TSTP Solution File: GEO575+1 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GEO575+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n008.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 17:35:17 EDT 2023
% Result : Theorem 2.54s 0.78s
% Output : CNFRefutation 2.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 27
% Syntax : Number of formulae : 128 ( 29 unt; 0 def)
% Number of atoms : 288 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 262 ( 102 ~; 99 |; 33 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 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 : 488 ( 30 sgn; 258 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL214037,conjecture,
! [X1,X2,X3,X8,X14,X19,X20,X21,X22] :
( ( circle(X8,X1,X2,X3)
& perp(X1,X2,X3,X14)
& perp(X1,X3,X2,X14)
& perp(X2,X3,X1,X14)
& circle(X8,X3,X19,X21)
& coll(X19,X3,X14)
& circle(X8,X1,X20,X22)
& coll(X20,X1,X14) )
=> cong(X2,X20,X2,X19) ),
file('/export/starexec/sandbox/tmp/tmp.VsGRbfnGNh/E---3.1_31891.p',exemplo6GDDFULL214037) ).
fof(ruleD7,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.VsGRbfnGNh/E---3.1_31891.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.VsGRbfnGNh/E---3.1_31891.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.VsGRbfnGNh/E---3.1_31891.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.VsGRbfnGNh/E---3.1_31891.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.VsGRbfnGNh/E---3.1_31891.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.VsGRbfnGNh/E---3.1_31891.p',ruleD5) ).
fof(ruleD8,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.VsGRbfnGNh/E---3.1_31891.p',ruleD8) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.VsGRbfnGNh/E---3.1_31891.p',ruleD66) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.VsGRbfnGNh/E---3.1_31891.p',ruleD2) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/tmp/tmp.VsGRbfnGNh/E---3.1_31891.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.VsGRbfnGNh/E---3.1_31891.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.VsGRbfnGNh/E---3.1_31891.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.VsGRbfnGNh/E---3.1_31891.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.VsGRbfnGNh/E---3.1_31891.p',ruleD14) ).
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.VsGRbfnGNh/E---3.1_31891.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.VsGRbfnGNh/E---3.1_31891.p',ruleD41) ).
fof(ruleD16,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X2,X1,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.VsGRbfnGNh/E---3.1_31891.p',ruleD16) ).
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.VsGRbfnGNh/E---3.1_31891.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.VsGRbfnGNh/E---3.1_31891.p',ruleD45) ).
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/tmp/tmp.VsGRbfnGNh/E---3.1_31891.p',ruleD20) ).
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.VsGRbfnGNh/E---3.1_31891.p',ruleD46) ).
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.VsGRbfnGNh/E---3.1_31891.p',ruleD73) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.VsGRbfnGNh/E---3.1_31891.p',ruleD68) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.VsGRbfnGNh/E---3.1_31891.p',ruleD4) ).
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.VsGRbfnGNh/E---3.1_31891.p',ruleD64) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.VsGRbfnGNh/E---3.1_31891.p',ruleD11) ).
fof(c_0_27,negated_conjecture,
~ ! [X1,X2,X3,X8,X14,X19,X20,X21,X22] :
( ( circle(X8,X1,X2,X3)
& perp(X1,X2,X3,X14)
& perp(X1,X3,X2,X14)
& perp(X2,X3,X1,X14)
& circle(X8,X3,X19,X21)
& coll(X19,X3,X14)
& circle(X8,X1,X20,X22)
& coll(X20,X1,X14) )
=> cong(X2,X20,X2,X19) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL214037]) ).
fof(c_0_28,plain,
! [X207,X208,X209,X210] :
( ~ perp(X207,X208,X209,X210)
| perp(X207,X208,X210,X209) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])]) ).
fof(c_0_29,negated_conjecture,
( circle(esk4_0,esk1_0,esk2_0,esk3_0)
& perp(esk1_0,esk2_0,esk3_0,esk5_0)
& perp(esk1_0,esk3_0,esk2_0,esk5_0)
& perp(esk2_0,esk3_0,esk1_0,esk5_0)
& circle(esk4_0,esk3_0,esk6_0,esk8_0)
& coll(esk6_0,esk3_0,esk5_0)
& circle(esk4_0,esk1_0,esk7_0,esk9_0)
& coll(esk7_0,esk1_0,esk5_0)
& ~ cong(esk2_0,esk7_0,esk2_0,esk6_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
fof(c_0_30,plain,
! [X257,X258,X259,X260,X261,X262,X263,X264] :
( ~ eqangle(X257,X258,X259,X260,X261,X262,X263,X264)
| eqangle(X259,X260,X257,X258,X263,X264,X261,X262) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_31,plain,
! [X299,X300,X301,X302,X303,X304] :
( ~ para(X299,X300,X301,X302)
| eqangle(X299,X300,X303,X304,X301,X302,X303,X304) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_32,plain,
! [X215,X216,X217,X218,X219,X220] :
( ~ perp(X215,X216,X217,X218)
| ~ perp(X217,X218,X219,X220)
| para(X215,X216,X219,X220) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
cnf(c_0_33,plain,
( perp(X1,X2,X4,X3)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,negated_conjecture,
perp(esk1_0,esk2_0,esk3_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_35,plain,
! [X293,X294,X295,X296,X297,X298] :
( ~ eqangle(X293,X294,X297,X298,X295,X296,X297,X298)
| para(X293,X294,X295,X296) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_36,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_30]) ).
cnf(c_0_37,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_38,plain,
! [X342,X343,X344,X345] :
( ~ para(X342,X343,X344,X345)
| para(X344,X345,X342,X343) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_39,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,negated_conjecture,
perp(esk1_0,esk2_0,esk5_0,esk3_0),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
fof(c_0_41,plain,
! [X211,X212,X213,X214] :
( ~ perp(X211,X212,X213,X214)
| perp(X213,X214,X211,X212) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
cnf(c_0_42,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_43,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_44,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_45,negated_conjecture,
( para(X1,X2,esk5_0,esk3_0)
| ~ perp(X1,X2,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_46,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_47,plain,
! [X105,X106,X107] :
( ~ para(X105,X106,X105,X107)
| coll(X105,X106,X107) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_48,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_49,negated_conjecture,
( para(esk5_0,esk3_0,X1,X2)
| ~ perp(X1,X2,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_50,negated_conjecture,
perp(esk5_0,esk3_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_46,c_0_40]) ).
fof(c_0_51,plain,
! [X93,X94,X95] :
( ~ coll(X93,X94,X95)
| coll(X94,X93,X95) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_52,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_53,negated_conjecture,
para(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50])]) ).
fof(c_0_54,plain,
! [X90,X91,X92] :
( ~ coll(X90,X91,X92)
| coll(X90,X92,X91) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_55,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_56,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
fof(c_0_57,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_58,plain,
! [X96,X97,X98,X99] :
( ~ coll(X96,X97,X98)
| ~ coll(X96,X97,X99)
| coll(X98,X99,X96) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_59,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_60,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_61,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_57]) ).
cnf(c_0_62,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_63,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
fof(c_0_64,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_65,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_37]) ).
cnf(c_0_66,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_63])]) ).
fof(c_0_67,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_68,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_69,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_53])]),c_0_66])]) ).
fof(c_0_70,plain,
! [X174,X175,X176,X177,X178] :
( ~ circle(X177,X174,X175,X176)
| ~ coll(X178,X175,X176)
| ~ eqangle(X174,X175,X174,X176,X177,X175,X177,X178)
| midp(X178,X175,X176) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])]) ).
fof(c_0_71,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_72,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_73,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_74,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_75,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_70]) ).
cnf(c_0_76,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
fof(c_0_77,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_78,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_79,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
fof(c_0_80,plain,
! [X100,X101,X102,X103,X104] :
( ~ midp(X103,X100,X101)
| ~ para(X103,X104,X101,X102)
| ~ coll(X104,X100,X102)
| midp(X104,X100,X102) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_81,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_75,c_0_76]) ).
cnf(c_0_82,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_83,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_84,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_80]) ).
cnf(c_0_85,plain,
( midp(X1,X2,X1)
| ~ cyclic(X2,X1,X3,X4)
| ~ circle(X4,X3,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_60])]) ).
cnf(c_0_86,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_83])]) ).
fof(c_0_87,plain,
! [X265,X266,X267,X268,X269,X270,X271,X272] :
( ~ eqangle(X265,X266,X267,X268,X269,X270,X271,X272)
| eqangle(X269,X270,X271,X272,X265,X266,X267,X268) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).
fof(c_0_88,plain,
! [X46,X47,X48] :
( ~ cong(X48,X46,X48,X47)
| eqangle(X48,X46,X46,X47,X46,X47,X48,X47) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_89,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_66])]) ).
cnf(c_0_90,plain,
( midp(X1,X2,X1)
| ~ circle(X3,X4,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_86])]) ).
cnf(c_0_91,negated_conjecture,
circle(esk4_0,esk1_0,esk7_0,esk9_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_92,plain,
! [X305,X306,X307,X308,X309,X310,X311,X312] :
( ~ eqangle(X305,X306,X307,X308,X309,X310,X311,X312)
| ~ para(X309,X310,X311,X312)
| para(X305,X306,X307,X308) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
cnf(c_0_93,plain,
( eqangle(X5,X6,X7,X8,X1,X2,X3,X4)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_94,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
fof(c_0_95,plain,
! [X67,X68,X69] :
( ~ midp(X67,X68,X69)
| cong(X67,X68,X67,X69) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_96,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_89,c_0_53]) ).
cnf(c_0_97,negated_conjecture,
midp(esk9_0,esk7_0,esk9_0),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
fof(c_0_98,plain,
! [X338,X339,X340,X341] :
( ~ para(X338,X339,X340,X341)
| para(X338,X339,X341,X340) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_99,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_92]) ).
cnf(c_0_100,plain,
( eqangle(X1,X2,X3,X2,X3,X1,X1,X2)
| ~ cong(X3,X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_101,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_102,negated_conjecture,
midp(X1,esk7_0,X1),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_103,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
fof(c_0_104,plain,
! [X326,X327,X328,X329,X330] :
( ~ midp(X330,X326,X327)
| ~ para(X326,X328,X327,X329)
| ~ para(X326,X329,X327,X328)
| midp(X330,X328,X329) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_105,plain,
( para(X1,X2,X3,X2)
| ~ cong(X3,X1,X3,X2)
| ~ para(X3,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_106,negated_conjecture,
cong(X1,esk7_0,X1,X1),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_107,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_103,c_0_53]) ).
cnf(c_0_108,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_104]) ).
cnf(c_0_109,negated_conjecture,
para(esk7_0,X1,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107])]) ).
cnf(c_0_110,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_53]),c_0_53])]) ).
cnf(c_0_111,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(esk7_0,X2,X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_109]) ).
cnf(c_0_112,negated_conjecture,
midp(esk7_0,X1,X1),
inference(spm,[status(thm)],[c_0_110,c_0_102]) ).
fof(c_0_113,plain,
! [X313,X314,X315] :
( ~ midp(X315,X314,X313)
| midp(X315,X313,X314) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_114,negated_conjecture,
midp(X1,X1,X1),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_115,plain,
( para(X1,X2,X1,X3)
| ~ cyclic(X2,X3,X1,X4)
| ~ para(X4,X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_99,c_0_76]) ).
cnf(c_0_116,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_117,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_96,c_0_114]) ).
cnf(c_0_118,plain,
( para(X1,X2,X1,X3)
| ~ para(X4,X2,X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_86])]) ).
cnf(c_0_119,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_94]) ).
cnf(c_0_120,negated_conjecture,
midp(X1,X1,X2),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_121,plain,
( para(X1,X2,X1,X3)
| ~ cong(X2,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_122,negated_conjecture,
cong(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_101,c_0_120]) ).
cnf(c_0_123,plain,
para(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_122])]) ).
cnf(c_0_124,plain,
midp(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_123]),c_0_117])]) ).
cnf(c_0_125,negated_conjecture,
~ cong(esk2_0,esk7_0,esk2_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_126,plain,
cong(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_124])]) ).
cnf(c_0_127,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_126])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : GEO575+1 : TPTP v8.1.2. Released v7.5.0.
% 0.06/0.14 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 2400
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Tue Oct 3 06:17:13 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.18/0.48 Running first-order model finding
% 0.18/0.48 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.VsGRbfnGNh/E---3.1_31891.p
% 2.54/0.78 # Version: 3.1pre001
% 2.54/0.78 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.54/0.78 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.54/0.78 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.54/0.78 # Starting new_bool_3 with 300s (1) cores
% 2.54/0.78 # Starting new_bool_1 with 300s (1) cores
% 2.54/0.78 # Starting sh5l with 300s (1) cores
% 2.54/0.78 # new_bool_3 with pid 31969 completed with status 0
% 2.54/0.78 # Result found by new_bool_3
% 2.54/0.78 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.54/0.78 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.54/0.78 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.54/0.78 # Starting new_bool_3 with 300s (1) cores
% 2.54/0.78 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.54/0.78 # Search class: FGUSF-FFLM33-SFFFFFNN
% 2.54/0.78 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.54/0.78 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.54/0.78 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 2.54/0.78 # SAT001_MinMin_p005000_rr_RG with pid 31974 completed with status 0
% 2.54/0.78 # Result found by SAT001_MinMin_p005000_rr_RG
% 2.54/0.78 # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.54/0.78 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.54/0.78 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.54/0.78 # Starting new_bool_3 with 300s (1) cores
% 2.54/0.78 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.54/0.78 # Search class: FGUSF-FFLM33-SFFFFFNN
% 2.54/0.78 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.54/0.78 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.54/0.78 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 2.54/0.78 # Preprocessing time : 0.003 s
% 2.54/0.78 # Presaturation interreduction done
% 2.54/0.78
% 2.54/0.78 # Proof found!
% 2.54/0.78 # SZS status Theorem
% 2.54/0.78 # SZS output start CNFRefutation
% See solution above
% 2.54/0.78 # Parsed axioms : 95
% 2.54/0.78 # Removed by relevancy pruning/SinE : 21
% 2.54/0.78 # Initial clauses : 101
% 2.54/0.78 # Removed in clause preprocessing : 0
% 2.54/0.78 # Initial clauses in saturation : 101
% 2.54/0.78 # Processed clauses : 2937
% 2.54/0.78 # ...of these trivial : 217
% 2.54/0.78 # ...subsumed : 139
% 2.54/0.78 # ...remaining for further processing : 2581
% 2.54/0.78 # Other redundant clauses eliminated : 0
% 2.54/0.78 # Clauses deleted for lack of memory : 0
% 2.54/0.78 # Backward-subsumed : 31
% 2.54/0.78 # Backward-rewritten : 2290
% 2.54/0.78 # Generated clauses : 15949
% 2.54/0.78 # ...of the previous two non-redundant : 10791
% 2.54/0.78 # ...aggressively subsumed : 0
% 2.54/0.78 # Contextual simplify-reflections : 15
% 2.54/0.78 # Paramodulations : 15949
% 2.54/0.78 # Factorizations : 0
% 2.54/0.78 # NegExts : 0
% 2.54/0.78 # Equation resolutions : 0
% 2.54/0.78 # Total rewrite steps : 8625
% 2.54/0.78 # Propositional unsat checks : 0
% 2.54/0.78 # Propositional check models : 0
% 2.54/0.78 # Propositional check unsatisfiable : 0
% 2.54/0.78 # Propositional clauses : 0
% 2.54/0.78 # Propositional clauses after purity: 0
% 2.54/0.78 # Propositional unsat core size : 0
% 2.54/0.78 # Propositional preprocessing time : 0.000
% 2.54/0.78 # Propositional encoding time : 0.000
% 2.54/0.78 # Propositional solver time : 0.000
% 2.54/0.78 # Success case prop preproc time : 0.000
% 2.54/0.78 # Success case prop encoding time : 0.000
% 2.54/0.78 # Success case prop solver time : 0.000
% 2.54/0.78 # Current number of processed clauses : 160
% 2.54/0.78 # Positive orientable unit clauses : 131
% 2.54/0.78 # Positive unorientable unit clauses: 0
% 2.54/0.78 # Negative unit clauses : 0
% 2.54/0.78 # Non-unit-clauses : 29
% 2.54/0.78 # Current number of unprocessed clauses: 6895
% 2.54/0.78 # ...number of literals in the above : 21024
% 2.54/0.78 # Current number of archived formulas : 0
% 2.54/0.78 # Current number of archived clauses : 2421
% 2.54/0.78 # Clause-clause subsumption calls (NU) : 103041
% 2.54/0.78 # Rec. Clause-clause subsumption calls : 95514
% 2.54/0.78 # Non-unit clause-clause subsumptions : 185
% 2.54/0.78 # Unit Clause-clause subsumption calls : 143766
% 2.54/0.78 # Rewrite failures with RHS unbound : 0
% 2.54/0.78 # BW rewrite match attempts : 13096
% 2.54/0.78 # BW rewrite match successes : 1851
% 2.54/0.78 # Condensation attempts : 0
% 2.54/0.78 # Condensation successes : 0
% 2.54/0.78 # Termbank termtop insertions : 187914
% 2.54/0.78
% 2.54/0.78 # -------------------------------------------------
% 2.54/0.78 # User time : 0.277 s
% 2.54/0.78 # System time : 0.011 s
% 2.54/0.78 # Total time : 0.288 s
% 2.54/0.78 # Maximum resident set size: 2360 pages
% 2.54/0.78
% 2.54/0.78 # -------------------------------------------------
% 2.54/0.78 # User time : 0.281 s
% 2.54/0.78 # System time : 0.013 s
% 2.54/0.78 # Total time : 0.293 s
% 2.54/0.78 # Maximum resident set size: 1872 pages
% 2.54/0.78 % E---3.1 exiting
%------------------------------------------------------------------------------