TSTP Solution File: GEO562+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO562+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n019.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 04:06:22 EDT 2022
% Result : Theorem 0.25s 1.43s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 26
% Syntax : Number of formulae : 128 ( 32 unt; 0 def)
% Number of atoms : 320 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 312 ( 120 ~; 117 |; 48 &)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-5 aty)
% Number of variables : 564 ( 44 sgn 276 !; 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(exemplo6GDDFULL214023,conjecture,
! [X1,X3,X4,X8,X2,X7,X5,X6,X13,X19,X20] :
( ( circle(X8,X1,X3,X4)
& perp(X3,X8,X1,X2)
& circle(X8,X1,X2,X19)
& coll(X7,X3,X8)
& coll(X7,X1,X2)
& circle(X8,X1,X5,X20)
& coll(X6,X1,X2)
& coll(X6,X3,X4)
& coll(X13,X1,X2)
& coll(X13,X3,X5) )
=> eqangle(X1,X13,X13,X3,X3,X4,X4,X5) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',exemplo6GDDFULL214023) ).
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(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(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(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(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(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(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(ruleX15,axiom,
! [X1,X2,X3,X5,X6] :
? [X9] :
( ( perp(X1,X3,X3,X2)
& coll(X2,X5,X6) )
=> ( coll(X9,X5,X6)
& perp(X9,X1,X5,X6) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX15) ).
fof(ruleD52,axiom,
! [X1,X2,X3,X7] :
( ( perp(X1,X2,X2,X3)
& midp(X7,X1,X3) )
=> cong(X1,X7,X2,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
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(ruleD22,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12,X5,X6,X13,X14] :
( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
& eqangle(X9,X10,X11,X12,X5,X6,X13,X14) )
=> eqangle(X1,X2,X3,X4,X5,X6,X13,X14) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(c_0_26,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_27,plain,
! [X10,X11,X12,X13] :
( ~ circle(X13,X10,X11,X12)
| perp(esk21_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_28,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_29,plain,
( para(X1,X2,X3,X4)
| ~ perp(X5,X6,X3,X4)
| ~ perp(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_30,plain,
( perp(esk21_4(X1,X2,X3,X4),X1,X1,X4)
| ~ circle(X4,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_32,negated_conjecture,
~ ! [X1,X3,X4,X8,X2,X7,X5,X6,X13,X19,X20] :
( ( circle(X8,X1,X3,X4)
& perp(X3,X8,X1,X2)
& circle(X8,X1,X2,X19)
& coll(X7,X3,X8)
& coll(X7,X1,X2)
& circle(X8,X1,X5,X20)
& coll(X6,X1,X2)
& coll(X6,X3,X4)
& coll(X13,X1,X2)
& coll(X13,X3,X5) )
=> eqangle(X1,X13,X13,X3,X3,X4,X4,X5) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL214023]) ).
cnf(c_0_33,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_29,c_0_30]) ).
cnf(c_0_34,plain,
( perp(X1,X2,esk21_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_31,c_0_30]) ).
fof(c_0_35,negated_conjecture,
( circle(esk4_0,esk1_0,esk2_0,esk3_0)
& perp(esk2_0,esk4_0,esk1_0,esk5_0)
& circle(esk4_0,esk1_0,esk5_0,esk10_0)
& coll(esk6_0,esk2_0,esk4_0)
& coll(esk6_0,esk1_0,esk5_0)
& circle(esk4_0,esk1_0,esk7_0,esk11_0)
& coll(esk8_0,esk1_0,esk5_0)
& coll(esk8_0,esk2_0,esk3_0)
& coll(esk9_0,esk1_0,esk5_0)
& coll(esk9_0,esk2_0,esk7_0)
& ~ eqangle(esk1_0,esk9_0,esk9_0,esk2_0,esk2_0,esk3_0,esk3_0,esk7_0) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])]) ).
fof(c_0_36,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_37,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,negated_conjecture,
circle(esk4_0,esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_39,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_40,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| ~ para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_41,negated_conjecture,
para(esk1_0,esk4_0,esk1_0,esk4_0),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
fof(c_0_42,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_43,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_39]) ).
cnf(c_0_44,negated_conjecture,
eqangle(esk1_0,esk4_0,X1,X2,esk1_0,esk4_0,X1,X2),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
fof(c_0_45,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_46,plain,
( para(X1,X2,X3,X4)
| ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_47,negated_conjecture,
eqangle(X1,X2,esk1_0,esk4_0,X1,X2,esk1_0,esk4_0),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
fof(c_0_48,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_49,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_50,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_51,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_52,plain,
( para(X1,X2,X3,X4)
| ~ para(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
fof(c_0_53,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_54,plain,
( coll(X1,X2,X3)
| ~ coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_55,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_56,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_52,c_0_51]) ).
fof(c_0_57,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_58,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_59,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_60,plain,
( coll(X1,X2,X3)
| ~ coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_61,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
fof(c_0_62,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_63,negated_conjecture,
eqangle(X1,X2,X3,X4,X2,X1,X3,X4),
inference(spm,[status(thm)],[c_0_40,c_0_56]) ).
fof(c_0_64,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])]) ).
fof(c_0_65,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_66,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_57]) ).
cnf(c_0_67,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_58]) ).
cnf(c_0_68,plain,
( coll(X1,X2,X3)
| ~ coll(X3,X4,X2)
| ~ coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_69,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
fof(c_0_70,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_71,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_62]) ).
cnf(c_0_72,negated_conjecture,
eqangle(X1,X2,X3,X4,X1,X2,X4,X3),
inference(spm,[status(thm)],[c_0_43,c_0_63]) ).
cnf(c_0_73,plain,
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_74,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_75,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_66,c_0_67]) ).
cnf(c_0_76,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])]) ).
cnf(c_0_77,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_70]) ).
cnf(c_0_78,negated_conjecture,
eqangle(X1,X2,X1,X2,X3,X4,X4,X3),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_79,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_73,c_0_67]) ).
cnf(c_0_80,negated_conjecture,
eqangle(X1,X2,X3,X4,X1,X2,X3,X4),
inference(spm,[status(thm)],[c_0_40,c_0_51]) ).
fof(c_0_81,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_82,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_74]) ).
fof(c_0_83,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_84,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_75,c_0_76])]) ).
cnf(c_0_85,negated_conjecture,
( cong(X1,X1,X2,X2)
| ~ cyclic(X1,X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_86,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_79,c_0_76])]) ).
cnf(c_0_87,negated_conjecture,
eqangle(X1,X2,X1,X2,X3,X4,X3,X4),
inference(spm,[status(thm)],[c_0_71,c_0_80]) ).
cnf(c_0_88,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_81]) ).
cnf(c_0_89,plain,
( coll(X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_82]) ).
fof(c_0_90,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_91,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_83]) ).
cnf(c_0_92,plain,
( perp(X1,X1,X1,X1)
| ~ cong(X1,X1,X1,X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_74]) ).
cnf(c_0_93,negated_conjecture,
cong(X1,X1,X2,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87])]) ).
fof(c_0_94,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_95,plain,
( midp(X1,X1,X1)
| ~ circle(X1,X1,X1,X1)
| ~ cong(X1,X1,X1,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_74]),c_0_89]) ).
cnf(c_0_96,plain,
( circle(X1,X2,X3,X4)
| ~ cong(X1,X2,X1,X4)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_97,negated_conjecture,
eqangle(X1,X2,X2,X1,X3,X4,X3,X4),
inference(spm,[status(thm)],[c_0_71,c_0_63]) ).
cnf(c_0_98,negated_conjecture,
( perp(X1,X2,X1,X2)
| ~ perp(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_91,c_0_87]) ).
cnf(c_0_99,plain,
perp(X1,X1,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_93])]) ).
cnf(c_0_100,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_94]) ).
cnf(c_0_101,plain,
( midp(X1,X1,X1)
| ~ cong(X1,X1,X1,X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
fof(c_0_102,plain,
! [X10,X11,X12,X13,X14] :
( ( coll(esk18_5(X10,X11,X12,X13,X14),X13,X14)
| ~ perp(X10,X12,X12,X11)
| ~ coll(X11,X13,X14) )
& ( perp(esk18_5(X10,X11,X12,X13,X14),X10,X13,X14)
| ~ perp(X10,X12,X12,X11)
| ~ coll(X11,X13,X14) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX15])])])])]) ).
fof(c_0_103,plain,
! [X8,X9,X10,X11] :
( ~ perp(X8,X9,X9,X10)
| ~ midp(X11,X8,X10)
| cong(X8,X11,X9,X11) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD52])]) ).
cnf(c_0_104,negated_conjecture,
( perp(X1,X2,X2,X1)
| ~ perp(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_91,c_0_97]) ).
cnf(c_0_105,negated_conjecture,
perp(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_106,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_51]),c_0_51])]) ).
cnf(c_0_107,plain,
midp(X1,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_93])]) ).
cnf(c_0_108,plain,
( perp(esk18_5(X4,X1,X5,X2,X3),X4,X2,X3)
| ~ coll(X1,X2,X3)
| ~ perp(X4,X5,X5,X1) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
fof(c_0_109,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_110,plain,
( cong(X1,X2,X3,X2)
| ~ midp(X2,X1,X4)
| ~ perp(X1,X3,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_111,negated_conjecture,
perp(X1,X2,X2,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_105])]) ).
cnf(c_0_112,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_113,plain,
( para(X1,X2,X3,X4)
| ~ perp(X1,X2,esk18_5(X5,X6,X7,X3,X4),X5)
| ~ perp(X5,X7,X7,X6)
| ~ coll(X6,X3,X4) ),
inference(spm,[status(thm)],[c_0_29,c_0_108]) ).
cnf(c_0_114,plain,
( perp(X1,X2,X3,X4)
| ~ cong(X1,X4,X2,X4)
| ~ cong(X1,X3,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_115,negated_conjecture,
cong(X1,X2,X3,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112])]) ).
cnf(c_0_116,plain,
( para(X1,X2,X3,X4)
| ~ perp(X1,X2,esk18_5(X5,X6,X7,X3,X4),X5)
| ~ perp(X5,X7,X7,X6) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_76])]) ).
cnf(c_0_117,plain,
perp(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_115]),c_0_115])]) ).
cnf(c_0_118,plain,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_117]),c_0_117])]) ).
cnf(c_0_119,plain,
eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_118])]) ).
fof(c_0_120,plain,
! [X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26] :
( ~ eqangle(X15,X16,X17,X18,X19,X20,X21,X22)
| ~ eqangle(X19,X20,X21,X22,X23,X24,X25,X26)
| eqangle(X15,X16,X17,X18,X23,X24,X25,X26) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])]) ).
cnf(c_0_121,plain,
eqangle(X1,X2,X3,X4,X1,X2,X5,X6),
inference(spm,[status(thm)],[c_0_43,c_0_119]) ).
cnf(c_0_122,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ eqangle(X9,X10,X11,X12,X5,X6,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X9,X10,X11,X12) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_123,plain,
eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
inference(spm,[status(thm)],[c_0_71,c_0_121]) ).
cnf(c_0_124,plain,
eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
inference(spm,[status(thm)],[c_0_71,c_0_119]) ).
cnf(c_0_125,negated_conjecture,
~ eqangle(esk1_0,esk9_0,esk9_0,esk2_0,esk2_0,esk3_0,esk3_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_126,plain,
eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124])]) ).
cnf(c_0_127,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_126])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO562+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.14 % Command : run_ET %s %d
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 18 16:54:09 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.25/1.43 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.43 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.43 # Preprocessing time : 0.023 s
% 0.25/1.43
% 0.25/1.43 # Proof found!
% 0.25/1.43 # SZS status Theorem
% 0.25/1.43 # SZS output start CNFRefutation
% See solution above
% 0.25/1.43 # Proof object total steps : 128
% 0.25/1.43 # Proof object clause steps : 75
% 0.25/1.43 # Proof object formula steps : 53
% 0.25/1.43 # Proof object conjectures : 30
% 0.25/1.43 # Proof object clause conjectures : 27
% 0.25/1.43 # Proof object formula conjectures : 3
% 0.25/1.43 # Proof object initial clauses used : 27
% 0.25/1.43 # Proof object initial formulas used : 26
% 0.25/1.43 # Proof object generating inferences : 38
% 0.25/1.43 # Proof object simplifying inferences : 33
% 0.25/1.43 # Training examples: 0 positive, 0 negative
% 0.25/1.43 # Parsed axioms : 95
% 0.25/1.43 # Removed by relevancy pruning/SinE : 21
% 0.25/1.43 # Initial clauses : 103
% 0.25/1.43 # Removed in clause preprocessing : 0
% 0.25/1.43 # Initial clauses in saturation : 103
% 0.25/1.43 # Processed clauses : 5582
% 0.25/1.43 # ...of these trivial : 1440
% 0.25/1.43 # ...subsumed : 1293
% 0.25/1.43 # ...remaining for further processing : 2849
% 0.25/1.43 # Other redundant clauses eliminated : 0
% 0.25/1.43 # Clauses deleted for lack of memory : 0
% 0.25/1.43 # Backward-subsumed : 46
% 0.25/1.43 # Backward-rewritten : 2795
% 0.25/1.43 # Generated clauses : 29032
% 0.25/1.43 # ...of the previous two non-trivial : 26369
% 0.25/1.43 # Contextual simplify-reflections : 118
% 0.25/1.43 # Paramodulations : 29032
% 0.25/1.43 # Factorizations : 0
% 0.25/1.43 # Equation resolutions : 0
% 0.25/1.43 # Current number of processed clauses : 8
% 0.25/1.43 # Positive orientable unit clauses : 8
% 0.25/1.43 # Positive unorientable unit clauses: 0
% 0.25/1.43 # Negative unit clauses : 0
% 0.25/1.43 # Non-unit-clauses : 0
% 0.25/1.43 # Current number of unprocessed clauses: 283
% 0.25/1.43 # ...number of literals in the above : 725
% 0.25/1.43 # Current number of archived formulas : 0
% 0.25/1.43 # Current number of archived clauses : 2841
% 0.25/1.43 # Clause-clause subsumption calls (NU) : 434229
% 0.25/1.43 # Rec. Clause-clause subsumption calls : 360190
% 0.25/1.43 # Non-unit clause-clause subsumptions : 1434
% 0.25/1.43 # Unit Clause-clause subsumption calls : 35021
% 0.25/1.43 # Rewrite failures with RHS unbound : 0
% 0.25/1.43 # BW rewrite match attempts : 24518
% 0.25/1.43 # BW rewrite match successes : 1962
% 0.25/1.43 # Condensation attempts : 0
% 0.25/1.43 # Condensation successes : 0
% 0.25/1.43 # Termbank termtop insertions : 406410
% 0.25/1.43
% 0.25/1.43 # -------------------------------------------------
% 0.25/1.43 # User time : 0.821 s
% 0.25/1.43 # System time : 0.014 s
% 0.25/1.43 # Total time : 0.835 s
% 0.25/1.43 # Maximum resident set size: 18968 pages
% 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
% 0.25/23.46 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: CPU time limit exceeded, terminating
% 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
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.48 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.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.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.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.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
% 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
% 0.25/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.51 eprover: No such file or directory
% 0.25/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.51 eprover: No such file or directory
% 0.25/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.51 eprover: No such file or directory
% 0.25/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.52 eprover: No such file or directory
% 0.25/23.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.53 eprover: No such file or directory
% 0.25/23.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.53 eprover: No such file or directory
%------------------------------------------------------------------------------