_165]) ).
cnf(c_0_170,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_171,negated_conjecture,
( para(esk4_0,X1,X1,esk4_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_137,c_0_168]) ).
fof(c_0_172,plain,
! [X153,X154,X155] :
( ~ para(X153,X154,X153,X155)
| coll(X153,X154,X155) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_173,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_174,negated_conjecture,
para(esk4_0,esk4_0,esk4_0,esk4_0),
inference(spm,[status(thm)],[c_0_171,c_0_168]) ).
cnf(c_0_175,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_176,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_177,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
fof(c_0_178,plain,
! [X394,X395,X396,X397] :
( ~ eqangle(X396,X394,X396,X395,X397,X394,X397,X395)
| ~ coll(X396,X397,X395)
| cyclic(X394,X395,X396,X397) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
cnf(c_0_179,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_44,c_0_177]) ).
cnf(c_0_180,plain,
( cyclic(X2,X3,X1,X4)
| ~ eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
| ~ coll(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_178]) ).
cnf(c_0_181,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_38,c_0_179]) ).
fof(c_0_182,plain,
! [X373,X374,X375,X376] :
( ~ cyclic(X373,X374,X375,X376)
| cyclic(X373,X375,X374,X376) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_183,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_180,c_0_167]) ).
cnf(c_0_184,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_181]),c_0_181])]) ).
fof(c_0_185,plain,
! [X208,X209,X210,X211,X212] :
( ~ circle(X211,X208,X209,X210)
| ~ coll(X212,X209,X210)
| ~ eqangle(X208,X209,X208,X210,X211,X209,X211,X212)
| midp(X212,X209,X210) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])]) ).
fof(c_0_186,plain,
! [X386,X387,X388,X389] :
( ~ cyclic(X386,X387,X388,X389)
| eqangle(X388,X386,X388,X387,X389,X386,X389,X387) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
fof(c_0_187,plain,
! [X369,X370,X371,X372] :
( ~ cyclic(X369,X370,X371,X372)
| cyclic(X369,X370,X372,X371) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_188,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_182]) ).
cnf(c_0_189,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_183,c_0_176])]),c_0_184])]) ).
cnf(c_0_190,plain,
( midp(X5,X3,X4)
| ~ circle(X1,X2,X3,X4)
| ~ coll(X5,X3,X4)
| ~ eqangle(X2,X3,X2,X4,X1,X3,X1,X5) ),
inference(split_conjunct,[status(thm)],[c_0_185]) ).
cnf(c_0_191,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
fof(c_0_192,plain,
! [X377,X378,X379,X380] :
( ~ cyclic(X377,X378,X379,X380)
| cyclic(X378,X377,X379,X380) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_193,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_194,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_188,c_0_189]) ).
fof(c_0_195,plain,
! [X145,X146,X147,X148,X149] :
( ~ midp(X148,X145,X146)
| ~ para(X148,X149,X146,X147)
| ~ coll(X149,X145,X147)
| midp(X149,X145,X147) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_196,plain,
( midp(X1,X2,X1)
| ~ cyclic(X2,X1,X3,X4)
| ~ circle(X4,X3,X2,X1)
| ~ coll(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_197,negated_conjecture,
circle(esk4_0,esk2_0,esk6_0,esk17_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_198,plain,
! [X381,X382,X383,X384,X385] :
( ~ cyclic(X381,X382,X383,X384)
| ~ cyclic(X381,X382,X383,X385)
| cyclic(X382,X383,X384,X385) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_199,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_192]) ).
cnf(c_0_200,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_201,plain,
( midp(X4,X2,X5)
| ~ midp(X1,X2,X3)
| ~ para(X1,X4,X3,X5)
| ~ coll(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_195]) ).
cnf(c_0_202,negated_conjecture,
( midp(esk17_0,esk6_0,esk17_0)
| ~ cyclic(esk6_0,esk17_0,esk2_0,esk4_0)
| ~ coll(esk17_0,esk6_0,esk17_0) ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_203,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_204,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_199,c_0_200]) ).
cnf(c_0_205,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_201,c_0_184])]) ).
cnf(c_0_206,negated_conjecture,
( midp(esk17_0,esk6_0,esk17_0)
| ~ cyclic(esk6_0,esk17_0,esk2_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_202,c_0_179])]) ).
cnf(c_0_207,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_204])]) ).
cnf(c_0_208,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_205,c_0_176]) ).
cnf(c_0_209,negated_conjecture,
midp(esk17_0,esk6_0,esk17_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_206,c_0_207])]) ).
fof(c_0_210,plain,
! [X295,X296,X297,X298,X299,X300,X301,X302] :
( ~ eqangle(X295,X296,X297,X298,X299,X300,X301,X302)
| ~ para(X299,X300,X301,X302)
| para(X295,X296,X297,X298) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_211,plain,
! [X317,X318,X319] :
( ~ cong(X319,X317,X319,X318)
| eqangle(X319,X317,X317,X318,X317,X318,X319,X318) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_212,negated_conjecture,
midp(X1,esk6_0,X1),
inference(spm,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_213,plain,
( para(X1,X2,X3,X4)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ para(X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_210]) ).
cnf(c_0_214,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_211]) ).
cnf(c_0_215,negated_conjecture,
midp(X1,X1,esk6_0),
inference(spm,[status(thm)],[c_0_93,c_0_212]) ).
cnf(c_0_216,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_213,c_0_214]) ).
cnf(c_0_217,negated_conjecture,
cong(X1,X1,X1,esk6_0),
inference(spm,[status(thm)],[c_0_92,c_0_215]) ).
cnf(c_0_218,negated_conjecture,
para(X1,X1,X1,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_176])]) ).
cnf(c_0_219,negated_conjecture,
( midp(X1,X2,esk6_0)
| ~ midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_205,c_0_218]) ).
cnf(c_0_220,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_176]),c_0_176])]) ).
cnf(c_0_221,negated_conjecture,
midp(X1,esk6_0,esk6_0),
inference(spm,[status(thm)],[c_0_219,c_0_212]) ).
cnf(c_0_222,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_220,c_0_221]) ).
cnf(c_0_223,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_208,c_0_222]) ).
fof(c_0_224,plain,
! [X244,X245,X246,X247,X248] :
( ~ midp(X247,X244,X245)
| ~ midp(X248,X244,X246)
| para(X247,X248,X245,X246) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_225,negated_conjecture,
midp(X1,X2,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_219,c_0_223])]) ).
cnf(c_0_226,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_224]) ).
cnf(c_0_227,negated_conjecture,
midp(X1,esk6_0,X2),
inference(spm,[status(thm)],[c_0_93,c_0_225]) ).
cnf(c_0_228,negated_conjecture,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_227])]) ).
cnf(c_0_229,plain,
( midp(X1,X2,X3)
| ~ midp(X1,X4,X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_228]),c_0_228])]) ).
fof(c_0_230,plain,
! [X303,X304,X305,X306] :
( ~ cong(X303,X304,X305,X306)
| cong(X303,X304,X306,X305) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_231,negated_conjecture,
midp(X1,X2,X3),
inference(spm,[status(thm)],[c_0_229,c_0_227]) ).
fof(c_0_232,plain,
! [X307,X308,X309,X310] :
( ~ cong(X307,X308,X309,X310)
| cong(X309,X310,X307,X308) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_233,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_230]) ).
cnf(c_0_234,plain,
cong(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_231])]) ).
cnf(c_0_235,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_232]) ).
cnf(c_0_236,plain,
cong(X1,X2,X3,X1),
inference(spm,[status(thm)],[c_0_233,c_0_234]) ).
fof(c_0_237,plain,
! [X72,X73,X74,X75] :
( ~ cong(X72,X74,X73,X74)
| ~ cong(X72,X75,X73,X75)
| perp(X72,X73,X74,X75) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).
cnf(c_0_238,plain,
cong(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_235,c_0_236]) ).
cnf(c_0_239,plain,
( perp(X1,X3,X2,X4)
| ~ cong(X1,X2,X3,X2)
| ~ cong(X1,X4,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_237]) ).
cnf(c_0_240,plain,
cong(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_233,c_0_238]) ).
cnf(c_0_241,negated_conjecture,
~ perp(esk8_0,esk9_0,esk1_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_242,plain,
perp(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_239,c_0_240]),c_0_240])]) ).
cnf(c_0_243,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_241,c_0_242])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO642+1 : TPTP v8.1.2. Released v7.5.0.
% 0.14/0.13 % Command : run_E %s %d THM
% 0.14/0.34 % Computer : n015.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 : 2400
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Oct 3 07:22:46 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order model finding
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.TlcddTK7Ll/E---3.1_1009.p
% 0.88/0.77 # Version: 3.1pre001
% 0.88/0.77 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.88/0.77 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.88/0.77 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.88/0.77 # Starting new_bool_3 with 300s (1) cores
% 0.88/0.77 # Starting new_bool_1 with 300s (1) cores
% 0.88/0.77 # Starting sh5l with 300s (1) cores
% 0.88/0.77 # new_bool_1 with pid 1113 completed with status 0
% 0.88/0.77 # Result found by new_bool_1
% 0.88/0.77 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.88/0.77 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.88/0.77 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.88/0.77 # Starting new_bool_3 with 300s (1) cores
% 0.88/0.77 # Starting new_bool_1 with 300s (1) cores
% 0.88/0.77 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.88/0.77 # Search class: FGUSF-FFLM33-SFFFFFNN
% 0.88/0.77 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 0.88/0.77 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.88/0.77 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.88/0.77 # SAT001_MinMin_p005000_rr_RG with pid 1116 completed with status 0
% 0.88/0.77 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.88/0.77 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.88/0.77 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.88/0.77 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.88/0.77 # Starting new_bool_3 with 300s (1) cores
% 0.88/0.77 # Starting new_bool_1 with 300s (1) cores
% 0.88/0.77 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.88/0.77 # Search class: FGUSF-FFLM33-SFFFFFNN
% 0.88/0.77 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 0.88/0.77 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.88/0.77 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.88/0.77 # Preprocessing time : 0.004 s
% 0.88/0.77 # Presaturation interreduction done
% 0.88/0.77
% 0.88/0.77 # Proof found!
% 0.88/0.77 # SZS status Theorem
% 0.88/0.77 # SZS output start CNFRefutation
% See solution above
% 0.88/0.77 # Parsed axioms : 95
% 0.88/0.77 # Removed by relevancy pruning/SinE : 21
% 0.88/0.77 # Initial clauses : 106
% 0.88/0.77 # Removed in clause preprocessing : 0
% 0.88/0.77 # Initial clauses in saturation : 106
% 0.88/0.77 # Processed clauses : 2979
% 0.88/0.77 # ...of these trivial : 362
% 0.88/0.77 # ...subsumed : 219
% 0.88/0.77 # ...remaining for further processing : 2398
% 0.88/0.77 # Other redundant clauses eliminated : 0
% 0.88/0.77 # Clauses deleted for lack of memory : 0
% 0.88/0.77 # Backward-subsumed : 28
% 0.88/0.77 # Backward-rewritten : 2241
% 0.88/0.77 # Generated clauses : 18563
% 0.88/0.77 # ...of the previous two non-redundant : 9292
% 0.88/0.77 # ...aggressively subsumed : 0
% 0.88/0.77 # Contextual simplify-reflections : 9
% 0.88/0.77 # Paramodulations : 18563
% 0.88/0.77 # Factorizations : 0
% 0.88/0.77 # NegExts : 0
% 0.88/0.77 # Equation resolutions : 0
% 0.88/0.77 # Total rewrite steps : 13046
% 0.88/0.77 # Propositional unsat checks : 0
% 0.88/0.77 # Propositional check models : 0
% 0.88/0.77 # Propositional check unsatisfiable : 0
% 0.88/0.77 # Propositional clauses : 0
% 0.88/0.77 # Propositional clauses after purity: 0
% 0.88/0.77 # Propositional unsat core size : 0
% 0.88/0.77 # Propositional preprocessing time : 0.000
% 0.88/0.77 # Propositional encoding time : 0.000
% 0.88/0.77 # Propositional solver time : 0.000
% 0.88/0.77 # Success case prop preproc time : 0.000
% 0.88/0.77 # Success case prop encoding time : 0.000
% 0.88/0.77 # Success case prop solver time : 0.000
% 0.88/0.77 # Current number of processed clauses : 24
% 0.88/0.77 # Positive orientable unit clauses : 13
% 0.88/0.77 # Positive unorientable unit clauses: 0
% 0.88/0.77 # Negative unit clauses : 0
% 0.88/0.77 # Non-unit-clauses : 11
% 0.88/0.77 # Current number of unprocessed clauses: 6335
% 0.88/0.77 # ...number of literals in the above : 20740
% 0.88/0.77 # Current number of archived formulas : 0
% 0.88/0.77 # Current number of archived clauses : 2374
% 0.88/0.77 # Clause-clause subsumption calls (NU) : 171211
% 0.88/0.77 # Rec. Clause-clause subsumption calls : 160889
% 0.88/0.77 # Non-unit clause-clause subsumptions : 254
% 0.88/0.77 # Unit Clause-clause subsumption calls : 51482
% 0.88/0.77 # Rewrite failures with RHS unbound : 0
% 0.88/0.77 # BW rewrite match attempts : 10727
% 0.88/0.77 # BW rewrite match successes : 1534
% 0.88/0.77 # Condensation attempts : 0
% 0.88/0.77 # Condensation successes : 0
% 0.88/0.77 # Termbank termtop insertions : 189073
% 0.88/0.77
% 0.88/0.77 # -------------------------------------------------
% 0.88/0.77 # User time : 0.256 s
% 0.88/0.77 # System time : 0.012 s
% 0.88/0.77 # Total time : 0.269 s
% 0.88/0.77 # Maximum resident set size: 2376 pages
% 0.88/0.77
% 0.88/0.77 # -------------------------------------------------
% 0.88/0.77 # User time : 0.261 s
% 0.88/0.77 # System time : 0.014 s
% 0.88/0.77 # Total time : 0.274 s
% 0.88/0.77 # Maximum resident set size: 1872 pages
% 0.88/0.77 % E---3.1 exiting
%------------------------------------------------------------------------------