TSTP Solution File: GEO607+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO607+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 : n009.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 22:48:50 EDT 2023
% Result : Theorem 0.55s 0.81s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 70
% Syntax : Number of formulae : 295 ( 104 unt; 37 typ; 0 def)
% Number of atoms : 500 ( 0 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 421 ( 179 ~; 176 |; 32 &)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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 : 26 ( 26 usr; 6 con; 0-6 aty)
% Number of variables : 632 ( 36 sgn; 314 !; 2 ?; 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 ).
fof(exemplo6GDDFULL618069,conjecture,
! [X1,X2,X3,X4,X5,X6] :
( ( midp(X3,X2,X1)
& perp(X4,X1,X4,X2)
& circle(X5,X1,X3,X4)
& circle(X6,X2,X4,X3) )
=> perp(X5,X4,X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618069) ).
fof(ruleD9,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( perp(X1,X2,X3,X4)
& perp(X3,X4,X5,X6) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(ruleX11,axiom,
! [X1,X2,X3,X8] :
? [X9] :
( circle(X8,X1,X2,X3)
=> perp(X9,X1,X1,X8) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
fof(ruleD8,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(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(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(ruleD52,axiom,
! [X1,X2,X3,X7] :
( ( perp(X1,X2,X2,X3)
& midp(X7,X1,X3) )
=> cong(X1,X7,X2,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
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(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(ruleD69,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
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(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(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(ruleD53,axiom,
! [X1,X2,X3,X8] :
( ( circle(X8,X1,X2,X3)
& coll(X8,X1,X3) )
=> perp(X1,X2,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
fof(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(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(ruleD25,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( cong(X1,X2,X3,X4)
& cong(X3,X4,X5,X6) )
=> cong(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
fof(ruleD55,axiom,
! [X1,X2,X7,X8] :
( ( midp(X7,X1,X2)
& perp(X8,X7,X1,X2) )
=> cong(X8,X1,X8,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
fof(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(ruleD63,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& midp(X7,X3,X4) )
=> para(X1,X3,X2,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(ruleX6,axiom,
! [X1,X2,X3,X4,X7,X17] :
? [X9] :
( ( midp(X7,X1,X2)
& midp(X17,X3,X4) )
=> ( midp(X9,X1,X4)
& para(X9,X7,X2,X4)
& para(X9,X17,X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
fof(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(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(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(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(ruleD45,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& para(X5,X6,X2,X3)
& coll(X6,X1,X3) )
=> midp(X6,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(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(c_0_33,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6] :
( ( midp(X3,X2,X1)
& perp(X4,X1,X4,X2)
& circle(X5,X1,X3,X4)
& circle(X6,X2,X4,X3) )
=> perp(X5,X4,X4,X6) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL618069]) ).
fof(c_0_34,plain,
! [X51,X52,X53,X54,X55,X56] :
( ~ perp(X51,X52,X53,X54)
| ~ perp(X53,X54,X55,X56)
| para(X51,X52,X55,X56) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_35,plain,
! [X493,X494,X495,X496] :
( ~ circle(X496,X493,X494,X495)
| perp(esk12_4(X493,X494,X495,X496),X493,X493,X496) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
fof(c_0_36,plain,
! [X47,X48,X49,X50] :
( ~ perp(X47,X48,X49,X50)
| perp(X49,X50,X47,X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_37,negated_conjecture,
( midp(esk23_0,esk22_0,esk21_0)
& perp(esk24_0,esk21_0,esk24_0,esk22_0)
& circle(esk25_0,esk21_0,esk23_0,esk24_0)
& circle(esk26_0,esk22_0,esk24_0,esk23_0)
& ~ perp(esk25_0,esk24_0,esk24_0,esk26_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
cnf(c_0_38,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_39,plain,
( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_40,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_41,plain,
! [X43,X44,X45,X46] :
( ~ perp(X43,X44,X45,X46)
| perp(X43,X44,X46,X45) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])]) ).
cnf(c_0_42,negated_conjecture,
perp(esk24_0,esk21_0,esk24_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_43,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_38,c_0_39]) ).
cnf(c_0_44,plain,
( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_40,c_0_39]) ).
cnf(c_0_45,plain,
( perp(X1,X2,X4,X3)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_46,negated_conjecture,
perp(esk24_0,esk22_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_40,c_0_42]) ).
fof(c_0_47,plain,
! [X383,X384,X385] :
( ~ para(X383,X384,X383,X385)
| coll(X383,X384,X385) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_48,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,negated_conjecture,
circle(esk25_0,esk21_0,esk23_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_50,plain,
! [X314,X315,X316,X317] :
( ~ perp(X314,X315,X315,X316)
| ~ midp(X317,X314,X316)
| cong(X314,X317,X315,X317) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD52])]) ).
cnf(c_0_51,negated_conjecture,
perp(esk24_0,esk22_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
fof(c_0_52,plain,
! [X63,X64,X65] :
( ~ midp(X65,X64,X63)
| midp(X65,X63,X64) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_53,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_54,negated_conjecture,
( para(X1,X2,esk24_0,esk21_0)
| ~ perp(X1,X2,esk24_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_46]) ).
fof(c_0_55,plain,
! [X22,X23,X24] :
( ~ coll(X22,X23,X24)
| coll(X23,X22,X24) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_56,negated_conjecture,
para(esk21_0,esk25_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_57,plain,
( cong(X1,X4,X2,X4)
| ~ perp(X1,X2,X2,X3)
| ~ midp(X4,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_58,negated_conjecture,
perp(esk21_0,esk24_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_40,c_0_51]) ).
cnf(c_0_59,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_60,negated_conjecture,
midp(esk23_0,esk22_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_61,plain,
! [X392,X393,X394] :
( ~ midp(X392,X393,X394)
| coll(X392,X393,X394) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).
cnf(c_0_62,negated_conjecture,
( coll(esk24_0,X1,esk21_0)
| ~ perp(esk24_0,X1,esk24_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
fof(c_0_63,plain,
! [X19,X20,X21] :
( ~ coll(X19,X20,X21)
| coll(X19,X21,X20) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_64,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_65,negated_conjecture,
coll(esk21_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_53,c_0_56]) ).
fof(c_0_66,plain,
! [X136,X137,X138,X139] :
( ~ cong(X136,X137,X138,X139)
| cong(X136,X137,X139,X138) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_67,negated_conjecture,
( cong(esk21_0,X1,esk24_0,X1)
| ~ midp(X1,esk21_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_68,negated_conjecture,
midp(esk23_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
fof(c_0_69,plain,
! [X25,X26,X27,X28] :
( ~ coll(X25,X26,X27)
| ~ coll(X25,X26,X28)
| coll(X27,X28,X25) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_70,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_71,negated_conjecture,
coll(esk24_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_62,c_0_42]) ).
cnf(c_0_72,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_73,negated_conjecture,
coll(esk25_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
fof(c_0_74,plain,
! [X140,X141,X142,X143] :
( ~ cong(X140,X141,X142,X143)
| cong(X142,X143,X140,X141) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_75,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_76,negated_conjecture,
cong(esk21_0,esk23_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_77,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_78,negated_conjecture,
coll(esk23_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_70,c_0_60]) ).
cnf(c_0_79,negated_conjecture,
coll(esk21_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_64,c_0_71]) ).
cnf(c_0_80,negated_conjecture,
coll(esk25_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_81,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_82,negated_conjecture,
cong(esk21_0,esk23_0,esk23_0,esk24_0),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_83,negated_conjecture,
( coll(X1,esk21_0,esk23_0)
| ~ coll(esk23_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
fof(c_0_84,plain,
! [X318,X319,X320,X321] :
( ~ circle(X321,X318,X319,X320)
| ~ coll(X321,X318,X320)
| perp(X318,X319,X319,X320) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD53])]) ).
cnf(c_0_85,negated_conjecture,
coll(esk21_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_72,c_0_79]) ).
cnf(c_0_86,negated_conjecture,
( coll(X1,esk21_0,esk25_0)
| ~ coll(esk25_0,esk25_0,X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_80]) ).
fof(c_0_87,plain,
! [X386,X387,X388] :
( ~ cong(X386,X387,X386,X388)
| ~ coll(X386,X387,X388)
| midp(X386,X387,X388) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_88,negated_conjecture,
cong(esk23_0,esk24_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_89,negated_conjecture,
coll(esk21_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_83,c_0_78]) ).
cnf(c_0_90,plain,
( perp(X2,X3,X3,X4)
| ~ circle(X1,X2,X3,X4)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_91,negated_conjecture,
( coll(X1,esk24_0,esk21_0)
| ~ coll(esk21_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_85]) ).
cnf(c_0_92,negated_conjecture,
coll(esk21_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_86,c_0_80]) ).
cnf(c_0_93,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_94,negated_conjecture,
cong(esk23_0,esk24_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_75,c_0_88]) ).
cnf(c_0_95,negated_conjecture,
( coll(X1,esk23_0,esk21_0)
| ~ coll(esk21_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_89]) ).
cnf(c_0_96,negated_conjecture,
coll(esk22_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_64,c_0_78]) ).
cnf(c_0_97,negated_conjecture,
circle(esk26_0,esk22_0,esk24_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_98,negated_conjecture,
( perp(esk21_0,esk23_0,esk23_0,esk24_0)
| ~ coll(esk25_0,esk21_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_49]) ).
cnf(c_0_99,negated_conjecture,
coll(esk25_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_100,negated_conjecture,
( midp(esk23_0,esk24_0,esk21_0)
| ~ coll(esk23_0,esk24_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_101,negated_conjecture,
coll(esk24_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_95,c_0_85]) ).
cnf(c_0_102,negated_conjecture,
coll(esk22_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_72,c_0_96]) ).
cnf(c_0_103,negated_conjecture,
para(esk22_0,esk26_0,esk22_0,esk26_0),
inference(spm,[status(thm)],[c_0_48,c_0_97]) ).
cnf(c_0_104,negated_conjecture,
( cong(esk21_0,X1,esk23_0,X1)
| ~ midp(X1,esk21_0,esk24_0)
| ~ coll(esk25_0,esk21_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_57,c_0_98]) ).
cnf(c_0_105,negated_conjecture,
coll(esk25_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_72,c_0_99]) ).
cnf(c_0_106,negated_conjecture,
( midp(esk23_0,esk21_0,esk24_0)
| ~ coll(esk23_0,esk24_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_100]) ).
cnf(c_0_107,negated_conjecture,
coll(esk23_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_64,c_0_101]) ).
cnf(c_0_108,negated_conjecture,
( coll(X1,esk23_0,esk22_0)
| ~ coll(esk22_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_102]) ).
cnf(c_0_109,negated_conjecture,
coll(esk22_0,esk26_0,esk26_0),
inference(spm,[status(thm)],[c_0_53,c_0_103]) ).
fof(c_0_110,plain,
! [X417,X418,X419,X420,X421,X422,X423,X424] :
( ~ eqangle(X417,X418,X419,X420,X421,X422,X423,X424)
| ~ perp(X421,X422,X423,X424)
| perp(X417,X418,X419,X420) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD74])]) ).
fof(c_0_111,plain,
! [X288,X289,X290] :
( ~ cong(X290,X288,X290,X289)
| eqangle(X290,X288,X288,X289,X288,X289,X290,X289) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_112,negated_conjecture,
( cong(esk21_0,X1,esk23_0,X1)
| ~ midp(X1,esk21_0,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_105])]) ).
cnf(c_0_113,negated_conjecture,
midp(esk23_0,esk21_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_107])]) ).
cnf(c_0_114,negated_conjecture,
coll(esk23_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_108,c_0_102]) ).
fof(c_0_115,plain,
! [X389,X390,X391] :
( ~ midp(X389,X390,X391)
| cong(X389,X390,X389,X391) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_116,negated_conjecture,
coll(esk23_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_72,c_0_78]) ).
cnf(c_0_117,negated_conjecture,
coll(esk26_0,esk22_0,esk26_0),
inference(spm,[status(thm)],[c_0_64,c_0_109]) ).
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_110]) ).
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_111]) ).
cnf(c_0_120,negated_conjecture,
cong(esk21_0,esk23_0,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_121,negated_conjecture,
coll(esk23_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_72,c_0_114]) ).
fof(c_0_122,plain,
! [X144,X145,X146,X147,X148,X149] :
( ~ cong(X144,X145,X146,X147)
| ~ cong(X146,X147,X148,X149)
| cong(X144,X145,X148,X149) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).
cnf(c_0_123,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_124,negated_conjecture,
( coll(X1,esk22_0,esk23_0)
| ~ coll(esk23_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_116]) ).
cnf(c_0_125,negated_conjecture,
coll(esk26_0,esk26_0,esk22_0),
inference(spm,[status(thm)],[c_0_72,c_0_117]) ).
cnf(c_0_126,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]) ).
fof(c_0_127,plain,
! [X326,X327,X328,X329] :
( ~ midp(X328,X326,X327)
| ~ perp(X329,X328,X326,X327)
| cong(X329,X326,X329,X327) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD55])]) ).
cnf(c_0_128,negated_conjecture,
( perp(esk21_0,esk23_0,esk24_0,esk23_0)
| ~ coll(esk25_0,esk21_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_98]) ).
cnf(c_0_129,negated_conjecture,
cong(esk23_0,esk23_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_81,c_0_120]) ).
cnf(c_0_130,negated_conjecture,
coll(esk23_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_83,c_0_121]) ).
fof(c_0_131,plain,
! [X373,X374,X375,X376,X377] :
( ~ midp(X377,X373,X374)
| ~ para(X373,X375,X374,X376)
| ~ para(X373,X376,X374,X375)
| midp(X377,X375,X376) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_132,plain,
( cong(X1,X2,X5,X6)
| ~ cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_133,negated_conjecture,
cong(esk23_0,esk21_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_123,c_0_68]) ).
cnf(c_0_134,negated_conjecture,
coll(esk22_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_124,c_0_116]) ).
cnf(c_0_135,negated_conjecture,
( coll(X1,esk22_0,esk26_0)
| ~ coll(esk26_0,esk26_0,X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_125]) ).
cnf(c_0_136,negated_conjecture,
cong(esk23_0,esk22_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_123,c_0_60]) ).
cnf(c_0_137,negated_conjecture,
( perp(esk23_0,esk24_0,esk24_0,esk21_0)
| ~ perp(esk24_0,esk21_0,esk23_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_126,c_0_94]) ).
cnf(c_0_138,plain,
( cong(X4,X2,X4,X3)
| ~ midp(X1,X2,X3)
| ~ perp(X4,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_139,negated_conjecture,
( perp(esk24_0,esk23_0,esk21_0,esk23_0)
| ~ coll(esk25_0,esk21_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_128]) ).
cnf(c_0_140,negated_conjecture,
cong(esk23_0,esk23_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_75,c_0_129]) ).
cnf(c_0_141,negated_conjecture,
coll(esk23_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_72,c_0_130]) ).
cnf(c_0_142,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_131]) ).
cnf(c_0_143,negated_conjecture,
( cong(X1,X2,esk23_0,esk22_0)
| ~ cong(X1,X2,esk23_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_144,negated_conjecture,
coll(esk22_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_72,c_0_134]) ).
cnf(c_0_145,negated_conjecture,
( coll(X1,esk23_0,esk22_0)
| ~ coll(esk22_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_134]) ).
cnf(c_0_146,negated_conjecture,
coll(esk22_0,esk22_0,esk26_0),
inference(spm,[status(thm)],[c_0_135,c_0_125]) ).
cnf(c_0_147,negated_conjecture,
cong(esk23_0,esk22_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_75,c_0_136]) ).
cnf(c_0_148,negated_conjecture,
( perp(esk23_0,esk24_0,esk21_0,esk24_0)
| ~ perp(esk24_0,esk21_0,esk23_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_137]) ).
cnf(c_0_149,negated_conjecture,
( cong(esk24_0,esk21_0,esk24_0,esk23_0)
| ~ midp(esk23_0,esk21_0,esk23_0)
| ~ coll(esk25_0,esk21_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_150,negated_conjecture,
midp(esk23_0,esk23_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_140]),c_0_141])]) ).
fof(c_0_151,plain,
! [X368,X369,X370,X371,X372] :
( ~ midp(X372,X368,X369)
| ~ midp(X372,X370,X371)
| para(X368,X370,X369,X371) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).
fof(c_0_152,plain,
! [X459,X460,X461,X462,X463,X464] :
( ( midp(esk6_6(X459,X460,X461,X462,X463,X464),X459,X462)
| ~ midp(X463,X459,X460)
| ~ midp(X464,X461,X462) )
& ( para(esk6_6(X459,X460,X461,X462,X463,X464),X463,X460,X462)
| ~ midp(X463,X459,X460)
| ~ midp(X464,X461,X462) )
& ( para(esk6_6(X459,X460,X461,X462,X463,X464),X464,X459,X461)
| ~ midp(X463,X459,X460)
| ~ midp(X464,X461,X462) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX6])])])])]) ).
cnf(c_0_153,negated_conjecture,
( midp(X1,esk26_0,esk26_0)
| ~ midp(X1,esk22_0,esk22_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_103]),c_0_103])]) ).
cnf(c_0_154,negated_conjecture,
cong(esk23_0,esk22_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_143,c_0_136]) ).
cnf(c_0_155,negated_conjecture,
coll(esk23_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_64,c_0_144]) ).
cnf(c_0_156,negated_conjecture,
coll(esk26_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_157,negated_conjecture,
( cong(X1,X2,esk21_0,esk23_0)
| ~ cong(X1,X2,esk23_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_132,c_0_147]) ).
cnf(c_0_158,negated_conjecture,
( perp(esk21_0,esk24_0,esk23_0,esk24_0)
| ~ perp(esk24_0,esk21_0,esk23_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_148]) ).
cnf(c_0_159,negated_conjecture,
( cong(esk24_0,esk21_0,esk24_0,esk23_0)
| ~ midp(esk23_0,esk21_0,esk23_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_105])]) ).
cnf(c_0_160,negated_conjecture,
midp(esk23_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_59,c_0_150]) ).
cnf(c_0_161,plain,
( para(X2,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_162,plain,
( midp(esk6_6(X1,X2,X3,X4,X5,X6),X1,X4)
| ~ midp(X5,X1,X2)
| ~ midp(X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_152]) ).
cnf(c_0_163,negated_conjecture,
( cong(X1,esk26_0,X1,esk26_0)
| ~ midp(X1,esk22_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_123,c_0_153]) ).
cnf(c_0_164,negated_conjecture,
midp(esk23_0,esk22_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_154]),c_0_155])]) ).
cnf(c_0_165,negated_conjecture,
( coll(X1,esk26_0,esk26_0)
| ~ coll(esk26_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_117]) ).
cnf(c_0_166,negated_conjecture,
coll(esk26_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_72,c_0_156]) ).
fof(c_0_167,plain,
! [X330,X331,X332,X333] :
( ~ cong(X330,X332,X331,X332)
| ~ cong(X330,X333,X331,X333)
| perp(X330,X331,X332,X333) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).
cnf(c_0_168,negated_conjecture,
cong(esk23_0,esk21_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_157,c_0_133]) ).
cnf(c_0_169,negated_conjecture,
( perp(esk21_0,esk24_0,esk24_0,esk23_0)
| ~ perp(esk24_0,esk21_0,esk23_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_158]) ).
cnf(c_0_170,negated_conjecture,
cong(esk24_0,esk21_0,esk24_0,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_160])]) ).
cnf(c_0_171,negated_conjecture,
perp(esk21_0,esk23_0,esk24_0,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_105])]) ).
fof(c_0_172,plain,
! [X100,X101,X102,X103,X104,X105,X106,X107] :
( ~ eqangle(X100,X101,X102,X103,X104,X105,X106,X107)
| eqangle(X102,X103,X100,X101,X106,X107,X104,X105) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_173,plain,
! [X254,X255,X256,X257,X258,X259] :
( ~ para(X254,X255,X256,X257)
| eqangle(X254,X255,X258,X259,X256,X257,X258,X259) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
cnf(c_0_174,plain,
( para(X1,X2,X3,X4)
| ~ midp(esk6_6(X2,X5,X6,X4,X7,X8),X1,X3)
| ~ midp(X8,X6,X4)
| ~ midp(X7,X2,X5) ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_175,negated_conjecture,
cong(esk23_0,esk26_0,esk23_0,esk26_0),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_176,negated_conjecture,
coll(esk23_0,esk26_0,esk26_0),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_177,plain,
( perp(X1,X3,X2,X4)
| ~ cong(X1,X2,X3,X2)
| ~ cong(X1,X4,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_167]) ).
cnf(c_0_178,negated_conjecture,
cong(esk23_0,esk21_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_75,c_0_168]) ).
cnf(c_0_179,negated_conjecture,
( perp(esk24_0,esk23_0,esk21_0,esk24_0)
| ~ perp(esk24_0,esk21_0,esk23_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_169]) ).
cnf(c_0_180,negated_conjecture,
perp(esk24_0,esk21_0,esk21_0,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_170]),c_0_171])]) ).
fof(c_0_181,plain,
! [X248,X249,X250,X251,X252,X253] :
( ~ eqangle(X248,X249,X252,X253,X250,X251,X252,X253)
| para(X248,X249,X250,X251) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_182,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_172]) ).
cnf(c_0_183,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_173]) ).
cnf(c_0_184,plain,
( para(X1,X1,X2,X2)
| ~ midp(X3,X4,X2)
| ~ midp(X5,X1,X6) ),
inference(spm,[status(thm)],[c_0_174,c_0_162]) ).
cnf(c_0_185,negated_conjecture,
midp(esk23_0,esk26_0,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_175]),c_0_176])]) ).
cnf(c_0_186,negated_conjecture,
( perp(esk23_0,esk23_0,X1,esk21_0)
| ~ cong(esk23_0,X1,esk23_0,X1) ),
inference(spm,[status(thm)],[c_0_177,c_0_178]) ).
cnf(c_0_187,negated_conjecture,
cong(esk21_0,esk23_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_81,c_0_147]) ).
cnf(c_0_188,negated_conjecture,
( perp(esk24_0,esk23_0,esk24_0,esk21_0)
| ~ perp(esk24_0,esk21_0,esk23_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_179]) ).
cnf(c_0_189,negated_conjecture,
perp(esk24_0,esk21_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_45,c_0_180]) ).
cnf(c_0_190,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_191,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_192,negated_conjecture,
( para(X1,X1,esk26_0,esk26_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_193,negated_conjecture,
perp(esk23_0,esk23_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_186,c_0_175]) ).
cnf(c_0_194,negated_conjecture,
cong(esk21_0,esk23_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_157,c_0_187]) ).
cnf(c_0_195,negated_conjecture,
coll(esk21_0,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_64,c_0_130]) ).
cnf(c_0_196,negated_conjecture,
coll(esk23_0,esk26_0,esk22_0),
inference(spm,[status(thm)],[c_0_64,c_0_156]) ).
fof(c_0_197,plain,
! [X425,X426,X427,X428,X429,X430,X431,X432] :
( ~ eqratio(X425,X426,X427,X428,X429,X430,X431,X432)
| ~ cong(X429,X430,X431,X432)
| cong(X425,X426,X427,X428) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).
fof(c_0_198,plain,
! [X395,X396,X397,X398,X399,X400] :
( ~ midp(X399,X395,X396)
| ~ midp(X400,X397,X398)
| eqratio(X399,X395,X395,X396,X400,X397,X397,X398) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).
cnf(c_0_199,negated_conjecture,
perp(esk24_0,esk23_0,esk24_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_188,c_0_189])]) ).
cnf(c_0_200,negated_conjecture,
midp(esk23_0,esk24_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_107])]) ).
cnf(c_0_201,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_202,negated_conjecture,
para(esk26_0,esk26_0,esk26_0,esk26_0),
inference(spm,[status(thm)],[c_0_192,c_0_185]) ).
cnf(c_0_203,negated_conjecture,
perp(esk26_0,esk21_0,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_40,c_0_193]) ).
cnf(c_0_204,negated_conjecture,
midp(esk21_0,esk23_0,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_194]),c_0_195])]) ).
cnf(c_0_205,negated_conjecture,
( coll(X1,esk23_0,esk23_0)
| ~ coll(esk23_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_121]) ).
cnf(c_0_206,negated_conjecture,
coll(esk23_0,esk22_0,esk26_0),
inference(spm,[status(thm)],[c_0_72,c_0_196]) ).
cnf(c_0_207,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_197]) ).
cnf(c_0_208,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_198]) ).
cnf(c_0_209,negated_conjecture,
cong(esk24_0,esk24_0,esk24_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_199]),c_0_200])]) ).
cnf(c_0_210,negated_conjecture,
coll(esk24_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_91,c_0_85]) ).
cnf(c_0_211,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_212,negated_conjecture,
cong(esk26_0,esk23_0,esk26_0,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_203]),c_0_204])]) ).
cnf(c_0_213,negated_conjecture,
coll(esk26_0,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_214,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_207,c_0_208]) ).
cnf(c_0_215,negated_conjecture,
midp(esk24_0,esk24_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_209]),c_0_210])]) ).
cnf(c_0_216,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_211]),c_0_211])]) ).
cnf(c_0_217,negated_conjecture,
midp(esk26_0,esk23_0,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_212]),c_0_213])]) ).
cnf(c_0_218,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_53,c_0_211]) ).
cnf(c_0_219,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_214,c_0_209]),c_0_215])]) ).
cnf(c_0_220,negated_conjecture,
midp(esk26_0,X1,X1),
inference(spm,[status(thm)],[c_0_216,c_0_217]) ).
cnf(c_0_221,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_64,c_0_218]) ).
fof(c_0_222,plain,
! [X409,X410,X411,X412,X413,X414,X415,X416] :
( ~ eqangle(X409,X410,X411,X412,X413,X414,X415,X416)
| ~ para(X413,X414,X415,X416)
| para(X409,X410,X411,X412) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
cnf(c_0_223,negated_conjecture,
cong(esk26_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_219,c_0_220]) ).
cnf(c_0_224,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_72,c_0_221]) ).
fof(c_0_225,plain,
! [X283,X284,X285,X286,X287] :
( ~ midp(X286,X283,X284)
| ~ para(X286,X287,X284,X285)
| ~ coll(X287,X283,X285)
| midp(X287,X283,X285) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_226,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_222]) ).
cnf(c_0_227,negated_conjecture,
cong(X1,X1,esk26_0,X1),
inference(spm,[status(thm)],[c_0_81,c_0_223]) ).
cnf(c_0_228,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_224]),c_0_224])]) ).
cnf(c_0_229,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_225]) ).
cnf(c_0_230,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_226,c_0_119]) ).
cnf(c_0_231,negated_conjecture,
cong(X1,X1,X1,esk26_0),
inference(spm,[status(thm)],[c_0_75,c_0_227]) ).
cnf(c_0_232,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_228])]) ).
cnf(c_0_233,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_229,c_0_228])]) ).
cnf(c_0_234,negated_conjecture,
para(X1,X1,X1,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_211])]) ).
cnf(c_0_235,negated_conjecture,
midp(X1,X1,esk26_0),
inference(spm,[status(thm)],[c_0_232,c_0_231]) ).
cnf(c_0_236,negated_conjecture,
( midp(X1,X2,esk26_0)
| ~ midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_237,negated_conjecture,
midp(X1,esk26_0,X1),
inference(spm,[status(thm)],[c_0_59,c_0_235]) ).
cnf(c_0_238,negated_conjecture,
midp(X1,esk26_0,esk26_0),
inference(spm,[status(thm)],[c_0_236,c_0_237]) ).
fof(c_0_239,plain,
! [X29,X30,X31,X32] :
( ~ para(X29,X30,X31,X32)
| para(X29,X30,X32,X31) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_240,plain,
( para(esk6_6(X1,X2,X3,X4,X5,X6),X5,X2,X4)
| ~ midp(X5,X1,X2)
| ~ midp(X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_152]) ).
cnf(c_0_241,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_233,c_0_211]) ).
cnf(c_0_242,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_216,c_0_238]) ).
cnf(c_0_243,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_239]) ).
cnf(c_0_244,plain,
( midp(X1,X2,X3)
| ~ midp(esk6_6(X4,X5,X6,X3,X1,X7),X2,X5)
| ~ midp(X7,X6,X3)
| ~ midp(X1,X4,X5)
| ~ coll(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_229,c_0_240]) ).
cnf(c_0_245,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_241,c_0_242]) ).
cnf(c_0_246,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_243,c_0_211]) ).
cnf(c_0_247,plain,
( midp(X1,X2,X3)
| ~ midp(esk6_6(X4,X5,X6,X3,X1,X7),X2,X5)
| ~ midp(X7,X6,X3)
| ~ midp(X1,X4,X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_244,c_0_228])]) ).
cnf(c_0_248,negated_conjecture,
midp(X1,X2,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_236,c_0_245])]) ).
cnf(c_0_249,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_233,c_0_246]) ).
cnf(c_0_250,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X4,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_248])]) ).
cnf(c_0_251,negated_conjecture,
midp(esk26_0,X1,X2),
inference(spm,[status(thm)],[c_0_249,c_0_248]) ).
cnf(c_0_252,negated_conjecture,
midp(X1,X2,X3),
inference(spm,[status(thm)],[c_0_250,c_0_251]) ).
cnf(c_0_253,negated_conjecture,
cong(X1,X2,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_219,c_0_252])]) ).
cnf(c_0_254,negated_conjecture,
cong(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_75,c_0_253]) ).
cnf(c_0_255,negated_conjecture,
~ perp(esk25_0,esk24_0,esk24_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_256,plain,
perp(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_254]),c_0_254])]) ).
cnf(c_0_257,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_255,c_0_256])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO607+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 21:02:05 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.46/0.58 start to proof: theBenchmark
% 0.55/0.81 % Version : CSE_E---1.5
% 0.55/0.81 % Problem : theBenchmark.p
% 0.55/0.81 % Proof found
% 0.55/0.81 % SZS status Theorem for theBenchmark.p
% 0.55/0.81 % SZS output start Proof
% See solution above
% 0.55/0.83 % Total time : 0.222000 s
% 0.55/0.83 % SZS output end Proof
% 0.55/0.83 % Total time : 0.227000 s
%------------------------------------------------------------------------------