TSTP Solution File: GEO608+1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : GEO608+1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 19:59:48 EDT 2024
% Result : Theorem 1.75s 0.68s
% Output : CNFRefutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 28
% Syntax : Number of formulae : 130 ( 30 unt; 0 def)
% Number of atoms : 294 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 270 ( 106 ~; 103 |; 32 &)
% ( 0 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 11 con; 0-4 aty)
% Number of variables : 483 ( 29 sgn 262 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD9,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( perp(X1,X2,X3,X4)
& perp(X3,X4,X5,X6) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(ruleX11,axiom,
! [X1,X2,X3,X8] :
? [X9] :
( circle(X8,X1,X2,X3)
=> perp(X9,X1,X1,X8) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
fof(ruleD8,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(exemplo6GDDFULL618070,conjecture,
! [X9,X1,X2,X8,X19,X20,X21,X22,X23,X24,X25] :
( ( midp(X8,X2,X1)
& circle(X8,X1,X22,X23)
& coll(X19,X9,X1)
& circle(X8,X1,X19,X24)
& coll(X20,X9,X2)
& circle(X8,X1,X20,X25)
& circle(X21,X9,X19,X20) )
=> perp(X8,X19,X19,X21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618070) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(ruleD19,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X3,X4,X1,X2,X11,X12,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(ruleD40,axiom,
! [X1,X2,X3,X4,X9,X10] :
( para(X1,X2,X3,X4)
=> eqangle(X1,X2,X9,X10,X3,X4,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(ruleD5,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(ruleD39,axiom,
! [X1,X2,X3,X4,X9,X10] :
( eqangle(X1,X2,X9,X10,X3,X4,X9,X10)
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X3)
& coll(X1,X2,X4) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(ruleD15,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X3,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(ruleD14,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
fof(ruleD16,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X2,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
fof(ruleD45,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& para(X5,X6,X2,X3)
& coll(X6,X1,X3) )
=> midp(X6,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(ruleD73,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
& para(X9,X10,X11,X12) )
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(ruleD46,axiom,
! [X1,X2,X8] :
( cong(X8,X1,X8,X2)
=> eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(ruleD64,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& para(X1,X3,X2,X4)
& para(X1,X4,X2,X3) )
=> midp(X7,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(ruleD53,axiom,
! [X1,X2,X3,X8] :
( ( circle(X8,X1,X2,X3)
& coll(X8,X1,X3) )
=> perp(X1,X2,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
fof(ruleD12,axiom,
! [X1,X2,X3,X8] :
( ( cong(X8,X1,X8,X2)
& cong(X8,X1,X8,X3) )
=> circle(X8,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
fof(c_0_28,plain,
! [X45,X46,X47,X48,X49,X50] :
( ~ perp(X45,X46,X47,X48)
| ~ perp(X47,X48,X49,X50)
| para(X45,X46,X49,X50) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])])]) ).
fof(c_0_29,plain,
! [X156,X157,X158,X159] :
( ~ circle(X159,X156,X157,X158)
| perp(esk21_4(X156,X157,X158,X159),X156,X156,X159) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])])]) ).
fof(c_0_30,plain,
! [X41,X42,X43,X44] :
( ~ perp(X41,X42,X43,X44)
| perp(X43,X44,X41,X42) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])])]) ).
cnf(c_0_31,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_32,plain,
( perp(esk21_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_33,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_34,negated_conjecture,
~ ! [X9,X1,X2,X8,X19,X20,X21,X22,X23,X24,X25] :
( ( midp(X8,X2,X1)
& circle(X8,X1,X22,X23)
& coll(X19,X9,X1)
& circle(X8,X1,X19,X24)
& coll(X20,X9,X2)
& circle(X8,X1,X20,X25)
& circle(X21,X9,X19,X20) )
=> perp(X8,X19,X19,X21) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL618070]) ).
cnf(c_0_35,plain,
( para(X1,X2,X3,X4)
| ~ circle(X4,X3,X5,X6)
| ~ perp(X1,X2,esk21_4(X3,X5,X6,X4),X3) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,plain,
( perp(X1,X2,esk21_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_33,c_0_32]) ).
fof(c_0_37,negated_conjecture,
( midp(esk4_0,esk3_0,esk2_0)
& circle(esk4_0,esk2_0,esk8_0,esk9_0)
& coll(esk5_0,esk1_0,esk2_0)
& circle(esk4_0,esk2_0,esk5_0,esk10_0)
& coll(esk6_0,esk1_0,esk3_0)
& circle(esk4_0,esk2_0,esk6_0,esk11_0)
& circle(esk7_0,esk1_0,esk5_0,esk6_0)
& ~ perp(esk4_0,esk5_0,esk5_0,esk7_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])]) ).
fof(c_0_38,plain,
! [X262,X263,X264,X265] :
( ~ para(X262,X263,X264,X265)
| para(X262,X263,X265,X264) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])])]) ).
cnf(c_0_39,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,negated_conjecture,
circle(esk7_0,esk1_0,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_41,plain,
! [X321,X322,X323,X324,X325,X326,X327,X328] :
( ~ eqangle(X321,X322,X323,X324,X325,X326,X327,X328)
| eqangle(X323,X324,X321,X322,X327,X328,X325,X326) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).
fof(c_0_42,plain,
! [X282,X283,X284,X285,X286,X287] :
( ~ para(X282,X283,X284,X285)
| eqangle(X282,X283,X286,X287,X284,X285,X286,X287) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])]) ).
fof(c_0_43,plain,
! [X266,X267,X268,X269] :
( ~ para(X266,X267,X268,X269)
| para(X268,X269,X266,X267) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])])]) ).
cnf(c_0_44,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_45,negated_conjecture,
para(esk1_0,esk7_0,esk1_0,esk7_0),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_46,plain,
! [X276,X277,X278,X279,X280,X281] :
( ~ eqangle(X276,X277,X280,X281,X278,X279,X280,X281)
| para(X276,X277,X278,X279) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])]) ).
cnf(c_0_47,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_41]) ).
cnf(c_0_48,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[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(esk1_0,esk7_0,esk7_0,esk1_0),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_51,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_52,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_53,negated_conjecture,
para(esk7_0,esk1_0,esk1_0,esk7_0),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
fof(c_0_54,plain,
! [X198,X199,X200] :
( ~ para(X198,X199,X198,X200)
| coll(X198,X199,X200) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])])]) ).
cnf(c_0_55,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_56,negated_conjecture,
para(esk7_0,esk1_0,esk7_0,esk1_0),
inference(spm,[status(thm)],[c_0_44,c_0_53]) ).
fof(c_0_57,plain,
! [X183,X184,X185] :
( ~ coll(X183,X184,X185)
| coll(X184,X183,X185) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])])]) ).
cnf(c_0_58,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_59,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
fof(c_0_60,plain,
! [X180,X181,X182] :
( ~ coll(X180,X181,X182)
| coll(X180,X182,X181) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])])]) ).
cnf(c_0_61,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_62,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
fof(c_0_63,plain,
! [X387,X388,X389,X390] :
( ~ eqangle(X389,X387,X389,X388,X390,X387,X390,X388)
| ~ coll(X389,X390,X388)
| cyclic(X387,X388,X389,X390) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])])]) ).
fof(c_0_64,plain,
! [X186,X187,X188,X189] :
( ~ coll(X186,X187,X188)
| ~ coll(X186,X187,X189)
| coll(X188,X189,X186) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])])]) ).
cnf(c_0_65,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_66,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_67,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_63]) ).
cnf(c_0_68,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_69,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
fof(c_0_70,plain,
! [X366,X367,X368,X369] :
( ~ cyclic(X366,X367,X368,X369)
| cyclic(X366,X368,X367,X369) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])])]) ).
cnf(c_0_71,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_67,c_0_48]) ).
cnf(c_0_72,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_69])]) ).
fof(c_0_73,plain,
! [X147,X148,X149,X150,X151] :
( ~ circle(X150,X147,X148,X149)
| ~ coll(X151,X148,X149)
| ~ eqangle(X147,X148,X147,X149,X150,X148,X150,X151)
| midp(X151,X148,X149) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])])]) ).
fof(c_0_74,plain,
! [X379,X380,X381,X382] :
( ~ cyclic(X379,X380,X381,X382)
| eqangle(X381,X379,X381,X380,X382,X379,X382,X380) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])])]) ).
fof(c_0_75,plain,
! [X362,X363,X364,X365] :
( ~ cyclic(X362,X363,X364,X365)
| cyclic(X362,X363,X365,X364) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])])]) ).
cnf(c_0_76,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_77,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_59])]),c_0_72])]) ).
cnf(c_0_78,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_73]) ).
cnf(c_0_79,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
fof(c_0_80,plain,
! [X370,X371,X372,X373] :
( ~ cyclic(X370,X371,X372,X373)
| cyclic(X371,X370,X372,X373) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])])]) ).
cnf(c_0_81,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_82,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
fof(c_0_83,plain,
! [X190,X191,X192,X193,X194] :
( ~ midp(X193,X190,X191)
| ~ para(X193,X194,X191,X192)
| ~ coll(X194,X190,X192)
| midp(X194,X190,X192) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])])]) ).
cnf(c_0_84,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_78,c_0_79]) ).
cnf(c_0_85,negated_conjecture,
circle(esk4_0,esk2_0,esk6_0,esk11_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_86,plain,
! [X374,X375,X376,X377,X378] :
( ~ cyclic(X374,X375,X376,X377)
| ~ cyclic(X374,X375,X376,X378)
| cyclic(X375,X376,X377,X378) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])])]) ).
cnf(c_0_87,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_88,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
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,negated_conjecture,
( midp(esk11_0,esk6_0,esk11_0)
| ~ cyclic(esk6_0,esk11_0,esk2_0,esk4_0)
| ~ coll(esk11_0,esk6_0,esk11_0) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_91,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_92,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_93,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_72])]) ).
cnf(c_0_94,negated_conjecture,
( midp(esk11_0,esk6_0,esk11_0)
| ~ cyclic(esk6_0,esk11_0,esk2_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_66])]) ).
cnf(c_0_95,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_92])]) ).
fof(c_0_96,plain,
! [X234,X235,X236] :
( ~ midp(X236,X235,X234)
| midp(X236,X234,X235) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])])]) ).
cnf(c_0_97,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_93,c_0_59]) ).
cnf(c_0_98,negated_conjecture,
midp(esk11_0,esk6_0,esk11_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_95])]) ).
fof(c_0_99,plain,
! [X288,X289,X290,X291,X292,X293,X294,X295] :
( ~ eqangle(X288,X289,X290,X291,X292,X293,X294,X295)
| ~ para(X292,X293,X294,X295)
| para(X288,X289,X290,X291) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])]) ).
fof(c_0_100,plain,
! [X310,X311,X312] :
( ~ cong(X312,X310,X312,X311)
| eqangle(X312,X310,X310,X311,X310,X311,X312,X311) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])])]) ).
fof(c_0_101,plain,
! [X252,X253,X254] :
( ~ midp(X252,X253,X254)
| cong(X252,X253,X252,X254) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])])]) ).
cnf(c_0_102,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_103,negated_conjecture,
midp(X1,esk6_0,X1),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_104,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_99]) ).
cnf(c_0_105,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_106,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_107,negated_conjecture,
midp(X1,X1,esk6_0),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_108,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_109,negated_conjecture,
cong(X1,X1,X1,esk6_0),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
fof(c_0_110,plain,
! [X247,X248,X249,X250,X251] :
( ~ midp(X251,X247,X248)
| ~ para(X247,X249,X248,X250)
| ~ para(X247,X250,X248,X249)
| midp(X251,X249,X250) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])])]) ).
cnf(c_0_111,negated_conjecture,
para(X1,X1,X1,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_59])]) ).
cnf(c_0_112,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_110]) ).
cnf(c_0_113,negated_conjecture,
( midp(X1,X2,esk6_0)
| ~ midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_111]) ).
cnf(c_0_114,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_44,c_0_59]) ).
cnf(c_0_115,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_59]),c_0_59])]) ).
cnf(c_0_116,negated_conjecture,
midp(X1,esk6_0,esk6_0),
inference(spm,[status(thm)],[c_0_113,c_0_103]) ).
cnf(c_0_117,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_114]) ).
cnf(c_0_118,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
fof(c_0_119,plain,
! [X152,X153,X154,X155] :
( ~ circle(X155,X152,X153,X154)
| ~ coll(X155,X152,X154)
| perp(X152,X153,X153,X154) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD53])])]) ).
fof(c_0_120,plain,
! [X128,X129,X130,X131] :
( ~ cong(X131,X128,X131,X129)
| ~ cong(X131,X128,X131,X130)
| circle(X131,X128,X129,X130) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD12])])]) ).
cnf(c_0_121,negated_conjecture,
midp(X1,X1,X2),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_122,plain,
( perp(X2,X3,X3,X4)
| ~ circle(X1,X2,X3,X4)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_123,plain,
( circle(X1,X2,X3,X4)
| ~ cong(X1,X2,X1,X3)
| ~ cong(X1,X2,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_124,negated_conjecture,
cong(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_106,c_0_121]) ).
cnf(c_0_125,plain,
( perp(X1,X2,X2,X3)
| ~ circle(X4,X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_72])]) ).
cnf(c_0_126,negated_conjecture,
circle(X1,X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_124])]) ).
cnf(c_0_127,negated_conjecture,
~ perp(esk4_0,esk5_0,esk5_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_128,negated_conjecture,
perp(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_129,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_128])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : GEO608+1 : TPTP v8.2.0. Released v7.5.0.
% 0.06/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n005.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 : 300
% 0.16/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Sun May 19 14:23:22 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 1.75/0.68 # Version: 3.1.0
% 1.75/0.68 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.75/0.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.75/0.68 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.75/0.68 # Starting new_bool_3 with 300s (1) cores
% 1.75/0.68 # Starting new_bool_1 with 300s (1) cores
% 1.75/0.68 # Starting sh5l with 300s (1) cores
% 1.75/0.68 # new_bool_3 with pid 5179 completed with status 0
% 1.75/0.68 # Result found by new_bool_3
% 1.75/0.68 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.75/0.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.75/0.68 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.75/0.68 # Starting new_bool_3 with 300s (1) cores
% 1.75/0.68 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.75/0.68 # Search class: FGUSF-FFLM33-SFFFFFNN
% 1.75/0.68 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 1.75/0.68 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.75/0.68 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 1.75/0.68 # SAT001_MinMin_p005000_rr_RG with pid 5182 completed with status 0
% 1.75/0.68 # Result found by SAT001_MinMin_p005000_rr_RG
% 1.75/0.68 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.75/0.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.75/0.68 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.75/0.68 # Starting new_bool_3 with 300s (1) cores
% 1.75/0.68 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.75/0.68 # Search class: FGUSF-FFLM33-SFFFFFNN
% 1.75/0.68 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 1.75/0.68 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.75/0.68 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 1.75/0.68 # Preprocessing time : 0.004 s
% 1.75/0.68 # Presaturation interreduction done
% 1.75/0.68
% 1.75/0.68 # Proof found!
% 1.75/0.68 # SZS status Theorem
% 1.75/0.68 # SZS output start CNFRefutation
% See solution above
% 1.75/0.68 # Parsed axioms : 95
% 1.75/0.68 # Removed by relevancy pruning/SinE : 21
% 1.75/0.68 # Initial clauses : 100
% 1.75/0.68 # Removed in clause preprocessing : 0
% 1.75/0.68 # Initial clauses in saturation : 100
% 1.75/0.68 # Processed clauses : 2671
% 1.75/0.68 # ...of these trivial : 283
% 1.75/0.68 # ...subsumed : 218
% 1.75/0.68 # ...remaining for further processing : 2170
% 1.75/0.68 # Other redundant clauses eliminated : 0
% 1.75/0.68 # Clauses deleted for lack of memory : 0
% 1.75/0.68 # Backward-subsumed : 35
% 1.75/0.68 # Backward-rewritten : 1950
% 1.75/0.68 # Generated clauses : 14556
% 1.75/0.68 # ...of the previous two non-redundant : 9342
% 1.75/0.68 # ...aggressively subsumed : 0
% 1.75/0.68 # Contextual simplify-reflections : 17
% 1.75/0.68 # Paramodulations : 14556
% 1.75/0.68 # Factorizations : 0
% 1.75/0.68 # NegExts : 0
% 1.75/0.68 # Equation resolutions : 0
% 1.75/0.68 # Disequality decompositions : 0
% 1.75/0.68 # Total rewrite steps : 8470
% 1.75/0.68 # ...of those cached : 5911
% 1.75/0.68 # Propositional unsat checks : 0
% 1.75/0.68 # Propositional check models : 0
% 1.75/0.68 # Propositional check unsatisfiable : 0
% 1.75/0.68 # Propositional clauses : 0
% 1.75/0.68 # Propositional clauses after purity: 0
% 1.75/0.68 # Propositional unsat core size : 0
% 1.75/0.68 # Propositional preprocessing time : 0.000
% 1.75/0.68 # Propositional encoding time : 0.000
% 1.75/0.68 # Propositional solver time : 0.000
% 1.75/0.68 # Success case prop preproc time : 0.000
% 1.75/0.68 # Success case prop encoding time : 0.000
% 1.75/0.68 # Success case prop solver time : 0.000
% 1.75/0.68 # Current number of processed clauses : 86
% 1.75/0.68 # Positive orientable unit clauses : 57
% 1.75/0.68 # Positive unorientable unit clauses: 0
% 1.75/0.68 # Negative unit clauses : 0
% 1.75/0.68 # Non-unit-clauses : 29
% 1.75/0.68 # Current number of unprocessed clauses: 6668
% 1.75/0.68 # ...number of literals in the above : 18792
% 1.75/0.68 # Current number of archived formulas : 0
% 1.75/0.68 # Current number of archived clauses : 2084
% 1.75/0.68 # Clause-clause subsumption calls (NU) : 83203
% 1.75/0.68 # Rec. Clause-clause subsumption calls : 75751
% 1.75/0.68 # Non-unit clause-clause subsumptions : 266
% 1.75/0.68 # Unit Clause-clause subsumption calls : 156945
% 1.75/0.68 # Rewrite failures with RHS unbound : 0
% 1.75/0.68 # BW rewrite match attempts : 11701
% 1.75/0.68 # BW rewrite match successes : 1502
% 1.75/0.68 # Condensation attempts : 0
% 1.75/0.68 # Condensation successes : 0
% 1.75/0.68 # Termbank termtop insertions : 165762
% 1.75/0.68 # Search garbage collected termcells : 2582
% 1.75/0.68
% 1.75/0.68 # -------------------------------------------------
% 1.75/0.68 # User time : 0.233 s
% 1.75/0.68 # System time : 0.009 s
% 1.75/0.68 # Total time : 0.242 s
% 1.75/0.68 # Maximum resident set size: 2352 pages
% 1.75/0.68
% 1.75/0.68 # -------------------------------------------------
% 1.75/0.68 # User time : 0.238 s
% 1.75/0.68 # System time : 0.009 s
% 1.75/0.68 # Total time : 0.247 s
% 1.75/0.68 # Maximum resident set size: 1900 pages
% 1.75/0.68 % E---3.1 exiting
% 2.17/0.68 % E exiting
%------------------------------------------------------------------------------