%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO599+1 : TPTP v9.2.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n018.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 : 300s
% DateTime : Tue May 5 04:21:38 PM UTC 2026
% Result : Theorem 64.60s 36.40s
% Output : CNFRefutation 64.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 38
% Syntax : Number of formulae : 250 ( 83 unt; 0 def)
% Number of atoms : 782 ( 0 equ)
% Maximal formula atoms : 224 ( 3 avg)
% Number of connectives : 928 ( 396 ~; 407 |; 85 &)
% ( 1 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-6 aty)
% Number of variables : 907 ( 87 sgn 417 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL618061,conjecture,
! [X1,X2,X3,X4,X5,X6,X13,X19,X20,X21] :
( ( circle(X4,X1,X2,X3)
& midp(X5,X2,X1)
& coll(X6,X4,X5)
& circle(X6,X1,X19,X20)
& coll(X13,X2,X3)
& circle(X6,X1,X13,X21) )
=> ( eqangle(X4,X1,X1,X6,X3,X1,X1,X13)
& ( eqangle(X1,X4,X4,X6,X1,X3,X3,X13)
| eqangle(X4,X1,X1,X6,X3,X1,X1,X13) )
& ( eqangle(X1,X4,X4,X6,X1,X13,X13,X3)
| eqangle(X4,X1,X1,X6,X1,X3,X3,X13) )
& ( eqangle(X1,X4,X4,X6,X3,X1,X1,X13)
| eqangle(X4,X1,X1,X6,X1,X3,X3,X13) )
& ( eqangle(X1,X4,X4,X6,X1,X13,X13,X3)
| eqangle(X4,X1,X1,X6,X1,X13,X13,X3) )
& ( eqangle(X1,X4,X4,X6,X3,X1,X1,X13)
| eqangle(X4,X1,X1,X6,X1,X13,X13,X3) )
& eqangle(X1,X4,X4,X6,X1,X3,X3,X13) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618061) ).
fof(ruleD69,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X3)
& coll(X1,X2,X4) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(ruleD25,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( cong(X1,X2,X3,X4)
& cong(X3,X4,X5,X6) )
=> cong(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
fof(ruleD23,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(ruleD67,axiom,
! [X1,X2,X3] :
( ( cong(X1,X2,X1,X3)
& coll(X1,X2,X3) )
=> midp(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
fof(ruleX6,axiom,
! [X1,X2,X3,X4,X7,X17] :
? [X9] :
( ( midp(X7,X1,X2)
& midp(X17,X3,X4) )
=> ( midp(X9,X1,X4)
& para(X9,X7,X2,X4)
& para(X9,X17,X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
fof(ruleD5,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(ruleD63,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& midp(X7,X3,X4) )
=> para(X1,X3,X2,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(ruleD39,axiom,
! [X1,X2,X3,X4,X9,X10] :
( eqangle(X1,X2,X9,X10,X3,X4,X9,X10)
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(ruleD46,axiom,
! [X1,X2,X8] :
( cong(X8,X1,X8,X2)
=> eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(ruleD40,axiom,
! [X1,X2,X3,X4,X9,X10] :
( para(X1,X2,X3,X4)
=> eqangle(X1,X2,X9,X10,X3,X4,X9,X10) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(ruleD75,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( eqratio(X1,X2,X3,X4,X9,X10,X11,X12)
& cong(X9,X10,X11,X12) )
=> cong(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD75) ).
fof(ruleD70,axiom,
! [X1,X2,X3,X4,X7,X17] :
( ( midp(X7,X1,X2)
& midp(X17,X3,X4) )
=> eqratio(X7,X1,X1,X2,X17,X3,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD70) ).
fof(ruleD27,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqratio(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqratio(X3,X4,X1,X2,X11,X12,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD27) ).
fof(ruleD26,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqratio(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqratio(X2,X1,X3,X4,X9,X10,X11,X12) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD26) ).
fof(ruleD45,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& para(X5,X6,X2,X3)
& coll(X6,X1,X3) )
=> midp(X6,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(ruleD12,axiom,
! [X1,X2,X3,X8] :
( ( cong(X8,X1,X8,X2)
& cong(X8,X1,X8,X3) )
=> circle(X8,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
fof(ruleD44,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& midp(X6,X1,X3) )
=> para(X5,X6,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(ruleD50,axiom,
! [X1,X2,X3,X8,X7] :
( ( circle(X8,X1,X2,X3)
& midp(X7,X2,X3) )
=> eqangle(X1,X2,X1,X3,X8,X2,X8,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD50) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(c_0_37,plain,
! [X1,X4,X13,X6,X3] :
( epred1_5(X3,X13,X6,X4,X1)
<=> ( eqangle(X4,X1,X1,X6,X3,X1,X1,X13)
& ( eqangle(X1,X4,X4,X6,X1,X3,X3,X13)
| eqangle(X4,X1,X1,X6,X3,X1,X1,X13) )
& ( eqangle(X1,X4,X4,X6,X1,X13,X13,X3)
| eqangle(X4,X1,X1,X6,X1,X3,X3,X13) )
& ( eqangle(X1,X4,X4,X6,X3,X1,X1,X13)
| eqangle(X4,X1,X1,X6,X1,X3,X3,X13) )
& ( eqangle(X1,X4,X4,X6,X1,X13,X13,X3)
| eqangle(X4,X1,X1,X6,X1,X13,X13,X3) )
& ( eqangle(X1,X4,X4,X6,X3,X1,X1,X13)
| eqangle(X4,X1,X1,X6,X1,X13,X13,X3) ) ) ),
introduced(definition) ).
fof(c_0_38,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13,X19,X20,X21] :
( ( circle(X4,X1,X2,X3)
& midp(X5,X2,X1)
& coll(X6,X4,X5)
& circle(X6,X1,X19,X20)
& coll(X13,X2,X3)
& circle(X6,X1,X13,X21) )
=> ( epred1_5(X3,X13,X6,X4,X1)
& eqangle(X1,X4,X4,X6,X1,X3,X3,X13) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[exemplo6GDDFULL618061]),c_0_37]) ).
fof(c_0_39,plain,
! [X927,X928,X929] :
( ~ midp(X927,X928,X929)
| coll(X927,X928,X929) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).
fof(c_0_40,negated_conjecture,
( circle(esk24_0,esk21_0,esk22_0,esk23_0)
& midp(esk25_0,esk22_0,esk21_0)
& coll(esk26_0,esk24_0,esk25_0)
& circle(esk26_0,esk21_0,esk28_0,esk29_0)
& coll(esk27_0,esk22_0,esk23_0)
& circle(esk26_0,esk21_0,esk27_0,esk30_0)
& ( ~ epred1_5(esk23_0,esk27_0,esk26_0,esk24_0,esk21_0)
| ~ eqangle(esk21_0,esk24_0,esk24_0,esk26_0,esk21_0,esk23_0,esk23_0,esk27_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])]) ).
fof(c_0_41,plain,
! [X557,X558,X559] :
( ~ coll(X557,X558,X559)
| coll(X558,X557,X559) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_42,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_43,negated_conjecture,
midp(esk25_0,esk22_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_44,plain,
! [X586,X587,X588,X589,X590,X591] :
( ~ perp(X586,X587,X588,X589)
| ~ perp(X588,X589,X590,X591)
| para(X586,X587,X590,X591) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_45,plain,
! [X1028,X1029,X1030,X1031] :
( ~ circle(X1031,X1028,X1029,X1030)
| perp(esk12_4(X1028,X1029,X1030,X1031),X1028,X1028,X1031) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
fof(c_0_46,plain,
! [X582,X583,X584,X585] :
( ~ perp(X582,X583,X584,X585)
| perp(X584,X585,X582,X583) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_47,plain,
! [X560,X561,X562,X563] :
( ~ coll(X560,X561,X562)
| ~ coll(X560,X561,X563)
| coll(X562,X563,X560) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
fof(c_0_48,plain,
! [X554,X555,X556] :
( ~ coll(X554,X555,X556)
| coll(X554,X556,X555) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_49,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_50,negated_conjecture,
coll(esk25_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_51,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_52,plain,
( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_53,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_54,plain,
! [X924,X925,X926] :
( ~ midp(X924,X925,X926)
| cong(X924,X925,X924,X926) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
fof(c_0_55,plain,
! [X598,X599,X600] :
( ~ midp(X600,X599,X598)
| midp(X600,X598,X599) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_56,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_57,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_58,negated_conjecture,
coll(esk22_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_59,plain,
( para(X1,X2,X3,X4)
| ~ circle(X4,X3,X5,X6)
| ~ perp(X1,X2,esk12_4(X3,X5,X6,X4),X3) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_60,plain,
( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_53,c_0_52]) ).
fof(c_0_61,plain,
! [X679,X680,X681,X682,X683,X684] :
( ~ cong(X679,X680,X681,X682)
| ~ cong(X681,X682,X683,X684)
| cong(X679,X680,X683,X684) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).
cnf(c_0_62,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_63,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_64,negated_conjecture,
( coll(X1,esk21_0,esk25_0)
| ~ coll(esk25_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_50]) ).
fof(c_0_65,plain,
! [X671,X672,X673,X674] :
( ~ cong(X671,X672,X673,X674)
| cong(X671,X672,X674,X673) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_66,negated_conjecture,
coll(esk22_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
fof(c_0_67,plain,
! [X908,X909,X910,X911,X912] :
( ~ midp(X912,X908,X909)
| ~ para(X908,X910,X909,X911)
| ~ para(X908,X911,X909,X910)
| midp(X912,X910,X911) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_68,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_69,negated_conjecture,
circle(esk26_0,esk21_0,esk28_0,esk29_0),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_70,plain,
( cong(X1,X2,X5,X6)
| ~ cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_71,negated_conjecture,
cong(esk25_0,esk22_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_62,c_0_43]) ).
cnf(c_0_72,negated_conjecture,
midp(esk25_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_63,c_0_43]) ).
cnf(c_0_73,negated_conjecture,
coll(esk21_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_64,c_0_50]) ).
fof(c_0_74,plain,
! [X675,X676,X677,X678] :
( ~ cong(X675,X676,X677,X678)
| cong(X677,X678,X675,X676) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_75,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_76,negated_conjecture,
( coll(X1,esk25_0,esk22_0)
| ~ coll(esk22_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_66]) ).
cnf(c_0_77,plain,
( midp(X1,X4,X5)
| ~ midp(X1,X2,X3)
| ~ para(X2,X4,X3,X5)
| ~ para(X2,X5,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_78,negated_conjecture,
para(esk21_0,esk26_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
fof(c_0_79,plain,
! [X921,X922,X923] :
( ~ cong(X921,X922,X921,X923)
| ~ coll(X921,X922,X923)
| midp(X921,X922,X923) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_80,negated_conjecture,
( cong(X1,X2,esk25_0,esk21_0)
| ~ cong(X1,X2,esk25_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_81,negated_conjecture,
cong(esk25_0,esk21_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_62,c_0_72]) ).
cnf(c_0_82,negated_conjecture,
coll(esk21_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_57,c_0_73]) ).
cnf(c_0_83,negated_conjecture,
coll(esk26_0,esk24_0,esk25_0),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_84,plain,
! [X572,X573,X574,X575,X576,X577] :
( ~ para(X572,X573,X574,X575)
| ~ para(X574,X575,X576,X577)
| para(X572,X573,X576,X577) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD6])]) ).
fof(c_0_85,plain,
! [X994,X995,X996,X997,X998,X999] :
( ( midp(esk6_6(X994,X995,X996,X997,X998,X999),X994,X997)
| ~ midp(X998,X994,X995)
| ~ midp(X999,X996,X997) )
& ( para(esk6_6(X994,X995,X996,X997,X998,X999),X998,X995,X997)
| ~ midp(X998,X994,X995)
| ~ midp(X999,X996,X997) )
& ( para(esk6_6(X994,X995,X996,X997,X998,X999),X999,X994,X996)
| ~ midp(X998,X994,X995)
| ~ midp(X999,X996,X997) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX6])])])])]) ).
fof(c_0_86,plain,
! [X568,X569,X570,X571] :
( ~ para(X568,X569,X570,X571)
| para(X570,X571,X568,X569) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_87,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_88,negated_conjecture,
cong(esk25_0,esk22_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_75,c_0_71]) ).
cnf(c_0_89,negated_conjecture,
coll(esk25_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_76,c_0_66]) ).
cnf(c_0_90,negated_conjecture,
( midp(X1,esk26_0,esk26_0)
| ~ midp(X1,esk21_0,esk21_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_78])]) ).
cnf(c_0_91,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_92,negated_conjecture,
cong(esk25_0,esk21_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_93,negated_conjecture,
coll(esk25_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_49,c_0_82]) ).
cnf(c_0_94,negated_conjecture,
coll(esk24_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_49,c_0_83]) ).
cnf(c_0_95,plain,
( para(X1,X2,X5,X6)
| ~ para(X1,X2,X3,X4)
| ~ para(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_96,plain,
( para(esk6_6(X1,X2,X3,X4,X5,X6),X6,X1,X3)
| ~ midp(X5,X1,X2)
| ~ midp(X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_97,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_98,negated_conjecture,
cong(esk21_0,esk25_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_99,negated_conjecture,
coll(esk25_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_57,c_0_89]) ).
cnf(c_0_100,negated_conjecture,
( cong(X1,esk26_0,X1,esk26_0)
| ~ midp(X1,esk21_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_90]) ).
cnf(c_0_101,negated_conjecture,
midp(esk25_0,esk21_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93])]) ).
fof(c_0_102,plain,
! [X903,X904,X905,X906,X907] :
( ~ midp(X907,X903,X904)
| ~ midp(X907,X905,X906)
| para(X903,X905,X904,X906) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).
cnf(c_0_103,negated_conjecture,
coll(esk24_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_57,c_0_94]) ).
cnf(c_0_104,plain,
( para(X1,X2,X3,X4)
| ~ midp(X5,X4,X6)
| ~ midp(X7,X3,X8)
| ~ para(X1,X2,esk6_6(X3,X8,X4,X6,X7,X5),X5) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_105,plain,
( para(X1,X2,esk6_6(X1,X3,X2,X4,X5,X6),X6)
| ~ midp(X6,X2,X4)
| ~ midp(X5,X1,X3) ),
inference(spm,[status(thm)],[c_0_97,c_0_96]) ).
cnf(c_0_106,negated_conjecture,
cong(esk21_0,esk25_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_80,c_0_98]) ).
cnf(c_0_107,negated_conjecture,
coll(esk25_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_64,c_0_99]) ).
cnf(c_0_108,negated_conjecture,
cong(esk25_0,esk26_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_109,negated_conjecture,
( coll(X1,esk25_0,esk26_0)
| ~ coll(esk26_0,esk24_0,X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_83]) ).
cnf(c_0_110,plain,
( para(X2,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_111,plain,
( midp(esk6_6(X1,X2,X3,X4,X5,X6),X1,X4)
| ~ midp(X5,X1,X2)
| ~ midp(X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_112,negated_conjecture,
( coll(X1,esk26_0,esk24_0)
| ~ coll(esk24_0,esk25_0,X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_103]) ).
fof(c_0_113,plain,
! [X783,X784,X785,X786,X787,X788] :
( ~ eqangle(X783,X784,X787,X788,X785,X786,X787,X788)
| para(X783,X784,X785,X786) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
fof(c_0_114,plain,
! [X823,X824,X825] :
( ~ cong(X825,X823,X825,X824)
| eqangle(X825,X823,X823,X824,X823,X824,X825,X824) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_115,plain,
( para(X1,X2,X1,X2)
| ~ midp(X3,X2,X4)
| ~ midp(X5,X1,X6) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_116,negated_conjecture,
cong(esk21_0,esk25_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_75,c_0_106]) ).
cnf(c_0_117,negated_conjecture,
coll(esk21_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_49,c_0_107]) ).
cnf(c_0_118,negated_conjecture,
cong(esk25_0,esk26_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_75,c_0_108]) ).
cnf(c_0_119,negated_conjecture,
coll(esk25_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_109,c_0_83]) ).
cnf(c_0_120,plain,
( para(X1,X2,X3,X4)
| ~ midp(esk6_6(X2,X5,X6,X4,X7,X8),X1,X3)
| ~ midp(X8,X6,X4)
| ~ midp(X7,X2,X5) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_121,plain,
( midp(esk6_6(X1,X2,X3,X4,X5,X6),X4,X1)
| ~ midp(X6,X3,X4)
| ~ midp(X5,X1,X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_111]) ).
cnf(c_0_122,negated_conjecture,
coll(esk26_0,esk26_0,esk24_0),
inference(spm,[status(thm)],[c_0_112,c_0_103]) ).
fof(c_0_123,plain,
! [X789,X790,X791,X792,X793,X794] :
( ~ para(X789,X790,X791,X792)
| eqangle(X789,X790,X793,X794,X791,X792,X793,X794) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
cnf(c_0_124,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_125,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_126,negated_conjecture,
( para(X1,esk21_0,X1,esk21_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_115,c_0_72]) ).
cnf(c_0_127,negated_conjecture,
midp(esk21_0,esk25_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_116]),c_0_117])]) ).
cnf(c_0_128,negated_conjecture,
cong(esk26_0,esk25_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_87,c_0_118]) ).
cnf(c_0_129,negated_conjecture,
coll(esk25_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_57,c_0_119]) ).
cnf(c_0_130,plain,
( para(X1,X2,X2,X1)
| ~ midp(X3,X4,X1)
| ~ midp(X5,X2,X6) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_131,negated_conjecture,
coll(esk26_0,esk24_0,esk26_0),
inference(spm,[status(thm)],[c_0_57,c_0_122]) ).
fof(c_0_132,plain,
! [X635,X636,X637,X638,X639,X640,X641,X642] :
( ~ eqangle(X635,X636,X637,X638,X639,X640,X641,X642)
| eqangle(X637,X638,X635,X636,X641,X642,X639,X640) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
cnf(c_0_133,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_134,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_135,negated_conjecture,
para(esk25_0,esk21_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_136,negated_conjecture,
cong(esk26_0,esk25_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_75,c_0_128]) ).
cnf(c_0_137,negated_conjecture,
coll(esk26_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_49,c_0_129]) ).
fof(c_0_138,plain,
! [X564,X565,X566,X567] :
( ~ para(X564,X565,X566,X567)
| para(X564,X565,X567,X566) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_139,negated_conjecture,
( para(esk22_0,X1,X1,esk22_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_130,c_0_72]) ).
cnf(c_0_140,negated_conjecture,
( para(X1,esk22_0,X1,esk22_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_115,c_0_43]) ).
cnf(c_0_141,negated_conjecture,
coll(esk26_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_109,c_0_131]) ).
cnf(c_0_142,plain,
( eqangle(X3,X4,X1,X2,X7,X8,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_143,plain,
( eqangle(X1,X1,X2,X3,X1,X4,X2,X3)
| ~ cong(X1,X1,X1,X4) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_144,negated_conjecture,
( midp(X1,esk21_0,esk21_0)
| ~ midp(X1,esk25_0,esk25_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_135]),c_0_135])]) ).
cnf(c_0_145,negated_conjecture,
midp(esk26_0,esk25_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_136]),c_0_137])]) ).
cnf(c_0_146,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_147,negated_conjecture,
para(esk22_0,esk21_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_139,c_0_72]) ).
cnf(c_0_148,negated_conjecture,
para(esk25_0,esk22_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_140,c_0_127]) ).
cnf(c_0_149,negated_conjecture,
coll(esk25_0,esk26_0,esk26_0),
inference(spm,[status(thm)],[c_0_49,c_0_141]) ).
cnf(c_0_150,plain,
( eqangle(X1,X2,X3,X3,X1,X2,X3,X4)
| ~ cong(X3,X3,X3,X4) ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_151,negated_conjecture,
midp(esk26_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_152,negated_conjecture,
para(esk22_0,esk21_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_153,negated_conjecture,
( midp(X1,esk22_0,esk22_0)
| ~ midp(X1,esk25_0,esk25_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_148]),c_0_148])]) ).
cnf(c_0_154,negated_conjecture,
midp(esk25_0,esk26_0,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_108]),c_0_149])]) ).
fof(c_0_155,plain,
! [X918,X919,X920] :
( ~ para(X918,X919,X918,X920)
| coll(X918,X919,X920) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_156,plain,
( para(X1,X2,X1,X2)
| ~ cong(X3,X3,X3,X3) ),
inference(spm,[status(thm)],[c_0_124,c_0_150]) ).
cnf(c_0_157,negated_conjecture,
cong(esk26_0,esk26_0,esk26_0,esk26_0),
inference(spm,[status(thm)],[c_0_100,c_0_151]) ).
fof(c_0_158,plain,
! [X960,X961,X962,X963,X964,X965,X966,X967] :
( ~ eqratio(X960,X961,X962,X963,X964,X965,X966,X967)
| ~ cong(X964,X965,X966,X967)
| cong(X960,X961,X962,X963) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).
fof(c_0_159,plain,
! [X930,X931,X932,X933,X934,X935] :
( ~ midp(X934,X930,X931)
| ~ midp(X935,X932,X933)
| eqratio(X934,X930,X930,X931,X935,X932,X932,X933) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).
cnf(c_0_160,negated_conjecture,
( midp(X1,esk21_0,esk21_0)
| ~ midp(X1,esk22_0,esk22_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_152]),c_0_152])]) ).
cnf(c_0_161,negated_conjecture,
midp(esk21_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_153,c_0_127]) ).
fof(c_0_162,plain,
! [X693,X694,X695,X696,X697,X698,X699,X700] :
( ~ eqratio(X693,X694,X695,X696,X697,X698,X699,X700)
| eqratio(X695,X696,X693,X694,X699,X700,X697,X698) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD27])]) ).
cnf(c_0_163,negated_conjecture,
( para(X1,esk26_0,X1,esk26_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_115,c_0_154]) ).
cnf(c_0_164,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
cnf(c_0_165,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
fof(c_0_166,plain,
! [X685,X686,X687,X688,X689,X690,X691,X692] :
( ~ eqratio(X685,X686,X687,X688,X689,X690,X691,X692)
| eqratio(X686,X685,X687,X688,X689,X690,X691,X692) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD26])]) ).
cnf(c_0_167,plain,
( cong(X1,X2,X3,X4)
| ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ cong(X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_158]) ).
cnf(c_0_168,plain,
( eqratio(X1,X2,X2,X3,X4,X5,X5,X6)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_159]) ).
cnf(c_0_169,negated_conjecture,
midp(esk21_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_170,plain,
( eqratio(X3,X4,X1,X2,X7,X8,X5,X6)
| ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
cnf(c_0_171,negated_conjecture,
para(esk25_0,esk26_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_163,c_0_127]) ).
cnf(c_0_172,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_173,plain,
( eqratio(X2,X1,X3,X4,X5,X6,X7,X8)
| ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_166]) ).
cnf(c_0_174,plain,
( cong(X1,X2,X2,X3)
| ~ cong(X4,X5,X5,X6)
| ~ midp(X4,X5,X6)
| ~ midp(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_175,negated_conjecture,
cong(esk21_0,esk21_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_62,c_0_169]) ).
cnf(c_0_176,plain,
( eqratio(X1,X2,X3,X1,X4,X5,X6,X4)
| ~ midp(X6,X4,X5)
| ~ midp(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_170,c_0_168]) ).
cnf(c_0_177,negated_conjecture,
( midp(X1,esk26_0,esk26_0)
| ~ midp(X1,esk25_0,esk25_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_171]),c_0_171])]) ).
cnf(c_0_178,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_49,c_0_172]) ).
cnf(c_0_179,plain,
( eqratio(X1,X2,X1,X3,X4,X5,X5,X6)
| ~ midp(X4,X5,X6)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_173,c_0_168]) ).
cnf(c_0_180,negated_conjecture,
( cong(X1,X2,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_169])]) ).
fof(c_0_181,plain,
! [X818,X819,X820,X821,X822] :
( ~ midp(X821,X818,X819)
| ~ para(X821,X822,X819,X820)
| ~ coll(X822,X818,X820)
| midp(X822,X818,X820) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_182,plain,
( cong(X1,X2,X3,X1)
| ~ cong(X4,X5,X6,X4)
| ~ midp(X6,X4,X5)
| ~ midp(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_167,c_0_176]) ).
cnf(c_0_183,negated_conjecture,
midp(esk26_0,esk26_0,esk26_0),
inference(spm,[status(thm)],[c_0_177,c_0_145]) ).
cnf(c_0_184,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_165]),c_0_165])]) ).
cnf(c_0_185,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_57,c_0_178]) ).
cnf(c_0_186,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X4,X5,X6)
| ~ midp(X2,X1,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_179]),c_0_180]) ).
cnf(c_0_187,plain,
( midp(X4,X2,X5)
| ~ midp(X1,X2,X3)
| ~ para(X1,X4,X3,X5)
| ~ coll(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_188,plain,
( para(X1,X1,X2,X1)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_146,c_0_134]) ).
cnf(c_0_189,negated_conjecture,
( cong(X1,X2,X3,X1)
| ~ midp(X3,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_157]),c_0_183])]) ).
cnf(c_0_190,negated_conjecture,
midp(esk26_0,X1,X1),
inference(spm,[status(thm)],[c_0_184,c_0_183]) ).
cnf(c_0_191,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_185]),c_0_185])]) ).
cnf(c_0_192,negated_conjecture,
( cong(X1,X2,X1,X3)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_186,c_0_183]) ).
cnf(c_0_193,plain,
( midp(X1,X2,X1)
| ~ cong(X1,X1,X1,X3)
| ~ midp(X1,X2,X3)
| ~ coll(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_194,negated_conjecture,
cong(X1,X1,esk26_0,X1),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_195,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_191])]) ).
cnf(c_0_196,negated_conjecture,
cong(X1,esk26_0,X1,X1),
inference(spm,[status(thm)],[c_0_192,c_0_190]) ).
cnf(c_0_197,plain,
( midp(X1,X2,X1)
| ~ cong(X1,X1,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_193,c_0_178])]) ).
cnf(c_0_198,negated_conjecture,
cong(X1,X1,X1,esk26_0),
inference(spm,[status(thm)],[c_0_75,c_0_194]) ).
cnf(c_0_199,negated_conjecture,
midp(X1,esk26_0,X1),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_200,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X1,X2,esk26_0) ),
inference(spm,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_201,negated_conjecture,
midp(X1,X1,esk26_0),
inference(spm,[status(thm)],[c_0_63,c_0_199]) ).
cnf(c_0_202,negated_conjecture,
midp(X1,X1,X1),
inference(spm,[status(thm)],[c_0_200,c_0_201]) ).
cnf(c_0_203,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_184,c_0_202]) ).
cnf(c_0_204,plain,
( para(esk6_6(X1,X2,X3,X4,X5,X6),X5,X2,X4)
| ~ midp(X5,X1,X2)
| ~ midp(X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_205,negated_conjecture,
cong(X1,X2,X1,X1),
inference(spm,[status(thm)],[c_0_192,c_0_203]) ).
cnf(c_0_206,plain,
( para(esk6_6(X1,X2,X3,X4,X5,X6),X5,X4,X2)
| ~ midp(X6,X3,X4)
| ~ midp(X5,X1,X2) ),
inference(spm,[status(thm)],[c_0_146,c_0_204]) ).
cnf(c_0_207,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X1,X1,X3)
| ~ midp(X1,X2,X1)
| ~ coll(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_187,c_0_134]) ).
cnf(c_0_208,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_195,c_0_205]) ).
cnf(c_0_209,plain,
( midp(X1,X2,X3)
| ~ midp(esk6_6(X4,X3,X5,X6,X1,X7),X2,X6)
| ~ midp(X7,X5,X6)
| ~ midp(X1,X4,X3)
| ~ coll(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_187,c_0_206]) ).
cnf(c_0_210,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X1,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_207,c_0_191])]),c_0_208])]) ).
cnf(c_0_211,plain,
( midp(X1,X2,X3)
| ~ midp(esk6_6(X4,X3,X5,X6,X1,X7),X2,X6)
| ~ midp(X7,X5,X6)
| ~ midp(X1,X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_209,c_0_191])]) ).
cnf(c_0_212,negated_conjecture,
midp(X1,X2,esk26_0),
inference(spm,[status(thm)],[c_0_210,c_0_198]) ).
cnf(c_0_213,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X1,X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_212])]) ).
cnf(c_0_214,negated_conjecture,
midp(X1,esk26_0,X2),
inference(spm,[status(thm)],[c_0_63,c_0_212]) ).
fof(c_0_215,plain,
! [X601,X602,X603,X604] :
( ~ cong(X604,X601,X604,X602)
| ~ cong(X604,X601,X604,X603)
| circle(X604,X601,X602,X603) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD12])]) ).
cnf(c_0_216,negated_conjecture,
midp(X1,X2,X3),
inference(spm,[status(thm)],[c_0_213,c_0_214]) ).
fof(c_0_217,plain,
! [X813,X814,X815,X816,X817] :
( ~ midp(X816,X813,X814)
| ~ midp(X817,X813,X815)
| para(X816,X817,X814,X815) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
fof(c_0_218,plain,
! [X839,X840,X841,X842,X843] :
( ~ circle(X842,X839,X840,X841)
| ~ midp(X843,X840,X841)
| eqangle(X839,X840,X839,X841,X842,X840,X842,X843) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD50])]) ).
cnf(c_0_219,plain,
( circle(X1,X2,X3,X4)
| ~ cong(X1,X2,X1,X3)
| ~ cong(X1,X2,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_215]) ).
cnf(c_0_220,negated_conjecture,
cong(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_192,c_0_216])]) ).
cnf(c_0_221,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_217]) ).
fof(c_0_222,plain,
! [X627,X628,X629,X630,X631,X632,X633,X634] :
( ~ eqangle(X627,X628,X629,X630,X631,X632,X633,X634)
| eqangle(X628,X627,X629,X630,X631,X632,X633,X634) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD18])]) ).
cnf(c_0_223,plain,
( eqangle(X2,X3,X2,X4,X1,X3,X1,X5)
| ~ circle(X1,X2,X3,X4)
| ~ midp(X5,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_218]) ).
cnf(c_0_224,plain,
circle(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_219,c_0_220]),c_0_220])]) ).
cnf(c_0_225,plain,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_221,c_0_216]),c_0_216])]) ).
fof(c_0_226,plain,
! [X643,X644,X645,X646,X647,X648,X649,X650] :
( ~ eqangle(X643,X644,X645,X646,X647,X648,X649,X650)
| eqangle(X647,X648,X649,X650,X643,X644,X645,X646) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).
cnf(c_0_227,plain,
( eqangle(X2,X1,X3,X4,X5,X6,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_222]) ).
cnf(c_0_228,plain,
eqangle(X1,X2,X1,X3,X4,X2,X4,X5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_216])]),c_0_224])]) ).
fof(c_0_229,plain,
! [X1,X4,X13,X6,X3] :
( ( eqangle(X4,X1,X1,X6,X3,X1,X1,X13)
& ( eqangle(X1,X4,X4,X6,X1,X3,X3,X13)
| eqangle(X4,X1,X1,X6,X3,X1,X1,X13) )
& ( eqangle(X1,X4,X4,X6,X1,X13,X13,X3)
| eqangle(X4,X1,X1,X6,X1,X3,X3,X13) )
& ( eqangle(X1,X4,X4,X6,X3,X1,X1,X13)
| eqangle(X4,X1,X1,X6,X1,X3,X3,X13) )
& ( eqangle(X1,X4,X4,X6,X1,X13,X13,X3)
| eqangle(X4,X1,X1,X6,X1,X13,X13,X3) )
& ( eqangle(X1,X4,X4,X6,X3,X1,X1,X13)
| eqangle(X4,X1,X1,X6,X1,X13,X13,X3) ) )
=> epred1_5(X3,X13,X6,X4,X1) ),
inference(split_equiv,[status(thm)],[c_0_37]) ).
fof(c_0_230,plain,
! [X651,X652,X653,X654,X655,X656,X657,X658] :
( ~ eqangle(X651,X652,X653,X654,X655,X656,X657,X658)
| eqangle(X651,X652,X655,X656,X653,X654,X657,X658) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).
cnf(c_0_231,plain,
eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_225])]) ).
cnf(c_0_232,plain,
( eqangle(X5,X6,X7,X8,X1,X2,X3,X4)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_226]) ).
cnf(c_0_233,plain,
eqangle(X1,X2,X2,X3,X4,X1,X4,X5),
inference(spm,[status(thm)],[c_0_227,c_0_228]) ).
fof(c_0_234,plain,
! [X1085,X1086,X1087,X1088,X1089] :
( ( ~ eqangle(X1085,X1086,X1086,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1085,X1086,X1086,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| epred1_5(X1089,X1087,X1088,X1086,X1085) )
& ( ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1085,X1086,X1086,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| epred1_5(X1089,X1087,X1088,X1086,X1085) )
& ( ~ eqangle(X1085,X1086,X1086,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1085,X1086,X1086,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| epred1_5(X1089,X1087,X1088,X1086,X1085) )
& ( ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1085,X1086,X1086,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| epred1_5(X1089,X1087,X1088,X1086,X1085) )
& ( ~ eqangle(X1085,X1086,X1086,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| epred1_5(X1089,X1087,X1088,X1086,X1085) )
& ( ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| epred1_5(X1089,X1087,X1088,X1086,X1085) )
& ( ~ eqangle(X1085,X1086,X1086,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| epred1_5(X1089,X1087,X1088,X1086,X1085) )
& ( ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| epred1_5(X1089,X1087,X1088,X1086,X1085) )
& ( ~ eqangle(X1085,X1086,X1086,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1085,X1086,X1086,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| epred1_5(X1089,X1087,X1088,X1086,X1085) )
& ( ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1085,X1086,X1086,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| epred1_5(X1089,X1087,X1088,X1086,X1085) )
& ( ~ eqangle(X1085,X1086,X1086,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1085,X1086,X1086,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| epred1_5(X1089,X1087,X1088,X1086,X1085) )
& ( ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1085,X1086,X1086,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| epred1_5(X1089,X1087,X1088,X1086,X1085) )
& ( ~ eqangle(X1085,X1086,X1086,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| epred1_5(X1089,X1087,X1088,X1086,X1085) )
& ( ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| epred1_5(X1089,X1087,X1088,X1086,X1085) )
& ( ~ eqangle(X1085,X1086,X1086,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| epred1_5(X1089,X1087,X1088,X1086,X1085) )
& ( ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| epred1_5(X1089,X1087,X1088,X1086,X1085) )
& ( ~ eqangle(X1085,X1086,X1086,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1085,X1086,X1086,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| epred1_5(X1089,X1087,X1088,X1086,X1085) )
& ( ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1085,X1086,X1086,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| epred1_5(X1089,X1087,X1088,X1086,X1085) )
& ( ~ eqangle(X1085,X1086,X1086,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1085,X1086,X1086,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| epred1_5(X1089,X1087,X1088,X1086,X1085) )
& ( ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1085,X1086,X1086,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| epred1_5(X1089,X1087,X1088,X1086,X1085) )
& ( ~ eqangle(X1085,X1086,X1086,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| epred1_5(X1089,X1087,X1088,X1086,X1085) )
& ( ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| epred1_5(X1089,X1087,X1088,X1086,X1085) )
& ( ~ eqangle(X1085,X1086,X1086,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| epred1_5(X1089,X1087,X1088,X1086,X1085) )
& ( ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| epred1_5(X1089,X1087,X1088,X1086,X1085) )
& ( ~ eqangle(X1085,X1086,X1086,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1085,X1086,X1086,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| epred1_5(X1089,X1087,X1088,X1086,X1085) )
& ( ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1085,X1086,X1086,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| epred1_5(X1089,X1087,X1088,X1086,X1085) )
& ( ~ eqangle(X1085,X1086,X1086,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1085,X1086,X1086,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| epred1_5(X1089,X1087,X1088,X1086,X1085) )
& ( ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1085,X1086,X1086,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| epred1_5(X1089,X1087,X1088,X1086,X1085) )
& ( ~ eqangle(X1085,X1086,X1086,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| epred1_5(X1089,X1087,X1088,X1086,X1085) )
& ( ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1085,X1086,X1086,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| epred1_5(X1089,X1087,X1088,X1086,X1085) )
& ( ~ eqangle(X1085,X1086,X1086,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| epred1_5(X1089,X1087,X1088,X1086,X1085) )
& ( ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1087,X1087,X1089)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1085,X1089,X1089,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| ~ eqangle(X1086,X1085,X1085,X1088,X1089,X1085,X1085,X1087)
| epred1_5(X1089,X1087,X1088,X1086,X1085) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_229])])]) ).
fof(c_0_235,plain,
! [X659,X660,X661,X662,X663,X664,X665,X666,X667,X668,X669,X670] :
( ~ eqangle(X659,X660,X661,X662,X663,X664,X665,X666)
| ~ eqangle(X663,X664,X665,X666,X667,X668,X669,X670)
| eqangle(X659,X660,X661,X662,X667,X668,X669,X670) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])]) ).
cnf(c_0_236,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_230]) ).
cnf(c_0_237,plain,
eqangle(X1,X2,X3,X4,X1,X2,X5,X6),
inference(spm,[status(thm)],[c_0_142,c_0_231]) ).
cnf(c_0_238,plain,
eqangle(X1,X2,X1,X3,X2,X4,X4,X5),
inference(spm,[status(thm)],[c_0_232,c_0_233]) ).
cnf(c_0_239,plain,
( epred1_5(X5,X4,X3,X1,X2)
| ~ eqangle(X1,X2,X2,X3,X2,X4,X4,X5)
| ~ eqangle(X1,X2,X2,X3,X2,X4,X4,X5)
| ~ eqangle(X1,X2,X2,X3,X2,X5,X5,X4)
| ~ eqangle(X1,X2,X2,X3,X2,X5,X5,X4)
| ~ eqangle(X1,X2,X2,X3,X5,X2,X2,X4)
| ~ eqangle(X1,X2,X2,X3,X5,X2,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_234]) ).
cnf(c_0_240,plain,
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ eqangle(X5,X6,X7,X8,X9,X10,X11,X12) ),
inference(split_conjunct,[status(thm)],[c_0_235]) ).
cnf(c_0_241,plain,
eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
inference(spm,[status(thm)],[c_0_236,c_0_237]) ).
cnf(c_0_242,plain,
eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
inference(spm,[status(thm)],[c_0_236,c_0_231]) ).
cnf(c_0_243,negated_conjecture,
( ~ epred1_5(esk23_0,esk27_0,esk26_0,esk24_0,esk21_0)
| ~ eqangle(esk21_0,esk24_0,esk24_0,esk26_0,esk21_0,esk23_0,esk23_0,esk27_0) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_244,plain,
eqangle(X1,X2,X2,X3,X1,X4,X4,X5),
inference(spm,[status(thm)],[c_0_227,c_0_238]) ).
cnf(c_0_245,plain,
( epred1_5(X5,X4,X3,X1,X2)
| ~ eqangle(X1,X2,X2,X3,X5,X2,X2,X4)
| ~ eqangle(X1,X2,X2,X3,X2,X5,X5,X4)
| ~ eqangle(X1,X2,X2,X3,X2,X4,X4,X5) ),
inference(cn,[status(thm)],[c_0_239]) ).
cnf(c_0_246,plain,
eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_242])]) ).
cnf(c_0_247,negated_conjecture,
~ epred1_5(esk23_0,esk27_0,esk26_0,esk24_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_243,c_0_244])]) ).
cnf(c_0_248,plain,
epred1_5(X1,X2,X3,X4,X5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_245,c_0_246]),c_0_246]),c_0_246])]) ).
cnf(c_0_249,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_247,c_0_248])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO599+1 : TPTP v9.2.1. Released v7.5.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n018.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 18:08:17 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 64.60/36.40 % Version : CSE_E---1.7
% 64.60/36.40 % Problem : theBenchmark.p
% 64.60/36.40 % SZS status Theorem for theBenchmark.p
% 64.60/36.40 % SZS output start CNFRefutation
% See solution above
% 64.71/36.60 % Total time : 29.444s
%------------------------------------------------------------------------------