TSTP Solution File: GEO605+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GEO605+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n026.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:35:22 EDT 2023
% Result : Theorem 4.45s 0.97s
% Output : CNFRefutation 4.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 22
% Syntax : Number of formulae : 126 ( 45 unt; 0 def)
% Number of atoms : 293 ( 0 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 260 ( 93 ~; 90 |; 54 &)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 11 con; 0-6 aty)
% Number of variables : 435 ( 28 sgn; 230 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL618067,conjecture,
! [X7,X2,X3,X19,X20,X21,X1,X8,X22,X23,X24] :
( ( eqangle(X19,X7,X7,X2,X19,X7,X7,X3)
& eqangle(X19,X2,X2,X3,X19,X2,X2,X7)
& eqangle(X19,X3,X3,X7,X19,X3,X3,X2)
& perp(X2,X19,X2,X20)
& perp(X3,X19,X3,X21)
& coll(X20,X3,X19)
& coll(X21,X2,X19)
& midp(X1,X21,X20)
& midp(X22,X2,X19)
& perp(X2,X19,X22,X8)
& midp(X23,X2,X3)
& perp(X2,X3,X23,X8)
& midp(X24,X19,X3)
& perp(X19,X3,X24,X8) )
=> perp(X1,X2,X2,X8) ),
file('/export/starexec/sandbox/tmp/tmp.bRJfm1UUG0/E---3.1_14500.p',exemplo6GDDFULL618067) ).
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/tmp/tmp.bRJfm1UUG0/E---3.1_14500.p',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/tmp/tmp.bRJfm1UUG0/E---3.1_14500.p',ruleD40) ).
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/tmp/tmp.bRJfm1UUG0/E---3.1_14500.p',ruleD21) ).
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/tmp/tmp.bRJfm1UUG0/E---3.1_14500.p',ruleD39) ).
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/tmp/tmp.bRJfm1UUG0/E---3.1_14500.p',ruleD73) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.bRJfm1UUG0/E---3.1_14500.p',ruleD66) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.bRJfm1UUG0/E---3.1_14500.p',ruleD2) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/tmp/tmp.bRJfm1UUG0/E---3.1_14500.p',ruleD1) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X3)
& coll(X1,X2,X4) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox/tmp/tmp.bRJfm1UUG0/E---3.1_14500.p',ruleD3) ).
fof(ruleD5,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.bRJfm1UUG0/E---3.1_14500.p',ruleD5) ).
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/tmp/tmp.bRJfm1UUG0/E---3.1_14500.p',ruleD45) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.bRJfm1UUG0/E---3.1_14500.p',ruleD4) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.bRJfm1UUG0/E---3.1_14500.p',ruleD11) ).
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/tmp/tmp.bRJfm1UUG0/E---3.1_14500.p',ruleD64) ).
fof(ruleD46,axiom,
! [X1,X2,X8] :
( cong(X8,X1,X8,X2)
=> eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
file('/export/starexec/sandbox/tmp/tmp.bRJfm1UUG0/E---3.1_14500.p',ruleD46) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.bRJfm1UUG0/E---3.1_14500.p',ruleD68) ).
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/tmp/tmp.bRJfm1UUG0/E---3.1_14500.p',ruleX6) ).
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/tmp/tmp.bRJfm1UUG0/E---3.1_14500.p',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/tmp/tmp.bRJfm1UUG0/E---3.1_14500.p',ruleD70) ).
fof(ruleD23,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.bRJfm1UUG0/E---3.1_14500.p',ruleD23) ).
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/tmp/tmp.bRJfm1UUG0/E---3.1_14500.p',ruleD56) ).
fof(c_0_22,negated_conjecture,
~ ! [X7,X2,X3,X19,X20,X21,X1,X8,X22,X23,X24] :
( ( eqangle(X19,X7,X7,X2,X19,X7,X7,X3)
& eqangle(X19,X2,X2,X3,X19,X2,X2,X7)
& eqangle(X19,X3,X3,X7,X19,X3,X3,X2)
& perp(X2,X19,X2,X20)
& perp(X3,X19,X3,X21)
& coll(X20,X3,X19)
& coll(X21,X2,X19)
& midp(X1,X21,X20)
& midp(X22,X2,X19)
& perp(X2,X19,X22,X8)
& midp(X23,X2,X3)
& perp(X2,X3,X23,X8)
& midp(X24,X19,X3)
& perp(X19,X3,X24,X8) )
=> perp(X1,X2,X2,X8) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL618067]) ).
fof(c_0_23,plain,
! [X300,X301,X302,X303,X304,X305,X306,X307] :
( ~ eqangle(X300,X301,X302,X303,X304,X305,X306,X307)
| eqangle(X302,X303,X300,X301,X306,X307,X304,X305) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_24,negated_conjecture,
( eqangle(esk4_0,esk1_0,esk1_0,esk2_0,esk4_0,esk1_0,esk1_0,esk3_0)
& eqangle(esk4_0,esk2_0,esk2_0,esk3_0,esk4_0,esk2_0,esk2_0,esk1_0)
& eqangle(esk4_0,esk3_0,esk3_0,esk1_0,esk4_0,esk3_0,esk3_0,esk2_0)
& perp(esk2_0,esk4_0,esk2_0,esk5_0)
& perp(esk3_0,esk4_0,esk3_0,esk6_0)
& coll(esk5_0,esk3_0,esk4_0)
& coll(esk6_0,esk2_0,esk4_0)
& midp(esk7_0,esk6_0,esk5_0)
& midp(esk9_0,esk2_0,esk4_0)
& perp(esk2_0,esk4_0,esk9_0,esk8_0)
& midp(esk10_0,esk2_0,esk3_0)
& perp(esk2_0,esk3_0,esk10_0,esk8_0)
& midp(esk11_0,esk4_0,esk3_0)
& perp(esk4_0,esk3_0,esk11_0,esk8_0)
& ~ perp(esk7_0,esk2_0,esk2_0,esk8_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).
fof(c_0_25,plain,
! [X342,X343,X344,X345,X346,X347] :
( ~ para(X342,X343,X344,X345)
| eqangle(X342,X343,X346,X347,X344,X345,X346,X347) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_26,plain,
! [X316,X317,X318,X319,X320,X321,X322,X323] :
( ~ eqangle(X316,X317,X318,X319,X320,X321,X322,X323)
| eqangle(X316,X317,X320,X321,X318,X319,X322,X323) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).
fof(c_0_27,plain,
! [X336,X337,X338,X339,X340,X341] :
( ~ eqangle(X336,X337,X340,X341,X338,X339,X340,X341)
| para(X336,X337,X338,X339) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_28,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_23]) ).
cnf(c_0_29,negated_conjecture,
eqangle(esk4_0,esk3_0,esk3_0,esk1_0,esk4_0,esk3_0,esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_31,plain,
! [X371,X372,X373,X374,X375,X376,X377,X378] :
( ~ eqangle(X371,X372,X373,X374,X375,X376,X377,X378)
| ~ para(X375,X376,X377,X378)
| para(X371,X372,X373,X374) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
cnf(c_0_32,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_34,negated_conjecture,
eqangle(esk3_0,esk1_0,esk4_0,esk3_0,esk3_0,esk2_0,esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_35,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_28,c_0_30]) ).
cnf(c_0_36,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_31]) ).
cnf(c_0_37,negated_conjecture,
eqangle(esk4_0,esk3_0,esk4_0,esk3_0,esk3_0,esk1_0,esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_32,c_0_29]) ).
cnf(c_0_38,negated_conjecture,
para(esk3_0,esk1_0,esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
fof(c_0_39,plain,
! [X263,X264,X265] :
( ~ para(X263,X264,X263,X265)
| coll(X263,X264,X265) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_40,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_33,c_0_35]) ).
cnf(c_0_41,negated_conjecture,
para(esk4_0,esk3_0,esk4_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38])]) ).
fof(c_0_42,plain,
! [X234,X235,X236] :
( ~ coll(X234,X235,X236)
| coll(X235,X234,X236) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_43,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_44,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
fof(c_0_45,plain,
! [X231,X232,X233] :
( ~ coll(X231,X232,X233)
| coll(X231,X233,X232) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_46,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_47,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_48,negated_conjecture,
eqangle(esk4_0,esk2_0,esk2_0,esk3_0,esk4_0,esk2_0,esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_49,plain,
! [X237,X238,X239,X240] :
( ~ coll(X237,X238,X239)
| ~ coll(X237,X238,X240)
| coll(X239,X240,X237) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_50,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_51,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
fof(c_0_52,plain,
! [X383,X384,X385,X386] :
( ~ para(X383,X384,X385,X386)
| para(X385,X386,X383,X384) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_53,negated_conjecture,
eqangle(esk2_0,esk3_0,esk4_0,esk2_0,esk2_0,esk1_0,esk4_0,esk2_0),
inference(spm,[status(thm)],[c_0_28,c_0_48]) ).
fof(c_0_54,plain,
! [X163,X164,X165,X166,X167] :
( ~ midp(X166,X163,X164)
| ~ para(X166,X167,X164,X165)
| ~ coll(X167,X163,X165)
| midp(X167,X163,X165) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_55,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_56,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_57,plain,
! [X379,X380,X381,X382] :
( ~ para(X379,X380,X381,X382)
| para(X379,X380,X382,X381) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_58,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_59,negated_conjecture,
para(esk2_0,esk3_0,esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_33,c_0_53]) ).
cnf(c_0_60,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_54]) ).
cnf(c_0_61,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_56])]) ).
cnf(c_0_62,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_63,negated_conjecture,
para(esk2_0,esk1_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_64,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_61])]) ).
cnf(c_0_65,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_62,c_0_44]) ).
cnf(c_0_66,negated_conjecture,
para(esk2_0,esk1_0,esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
fof(c_0_67,plain,
! [X155,X156,X157] :
( ~ midp(X157,X156,X155)
| midp(X157,X155,X156) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_68,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_69,negated_conjecture,
midp(esk10_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_70,negated_conjecture,
para(esk3_0,esk1_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_62,c_0_38]) ).
cnf(c_0_71,negated_conjecture,
para(esk3_0,esk2_0,esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_58,c_0_66]) ).
cnf(c_0_72,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_73,negated_conjecture,
midp(esk3_0,esk2_0,esk10_0),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_74,negated_conjecture,
para(esk2_0,esk3_0,esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_58,c_0_70]) ).
cnf(c_0_75,negated_conjecture,
( midp(esk2_0,X1,esk1_0)
| ~ midp(esk3_0,X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_64,c_0_71]) ).
cnf(c_0_76,negated_conjecture,
midp(esk3_0,esk10_0,esk2_0),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
fof(c_0_77,plain,
! [X183,X184,X185,X186,X187] :
( ~ midp(X187,X183,X184)
| ~ para(X183,X185,X184,X186)
| ~ para(X183,X186,X184,X185)
| midp(X187,X185,X186) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_78,negated_conjecture,
para(esk2_0,esk3_0,esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_62,c_0_74]) ).
cnf(c_0_79,negated_conjecture,
midp(esk2_0,esk10_0,esk1_0),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_80,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_77]) ).
cnf(c_0_81,negated_conjecture,
para(esk1_0,esk3_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_58,c_0_78]) ).
cnf(c_0_82,negated_conjecture,
midp(esk2_0,esk1_0,esk10_0),
inference(spm,[status(thm)],[c_0_72,c_0_79]) ).
cnf(c_0_83,negated_conjecture,
( midp(X1,esk3_0,esk3_0)
| ~ midp(X1,esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_81])]) ).
cnf(c_0_84,negated_conjecture,
midp(esk10_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_68,c_0_82]) ).
cnf(c_0_85,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_44]),c_0_44])]) ).
cnf(c_0_86,negated_conjecture,
midp(esk10_0,esk3_0,esk3_0),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
fof(c_0_87,plain,
! [X358,X359,X360] :
( ~ cong(X360,X358,X360,X359)
| eqangle(X360,X358,X358,X359,X358,X359,X360,X359) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
fof(c_0_88,plain,
! [X191,X192,X193] :
( ~ midp(X191,X192,X193)
| cong(X191,X192,X191,X193) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_89,negated_conjecture,
midp(esk10_0,X1,X1),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_90,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_91,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_92,negated_conjecture,
midp(X1,X1,esk10_0),
inference(spm,[status(thm)],[c_0_68,c_0_89]) ).
cnf(c_0_93,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_90]) ).
cnf(c_0_94,negated_conjecture,
cong(X1,X1,X1,esk10_0),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_95,negated_conjecture,
para(X1,X1,X1,esk10_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_44])]) ).
cnf(c_0_96,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_64,c_0_44]) ).
cnf(c_0_97,negated_conjecture,
( midp(X1,X2,esk10_0)
| ~ midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_95]) ).
cnf(c_0_98,negated_conjecture,
midp(X1,esk10_0,X1),
inference(spm,[status(thm)],[c_0_96,c_0_89]) ).
fof(c_0_99,plain,
! [X203,X204,X205,X206,X207,X208] :
( ( midp(esk23_6(X203,X204,X205,X206,X207,X208),X203,X206)
| ~ midp(X207,X203,X204)
| ~ midp(X208,X205,X206) )
& ( para(esk23_6(X203,X204,X205,X206,X207,X208),X207,X204,X206)
| ~ midp(X207,X203,X204)
| ~ midp(X208,X205,X206) )
& ( para(esk23_6(X203,X204,X205,X206,X207,X208),X208,X203,X205)
| ~ midp(X207,X203,X204)
| ~ midp(X208,X205,X206) ) ),
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_100,negated_conjecture,
midp(X1,esk10_0,esk10_0),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_101,plain,
( para(esk23_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_99]) ).
cnf(c_0_102,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_85,c_0_100]) ).
fof(c_0_103,plain,
! [X428,X429,X430,X431,X432,X433,X434,X435] :
( ~ eqratio(X428,X429,X430,X431,X432,X433,X434,X435)
| ~ cong(X432,X433,X434,X435)
| cong(X428,X429,X430,X431) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).
fof(c_0_104,plain,
! [X197,X198,X199,X200,X201,X202] :
( ~ midp(X201,X197,X198)
| ~ midp(X202,X199,X200)
| eqratio(X201,X197,X197,X198,X202,X199,X199,X200) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).
cnf(c_0_105,plain,
( midp(X1,X2,X3)
| ~ midp(esk23_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_60,c_0_101]) ).
cnf(c_0_106,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_96,c_0_102]) ).
cnf(c_0_107,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_103]) ).
cnf(c_0_108,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_104]) ).
cnf(c_0_109,plain,
( midp(X1,X2,X3)
| ~ midp(esk23_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_105,c_0_61])]) ).
cnf(c_0_110,negated_conjecture,
midp(X1,X2,esk10_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_106])]) ).
cnf(c_0_111,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_107,c_0_108]) ).
cnf(c_0_112,negated_conjecture,
cong(X1,esk10_0,X1,X1),
inference(spm,[status(thm)],[c_0_91,c_0_98]) ).
cnf(c_0_113,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X4,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_110])]) ).
cnf(c_0_114,negated_conjecture,
midp(esk10_0,X1,X2),
inference(spm,[status(thm)],[c_0_68,c_0_110]) ).
fof(c_0_115,plain,
! [X402,X403,X404,X405] :
( ~ cong(X402,X403,X404,X405)
| cong(X402,X403,X405,X404) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_116,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_111,c_0_112]),c_0_92])]) ).
cnf(c_0_117,negated_conjecture,
midp(X1,X2,X3),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
fof(c_0_118,plain,
! [X78,X79,X80,X81] :
( ~ cong(X78,X80,X79,X80)
| ~ cong(X78,X81,X79,X81)
| perp(X78,X79,X80,X81) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).
cnf(c_0_119,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_120,negated_conjecture,
cong(X1,X2,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_117])]) ).
cnf(c_0_121,plain,
( perp(X1,X3,X2,X4)
| ~ cong(X1,X2,X3,X2)
| ~ cong(X1,X4,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_122,negated_conjecture,
cong(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_123,negated_conjecture,
~ perp(esk7_0,esk2_0,esk2_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_124,plain,
perp(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_122]),c_0_122])]) ).
cnf(c_0_125,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_124])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GEO605+1 : TPTP v8.1.2. Released v7.5.0.
% 0.02/0.09 % Command : run_E %s %d THM
% 0.09/0.29 % Computer : n026.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 2400
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Oct 3 07:13:44 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.14/0.40 Running first-order model finding
% 0.14/0.40 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.bRJfm1UUG0/E---3.1_14500.p
% 4.45/0.97 # Version: 3.1pre001
% 4.45/0.97 # Preprocessing class: FSLSSMSSSSSNFFN.
% 4.45/0.97 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.45/0.97 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.45/0.97 # Starting new_bool_3 with 300s (1) cores
% 4.45/0.97 # Starting new_bool_1 with 300s (1) cores
% 4.45/0.97 # Starting sh5l with 300s (1) cores
% 4.45/0.97 # sh5l with pid 14580 completed with status 0
% 4.45/0.97 # Result found by sh5l
% 4.45/0.97 # Preprocessing class: FSLSSMSSSSSNFFN.
% 4.45/0.97 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.45/0.97 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.45/0.97 # Starting new_bool_3 with 300s (1) cores
% 4.45/0.97 # Starting new_bool_1 with 300s (1) cores
% 4.45/0.97 # Starting sh5l with 300s (1) cores
% 4.45/0.97 # SinE strategy is gf500_gu_R04_F100_L20000
% 4.45/0.97 # Search class: FGUSF-FFLM33-SFFFFFNN
% 4.45/0.97 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 4.45/0.97 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 4.45/0.97 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 4.45/0.97 # SAT001_MinMin_p005000_rr_RG with pid 14588 completed with status 0
% 4.45/0.97 # Result found by SAT001_MinMin_p005000_rr_RG
% 4.45/0.97 # Preprocessing class: FSLSSMSSSSSNFFN.
% 4.45/0.97 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.45/0.97 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.45/0.97 # Starting new_bool_3 with 300s (1) cores
% 4.45/0.97 # Starting new_bool_1 with 300s (1) cores
% 4.45/0.97 # Starting sh5l with 300s (1) cores
% 4.45/0.97 # SinE strategy is gf500_gu_R04_F100_L20000
% 4.45/0.97 # Search class: FGUSF-FFLM33-SFFFFFNN
% 4.45/0.97 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 4.45/0.97 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 4.45/0.97 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 4.45/0.97 # Preprocessing time : 0.002 s
% 4.45/0.97 # Presaturation interreduction done
% 4.45/0.97
% 4.45/0.97 # Proof found!
% 4.45/0.97 # SZS status Theorem
% 4.45/0.97 # SZS output start CNFRefutation
% See solution above
% 4.45/0.97 # Parsed axioms : 95
% 4.45/0.97 # Removed by relevancy pruning/SinE : 0
% 4.45/0.97 # Initial clauses : 128
% 4.45/0.97 # Removed in clause preprocessing : 0
% 4.45/0.97 # Initial clauses in saturation : 128
% 4.45/0.97 # Processed clauses : 4848
% 4.45/0.97 # ...of these trivial : 393
% 4.45/0.97 # ...subsumed : 594
% 4.45/0.97 # ...remaining for further processing : 3861
% 4.45/0.97 # Other redundant clauses eliminated : 0
% 4.45/0.97 # Clauses deleted for lack of memory : 0
% 4.45/0.97 # Backward-subsumed : 43
% 4.45/0.97 # Backward-rewritten : 3554
% 4.45/0.97 # Generated clauses : 30072
% 4.45/0.97 # ...of the previous two non-redundant : 16523
% 4.45/0.97 # ...aggressively subsumed : 0
% 4.45/0.97 # Contextual simplify-reflections : 3
% 4.45/0.97 # Paramodulations : 30072
% 4.45/0.97 # Factorizations : 0
% 4.45/0.97 # NegExts : 0
% 4.45/0.97 # Equation resolutions : 0
% 4.45/0.97 # Total rewrite steps : 19174
% 4.45/0.97 # Propositional unsat checks : 0
% 4.45/0.97 # Propositional check models : 0
% 4.45/0.97 # Propositional check unsatisfiable : 0
% 4.45/0.97 # Propositional clauses : 0
% 4.45/0.97 # Propositional clauses after purity: 0
% 4.45/0.97 # Propositional unsat core size : 0
% 4.45/0.97 # Propositional preprocessing time : 0.000
% 4.45/0.97 # Propositional encoding time : 0.000
% 4.45/0.97 # Propositional solver time : 0.000
% 4.45/0.97 # Success case prop preproc time : 0.000
% 4.45/0.97 # Success case prop encoding time : 0.000
% 4.45/0.97 # Success case prop solver time : 0.000
% 4.45/0.97 # Current number of processed clauses : 137
% 4.45/0.97 # Positive orientable unit clauses : 108
% 4.45/0.97 # Positive unorientable unit clauses: 0
% 4.45/0.97 # Negative unit clauses : 0
% 4.45/0.97 # Non-unit-clauses : 29
% 4.45/0.97 # Current number of unprocessed clauses: 11273
% 4.45/0.97 # ...number of literals in the above : 35437
% 4.45/0.97 # Current number of archived formulas : 0
% 4.45/0.97 # Current number of archived clauses : 3724
% 4.45/0.97 # Clause-clause subsumption calls (NU) : 185330
% 4.45/0.97 # Rec. Clause-clause subsumption calls : 151446
% 4.45/0.97 # Non-unit clause-clause subsumptions : 638
% 4.45/0.97 # Unit Clause-clause subsumption calls : 59558
% 4.45/0.97 # Rewrite failures with RHS unbound : 0
% 4.45/0.97 # BW rewrite match attempts : 16691
% 4.45/0.97 # BW rewrite match successes : 2504
% 4.45/0.97 # Condensation attempts : 0
% 4.45/0.97 # Condensation successes : 0
% 4.45/0.97 # Termbank termtop insertions : 316582
% 4.45/0.97
% 4.45/0.97 # -------------------------------------------------
% 4.45/0.97 # User time : 0.536 s
% 4.45/0.97 # System time : 0.020 s
% 4.45/0.97 # Total time : 0.556 s
% 4.45/0.97 # Maximum resident set size: 2524 pages
% 4.45/0.97
% 4.45/0.97 # -------------------------------------------------
% 4.45/0.97 # User time : 0.540 s
% 4.45/0.97 # System time : 0.021 s
% 4.45/0.97 # Total time : 0.561 s
% 4.45/0.97 # Maximum resident set size: 1872 pages
% 4.45/0.97 % E---3.1 exiting
%------------------------------------------------------------------------------