TSTP Solution File: GEO564+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO564+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 : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 22:48:38 EDT 2023
% Result : Theorem 29.98s 30.09s
% Output : CNFRefutation 29.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 86
% Syntax : Number of formulae : 247 ( 34 unt; 52 typ; 0 def)
% Number of atoms : 774 ( 0 equ)
% Maximal formula atoms : 224 ( 3 avg)
% Number of connectives : 969 ( 390 ~; 400 |; 142 &)
% ( 1 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 144 ( 32 >; 112 *; 0 +; 0 <<)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-8 aty)
% Number of functors : 40 ( 40 usr; 20 con; 0-6 aty)
% Number of variables : 813 ( 61 sgn; 370 !; 0 ?; 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_6: ( $i * $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 ).
tff(decl_62,type,
esk29_0: $i ).
tff(decl_63,type,
esk30_0: $i ).
tff(decl_64,type,
esk31_0: $i ).
tff(decl_65,type,
esk32_0: $i ).
tff(decl_66,type,
esk33_0: $i ).
tff(decl_67,type,
esk34_0: $i ).
tff(decl_68,type,
esk35_0: $i ).
tff(decl_69,type,
esk36_0: $i ).
tff(decl_70,type,
esk37_0: $i ).
tff(decl_71,type,
esk38_0: $i ).
tff(decl_72,type,
esk39_0: $i ).
tff(decl_73,type,
esk40_0: $i ).
fof(exemplo6GDDFULL214026,conjecture,
! [X1,X2,X3,X14,X8,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33] :
( ( perp(X1,X2,X3,X14)
& perp(X1,X3,X2,X14)
& perp(X2,X3,X1,X14)
& midp(X22,X1,X2)
& perp(X1,X2,X22,X8)
& midp(X23,X1,X3)
& perp(X1,X3,X23,X8)
& midp(X24,X2,X3)
& perp(X2,X3,X24,X8)
& midp(X25,X1,X14)
& perp(X1,X14,X25,X19)
& midp(X26,X1,X2)
& perp(X1,X2,X26,X19)
& midp(X27,X14,X2)
& perp(X14,X2,X27,X19)
& midp(X28,X2,X14)
& perp(X2,X14,X28,X20)
& midp(X29,X2,X3)
& perp(X2,X3,X29,X20)
& midp(X30,X14,X3)
& perp(X14,X3,X30,X20)
& midp(X31,X3,X14)
& perp(X3,X14,X31,X21)
& midp(X32,X3,X1)
& perp(X3,X1,X32,X21)
& midp(X33,X14,X1)
& perp(X14,X1,X33,X21) )
=> ( eqangle(X2,X1,X1,X3,X21,X20,X20,X19)
& ( eqangle(X1,X2,X2,X3,X20,X21,X21,X19)
| eqangle(X2,X1,X1,X3,X21,X20,X20,X19) )
& ( eqangle(X1,X2,X2,X3,X20,X19,X19,X21)
| eqangle(X2,X1,X1,X3,X20,X21,X21,X19) )
& ( eqangle(X1,X2,X2,X3,X21,X20,X20,X19)
| eqangle(X2,X1,X1,X3,X20,X21,X21,X19) )
& ( eqangle(X1,X2,X2,X3,X20,X19,X19,X21)
| eqangle(X2,X1,X1,X3,X20,X19,X19,X21) )
& ( eqangle(X1,X2,X2,X3,X21,X20,X20,X19)
| eqangle(X2,X1,X1,X3,X20,X19,X19,X21) )
& eqangle(X1,X2,X2,X3,X20,X21,X21,X19) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214026) ).
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(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(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(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(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(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(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(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(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(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(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(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(ruleD15,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X3,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(ruleD42b,axiom,
! [X1,X2,X9,X10] :
( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
& coll(X9,X10,X2) )
=> cyclic(X1,X2,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
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(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(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(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(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(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(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(ruleD54,axiom,
! [X1,X2,X3,X4] :
( ( cyclic(X1,X2,X3,X4)
& para(X1,X2,X3,X4) )
=> eqangle(X1,X4,X3,X4,X3,X4,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD54) ).
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(ruleD64,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& para(X1,X3,X2,X4)
& para(X1,X4,X2,X3) )
=> midp(X7,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(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(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(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(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(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(c_0_33,plain,
! [X1,X20,X2,X19,X3,X21] :
( epred1_6(X21,X19,X3,X2,X20,X1)
<=> ( eqangle(X2,X1,X1,X3,X21,X20,X20,X19)
& ( eqangle(X1,X2,X2,X3,X20,X21,X21,X19)
| eqangle(X2,X1,X1,X3,X21,X20,X20,X19) )
& ( eqangle(X1,X2,X2,X3,X20,X19,X19,X21)
| eqangle(X2,X1,X1,X3,X20,X21,X21,X19) )
& ( eqangle(X1,X2,X2,X3,X21,X20,X20,X19)
| eqangle(X2,X1,X1,X3,X20,X21,X21,X19) )
& ( eqangle(X1,X2,X2,X3,X20,X19,X19,X21)
| eqangle(X2,X1,X1,X3,X20,X19,X19,X21) )
& ( eqangle(X1,X2,X2,X3,X21,X20,X20,X19)
| eqangle(X2,X1,X1,X3,X20,X19,X19,X21) ) ) ),
introduced(definition) ).
fof(c_0_34,negated_conjecture,
~ ! [X1,X2,X3,X14,X8,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33] :
( ( perp(X1,X2,X3,X14)
& perp(X1,X3,X2,X14)
& perp(X2,X3,X1,X14)
& midp(X22,X1,X2)
& perp(X1,X2,X22,X8)
& midp(X23,X1,X3)
& perp(X1,X3,X23,X8)
& midp(X24,X2,X3)
& perp(X2,X3,X24,X8)
& midp(X25,X1,X14)
& perp(X1,X14,X25,X19)
& midp(X26,X1,X2)
& perp(X1,X2,X26,X19)
& midp(X27,X14,X2)
& perp(X14,X2,X27,X19)
& midp(X28,X2,X14)
& perp(X2,X14,X28,X20)
& midp(X29,X2,X3)
& perp(X2,X3,X29,X20)
& midp(X30,X14,X3)
& perp(X14,X3,X30,X20)
& midp(X31,X3,X14)
& perp(X3,X14,X31,X21)
& midp(X32,X3,X1)
& perp(X3,X1,X32,X21)
& midp(X33,X14,X1)
& perp(X14,X1,X33,X21) )
=> ( epred1_6(X21,X19,X3,X2,X20,X1)
& eqangle(X1,X2,X2,X3,X20,X21,X21,X19) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[exemplo6GDDFULL214026]),c_0_33]) ).
fof(c_0_35,plain,
! [X78,X79,X80] :
( ~ midp(X80,X79,X78)
| midp(X80,X78,X79) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
fof(c_0_36,negated_conjecture,
( perp(esk21_0,esk22_0,esk23_0,esk24_0)
& perp(esk21_0,esk23_0,esk22_0,esk24_0)
& perp(esk22_0,esk23_0,esk21_0,esk24_0)
& midp(esk29_0,esk21_0,esk22_0)
& perp(esk21_0,esk22_0,esk29_0,esk25_0)
& midp(esk30_0,esk21_0,esk23_0)
& perp(esk21_0,esk23_0,esk30_0,esk25_0)
& midp(esk31_0,esk22_0,esk23_0)
& perp(esk22_0,esk23_0,esk31_0,esk25_0)
& midp(esk32_0,esk21_0,esk24_0)
& perp(esk21_0,esk24_0,esk32_0,esk26_0)
& midp(esk33_0,esk21_0,esk22_0)
& perp(esk21_0,esk22_0,esk33_0,esk26_0)
& midp(esk34_0,esk24_0,esk22_0)
& perp(esk24_0,esk22_0,esk34_0,esk26_0)
& midp(esk35_0,esk22_0,esk24_0)
& perp(esk22_0,esk24_0,esk35_0,esk27_0)
& midp(esk36_0,esk22_0,esk23_0)
& perp(esk22_0,esk23_0,esk36_0,esk27_0)
& midp(esk37_0,esk24_0,esk23_0)
& perp(esk24_0,esk23_0,esk37_0,esk27_0)
& midp(esk38_0,esk23_0,esk24_0)
& perp(esk23_0,esk24_0,esk38_0,esk28_0)
& midp(esk39_0,esk23_0,esk21_0)
& perp(esk23_0,esk21_0,esk39_0,esk28_0)
& midp(esk40_0,esk24_0,esk21_0)
& perp(esk24_0,esk21_0,esk40_0,esk28_0)
& ( ~ epred1_6(esk28_0,esk26_0,esk23_0,esk22_0,esk27_0,esk21_0)
| ~ eqangle(esk21_0,esk22_0,esk22_0,esk23_0,esk27_0,esk28_0,esk28_0,esk26_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).
fof(c_0_37,plain,
! [X404,X405,X406] :
( ~ midp(X404,X405,X406)
| cong(X404,X405,X404,X406) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_38,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_39,negated_conjecture,
midp(esk40_0,esk24_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_40,plain,
! [X151,X152,X153,X154] :
( ~ cong(X151,X152,X153,X154)
| cong(X151,X152,X154,X153) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_41,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_42,negated_conjecture,
midp(esk40_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
fof(c_0_43,plain,
! [X341,X342,X343,X344] :
( ~ midp(X343,X341,X342)
| ~ perp(X344,X343,X341,X342)
| cong(X344,X341,X344,X342) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD55])]) ).
fof(c_0_44,plain,
! [X62,X63,X64,X65] :
( ~ perp(X62,X63,X64,X65)
| perp(X64,X65,X62,X63) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_45,plain,
! [X58,X59,X60,X61] :
( ~ perp(X58,X59,X60,X61)
| perp(X58,X59,X61,X60) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])]) ).
fof(c_0_46,plain,
! [X155,X156,X157,X158] :
( ~ cong(X155,X156,X157,X158)
| cong(X157,X158,X155,X156) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_47,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_48,negated_conjecture,
cong(esk40_0,esk21_0,esk40_0,esk24_0),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_49,plain,
( cong(X4,X2,X4,X3)
| ~ midp(X1,X2,X3)
| ~ perp(X4,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_50,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_51,plain,
( perp(X1,X2,X4,X3)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_52,negated_conjecture,
perp(esk24_0,esk21_0,esk40_0,esk28_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_53,plain,
! [X345,X346,X347,X348] :
( ~ cong(X345,X347,X346,X347)
| ~ cong(X345,X348,X346,X348)
| perp(X345,X346,X347,X348) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).
cnf(c_0_54,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_55,negated_conjecture,
cong(esk40_0,esk21_0,esk24_0,esk40_0),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_56,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ perp(X2,X3,X1,X4) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_57,negated_conjecture,
perp(esk24_0,esk21_0,esk28_0,esk40_0),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_58,plain,
! [X263,X264,X265,X266,X267,X268] :
( ~ eqangle(X263,X264,X267,X268,X265,X266,X267,X268)
| para(X263,X264,X265,X266) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
fof(c_0_59,plain,
! [X115,X116,X117,X118,X119,X120,X121,X122] :
( ~ eqangle(X115,X116,X117,X118,X119,X120,X121,X122)
| eqangle(X117,X118,X115,X116,X121,X122,X119,X120) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_60,plain,
! [X66,X67,X68,X69,X70,X71] :
( ~ perp(X66,X67,X68,X69)
| ~ perp(X68,X69,X70,X71)
| para(X66,X67,X70,X71) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
cnf(c_0_61,plain,
( perp(X1,X3,X2,X4)
| ~ cong(X1,X2,X3,X2)
| ~ cong(X1,X4,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_62,negated_conjecture,
cong(esk24_0,esk40_0,esk40_0,esk21_0),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_63,plain,
( cong(X1,X2,X3,X4)
| ~ cong(X4,X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_47,c_0_54]) ).
cnf(c_0_64,negated_conjecture,
cong(esk28_0,esk24_0,esk28_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_39])]) ).
cnf(c_0_65,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_66,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_59]) ).
fof(c_0_67,plain,
! [X269,X270,X271,X272,X273,X274] :
( ~ para(X269,X270,X271,X272)
| eqangle(X269,X270,X273,X274,X271,X272,X273,X274) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_68,plain,
! [X48,X49,X50,X51] :
( ~ para(X48,X49,X50,X51)
| para(X50,X51,X48,X49) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_69,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_70,plain,
( perp(X1,X2,X3,X4)
| ~ cong(X3,X2,X4,X2)
| ~ cong(X3,X1,X4,X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_61]) ).
cnf(c_0_71,negated_conjecture,
cong(esk24_0,esk40_0,esk21_0,esk40_0),
inference(spm,[status(thm)],[c_0_47,c_0_62]) ).
cnf(c_0_72,negated_conjecture,
cong(esk28_0,esk21_0,esk24_0,esk28_0),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
fof(c_0_73,plain,
! [X98,X99,X100,X101] :
( ~ cyclic(X98,X99,X100,X101)
| cyclic(X99,X98,X100,X101) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
fof(c_0_74,plain,
! [X94,X95,X96,X97] :
( ~ cyclic(X94,X95,X96,X97)
| cyclic(X94,X96,X95,X97) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
fof(c_0_75,plain,
! [X283,X284,X285,X286] :
( ~ eqangle(X285,X283,X285,X284,X286,X283,X286,X284)
| ~ coll(X285,X286,X284)
| cyclic(X283,X284,X285,X286) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
cnf(c_0_76,plain,
( para(X1,X2,X3,X4)
| ~ eqangle(X5,X6,X1,X2,X5,X6,X3,X4) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_77,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_78,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_79,negated_conjecture,
( para(X1,X2,esk40_0,esk28_0)
| ~ perp(X1,X2,esk24_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_69,c_0_52]) ).
cnf(c_0_80,negated_conjecture,
( perp(esk40_0,X1,esk24_0,esk21_0)
| ~ cong(esk24_0,X1,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_81,negated_conjecture,
cong(esk24_0,esk28_0,esk21_0,esk28_0),
inference(spm,[status(thm)],[c_0_63,c_0_72]) ).
cnf(c_0_82,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_83,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_84,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_75]) ).
fof(c_0_85,plain,
! [X34,X35,X36] :
( ~ coll(X34,X35,X36)
| coll(X34,X36,X35) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
fof(c_0_86,plain,
! [X37,X38,X39] :
( ~ coll(X37,X38,X39)
| coll(X38,X37,X39) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
fof(c_0_87,plain,
! [X398,X399,X400] :
( ~ para(X398,X399,X398,X400)
| coll(X398,X399,X400) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_88,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_89,negated_conjecture,
( para(esk40_0,esk28_0,X1,X2)
| ~ perp(X1,X2,esk24_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_90,negated_conjecture,
perp(esk40_0,esk28_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
fof(c_0_91,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_92,plain,
! [X40,X41,X42,X43] :
( ~ coll(X40,X41,X42)
| ~ coll(X40,X41,X43)
| coll(X42,X43,X40) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_93,plain,
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X2,X3,X1,X4) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_94,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_84,c_0_77]) ).
cnf(c_0_95,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_96,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_97,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_98,negated_conjecture,
para(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90])]) ).
fof(c_0_99,plain,
! [X279,X280,X281,X282] :
( ~ eqangle(X281,X279,X281,X280,X282,X279,X282,X280)
| coll(X281,X282,X279)
| cyclic(X279,X280,X281,X282) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_91])]) ).
fof(c_0_100,plain,
! [X401,X402,X403] :
( ~ cong(X401,X402,X401,X403)
| ~ coll(X401,X402,X403)
| midp(X401,X402,X403) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_101,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
fof(c_0_102,plain,
! [X287,X288,X289,X290,X291,X292] :
( ~ cyclic(X287,X288,X289,X290)
| ~ cyclic(X287,X288,X289,X291)
| ~ cyclic(X287,X288,X289,X292)
| ~ eqangle(X289,X287,X289,X288,X292,X290,X292,X291)
| cong(X287,X288,X290,X291) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])]) ).
fof(c_0_103,plain,
! [X275,X276,X277,X278] :
( ~ cyclic(X275,X276,X277,X278)
| eqangle(X277,X275,X277,X276,X278,X275,X278,X276) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
cnf(c_0_104,plain,
( cyclic(X1,X2,X3,X1)
| ~ para(X1,X2,X1,X2)
| ~ coll(X1,X1,X3) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_105,plain,
( coll(X1,X2,X3)
| ~ coll(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_106,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_107,plain,
( cyclic(X1,X2,X3,X2)
| ~ para(X2,X1,X2,X1)
| ~ coll(X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_83,c_0_94]) ).
fof(c_0_108,plain,
! [X337,X338,X339,X340] :
( ~ cyclic(X337,X338,X339,X340)
| ~ para(X337,X338,X339,X340)
| eqangle(X337,X340,X339,X340,X339,X340,X339,X338) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD54])]) ).
cnf(c_0_109,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_99]) ).
cnf(c_0_110,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X2,X3,X2)
| ~ coll(X3,X3,X1) ),
inference(spm,[status(thm)],[c_0_82,c_0_94]) ).
fof(c_0_111,plain,
! [X90,X91,X92,X93] :
( ~ cyclic(X90,X91,X92,X93)
| cyclic(X90,X91,X93,X92) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_112,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_113,plain,
( coll(X1,X2,X3)
| ~ coll(X3,X4,X1)
| ~ coll(X3,X2,X4) ),
inference(spm,[status(thm)],[c_0_101,c_0_95]) ).
cnf(c_0_114,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_102]) ).
cnf(c_0_115,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_116,plain,
( cyclic(X1,X2,X3,X1)
| ~ coll(X1,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_98])]) ).
cnf(c_0_117,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_118,plain,
( cyclic(X1,X2,X3,X2)
| ~ coll(X2,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_98])]) ).
cnf(c_0_119,plain,
( eqangle(X1,X4,X3,X4,X3,X4,X3,X2)
| ~ cyclic(X1,X2,X3,X4)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_120,plain,
( cyclic(X1,X2,X3,X3)
| coll(X3,X3,X1)
| ~ para(X3,X1,X3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_77]) ).
cnf(c_0_121,plain,
( cyclic(X1,X2,X3,X3)
| ~ coll(X3,X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_98])]) ).
cnf(c_0_122,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_123,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X3,X1,X2)
| ~ coll(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_38,c_0_112]) ).
cnf(c_0_124,plain,
( coll(X1,X2,X3)
| ~ coll(X3,X2,X4)
| ~ coll(X3,X1,X4) ),
inference(spm,[status(thm)],[c_0_113,c_0_95]) ).
cnf(c_0_125,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_96,c_0_106]) ).
cnf(c_0_126,plain,
( cong(X1,X2,X1,X2)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X2)
| ~ cyclic(X1,X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_127,plain,
cyclic(X1,X2,X3,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_117])]) ).
cnf(c_0_128,plain,
cyclic(X1,X2,X3,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_117])]) ).
cnf(c_0_129,plain,
( cong(X1,X1,X1,X2)
| ~ cyclic(X1,X1,X3,X3)
| ~ cyclic(X1,X1,X3,X2)
| ~ cyclic(X1,X1,X3,X1)
| ~ cyclic(X3,X2,X3,X1)
| ~ para(X3,X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_114,c_0_119]) ).
cnf(c_0_130,plain,
cyclic(X1,X2,X3,X3),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_98])]),c_0_121]) ).
cnf(c_0_131,plain,
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X2,X1,X4,X3) ),
inference(spm,[status(thm)],[c_0_82,c_0_122]) ).
cnf(c_0_132,plain,
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X3,X1,X2,X4) ),
inference(spm,[status(thm)],[c_0_83,c_0_82]) ).
cnf(c_0_133,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_123,c_0_54]) ).
cnf(c_0_134,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_125])]) ).
cnf(c_0_135,plain,
( cong(X1,X2,X1,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_127])]),c_0_128])]) ).
fof(c_0_136,plain,
! [X388,X389,X390,X391,X392] :
( ~ midp(X392,X388,X389)
| ~ para(X388,X390,X389,X391)
| ~ para(X388,X391,X389,X390)
| midp(X392,X390,X391) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
fof(c_0_137,plain,
! [X303,X304,X305] :
( ~ cong(X305,X303,X305,X304)
| eqangle(X305,X303,X303,X304,X303,X304,X305,X304) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_138,plain,
( cong(X1,X1,X1,X2)
| ~ cyclic(X1,X1,X3,X2)
| ~ cyclic(X1,X1,X3,X1)
| ~ cyclic(X3,X2,X3,X1)
| ~ para(X3,X2,X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_130])]) ).
cnf(c_0_139,plain,
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X4,X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_140,plain,
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X3,X4,X2) ),
inference(spm,[status(thm)],[c_0_83,c_0_122]) ).
cnf(c_0_141,plain,
( perp(X1,X1,X2,X3)
| ~ cong(X1,X3,X1,X3)
| ~ midp(X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_41]) ).
cnf(c_0_142,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_134])]) ).
cnf(c_0_143,plain,
cong(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_135,c_0_130]) ).
cnf(c_0_144,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_136]) ).
cnf(c_0_145,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_146,plain,
( cong(X1,X1,X1,X2)
| ~ cyclic(X1,X1,X3,X2)
| ~ cyclic(X3,X2,X3,X1)
| ~ para(X3,X2,X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_127])]) ).
cnf(c_0_147,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_139,c_0_130]) ).
cnf(c_0_148,plain,
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X3,X4,X1,X2) ),
inference(spm,[status(thm)],[c_0_140,c_0_93]) ).
cnf(c_0_149,plain,
( para(X1,X2,X3,X4)
| ~ cong(X5,X4,X5,X4)
| ~ midp(X5,X3,X3)
| ~ perp(X1,X2,X5,X5) ),
inference(spm,[status(thm)],[c_0_69,c_0_141]) ).
cnf(c_0_150,plain,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_151,plain,
( perp(X1,X2,X3,X3)
| ~ cong(X3,X1,X3,X1)
| ~ midp(X3,X2,X2) ),
inference(spm,[status(thm)],[c_0_70,c_0_41]) ).
fof(c_0_152,plain,
! [X123,X124,X125,X126,X127,X128,X129,X130] :
( ~ eqangle(X123,X124,X125,X126,X127,X128,X129,X130)
| eqangle(X127,X128,X129,X130,X123,X124,X125,X126) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).
cnf(c_0_153,plain,
( midp(X1,X2,X3)
| ~ midp(X1,X4,X5)
| ~ para(X4,X2,X5,X3)
| ~ para(X5,X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_144,c_0_78]) ).
cnf(c_0_154,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_145]) ).
cnf(c_0_155,plain,
( cong(X1,X1,X1,X2)
| ~ cyclic(X1,X1,X3,X2)
| ~ para(X3,X2,X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_147])]) ).
cnf(c_0_156,plain,
cyclic(X1,X1,X2,X3),
inference(spm,[status(thm)],[c_0_148,c_0_130]) ).
cnf(c_0_157,plain,
( para(X1,X2,X3,X4)
| ~ perp(X1,X2,X5,X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_143])]),c_0_150])]) ).
cnf(c_0_158,plain,
perp(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_151,c_0_143])]),c_0_150])]) ).
fof(c_0_159,plain,
! [X139,X140,X141,X142,X143,X144,X145,X146,X147,X148,X149,X150] :
( ~ eqangle(X139,X140,X141,X142,X143,X144,X145,X146)
| ~ eqangle(X143,X144,X145,X146,X147,X148,X149,X150)
| eqangle(X139,X140,X141,X142,X147,X148,X149,X150) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])]) ).
cnf(c_0_160,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_152]) ).
cnf(c_0_161,plain,
( midp(X1,X2,X3)
| ~ cong(X2,X2,X2,X3)
| ~ midp(X1,X2,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_154]) ).
cnf(c_0_162,plain,
( cong(X1,X1,X1,X2)
| ~ para(X3,X2,X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_156])]) ).
cnf(c_0_163,plain,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_157,c_0_158])]) ).
fof(c_0_164,plain,
! [X107,X108,X109,X110,X111,X112,X113,X114] :
( ~ eqangle(X107,X108,X109,X110,X111,X112,X113,X114)
| eqangle(X108,X107,X109,X110,X111,X112,X113,X114) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD18])]) ).
fof(c_0_165,plain,
! [X1,X20,X2,X19,X3,X21] :
( ( eqangle(X2,X1,X1,X3,X21,X20,X20,X19)
& ( eqangle(X1,X2,X2,X3,X20,X21,X21,X19)
| eqangle(X2,X1,X1,X3,X21,X20,X20,X19) )
& ( eqangle(X1,X2,X2,X3,X20,X19,X19,X21)
| eqangle(X2,X1,X1,X3,X20,X21,X21,X19) )
& ( eqangle(X1,X2,X2,X3,X21,X20,X20,X19)
| eqangle(X2,X1,X1,X3,X20,X21,X21,X19) )
& ( eqangle(X1,X2,X2,X3,X20,X19,X19,X21)
| eqangle(X2,X1,X1,X3,X20,X19,X19,X21) )
& ( eqangle(X1,X2,X2,X3,X21,X20,X20,X19)
| eqangle(X2,X1,X1,X3,X20,X19,X19,X21) ) )
=> epred1_6(X21,X19,X3,X2,X20,X1) ),
inference(split_equiv,[status(thm)],[c_0_33]) ).
cnf(c_0_166,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_159]) ).
cnf(c_0_167,plain,
( eqangle(X1,X2,X3,X2,X3,X1,X1,X2)
| ~ cong(X3,X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_160,c_0_145]) ).
cnf(c_0_168,plain,
( midp(X1,X2,X3)
| ~ cong(X2,X2,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_161,c_0_150])]) ).
cnf(c_0_169,plain,
cong(X1,X1,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_163])]) ).
cnf(c_0_170,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_66,c_0_77]) ).
cnf(c_0_171,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_164]) ).
cnf(c_0_172,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| ~ para(X5,X6,X1,X2) ),
inference(spm,[status(thm)],[c_0_160,c_0_77]) ).
fof(c_0_173,plain,
! [X575,X576,X577,X578,X579,X580] :
( ( ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
| ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
| ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
| ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
| ~ eqangle(X575,X577,X577,X579,X576,X580,X580,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| epred1_6(X580,X578,X579,X577,X576,X575) )
& ( ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
| ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
| ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
| ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
| ~ eqangle(X575,X577,X577,X579,X576,X580,X580,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| epred1_6(X580,X578,X579,X577,X576,X575) )
& ( ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
| ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
| ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
| ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
| ~ eqangle(X575,X577,X577,X579,X576,X580,X580,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| epred1_6(X580,X578,X579,X577,X576,X575) )
& ( ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
| ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
| ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
| ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
| ~ eqangle(X575,X577,X577,X579,X576,X580,X580,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| epred1_6(X580,X578,X579,X577,X576,X575) )
& ( ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
| ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
| ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
| ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
| ~ eqangle(X575,X577,X577,X579,X576,X580,X580,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| epred1_6(X580,X578,X579,X577,X576,X575) )
& ( ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
| ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
| ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
| ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
| ~ eqangle(X575,X577,X577,X579,X576,X580,X580,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| epred1_6(X580,X578,X579,X577,X576,X575) )
& ( ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
| ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
| ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
| ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
| ~ eqangle(X575,X577,X577,X579,X576,X580,X580,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| epred1_6(X580,X578,X579,X577,X576,X575) )
& ( ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
| ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
| ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
| ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
| ~ eqangle(X575,X577,X577,X579,X576,X580,X580,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| epred1_6(X580,X578,X579,X577,X576,X575) )
& ( ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
| ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
| ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
| ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
| ~ eqangle(X575,X577,X577,X579,X576,X580,X580,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| epred1_6(X580,X578,X579,X577,X576,X575) )
& ( ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
| ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
| ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
| ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
| ~ eqangle(X575,X577,X577,X579,X576,X580,X580,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| epred1_6(X580,X578,X579,X577,X576,X575) )
& ( ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
| ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
| ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
| ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
| ~ eqangle(X575,X577,X577,X579,X576,X580,X580,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| epred1_6(X580,X578,X579,X577,X576,X575) )
& ( ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
| ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
| ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
| ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
| ~ eqangle(X575,X577,X577,X579,X576,X580,X580,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| epred1_6(X580,X578,X579,X577,X576,X575) )
& ( ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
| ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
| ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
| ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
| ~ eqangle(X575,X577,X577,X579,X576,X580,X580,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| epred1_6(X580,X578,X579,X577,X576,X575) )
& ( ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
| ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
| ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
| ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
| ~ eqangle(X575,X577,X577,X579,X576,X580,X580,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| epred1_6(X580,X578,X579,X577,X576,X575) )
& ( ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
| ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
| ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
| ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
| ~ eqangle(X575,X577,X577,X579,X576,X580,X580,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| epred1_6(X580,X578,X579,X577,X576,X575) )
& ( ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
| ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
| ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
| ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
| ~ eqangle(X575,X577,X577,X579,X576,X580,X580,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| epred1_6(X580,X578,X579,X577,X576,X575) )
& ( ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
| ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
| ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
| ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| epred1_6(X580,X578,X579,X577,X576,X575) )
& ( ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
| ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
| ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
| ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| epred1_6(X580,X578,X579,X577,X576,X575) )
& ( ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
| ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
| ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
| ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| epred1_6(X580,X578,X579,X577,X576,X575) )
& ( ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
| ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
| ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
| ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| epred1_6(X580,X578,X579,X577,X576,X575) )
& ( ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
| ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
| ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
| ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| epred1_6(X580,X578,X579,X577,X576,X575) )
& ( ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
| ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
| ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
| ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| epred1_6(X580,X578,X579,X577,X576,X575) )
& ( ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
| ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
| ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
| ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| epred1_6(X580,X578,X579,X577,X576,X575) )
& ( ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
| ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
| ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
| ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| epred1_6(X580,X578,X579,X577,X576,X575) )
& ( ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
| ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
| ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
| ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| epred1_6(X580,X578,X579,X577,X576,X575) )
& ( ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
| ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
| ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
| ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| epred1_6(X580,X578,X579,X577,X576,X575) )
& ( ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
| ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
| ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
| ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| epred1_6(X580,X578,X579,X577,X576,X575) )
& ( ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
| ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
| ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
| ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| epred1_6(X580,X578,X579,X577,X576,X575) )
& ( ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
| ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
| ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
| ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| epred1_6(X580,X578,X579,X577,X576,X575) )
& ( ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
| ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
| ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
| ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| epred1_6(X580,X578,X579,X577,X576,X575) )
& ( ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
| ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
| ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
| ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| epred1_6(X580,X578,X579,X577,X576,X575) )
& ( ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
| ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
| ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
| ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
| epred1_6(X580,X578,X579,X577,X576,X575) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_165])])]) ).
fof(c_0_174,plain,
! [X131,X132,X133,X134,X135,X136,X137,X138] :
( ~ eqangle(X131,X132,X133,X134,X135,X136,X137,X138)
| eqangle(X131,X132,X135,X136,X133,X134,X137,X138) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).
cnf(c_0_175,negated_conjecture,
( ~ epred1_6(esk28_0,esk26_0,esk23_0,esk22_0,esk27_0,esk21_0)
| ~ eqangle(esk21_0,esk22_0,esk22_0,esk23_0,esk27_0,esk28_0,esk28_0,esk26_0) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_176,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X6,X7)
| ~ eqangle(X1,X2,X3,X4,X6,X7,X5,X7)
| ~ cong(X5,X6,X5,X7) ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_177,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_38]) ).
cnf(c_0_178,plain,
midp(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_169])]) ).
cnf(c_0_179,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X9,X10)
| ~ para(X9,X10,X7,X8) ),
inference(spm,[status(thm)],[c_0_166,c_0_170]) ).
cnf(c_0_180,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| ~ para(X5,X6,X2,X1) ),
inference(spm,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_181,plain,
( epred1_6(X4,X6,X3,X2,X5,X1)
| ~ eqangle(X1,X2,X2,X3,X4,X5,X5,X6)
| ~ eqangle(X1,X2,X2,X3,X5,X6,X6,X4)
| ~ eqangle(X1,X2,X2,X3,X4,X5,X5,X6)
| ~ eqangle(X1,X2,X2,X3,X5,X6,X6,X4)
| ~ eqangle(X2,X1,X1,X3,X4,X5,X5,X6)
| ~ eqangle(X2,X1,X1,X3,X4,X5,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_173]) ).
cnf(c_0_182,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_174]) ).
cnf(c_0_183,negated_conjecture,
( ~ epred1_6(esk28_0,esk26_0,esk23_0,esk22_0,esk27_0,esk21_0)
| ~ eqangle(esk21_0,esk22_0,esk22_0,esk23_0,esk28_0,esk26_0,esk27_0,esk26_0)
| ~ cong(esk27_0,esk28_0,esk27_0,esk26_0) ),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_184,plain,
cong(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_178])]) ).
cnf(c_0_185,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X9,X10) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_179,c_0_163])]) ).
cnf(c_0_186,plain,
eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_163])]) ).
cnf(c_0_187,plain,
( epred1_6(X4,X6,X3,X2,X5,X1)
| ~ eqangle(X2,X1,X1,X3,X4,X5,X5,X6)
| ~ eqangle(X1,X2,X2,X3,X5,X6,X6,X4)
| ~ eqangle(X1,X2,X2,X3,X4,X5,X5,X6) ),
inference(cn,[status(thm)],[c_0_181]) ).
cnf(c_0_188,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ eqangle(X5,X6,X1,X2,X7,X8,X3,X4) ),
inference(spm,[status(thm)],[c_0_160,c_0_182]) ).
cnf(c_0_189,negated_conjecture,
( ~ epred1_6(esk28_0,esk26_0,esk23_0,esk22_0,esk27_0,esk21_0)
| ~ eqangle(esk21_0,esk22_0,esk22_0,esk23_0,esk28_0,esk26_0,esk27_0,esk26_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_183,c_0_184])]) ).
cnf(c_0_190,plain,
eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_191,plain,
( epred1_6(X1,X2,X3,X4,X5,X6)
| ~ eqangle(X6,X4,X4,X3,X5,X2,X2,X1)
| ~ eqangle(X6,X4,X4,X3,X1,X5,X5,X2)
| ~ eqangle(X1,X5,X4,X6,X5,X2,X6,X3) ),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_192,negated_conjecture,
~ epred1_6(esk28_0,esk26_0,esk23_0,esk22_0,esk27_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_189,c_0_190])]) ).
cnf(c_0_193,plain,
epred1_6(X1,X2,X3,X4,X5,X6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_191,c_0_190]),c_0_190]),c_0_190])]) ).
cnf(c_0_194,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_192,c_0_193])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO564+1 : TPTP v8.1.2. Released v7.5.0.
% 0.08/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 20:57:22 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 29.98/30.09 % Version : CSE_E---1.5
% 29.98/30.09 % Problem : theBenchmark.p
% 29.98/30.09 % Proof found
% 29.98/30.09 % SZS status Theorem for theBenchmark.p
% 29.98/30.09 % SZS output start Proof
% See solution above
% 29.98/30.10 % Total time : 29.519000 s
% 29.98/30.10 % SZS output end Proof
% 29.98/30.10 % Total time : 29.526000 s
%------------------------------------------------------------------------------