TSTP Solution File: GEO590+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GEO590+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n032.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 17:33:06 EDT 2023
% Result : Theorem 1.42s 0.68s
% Output : CNFRefutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 30
% Syntax : Number of formulae : 246 ( 116 unt; 0 def)
% Number of atoms : 456 ( 0 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 356 ( 146 ~; 143 |; 36 &)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-6 aty)
% Number of variables : 553 ( 40 sgn; 280 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL416052,conjecture,
! [X3,X4,X5,X8,X1,X6] :
( ( perp(X5,X3,X5,X4)
& midp(X8,X4,X3)
& perp(X3,X4,X3,X1)
& perp(X5,X8,X5,X1)
& coll(X6,X3,X1)
& coll(X6,X4,X5) )
=> cong(X1,X5,X1,X6) ),
file('/export/starexec/sandbox/tmp/tmp.fkPIwXMqnp/E---3.1_3255.p',exemplo6GDDFULL416052) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/tmp/tmp.fkPIwXMqnp/E---3.1_3255.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.fkPIwXMqnp/E---3.1_3255.p',ruleD3) ).
fof(ruleD69,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.fkPIwXMqnp/E---3.1_3255.p',ruleD69) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.fkPIwXMqnp/E---3.1_3255.p',ruleD2) ).
fof(ruleD7,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.fkPIwXMqnp/E---3.1_3255.p',ruleD7) ).
fof(ruleD8,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.fkPIwXMqnp/E---3.1_3255.p',ruleD8) ).
fof(ruleD52,axiom,
! [X1,X2,X3,X7] :
( ( perp(X1,X2,X2,X3)
& midp(X7,X1,X3) )
=> cong(X1,X7,X2,X7) ),
file('/export/starexec/sandbox/tmp/tmp.fkPIwXMqnp/E---3.1_3255.p',ruleD52) ).
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.fkPIwXMqnp/E---3.1_3255.p',ruleD25) ).
fof(ruleD24,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.fkPIwXMqnp/E---3.1_3255.p',ruleD24) ).
fof(ruleD23,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.fkPIwXMqnp/E---3.1_3255.p',ruleD23) ).
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.fkPIwXMqnp/E---3.1_3255.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.fkPIwXMqnp/E---3.1_3255.p',ruleX6) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.fkPIwXMqnp/E---3.1_3255.p',ruleD11) ).
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.fkPIwXMqnp/E---3.1_3255.p',ruleD67) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.fkPIwXMqnp/E---3.1_3255.p',ruleD4) ).
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.fkPIwXMqnp/E---3.1_3255.p',ruleD64) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.fkPIwXMqnp/E---3.1_3255.p',ruleD68) ).
fof(ruleD75,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( eqratio(X1,X2,X3,X4,X9,X10,X11,X12)
& cong(X9,X10,X11,X12) )
=> cong(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.fkPIwXMqnp/E---3.1_3255.p',ruleD75) ).
fof(ruleD70,axiom,
! [X1,X2,X3,X4,X7,X17] :
( ( midp(X7,X1,X2)
& midp(X17,X3,X4) )
=> eqratio(X7,X1,X1,X2,X17,X3,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.fkPIwXMqnp/E---3.1_3255.p',ruleD70) ).
fof(ruleD55,axiom,
! [X1,X2,X7,X8] :
( ( midp(X7,X1,X2)
& perp(X8,X7,X1,X2) )
=> cong(X8,X1,X8,X2) ),
file('/export/starexec/sandbox/tmp/tmp.fkPIwXMqnp/E---3.1_3255.p',ruleD55) ).
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.fkPIwXMqnp/E---3.1_3255.p',ruleD56) ).
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.fkPIwXMqnp/E---3.1_3255.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.fkPIwXMqnp/E---3.1_3255.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.fkPIwXMqnp/E---3.1_3255.p',ruleD39) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.fkPIwXMqnp/E---3.1_3255.p',ruleD66) ).
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.fkPIwXMqnp/E---3.1_3255.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.fkPIwXMqnp/E---3.1_3255.p',ruleD46) ).
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.fkPIwXMqnp/E---3.1_3255.p',ruleD45) ).
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.fkPIwXMqnp/E---3.1_3255.p',ruleD44) ).
fof(c_0_30,negated_conjecture,
~ ! [X3,X4,X5,X8,X1,X6] :
( ( perp(X5,X3,X5,X4)
& midp(X8,X4,X3)
& perp(X3,X4,X3,X1)
& perp(X5,X8,X5,X1)
& coll(X6,X3,X1)
& coll(X6,X4,X5) )
=> cong(X1,X5,X1,X6) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL416052]) ).
fof(c_0_31,plain,
! [X130,X131,X132] :
( ~ coll(X130,X131,X132)
| coll(X130,X132,X131) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
fof(c_0_32,negated_conjecture,
( perp(esk3_0,esk1_0,esk3_0,esk2_0)
& midp(esk4_0,esk2_0,esk1_0)
& perp(esk1_0,esk2_0,esk1_0,esk5_0)
& perp(esk3_0,esk4_0,esk3_0,esk5_0)
& coll(esk6_0,esk1_0,esk5_0)
& coll(esk6_0,esk2_0,esk3_0)
& ~ cong(esk5_0,esk3_0,esk5_0,esk6_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])]) ).
fof(c_0_33,plain,
! [X136,X137,X138,X139] :
( ~ coll(X136,X137,X138)
| ~ coll(X136,X137,X139)
| coll(X138,X139,X136) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_34,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_35,negated_conjecture,
coll(esk6_0,esk1_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_36,plain,
! [X176,X177,X178] :
( ~ midp(X176,X177,X178)
| coll(X176,X177,X178) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).
cnf(c_0_37,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_38,negated_conjecture,
coll(esk6_0,esk5_0,esk1_0),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_40,negated_conjecture,
midp(esk4_0,esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_41,negated_conjecture,
( coll(X1,esk1_0,esk6_0)
| ~ coll(esk6_0,esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,negated_conjecture,
coll(esk4_0,esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_43,plain,
! [X133,X134,X135] :
( ~ coll(X133,X134,X135)
| coll(X134,X133,X135) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_44,negated_conjecture,
coll(esk1_0,esk1_0,esk6_0),
inference(spm,[status(thm)],[c_0_41,c_0_38]) ).
cnf(c_0_45,negated_conjecture,
( coll(X1,esk1_0,esk4_0)
| ~ coll(esk4_0,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_42]) ).
fof(c_0_46,plain,
! [X229,X230,X231,X232] :
( ~ perp(X229,X230,X231,X232)
| perp(X229,X230,X232,X231) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])]) ).
cnf(c_0_47,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_48,negated_conjecture,
( coll(X1,esk6_0,esk1_0)
| ~ coll(esk1_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_44]) ).
cnf(c_0_49,negated_conjecture,
coll(esk1_0,esk1_0,esk4_0),
inference(spm,[status(thm)],[c_0_45,c_0_42]) ).
fof(c_0_50,plain,
! [X233,X234,X235,X236] :
( ~ perp(X233,X234,X235,X236)
| perp(X235,X236,X233,X234) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
cnf(c_0_51,plain,
( perp(X1,X2,X4,X3)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_52,negated_conjecture,
perp(esk3_0,esk1_0,esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_53,negated_conjecture,
coll(esk2_0,esk4_0,esk1_0),
inference(spm,[status(thm)],[c_0_47,c_0_42]) ).
cnf(c_0_54,negated_conjecture,
coll(esk4_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_34,c_0_42]) ).
cnf(c_0_55,negated_conjecture,
coll(esk4_0,esk6_0,esk1_0),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
fof(c_0_56,plain,
! [X60,X61,X62,X63] :
( ~ perp(X60,X61,X61,X62)
| ~ midp(X63,X60,X62)
| cong(X60,X63,X61,X63) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD52])]) ).
cnf(c_0_57,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_58,negated_conjecture,
perp(esk3_0,esk1_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_59,negated_conjecture,
coll(esk2_0,esk1_0,esk4_0),
inference(spm,[status(thm)],[c_0_34,c_0_53]) ).
cnf(c_0_60,negated_conjecture,
coll(esk6_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_61,negated_conjecture,
( coll(X1,esk2_0,esk4_0)
| ~ coll(esk4_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_54]) ).
cnf(c_0_62,negated_conjecture,
coll(esk4_0,esk1_0,esk6_0),
inference(spm,[status(thm)],[c_0_34,c_0_55]) ).
cnf(c_0_63,plain,
( cong(X1,X4,X2,X4)
| ~ perp(X1,X2,X2,X3)
| ~ midp(X4,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_64,negated_conjecture,
perp(esk2_0,esk3_0,esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_65,negated_conjecture,
( coll(X1,esk4_0,esk2_0)
| ~ coll(esk2_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_59]) ).
cnf(c_0_66,negated_conjecture,
coll(esk2_0,esk6_0,esk3_0),
inference(spm,[status(thm)],[c_0_47,c_0_60]) ).
cnf(c_0_67,negated_conjecture,
coll(esk6_0,esk2_0,esk4_0),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
fof(c_0_68,plain,
! [X42,X43,X44,X45,X46,X47] :
( ~ cong(X42,X43,X44,X45)
| ~ cong(X44,X45,X46,X47)
| cong(X42,X43,X46,X47) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).
cnf(c_0_69,negated_conjecture,
( cong(esk2_0,X1,esk3_0,X1)
| ~ midp(X1,esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
fof(c_0_70,plain,
! [X38,X39,X40,X41] :
( ~ cong(X38,X39,X40,X41)
| cong(X40,X41,X38,X39) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_71,negated_conjecture,
coll(esk4_0,esk4_0,esk2_0),
inference(spm,[status(thm)],[c_0_65,c_0_59]) ).
cnf(c_0_72,negated_conjecture,
( coll(X1,esk3_0,esk2_0)
| ~ coll(esk2_0,esk6_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_66]) ).
cnf(c_0_73,negated_conjecture,
coll(esk2_0,esk6_0,esk4_0),
inference(spm,[status(thm)],[c_0_47,c_0_67]) ).
fof(c_0_74,plain,
! [X34,X35,X36,X37] :
( ~ cong(X34,X35,X36,X37)
| cong(X34,X35,X37,X36) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
fof(c_0_75,plain,
! [X304,X305,X306,X307,X308] :
( ~ midp(X308,X304,X305)
| ~ midp(X308,X306,X307)
| para(X304,X306,X305,X307) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).
fof(c_0_76,plain,
! [X320,X321,X322,X323,X324,X325] :
( ( midp(esk25_6(X320,X321,X322,X323,X324,X325),X320,X323)
| ~ midp(X324,X320,X321)
| ~ midp(X325,X322,X323) )
& ( para(esk25_6(X320,X321,X322,X323,X324,X325),X324,X321,X323)
| ~ midp(X324,X320,X321)
| ~ midp(X325,X322,X323) )
& ( para(esk25_6(X320,X321,X322,X323,X324,X325),X325,X320,X322)
| ~ midp(X324,X320,X321)
| ~ midp(X325,X322,X323) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX6])])])])]) ).
fof(c_0_77,plain,
! [X291,X292,X293] :
( ~ midp(X293,X292,X291)
| midp(X293,X291,X292) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_78,plain,
( cong(X1,X2,X5,X6)
| ~ cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_79,negated_conjecture,
cong(esk2_0,esk4_0,esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_69,c_0_40]) ).
cnf(c_0_80,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_81,negated_conjecture,
coll(esk4_0,esk2_0,esk4_0),
inference(spm,[status(thm)],[c_0_34,c_0_71]) ).
cnf(c_0_82,negated_conjecture,
coll(esk4_0,esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_83,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_84,plain,
( para(X2,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_85,plain,
( midp(esk25_6(X1,X2,X3,X4,X5,X6),X1,X4)
| ~ midp(X5,X1,X2)
| ~ midp(X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_86,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
fof(c_0_87,plain,
! [X88,X89,X90] :
( ~ cong(X88,X89,X88,X90)
| ~ coll(X88,X89,X90)
| midp(X88,X89,X90) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_88,negated_conjecture,
( cong(X1,X2,esk3_0,esk4_0)
| ~ cong(X1,X2,esk2_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_89,negated_conjecture,
cong(esk3_0,esk4_0,esk2_0,esk4_0),
inference(spm,[status(thm)],[c_0_80,c_0_79]) ).
cnf(c_0_90,negated_conjecture,
( coll(X1,esk4_0,esk4_0)
| ~ coll(esk4_0,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_81]) ).
cnf(c_0_91,negated_conjecture,
coll(esk4_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_34,c_0_82]) ).
cnf(c_0_92,negated_conjecture,
cong(esk2_0,esk4_0,esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_83,c_0_79]) ).
cnf(c_0_93,plain,
( para(X1,X2,X3,X4)
| ~ midp(esk25_6(X2,X5,X6,X4,X7,X8),X1,X3)
| ~ midp(X8,X6,X4)
| ~ midp(X7,X2,X5) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_94,plain,
( midp(esk25_6(X1,X2,X3,X4,X5,X6),X4,X1)
| ~ midp(X6,X3,X4)
| ~ midp(X5,X1,X2) ),
inference(spm,[status(thm)],[c_0_86,c_0_85]) ).
cnf(c_0_95,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_96,negated_conjecture,
cong(esk3_0,esk4_0,esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_97,negated_conjecture,
coll(esk3_0,esk4_0,esk4_0),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_98,negated_conjecture,
cong(esk4_0,esk3_0,esk2_0,esk4_0),
inference(spm,[status(thm)],[c_0_80,c_0_92]) ).
cnf(c_0_99,plain,
( para(X1,X2,X2,X1)
| ~ midp(X3,X4,X1)
| ~ midp(X5,X2,X6) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_100,negated_conjecture,
midp(esk3_0,esk4_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97])]) ).
cnf(c_0_101,negated_conjecture,
cong(esk4_0,esk3_0,esk4_0,esk2_0),
inference(spm,[status(thm)],[c_0_83,c_0_98]) ).
fof(c_0_102,plain,
! [X532,X533,X534,X535] :
( ~ para(X532,X533,X534,X535)
| para(X532,X533,X535,X534) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_103,negated_conjecture,
( para(esk4_0,X1,X1,esk4_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_104,negated_conjecture,
midp(esk4_0,esk3_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_101]),c_0_82])]) ).
fof(c_0_105,plain,
! [X309,X310,X311,X312,X313] :
( ~ midp(X313,X309,X310)
| ~ para(X309,X311,X310,X312)
| ~ para(X309,X312,X310,X311)
| midp(X313,X311,X312) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_106,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_107,negated_conjecture,
para(esk4_0,esk3_0,esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_108,negated_conjecture,
( coll(X1,esk3_0,esk6_0)
| ~ coll(esk6_0,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_60]) ).
cnf(c_0_109,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_105]) ).
cnf(c_0_110,negated_conjecture,
para(esk4_0,esk3_0,esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_111,negated_conjecture,
coll(esk3_0,esk3_0,esk6_0),
inference(spm,[status(thm)],[c_0_108,c_0_60]) ).
cnf(c_0_112,negated_conjecture,
coll(esk4_0,esk3_0,esk6_0),
inference(spm,[status(thm)],[c_0_108,c_0_67]) ).
fof(c_0_113,plain,
! [X91,X92,X93] :
( ~ midp(X91,X92,X93)
| cong(X91,X92,X91,X93) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
fof(c_0_114,plain,
! [X94,X95,X96,X97,X98,X99,X100,X101] :
( ~ eqratio(X94,X95,X96,X97,X98,X99,X100,X101)
| ~ cong(X98,X99,X100,X101)
| cong(X94,X95,X96,X97) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).
fof(c_0_115,plain,
! [X314,X315,X316,X317,X318,X319] :
( ~ midp(X318,X314,X315)
| ~ midp(X319,X316,X317)
| eqratio(X318,X314,X314,X315,X319,X316,X316,X317) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).
cnf(c_0_116,negated_conjecture,
( midp(X1,esk3_0,esk3_0)
| ~ midp(X1,esk4_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_110])]) ).
cnf(c_0_117,negated_conjecture,
coll(esk3_0,esk6_0,esk3_0),
inference(spm,[status(thm)],[c_0_34,c_0_111]) ).
cnf(c_0_118,negated_conjecture,
coll(esk3_0,esk4_0,esk6_0),
inference(spm,[status(thm)],[c_0_47,c_0_112]) ).
cnf(c_0_119,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_120,negated_conjecture,
midp(esk4_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_86,c_0_40]) ).
cnf(c_0_121,plain,
( cong(X1,X2,X3,X4)
| ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ cong(X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_122,plain,
( eqratio(X1,X2,X2,X3,X4,X5,X5,X6)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_123,negated_conjecture,
midp(esk3_0,esk3_0,esk3_0),
inference(spm,[status(thm)],[c_0_116,c_0_100]) ).
cnf(c_0_124,negated_conjecture,
cong(esk4_0,esk3_0,esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_88,c_0_98]) ).
cnf(c_0_125,negated_conjecture,
( coll(X1,esk3_0,esk3_0)
| ~ coll(esk3_0,esk6_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_117]) ).
cnf(c_0_126,negated_conjecture,
coll(esk3_0,esk6_0,esk4_0),
inference(spm,[status(thm)],[c_0_34,c_0_118]) ).
cnf(c_0_127,negated_conjecture,
cong(esk4_0,esk1_0,esk4_0,esk2_0),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_128,plain,
( cong(X1,X2,X2,X3)
| ~ cong(X4,X5,X5,X6)
| ~ midp(X4,X5,X6)
| ~ midp(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_129,negated_conjecture,
cong(esk3_0,esk3_0,esk3_0,esk3_0),
inference(spm,[status(thm)],[c_0_119,c_0_123]) ).
cnf(c_0_130,negated_conjecture,
cong(esk4_0,esk3_0,esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_83,c_0_124]) ).
cnf(c_0_131,negated_conjecture,
coll(esk4_0,esk3_0,esk3_0),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_132,negated_conjecture,
( para(esk2_0,X1,X1,esk2_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_99,c_0_104]) ).
cnf(c_0_133,negated_conjecture,
cong(esk4_0,esk1_0,esk2_0,esk4_0),
inference(spm,[status(thm)],[c_0_83,c_0_127]) ).
cnf(c_0_134,negated_conjecture,
( cong(X1,X2,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_123])]) ).
cnf(c_0_135,negated_conjecture,
midp(esk4_0,esk3_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_130]),c_0_131])]) ).
cnf(c_0_136,negated_conjecture,
( coll(X1,esk1_0,esk2_0)
| ~ coll(esk2_0,esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_53]) ).
cnf(c_0_137,negated_conjecture,
para(esk2_0,esk4_0,esk4_0,esk2_0),
inference(spm,[status(thm)],[c_0_132,c_0_100]) ).
cnf(c_0_138,negated_conjecture,
( cong(X1,X2,esk2_0,esk4_0)
| ~ cong(X1,X2,esk4_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_78,c_0_133]) ).
cnf(c_0_139,negated_conjecture,
cong(esk4_0,esk2_0,esk4_0,esk1_0),
inference(spm,[status(thm)],[c_0_119,c_0_40]) ).
cnf(c_0_140,negated_conjecture,
coll(esk2_0,esk2_0,esk4_0),
inference(spm,[status(thm)],[c_0_61,c_0_54]) ).
cnf(c_0_141,negated_conjecture,
perp(esk3_0,esk4_0,esk3_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_142,negated_conjecture,
cong(esk4_0,esk3_0,esk3_0,esk3_0),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_143,negated_conjecture,
coll(esk6_0,esk4_0,esk1_0),
inference(spm,[status(thm)],[c_0_47,c_0_55]) ).
cnf(c_0_144,negated_conjecture,
coll(esk1_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_136,c_0_53]) ).
cnf(c_0_145,negated_conjecture,
para(esk2_0,esk4_0,esk2_0,esk4_0),
inference(spm,[status(thm)],[c_0_106,c_0_137]) ).
cnf(c_0_146,negated_conjecture,
cong(esk4_0,esk2_0,esk2_0,esk4_0),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_147,negated_conjecture,
coll(esk2_0,esk4_0,esk2_0),
inference(spm,[status(thm)],[c_0_34,c_0_140]) ).
fof(c_0_148,plain,
! [X64,X65,X66,X67] :
( ~ midp(X66,X64,X65)
| ~ perp(X67,X66,X64,X65)
| cong(X67,X64,X67,X65) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD55])]) ).
cnf(c_0_149,negated_conjecture,
perp(esk3_0,esk4_0,esk5_0,esk3_0),
inference(spm,[status(thm)],[c_0_51,c_0_141]) ).
cnf(c_0_150,negated_conjecture,
cong(esk3_0,esk3_0,esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_80,c_0_142]) ).
cnf(c_0_151,negated_conjecture,
coll(esk3_0,esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_47,c_0_131]) ).
cnf(c_0_152,negated_conjecture,
( coll(X1,esk5_0,esk6_0)
| ~ coll(esk6_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_35]) ).
cnf(c_0_153,negated_conjecture,
coll(esk6_0,esk1_0,esk4_0),
inference(spm,[status(thm)],[c_0_34,c_0_143]) ).
cnf(c_0_154,negated_conjecture,
coll(esk2_0,esk6_0,esk1_0),
inference(spm,[status(thm)],[c_0_48,c_0_144]) ).
fof(c_0_155,plain,
! [X68,X69,X70,X71] :
( ~ cong(X68,X70,X69,X70)
| ~ cong(X68,X71,X69,X71)
| perp(X68,X69,X70,X71) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).
cnf(c_0_156,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_109,c_0_145]),c_0_145])]) ).
cnf(c_0_157,negated_conjecture,
cong(esk4_0,esk2_0,esk4_0,esk2_0),
inference(spm,[status(thm)],[c_0_83,c_0_146]) ).
cnf(c_0_158,negated_conjecture,
coll(esk4_0,esk2_0,esk2_0),
inference(spm,[status(thm)],[c_0_47,c_0_147]) ).
cnf(c_0_159,plain,
( cong(X4,X2,X4,X3)
| ~ midp(X1,X2,X3)
| ~ perp(X4,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_148]) ).
cnf(c_0_160,negated_conjecture,
perp(esk5_0,esk3_0,esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_57,c_0_149]) ).
cnf(c_0_161,negated_conjecture,
cong(esk3_0,esk3_0,esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_83,c_0_150]) ).
cnf(c_0_162,negated_conjecture,
coll(esk3_0,esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_34,c_0_151]) ).
cnf(c_0_163,negated_conjecture,
coll(esk4_0,esk6_0,esk3_0),
inference(spm,[status(thm)],[c_0_34,c_0_112]) ).
cnf(c_0_164,negated_conjecture,
coll(esk4_0,esk5_0,esk6_0),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_165,negated_conjecture,
coll(esk2_0,esk1_0,esk6_0),
inference(spm,[status(thm)],[c_0_34,c_0_154]) ).
cnf(c_0_166,plain,
( perp(X1,X3,X2,X4)
| ~ cong(X1,X2,X3,X2)
| ~ cong(X1,X4,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
cnf(c_0_167,negated_conjecture,
( cong(X1,esk4_0,X1,esk4_0)
| ~ midp(X1,esk2_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_119,c_0_156]) ).
cnf(c_0_168,negated_conjecture,
midp(esk4_0,esk2_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_157]),c_0_158])]) ).
cnf(c_0_169,negated_conjecture,
( cong(esk5_0,esk3_0,esk5_0,esk4_0)
| ~ midp(esk3_0,esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_170,negated_conjecture,
midp(esk3_0,esk3_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_161]),c_0_162])]) ).
cnf(c_0_171,negated_conjecture,
( coll(X1,esk3_0,esk4_0)
| ~ coll(esk4_0,esk6_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_163]) ).
cnf(c_0_172,negated_conjecture,
coll(esk4_0,esk6_0,esk5_0),
inference(spm,[status(thm)],[c_0_34,c_0_164]) ).
cnf(c_0_173,negated_conjecture,
coll(esk1_0,esk6_0,esk5_0),
inference(spm,[status(thm)],[c_0_47,c_0_35]) ).
cnf(c_0_174,negated_conjecture,
coll(esk1_0,esk2_0,esk6_0),
inference(spm,[status(thm)],[c_0_47,c_0_165]) ).
cnf(c_0_175,negated_conjecture,
( perp(esk4_0,esk4_0,X1,esk3_0)
| ~ cong(esk4_0,X1,esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_166,c_0_130]) ).
cnf(c_0_176,negated_conjecture,
cong(esk4_0,esk4_0,esk4_0,esk4_0),
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_177,negated_conjecture,
cong(esk5_0,esk3_0,esk5_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_170])]) ).
cnf(c_0_178,negated_conjecture,
coll(esk5_0,esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_179,negated_conjecture,
( coll(X1,esk5_0,esk1_0)
| ~ coll(esk1_0,esk6_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_173]) ).
cnf(c_0_180,negated_conjecture,
coll(esk1_0,esk6_0,esk2_0),
inference(spm,[status(thm)],[c_0_34,c_0_174]) ).
cnf(c_0_181,negated_conjecture,
perp(esk4_0,esk4_0,esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_182,negated_conjecture,
midp(esk5_0,esk3_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_177]),c_0_178])]) ).
cnf(c_0_183,negated_conjecture,
coll(esk2_0,esk5_0,esk1_0),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
fof(c_0_184,plain,
! [X366,X367,X368,X369,X370,X371,X372,X373] :
( ~ eqangle(X366,X367,X368,X369,X370,X371,X372,X373)
| eqangle(X368,X369,X366,X367,X372,X373,X370,X371) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_185,plain,
! [X408,X409,X410,X411,X412,X413] :
( ~ para(X408,X409,X410,X411)
| eqangle(X408,X409,X412,X413,X410,X411,X412,X413) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
cnf(c_0_186,negated_conjecture,
( cong(esk4_0,X1,esk4_0,X1)
| ~ midp(X1,esk4_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_63,c_0_181]) ).
cnf(c_0_187,negated_conjecture,
midp(esk5_0,esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_86,c_0_182]) ).
cnf(c_0_188,negated_conjecture,
coll(esk2_0,esk1_0,esk5_0),
inference(spm,[status(thm)],[c_0_34,c_0_183]) ).
fof(c_0_189,plain,
! [X402,X403,X404,X405,X406,X407] :
( ~ eqangle(X402,X403,X406,X407,X404,X405,X406,X407)
| para(X402,X403,X404,X405) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_190,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_184]) ).
cnf(c_0_191,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_185]) ).
cnf(c_0_192,plain,
( para(X1,X1,X2,X2)
| ~ midp(X3,X4,X2)
| ~ midp(X5,X1,X6) ),
inference(spm,[status(thm)],[c_0_93,c_0_85]) ).
cnf(c_0_193,negated_conjecture,
cong(esk4_0,esk5_0,esk4_0,esk5_0),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_194,negated_conjecture,
coll(esk5_0,esk4_0,esk2_0),
inference(spm,[status(thm)],[c_0_65,c_0_188]) ).
cnf(c_0_195,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_189]) ).
cnf(c_0_196,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_197,negated_conjecture,
( para(X1,X1,esk4_0,esk4_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_192,c_0_100]) ).
cnf(c_0_198,negated_conjecture,
cong(esk4_0,esk5_0,esk5_0,esk4_0),
inference(spm,[status(thm)],[c_0_83,c_0_193]) ).
cnf(c_0_199,negated_conjecture,
coll(esk4_0,esk5_0,esk2_0),
inference(spm,[status(thm)],[c_0_47,c_0_194]) ).
cnf(c_0_200,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_201,negated_conjecture,
para(esk4_0,esk4_0,esk4_0,esk4_0),
inference(spm,[status(thm)],[c_0_197,c_0_100]) ).
cnf(c_0_202,negated_conjecture,
cong(esk5_0,esk4_0,esk4_0,esk5_0),
inference(spm,[status(thm)],[c_0_80,c_0_198]) ).
cnf(c_0_203,negated_conjecture,
coll(esk4_0,esk2_0,esk5_0),
inference(spm,[status(thm)],[c_0_34,c_0_199]) ).
fof(c_0_204,plain,
! [X173,X174,X175] :
( ~ para(X173,X174,X173,X175)
| coll(X173,X174,X175) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_205,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_200,c_0_201]) ).
cnf(c_0_206,negated_conjecture,
cong(esk5_0,esk4_0,esk5_0,esk4_0),
inference(spm,[status(thm)],[c_0_83,c_0_202]) ).
cnf(c_0_207,negated_conjecture,
coll(esk5_0,esk4_0,esk4_0),
inference(spm,[status(thm)],[c_0_90,c_0_203]) ).
cnf(c_0_208,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_204]) ).
cnf(c_0_209,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_205]),c_0_205])]) ).
cnf(c_0_210,negated_conjecture,
midp(esk5_0,esk4_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_206]),c_0_207])]) ).
cnf(c_0_211,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_208,c_0_205]) ).
cnf(c_0_212,negated_conjecture,
midp(esk5_0,X1,X1),
inference(spm,[status(thm)],[c_0_209,c_0_210]) ).
cnf(c_0_213,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_47,c_0_211]) ).
fof(c_0_214,plain,
! [X420,X421,X422,X423,X424,X425,X426,X427] :
( ~ eqangle(X420,X421,X422,X423,X424,X425,X426,X427)
| ~ para(X424,X425,X426,X427)
| para(X420,X421,X422,X423) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_215,plain,
! [X54,X55,X56] :
( ~ cong(X56,X54,X56,X55)
| eqangle(X56,X54,X54,X55,X54,X55,X56,X55) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_216,negated_conjecture,
cong(esk5_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_134,c_0_212]) ).
cnf(c_0_217,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_34,c_0_213]) ).
fof(c_0_218,plain,
! [X148,X149,X150,X151,X152] :
( ~ midp(X151,X148,X149)
| ~ para(X151,X152,X149,X150)
| ~ coll(X152,X148,X150)
| midp(X152,X148,X150) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_219,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_214]) ).
cnf(c_0_220,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_215]) ).
cnf(c_0_221,negated_conjecture,
cong(X1,X1,esk5_0,X1),
inference(spm,[status(thm)],[c_0_80,c_0_216]) ).
cnf(c_0_222,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_217]),c_0_217])]) ).
cnf(c_0_223,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_218]) ).
cnf(c_0_224,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_219,c_0_220]) ).
cnf(c_0_225,negated_conjecture,
cong(X1,X1,X1,esk5_0),
inference(spm,[status(thm)],[c_0_83,c_0_221]) ).
cnf(c_0_226,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_222])]) ).
cnf(c_0_227,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_222])]) ).
cnf(c_0_228,negated_conjecture,
para(X1,X1,X1,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_205])]) ).
cnf(c_0_229,negated_conjecture,
midp(X1,X1,esk5_0),
inference(spm,[status(thm)],[c_0_226,c_0_225]) ).
cnf(c_0_230,negated_conjecture,
( midp(X1,X2,esk5_0)
| ~ midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_227,c_0_228]) ).
cnf(c_0_231,negated_conjecture,
midp(X1,esk5_0,X1),
inference(spm,[status(thm)],[c_0_86,c_0_229]) ).
cnf(c_0_232,negated_conjecture,
midp(X1,esk5_0,esk5_0),
inference(spm,[status(thm)],[c_0_230,c_0_231]) ).
cnf(c_0_233,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_227,c_0_205]) ).
cnf(c_0_234,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_209,c_0_232]) ).
cnf(c_0_235,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_233,c_0_234]) ).
fof(c_0_236,plain,
! [X294,X295,X296,X297,X298] :
( ~ midp(X297,X294,X295)
| ~ midp(X298,X294,X296)
| para(X297,X298,X295,X296) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_237,negated_conjecture,
midp(X1,X2,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_230,c_0_235])]) ).
cnf(c_0_238,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_236]) ).
cnf(c_0_239,negated_conjecture,
midp(X1,esk5_0,X2),
inference(spm,[status(thm)],[c_0_86,c_0_237]) ).
cnf(c_0_240,negated_conjecture,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_239])]) ).
cnf(c_0_241,plain,
( midp(X1,X2,X3)
| ~ midp(X1,X4,X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_240]),c_0_240])]) ).
cnf(c_0_242,negated_conjecture,
midp(X1,X2,X3),
inference(spm,[status(thm)],[c_0_241,c_0_239]) ).
cnf(c_0_243,negated_conjecture,
~ cong(esk5_0,esk3_0,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_244,plain,
cong(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_242])]) ).
cnf(c_0_245,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_243,c_0_244])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO590+1 : TPTP v8.1.2. Released v7.5.0.
% 0.10/0.13 % Command : run_E %s %d THM
% 0.13/0.33 % Computer : n032.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 2400
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Oct 3 06:14:50 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.18/0.43 Running first-order theorem proving
% 0.18/0.43 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.fkPIwXMqnp/E---3.1_3255.p
% 1.42/0.68 # Version: 3.1pre001
% 1.42/0.68 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.42/0.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.42/0.68 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.42/0.68 # Starting new_bool_3 with 300s (1) cores
% 1.42/0.68 # Starting new_bool_1 with 300s (1) cores
% 1.42/0.68 # Starting sh5l with 300s (1) cores
% 1.42/0.68 # sh5l with pid 3369 completed with status 0
% 1.42/0.68 # Result found by sh5l
% 1.42/0.68 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.42/0.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.42/0.68 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.42/0.68 # Starting new_bool_3 with 300s (1) cores
% 1.42/0.68 # Starting new_bool_1 with 300s (1) cores
% 1.42/0.68 # Starting sh5l with 300s (1) cores
% 1.42/0.68 # SinE strategy is gf500_gu_R04_F100_L20000
% 1.42/0.68 # Search class: FGUSF-FFLM33-SFFFFFNN
% 1.42/0.68 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 1.42/0.68 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.42/0.68 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 1.42/0.68 # SAT001_MinMin_p005000_rr_RG with pid 3377 completed with status 0
% 1.42/0.68 # Result found by SAT001_MinMin_p005000_rr_RG
% 1.42/0.68 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.42/0.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.42/0.68 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.42/0.68 # Starting new_bool_3 with 300s (1) cores
% 1.42/0.68 # Starting new_bool_1 with 300s (1) cores
% 1.42/0.68 # Starting sh5l with 300s (1) cores
% 1.42/0.68 # SinE strategy is gf500_gu_R04_F100_L20000
% 1.42/0.68 # Search class: FGUSF-FFLM33-SFFFFFNN
% 1.42/0.68 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 1.42/0.68 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.42/0.68 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 1.42/0.68 # Preprocessing time : 0.002 s
% 1.42/0.68 # Presaturation interreduction done
% 1.42/0.68
% 1.42/0.68 # Proof found!
% 1.42/0.68 # SZS status Theorem
% 1.42/0.68 # SZS output start CNFRefutation
% See solution above
% 1.42/0.68 # Parsed axioms : 95
% 1.42/0.68 # Removed by relevancy pruning/SinE : 0
% 1.42/0.68 # Initial clauses : 120
% 1.42/0.68 # Removed in clause preprocessing : 0
% 1.42/0.68 # Initial clauses in saturation : 120
% 1.42/0.68 # Processed clauses : 3861
% 1.42/0.68 # ...of these trivial : 690
% 1.42/0.68 # ...subsumed : 599
% 1.42/0.68 # ...remaining for further processing : 2572
% 1.42/0.68 # Other redundant clauses eliminated : 0
% 1.42/0.68 # Clauses deleted for lack of memory : 0
% 1.42/0.68 # Backward-subsumed : 74
% 1.42/0.68 # Backward-rewritten : 1823
% 1.42/0.68 # Generated clauses : 21145
% 1.42/0.68 # ...of the previous two non-redundant : 14119
% 1.42/0.68 # ...aggressively subsumed : 0
% 1.42/0.68 # Contextual simplify-reflections : 3
% 1.42/0.68 # Paramodulations : 21145
% 1.42/0.68 # Factorizations : 0
% 1.42/0.68 # NegExts : 0
% 1.42/0.68 # Equation resolutions : 0
% 1.42/0.68 # Total rewrite steps : 11376
% 1.42/0.68 # Propositional unsat checks : 0
% 1.42/0.68 # Propositional check models : 0
% 1.42/0.68 # Propositional check unsatisfiable : 0
% 1.42/0.68 # Propositional clauses : 0
% 1.42/0.68 # Propositional clauses after purity: 0
% 1.42/0.68 # Propositional unsat core size : 0
% 1.42/0.68 # Propositional preprocessing time : 0.000
% 1.42/0.68 # Propositional encoding time : 0.000
% 1.42/0.68 # Propositional solver time : 0.000
% 1.42/0.68 # Success case prop preproc time : 0.000
% 1.42/0.68 # Success case prop encoding time : 0.000
% 1.42/0.68 # Success case prop solver time : 0.000
% 1.42/0.68 # Current number of processed clauses : 556
% 1.42/0.68 # Positive orientable unit clauses : 486
% 1.42/0.68 # Positive unorientable unit clauses: 0
% 1.42/0.68 # Negative unit clauses : 0
% 1.42/0.68 # Non-unit-clauses : 70
% 1.42/0.68 # Current number of unprocessed clauses: 10363
% 1.42/0.68 # ...number of literals in the above : 26576
% 1.42/0.68 # Current number of archived formulas : 0
% 1.42/0.68 # Current number of archived clauses : 2016
% 1.42/0.68 # Clause-clause subsumption calls (NU) : 90485
% 1.42/0.68 # Rec. Clause-clause subsumption calls : 71768
% 1.42/0.68 # Non-unit clause-clause subsumptions : 629
% 1.42/0.68 # Unit Clause-clause subsumption calls : 107814
% 1.42/0.68 # Rewrite failures with RHS unbound : 0
% 1.42/0.68 # BW rewrite match attempts : 22594
% 1.42/0.68 # BW rewrite match successes : 1417
% 1.42/0.68 # Condensation attempts : 0
% 1.42/0.68 # Condensation successes : 0
% 1.42/0.68 # Termbank termtop insertions : 238165
% 1.42/0.68
% 1.42/0.68 # -------------------------------------------------
% 1.42/0.68 # User time : 0.228 s
% 1.42/0.68 # System time : 0.013 s
% 1.42/0.68 # Total time : 0.241 s
% 1.42/0.68 # Maximum resident set size: 2604 pages
% 1.42/0.68
% 1.42/0.68 # -------------------------------------------------
% 1.42/0.68 # User time : 0.230 s
% 1.42/0.68 # System time : 0.014 s
% 1.42/0.68 # Total time : 0.244 s
% 1.42/0.68 # Maximum resident set size: 1872 pages
% 1.42/0.68 % E---3.1 exiting
% 1.42/0.68 % E---3.1 exiting
%------------------------------------------------------------------------------