TSTP Solution File: GEO569+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO569+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n004.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 04:06:24 EDT 2022
% Result : Theorem 0.23s 1.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 33
% Syntax : Number of formulae : 216 ( 78 unt; 0 def)
% Number of atoms : 447 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 389 ( 158 ~; 153 |; 44 &)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 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; 0-6 aty)
% Number of variables : 608 ( 52 sgn 318 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL214031,conjecture,
! [X1,X2,X3,X8,X19,X20,X9,X10] :
( ( circle(X8,X1,X2,X3)
& midp(X19,X2,X1)
& midp(X20,X3,X1)
& coll(X9,X8,X19)
& coll(X9,X1,X3)
& coll(X10,X8,X20)
& coll(X10,X1,X2) )
=> cyclic(X10,X2,X3,X9) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',exemplo6GDDFULL214031) ).
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(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(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(ruleD69,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
fof(ruleD9,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( perp(X1,X2,X3,X4)
& perp(X3,X4,X5,X6) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/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(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(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(ruleX6,axiom,
! [X1,X2,X3,X4,X7,X17] :
? [X9] :
( ( midp(X7,X1,X2)
& midp(X17,X3,X4) )
=> ( midp(X9,X1,X4)
& para(X9,X7,X2,X4)
& para(X9,X17,X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
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(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(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(c_0_33,negated_conjecture,
~ ! [X1,X2,X3,X8,X19,X20,X9,X10] :
( ( circle(X8,X1,X2,X3)
& midp(X19,X2,X1)
& midp(X20,X3,X1)
& coll(X9,X8,X19)
& coll(X9,X1,X3)
& coll(X10,X8,X20)
& coll(X10,X1,X2) )
=> cyclic(X10,X2,X3,X9) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL214031]) ).
fof(c_0_34,plain,
! [X4,X5,X6] :
( ~ coll(X4,X5,X6)
| coll(X4,X6,X5) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
fof(c_0_35,negated_conjecture,
( circle(esk4_0,esk1_0,esk2_0,esk3_0)
& midp(esk5_0,esk2_0,esk1_0)
& midp(esk6_0,esk3_0,esk1_0)
& coll(esk7_0,esk4_0,esk5_0)
& coll(esk7_0,esk1_0,esk3_0)
& coll(esk8_0,esk4_0,esk6_0)
& coll(esk8_0,esk1_0,esk2_0)
& ~ cyclic(esk8_0,esk2_0,esk3_0,esk7_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
fof(c_0_36,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])]) ).
fof(c_0_37,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_38,plain,
( coll(X1,X2,X3)
| ~ coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_39,negated_conjecture,
coll(esk8_0,esk4_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_40,plain,
( coll(X1,X2,X3)
| ~ coll(X3,X4,X2)
| ~ coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_41,plain,
! [X4,X5,X6] :
( ~ midp(X4,X5,X6)
| coll(X4,X5,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).
cnf(c_0_42,plain,
( coll(X1,X2,X3)
| ~ coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_43,negated_conjecture,
coll(esk8_0,esk6_0,esk4_0),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,negated_conjecture,
( coll(X1,esk6_0,esk8_0)
| ~ coll(esk8_0,esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_39]) ).
cnf(c_0_45,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_46,negated_conjecture,
midp(esk6_0,esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_47,negated_conjecture,
coll(esk6_0,esk8_0,esk4_0),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,negated_conjecture,
coll(esk6_0,esk6_0,esk8_0),
inference(spm,[status(thm)],[c_0_44,c_0_39]) ).
cnf(c_0_49,negated_conjecture,
coll(esk6_0,esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
fof(c_0_50,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_51,plain,
! [X10,X11,X12,X13] :
( ~ circle(X13,X10,X11,X12)
| perp(esk25_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_52,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_53,negated_conjecture,
( coll(X1,esk4_0,esk6_0)
| ~ coll(esk6_0,esk8_0,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_47]) ).
cnf(c_0_54,negated_conjecture,
coll(esk6_0,esk8_0,esk6_0),
inference(spm,[status(thm)],[c_0_38,c_0_48]) ).
cnf(c_0_55,negated_conjecture,
coll(esk3_0,esk6_0,esk1_0),
inference(spm,[status(thm)],[c_0_42,c_0_49]) ).
cnf(c_0_56,plain,
( para(X1,X2,X3,X4)
| ~ perp(X5,X6,X3,X4)
| ~ perp(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_57,plain,
( perp(esk25_4(X1,X2,X3,X4),X1,X1,X4)
| ~ circle(X4,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_58,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
fof(c_0_59,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_60,negated_conjecture,
coll(esk6_0,esk4_0,esk6_0),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_61,negated_conjecture,
coll(esk3_0,esk1_0,esk6_0),
inference(spm,[status(thm)],[c_0_38,c_0_55]) ).
fof(c_0_62,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])])])]) ).
fof(c_0_63,plain,
! [X18,X19,X20,X21,X22,X23] :
( ( midp(esk21_6(X18,X19,X20,X21,X22,X23),X18,X21)
| ~ midp(X22,X18,X19)
| ~ midp(X23,X20,X21) )
& ( para(esk21_6(X18,X19,X20,X21,X22,X23),X22,X19,X21)
| ~ midp(X22,X18,X19)
| ~ midp(X23,X20,X21) )
& ( para(esk21_6(X18,X19,X20,X21,X22,X23),X23,X18,X20)
| ~ midp(X22,X18,X19)
| ~ midp(X23,X20,X21) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX6])])])])]) ).
cnf(c_0_64,plain,
( para(X1,X2,X3,X4)
| ~ circle(X4,X3,X5,X6)
| ~ perp(X1,X2,esk25_4(X3,X5,X6,X4),X3) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_65,plain,
( perp(X1,X2,esk25_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_58,c_0_57]) ).
fof(c_0_66,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_67,plain,
( perp(X1,X2,X2,X3)
| ~ coll(X4,X1,X3)
| ~ circle(X4,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_68,negated_conjecture,
circle(esk4_0,esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_69,negated_conjecture,
coll(esk6_0,esk6_0,esk4_0),
inference(spm,[status(thm)],[c_0_38,c_0_60]) ).
cnf(c_0_70,negated_conjecture,
( coll(X1,esk6_0,esk3_0)
| ~ coll(esk3_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_61]) ).
cnf(c_0_71,plain,
( para(X1,X2,X3,X4)
| ~ midp(X5,X2,X4)
| ~ midp(X5,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_72,plain,
( midp(esk21_6(X5,X6,X2,X3,X4,X1),X5,X3)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
fof(c_0_73,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_74,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_75,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_76,negated_conjecture,
( perp(esk1_0,esk2_0,esk2_0,esk3_0)
| ~ coll(esk4_0,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_77,negated_conjecture,
( coll(X1,esk4_0,esk6_0)
| ~ coll(esk6_0,esk6_0,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_69]) ).
cnf(c_0_78,negated_conjecture,
coll(esk6_0,esk6_0,esk3_0),
inference(spm,[status(thm)],[c_0_70,c_0_61]) ).
cnf(c_0_79,plain,
( para(X1,X2,X3,X4)
| ~ midp(esk21_6(X2,X5,X6,X4,X7,X8),X1,X3)
| ~ midp(X7,X2,X5)
| ~ midp(X8,X6,X4) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
fof(c_0_80,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_81,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_82,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| ~ para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_83,negated_conjecture,
para(esk1_0,esk4_0,esk1_0,esk4_0),
inference(spm,[status(thm)],[c_0_74,c_0_68]) ).
cnf(c_0_84,negated_conjecture,
( perp(esk1_0,esk2_0,esk3_0,esk2_0)
| ~ coll(esk4_0,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_85,negated_conjecture,
coll(esk3_0,esk4_0,esk6_0),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
fof(c_0_86,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_87,plain,
( para(X1,X1,X2,X2)
| ~ midp(X3,X1,X4)
| ~ midp(X5,X6,X2) ),
inference(spm,[status(thm)],[c_0_79,c_0_72]) ).
cnf(c_0_88,negated_conjecture,
midp(esk5_0,esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_89,plain,
( midp(X1,X2,X3)
| ~ midp(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
fof(c_0_90,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_91,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_81]) ).
cnf(c_0_92,negated_conjecture,
eqangle(esk1_0,esk4_0,X1,X2,esk1_0,esk4_0,X1,X2),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_93,negated_conjecture,
( perp(esk3_0,esk2_0,esk1_0,esk2_0)
| ~ coll(esk4_0,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_84]) ).
cnf(c_0_94,negated_conjecture,
( coll(X1,esk1_0,esk3_0)
| ~ coll(esk3_0,esk6_0,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_55]) ).
cnf(c_0_95,negated_conjecture,
coll(esk3_0,esk6_0,esk4_0),
inference(spm,[status(thm)],[c_0_38,c_0_85]) ).
cnf(c_0_96,plain,
( para(X1,X2,X3,X4)
| ~ para(X5,X6,X3,X4)
| ~ para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_97,negated_conjecture,
( para(X1,esk3_0,X2,esk1_0)
| ~ midp(esk6_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_46]) ).
cnf(c_0_98,negated_conjecture,
( para(esk2_0,esk2_0,X1,X1)
| ~ midp(X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_99,negated_conjecture,
midp(esk6_0,esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_89,c_0_46]) ).
fof(c_0_100,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_101,plain,
( para(X1,X2,X3,X4)
| ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_102,negated_conjecture,
eqangle(X1,X2,esk1_0,esk4_0,X1,X2,esk1_0,esk4_0),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
fof(c_0_103,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_104,negated_conjecture,
( perp(esk3_0,esk2_0,esk2_0,esk1_0)
| ~ coll(esk4_0,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_75,c_0_93]) ).
cnf(c_0_105,negated_conjecture,
coll(esk4_0,esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
fof(c_0_106,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_107,negated_conjecture,
( para(X1,X2,X3,esk1_0)
| ~ midp(esk6_0,X4,X3)
| ~ para(X1,X2,X4,esk3_0) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_108,negated_conjecture,
para(esk2_0,esk2_0,esk3_0,esk3_0),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_109,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_110,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_111,plain,
( cong(X1,X2,X3,X2)
| ~ midp(X2,X1,X4)
| ~ perp(X1,X3,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_112,negated_conjecture,
perp(esk3_0,esk2_0,esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_105])]) ).
fof(c_0_113,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_114,plain,
( para(X1,X2,X3,X4)
| ~ para(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_115,negated_conjecture,
( para(esk2_0,esk2_0,X1,esk1_0)
| ~ midp(esk6_0,esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_116,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
fof(c_0_117,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_118,negated_conjecture,
( cong(esk3_0,X1,esk2_0,X1)
| ~ midp(X1,esk3_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
fof(c_0_119,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_120,plain,
( para(X1,X2,X3,X4)
| ~ para(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_121,negated_conjecture,
( para(esk2_0,esk2_0,esk1_0,X1)
| ~ midp(esk6_0,esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
fof(c_0_122,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_123,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_42,c_0_116]) ).
fof(c_0_124,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_125,plain,
( cong(X1,X2,X3,X4)
| ~ cong(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_126,negated_conjecture,
cong(esk3_0,esk6_0,esk2_0,esk6_0),
inference(spm,[status(thm)],[c_0_118,c_0_46]) ).
cnf(c_0_127,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_119]) ).
cnf(c_0_128,negated_conjecture,
( para(esk1_0,X1,esk2_0,esk2_0)
| ~ midp(esk6_0,esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_129,plain,
( midp(X1,X2,X3)
| ~ coll(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_130,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_38,c_0_123]) ).
cnf(c_0_131,plain,
( cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_132,negated_conjecture,
cong(esk3_0,esk6_0,esk6_0,esk2_0),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_133,negated_conjecture,
( midp(X1,esk2_0,X2)
| ~ midp(X1,esk1_0,esk2_0)
| ~ midp(esk6_0,esk3_0,X2)
| ~ para(esk1_0,esk2_0,esk2_0,X2) ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_134,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X3,X1,X2)
| ~ coll(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_89,c_0_129]) ).
cnf(c_0_135,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_130]),c_0_130])]) ).
cnf(c_0_136,negated_conjecture,
cong(esk6_0,esk2_0,esk3_0,esk6_0),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_137,negated_conjecture,
( perp(esk2_0,esk3_0,esk1_0,esk2_0)
| ~ coll(esk4_0,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_76]) ).
cnf(c_0_138,negated_conjecture,
( midp(X1,esk2_0,esk2_0)
| ~ midp(esk6_0,esk3_0,esk2_0)
| ~ midp(X1,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_133,c_0_128]) ).
cnf(c_0_139,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X3,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_134,c_0_135])]) ).
cnf(c_0_140,negated_conjecture,
cong(esk6_0,esk2_0,esk6_0,esk3_0),
inference(spm,[status(thm)],[c_0_125,c_0_136]) ).
cnf(c_0_141,negated_conjecture,
coll(esk7_0,esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_142,negated_conjecture,
( perp(esk2_0,esk3_0,esk2_0,esk1_0)
| ~ coll(esk4_0,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_75,c_0_137]) ).
cnf(c_0_143,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_138,c_0_139]),c_0_140])]) ).
cnf(c_0_144,negated_conjecture,
midp(esk5_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_89,c_0_88]) ).
cnf(c_0_145,negated_conjecture,
coll(esk1_0,esk7_0,esk3_0),
inference(spm,[status(thm)],[c_0_42,c_0_141]) ).
fof(c_0_146,plain,
! [X15,X16,X17,X18] :
( ( coll(esk16_3(X15,X16,X17),X17,X16)
| ~ perp(X15,X18,X16,X17)
| ~ perp(X16,X18,X15,X17) )
& ( perp(X15,esk16_3(X15,X16,X17),X17,X16)
| ~ perp(X15,X18,X16,X17)
| ~ perp(X16,X18,X15,X17) )
& ( coll(esk17_3(X15,X16,X17),X17,X15)
| ~ perp(X15,X18,X16,X17)
| ~ perp(X16,X18,X15,X17) )
& ( perp(X16,esk17_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_147,negated_conjecture,
( perp(esk2_0,esk1_0,esk2_0,esk3_0)
| ~ coll(esk4_0,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_142]) ).
fof(c_0_148,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_149,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_110]),c_0_110])]) ).
cnf(c_0_150,negated_conjecture,
midp(esk5_0,esk2_0,esk2_0),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_151,negated_conjecture,
coll(esk1_0,esk3_0,esk7_0),
inference(spm,[status(thm)],[c_0_38,c_0_145]) ).
cnf(c_0_152,negated_conjecture,
coll(esk4_0,esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_38,c_0_105]) ).
cnf(c_0_153,plain,
( perp(X3,esk16_3(X3,X1,X4),X4,X1)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X2,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_154,negated_conjecture,
perp(esk2_0,esk1_0,esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_105])]) ).
fof(c_0_155,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_156,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_148]) ).
cnf(c_0_157,negated_conjecture,
midp(esk5_0,X1,X1),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_158,negated_conjecture,
coll(esk3_0,esk1_0,esk7_0),
inference(spm,[status(thm)],[c_0_42,c_0_151]) ).
cnf(c_0_159,negated_conjecture,
coll(esk3_0,esk4_0,esk1_0),
inference(spm,[status(thm)],[c_0_42,c_0_152]) ).
cnf(c_0_160,negated_conjecture,
perp(esk2_0,esk16_3(esk2_0,esk2_0,esk3_0),esk3_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_154])]) ).
cnf(c_0_161,plain,
( perp(X1,X2,X3,X4)
| ~ cong(X1,X4,X2,X4)
| ~ cong(X1,X3,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
cnf(c_0_162,negated_conjecture,
cong(esk5_0,X1,esk5_0,X1),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_163,negated_conjecture,
( coll(X1,esk7_0,esk3_0)
| ~ coll(esk3_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_158]) ).
cnf(c_0_164,negated_conjecture,
coll(esk3_0,esk1_0,esk4_0),
inference(spm,[status(thm)],[c_0_38,c_0_159]) ).
cnf(c_0_165,negated_conjecture,
( para(X1,X2,esk3_0,esk2_0)
| ~ perp(X1,X2,esk2_0,esk16_3(esk2_0,esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_56,c_0_160]) ).
cnf(c_0_166,negated_conjecture,
perp(esk5_0,esk5_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_162])]) ).
cnf(c_0_167,negated_conjecture,
coll(esk7_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_168,negated_conjecture,
coll(esk4_0,esk7_0,esk3_0),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
fof(c_0_169,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_170,negated_conjecture,
para(esk5_0,esk5_0,esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_171,negated_conjecture,
coll(esk7_0,esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_38,c_0_141]) ).
cnf(c_0_172,negated_conjecture,
( coll(X1,esk5_0,esk7_0)
| ~ coll(esk7_0,esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_167]) ).
cnf(c_0_173,negated_conjecture,
coll(esk7_0,esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_42,c_0_168]) ).
cnf(c_0_174,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X5,X6,X3,X4)
| ~ para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_169]) ).
cnf(c_0_175,negated_conjecture,
para(esk3_0,esk2_0,esk5_0,esk5_0),
inference(spm,[status(thm)],[c_0_120,c_0_170]) ).
cnf(c_0_176,negated_conjecture,
coll(esk5_0,esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_45,c_0_88]) ).
cnf(c_0_177,negated_conjecture,
coll(esk3_0,esk7_0,esk1_0),
inference(spm,[status(thm)],[c_0_42,c_0_171]) ).
cnf(c_0_178,negated_conjecture,
coll(esk3_0,esk5_0,esk7_0),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_179,negated_conjecture,
perp(esk3_0,esk2_0,esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_105])]) ).
cnf(c_0_180,negated_conjecture,
perp(esk3_0,esk2_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_166])]) ).
cnf(c_0_181,negated_conjecture,
coll(esk5_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_38,c_0_176]) ).
cnf(c_0_182,negated_conjecture,
( coll(X1,esk1_0,esk3_0)
| ~ coll(esk3_0,esk7_0,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_177]) ).
cnf(c_0_183,negated_conjecture,
coll(esk3_0,esk7_0,esk5_0),
inference(spm,[status(thm)],[c_0_38,c_0_178]) ).
cnf(c_0_184,negated_conjecture,
( para(X1,X2,esk1_0,esk2_0)
| ~ perp(X1,X2,esk3_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_56,c_0_179]) ).
cnf(c_0_185,negated_conjecture,
perp(X1,X2,esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_58,c_0_180]) ).
cnf(c_0_186,negated_conjecture,
( coll(X1,esk2_0,esk5_0)
| ~ coll(esk5_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_181]) ).
cnf(c_0_187,negated_conjecture,
coll(esk5_0,esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_188,negated_conjecture,
para(X1,X2,esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_184,c_0_185])]) ).
cnf(c_0_189,negated_conjecture,
coll(esk3_0,esk2_0,esk5_0),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_190,negated_conjecture,
para(esk1_0,esk2_0,X1,X2),
inference(spm,[status(thm)],[c_0_120,c_0_188]) ).
fof(c_0_191,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])]) ).
fof(c_0_192,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])]) ).
cnf(c_0_193,negated_conjecture,
coll(esk2_0,esk5_0,esk1_0),
inference(spm,[status(thm)],[c_0_42,c_0_176]) ).
cnf(c_0_194,negated_conjecture,
coll(esk2_0,esk3_0,esk5_0),
inference(spm,[status(thm)],[c_0_42,c_0_189]) ).
cnf(c_0_195,negated_conjecture,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_190]),c_0_188])]) ).
cnf(c_0_196,plain,
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_191]) ).
cnf(c_0_197,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_192]) ).
cnf(c_0_198,negated_conjecture,
( coll(X1,esk1_0,esk2_0)
| ~ coll(esk2_0,esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_193]) ).
cnf(c_0_199,negated_conjecture,
coll(esk2_0,esk5_0,esk3_0),
inference(spm,[status(thm)],[c_0_38,c_0_194]) ).
fof(c_0_200,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_201,plain,
eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_195])]) ).
cnf(c_0_202,negated_conjecture,
~ cyclic(esk8_0,esk2_0,esk3_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_203,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_196,c_0_197]) ).
cnf(c_0_204,negated_conjecture,
coll(esk3_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_198,c_0_199]) ).
fof(c_0_205,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_206,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_200]) ).
cnf(c_0_207,plain,
eqangle(X1,X2,X3,X4,X1,X2,X5,X6),
inference(spm,[status(thm)],[c_0_91,c_0_201]) ).
cnf(c_0_208,negated_conjecture,
( ~ eqangle(esk2_0,esk8_0,esk2_0,esk3_0,esk7_0,esk8_0,esk7_0,esk3_0)
| ~ coll(esk2_0,esk7_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_202,c_0_203]) ).
cnf(c_0_209,negated_conjecture,
coll(esk2_0,esk7_0,esk3_0),
inference(spm,[status(thm)],[c_0_163,c_0_204]) ).
cnf(c_0_210,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_205]) ).
cnf(c_0_211,plain,
eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
inference(spm,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_212,plain,
eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
inference(spm,[status(thm)],[c_0_206,c_0_201]) ).
cnf(c_0_213,negated_conjecture,
~ eqangle(esk2_0,esk8_0,esk2_0,esk3_0,esk7_0,esk8_0,esk7_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_208,c_0_209])]) ).
cnf(c_0_214,plain,
eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_212])]) ).
cnf(c_0_215,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_213,c_0_214])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO569+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 16:46:23 EDT 2022
% 0.13/0.34 % 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 : 216
% 0.23/1.42 # Proof object clause steps : 149
% 0.23/1.42 # Proof object formula steps : 67
% 0.23/1.42 # Proof object conjectures : 107
% 0.23/1.42 # Proof object clause conjectures : 104
% 0.23/1.42 # Proof object formula conjectures : 3
% 0.23/1.42 # Proof object initial clauses used : 39
% 0.23/1.42 # Proof object initial formulas used : 33
% 0.23/1.42 # Proof object generating inferences : 102
% 0.23/1.42 # Proof object simplifying inferences : 32
% 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 : 100
% 0.23/1.42 # Removed in clause preprocessing : 0
% 0.23/1.42 # Initial clauses in saturation : 100
% 0.23/1.42 # Processed clauses : 4742
% 0.23/1.42 # ...of these trivial : 455
% 0.23/1.42 # ...subsumed : 1069
% 0.23/1.42 # ...remaining for further processing : 3218
% 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 : 385
% 0.23/1.42 # Backward-rewritten : 2360
% 0.23/1.42 # Generated clauses : 39760
% 0.23/1.42 # ...of the previous two non-trivial : 35076
% 0.23/1.42 # Contextual simplify-reflections : 136
% 0.23/1.42 # Paramodulations : 39760
% 0.23/1.42 # Factorizations : 0
% 0.23/1.42 # Equation resolutions : 0
% 0.23/1.42 # Current number of processed clauses : 473
% 0.23/1.42 # Positive orientable unit clauses : 131
% 0.23/1.42 # Positive unorientable unit clauses: 0
% 0.23/1.42 # Negative unit clauses : 1
% 0.23/1.42 # Non-unit-clauses : 341
% 0.23/1.42 # Current number of unprocessed clauses: 1653
% 0.23/1.42 # ...number of literals in the above : 5440
% 0.23/1.42 # Current number of archived formulas : 0
% 0.23/1.42 # Current number of archived clauses : 2745
% 0.23/1.42 # Clause-clause subsumption calls (NU) : 710348
% 0.23/1.42 # Rec. Clause-clause subsumption calls : 460098
% 0.23/1.42 # Non-unit clause-clause subsumptions : 1370
% 0.23/1.42 # Unit Clause-clause subsumption calls : 142600
% 0.23/1.42 # Rewrite failures with RHS unbound : 0
% 0.23/1.42 # BW rewrite match attempts : 31061
% 0.23/1.42 # BW rewrite match successes : 1974
% 0.23/1.42 # Condensation attempts : 0
% 0.23/1.42 # Condensation successes : 0
% 0.23/1.42 # Termbank termtop insertions : 558988
% 0.23/1.42
% 0.23/1.42 # -------------------------------------------------
% 0.23/1.42 # User time : 0.963 s
% 0.23/1.42 # System time : 0.012 s
% 0.23/1.42 # Total time : 0.975 s
% 0.23/1.42 # Maximum resident set size: 24776 pages
% 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
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: CPU time limit exceeded, terminating
% 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
% 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.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.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.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.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------