%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO581+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:28:31 PM UTC 2026
% Result : Theorem 2.01s 0.72s
% Output : CNFRefutation 2.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 29
% Syntax : Number of formulae : 212 ( 88 unt; 0 def)
% Number of atoms : 413 ( 0 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 342 ( 141 ~; 138 |; 33 &)
% ( 0 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-6 aty)
% Number of variables : 613 ( 57 sgn 306 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL416043,conjecture,
! [X1,X2,X3,X6,X5,X9] :
( ( coll(X9,X1,X6)
& coll(X9,X2,X5)
& cong(X1,X5,X5,X6)
& eqangle(X2,X1,X1,X5,X1,X5,X5,X6)
& perp(X3,X1,X3,X2) )
=> eqangle(X1,X3,X3,X9,X9,X3,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416043) ).
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(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X4)
& coll(X1,X2,X3) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
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(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(ruleD25,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( cong(X3,X4,X5,X6)
& cong(X1,X2,X3,X4) )
=> cong(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
fof(ruleD56,axiom,
! [X1,X2,X9,X10] :
( ( cong(X1,X10,X2,X10)
& cong(X1,X9,X2,X9) )
=> perp(X1,X2,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(ruleD67,axiom,
! [X1,X2,X3] :
( ( coll(X1,X2,X3)
& cong(X1,X2,X1,X3) )
=> midp(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(ruleD55,axiom,
! [X1,X2,X7,X8] :
( ( perp(X8,X7,X1,X2)
& midp(X7,X1,X2) )
=> cong(X8,X1,X8,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
fof(ruleD63,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X3,X4)
& midp(X7,X1,X2) )
=> 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(X17,X3,X4)
& midp(X7,X1,X2) )
=> ( para(X9,X17,X1,X3)
& para(X9,X7,X2,X4)
& midp(X9,X1,X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
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(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] :
( ( para(X1,X4,X2,X3)
& para(X1,X3,X2,X4)
& midp(X7,X1,X2) )
=> midp(X7,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
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(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(ruleD75,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( cong(X9,X10,X11,X12)
& eqratio(X1,X2,X3,X4,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(X17,X3,X4)
& midp(X7,X1,X2) )
=> eqratio(X7,X1,X1,X2,X17,X3,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD70) ).
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(ruleD73,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( para(X9,X10,X11,X12)
& eqangle(X1,X2,X3,X4,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(ruleD45,axiom,
! [X1,X2,X3,X5,X6] :
( ( coll(X6,X1,X3)
& para(X5,X6,X2,X3)
& midp(X5,X1,X2) )
=> midp(X6,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(ruleD44,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X6,X1,X3)
& midp(X5,X1,X2) )
=> para(X5,X6,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(ruleD20,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X9,X10,X11,X12,X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
fof(ruleD21,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X1,X2,X9,X10,X3,X4,X11,X12) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(ruleD22,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12,X5,X6,X13,X14] :
( ( eqangle(X9,X10,X11,X12,X5,X6,X13,X14)
& eqangle(X1,X2,X3,X4,X9,X10,X11,X12) )
=> eqangle(X1,X2,X3,X4,X5,X6,X13,X14) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(c_0_29,negated_conjecture,
~ ! [X1,X2,X3,X6,X5,X9] :
( ( coll(X9,X1,X6)
& coll(X9,X2,X5)
& cong(X1,X5,X5,X6)
& eqangle(X2,X1,X1,X5,X1,X5,X5,X6)
& perp(X3,X1,X3,X2) )
=> eqangle(X1,X3,X3,X9,X9,X3,X3,X2) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL416043]) ).
fof(c_0_30,plain,
! [X22,X23,X24] :
( coll(X23,X22,X24)
| ~ coll(X22,X23,X24) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])])]) ).
fof(c_0_31,negated_conjecture,
( ~ eqangle(esk21_0,esk23_0,esk23_0,esk26_0,esk26_0,esk23_0,esk23_0,esk22_0)
& coll(esk26_0,esk21_0,esk24_0)
& coll(esk26_0,esk22_0,esk25_0)
& cong(esk21_0,esk25_0,esk25_0,esk24_0)
& eqangle(esk22_0,esk21_0,esk21_0,esk25_0,esk21_0,esk25_0,esk25_0,esk24_0)
& perp(esk23_0,esk21_0,esk23_0,esk22_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])]) ).
fof(c_0_32,plain,
! [X19,X20,X21] :
( coll(X19,X21,X20)
| ~ coll(X19,X20,X21) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])])]) ).
cnf(c_0_33,plain,
( ~ coll(X1,X2,X3)
| coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_34,negated_conjecture,
coll(esk26_0,esk22_0,esk25_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_35,plain,
( ~ coll(X1,X2,X3)
| coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_36,negated_conjecture,
coll(esk22_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
fof(c_0_37,plain,
! [X25,X26,X27,X28] :
( coll(X27,X28,X25)
| ~ coll(X25,X26,X28)
| ~ coll(X25,X26,X27) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])])]) ).
cnf(c_0_38,negated_conjecture,
coll(esk22_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_39,negated_conjecture,
coll(esk26_0,esk21_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_40,plain,
( ~ coll(X1,X2,X4)
| ~ coll(X1,X2,X3)
| coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_41,negated_conjecture,
coll(esk25_0,esk22_0,esk26_0),
inference(spm,[status(thm)],[c_0_33,c_0_38]) ).
cnf(c_0_42,negated_conjecture,
coll(esk21_0,esk26_0,esk24_0),
inference(spm,[status(thm)],[c_0_33,c_0_39]) ).
cnf(c_0_43,negated_conjecture,
( ~ coll(esk25_0,esk22_0,X1)
| coll(X1,esk26_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_44,negated_conjecture,
coll(esk21_0,esk24_0,esk26_0),
inference(spm,[status(thm)],[c_0_35,c_0_42]) ).
cnf(c_0_45,negated_conjecture,
coll(esk26_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_43,c_0_41]) ).
cnf(c_0_46,negated_conjecture,
( ~ coll(esk21_0,esk24_0,X1)
| coll(X1,esk26_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_44]) ).
fof(c_0_47,plain,
! [X136,X137,X138,X139] :
( cong(X136,X137,X139,X138)
| ~ cong(X136,X137,X138,X139) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])])]) ).
fof(c_0_48,plain,
! [X140,X141,X142,X143] :
( cong(X142,X143,X140,X141)
| ~ cong(X140,X141,X142,X143) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])])]) ).
cnf(c_0_49,negated_conjecture,
( ~ coll(esk26_0,esk22_0,X1)
| coll(X1,esk25_0,esk26_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_34]) ).
cnf(c_0_50,negated_conjecture,
( ~ coll(esk26_0,esk26_0,X1)
| coll(X1,esk25_0,esk26_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_45]) ).
cnf(c_0_51,negated_conjecture,
coll(esk26_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_46,c_0_44]) ).
cnf(c_0_52,plain,
( ~ cong(X1,X2,X3,X4)
| cong(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_53,negated_conjecture,
cong(esk21_0,esk25_0,esk25_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_54,plain,
! [X144,X145,X146,X147,X148,X149] :
( cong(X144,X145,X148,X149)
| ~ cong(X146,X147,X148,X149)
| ~ cong(X144,X145,X146,X147) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])])]) ).
cnf(c_0_55,plain,
( ~ cong(X1,X2,X3,X4)
| cong(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_56,negated_conjecture,
coll(esk25_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_49,c_0_34]) ).
cnf(c_0_57,negated_conjecture,
coll(esk21_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_58,plain,
! [X330,X331,X332,X333] :
( perp(X330,X331,X332,X333)
| ~ cong(X330,X333,X331,X333)
| ~ cong(X330,X332,X331,X332) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])])]) ).
cnf(c_0_59,negated_conjecture,
cong(esk21_0,esk25_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_60,plain,
( ~ cong(X3,X4,X5,X6)
| ~ cong(X1,X2,X3,X4)
| cong(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_61,negated_conjecture,
cong(esk25_0,esk24_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_55,c_0_53]) ).
cnf(c_0_62,negated_conjecture,
coll(esk25_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_35,c_0_56]) ).
cnf(c_0_63,negated_conjecture,
coll(esk25_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_33,c_0_57]) ).
cnf(c_0_64,plain,
( ~ cong(X1,X4,X3,X4)
| ~ cong(X1,X2,X3,X2)
| perp(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_65,negated_conjecture,
cong(esk24_0,esk25_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_55,c_0_59]) ).
fof(c_0_66,plain,
! [X386,X387,X388] :
( midp(X386,X387,X388)
| ~ coll(X386,X387,X388)
| ~ cong(X386,X387,X386,X388) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])])]) ).
cnf(c_0_67,negated_conjecture,
( ~ cong(X1,X2,esk25_0,esk24_0)
| cong(X1,X2,esk21_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_68,negated_conjecture,
( ~ coll(esk25_0,esk26_0,X1)
| coll(X1,esk25_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_62]) ).
cnf(c_0_69,negated_conjecture,
coll(esk25_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_35,c_0_63]) ).
cnf(c_0_70,negated_conjecture,
( ~ coll(esk26_0,esk21_0,X1)
| coll(X1,esk24_0,esk26_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_39]) ).
cnf(c_0_71,negated_conjecture,
coll(esk26_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_35,c_0_51]) ).
fof(c_0_72,plain,
! [X326,X327,X328,X329] :
( cong(X329,X326,X329,X327)
| ~ perp(X329,X328,X326,X327)
| ~ midp(X328,X326,X327) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD55])])]) ).
cnf(c_0_73,negated_conjecture,
( ~ cong(esk24_0,X1,esk21_0,X1)
| perp(esk24_0,esk21_0,X1,esk25_0) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_74,plain,
( ~ coll(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_75,negated_conjecture,
cong(esk21_0,esk25_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_67,c_0_53]) ).
cnf(c_0_76,negated_conjecture,
coll(esk21_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_77,negated_conjecture,
coll(esk26_0,esk24_0,esk26_0),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_78,plain,
( ~ perp(X4,X1,X2,X3)
| ~ midp(X1,X2,X3)
| cong(X4,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_79,negated_conjecture,
perp(esk24_0,esk21_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_73,c_0_65]) ).
cnf(c_0_80,negated_conjecture,
midp(esk21_0,esk25_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76])]) ).
cnf(c_0_81,negated_conjecture,
coll(esk26_0,esk26_0,esk24_0),
inference(spm,[status(thm)],[c_0_35,c_0_77]) ).
cnf(c_0_82,negated_conjecture,
cong(esk24_0,esk25_0,esk24_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80])]) ).
cnf(c_0_83,negated_conjecture,
coll(esk24_0,esk24_0,esk26_0),
inference(spm,[status(thm)],[c_0_70,c_0_39]) ).
cnf(c_0_84,negated_conjecture,
coll(esk24_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_50,c_0_81]) ).
fof(c_0_85,plain,
! [X368,X369,X370,X371,X372] :
( para(X368,X370,X369,X371)
| ~ midp(X372,X370,X371)
| ~ midp(X372,X368,X369) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])])]) ).
fof(c_0_86,plain,
! [X459,X460,X461,X462,X463,X464] :
( ( ~ midp(X464,X461,X462)
| ~ midp(X463,X459,X460)
| para(esk6_6(X459,X460,X461,X462,X463,X464),X464,X459,X461) )
& ( ~ midp(X464,X461,X462)
| ~ midp(X463,X459,X460)
| para(esk6_6(X459,X460,X461,X462,X463,X464),X463,X460,X462) )
& ( ~ midp(X464,X461,X462)
| ~ midp(X463,X459,X460)
| midp(esk6_6(X459,X460,X461,X462,X463,X464),X459,X462) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX6])])])])])]) ).
fof(c_0_87,plain,
! [X63,X64,X65] :
( midp(X65,X63,X64)
| ~ midp(X65,X64,X63) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])])]) ).
cnf(c_0_88,negated_conjecture,
cong(esk24_0,esk25_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_52,c_0_82]) ).
cnf(c_0_89,negated_conjecture,
coll(esk24_0,esk26_0,esk24_0),
inference(spm,[status(thm)],[c_0_35,c_0_83]) ).
cnf(c_0_90,negated_conjecture,
coll(esk25_0,esk24_0,esk26_0),
inference(spm,[status(thm)],[c_0_33,c_0_84]) ).
cnf(c_0_91,plain,
( ~ midp(X1,X4,X5)
| ~ midp(X1,X2,X3)
| para(X2,X4,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_92,plain,
( ~ midp(X6,X3,X4)
| ~ midp(X5,X1,X2)
| midp(esk6_6(X1,X2,X3,X4,X5,X6),X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_93,plain,
( ~ midp(X1,X2,X3)
| midp(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_94,negated_conjecture,
cong(esk25_0,esk24_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_55,c_0_88]) ).
cnf(c_0_95,negated_conjecture,
( ~ coll(esk24_0,esk26_0,X1)
| coll(X1,esk24_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_89]) ).
cnf(c_0_96,negated_conjecture,
coll(esk24_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_35,c_0_84]) ).
cnf(c_0_97,negated_conjecture,
cong(esk25_0,esk24_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_52,c_0_61]) ).
cnf(c_0_98,negated_conjecture,
coll(esk25_0,esk26_0,esk24_0),
inference(spm,[status(thm)],[c_0_35,c_0_90]) ).
cnf(c_0_99,negated_conjecture,
( ~ coll(esk21_0,esk26_0,X1)
| coll(X1,esk24_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_42]) ).
cnf(c_0_100,negated_conjecture,
coll(esk21_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_35,c_0_57]) ).
cnf(c_0_101,plain,
( ~ midp(X7,X2,X5)
| ~ midp(X8,X6,X4)
| ~ midp(esk6_6(X2,X5,X6,X4,X7,X8),X1,X3)
| para(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_102,plain,
( ~ midp(X5,X1,X2)
| ~ midp(X6,X3,X4)
| midp(esk6_6(X1,X2,X3,X4,X5,X6),X4,X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_92]) ).
cnf(c_0_103,negated_conjecture,
cong(esk25_0,esk24_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_52,c_0_94]) ).
cnf(c_0_104,negated_conjecture,
coll(esk25_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_105,negated_conjecture,
( ~ coll(esk25_0,esk24_0,esk21_0)
| midp(esk25_0,esk24_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_74,c_0_97]) ).
cnf(c_0_106,negated_conjecture,
coll(esk24_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_68,c_0_98]) ).
cnf(c_0_107,negated_conjecture,
coll(esk25_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_108,negated_conjecture,
coll(esk26_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_35,c_0_39]) ).
cnf(c_0_109,plain,
( ~ midp(X5,X2,X6)
| ~ midp(X3,X4,X1)
| para(X1,X2,X2,X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_110,negated_conjecture,
midp(esk25_0,esk24_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_103]),c_0_104])]) ).
cnf(c_0_111,negated_conjecture,
( ~ coll(esk25_0,esk24_0,esk21_0)
| midp(esk25_0,esk21_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_93,c_0_105]) ).
cnf(c_0_112,negated_conjecture,
midp(esk24_0,esk25_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_82]),c_0_106])]) ).
cnf(c_0_113,negated_conjecture,
midp(esk25_0,esk24_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_107])]) ).
cnf(c_0_114,negated_conjecture,
( ~ coll(esk26_0,esk24_0,X1)
| coll(X1,esk21_0,esk26_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_108]) ).
fof(c_0_115,plain,
! [X29,X30,X31,X32] :
( para(X29,X30,X32,X31)
| ~ para(X29,X30,X31,X32) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])])]) ).
cnf(c_0_116,negated_conjecture,
( ~ midp(X2,X1,X3)
| para(esk24_0,X1,X1,esk24_0) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_117,negated_conjecture,
midp(esk25_0,esk21_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_107])]) ).
cnf(c_0_118,negated_conjecture,
( ~ midp(X2,X1,X3)
| para(esk25_0,X1,X1,esk25_0) ),
inference(spm,[status(thm)],[c_0_109,c_0_112]) ).
cnf(c_0_119,negated_conjecture,
( ~ midp(X2,X1,X3)
| para(esk21_0,X1,X1,esk21_0) ),
inference(spm,[status(thm)],[c_0_109,c_0_113]) ).
cnf(c_0_120,negated_conjecture,
coll(esk21_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_114,c_0_108]) ).
fof(c_0_121,plain,
! [X373,X374,X375,X376,X377] :
( midp(X377,X375,X376)
| ~ para(X373,X376,X374,X375)
| ~ para(X373,X375,X374,X376)
| ~ midp(X377,X373,X374) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])])]) ).
cnf(c_0_122,plain,
( ~ para(X1,X2,X3,X4)
| para(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_123,negated_conjecture,
para(esk24_0,esk21_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_124,negated_conjecture,
para(esk25_0,esk24_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_118,c_0_113]) ).
fof(c_0_125,plain,
! [X100,X101,X102,X103,X104,X105,X106,X107] :
( eqangle(X102,X103,X100,X101,X106,X107,X104,X105)
| ~ eqangle(X100,X101,X102,X103,X104,X105,X106,X107) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).
fof(c_0_126,plain,
! [X254,X255,X256,X257,X258,X259] :
( eqangle(X254,X255,X258,X259,X256,X257,X258,X259)
| ~ para(X254,X255,X256,X257) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])]) ).
cnf(c_0_127,negated_conjecture,
para(esk21_0,esk25_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_119,c_0_112]) ).
cnf(c_0_128,negated_conjecture,
cong(esk25_0,esk21_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_55,c_0_97]) ).
cnf(c_0_129,negated_conjecture,
coll(esk21_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_35,c_0_120]) ).
cnf(c_0_130,plain,
( ~ para(X2,X5,X3,X4)
| ~ para(X2,X4,X3,X5)
| ~ midp(X1,X2,X3)
| midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_131,negated_conjecture,
para(esk24_0,esk21_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_132,negated_conjecture,
para(esk25_0,esk24_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_122,c_0_124]) ).
fof(c_0_133,plain,
! [X248,X249,X250,X251,X252,X253] :
( para(X248,X249,X250,X251)
| ~ eqangle(X248,X249,X252,X253,X250,X251,X252,X253) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])]) ).
cnf(c_0_134,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| eqangle(X3,X4,X1,X2,X7,X8,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_135,plain,
( ~ para(X1,X2,X3,X4)
| eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_136,plain,
( ~ midp(X5,X1,X6)
| ~ midp(X3,X4,X2)
| para(X1,X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_92]) ).
fof(c_0_137,plain,
! [X389,X390,X391] :
( cong(X389,X390,X389,X391)
| ~ midp(X389,X390,X391) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])])]) ).
cnf(c_0_138,negated_conjecture,
para(esk21_0,esk25_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_122,c_0_127]) ).
cnf(c_0_139,negated_conjecture,
cong(esk25_0,esk21_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_67,c_0_128]) ).
cnf(c_0_140,negated_conjecture,
( ~ coll(esk21_0,esk26_0,X1)
| coll(X1,esk21_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_129]) ).
cnf(c_0_141,negated_conjecture,
( ~ midp(X1,esk24_0,esk24_0)
| midp(X1,esk21_0,esk21_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_131])]) ).
cnf(c_0_142,negated_conjecture,
( ~ midp(X1,esk25_0,esk25_0)
| midp(X1,esk24_0,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_132]),c_0_132])]) ).
cnf(c_0_143,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_144,plain,
( ~ para(X3,X4,X5,X6)
| eqangle(X1,X2,X3,X4,X1,X2,X5,X6) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_145,negated_conjecture,
( ~ midp(X2,X1,X3)
| para(X1,X1,esk25_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_136,c_0_112]) ).
cnf(c_0_146,plain,
( ~ midp(X1,X2,X3)
| cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_147,negated_conjecture,
( ~ midp(X1,esk21_0,esk21_0)
| midp(X1,esk25_0,esk25_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_138]),c_0_138])]) ).
cnf(c_0_148,negated_conjecture,
cong(esk25_0,esk21_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_52,c_0_139]) ).
cnf(c_0_149,negated_conjecture,
coll(esk25_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_140,c_0_100]) ).
fof(c_0_150,plain,
! [X425,X426,X427,X428,X429,X430,X431,X432] :
( cong(X425,X426,X427,X428)
| ~ cong(X429,X430,X431,X432)
| ~ eqratio(X425,X426,X427,X428,X429,X430,X431,X432) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])])]) ).
fof(c_0_151,plain,
! [X395,X396,X397,X398,X399,X400] :
( eqratio(X399,X395,X395,X396,X400,X397,X397,X398)
| ~ midp(X400,X397,X398)
| ~ midp(X399,X395,X396) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])])]) ).
cnf(c_0_152,negated_conjecture,
( ~ midp(X1,esk25_0,esk25_0)
| midp(X1,esk21_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_153,plain,
( ~ para(X3,X4,X3,X4)
| para(X1,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_154,negated_conjecture,
para(esk25_0,esk25_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_145,c_0_112]) ).
cnf(c_0_155,negated_conjecture,
( ~ midp(X1,esk21_0,esk21_0)
| cong(X1,esk25_0,X1,esk25_0) ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_156,negated_conjecture,
midp(esk25_0,esk21_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_148]),c_0_149])]) ).
fof(c_0_157,plain,
! [X383,X384,X385] :
( coll(X383,X384,X385)
| ~ para(X383,X384,X383,X385) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])])]) ).
cnf(c_0_158,plain,
( ~ cong(X5,X6,X7,X8)
| ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
| cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_150]) ).
cnf(c_0_159,plain,
( ~ midp(X4,X5,X6)
| ~ midp(X1,X2,X3)
| eqratio(X1,X2,X2,X3,X4,X5,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_160,negated_conjecture,
midp(esk21_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_152,c_0_80]) ).
cnf(c_0_161,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_162,negated_conjecture,
cong(esk25_0,esk25_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_163,negated_conjecture,
coll(esk25_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_68,c_0_62]) ).
cnf(c_0_164,plain,
( ~ para(X1,X2,X1,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_165,plain,
( ~ midp(X1,X2,X3)
| ~ midp(X4,X5,X6)
| ~ cong(X4,X5,X5,X6)
| cong(X1,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_166,negated_conjecture,
cong(esk21_0,esk21_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_146,c_0_160]) ).
cnf(c_0_167,negated_conjecture,
( ~ midp(X1,X3,X3)
| midp(X1,X2,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_161]),c_0_161])]) ).
cnf(c_0_168,negated_conjecture,
midp(esk25_0,esk25_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_162]),c_0_163])]) ).
cnf(c_0_169,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_164,c_0_161]) ).
cnf(c_0_170,negated_conjecture,
( ~ midp(X1,X2,X3)
| cong(X1,X2,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_160])]) ).
cnf(c_0_171,negated_conjecture,
midp(esk25_0,X1,X1),
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_172,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_33,c_0_169]) ).
fof(c_0_173,plain,
! [X409,X410,X411,X412,X413,X414,X415,X416] :
( para(X409,X410,X411,X412)
| ~ para(X413,X414,X415,X416)
| ~ eqangle(X409,X410,X411,X412,X413,X414,X415,X416) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])]) ).
fof(c_0_174,plain,
! [X288,X289,X290] :
( eqangle(X290,X288,X288,X289,X288,X289,X290,X289)
| ~ cong(X290,X288,X290,X289) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])])]) ).
cnf(c_0_175,negated_conjecture,
cong(esk25_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
fof(c_0_176,plain,
! [X283,X284,X285,X286,X287] :
( midp(X287,X283,X285)
| ~ coll(X287,X283,X285)
| ~ para(X286,X287,X284,X285)
| ~ midp(X286,X283,X284) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])])]) ).
cnf(c_0_177,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_35,c_0_172]) ).
cnf(c_0_178,plain,
( ~ para(X5,X6,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_173]) ).
cnf(c_0_179,plain,
( ~ cong(X1,X2,X1,X3)
| eqangle(X1,X2,X2,X3,X2,X3,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_174]) ).
cnf(c_0_180,negated_conjecture,
cong(X1,X1,esk25_0,X1),
inference(spm,[status(thm)],[c_0_55,c_0_175]) ).
cnf(c_0_181,plain,
( ~ coll(X4,X2,X5)
| ~ para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_182,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_177]),c_0_177])]) ).
cnf(c_0_183,plain,
( ~ para(X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3)
| para(X1,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_184,negated_conjecture,
cong(X1,X1,X1,esk25_0),
inference(spm,[status(thm)],[c_0_52,c_0_180]) ).
cnf(c_0_185,plain,
( ~ para(X4,X1,X5,X3)
| ~ midp(X4,X2,X5)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_181,c_0_182])]) ).
cnf(c_0_186,negated_conjecture,
para(X1,X1,X1,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_161])]) ).
cnf(c_0_187,negated_conjecture,
( ~ midp(X3,X2,X3)
| midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_185,c_0_161]) ).
cnf(c_0_188,negated_conjecture,
( ~ midp(X1,X2,X1)
| midp(X1,X2,esk25_0) ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_189,negated_conjecture,
midp(X1,esk25_0,X1),
inference(spm,[status(thm)],[c_0_187,c_0_171]) ).
cnf(c_0_190,negated_conjecture,
midp(X1,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_191,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_167,c_0_190]) ).
cnf(c_0_192,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_187,c_0_191]) ).
fof(c_0_193,plain,
! [X278,X279,X280,X281,X282] :
( para(X281,X282,X279,X280)
| ~ midp(X282,X278,X280)
| ~ midp(X281,X278,X279) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])])]) ).
cnf(c_0_194,negated_conjecture,
midp(X1,X2,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_188,c_0_192])]) ).
fof(c_0_195,plain,
! [X108,X109,X110,X111,X112,X113,X114,X115] :
( eqangle(X112,X113,X114,X115,X108,X109,X110,X111)
| ~ eqangle(X108,X109,X110,X111,X112,X113,X114,X115) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])])]) ).
cnf(c_0_196,plain,
( ~ midp(X4,X2,X5)
| ~ midp(X1,X2,X3)
| para(X1,X4,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_193]) ).
cnf(c_0_197,negated_conjecture,
midp(X1,esk25_0,X2),
inference(spm,[status(thm)],[c_0_93,c_0_194]) ).
cnf(c_0_198,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| eqangle(X5,X6,X7,X8,X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_195]) ).
fof(c_0_199,plain,
! [X116,X117,X118,X119,X120,X121,X122,X123] :
( eqangle(X116,X117,X120,X121,X118,X119,X122,X123)
| ~ eqangle(X116,X117,X118,X119,X120,X121,X122,X123) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])])]) ).
cnf(c_0_200,negated_conjecture,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_197])]) ).
cnf(c_0_201,plain,
( ~ para(X5,X6,X1,X2)
| eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(spm,[status(thm)],[c_0_198,c_0_135]) ).
fof(c_0_202,plain,
! [X124,X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135] :
( eqangle(X124,X125,X126,X127,X132,X133,X134,X135)
| ~ eqangle(X128,X129,X130,X131,X132,X133,X134,X135)
| ~ eqangle(X124,X125,X126,X127,X128,X129,X130,X131) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])])]) ).
cnf(c_0_203,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| eqangle(X1,X2,X5,X6,X3,X4,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_199]) ).
cnf(c_0_204,plain,
eqangle(X1,X2,X3,X4,X1,X2,X5,X6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_200])]) ).
cnf(c_0_205,plain,
eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_201,c_0_200])]) ).
cnf(c_0_206,plain,
( ~ eqangle(X5,X6,X7,X8,X9,X10,X11,X12)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| eqangle(X1,X2,X3,X4,X9,X10,X11,X12) ),
inference(split_conjunct,[status(thm)],[c_0_202]) ).
cnf(c_0_207,plain,
eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
inference(spm,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_208,plain,
eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
inference(spm,[status(thm)],[c_0_203,c_0_205]) ).
cnf(c_0_209,negated_conjecture,
~ eqangle(esk21_0,esk23_0,esk23_0,esk26_0,esk26_0,esk23_0,esk23_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_210,plain,
eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_208])]) ).
cnf(c_0_211,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_209,c_0_210])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO581+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n005.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 17:40:32 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.01/0.72 % Version: 3.5.1
% 2.01/0.72 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.01/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.01/0.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.01/0.72 % Starting new_bool_3 with 300s (1) cores
% 2.01/0.72 % Starting new_bool_1 with 300s (1) cores
% 2.01/0.72 % Starting sh5l with 300s (1) cores
% 2.01/0.72 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1462442 completed with status 0
% 2.01/0.72 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 2.01/0.72 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.01/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.01/0.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.01/0.72 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.01/0.72 % No SInE strategy applied
% 2.01/0.72 % Search class: FGUSF-FFLS33-SFFFFFNN
% 2.01/0.72 % partial match(1): FGUSF-FFLS32-SFFFFFNN
% 2.01/0.72 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.01/0.72 % Starting SubtermCWHack with 136s (1) cores
% 2.01/0.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.01/0.72 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 2.01/0.72 % Starting new_bool_3 with 136s (1) cores
% 2.01/0.72 % Starting new_bool_1 with 136s (1) cores
% 2.01/0.72 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 1462450 completed with status 0
% 2.01/0.72 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 2.01/0.72 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.01/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.01/0.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.01/0.72 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.01/0.72 % No SInE strategy applied
% 2.01/0.72 % Search class: FGUSF-FFLS33-SFFFFFNN
% 2.01/0.72 % partial match(1): FGUSF-FFLS32-SFFFFFNN
% 2.01/0.72 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.01/0.72 % Starting SubtermCWHack with 136s (1) cores
% 2.01/0.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.01/0.72 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 2.01/0.72 % Preprocessing time : 0.003 s
% 2.01/0.72 % Presaturation interreduction done
% 2.01/0.72
% 2.01/0.72 % Proof found!
% 2.01/0.72 % SZS status Theorem
% 2.01/0.72 % SZS output start CNFRefutation
% See solution above
% 2.01/0.72 % Parsed axioms : 95
% 2.01/0.72 % Removed by relevancy pruning/SinE : 0
% 2.01/0.72 % Initial clauses : 119
% 2.01/0.72 % Removed in clause preprocessing : 0
% 2.01/0.72 % Initial clauses in saturation : 119
% 2.01/0.72 % Processed clauses : 2847
% 2.01/0.72 % ...of these trivial : 452
% 2.01/0.72 % ...subsumed : 493
% 2.01/0.72 % ...remaining for further processing : 1902
% 2.01/0.72 % Other redundant clauses eliminated : 0
% 2.01/0.72 % Clauses deleted for lack of memory : 0
% 2.01/0.72 % Backward-subsumed : 77
% 2.01/0.72 % Backward-rewritten : 1677
% 2.01/0.72 % Generated clauses : 11611
% 2.01/0.72 % ...of the previous two non-redundant : 8241
% 2.01/0.72 % ...aggressively subsumed : 0
% 2.01/0.72 % Contextual simplify-reflections : 9
% 2.01/0.72 % Paramodulations : 11611
% 2.01/0.72 % Factorizations : 0
% 2.01/0.72 % NegExts : 0
% 2.01/0.72 % Equation resolutions : 0
% 2.01/0.72 % Disequality decompositions : 0
% 2.01/0.72 % Total rewrite steps : 6413
% 2.01/0.72 % ...of those cached : 4218
% 2.01/0.72 % Propositional unsat checks : 0
% 2.01/0.72 % Propositional check models : 0
% 2.01/0.72 % Propositional check unsatisfiable : 0
% 2.01/0.72 % Propositional clauses : 0
% 2.01/0.72 % Propositional clauses after purity: 0
% 2.01/0.72 % Propositional unsat core size : 0
% 2.01/0.72 % Propositional preprocessing time : 0.000
% 2.01/0.72 % Propositional encoding time : 0.000
% 2.01/0.72 % Propositional solver time : 0.000
% 2.01/0.72 % Success case prop preproc time : 0.000
% 2.01/0.72 % Success case prop encoding time : 0.000
% 2.01/0.72 % Success case prop solver time : 0.000
% 2.01/0.72 % Current number of processed clauses : 30
% 2.01/0.72 % Positive orientable unit clauses : 12
% 2.01/0.72 % Positive unorientable unit clauses: 0
% 2.01/0.72 % Negative unit clauses : 0
% 2.01/0.72 % Non-unit-clauses : 18
% 2.01/0.72 % Current number of unprocessed clauses: 2059
% 2.01/0.72 % ...number of literals in the above : 7461
% 2.01/0.72 % Current number of archived formulas : 0
% 2.01/0.72 % Current number of archived clauses : 1872
% 2.01/0.72 % Clause-clause subsumption calls (NU) : 67924
% 2.01/0.72 % Rec. Clause-clause subsumption calls : 57344
% 2.01/0.72 % Non-unit clause-clause subsumptions : 534
% 2.01/0.72 % Unit Clause-clause subsumption calls : 55197
% 2.01/0.72 % Rewrite failures with RHS unbound : 0
% 2.01/0.72 % BW rewrite match attempts : 11857
% 2.01/0.72 % BW rewrite match successes : 1308
% 2.01/0.72 % Condensation attempts : 0
% 2.01/0.72 % Condensation successes : 0
% 2.01/0.72 % Termbank termtop insertions : 139126
% 2.01/0.72 % Search garbage collected termcells : 2795
% 2.01/0.72
% 2.01/0.72 % -------------------------------------------------
% 2.01/0.72 % User time : 0.274 s
% 2.01/0.72 % System time : 0.019 s
% 2.01/0.72 % Total time : 0.294 s
% 2.01/0.72 % Maximum resident set size: 4252 pages
% 2.01/0.72
% 2.01/0.72 % -------------------------------------------------
% 2.01/0.72 % User time : 1.194 s
% 2.01/0.72 % System time : 0.071 s
% 2.01/0.72 % Total time : 1.265 s
% 2.01/0.72 % Maximum resident set size: 4608 pages
% 2.01/0.72 % E exiting
%------------------------------------------------------------------------------