TSTP Solution File: GEO642+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO642+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 : n015.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 22:48:59 EDT 2023
% Result : Theorem 0.20s 0.78s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 78
% Syntax : Number of formulae : 320 ( 129 unt; 48 typ; 0 def)
% Number of atoms : 523 ( 0 equ)
% Maximal formula atoms : 14 ( 1 avg)
% Number of connectives : 418 ( 167 ~; 164 |; 56 &)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 3 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 : 37 ( 37 usr; 17 con; 0-6 aty)
% Number of variables : 645 ( 44 sgn; 308 !; 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 ).
tff(decl_59,type,
esk27_0: $i ).
tff(decl_60,type,
esk28_0: $i ).
tff(decl_61,type,
esk29_0: $i ).
tff(decl_62,type,
esk30_0: $i ).
tff(decl_63,type,
esk31_0: $i ).
tff(decl_64,type,
esk32_0: $i ).
tff(decl_65,type,
esk33_0: $i ).
tff(decl_66,type,
esk34_0: $i ).
tff(decl_67,type,
esk35_0: $i ).
tff(decl_68,type,
esk36_0: $i ).
tff(decl_69,type,
esk37_0: $i ).
fof(exemplo6GDDFULL81109108,conjecture,
! [X1,X2,X8,X3,X9,X4,X13,X5,X6,X19,X20,X21,X22,X23,X24,X25,X26] :
( ( midp(X8,X2,X1)
& circle(X8,X1,X19,X20)
& circle(X8,X1,X3,X21)
& circle(X8,X1,X9,X22)
& circle(X3,X2,X23,X24)
& circle(X8,X1,X4,X25)
& circle(X3,X2,X4,X26)
& coll(X13,X2,X9)
& coll(X13,X1,X4)
& coll(X5,X1,X3)
& coll(X5,X2,X9)
& coll(X6,X1,X4)
& coll(X6,X3,X9) )
=> perp(X5,X6,X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL81109108) ).
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(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(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(ruleD69,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
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(ruleX11,axiom,
! [X1,X2,X3,X8] :
? [X9] :
( circle(X8,X1,X2,X3)
=> perp(X9,X1,X1,X8) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
fof(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(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(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(ruleD25,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( cong(X1,X2,X3,X4)
& cong(X3,X4,X5,X6) )
=> cong(X1,X2,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
fof(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(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(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(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(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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD70) ).
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(ruleD6,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( para(X1,X2,X3,X4)
& para(X3,X4,X5,X6) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
fof(ruleD63,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& midp(X7,X3,X4) )
=> para(X1,X3,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
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(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(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(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(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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(ruleD45,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& para(X5,X6,X2,X3)
& coll(X6,X1,X3) )
=> midp(X6,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(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(c_0_30,negated_conjecture,
~ ! [X1,X2,X8,X3,X9,X4,X13,X5,X6,X19,X20,X21,X22,X23,X24,X25,X26] :
( ( midp(X8,X2,X1)
& circle(X8,X1,X19,X20)
& circle(X8,X1,X3,X21)
& circle(X8,X1,X9,X22)
& circle(X3,X2,X23,X24)
& circle(X8,X1,X4,X25)
& circle(X3,X2,X4,X26)
& coll(X13,X2,X9)
& coll(X13,X1,X4)
& coll(X5,X1,X3)
& coll(X5,X2,X9)
& coll(X6,X1,X4)
& coll(X6,X3,X9) )
=> perp(X5,X6,X1,X4) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL81109108]) ).
fof(c_0_31,plain,
! [X27,X28,X29] :
( ~ coll(X27,X28,X29)
| coll(X27,X29,X28) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
fof(c_0_32,negated_conjecture,
( midp(esk23_0,esk22_0,esk21_0)
& circle(esk23_0,esk21_0,esk30_0,esk31_0)
& circle(esk23_0,esk21_0,esk24_0,esk32_0)
& circle(esk23_0,esk21_0,esk25_0,esk33_0)
& circle(esk24_0,esk22_0,esk34_0,esk35_0)
& circle(esk23_0,esk21_0,esk26_0,esk36_0)
& circle(esk24_0,esk22_0,esk26_0,esk37_0)
& coll(esk27_0,esk22_0,esk25_0)
& coll(esk27_0,esk21_0,esk26_0)
& coll(esk28_0,esk21_0,esk24_0)
& coll(esk28_0,esk22_0,esk25_0)
& coll(esk29_0,esk21_0,esk26_0)
& coll(esk29_0,esk24_0,esk25_0)
& ~ perp(esk28_0,esk29_0,esk21_0,esk26_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])]) ).
fof(c_0_33,plain,
! [X33,X34,X35,X36] :
( ~ coll(X33,X34,X35)
| ~ coll(X33,X34,X36)
| coll(X35,X36,X33) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_34,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_35,negated_conjecture,
coll(esk28_0,esk21_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_36,plain,
! [X30,X31,X32] :
( ~ coll(X30,X31,X32)
| coll(X31,X30,X32) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_37,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_38,negated_conjecture,
coll(esk28_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,negated_conjecture,
coll(esk29_0,esk21_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_41,negated_conjecture,
( coll(X1,esk21_0,esk28_0)
| ~ coll(esk28_0,esk24_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,negated_conjecture,
coll(esk29_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_34,c_0_39]) ).
cnf(c_0_43,negated_conjecture,
coll(esk21_0,esk28_0,esk24_0),
inference(spm,[status(thm)],[c_0_40,c_0_35]) ).
cnf(c_0_44,negated_conjecture,
coll(esk21_0,esk21_0,esk28_0),
inference(spm,[status(thm)],[c_0_41,c_0_38]) ).
cnf(c_0_45,negated_conjecture,
( coll(X1,esk21_0,esk29_0)
| ~ coll(esk29_0,esk26_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_42]) ).
cnf(c_0_46,negated_conjecture,
( coll(X1,esk24_0,esk21_0)
| ~ coll(esk21_0,esk28_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_43]) ).
cnf(c_0_47,negated_conjecture,
coll(esk21_0,esk28_0,esk21_0),
inference(spm,[status(thm)],[c_0_34,c_0_44]) ).
cnf(c_0_48,negated_conjecture,
coll(esk29_0,esk24_0,esk25_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_49,negated_conjecture,
coll(esk21_0,esk21_0,esk29_0),
inference(spm,[status(thm)],[c_0_45,c_0_42]) ).
cnf(c_0_50,negated_conjecture,
coll(esk21_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_51,negated_conjecture,
coll(esk24_0,esk29_0,esk25_0),
inference(spm,[status(thm)],[c_0_40,c_0_48]) ).
cnf(c_0_52,negated_conjecture,
( coll(X1,esk29_0,esk21_0)
| ~ coll(esk21_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_49]) ).
cnf(c_0_53,negated_conjecture,
coll(esk21_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_34,c_0_50]) ).
fof(c_0_54,plain,
! [X400,X401,X402] :
( ~ midp(X400,X401,X402)
| coll(X400,X401,X402) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).
cnf(c_0_55,negated_conjecture,
( coll(X1,esk25_0,esk24_0)
| ~ coll(esk24_0,esk29_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_51]) ).
cnf(c_0_56,negated_conjecture,
coll(esk24_0,esk29_0,esk21_0),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_57,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_58,negated_conjecture,
midp(esk23_0,esk22_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_59,negated_conjecture,
coll(esk21_0,esk24_0,esk28_0),
inference(spm,[status(thm)],[c_0_34,c_0_43]) ).
cnf(c_0_60,negated_conjecture,
coll(esk21_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
fof(c_0_61,plain,
! [X59,X60,X61,X62,X63,X64] :
( ~ perp(X59,X60,X61,X62)
| ~ perp(X61,X62,X63,X64)
| para(X59,X60,X63,X64) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_62,plain,
! [X501,X502,X503,X504] :
( ~ circle(X504,X501,X502,X503)
| perp(esk12_4(X501,X502,X503,X504),X501,X501,X504) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
fof(c_0_63,plain,
! [X55,X56,X57,X58] :
( ~ perp(X55,X56,X57,X58)
| perp(X57,X58,X55,X56) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
cnf(c_0_64,negated_conjecture,
coll(esk23_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_65,negated_conjecture,
coll(esk28_0,esk22_0,esk25_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_66,negated_conjecture,
( coll(X1,esk28_0,esk21_0)
| ~ coll(esk21_0,esk24_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_59]) ).
cnf(c_0_67,negated_conjecture,
coll(esk21_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_34,c_0_60]) ).
cnf(c_0_68,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_69,plain,
( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_70,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
fof(c_0_71,plain,
! [X397,X398,X399] :
( ~ midp(X397,X398,X399)
| cong(X397,X398,X397,X399) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_72,negated_conjecture,
coll(esk22_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_40,c_0_64]) ).
cnf(c_0_73,negated_conjecture,
coll(esk28_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_34,c_0_65]) ).
cnf(c_0_74,negated_conjecture,
coll(esk25_0,esk28_0,esk21_0),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
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_68,c_0_69]) ).
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_70,c_0_69]) ).
fof(c_0_77,plain,
! [X144,X145,X146,X147] :
( ~ cong(X144,X145,X146,X147)
| cong(X144,X145,X147,X146) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_78,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_79,negated_conjecture,
coll(esk22_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_34,c_0_72]) ).
cnf(c_0_80,negated_conjecture,
( coll(X1,esk22_0,esk28_0)
| ~ coll(esk28_0,esk25_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_73]) ).
cnf(c_0_81,negated_conjecture,
coll(esk28_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_40,c_0_74]) ).
fof(c_0_82,plain,
! [X37,X38,X39,X40] :
( ~ para(X37,X38,X39,X40)
| para(X37,X38,X40,X39) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_83,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_84,negated_conjecture,
circle(esk23_0,esk21_0,esk30_0,esk31_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_85,plain,
! [X152,X153,X154,X155,X156,X157] :
( ~ cong(X152,X153,X154,X155)
| ~ cong(X154,X155,X156,X157)
| cong(X152,X153,X156,X157) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).
fof(c_0_86,plain,
! [X148,X149,X150,X151] :
( ~ cong(X148,X149,X150,X151)
| cong(X150,X151,X148,X149) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_87,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_88,negated_conjecture,
cong(esk23_0,esk22_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_78,c_0_58]) ).
cnf(c_0_89,negated_conjecture,
( coll(X1,esk23_0,esk22_0)
| ~ coll(esk22_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_79]) ).
cnf(c_0_90,negated_conjecture,
coll(esk21_0,esk22_0,esk28_0),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
fof(c_0_91,plain,
! [X41,X42,X43,X44] :
( ~ para(X41,X42,X43,X44)
| para(X43,X44,X41,X42) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_92,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_93,negated_conjecture,
para(esk21_0,esk23_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_94,plain,
( cong(X1,X2,X5,X6)
| ~ cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_95,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_96,negated_conjecture,
cong(esk23_0,esk22_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_97,negated_conjecture,
coll(esk23_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_89,c_0_79]) ).
cnf(c_0_98,negated_conjecture,
coll(esk22_0,esk21_0,esk28_0),
inference(spm,[status(thm)],[c_0_40,c_0_90]) ).
cnf(c_0_99,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_100,negated_conjecture,
para(esk21_0,esk23_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_101,negated_conjecture,
( cong(X1,X2,esk23_0,esk21_0)
| ~ cong(X1,X2,esk23_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_94,c_0_88]) ).
cnf(c_0_102,negated_conjecture,
cong(esk21_0,esk23_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_103,negated_conjecture,
( coll(X1,esk21_0,esk23_0)
| ~ coll(esk23_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_64]) ).
cnf(c_0_104,negated_conjecture,
coll(esk23_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_34,c_0_97]) ).
cnf(c_0_105,negated_conjecture,
coll(esk28_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_89,c_0_98]) ).
fof(c_0_106,plain,
! [X381,X382,X383,X384,X385] :
( ~ midp(X385,X381,X382)
| ~ para(X381,X383,X382,X384)
| ~ para(X381,X384,X382,X383)
| midp(X385,X383,X384) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_107,negated_conjecture,
para(esk23_0,esk21_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
fof(c_0_108,plain,
! [X394,X395,X396] :
( ~ cong(X394,X395,X394,X396)
| ~ coll(X394,X395,X396)
| midp(X394,X395,X396) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_109,negated_conjecture,
cong(esk21_0,esk23_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_110,negated_conjecture,
coll(esk23_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_111,negated_conjecture,
( coll(X1,esk25_0,esk28_0)
| ~ coll(esk28_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_65]) ).
cnf(c_0_112,negated_conjecture,
coll(esk28_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_34,c_0_105]) ).
cnf(c_0_113,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_106]) ).
cnf(c_0_114,negated_conjecture,
para(esk23_0,esk21_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_92,c_0_107]) ).
cnf(c_0_115,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_116,negated_conjecture,
cong(esk21_0,esk23_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_87,c_0_109]) ).
cnf(c_0_117,negated_conjecture,
coll(esk21_0,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_40,c_0_110]) ).
cnf(c_0_118,negated_conjecture,
coll(esk25_0,esk25_0,esk28_0),
inference(spm,[status(thm)],[c_0_111,c_0_65]) ).
cnf(c_0_119,negated_conjecture,
coll(esk23_0,esk25_0,esk28_0),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
fof(c_0_120,plain,
! [X433,X434,X435,X436,X437,X438,X439,X440] :
( ~ eqratio(X433,X434,X435,X436,X437,X438,X439,X440)
| ~ cong(X437,X438,X439,X440)
| cong(X433,X434,X435,X436) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).
fof(c_0_121,plain,
! [X403,X404,X405,X406,X407,X408] :
( ~ midp(X407,X403,X404)
| ~ midp(X408,X405,X406)
| eqratio(X407,X403,X403,X404,X408,X405,X405,X406) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).
cnf(c_0_122,negated_conjecture,
( midp(X1,esk21_0,esk21_0)
| ~ midp(X1,esk23_0,esk23_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_114])]) ).
cnf(c_0_123,negated_conjecture,
midp(esk21_0,esk23_0,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117])]) ).
cnf(c_0_124,negated_conjecture,
coll(esk25_0,esk28_0,esk25_0),
inference(spm,[status(thm)],[c_0_34,c_0_118]) ).
cnf(c_0_125,negated_conjecture,
coll(esk25_0,esk23_0,esk28_0),
inference(spm,[status(thm)],[c_0_40,c_0_119]) ).
cnf(c_0_126,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_120]) ).
cnf(c_0_127,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_121]) ).
cnf(c_0_128,negated_conjecture,
midp(esk21_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_129,negated_conjecture,
( coll(X1,esk25_0,esk25_0)
| ~ coll(esk25_0,esk28_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_124]) ).
cnf(c_0_130,negated_conjecture,
coll(esk25_0,esk28_0,esk23_0),
inference(spm,[status(thm)],[c_0_34,c_0_125]) ).
cnf(c_0_131,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_126,c_0_127]) ).
cnf(c_0_132,negated_conjecture,
cong(esk21_0,esk21_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_78,c_0_128]) ).
fof(c_0_133,plain,
! [X71,X72,X73] :
( ~ midp(X73,X72,X71)
| midp(X73,X71,X72) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_134,negated_conjecture,
( coll(X1,esk25_0,esk29_0)
| ~ coll(esk29_0,esk24_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_48]) ).
cnf(c_0_135,negated_conjecture,
coll(esk23_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
fof(c_0_136,plain,
! [X45,X46,X47,X48,X49,X50] :
( ~ para(X45,X46,X47,X48)
| ~ para(X47,X48,X49,X50)
| para(X45,X46,X49,X50) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD6])]) ).
fof(c_0_137,plain,
! [X467,X468,X469,X470,X471,X472] :
( ( midp(esk6_6(X467,X468,X469,X470,X471,X472),X467,X470)
| ~ midp(X471,X467,X468)
| ~ midp(X472,X469,X470) )
& ( para(esk6_6(X467,X468,X469,X470,X471,X472),X471,X468,X470)
| ~ midp(X471,X467,X468)
| ~ midp(X472,X469,X470) )
& ( para(esk6_6(X467,X468,X469,X470,X471,X472),X472,X467,X469)
| ~ midp(X471,X467,X468)
| ~ midp(X472,X469,X470) ) ),
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_138,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_131,c_0_132]),c_0_128])]) ).
cnf(c_0_139,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_140,negated_conjecture,
coll(esk25_0,esk25_0,esk29_0),
inference(spm,[status(thm)],[c_0_134,c_0_48]) ).
cnf(c_0_141,negated_conjecture,
coll(esk25_0,esk23_0,esk25_0),
inference(spm,[status(thm)],[c_0_40,c_0_135]) ).
cnf(c_0_142,negated_conjecture,
coll(esk28_0,esk29_0,esk21_0),
inference(spm,[status(thm)],[c_0_52,c_0_44]) ).
cnf(c_0_143,plain,
( para(X1,X2,X5,X6)
| ~ para(X1,X2,X3,X4)
| ~ para(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
cnf(c_0_144,plain,
( para(esk6_6(X1,X2,X3,X4,X5,X6),X6,X1,X3)
| ~ midp(X5,X1,X2)
| ~ midp(X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_145,negated_conjecture,
cong(esk21_0,esk23_0,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_138,c_0_123]) ).
cnf(c_0_146,negated_conjecture,
midp(esk23_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_139,c_0_58]) ).
cnf(c_0_147,negated_conjecture,
coll(esk21_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_103,c_0_64]) ).
cnf(c_0_148,negated_conjecture,
( coll(X1,esk29_0,esk25_0)
| ~ coll(esk25_0,esk25_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_140]) ).
cnf(c_0_149,negated_conjecture,
coll(esk25_0,esk25_0,esk23_0),
inference(spm,[status(thm)],[c_0_34,c_0_141]) ).
cnf(c_0_150,negated_conjecture,
( coll(X1,esk24_0,esk28_0)
| ~ coll(esk28_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_35]) ).
cnf(c_0_151,negated_conjecture,
coll(esk28_0,esk21_0,esk29_0),
inference(spm,[status(thm)],[c_0_34,c_0_142]) ).
cnf(c_0_152,plain,
( para(X1,X2,X3,X4)
| ~ midp(X5,X4,X6)
| ~ midp(X7,X3,X8)
| ~ para(X1,X2,esk6_6(X3,X8,X4,X6,X7,X5),X5) ),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_153,plain,
( para(X1,X2,esk6_6(X1,X3,X2,X4,X5,X6),X6)
| ~ midp(X6,X2,X4)
| ~ midp(X5,X1,X3) ),
inference(spm,[status(thm)],[c_0_99,c_0_144]) ).
cnf(c_0_154,negated_conjecture,
cong(esk23_0,esk23_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_95,c_0_145]) ).
cnf(c_0_155,negated_conjecture,
cong(esk23_0,esk21_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_78,c_0_146]) ).
cnf(c_0_156,negated_conjecture,
coll(esk21_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_34,c_0_147]) ).
cnf(c_0_157,negated_conjecture,
coll(esk23_0,esk29_0,esk25_0),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_158,negated_conjecture,
coll(esk29_0,esk24_0,esk28_0),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_159,plain,
( para(X1,X2,X1,X2)
| ~ midp(X3,X2,X4)
| ~ midp(X5,X1,X6) ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_160,negated_conjecture,
cong(esk23_0,esk23_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_87,c_0_154]) ).
cnf(c_0_161,negated_conjecture,
coll(esk23_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_34,c_0_110]) ).
cnf(c_0_162,negated_conjecture,
( midp(X1,esk23_0,esk23_0)
| ~ midp(X1,esk21_0,esk21_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_93]),c_0_93])]) ).
cnf(c_0_163,negated_conjecture,
cong(esk23_0,esk21_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_101,c_0_155]) ).
cnf(c_0_164,negated_conjecture,
coll(esk23_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_40,c_0_156]) ).
cnf(c_0_165,negated_conjecture,
coll(esk29_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_34,c_0_48]) ).
cnf(c_0_166,negated_conjecture,
coll(esk29_0,esk23_0,esk25_0),
inference(spm,[status(thm)],[c_0_40,c_0_157]) ).
cnf(c_0_167,negated_conjecture,
coll(esk24_0,esk29_0,esk28_0),
inference(spm,[status(thm)],[c_0_40,c_0_158]) ).
cnf(c_0_168,negated_conjecture,
circle(esk24_0,esk22_0,esk34_0,esk35_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_169,negated_conjecture,
( para(X1,esk22_0,X1,esk22_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_159,c_0_58]) ).
cnf(c_0_170,negated_conjecture,
midp(esk23_0,esk23_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_160]),c_0_161])]) ).
cnf(c_0_171,negated_conjecture,
( cong(X1,esk23_0,X1,esk23_0)
| ~ midp(X1,esk21_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_78,c_0_162]) ).
cnf(c_0_172,negated_conjecture,
midp(esk23_0,esk21_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_163]),c_0_164])]) ).
cnf(c_0_173,negated_conjecture,
( coll(X1,esk23_0,esk23_0)
| ~ coll(esk23_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_104]) ).
cnf(c_0_174,negated_conjecture,
( coll(X1,esk24_0,esk29_0)
| ~ coll(esk29_0,esk25_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_165]) ).
cnf(c_0_175,negated_conjecture,
coll(esk29_0,esk25_0,esk23_0),
inference(spm,[status(thm)],[c_0_34,c_0_166]) ).
cnf(c_0_176,negated_conjecture,
coll(esk28_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_55,c_0_167]) ).
cnf(c_0_177,negated_conjecture,
para(esk22_0,esk24_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_83,c_0_168]) ).
cnf(c_0_178,negated_conjecture,
para(esk23_0,esk22_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_179,negated_conjecture,
cong(esk23_0,esk23_0,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_180,negated_conjecture,
coll(esk23_0,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_173,c_0_104]) ).
cnf(c_0_181,negated_conjecture,
coll(esk24_0,esk24_0,esk29_0),
inference(spm,[status(thm)],[c_0_174,c_0_165]) ).
cnf(c_0_182,negated_conjecture,
coll(esk23_0,esk24_0,esk29_0),
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_183,negated_conjecture,
coll(esk24_0,esk28_0,esk21_0),
inference(spm,[status(thm)],[c_0_40,c_0_38]) ).
cnf(c_0_184,negated_conjecture,
coll(esk24_0,esk22_0,esk28_0),
inference(spm,[status(thm)],[c_0_80,c_0_176]) ).
fof(c_0_185,plain,
! [X376,X377,X378,X379,X380] :
( ~ midp(X380,X376,X377)
| ~ midp(X380,X378,X379)
| para(X376,X378,X377,X379) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).
cnf(c_0_186,negated_conjecture,
( midp(X1,esk24_0,esk24_0)
| ~ midp(X1,esk22_0,esk22_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_177]),c_0_177])]) ).
cnf(c_0_187,negated_conjecture,
( midp(X1,esk22_0,esk22_0)
| ~ midp(X1,esk23_0,esk23_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_178]),c_0_178])]) ).
cnf(c_0_188,negated_conjecture,
midp(esk23_0,esk23_0,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_179]),c_0_180])]) ).
cnf(c_0_189,negated_conjecture,
coll(esk24_0,esk29_0,esk24_0),
inference(spm,[status(thm)],[c_0_34,c_0_181]) ).
cnf(c_0_190,negated_conjecture,
coll(esk24_0,esk23_0,esk29_0),
inference(spm,[status(thm)],[c_0_40,c_0_182]) ).
cnf(c_0_191,negated_conjecture,
( coll(X1,esk21_0,esk24_0)
| ~ coll(esk24_0,esk28_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_183]) ).
cnf(c_0_192,negated_conjecture,
coll(esk24_0,esk28_0,esk22_0),
inference(spm,[status(thm)],[c_0_34,c_0_184]) ).
cnf(c_0_193,plain,
( para(X2,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_185]) ).
cnf(c_0_194,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_137]) ).
cnf(c_0_195,negated_conjecture,
( cong(X1,esk24_0,X1,esk24_0)
| ~ midp(X1,esk22_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_78,c_0_186]) ).
cnf(c_0_196,negated_conjecture,
midp(esk23_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_197,negated_conjecture,
( coll(X1,esk24_0,esk24_0)
| ~ coll(esk24_0,esk29_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_189]) ).
cnf(c_0_198,negated_conjecture,
coll(esk24_0,esk29_0,esk23_0),
inference(spm,[status(thm)],[c_0_34,c_0_190]) ).
cnf(c_0_199,negated_conjecture,
coll(esk22_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
fof(c_0_200,plain,
! [X108,X109,X110,X111,X112,X113,X114,X115] :
( ~ eqangle(X108,X109,X110,X111,X112,X113,X114,X115)
| eqangle(X110,X111,X108,X109,X114,X115,X112,X113) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_201,plain,
! [X262,X263,X264,X265,X266,X267] :
( ~ para(X262,X263,X264,X265)
| eqangle(X262,X263,X266,X267,X264,X265,X266,X267) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
cnf(c_0_202,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_193,c_0_194]) ).
cnf(c_0_203,negated_conjecture,
cong(esk23_0,esk24_0,esk23_0,esk24_0),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_204,negated_conjecture,
coll(esk23_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_205,negated_conjecture,
coll(esk24_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_89,c_0_199]) ).
fof(c_0_206,plain,
! [X256,X257,X258,X259,X260,X261] :
( ~ eqangle(X256,X257,X260,X261,X258,X259,X260,X261)
| para(X256,X257,X258,X259) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_207,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_200]) ).
cnf(c_0_208,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_201]) ).
cnf(c_0_209,plain,
( para(X1,X1,X2,X2)
| ~ midp(X3,X4,X2)
| ~ midp(X5,X1,X6) ),
inference(spm,[status(thm)],[c_0_202,c_0_194]) ).
cnf(c_0_210,negated_conjecture,
midp(esk23_0,esk24_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_203]),c_0_204])]) ).
cnf(c_0_211,negated_conjecture,
cong(esk23_0,esk24_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_87,c_0_203]) ).
cnf(c_0_212,negated_conjecture,
coll(esk23_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_40,c_0_205]) ).
cnf(c_0_213,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_206]) ).
cnf(c_0_214,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_207,c_0_208]) ).
cnf(c_0_215,negated_conjecture,
( para(X1,X1,esk24_0,esk24_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_209,c_0_210]) ).
cnf(c_0_216,negated_conjecture,
( para(X1,esk24_0,X1,esk24_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_159,c_0_210]) ).
cnf(c_0_217,negated_conjecture,
cong(esk24_0,esk23_0,esk23_0,esk24_0),
inference(spm,[status(thm)],[c_0_95,c_0_211]) ).
cnf(c_0_218,negated_conjecture,
coll(esk23_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_34,c_0_212]) ).
cnf(c_0_219,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_213,c_0_214]) ).
cnf(c_0_220,negated_conjecture,
para(esk24_0,esk24_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_215,c_0_210]) ).
cnf(c_0_221,negated_conjecture,
para(esk23_0,esk24_0,esk23_0,esk24_0),
inference(spm,[status(thm)],[c_0_216,c_0_170]) ).
cnf(c_0_222,negated_conjecture,
cong(esk24_0,esk23_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_87,c_0_217]) ).
cnf(c_0_223,negated_conjecture,
coll(esk24_0,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_173,c_0_218]) ).
fof(c_0_224,plain,
! [X391,X392,X393] :
( ~ para(X391,X392,X391,X393)
| coll(X391,X392,X393) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_225,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_219,c_0_220]) ).
cnf(c_0_226,negated_conjecture,
( midp(X1,esk24_0,esk24_0)
| ~ midp(X1,esk23_0,esk23_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_221]),c_0_221])]) ).
cnf(c_0_227,negated_conjecture,
midp(esk24_0,esk23_0,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_222]),c_0_223])]) ).
cnf(c_0_228,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_224]) ).
cnf(c_0_229,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_225]),c_0_225])]) ).
cnf(c_0_230,negated_conjecture,
midp(esk24_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_226,c_0_227]) ).
cnf(c_0_231,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_228,c_0_225]) ).
cnf(c_0_232,negated_conjecture,
midp(esk24_0,X1,X1),
inference(spm,[status(thm)],[c_0_229,c_0_230]) ).
cnf(c_0_233,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_40,c_0_231]) ).
fof(c_0_234,plain,
! [X417,X418,X419,X420,X421,X422,X423,X424] :
( ~ eqangle(X417,X418,X419,X420,X421,X422,X423,X424)
| ~ para(X421,X422,X423,X424)
| para(X417,X418,X419,X420) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_235,plain,
! [X296,X297,X298] :
( ~ cong(X298,X296,X298,X297)
| eqangle(X298,X296,X296,X297,X296,X297,X298,X297) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_236,negated_conjecture,
cong(esk24_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_138,c_0_232]) ).
cnf(c_0_237,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_34,c_0_233]) ).
fof(c_0_238,plain,
! [X291,X292,X293,X294,X295] :
( ~ midp(X294,X291,X292)
| ~ para(X294,X295,X292,X293)
| ~ coll(X295,X291,X293)
| midp(X295,X291,X293) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_239,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_234]) ).
cnf(c_0_240,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_235]) ).
cnf(c_0_241,negated_conjecture,
cong(X1,X1,esk24_0,X1),
inference(spm,[status(thm)],[c_0_95,c_0_236]) ).
cnf(c_0_242,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_237]),c_0_237])]) ).
cnf(c_0_243,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_238]) ).
cnf(c_0_244,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_245,negated_conjecture,
cong(X1,X1,X1,esk24_0),
inference(spm,[status(thm)],[c_0_87,c_0_241]) ).
cnf(c_0_246,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_242])]) ).
cnf(c_0_247,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_243,c_0_242])]) ).
cnf(c_0_248,negated_conjecture,
para(X1,X1,X1,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_225])]) ).
cnf(c_0_249,negated_conjecture,
midp(X1,X1,esk24_0),
inference(spm,[status(thm)],[c_0_246,c_0_245]) ).
cnf(c_0_250,negated_conjecture,
( midp(X1,X2,esk24_0)
| ~ midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_251,negated_conjecture,
midp(X1,esk24_0,X1),
inference(spm,[status(thm)],[c_0_139,c_0_249]) ).
cnf(c_0_252,negated_conjecture,
midp(X1,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_250,c_0_251]) ).
cnf(c_0_253,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_137]) ).
cnf(c_0_254,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_247,c_0_225]) ).
cnf(c_0_255,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_229,c_0_252]) ).
cnf(c_0_256,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_243,c_0_253]) ).
cnf(c_0_257,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_254,c_0_255]) ).
cnf(c_0_258,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_92,c_0_225]) ).
cnf(c_0_259,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_256,c_0_242])]) ).
cnf(c_0_260,negated_conjecture,
midp(X1,X2,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_250,c_0_257])]) ).
cnf(c_0_261,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_247,c_0_258]) ).
cnf(c_0_262,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X4,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_260]),c_0_260])]) ).
cnf(c_0_263,negated_conjecture,
midp(esk24_0,X1,X2),
inference(spm,[status(thm)],[c_0_261,c_0_260]) ).
cnf(c_0_264,negated_conjecture,
midp(X1,X2,X3),
inference(spm,[status(thm)],[c_0_262,c_0_263]) ).
fof(c_0_265,plain,
! [X338,X339,X340,X341] :
( ~ cong(X338,X340,X339,X340)
| ~ cong(X338,X341,X339,X341)
| perp(X338,X339,X340,X341) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).
cnf(c_0_266,negated_conjecture,
cong(X1,X2,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_264])]) ).
cnf(c_0_267,plain,
( perp(X1,X3,X2,X4)
| ~ cong(X1,X2,X3,X2)
| ~ cong(X1,X4,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_265]) ).
cnf(c_0_268,negated_conjecture,
cong(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_87,c_0_266]) ).
cnf(c_0_269,negated_conjecture,
~ perp(esk28_0,esk29_0,esk21_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_270,plain,
perp(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_267,c_0_268]),c_0_268])]) ).
cnf(c_0_271,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_269,c_0_270])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO642+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n015.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 : Wed Aug 30 00:27:57 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.54 start to proof: theBenchmark
% 0.20/0.78 % Version : CSE_E---1.5
% 0.20/0.78 % Problem : theBenchmark.p
% 0.20/0.78 % Proof found
% 0.20/0.78 % SZS status Theorem for theBenchmark.p
% 0.20/0.78 % SZS output start Proof
% See solution above
% 0.20/0.79 % Total time : 0.224000 s
% 0.20/0.79 % SZS output end Proof
% 0.20/0.79 % Total time : 0.228000 s
%------------------------------------------------------------------------------