TSTP Solution File: GEO613+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO613+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n003.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 04:06:42 EDT 2022
% Result : Theorem 0.22s 1.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 27
% Syntax : Number of formulae : 141 ( 39 unt; 0 def)
% Number of atoms : 313 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 279 ( 107 ~; 104 |; 40 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 17 ( 17 usr; 16 con; 0-4 aty)
% Number of variables : 559 ( 52 sgn 290 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD9,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( perp(X1,X2,X3,X4)
& perp(X3,X4,X5,X6) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(ruleX11,axiom,
! [X1,X2,X3,X8] :
? [X9] :
( circle(X8,X1,X2,X3)
=> perp(X9,X1,X1,X8) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
fof(ruleD8,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(exemplo6GDDFULL618075y,conjecture,
! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20,X21,X22,X23,X24,X25,X26] :
( ( circle(X1,X2,X19,X20)
& circle(X3,X2,X21,X22)
& circle(X1,X2,X4,X23)
& circle(X3,X2,X4,X24)
& midp(X5,X4,X2)
& circle(X1,X2,X6,X25)
& circle(X3,X2,X13,X26)
& coll(X13,X2,X6)
& coll(X14,X1,X6)
& coll(X14,X3,X13) )
=> eqangle(X6,X4,X4,X13,X1,X14,X14,X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',exemplo6GDDFULL618075y) ).
fof(ruleD40,axiom,
! [X1,X2,X3,X4,X9,X10] :
( para(X1,X2,X3,X4)
=> eqangle(X1,X2,X9,X10,X3,X4,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(ruleD19,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X3,X4,X1,X2,X11,X12,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(ruleD39,axiom,
! [X1,X2,X3,X4,X9,X10] :
( eqangle(X1,X2,X9,X10,X3,X4,X9,X10)
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(ruleD63,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& midp(X7,X3,X4) )
=> para(X1,X3,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(ruleD6,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( para(X1,X2,X3,X4)
& para(X3,X4,X5,X6) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
fof(ruleD5,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(ruleD67,axiom,
! [X1,X2,X3] :
( ( cong(X1,X2,X1,X3)
& coll(X1,X2,X3) )
=> midp(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X3)
& coll(X1,X2,X4) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(ruleD64,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& para(X1,X3,X2,X4)
& para(X1,X4,X2,X3) )
=> midp(X7,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
fof(ruleD23,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(ruleD24,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(ruleD44,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& midp(X6,X1,X3) )
=> para(X5,X6,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
fof(ruleD56,axiom,
! [X1,X2,X9,X10] :
( ( cong(X1,X9,X2,X9)
& cong(X1,X10,X2,X10) )
=> perp(X1,X2,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(ruleD7,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(c_0_27,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_28,plain,
! [X10,X11,X12,X13] :
( ~ circle(X13,X10,X11,X12)
| perp(esk26_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_29,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_30,plain,
( para(X1,X2,X3,X4)
| ~ perp(X5,X6,X3,X4)
| ~ perp(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,plain,
( perp(esk26_4(X1,X2,X3,X4),X1,X1,X4)
| ~ circle(X4,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_32,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_33,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20,X21,X22,X23,X24,X25,X26] :
( ( circle(X1,X2,X19,X20)
& circle(X3,X2,X21,X22)
& circle(X1,X2,X4,X23)
& circle(X3,X2,X4,X24)
& midp(X5,X4,X2)
& circle(X1,X2,X6,X25)
& circle(X3,X2,X13,X26)
& coll(X13,X2,X6)
& coll(X14,X1,X6)
& coll(X14,X3,X13) )
=> eqangle(X6,X4,X4,X13,X1,X14,X14,X3) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL618075y]) ).
cnf(c_0_34,plain,
( para(X1,X2,X3,X4)
| ~ circle(X4,X3,X5,X6)
| ~ perp(X1,X2,esk26_4(X3,X5,X6,X4),X3) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,plain,
( perp(X1,X2,esk26_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_32,c_0_31]) ).
fof(c_0_36,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)
& midp(esk5_0,esk4_0,esk2_0)
& circle(esk1_0,esk2_0,esk6_0,esk15_0)
& circle(esk3_0,esk2_0,esk7_0,esk16_0)
& coll(esk7_0,esk2_0,esk6_0)
& coll(esk8_0,esk1_0,esk6_0)
& coll(esk8_0,esk3_0,esk7_0)
& ~ eqangle(esk6_0,esk4_0,esk4_0,esk7_0,esk1_0,esk8_0,esk8_0,esk3_0) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])]) ).
fof(c_0_37,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_38,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,negated_conjecture,
circle(esk3_0,esk2_0,esk4_0,esk14_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_40,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_41,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| ~ para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_42,negated_conjecture,
para(esk2_0,esk3_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
fof(c_0_43,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_44,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_40]) ).
cnf(c_0_45,negated_conjecture,
eqangle(esk2_0,esk3_0,X1,X2,esk2_0,esk3_0,X1,X2),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
fof(c_0_46,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])])])]) ).
fof(c_0_47,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_48,plain,
( para(X1,X2,X3,X4)
| ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_49,negated_conjecture,
eqangle(X1,X2,esk2_0,esk3_0,X1,X2,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
fof(c_0_50,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ para(X7,X8,X9,X10)
| ~ para(X9,X10,X11,X12)
| para(X7,X8,X11,X12) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD6])]) ).
cnf(c_0_51,plain,
( para(X1,X2,X3,X4)
| ~ midp(X5,X2,X4)
| ~ midp(X5,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_52,negated_conjecture,
midp(esk5_0,esk4_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_53,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])]) ).
fof(c_0_54,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_55,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_56,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_57,plain,
( para(X1,X2,X3,X4)
| ~ para(X5,X6,X3,X4)
| ~ para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_58,negated_conjecture,
( para(X1,esk4_0,X2,esk2_0)
| ~ midp(esk5_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_59,plain,
( para(X1,X2,X3,X4)
| ~ para(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
fof(c_0_60,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_61,plain,
( coll(X1,X2,X3)
| ~ coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_62,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
fof(c_0_63,plain,
! [X8,X9,X10] :
( ~ midp(X10,X9,X8)
| midp(X10,X8,X9) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_64,negated_conjecture,
( para(X1,X2,X3,esk2_0)
| ~ midp(esk5_0,X4,X3)
| ~ para(X1,X2,X4,esk4_0) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_65,negated_conjecture,
( para(X1,esk2_0,X2,esk4_0)
| ~ midp(esk5_0,X2,X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_58]) ).
fof(c_0_66,plain,
! [X4,X5,X6] :
( ~ cong(X4,X5,X4,X6)
| ~ coll(X4,X5,X6)
| midp(X4,X5,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
fof(c_0_67,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_68,plain,
( coll(X1,X2,X3)
| ~ coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_69,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
fof(c_0_70,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_71,plain,
( midp(X1,X2,X3)
| ~ midp(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
fof(c_0_72,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_73,negated_conjecture,
( para(X1,esk2_0,X2,esk2_0)
| ~ midp(esk5_0,X3,X2)
| ~ midp(esk5_0,X3,X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_74,plain,
( midp(X1,X2,X3)
| ~ coll(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_75,plain,
( coll(X1,X2,X3)
| ~ coll(X3,X4,X2)
| ~ coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_76,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
fof(c_0_77,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_78,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_79,negated_conjecture,
midp(esk5_0,esk2_0,esk4_0),
inference(spm,[status(thm)],[c_0_71,c_0_52]) ).
cnf(c_0_80,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_72]) ).
cnf(c_0_81,negated_conjecture,
( para(X1,esk2_0,esk2_0,esk2_0)
| ~ midp(esk5_0,esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_52]) ).
cnf(c_0_82,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X3,X1,X2)
| ~ coll(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_74]) ).
cnf(c_0_83,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_76])]) ).
cnf(c_0_84,plain,
( cong(X1,X2,X3,X4)
| ~ cong(X5,X6,X3,X4)
| ~ cong(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_85,negated_conjecture,
cong(esk5_0,esk2_0,esk5_0,esk4_0),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_86,negated_conjecture,
( midp(X1,esk2_0,esk2_0)
| ~ midp(esk5_0,esk4_0,X2)
| ~ midp(X1,X2,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_81]) ).
cnf(c_0_87,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X3,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_83])]) ).
cnf(c_0_88,negated_conjecture,
( cong(X1,X2,esk5_0,esk4_0)
| ~ cong(X1,X2,esk5_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_89,negated_conjecture,
cong(esk5_0,esk4_0,esk5_0,esk2_0),
inference(spm,[status(thm)],[c_0_78,c_0_52]) ).
cnf(c_0_90,negated_conjecture,
( midp(X1,esk2_0,esk2_0)
| ~ cong(esk5_0,X2,esk5_0,esk4_0)
| ~ midp(X1,X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_91,negated_conjecture,
cong(esk5_0,esk4_0,esk5_0,esk4_0),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_92,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_56]),c_0_56])]) ).
cnf(c_0_93,negated_conjecture,
midp(esk5_0,esk2_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_52]),c_0_91])]) ).
cnf(c_0_94,negated_conjecture,
( eqangle(X1,esk4_0,X2,X3,X4,esk2_0,X2,X3)
| ~ midp(esk5_0,X1,X4) ),
inference(spm,[status(thm)],[c_0_41,c_0_58]) ).
cnf(c_0_95,negated_conjecture,
midp(esk5_0,X1,X1),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_96,negated_conjecture,
eqangle(X1,esk4_0,X2,X3,X1,esk2_0,X2,X3),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
fof(c_0_97,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_98,negated_conjecture,
para(X1,esk4_0,X1,esk2_0),
inference(spm,[status(thm)],[c_0_48,c_0_96]) ).
fof(c_0_99,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_100,plain,
( cong(X1,X2,X3,X4)
| ~ cong(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_101,negated_conjecture,
cong(esk5_0,X1,esk5_0,X1),
inference(spm,[status(thm)],[c_0_78,c_0_95]) ).
cnf(c_0_102,negated_conjecture,
para(X1,esk2_0,X1,esk4_0),
inference(spm,[status(thm)],[c_0_59,c_0_98]) ).
cnf(c_0_103,plain,
( cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_104,negated_conjecture,
cong(esk5_0,X1,X1,esk5_0),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_105,negated_conjecture,
( midp(X1,esk4_0,esk2_0)
| ~ midp(X1,X2,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_102]),c_0_98])]) ).
cnf(c_0_106,negated_conjecture,
cong(X1,esk5_0,esk5_0,X1),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_107,negated_conjecture,
( midp(X1,esk2_0,esk2_0)
| ~ midp(X1,esk4_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_86,c_0_95]) ).
cnf(c_0_108,negated_conjecture,
( midp(X1,esk4_0,esk2_0)
| ~ cong(X1,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_105,c_0_87]) ).
cnf(c_0_109,negated_conjecture,
cong(X1,esk5_0,X1,esk5_0),
inference(spm,[status(thm)],[c_0_100,c_0_106]) ).
fof(c_0_110,plain,
! [X7,X8,X9,X10,X11] :
( ~ midp(X10,X7,X8)
| ~ midp(X11,X7,X9)
| para(X10,X11,X8,X9) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_111,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,esk4_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_92,c_0_107]) ).
cnf(c_0_112,negated_conjecture,
midp(X1,esk4_0,esk2_0),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
fof(c_0_113,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_114,plain,
( para(X1,X2,X3,X4)
| ~ midp(X2,X5,X4)
| ~ midp(X1,X5,X3) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
fof(c_0_115,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_116,negated_conjecture,
midp(X1,X2,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_112])]) ).
cnf(c_0_117,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X5,X6,X3,X4)
| ~ para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_118,negated_conjecture,
( para(X1,esk5_0,X2,esk2_0)
| ~ midp(X1,esk4_0,X2) ),
inference(spm,[status(thm)],[c_0_114,c_0_52]) ).
cnf(c_0_119,plain,
( perp(X1,X2,X3,X4)
| ~ cong(X1,X4,X2,X4)
| ~ cong(X1,X3,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_120,negated_conjecture,
cong(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_78,c_0_116]) ).
cnf(c_0_121,negated_conjecture,
( perp(X1,esk5_0,X2,X3)
| ~ midp(X1,esk4_0,X4)
| ~ perp(X4,esk2_0,X2,X3) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_122,negated_conjecture,
perp(X1,X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_120])]) ).
fof(c_0_123,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_124,negated_conjecture,
perp(X1,esk5_0,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_112])]) ).
cnf(c_0_125,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_126,negated_conjecture,
perp(X1,X2,X3,esk5_0),
inference(spm,[status(thm)],[c_0_32,c_0_124]) ).
cnf(c_0_127,negated_conjecture,
perp(X1,X2,esk5_0,X3),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_128,negated_conjecture,
perp(esk5_0,X1,X2,X3),
inference(spm,[status(thm)],[c_0_32,c_0_127]) ).
cnf(c_0_129,negated_conjecture,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_128]),c_0_127])]) ).
fof(c_0_130,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_131,plain,
eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_129])]) ).
fof(c_0_132,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_133,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_130]) ).
cnf(c_0_134,plain,
eqangle(X1,X2,X3,X4,X1,X2,X5,X6),
inference(spm,[status(thm)],[c_0_44,c_0_131]) ).
cnf(c_0_135,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_132]) ).
cnf(c_0_136,plain,
eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_137,plain,
eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
inference(spm,[status(thm)],[c_0_133,c_0_131]) ).
cnf(c_0_138,negated_conjecture,
~ eqangle(esk6_0,esk4_0,esk4_0,esk7_0,esk1_0,esk8_0,esk8_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_139,plain,
eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_137])]) ).
cnf(c_0_140,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_139])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO613+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jun 17 22:49:57 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.22/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.41 # Preprocessing time : 0.024 s
% 0.22/1.41
% 0.22/1.41 # Proof found!
% 0.22/1.41 # SZS status Theorem
% 0.22/1.41 # SZS output start CNFRefutation
% See solution above
% 0.22/1.41 # Proof object total steps : 141
% 0.22/1.41 # Proof object clause steps : 86
% 0.22/1.41 # Proof object formula steps : 55
% 0.22/1.41 # Proof object conjectures : 53
% 0.22/1.41 # Proof object clause conjectures : 50
% 0.22/1.41 # Proof object formula conjectures : 3
% 0.22/1.41 # Proof object initial clauses used : 29
% 0.22/1.41 # Proof object initial formulas used : 27
% 0.22/1.41 # Proof object generating inferences : 53
% 0.22/1.41 # Proof object simplifying inferences : 25
% 0.22/1.41 # Training examples: 0 positive, 0 negative
% 0.22/1.41 # Parsed axioms : 95
% 0.22/1.41 # Removed by relevancy pruning/SinE : 21
% 0.22/1.41 # Initial clauses : 103
% 0.22/1.41 # Removed in clause preprocessing : 0
% 0.22/1.41 # Initial clauses in saturation : 103
% 0.22/1.41 # Processed clauses : 2592
% 0.22/1.41 # ...of these trivial : 518
% 0.22/1.41 # ...subsumed : 331
% 0.22/1.41 # ...remaining for further processing : 1743
% 0.22/1.41 # Other redundant clauses eliminated : 0
% 0.22/1.41 # Clauses deleted for lack of memory : 0
% 0.22/1.41 # Backward-subsumed : 21
% 0.22/1.41 # Backward-rewritten : 1714
% 0.22/1.41 # Generated clauses : 13913
% 0.22/1.41 # ...of the previous two non-trivial : 11959
% 0.22/1.41 # Contextual simplify-reflections : 13
% 0.22/1.41 # Paramodulations : 13913
% 0.22/1.41 # Factorizations : 0
% 0.22/1.41 # Equation resolutions : 0
% 0.22/1.41 # Current number of processed clauses : 8
% 0.22/1.41 # Positive orientable unit clauses : 8
% 0.22/1.41 # Positive unorientable unit clauses: 0
% 0.22/1.41 # Negative unit clauses : 0
% 0.22/1.41 # Non-unit-clauses : 0
% 0.22/1.41 # Current number of unprocessed clauses: 139
% 0.22/1.41 # ...number of literals in the above : 280
% 0.22/1.41 # Current number of archived formulas : 0
% 0.22/1.41 # Current number of archived clauses : 1735
% 0.22/1.41 # Clause-clause subsumption calls (NU) : 61217
% 0.22/1.41 # Rec. Clause-clause subsumption calls : 51388
% 0.22/1.41 # Non-unit clause-clause subsumptions : 356
% 0.22/1.41 # Unit Clause-clause subsumption calls : 21542
% 0.22/1.41 # Rewrite failures with RHS unbound : 0
% 0.22/1.41 # BW rewrite match attempts : 14790
% 0.22/1.41 # BW rewrite match successes : 1334
% 0.22/1.41 # Condensation attempts : 0
% 0.22/1.41 # Condensation successes : 0
% 0.22/1.41 # Termbank termtop insertions : 185016
% 0.22/1.41
% 0.22/1.41 # -------------------------------------------------
% 0.22/1.41 # User time : 0.386 s
% 0.22/1.41 # System time : 0.008 s
% 0.22/1.41 # Total time : 0.394 s
% 0.22/1.41 # Maximum resident set size: 10248 pages
% 0.22/23.41 eprover: CPU time limit exceeded, terminating
% 0.22/23.41 eprover: CPU time limit exceeded, terminating
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48 eprover: No such file or directory
% 0.22/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------