TSTP Solution File: GEO586+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO586+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 04:06:29 EDT 2022
% Result : Theorem 0.23s 1.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 44
% Syntax : Number of formulae : 290 ( 92 unt; 0 def)
% Number of atoms : 621 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 573 ( 242 ~; 239 |; 47 &)
% ( 0 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-4 aty)
% Number of variables : 907 ( 55 sgn 432 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(ruleX11,axiom,
! [X1,X2,X3,X8] :
? [X9] :
( circle(X8,X1,X2,X3)
=> perp(X9,X1,X1,X8) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
fof(ruleD8,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(exemplo6GDDFULL416048,conjecture,
! [X1,X2,X3,X8,X4,X5,X19,X20] :
( ( circle(X8,X1,X2,X3)
& circle(X8,X1,X4,X20)
& coll(X5,X1,X3)
& coll(X5,X2,X4)
& circle(X19,X1,X2,X5) )
=> perp(X19,X5,X3,X4) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',exemplo6GDDFULL416048) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(ruleD21,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X1,X2,X9,X10,X3,X4,X11,X12) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(ruleD14,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X3)
& coll(X1,X2,X4) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(ruleD57,axiom,
! [X1,X2,X9,X10] :
( ( cong(X1,X9,X2,X9)
& cong(X1,X10,X2,X10)
& cyclic(X1,X2,X9,X10) )
=> perp(X9,X1,X1,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD57) ).
fof(ruleD43,axiom,
! [X1,X2,X3,X9,X10,X15] :
( ( cyclic(X1,X2,X3,X9)
& cyclic(X1,X2,X3,X10)
& cyclic(X1,X2,X3,X15)
& eqangle(X3,X1,X3,X2,X15,X9,X15,X10) )
=> cong(X1,X2,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(ruleX14,axiom,
! [X1,X2,X3,X4] :
? [X8] :
( ( perp(X1,X3,X3,X2)
& cyclic(X1,X2,X3,X4) )
=> circle(X8,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX14) ).
fof(ruleD74,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
& perp(X9,X10,X11,X12) )
=> perp(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
fof(ruleD46,axiom,
! [X1,X2,X8] :
( cong(X8,X1,X8,X2)
=> eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(ruleD53,axiom,
! [X1,X2,X3,X8] :
( ( circle(X8,X1,X2,X3)
& coll(X8,X1,X3) )
=> perp(X1,X2,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(ruleD48,axiom,
! [X1,X2,X3,X8,X16] :
( ( circle(X8,X1,X2,X3)
& perp(X8,X1,X1,X16) )
=> eqangle(X1,X16,X1,X2,X3,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD48) ).
fof(ruleD7,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
fof(ruleD18,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X2,X1,X3,X4,X9,X10,X11,X12) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
fof(ruleD15,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X3,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD51) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(ruleD12,axiom,
! [X1,X2,X3,X8] :
( ( cong(X8,X1,X8,X2)
& cong(X8,X1,X8,X3) )
=> circle(X8,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
fof(ruleD41,axiom,
! [X1,X2,X9,X10] :
( cyclic(X1,X2,X9,X10)
=> eqangle(X9,X1,X9,X2,X10,X1,X10,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(ruleD22,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12,X5,X6,X13,X14] :
( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
& eqangle(X9,X10,X11,X12,X5,X6,X13,X14) )
=> eqangle(X1,X2,X3,X4,X5,X6,X13,X14) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(ruleD23,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(ruleD67,axiom,
! [X1,X2,X3] :
( ( cong(X1,X2,X1,X3)
& coll(X1,X2,X3) )
=> midp(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(ruleD24,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(ruleD52,axiom,
! [X1,X2,X3,X7] :
( ( perp(X1,X2,X2,X3)
& midp(X7,X1,X3) )
=> cong(X1,X7,X2,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
fof(ruleX10,axiom,
! [X1,X2,X3,X14] :
? [X9,X10] :
( ( perp(X1,X14,X2,X3)
& perp(X2,X14,X1,X3) )
=> ( coll(X9,X3,X2)
& perp(X1,X9,X3,X2)
& coll(X10,X3,X1)
& perp(X2,X10,X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX10) ).
fof(ruleD55,axiom,
! [X1,X2,X7,X8] :
( ( midp(X7,X1,X2)
& perp(X8,X7,X1,X2) )
=> cong(X8,X1,X8,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(ruleD10,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( para(X1,X2,X3,X4)
& perp(X3,X4,X5,X6) )
=> perp(X1,X2,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
fof(ruleD5,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(c_0_44,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ perp(X7,X8,X9,X10)
| ~ perp(X9,X10,X11,X12)
| para(X7,X8,X11,X12) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_45,plain,
! [X10,X11,X12,X13] :
( ~ circle(X13,X10,X11,X12)
| perp(esk18_4(X10,X11,X12,X13),X10,X10,X13) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
fof(c_0_46,plain,
! [X5,X6,X7,X8] :
( ~ perp(X5,X6,X7,X8)
| perp(X7,X8,X5,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
cnf(c_0_47,plain,
( para(X1,X2,X3,X4)
| ~ perp(X5,X6,X3,X4)
| ~ perp(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_48,plain,
( perp(esk18_4(X1,X2,X3,X4),X1,X1,X4)
| ~ circle(X4,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_49,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_50,negated_conjecture,
~ ! [X1,X2,X3,X8,X4,X5,X19,X20] :
( ( circle(X8,X1,X2,X3)
& circle(X8,X1,X4,X20)
& coll(X5,X1,X3)
& coll(X5,X2,X4)
& circle(X19,X1,X2,X5) )
=> perp(X19,X5,X3,X4) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL416048]) ).
cnf(c_0_51,plain,
( para(X1,X2,X3,X4)
| ~ circle(X4,X3,X5,X6)
| ~ perp(X1,X2,esk18_4(X3,X5,X6,X4),X3) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_52,plain,
( perp(X1,X2,esk18_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_49,c_0_48]) ).
fof(c_0_53,negated_conjecture,
( circle(esk4_0,esk1_0,esk2_0,esk3_0)
& circle(esk4_0,esk1_0,esk5_0,esk8_0)
& coll(esk6_0,esk1_0,esk3_0)
& coll(esk6_0,esk2_0,esk5_0)
& circle(esk7_0,esk1_0,esk2_0,esk6_0)
& ~ perp(esk7_0,esk6_0,esk3_0,esk5_0) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])])]) ).
fof(c_0_54,plain,
! [X11,X12,X13,X14,X15,X16] :
( ~ para(X11,X12,X13,X14)
| eqangle(X11,X12,X15,X16,X13,X14,X15,X16) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])])]) ).
cnf(c_0_55,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_56,negated_conjecture,
circle(esk7_0,esk1_0,esk2_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
fof(c_0_57,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20] :
( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
| eqangle(X15,X16,X13,X14,X19,X20,X17,X18) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
cnf(c_0_58,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| ~ para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_59,negated_conjecture,
para(esk1_0,esk7_0,esk1_0,esk7_0),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
fof(c_0_60,plain,
! [X11,X12,X13,X14,X15,X16] :
( ~ eqangle(X11,X12,X15,X16,X13,X14,X15,X16)
| para(X11,X12,X13,X14) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])])]) ).
cnf(c_0_61,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ eqangle(X3,X4,X1,X2,X7,X8,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_62,negated_conjecture,
eqangle(esk1_0,esk7_0,X1,X2,esk1_0,esk7_0,X1,X2),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
fof(c_0_63,plain,
! [X5,X6,X7,X8] :
( ~ para(X5,X6,X7,X8)
| para(X5,X6,X8,X7) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_64,plain,
( para(X1,X2,X3,X4)
| ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_65,negated_conjecture,
eqangle(X1,X2,esk1_0,esk7_0,X1,X2,esk1_0,esk7_0),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
fof(c_0_66,plain,
! [X4,X5,X6] :
( ~ para(X4,X5,X4,X6)
| coll(X4,X5,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_67,plain,
( para(X1,X2,X3,X4)
| ~ para(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_68,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
fof(c_0_69,plain,
! [X4,X5,X6] :
( ~ coll(X4,X5,X6)
| coll(X5,X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_70,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_71,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
fof(c_0_72,plain,
! [X4,X5,X6] :
( ~ coll(X4,X5,X6)
| coll(X4,X6,X5) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_73,plain,
( coll(X1,X2,X3)
| ~ coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_74,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_70,c_0_68]) ).
fof(c_0_75,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20] :
( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
| eqangle(X13,X14,X17,X18,X15,X16,X19,X20) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).
cnf(c_0_76,negated_conjecture,
eqangle(X1,X2,X3,X4,X2,X1,X3,X4),
inference(spm,[status(thm)],[c_0_58,c_0_71]) ).
fof(c_0_77,plain,
! [X5,X6,X7,X8] :
( ~ cyclic(X5,X6,X7,X8)
| cyclic(X5,X6,X8,X7) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
fof(c_0_78,plain,
! [X11,X12,X13,X14] :
( ~ eqangle(X13,X11,X13,X12,X14,X11,X14,X12)
| ~ coll(X13,X14,X12)
| cyclic(X11,X12,X13,X14) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_79,plain,
! [X5,X6,X7,X8] :
( ~ coll(X5,X6,X7)
| ~ coll(X5,X6,X8)
| coll(X7,X8,X5) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_80,plain,
( coll(X1,X2,X3)
| ~ coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_81,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
fof(c_0_82,plain,
! [X11,X12,X13,X14] :
( ~ cong(X11,X13,X12,X13)
| ~ cong(X11,X14,X12,X14)
| ~ cyclic(X11,X12,X13,X14)
| perp(X13,X11,X11,X14) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD57])]) ).
fof(c_0_83,plain,
! [X16,X17,X18,X19,X20,X21] :
( ~ cyclic(X16,X17,X18,X19)
| ~ cyclic(X16,X17,X18,X20)
| ~ cyclic(X16,X17,X18,X21)
| ~ eqangle(X18,X16,X18,X17,X21,X19,X21,X20)
| cong(X16,X17,X19,X20) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])])])]) ).
cnf(c_0_84,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ eqangle(X1,X2,X5,X6,X3,X4,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_85,negated_conjecture,
eqangle(X1,X2,X3,X4,X1,X2,X4,X3),
inference(spm,[status(thm)],[c_0_61,c_0_76]) ).
cnf(c_0_86,plain,
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_87,plain,
( cyclic(X1,X2,X3,X4)
| ~ coll(X3,X4,X2)
| ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_88,plain,
( coll(X1,X2,X3)
| ~ coll(X3,X4,X2)
| ~ coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_89,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_90,plain,
( perp(X1,X2,X2,X3)
| ~ cyclic(X2,X4,X1,X3)
| ~ cong(X2,X3,X4,X3)
| ~ cong(X2,X1,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_91,plain,
( cong(X1,X2,X3,X4)
| ~ eqangle(X5,X1,X5,X2,X6,X3,X6,X4)
| ~ cyclic(X1,X2,X5,X6)
| ~ cyclic(X1,X2,X5,X4)
| ~ cyclic(X1,X2,X5,X3) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_92,negated_conjecture,
eqangle(X1,X2,X1,X2,X3,X4,X4,X3),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_93,plain,
( cyclic(X1,X2,X3,X4)
| ~ eqangle(X4,X1,X4,X2,X3,X1,X3,X2)
| ~ coll(X4,X3,X2) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_94,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_89])]) ).
cnf(c_0_95,negated_conjecture,
eqangle(X1,X2,X3,X4,X1,X2,X3,X4),
inference(spm,[status(thm)],[c_0_58,c_0_68]) ).
fof(c_0_96,plain,
! [X9,X10,X11,X12] :
( ~ perp(X9,X11,X11,X10)
| ~ cyclic(X9,X10,X11,X12)
| circle(esk22_3(X9,X10,X11),X9,X10,X11) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX14])])])])]) ).
fof(c_0_97,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20] :
( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
| ~ perp(X17,X18,X19,X20)
| perp(X13,X14,X15,X16) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD74])])])]) ).
cnf(c_0_98,plain,
( perp(X1,X2,X2,X3)
| ~ eqangle(X1,X2,X1,X4,X3,X2,X3,X4)
| ~ cong(X2,X3,X4,X3)
| ~ cong(X2,X1,X4,X1)
| ~ coll(X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_90,c_0_87]) ).
fof(c_0_99,plain,
! [X9,X10,X11] :
( ~ cong(X11,X9,X11,X10)
| eqangle(X11,X9,X9,X10,X9,X10,X11,X10) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_100,negated_conjecture,
( cong(X1,X1,X2,X2)
| ~ cyclic(X1,X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_101,plain,
( cyclic(X1,X2,X3,X4)
| ~ eqangle(X4,X1,X4,X2,X3,X1,X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_94])]) ).
cnf(c_0_102,negated_conjecture,
eqangle(X1,X2,X1,X2,X3,X4,X3,X4),
inference(spm,[status(thm)],[c_0_84,c_0_95]) ).
cnf(c_0_103,plain,
( circle(esk22_3(X1,X2,X3),X1,X2,X3)
| ~ cyclic(X1,X2,X3,X4)
| ~ perp(X1,X3,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_104,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X5,X6,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_105,negated_conjecture,
eqangle(X1,X2,X2,X1,X3,X4,X3,X4),
inference(spm,[status(thm)],[c_0_84,c_0_76]) ).
cnf(c_0_106,plain,
( perp(X1,X2,X2,X3)
| ~ eqangle(X1,X2,X1,X4,X3,X2,X3,X4)
| ~ cong(X2,X3,X4,X3)
| ~ cong(X2,X1,X4,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_94])]) ).
cnf(c_0_107,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_108,negated_conjecture,
cong(X1,X1,X2,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102])]) ).
fof(c_0_109,plain,
! [X9,X10,X11,X12] :
( ~ circle(X12,X9,X10,X11)
| ~ coll(X12,X9,X11)
| perp(X9,X10,X10,X11) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD53])])])]) ).
cnf(c_0_110,plain,
( circle(esk22_3(X1,X2,X3),X1,X2,X3)
| ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ perp(X1,X3,X3,X2)
| ~ coll(X3,X4,X2) ),
inference(spm,[status(thm)],[c_0_103,c_0_87]) ).
cnf(c_0_111,negated_conjecture,
( perp(X1,X2,X2,X1)
| ~ perp(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_112,plain,
perp(X1,X1,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108])]) ).
cnf(c_0_113,plain,
( perp(X1,X2,X2,X3)
| ~ coll(X4,X1,X3)
| ~ circle(X4,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_114,plain,
( circle(esk22_3(X1,X2,X3),X1,X2,X3)
| ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ perp(X1,X3,X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_94])]) ).
cnf(c_0_115,negated_conjecture,
perp(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
fof(c_0_116,plain,
! [X6,X7,X8,X9,X10] :
( ~ cyclic(X6,X7,X8,X9)
| ~ cyclic(X6,X7,X8,X10)
| cyclic(X7,X8,X9,X10) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
fof(c_0_117,plain,
! [X17,X18,X19,X20,X21] :
( ~ circle(X20,X17,X18,X19)
| ~ perp(X20,X17,X17,X21)
| eqangle(X17,X21,X17,X18,X19,X17,X19,X18) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD48])]) ).
fof(c_0_118,plain,
! [X5,X6,X7,X8] :
( ~ perp(X5,X6,X7,X8)
| perp(X5,X6,X8,X7) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])]) ).
cnf(c_0_119,plain,
( perp(X1,X2,X2,X3)
| ~ circle(X4,X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_94])]) ).
cnf(c_0_120,negated_conjecture,
circle(esk22_3(X1,X1,X2),X1,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_102]),c_0_115])]) ).
cnf(c_0_121,plain,
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X5,X1,X2,X4)
| ~ cyclic(X5,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
fof(c_0_122,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20] :
( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
| eqangle(X14,X13,X15,X16,X17,X18,X19,X20) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD18])]) ).
cnf(c_0_123,plain,
( eqangle(X1,X2,X1,X3,X4,X1,X4,X3)
| ~ perp(X5,X1,X1,X2)
| ~ circle(X5,X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_124,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_125,negated_conjecture,
perp(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
fof(c_0_126,plain,
! [X5,X6,X7,X8] :
( ~ cyclic(X5,X6,X7,X8)
| cyclic(X5,X7,X6,X8) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_127,plain,
( cyclic(X1,X2,X3,X4)
| ~ eqangle(X2,X5,X2,X1,X4,X5,X4,X1)
| ~ cyclic(X5,X1,X2,X3)
| ~ coll(X2,X4,X1) ),
inference(spm,[status(thm)],[c_0_121,c_0_87]) ).
cnf(c_0_128,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ eqangle(X2,X1,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_129,negated_conjecture,
( eqangle(esk1_0,X1,esk1_0,esk2_0,esk6_0,esk1_0,esk6_0,esk2_0)
| ~ perp(esk7_0,esk1_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_123,c_0_56]) ).
cnf(c_0_130,negated_conjecture,
perp(X1,X1,X2,X1),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_131,plain,
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_132,plain,
( cyclic(X1,X2,X3,X4)
| ~ eqangle(X2,X5,X2,X1,X4,X5,X4,X1)
| ~ cyclic(X5,X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_94])]) ).
cnf(c_0_133,negated_conjecture,
( eqangle(X1,esk1_0,esk1_0,esk2_0,esk6_0,esk1_0,esk6_0,esk2_0)
| ~ perp(esk7_0,esk1_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_134,negated_conjecture,
perp(X1,X2,X2,X2),
inference(spm,[status(thm)],[c_0_49,c_0_130]) ).
cnf(c_0_135,plain,
( cyclic(X1,X2,X3,X4)
| ~ eqangle(X2,X1,X2,X3,X4,X1,X4,X3)
| ~ coll(X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_131,c_0_87]) ).
cnf(c_0_136,negated_conjecture,
( cyclic(esk2_0,esk1_0,X1,esk6_0)
| ~ cyclic(esk1_0,esk2_0,esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_134])]) ).
cnf(c_0_137,plain,
( cyclic(X1,X2,X3,X4)
| ~ eqangle(X2,X1,X2,X3,X4,X1,X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_94])]) ).
cnf(c_0_138,negated_conjecture,
cyclic(esk2_0,esk1_0,X1,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_102])]) ).
fof(c_0_139,plain,
! [X9,X10,X11,X12,X13] :
( ~ circle(X12,X9,X10,X11)
| ~ coll(X13,X10,X11)
| ~ eqangle(X9,X10,X9,X11,X12,X10,X12,X13)
| midp(X13,X10,X11) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])]) ).
cnf(c_0_140,negated_conjecture,
cyclic(esk2_0,esk1_0,esk6_0,X1),
inference(spm,[status(thm)],[c_0_86,c_0_138]) ).
cnf(c_0_141,plain,
( midp(X1,X2,X3)
| ~ eqangle(X4,X2,X4,X3,X5,X2,X5,X1)
| ~ coll(X1,X2,X3)
| ~ circle(X5,X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_139]) ).
cnf(c_0_142,negated_conjecture,
cyclic(esk1_0,esk6_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_140]),c_0_140])]) ).
fof(c_0_143,plain,
! [X8,X9,X10,X11,X12] :
( ~ midp(X12,X8,X9)
| ~ para(X8,X10,X9,X11)
| ~ para(X8,X11,X9,X10)
| midp(X12,X10,X11) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_144,plain,
( midp(X1,X2,X3)
| ~ eqangle(X4,X2,X4,X3,X5,X2,X5,X1)
| ~ circle(X5,X4,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_94])]) ).
fof(c_0_145,plain,
! [X9,X10,X11,X12] :
( ~ cong(X12,X9,X12,X10)
| ~ cong(X12,X9,X12,X11)
| circle(X12,X9,X10,X11) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD12])]) ).
cnf(c_0_146,negated_conjecture,
circle(esk4_0,esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
fof(c_0_147,plain,
! [X11,X12,X13,X14] :
( ~ cyclic(X11,X12,X13,X14)
| eqangle(X13,X11,X13,X12,X14,X11,X14,X12) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
cnf(c_0_148,negated_conjecture,
cyclic(esk6_0,X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_142]),c_0_142])]) ).
cnf(c_0_149,plain,
( midp(X1,X2,X3)
| ~ para(X4,X3,X5,X2)
| ~ para(X4,X2,X5,X3)
| ~ midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_143]) ).
cnf(c_0_150,plain,
( midp(X1,X1,X1)
| ~ circle(X1,X1,X1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_107]),c_0_108])]) ).
cnf(c_0_151,plain,
( circle(X1,X2,X3,X4)
| ~ cong(X1,X2,X1,X4)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_145]) ).
cnf(c_0_152,negated_conjecture,
( perp(esk1_0,esk2_0,esk2_0,esk6_0)
| ~ coll(esk7_0,esk1_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_113,c_0_56]) ).
cnf(c_0_153,negated_conjecture,
( eqangle(esk1_0,X1,esk1_0,esk2_0,esk3_0,esk1_0,esk3_0,esk2_0)
| ~ perp(esk4_0,esk1_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_123,c_0_146]) ).
fof(c_0_154,plain,
! [X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26] :
( ~ eqangle(X15,X16,X17,X18,X19,X20,X21,X22)
| ~ eqangle(X19,X20,X21,X22,X23,X24,X25,X26)
| eqangle(X15,X16,X17,X18,X23,X24,X25,X26) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])]) ).
cnf(c_0_155,plain,
( eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
| ~ cyclic(X2,X3,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_147]) ).
cnf(c_0_156,negated_conjecture,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_148]),c_0_148])]) ).
fof(c_0_157,plain,
! [X4,X5,X6] :
( ~ midp(X4,X5,X6)
| cong(X4,X5,X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_158,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_68]),c_0_68])]) ).
cnf(c_0_159,plain,
midp(X1,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_108])]) ).
cnf(c_0_160,negated_conjecture,
( perp(esk1_0,esk2_0,esk6_0,esk2_0)
| ~ coll(esk7_0,esk1_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_124,c_0_152]) ).
fof(c_0_161,plain,
! [X5,X6,X7,X8] :
( ~ cong(X5,X6,X7,X8)
| cong(X5,X6,X8,X7) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_162,negated_conjecture,
( cong(X1,esk2_0,esk1_0,esk2_0)
| ~ cyclic(X1,esk2_0,esk1_0,esk3_0)
| ~ cyclic(X1,esk2_0,esk1_0,esk2_0)
| ~ cyclic(X1,esk2_0,esk1_0,esk1_0)
| ~ perp(esk4_0,esk1_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_153]) ).
cnf(c_0_163,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ eqangle(X9,X10,X11,X12,X5,X6,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X9,X10,X11,X12) ),
inference(split_conjunct,[status(thm)],[c_0_154]) ).
cnf(c_0_164,plain,
eqangle(X1,X2,X1,X3,X4,X2,X4,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_156])]) ).
cnf(c_0_165,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_166,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
fof(c_0_167,plain,
! [X11,X12,X13,X14] :
( ~ cong(X11,X13,X12,X13)
| ~ cong(X11,X14,X12,X14)
| perp(X11,X12,X13,X14) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).
cnf(c_0_168,negated_conjecture,
coll(esk6_0,esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_169,negated_conjecture,
( perp(esk6_0,esk2_0,esk1_0,esk2_0)
| ~ coll(esk7_0,esk1_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_160]) ).
fof(c_0_170,plain,
! [X8,X9,X10] :
( ~ midp(X10,X9,X8)
| midp(X10,X8,X9) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
fof(c_0_171,plain,
! [X4,X5,X6] :
( ~ cong(X4,X5,X4,X6)
| ~ coll(X4,X5,X6)
| midp(X4,X5,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
fof(c_0_172,plain,
! [X5,X6,X7,X8] :
( ~ cong(X5,X6,X7,X8)
| cong(X7,X8,X5,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_173,plain,
( cong(X1,X2,X3,X4)
| ~ cong(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
cnf(c_0_174,negated_conjecture,
( cong(esk6_0,esk2_0,esk1_0,esk2_0)
| ~ perp(esk4_0,esk1_0,esk1_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_148]),c_0_148]),c_0_148])]) ).
cnf(c_0_175,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X7,X6)
| ~ eqangle(X1,X2,X3,X4,X7,X5,X5,X6)
| ~ cong(X7,X5,X7,X6) ),
inference(spm,[status(thm)],[c_0_163,c_0_107]) ).
cnf(c_0_176,plain,
eqangle(X1,X2,X3,X2,X1,X4,X3,X4),
inference(spm,[status(thm)],[c_0_84,c_0_164]) ).
cnf(c_0_177,negated_conjecture,
cong(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_178,plain,
( perp(X1,X2,X3,X4)
| ~ cong(X1,X4,X2,X4)
| ~ cong(X1,X3,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_167]) ).
cnf(c_0_179,negated_conjecture,
coll(esk6_0,esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_80,c_0_168]) ).
cnf(c_0_180,negated_conjecture,
( coll(X1,esk3_0,esk6_0)
| ~ coll(esk6_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_168]) ).
fof(c_0_181,plain,
! [X8,X9,X10,X11] :
( ~ perp(X8,X9,X9,X10)
| ~ midp(X11,X8,X10)
| cong(X8,X11,X9,X11) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD52])]) ).
cnf(c_0_182,negated_conjecture,
( perp(esk6_0,esk2_0,esk2_0,esk1_0)
| ~ coll(esk7_0,esk1_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_124,c_0_169]) ).
cnf(c_0_183,plain,
( midp(X1,X2,X3)
| ~ midp(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_170]) ).
cnf(c_0_184,plain,
( midp(X1,X2,X3)
| ~ coll(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_171]) ).
cnf(c_0_185,plain,
( cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_186,negated_conjecture,
( cong(esk6_0,esk2_0,esk2_0,esk1_0)
| ~ perp(esk4_0,esk1_0,esk1_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_187,plain,
eqangle(X1,X2,X3,X2,X3,X3,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_177])]) ).
cnf(c_0_188,negated_conjecture,
perp(X1,X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_177]),c_0_177])]) ).
cnf(c_0_189,negated_conjecture,
coll(esk3_0,esk6_0,esk1_0),
inference(spm,[status(thm)],[c_0_73,c_0_179]) ).
cnf(c_0_190,negated_conjecture,
coll(esk3_0,esk3_0,esk6_0),
inference(spm,[status(thm)],[c_0_180,c_0_168]) ).
cnf(c_0_191,negated_conjecture,
circle(esk4_0,esk1_0,esk5_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
fof(c_0_192,plain,
! [X15,X16,X17,X18] :
( ( coll(esk13_3(X15,X16,X17),X17,X16)
| ~ perp(X15,X18,X16,X17)
| ~ perp(X16,X18,X15,X17) )
& ( perp(X15,esk13_3(X15,X16,X17),X17,X16)
| ~ perp(X15,X18,X16,X17)
| ~ perp(X16,X18,X15,X17) )
& ( coll(esk14_3(X15,X16,X17),X17,X15)
| ~ perp(X15,X18,X16,X17)
| ~ perp(X16,X18,X15,X17) )
& ( perp(X16,esk14_3(X15,X16,X17),X17,X15)
| ~ perp(X15,X18,X16,X17)
| ~ perp(X16,X18,X15,X17) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX10])])])])])]) ).
cnf(c_0_193,plain,
( cong(X1,X2,X3,X2)
| ~ midp(X2,X1,X4)
| ~ perp(X1,X3,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_194,negated_conjecture,
perp(esk6_0,esk2_0,esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_182,c_0_94])]) ).
cnf(c_0_195,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X3,X1,X2)
| ~ coll(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_196,negated_conjecture,
( cong(esk2_0,esk1_0,esk6_0,esk2_0)
| ~ perp(esk4_0,esk1_0,esk1_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_197,plain,
perp(X1,X2,X3,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_187]),c_0_188])]) ).
cnf(c_0_198,negated_conjecture,
( coll(X1,esk1_0,esk3_0)
| ~ coll(esk3_0,esk6_0,X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_189]) ).
cnf(c_0_199,negated_conjecture,
coll(esk3_0,esk6_0,esk3_0),
inference(spm,[status(thm)],[c_0_80,c_0_190]) ).
cnf(c_0_200,negated_conjecture,
( perp(esk1_0,esk5_0,esk5_0,esk8_0)
| ~ coll(esk4_0,esk1_0,esk8_0) ),
inference(spm,[status(thm)],[c_0_113,c_0_191]) ).
cnf(c_0_201,plain,
( perp(X3,esk13_3(X3,X1,X4),X4,X1)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X2,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_192]) ).
cnf(c_0_202,negated_conjecture,
perp(esk1_0,esk2_0,esk6_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_94])]) ).
cnf(c_0_203,negated_conjecture,
perp(esk6_0,esk2_0,esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_94])]) ).
fof(c_0_204,plain,
! [X9,X10,X11,X12] :
( ~ midp(X11,X9,X10)
| ~ perp(X12,X11,X9,X10)
| cong(X12,X9,X12,X10) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD55])]) ).
cnf(c_0_205,negated_conjecture,
( cong(esk6_0,X1,esk2_0,X1)
| ~ midp(X1,esk6_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_206,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X3,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_195,c_0_94])]) ).
cnf(c_0_207,negated_conjecture,
( cong(esk2_0,esk1_0,esk2_0,esk6_0)
| ~ perp(esk4_0,esk1_0,esk1_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_173,c_0_196]) ).
cnf(c_0_208,plain,
perp(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_124,c_0_197]) ).
cnf(c_0_209,negated_conjecture,
coll(esk3_0,esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_198,c_0_199]) ).
cnf(c_0_210,negated_conjecture,
( perp(esk1_0,esk5_0,esk8_0,esk5_0)
| ~ coll(esk4_0,esk1_0,esk8_0) ),
inference(spm,[status(thm)],[c_0_124,c_0_200]) ).
fof(c_0_211,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20] :
( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
| ~ para(X17,X18,X19,X20)
| para(X13,X14,X15,X16) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])])]) ).
cnf(c_0_212,negated_conjecture,
perp(esk1_0,esk13_3(esk1_0,esk6_0,esk2_0),esk2_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_203])]) ).
cnf(c_0_213,plain,
( cong(X1,X2,X1,X3)
| ~ perp(X1,X4,X2,X3)
| ~ midp(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_204]) ).
cnf(c_0_214,negated_conjecture,
( cong(esk6_0,X1,esk2_0,X1)
| ~ cong(X1,esk1_0,X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_215,negated_conjecture,
cong(esk2_0,esk1_0,esk2_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_207,c_0_208])]) ).
cnf(c_0_216,negated_conjecture,
coll(esk3_0,esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_80,c_0_209]) ).
cnf(c_0_217,negated_conjecture,
( perp(esk1_0,esk2_0,esk2_0,esk3_0)
| ~ coll(esk4_0,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_113,c_0_146]) ).
cnf(c_0_218,negated_conjecture,
( perp(esk8_0,esk5_0,esk1_0,esk5_0)
| ~ coll(esk4_0,esk1_0,esk8_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_210]) ).
cnf(c_0_219,plain,
( para(X1,X2,X3,X4)
| ~ para(X5,X6,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_211]) ).
cnf(c_0_220,negated_conjecture,
( para(X1,X2,esk2_0,esk6_0)
| ~ perp(X1,X2,esk1_0,esk13_3(esk1_0,esk6_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_47,c_0_212]) ).
cnf(c_0_221,negated_conjecture,
eqangle(X1,X2,X3,X4,X2,X1,X4,X3),
inference(spm,[status(thm)],[c_0_128,c_0_85]) ).
cnf(c_0_222,negated_conjecture,
( cong(esk1_0,esk2_0,esk1_0,esk6_0)
| ~ midp(esk2_0,esk2_0,esk6_0)
| ~ coll(esk7_0,esk1_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_213,c_0_152]) ).
cnf(c_0_223,negated_conjecture,
cong(esk6_0,esk2_0,esk2_0,esk2_0),
inference(spm,[status(thm)],[c_0_214,c_0_215]) ).
cnf(c_0_224,negated_conjecture,
( coll(X1,esk1_0,esk3_0)
| ~ coll(esk3_0,esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_216]) ).
cnf(c_0_225,negated_conjecture,
( perp(esk1_0,esk2_0,esk3_0,esk2_0)
| ~ coll(esk4_0,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_124,c_0_217]) ).
cnf(c_0_226,plain,
( perp(X1,esk14_3(X3,X1,X4),X4,X3)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X2,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_192]) ).
cnf(c_0_227,negated_conjecture,
perp(esk1_0,esk5_0,esk8_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_94])]) ).
cnf(c_0_228,negated_conjecture,
perp(esk8_0,esk5_0,esk1_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_218,c_0_94])]) ).
fof(c_0_229,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ para(X7,X8,X9,X10)
| ~ perp(X9,X10,X11,X12)
| perp(X7,X8,X11,X12) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD10])]) ).
cnf(c_0_230,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_107]) ).
cnf(c_0_231,negated_conjecture,
para(X1,X1,esk2_0,esk6_0),
inference(spm,[status(thm)],[c_0_220,c_0_188]) ).
cnf(c_0_232,negated_conjecture,
( perp(X1,X2,X3,X4)
| ~ perp(X2,X1,X4,X3) ),
inference(spm,[status(thm)],[c_0_104,c_0_221]) ).
cnf(c_0_233,negated_conjecture,
( cong(esk1_0,esk2_0,esk1_0,esk6_0)
| ~ midp(esk2_0,esk2_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_222,c_0_94])]) ).
cnf(c_0_234,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_184,c_0_94])]) ).
cnf(c_0_235,negated_conjecture,
cong(esk2_0,esk2_0,esk6_0,esk2_0),
inference(spm,[status(thm)],[c_0_185,c_0_223]) ).
cnf(c_0_236,negated_conjecture,
coll(X1,esk1_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_224,c_0_89])]) ).
cnf(c_0_237,negated_conjecture,
( perp(esk3_0,esk2_0,esk1_0,esk2_0)
| ~ coll(esk4_0,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_225]) ).
cnf(c_0_238,negated_conjecture,
perp(esk8_0,esk14_3(esk1_0,esk8_0,esk5_0),esk5_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_228])]) ).
cnf(c_0_239,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X5,X6,X3,X4)
| ~ para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_229]) ).
cnf(c_0_240,negated_conjecture,
para(esk2_0,esk6_0,esk6_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_177])]) ).
cnf(c_0_241,plain,
( eqangle(X1,X2,X3,X1,X3,X2,X1,X2)
| ~ cong(X3,X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_107]) ).
cnf(c_0_242,negated_conjecture,
perp(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_232,c_0_197]) ).
cnf(c_0_243,negated_conjecture,
( cong(esk1_0,esk2_0,esk1_0,esk6_0)
| ~ cong(esk2_0,esk2_0,esk2_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_244,negated_conjecture,
cong(esk2_0,esk2_0,esk2_0,esk6_0),
inference(spm,[status(thm)],[c_0_173,c_0_235]) ).
cnf(c_0_245,negated_conjecture,
perp(esk1_0,esk2_0,esk3_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_225,c_0_236])]) ).
cnf(c_0_246,negated_conjecture,
perp(esk3_0,esk2_0,esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_237,c_0_236])]) ).
cnf(c_0_247,negated_conjecture,
( para(X1,X2,esk5_0,esk1_0)
| ~ perp(X1,X2,esk8_0,esk14_3(esk1_0,esk8_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_47,c_0_238]) ).
cnf(c_0_248,negated_conjecture,
perp(esk2_0,esk6_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_188])]) ).
cnf(c_0_249,plain,
( para(X1,X2,X3,X1)
| ~ cong(X3,X1,X3,X2)
| ~ para(X3,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_219,c_0_241]) ).
cnf(c_0_250,negated_conjecture,
para(esk1_0,X1,esk2_0,esk6_0),
inference(spm,[status(thm)],[c_0_220,c_0_242]) ).
cnf(c_0_251,negated_conjecture,
cong(esk1_0,esk2_0,esk1_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_243,c_0_244])]) ).
cnf(c_0_252,negated_conjecture,
perp(esk1_0,esk13_3(esk1_0,esk3_0,esk2_0),esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_245]),c_0_246])]) ).
fof(c_0_253,plain,
! [X5,X6,X7,X8] :
( ~ para(X5,X6,X7,X8)
| para(X7,X8,X5,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_254,negated_conjecture,
( para(X1,X2,X3,X4)
| ~ para(X2,X1,X4,X3) ),
inference(spm,[status(thm)],[c_0_219,c_0_221]) ).
cnf(c_0_255,negated_conjecture,
para(esk2_0,esk6_0,esk5_0,esk1_0),
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_256,negated_conjecture,
para(esk2_0,esk6_0,esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_251])]) ).
cnf(c_0_257,negated_conjecture,
( perp(esk2_0,esk3_0,esk1_0,esk2_0)
| ~ coll(esk4_0,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_217]) ).
cnf(c_0_258,negated_conjecture,
( para(X1,X2,esk2_0,esk3_0)
| ~ perp(X1,X2,esk1_0,esk13_3(esk1_0,esk3_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_47,c_0_252]) ).
cnf(c_0_259,plain,
( para(X1,X2,X3,X4)
| ~ para(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_253]) ).
cnf(c_0_260,negated_conjecture,
para(esk6_0,esk2_0,esk1_0,esk5_0),
inference(spm,[status(thm)],[c_0_254,c_0_255]) ).
cnf(c_0_261,negated_conjecture,
para(esk2_0,esk6_0,esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_67,c_0_256]) ).
cnf(c_0_262,negated_conjecture,
para(X1,esk1_0,esk2_0,esk6_0),
inference(spm,[status(thm)],[c_0_220,c_0_208]) ).
cnf(c_0_263,negated_conjecture,
perp(esk2_0,esk3_0,esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_257,c_0_236])]) ).
cnf(c_0_264,negated_conjecture,
para(X1,X1,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_258,c_0_188]) ).
cnf(c_0_265,negated_conjecture,
para(esk1_0,esk5_0,esk6_0,esk2_0),
inference(spm,[status(thm)],[c_0_259,c_0_260]) ).
cnf(c_0_266,negated_conjecture,
midp(X1,esk1_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_261]),c_0_166]),c_0_262])]) ).
cnf(c_0_267,negated_conjecture,
( para(X1,X2,esk1_0,esk2_0)
| ~ perp(X1,X2,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_263]) ).
cnf(c_0_268,negated_conjecture,
para(esk2_0,esk3_0,esk3_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_264]),c_0_177])]) ).
fof(c_0_269,plain,
! [X7,X8,X9,X10,X11] :
( ~ midp(X10,X7,X8)
| ~ para(X10,X11,X8,X9)
| ~ coll(X11,X7,X9)
| midp(X11,X7,X9) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_270,negated_conjecture,
( midp(X1,esk2_0,esk5_0)
| ~ para(esk1_0,esk2_0,esk6_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_265]),c_0_266])]) ).
cnf(c_0_271,negated_conjecture,
( para(esk1_0,esk2_0,X1,X2)
| ~ perp(X1,X2,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_259,c_0_267]) ).
cnf(c_0_272,negated_conjecture,
perp(esk2_0,esk3_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_268]),c_0_188])]) ).
cnf(c_0_273,plain,
( midp(X1,X2,X3)
| ~ coll(X1,X2,X3)
| ~ para(X4,X1,X5,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_269]) ).
cnf(c_0_274,negated_conjecture,
( midp(X1,esk2_0,esk5_0)
| ~ perp(esk6_0,esk5_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_270,c_0_271]) ).
cnf(c_0_275,negated_conjecture,
perp(X1,X2,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_49,c_0_272]) ).
cnf(c_0_276,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_273,c_0_94])]) ).
cnf(c_0_277,negated_conjecture,
para(esk1_0,X1,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_258,c_0_242]) ).
cnf(c_0_278,negated_conjecture,
midp(X1,esk2_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_274,c_0_275])]) ).
cnf(c_0_279,negated_conjecture,
( midp(X1,X2,esk3_0)
| ~ midp(esk1_0,X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_276,c_0_277]) ).
cnf(c_0_280,negated_conjecture,
midp(X1,esk5_0,esk2_0),
inference(spm,[status(thm)],[c_0_183,c_0_278]) ).
cnf(c_0_281,negated_conjecture,
midp(X1,esk5_0,esk3_0),
inference(spm,[status(thm)],[c_0_279,c_0_280]) ).
cnf(c_0_282,negated_conjecture,
cong(X1,esk5_0,X1,esk3_0),
inference(spm,[status(thm)],[c_0_165,c_0_281]) ).
cnf(c_0_283,negated_conjecture,
cong(X1,esk5_0,esk3_0,X1),
inference(spm,[status(thm)],[c_0_173,c_0_282]) ).
cnf(c_0_284,negated_conjecture,
cong(esk3_0,X1,X1,esk5_0),
inference(spm,[status(thm)],[c_0_185,c_0_283]) ).
cnf(c_0_285,negated_conjecture,
cong(esk3_0,X1,esk5_0,X1),
inference(spm,[status(thm)],[c_0_173,c_0_284]) ).
cnf(c_0_286,negated_conjecture,
perp(esk3_0,esk5_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_285]),c_0_285])]) ).
cnf(c_0_287,negated_conjecture,
~ perp(esk7_0,esk6_0,esk3_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_288,negated_conjecture,
perp(X1,X2,esk3_0,esk5_0),
inference(spm,[status(thm)],[c_0_49,c_0_286]) ).
cnf(c_0_289,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_287,c_0_288])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO586+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 12:12:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.23/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.42 # Preprocessing time : 0.023 s
% 0.23/1.42
% 0.23/1.42 # Proof found!
% 0.23/1.42 # SZS status Theorem
% 0.23/1.42 # SZS output start CNFRefutation
% See solution above
% 0.23/1.42 # Proof object total steps : 290
% 0.23/1.42 # Proof object clause steps : 201
% 0.23/1.42 # Proof object formula steps : 89
% 0.23/1.42 # Proof object conjectures : 129
% 0.23/1.42 # Proof object clause conjectures : 126
% 0.23/1.42 # Proof object formula conjectures : 3
% 0.23/1.42 # Proof object initial clauses used : 49
% 0.23/1.42 # Proof object initial formulas used : 44
% 0.23/1.42 # Proof object generating inferences : 127
% 0.23/1.42 # Proof object simplifying inferences : 106
% 0.23/1.42 # Training examples: 0 positive, 0 negative
% 0.23/1.42 # Parsed axioms : 95
% 0.23/1.42 # Removed by relevancy pruning/SinE : 21
% 0.23/1.42 # Initial clauses : 98
% 0.23/1.42 # Removed in clause preprocessing : 0
% 0.23/1.42 # Initial clauses in saturation : 98
% 0.23/1.42 # Processed clauses : 5004
% 0.23/1.42 # ...of these trivial : 1316
% 0.23/1.42 # ...subsumed : 489
% 0.23/1.42 # ...remaining for further processing : 3199
% 0.23/1.42 # Other redundant clauses eliminated : 0
% 0.23/1.42 # Clauses deleted for lack of memory : 0
% 0.23/1.42 # Backward-subsumed : 57
% 0.23/1.42 # Backward-rewritten : 1786
% 0.23/1.42 # Generated clauses : 35278
% 0.23/1.42 # ...of the previous two non-trivial : 26434
% 0.23/1.42 # Contextual simplify-reflections : 28
% 0.23/1.42 # Paramodulations : 35278
% 0.23/1.42 # Factorizations : 0
% 0.23/1.42 # Equation resolutions : 0
% 0.23/1.42 # Current number of processed clauses : 1356
% 0.23/1.42 # Positive orientable unit clauses : 889
% 0.23/1.42 # Positive unorientable unit clauses: 0
% 0.23/1.42 # Negative unit clauses : 0
% 0.23/1.42 # Non-unit-clauses : 467
% 0.23/1.42 # Current number of unprocessed clauses: 7445
% 0.23/1.42 # ...number of literals in the above : 22533
% 0.23/1.42 # Current number of archived formulas : 0
% 0.23/1.42 # Current number of archived clauses : 1843
% 0.23/1.42 # Clause-clause subsumption calls (NU) : 156887
% 0.23/1.42 # Rec. Clause-clause subsumption calls : 95979
% 0.23/1.42 # Non-unit clause-clause subsumptions : 532
% 0.23/1.42 # Unit Clause-clause subsumption calls : 124024
% 0.23/1.42 # Rewrite failures with RHS unbound : 0
% 0.23/1.42 # BW rewrite match attempts : 49091
% 0.23/1.42 # BW rewrite match successes : 1342
% 0.23/1.42 # Condensation attempts : 0
% 0.23/1.42 # Condensation successes : 0
% 0.23/1.42 # Termbank termtop insertions : 454482
% 0.23/1.42
% 0.23/1.42 # -------------------------------------------------
% 0.23/1.42 # User time : 0.688 s
% 0.23/1.42 # System time : 0.010 s
% 0.23/1.42 # Total time : 0.698 s
% 0.23/1.42 # Maximum resident set size: 16324 pages
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------