TSTP Solution File: GEO616+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO616+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n003.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 04:06:43 EDT 2022
% Result : Theorem 0.25s 2.43s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 34
% Syntax : Number of formulae : 240 ( 85 unt; 0 def)
% Number of atoms : 481 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 409 ( 168 ~; 164 |; 42 &)
% ( 0 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-4 aty)
% Number of variables : 698 ( 32 sgn 354 !; 1 ?)
% 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(exemplo6GDDFULL618078,conjecture,
! [X1,X2,X3,X8,X13,X5,X19,X14,X17,X20] :
( ( circle(X8,X1,X2,X3)
& midp(X13,X3,X2)
& coll(X5,X8,X13)
& circle(X8,X1,X5,X20)
& perp(X19,X5,X1,X2)
& coll(X19,X1,X2)
& perp(X14,X1,X8,X13)
& coll(X14,X8,X13)
& circle(X17,X19,X13,X14) )
=> perp(X5,X19,X19,X17) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',exemplo6GDDFULL618078) ).
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(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(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(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(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
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(ruleD44,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& midp(X6,X1,X3) )
=> para(X5,X6,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(ruleD63,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& midp(X7,X3,X4) )
=> para(X1,X3,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
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(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(ruleD6,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( para(X1,X2,X3,X4)
& para(X3,X4,X5,X6) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
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(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(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(ruleD20,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X9,X10,X11,X12,X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
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(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(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(ruleD50,axiom,
! [X1,X2,X3,X8,X7] :
( ( circle(X8,X1,X2,X3)
& midp(X7,X2,X3) )
=> eqangle(X1,X2,X1,X3,X8,X2,X8,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD50) ).
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(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(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
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(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(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(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(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(c_0_34,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_35,plain,
! [X10,X11,X12,X13] :
( ~ circle(X13,X10,X11,X12)
| perp(esk20_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_36,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_37,plain,
( para(X1,X2,X3,X4)
| ~ perp(X5,X6,X3,X4)
| ~ perp(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_38,plain,
( perp(esk20_4(X1,X2,X3,X4),X1,X1,X4)
| ~ circle(X4,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_39,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_40,negated_conjecture,
~ ! [X1,X2,X3,X8,X13,X5,X19,X14,X17,X20] :
( ( circle(X8,X1,X2,X3)
& midp(X13,X3,X2)
& coll(X5,X8,X13)
& circle(X8,X1,X5,X20)
& perp(X19,X5,X1,X2)
& coll(X19,X1,X2)
& perp(X14,X1,X8,X13)
& coll(X14,X8,X13)
& circle(X17,X19,X13,X14) )
=> perp(X5,X19,X19,X17) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL618078]) ).
cnf(c_0_41,plain,
( para(X1,X2,X3,X4)
| ~ circle(X4,X3,X5,X6)
| ~ perp(X1,X2,esk20_4(X3,X5,X6,X4),X3) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,plain,
( perp(X1,X2,esk20_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_39,c_0_38]) ).
fof(c_0_43,negated_conjecture,
( circle(esk4_0,esk1_0,esk2_0,esk3_0)
& midp(esk5_0,esk3_0,esk2_0)
& coll(esk6_0,esk4_0,esk5_0)
& circle(esk4_0,esk1_0,esk6_0,esk10_0)
& perp(esk7_0,esk6_0,esk1_0,esk2_0)
& coll(esk7_0,esk1_0,esk2_0)
& perp(esk8_0,esk1_0,esk4_0,esk5_0)
& coll(esk8_0,esk4_0,esk5_0)
& circle(esk9_0,esk7_0,esk5_0,esk8_0)
& ~ perp(esk6_0,esk7_0,esk7_0,esk9_0) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])]) ).
fof(c_0_44,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_45,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_46,negated_conjecture,
circle(esk9_0,esk7_0,esk5_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_47,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_48,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| ~ para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_49,negated_conjecture,
para(esk7_0,esk9_0,esk7_0,esk9_0),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
fof(c_0_50,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_51,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_47]) ).
cnf(c_0_52,negated_conjecture,
eqangle(esk7_0,esk9_0,X1,X2,esk7_0,esk9_0,X1,X2),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
fof(c_0_53,plain,
! [X4,X5,X6] :
( ~ midp(X4,X5,X6)
| cong(X4,X5,X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
fof(c_0_54,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_55,plain,
( para(X1,X2,X3,X4)
| ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_56,negated_conjecture,
eqangle(X1,X2,esk7_0,esk9_0,X1,X2,esk7_0,esk9_0),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_57,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_58,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_59,negated_conjecture,
midp(esk5_0,esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_60,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_61,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_62,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
fof(c_0_63,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_64,plain,
( cong(X1,X2,X3,X4)
| ~ cong(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_65,negated_conjecture,
cong(esk5_0,esk3_0,esk5_0,esk2_0),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
fof(c_0_66,plain,
! [X7,X8,X9,X10,X11] :
( ~ midp(X10,X7,X8)
| ~ midp(X11,X7,X9)
| para(X10,X11,X8,X9) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
fof(c_0_67,plain,
! [X8,X9,X10,X11,X12] :
( ~ midp(X12,X8,X9)
| ~ midp(X12,X10,X11)
| para(X8,X10,X9,X11) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])])])]) ).
cnf(c_0_68,negated_conjecture,
perp(esk7_0,esk6_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_69,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])])])]) ).
fof(c_0_70,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_71,plain,
( coll(X1,X2,X3)
| ~ coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_72,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_73,plain,
( cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_74,negated_conjecture,
cong(esk5_0,esk3_0,esk2_0,esk5_0),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_75,plain,
( para(X1,X2,X3,X4)
| ~ midp(X2,X5,X4)
| ~ midp(X1,X5,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
fof(c_0_76,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ para(X7,X8,X9,X10)
| ~ para(X9,X10,X11,X12)
| para(X7,X8,X11,X12) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD6])]) ).
cnf(c_0_77,plain,
( para(X1,X2,X3,X4)
| ~ midp(X5,X2,X4)
| ~ midp(X5,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
fof(c_0_78,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_79,negated_conjecture,
perp(esk1_0,esk2_0,esk7_0,esk6_0),
inference(spm,[status(thm)],[c_0_39,c_0_68]) ).
cnf(c_0_80,plain,
( perp(X1,X2,X2,X3)
| ~ coll(X4,X1,X3)
| ~ circle(X4,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_81,negated_conjecture,
circle(esk4_0,esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_82,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_83,plain,
( coll(X1,X2,X3)
| ~ coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_84,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
fof(c_0_85,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_86,negated_conjecture,
cong(esk2_0,esk5_0,esk5_0,esk3_0),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_87,negated_conjecture,
( para(X1,esk5_0,X2,esk2_0)
| ~ midp(X1,esk3_0,X2) ),
inference(spm,[status(thm)],[c_0_75,c_0_59]) ).
cnf(c_0_88,plain,
( para(X1,X2,X3,X4)
| ~ para(X5,X6,X3,X4)
| ~ para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_89,negated_conjecture,
( para(X1,esk3_0,X2,esk2_0)
| ~ midp(esk5_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_77,c_0_59]) ).
cnf(c_0_90,plain,
( para(X1,X2,X3,X4)
| ~ para(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_91,negated_conjecture,
( para(X1,X2,esk7_0,esk6_0)
| ~ perp(X1,X2,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_79]) ).
fof(c_0_92,plain,
! [X8,X9,X10] :
( ~ midp(X10,X9,X8)
| midp(X10,X8,X9) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_93,negated_conjecture,
( perp(esk1_0,esk2_0,esk2_0,esk3_0)
| ~ coll(esk4_0,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_94,plain,
( coll(X1,X2,X3)
| ~ coll(X3,X4,X2)
| ~ coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_95,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_96,plain,
( perp(X1,X2,X3,X4)
| ~ cong(X1,X4,X2,X4)
| ~ cong(X1,X3,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_97,negated_conjecture,
cong(esk2_0,esk5_0,esk3_0,esk5_0),
inference(spm,[status(thm)],[c_0_64,c_0_86]) ).
cnf(c_0_98,negated_conjecture,
( eqangle(X1,esk5_0,X2,X3,X4,esk2_0,X2,X3)
| ~ midp(X1,esk3_0,X4) ),
inference(spm,[status(thm)],[c_0_48,c_0_87]) ).
cnf(c_0_99,negated_conjecture,
( para(X1,X2,X3,esk2_0)
| ~ midp(esk5_0,X4,X3)
| ~ para(X1,X2,X4,esk3_0) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_100,negated_conjecture,
( para(esk7_0,esk6_0,X1,X2)
| ~ perp(X1,X2,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_101,plain,
( midp(X1,X2,X3)
| ~ midp(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_102,negated_conjecture,
( perp(esk2_0,esk3_0,esk1_0,esk2_0)
| ~ coll(esk4_0,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_93]) ).
cnf(c_0_103,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_95])]) ).
cnf(c_0_104,negated_conjecture,
( perp(esk2_0,esk3_0,X1,esk5_0)
| ~ cong(esk2_0,X1,esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
fof(c_0_105,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20] :
( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
| eqangle(X17,X18,X19,X20,X13,X14,X15,X16) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).
cnf(c_0_106,negated_conjecture,
eqangle(esk5_0,esk5_0,X1,X2,esk2_0,esk2_0,X1,X2),
inference(spm,[status(thm)],[c_0_98,c_0_59]) ).
fof(c_0_107,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_108,negated_conjecture,
( para(esk7_0,esk6_0,X1,esk2_0)
| ~ midp(esk5_0,X2,X1)
| ~ perp(X2,esk3_0,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_109,negated_conjecture,
midp(esk5_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_101,c_0_59]) ).
cnf(c_0_110,negated_conjecture,
perp(esk2_0,esk3_0,esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_103])]) ).
fof(c_0_111,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_112,negated_conjecture,
perp(esk2_0,esk3_0,esk5_0,esk5_0),
inference(spm,[status(thm)],[c_0_104,c_0_97]) ).
fof(c_0_113,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_114,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ eqangle(X5,X6,X7,X8,X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_115,negated_conjecture,
eqangle(X1,X2,esk5_0,esk5_0,X1,X2,esk2_0,esk2_0),
inference(spm,[status(thm)],[c_0_51,c_0_106]) ).
cnf(c_0_116,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X5,X6,X3,X4)
| ~ para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_117,negated_conjecture,
para(esk7_0,esk6_0,esk3_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110])]) ).
cnf(c_0_118,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_119,negated_conjecture,
perp(esk5_0,esk5_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_39,c_0_112]) ).
cnf(c_0_120,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_113]) ).
cnf(c_0_121,negated_conjecture,
eqangle(X1,X2,esk2_0,esk2_0,X1,X2,esk5_0,esk5_0),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_122,negated_conjecture,
( perp(esk7_0,esk6_0,X1,X2)
| ~ perp(esk3_0,esk2_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_123,negated_conjecture,
perp(esk5_0,esk5_0,esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_124,negated_conjecture,
( perp(X1,X2,esk2_0,esk2_0)
| ~ perp(X1,X2,esk5_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_125,negated_conjecture,
( perp(esk7_0,esk6_0,X1,X2)
| ~ perp(esk3_0,esk2_0,X2,X1) ),
inference(spm,[status(thm)],[c_0_118,c_0_122]) ).
cnf(c_0_126,negated_conjecture,
perp(esk3_0,esk2_0,esk5_0,esk5_0),
inference(spm,[status(thm)],[c_0_39,c_0_123]) ).
cnf(c_0_127,negated_conjecture,
( eqangle(X1,esk3_0,X2,X3,X4,esk2_0,X2,X3)
| ~ midp(esk5_0,X1,X4) ),
inference(spm,[status(thm)],[c_0_48,c_0_89]) ).
cnf(c_0_128,negated_conjecture,
perp(esk7_0,esk6_0,esk2_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126])]) ).
cnf(c_0_129,negated_conjecture,
eqangle(esk3_0,esk3_0,X1,X2,esk2_0,esk2_0,X1,X2),
inference(spm,[status(thm)],[c_0_127,c_0_59]) ).
cnf(c_0_130,negated_conjecture,
( perp(X1,esk3_0,X2,X3)
| ~ midp(esk5_0,X1,X4)
| ~ perp(X4,esk2_0,X2,X3) ),
inference(spm,[status(thm)],[c_0_116,c_0_89]) ).
cnf(c_0_131,negated_conjecture,
perp(esk2_0,esk2_0,esk7_0,esk6_0),
inference(spm,[status(thm)],[c_0_39,c_0_128]) ).
fof(c_0_132,plain,
! [X9,X10,X11,X12,X13] :
( ~ circle(X12,X9,X10,X11)
| ~ midp(X13,X10,X11)
| eqangle(X9,X10,X9,X11,X12,X10,X12,X13) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD50])]) ).
cnf(c_0_133,negated_conjecture,
( para(X1,X2,esk1_0,esk2_0)
| ~ perp(X1,X2,esk7_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_68]) ).
cnf(c_0_134,negated_conjecture,
para(esk3_0,esk3_0,esk2_0,esk2_0),
inference(spm,[status(thm)],[c_0_55,c_0_129]) ).
cnf(c_0_135,negated_conjecture,
( perp(X1,esk3_0,esk7_0,esk6_0)
| ~ midp(esk5_0,X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_136,plain,
( eqangle(X1,X2,X1,X3,X4,X2,X4,X5)
| ~ midp(X5,X2,X3)
| ~ circle(X4,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
fof(c_0_137,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_138,negated_conjecture,
( para(X1,X2,esk1_0,esk2_0)
| ~ perp(X3,X4,esk7_0,esk6_0)
| ~ para(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_88,c_0_133]) ).
cnf(c_0_139,negated_conjecture,
para(esk2_0,esk2_0,esk3_0,esk3_0),
inference(spm,[status(thm)],[c_0_90,c_0_134]) ).
cnf(c_0_140,negated_conjecture,
perp(esk3_0,esk3_0,esk7_0,esk6_0),
inference(spm,[status(thm)],[c_0_135,c_0_59]) ).
cnf(c_0_141,negated_conjecture,
( eqangle(esk1_0,esk2_0,esk1_0,esk3_0,esk4_0,esk2_0,esk4_0,X1)
| ~ midp(X1,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_136,c_0_81]) ).
fof(c_0_142,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_143,negated_conjecture,
perp(esk7_0,esk6_0,esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_118,c_0_68]) ).
cnf(c_0_144,plain,
( para(X1,X2,X3,X4)
| ~ para(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_145,negated_conjecture,
para(esk2_0,esk2_0,esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140])]) ).
fof(c_0_146,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ cong(X7,X8,X9,X10)
| ~ cong(X9,X10,X11,X12)
| cong(X7,X8,X11,X12) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).
fof(c_0_147,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_148,negated_conjecture,
eqangle(esk1_0,esk2_0,esk1_0,esk3_0,esk4_0,esk2_0,esk4_0,esk5_0),
inference(spm,[status(thm)],[c_0_141,c_0_109]) ).
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_142]) ).
cnf(c_0_150,negated_conjecture,
( para(X1,X2,esk2_0,esk1_0)
| ~ perp(X1,X2,esk7_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_143]) ).
cnf(c_0_151,negated_conjecture,
para(esk2_0,esk2_0,esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
fof(c_0_152,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])]) ).
cnf(c_0_153,plain,
( cong(X1,X2,X3,X4)
| ~ cong(X5,X6,X3,X4)
| ~ cong(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
fof(c_0_154,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_155,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_147]) ).
cnf(c_0_156,negated_conjecture,
eqangle(esk4_0,esk2_0,esk4_0,esk5_0,esk1_0,esk2_0,esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_114,c_0_148]) ).
cnf(c_0_157,negated_conjecture,
( midp(X1,esk1_0,X2)
| ~ midp(X1,X3,esk2_0)
| ~ perp(X3,X2,esk7_0,esk6_0)
| ~ para(X3,esk1_0,esk2_0,X2) ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_158,negated_conjecture,
para(esk2_0,esk1_0,esk2_0,esk2_0),
inference(spm,[status(thm)],[c_0_90,c_0_151]) ).
cnf(c_0_159,plain,
( midp(X1,X2,X3)
| ~ coll(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_152]) ).
cnf(c_0_160,negated_conjecture,
( cong(X1,X2,esk2_0,esk5_0)
| ~ cong(X1,X2,esk5_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_153,c_0_74]) ).
cnf(c_0_161,negated_conjecture,
cong(esk5_0,esk2_0,esk5_0,esk3_0),
inference(spm,[status(thm)],[c_0_58,c_0_109]) ).
cnf(c_0_162,negated_conjecture,
perp(esk8_0,esk1_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_163,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_154]) ).
cnf(c_0_164,negated_conjecture,
eqangle(esk2_0,esk4_0,esk4_0,esk5_0,esk1_0,esk2_0,esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_165,negated_conjecture,
( midp(X1,esk1_0,esk2_0)
| ~ midp(X1,esk2_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_131])]) ).
cnf(c_0_166,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X3,X1,X2)
| ~ coll(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_159]) ).
cnf(c_0_167,negated_conjecture,
cong(esk5_0,esk2_0,esk2_0,esk5_0),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_168,negated_conjecture,
eqangle(esk1_0,esk3_0,esk1_0,esk2_0,esk4_0,esk5_0,esk4_0,esk2_0),
inference(spm,[status(thm)],[c_0_51,c_0_148]) ).
cnf(c_0_169,negated_conjecture,
perp(esk8_0,esk1_0,esk5_0,esk4_0),
inference(spm,[status(thm)],[c_0_118,c_0_162]) ).
cnf(c_0_170,negated_conjecture,
( para(esk2_0,esk4_0,esk4_0,esk5_0)
| ~ para(esk1_0,esk2_0,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_171,negated_conjecture,
( para(esk1_0,esk2_0,X1,X2)
| ~ perp(X1,X2,esk7_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_133]) ).
cnf(c_0_172,negated_conjecture,
( perp(esk1_0,esk3_0,esk7_0,esk6_0)
| ~ midp(esk5_0,esk2_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_135,c_0_165]) ).
cnf(c_0_173,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X3,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_103])]) ).
cnf(c_0_174,negated_conjecture,
cong(esk5_0,esk2_0,esk5_0,esk2_0),
inference(spm,[status(thm)],[c_0_64,c_0_167]) ).
cnf(c_0_175,negated_conjecture,
eqangle(esk4_0,esk5_0,esk4_0,esk2_0,esk1_0,esk3_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_114,c_0_168]) ).
cnf(c_0_176,negated_conjecture,
( para(X1,X2,esk5_0,esk4_0)
| ~ perp(X1,X2,esk8_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_169]) ).
cnf(c_0_177,negated_conjecture,
( para(esk2_0,esk4_0,esk4_0,esk5_0)
| ~ perp(esk1_0,esk3_0,esk7_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_178,negated_conjecture,
perp(esk1_0,esk3_0,esk7_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_174])]) ).
fof(c_0_179,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_180,negated_conjecture,
( para(esk4_0,esk5_0,esk4_0,esk2_0)
| ~ para(esk1_0,esk3_0,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_163,c_0_175]) ).
cnf(c_0_181,negated_conjecture,
( para(X1,X2,esk5_0,esk4_0)
| ~ perp(X3,X4,esk8_0,esk1_0)
| ~ para(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_88,c_0_176]) ).
cnf(c_0_182,negated_conjecture,
para(esk2_0,esk4_0,esk4_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_178])]) ).
cnf(c_0_183,negated_conjecture,
perp(esk4_0,esk5_0,esk8_0,esk1_0),
inference(spm,[status(thm)],[c_0_39,c_0_162]) ).
cnf(c_0_184,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_179]) ).
cnf(c_0_185,negated_conjecture,
( para(esk4_0,esk5_0,esk4_0,esk2_0)
| ~ perp(esk1_0,esk3_0,esk7_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_180,c_0_133]) ).
cnf(c_0_186,negated_conjecture,
para(esk2_0,esk4_0,esk5_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_183])]) ).
cnf(c_0_187,negated_conjecture,
para(esk1_0,esk2_0,esk2_0,esk2_0),
inference(spm,[status(thm)],[c_0_90,c_0_145]) ).
cnf(c_0_188,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_184,c_0_103])]) ).
cnf(c_0_189,negated_conjecture,
para(esk4_0,esk5_0,esk4_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_185,c_0_178])]) ).
cnf(c_0_190,negated_conjecture,
para(esk5_0,esk4_0,esk2_0,esk4_0),
inference(spm,[status(thm)],[c_0_90,c_0_186]) ).
cnf(c_0_191,negated_conjecture,
para(esk5_0,esk5_0,esk2_0,esk2_0),
inference(spm,[status(thm)],[c_0_55,c_0_106]) ).
cnf(c_0_192,negated_conjecture,
( midp(X1,esk2_0,esk2_0)
| ~ midp(X1,esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_187]),c_0_187])]) ).
cnf(c_0_193,negated_conjecture,
( midp(esk5_0,X1,esk2_0)
| ~ midp(esk4_0,X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_194,negated_conjecture,
( midp(esk4_0,X1,esk4_0)
| ~ midp(esk5_0,X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_188,c_0_190]) ).
cnf(c_0_195,negated_conjecture,
para(esk5_0,esk5_0,esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_191]),c_0_131])]) ).
cnf(c_0_196,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_62]),c_0_62])]) ).
cnf(c_0_197,negated_conjecture,
( midp(esk5_0,esk2_0,esk2_0)
| ~ midp(esk4_0,esk1_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_192,c_0_193]) ).
cnf(c_0_198,negated_conjecture,
( midp(esk4_0,esk1_0,esk4_0)
| ~ midp(esk5_0,esk2_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_194,c_0_165]) ).
cnf(c_0_199,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_103])]) ).
cnf(c_0_200,negated_conjecture,
para(esk1_0,esk2_0,esk5_0,esk5_0),
inference(spm,[status(thm)],[c_0_90,c_0_195]) ).
cnf(c_0_201,negated_conjecture,
( midp(esk5_0,X1,X1)
| ~ midp(esk4_0,esk1_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_202,negated_conjecture,
midp(esk4_0,esk1_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_174])]) ).
cnf(c_0_203,negated_conjecture,
eqangle(esk1_0,esk2_0,X1,X2,esk5_0,esk5_0,X1,X2),
inference(spm,[status(thm)],[c_0_48,c_0_200]) ).
cnf(c_0_204,negated_conjecture,
midp(esk5_0,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_201,c_0_202])]) ).
cnf(c_0_205,negated_conjecture,
eqangle(X1,X2,esk1_0,esk2_0,X1,X2,esk5_0,esk5_0),
inference(spm,[status(thm)],[c_0_51,c_0_203]) ).
cnf(c_0_206,negated_conjecture,
cong(esk5_0,X1,esk5_0,X1),
inference(spm,[status(thm)],[c_0_58,c_0_204]) ).
cnf(c_0_207,negated_conjecture,
eqangle(X1,X2,esk1_0,esk2_0,X2,X1,esk5_0,esk5_0),
inference(spm,[status(thm)],[c_0_155,c_0_205]) ).
cnf(c_0_208,negated_conjecture,
perp(esk5_0,esk5_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_206]),c_0_206])]) ).
cnf(c_0_209,negated_conjecture,
( para(X1,esk2_0,X2,esk3_0)
| ~ midp(esk5_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_77,c_0_109]) ).
cnf(c_0_210,negated_conjecture,
( perp(X1,X2,esk1_0,esk2_0)
| ~ perp(X2,X1,esk5_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_120,c_0_207]) ).
cnf(c_0_211,negated_conjecture,
perp(X1,X2,esk5_0,esk5_0),
inference(spm,[status(thm)],[c_0_39,c_0_208]) ).
fof(c_0_212,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_213,negated_conjecture,
( perp(X1,esk2_0,X2,X3)
| ~ midp(esk5_0,X1,X4)
| ~ perp(X4,esk3_0,X2,X3) ),
inference(spm,[status(thm)],[c_0_116,c_0_209]) ).
cnf(c_0_214,negated_conjecture,
para(esk7_0,esk6_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_144,c_0_117]) ).
cnf(c_0_215,negated_conjecture,
perp(X1,X2,esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_211])]) ).
cnf(c_0_216,negated_conjecture,
eqangle(esk7_0,esk6_0,X1,X2,esk3_0,esk2_0,X1,X2),
inference(spm,[status(thm)],[c_0_48,c_0_117]) ).
cnf(c_0_217,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_212]) ).
cnf(c_0_218,negated_conjecture,
( perp(X1,esk2_0,esk1_0,esk2_0)
| ~ midp(esk5_0,X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_213,c_0_110]) ).
cnf(c_0_219,negated_conjecture,
para(esk2_0,esk3_0,esk7_0,esk6_0),
inference(spm,[status(thm)],[c_0_90,c_0_214]) ).
cnf(c_0_220,negated_conjecture,
perp(esk1_0,esk2_0,X1,X2),
inference(spm,[status(thm)],[c_0_39,c_0_215]) ).
cnf(c_0_221,negated_conjecture,
eqangle(X1,X2,esk7_0,esk6_0,X1,X2,esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_51,c_0_216]) ).
cnf(c_0_222,negated_conjecture,
eqangle(esk7_0,esk6_0,esk3_0,esk2_0,X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_217,c_0_216]) ).
cnf(c_0_223,negated_conjecture,
( perp(esk1_0,esk2_0,esk1_0,esk2_0)
| ~ midp(esk5_0,esk2_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_218,c_0_165]) ).
cnf(c_0_224,negated_conjecture,
para(esk2_0,esk3_0,esk6_0,esk7_0),
inference(spm,[status(thm)],[c_0_144,c_0_219]) ).
cnf(c_0_225,negated_conjecture,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_220]),c_0_215])]) ).
cnf(c_0_226,negated_conjecture,
eqangle(X1,X2,X1,X2,esk7_0,esk6_0,esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_217,c_0_221]) ).
cnf(c_0_227,negated_conjecture,
( perp(esk7_0,esk6_0,esk3_0,esk2_0)
| ~ perp(X1,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_120,c_0_222]) ).
cnf(c_0_228,negated_conjecture,
perp(esk1_0,esk2_0,esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_173]),c_0_174])]) ).
cnf(c_0_229,negated_conjecture,
para(esk6_0,esk7_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_90,c_0_224]) ).
cnf(c_0_230,plain,
eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_225])]) ).
cnf(c_0_231,negated_conjecture,
( perp(X1,X2,X1,X2)
| ~ perp(esk7_0,esk6_0,esk3_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_120,c_0_226]) ).
cnf(c_0_232,negated_conjecture,
perp(esk7_0,esk6_0,esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_227,c_0_228]) ).
cnf(c_0_233,negated_conjecture,
~ perp(esk6_0,esk7_0,esk7_0,esk9_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_234,negated_conjecture,
( perp(esk6_0,esk7_0,X1,X2)
| ~ perp(esk2_0,esk3_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_116,c_0_229]) ).
cnf(c_0_235,plain,
eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
inference(spm,[status(thm)],[c_0_217,c_0_230]) ).
cnf(c_0_236,negated_conjecture,
perp(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_231,c_0_232])]) ).
cnf(c_0_237,negated_conjecture,
~ perp(esk2_0,esk3_0,esk7_0,esk9_0),
inference(spm,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_238,plain,
perp(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_235]),c_0_236])]) ).
cnf(c_0_239,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_237,c_0_238])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO616+1 : TPTP v8.1.0. Released v7.5.0.
% 0.00/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jun 17 18:28:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.25/2.43 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/2.43 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/2.43 # Preprocessing time : 0.024 s
% 0.25/2.43
% 0.25/2.43 # Proof found!
% 0.25/2.43 # SZS status Theorem
% 0.25/2.43 # SZS output start CNFRefutation
% See solution above
% 0.25/2.43 # Proof object total steps : 240
% 0.25/2.43 # Proof object clause steps : 171
% 0.25/2.43 # Proof object formula steps : 69
% 0.25/2.43 # Proof object conjectures : 131
% 0.25/2.43 # Proof object clause conjectures : 128
% 0.25/2.43 # Proof object formula conjectures : 3
% 0.25/2.43 # Proof object initial clauses used : 39
% 0.25/2.43 # Proof object initial formulas used : 34
% 0.25/2.43 # Proof object generating inferences : 121
% 0.25/2.43 # Proof object simplifying inferences : 52
% 0.25/2.43 # Training examples: 0 positive, 0 negative
% 0.25/2.43 # Parsed axioms : 95
% 0.25/2.43 # Removed by relevancy pruning/SinE : 21
% 0.25/2.43 # Initial clauses : 102
% 0.25/2.43 # Removed in clause preprocessing : 0
% 0.25/2.43 # Initial clauses in saturation : 102
% 0.25/2.43 # Processed clauses : 5862
% 0.25/2.43 # ...of these trivial : 625
% 0.25/2.43 # ...subsumed : 1702
% 0.25/2.43 # ...remaining for further processing : 3535
% 0.25/2.43 # Other redundant clauses eliminated : 0
% 0.25/2.43 # Clauses deleted for lack of memory : 0
% 0.25/2.43 # Backward-subsumed : 253
% 0.25/2.43 # Backward-rewritten : 2828
% 0.25/2.43 # Generated clauses : 44524
% 0.25/2.43 # ...of the previous two non-trivial : 39930
% 0.25/2.43 # Contextual simplify-reflections : 81
% 0.25/2.43 # Paramodulations : 44524
% 0.25/2.43 # Factorizations : 0
% 0.25/2.43 # Equation resolutions : 0
% 0.25/2.43 # Current number of processed clauses : 454
% 0.25/2.43 # Positive orientable unit clauses : 155
% 0.25/2.43 # Positive unorientable unit clauses: 0
% 0.25/2.43 # Negative unit clauses : 0
% 0.25/2.43 # Non-unit-clauses : 299
% 0.25/2.43 # Current number of unprocessed clauses: 2016
% 0.25/2.43 # ...number of literals in the above : 5813
% 0.25/2.43 # Current number of archived formulas : 0
% 0.25/2.43 # Current number of archived clauses : 3081
% 0.25/2.43 # Clause-clause subsumption calls (NU) : 898921
% 0.25/2.43 # Rec. Clause-clause subsumption calls : 685681
% 0.25/2.43 # Non-unit clause-clause subsumptions : 1867
% 0.25/2.43 # Unit Clause-clause subsumption calls : 147285
% 0.25/2.43 # Rewrite failures with RHS unbound : 0
% 0.25/2.43 # BW rewrite match attempts : 43168
% 0.25/2.43 # BW rewrite match successes : 2101
% 0.25/2.43 # Condensation attempts : 0
% 0.25/2.43 # Condensation successes : 0
% 0.25/2.43 # Termbank termtop insertions : 632517
% 0.25/2.43
% 0.25/2.43 # -------------------------------------------------
% 0.25/2.43 # User time : 1.107 s
% 0.25/2.43 # System time : 0.015 s
% 0.25/2.43 # Total time : 1.122 s
% 0.25/2.43 # Maximum resident set size: 27412 pages
% 0.25/23.42 eprover: CPU time limit exceeded, terminating
% 0.25/23.42 eprover: CPU time limit exceeded, terminating
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.50 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.50 eprover: No such file or directory
% 0.25/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.51 eprover: No such file or directory
% 0.25/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.51 eprover: No such file or directory
%------------------------------------------------------------------------------