%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO610+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 : n023.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 04:21:40 PM UTC 2026
% Result : Theorem 53.12s 29.94s
% Output : CNFRefutation 53.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 73
% Number of leaves : 49
% Syntax : Number of formulae : 557 ( 202 unt; 0 def)
% Number of atoms : 1354 ( 0 equ)
% Maximal formula atoms : 224 ( 2 avg)
% Number of connectives : 1433 ( 636 ~; 647 |; 99 &)
% ( 1 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-6 aty)
% Number of variables : 1270 ( 82 sgn 519 !; 3 ?)
% 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/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(exemplo6GDDFULL618072,conjecture,
! [X1,X2,X3,X4,X5,X6,X13,X19] :
( ( circle(X4,X1,X2,X3)
& circle(X4,X1,X5,X19)
& perp(X6,X5,X1,X3)
& coll(X6,X1,X3)
& perp(X13,X5,X1,X2)
& coll(X13,X1,X2) )
=> ( eqangle(X6,X5,X5,X13,X3,X5,X5,X2)
& ( eqangle(X5,X6,X6,X13,X5,X3,X3,X2)
| eqangle(X6,X5,X5,X13,X3,X5,X5,X2) )
& ( eqangle(X5,X6,X6,X13,X5,X2,X2,X3)
| eqangle(X6,X5,X5,X13,X5,X3,X3,X2) )
& ( eqangle(X5,X6,X6,X13,X3,X5,X5,X2)
| eqangle(X6,X5,X5,X13,X5,X3,X3,X2) )
& ( eqangle(X5,X6,X6,X13,X5,X2,X2,X3)
| eqangle(X6,X5,X5,X13,X5,X2,X2,X3) )
& ( eqangle(X5,X6,X6,X13,X3,X5,X5,X2)
| eqangle(X6,X5,X5,X13,X5,X2,X2,X3) )
& eqangle(X5,X6,X6,X13,X5,X3,X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618072) ).
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(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(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(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
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(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(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(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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(ruleD16,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X2,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
fof(ruleD17,axiom,
! [X1,X2,X3,X4,X5] :
( ( cyclic(X1,X2,X3,X4)
& cyclic(X1,X2,X3,X5) )
=> cyclic(X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(ruleD15,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X3,X2,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(ruleD14,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
fof(ruleD53,axiom,
! [X1,X2,X3,X8] :
( ( circle(X8,X1,X2,X3)
& coll(X8,X1,X3) )
=> perp(X1,X2,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
fof(ruleD7,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
fof(ruleD41,axiom,
! [X1,X2,X9,X10] :
( cyclic(X1,X2,X9,X10)
=> eqangle(X9,X1,X9,X2,X10,X1,X10,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
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(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(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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
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(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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
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(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(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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(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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD57) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD48) ).
fof(ruleD55,axiom,
! [X1,X2,X7,X8] :
( ( midp(X7,X1,X2)
& perp(X8,X7,X1,X2) )
=> cong(X8,X1,X8,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
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(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(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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
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(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(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(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(ruleX15,axiom,
! [X1,X2,X3,X5,X6] :
? [X9] :
( ( perp(X1,X3,X3,X2)
& coll(X2,X5,X6) )
=> ( coll(X9,X5,X6)
& perp(X9,X1,X5,X6) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX15) ).
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(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(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(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(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(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(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(c_0_48,plain,
! [X2,X13,X6,X5,X3] :
( epred1_5(X3,X5,X6,X13,X2)
<=> ( eqangle(X6,X5,X5,X13,X3,X5,X5,X2)
& ( eqangle(X5,X6,X6,X13,X5,X3,X3,X2)
| eqangle(X6,X5,X5,X13,X3,X5,X5,X2) )
& ( eqangle(X5,X6,X6,X13,X5,X2,X2,X3)
| eqangle(X6,X5,X5,X13,X5,X3,X3,X2) )
& ( eqangle(X5,X6,X6,X13,X3,X5,X5,X2)
| eqangle(X6,X5,X5,X13,X5,X3,X3,X2) )
& ( eqangle(X5,X6,X6,X13,X5,X2,X2,X3)
| eqangle(X6,X5,X5,X13,X5,X2,X2,X3) )
& ( eqangle(X5,X6,X6,X13,X3,X5,X5,X2)
| eqangle(X6,X5,X5,X13,X5,X2,X2,X3) ) ) ),
introduced(definition) ).
fof(c_0_49,plain,
! [X582,X583,X584,X585,X586,X587] :
( ~ perp(X582,X583,X584,X585)
| ~ perp(X584,X585,X586,X587)
| para(X582,X583,X586,X587) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_50,plain,
! [X1024,X1025,X1026,X1027] :
( ~ circle(X1027,X1024,X1025,X1026)
| perp(esk12_4(X1024,X1025,X1026,X1027),X1024,X1024,X1027) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
fof(c_0_51,plain,
! [X578,X579,X580,X581] :
( ~ perp(X578,X579,X580,X581)
| perp(X580,X581,X578,X579) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_52,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13,X19] :
( ( circle(X4,X1,X2,X3)
& circle(X4,X1,X5,X19)
& perp(X6,X5,X1,X3)
& coll(X6,X1,X3)
& perp(X13,X5,X1,X2)
& coll(X13,X1,X2) )
=> ( epred1_5(X3,X5,X6,X13,X2)
& eqangle(X5,X6,X6,X13,X5,X3,X3,X2) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[exemplo6GDDFULL618072]),c_0_48]) ).
cnf(c_0_53,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_54,plain,
( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_55,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_56,plain,
! [X550,X551,X552] :
( ~ coll(X550,X551,X552)
| coll(X550,X552,X551) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
fof(c_0_57,negated_conjecture,
( circle(esk24_0,esk21_0,esk22_0,esk23_0)
& circle(esk24_0,esk21_0,esk25_0,esk28_0)
& perp(esk26_0,esk25_0,esk21_0,esk23_0)
& coll(esk26_0,esk21_0,esk23_0)
& perp(esk27_0,esk25_0,esk21_0,esk22_0)
& coll(esk27_0,esk21_0,esk22_0)
& ( ~ epred1_5(esk23_0,esk25_0,esk26_0,esk27_0,esk22_0)
| ~ eqangle(esk25_0,esk26_0,esk26_0,esk27_0,esk25_0,esk23_0,esk23_0,esk22_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])]) ).
cnf(c_0_58,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_53,c_0_54]) ).
cnf(c_0_59,plain,
( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_55,c_0_54]) ).
fof(c_0_60,plain,
! [X556,X557,X558,X559] :
( ~ coll(X556,X557,X558)
| ~ coll(X556,X557,X559)
| coll(X558,X559,X556) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_61,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_62,negated_conjecture,
coll(esk27_0,esk21_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
fof(c_0_63,plain,
! [X560,X561,X562,X563] :
( ~ para(X560,X561,X562,X563)
| para(X560,X561,X563,X562) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_64,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_65,negated_conjecture,
circle(esk24_0,esk21_0,esk22_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
fof(c_0_66,plain,
! [X553,X554,X555] :
( ~ coll(X553,X554,X555)
| coll(X554,X553,X555) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_67,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_68,negated_conjecture,
coll(esk27_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
fof(c_0_69,plain,
! [X564,X565,X566,X567] :
( ~ para(X564,X565,X566,X567)
| para(X566,X567,X564,X565) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_70,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_71,negated_conjecture,
para(esk21_0,esk24_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_72,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_73,negated_conjecture,
( coll(X1,esk21_0,esk27_0)
| ~ coll(esk27_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_74,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_75,negated_conjecture,
para(esk21_0,esk24_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_76,negated_conjecture,
coll(esk21_0,esk27_0,esk22_0),
inference(spm,[status(thm)],[c_0_72,c_0_62]) ).
cnf(c_0_77,negated_conjecture,
coll(esk21_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_73,c_0_68]) ).
fof(c_0_78,plain,
! [X914,X915,X916] :
( ~ para(X914,X915,X914,X916)
| coll(X914,X915,X916) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_79,negated_conjecture,
para(esk24_0,esk21_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_80,negated_conjecture,
( coll(X1,esk22_0,esk21_0)
| ~ coll(esk21_0,esk27_0,X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_76]) ).
cnf(c_0_81,negated_conjecture,
coll(esk21_0,esk27_0,esk21_0),
inference(spm,[status(thm)],[c_0_61,c_0_77]) ).
cnf(c_0_82,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_83,negated_conjecture,
para(esk24_0,esk21_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_70,c_0_79]) ).
cnf(c_0_84,negated_conjecture,
coll(esk21_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_85,negated_conjecture,
coll(esk24_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_86,negated_conjecture,
coll(esk21_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_61,c_0_84]) ).
cnf(c_0_87,negated_conjecture,
coll(esk21_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_72,c_0_85]) ).
fof(c_0_88,plain,
! [X785,X786,X787,X788,X789,X790] :
( ~ para(X785,X786,X787,X788)
| eqangle(X785,X786,X789,X790,X787,X788,X789,X790) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
cnf(c_0_89,negated_conjecture,
coll(esk21_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_82,c_0_71]) ).
cnf(c_0_90,negated_conjecture,
( coll(X1,esk22_0,esk21_0)
| ~ coll(esk21_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_86]) ).
cnf(c_0_91,negated_conjecture,
coll(esk21_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_61,c_0_87]) ).
cnf(c_0_92,negated_conjecture,
perp(esk27_0,esk25_0,esk21_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
fof(c_0_93,plain,
! [X799,X800,X801,X802] :
( ~ eqangle(X801,X799,X801,X800,X802,X799,X802,X800)
| ~ coll(X801,X802,X800)
| cyclic(X799,X800,X801,X802) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
cnf(c_0_94,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_95,negated_conjecture,
coll(esk24_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_72,c_0_89]) ).
cnf(c_0_96,negated_conjecture,
coll(esk24_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_97,negated_conjecture,
( para(X1,X2,esk21_0,esk22_0)
| ~ perp(X1,X2,esk27_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_92]) ).
fof(c_0_98,plain,
! [X614,X615,X616,X617] :
( ~ cyclic(X614,X615,X616,X617)
| cyclic(X615,X614,X616,X617) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_99,plain,
( cyclic(X2,X3,X1,X4)
| ~ eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
| ~ coll(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_100,negated_conjecture,
eqangle(esk24_0,esk21_0,X1,X2,esk24_0,esk21_0,X1,X2),
inference(spm,[status(thm)],[c_0_94,c_0_83]) ).
cnf(c_0_101,negated_conjecture,
( coll(X1,esk24_0,esk24_0)
| ~ coll(esk24_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_95]) ).
cnf(c_0_102,negated_conjecture,
coll(esk24_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_61,c_0_96]) ).
cnf(c_0_103,negated_conjecture,
coll(esk26_0,esk21_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
fof(c_0_104,plain,
! [X618,X619,X620,X621,X622] :
( ~ cyclic(X618,X619,X620,X621)
| ~ cyclic(X618,X619,X620,X622)
| cyclic(X619,X620,X621,X622) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_105,negated_conjecture,
( eqangle(X1,X2,X3,X4,esk21_0,esk22_0,X3,X4)
| ~ perp(X1,X2,esk27_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_94,c_0_97]) ).
cnf(c_0_106,negated_conjecture,
perp(esk21_0,esk22_0,esk27_0,esk25_0),
inference(spm,[status(thm)],[c_0_55,c_0_92]) ).
fof(c_0_107,plain,
! [X610,X611,X612,X613] :
( ~ cyclic(X610,X611,X612,X613)
| cyclic(X610,X612,X611,X613) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_108,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_109,negated_conjecture,
( cyclic(esk21_0,X1,esk24_0,esk24_0)
| ~ coll(esk24_0,esk24_0,X1) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_110,negated_conjecture,
coll(esk22_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_111,negated_conjecture,
coll(esk26_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_61,c_0_103]) ).
cnf(c_0_112,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_113,negated_conjecture,
( cyclic(esk22_0,X1,esk21_0,esk21_0)
| ~ coll(esk21_0,esk21_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_105]),c_0_106])]) ).
cnf(c_0_114,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_115,negated_conjecture,
( cyclic(X1,esk21_0,esk24_0,esk24_0)
| ~ coll(esk24_0,esk24_0,X1) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_116,negated_conjecture,
coll(esk24_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_72,c_0_110]) ).
cnf(c_0_117,negated_conjecture,
( coll(X1,esk21_0,esk26_0)
| ~ coll(esk26_0,esk23_0,X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_111]) ).
fof(c_0_118,plain,
! [X606,X607,X608,X609] :
( ~ cyclic(X606,X607,X608,X609)
| cyclic(X606,X607,X609,X608) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_119,negated_conjecture,
( cyclic(X1,esk21_0,X2,esk21_0)
| ~ cyclic(esk22_0,X1,esk21_0,X2)
| ~ coll(esk21_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_120,negated_conjecture,
( cyclic(X1,esk24_0,esk21_0,esk24_0)
| ~ coll(esk24_0,esk24_0,X1) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_121,negated_conjecture,
coll(esk24_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_61,c_0_116]) ).
cnf(c_0_122,negated_conjecture,
coll(esk21_0,esk26_0,esk23_0),
inference(spm,[status(thm)],[c_0_72,c_0_103]) ).
cnf(c_0_123,negated_conjecture,
coll(esk21_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_117,c_0_111]) ).
fof(c_0_124,plain,
! [X849,X850,X851,X852] :
( ~ circle(X852,X849,X850,X851)
| ~ coll(X852,X849,X851)
| perp(X849,X850,X850,X851) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD53])]) ).
cnf(c_0_125,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_126,negated_conjecture,
cyclic(esk24_0,esk21_0,esk24_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_91]),c_0_121])]) ).
cnf(c_0_127,negated_conjecture,
( coll(X1,esk23_0,esk21_0)
| ~ coll(esk21_0,esk26_0,X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_122]) ).
cnf(c_0_128,negated_conjecture,
coll(esk21_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_61,c_0_123]) ).
fof(c_0_129,plain,
! [X574,X575,X576,X577] :
( ~ perp(X574,X575,X576,X577)
| perp(X574,X575,X577,X576) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])]) ).
cnf(c_0_130,plain,
( perp(X2,X3,X3,X4)
| ~ circle(X1,X2,X3,X4)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_131,negated_conjecture,
cyclic(esk24_0,esk21_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_132,negated_conjecture,
coll(esk21_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_133,plain,
( perp(X1,X2,X4,X3)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_134,negated_conjecture,
( perp(esk21_0,esk22_0,esk22_0,esk23_0)
| ~ coll(esk24_0,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_130,c_0_65]) ).
cnf(c_0_135,negated_conjecture,
cyclic(esk21_0,esk24_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_108,c_0_131]) ).
cnf(c_0_136,negated_conjecture,
coll(esk21_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_61,c_0_132]) ).
cnf(c_0_137,negated_conjecture,
( perp(esk21_0,esk22_0,esk23_0,esk22_0)
| ~ coll(esk24_0,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_138,negated_conjecture,
( cyclic(esk24_0,esk21_0,X1,esk24_0)
| ~ cyclic(esk21_0,esk24_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_135]) ).
cnf(c_0_139,negated_conjecture,
( perp(esk22_0,esk23_0,esk21_0,esk22_0)
| ~ coll(esk24_0,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_134]) ).
cnf(c_0_140,negated_conjecture,
( coll(X1,esk23_0,esk21_0)
| ~ coll(esk21_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_136]) ).
cnf(c_0_141,negated_conjecture,
( cyclic(X1,esk22_0,esk21_0,esk21_0)
| ~ coll(esk21_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_108,c_0_113]) ).
cnf(c_0_142,negated_conjecture,
( perp(esk23_0,esk22_0,esk21_0,esk22_0)
| ~ coll(esk24_0,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_137]) ).
fof(c_0_143,plain,
! [X791,X792,X793,X794] :
( ~ cyclic(X791,X792,X793,X794)
| eqangle(X793,X791,X793,X792,X794,X791,X794,X792) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
cnf(c_0_144,negated_conjecture,
( cyclic(esk21_0,esk24_0,X1,esk24_0)
| ~ cyclic(esk21_0,esk24_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_108,c_0_138]) ).
cnf(c_0_145,negated_conjecture,
coll(esk24_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_61,c_0_95]) ).
cnf(c_0_146,negated_conjecture,
( perp(esk22_0,esk23_0,esk22_0,esk21_0)
| ~ coll(esk24_0,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_133,c_0_139]) ).
cnf(c_0_147,negated_conjecture,
coll(esk24_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_140,c_0_91]) ).
cnf(c_0_148,negated_conjecture,
( cyclic(X1,esk21_0,esk22_0,esk21_0)
| ~ coll(esk21_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_114,c_0_141]) ).
cnf(c_0_149,negated_conjecture,
( coll(X1,esk21_0,esk21_0)
| ~ coll(esk21_0,esk27_0,X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_81]) ).
cnf(c_0_150,negated_conjecture,
( perp(esk23_0,esk22_0,esk22_0,esk21_0)
| ~ coll(esk24_0,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_133,c_0_142]) ).
fof(c_0_151,plain,
! [X814,X815,X816,X817,X818] :
( ~ midp(X817,X814,X815)
| ~ para(X817,X818,X815,X816)
| ~ coll(X818,X814,X816)
| midp(X818,X814,X816) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
fof(c_0_152,plain,
! [X904,X905,X906,X907,X908] :
( ~ midp(X908,X904,X905)
| ~ para(X904,X906,X905,X907)
| ~ para(X904,X907,X905,X906)
| midp(X908,X906,X907) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
fof(c_0_153,plain,
! [X803,X804,X805,X806,X807,X808] :
( ~ cyclic(X803,X804,X805,X806)
| ~ cyclic(X803,X804,X805,X807)
| ~ cyclic(X803,X804,X805,X808)
| ~ eqangle(X805,X803,X805,X804,X808,X806,X808,X807)
| cong(X803,X804,X806,X807) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])]) ).
cnf(c_0_154,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_143]) ).
cnf(c_0_155,negated_conjecture,
cyclic(esk21_0,esk24_0,esk24_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_120]),c_0_145])]) ).
cnf(c_0_156,negated_conjecture,
coll(esk22_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_80,c_0_76]) ).
cnf(c_0_157,negated_conjecture,
( coll(X1,esk27_0,esk21_0)
| ~ coll(esk21_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_77]) ).
fof(c_0_158,plain,
! [X568,X569,X570,X571,X572,X573] :
( ~ para(X568,X569,X570,X571)
| ~ para(X570,X571,X572,X573)
| para(X568,X569,X572,X573) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD6])]) ).
cnf(c_0_159,negated_conjecture,
( para(X1,X2,esk27_0,esk25_0)
| ~ perp(X1,X2,esk21_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_106]) ).
cnf(c_0_160,negated_conjecture,
( perp(esk22_0,esk21_0,esk22_0,esk23_0)
| ~ coll(esk24_0,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_146]) ).
cnf(c_0_161,negated_conjecture,
coll(esk24_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_61,c_0_147]) ).
cnf(c_0_162,negated_conjecture,
( cyclic(X1,esk21_0,esk21_0,esk22_0)
| ~ coll(esk21_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_125,c_0_148]) ).
cnf(c_0_163,negated_conjecture,
coll(esk21_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_149,c_0_81]) ).
fof(c_0_164,plain,
! [X940,X941,X942,X943,X944,X945,X946,X947] :
( ~ eqangle(X940,X941,X942,X943,X944,X945,X946,X947)
| ~ para(X944,X945,X946,X947)
| para(X940,X941,X942,X943) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
cnf(c_0_165,negated_conjecture,
( perp(esk22_0,esk21_0,esk23_0,esk22_0)
| ~ coll(esk24_0,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_150]) ).
cnf(c_0_166,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_151]) ).
cnf(c_0_167,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_152]) ).
fof(c_0_168,plain,
! [X917,X918,X919] :
( ~ cong(X917,X918,X917,X919)
| ~ coll(X917,X918,X919)
| midp(X917,X918,X919) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_169,plain,
( cong(X1,X2,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5)
| ~ cyclic(X1,X2,X3,X6)
| ~ eqangle(X3,X1,X3,X2,X6,X4,X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_153]) ).
cnf(c_0_170,negated_conjecture,
eqangle(esk24_0,esk24_0,esk24_0,esk21_0,esk21_0,esk24_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_154,c_0_126]) ).
cnf(c_0_171,negated_conjecture,
cyclic(esk24_0,esk21_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_108,c_0_155]) ).
cnf(c_0_172,negated_conjecture,
coll(esk22_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_61,c_0_156]) ).
cnf(c_0_173,negated_conjecture,
coll(esk22_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_72,c_0_96]) ).
cnf(c_0_174,negated_conjecture,
coll(esk23_0,esk27_0,esk21_0),
inference(spm,[status(thm)],[c_0_157,c_0_136]) ).
cnf(c_0_175,negated_conjecture,
perp(esk26_0,esk25_0,esk21_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_176,plain,
( para(X1,X2,X5,X6)
| ~ para(X1,X2,X3,X4)
| ~ para(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_158]) ).
cnf(c_0_177,negated_conjecture,
( para(esk27_0,esk25_0,X1,X2)
| ~ perp(X1,X2,esk21_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_74,c_0_159]) ).
cnf(c_0_178,negated_conjecture,
perp(esk22_0,esk21_0,esk22_0,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_161])]) ).
cnf(c_0_179,negated_conjecture,
cyclic(esk21_0,esk21_0,esk22_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_162]),c_0_163]),c_0_86])]) ).
cnf(c_0_180,plain,
( para(X1,X2,X3,X4)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ para(X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_164]) ).
cnf(c_0_181,negated_conjecture,
perp(esk27_0,esk25_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_133,c_0_92]) ).
cnf(c_0_182,negated_conjecture,
perp(esk22_0,esk21_0,esk23_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_161])]) ).
fof(c_0_183,plain,
! [X779,X780,X781,X782,X783,X784] :
( ~ eqangle(X779,X780,X783,X784,X781,X782,X783,X784)
| para(X779,X780,X781,X782) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
fof(c_0_184,plain,
! [X819,X820,X821] :
( ~ cong(X821,X819,X821,X820)
| eqangle(X821,X819,X819,X820,X819,X820,X821,X820) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
fof(c_0_185,plain,
! [X594,X595,X596] :
( ~ midp(X596,X595,X594)
| midp(X596,X594,X595) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_186,negated_conjecture,
( midp(X1,X2,esk22_0)
| ~ midp(X3,X2,esk21_0)
| ~ perp(X3,X1,esk27_0,esk25_0)
| ~ coll(X1,X2,esk22_0) ),
inference(spm,[status(thm)],[c_0_166,c_0_97]) ).
fof(c_0_187,plain,
! [X920,X921,X922] :
( ~ midp(X920,X921,X922)
| cong(X920,X921,X920,X922) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_188,negated_conjecture,
( midp(esk21_0,X1,esk21_0)
| ~ midp(esk24_0,X1,esk24_0)
| ~ coll(esk21_0,X1,esk21_0) ),
inference(spm,[status(thm)],[c_0_166,c_0_83]) ).
cnf(c_0_189,negated_conjecture,
( midp(X1,esk24_0,esk24_0)
| ~ midp(X1,esk21_0,esk21_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_71]),c_0_71])]) ).
cnf(c_0_190,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_168]) ).
cnf(c_0_191,negated_conjecture,
cong(esk24_0,esk21_0,esk24_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_126]),c_0_171])]) ).
cnf(c_0_192,negated_conjecture,
( coll(X1,esk22_0,esk22_0)
| ~ coll(esk22_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_172]) ).
cnf(c_0_193,negated_conjecture,
coll(esk22_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_61,c_0_173]) ).
cnf(c_0_194,negated_conjecture,
coll(esk23_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_61,c_0_174]) ).
cnf(c_0_195,negated_conjecture,
coll(esk27_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_72,c_0_174]) ).
cnf(c_0_196,negated_conjecture,
( para(X1,X2,esk21_0,esk23_0)
| ~ perp(X1,X2,esk26_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_175]) ).
cnf(c_0_197,negated_conjecture,
coll(esk23_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_127,c_0_122]) ).
cnf(c_0_198,negated_conjecture,
( para(X1,X2,X3,X4)
| ~ perp(X3,X4,esk21_0,esk22_0)
| ~ para(X1,X2,esk27_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_199,negated_conjecture,
perp(esk23_0,esk22_0,esk21_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_161])]) ).
cnf(c_0_200,negated_conjecture,
( para(X1,X2,esk22_0,esk23_0)
| ~ perp(X1,X2,esk22_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_178]) ).
cnf(c_0_201,negated_conjecture,
cyclic(esk21_0,esk21_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_125,c_0_179]) ).
cnf(c_0_202,negated_conjecture,
( para(X1,X2,X3,X4)
| ~ perp(X1,X2,esk27_0,esk25_0)
| ~ para(esk21_0,esk22_0,X3,X4) ),
inference(spm,[status(thm)],[c_0_180,c_0_105]) ).
cnf(c_0_203,negated_conjecture,
perp(esk22_0,esk21_0,esk27_0,esk25_0),
inference(spm,[status(thm)],[c_0_55,c_0_181]) ).
cnf(c_0_204,negated_conjecture,
( para(X1,X2,esk23_0,esk22_0)
| ~ perp(X1,X2,esk22_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_182]) ).
cnf(c_0_205,negated_conjecture,
perp(esk21_0,esk22_0,esk25_0,esk27_0),
inference(spm,[status(thm)],[c_0_133,c_0_106]) ).
cnf(c_0_206,negated_conjecture,
( coll(X1,esk22_0,esk27_0)
| ~ coll(esk27_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_62]) ).
cnf(c_0_207,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_183]) ).
cnf(c_0_208,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
cnf(c_0_209,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_185]) ).
cnf(c_0_210,negated_conjecture,
( midp(esk22_0,X1,esk22_0)
| ~ midp(esk21_0,X1,esk21_0)
| ~ coll(esk22_0,X1,esk22_0) ),
inference(spm,[status(thm)],[c_0_186,c_0_106]) ).
cnf(c_0_211,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_212,negated_conjecture,
( midp(esk21_0,esk24_0,esk21_0)
| ~ midp(esk24_0,esk21_0,esk21_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_87])]) ).
cnf(c_0_213,negated_conjecture,
midp(esk24_0,esk21_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_85])]) ).
cnf(c_0_214,negated_conjecture,
coll(esk24_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_192,c_0_193]) ).
cnf(c_0_215,negated_conjecture,
coll(esk21_0,esk23_0,esk27_0),
inference(spm,[status(thm)],[c_0_72,c_0_194]) ).
cnf(c_0_216,negated_conjecture,
coll(esk27_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_61,c_0_195]) ).
cnf(c_0_217,negated_conjecture,
( midp(X1,X2,esk23_0)
| ~ midp(X3,X2,esk21_0)
| ~ perp(X3,X1,esk26_0,esk25_0)
| ~ coll(X1,X2,esk23_0) ),
inference(spm,[status(thm)],[c_0_166,c_0_196]) ).
cnf(c_0_218,negated_conjecture,
perp(esk21_0,esk23_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_55,c_0_175]) ).
cnf(c_0_219,negated_conjecture,
coll(esk23_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_61,c_0_197]) ).
cnf(c_0_220,negated_conjecture,
coll(esk23_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_72,c_0_147]) ).
cnf(c_0_221,negated_conjecture,
( para(X1,X2,esk23_0,esk22_0)
| ~ para(X1,X2,esk27_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_198,c_0_199]) ).
cnf(c_0_222,negated_conjecture,
( para(esk22_0,esk23_0,X1,X2)
| ~ perp(X1,X2,esk22_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_74,c_0_200]) ).
cnf(c_0_223,negated_conjecture,
( cyclic(esk21_0,esk21_0,X1,esk22_0)
| ~ cyclic(esk21_0,esk21_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_201]) ).
cnf(c_0_224,negated_conjecture,
( para(esk22_0,esk21_0,X1,X2)
| ~ para(esk21_0,esk22_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_202,c_0_203]) ).
cnf(c_0_225,negated_conjecture,
( para(esk23_0,esk22_0,X1,X2)
| ~ perp(X1,X2,esk22_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_74,c_0_204]) ).
cnf(c_0_226,negated_conjecture,
perp(esk25_0,esk27_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_55,c_0_205]) ).
cnf(c_0_227,negated_conjecture,
coll(esk22_0,esk22_0,esk27_0),
inference(spm,[status(thm)],[c_0_206,c_0_62]) ).
cnf(c_0_228,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_207,c_0_208]) ).
cnf(c_0_229,negated_conjecture,
( midp(esk22_0,esk22_0,X1)
| ~ midp(esk21_0,X1,esk21_0)
| ~ coll(esk22_0,X1,esk22_0) ),
inference(spm,[status(thm)],[c_0_209,c_0_210]) ).
cnf(c_0_230,negated_conjecture,
( cong(esk22_0,X1,esk22_0,esk22_0)
| ~ midp(esk21_0,X1,esk21_0)
| ~ coll(esk22_0,X1,esk22_0) ),
inference(spm,[status(thm)],[c_0_211,c_0_210]) ).
cnf(c_0_231,negated_conjecture,
midp(esk21_0,esk24_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_213])]) ).
cnf(c_0_232,negated_conjecture,
coll(esk22_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_72,c_0_214]) ).
cnf(c_0_233,negated_conjecture,
coll(esk21_0,esk27_0,esk23_0),
inference(spm,[status(thm)],[c_0_61,c_0_215]) ).
cnf(c_0_234,negated_conjecture,
coll(esk23_0,esk22_0,esk27_0),
inference(spm,[status(thm)],[c_0_206,c_0_216]) ).
cnf(c_0_235,negated_conjecture,
( midp(esk23_0,X1,esk23_0)
| ~ midp(esk21_0,X1,esk21_0)
| ~ coll(esk23_0,X1,esk23_0) ),
inference(spm,[status(thm)],[c_0_217,c_0_218]) ).
cnf(c_0_236,negated_conjecture,
( coll(X1,esk23_0,esk23_0)
| ~ coll(esk23_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_219]) ).
cnf(c_0_237,negated_conjecture,
coll(esk23_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_61,c_0_220]) ).
cnf(c_0_238,negated_conjecture,
para(esk22_0,esk23_0,esk23_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_181])]) ).
fof(c_0_239,plain,
! [X865,X866,X867,X868] :
( ~ cong(X865,X867,X866,X867)
| ~ cong(X865,X868,X866,X868)
| ~ cyclic(X865,X866,X867,X868)
| perp(X867,X865,X865,X868) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD57])]) ).
cnf(c_0_240,negated_conjecture,
cyclic(esk21_0,esk21_0,esk22_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_162]),c_0_163])]) ).
cnf(c_0_241,negated_conjecture,
( para(X1,X2,esk22_0,esk21_0)
| ~ para(esk21_0,esk22_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_74,c_0_224]) ).
cnf(c_0_242,negated_conjecture,
( para(X1,X2,esk22_0,esk21_0)
| ~ perp(X1,X2,esk27_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_181]) ).
cnf(c_0_243,negated_conjecture,
( para(esk23_0,esk22_0,X1,X2)
| ~ perp(X2,X1,esk22_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_225]) ).
cnf(c_0_244,negated_conjecture,
perp(esk25_0,esk27_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_133,c_0_226]) ).
cnf(c_0_245,negated_conjecture,
coll(esk22_0,esk27_0,esk22_0),
inference(spm,[status(thm)],[c_0_61,c_0_227]) ).
cnf(c_0_246,plain,
( para(X1,X1,X2,X1)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_70,c_0_228]) ).
cnf(c_0_247,negated_conjecture,
( cong(esk22_0,esk22_0,esk22_0,X1)
| ~ midp(esk21_0,X1,esk21_0)
| ~ coll(esk22_0,X1,esk22_0) ),
inference(spm,[status(thm)],[c_0_211,c_0_229]) ).
cnf(c_0_248,negated_conjecture,
cong(esk22_0,esk24_0,esk22_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_232])]) ).
cnf(c_0_249,negated_conjecture,
coll(esk23_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_80,c_0_233]) ).
cnf(c_0_250,negated_conjecture,
coll(esk22_0,esk23_0,esk27_0),
inference(spm,[status(thm)],[c_0_72,c_0_234]) ).
cnf(c_0_251,negated_conjecture,
( midp(esk23_0,esk23_0,X1)
| ~ midp(esk21_0,X1,esk21_0)
| ~ coll(esk23_0,X1,esk23_0) ),
inference(spm,[status(thm)],[c_0_209,c_0_235]) ).
cnf(c_0_252,negated_conjecture,
coll(esk24_0,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_236,c_0_237]) ).
cnf(c_0_253,negated_conjecture,
para(esk22_0,esk23_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_70,c_0_238]) ).
fof(c_0_254,plain,
! [X825,X826,X827,X828,X829] :
( ~ circle(X828,X825,X826,X827)
| ~ perp(X828,X825,X825,X829)
| eqangle(X825,X829,X825,X826,X827,X825,X827,X826) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD48])]) ).
cnf(c_0_255,plain,
( perp(X2,X1,X1,X4)
| ~ cong(X1,X2,X3,X2)
| ~ cong(X1,X4,X3,X4)
| ~ cyclic(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_239]) ).
cnf(c_0_256,negated_conjecture,
cyclic(esk24_0,esk24_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_114,c_0_126]) ).
cnf(c_0_257,negated_conjecture,
cyclic(esk21_0,esk22_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_114,c_0_240]) ).
cnf(c_0_258,negated_conjecture,
para(esk22_0,esk21_0,esk22_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_106])]) ).
cnf(c_0_259,negated_conjecture,
para(esk23_0,esk22_0,esk23_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_243]),c_0_244])]) ).
cnf(c_0_260,negated_conjecture,
( coll(X1,esk22_0,esk22_0)
| ~ coll(esk22_0,esk27_0,X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_245]) ).
cnf(c_0_261,plain,
( midp(X1,X2,X2)
| ~ cong(X2,X2,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_246]),c_0_246]) ).
cnf(c_0_262,negated_conjecture,
cong(esk22_0,esk22_0,esk22_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_231]),c_0_232])]) ).
cnf(c_0_263,negated_conjecture,
midp(esk22_0,esk24_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_248]),c_0_232])]) ).
cnf(c_0_264,negated_conjecture,
coll(esk23_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_61,c_0_249]) ).
fof(c_0_265,plain,
! [X857,X858,X859,X860] :
( ~ midp(X859,X857,X858)
| ~ perp(X860,X859,X857,X858)
| cong(X860,X857,X860,X858) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD55])]) ).
cnf(c_0_266,negated_conjecture,
coll(esk22_0,esk27_0,esk23_0),
inference(spm,[status(thm)],[c_0_61,c_0_250]) ).
cnf(c_0_267,negated_conjecture,
( cong(esk23_0,esk23_0,esk23_0,X1)
| ~ midp(esk21_0,X1,esk21_0)
| ~ coll(esk23_0,X1,esk23_0) ),
inference(spm,[status(thm)],[c_0_211,c_0_251]) ).
cnf(c_0_268,negated_conjecture,
coll(esk23_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_72,c_0_252]) ).
cnf(c_0_269,negated_conjecture,
( midp(esk23_0,X1,esk23_0)
| ~ midp(esk22_0,X1,esk22_0)
| ~ coll(esk23_0,X1,esk23_0) ),
inference(spm,[status(thm)],[c_0_166,c_0_253]) ).
fof(c_0_270,plain,
! [X655,X656,X657,X658,X659,X660,X661,X662,X663,X664,X665,X666] :
( ~ eqangle(X655,X656,X657,X658,X659,X660,X661,X662)
| ~ eqangle(X659,X660,X661,X662,X663,X664,X665,X666)
| eqangle(X655,X656,X657,X658,X663,X664,X665,X666) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])]) ).
cnf(c_0_271,plain,
( eqangle(X2,X5,X2,X3,X4,X2,X4,X3)
| ~ circle(X1,X2,X3,X4)
| ~ perp(X1,X2,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_254]) ).
cnf(c_0_272,negated_conjecture,
circle(esk24_0,esk21_0,esk25_0,esk28_0),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_273,negated_conjecture,
( perp(esk21_0,esk24_0,esk24_0,esk21_0)
| ~ cong(esk24_0,esk21_0,esk24_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_255,c_0_256]) ).
cnf(c_0_274,negated_conjecture,
cyclic(esk21_0,esk22_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_125,c_0_257]) ).
cnf(c_0_275,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_167,c_0_258]),c_0_258])]) ).
cnf(c_0_276,negated_conjecture,
( midp(esk22_0,X1,esk22_0)
| ~ midp(esk23_0,X1,esk23_0)
| ~ coll(esk22_0,X1,esk22_0) ),
inference(spm,[status(thm)],[c_0_166,c_0_259]) ).
cnf(c_0_277,negated_conjecture,
coll(esk22_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_260,c_0_245]) ).
cnf(c_0_278,negated_conjecture,
( midp(X1,esk22_0,esk22_0)
| ~ midp(X1,esk22_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_261,c_0_262]) ).
cnf(c_0_279,negated_conjecture,
midp(esk22_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_209,c_0_263]) ).
cnf(c_0_280,negated_conjecture,
coll(esk22_0,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_236,c_0_264]) ).
fof(c_0_281,plain,
! [X623,X624,X625,X626,X627,X628,X629,X630] :
( ~ eqangle(X623,X624,X625,X626,X627,X628,X629,X630)
| eqangle(X624,X623,X625,X626,X627,X628,X629,X630) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD18])]) ).
cnf(c_0_282,plain,
( cong(X4,X2,X4,X3)
| ~ midp(X1,X2,X3)
| ~ perp(X4,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_265]) ).
cnf(c_0_283,negated_conjecture,
perp(esk21_0,esk22_0,esk23_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_161])]) ).
cnf(c_0_284,negated_conjecture,
coll(esk23_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_260,c_0_266]) ).
cnf(c_0_285,negated_conjecture,
cong(esk23_0,esk23_0,esk23_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_231]),c_0_268])]) ).
cnf(c_0_286,negated_conjecture,
midp(esk23_0,esk24_0,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_263]),c_0_268])]) ).
cnf(c_0_287,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_270]) ).
cnf(c_0_288,negated_conjecture,
( eqangle(esk21_0,X1,esk21_0,esk25_0,esk28_0,esk21_0,esk28_0,esk25_0)
| ~ perp(esk24_0,esk21_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_271,c_0_272]) ).
cnf(c_0_289,negated_conjecture,
perp(esk21_0,esk24_0,esk24_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_273,c_0_191])]) ).
fof(c_0_290,plain,
! [X588,X589,X590,X591,X592,X593] :
( ~ para(X588,X589,X590,X591)
| ~ perp(X590,X591,X592,X593)
| perp(X588,X589,X592,X593) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD10])]) ).
cnf(c_0_291,negated_conjecture,
cyclic(esk22_0,esk21_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_108,c_0_274]) ).
cnf(c_0_292,negated_conjecture,
( midp(esk22_0,esk21_0,esk21_0)
| ~ midp(esk23_0,esk22_0,esk23_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_277])]) ).
cnf(c_0_293,negated_conjecture,
midp(esk22_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_278,c_0_279]) ).
cnf(c_0_294,negated_conjecture,
coll(esk23_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_72,c_0_280]) ).
fof(c_0_295,plain,
! [X948,X949,X950,X951,X952,X953,X954,X955] :
( ~ eqangle(X948,X949,X950,X951,X952,X953,X954,X955)
| ~ perp(X952,X953,X954,X955)
| perp(X948,X949,X950,X951) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD74])]) ).
cnf(c_0_296,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_281]) ).
cnf(c_0_297,negated_conjecture,
( cong(esk21_0,esk23_0,esk21_0,esk22_0)
| ~ midp(esk22_0,esk23_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_282,c_0_283]) ).
cnf(c_0_298,negated_conjecture,
coll(esk22_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_72,c_0_284]) ).
cnf(c_0_299,negated_conjecture,
( midp(X1,esk23_0,esk23_0)
| ~ midp(X1,esk23_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_261,c_0_285]) ).
cnf(c_0_300,negated_conjecture,
midp(esk23_0,esk23_0,esk24_0),
inference(spm,[status(thm)],[c_0_209,c_0_286]) ).
fof(c_0_301,plain,
! [X647,X648,X649,X650,X651,X652,X653,X654] :
( ~ eqangle(X647,X648,X649,X650,X651,X652,X653,X654)
| eqangle(X647,X648,X651,X652,X649,X650,X653,X654) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).
cnf(c_0_302,negated_conjecture,
( eqangle(X1,X2,X3,X4,esk28_0,esk21_0,esk28_0,esk25_0)
| ~ eqangle(X1,X2,X3,X4,esk21_0,X5,esk21_0,esk25_0)
| ~ perp(esk24_0,esk21_0,esk21_0,X5) ),
inference(spm,[status(thm)],[c_0_287,c_0_288]) ).
cnf(c_0_303,negated_conjecture,
eqangle(esk24_0,esk21_0,X1,X2,esk21_0,esk24_0,X1,X2),
inference(spm,[status(thm)],[c_0_94,c_0_79]) ).
cnf(c_0_304,negated_conjecture,
perp(esk24_0,esk21_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_55,c_0_289]) ).
cnf(c_0_305,negated_conjecture,
para(esk21_0,esk22_0,esk22_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_97]),c_0_106])]) ).
cnf(c_0_306,plain,
( perp(X1,X2,X5,X6)
| ~ para(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_290]) ).
cnf(c_0_307,negated_conjecture,
perp(esk21_0,esk22_0,esk22_0,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_134,c_0_161])]) ).
cnf(c_0_308,negated_conjecture,
cyclic(esk22_0,esk22_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_114,c_0_291]) ).
cnf(c_0_309,negated_conjecture,
( cong(esk22_0,esk21_0,esk22_0,esk21_0)
| ~ midp(esk23_0,esk22_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_211,c_0_292]) ).
cnf(c_0_310,negated_conjecture,
midp(esk23_0,esk22_0,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_293]),c_0_294])]) ).
cnf(c_0_311,plain,
( perp(X1,X2,X3,X4)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ perp(X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_295]) ).
cnf(c_0_312,plain,
( eqangle(X1,X2,X1,X3,X1,X3,X2,X3)
| ~ cong(X2,X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_296,c_0_208]) ).
cnf(c_0_313,negated_conjecture,
( cong(esk21_0,esk23_0,esk21_0,esk22_0)
| ~ midp(esk23_0,esk23_0,esk23_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_276]),c_0_298])]) ).
cnf(c_0_314,negated_conjecture,
midp(esk23_0,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_299,c_0_300]) ).
cnf(c_0_315,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_301]) ).
cnf(c_0_316,negated_conjecture,
eqangle(esk24_0,esk21_0,esk21_0,esk25_0,esk28_0,esk21_0,esk28_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_303]),c_0_304])]) ).
fof(c_0_317,plain,
! [X990,X991,X992,X993,X994,X995] :
( ( midp(esk6_6(X990,X991,X992,X993,X994,X995),X990,X993)
| ~ midp(X994,X990,X991)
| ~ midp(X995,X992,X993) )
& ( para(esk6_6(X990,X991,X992,X993,X994,X995),X994,X991,X993)
| ~ midp(X994,X990,X991)
| ~ midp(X995,X992,X993) )
& ( para(esk6_6(X990,X991,X992,X993,X994,X995),X995,X990,X992)
| ~ midp(X994,X990,X991)
| ~ midp(X995,X992,X993) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX6])])])])]) ).
cnf(c_0_318,negated_conjecture,
( midp(esk22_0,X1,esk21_0)
| ~ midp(esk21_0,X1,esk22_0)
| ~ coll(esk22_0,X1,esk21_0) ),
inference(spm,[status(thm)],[c_0_166,c_0_305]) ).
cnf(c_0_319,negated_conjecture,
( perp(X1,X2,esk22_0,esk23_0)
| ~ para(X1,X2,esk21_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_306,c_0_307]) ).
cnf(c_0_320,negated_conjecture,
( perp(esk21_0,esk22_0,esk22_0,esk21_0)
| ~ cong(esk22_0,esk21_0,esk22_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_255,c_0_308]) ).
cnf(c_0_321,negated_conjecture,
cong(esk22_0,esk21_0,esk22_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_309,c_0_310])]) ).
cnf(c_0_322,negated_conjecture,
( para(X1,X2,esk22_0,esk23_0)
| ~ perp(X1,X2,esk21_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_307]) ).
cnf(c_0_323,plain,
( perp(X1,X2,X1,X3)
| ~ cong(X2,X1,X2,X3)
| ~ perp(X1,X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_311,c_0_312]) ).
cnf(c_0_324,negated_conjecture,
cong(esk21_0,esk23_0,esk21_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_313,c_0_314])]) ).
cnf(c_0_325,negated_conjecture,
eqangle(esk24_0,esk21_0,esk28_0,esk21_0,esk21_0,esk25_0,esk28_0,esk25_0),
inference(spm,[status(thm)],[c_0_315,c_0_316]) ).
fof(c_0_326,plain,
! [X899,X900,X901,X902,X903] :
( ~ midp(X903,X899,X900)
| ~ midp(X903,X901,X902)
| para(X899,X901,X900,X902) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).
cnf(c_0_327,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_317]) ).
cnf(c_0_328,negated_conjecture,
( midp(esk22_0,esk21_0,X1)
| ~ midp(esk21_0,X1,esk22_0)
| ~ coll(esk22_0,X1,esk21_0) ),
inference(spm,[status(thm)],[c_0_209,c_0_318]) ).
cnf(c_0_329,negated_conjecture,
( midp(esk21_0,X1,esk24_0)
| ~ midp(esk24_0,X1,esk21_0)
| ~ coll(esk21_0,X1,esk24_0) ),
inference(spm,[status(thm)],[c_0_166,c_0_79]) ).
cnf(c_0_330,negated_conjecture,
( midp(X1,esk23_0,esk23_0)
| ~ midp(X1,esk22_0,esk22_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_253]),c_0_253])]) ).
cnf(c_0_331,negated_conjecture,
( perp(esk22_0,esk23_0,esk22_0,esk23_0)
| ~ perp(esk21_0,esk22_0,esk22_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_319,c_0_222]) ).
cnf(c_0_332,negated_conjecture,
perp(esk21_0,esk22_0,esk22_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_320,c_0_321])]) ).
cnf(c_0_333,negated_conjecture,
( para(esk22_0,esk23_0,X1,X2)
| ~ perp(X1,X2,esk21_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_74,c_0_322]) ).
cnf(c_0_334,negated_conjecture,
( para(esk27_0,esk25_0,X1,X2)
| ~ perp(X2,X1,esk21_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_177]) ).
cnf(c_0_335,negated_conjecture,
( eqangle(esk21_0,X1,esk21_0,esk22_0,esk23_0,esk21_0,esk23_0,esk22_0)
| ~ perp(esk24_0,esk21_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_271,c_0_65]) ).
cnf(c_0_336,negated_conjecture,
perp(esk23_0,esk21_0,esk23_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_324]),c_0_199])]) ).
cnf(c_0_337,negated_conjecture,
( perp(esk24_0,esk21_0,esk28_0,esk21_0)
| ~ perp(esk21_0,esk25_0,esk28_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_311,c_0_325]) ).
cnf(c_0_338,plain,
( para(X2,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_326]) ).
cnf(c_0_339,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_209,c_0_327]) ).
cnf(c_0_340,negated_conjecture,
para(esk21_0,esk22_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_70,c_0_305]) ).
cnf(c_0_341,negated_conjecture,
( midp(esk23_0,esk21_0,esk23_0)
| ~ midp(esk21_0,esk22_0,esk22_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_328]),c_0_219]),c_0_156])]) ).
cnf(c_0_342,negated_conjecture,
midp(esk21_0,esk21_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_213]),c_0_91])]) ).
cnf(c_0_343,negated_conjecture,
( midp(esk23_0,X1,esk22_0)
| ~ midp(esk22_0,X1,esk23_0)
| ~ coll(esk23_0,X1,esk22_0) ),
inference(spm,[status(thm)],[c_0_166,c_0_238]) ).
cnf(c_0_344,negated_conjecture,
( midp(esk22_0,esk23_0,esk23_0)
| ~ midp(esk21_0,esk22_0,esk21_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_210]),c_0_277])]) ).
cnf(c_0_345,negated_conjecture,
coll(esk23_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_61,c_0_294]) ).
cnf(c_0_346,negated_conjecture,
perp(esk22_0,esk23_0,esk22_0,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_331,c_0_332])]) ).
cnf(c_0_347,negated_conjecture,
( para(esk22_0,esk23_0,X1,X2)
| ~ perp(X2,X1,esk21_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_333]) ).
cnf(c_0_348,negated_conjecture,
( perp(X1,X2,esk21_0,esk22_0)
| ~ para(X1,X2,esk27_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_306,c_0_92]) ).
cnf(c_0_349,negated_conjecture,
( para(X1,X2,esk27_0,esk25_0)
| ~ perp(X2,X1,esk21_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_74,c_0_334]) ).
cnf(c_0_350,negated_conjecture,
( perp(esk21_0,X1,esk21_0,esk22_0)
| ~ perp(esk24_0,esk21_0,esk21_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_335]),c_0_336])]) ).
cnf(c_0_351,negated_conjecture,
( perp(esk24_0,esk21_0,esk21_0,esk28_0)
| ~ perp(esk21_0,esk25_0,esk28_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_133,c_0_337]) ).
cnf(c_0_352,plain,
( para(X1,X2,X3,X4)
| ~ midp(esk6_6(X4,X5,X6,X2,X7,X8),X1,X3)
| ~ midp(X8,X6,X2)
| ~ midp(X7,X4,X5) ),
inference(spm,[status(thm)],[c_0_338,c_0_339]) ).
cnf(c_0_353,negated_conjecture,
( midp(X1,esk22_0,esk22_0)
| ~ midp(X1,esk21_0,esk21_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_340]),c_0_340])]) ).
cnf(c_0_354,negated_conjecture,
perp(esk22_0,esk21_0,esk25_0,esk27_0),
inference(spm,[status(thm)],[c_0_133,c_0_203]) ).
cnf(c_0_355,negated_conjecture,
perp(esk23_0,esk22_0,esk22_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_161])]) ).
cnf(c_0_356,negated_conjecture,
( midp(esk23_0,esk23_0,esk21_0)
| ~ midp(esk21_0,esk22_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_209,c_0_341]) ).
cnf(c_0_357,negated_conjecture,
cong(esk21_0,esk21_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_211,c_0_342]) ).
cnf(c_0_358,negated_conjecture,
( midp(esk23_0,esk23_0,esk22_0)
| ~ midp(esk21_0,esk22_0,esk21_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_344]),c_0_345])]) ).
cnf(c_0_359,negated_conjecture,
( midp(esk21_0,X1,esk21_0)
| ~ midp(esk22_0,X1,esk22_0)
| ~ coll(esk21_0,X1,esk21_0) ),
inference(spm,[status(thm)],[c_0_166,c_0_258]) ).
cnf(c_0_360,negated_conjecture,
( perp(X1,X2,esk22_0,esk23_0)
| ~ para(X1,X2,esk22_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_306,c_0_346]) ).
cnf(c_0_361,negated_conjecture,
( para(X1,X2,esk22_0,esk23_0)
| ~ perp(X2,X1,esk21_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_74,c_0_347]) ).
cnf(c_0_362,negated_conjecture,
( perp(X1,X2,esk21_0,esk22_0)
| ~ perp(X2,X1,esk21_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_348,c_0_349]) ).
cnf(c_0_363,negated_conjecture,
( perp(esk21_0,esk28_0,esk21_0,esk22_0)
| ~ perp(esk21_0,esk25_0,esk28_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_350,c_0_351]) ).
fof(c_0_364,plain,
! [X639,X640,X641,X642,X643,X644,X645,X646] :
( ~ eqangle(X639,X640,X641,X642,X643,X644,X645,X646)
| eqangle(X643,X644,X645,X646,X639,X640,X641,X642) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).
cnf(c_0_365,negated_conjecture,
eqangle(esk21_0,esk24_0,X1,X2,esk21_0,esk24_0,X1,X2),
inference(spm,[status(thm)],[c_0_94,c_0_71]) ).
cnf(c_0_366,plain,
( para(X1,X1,X2,X2)
| ~ midp(X3,X4,X1)
| ~ midp(X5,X2,X6) ),
inference(spm,[status(thm)],[c_0_352,c_0_339]) ).
cnf(c_0_367,negated_conjecture,
( midp(X1,esk21_0,esk21_0)
| ~ midp(X1,esk24_0,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_83]),c_0_83])]) ).
cnf(c_0_368,negated_conjecture,
( midp(esk24_0,X1,esk24_0)
| ~ midp(esk21_0,X1,esk21_0)
| ~ coll(esk24_0,X1,esk24_0) ),
inference(spm,[status(thm)],[c_0_166,c_0_71]) ).
cnf(c_0_369,negated_conjecture,
coll(esk24_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_101,c_0_95]) ).
cnf(c_0_370,negated_conjecture,
( midp(X1,esk23_0,esk23_0)
| ~ midp(X1,esk21_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_330,c_0_353]) ).
cnf(c_0_371,negated_conjecture,
( perp(X1,X2,esk25_0,esk27_0)
| ~ para(X1,X2,esk22_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_306,c_0_354]) ).
cnf(c_0_372,negated_conjecture,
( para(X1,X2,esk22_0,esk21_0)
| ~ perp(X1,X2,esk23_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_355]) ).
cnf(c_0_373,plain,
( para(X1,X2,X2,X2)
| ~ cong(X2,X2,X2,X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_246]) ).
cnf(c_0_374,negated_conjecture,
( cong(esk23_0,esk23_0,esk23_0,esk21_0)
| ~ midp(esk21_0,esk22_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_211,c_0_356]) ).
cnf(c_0_375,negated_conjecture,
( midp(X1,esk21_0,esk21_0)
| ~ midp(X1,esk21_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_261,c_0_357]) ).
cnf(c_0_376,plain,
( eqangle(X1,X1,X2,X3,X4,X1,X2,X3)
| ~ cong(X1,X1,X1,X4) ),
inference(spm,[status(thm)],[c_0_94,c_0_246]) ).
cnf(c_0_377,negated_conjecture,
( cong(esk23_0,esk23_0,esk23_0,esk22_0)
| ~ midp(esk21_0,esk22_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_211,c_0_358]) ).
cnf(c_0_378,negated_conjecture,
midp(esk21_0,esk22_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_293]),c_0_84])]) ).
cnf(c_0_379,negated_conjecture,
( perp(X1,X2,esk22_0,esk23_0)
| ~ perp(X2,X1,esk21_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_360,c_0_361]) ).
cnf(c_0_380,negated_conjecture,
( perp(esk28_0,esk21_0,esk21_0,esk22_0)
| ~ perp(esk21_0,esk25_0,esk28_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_362,c_0_363]) ).
cnf(c_0_381,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_364]) ).
cnf(c_0_382,negated_conjecture,
eqangle(esk21_0,esk24_0,esk21_0,esk25_0,esk28_0,esk21_0,esk28_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_365]),c_0_304])]) ).
cnf(c_0_383,negated_conjecture,
( para(esk24_0,esk24_0,X1,X1)
| ~ midp(X2,esk21_0,esk21_0)
| ~ midp(X3,X1,X4) ),
inference(spm,[status(thm)],[c_0_366,c_0_189]) ).
cnf(c_0_384,negated_conjecture,
( midp(esk24_0,esk21_0,esk21_0)
| ~ midp(esk21_0,esk24_0,esk21_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_368]),c_0_369])]) ).
cnf(c_0_385,negated_conjecture,
( cong(X1,esk23_0,X1,esk23_0)
| ~ midp(X1,esk21_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_211,c_0_370]) ).
cnf(c_0_386,negated_conjecture,
( perp(X1,X2,esk25_0,esk27_0)
| ~ perp(X1,X2,esk23_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_371,c_0_372]) ).
cnf(c_0_387,negated_conjecture,
( perp(X1,X2,esk23_0,esk22_0)
| ~ para(X1,X2,esk21_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_306,c_0_283]) ).
cnf(c_0_388,negated_conjecture,
perp(esk21_0,esk23_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_133,c_0_218]) ).
cnf(c_0_389,negated_conjecture,
( para(X1,X2,esk21_0,esk22_0)
| ~ perp(X1,X2,esk23_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_199]) ).
cnf(c_0_390,plain,
( eqangle(X1,X2,X3,X4,X2,X2,X3,X4)
| ~ cong(X2,X2,X2,X1) ),
inference(spm,[status(thm)],[c_0_94,c_0_373]) ).
cnf(c_0_391,negated_conjecture,
( cong(esk23_0,esk23_0,esk23_0,esk21_0)
| ~ midp(esk21_0,esk21_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_374,c_0_353]) ).
cnf(c_0_392,negated_conjecture,
midp(esk21_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_375,c_0_342]) ).
cnf(c_0_393,plain,
( perp(X1,X1,X2,X3)
| ~ cong(X1,X1,X1,X4)
| ~ perp(X4,X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_311,c_0_376]) ).
cnf(c_0_394,negated_conjecture,
cong(esk23_0,esk23_0,esk23_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_377,c_0_378])]) ).
cnf(c_0_395,negated_conjecture,
( perp(esk21_0,esk28_0,esk22_0,esk23_0)
| ~ perp(esk21_0,esk25_0,esk28_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_379,c_0_380]) ).
cnf(c_0_396,negated_conjecture,
eqangle(esk28_0,esk21_0,esk28_0,esk25_0,esk21_0,esk24_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_381,c_0_382]) ).
cnf(c_0_397,negated_conjecture,
( para(X1,X2,esk21_0,esk22_0)
| ~ perp(X1,X2,esk25_0,esk27_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_226]) ).
cnf(c_0_398,negated_conjecture,
( para(esk24_0,esk24_0,X1,X1)
| ~ midp(esk21_0,esk24_0,esk21_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_383,c_0_384]) ).
cnf(c_0_399,negated_conjecture,
cong(esk24_0,esk23_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_385,c_0_213]) ).
cnf(c_0_400,negated_conjecture,
( perp(X1,X2,esk25_0,esk27_0)
| ~ perp(X3,X4,esk23_0,esk22_0)
| ~ para(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_306,c_0_386]) ).
cnf(c_0_401,negated_conjecture,
( perp(esk23_0,esk22_0,esk23_0,esk22_0)
| ~ perp(esk21_0,esk22_0,esk22_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_387,c_0_225]) ).
cnf(c_0_402,negated_conjecture,
( perp(X1,X2,esk25_0,esk26_0)
| ~ para(X1,X2,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_306,c_0_388]) ).
cnf(c_0_403,negated_conjecture,
( para(esk21_0,esk22_0,X1,X2)
| ~ perp(X1,X2,esk23_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_74,c_0_389]) ).
cnf(c_0_404,plain,
( perp(X1,X2,X3,X4)
| ~ cong(X2,X2,X2,X1)
| ~ perp(X2,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_311,c_0_390]) ).
cnf(c_0_405,negated_conjecture,
cong(esk23_0,esk23_0,esk23_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_391,c_0_392])]) ).
cnf(c_0_406,negated_conjecture,
( perp(esk23_0,esk23_0,X1,X2)
| ~ perp(esk22_0,esk23_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_393,c_0_394]) ).
cnf(c_0_407,negated_conjecture,
( perp(esk22_0,esk23_0,esk21_0,esk28_0)
| ~ perp(esk21_0,esk25_0,esk28_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_395]) ).
cnf(c_0_408,negated_conjecture,
eqangle(esk28_0,esk21_0,esk28_0,esk25_0,esk28_0,esk21_0,esk28_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_396]),c_0_304])]) ).
fof(c_0_409,plain,
! [X1048,X1049,X1050,X1051,X1052] :
( ( coll(esk17_5(X1048,X1049,X1050,X1051,X1052),X1051,X1052)
| ~ perp(X1048,X1050,X1050,X1049)
| ~ coll(X1049,X1051,X1052) )
& ( perp(esk17_5(X1048,X1049,X1050,X1051,X1052),X1048,X1051,X1052)
| ~ perp(X1048,X1050,X1050,X1049)
| ~ coll(X1049,X1051,X1052) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX15])])])])]) ).
cnf(c_0_410,negated_conjecture,
( perp(X1,X2,esk22_0,esk23_0)
| ~ perp(X1,X2,esk25_0,esk27_0) ),
inference(spm,[status(thm)],[c_0_319,c_0_397]) ).
cnf(c_0_411,negated_conjecture,
( para(esk24_0,esk24_0,X1,X1)
| ~ midp(X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_398,c_0_231])]) ).
cnf(c_0_412,negated_conjecture,
midp(esk24_0,esk23_0,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_399]),c_0_252])]) ).
cnf(c_0_413,negated_conjecture,
( perp(X1,X1,esk25_0,esk27_0)
| ~ cong(X1,X1,X1,X2)
| ~ perp(X1,X2,esk23_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_400,c_0_228]) ).
cnf(c_0_414,negated_conjecture,
perp(esk23_0,esk22_0,esk23_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_401,c_0_332])]) ).
cnf(c_0_415,negated_conjecture,
( perp(esk21_0,esk22_0,esk25_0,esk26_0)
| ~ perp(esk21_0,esk23_0,esk23_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_402,c_0_403]) ).
cnf(c_0_416,plain,
( perp(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ perp(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_311,c_0_208]) ).
cnf(c_0_417,negated_conjecture,
perp(esk26_0,esk25_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_133,c_0_175]) ).
cnf(c_0_418,negated_conjecture,
( perp(esk21_0,esk23_0,X1,X2)
| ~ perp(esk23_0,esk23_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_404,c_0_405]) ).
cnf(c_0_419,negated_conjecture,
( perp(esk23_0,esk23_0,esk21_0,esk28_0)
| ~ perp(esk21_0,esk25_0,esk28_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_406,c_0_407]) ).
cnf(c_0_420,negated_conjecture,
( perp(esk21_0,esk25_0,esk25_0,esk28_0)
| ~ coll(esk24_0,esk21_0,esk28_0) ),
inference(spm,[status(thm)],[c_0_130,c_0_272]) ).
cnf(c_0_421,negated_conjecture,
para(esk28_0,esk21_0,esk28_0,esk21_0),
inference(spm,[status(thm)],[c_0_207,c_0_408]) ).
cnf(c_0_422,negated_conjecture,
( midp(esk24_0,X1,esk21_0)
| ~ midp(esk21_0,X1,esk24_0)
| ~ coll(esk24_0,X1,esk21_0) ),
inference(spm,[status(thm)],[c_0_166,c_0_75]) ).
cnf(c_0_423,plain,
( perp(esk17_5(X1,X2,X3,X4,X5),X1,X4,X5)
| ~ perp(X1,X3,X3,X2)
| ~ coll(X2,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_409]) ).
cnf(c_0_424,negated_conjecture,
( perp(X1,X2,esk22_0,esk23_0)
| ~ perp(X3,X4,esk25_0,esk27_0)
| ~ para(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_306,c_0_410]) ).
cnf(c_0_425,negated_conjecture,
para(esk24_0,esk24_0,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_411,c_0_412]) ).
cnf(c_0_426,negated_conjecture,
perp(esk23_0,esk23_0,esk25_0,esk27_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_394]),c_0_414])]) ).
cnf(c_0_427,negated_conjecture,
( perp(esk25_0,esk26_0,esk21_0,esk22_0)
| ~ perp(esk21_0,esk23_0,esk23_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_415]) ).
cnf(c_0_428,negated_conjecture,
perp(esk21_0,esk23_0,esk23_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_324]),c_0_199])]) ).
cnf(c_0_429,negated_conjecture,
perp(esk23_0,esk21_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_55,c_0_417]) ).
cnf(c_0_430,negated_conjecture,
( perp(esk21_0,esk23_0,esk21_0,esk28_0)
| ~ perp(esk21_0,esk25_0,esk28_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_418,c_0_419]) ).
cnf(c_0_431,negated_conjecture,
( perp(esk21_0,esk25_0,esk28_0,esk25_0)
| ~ coll(esk24_0,esk21_0,esk28_0) ),
inference(spm,[status(thm)],[c_0_133,c_0_420]) ).
cnf(c_0_432,negated_conjecture,
coll(esk28_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_82,c_0_421]) ).
cnf(c_0_433,negated_conjecture,
( midp(esk24_0,esk21_0,X1)
| ~ midp(esk21_0,X1,esk24_0)
| ~ coll(esk24_0,X1,esk21_0) ),
inference(spm,[status(thm)],[c_0_209,c_0_422]) ).
cnf(c_0_434,plain,
( perp(esk17_5(esk12_4(X1,X2,X3,X4),X4,X1,X5,X6),esk12_4(X1,X2,X3,X4),X5,X6)
| ~ circle(X4,X1,X2,X3)
| ~ coll(X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_423,c_0_54]) ).
cnf(c_0_435,negated_conjecture,
perp(esk24_0,esk24_0,esk22_0,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_425]),c_0_426])]) ).
cnf(c_0_436,negated_conjecture,
perp(esk25_0,esk26_0,esk21_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_427,c_0_428])]) ).
cnf(c_0_437,negated_conjecture,
perp(esk23_0,esk21_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_133,c_0_429]) ).
cnf(c_0_438,negated_conjecture,
( perp(esk21_0,esk23_0,esk21_0,esk28_0)
| ~ coll(esk24_0,esk21_0,esk28_0) ),
inference(spm,[status(thm)],[c_0_430,c_0_431]) ).
cnf(c_0_439,negated_conjecture,
coll(esk21_0,esk28_0,esk21_0),
inference(spm,[status(thm)],[c_0_72,c_0_432]) ).
cnf(c_0_440,negated_conjecture,
( cong(esk24_0,esk21_0,esk24_0,X1)
| ~ midp(esk21_0,X1,esk24_0)
| ~ coll(esk24_0,X1,esk21_0) ),
inference(spm,[status(thm)],[c_0_211,c_0_433]) ).
cnf(c_0_441,plain,
( para(X1,X2,X3,X4)
| ~ circle(X5,X6,X7,X8)
| ~ perp(X1,X2,esk17_5(esk12_4(X6,X7,X8,X5),X5,X6,X3,X4),esk12_4(X6,X7,X8,X5))
| ~ coll(X5,X3,X4) ),
inference(spm,[status(thm)],[c_0_53,c_0_434]) ).
cnf(c_0_442,plain,
( perp(X1,X2,esk17_5(esk12_4(X3,X4,X5,X6),X6,X3,X1,X2),esk12_4(X3,X4,X5,X6))
| ~ circle(X6,X3,X4,X5)
| ~ coll(X6,X1,X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_434]) ).
cnf(c_0_443,negated_conjecture,
perp(esk22_0,esk23_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_55,c_0_435]) ).
cnf(c_0_444,negated_conjecture,
( perp(X1,X2,esk21_0,esk22_0)
| ~ para(X1,X2,esk25_0,esk26_0) ),
inference(spm,[status(thm)],[c_0_306,c_0_436]) ).
cnf(c_0_445,negated_conjecture,
( para(X1,X2,esk25_0,esk26_0)
| ~ perp(X1,X2,esk23_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_437]) ).
cnf(c_0_446,negated_conjecture,
( perp(esk21_0,esk28_0,esk21_0,esk23_0)
| ~ coll(esk24_0,esk21_0,esk28_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_438]) ).
cnf(c_0_447,negated_conjecture,
( coll(X1,esk24_0,esk21_0)
| ~ coll(esk21_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_91]) ).
cnf(c_0_448,negated_conjecture,
coll(esk21_0,esk21_0,esk28_0),
inference(spm,[status(thm)],[c_0_61,c_0_439]) ).
cnf(c_0_449,negated_conjecture,
( cong(esk24_0,esk21_0,esk24_0,esk24_0)
| ~ midp(esk21_0,esk21_0,esk21_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_189]),c_0_145])]) ).
cnf(c_0_450,plain,
( para(X1,X2,X1,X2)
| ~ circle(X3,X4,X5,X6)
| ~ coll(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_441,c_0_442]) ).
cnf(c_0_451,negated_conjecture,
( perp(X1,X2,esk24_0,esk24_0)
| ~ para(X1,X2,esk22_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_306,c_0_443]) ).
cnf(c_0_452,negated_conjecture,
( perp(X1,X2,esk21_0,esk22_0)
| ~ perp(X1,X2,esk23_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_444,c_0_445]) ).
cnf(c_0_453,negated_conjecture,
( perp(esk21_0,esk28_0,esk23_0,esk21_0)
| ~ coll(esk24_0,esk21_0,esk28_0) ),
inference(spm,[status(thm)],[c_0_133,c_0_446]) ).
cnf(c_0_454,negated_conjecture,
coll(esk28_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_447,c_0_448]) ).
cnf(c_0_455,negated_conjecture,
cong(esk24_0,esk21_0,esk24_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_449,c_0_392])]) ).
cnf(c_0_456,negated_conjecture,
( para(X1,X2,X1,X2)
| ~ coll(esk24_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_450,c_0_65]) ).
cnf(c_0_457,negated_conjecture,
( perp(X1,X2,esk24_0,esk24_0)
| ~ perp(X2,X1,esk21_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_451,c_0_361]) ).
cnf(c_0_458,negated_conjecture,
( perp(esk21_0,esk28_0,esk21_0,esk22_0)
| ~ coll(esk24_0,esk21_0,esk28_0) ),
inference(spm,[status(thm)],[c_0_452,c_0_453]) ).
cnf(c_0_459,negated_conjecture,
coll(esk24_0,esk28_0,esk21_0),
inference(spm,[status(thm)],[c_0_72,c_0_454]) ).
cnf(c_0_460,negated_conjecture,
midp(esk24_0,esk21_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_455]),c_0_95])]) ).
cnf(c_0_461,negated_conjecture,
( para(X1,X2,X2,X1)
| ~ coll(esk24_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_70,c_0_456]) ).
fof(c_0_462,plain,
! [X681,X682,X683,X684,X685,X686,X687,X688] :
( ~ eqratio(X681,X682,X683,X684,X685,X686,X687,X688)
| eqratio(X682,X681,X683,X684,X685,X686,X687,X688) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD26])]) ).
fof(c_0_463,plain,
! [X926,X927,X928,X929,X930,X931] :
( ~ midp(X930,X926,X927)
| ~ midp(X931,X928,X929)
| eqratio(X930,X926,X926,X927,X931,X928,X928,X929) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).
cnf(c_0_464,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_317]) ).
cnf(c_0_465,negated_conjecture,
( perp(esk28_0,esk21_0,esk24_0,esk24_0)
| ~ coll(esk24_0,esk21_0,esk28_0) ),
inference(spm,[status(thm)],[c_0_457,c_0_458]) ).
cnf(c_0_466,negated_conjecture,
coll(esk24_0,esk21_0,esk28_0),
inference(spm,[status(thm)],[c_0_61,c_0_459]) ).
cnf(c_0_467,negated_conjecture,
midp(esk24_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_209,c_0_460]) ).
cnf(c_0_468,negated_conjecture,
( para(X1,X2,X2,X1)
| ~ coll(esk24_0,X2,X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_461]) ).
fof(c_0_469,plain,
! [X956,X957,X958,X959,X960,X961,X962,X963] :
( ~ eqratio(X956,X957,X958,X959,X960,X961,X962,X963)
| ~ cong(X960,X961,X962,X963)
| cong(X956,X957,X958,X959) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).
cnf(c_0_470,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_462]) ).
cnf(c_0_471,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_463]) ).
cnf(c_0_472,plain,
( para(esk6_6(X1,X2,X3,X4,X5,X6),X6,X3,X1)
| ~ midp(X6,X3,X4)
| ~ midp(X5,X1,X2) ),
inference(spm,[status(thm)],[c_0_70,c_0_464]) ).
cnf(c_0_473,negated_conjecture,
perp(esk28_0,esk21_0,esk24_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_465,c_0_466])]) ).
cnf(c_0_474,negated_conjecture,
midp(esk21_0,esk24_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_467]),c_0_89])]) ).
cnf(c_0_475,negated_conjecture,
( para(X1,X2,X1,X2)
| ~ coll(esk24_0,X2,X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_468]) ).
cnf(c_0_476,negated_conjecture,
coll(esk28_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_101,c_0_466]) ).
cnf(c_0_477,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_469]) ).
cnf(c_0_478,plain,
( eqratio(X1,X2,X1,X3,X4,X5,X5,X6)
| ~ midp(X4,X5,X6)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_470,c_0_471]) ).
cnf(c_0_479,plain,
( midp(X1,X2,X3)
| ~ midp(esk6_6(X3,X4,X5,X6,X7,X1),X2,X5)
| ~ midp(X1,X5,X6)
| ~ midp(X7,X3,X4)
| ~ coll(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_166,c_0_472]) ).
cnf(c_0_480,negated_conjecture,
cong(esk28_0,esk24_0,esk28_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_473]),c_0_474])]) ).
cnf(c_0_481,negated_conjecture,
( coll(X1,X2,X2)
| ~ coll(esk24_0,X2,X1) ),
inference(spm,[status(thm)],[c_0_82,c_0_475]) ).
cnf(c_0_482,negated_conjecture,
coll(esk24_0,esk28_0,esk24_0),
inference(spm,[status(thm)],[c_0_72,c_0_476]) ).
cnf(c_0_483,plain,
( cong(X1,X2,X1,X3)
| ~ cong(X4,X5,X5,X6)
| ~ midp(X4,X5,X6)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_477,c_0_478]) ).
cnf(c_0_484,plain,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3)
| ~ midp(X4,X2,X5)
| ~ coll(X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_479,c_0_327]) ).
cnf(c_0_485,negated_conjecture,
midp(esk28_0,esk24_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_480]),c_0_476])]) ).
cnf(c_0_486,negated_conjecture,
( coll(X1,X2,X2)
| ~ coll(esk24_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_456]) ).
cnf(c_0_487,negated_conjecture,
coll(esk24_0,esk28_0,esk28_0),
inference(spm,[status(thm)],[c_0_481,c_0_482]) ).
cnf(c_0_488,negated_conjecture,
( cong(X1,X2,X1,X3)
| ~ midp(X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_262]),c_0_279])]) ).
fof(c_0_489,plain,
! [X631,X632,X633,X634,X635,X636,X637,X638] :
( ~ eqangle(X631,X632,X633,X634,X635,X636,X637,X638)
| eqangle(X633,X634,X631,X632,X637,X638,X635,X636) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
cnf(c_0_490,negated_conjecture,
( midp(esk28_0,X1,X1)
| ~ midp(X2,X1,X3)
| ~ coll(esk28_0,X1,X1) ),
inference(spm,[status(thm)],[c_0_484,c_0_485]) ).
cnf(c_0_491,negated_conjecture,
coll(esk28_0,esk28_0,esk28_0),
inference(spm,[status(thm)],[c_0_486,c_0_487]) ).
cnf(c_0_492,negated_conjecture,
cong(esk24_0,esk28_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_488,c_0_485]) ).
cnf(c_0_493,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_489]) ).
cnf(c_0_494,plain,
( eqangle(X1,X1,X2,X3,X1,X4,X2,X3)
| ~ cong(X1,X1,X1,X4) ),
inference(spm,[status(thm)],[c_0_94,c_0_228]) ).
cnf(c_0_495,negated_conjecture,
( midp(esk28_0,esk28_0,esk28_0)
| ~ midp(X1,esk28_0,X2) ),
inference(spm,[status(thm)],[c_0_490,c_0_491]) ).
cnf(c_0_496,negated_conjecture,
midp(esk24_0,esk28_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_492]),c_0_482])]) ).
cnf(c_0_497,plain,
( eqangle(X1,X2,X3,X3,X1,X2,X3,X4)
| ~ cong(X3,X3,X3,X4) ),
inference(spm,[status(thm)],[c_0_493,c_0_494]) ).
cnf(c_0_498,negated_conjecture,
midp(esk28_0,esk28_0,esk28_0),
inference(spm,[status(thm)],[c_0_495,c_0_496]) ).
cnf(c_0_499,plain,
( para(X1,X2,X1,X2)
| ~ cong(X3,X3,X3,X3) ),
inference(spm,[status(thm)],[c_0_207,c_0_497]) ).
cnf(c_0_500,negated_conjecture,
cong(esk28_0,esk28_0,esk28_0,esk28_0),
inference(spm,[status(thm)],[c_0_211,c_0_498]) ).
cnf(c_0_501,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_499,c_0_500]) ).
cnf(c_0_502,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_82,c_0_501]) ).
cnf(c_0_503,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_72,c_0_502]) ).
cnf(c_0_504,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_501]),c_0_501])]) ).
cnf(c_0_505,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_61,c_0_503]) ).
fof(c_0_506,plain,
! [X671,X672,X673,X674] :
( ~ cong(X671,X672,X673,X674)
| cong(X673,X674,X671,X672) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_507,negated_conjecture,
midp(esk28_0,X1,X1),
inference(spm,[status(thm)],[c_0_504,c_0_498]) ).
cnf(c_0_508,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_505]),c_0_505])]) ).
cnf(c_0_509,plain,
( midp(X1,X2,X1)
| ~ cong(X1,X1,X1,X3)
| ~ midp(X1,X2,X3)
| ~ coll(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_166,c_0_246]) ).
cnf(c_0_510,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_506]) ).
cnf(c_0_511,negated_conjecture,
cong(X1,esk28_0,X1,X1),
inference(spm,[status(thm)],[c_0_488,c_0_507]) ).
cnf(c_0_512,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_190,c_0_508])]) ).
cnf(c_0_513,plain,
( eqangle(X1,X2,X1,X3,X3,X2,X1,X2)
| ~ cong(X3,X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_493,c_0_312]) ).
cnf(c_0_514,plain,
( midp(X1,X2,X1)
| ~ cong(X1,X1,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_509,c_0_503])]) ).
cnf(c_0_515,negated_conjecture,
cong(X1,X1,X1,esk28_0),
inference(spm,[status(thm)],[c_0_510,c_0_511]) ).
cnf(c_0_516,negated_conjecture,
midp(X1,esk28_0,X1),
inference(spm,[status(thm)],[c_0_512,c_0_511]) ).
cnf(c_0_517,plain,
( para(X1,X2,X2,X2)
| ~ cong(X2,X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_207,c_0_513]) ).
cnf(c_0_518,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X1,X2,esk28_0) ),
inference(spm,[status(thm)],[c_0_514,c_0_515]) ).
cnf(c_0_519,negated_conjecture,
midp(X1,X1,esk28_0),
inference(spm,[status(thm)],[c_0_209,c_0_516]) ).
cnf(c_0_520,plain,
( para(X1,X1,X2,X1)
| ~ cong(X1,X2,X1,X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_517]) ).
cnf(c_0_521,negated_conjecture,
midp(X1,X1,X1),
inference(spm,[status(thm)],[c_0_518,c_0_519]) ).
cnf(c_0_522,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X2,X1,X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_520]) ).
cnf(c_0_523,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_504,c_0_521]) ).
cnf(c_0_524,plain,
( para(X1,X2,X1,X1)
| ~ cong(X1,X2,X1,X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_522]) ).
cnf(c_0_525,negated_conjecture,
cong(X1,X2,X1,X1),
inference(spm,[status(thm)],[c_0_488,c_0_523]) ).
cnf(c_0_526,plain,
para(X1,X2,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_524,c_0_525])]) ).
cnf(c_0_527,plain,
para(X1,X1,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_522,c_0_525])]) ).
cnf(c_0_528,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_317]) ).
fof(c_0_529,plain,
! [X597,X598,X599,X600] :
( ~ cong(X600,X597,X600,X598)
| ~ cong(X600,X597,X600,X599)
| circle(X600,X597,X598,X599) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD12])]) ).
cnf(c_0_530,plain,
midp(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_526]),c_0_523]),c_0_527])]) ).
cnf(c_0_531,plain,
( para(X1,X2,X3,X4)
| ~ midp(X5,X3,X6)
| ~ midp(X7,X4,X8)
| ~ para(X1,X2,esk6_6(X4,X8,X3,X6,X7,X5),X5) ),
inference(spm,[status(thm)],[c_0_176,c_0_472]) ).
cnf(c_0_532,plain,
( para(X1,X2,esk6_6(X3,X1,X4,X2,X5,X6),X5)
| ~ midp(X6,X4,X2)
| ~ midp(X5,X3,X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_528]) ).
fof(c_0_533,plain,
! [X835,X836,X837,X838,X839] :
( ~ circle(X838,X835,X836,X837)
| ~ midp(X839,X836,X837)
| eqangle(X835,X836,X835,X837,X838,X836,X838,X839) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD50])]) ).
cnf(c_0_534,plain,
( circle(X1,X2,X3,X4)
| ~ cong(X1,X2,X1,X3)
| ~ cong(X1,X2,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_529]) ).
cnf(c_0_535,negated_conjecture,
cong(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_488,c_0_530])]) ).
cnf(c_0_536,plain,
( para(X1,X2,X3,X4)
| ~ midp(X5,X3,X2)
| ~ midp(X5,X4,X1) ),
inference(spm,[status(thm)],[c_0_531,c_0_532]) ).
cnf(c_0_537,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_533]) ).
cnf(c_0_538,plain,
circle(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_534,c_0_535]),c_0_535])]) ).
cnf(c_0_539,plain,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_536,c_0_530]),c_0_530])]) ).
cnf(c_0_540,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_537,c_0_530])]),c_0_538])]) ).
fof(c_0_541,plain,
! [X2,X13,X6,X5,X3] :
( ( eqangle(X6,X5,X5,X13,X3,X5,X5,X2)
& ( eqangle(X5,X6,X6,X13,X5,X3,X3,X2)
| eqangle(X6,X5,X5,X13,X3,X5,X5,X2) )
& ( eqangle(X5,X6,X6,X13,X5,X2,X2,X3)
| eqangle(X6,X5,X5,X13,X5,X3,X3,X2) )
& ( eqangle(X5,X6,X6,X13,X3,X5,X5,X2)
| eqangle(X6,X5,X5,X13,X5,X3,X3,X2) )
& ( eqangle(X5,X6,X6,X13,X5,X2,X2,X3)
| eqangle(X6,X5,X5,X13,X5,X2,X2,X3) )
& ( eqangle(X5,X6,X6,X13,X3,X5,X5,X2)
| eqangle(X6,X5,X5,X13,X5,X2,X2,X3) ) )
=> epred1_5(X3,X5,X6,X13,X2) ),
inference(split_equiv,[status(thm)],[c_0_48]) ).
cnf(c_0_542,plain,
eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_539])]) ).
cnf(c_0_543,plain,
eqangle(X1,X2,X2,X3,X4,X1,X4,X5),
inference(spm,[status(thm)],[c_0_296,c_0_540]) ).
fof(c_0_544,plain,
! [X1079,X1080,X1081,X1082,X1083] :
( ( ~ eqangle(X1082,X1081,X1081,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1082,X1081,X1081,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| epred1_5(X1083,X1082,X1081,X1080,X1079) )
& ( ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1082,X1081,X1081,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| epred1_5(X1083,X1082,X1081,X1080,X1079) )
& ( ~ eqangle(X1082,X1081,X1081,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1082,X1081,X1081,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| epred1_5(X1083,X1082,X1081,X1080,X1079) )
& ( ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1082,X1081,X1081,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| epred1_5(X1083,X1082,X1081,X1080,X1079) )
& ( ~ eqangle(X1082,X1081,X1081,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| epred1_5(X1083,X1082,X1081,X1080,X1079) )
& ( ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| epred1_5(X1083,X1082,X1081,X1080,X1079) )
& ( ~ eqangle(X1082,X1081,X1081,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| epred1_5(X1083,X1082,X1081,X1080,X1079) )
& ( ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| epred1_5(X1083,X1082,X1081,X1080,X1079) )
& ( ~ eqangle(X1082,X1081,X1081,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1082,X1081,X1081,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| epred1_5(X1083,X1082,X1081,X1080,X1079) )
& ( ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1082,X1081,X1081,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| epred1_5(X1083,X1082,X1081,X1080,X1079) )
& ( ~ eqangle(X1082,X1081,X1081,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1082,X1081,X1081,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| epred1_5(X1083,X1082,X1081,X1080,X1079) )
& ( ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1082,X1081,X1081,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| epred1_5(X1083,X1082,X1081,X1080,X1079) )
& ( ~ eqangle(X1082,X1081,X1081,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| epred1_5(X1083,X1082,X1081,X1080,X1079) )
& ( ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| epred1_5(X1083,X1082,X1081,X1080,X1079) )
& ( ~ eqangle(X1082,X1081,X1081,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| epred1_5(X1083,X1082,X1081,X1080,X1079) )
& ( ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| epred1_5(X1083,X1082,X1081,X1080,X1079) )
& ( ~ eqangle(X1082,X1081,X1081,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1082,X1081,X1081,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| epred1_5(X1083,X1082,X1081,X1080,X1079) )
& ( ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1082,X1081,X1081,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| epred1_5(X1083,X1082,X1081,X1080,X1079) )
& ( ~ eqangle(X1082,X1081,X1081,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1082,X1081,X1081,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| epred1_5(X1083,X1082,X1081,X1080,X1079) )
& ( ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1082,X1081,X1081,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| epred1_5(X1083,X1082,X1081,X1080,X1079) )
& ( ~ eqangle(X1082,X1081,X1081,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| epred1_5(X1083,X1082,X1081,X1080,X1079) )
& ( ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| epred1_5(X1083,X1082,X1081,X1080,X1079) )
& ( ~ eqangle(X1082,X1081,X1081,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| epred1_5(X1083,X1082,X1081,X1080,X1079) )
& ( ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| epred1_5(X1083,X1082,X1081,X1080,X1079) )
& ( ~ eqangle(X1082,X1081,X1081,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1082,X1081,X1081,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| epred1_5(X1083,X1082,X1081,X1080,X1079) )
& ( ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1082,X1081,X1081,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| epred1_5(X1083,X1082,X1081,X1080,X1079) )
& ( ~ eqangle(X1082,X1081,X1081,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1082,X1081,X1081,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| epred1_5(X1083,X1082,X1081,X1080,X1079) )
& ( ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1082,X1081,X1081,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| epred1_5(X1083,X1082,X1081,X1080,X1079) )
& ( ~ eqangle(X1082,X1081,X1081,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| epred1_5(X1083,X1082,X1081,X1080,X1079) )
& ( ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1082,X1081,X1081,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| epred1_5(X1083,X1082,X1081,X1080,X1079) )
& ( ~ eqangle(X1082,X1081,X1081,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| epred1_5(X1083,X1082,X1081,X1080,X1079) )
& ( ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1079,X1079,X1083)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1082,X1083,X1083,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| ~ eqangle(X1081,X1082,X1082,X1080,X1083,X1082,X1082,X1079)
| epred1_5(X1083,X1082,X1081,X1080,X1079) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_541])])]) ).
cnf(c_0_545,plain,
eqangle(X1,X2,X3,X4,X1,X2,X5,X6),
inference(spm,[status(thm)],[c_0_493,c_0_542]) ).
cnf(c_0_546,plain,
eqangle(X1,X2,X1,X3,X2,X4,X4,X5),
inference(spm,[status(thm)],[c_0_381,c_0_543]) ).
cnf(c_0_547,plain,
( epred1_5(X5,X2,X1,X3,X4)
| ~ 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_544]) ).
cnf(c_0_548,plain,
eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
inference(spm,[status(thm)],[c_0_315,c_0_545]) ).
cnf(c_0_549,plain,
eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
inference(spm,[status(thm)],[c_0_315,c_0_542]) ).
cnf(c_0_550,negated_conjecture,
( ~ epred1_5(esk23_0,esk25_0,esk26_0,esk27_0,esk22_0)
| ~ eqangle(esk25_0,esk26_0,esk26_0,esk27_0,esk25_0,esk23_0,esk23_0,esk22_0) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_551,plain,
eqangle(X1,X2,X2,X3,X1,X4,X4,X5),
inference(spm,[status(thm)],[c_0_296,c_0_546]) ).
cnf(c_0_552,plain,
( epred1_5(X5,X2,X1,X3,X4)
| ~ 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_547]) ).
cnf(c_0_553,plain,
eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_548]),c_0_549])]) ).
cnf(c_0_554,negated_conjecture,
~ epred1_5(esk23_0,esk25_0,esk26_0,esk27_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_550,c_0_551])]) ).
cnf(c_0_555,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_552,c_0_553]),c_0_553]),c_0_553])]) ).
cnf(c_0_556,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_554,c_0_555])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO610+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
% 0.15/0.32 % Computer : n023.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Mon May 4 18:05:23 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 53.12/29.94 % Version : CSE_E---1.7
% 53.12/29.94 % Problem : theBenchmark.p
% 53.12/29.94 % SZS status Theorem for theBenchmark.p
% 53.12/29.94 % SZS output start CNFRefutation
% See solution above
% 53.25/30.10 % Total time : 24.438s
%------------------------------------------------------------------------------