TSTP Solution File: GEO542+1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : GEO542+1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n004.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 19:59:34 EDT 2024
% Result : Theorem 1.85s 0.67s
% Output : CNFRefutation 1.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 36
% Syntax : Number of formulae : 230 ( 81 unt; 0 def)
% Number of atoms : 461 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 397 ( 166 ~; 163 |; 31 &)
% ( 0 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-6 aty)
% Number of variables : 701 ( 64 sgn 330 !; 2 ?)
% 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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(exemplo6GDDFULL012002,conjecture,
! [X1,X2,X3,X19,X20,X21,X8] :
( ( midp(X19,X3,X2)
& midp(X20,X3,X1)
& midp(X21,X2,X1)
& circle(X8,X1,X2,X3) )
=> perp(X8,X19,X20,X21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012002) ).
fof(ruleD63,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& midp(X7,X3,X4) )
=> para(X1,X3,X2,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(ruleX6,axiom,
! [X1,X2,X3,X4,X7,X17] :
? [X9] :
( ( midp(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/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(ruleD69,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X3)
& coll(X1,X2,X4) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
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/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(ruleD25,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( cong(X1,X2,X3,X4)
& cong(X3,X4,X5,X6) )
=> cong(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
fof(ruleD23,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(ruleD24,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(ruleD67,axiom,
! [X1,X2,X3] :
( ( cong(X1,X2,X1,X3)
& coll(X1,X2,X3) )
=> midp(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(ruleD6,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( para(X1,X2,X3,X4)
& para(X3,X4,X5,X6) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
fof(ruleD5,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(ruleD19,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X3,X4,X1,X2,X11,X12,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(ruleD40,axiom,
! [X1,X2,X3,X4,X9,X10] :
( para(X1,X2,X3,X4)
=> eqangle(X1,X2,X9,X10,X3,X4,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(ruleD39,axiom,
! [X1,X2,X3,X4,X9,X10] :
( eqangle(X1,X2,X9,X10,X3,X4,X9,X10)
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(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/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(ruleD10,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( para(X1,X2,X3,X4)
& perp(X3,X4,X5,X6) )
=> perp(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
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/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(ruleD15,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X3,X2,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(ruleD14,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(ruleD55,axiom,
! [X1,X2,X7,X8] :
( ( midp(X7,X1,X2)
& perp(X8,X7,X1,X2) )
=> cong(X8,X1,X8,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
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/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
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/benchmark/Axioms/GEO012+0.ax',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/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(ruleD46,axiom,
! [X1,X2,X8] :
( cong(X8,X1,X8,X2)
=> eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(c_0_36,plain,
! [X37,X38,X39,X40,X41,X42] :
( ~ perp(X37,X38,X39,X40)
| ~ perp(X39,X40,X41,X42)
| para(X37,X38,X41,X42) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])])]) ).
fof(c_0_37,plain,
! [X148,X149,X150,X151] :
( ~ circle(X151,X148,X149,X150)
| perp(esk17_4(X148,X149,X150,X151),X148,X148,X151) ),
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_38,plain,
! [X33,X34,X35,X36] :
( ~ perp(X33,X34,X35,X36)
| perp(X35,X36,X33,X34) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])])]) ).
fof(c_0_39,negated_conjecture,
~ ! [X1,X2,X3,X19,X20,X21,X8] :
( ( midp(X19,X3,X2)
& midp(X20,X3,X1)
& midp(X21,X2,X1)
& circle(X8,X1,X2,X3) )
=> perp(X8,X19,X20,X21) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL012002]) ).
cnf(c_0_40,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_41,plain,
( perp(esk17_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_42,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_43,plain,
! [X185,X186,X187,X188,X189] :
( ~ midp(X189,X185,X186)
| ~ midp(X189,X187,X188)
| para(X185,X187,X186,X188) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])])]) ).
fof(c_0_44,plain,
! [X204,X205,X206,X207,X208,X209] :
( ( midp(esk22_6(X204,X205,X206,X207,X208,X209),X204,X207)
| ~ midp(X208,X204,X205)
| ~ midp(X209,X206,X207) )
& ( para(esk22_6(X204,X205,X206,X207,X208,X209),X208,X205,X207)
| ~ midp(X208,X204,X205)
| ~ midp(X209,X206,X207) )
& ( para(esk22_6(X204,X205,X206,X207,X208,X209),X209,X204,X206)
| ~ midp(X208,X204,X205)
| ~ midp(X209,X206,X207) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX6])])])])])]) ).
fof(c_0_45,plain,
! [X172,X173,X174] :
( ~ midp(X174,X173,X172)
| midp(X174,X172,X173) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])])]) ).
fof(c_0_46,negated_conjecture,
( midp(esk4_0,esk3_0,esk2_0)
& midp(esk5_0,esk3_0,esk1_0)
& midp(esk6_0,esk2_0,esk1_0)
& circle(esk7_0,esk1_0,esk2_0,esk3_0)
& ~ perp(esk7_0,esk4_0,esk5_0,esk6_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])]) ).
cnf(c_0_47,plain,
( para(X1,X2,X3,X4)
| ~ circle(X4,X3,X5,X6)
| ~ perp(X1,X2,esk17_4(X3,X5,X6,X4),X3) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_48,plain,
( perp(X1,X2,esk17_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_42,c_0_41]) ).
cnf(c_0_49,plain,
( para(X2,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_50,plain,
( midp(esk22_6(X1,X2,X3,X4,X5,X6),X1,X4)
| ~ midp(X5,X1,X2)
| ~ midp(X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_51,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_52,plain,
! [X201,X202,X203] :
( ~ midp(X201,X202,X203)
| coll(X201,X202,X203) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])])]) ).
cnf(c_0_53,negated_conjecture,
midp(esk6_0,esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_54,plain,
! [X252,X253,X254] :
( ~ para(X252,X253,X252,X254)
| coll(X252,X253,X254) ),
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)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_56,negated_conjecture,
circle(esk7_0,esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_57,plain,
( para(X1,X2,X3,X4)
| ~ midp(esk22_6(X2,X5,X6,X4,X7,X8),X1,X3)
| ~ midp(X8,X6,X4)
| ~ midp(X7,X2,X5) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_58,plain,
( midp(esk22_6(X1,X2,X3,X4,X5,X6),X4,X1)
| ~ midp(X6,X3,X4)
| ~ midp(X5,X1,X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_50]) ).
fof(c_0_59,plain,
! [X345,X346,X347,X348] :
( ~ coll(X345,X346,X347)
| ~ coll(X345,X346,X348)
| coll(X347,X348,X345) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])])]) ).
cnf(c_0_60,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_61,negated_conjecture,
midp(esk6_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_51,c_0_53]) ).
fof(c_0_62,plain,
! [X342,X343,X344] :
( ~ coll(X342,X343,X344)
| coll(X343,X342,X344) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])])]) ).
cnf(c_0_63,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_64,negated_conjecture,
para(esk1_0,esk7_0,esk1_0,esk7_0),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_65,plain,
( para(X1,X2,X2,X1)
| ~ midp(X3,X4,X1)
| ~ midp(X5,X2,X6) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
fof(c_0_66,plain,
! [X198,X199,X200] :
( ~ midp(X198,X199,X200)
| cong(X198,X199,X198,X200) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])])]) ).
cnf(c_0_67,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_68,negated_conjecture,
coll(esk6_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
fof(c_0_69,plain,
! [X339,X340,X341] :
( ~ coll(X339,X340,X341)
| coll(X339,X341,X340) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])])]) ).
cnf(c_0_70,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_71,negated_conjecture,
coll(esk1_0,esk7_0,esk7_0),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_72,negated_conjecture,
coll(esk6_0,esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_60,c_0_53]) ).
fof(c_0_73,plain,
! [X190,X191,X192,X193,X194] :
( ~ midp(X194,X190,X191)
| ~ para(X190,X192,X191,X193)
| ~ para(X190,X193,X191,X192)
| midp(X194,X192,X193) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])])]) ).
fof(c_0_74,plain,
! [X226,X227,X228,X229] :
( ~ para(X226,X227,X228,X229)
| para(X226,X227,X229,X228) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])])]) ).
cnf(c_0_75,negated_conjecture,
( para(esk2_0,X1,X1,esk2_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_65,c_0_61]) ).
fof(c_0_76,plain,
! [X278,X279,X280,X281,X282,X283] :
( ~ cong(X278,X279,X280,X281)
| ~ cong(X280,X281,X282,X283)
| cong(X278,X279,X282,X283) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])])]) ).
cnf(c_0_77,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_78,negated_conjecture,
( coll(X1,esk2_0,esk6_0)
| ~ coll(esk6_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_79,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_80,negated_conjecture,
coll(esk7_0,esk1_0,esk7_0),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
fof(c_0_81,plain,
! [X270,X271,X272,X273] :
( ~ cong(X270,X271,X272,X273)
| cong(X270,X271,X273,X272) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])])]) ).
cnf(c_0_82,negated_conjecture,
coll(esk2_0,esk6_0,esk1_0),
inference(spm,[status(thm)],[c_0_70,c_0_72]) ).
cnf(c_0_83,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_73]) ).
cnf(c_0_84,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_85,negated_conjecture,
para(esk2_0,esk1_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_75,c_0_61]) ).
cnf(c_0_86,plain,
( cong(X1,X2,X5,X6)
| ~ cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_87,negated_conjecture,
cong(esk6_0,esk1_0,esk6_0,esk2_0),
inference(spm,[status(thm)],[c_0_77,c_0_61]) ).
cnf(c_0_88,negated_conjecture,
coll(esk2_0,esk2_0,esk6_0),
inference(spm,[status(thm)],[c_0_78,c_0_68]) ).
cnf(c_0_89,negated_conjecture,
( coll(X1,esk1_0,esk6_0)
| ~ coll(esk6_0,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_72]) ).
cnf(c_0_90,negated_conjecture,
coll(esk7_0,esk7_0,esk1_0),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
fof(c_0_91,plain,
! [X274,X275,X276,X277] :
( ~ cong(X274,X275,X276,X277)
| cong(X276,X277,X274,X275) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])])]) ).
cnf(c_0_92,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_93,negated_conjecture,
coll(esk2_0,esk1_0,esk6_0),
inference(spm,[status(thm)],[c_0_79,c_0_82]) ).
cnf(c_0_94,negated_conjecture,
( midp(X1,esk7_0,esk7_0)
| ~ midp(X1,esk1_0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_64]),c_0_64])]) ).
cnf(c_0_95,negated_conjecture,
para(esk2_0,esk1_0,esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
fof(c_0_96,plain,
! [X195,X196,X197] :
( ~ cong(X195,X196,X195,X197)
| ~ coll(X195,X196,X197)
| midp(X195,X196,X197) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])])]) ).
cnf(c_0_97,negated_conjecture,
( cong(X1,X2,esk6_0,esk2_0)
| ~ cong(X1,X2,esk6_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_98,negated_conjecture,
cong(esk6_0,esk2_0,esk6_0,esk1_0),
inference(spm,[status(thm)],[c_0_77,c_0_53]) ).
cnf(c_0_99,negated_conjecture,
coll(esk2_0,esk6_0,esk2_0),
inference(spm,[status(thm)],[c_0_79,c_0_88]) ).
cnf(c_0_100,negated_conjecture,
coll(esk1_0,esk1_0,esk6_0),
inference(spm,[status(thm)],[c_0_89,c_0_72]) ).
cnf(c_0_101,negated_conjecture,
( coll(X1,esk1_0,esk7_0)
| ~ coll(esk7_0,esk7_0,X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_90]) ).
fof(c_0_102,plain,
! [X234,X235,X236,X237,X238,X239] :
( ~ para(X234,X235,X236,X237)
| ~ para(X236,X237,X238,X239)
| para(X234,X235,X238,X239) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD6])])]) ).
fof(c_0_103,plain,
! [X230,X231,X232,X233] :
( ~ para(X230,X231,X232,X233)
| para(X232,X233,X230,X231) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])])]) ).
cnf(c_0_104,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_105,negated_conjecture,
cong(esk6_0,esk1_0,esk2_0,esk6_0),
inference(spm,[status(thm)],[c_0_92,c_0_87]) ).
cnf(c_0_106,negated_conjecture,
( coll(X1,esk6_0,esk2_0)
| ~ coll(esk2_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_93]) ).
cnf(c_0_107,negated_conjecture,
( cong(X1,esk7_0,X1,esk7_0)
| ~ midp(X1,esk1_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_77,c_0_94]) ).
cnf(c_0_108,negated_conjecture,
( midp(X1,esk1_0,esk1_0)
| ~ midp(X1,esk2_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_95]),c_0_95])]) ).
cnf(c_0_109,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_110,negated_conjecture,
cong(esk6_0,esk2_0,esk6_0,esk2_0),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_111,negated_conjecture,
coll(esk6_0,esk2_0,esk2_0),
inference(spm,[status(thm)],[c_0_70,c_0_99]) ).
cnf(c_0_112,negated_conjecture,
( coll(X1,esk6_0,esk1_0)
| ~ coll(esk1_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_100]) ).
cnf(c_0_113,negated_conjecture,
coll(esk1_0,esk1_0,esk7_0),
inference(spm,[status(thm)],[c_0_101,c_0_90]) ).
cnf(c_0_114,plain,
( para(X1,X2,X5,X6)
| ~ para(X1,X2,X3,X4)
| ~ para(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_115,plain,
( para(esk22_6(X1,X2,X3,X4,X5,X6),X6,X1,X3)
| ~ midp(X5,X1,X2)
| ~ midp(X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_116,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_117,negated_conjecture,
cong(esk2_0,esk6_0,esk6_0,esk1_0),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_118,negated_conjecture,
coll(esk6_0,esk6_0,esk2_0),
inference(spm,[status(thm)],[c_0_106,c_0_93]) ).
cnf(c_0_119,negated_conjecture,
( cong(X1,esk7_0,X1,esk7_0)
| ~ midp(X1,esk2_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_120,negated_conjecture,
midp(esk6_0,esk2_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111])]) ).
cnf(c_0_121,negated_conjecture,
coll(esk7_0,esk6_0,esk1_0),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_122,plain,
( para(X1,X2,X3,X4)
| ~ midp(X5,X4,X6)
| ~ midp(X7,X3,X8)
| ~ para(X1,X2,esk22_6(X3,X8,X4,X6,X7,X5),X5) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_123,plain,
( para(X1,X2,esk22_6(X1,X3,X2,X4,X5,X6),X6)
| ~ midp(X6,X2,X4)
| ~ midp(X5,X1,X3) ),
inference(spm,[status(thm)],[c_0_116,c_0_115]) ).
cnf(c_0_124,negated_conjecture,
cong(esk2_0,esk6_0,esk6_0,esk2_0),
inference(spm,[status(thm)],[c_0_97,c_0_117]) ).
cnf(c_0_125,negated_conjecture,
coll(esk6_0,esk2_0,esk6_0),
inference(spm,[status(thm)],[c_0_79,c_0_118]) ).
cnf(c_0_126,negated_conjecture,
cong(esk6_0,esk7_0,esk6_0,esk7_0),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_127,negated_conjecture,
( coll(X1,esk7_0,esk7_0)
| ~ coll(esk7_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_80]) ).
cnf(c_0_128,negated_conjecture,
coll(esk7_0,esk1_0,esk6_0),
inference(spm,[status(thm)],[c_0_79,c_0_121]) ).
cnf(c_0_129,plain,
( para(X1,X2,X1,X2)
| ~ midp(X3,X2,X4)
| ~ midp(X5,X1,X6) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_130,negated_conjecture,
cong(esk2_0,esk6_0,esk2_0,esk6_0),
inference(spm,[status(thm)],[c_0_92,c_0_124]) ).
cnf(c_0_131,negated_conjecture,
coll(esk2_0,esk6_0,esk6_0),
inference(spm,[status(thm)],[c_0_70,c_0_125]) ).
cnf(c_0_132,negated_conjecture,
cong(esk6_0,esk7_0,esk7_0,esk6_0),
inference(spm,[status(thm)],[c_0_92,c_0_126]) ).
cnf(c_0_133,negated_conjecture,
coll(esk6_0,esk1_0,esk6_0),
inference(spm,[status(thm)],[c_0_89,c_0_125]) ).
cnf(c_0_134,negated_conjecture,
coll(esk6_0,esk7_0,esk1_0),
inference(spm,[status(thm)],[c_0_70,c_0_121]) ).
fof(c_0_135,plain,
! [X303,X304,X305,X306,X307,X308,X309,X310] :
( ~ eqangle(X303,X304,X305,X306,X307,X308,X309,X310)
| eqangle(X305,X306,X303,X304,X309,X310,X307,X308) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).
fof(c_0_136,plain,
! [X246,X247,X248,X249,X250,X251] :
( ~ para(X246,X247,X248,X249)
| eqangle(X246,X247,X250,X251,X248,X249,X250,X251) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])]) ).
cnf(c_0_137,negated_conjecture,
coll(esk6_0,esk7_0,esk7_0),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_138,negated_conjecture,
( para(X1,esk2_0,X1,esk2_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_129,c_0_53]) ).
cnf(c_0_139,negated_conjecture,
midp(esk2_0,esk6_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_130]),c_0_131])]) ).
cnf(c_0_140,negated_conjecture,
cong(esk7_0,esk6_0,esk6_0,esk7_0),
inference(spm,[status(thm)],[c_0_104,c_0_132]) ).
cnf(c_0_141,negated_conjecture,
( coll(X1,esk6_0,esk6_0)
| ~ coll(esk6_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_133]) ).
cnf(c_0_142,negated_conjecture,
coll(esk6_0,esk1_0,esk7_0),
inference(spm,[status(thm)],[c_0_79,c_0_134]) ).
fof(c_0_143,plain,
! [X240,X241,X242,X243,X244,X245] :
( ~ eqangle(X240,X241,X244,X245,X242,X243,X244,X245)
| para(X240,X241,X242,X243) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])]) ).
cnf(c_0_144,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_135]) ).
cnf(c_0_145,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
cnf(c_0_146,negated_conjecture,
midp(esk6_0,esk7_0,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_126]),c_0_137])]) ).
cnf(c_0_147,negated_conjecture,
para(esk6_0,esk2_0,esk6_0,esk2_0),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_148,negated_conjecture,
cong(esk7_0,esk6_0,esk7_0,esk6_0),
inference(spm,[status(thm)],[c_0_92,c_0_140]) ).
cnf(c_0_149,negated_conjecture,
coll(esk7_0,esk6_0,esk6_0),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_150,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_143]) ).
cnf(c_0_151,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_152,negated_conjecture,
( para(esk7_0,X1,X1,esk7_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_65,c_0_146]) ).
cnf(c_0_153,negated_conjecture,
( midp(X1,esk2_0,esk2_0)
| ~ midp(X1,esk6_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_147]),c_0_147])]) ).
cnf(c_0_154,negated_conjecture,
midp(esk7_0,esk6_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_148]),c_0_149])]) ).
cnf(c_0_155,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_156,negated_conjecture,
para(esk7_0,esk7_0,esk7_0,esk7_0),
inference(spm,[status(thm)],[c_0_152,c_0_146]) ).
cnf(c_0_157,negated_conjecture,
midp(esk7_0,esk2_0,esk2_0),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_158,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_159,negated_conjecture,
cong(esk7_0,esk7_0,esk7_0,esk7_0),
inference(spm,[status(thm)],[c_0_119,c_0_157]) ).
cnf(c_0_160,negated_conjecture,
coll(esk7_0,esk7_0,esk7_0),
inference(spm,[status(thm)],[c_0_127,c_0_80]) ).
cnf(c_0_161,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_63,c_0_158]) ).
cnf(c_0_162,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_158]),c_0_158])]) ).
cnf(c_0_163,negated_conjecture,
midp(esk7_0,esk7_0,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_159]),c_0_160])]) ).
fof(c_0_164,plain,
! [X379,X380,X381,X382] :
( ~ eqangle(X381,X379,X381,X380,X382,X379,X382,X380)
| ~ coll(X381,X382,X380)
| cyclic(X379,X380,X381,X382) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])])]) ).
cnf(c_0_165,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_70,c_0_161]) ).
cnf(c_0_166,plain,
( para(X1,X1,X2,X2)
| ~ midp(X3,X4,X2)
| ~ midp(X5,X1,X6) ),
inference(spm,[status(thm)],[c_0_57,c_0_50]) ).
cnf(c_0_167,negated_conjecture,
midp(esk7_0,X1,X1),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_168,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_164]) ).
cnf(c_0_169,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_79,c_0_165]) ).
fof(c_0_170,plain,
! [X43,X44,X45,X46,X47,X48] :
( ~ para(X43,X44,X45,X46)
| ~ perp(X45,X46,X47,X48)
| perp(X43,X44,X47,X48) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD10])])]) ).
cnf(c_0_171,negated_conjecture,
( para(X1,X1,X2,X2)
| ~ midp(X3,X1,X4) ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
fof(c_0_172,plain,
! [X57,X58,X59,X60] :
( ~ cong(X57,X59,X58,X59)
| ~ cong(X57,X60,X58,X60)
| perp(X57,X58,X59,X60) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])])]) ).
cnf(c_0_173,negated_conjecture,
cong(esk7_0,X1,esk7_0,X1),
inference(spm,[status(thm)],[c_0_77,c_0_167]) ).
fof(c_0_174,plain,
! [X358,X359,X360,X361] :
( ~ cyclic(X358,X359,X360,X361)
| cyclic(X358,X360,X359,X361) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])])]) ).
cnf(c_0_175,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_168,c_0_145]) ).
cnf(c_0_176,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_169]),c_0_169])]) ).
cnf(c_0_177,plain,
( perp(X1,X2,X5,X6)
| ~ para(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_170]) ).
cnf(c_0_178,negated_conjecture,
para(X1,X1,X2,X2),
inference(spm,[status(thm)],[c_0_171,c_0_167]) ).
cnf(c_0_179,plain,
( perp(X1,X3,X2,X4)
| ~ cong(X1,X2,X3,X2)
| ~ cong(X1,X4,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_180,negated_conjecture,
cong(esk7_0,X1,X1,esk7_0),
inference(spm,[status(thm)],[c_0_92,c_0_173]) ).
fof(c_0_181,plain,
! [X354,X355,X356,X357] :
( ~ cyclic(X354,X355,X356,X357)
| cyclic(X354,X355,X357,X356) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])])]) ).
cnf(c_0_182,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_174]) ).
cnf(c_0_183,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_158])]),c_0_176])]) ).
cnf(c_0_184,negated_conjecture,
( perp(X1,X1,X2,X3)
| ~ perp(X4,X4,X2,X3) ),
inference(spm,[status(thm)],[c_0_177,c_0_178]) ).
cnf(c_0_185,negated_conjecture,
perp(esk7_0,esk7_0,X1,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_173])]) ).
fof(c_0_186,plain,
! [X362,X363,X364,X365] :
( ~ cyclic(X362,X363,X364,X365)
| cyclic(X363,X362,X364,X365) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])])]) ).
cnf(c_0_187,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_188,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
fof(c_0_189,plain,
! [X180,X181,X182,X183,X184] :
( ~ midp(X183,X180,X181)
| ~ para(X183,X184,X181,X182)
| ~ coll(X184,X180,X182)
| midp(X184,X180,X182) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])])]) ).
fof(c_0_190,plain,
! [X53,X54,X55,X56] :
( ~ midp(X55,X53,X54)
| ~ perp(X56,X55,X53,X54)
| cong(X56,X53,X56,X54) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD55])])]) ).
cnf(c_0_191,negated_conjecture,
perp(X1,X1,X2,esk7_0),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
fof(c_0_192,plain,
! [X255,X256,X257,X258,X259,X260,X261,X262] :
( ~ eqangle(X255,X256,X257,X258,X259,X260,X261,X262)
| ~ para(X259,X260,X261,X262)
| para(X255,X256,X257,X258) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])]) ).
fof(c_0_193,plain,
! [X371,X372,X373,X374] :
( ~ cyclic(X371,X372,X373,X374)
| eqangle(X373,X371,X373,X372,X374,X371,X374,X372) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])])]) ).
fof(c_0_194,plain,
! [X366,X367,X368,X369,X370] :
( ~ cyclic(X366,X367,X368,X369)
| ~ cyclic(X366,X367,X368,X370)
| cyclic(X367,X368,X369,X370) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])])]) ).
cnf(c_0_195,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_196,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_197,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_189]) ).
cnf(c_0_198,plain,
( cong(X4,X2,X4,X3)
| ~ midp(X1,X2,X3)
| ~ perp(X4,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
cnf(c_0_199,negated_conjecture,
perp(X1,esk7_0,X2,X2),
inference(spm,[status(thm)],[c_0_42,c_0_191]) ).
cnf(c_0_200,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_192]) ).
cnf(c_0_201,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_193]) ).
cnf(c_0_202,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_194]) ).
cnf(c_0_203,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
fof(c_0_204,plain,
! [X284,X285,X286] :
( ~ cong(X286,X284,X286,X285)
| eqangle(X286,X284,X284,X285,X284,X285,X286,X285) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])])]) ).
cnf(c_0_205,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_197,c_0_176])]) ).
cnf(c_0_206,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_84,c_0_158]) ).
cnf(c_0_207,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_176])]) ).
cnf(c_0_208,negated_conjecture,
cong(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_167])]) ).
cnf(c_0_209,plain,
( para(X1,X2,X1,X3)
| ~ cyclic(X2,X3,X1,X4)
| ~ para(X4,X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_200,c_0_201]) ).
cnf(c_0_210,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_203])]) ).
cnf(c_0_211,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_204]) ).
cnf(c_0_212,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_213,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_207,c_0_208]) ).
cnf(c_0_214,plain,
( para(X1,X2,X1,X3)
| ~ para(X4,X2,X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_209,c_0_210])]) ).
cnf(c_0_215,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_150,c_0_211]) ).
cnf(c_0_216,negated_conjecture,
midp(X1,X1,X2),
inference(spm,[status(thm)],[c_0_212,c_0_213]) ).
cnf(c_0_217,plain,
( para(X1,X2,X1,X3)
| ~ cong(X2,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_214,c_0_215]) ).
cnf(c_0_218,negated_conjecture,
cong(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_77,c_0_216]) ).
cnf(c_0_219,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_205,c_0_158]) ).
cnf(c_0_220,plain,
para(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_217,c_0_218])]) ).
cnf(c_0_221,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_219,c_0_213]) ).
cnf(c_0_222,plain,
midp(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_220]),c_0_221])]) ).
cnf(c_0_223,plain,
cong(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_222])]) ).
cnf(c_0_224,plain,
cong(X1,X2,X3,X1),
inference(spm,[status(thm)],[c_0_92,c_0_223]) ).
cnf(c_0_225,plain,
cong(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_104,c_0_224]) ).
cnf(c_0_226,plain,
cong(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_92,c_0_225]) ).
cnf(c_0_227,negated_conjecture,
~ perp(esk7_0,esk4_0,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_228,plain,
perp(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_179,c_0_226]),c_0_226])]) ).
cnf(c_0_229,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_228])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : GEO542+1 : TPTP v8.2.0. Released v7.5.0.
% 0.06/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n004.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
% 0.11/0.32 % CPULimit : 300
% 0.17/0.32 % WCLimit : 300
% 0.17/0.32 % DateTime : Sun May 19 14:36:52 EDT 2024
% 0.17/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 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/benchmark/theBenchmark.p
% 1.85/0.67 # Version: 3.1.0
% 1.85/0.67 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.85/0.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.85/0.67 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.85/0.67 # Starting new_bool_3 with 300s (1) cores
% 1.85/0.67 # Starting new_bool_1 with 300s (1) cores
% 1.85/0.67 # Starting sh5l with 300s (1) cores
% 1.85/0.67 # new_bool_3 with pid 21494 completed with status 0
% 1.85/0.67 # Result found by new_bool_3
% 1.85/0.67 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.85/0.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.85/0.67 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.85/0.67 # Starting new_bool_3 with 300s (1) cores
% 1.85/0.67 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.85/0.67 # Search class: FGUSF-FFLS33-SFFFFFNN
% 1.85/0.67 # partial match(1): FGUSF-FFLS32-SFFFFFNN
% 1.85/0.67 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.85/0.67 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 1.85/0.67 # SAT001_MinMin_p005000_rr_RG with pid 21497 completed with status 0
% 1.85/0.67 # Result found by SAT001_MinMin_p005000_rr_RG
% 1.85/0.67 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.85/0.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.85/0.67 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.85/0.67 # Starting new_bool_3 with 300s (1) cores
% 1.85/0.67 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.85/0.67 # Search class: FGUSF-FFLS33-SFFFFFNN
% 1.85/0.67 # partial match(1): FGUSF-FFLS32-SFFFFFNN
% 1.85/0.67 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.85/0.67 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 1.85/0.67 # Preprocessing time : 0.002 s
% 1.85/0.67 # Presaturation interreduction done
% 1.85/0.67
% 1.85/0.67 # Proof found!
% 1.85/0.67 # SZS status Theorem
% 1.85/0.67 # SZS output start CNFRefutation
% See solution above
% 1.85/0.67 # Parsed axioms : 95
% 1.85/0.67 # Removed by relevancy pruning/SinE : 21
% 1.85/0.67 # Initial clauses : 97
% 1.85/0.67 # Removed in clause preprocessing : 0
% 1.85/0.67 # Initial clauses in saturation : 97
% 1.85/0.67 # Processed clauses : 2802
% 1.85/0.67 # ...of these trivial : 401
% 1.85/0.67 # ...subsumed : 485
% 1.85/0.67 # ...remaining for further processing : 1916
% 1.85/0.67 # Other redundant clauses eliminated : 0
% 1.85/0.67 # Clauses deleted for lack of memory : 0
% 1.85/0.67 # Backward-subsumed : 58
% 1.85/0.67 # Backward-rewritten : 1736
% 1.85/0.67 # Generated clauses : 15864
% 1.85/0.67 # ...of the previous two non-redundant : 10354
% 1.85/0.67 # ...aggressively subsumed : 0
% 1.85/0.67 # Contextual simplify-reflections : 8
% 1.85/0.67 # Paramodulations : 15864
% 1.85/0.67 # Factorizations : 0
% 1.85/0.67 # NegExts : 0
% 1.85/0.67 # Equation resolutions : 0
% 1.85/0.67 # Disequality decompositions : 0
% 1.85/0.67 # Total rewrite steps : 8570
% 1.85/0.67 # ...of those cached : 6394
% 1.85/0.67 # Propositional unsat checks : 0
% 1.85/0.67 # Propositional check models : 0
% 1.85/0.67 # Propositional check unsatisfiable : 0
% 1.85/0.67 # Propositional clauses : 0
% 1.85/0.67 # Propositional clauses after purity: 0
% 1.85/0.67 # Propositional unsat core size : 0
% 1.85/0.67 # Propositional preprocessing time : 0.000
% 1.85/0.67 # Propositional encoding time : 0.000
% 1.85/0.67 # Propositional solver time : 0.000
% 1.85/0.67 # Success case prop preproc time : 0.000
% 1.85/0.67 # Success case prop encoding time : 0.000
% 1.85/0.67 # Success case prop solver time : 0.000
% 1.85/0.67 # Current number of processed clauses : 26
% 1.85/0.67 # Positive orientable unit clauses : 11
% 1.85/0.67 # Positive unorientable unit clauses: 0
% 1.85/0.67 # Negative unit clauses : 0
% 1.85/0.67 # Non-unit-clauses : 15
% 1.85/0.67 # Current number of unprocessed clauses: 7283
% 1.85/0.67 # ...number of literals in the above : 22078
% 1.85/0.67 # Current number of archived formulas : 0
% 1.85/0.67 # Current number of archived clauses : 1890
% 1.85/0.67 # Clause-clause subsumption calls (NU) : 104090
% 1.85/0.67 # Rec. Clause-clause subsumption calls : 99162
% 1.85/0.67 # Non-unit clause-clause subsumptions : 529
% 1.85/0.67 # Unit Clause-clause subsumption calls : 28183
% 1.85/0.67 # Rewrite failures with RHS unbound : 0
% 1.85/0.67 # BW rewrite match attempts : 10136
% 1.85/0.67 # BW rewrite match successes : 1325
% 1.85/0.67 # Condensation attempts : 0
% 1.85/0.67 # Condensation successes : 0
% 1.85/0.67 # Termbank termtop insertions : 176326
% 1.85/0.67 # Search garbage collected termcells : 2522
% 1.85/0.67
% 1.85/0.67 # -------------------------------------------------
% 1.85/0.67 # User time : 0.218 s
% 1.85/0.67 # System time : 0.007 s
% 1.85/0.67 # Total time : 0.226 s
% 1.85/0.67 # Maximum resident set size: 2340 pages
% 1.85/0.67
% 1.85/0.67 # -------------------------------------------------
% 1.85/0.67 # User time : 0.222 s
% 1.85/0.67 # System time : 0.008 s
% 1.85/0.67 # Total time : 0.230 s
% 1.85/0.67 # Maximum resident set size: 1900 pages
% 1.85/0.67 % E---3.1 exiting
% 1.85/0.67 % E exiting
%------------------------------------------------------------------------------