%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO598+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n028.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 04:06:37 EDT 2022
% Result : Theorem 0.25s 2.42s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 23
% Syntax : Number of formulae : 138 ( 44 unt; 0 def)
% Number of atoms : 285 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 242 ( 95 ~; 92 |; 31 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-4 aty)
% Number of variables : 518 ( 42 sgn 272 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL416060,conjecture,
! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20] :
( ( circle(X4,X1,X2,X3)
& midp(X5,X3,X2)
& midp(X6,X1,X3)
& midp(X13,X2,X1)
& coll(X14,X4,X13)
& circle(X4,X1,X14,X20)
& perp(X19,X14,X1,X3)
& coll(X19,X1,X3) )
=> eqangle(X6,X13,X13,X19,X19,X13,X13,X5) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',exemplo6GDDFULL416060) ).
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(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(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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(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(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(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(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(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(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(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(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(ruleD20,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X9,X10,X11,X12,X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
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(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(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(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(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(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(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_23,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20] :
( ( circle(X4,X1,X2,X3)
& midp(X5,X3,X2)
& midp(X6,X1,X3)
& midp(X13,X2,X1)
& coll(X14,X4,X13)
& circle(X4,X1,X14,X20)
& perp(X19,X14,X1,X3)
& coll(X19,X1,X3) )
=> eqangle(X6,X13,X13,X19,X19,X13,X13,X5) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL416060]) ).
fof(c_0_24,plain,
! [X4,X5,X6] :
( ~ midp(X4,X5,X6)
| cong(X4,X5,X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
fof(c_0_25,negated_conjecture,
( circle(esk4_0,esk1_0,esk2_0,esk3_0)
& midp(esk5_0,esk3_0,esk2_0)
& midp(esk6_0,esk1_0,esk3_0)
& midp(esk7_0,esk2_0,esk1_0)
& coll(esk8_0,esk4_0,esk7_0)
& circle(esk4_0,esk1_0,esk8_0,esk10_0)
& perp(esk9_0,esk8_0,esk1_0,esk3_0)
& coll(esk9_0,esk1_0,esk3_0)
& ~ eqangle(esk6_0,esk7_0,esk7_0,esk9_0,esk9_0,esk7_0,esk7_0,esk5_0) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).
fof(c_0_26,plain,
! [X5,X6,X7,X8] :
( ~ cong(X5,X6,X7,X8)
| cong(X5,X6,X8,X7) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_27,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_28,negated_conjecture,
midp(esk6_0,esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_29,plain,
! [X8,X9,X10] :
( ~ midp(X10,X9,X8)
| midp(X10,X8,X9) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
fof(c_0_30,plain,
! [X5,X6,X7,X8] :
( ~ cong(X5,X6,X7,X8)
| cong(X7,X8,X5,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_31,plain,
( cong(X1,X2,X3,X4)
| ~ cong(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,negated_conjecture,
cong(esk6_0,esk1_0,esk6_0,esk3_0),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,plain,
( midp(X1,X2,X3)
| ~ midp(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_34,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_35,plain,
! [X10,X11,X12,X13] :
( ~ circle(X13,X10,X11,X12)
| perp(esk22_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_36,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])]) ).
fof(c_0_37,plain,
! [X8,X9,X10,X11,X12] :
( ~ midp(X12,X8,X9)
| ~ midp(X12,X10,X11)
| para(X8,X10,X9,X11) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])])])]) ).
cnf(c_0_38,plain,
( cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_39,negated_conjecture,
cong(esk6_0,esk1_0,esk3_0,esk6_0),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_40,negated_conjecture,
midp(esk6_0,esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_33,c_0_28]) ).
fof(c_0_41,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ cong(X7,X8,X9,X10)
| ~ cong(X9,X10,X11,X12)
| cong(X7,X8,X11,X12) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).
cnf(c_0_42,plain,
( para(X1,X2,X3,X4)
| ~ perp(X5,X6,X3,X4)
| ~ perp(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_43,plain,
( perp(esk22_4(X1,X2,X3,X4),X1,X1,X4)
| ~ circle(X4,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_44,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_45,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_46,plain,
( para(X1,X2,X3,X4)
| ~ midp(X5,X2,X4)
| ~ midp(X5,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_47,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_48,negated_conjecture,
cong(esk3_0,esk6_0,esk6_0,esk1_0),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_49,negated_conjecture,
cong(esk6_0,esk3_0,esk6_0,esk1_0),
inference(spm,[status(thm)],[c_0_27,c_0_40]) ).
cnf(c_0_50,plain,
( cong(X1,X2,X3,X4)
| ~ cong(X5,X6,X3,X4)
| ~ cong(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_51,plain,
( para(X1,X2,X3,X4)
| ~ circle(X4,X3,X5,X6)
| ~ perp(X1,X2,esk22_4(X3,X5,X6,X4),X3) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_52,plain,
( perp(X1,X2,esk22_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_44,c_0_43]) ).
cnf(c_0_53,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| ~ para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_54,negated_conjecture,
( para(X1,esk1_0,X2,esk3_0)
| ~ midp(esk6_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_28]) ).
cnf(c_0_55,negated_conjecture,
perp(esk9_0,esk8_0,esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_56,plain,
( perp(X1,X2,X3,X4)
| ~ cong(X1,X4,X2,X4)
| ~ cong(X1,X3,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_57,negated_conjecture,
cong(esk3_0,esk6_0,esk1_0,esk6_0),
inference(spm,[status(thm)],[c_0_31,c_0_48]) ).
cnf(c_0_58,negated_conjecture,
cong(esk6_0,esk3_0,esk1_0,esk6_0),
inference(spm,[status(thm)],[c_0_31,c_0_49]) ).
cnf(c_0_59,negated_conjecture,
( cong(X1,X2,esk6_0,esk3_0)
| ~ cong(X1,X2,esk6_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_32]) ).
cnf(c_0_60,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_61,negated_conjecture,
circle(esk4_0,esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_62,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_63,negated_conjecture,
( eqangle(X1,esk1_0,X2,X3,X4,esk3_0,X2,X3)
| ~ midp(esk6_0,X1,X4) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
fof(c_0_64,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_65,negated_conjecture,
perp(esk1_0,esk3_0,esk9_0,esk8_0),
inference(spm,[status(thm)],[c_0_44,c_0_55]) ).
cnf(c_0_66,negated_conjecture,
( perp(esk3_0,esk1_0,X1,esk6_0)
| ~ cong(esk3_0,X1,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_67,negated_conjecture,
( cong(X1,X2,esk1_0,esk6_0)
| ~ cong(X1,X2,esk6_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_58]) ).
cnf(c_0_68,negated_conjecture,
cong(esk3_0,esk6_0,esk6_0,esk3_0),
inference(spm,[status(thm)],[c_0_59,c_0_48]) ).
cnf(c_0_69,negated_conjecture,
para(esk1_0,esk4_0,esk1_0,esk4_0),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
fof(c_0_70,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])]) ).
fof(c_0_71,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20] :
( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
| eqangle(X17,X18,X19,X20,X13,X14,X15,X16) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).
cnf(c_0_72,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_62]) ).
cnf(c_0_73,negated_conjecture,
eqangle(esk1_0,esk1_0,X1,X2,esk3_0,esk3_0,X1,X2),
inference(spm,[status(thm)],[c_0_63,c_0_28]) ).
fof(c_0_74,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_75,plain,
( para(X1,X2,X3,X4)
| ~ para(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_76,negated_conjecture,
( para(X1,X2,esk9_0,esk8_0)
| ~ perp(X1,X2,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_42,c_0_65]) ).
fof(c_0_77,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])]) ).
cnf(c_0_78,negated_conjecture,
perp(esk3_0,esk1_0,esk6_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68])]) ).
fof(c_0_79,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])]) ).
fof(c_0_80,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_81,negated_conjecture,
eqangle(esk1_0,esk4_0,X1,X2,esk1_0,esk4_0,X1,X2),
inference(spm,[status(thm)],[c_0_53,c_0_69]) ).
cnf(c_0_82,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_70]) ).
cnf(c_0_83,negated_conjecture,
( para(X1,X2,esk1_0,esk3_0)
| ~ perp(X1,X2,esk9_0,esk8_0) ),
inference(spm,[status(thm)],[c_0_42,c_0_55]) ).
fof(c_0_84,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_85,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ eqangle(X5,X6,X7,X8,X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_86,negated_conjecture,
eqangle(X1,X2,esk1_0,esk1_0,X1,X2,esk3_0,esk3_0),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_87,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X5,X6,X3,X4)
| ~ para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_88,negated_conjecture,
( para(esk9_0,esk8_0,X1,X2)
| ~ perp(X1,X2,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_89,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_90,negated_conjecture,
perp(esk6_0,esk6_0,esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_44,c_0_78]) ).
cnf(c_0_91,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_79]) ).
cnf(c_0_92,negated_conjecture,
cong(esk6_0,esk3_0,esk6_0,esk3_0),
inference(spm,[status(thm)],[c_0_59,c_0_49]) ).
cnf(c_0_93,plain,
( para(X1,X2,X3,X4)
| ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_94,negated_conjecture,
eqangle(X1,X2,esk1_0,esk4_0,X1,X2,esk1_0,esk4_0),
inference(spm,[status(thm)],[c_0_72,c_0_81]) ).
cnf(c_0_95,negated_conjecture,
( midp(X1,esk3_0,X2)
| ~ midp(X1,X3,esk1_0)
| ~ perp(X3,X2,esk9_0,esk8_0)
| ~ para(X3,esk3_0,esk1_0,X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_96,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_84]) ).
cnf(c_0_97,negated_conjecture,
eqangle(X1,X2,esk3_0,esk3_0,X1,X2,esk1_0,esk1_0),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_98,negated_conjecture,
( perp(esk9_0,esk8_0,X1,X2)
| ~ perp(X3,X4,esk1_0,esk3_0)
| ~ perp(X3,X4,X1,X2) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_99,negated_conjecture,
perp(esk6_0,esk6_0,esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_100,negated_conjecture,
eqangle(X1,X2,esk1_0,esk1_0,X2,X1,esk3_0,esk3_0),
inference(spm,[status(thm)],[c_0_91,c_0_86]) ).
cnf(c_0_101,negated_conjecture,
( perp(esk6_0,esk6_0,X1,esk3_0)
| ~ cong(esk6_0,X1,esk6_0,X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_92]) ).
cnf(c_0_102,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_103,negated_conjecture,
( midp(X1,esk3_0,esk3_0)
| ~ midp(X1,X2,esk1_0)
| ~ perp(X2,esk3_0,esk9_0,esk8_0) ),
inference(spm,[status(thm)],[c_0_95,c_0_83]) ).
cnf(c_0_104,negated_conjecture,
( perp(X1,X2,esk3_0,esk3_0)
| ~ perp(X1,X2,esk1_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_105,negated_conjecture,
( perp(esk9_0,esk8_0,X1,X2)
| ~ perp(esk6_0,esk6_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_106,negated_conjecture,
( perp(X1,X2,esk1_0,esk1_0)
| ~ perp(X2,X1,esk3_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_96,c_0_100]) ).
cnf(c_0_107,negated_conjecture,
perp(esk6_0,esk6_0,esk3_0,esk3_0),
inference(spm,[status(thm)],[c_0_101,c_0_92]) ).
cnf(c_0_108,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_102]),c_0_102])]) ).
cnf(c_0_109,negated_conjecture,
( midp(esk6_0,esk3_0,esk3_0)
| ~ perp(esk3_0,esk3_0,esk9_0,esk8_0) ),
inference(spm,[status(thm)],[c_0_103,c_0_40]) ).
cnf(c_0_110,negated_conjecture,
( perp(esk9_0,esk8_0,esk3_0,esk3_0)
| ~ perp(esk6_0,esk6_0,esk1_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_111,negated_conjecture,
perp(esk6_0,esk6_0,esk1_0,esk1_0),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_112,negated_conjecture,
( midp(esk6_0,X1,X1)
| ~ perp(esk3_0,esk3_0,esk9_0,esk8_0) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_113,negated_conjecture,
perp(esk9_0,esk8_0,esk3_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_111])]) ).
cnf(c_0_114,negated_conjecture,
( cong(esk6_0,X1,esk6_0,X1)
| ~ perp(esk3_0,esk3_0,esk9_0,esk8_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_112]) ).
cnf(c_0_115,negated_conjecture,
perp(esk3_0,esk3_0,esk9_0,esk8_0),
inference(spm,[status(thm)],[c_0_44,c_0_113]) ).
cnf(c_0_116,negated_conjecture,
cong(esk6_0,X1,esk6_0,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_115])]) ).
cnf(c_0_117,negated_conjecture,
( perp(esk9_0,esk8_0,X1,X2)
| ~ perp(esk6_0,esk6_0,X2,X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_105]) ).
cnf(c_0_118,negated_conjecture,
perp(esk6_0,esk6_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_116]),c_0_116])]) ).
cnf(c_0_119,negated_conjecture,
perp(esk9_0,esk8_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_118])]) ).
cnf(c_0_120,negated_conjecture,
perp(esk1_0,esk3_0,esk8_0,esk9_0),
inference(spm,[status(thm)],[c_0_89,c_0_65]) ).
cnf(c_0_121,negated_conjecture,
( perp(X1,X2,X3,X4)
| ~ perp(X1,X2,esk1_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_76]),c_0_119])]) ).
cnf(c_0_122,negated_conjecture,
perp(esk8_0,esk9_0,esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_44,c_0_120]) ).
cnf(c_0_123,negated_conjecture,
perp(X1,X2,esk9_0,esk8_0),
inference(spm,[status(thm)],[c_0_44,c_0_119]) ).
cnf(c_0_124,negated_conjecture,
perp(esk8_0,esk9_0,X1,X2),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_125,negated_conjecture,
perp(X1,X2,esk8_0,esk9_0),
inference(spm,[status(thm)],[c_0_89,c_0_123]) ).
cnf(c_0_126,negated_conjecture,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_124]),c_0_125])]) ).
fof(c_0_127,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_128,plain,
eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_126])]) ).
fof(c_0_129,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_130,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_127]) ).
cnf(c_0_131,plain,
eqangle(X1,X2,X3,X4,X1,X2,X5,X6),
inference(spm,[status(thm)],[c_0_72,c_0_128]) ).
cnf(c_0_132,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_129]) ).
cnf(c_0_133,plain,
eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_134,plain,
eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
inference(spm,[status(thm)],[c_0_130,c_0_128]) ).
cnf(c_0_135,negated_conjecture,
~ eqangle(esk6_0,esk7_0,esk7_0,esk9_0,esk9_0,esk7_0,esk7_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_136,plain,
eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_134])]) ).
cnf(c_0_137,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_136])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO598+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 18 08:16:44 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.25/2.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/2.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/2.42 # Preprocessing time : 0.023 s
% 0.25/2.42
% 0.25/2.42 # Proof found!
% 0.25/2.42 # SZS status Theorem
% 0.25/2.42 # SZS output start CNFRefutation
% See solution above
% 0.25/2.42 # Proof object total steps : 138
% 0.25/2.42 # Proof object clause steps : 91
% 0.25/2.42 # Proof object formula steps : 47
% 0.25/2.42 # Proof object conjectures : 64
% 0.25/2.42 # Proof object clause conjectures : 61
% 0.25/2.42 # Proof object formula conjectures : 3
% 0.25/2.42 # Proof object initial clauses used : 26
% 0.25/2.42 # Proof object initial formulas used : 23
% 0.25/2.42 # Proof object generating inferences : 60
% 0.25/2.42 # Proof object simplifying inferences : 22
% 0.25/2.42 # Training examples: 0 positive, 0 negative
% 0.25/2.42 # Parsed axioms : 95
% 0.25/2.42 # Removed by relevancy pruning/SinE : 21
% 0.25/2.42 # Initial clauses : 101
% 0.25/2.42 # Removed in clause preprocessing : 0
% 0.25/2.42 # Initial clauses in saturation : 101
% 0.25/2.42 # Processed clauses : 6082
% 0.25/2.42 # ...of these trivial : 971
% 0.25/2.42 # ...subsumed : 869
% 0.25/2.42 # ...remaining for further processing : 4242
% 0.25/2.42 # Other redundant clauses eliminated : 0
% 0.25/2.42 # Clauses deleted for lack of memory : 0
% 0.25/2.42 # Backward-subsumed : 172
% 0.25/2.42 # Backward-rewritten : 2897
% 0.25/2.42 # Generated clauses : 50098
% 0.25/2.42 # ...of the previous two non-trivial : 43570
% 0.25/2.42 # Contextual simplify-reflections : 57
% 0.25/2.42 # Paramodulations : 50098
% 0.25/2.42 # Factorizations : 0
% 0.25/2.42 # Equation resolutions : 0
% 0.25/2.42 # Current number of processed clauses : 1173
% 0.25/2.42 # Positive orientable unit clauses : 343
% 0.25/2.42 # Positive unorientable unit clauses: 0
% 0.25/2.42 # Negative unit clauses : 0
% 0.25/2.42 # Non-unit-clauses : 830
% 0.25/2.42 # Current number of unprocessed clauses: 8518
% 0.25/2.42 # ...number of literals in the above : 30556
% 0.25/2.42 # Current number of archived formulas : 0
% 0.25/2.42 # Current number of archived clauses : 3069
% 0.25/2.42 # Clause-clause subsumption calls (NU) : 773224
% 0.25/2.42 # Rec. Clause-clause subsumption calls : 540919
% 0.25/2.42 # Non-unit clause-clause subsumptions : 993
% 0.25/2.42 # Unit Clause-clause subsumption calls : 174535
% 0.25/2.42 # Rewrite failures with RHS unbound : 0
% 0.25/2.42 # BW rewrite match attempts : 75331
% 0.25/2.42 # BW rewrite match successes : 2381
% 0.25/2.42 # Condensation attempts : 0
% 0.25/2.42 # Condensation successes : 0
% 0.25/2.42 # Termbank termtop insertions : 705779
% 0.25/2.42
% 0.25/2.42 # -------------------------------------------------
% 0.25/2.42 # User time : 1.257 s
% 0.25/2.42 # System time : 0.024 s
% 0.25/2.42 # Total time : 1.281 s
% 0.25/2.42 # Maximum resident set size: 31388 pages
% 0.25/23.41 eprover: CPU time limit exceeded, terminating
% 0.25/23.42 eprover: CPU time limit exceeded, terminating
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44 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
% 0.25/23.45 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.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.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.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.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.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.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
% 0.25/23.50 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
%------------------------------------------------------------------------------