TSTP Solution File: GEO648+1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GEO648+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n003.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 17:33:16 EDT 2023
% Result : Theorem 2.64s 0.76s
% Output : CNFRefutation 2.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 27
% Syntax : Number of formulae : 134 ( 34 unt; 0 def)
% Number of atoms : 293 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 265 ( 106 ~; 103 |; 28 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 482 ( 33 sgn; 252 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULLmoreE0213,conjecture,
! [X1,X2,X3,X4,X5,X19,X20,X21,X22] :
( ( circle(X1,X2,X19,X20)
& circle(X1,X2,X3,X21)
& perp(X1,X3,X3,X4)
& perp(X1,X2,X2,X4)
& coll(X3,X1,X5)
& circle(X1,X3,X5,X22) )
=> para(X1,X4,X2,X5) ),
file('/export/starexec/sandbox/tmp/tmp.80QZrRpAju/E---3.1_20547.p',exemplo6GDDFULLmoreE0213) ).
fof(ruleD8,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.80QZrRpAju/E---3.1_20547.p',ruleD8) ).
fof(ruleD7,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.80QZrRpAju/E---3.1_20547.p',ruleD7) ).
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.80QZrRpAju/E---3.1_20547.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.80QZrRpAju/E---3.1_20547.p',ruleD40) ).
fof(ruleD9,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( perp(X1,X2,X3,X4)
& perp(X3,X4,X5,X6) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/tmp/tmp.80QZrRpAju/E---3.1_20547.p',ruleD9) ).
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.80QZrRpAju/E---3.1_20547.p',ruleD39) ).
fof(ruleD5,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.80QZrRpAju/E---3.1_20547.p',ruleD5) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.80QZrRpAju/E---3.1_20547.p',ruleD66) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.80QZrRpAju/E---3.1_20547.p',ruleD2) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/tmp/tmp.80QZrRpAju/E---3.1_20547.p',ruleD1) ).
fof(ruleD42b,axiom,
! [X1,X2,X9,X10] :
( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
& coll(X9,X10,X2) )
=> cyclic(X1,X2,X9,X10) ),
file('/export/starexec/sandbox/tmp/tmp.80QZrRpAju/E---3.1_20547.p',ruleD42b) ).
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.80QZrRpAju/E---3.1_20547.p',ruleD3) ).
fof(ruleD15,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X3,X2,X4) ),
file('/export/starexec/sandbox/tmp/tmp.80QZrRpAju/E---3.1_20547.p',ruleD15) ).
fof(ruleD14,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.80QZrRpAju/E---3.1_20547.p',ruleD14) ).
fof(ruleD16,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X2,X1,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.80QZrRpAju/E---3.1_20547.p',ruleD16) ).
fof(ruleD51,axiom,
! [X1,X2,X3,X8,X7] :
( ( circle(X8,X1,X2,X3)
& coll(X7,X2,X3)
& eqangle(X1,X2,X1,X3,X8,X2,X8,X7) )
=> midp(X7,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.80QZrRpAju/E---3.1_20547.p',ruleD51) ).
fof(ruleD41,axiom,
! [X1,X2,X9,X10] :
( cyclic(X1,X2,X9,X10)
=> eqangle(X9,X1,X9,X2,X10,X1,X10,X2) ),
file('/export/starexec/sandbox/tmp/tmp.80QZrRpAju/E---3.1_20547.p',ruleD41) ).
fof(ruleD17,axiom,
! [X1,X2,X3,X4,X5] :
( ( cyclic(X1,X2,X3,X4)
& cyclic(X1,X2,X3,X5) )
=> cyclic(X2,X3,X4,X5) ),
file('/export/starexec/sandbox/tmp/tmp.80QZrRpAju/E---3.1_20547.p',ruleD17) ).
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.80QZrRpAju/E---3.1_20547.p',ruleD45) ).
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.80QZrRpAju/E---3.1_20547.p',ruleD46) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.80QZrRpAju/E---3.1_20547.p',ruleD4) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.80QZrRpAju/E---3.1_20547.p',ruleD11) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.80QZrRpAju/E---3.1_20547.p',ruleD68) ).
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.80QZrRpAju/E---3.1_20547.p',ruleD64) ).
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.80QZrRpAju/E---3.1_20547.p',ruleD73) ).
fof(ruleD44,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& midp(X6,X1,X3) )
=> para(X5,X6,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.80QZrRpAju/E---3.1_20547.p',ruleD44) ).
fof(c_0_27,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X19,X20,X21,X22] :
( ( circle(X1,X2,X19,X20)
& circle(X1,X2,X3,X21)
& perp(X1,X3,X3,X4)
& perp(X1,X2,X2,X4)
& coll(X3,X1,X5)
& circle(X1,X3,X5,X22) )
=> para(X1,X4,X2,X5) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULLmoreE0213]) ).
fof(c_0_28,plain,
! [X255,X256,X257,X258] :
( ~ perp(X255,X256,X257,X258)
| perp(X257,X258,X255,X256) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_29,negated_conjecture,
( circle(esk1_0,esk2_0,esk6_0,esk7_0)
& circle(esk1_0,esk2_0,esk3_0,esk8_0)
& perp(esk1_0,esk3_0,esk3_0,esk4_0)
& perp(esk1_0,esk2_0,esk2_0,esk4_0)
& coll(esk3_0,esk1_0,esk5_0)
& circle(esk1_0,esk3_0,esk5_0,esk9_0)
& ~ para(esk1_0,esk4_0,esk2_0,esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
fof(c_0_30,plain,
! [X251,X252,X253,X254] :
( ~ perp(X251,X252,X253,X254)
| perp(X251,X252,X254,X253) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])]) ).
cnf(c_0_31,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_32,negated_conjecture,
perp(esk1_0,esk3_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_33,plain,
( perp(X1,X2,X4,X3)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_34,negated_conjecture,
perp(esk3_0,esk4_0,esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,negated_conjecture,
perp(esk3_0,esk4_0,esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
fof(c_0_36,plain,
! [X293,X294,X295,X296,X297,X298,X299,X300] :
( ~ eqangle(X293,X294,X295,X296,X297,X298,X299,X300)
| eqangle(X295,X296,X293,X294,X299,X300,X297,X298) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_37,plain,
! [X64,X65,X66,X67,X68,X69] :
( ~ para(X64,X65,X66,X67)
| eqangle(X64,X65,X68,X69,X66,X67,X68,X69) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_38,plain,
! [X46,X47,X48,X49,X50,X51] :
( ~ perp(X46,X47,X48,X49)
| ~ perp(X48,X49,X50,X51)
| para(X46,X47,X50,X51) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
cnf(c_0_39,negated_conjecture,
perp(esk3_0,esk1_0,esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_31,c_0_35]) ).
fof(c_0_40,plain,
! [X58,X59,X60,X61,X62,X63] :
( ~ eqangle(X58,X59,X62,X63,X60,X61,X62,X63)
| para(X58,X59,X60,X61) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_41,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_36]) ).
cnf(c_0_42,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_43,plain,
! [X36,X37,X38,X39] :
( ~ para(X36,X37,X38,X39)
| para(X38,X39,X36,X37) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_44,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_45,negated_conjecture,
perp(esk3_0,esk1_0,esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_33,c_0_39]) ).
cnf(c_0_46,negated_conjecture,
perp(esk1_0,esk3_0,esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_33,c_0_32]) ).
cnf(c_0_47,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_48,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_49,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_50,negated_conjecture,
( para(X1,X2,esk4_0,esk3_0)
| ~ perp(X1,X2,esk3_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_51,negated_conjecture,
perp(esk4_0,esk3_0,esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_31,c_0_46]) ).
fof(c_0_52,plain,
! [X90,X91,X92] :
( ~ para(X90,X91,X90,X92)
| coll(X90,X91,X92) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_53,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_54,negated_conjecture,
( para(esk4_0,esk3_0,X1,X2)
| ~ perp(X1,X2,esk3_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_55,negated_conjecture,
perp(esk4_0,esk3_0,esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_33,c_0_51]) ).
fof(c_0_56,plain,
! [X191,X192,X193] :
( ~ coll(X191,X192,X193)
| coll(X192,X191,X193) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_57,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_58,negated_conjecture,
para(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]) ).
fof(c_0_59,plain,
! [X188,X189,X190] :
( ~ coll(X188,X189,X190)
| coll(X188,X190,X189) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_60,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_61,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
fof(c_0_62,plain,
! [X382,X383,X384,X385] :
( ~ eqangle(X384,X382,X384,X383,X385,X382,X385,X383)
| ~ coll(X384,X385,X383)
| cyclic(X382,X383,X384,X385) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_63,plain,
! [X194,X195,X196,X197] :
( ~ coll(X194,X195,X196)
| ~ coll(X194,X195,X197)
| coll(X196,X197,X194) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_64,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_65,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_66,plain,
( cyclic(X2,X3,X1,X4)
| ~ eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
| ~ coll(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_67,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_68,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
fof(c_0_69,plain,
! [X361,X362,X363,X364] :
( ~ cyclic(X361,X362,X363,X364)
| cyclic(X361,X363,X362,X364) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_70,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_66,c_0_42]) ).
cnf(c_0_71,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_68])]) ).
fof(c_0_72,plain,
! [X357,X358,X359,X360] :
( ~ cyclic(X357,X358,X359,X360)
| cyclic(X357,X358,X360,X359) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_73,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_74,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_58])]),c_0_71])]) ).
fof(c_0_75,plain,
! [X365,X366,X367,X368] :
( ~ cyclic(X365,X366,X367,X368)
| cyclic(X366,X365,X367,X368) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_76,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_77,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
fof(c_0_78,plain,
! [X155,X156,X157,X158,X159] :
( ~ circle(X158,X155,X156,X157)
| ~ coll(X159,X156,X157)
| ~ eqangle(X155,X156,X155,X157,X158,X156,X158,X159)
| midp(X159,X156,X157) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])]) ).
fof(c_0_79,plain,
! [X374,X375,X376,X377] :
( ~ cyclic(X374,X375,X376,X377)
| eqangle(X376,X374,X376,X375,X377,X374,X377,X375) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
fof(c_0_80,plain,
! [X369,X370,X371,X372,X373] :
( ~ cyclic(X369,X370,X371,X372)
| ~ cyclic(X369,X370,X371,X373)
| cyclic(X370,X371,X372,X373) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_81,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_82,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
fof(c_0_83,plain,
! [X75,X76,X77,X78,X79] :
( ~ midp(X78,X75,X76)
| ~ para(X78,X79,X76,X77)
| ~ coll(X79,X75,X77)
| midp(X79,X75,X77) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_84,plain,
( midp(X5,X3,X4)
| ~ circle(X1,X2,X3,X4)
| ~ coll(X5,X3,X4)
| ~ eqangle(X2,X3,X2,X4,X1,X3,X1,X5) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_85,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_86,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_87,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
fof(c_0_88,plain,
! [X329,X330,X331] :
( ~ cong(X331,X329,X331,X330)
| eqangle(X331,X329,X329,X330,X329,X330,X331,X330) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_89,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_83]) ).
cnf(c_0_90,plain,
( midp(X1,X2,X1)
| ~ cyclic(X2,X1,X3,X4)
| ~ circle(X4,X3,X2,X1)
| ~ coll(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_91,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_87])]) ).
fof(c_0_92,plain,
! [X32,X33,X34,X35] :
( ~ para(X32,X33,X34,X35)
| para(X32,X33,X35,X34) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_93,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_94,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_71])]) ).
cnf(c_0_95,plain,
( midp(X1,X2,X1)
| ~ circle(X3,X4,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_65])]),c_0_91])]) ).
cnf(c_0_96,negated_conjecture,
circle(esk1_0,esk3_0,esk5_0,esk9_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_97,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_98,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_47,c_0_93]) ).
fof(c_0_99,plain,
! [X332,X333,X334] :
( ~ midp(X334,X333,X332)
| midp(X334,X332,X333) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_100,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_94,c_0_58]) ).
cnf(c_0_101,negated_conjecture,
midp(esk9_0,esk5_0,esk9_0),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_102,plain,
( para(X1,X1,X2,X1)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
fof(c_0_103,plain,
! [X335,X336,X337] :
( ~ midp(X335,X336,X337)
| cong(X335,X336,X335,X337) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_104,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_105,negated_conjecture,
midp(X1,esk5_0,X1),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_106,plain,
( midp(X1,X2,X1)
| ~ cong(X1,X1,X1,X3)
| ~ midp(X1,X2,X3)
| ~ coll(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_102]) ).
cnf(c_0_107,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_108,negated_conjecture,
midp(X1,X1,esk5_0),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
fof(c_0_109,plain,
! [X85,X86,X87,X88,X89] :
( ~ midp(X89,X85,X86)
| ~ para(X85,X87,X86,X88)
| ~ para(X85,X88,X86,X87)
| midp(X89,X87,X88) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_110,plain,
( midp(X1,X2,X1)
| ~ cong(X1,X1,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_65])]) ).
cnf(c_0_111,negated_conjecture,
cong(X1,X1,X1,esk5_0),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
fof(c_0_112,plain,
! [X101,X102,X103,X104,X105,X106,X107,X108] :
( ~ eqangle(X101,X102,X103,X104,X105,X106,X107,X108)
| ~ para(X105,X106,X107,X108)
| para(X101,X102,X103,X104) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
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_109]) ).
cnf(c_0_114,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X1,X2,esk5_0) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_115,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_112]) ).
cnf(c_0_116,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_97,c_0_58]) ).
cnf(c_0_117,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_58]),c_0_58])]) ).
cnf(c_0_118,negated_conjecture,
midp(X1,X1,X1),
inference(spm,[status(thm)],[c_0_114,c_0_108]) ).
cnf(c_0_119,plain,
( para(X1,X2,X1,X3)
| ~ cyclic(X2,X3,X1,X4)
| ~ para(X4,X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_115,c_0_85]) ).
cnf(c_0_120,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_94,c_0_116]) ).
cnf(c_0_121,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_122,plain,
( para(X1,X2,X1,X3)
| ~ para(X4,X2,X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_91])]) ).
cnf(c_0_123,negated_conjecture,
midp(X1,X1,X2),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_124,plain,
( para(X1,X2,X1,X3)
| ~ cong(X2,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_122,c_0_98]) ).
cnf(c_0_125,negated_conjecture,
cong(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_107,c_0_123]) ).
fof(c_0_126,plain,
! [X70,X71,X72,X73,X74] :
( ~ midp(X73,X70,X71)
| ~ midp(X74,X70,X72)
| para(X73,X74,X71,X72) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_127,plain,
para(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_125])]) ).
cnf(c_0_128,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_100,c_0_121]) ).
cnf(c_0_129,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_130,plain,
midp(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_127]),c_0_128])]) ).
cnf(c_0_131,negated_conjecture,
~ para(esk1_0,esk4_0,esk2_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_132,plain,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_130]),c_0_130])]) ).
cnf(c_0_133,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_132])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GEO648+1 : TPTP v8.1.2. Released v7.5.0.
% 0.02/0.12 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n003.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 2400
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Oct 3 06:17:18 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 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/tmp/tmp.80QZrRpAju/E---3.1_20547.p
% 2.64/0.76 # Version: 3.1pre001
% 2.64/0.76 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.64/0.76 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.64/0.76 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.64/0.76 # Starting new_bool_3 with 300s (1) cores
% 2.64/0.76 # Starting new_bool_1 with 300s (1) cores
% 2.64/0.76 # Starting sh5l with 300s (1) cores
% 2.64/0.76 # new_bool_3 with pid 20626 completed with status 0
% 2.64/0.76 # Result found by new_bool_3
% 2.64/0.76 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.64/0.76 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.64/0.76 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.64/0.76 # Starting new_bool_3 with 300s (1) cores
% 2.64/0.76 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.64/0.76 # Search class: FGUSF-FFLM33-SFFFFFNN
% 2.64/0.76 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.64/0.76 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.64/0.76 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 2.64/0.76 # SAT001_MinMin_p005000_rr_RG with pid 20629 completed with status 0
% 2.64/0.76 # Result found by SAT001_MinMin_p005000_rr_RG
% 2.64/0.76 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.64/0.76 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.64/0.76 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.64/0.76 # Starting new_bool_3 with 300s (1) cores
% 2.64/0.76 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.64/0.76 # Search class: FGUSF-FFLM33-SFFFFFNN
% 2.64/0.76 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.64/0.76 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.64/0.76 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 2.64/0.76 # Preprocessing time : 0.002 s
% 2.64/0.76 # Presaturation interreduction done
% 2.64/0.76
% 2.64/0.76 # Proof found!
% 2.64/0.76 # SZS status Theorem
% 2.64/0.76 # SZS output start CNFRefutation
% See solution above
% 2.64/0.76 # Parsed axioms : 95
% 2.64/0.76 # Removed by relevancy pruning/SinE : 21
% 2.64/0.76 # Initial clauses : 99
% 2.64/0.76 # Removed in clause preprocessing : 0
% 2.64/0.76 # Initial clauses in saturation : 99
% 2.64/0.76 # Processed clauses : 3033
% 2.64/0.76 # ...of these trivial : 360
% 2.64/0.76 # ...subsumed : 225
% 2.64/0.76 # ...remaining for further processing : 2448
% 2.64/0.76 # Other redundant clauses eliminated : 0
% 2.64/0.76 # Clauses deleted for lack of memory : 0
% 2.64/0.76 # Backward-subsumed : 35
% 2.64/0.76 # Backward-rewritten : 2202
% 2.64/0.76 # Generated clauses : 15573
% 2.64/0.76 # ...of the previous two non-redundant : 10286
% 2.64/0.76 # ...aggressively subsumed : 0
% 2.64/0.76 # Contextual simplify-reflections : 22
% 2.64/0.76 # Paramodulations : 15573
% 2.64/0.76 # Factorizations : 0
% 2.64/0.76 # NegExts : 0
% 2.64/0.76 # Equation resolutions : 0
% 2.64/0.76 # Total rewrite steps : 8881
% 2.64/0.76 # Propositional unsat checks : 0
% 2.64/0.76 # Propositional check models : 0
% 2.64/0.76 # Propositional check unsatisfiable : 0
% 2.64/0.76 # Propositional clauses : 0
% 2.64/0.76 # Propositional clauses after purity: 0
% 2.64/0.76 # Propositional unsat core size : 0
% 2.64/0.76 # Propositional preprocessing time : 0.000
% 2.64/0.76 # Propositional encoding time : 0.000
% 2.64/0.76 # Propositional solver time : 0.000
% 2.64/0.76 # Success case prop preproc time : 0.000
% 2.64/0.76 # Success case prop encoding time : 0.000
% 2.64/0.76 # Success case prop solver time : 0.000
% 2.64/0.76 # Current number of processed clauses : 113
% 2.64/0.76 # Positive orientable unit clauses : 69
% 2.64/0.76 # Positive unorientable unit clauses: 0
% 2.64/0.76 # Negative unit clauses : 0
% 2.64/0.76 # Non-unit-clauses : 44
% 2.64/0.76 # Current number of unprocessed clauses: 7011
% 2.64/0.76 # ...number of literals in the above : 21103
% 2.64/0.76 # Current number of archived formulas : 0
% 2.64/0.76 # Current number of archived clauses : 2335
% 2.64/0.76 # Clause-clause subsumption calls (NU) : 90666
% 2.64/0.76 # Rec. Clause-clause subsumption calls : 86759
% 2.64/0.76 # Non-unit clause-clause subsumptions : 282
% 2.64/0.76 # Unit Clause-clause subsumption calls : 14210
% 2.64/0.76 # Rewrite failures with RHS unbound : 0
% 2.64/0.76 # BW rewrite match attempts : 13689
% 2.64/0.76 # BW rewrite match successes : 1693
% 2.64/0.76 # Condensation attempts : 0
% 2.64/0.76 # Condensation successes : 0
% 2.64/0.76 # Termbank termtop insertions : 190227
% 2.64/0.76
% 2.64/0.76 # -------------------------------------------------
% 2.64/0.76 # User time : 0.305 s
% 2.64/0.76 # System time : 0.008 s
% 2.64/0.76 # Total time : 0.313 s
% 2.64/0.76 # Maximum resident set size: 2352 pages
% 2.64/0.76
% 2.64/0.76 # -------------------------------------------------
% 2.64/0.76 # User time : 0.308 s
% 2.64/0.76 # System time : 0.011 s
% 2.64/0.76 # Total time : 0.318 s
% 2.64/0.76 # Maximum resident set size: 1876 pages
% 2.64/0.76 % E---3.1 exiting
% 2.64/0.76 % E---3.1 exiting
%------------------------------------------------------------------------------