TSTP Solution File: GEO654+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO654+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n016.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 : 600s
% DateTime : Sat Jul 16 04:06:56 EDT 2022
% Result : Theorem 0.25s 2.44s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 32
% Syntax : Number of formulae : 195 ( 61 unt; 0 def)
% Number of atoms : 445 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 417 ( 167 ~; 163 |; 54 &)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 21 ( 21 usr; 17 con; 0-4 aty)
% Number of variables : 695 ( 38 sgn 328 !; 4 ?)
% 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(exemplo6GDDFULLmoreE0228,conjecture,
! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20,X21,X22,X23,X24,X25,X26,X27] :
( ( circle(X1,X2,X19,X20)
& circle(X3,X2,X21,X22)
& circle(X1,X2,X4,X23)
& circle(X3,X2,X4,X24)
& circle(X3,X2,X5,X25)
& coll(X4,X5,X6)
& circle(X1,X4,X6,X26)
& coll(X2,X5,X13)
& circle(X1,X2,X13,X27)
& perp(X3,X5,X5,X14) )
=> para(X14,X5,X13,X6) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',exemplo6GDDFULLmoreE0228) ).
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(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(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(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(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(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
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(ruleD57,axiom,
! [X1,X2,X9,X10] :
( ( cong(X1,X9,X2,X9)
& cong(X1,X10,X2,X10)
& cyclic(X1,X2,X9,X10) )
=> perp(X9,X1,X1,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD57) ).
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(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(ruleD21,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X1,X2,X9,X10,X3,X4,X11,X12) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
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(ruleD43,axiom,
! [X1,X2,X3,X9,X10,X15] :
( ( cyclic(X1,X2,X3,X9)
& cyclic(X1,X2,X3,X10)
& cyclic(X1,X2,X3,X15)
& eqangle(X3,X1,X3,X2,X15,X9,X15,X10) )
=> cong(X1,X2,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
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(ruleX14,axiom,
! [X1,X2,X3,X4] :
? [X8] :
( ( perp(X1,X3,X3,X2)
& cyclic(X1,X2,X3,X4) )
=> circle(X8,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX14) ).
fof(ruleD74,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
& perp(X9,X10,X11,X12) )
=> perp(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
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(ruleD53,axiom,
! [X1,X2,X3,X8] :
( ( circle(X8,X1,X2,X3)
& coll(X8,X1,X3) )
=> perp(X1,X2,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
fof(ruleD7,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
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(ruleD18,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X2,X1,X3,X4,X9,X10,X11,X12) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
fof(ruleX10,axiom,
! [X1,X2,X3,X14] :
? [X9,X10] :
( ( perp(X1,X14,X2,X3)
& perp(X2,X14,X1,X3) )
=> ( coll(X9,X3,X2)
& perp(X1,X9,X3,X2)
& coll(X10,X3,X1)
& perp(X2,X10,X3,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX10) ).
fof(ruleD54,axiom,
! [X1,X2,X3,X4] :
( ( cyclic(X1,X2,X3,X4)
& para(X1,X2,X3,X4) )
=> eqangle(X1,X4,X3,X4,X3,X4,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD54) ).
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/benchmark/Axioms/GEO012+0.ax',ruleD51) ).
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(ruleD12,axiom,
! [X1,X2,X3,X8] :
( ( cong(X8,X1,X8,X2)
& cong(X8,X1,X8,X3) )
=> circle(X8,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
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(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(c_0_32,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ perp(X7,X8,X9,X10)
| ~ perp(X9,X10,X11,X12)
| para(X7,X8,X11,X12) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_33,plain,
! [X10,X11,X12,X13] :
( ~ circle(X13,X10,X11,X12)
| perp(esk30_4(X10,X11,X12,X13),X10,X10,X13) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
fof(c_0_34,plain,
! [X5,X6,X7,X8] :
( ~ perp(X5,X6,X7,X8)
| perp(X7,X8,X5,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
cnf(c_0_35,plain,
( para(X1,X2,X3,X4)
| ~ perp(X5,X6,X3,X4)
| ~ perp(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_36,plain,
( perp(esk30_4(X1,X2,X3,X4),X1,X1,X4)
| ~ circle(X4,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_37,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_38,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20,X21,X22,X23,X24,X25,X26,X27] :
( ( circle(X1,X2,X19,X20)
& circle(X3,X2,X21,X22)
& circle(X1,X2,X4,X23)
& circle(X3,X2,X4,X24)
& circle(X3,X2,X5,X25)
& coll(X4,X5,X6)
& circle(X1,X4,X6,X26)
& coll(X2,X5,X13)
& circle(X1,X2,X13,X27)
& perp(X3,X5,X5,X14) )
=> para(X14,X5,X13,X6) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULLmoreE0228]) ).
cnf(c_0_39,plain,
( para(X1,X2,X3,X4)
| ~ circle(X4,X3,X5,X6)
| ~ perp(X1,X2,esk30_4(X3,X5,X6,X4),X3) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,plain,
( perp(X1,X2,esk30_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_37,c_0_36]) ).
fof(c_0_41,negated_conjecture,
( circle(esk1_0,esk2_0,esk9_0,esk10_0)
& circle(esk3_0,esk2_0,esk11_0,esk12_0)
& circle(esk1_0,esk2_0,esk4_0,esk13_0)
& circle(esk3_0,esk2_0,esk4_0,esk14_0)
& circle(esk3_0,esk2_0,esk5_0,esk15_0)
& coll(esk4_0,esk5_0,esk6_0)
& circle(esk1_0,esk4_0,esk6_0,esk16_0)
& coll(esk2_0,esk5_0,esk7_0)
& circle(esk1_0,esk2_0,esk7_0,esk17_0)
& perp(esk3_0,esk5_0,esk5_0,esk8_0)
& ~ para(esk8_0,esk5_0,esk7_0,esk6_0) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])]) ).
fof(c_0_42,plain,
! [X11,X12,X13,X14,X15,X16] :
( ~ para(X11,X12,X13,X14)
| eqangle(X11,X12,X15,X16,X13,X14,X15,X16) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])])]) ).
cnf(c_0_43,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_44,negated_conjecture,
circle(esk3_0,esk2_0,esk4_0,esk14_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_45,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20] :
( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
| eqangle(X15,X16,X13,X14,X19,X20,X17,X18) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
cnf(c_0_46,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| ~ para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_47,negated_conjecture,
para(esk2_0,esk3_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
fof(c_0_48,plain,
! [X11,X12,X13,X14,X15,X16] :
( ~ eqangle(X11,X12,X15,X16,X13,X14,X15,X16)
| para(X11,X12,X13,X14) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])])]) ).
cnf(c_0_49,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ eqangle(X3,X4,X1,X2,X7,X8,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_50,negated_conjecture,
eqangle(esk2_0,esk3_0,X1,X2,esk2_0,esk3_0,X1,X2),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
fof(c_0_51,plain,
! [X4,X5,X6] :
( ~ para(X4,X5,X4,X6)
| coll(X4,X5,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_52,plain,
( para(X1,X2,X3,X4)
| ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_53,negated_conjecture,
eqangle(X1,X2,esk2_0,esk3_0,X1,X2,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
fof(c_0_54,plain,
! [X5,X6,X7,X8] :
( ~ para(X5,X6,X7,X8)
| para(X5,X6,X8,X7) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
fof(c_0_55,plain,
! [X4,X5,X6] :
( ~ coll(X4,X5,X6)
| coll(X5,X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_56,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_57,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,plain,
( para(X1,X2,X3,X4)
| ~ para(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
fof(c_0_59,plain,
! [X4,X5,X6] :
( ~ coll(X4,X5,X6)
| coll(X4,X6,X5) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_60,plain,
( coll(X1,X2,X3)
| ~ coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_61,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_62,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_58,c_0_57]) ).
fof(c_0_63,plain,
! [X11,X12,X13,X14] :
( ~ cong(X11,X13,X12,X13)
| ~ cong(X11,X14,X12,X14)
| ~ cyclic(X11,X12,X13,X14)
| perp(X13,X11,X11,X14) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD57])]) ).
fof(c_0_64,plain,
! [X11,X12,X13,X14] :
( ~ eqangle(X13,X11,X13,X12,X14,X11,X14,X12)
| ~ coll(X13,X14,X12)
| cyclic(X11,X12,X13,X14) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_65,plain,
! [X5,X6,X7,X8] :
( ~ coll(X5,X6,X7)
| ~ coll(X5,X6,X8)
| coll(X7,X8,X5) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_66,plain,
( coll(X1,X2,X3)
| ~ coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_67,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
fof(c_0_68,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20] :
( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
| eqangle(X13,X14,X17,X18,X15,X16,X19,X20) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).
cnf(c_0_69,negated_conjecture,
eqangle(X1,X2,X3,X4,X2,X1,X3,X4),
inference(spm,[status(thm)],[c_0_46,c_0_62]) ).
fof(c_0_70,plain,
! [X5,X6,X7,X8] :
( ~ cyclic(X5,X6,X7,X8)
| cyclic(X5,X6,X8,X7) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_71,plain,
( perp(X1,X2,X2,X3)
| ~ cyclic(X2,X4,X1,X3)
| ~ cong(X2,X3,X4,X3)
| ~ cong(X2,X1,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_72,plain,
( cyclic(X1,X2,X3,X4)
| ~ coll(X3,X4,X2)
| ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_73,plain,
( coll(X1,X2,X3)
| ~ coll(X3,X4,X2)
| ~ coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_74,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
fof(c_0_75,plain,
! [X16,X17,X18,X19,X20,X21] :
( ~ cyclic(X16,X17,X18,X19)
| ~ cyclic(X16,X17,X18,X20)
| ~ cyclic(X16,X17,X18,X21)
| ~ eqangle(X18,X16,X18,X17,X21,X19,X21,X20)
| cong(X16,X17,X19,X20) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])])])]) ).
cnf(c_0_76,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ eqangle(X1,X2,X5,X6,X3,X4,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_77,negated_conjecture,
eqangle(X1,X2,X3,X4,X1,X2,X4,X3),
inference(spm,[status(thm)],[c_0_49,c_0_69]) ).
cnf(c_0_78,plain,
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_79,plain,
( perp(X1,X2,X2,X3)
| ~ eqangle(X1,X2,X1,X4,X3,X2,X3,X4)
| ~ cong(X2,X3,X4,X3)
| ~ cong(X2,X1,X4,X1)
| ~ coll(X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_80,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_74])]) ).
fof(c_0_81,plain,
! [X9,X10,X11] :
( ~ cong(X11,X9,X11,X10)
| eqangle(X11,X9,X9,X10,X9,X10,X11,X10) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_82,plain,
( cong(X1,X2,X3,X4)
| ~ eqangle(X5,X1,X5,X2,X6,X3,X6,X4)
| ~ cyclic(X1,X2,X5,X6)
| ~ cyclic(X1,X2,X5,X4)
| ~ cyclic(X1,X2,X5,X3) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_83,negated_conjecture,
eqangle(X1,X2,X1,X2,X3,X4,X4,X3),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_84,plain,
( cyclic(X1,X2,X3,X4)
| ~ eqangle(X4,X1,X4,X2,X3,X1,X3,X2)
| ~ coll(X4,X3,X2) ),
inference(spm,[status(thm)],[c_0_78,c_0_72]) ).
cnf(c_0_85,negated_conjecture,
eqangle(X1,X2,X3,X4,X1,X2,X3,X4),
inference(spm,[status(thm)],[c_0_46,c_0_57]) ).
cnf(c_0_86,negated_conjecture,
perp(esk3_0,esk5_0,esk5_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_87,plain,
! [X9,X10,X11,X12] :
( ~ perp(X9,X11,X11,X10)
| ~ cyclic(X9,X10,X11,X12)
| circle(esk34_3(X9,X10,X11),X9,X10,X11) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX14])])])])]) ).
fof(c_0_88,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20] :
( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
| ~ perp(X17,X18,X19,X20)
| perp(X13,X14,X15,X16) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD74])])])]) ).
cnf(c_0_89,plain,
( perp(X1,X2,X2,X3)
| ~ eqangle(X1,X2,X1,X4,X3,X2,X3,X4)
| ~ cong(X2,X3,X4,X3)
| ~ cong(X2,X1,X4,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_80])]) ).
cnf(c_0_90,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_91,negated_conjecture,
( cong(X1,X1,X2,X2)
| ~ cyclic(X1,X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_92,plain,
( cyclic(X1,X2,X3,X4)
| ~ eqangle(X4,X1,X4,X2,X3,X1,X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_80])]) ).
cnf(c_0_93,negated_conjecture,
eqangle(X1,X2,X1,X2,X3,X4,X3,X4),
inference(spm,[status(thm)],[c_0_76,c_0_85]) ).
fof(c_0_94,plain,
! [X5,X6,X7,X8] :
( ~ para(X5,X6,X7,X8)
| para(X7,X8,X5,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_95,negated_conjecture,
perp(esk5_0,esk8_0,esk3_0,esk5_0),
inference(spm,[status(thm)],[c_0_37,c_0_86]) ).
cnf(c_0_96,plain,
( circle(esk34_3(X1,X2,X3),X1,X2,X3)
| ~ cyclic(X1,X2,X3,X4)
| ~ perp(X1,X3,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_97,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X5,X6,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_98,negated_conjecture,
eqangle(X1,X2,X2,X1,X3,X4,X3,X4),
inference(spm,[status(thm)],[c_0_76,c_0_69]) ).
cnf(c_0_99,plain,
( perp(X1,X1,X1,X1)
| ~ cong(X1,X1,X1,X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_100,negated_conjecture,
cong(X1,X1,X2,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93])]) ).
cnf(c_0_101,plain,
( para(X1,X2,X3,X4)
| ~ para(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_102,negated_conjecture,
( para(X1,X2,esk3_0,esk5_0)
| ~ perp(X1,X2,esk5_0,esk8_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_95]) ).
fof(c_0_103,plain,
! [X9,X10,X11,X12] :
( ~ circle(X12,X9,X10,X11)
| ~ coll(X12,X9,X11)
| perp(X9,X10,X10,X11) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD53])])])]) ).
cnf(c_0_104,plain,
( circle(esk34_3(X1,X2,X3),X1,X2,X3)
| ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ perp(X1,X3,X3,X2)
| ~ coll(X3,X4,X2) ),
inference(spm,[status(thm)],[c_0_96,c_0_72]) ).
cnf(c_0_105,negated_conjecture,
( perp(X1,X2,X2,X1)
| ~ perp(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_106,plain,
perp(X1,X1,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_100])]) ).
fof(c_0_107,plain,
! [X5,X6,X7,X8] :
( ~ perp(X5,X6,X7,X8)
| perp(X5,X6,X8,X7) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])]) ).
fof(c_0_108,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ para(X7,X8,X9,X10)
| ~ perp(X9,X10,X11,X12)
| perp(X7,X8,X11,X12) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD10])]) ).
cnf(c_0_109,negated_conjecture,
( para(esk3_0,esk5_0,X1,X2)
| ~ perp(X1,X2,esk5_0,esk8_0) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_110,plain,
( perp(X1,X2,X2,X3)
| ~ coll(X4,X1,X3)
| ~ circle(X4,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_111,plain,
( circle(esk34_3(X1,X2,X3),X1,X2,X3)
| ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ perp(X1,X3,X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_80])]) ).
cnf(c_0_112,negated_conjecture,
perp(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_113,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_114,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X5,X6,X3,X4)
| ~ para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_115,negated_conjecture,
( para(esk3_0,esk5_0,X1,X2)
| ~ perp(X2,X1,esk5_0,esk8_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_109]) ).
cnf(c_0_116,plain,
( perp(X1,X2,X2,X3)
| ~ circle(X4,X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_80])]) ).
cnf(c_0_117,negated_conjecture,
circle(esk34_3(X1,X1,X2),X1,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_93]),c_0_112])]) ).
cnf(c_0_118,negated_conjecture,
perp(esk5_0,esk8_0,esk5_0,esk3_0),
inference(spm,[status(thm)],[c_0_113,c_0_95]) ).
fof(c_0_119,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20] :
( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
| eqangle(X14,X13,X15,X16,X17,X18,X19,X20) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD18])]) ).
cnf(c_0_120,negated_conjecture,
( perp(esk3_0,esk5_0,X1,X2)
| ~ perp(X3,X4,esk5_0,esk8_0)
| ~ perp(X4,X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_121,negated_conjecture,
perp(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_122,negated_conjecture,
perp(esk5_0,esk3_0,esk5_0,esk8_0),
inference(spm,[status(thm)],[c_0_37,c_0_118]) ).
cnf(c_0_123,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ eqangle(X2,X1,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_124,negated_conjecture,
( perp(esk3_0,esk5_0,X1,X2)
| ~ perp(esk5_0,esk5_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_125,negated_conjecture,
perp(X1,X1,X2,X1),
inference(spm,[status(thm)],[c_0_113,c_0_121]) ).
cnf(c_0_126,negated_conjecture,
( para(X1,X2,esk5_0,esk8_0)
| ~ perp(X1,X2,esk5_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_122]) ).
cnf(c_0_127,negated_conjecture,
( perp(X1,X2,X1,X2)
| ~ perp(X3,X4,X4,X3) ),
inference(spm,[status(thm)],[c_0_97,c_0_83]) ).
cnf(c_0_128,negated_conjecture,
eqangle(X1,X2,X3,X4,X2,X1,X4,X3),
inference(spm,[status(thm)],[c_0_123,c_0_77]) ).
cnf(c_0_129,negated_conjecture,
perp(esk3_0,esk5_0,X1,esk5_0),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_130,negated_conjecture,
( perp(X1,X2,X3,X4)
| ~ perp(esk5_0,esk8_0,X3,X4)
| ~ perp(X1,X2,esk5_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_114,c_0_126]) ).
cnf(c_0_131,negated_conjecture,
perp(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_112])]) ).
cnf(c_0_132,negated_conjecture,
( perp(X1,X2,X3,X4)
| ~ perp(X2,X1,X4,X3) ),
inference(spm,[status(thm)],[c_0_97,c_0_128]) ).
cnf(c_0_133,negated_conjecture,
perp(X1,esk5_0,esk3_0,esk5_0),
inference(spm,[status(thm)],[c_0_37,c_0_129]) ).
fof(c_0_134,plain,
! [X15,X16,X17,X18] :
( ( coll(esk25_3(X15,X16,X17),X17,X16)
| ~ perp(X15,X18,X16,X17)
| ~ perp(X16,X18,X15,X17) )
& ( perp(X15,esk25_3(X15,X16,X17),X17,X16)
| ~ perp(X15,X18,X16,X17)
| ~ perp(X16,X18,X15,X17) )
& ( coll(esk26_3(X15,X16,X17),X17,X15)
| ~ perp(X15,X18,X16,X17)
| ~ perp(X16,X18,X15,X17) )
& ( perp(X16,esk26_3(X15,X16,X17),X17,X15)
| ~ perp(X15,X18,X16,X17)
| ~ perp(X16,X18,X15,X17) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX10])])])])])]) ).
cnf(c_0_135,negated_conjecture,
( perp(X1,X2,esk5_0,esk8_0)
| ~ perp(X1,X2,esk5_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_136,negated_conjecture,
perp(esk5_0,X1,esk5_0,esk3_0),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_137,plain,
( perp(X3,esk25_3(X3,X1,X4),X4,X1)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X2,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_138,negated_conjecture,
perp(X1,X2,X2,X2),
inference(spm,[status(thm)],[c_0_37,c_0_125]) ).
cnf(c_0_139,negated_conjecture,
perp(esk5_0,X1,esk5_0,esk8_0),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_140,negated_conjecture,
( perp(X1,X2,X3,X4)
| ~ perp(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_114,c_0_62]) ).
cnf(c_0_141,negated_conjecture,
perp(X1,esk25_3(X1,X2,X2),X2,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_125])]) ).
cnf(c_0_142,negated_conjecture,
( perp(esk3_0,esk5_0,X1,X2)
| ~ perp(X3,esk5_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_120,c_0_139]) ).
cnf(c_0_143,negated_conjecture,
perp(esk25_3(X1,X2,X2),X1,X2,X2),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_144,negated_conjecture,
perp(esk3_0,esk5_0,X1,X1),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_145,negated_conjecture,
perp(X1,X1,esk3_0,esk5_0),
inference(spm,[status(thm)],[c_0_37,c_0_144]) ).
cnf(c_0_146,negated_conjecture,
( perp(X1,X2,X3,X4)
| ~ perp(esk3_0,esk5_0,X3,X4)
| ~ perp(X1,X2,esk5_0,esk8_0) ),
inference(spm,[status(thm)],[c_0_114,c_0_102]) ).
cnf(c_0_147,negated_conjecture,
perp(esk3_0,esk5_0,esk5_0,X1),
inference(spm,[status(thm)],[c_0_124,c_0_121]) ).
cnf(c_0_148,negated_conjecture,
perp(X1,X1,esk5_0,esk3_0),
inference(spm,[status(thm)],[c_0_113,c_0_145]) ).
fof(c_0_149,plain,
! [X5,X6,X7,X8] :
( ~ cyclic(X5,X6,X7,X8)
| ~ para(X5,X6,X7,X8)
| eqangle(X5,X8,X7,X8,X7,X8,X7,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD54])]) ).
cnf(c_0_150,negated_conjecture,
perp(esk5_0,esk25_3(esk5_0,esk5_0,esk8_0),esk8_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_122]),c_0_122])]) ).
cnf(c_0_151,negated_conjecture,
( perp(X1,X2,esk5_0,X3)
| ~ perp(X1,X2,esk5_0,esk8_0) ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_152,negated_conjecture,
perp(X1,X1,esk5_0,esk8_0),
inference(spm,[status(thm)],[c_0_135,c_0_148]) ).
cnf(c_0_153,plain,
( eqangle(X1,X2,X3,X2,X3,X2,X3,X4)
| ~ para(X1,X4,X3,X2)
| ~ cyclic(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_149]) ).
cnf(c_0_154,negated_conjecture,
( para(X1,X2,esk8_0,esk5_0)
| ~ perp(X1,X2,esk5_0,esk25_3(esk5_0,esk5_0,esk8_0)) ),
inference(spm,[status(thm)],[c_0_35,c_0_150]) ).
cnf(c_0_155,negated_conjecture,
perp(X1,X1,esk5_0,X2),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
fof(c_0_156,plain,
! [X9,X10,X11,X12,X13] :
( ~ circle(X12,X9,X10,X11)
| ~ coll(X13,X10,X11)
| ~ eqangle(X9,X10,X9,X11,X12,X10,X12,X13)
| midp(X13,X10,X11) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])]) ).
cnf(c_0_157,plain,
( eqangle(X1,X2,X3,X2,X3,X2,X3,X4)
| ~ eqangle(X3,X1,X3,X4,X2,X1,X2,X4)
| ~ para(X1,X4,X3,X2)
| ~ coll(X3,X2,X4) ),
inference(spm,[status(thm)],[c_0_153,c_0_72]) ).
cnf(c_0_158,negated_conjecture,
para(X1,X1,esk8_0,esk5_0),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_159,plain,
( midp(X1,X2,X3)
| ~ eqangle(X4,X2,X4,X3,X5,X2,X5,X1)
| ~ coll(X1,X2,X3)
| ~ circle(X5,X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
cnf(c_0_160,plain,
( eqangle(X1,X2,X3,X2,X3,X2,X3,X4)
| ~ eqangle(X3,X1,X3,X4,X2,X1,X2,X4)
| ~ para(X1,X4,X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_157,c_0_80])]) ).
cnf(c_0_161,negated_conjecture,
para(esk8_0,esk5_0,X1,X1),
inference(spm,[status(thm)],[c_0_101,c_0_158]) ).
fof(c_0_162,plain,
! [X8,X9,X10,X11,X12] :
( ~ midp(X12,X8,X9)
| ~ para(X8,X10,X9,X11)
| ~ para(X8,X11,X9,X10)
| midp(X12,X10,X11) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_163,plain,
( midp(X1,X2,X3)
| ~ eqangle(X4,X2,X4,X3,X5,X2,X5,X1)
| ~ circle(X5,X4,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_80])]) ).
cnf(c_0_164,negated_conjecture,
eqangle(esk8_0,X1,X1,X1,X1,X1,X1,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_85])]) ).
fof(c_0_165,plain,
! [X9,X10,X11,X12] :
( ~ cong(X12,X9,X12,X10)
| ~ cong(X12,X9,X12,X11)
| circle(X12,X9,X10,X11) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD12])]) ).
cnf(c_0_166,plain,
( midp(X1,X2,X3)
| ~ para(X4,X3,X5,X2)
| ~ para(X4,X2,X5,X3)
| ~ midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
cnf(c_0_167,negated_conjecture,
( midp(esk5_0,esk8_0,esk8_0)
| ~ circle(esk8_0,esk8_0,esk8_0,esk8_0) ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_168,plain,
( circle(X1,X2,X3,X4)
| ~ cong(X1,X2,X1,X4)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_165]) ).
cnf(c_0_169,negated_conjecture,
perp(X1,esk5_0,esk5_0,esk3_0),
inference(spm,[status(thm)],[c_0_113,c_0_133]) ).
fof(c_0_170,plain,
! [X4,X5,X6] :
( ~ midp(X4,X5,X6)
| cong(X4,X5,X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_171,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_57]),c_0_57])]) ).
cnf(c_0_172,negated_conjecture,
midp(esk5_0,esk8_0,esk8_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_100])]) ).
cnf(c_0_173,negated_conjecture,
perp(esk5_0,esk25_3(esk5_0,esk5_0,esk3_0),esk3_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_118]),c_0_118])]) ).
cnf(c_0_174,negated_conjecture,
perp(X1,esk5_0,esk5_0,esk8_0),
inference(spm,[status(thm)],[c_0_135,c_0_169]) ).
fof(c_0_175,plain,
! [X11,X12,X13,X14] :
( ~ cong(X11,X13,X12,X13)
| ~ cong(X11,X14,X12,X14)
| perp(X11,X12,X13,X14) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).
cnf(c_0_176,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_170]) ).
cnf(c_0_177,negated_conjecture,
midp(esk5_0,X1,X1),
inference(spm,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_178,negated_conjecture,
perp(esk3_0,esk5_0,esk8_0,esk5_0),
inference(spm,[status(thm)],[c_0_113,c_0_86]) ).
cnf(c_0_179,negated_conjecture,
( para(X1,X2,esk3_0,esk5_0)
| ~ perp(X1,X2,esk5_0,esk25_3(esk5_0,esk5_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_35,c_0_173]) ).
cnf(c_0_180,negated_conjecture,
perp(X1,esk5_0,esk5_0,X2),
inference(spm,[status(thm)],[c_0_151,c_0_174]) ).
cnf(c_0_181,plain,
( perp(X1,X2,X3,X4)
| ~ cong(X1,X4,X2,X4)
| ~ cong(X1,X3,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_175]) ).
cnf(c_0_182,negated_conjecture,
cong(esk5_0,X1,esk5_0,X1),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_183,negated_conjecture,
( para(X1,X2,esk8_0,esk5_0)
| ~ perp(X1,X2,esk3_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_178]) ).
cnf(c_0_184,negated_conjecture,
para(X1,esk5_0,esk3_0,esk5_0),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_185,negated_conjecture,
perp(esk5_0,esk5_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_182])]) ).
cnf(c_0_186,negated_conjecture,
( para(esk8_0,esk5_0,X1,X2)
| ~ perp(X1,X2,esk3_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_101,c_0_183]) ).
cnf(c_0_187,negated_conjecture,
( perp(X1,esk5_0,X2,X3)
| ~ perp(esk3_0,esk5_0,X2,X3) ),
inference(spm,[status(thm)],[c_0_114,c_0_184]) ).
cnf(c_0_188,negated_conjecture,
perp(esk3_0,esk5_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_185]),c_0_185])]) ).
cnf(c_0_189,negated_conjecture,
~ para(esk8_0,esk5_0,esk7_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_190,negated_conjecture,
( para(esk8_0,esk5_0,X1,X2)
| ~ perp(X2,X1,esk3_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_186]) ).
cnf(c_0_191,negated_conjecture,
perp(X1,esk5_0,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_187,c_0_188])]) ).
cnf(c_0_192,negated_conjecture,
~ perp(esk6_0,esk7_0,esk3_0,esk5_0),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_193,negated_conjecture,
perp(X1,X2,X3,esk5_0),
inference(spm,[status(thm)],[c_0_37,c_0_191]) ).
cnf(c_0_194,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_192,c_0_193])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO654+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jun 17 16:20:36 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.25/2.44 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/2.44 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/2.44 # Preprocessing time : 0.024 s
% 0.25/2.44
% 0.25/2.44 # Proof found!
% 0.25/2.44 # SZS status Theorem
% 0.25/2.44 # SZS output start CNFRefutation
% See solution above
% 0.25/2.44 # Proof object total steps : 195
% 0.25/2.44 # Proof object clause steps : 130
% 0.25/2.44 # Proof object formula steps : 65
% 0.25/2.44 # Proof object conjectures : 87
% 0.25/2.44 # Proof object clause conjectures : 84
% 0.25/2.44 # Proof object formula conjectures : 3
% 0.25/2.44 # Proof object initial clauses used : 34
% 0.25/2.44 # Proof object initial formulas used : 32
% 0.25/2.44 # Proof object generating inferences : 86
% 0.25/2.44 # Proof object simplifying inferences : 42
% 0.25/2.44 # Training examples: 0 positive, 0 negative
% 0.25/2.44 # Parsed axioms : 95
% 0.25/2.44 # Removed by relevancy pruning/SinE : 21
% 0.25/2.44 # Initial clauses : 103
% 0.25/2.44 # Removed in clause preprocessing : 0
% 0.25/2.44 # Initial clauses in saturation : 103
% 0.25/2.44 # Processed clauses : 6772
% 0.25/2.44 # ...of these trivial : 852
% 0.25/2.44 # ...subsumed : 2465
% 0.25/2.44 # ...remaining for further processing : 3455
% 0.25/2.44 # Other redundant clauses eliminated : 0
% 0.25/2.44 # Clauses deleted for lack of memory : 0
% 0.25/2.44 # Backward-subsumed : 220
% 0.25/2.44 # Backward-rewritten : 1637
% 0.25/2.44 # Generated clauses : 59059
% 0.25/2.44 # ...of the previous two non-trivial : 51269
% 0.25/2.44 # Contextual simplify-reflections : 42
% 0.25/2.44 # Paramodulations : 59059
% 0.25/2.44 # Factorizations : 0
% 0.25/2.44 # Equation resolutions : 0
% 0.25/2.44 # Current number of processed clauses : 1598
% 0.25/2.44 # Positive orientable unit clauses : 443
% 0.25/2.44 # Positive unorientable unit clauses: 0
% 0.25/2.44 # Negative unit clauses : 6
% 0.25/2.44 # Non-unit-clauses : 1149
% 0.25/2.44 # Current number of unprocessed clauses: 21626
% 0.25/2.44 # ...number of literals in the above : 78627
% 0.25/2.44 # Current number of archived formulas : 0
% 0.25/2.44 # Current number of archived clauses : 1857
% 0.25/2.44 # Clause-clause subsumption calls (NU) : 620851
% 0.25/2.44 # Rec. Clause-clause subsumption calls : 532206
% 0.25/2.44 # Non-unit clause-clause subsumptions : 2535
% 0.25/2.44 # Unit Clause-clause subsumption calls : 49163
% 0.25/2.44 # Rewrite failures with RHS unbound : 0
% 0.25/2.44 # BW rewrite match attempts : 38195
% 0.25/2.44 # BW rewrite match successes : 980
% 0.25/2.44 # Condensation attempts : 0
% 0.25/2.44 # Condensation successes : 0
% 0.25/2.44 # Termbank termtop insertions : 872432
% 0.25/2.44
% 0.25/2.44 # -------------------------------------------------
% 0.25/2.44 # User time : 1.383 s
% 0.25/2.44 # System time : 0.022 s
% 0.25/2.44 # Total time : 1.405 s
% 0.25/2.44 # Maximum resident set size: 33752 pages
% 0.25/23.43 eprover: CPU time limit exceeded, terminating
% 0.25/23.43 eprover: CPU time limit exceeded, terminating
% 0.25/23.43 eprover: CPU time limit exceeded, terminating
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: eprover: No such file or directory
% 0.25/23.45 Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.50 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------