TSTP Solution File: GEO610+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO610+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n016.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 : Wed Aug 30 22:48:51 EDT 2023
% Result : Theorem 23.00s 23.09s
% Output : CNFRefutation 23.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 84
% Syntax : Number of formulae : 441 ( 99 unt; 40 typ; 0 def)
% Number of atoms : 1120 ( 0 equ)
% Maximal formula atoms : 224 ( 2 avg)
% Number of connectives : 1295 ( 576 ~; 584 |; 88 &)
% ( 1 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 143 ( 32 >; 111 *; 0 +; 0 <<)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-8 aty)
% Number of functors : 28 ( 28 usr; 8 con; 0-6 aty)
% Number of variables : 1203 ( 101 sgn; 445 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
coll: ( $i * $i * $i ) > $o ).
tff(decl_23,type,
para: ( $i * $i * $i * $i ) > $o ).
tff(decl_24,type,
perp: ( $i * $i * $i * $i ) > $o ).
tff(decl_25,type,
midp: ( $i * $i * $i ) > $o ).
tff(decl_26,type,
cong: ( $i * $i * $i * $i ) > $o ).
tff(decl_27,type,
circle: ( $i * $i * $i * $i ) > $o ).
tff(decl_28,type,
cyclic: ( $i * $i * $i * $i ) > $o ).
tff(decl_29,type,
eqangle: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_30,type,
eqratio: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_31,type,
simtri: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_32,type,
contri: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_33,type,
epred1_5: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_34,type,
esk1_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_35,type,
esk2_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_36,type,
esk3_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_37,type,
esk4_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_38,type,
esk5_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_39,type,
esk6_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_40,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_41,type,
esk8_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_42,type,
esk9_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_43,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_44,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_45,type,
esk12_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_46,type,
esk13_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_47,type,
esk14_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_48,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_50,type,
esk17_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_51,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
esk20_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_54,type,
esk21_0: $i ).
tff(decl_55,type,
esk22_0: $i ).
tff(decl_56,type,
esk23_0: $i ).
tff(decl_57,type,
esk24_0: $i ).
tff(decl_58,type,
esk25_0: $i ).
tff(decl_59,type,
esk26_0: $i ).
tff(decl_60,type,
esk27_0: $i ).
tff(decl_61,type,
esk28_0: $i ).
fof(ruleD39,axiom,
! [X1,X2,X3,X4,X9,X10] :
( eqangle(X1,X2,X9,X10,X3,X4,X9,X10)
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(ruleD19,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X3,X4,X1,X2,X11,X12,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(ruleD9,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( perp(X1,X2,X3,X4)
& perp(X3,X4,X5,X6) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(ruleD8,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(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/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618072) ).
fof(ruleD42b,axiom,
! [X1,X2,X9,X10] :
( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
& coll(X9,X10,X2) )
=> cyclic(X1,X2,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(ruleD40,axiom,
! [X1,X2,X3,X4,X9,X10] :
( para(X1,X2,X3,X4)
=> eqangle(X1,X2,X9,X10,X3,X4,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(ruleD42a,axiom,
! [X1,X2,X9,X10] :
( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
& ~ coll(X9,X10,X1) )
=> cyclic(X1,X2,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).
fof(ruleD16,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X2,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(ruleD15,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X3,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X3)
& coll(X1,X2,X4) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(ruleD14,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
fof(ruleD20,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X9,X10,X11,X12,X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
fof(ruleD41,axiom,
! [X1,X2,X9,X10] :
( cyclic(X1,X2,X9,X10)
=> eqangle(X9,X1,X9,X2,X10,X1,X10,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(ruleD51,axiom,
! [X1,X2,X3,X8,X7] :
( ( circle(X8,X1,X2,X3)
& coll(X7,X2,X3)
& eqangle(X1,X2,X1,X3,X8,X2,X8,X7) )
=> midp(X7,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD51) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(ruleD74,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
& perp(X9,X10,X11,X12) )
=> perp(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
fof(ruleD46,axiom,
! [X1,X2,X8] :
( cong(X8,X1,X8,X2)
=> eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(ruleD24,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(ruleD23,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(ruleD43,axiom,
! [X1,X2,X3,X9,X10,X15] :
( ( cyclic(X1,X2,X3,X9)
& cyclic(X1,X2,X3,X10)
& cyclic(X1,X2,X3,X15)
& eqangle(X3,X1,X3,X2,X15,X9,X15,X10) )
=> cong(X1,X2,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(ruleD7,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
fof(ruleD56,axiom,
! [X1,X2,X9,X10] :
( ( cong(X1,X9,X2,X9)
& cong(X1,X10,X2,X10) )
=> perp(X1,X2,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(ruleX11,axiom,
! [X1,X2,X3,X8] :
? [X9] :
( circle(X8,X1,X2,X3)
=> perp(X9,X1,X1,X8) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(ruleD5,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(ruleD10,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( para(X1,X2,X3,X4)
& perp(X3,X4,X5,X6) )
=> perp(X1,X2,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
fof(ruleD45,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& para(X5,X6,X2,X3)
& coll(X6,X1,X3) )
=> midp(X6,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(ruleD53,axiom,
! [X1,X2,X3,X8] :
( ( circle(X8,X1,X2,X3)
& coll(X8,X1,X3) )
=> perp(X1,X2,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
fof(ruleD55,axiom,
! [X1,X2,X7,X8] :
( ( midp(X7,X1,X2)
& perp(X8,X7,X1,X2) )
=> cong(X8,X1,X8,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
fof(ruleD67,axiom,
! [X1,X2,X3] :
( ( cong(X1,X2,X1,X3)
& coll(X1,X2,X3) )
=> midp(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(ruleD25,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( cong(X1,X2,X3,X4)
& cong(X3,X4,X5,X6) )
=> cong(X1,X2,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
fof(ruleD52,axiom,
! [X1,X2,X3,X7] :
( ( perp(X1,X2,X2,X3)
& midp(X7,X1,X3) )
=> cong(X1,X7,X2,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
fof(ruleD18,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X2,X1,X3,X4,X9,X10,X11,X12) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
fof(ruleD50,axiom,
! [X1,X2,X3,X8,X7] :
( ( circle(X8,X1,X2,X3)
& midp(X7,X2,X3) )
=> eqangle(X1,X2,X1,X3,X8,X2,X8,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD50) ).
fof(ruleD12,axiom,
! [X1,X2,X3,X8] :
( ( cong(X8,X1,X8,X2)
& cong(X8,X1,X8,X3) )
=> circle(X8,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
fof(ruleD21,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X1,X2,X9,X10,X3,X4,X11,X12) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(ruleD22,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12,X5,X6,X13,X14] :
( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
& eqangle(X9,X10,X11,X12,X5,X6,X13,X14) )
=> eqangle(X1,X2,X3,X4,X5,X6,X13,X14) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(c_0_43,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_44,plain,
! [X249,X250,X251,X252,X253,X254] :
( ~ eqangle(X249,X250,X253,X254,X251,X252,X253,X254)
| para(X249,X250,X251,X252) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
fof(c_0_45,plain,
! [X101,X102,X103,X104,X105,X106,X107,X108] :
( ~ eqangle(X101,X102,X103,X104,X105,X106,X107,X108)
| eqangle(X103,X104,X101,X102,X107,X108,X105,X106) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_46,plain,
! [X52,X53,X54,X55,X56,X57] :
( ~ perp(X52,X53,X54,X55)
| ~ perp(X54,X55,X56,X57)
| para(X52,X53,X56,X57) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_47,plain,
! [X48,X49,X50,X51] :
( ~ perp(X48,X49,X50,X51)
| perp(X50,X51,X48,X49) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_48,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_43]) ).
fof(c_0_49,plain,
! [X269,X270,X271,X272] :
( ~ eqangle(X271,X269,X271,X270,X272,X269,X272,X270)
| ~ coll(X271,X272,X270)
| cyclic(X269,X270,X271,X272) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_50,plain,
! [X255,X256,X257,X258,X259,X260] :
( ~ para(X255,X256,X257,X258)
| eqangle(X255,X256,X259,X260,X257,X258,X259,X260) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
cnf(c_0_51,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_52,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_45]) ).
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_46]) ).
cnf(c_0_54,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_55,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_48])])]) ).
fof(c_0_56,plain,
! [X1,X2,X9,X10] :
( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
& ~ coll(X9,X10,X1) )
=> cyclic(X1,X2,X9,X10) ),
inference(fof_simplification,[status(thm)],[ruleD42a]) ).
fof(c_0_57,plain,
! [X84,X85,X86,X87] :
( ~ cyclic(X84,X85,X86,X87)
| cyclic(X85,X84,X86,X87) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_58,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_49]) ).
cnf(c_0_59,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_60,plain,
( para(X1,X2,X3,X4)
| ~ eqangle(X5,X6,X1,X2,X5,X6,X3,X4) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_61,plain,
( para(X1,X2,X3,X4)
| ~ perp(X1,X2,X5,X6)
| ~ perp(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_62,negated_conjecture,
perp(esk27_0,esk25_0,esk21_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
fof(c_0_63,plain,
! [X23,X24,X25] :
( ~ coll(X23,X24,X25)
| coll(X24,X23,X25) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
fof(c_0_64,plain,
! [X20,X21,X22] :
( ~ coll(X20,X21,X22)
| coll(X20,X22,X21) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
fof(c_0_65,plain,
! [X80,X81,X82,X83] :
( ~ cyclic(X80,X81,X82,X83)
| cyclic(X80,X82,X81,X83) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
fof(c_0_66,plain,
! [X265,X266,X267,X268] :
( ~ eqangle(X267,X265,X267,X266,X268,X265,X268,X266)
| coll(X267,X268,X265)
| cyclic(X265,X266,X267,X268) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])]) ).
cnf(c_0_67,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_68,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_69,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_60,c_0_59]) ).
cnf(c_0_70,negated_conjecture,
( para(esk27_0,esk25_0,X1,X2)
| ~ perp(X1,X2,esk21_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
fof(c_0_71,plain,
! [X26,X27,X28,X29] :
( ~ coll(X26,X27,X28)
| ~ coll(X26,X27,X29)
| coll(X28,X29,X26) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_72,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_73,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
fof(c_0_74,plain,
! [X76,X77,X78,X79] :
( ~ cyclic(X76,X77,X78,X79)
| cyclic(X76,X77,X79,X78) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_75,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_76,plain,
( coll(X1,X4,X2)
| cyclic(X2,X3,X1,X4)
| ~ eqangle(X1,X2,X1,X3,X4,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_77,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X2,X3,X2)
| ~ coll(X3,X3,X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_78,negated_conjecture,
para(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_62])]) ).
cnf(c_0_79,negated_conjecture,
coll(esk27_0,esk21_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_80,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_81,plain,
( coll(X1,X2,X3)
| ~ coll(X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
fof(c_0_82,plain,
! [X109,X110,X111,X112,X113,X114,X115,X116] :
( ~ eqangle(X109,X110,X111,X112,X113,X114,X115,X116)
| eqangle(X113,X114,X115,X116,X109,X110,X111,X112) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).
fof(c_0_83,plain,
! [X261,X262,X263,X264] :
( ~ cyclic(X261,X262,X263,X264)
| eqangle(X263,X261,X263,X262,X264,X261,X264,X262) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
fof(c_0_84,plain,
! [X384,X385,X386] :
( ~ para(X384,X385,X384,X386)
| coll(X384,X385,X386) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_85,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_86,plain,
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X2,X3,X1,X4) ),
inference(spm,[status(thm)],[c_0_67,c_0_75]) ).
cnf(c_0_87,plain,
( cyclic(X1,X2,X3,X3)
| coll(X3,X3,X1)
| ~ para(X3,X1,X3,X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_59]) ).
cnf(c_0_88,plain,
( cyclic(X1,X2,X3,X3)
| ~ coll(X3,X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_78])]) ).
cnf(c_0_89,negated_conjecture,
coll(esk21_0,esk27_0,esk22_0),
inference(spm,[status(thm)],[c_0_72,c_0_79]) ).
cnf(c_0_90,plain,
( coll(X1,X2,X3)
| ~ coll(X3,X4,X1)
| ~ coll(X3,X2,X4) ),
inference(spm,[status(thm)],[c_0_80,c_0_73]) ).
cnf(c_0_91,negated_conjecture,
coll(esk22_0,esk27_0,esk21_0),
inference(spm,[status(thm)],[c_0_81,c_0_79]) ).
fof(c_0_92,plain,
! [X310,X311,X312,X313,X314] :
( ~ circle(X313,X310,X311,X312)
| ~ coll(X314,X311,X312)
| ~ eqangle(X310,X311,X310,X312,X313,X311,X313,X314)
| midp(X314,X311,X312) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])]) ).
cnf(c_0_93,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_82]) ).
cnf(c_0_94,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_95,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
fof(c_0_96,plain,
! [X88,X89,X90,X91,X92] :
( ~ cyclic(X88,X89,X90,X91)
| ~ cyclic(X88,X89,X90,X92)
| cyclic(X89,X90,X91,X92) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_97,plain,
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X2,X4,X1,X3) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_98,plain,
cyclic(X1,X2,X3,X3),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_78])]),c_0_88]) ).
cnf(c_0_99,negated_conjecture,
coll(esk26_0,esk21_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_100,plain,
( coll(X1,X2,X3)
| ~ coll(X3,X4,X1)
| ~ coll(X4,X3,X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_72]) ).
cnf(c_0_101,negated_conjecture,
coll(esk21_0,esk22_0,esk27_0),
inference(spm,[status(thm)],[c_0_73,c_0_89]) ).
cnf(c_0_102,negated_conjecture,
( coll(esk21_0,X1,esk22_0)
| ~ coll(esk22_0,X1,esk27_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_103,negated_conjecture,
coll(esk22_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_73,c_0_91]) ).
fof(c_0_104,plain,
! [X418,X419,X420,X421,X422,X423,X424,X425] :
( ~ eqangle(X418,X419,X420,X421,X422,X423,X424,X425)
| ~ perp(X422,X423,X424,X425)
| perp(X418,X419,X420,X421) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD74])]) ).
fof(c_0_105,plain,
! [X289,X290,X291] :
( ~ cong(X291,X289,X291,X290)
| eqangle(X291,X289,X289,X290,X289,X290,X291,X290) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_106,plain,
( midp(X5,X3,X4)
| ~ circle(X1,X2,X3,X4)
| ~ coll(X5,X3,X4)
| ~ eqangle(X2,X3,X2,X4,X1,X3,X1,X5) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_107,plain,
( eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
| ~ cyclic(X2,X3,X4,X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_108,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_95,c_0_78]) ).
cnf(c_0_109,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_110,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
fof(c_0_111,plain,
! [X141,X142,X143,X144] :
( ~ cong(X141,X142,X143,X144)
| cong(X143,X144,X141,X142) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
fof(c_0_112,plain,
! [X137,X138,X139,X140] :
( ~ cong(X137,X138,X139,X140)
| cong(X137,X138,X140,X139) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
fof(c_0_113,plain,
! [X273,X274,X275,X276,X277,X278] :
( ~ cyclic(X273,X274,X275,X276)
| ~ cyclic(X273,X274,X275,X277)
| ~ cyclic(X273,X274,X275,X278)
| ~ eqangle(X275,X273,X275,X274,X278,X276,X278,X277)
| cong(X273,X274,X276,X277) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])]) ).
cnf(c_0_114,negated_conjecture,
coll(esk23_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_81,c_0_99]) ).
cnf(c_0_115,negated_conjecture,
( coll(esk22_0,X1,esk21_0)
| ~ coll(esk27_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_89]) ).
cnf(c_0_116,negated_conjecture,
( coll(esk27_0,X1,esk21_0)
| ~ coll(esk21_0,X1,esk22_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_101]) ).
cnf(c_0_117,negated_conjecture,
coll(esk21_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_118,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_104]) ).
cnf(c_0_119,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
fof(c_0_120,plain,
! [X390,X391,X392] :
( ~ midp(X390,X391,X392)
| cong(X390,X391,X390,X392) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_121,plain,
( midp(X1,X2,X1)
| ~ cyclic(X2,X1,X3,X4)
| ~ circle(X3,X4,X2,X1)
| ~ coll(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_122,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_72,c_0_108]) ).
cnf(c_0_123,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_110])]) ).
cnf(c_0_124,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_125,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_126,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_113]) ).
cnf(c_0_127,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ eqangle(X7,X8,X5,X6,X3,X4,X1,X2) ),
inference(spm,[status(thm)],[c_0_93,c_0_52]) ).
cnf(c_0_128,negated_conjecture,
coll(esk21_0,esk26_0,esk23_0),
inference(spm,[status(thm)],[c_0_72,c_0_99]) ).
cnf(c_0_129,plain,
( coll(X1,X2,X3)
| ~ coll(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_73,c_0_72]) ).
cnf(c_0_130,negated_conjecture,
( coll(X1,esk22_0,esk27_0)
| ~ coll(esk27_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_79]) ).
cnf(c_0_131,negated_conjecture,
( coll(esk21_0,X1,esk23_0)
| ~ coll(esk23_0,X1,esk26_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_114]) ).
cnf(c_0_132,negated_conjecture,
coll(esk23_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_73,c_0_114]) ).
cnf(c_0_133,negated_conjecture,
( coll(X1,esk27_0,esk21_0)
| ~ coll(esk21_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_101]) ).
cnf(c_0_134,negated_conjecture,
coll(esk22_0,esk21_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117])]) ).
fof(c_0_135,plain,
! [X44,X45,X46,X47] :
( ~ perp(X44,X45,X46,X47)
| perp(X44,X45,X47,X46) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])]) ).
cnf(c_0_136,plain,
( perp(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ perp(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_137,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_138,plain,
( midp(X1,X2,X1)
| ~ circle(X3,X4,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_122])]),c_0_123])]) ).
cnf(c_0_139,negated_conjecture,
circle(esk24_0,esk21_0,esk25_0,esk28_0),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
fof(c_0_140,plain,
! [X331,X332,X333,X334] :
( ~ cong(X331,X333,X332,X333)
| ~ cong(X331,X334,X332,X334)
| perp(X331,X332,X333,X334) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).
cnf(c_0_141,plain,
( cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X2,X1) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_142,plain,
( cong(X1,X2,X3,X4)
| ~ eqangle(X5,X4,X5,X3,X6,X2,X6,X1)
| ~ cyclic(X1,X2,X6,X5)
| ~ cyclic(X1,X2,X6,X4)
| ~ cyclic(X1,X2,X6,X3) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_143,plain,
( eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
| ~ cyclic(X3,X2,X4,X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_107]) ).
cnf(c_0_144,negated_conjecture,
( coll(X1,esk23_0,esk26_0)
| ~ coll(esk26_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_99]) ).
cnf(c_0_145,negated_conjecture,
coll(esk21_0,esk23_0,esk26_0),
inference(spm,[status(thm)],[c_0_73,c_0_128]) ).
cnf(c_0_146,negated_conjecture,
( coll(esk22_0,esk27_0,X1)
| ~ coll(esk27_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_147,negated_conjecture,
coll(esk21_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_148,negated_conjecture,
( coll(X1,esk21_0,esk27_0)
| ~ coll(esk21_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_133]) ).
cnf(c_0_149,negated_conjecture,
coll(esk21_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_72,c_0_134]) ).
fof(c_0_150,plain,
! [X494,X495,X496,X497] :
( ~ circle(X497,X494,X495,X496)
| perp(esk12_4(X494,X495,X496,X497),X494,X494,X497) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
cnf(c_0_151,negated_conjecture,
( coll(X1,esk22_0,esk27_0)
| ~ coll(X1,esk27_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_130,c_0_129]) ).
cnf(c_0_152,plain,
( coll(X1,X2,X3)
| ~ coll(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_81]) ).
cnf(c_0_153,negated_conjecture,
( coll(X1,esk22_0,esk21_0)
| ~ coll(esk21_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_117]) ).
cnf(c_0_154,negated_conjecture,
( coll(esk27_0,X1,esk22_0)
| ~ coll(esk22_0,X1,esk21_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_103]) ).
cnf(c_0_155,plain,
( perp(X1,X2,X4,X3)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_135]) ).
cnf(c_0_156,plain,
( perp(X1,X2,X2,X3)
| ~ midp(X1,X2,X3)
| ~ perp(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_157,negated_conjecture,
midp(esk28_0,esk25_0,esk28_0),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_158,plain,
( perp(X1,X3,X2,X4)
| ~ cong(X1,X2,X3,X2)
| ~ cong(X1,X4,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_159,plain,
( cong(X1,X2,X3,X4)
| ~ cong(X2,X1,X4,X3) ),
inference(spm,[status(thm)],[c_0_141,c_0_141]) ).
cnf(c_0_160,plain,
( cong(X1,X2,X3,X4)
| ~ eqangle(X5,X4,X5,X3,X6,X2,X6,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_123]),c_0_123]),c_0_123])]) ).
cnf(c_0_161,plain,
eqangle(X1,X2,X1,X3,X4,X2,X4,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_123])]) ).
cnf(c_0_162,negated_conjecture,
( coll(esk23_0,esk26_0,X1)
| ~ coll(esk26_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_129,c_0_144]) ).
cnf(c_0_163,negated_conjecture,
( coll(X1,esk26_0,esk21_0)
| ~ coll(esk21_0,esk23_0,X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_145]) ).
cnf(c_0_164,negated_conjecture,
( coll(esk22_0,esk27_0,X1)
| ~ coll(esk27_0,X1,esk21_0) ),
inference(spm,[status(thm)],[c_0_146,c_0_73]) ).
cnf(c_0_165,negated_conjecture,
( coll(X1,esk23_0,esk21_0)
| ~ coll(esk21_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_147]) ).
cnf(c_0_166,negated_conjecture,
coll(esk21_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
fof(c_0_167,plain,
! [X30,X31,X32,X33] :
( ~ para(X30,X31,X32,X33)
| para(X30,X31,X33,X32) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
fof(c_0_168,plain,
! [X34,X35,X36,X37] :
( ~ para(X34,X35,X36,X37)
| para(X36,X37,X34,X35) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_169,plain,
( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_150]) ).
cnf(c_0_170,negated_conjecture,
coll(esk22_0,esk22_0,esk27_0),
inference(spm,[status(thm)],[c_0_130,c_0_79]) ).
cnf(c_0_171,negated_conjecture,
( coll(X1,esk22_0,esk27_0)
| ~ coll(X1,esk21_0,esk27_0) ),
inference(spm,[status(thm)],[c_0_151,c_0_73]) ).
cnf(c_0_172,negated_conjecture,
( coll(X1,esk21_0,esk27_0)
| ~ coll(X1,esk22_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_148,c_0_152]) ).
cnf(c_0_173,negated_conjecture,
( coll(X1,esk22_0,esk21_0)
| ~ coll(X1,esk21_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_153,c_0_129]) ).
cnf(c_0_174,negated_conjecture,
( coll(X1,esk27_0,esk22_0)
| ~ coll(esk22_0,X1,esk21_0) ),
inference(spm,[status(thm)],[c_0_72,c_0_154]) ).
cnf(c_0_175,negated_conjecture,
( coll(esk22_0,X1,esk21_0)
| ~ coll(esk21_0,X1,esk21_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_117]) ).
fof(c_0_176,plain,
! [X58,X59,X60,X61,X62,X63] :
( ~ para(X58,X59,X60,X61)
| ~ perp(X60,X61,X62,X63)
| perp(X58,X59,X62,X63) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD10])]) ).
cnf(c_0_177,plain,
( perp(X1,X2,X1,X3)
| ~ cyclic(X2,X3,X1,X4)
| ~ perp(X4,X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_118,c_0_94]) ).
cnf(c_0_178,plain,
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X2,X1,X4,X3) ),
inference(spm,[status(thm)],[c_0_67,c_0_85]) ).
cnf(c_0_179,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X4,X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_155,c_0_54]) ).
cnf(c_0_180,negated_conjecture,
( perp(esk28_0,esk25_0,esk25_0,esk28_0)
| ~ perp(esk25_0,esk28_0,esk28_0,esk28_0) ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_181,plain,
( perp(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ cong(X2,X3,X3,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_158]),c_0_159]) ).
cnf(c_0_182,plain,
cong(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_183,negated_conjecture,
coll(esk23_0,esk26_0,esk23_0),
inference(spm,[status(thm)],[c_0_162,c_0_99]) ).
cnf(c_0_184,negated_conjecture,
( coll(esk23_0,X1,esk26_0)
| ~ coll(esk26_0,X1,esk21_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_99]) ).
cnf(c_0_185,negated_conjecture,
( coll(X1,esk26_0,esk21_0)
| ~ coll(X1,esk23_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_163,c_0_152]) ).
cnf(c_0_186,negated_conjecture,
( coll(X1,esk21_0,esk22_0)
| ~ coll(esk22_0,esk27_0,X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_91]) ).
cnf(c_0_187,negated_conjecture,
coll(esk22_0,esk27_0,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_166])]) ).
cnf(c_0_188,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_167]) ).
cnf(c_0_189,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_168]) ).
cnf(c_0_190,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_169]) ).
cnf(c_0_191,plain,
( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_54,c_0_169]) ).
cnf(c_0_192,negated_conjecture,
( coll(X1,esk27_0,esk22_0)
| ~ coll(esk22_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_170]) ).
cnf(c_0_193,negated_conjecture,
( coll(esk27_0,esk22_0,X1)
| ~ coll(X1,esk21_0,esk27_0) ),
inference(spm,[status(thm)],[c_0_152,c_0_171]) ).
cnf(c_0_194,negated_conjecture,
( coll(X1,esk21_0,esk27_0)
| ~ coll(X1,esk21_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_195,negated_conjecture,
( coll(X1,esk27_0,esk22_0)
| ~ coll(esk21_0,X1,esk21_0) ),
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
fof(c_0_196,plain,
! [X284,X285,X286,X287,X288] :
( ~ midp(X287,X284,X285)
| ~ para(X287,X288,X285,X286)
| ~ coll(X288,X284,X286)
| midp(X288,X284,X286) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_197,plain,
( perp(X1,X2,X5,X6)
| ~ para(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_198,plain,
( perp(X1,X2,X1,X3)
| ~ cyclic(X3,X2,X4,X1)
| ~ perp(X4,X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_177,c_0_178]) ).
cnf(c_0_199,negated_conjecture,
( perp(esk25_0,esk28_0,esk25_0,esk28_0)
| ~ perp(esk25_0,esk28_0,esk28_0,esk28_0) ),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_200,plain,
perp(X1,X2,X2,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_182])]) ).
cnf(c_0_201,negated_conjecture,
( coll(esk23_0,X1,esk23_0)
| ~ coll(esk23_0,X1,esk26_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_183]) ).
cnf(c_0_202,negated_conjecture,
( coll(esk23_0,X1,esk26_0)
| ~ coll(X1,esk21_0,esk26_0) ),
inference(spm,[status(thm)],[c_0_184,c_0_81]) ).
cnf(c_0_203,negated_conjecture,
( coll(X1,esk21_0,esk26_0)
| ~ coll(X1,esk23_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_73,c_0_185]) ).
cnf(c_0_204,negated_conjecture,
( coll(X1,esk23_0,esk21_0)
| ~ coll(X1,esk21_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_165,c_0_129]) ).
cnf(c_0_205,negated_conjecture,
coll(esk23_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_206,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_188]) ).
cnf(c_0_207,plain,
( para(X1,X2,X3,X4)
| ~ para(X3,X4,X2,X1) ),
inference(spm,[status(thm)],[c_0_189,c_0_188]) ).
cnf(c_0_208,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_209,negated_conjecture,
circle(esk24_0,esk21_0,esk22_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_210,negated_conjecture,
( coll(X1,esk27_0,esk22_0)
| ~ coll(X1,esk22_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_192,c_0_129]) ).
cnf(c_0_211,negated_conjecture,
( coll(esk27_0,esk22_0,X1)
| ~ coll(X1,esk21_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_212,negated_conjecture,
( coll(X1,esk27_0,esk22_0)
| ~ coll(X1,esk21_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_195,c_0_72]) ).
cnf(c_0_213,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_196]) ).
cnf(c_0_214,negated_conjecture,
perp(esk26_0,esk25_0,esk21_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_215,negated_conjecture,
( coll(esk27_0,esk21_0,X1)
| ~ coll(X1,esk21_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_152,c_0_194]) ).
cnf(c_0_216,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X5,X6,X3,X4)
| ~ para(X5,X6,X1,X2) ),
inference(spm,[status(thm)],[c_0_197,c_0_189]) ).
cnf(c_0_217,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_62]) ).
cnf(c_0_218,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X2,X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_155]) ).
cnf(c_0_219,plain,
( perp(X1,X2,X1,X3)
| ~ perp(X4,X2,X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_198,c_0_123])]) ).
cnf(c_0_220,negated_conjecture,
perp(esk25_0,esk28_0,esk25_0,esk28_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_199,c_0_200])]) ).
cnf(c_0_221,negated_conjecture,
( coll(esk23_0,X1,esk23_0)
| ~ coll(X1,esk21_0,esk26_0) ),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_222,negated_conjecture,
( coll(X1,esk21_0,esk26_0)
| ~ coll(X1,esk21_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_203,c_0_204]) ).
fof(c_0_223,plain,
! [X319,X320,X321,X322] :
( ~ circle(X322,X319,X320,X321)
| ~ coll(X322,X319,X321)
| perp(X319,X320,X320,X321) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD53])]) ).
cnf(c_0_224,negated_conjecture,
coll(esk21_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_129,c_0_205]) ).
cnf(c_0_225,plain,
( coll(X1,X2,X3)
| ~ para(X3,X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_226,negated_conjecture,
para(esk21_0,esk24_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_227,negated_conjecture,
( coll(esk22_0,X1,X2)
| ~ coll(X2,esk22_0,esk22_0)
| ~ coll(X2,X1,esk27_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_210]) ).
cnf(c_0_228,plain,
( coll(X1,X2,X3)
| ~ coll(X3,X4,X1)
| ~ coll(X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_80,c_0_129]) ).
cnf(c_0_229,negated_conjecture,
coll(esk27_0,esk22_0,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_211,c_0_108])]) ).
cnf(c_0_230,negated_conjecture,
coll(X1,esk27_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_108])]) ).
cnf(c_0_231,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X3,X5)
| ~ coll(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_213,c_0_188]) ).
cnf(c_0_232,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_214]) ).
cnf(c_0_233,plain,
( coll(X1,X2,X3)
| ~ coll(X4,X3,X2)
| ~ coll(X4,X3,X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_72]) ).
cnf(c_0_234,negated_conjecture,
coll(esk27_0,esk21_0,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_215,c_0_108])]) ).
cnf(c_0_235,negated_conjecture,
( perp(esk21_0,esk22_0,X1,X2)
| ~ perp(X3,X4,esk27_0,esk25_0)
| ~ perp(X3,X4,X1,X2) ),
inference(spm,[status(thm)],[c_0_216,c_0_217]) ).
cnf(c_0_236,plain,
perp(X1,X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_182]),c_0_182])]) ).
cnf(c_0_237,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X4,X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_155,c_0_218]) ).
cnf(c_0_238,negated_conjecture,
perp(X1,esk28_0,X1,esk28_0),
inference(spm,[status(thm)],[c_0_219,c_0_220]) ).
cnf(c_0_239,negated_conjecture,
( coll(esk23_0,X1,esk23_0)
| ~ coll(X1,esk21_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_221,c_0_222]) ).
fof(c_0_240,plain,
! [X327,X328,X329,X330] :
( ~ midp(X329,X327,X328)
| ~ perp(X330,X329,X327,X328)
| cong(X330,X327,X330,X328) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD55])]) ).
cnf(c_0_241,plain,
( perp(X2,X3,X3,X4)
| ~ circle(X1,X2,X3,X4)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_223]) ).
cnf(c_0_242,negated_conjecture,
( coll(esk23_0,X1,esk21_0)
| ~ coll(esk21_0,X1,esk22_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_224]) ).
cnf(c_0_243,negated_conjecture,
( coll(esk22_0,esk27_0,X1)
| ~ coll(X1,esk27_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_146,c_0_129]) ).
cnf(c_0_244,negated_conjecture,
coll(esk24_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_225,c_0_226]) ).
cnf(c_0_245,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X5,X3,X4,X1)
| ~ coll(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_213,c_0_189]) ).
cnf(c_0_246,negated_conjecture,
( coll(esk22_0,X1,X2)
| ~ coll(X2,X1,esk27_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_108])]) ).
cnf(c_0_247,negated_conjecture,
coll(X1,X2,esk27_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_230])]) ).
cnf(c_0_248,negated_conjecture,
( midp(X1,X2,esk21_0)
| ~ midp(X3,X2,esk23_0)
| ~ perp(X3,X1,esk26_0,esk25_0)
| ~ coll(X1,X2,esk21_0) ),
inference(spm,[status(thm)],[c_0_231,c_0_232]) ).
cnf(c_0_249,negated_conjecture,
coll(X1,X2,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_234])]) ).
cnf(c_0_250,negated_conjecture,
( perp(X1,X2,X3,X4)
| ~ perp(esk21_0,esk22_0,X3,X4)
| ~ perp(X1,X2,esk27_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_197,c_0_217]) ).
cnf(c_0_251,negated_conjecture,
perp(esk21_0,esk22_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_236])]) ).
cnf(c_0_252,negated_conjecture,
perp(esk28_0,X1,esk28_0,X1),
inference(spm,[status(thm)],[c_0_237,c_0_238]) ).
cnf(c_0_253,plain,
( coll(X1,X2,X3)
| ~ coll(X3,X2,X4)
| ~ coll(X3,X1,X4) ),
inference(spm,[status(thm)],[c_0_90,c_0_73]) ).
cnf(c_0_254,negated_conjecture,
coll(esk23_0,X1,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_239,c_0_108])]) ).
cnf(c_0_255,plain,
( cong(X4,X2,X4,X3)
| ~ midp(X1,X2,X3)
| ~ perp(X4,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_240]) ).
cnf(c_0_256,negated_conjecture,
( perp(esk21_0,esk22_0,esk22_0,esk23_0)
| ~ coll(esk24_0,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_241,c_0_209]) ).
cnf(c_0_257,negated_conjecture,
( coll(X1,esk21_0,esk23_0)
| ~ coll(esk21_0,X1,esk22_0) ),
inference(spm,[status(thm)],[c_0_129,c_0_242]) ).
cnf(c_0_258,negated_conjecture,
( coll(X1,X2,esk22_0)
| ~ coll(esk22_0,esk27_0,X1)
| ~ coll(X2,esk27_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_80,c_0_243]) ).
cnf(c_0_259,negated_conjecture,
coll(esk21_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_129,c_0_244]) ).
cnf(c_0_260,negated_conjecture,
( coll(esk21_0,X1,esk21_0)
| ~ coll(esk21_0,X1,esk22_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_149]) ).
cnf(c_0_261,negated_conjecture,
coll(esk21_0,esk22_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_171]),c_0_103])]) ).
cnf(c_0_262,negated_conjecture,
( midp(esk22_0,X1,X2)
| ~ midp(esk21_0,X1,X3)
| ~ perp(X3,X2,esk27_0,esk25_0)
| ~ coll(esk22_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_245,c_0_217]) ).
cnf(c_0_263,negated_conjecture,
coll(esk22_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_246,c_0_247])]) ).
cnf(c_0_264,negated_conjecture,
( midp(X1,X2,esk21_0)
| ~ midp(X3,X2,esk23_0)
| ~ perp(X3,X1,esk26_0,esk25_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_248,c_0_249])]) ).
cnf(c_0_265,negated_conjecture,
midp(esk23_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_138,c_0_209]) ).
cnf(c_0_266,negated_conjecture,
( perp(X1,X2,X3,X4)
| ~ perp(X1,X2,esk27_0,esk25_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_250,c_0_251])]) ).
cnf(c_0_267,negated_conjecture,
perp(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_219,c_0_252]) ).
fof(c_0_268,plain,
! [X387,X388,X389] :
( ~ cong(X387,X388,X387,X389)
| ~ coll(X387,X388,X389)
| midp(X387,X388,X389) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_269,negated_conjecture,
coll(X1,X2,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_254])]) ).
cnf(c_0_270,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ perp(X2,X3,X1,X4) ),
inference(spm,[status(thm)],[c_0_255,c_0_54]) ).
cnf(c_0_271,negated_conjecture,
( perp(esk21_0,esk22_0,esk23_0,esk22_0)
| ~ coll(esk24_0,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_155,c_0_256]) ).
cnf(c_0_272,negated_conjecture,
( coll(X1,esk21_0,esk23_0)
| ~ coll(X1,esk27_0,esk21_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_91])]) ).
cnf(c_0_273,negated_conjecture,
( coll(esk24_0,X1,esk21_0)
| ~ coll(esk21_0,X1,esk21_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_259]) ).
cnf(c_0_274,negated_conjecture,
coll(esk21_0,esk27_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_210]),c_0_261])]) ).
cnf(c_0_275,negated_conjecture,
( midp(esk22_0,X1,X2)
| ~ midp(esk21_0,X1,X3)
| ~ perp(X3,X2,esk27_0,esk25_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_262,c_0_263])]) ).
cnf(c_0_276,negated_conjecture,
( midp(X1,esk22_0,esk21_0)
| ~ perp(esk23_0,X1,esk26_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_264,c_0_265]) ).
cnf(c_0_277,negated_conjecture,
perp(esk23_0,esk21_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_218,c_0_214]) ).
cnf(c_0_278,negated_conjecture,
perp(esk27_0,esk25_0,X1,X2),
inference(spm,[status(thm)],[c_0_266,c_0_267]) ).
cnf(c_0_279,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_268]) ).
cnf(c_0_280,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_269]),c_0_269])]) ).
cnf(c_0_281,negated_conjecture,
( cong(esk23_0,esk21_0,esk23_0,esk22_0)
| ~ midp(esk22_0,esk21_0,esk22_0)
| ~ coll(esk24_0,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_270,c_0_271]) ).
cnf(c_0_282,negated_conjecture,
coll(esk24_0,esk21_0,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_274])]) ).
fof(c_0_283,plain,
! [X64,X65,X66] :
( ~ midp(X66,X65,X64)
| midp(X66,X64,X65) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_284,negated_conjecture,
( midp(esk22_0,esk22_0,X1)
| ~ perp(esk21_0,X1,esk27_0,esk25_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_285,negated_conjecture,
perp(X1,X2,esk27_0,esk25_0),
inference(spm,[status(thm)],[c_0_54,c_0_278]) ).
cnf(c_0_286,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_279,c_0_280])]) ).
cnf(c_0_287,negated_conjecture,
( cong(esk23_0,esk21_0,esk23_0,esk22_0)
| ~ midp(esk22_0,esk21_0,esk22_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_281,c_0_282])]) ).
cnf(c_0_288,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_283]) ).
cnf(c_0_289,negated_conjecture,
midp(esk22_0,esk22_0,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_284,c_0_285])]) ).
fof(c_0_290,plain,
! [X145,X146,X147,X148,X149,X150] :
( ~ cong(X145,X146,X147,X148)
| ~ cong(X147,X148,X149,X150)
| cong(X145,X146,X149,X150) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).
cnf(c_0_291,negated_conjecture,
( cong(esk22_0,esk21_0,esk22_0,esk22_0)
| ~ midp(esk23_0,esk21_0,esk22_0)
| ~ coll(esk24_0,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_270,c_0_256]) ).
cnf(c_0_292,negated_conjecture,
( midp(esk23_0,esk21_0,esk22_0)
| ~ midp(esk22_0,esk21_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_286,c_0_287]) ).
cnf(c_0_293,negated_conjecture,
midp(esk22_0,X1,esk22_0),
inference(spm,[status(thm)],[c_0_288,c_0_289]) ).
cnf(c_0_294,plain,
( cong(X1,X2,X5,X6)
| ~ cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_290]) ).
cnf(c_0_295,plain,
( cong(X1,X2,X3,X1)
| ~ midp(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_125,c_0_137]) ).
cnf(c_0_296,negated_conjecture,
( cong(esk22_0,esk21_0,esk22_0,esk22_0)
| ~ midp(esk23_0,esk21_0,esk22_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_291,c_0_282])]) ).
cnf(c_0_297,negated_conjecture,
midp(esk23_0,esk21_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_292,c_0_293])]) ).
cnf(c_0_298,plain,
( cong(X1,X2,X3,X4)
| ~ cong(X1,X2,X4,X5)
| ~ midp(X4,X5,X3) ),
inference(spm,[status(thm)],[c_0_294,c_0_295]) ).
cnf(c_0_299,negated_conjecture,
cong(esk22_0,esk21_0,esk22_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_296,c_0_297])]) ).
cnf(c_0_300,plain,
( cong(X1,X2,X2,X2)
| ~ cyclic(X1,X2,X1,X1)
| ~ cyclic(X1,X2,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_126,c_0_119]) ).
cnf(c_0_301,negated_conjecture,
cong(esk22_0,esk21_0,X1,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_299]),c_0_289])]) ).
cnf(c_0_302,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_119]) ).
cnf(c_0_303,plain,
( cong(X1,X2,X2,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_300,c_0_98])]),c_0_123])]) ).
cnf(c_0_304,negated_conjecture,
cong(X1,esk22_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_124,c_0_301]) ).
cnf(c_0_305,plain,
( midp(X1,X2,X3)
| ~ cong(X3,X3,X3,X1)
| ~ midp(X3,X2,X3)
| ~ coll(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_245,c_0_302]) ).
cnf(c_0_306,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_124,c_0_137]) ).
cnf(c_0_307,plain,
( cong(X1,X2,X3,X4)
| ~ cong(X4,X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_125,c_0_124]) ).
cnf(c_0_308,negated_conjecture,
cong(esk22_0,esk21_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_303,c_0_304]) ).
cnf(c_0_309,plain,
( midp(X1,X2,X3)
| ~ cong(X3,X3,X3,X1)
| ~ midp(X3,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_305,c_0_280])]) ).
cnf(c_0_310,plain,
( midp(X1,X2,X1)
| ~ cong(X1,X1,X1,X3)
| ~ midp(X1,X2,X3)
| ~ coll(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_231,c_0_302]) ).
cnf(c_0_311,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X3,X1,X2)
| ~ coll(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_279,c_0_124]) ).
cnf(c_0_312,negated_conjecture,
perp(esk23_0,esk21_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_155,c_0_277]) ).
cnf(c_0_313,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X1,X1,X3)
| ~ midp(X1,X2,X1)
| ~ coll(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_213,c_0_302]) ).
cnf(c_0_314,plain,
( cong(X1,X2,X3,X4)
| ~ cong(X1,X2,X3,X5)
| ~ midp(X3,X4,X5) ),
inference(spm,[status(thm)],[c_0_294,c_0_306]) ).
cnf(c_0_315,negated_conjecture,
cong(esk21_0,esk21_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_307,c_0_308]) ).
cnf(c_0_316,negated_conjecture,
midp(esk21_0,X1,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_304]),c_0_293])]) ).
cnf(c_0_317,plain,
( midp(X1,X2,X1)
| ~ cong(X1,X1,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_310,c_0_122])]) ).
cnf(c_0_318,negated_conjecture,
perp(esk21_0,esk23_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_54,c_0_214]) ).
cnf(c_0_319,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X3,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_311,c_0_280])]) ).
cnf(c_0_320,negated_conjecture,
( cong(esk23_0,esk25_0,esk23_0,esk26_0)
| ~ midp(esk21_0,esk25_0,esk26_0) ),
inference(spm,[status(thm)],[c_0_255,c_0_312]) ).
cnf(c_0_321,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X1,X1,X3)
| ~ midp(X1,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_313,c_0_280])]) ).
cnf(c_0_322,negated_conjecture,
cong(esk21_0,esk21_0,esk21_0,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_315]),c_0_316])]) ).
cnf(c_0_323,negated_conjecture,
midp(esk21_0,X1,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_315]),c_0_316])]) ).
cnf(c_0_324,negated_conjecture,
( cong(esk21_0,esk26_0,esk21_0,esk25_0)
| ~ midp(esk23_0,esk26_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_255,c_0_318]) ).
cnf(c_0_325,negated_conjecture,
( midp(esk23_0,esk26_0,esk25_0)
| ~ midp(esk21_0,esk25_0,esk26_0) ),
inference(spm,[status(thm)],[c_0_319,c_0_320]) ).
cnf(c_0_326,negated_conjecture,
midp(esk21_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_322]),c_0_323])]) ).
cnf(c_0_327,plain,
( coll(X1,X2,X3)
| ~ coll(X3,X2,X4)
| ~ coll(X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_90,c_0_129]) ).
cnf(c_0_328,negated_conjecture,
coll(esk21_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_72,c_0_244]) ).
cnf(c_0_329,negated_conjecture,
( cong(esk21_0,esk25_0,esk21_0,esk26_0)
| ~ midp(esk23_0,esk26_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_124,c_0_324]) ).
cnf(c_0_330,negated_conjecture,
midp(esk23_0,esk26_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_325,c_0_326])]) ).
fof(c_0_331,plain,
! [X315,X316,X317,X318] :
( ~ perp(X315,X316,X316,X317)
| ~ midp(X318,X315,X317)
| cong(X315,X318,X316,X318) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD52])]) ).
cnf(c_0_332,negated_conjecture,
( coll(X1,esk24_0,esk21_0)
| ~ coll(X1,esk21_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_327,c_0_328]) ).
cnf(c_0_333,negated_conjecture,
cong(esk21_0,esk25_0,esk21_0,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_329,c_0_330])]) ).
cnf(c_0_334,plain,
( cong(X1,X4,X2,X4)
| ~ perp(X1,X2,X2,X3)
| ~ midp(X4,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_331]) ).
cnf(c_0_335,negated_conjecture,
( perp(esk21_0,esk25_0,esk25_0,esk28_0)
| ~ coll(esk24_0,esk21_0,esk28_0) ),
inference(spm,[status(thm)],[c_0_241,c_0_139]) ).
cnf(c_0_336,negated_conjecture,
coll(X1,esk24_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_332,c_0_108])]) ).
cnf(c_0_337,negated_conjecture,
cong(esk21_0,esk25_0,X1,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_333]),c_0_326])]) ).
cnf(c_0_338,negated_conjecture,
( cong(esk21_0,X1,esk25_0,X1)
| ~ midp(X1,esk21_0,esk28_0)
| ~ coll(esk24_0,esk21_0,esk28_0) ),
inference(spm,[status(thm)],[c_0_334,c_0_335]) ).
cnf(c_0_339,negated_conjecture,
coll(esk24_0,esk21_0,X1),
inference(spm,[status(thm)],[c_0_129,c_0_336]) ).
cnf(c_0_340,negated_conjecture,
midp(X1,X2,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_322]),c_0_323])]) ).
fof(c_0_341,plain,
! [X93,X94,X95,X96,X97,X98,X99,X100] :
( ~ eqangle(X93,X94,X95,X96,X97,X98,X99,X100)
| eqangle(X94,X93,X95,X96,X97,X98,X99,X100) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD18])]) ).
cnf(c_0_342,plain,
( perp(X1,X2,X3,X4)
| ~ cong(X1,X4,X2,X4)
| ~ cong(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_158,c_0_124]) ).
cnf(c_0_343,plain,
( cong(X1,X2,X3,X4)
| ~ cong(X4,X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_125,c_0_141]) ).
cnf(c_0_344,negated_conjecture,
cong(X1,esk21_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_124,c_0_337]) ).
cnf(c_0_345,negated_conjecture,
( cong(esk21_0,X1,esk25_0,X1)
| ~ midp(X1,esk21_0,esk28_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_338,c_0_339])]) ).
cnf(c_0_346,negated_conjecture,
midp(X1,esk21_0,X2),
inference(spm,[status(thm)],[c_0_288,c_0_340]) ).
cnf(c_0_347,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_341]) ).
cnf(c_0_348,negated_conjecture,
perp(esk22_0,esk21_0,esk27_0,esk25_0),
inference(spm,[status(thm)],[c_0_218,c_0_62]) ).
cnf(c_0_349,plain,
( para(X1,X2,X3,X4)
| ~ para(X4,X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_350,plain,
( para(X1,X2,X3,X4)
| ~ perp(X1,X2,X5,X6)
| ~ perp(X5,X6,X4,X3) ),
inference(spm,[status(thm)],[c_0_53,c_0_155]) ).
cnf(c_0_351,plain,
( cong(X1,X2,X1,X3)
| ~ cong(X1,X3,X4,X3)
| ~ cong(X4,X2,X1,X2)
| ~ midp(X4,X2,X3) ),
inference(spm,[status(thm)],[c_0_255,c_0_342]) ).
cnf(c_0_352,negated_conjecture,
cong(esk25_0,esk21_0,esk21_0,X1),
inference(spm,[status(thm)],[c_0_343,c_0_344]) ).
cnf(c_0_353,negated_conjecture,
cong(esk21_0,X1,esk25_0,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_345,c_0_346])]) ).
cnf(c_0_354,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_55]) ).
cnf(c_0_355,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ eqangle(X5,X6,X7,X8,X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_347,c_0_93]) ).
fof(c_0_356,plain,
! [X305,X306,X307,X308,X309] :
( ~ circle(X308,X305,X306,X307)
| ~ midp(X309,X306,X307)
| eqangle(X305,X306,X305,X307,X308,X306,X308,X309) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD50])]) ).
cnf(c_0_357,negated_conjecture,
perp(esk22_0,esk21_0,esk25_0,esk27_0),
inference(spm,[status(thm)],[c_0_155,c_0_348]) ).
fof(c_0_358,plain,
! [X67,X68,X69,X70] :
( ~ cong(X70,X67,X70,X68)
| ~ cong(X70,X67,X70,X69)
| circle(X70,X67,X68,X69) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD12])]) ).
cnf(c_0_359,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X1,X4,X5,X3)
| ~ coll(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_245,c_0_349]) ).
cnf(c_0_360,plain,
( para(X1,X2,X3,X4)
| ~ perp(X5,X6,X4,X3)
| ~ perp(X6,X5,X1,X2) ),
inference(spm,[status(thm)],[c_0_350,c_0_179]) ).
cnf(c_0_361,negated_conjecture,
perp(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_266,c_0_285])]) ).
cnf(c_0_362,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X3,X1)
| ~ coll(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_279,c_0_125]) ).
cnf(c_0_363,negated_conjecture,
cong(esk25_0,X1,esk25_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_352]),c_0_353]),c_0_326])]) ).
fof(c_0_364,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_43]) ).
fof(c_0_365,plain,
! [X117,X118,X119,X120,X121,X122,X123,X124] :
( ~ eqangle(X117,X118,X119,X120,X121,X122,X123,X124)
| eqangle(X117,X118,X121,X122,X119,X120,X123,X124) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).
cnf(c_0_366,negated_conjecture,
( ~ epred1_5(esk23_0,esk25_0,esk26_0,esk27_0,esk22_0)
| ~ eqangle(esk25_0,esk23_0,esk23_0,esk22_0,esk26_0,esk25_0,esk26_0,esk27_0) ),
inference(spm,[status(thm)],[c_0_354,c_0_355]) ).
cnf(c_0_367,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_356]) ).
cnf(c_0_368,negated_conjecture,
( cong(esk22_0,esk25_0,esk22_0,esk27_0)
| ~ midp(esk21_0,esk25_0,esk27_0) ),
inference(spm,[status(thm)],[c_0_255,c_0_357]) ).
cnf(c_0_369,plain,
( circle(X1,X2,X3,X4)
| ~ cong(X1,X2,X1,X3)
| ~ cong(X1,X2,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_358]) ).
cnf(c_0_370,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X1,X4,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_359,c_0_280])]) ).
cnf(c_0_371,plain,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_360,c_0_361]),c_0_361])]) ).
cnf(c_0_372,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_362,c_0_280])]) ).
cnf(c_0_373,negated_conjecture,
cong(esk25_0,X1,X2,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_363]),c_0_346])]) ).
fof(c_0_374,plain,
! [X549,X550,X551,X552,X553] :
( ( ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
| ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
| ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
| ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
| ~ eqangle(X552,X551,X551,X550,X552,X553,X553,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| epred1_5(X553,X552,X551,X550,X549) )
& ( ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
| ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
| ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
| ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
| ~ eqangle(X552,X551,X551,X550,X552,X553,X553,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| epred1_5(X553,X552,X551,X550,X549) )
& ( ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
| ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
| ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
| ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
| ~ eqangle(X552,X551,X551,X550,X552,X553,X553,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| epred1_5(X553,X552,X551,X550,X549) )
& ( ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
| ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
| ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
| ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
| ~ eqangle(X552,X551,X551,X550,X552,X553,X553,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| epred1_5(X553,X552,X551,X550,X549) )
& ( ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
| ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
| ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
| ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
| ~ eqangle(X552,X551,X551,X550,X552,X553,X553,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| epred1_5(X553,X552,X551,X550,X549) )
& ( ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
| ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
| ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
| ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
| ~ eqangle(X552,X551,X551,X550,X552,X553,X553,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| epred1_5(X553,X552,X551,X550,X549) )
& ( ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
| ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
| ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
| ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
| ~ eqangle(X552,X551,X551,X550,X552,X553,X553,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| epred1_5(X553,X552,X551,X550,X549) )
& ( ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
| ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
| ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
| ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
| ~ eqangle(X552,X551,X551,X550,X552,X553,X553,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| epred1_5(X553,X552,X551,X550,X549) )
& ( ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
| ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
| ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
| ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
| ~ eqangle(X552,X551,X551,X550,X552,X553,X553,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| epred1_5(X553,X552,X551,X550,X549) )
& ( ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
| ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
| ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
| ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
| ~ eqangle(X552,X551,X551,X550,X552,X553,X553,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| epred1_5(X553,X552,X551,X550,X549) )
& ( ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
| ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
| ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
| ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
| ~ eqangle(X552,X551,X551,X550,X552,X553,X553,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| epred1_5(X553,X552,X551,X550,X549) )
& ( ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
| ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
| ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
| ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
| ~ eqangle(X552,X551,X551,X550,X552,X553,X553,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| epred1_5(X553,X552,X551,X550,X549) )
& ( ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
| ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
| ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
| ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
| ~ eqangle(X552,X551,X551,X550,X552,X553,X553,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| epred1_5(X553,X552,X551,X550,X549) )
& ( ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
| ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
| ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
| ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
| ~ eqangle(X552,X551,X551,X550,X552,X553,X553,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| epred1_5(X553,X552,X551,X550,X549) )
& ( ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
| ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
| ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
| ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
| ~ eqangle(X552,X551,X551,X550,X552,X553,X553,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| epred1_5(X553,X552,X551,X550,X549) )
& ( ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
| ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
| ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
| ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
| ~ eqangle(X552,X551,X551,X550,X552,X553,X553,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| epred1_5(X553,X552,X551,X550,X549) )
& ( ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
| ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
| ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
| ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| epred1_5(X553,X552,X551,X550,X549) )
& ( ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
| ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
| ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
| ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| epred1_5(X553,X552,X551,X550,X549) )
& ( ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
| ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
| ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
| ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| epred1_5(X553,X552,X551,X550,X549) )
& ( ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
| ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
| ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
| ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| epred1_5(X553,X552,X551,X550,X549) )
& ( ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
| ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
| ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
| ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| epred1_5(X553,X552,X551,X550,X549) )
& ( ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
| ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
| ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
| ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| epred1_5(X553,X552,X551,X550,X549) )
& ( ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
| ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
| ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
| ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| epred1_5(X553,X552,X551,X550,X549) )
& ( ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
| ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
| ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
| ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| epred1_5(X553,X552,X551,X550,X549) )
& ( ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
| ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
| ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
| ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| epred1_5(X553,X552,X551,X550,X549) )
& ( ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
| ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
| ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
| ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| epred1_5(X553,X552,X551,X550,X549) )
& ( ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
| ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
| ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
| ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| epred1_5(X553,X552,X551,X550,X549) )
& ( ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
| ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
| ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
| ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| epred1_5(X553,X552,X551,X550,X549) )
& ( ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
| ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
| ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
| ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| epred1_5(X553,X552,X551,X550,X549) )
& ( ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
| ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
| ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
| ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| epred1_5(X553,X552,X551,X550,X549) )
& ( ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
| ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
| ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
| ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| epred1_5(X553,X552,X551,X550,X549) )
& ( ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
| ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
| ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
| ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
| epred1_5(X553,X552,X551,X550,X549) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_364])])]) ).
fof(c_0_375,plain,
! [X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136] :
( ~ eqangle(X125,X126,X127,X128,X129,X130,X131,X132)
| ~ eqangle(X129,X130,X131,X132,X133,X134,X135,X136)
| eqangle(X125,X126,X127,X128,X133,X134,X135,X136) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])]) ).
cnf(c_0_376,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_365]) ).
cnf(c_0_377,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| ~ para(X5,X6,X1,X2) ),
inference(spm,[status(thm)],[c_0_93,c_0_59]) ).
cnf(c_0_378,negated_conjecture,
( ~ epred1_5(esk23_0,esk25_0,esk26_0,esk27_0,esk22_0)
| ~ eqangle(esk23_0,esk25_0,esk23_0,esk22_0,esk26_0,esk25_0,esk26_0,esk27_0) ),
inference(spm,[status(thm)],[c_0_366,c_0_347]) ).
cnf(c_0_379,plain,
( eqangle(X1,X2,X1,X3,X4,X2,X4,X5)
| ~ circle(X1,X4,X2,X5)
| ~ midp(X3,X2,X5) ),
inference(spm,[status(thm)],[c_0_93,c_0_367]) ).
cnf(c_0_380,negated_conjecture,
( midp(esk22_0,esk25_0,esk27_0)
| ~ midp(esk21_0,esk25_0,esk27_0) ),
inference(spm,[status(thm)],[c_0_286,c_0_368]) ).
cnf(c_0_381,plain,
( circle(X1,X2,X3,X4)
| ~ cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X4) ),
inference(spm,[status(thm)],[c_0_369,c_0_137]) ).
cnf(c_0_382,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_370,c_0_371])]) ).
cnf(c_0_383,negated_conjecture,
midp(esk25_0,X1,X2),
inference(spm,[status(thm)],[c_0_372,c_0_373]) ).
cnf(c_0_384,plain,
( epred1_5(X4,X1,X2,X3,X5)
| ~ eqangle(X1,X2,X2,X3,X4,X1,X1,X5)
| ~ eqangle(X1,X2,X2,X3,X1,X5,X5,X4)
| ~ eqangle(X1,X2,X2,X3,X4,X1,X1,X5)
| ~ eqangle(X1,X2,X2,X3,X1,X5,X5,X4)
| ~ eqangle(X2,X1,X1,X3,X4,X1,X1,X5)
| ~ eqangle(X2,X1,X1,X3,X4,X1,X1,X5) ),
inference(split_conjunct,[status(thm)],[c_0_374]) ).
cnf(c_0_385,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_375]) ).
cnf(c_0_386,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X5,X6)
| ~ para(X3,X4,X1,X2) ),
inference(spm,[status(thm)],[c_0_376,c_0_377]) ).
cnf(c_0_387,negated_conjecture,
( ~ epred1_5(esk23_0,esk25_0,esk26_0,esk27_0,esk22_0)
| ~ circle(esk23_0,esk26_0,esk25_0,esk27_0)
| ~ midp(esk22_0,esk25_0,esk27_0) ),
inference(spm,[status(thm)],[c_0_378,c_0_379]) ).
cnf(c_0_388,negated_conjecture,
midp(esk22_0,esk25_0,esk27_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_380,c_0_326])]) ).
cnf(c_0_389,plain,
( circle(X1,X2,X3,X4)
| ~ midp(X1,X2,X4)
| ~ midp(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_381,c_0_306]) ).
cnf(c_0_390,negated_conjecture,
midp(X1,X2,X3),
inference(spm,[status(thm)],[c_0_382,c_0_383]) ).
cnf(c_0_391,plain,
( epred1_5(X4,X1,X2,X3,X5)
| ~ eqangle(X2,X1,X1,X3,X4,X1,X1,X5)
| ~ eqangle(X1,X2,X2,X3,X4,X1,X1,X5)
| ~ eqangle(X1,X2,X2,X3,X1,X5,X5,X4) ),
inference(cn,[status(thm)],[c_0_384]) ).
cnf(c_0_392,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
| ~ eqangle(X5,X6,X7,X8,X9,X10,X11,X12) ),
inference(spm,[status(thm)],[c_0_385,c_0_93]) ).
cnf(c_0_393,plain,
eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_386,c_0_371])]) ).
cnf(c_0_394,negated_conjecture,
( ~ epred1_5(esk23_0,esk25_0,esk26_0,esk27_0,esk22_0)
| ~ circle(esk23_0,esk26_0,esk25_0,esk27_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_387,c_0_388])]) ).
cnf(c_0_395,plain,
circle(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_389,c_0_390]),c_0_390])]) ).
cnf(c_0_396,plain,
( epred1_5(X1,X2,X3,X4,X5)
| ~ eqangle(X2,X3,X3,X4,X1,X2,X2,X5)
| ~ eqangle(X2,X3,X3,X4,X2,X5,X5,X1)
| ~ eqangle(X2,X5,X1,X2,X2,X4,X3,X2) ),
inference(spm,[status(thm)],[c_0_391,c_0_127]) ).
cnf(c_0_397,plain,
eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_393]),c_0_393])]) ).
cnf(c_0_398,negated_conjecture,
~ epred1_5(esk23_0,esk25_0,esk26_0,esk27_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_394,c_0_395])]) ).
cnf(c_0_399,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_396,c_0_397]),c_0_397]),c_0_397])]) ).
cnf(c_0_400,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_398,c_0_399])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO610+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 30 00:15:46 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.59/0.63 start to proof: theBenchmark
% 23.00/23.09 % Version : CSE_E---1.5
% 23.00/23.09 % Problem : theBenchmark.p
% 23.00/23.09 % Proof found
% 23.00/23.09 % SZS status Theorem for theBenchmark.p
% 23.00/23.09 % SZS output start Proof
% See solution above
% 23.07/23.11 % Total time : 22.450000 s
% 23.07/23.11 % SZS output end Proof
% 23.07/23.11 % Total time : 22.454000 s
%------------------------------------------------------------------------------