TSTP Solution File: GEO573+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO573+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 04:06:25 EDT 2022
% Result : Theorem 0.23s 4.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 64
% Number of leaves : 44
% Syntax : Number of formulae : 391 ( 132 unt; 0 def)
% Number of atoms : 830 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 772 ( 333 ~; 330 |; 64 &)
% ( 0 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-6 aty)
% Number of variables : 1084 ( 86 sgn 448 !; 6 ?)
% 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(exemplo6GDDFULL214035,conjecture,
! [X1,X2,X3,X8,X4,X5,X19,X14,X20] :
( ( circle(X8,X1,X2,X3)
& perp(X4,X3,X1,X2)
& coll(X4,X1,X2)
& perp(X5,X2,X1,X3)
& coll(X5,X1,X3)
& circle(X8,X3,X19,X20)
& coll(X19,X3,X4)
& coll(X14,X3,X4)
& coll(X14,X2,X5) )
=> cong(X1,X19,X1,X14) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',exemplo6GDDFULL214035) ).
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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(ruleX17,axiom,
! [X1,X2,X8] :
? [X3] :
( ( cong(X8,X1,X8,X2)
& perp(X1,X8,X8,X2) )
=> ( coll(X1,X8,X3)
& cong(X8,X1,X8,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX17) ).
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(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(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(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(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(ruleD16,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X2,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
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(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(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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(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_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(esk20_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,X14,X20] :
( ( circle(X8,X1,X2,X3)
& perp(X4,X3,X1,X2)
& coll(X4,X1,X2)
& perp(X5,X2,X1,X3)
& coll(X5,X1,X3)
& circle(X8,X3,X19,X20)
& coll(X19,X3,X4)
& coll(X14,X3,X4)
& coll(X14,X2,X5) )
=> cong(X1,X19,X1,X14) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL214035]) ).
cnf(c_0_51,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_47,c_0_48]) ).
cnf(c_0_52,plain,
( perp(X1,X2,esk20_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)
& perp(esk5_0,esk3_0,esk1_0,esk2_0)
& coll(esk5_0,esk1_0,esk2_0)
& perp(esk6_0,esk2_0,esk1_0,esk3_0)
& coll(esk6_0,esk1_0,esk3_0)
& circle(esk4_0,esk3_0,esk7_0,esk9_0)
& coll(esk7_0,esk3_0,esk5_0)
& coll(esk8_0,esk3_0,esk5_0)
& coll(esk8_0,esk2_0,esk6_0)
& ~ cong(esk1_0,esk7_0,esk1_0,esk8_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(esk4_0,esk3_0,esk7_0,esk9_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(esk3_0,esk4_0,esk3_0,esk4_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(esk3_0,esk4_0,X1,X2,esk3_0,esk4_0,X1,X2),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
fof(c_0_63,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_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,esk3_0,esk4_0,X1,X2,esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
fof(c_0_66,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])]) ).
fof(c_0_67,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_68,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_69,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_70,plain,
( para(X1,X2,X3,X4)
| ~ para(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
fof(c_0_71,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_72,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_73,plain,
( coll(X1,X2,X3)
| ~ coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_74,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
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,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_70,c_0_69]) ).
cnf(c_0_77,plain,
( coll(X1,X2,X3)
| ~ coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_78,negated_conjecture,
coll(esk6_0,esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_79,plain,
( coll(X1,X2,X3)
| ~ coll(X3,X4,X2)
| ~ coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
fof(c_0_80,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])]) ).
fof(c_0_81,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_82,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_83,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
fof(c_0_84,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_85,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_86,negated_conjecture,
eqangle(X1,X2,X3,X4,X2,X1,X3,X4),
inference(spm,[status(thm)],[c_0_58,c_0_76]) ).
fof(c_0_87,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])]) ).
cnf(c_0_88,negated_conjecture,
coll(esk6_0,esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_89,negated_conjecture,
( coll(X1,esk3_0,esk6_0)
| ~ coll(esk6_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_78]) ).
cnf(c_0_90,plain,
( para(X1,X2,X3,X4)
| ~ para(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_91,negated_conjecture,
para(esk3_0,esk4_0,esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_70,c_0_59]) ).
cnf(c_0_92,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_81]) ).
cnf(c_0_93,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_82]) ).
cnf(c_0_94,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_77,c_0_83]) ).
fof(c_0_95,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_96,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_84]) ).
cnf(c_0_97,negated_conjecture,
eqangle(X1,X2,X2,X1,X3,X4,X3,X4),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_98,plain,
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_99,negated_conjecture,
coll(esk3_0,esk6_0,esk1_0),
inference(spm,[status(thm)],[c_0_73,c_0_88]) ).
cnf(c_0_100,negated_conjecture,
coll(esk3_0,esk3_0,esk6_0),
inference(spm,[status(thm)],[c_0_89,c_0_78]) ).
cnf(c_0_101,negated_conjecture,
para(esk4_0,esk3_0,esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_102,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_92,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_79,c_0_94]),c_0_94])]) ).
fof(c_0_104,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_105,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_95]) ).
cnf(c_0_106,negated_conjecture,
eqangle(X1,X2,X1,X2,X3,X4,X4,X3),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_107,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_98,c_0_93]) ).
cnf(c_0_108,negated_conjecture,
eqangle(X1,X2,X3,X4,X1,X2,X3,X4),
inference(spm,[status(thm)],[c_0_58,c_0_69]) ).
cnf(c_0_109,negated_conjecture,
( coll(X1,esk1_0,esk3_0)
| ~ coll(esk3_0,esk6_0,X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_99]) ).
cnf(c_0_110,negated_conjecture,
coll(esk3_0,esk6_0,esk3_0),
inference(spm,[status(thm)],[c_0_77,c_0_100]) ).
cnf(c_0_111,negated_conjecture,
para(esk4_0,esk3_0,esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_70,c_0_101]) ).
fof(c_0_112,plain,
! [X9,X10,X11,X12] :
( ~ perp(X9,X11,X11,X10)
| ~ cyclic(X9,X10,X11,X12)
| circle(esk24_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_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,
( 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_102,c_0_103])]) ).
cnf(c_0_115,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_116,negated_conjecture,
( cong(X1,X1,X2,X2)
| ~ cyclic(X1,X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_117,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_107,c_0_103])]) ).
cnf(c_0_118,negated_conjecture,
eqangle(X1,X2,X1,X2,X3,X4,X3,X4),
inference(spm,[status(thm)],[c_0_85,c_0_108]) ).
cnf(c_0_119,negated_conjecture,
perp(esk5_0,esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
fof(c_0_120,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_121,negated_conjecture,
coll(esk3_0,esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_122,negated_conjecture,
coll(esk4_0,esk3_0,esk3_0),
inference(spm,[status(thm)],[c_0_68,c_0_111]) ).
cnf(c_0_123,plain,
( circle(esk24_3(X1,X2,X3),X1,X2,X3)
| ~ cyclic(X1,X2,X3,X4)
| ~ perp(X1,X3,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_124,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_125,plain,
( perp(X1,X1,X1,X1)
| ~ cong(X1,X1,X1,X1) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_126,negated_conjecture,
cong(X1,X1,X2,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118])]) ).
fof(c_0_127,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_128,negated_conjecture,
perp(esk6_0,esk2_0,esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_129,negated_conjecture,
perp(esk1_0,esk2_0,esk5_0,esk3_0),
inference(spm,[status(thm)],[c_0_49,c_0_119]) ).
cnf(c_0_130,plain,
( perp(X1,X2,X2,X3)
| ~ coll(X4,X1,X3)
| ~ circle(X4,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_131,negated_conjecture,
circle(esk4_0,esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_132,negated_conjecture,
coll(esk3_0,esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_77,c_0_121]) ).
cnf(c_0_133,negated_conjecture,
coll(esk3_0,esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_73,c_0_122]) ).
cnf(c_0_134,plain,
( circle(esk24_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_123,c_0_93]) ).
cnf(c_0_135,negated_conjecture,
( perp(X1,X2,X2,X1)
| ~ perp(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_124,c_0_97]) ).
cnf(c_0_136,plain,
perp(X1,X1,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_126])]) ).
cnf(c_0_137,plain,
( para(X1,X2,X3,X4)
| ~ para(X5,X6,X3,X4)
| ~ para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_138,negated_conjecture,
( para(X1,X2,esk1_0,esk3_0)
| ~ perp(X1,X2,esk6_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_128]) ).
cnf(c_0_139,negated_conjecture,
( para(X1,X2,esk5_0,esk3_0)
| ~ perp(X1,X2,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_129]) ).
cnf(c_0_140,negated_conjecture,
( perp(esk1_0,esk2_0,esk2_0,esk3_0)
| ~ coll(esk4_0,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_141,negated_conjecture,
( coll(X1,esk1_0,esk3_0)
| ~ coll(esk3_0,esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_132]) ).
cnf(c_0_142,negated_conjecture,
coll(esk3_0,esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_77,c_0_133]) ).
cnf(c_0_143,plain,
( circle(esk24_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_134,c_0_103])]) ).
cnf(c_0_144,negated_conjecture,
perp(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
fof(c_0_145,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_146,negated_conjecture,
( para(X1,X2,esk1_0,esk3_0)
| ~ perp(X3,X4,esk6_0,esk2_0)
| ~ para(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_147,negated_conjecture,
( para(esk5_0,esk3_0,X1,X2)
| ~ perp(X1,X2,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_139]) ).
cnf(c_0_148,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_140]) ).
cnf(c_0_149,negated_conjecture,
coll(esk4_0,esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
fof(c_0_150,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_151,plain,
( perp(X1,X2,X2,X3)
| ~ circle(X4,X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_103])]) ).
cnf(c_0_152,negated_conjecture,
circle(esk24_3(X1,X1,X2),X1,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_118]),c_0_144])]) ).
cnf(c_0_153,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_145]) ).
cnf(c_0_154,negated_conjecture,
( para(esk5_0,esk3_0,esk1_0,esk3_0)
| ~ perp(X1,X2,esk6_0,esk2_0)
| ~ perp(X1,X2,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_155,negated_conjecture,
perp(esk2_0,esk3_0,esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_149])]) ).
cnf(c_0_156,negated_conjecture,
perp(esk1_0,esk3_0,esk6_0,esk2_0),
inference(spm,[status(thm)],[c_0_49,c_0_128]) ).
cnf(c_0_157,negated_conjecture,
( para(esk5_0,esk3_0,X1,X2)
| ~ perp(X2,X1,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_147]) ).
cnf(c_0_158,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_150]) ).
cnf(c_0_159,negated_conjecture,
perp(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_160,negated_conjecture,
( para(X1,X2,X3,X4)
| ~ para(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_153,c_0_86]) ).
cnf(c_0_161,negated_conjecture,
( para(esk5_0,esk3_0,esk1_0,esk3_0)
| ~ perp(esk2_0,esk3_0,esk6_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_162,negated_conjecture,
( para(X1,X2,esk6_0,esk2_0)
| ~ perp(X1,X2,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_156]) ).
cnf(c_0_163,negated_conjecture,
( para(esk5_0,esk3_0,esk1_0,esk3_0)
| ~ perp(X1,X2,esk6_0,esk2_0)
| ~ perp(X2,X1,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_146,c_0_157]) ).
cnf(c_0_164,negated_conjecture,
perp(X1,X1,X2,X1),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_165,negated_conjecture,
( perp(X1,X2,X1,X2)
| ~ perp(X3,X4,X4,X3) ),
inference(spm,[status(thm)],[c_0_124,c_0_106]) ).
cnf(c_0_166,negated_conjecture,
( para(esk3_0,esk5_0,esk1_0,esk3_0)
| ~ perp(esk2_0,esk3_0,esk6_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_167,negated_conjecture,
( para(X1,X2,esk6_0,esk2_0)
| ~ perp(X3,X4,esk1_0,esk3_0)
| ~ para(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_137,c_0_162]) ).
cnf(c_0_168,negated_conjecture,
para(esk5_0,esk3_0,esk1_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_164])]) ).
cnf(c_0_169,negated_conjecture,
perp(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_144])]) ).
fof(c_0_170,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_171,negated_conjecture,
( eqangle(esk3_0,esk5_0,X1,X2,esk1_0,esk3_0,X1,X2)
| ~ perp(esk2_0,esk3_0,esk6_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_166]) ).
cnf(c_0_172,negated_conjecture,
para(esk5_0,esk3_0,esk6_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_169])]) ).
cnf(c_0_173,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X5,X6,X3,X4)
| ~ para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_170]) ).
cnf(c_0_174,negated_conjecture,
( para(X1,X2,esk1_0,esk2_0)
| ~ perp(X1,X2,esk5_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_119]) ).
fof(c_0_175,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_176,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_177,negated_conjecture,
( eqangle(esk3_0,esk5_0,esk1_0,esk3_0,X1,X2,X1,X2)
| ~ perp(esk2_0,esk3_0,esk6_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_85,c_0_171]) ).
cnf(c_0_178,negated_conjecture,
para(esk6_0,esk2_0,esk5_0,esk3_0),
inference(spm,[status(thm)],[c_0_90,c_0_172]) ).
cnf(c_0_179,negated_conjecture,
( perp(X1,X2,X3,X4)
| ~ perp(esk1_0,esk2_0,X3,X4)
| ~ perp(X1,X2,esk5_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_180,negated_conjecture,
perp(esk1_0,esk2_0,esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_149])]) ).
cnf(c_0_181,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_175]) ).
cnf(c_0_182,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_176]) ).
cnf(c_0_183,negated_conjecture,
eqangle(X1,X2,X3,X4,X1,X2,X4,X3),
inference(spm,[status(thm)],[c_0_61,c_0_86]) ).
cnf(c_0_184,negated_conjecture,
( perp(esk3_0,esk5_0,esk1_0,esk3_0)
| ~ perp(esk2_0,esk3_0,esk6_0,esk2_0)
| ~ perp(X1,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_124,c_0_177]) ).
cnf(c_0_185,negated_conjecture,
( perp(esk6_0,esk2_0,X1,X2)
| ~ perp(esk5_0,esk3_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_173,c_0_178]) ).
cnf(c_0_186,negated_conjecture,
( perp(X1,X2,esk2_0,esk3_0)
| ~ perp(X1,X2,esk5_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_187,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_181,c_0_131]) ).
cnf(c_0_188,negated_conjecture,
( perp(esk1_0,esk2_0,esk3_0,esk2_0)
| ~ coll(esk4_0,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_158,c_0_140]) ).
cnf(c_0_189,negated_conjecture,
eqangle(X1,X2,X3,X4,X2,X1,X4,X3),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_190,negated_conjecture,
( perp(esk3_0,esk5_0,esk1_0,esk3_0)
| ~ perp(esk2_0,esk3_0,esk6_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_184,c_0_136]) ).
cnf(c_0_191,negated_conjecture,
( para(esk6_0,esk2_0,X1,X2)
| ~ perp(X1,X2,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_162]) ).
cnf(c_0_192,negated_conjecture,
( perp(X1,X2,X3,X4)
| ~ perp(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_173,c_0_76]) ).
cnf(c_0_193,negated_conjecture,
perp(esk6_0,esk2_0,esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_169])]) ).
cnf(c_0_194,negated_conjecture,
( eqangle(X1,esk1_0,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_182,c_0_187]) ).
cnf(c_0_195,negated_conjecture,
perp(esk1_0,esk2_0,esk3_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_188,c_0_149])]) ).
cnf(c_0_196,negated_conjecture,
( perp(X1,X2,X3,X4)
| ~ perp(X2,X1,X4,X3) ),
inference(spm,[status(thm)],[c_0_124,c_0_189]) ).
cnf(c_0_197,negated_conjecture,
( perp(esk1_0,esk3_0,esk3_0,esk5_0)
| ~ perp(esk2_0,esk3_0,esk6_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_190]) ).
cnf(c_0_198,negated_conjecture,
( perp(esk6_0,esk2_0,X1,X2)
| ~ perp(X3,X4,esk1_0,esk3_0)
| ~ perp(X3,X4,X1,X2) ),
inference(spm,[status(thm)],[c_0_173,c_0_191]) ).
cnf(c_0_199,negated_conjecture,
( para(X1,X2,esk1_0,esk2_0)
| ~ perp(X3,X4,esk5_0,esk3_0)
| ~ para(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_137,c_0_174]) ).
cnf(c_0_200,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_188]) ).
cnf(c_0_201,negated_conjecture,
( perp(X1,X2,X3,X4)
| ~ perp(esk6_0,esk2_0,X3,X4)
| ~ perp(X1,X2,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_173,c_0_162]) ).
cnf(c_0_202,negated_conjecture,
perp(esk6_0,esk2_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_185,c_0_119]) ).
cnf(c_0_203,negated_conjecture,
( perp(esk5_0,esk3_0,esk1_0,esk3_0)
| ~ perp(esk2_0,esk3_0,esk6_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_192,c_0_190]) ).
cnf(c_0_204,negated_conjecture,
perp(esk2_0,esk3_0,esk6_0,esk2_0),
inference(spm,[status(thm)],[c_0_49,c_0_193]) ).
cnf(c_0_205,negated_conjecture,
( perp(X1,esk1_0,esk1_0,esk2_0)
| ~ perp(esk3_0,esk1_0,esk3_0,esk2_0)
| ~ perp(esk4_0,esk1_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_124,c_0_194]) ).
cnf(c_0_206,negated_conjecture,
( perp(X1,X2,esk3_0,esk2_0)
| ~ perp(X1,X2,esk5_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_179,c_0_195]) ).
cnf(c_0_207,negated_conjecture,
( perp(esk3_0,esk1_0,esk5_0,esk3_0)
| ~ perp(esk2_0,esk3_0,esk6_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_208,negated_conjecture,
( perp(X1,X2,X3,X4)
| ~ perp(esk1_0,esk3_0,X3,X4)
| ~ perp(X1,X2,esk6_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_173,c_0_138]) ).
cnf(c_0_209,negated_conjecture,
( perp(esk6_0,esk2_0,X1,X2)
| ~ perp(esk3_0,esk3_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_198,c_0_164]) ).
cnf(c_0_210,negated_conjecture,
( para(esk5_0,esk3_0,esk1_0,esk2_0)
| ~ perp(X1,X2,esk5_0,esk3_0)
| ~ perp(X1,X2,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_199,c_0_147]) ).
cnf(c_0_211,negated_conjecture,
perp(esk3_0,esk2_0,esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_200,c_0_149])]) ).
cnf(c_0_212,negated_conjecture,
( perp(esk5_0,esk3_0,X1,X2)
| ~ perp(X3,X4,esk1_0,esk2_0)
| ~ perp(X3,X4,X1,X2) ),
inference(spm,[status(thm)],[c_0_173,c_0_147]) ).
cnf(c_0_213,negated_conjecture,
( perp(X1,X2,esk1_0,esk2_0)
| ~ perp(X1,X2,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_214,negated_conjecture,
( perp(X1,X2,X3,X4)
| ~ perp(esk5_0,esk3_0,X3,X4)
| ~ perp(X1,X2,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_173,c_0_139]) ).
cnf(c_0_215,negated_conjecture,
perp(esk5_0,esk3_0,esk1_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_203,c_0_204])]) ).
cnf(c_0_216,negated_conjecture,
( perp(X1,esk1_0,esk1_0,esk2_0)
| ~ perp(esk3_0,esk1_0,esk5_0,esk3_0)
| ~ perp(esk4_0,esk1_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_217,negated_conjecture,
perp(esk3_0,esk1_0,esk5_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_207,c_0_204])]) ).
cnf(c_0_218,negated_conjecture,
( perp(X1,X2,esk1_0,esk3_0)
| ~ perp(X1,X2,esk6_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_208,c_0_169]) ).
cnf(c_0_219,negated_conjecture,
perp(esk6_0,esk2_0,esk3_0,X1),
inference(spm,[status(thm)],[c_0_209,c_0_159]) ).
cnf(c_0_220,negated_conjecture,
( para(esk5_0,esk3_0,esk1_0,esk2_0)
| ~ perp(esk3_0,esk2_0,esk5_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_210,c_0_211]) ).
cnf(c_0_221,negated_conjecture,
( perp(esk5_0,esk3_0,X1,X2)
| ~ perp(esk2_0,esk3_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_212,c_0_155]) ).
cnf(c_0_222,negated_conjecture,
perp(esk1_0,esk3_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_213,c_0_169]) ).
cnf(c_0_223,negated_conjecture,
( perp(X1,X2,esk1_0,esk3_0)
| ~ perp(X1,X2,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_214,c_0_215]) ).
cnf(c_0_224,negated_conjecture,
( perp(X1,esk1_0,esk1_0,esk2_0)
| ~ perp(esk4_0,esk1_0,esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_216,c_0_217])]) ).
cnf(c_0_225,negated_conjecture,
( perp(X1,X2,esk1_0,esk3_0)
| ~ perp(X2,X1,esk6_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_192,c_0_218]) ).
cnf(c_0_226,negated_conjecture,
perp(esk3_0,X1,esk6_0,esk2_0),
inference(spm,[status(thm)],[c_0_49,c_0_219]) ).
cnf(c_0_227,negated_conjecture,
( para(esk5_0,esk3_0,esk2_0,esk1_0)
| ~ perp(esk3_0,esk2_0,esk5_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_220]) ).
cnf(c_0_228,negated_conjecture,
perp(esk5_0,esk3_0,esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_221,c_0_144]) ).
fof(c_0_229,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_230,negated_conjecture,
perp(esk1_0,esk2_0,esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_49,c_0_222]) ).
fof(c_0_231,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_232,negated_conjecture,
( perp(X1,X2,esk1_0,esk3_0)
| ~ perp(X2,X1,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_192,c_0_223]) ).
cnf(c_0_233,negated_conjecture,
perp(esk4_0,esk1_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_224,c_0_144]) ).
cnf(c_0_234,negated_conjecture,
perp(X1,esk3_0,esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_225,c_0_226]) ).
fof(c_0_235,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_236,negated_conjecture,
perp(esk5_0,esk3_0,esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_158,c_0_119]) ).
cnf(c_0_237,negated_conjecture,
( para(X1,X2,esk2_0,esk3_0)
| ~ perp(X1,X2,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_180]) ).
cnf(c_0_238,negated_conjecture,
( para(esk2_0,esk1_0,esk5_0,esk3_0)
| ~ perp(esk3_0,esk2_0,esk5_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_227]) ).
cnf(c_0_239,negated_conjecture,
perp(esk3_0,esk2_0,esk5_0,esk3_0),
inference(spm,[status(thm)],[c_0_49,c_0_228]) ).
cnf(c_0_240,negated_conjecture,
( perp(esk5_0,esk3_0,X1,X2)
| ~ perp(esk2_0,esk2_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_212,c_0_164]) ).
fof(c_0_241,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])]) ).
fof(c_0_242,plain,
! [X9,X10,X11] :
( ( coll(X9,X11,esk13_3(X9,X10,X11))
| ~ cong(X11,X9,X11,X10)
| ~ perp(X9,X11,X11,X10) )
& ( cong(X11,X9,X11,esk13_3(X9,X10,X11))
| ~ cong(X11,X9,X11,X10)
| ~ perp(X9,X11,X11,X10) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX17])])])])]) ).
cnf(c_0_243,plain,
( cong(X1,X2,X1,X3)
| ~ perp(X1,X4,X2,X3)
| ~ midp(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_229]) ).
cnf(c_0_244,negated_conjecture,
perp(esk2_0,esk1_0,esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_192,c_0_230]) ).
cnf(c_0_245,plain,
( midp(X1,X2,X3)
| ~ coll(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_231]) ).
cnf(c_0_246,negated_conjecture,
perp(esk1_0,esk4_0,esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_232,c_0_233]) ).
cnf(c_0_247,negated_conjecture,
perp(X1,esk3_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_213,c_0_234]) ).
cnf(c_0_248,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_235]) ).
cnf(c_0_249,negated_conjecture,
( para(X1,X2,esk2_0,esk1_0)
| ~ perp(X1,X2,esk5_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_236]) ).
cnf(c_0_250,negated_conjecture,
( para(X1,X2,esk2_0,esk3_0)
| ~ perp(X3,X4,esk1_0,esk2_0)
| ~ para(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_137,c_0_237]) ).
cnf(c_0_251,negated_conjecture,
para(esk2_0,esk1_0,esk5_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_238,c_0_239])]) ).
cnf(c_0_252,negated_conjecture,
perp(esk5_0,esk3_0,X1,esk2_0),
inference(spm,[status(thm)],[c_0_240,c_0_164]) ).
cnf(c_0_253,negated_conjecture,
perp(esk5_0,esk3_0,esk2_0,X1),
inference(spm,[status(thm)],[c_0_240,c_0_159]) ).
fof(c_0_254,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])]) ).
cnf(c_0_255,plain,
( cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_256,plain,
( cong(X2,X1,X2,esk13_3(X1,X3,X2))
| ~ perp(X1,X2,X2,X3)
| ~ cong(X2,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_242]) ).
cnf(c_0_257,negated_conjecture,
( cong(esk2_0,esk1_0,esk2_0,esk3_0)
| ~ midp(esk1_0,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_243,c_0_244]) ).
cnf(c_0_258,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_245,c_0_103])]) ).
cnf(c_0_259,negated_conjecture,
( cong(esk1_0,esk1_0,esk1_0,esk3_0)
| ~ midp(esk4_0,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_243,c_0_246]) ).
cnf(c_0_260,negated_conjecture,
perp(esk1_0,esk4_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_192,c_0_233]) ).
cnf(c_0_261,negated_conjecture,
perp(esk1_0,esk2_0,X1,esk3_0),
inference(spm,[status(thm)],[c_0_49,c_0_247]) ).
cnf(c_0_262,negated_conjecture,
( midp(X1,esk1_0,X2)
| ~ midp(X1,X3,esk2_0)
| ~ perp(X3,X2,esk5_0,esk3_0)
| ~ para(X3,esk1_0,esk2_0,X2) ),
inference(spm,[status(thm)],[c_0_248,c_0_249]) ).
cnf(c_0_263,negated_conjecture,
para(esk2_0,esk1_0,esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_252])]) ).
cnf(c_0_264,negated_conjecture,
perp(esk2_0,X1,esk5_0,esk3_0),
inference(spm,[status(thm)],[c_0_49,c_0_253]) ).
cnf(c_0_265,plain,
( cong(X1,X2,X3,X4)
| ~ cong(X5,X6,X3,X4)
| ~ cong(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_254]) ).
cnf(c_0_266,plain,
( cong(X1,esk13_3(X2,X3,X1),X1,X2)
| ~ cong(X1,X2,X1,X3)
| ~ perp(X2,X1,X1,X3) ),
inference(spm,[status(thm)],[c_0_255,c_0_256]) ).
cnf(c_0_267,negated_conjecture,
( cong(esk2_0,esk1_0,esk2_0,esk3_0)
| ~ cong(esk1_0,esk1_0,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_257,c_0_258]) ).
cnf(c_0_268,negated_conjecture,
( cong(esk1_0,esk1_0,esk1_0,esk3_0)
| ~ cong(esk4_0,esk1_0,esk4_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_259,c_0_258]) ).
cnf(c_0_269,negated_conjecture,
( perp(esk2_0,esk3_0,X1,X2)
| ~ perp(X1,X2,esk5_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_186]) ).
cnf(c_0_270,negated_conjecture,
perp(X1,esk2_0,esk5_0,esk3_0),
inference(spm,[status(thm)],[c_0_49,c_0_252]) ).
cnf(c_0_271,negated_conjecture,
perp(esk4_0,esk1_0,esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_232,c_0_260]) ).
cnf(c_0_272,negated_conjecture,
( cong(esk1_0,X1,esk1_0,esk3_0)
| ~ midp(esk2_0,X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_243,c_0_261]) ).
cnf(c_0_273,negated_conjecture,
( midp(X1,esk1_0,esk3_0)
| ~ midp(X1,esk2_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_263]),c_0_264])]) ).
cnf(c_0_274,plain,
( cong(X1,X2,X3,X4)
| ~ cong(X1,X2,X3,esk13_3(X4,X5,X3))
| ~ cong(X3,X4,X3,X5)
| ~ perp(X4,X3,X3,X5) ),
inference(spm,[status(thm)],[c_0_265,c_0_266]) ).
cnf(c_0_275,negated_conjecture,
( cong(esk2_0,esk1_0,esk2_0,esk3_0)
| ~ cong(esk4_0,esk1_0,esk4_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_267,c_0_268]) ).
cnf(c_0_276,negated_conjecture,
perp(esk2_0,esk3_0,X1,esk2_0),
inference(spm,[status(thm)],[c_0_269,c_0_270]) ).
cnf(c_0_277,negated_conjecture,
( cong(esk4_0,esk1_0,esk4_0,esk3_0)
| ~ midp(esk1_0,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_243,c_0_271]) ).
cnf(c_0_278,negated_conjecture,
( cong(esk1_0,esk1_0,esk1_0,esk3_0)
| ~ midp(esk2_0,esk2_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_272,c_0_273]) ).
fof(c_0_279,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_280,plain,
( cong(X1,X2,X1,X2)
| ~ cong(X1,X2,X1,X3)
| ~ perp(X2,X1,X1,X3) ),
inference(spm,[status(thm)],[c_0_274,c_0_256]) ).
cnf(c_0_281,negated_conjecture,
( cong(esk2_0,esk3_0,esk2_0,esk1_0)
| ~ cong(esk4_0,esk1_0,esk4_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_255,c_0_275]) ).
cnf(c_0_282,negated_conjecture,
perp(esk3_0,esk2_0,esk2_0,X1),
inference(spm,[status(thm)],[c_0_196,c_0_276]) ).
cnf(c_0_283,negated_conjecture,
( cong(esk4_0,esk1_0,esk4_0,esk3_0)
| ~ cong(esk1_0,esk1_0,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_277,c_0_258]) ).
cnf(c_0_284,negated_conjecture,
cong(esk1_0,esk1_0,esk1_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_258]),c_0_126])]) ).
cnf(c_0_285,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_279]) ).
cnf(c_0_286,negated_conjecture,
( para(X1,X2,X3,X4)
| ~ para(X2,X1,X4,X3) ),
inference(spm,[status(thm)],[c_0_153,c_0_189]) ).
cnf(c_0_287,negated_conjecture,
para(esk5_0,esk3_0,esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_168]),c_0_222])]) ).
fof(c_0_288,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_289,negated_conjecture,
( cong(esk2_0,esk3_0,esk2_0,esk3_0)
| ~ cong(esk4_0,esk1_0,esk4_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_281]),c_0_282])]) ).
cnf(c_0_290,negated_conjecture,
cong(esk4_0,esk1_0,esk4_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_283,c_0_284])]) ).
cnf(c_0_291,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_285,c_0_103])]) ).
cnf(c_0_292,negated_conjecture,
para(esk3_0,esk5_0,esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_286,c_0_287]) ).
cnf(c_0_293,plain,
( cong(X1,X2,X3,X4)
| ~ cong(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_288]) ).
cnf(c_0_294,negated_conjecture,
cong(esk2_0,esk3_0,esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_289,c_0_290])]) ).
cnf(c_0_295,negated_conjecture,
( midp(esk5_0,X1,esk2_0)
| ~ midp(esk3_0,X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_291,c_0_292]) ).
cnf(c_0_296,negated_conjecture,
cong(esk2_0,esk3_0,esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_293,c_0_294]) ).
cnf(c_0_297,negated_conjecture,
perp(esk1_0,esk2_0,esk3_0,esk5_0),
inference(spm,[status(thm)],[c_0_158,c_0_129]) ).
cnf(c_0_298,negated_conjecture,
( midp(esk5_0,esk1_0,esk2_0)
| ~ midp(esk3_0,esk2_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_295,c_0_273]) ).
cnf(c_0_299,negated_conjecture,
cong(esk3_0,esk2_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_255,c_0_296]) ).
cnf(c_0_300,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_115]) ).
cnf(c_0_301,negated_conjecture,
perp(esk3_0,esk5_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_49,c_0_297]) ).
cnf(c_0_302,negated_conjecture,
( midp(esk5_0,esk1_0,esk2_0)
| ~ cong(esk3_0,esk2_0,esk3_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_298,c_0_258]) ).
cnf(c_0_303,negated_conjecture,
cong(esk3_0,esk2_0,esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_293,c_0_299]) ).
cnf(c_0_304,plain,
( para(X1,X1,X2,X1)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_70,c_0_300]) ).
cnf(c_0_305,negated_conjecture,
( cong(esk1_0,esk1_0,esk1_0,esk2_0)
| ~ midp(esk3_0,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_243,c_0_222]) ).
cnf(c_0_306,negated_conjecture,
( cong(esk3_0,esk1_0,esk3_0,esk2_0)
| ~ midp(esk5_0,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_243,c_0_301]) ).
cnf(c_0_307,negated_conjecture,
midp(esk5_0,esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_302,c_0_303])]) ).
cnf(c_0_308,plain,
( midp(X1,X2,X2)
| ~ cong(X2,X2,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_304]),c_0_304]) ).
cnf(c_0_309,negated_conjecture,
( cong(esk1_0,esk1_0,esk1_0,esk2_0)
| ~ cong(esk3_0,esk1_0,esk3_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_305,c_0_258]) ).
cnf(c_0_310,negated_conjecture,
cong(esk3_0,esk1_0,esk3_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_306,c_0_307])]) ).
cnf(c_0_311,negated_conjecture,
( midp(esk5_0,esk1_0,esk1_0)
| ~ cong(esk1_0,esk1_0,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_308,c_0_307]) ).
cnf(c_0_312,negated_conjecture,
cong(esk1_0,esk1_0,esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_309,c_0_310])]) ).
fof(c_0_313,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_314,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_69]),c_0_69])]) ).
cnf(c_0_315,negated_conjecture,
midp(esk5_0,esk1_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_311,c_0_312])]) ).
fof(c_0_316,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_317,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_313]) ).
cnf(c_0_318,negated_conjecture,
midp(esk5_0,X1,X1),
inference(spm,[status(thm)],[c_0_314,c_0_315]) ).
cnf(c_0_319,negated_conjecture,
( para(esk1_0,esk3_0,X1,X2)
| ~ perp(X1,X2,esk6_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_138]) ).
cnf(c_0_320,plain,
( perp(X1,X2,X3,X4)
| ~ cong(X1,X4,X2,X4)
| ~ cong(X1,X3,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_316]) ).
cnf(c_0_321,negated_conjecture,
cong(esk5_0,X1,esk5_0,X1),
inference(spm,[status(thm)],[c_0_317,c_0_318]) ).
cnf(c_0_322,negated_conjecture,
( perp(esk1_0,esk3_0,X1,X2)
| ~ perp(X3,X4,esk6_0,esk2_0)
| ~ perp(X3,X4,X1,X2) ),
inference(spm,[status(thm)],[c_0_173,c_0_319]) ).
cnf(c_0_323,negated_conjecture,
perp(esk5_0,esk5_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_321]),c_0_321])]) ).
cnf(c_0_324,negated_conjecture,
perp(esk6_0,esk2_0,X1,esk3_0),
inference(spm,[status(thm)],[c_0_209,c_0_164]) ).
cnf(c_0_325,negated_conjecture,
perp(esk1_0,esk3_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_323]),c_0_323])]) ).
cnf(c_0_326,negated_conjecture,
( perp(X1,X2,X3,esk3_0)
| ~ perp(X1,X2,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_201,c_0_324]) ).
cnf(c_0_327,negated_conjecture,
perp(X1,X2,esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_49,c_0_325]) ).
cnf(c_0_328,negated_conjecture,
perp(X1,X2,X3,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_326,c_0_327])]) ).
cnf(c_0_329,negated_conjecture,
perp(X1,X2,X1,X1),
inference(spm,[status(thm)],[c_0_49,c_0_159]) ).
cnf(c_0_330,negated_conjecture,
perp(X1,esk3_0,X2,X3),
inference(spm,[status(thm)],[c_0_49,c_0_328]) ).
cnf(c_0_331,negated_conjecture,
perp(esk5_0,esk3_0,esk2_0,esk2_0),
inference(spm,[status(thm)],[c_0_221,c_0_329]) ).
cnf(c_0_332,negated_conjecture,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_330]),c_0_328])]) ).
fof(c_0_333,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_334,negated_conjecture,
( para(esk1_0,esk3_0,esk1_0,esk2_0)
| ~ perp(X1,X2,esk5_0,esk3_0)
| ~ perp(X1,X2,esk6_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_199,c_0_319]) ).
cnf(c_0_335,negated_conjecture,
perp(esk2_0,esk2_0,esk5_0,esk3_0),
inference(spm,[status(thm)],[c_0_49,c_0_331]) ).
fof(c_0_336,plain,
! [X5,X6,X7,X8] :
( ~ cyclic(X5,X6,X7,X8)
| cyclic(X6,X5,X7,X8) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_337,plain,
eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_332])]) ).
cnf(c_0_338,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_333]) ).
cnf(c_0_339,negated_conjecture,
perp(esk3_0,esk3_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_213,c_0_164]) ).
cnf(c_0_340,negated_conjecture,
para(esk1_0,esk3_0,esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_335]),c_0_164])]) ).
cnf(c_0_341,plain,
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X2,X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_336]) ).
fof(c_0_342,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_343,plain,
eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
inference(spm,[status(thm)],[c_0_85,c_0_337]) ).
cnf(c_0_344,negated_conjecture,
perp(esk1_0,esk16_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_338,c_0_195]),c_0_211])]) ).
cnf(c_0_345,negated_conjecture,
( perp(esk5_0,esk3_0,X1,X2)
| ~ perp(esk3_0,esk3_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_212,c_0_339]) ).
cnf(c_0_346,negated_conjecture,
perp(esk6_0,esk2_0,esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_158,c_0_128]) ).
cnf(c_0_347,negated_conjecture,
para(esk3_0,esk1_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_160,c_0_340]) ).
cnf(c_0_348,plain,
( cyclic(X1,X2,X3,X4)
| ~ eqangle(X3,X2,X3,X1,X4,X2,X4,X1)
| ~ coll(X3,X4,X1) ),
inference(spm,[status(thm)],[c_0_341,c_0_93]) ).
cnf(c_0_349,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_342]) ).
cnf(c_0_350,plain,
eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
inference(spm,[status(thm)],[c_0_96,c_0_343]) ).
cnf(c_0_351,negated_conjecture,
( para(X1,X2,esk2_0,esk3_0)
| ~ perp(X1,X2,esk1_0,esk16_3(esk1_0,esk3_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_47,c_0_344]) ).
cnf(c_0_352,negated_conjecture,
perp(esk5_0,esk3_0,X1,esk3_0),
inference(spm,[status(thm)],[c_0_345,c_0_164]) ).
cnf(c_0_353,negated_conjecture,
( para(X1,X2,esk3_0,esk1_0)
| ~ perp(X1,X2,esk6_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_346]) ).
cnf(c_0_354,negated_conjecture,
para(esk3_0,esk1_0,esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_347]),c_0_169])]) ).
cnf(c_0_355,plain,
( cyclic(X1,X2,X3,X4)
| ~ eqangle(X3,X2,X3,X1,X4,X2,X4,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_348,c_0_103])]) ).
cnf(c_0_356,plain,
eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_350]),c_0_343])]) ).
cnf(c_0_357,negated_conjecture,
para(esk1_0,esk2_0,esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_286,c_0_263]) ).
cnf(c_0_358,negated_conjecture,
para(esk1_0,esk1_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_351,c_0_159]) ).
cnf(c_0_359,negated_conjecture,
perp(X1,esk3_0,esk5_0,esk3_0),
inference(spm,[status(thm)],[c_0_49,c_0_352]) ).
cnf(c_0_360,negated_conjecture,
( midp(X1,esk1_0,X2)
| ~ midp(X1,X3,esk3_0)
| ~ perp(X3,X2,esk6_0,esk2_0)
| ~ para(X3,esk1_0,esk3_0,X2) ),
inference(spm,[status(thm)],[c_0_248,c_0_353]) ).
cnf(c_0_361,negated_conjecture,
para(esk3_0,esk1_0,esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_70,c_0_354]) ).
cnf(c_0_362,negated_conjecture,
( cong(X1,X2,X1,X2)
| ~ cyclic(X1,X2,X3,X3)
| ~ cyclic(X1,X2,X3,X2)
| ~ cyclic(X1,X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_105,c_0_108]) ).
cnf(c_0_363,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_355,c_0_356])]) ).
cnf(c_0_364,negated_conjecture,
( midp(X1,esk2_0,esk2_0)
| ~ midp(X1,esk1_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_357]),c_0_357])]) ).
cnf(c_0_365,negated_conjecture,
( midp(X1,esk1_0,esk3_0)
| ~ midp(X1,esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_358]),c_0_359])]) ).
cnf(c_0_366,negated_conjecture,
( midp(X1,esk1_0,esk2_0)
| ~ midp(X1,esk3_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_361]),c_0_226])]) ).
cnf(c_0_367,negated_conjecture,
cong(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_362,c_0_363]),c_0_363]),c_0_363])]) ).
cnf(c_0_368,negated_conjecture,
perp(esk6_0,esk2_0,X1,esk2_0),
inference(spm,[status(thm)],[c_0_185,c_0_252]) ).
cnf(c_0_369,negated_conjecture,
( midp(X1,esk2_0,esk2_0)
| ~ midp(X1,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_364,c_0_365]) ).
cnf(c_0_370,negated_conjecture,
midp(X1,esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_258]),c_0_367])]) ).
fof(c_0_371,plain,
! [X18,X19,X20,X21,X22,X23] :
( ( midp(esk26_6(X18,X19,X20,X21,X22,X23),X18,X21)
| ~ midp(X22,X18,X19)
| ~ midp(X23,X20,X21) )
& ( para(esk26_6(X18,X19,X20,X21,X22,X23),X22,X19,X21)
| ~ midp(X22,X18,X19)
| ~ midp(X23,X20,X21) )
& ( para(esk26_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_372,negated_conjecture,
( midp(X1,esk3_0,X2)
| ~ midp(X1,X3,esk1_0)
| ~ perp(X3,X2,esk6_0,esk2_0)
| ~ para(X3,esk3_0,esk1_0,X2) ),
inference(spm,[status(thm)],[c_0_248,c_0_138]) ).
cnf(c_0_373,negated_conjecture,
( perp(X1,X2,X3,esk2_0)
| ~ perp(X1,X2,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_201,c_0_368]) ).
cnf(c_0_374,negated_conjecture,
midp(X1,esk2_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_369,c_0_370])]) ).
cnf(c_0_375,plain,
( para(esk26_6(X5,X6,X2,X3,X4,X1),X4,X6,X3)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_371]) ).
cnf(c_0_376,plain,
( para(esk26_6(X5,X6,X2,X3,X4,X1),X1,X5,X2)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_371]) ).
fof(c_0_377,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_378,negated_conjecture,
( midp(X1,esk3_0,X2)
| ~ midp(X1,esk1_0,esk1_0)
| ~ perp(esk1_0,X2,esk6_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_372,c_0_319]) ).
cnf(c_0_379,negated_conjecture,
perp(X1,X2,X3,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_373,c_0_327])]) ).
cnf(c_0_380,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_314,c_0_374]) ).
cnf(c_0_381,plain,
( midp(X1,X2,X3)
| ~ midp(X1,esk26_6(X4,X5,X6,X2,X3,X7),X5)
| ~ midp(X3,X4,X5)
| ~ midp(X7,X6,X2)
| ~ para(esk26_6(X4,X5,X6,X2,X3,X7),X2,X5,X3) ),
inference(spm,[status(thm)],[c_0_248,c_0_375]) ).
cnf(c_0_382,plain,
( para(esk26_6(X1,X2,X3,X4,X5,X6),X6,X3,X1)
| ~ midp(X5,X1,X2)
| ~ midp(X6,X3,X4) ),
inference(spm,[status(thm)],[c_0_70,c_0_376]) ).
cnf(c_0_383,plain,
( midp(X1,X2,X3)
| ~ midp(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_377]) ).
cnf(c_0_384,negated_conjecture,
midp(X1,esk3_0,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_378,c_0_379])]),c_0_380])]) ).
cnf(c_0_385,plain,
( midp(X1,X2,X3)
| ~ midp(X1,esk26_6(X3,X4,X4,X2,X3,X2),X4)
| ~ midp(X3,X3,X4)
| ~ midp(X2,X4,X2) ),
inference(spm,[status(thm)],[c_0_381,c_0_382]) ).
cnf(c_0_386,negated_conjecture,
midp(X1,X2,esk3_0),
inference(spm,[status(thm)],[c_0_383,c_0_384]) ).
cnf(c_0_387,negated_conjecture,
midp(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_386]),c_0_386]),c_0_384])]) ).
cnf(c_0_388,negated_conjecture,
~ cong(esk1_0,esk7_0,esk1_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_389,plain,
cong(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_317,c_0_387])]) ).
cnf(c_0_390,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_388,c_0_389])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO573+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n025.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 : Sat Jun 18 07:17:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.23/4.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/4.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/4.42 # Preprocessing time : 0.023 s
% 0.23/4.42
% 0.23/4.42 # Proof found!
% 0.23/4.42 # SZS status Theorem
% 0.23/4.42 # SZS output start CNFRefutation
% See solution above
% 0.23/4.42 # Proof object total steps : 391
% 0.23/4.42 # Proof object clause steps : 302
% 0.23/4.42 # Proof object formula steps : 89
% 0.23/4.42 # Proof object conjectures : 230
% 0.23/4.42 # Proof object clause conjectures : 227
% 0.23/4.42 # Proof object formula conjectures : 3
% 0.23/4.42 # Proof object initial clauses used : 50
% 0.23/4.42 # Proof object initial formulas used : 44
% 0.23/4.42 # Proof object generating inferences : 220
% 0.23/4.42 # Proof object simplifying inferences : 118
% 0.23/4.42 # Training examples: 0 positive, 0 negative
% 0.23/4.42 # Parsed axioms : 95
% 0.23/4.42 # Removed by relevancy pruning/SinE : 21
% 0.23/4.42 # Initial clauses : 102
% 0.23/4.42 # Removed in clause preprocessing : 0
% 0.23/4.42 # Initial clauses in saturation : 102
% 0.23/4.42 # Processed clauses : 12772
% 0.23/4.42 # ...of these trivial : 2775
% 0.23/4.42 # ...subsumed : 3361
% 0.23/4.42 # ...remaining for further processing : 6636
% 0.23/4.42 # Other redundant clauses eliminated : 0
% 0.23/4.42 # Clauses deleted for lack of memory : 0
% 0.23/4.42 # Backward-subsumed : 725
% 0.23/4.42 # Backward-rewritten : 5764
% 0.23/4.42 # Generated clauses : 132070
% 0.23/4.42 # ...of the previous two non-trivial : 109639
% 0.23/4.42 # Contextual simplify-reflections : 103
% 0.23/4.42 # Paramodulations : 132070
% 0.23/4.42 # Factorizations : 0
% 0.23/4.42 # Equation resolutions : 0
% 0.23/4.42 # Current number of processed clauses : 147
% 0.23/4.42 # Positive orientable unit clauses : 140
% 0.23/4.42 # Positive unorientable unit clauses: 0
% 0.23/4.42 # Negative unit clauses : 0
% 0.23/4.42 # Non-unit-clauses : 7
% 0.23/4.42 # Current number of unprocessed clauses: 1204
% 0.23/4.42 # ...number of literals in the above : 2981
% 0.23/4.42 # Current number of archived formulas : 0
% 0.23/4.42 # Current number of archived clauses : 6489
% 0.23/4.42 # Clause-clause subsumption calls (NU) : 2197845
% 0.23/4.42 # Rec. Clause-clause subsumption calls : 1506429
% 0.23/4.42 # Non-unit clause-clause subsumptions : 3588
% 0.23/4.42 # Unit Clause-clause subsumption calls : 589301
% 0.23/4.42 # Rewrite failures with RHS unbound : 0
% 0.23/4.42 # BW rewrite match attempts : 74149
% 0.23/4.42 # BW rewrite match successes : 3575
% 0.23/4.42 # Condensation attempts : 0
% 0.23/4.42 # Condensation successes : 0
% 0.23/4.42 # Termbank termtop insertions : 1984151
% 0.23/4.42
% 0.23/4.42 # -------------------------------------------------
% 0.23/4.42 # User time : 3.055 s
% 0.23/4.42 # System time : 0.042 s
% 0.23/4.42 # Total time : 3.097 s
% 0.23/4.42 # Maximum resident set size: 56716 pages
% 0.23/23.40 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
% 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
% 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
% 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
% 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
% 0.23/23.48 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
% 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.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
% 0.23/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.50 eprover: No such file or directory
% 0.23/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------