TSTP Solution File: GEO589+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO589+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n011.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 22:48:45 EDT 2023
% Result : Theorem 0.62s 0.80s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 71
% Syntax : Number of formulae : 247 ( 80 unt; 39 typ; 0 def)
% Number of atoms : 398 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 324 ( 134 ~; 130 |; 27 &)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 138 ( 31 >; 107 *; 0 +; 0 <<)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-8 aty)
% Number of functors : 28 ( 28 usr; 8 con; 0-6 aty)
% Number of variables : 572 ( 25 sgn; 304 !; 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,
esk1_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_34,type,
esk2_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_35,type,
esk3_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_36,type,
esk4_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_37,type,
esk5_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_38,type,
esk6_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_39,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_40,type,
esk8_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_41,type,
esk9_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_42,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_44,type,
esk12_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_45,type,
esk13_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_46,type,
esk14_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_47,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_48,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
esk17_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_50,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
esk20_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_53,type,
esk21_0: $i ).
tff(decl_54,type,
esk22_0: $i ).
tff(decl_55,type,
esk23_0: $i ).
tff(decl_56,type,
esk24_0: $i ).
tff(decl_57,type,
esk25_0: $i ).
tff(decl_58,type,
esk26_0: $i ).
tff(decl_59,type,
esk27_0: $i ).
tff(decl_60,type,
esk28_0: $i ).
fof(exemplo6GDDFULL416051,conjecture,
! [X1,X2,X3,X8,X4,X5,X19,X20] :
( ( circle(X8,X1,X2,X3)
& perp(X1,X3,X2,X4)
& circle(X8,X1,X4,X19)
& circle(X8,X4,X5,X20)
& coll(X5,X4,X8) )
=> para(X2,X5,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416051) ).
fof(ruleD8,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(ruleD7,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(ruleD9,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( perp(X1,X2,X3,X4)
& perp(X3,X4,X5,X6) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X3)
& coll(X1,X2,X4) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(ruleX11,axiom,
! [X1,X2,X3,X8] :
? [X9] :
( circle(X8,X1,X2,X3)
=> perp(X9,X1,X1,X8) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
fof(ruleD19,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X3,X4,X1,X2,X11,X12,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(ruleD40,axiom,
! [X1,X2,X3,X4,X9,X10] :
( para(X1,X2,X3,X4)
=> eqangle(X1,X2,X9,X10,X3,X4,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(ruleD39,axiom,
! [X1,X2,X3,X4,X9,X10] :
( eqangle(X1,X2,X9,X10,X3,X4,X9,X10)
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(ruleD42b,axiom,
! [X1,X2,X9,X10] :
( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
& coll(X9,X10,X2) )
=> cyclic(X1,X2,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(ruleD15,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X3,X2,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(ruleD14,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
fof(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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD51) ).
fof(ruleD41,axiom,
! [X1,X2,X9,X10] :
( cyclic(X1,X2,X9,X10)
=> eqangle(X9,X1,X9,X2,X10,X1,X10,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(ruleD16,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X2,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
fof(ruleD17,axiom,
! [X1,X2,X3,X4,X5] :
( ( cyclic(X1,X2,X3,X4)
& cyclic(X1,X2,X3,X5) )
=> cyclic(X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(ruleD73,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
& para(X9,X10,X11,X12) )
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(ruleD46,axiom,
! [X1,X2,X8] :
( cong(X8,X1,X8,X2)
=> eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(ruleD64,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& para(X1,X3,X2,X4)
& para(X1,X4,X2,X3) )
=> midp(X7,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(ruleD75,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( eqratio(X1,X2,X3,X4,X9,X10,X11,X12)
& cong(X9,X10,X11,X12) )
=> cong(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD75) ).
fof(ruleD70,axiom,
! [X1,X2,X3,X4,X7,X17] :
( ( midp(X7,X1,X2)
& midp(X17,X3,X4) )
=> eqratio(X7,X1,X1,X2,X17,X3,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD70) ).
fof(ruleD24,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(ruleD23,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(ruleD67,axiom,
! [X1,X2,X3] :
( ( cong(X1,X2,X1,X3)
& coll(X1,X2,X3) )
=> midp(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(ruleD74,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
& perp(X9,X10,X11,X12) )
=> perp(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
fof(ruleD56,axiom,
! [X1,X2,X9,X10] :
( ( cong(X1,X9,X2,X9)
& cong(X1,X10,X2,X10) )
=> perp(X1,X2,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(c_0_32,negated_conjecture,
~ ! [X1,X2,X3,X8,X4,X5,X19,X20] :
( ( circle(X8,X1,X2,X3)
& perp(X1,X3,X2,X4)
& circle(X8,X1,X4,X19)
& circle(X8,X4,X5,X20)
& coll(X5,X4,X8) )
=> para(X2,X5,X1,X3) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL416051]) ).
fof(c_0_33,plain,
! [X49,X50,X51,X52] :
( ~ perp(X49,X50,X51,X52)
| perp(X51,X52,X49,X50) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_34,negated_conjecture,
( circle(esk24_0,esk21_0,esk22_0,esk23_0)
& perp(esk21_0,esk23_0,esk22_0,esk25_0)
& circle(esk24_0,esk21_0,esk25_0,esk27_0)
& circle(esk24_0,esk25_0,esk26_0,esk28_0)
& coll(esk26_0,esk25_0,esk24_0)
& ~ para(esk22_0,esk26_0,esk21_0,esk23_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).
fof(c_0_35,plain,
! [X45,X46,X47,X48] :
( ~ perp(X45,X46,X47,X48)
| perp(X45,X46,X48,X47) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])]) ).
cnf(c_0_36,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_37,negated_conjecture,
perp(esk21_0,esk23_0,esk22_0,esk25_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_38,plain,
( perp(X1,X2,X4,X3)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_39,negated_conjecture,
perp(esk22_0,esk25_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_40,negated_conjecture,
perp(esk22_0,esk25_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
fof(c_0_41,plain,
! [X21,X22,X23] :
( ~ coll(X21,X22,X23)
| coll(X21,X23,X22) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
fof(c_0_42,plain,
! [X53,X54,X55,X56,X57,X58] :
( ~ perp(X53,X54,X55,X56)
| ~ perp(X55,X56,X57,X58)
| para(X53,X54,X57,X58) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
cnf(c_0_43,negated_conjecture,
perp(esk23_0,esk21_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_36,c_0_40]) ).
fof(c_0_44,plain,
! [X27,X28,X29,X30] :
( ~ coll(X27,X28,X29)
| ~ coll(X27,X28,X30)
| coll(X29,X30,X27) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_45,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_46,negated_conjecture,
coll(esk26_0,esk25_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_47,plain,
! [X385,X386,X387] :
( ~ para(X385,X386,X385,X387)
| coll(X385,X386,X387) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_48,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_49,negated_conjecture,
perp(esk23_0,esk21_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_38,c_0_43]) ).
cnf(c_0_50,negated_conjecture,
perp(esk21_0,esk23_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_38,c_0_37]) ).
fof(c_0_51,plain,
! [X24,X25,X26] :
( ~ coll(X24,X25,X26)
| coll(X25,X24,X26) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_52,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_53,negated_conjecture,
coll(esk26_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_54,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_55,negated_conjecture,
( para(X1,X2,esk25_0,esk22_0)
| ~ perp(X1,X2,esk23_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_56,negated_conjecture,
perp(esk25_0,esk22_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_36,c_0_50]) ).
cnf(c_0_57,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_58,negated_conjecture,
( coll(X1,esk25_0,esk26_0)
| ~ coll(esk26_0,esk24_0,X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_59,negated_conjecture,
( coll(esk25_0,X1,esk22_0)
| ~ perp(esk25_0,X1,esk23_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_60,negated_conjecture,
perp(esk25_0,esk22_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_38,c_0_56]) ).
cnf(c_0_61,negated_conjecture,
coll(esk25_0,esk26_0,esk24_0),
inference(spm,[status(thm)],[c_0_57,c_0_46]) ).
cnf(c_0_62,negated_conjecture,
coll(esk25_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_58,c_0_53]) ).
cnf(c_0_63,negated_conjecture,
coll(esk25_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_64,negated_conjecture,
( coll(X1,esk24_0,esk25_0)
| ~ coll(esk25_0,esk26_0,X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_61]) ).
cnf(c_0_65,negated_conjecture,
coll(esk25_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_45,c_0_62]) ).
cnf(c_0_66,negated_conjecture,
coll(esk22_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_57,c_0_63]) ).
cnf(c_0_67,negated_conjecture,
coll(esk25_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_68,negated_conjecture,
coll(esk22_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_45,c_0_66]) ).
fof(c_0_69,plain,
! [X495,X496,X497,X498] :
( ~ circle(X498,X495,X496,X497)
| perp(esk12_4(X495,X496,X497,X498),X495,X495,X498) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
cnf(c_0_70,negated_conjecture,
coll(esk25_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_45,c_0_67]) ).
cnf(c_0_71,negated_conjecture,
( coll(X1,esk25_0,esk22_0)
| ~ coll(esk22_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_68]) ).
cnf(c_0_72,plain,
( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_73,negated_conjecture,
( coll(X1,esk24_0,esk25_0)
| ~ coll(esk25_0,esk25_0,X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_70]) ).
cnf(c_0_74,negated_conjecture,
coll(esk25_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_71,c_0_68]) ).
cnf(c_0_75,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_48,c_0_72]) ).
cnf(c_0_76,plain,
( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_36,c_0_72]) ).
cnf(c_0_77,negated_conjecture,
coll(esk24_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_64,c_0_61]) ).
cnf(c_0_78,negated_conjecture,
coll(esk22_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_79,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_80,negated_conjecture,
circle(esk24_0,esk21_0,esk22_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_81,negated_conjecture,
coll(esk24_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_45,c_0_77]) ).
cnf(c_0_82,negated_conjecture,
coll(esk24_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_57,c_0_78]) ).
cnf(c_0_83,negated_conjecture,
( para(X1,X2,esk23_0,esk21_0)
| ~ perp(X1,X2,esk25_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_60]) ).
cnf(c_0_84,negated_conjecture,
para(esk21_0,esk24_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
fof(c_0_85,plain,
! [X102,X103,X104,X105,X106,X107,X108,X109] :
( ~ eqangle(X102,X103,X104,X105,X106,X107,X108,X109)
| eqangle(X104,X105,X102,X103,X108,X109,X106,X107) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_86,plain,
! [X256,X257,X258,X259,X260,X261] :
( ~ para(X256,X257,X258,X259)
| eqangle(X256,X257,X260,X261,X258,X259,X260,X261) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
cnf(c_0_87,negated_conjecture,
( coll(X1,esk24_0,esk24_0)
| ~ coll(esk24_0,esk25_0,X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_81]) ).
cnf(c_0_88,negated_conjecture,
coll(esk24_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_45,c_0_82]) ).
cnf(c_0_89,negated_conjecture,
( coll(esk23_0,X1,esk21_0)
| ~ perp(esk23_0,X1,esk25_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_54,c_0_83]) ).
cnf(c_0_90,negated_conjecture,
coll(esk21_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_54,c_0_84]) ).
fof(c_0_91,plain,
! [X250,X251,X252,X253,X254,X255] :
( ~ eqangle(X250,X251,X254,X255,X252,X253,X254,X255)
| para(X250,X251,X252,X253) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_92,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_85]) ).
cnf(c_0_93,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_94,negated_conjecture,
coll(esk22_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_95,negated_conjecture,
coll(esk23_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_89,c_0_49]) ).
cnf(c_0_96,negated_conjecture,
coll(esk24_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_57,c_0_90]) ).
cnf(c_0_97,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_98,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_99,negated_conjecture,
circle(esk24_0,esk25_0,esk26_0,esk28_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_100,negated_conjecture,
coll(esk24_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_57,c_0_94]) ).
cnf(c_0_101,negated_conjecture,
coll(esk21_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_57,c_0_95]) ).
cnf(c_0_102,negated_conjecture,
coll(esk24_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_45,c_0_96]) ).
cnf(c_0_103,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_104,negated_conjecture,
para(esk25_0,esk24_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_79,c_0_99]) ).
cnf(c_0_105,negated_conjecture,
coll(esk24_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_45,c_0_100]) ).
cnf(c_0_106,negated_conjecture,
coll(esk21_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_45,c_0_101]) ).
cnf(c_0_107,negated_conjecture,
( coll(X1,esk21_0,esk24_0)
| ~ coll(esk24_0,esk24_0,X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_102]) ).
cnf(c_0_108,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_109,negated_conjecture,
( coll(X1,esk22_0,esk24_0)
| ~ coll(esk24_0,esk24_0,X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_105]) ).
cnf(c_0_110,negated_conjecture,
( coll(X1,esk23_0,esk21_0)
| ~ coll(esk21_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_106]) ).
cnf(c_0_111,negated_conjecture,
coll(esk21_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_107,c_0_102]) ).
cnf(c_0_112,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_54,c_0_108]) ).
cnf(c_0_113,negated_conjecture,
coll(esk21_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_109,c_0_102]) ).
cnf(c_0_114,negated_conjecture,
coll(esk24_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
fof(c_0_115,plain,
! [X270,X271,X272,X273] :
( ~ eqangle(X272,X270,X272,X271,X273,X270,X273,X271)
| ~ coll(X272,X273,X271)
| cyclic(X270,X271,X272,X273) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
cnf(c_0_116,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_57,c_0_112]) ).
cnf(c_0_117,negated_conjecture,
coll(esk21_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_45,c_0_113]) ).
cnf(c_0_118,negated_conjecture,
coll(esk24_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_45,c_0_114]) ).
cnf(c_0_119,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_115]) ).
cnf(c_0_120,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_45,c_0_116]) ).
cnf(c_0_121,negated_conjecture,
coll(esk23_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_110,c_0_106]) ).
cnf(c_0_122,negated_conjecture,
( coll(X1,esk22_0,esk21_0)
| ~ coll(esk21_0,esk24_0,X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_117]) ).
cnf(c_0_123,negated_conjecture,
coll(esk21_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_57,c_0_118]) ).
fof(c_0_124,plain,
! [X81,X82,X83,X84] :
( ~ cyclic(X81,X82,X83,X84)
| cyclic(X81,X83,X82,X84) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_125,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_119,c_0_93]) ).
cnf(c_0_126,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_120]),c_0_120])]) ).
cnf(c_0_127,negated_conjecture,
coll(esk23_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_45,c_0_121]) ).
cnf(c_0_128,negated_conjecture,
coll(esk23_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
fof(c_0_129,plain,
! [X77,X78,X79,X80] :
( ~ cyclic(X77,X78,X79,X80)
| cyclic(X77,X78,X80,X79) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_130,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_131,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_108])]),c_0_126])]) ).
fof(c_0_132,plain,
! [X311,X312,X313,X314,X315] :
( ~ circle(X314,X311,X312,X313)
| ~ coll(X315,X312,X313)
| ~ eqangle(X311,X312,X311,X313,X314,X312,X314,X315)
| midp(X315,X312,X313) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])]) ).
fof(c_0_133,plain,
! [X262,X263,X264,X265] :
( ~ cyclic(X262,X263,X264,X265)
| eqangle(X264,X262,X264,X263,X265,X262,X265,X263) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
cnf(c_0_134,negated_conjecture,
( coll(X1,esk23_0,esk23_0)
| ~ coll(esk23_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_127]) ).
cnf(c_0_135,negated_conjecture,
coll(esk23_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_45,c_0_128]) ).
fof(c_0_136,plain,
! [X85,X86,X87,X88] :
( ~ cyclic(X85,X86,X87,X88)
| cyclic(X86,X85,X87,X88) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_137,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_138,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_139,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_132]) ).
cnf(c_0_140,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_141,negated_conjecture,
coll(esk22_0,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
fof(c_0_142,plain,
! [X89,X90,X91,X92,X93] :
( ~ cyclic(X89,X90,X91,X92)
| ~ cyclic(X89,X90,X91,X93)
| cyclic(X90,X91,X92,X93) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_143,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
cnf(c_0_144,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_145,plain,
( midp(X1,X2,X1)
| ~ cyclic(X2,X1,X3,X4)
| ~ circle(X4,X3,X2,X1)
| ~ coll(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_146,negated_conjecture,
coll(esk23_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_57,c_0_141]) ).
cnf(c_0_147,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_148,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
fof(c_0_149,plain,
! [X65,X66,X67] :
( ~ midp(X67,X66,X65)
| midp(X67,X65,X66) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_150,negated_conjecture,
( midp(esk23_0,esk22_0,esk23_0)
| ~ cyclic(esk22_0,esk23_0,esk21_0,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_80]),c_0_146])]) ).
cnf(c_0_151,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_148])]) ).
fof(c_0_152,plain,
! [X411,X412,X413,X414,X415,X416,X417,X418] :
( ~ eqangle(X411,X412,X413,X414,X415,X416,X417,X418)
| ~ para(X415,X416,X417,X418)
| para(X411,X412,X413,X414) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_153,plain,
! [X290,X291,X292] :
( ~ cong(X292,X290,X292,X291)
| eqangle(X292,X290,X290,X291,X290,X291,X292,X291) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
fof(c_0_154,plain,
! [X391,X392,X393] :
( ~ midp(X391,X392,X393)
| cong(X391,X392,X391,X393) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_155,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_149]) ).
cnf(c_0_156,negated_conjecture,
midp(esk23_0,esk22_0,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_151])]) ).
cnf(c_0_157,plain,
( para(X1,X2,X3,X4)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ para(X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_152]) ).
cnf(c_0_158,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_153]) ).
cnf(c_0_159,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_154]) ).
cnf(c_0_160,negated_conjecture,
midp(esk23_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
fof(c_0_161,plain,
! [X31,X32,X33,X34] :
( ~ para(X31,X32,X33,X34)
| para(X31,X32,X34,X33) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_162,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_163,negated_conjecture,
cong(esk23_0,esk23_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
fof(c_0_164,plain,
! [X375,X376,X377,X378,X379] :
( ~ midp(X379,X375,X376)
| ~ para(X375,X377,X376,X378)
| ~ para(X375,X378,X376,X377)
| midp(X379,X377,X378) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_165,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
cnf(c_0_166,negated_conjecture,
para(esk23_0,esk23_0,esk23_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_108])]) ).
fof(c_0_167,plain,
! [X427,X428,X429,X430,X431,X432,X433,X434] :
( ~ eqratio(X427,X428,X429,X430,X431,X432,X433,X434)
| ~ cong(X431,X432,X433,X434)
| cong(X427,X428,X429,X430) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).
fof(c_0_168,plain,
! [X397,X398,X399,X400,X401,X402] :
( ~ midp(X401,X397,X398)
| ~ midp(X402,X399,X400)
| eqratio(X401,X397,X397,X398,X402,X399,X399,X400) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).
cnf(c_0_169,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_164]) ).
cnf(c_0_170,negated_conjecture,
para(esk23_0,esk23_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_171,plain,
( cong(X1,X2,X3,X4)
| ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ cong(X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_167]) ).
cnf(c_0_172,plain,
( eqratio(X1,X2,X2,X3,X4,X5,X5,X6)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_168]) ).
cnf(c_0_173,negated_conjecture,
( midp(X1,esk23_0,esk23_0)
| ~ midp(X1,esk23_0,esk22_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_170])]) ).
cnf(c_0_174,plain,
( cong(X1,X2,X2,X3)
| ~ cong(X4,X5,X5,X6)
| ~ midp(X4,X5,X6)
| ~ midp(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_175,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_108]),c_0_108])]) ).
cnf(c_0_176,negated_conjecture,
midp(esk23_0,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_173,c_0_160]) ).
fof(c_0_177,plain,
! [X142,X143,X144,X145] :
( ~ cong(X142,X143,X144,X145)
| cong(X144,X145,X142,X143) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_178,negated_conjecture,
( cong(X1,X2,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_163]),c_0_160])]) ).
cnf(c_0_179,negated_conjecture,
midp(esk23_0,X1,X1),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
fof(c_0_180,plain,
! [X138,X139,X140,X141] :
( ~ cong(X138,X139,X140,X141)
| cong(X138,X139,X141,X140) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_181,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_177]) ).
cnf(c_0_182,negated_conjecture,
cong(esk23_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_183,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_180]) ).
cnf(c_0_184,negated_conjecture,
cong(X1,X1,esk23_0,X1),
inference(spm,[status(thm)],[c_0_181,c_0_182]) ).
cnf(c_0_185,negated_conjecture,
cong(X1,X1,X1,esk23_0),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
fof(c_0_186,plain,
! [X388,X389,X390] :
( ~ cong(X388,X389,X388,X390)
| ~ coll(X388,X389,X390)
| midp(X388,X389,X390) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_187,negated_conjecture,
para(X1,X1,X1,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_185]),c_0_108])]) ).
cnf(c_0_188,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_189,negated_conjecture,
para(X1,X1,esk23_0,X1),
inference(spm,[status(thm)],[c_0_165,c_0_187]) ).
cnf(c_0_190,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_188,c_0_126])]) ).
cnf(c_0_191,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X2,esk23_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_189]),c_0_189])]) ).
cnf(c_0_192,negated_conjecture,
midp(X1,X1,esk23_0),
inference(spm,[status(thm)],[c_0_190,c_0_185]) ).
fof(c_0_193,plain,
! [X419,X420,X421,X422,X423,X424,X425,X426] :
( ~ eqangle(X419,X420,X421,X422,X423,X424,X425,X426)
| ~ perp(X423,X424,X425,X426)
| perp(X419,X420,X421,X422) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD74])]) ).
cnf(c_0_194,negated_conjecture,
midp(X1,X1,X1),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_195,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_193]) ).
fof(c_0_196,plain,
! [X332,X333,X334,X335] :
( ~ cong(X332,X334,X333,X334)
| ~ cong(X332,X335,X333,X335)
| perp(X332,X333,X334,X335) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).
cnf(c_0_197,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_175,c_0_194]) ).
cnf(c_0_198,plain,
( perp(X1,X2,X1,X3)
| ~ cyclic(X2,X3,X1,X4)
| ~ perp(X4,X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_195,c_0_140]) ).
cnf(c_0_199,plain,
( perp(X1,X3,X2,X4)
| ~ cong(X1,X2,X3,X2)
| ~ cong(X1,X4,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_196]) ).
cnf(c_0_200,negated_conjecture,
cong(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_159,c_0_197]) ).
cnf(c_0_201,negated_conjecture,
~ para(esk22_0,esk26_0,esk21_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_202,negated_conjecture,
( para(X1,X2,esk21_0,esk23_0)
| ~ perp(X1,X2,esk22_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_39]) ).
cnf(c_0_203,plain,
( perp(X1,X2,X1,X3)
| ~ perp(X4,X2,X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_198,c_0_151])]) ).
cnf(c_0_204,negated_conjecture,
perp(X1,X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_200])]) ).
cnf(c_0_205,negated_conjecture,
~ perp(esk22_0,esk26_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_206,negated_conjecture,
perp(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_207,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_205,c_0_206])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO589+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n011.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 : Tue Aug 29 22:38:11 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 0.62/0.80 % Version : CSE_E---1.5
% 0.62/0.80 % Problem : theBenchmark.p
% 0.62/0.80 % Proof found
% 0.62/0.80 % SZS status Theorem for theBenchmark.p
% 0.62/0.80 % SZS output start Proof
% See solution above
% 0.62/0.82 % Total time : 0.242000 s
% 0.62/0.82 % SZS output end Proof
% 0.62/0.82 % Total time : 0.247000 s
%------------------------------------------------------------------------------