TSTP Solution File: GEO637+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO637+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 04:06:50 EDT 2022
% Result : Theorem 0.23s 2.43s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 28
% Syntax : Number of formulae : 144 ( 44 unt; 0 def)
% Number of atoms : 294 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 249 ( 99 ~; 94 |; 27 &)
% ( 0 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 537 ( 44 sgn 292 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL81109101,conjecture,
! [X1,X2,X3,X8,X14,X4,X5] :
( ( circle(X8,X1,X2,X3)
& midp(X14,X3,X2)
& coll(X4,X8,X14)
& coll(X4,X1,X2)
& perp(X3,X8,X3,X5)
& perp(X1,X8,X1,X5) )
=> cyclic(X1,X8,X5,X4) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',exemplo6GDDFULL81109101) ).
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(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(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(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(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(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(ruleD73,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
& para(X9,X10,X11,X12) )
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(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(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(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(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(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(ruleD6,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( para(X1,X2,X3,X4)
& para(X3,X4,X5,X6) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(ruleD15,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X3,X2,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(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(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
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(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_28,negated_conjecture,
~ ! [X1,X2,X3,X8,X14,X4,X5] :
( ( circle(X8,X1,X2,X3)
& midp(X14,X3,X2)
& coll(X4,X8,X14)
& coll(X4,X1,X2)
& perp(X3,X8,X3,X5)
& perp(X1,X8,X1,X5) )
=> cyclic(X1,X8,X5,X4) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL81109101]) ).
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,negated_conjecture,
( circle(esk4_0,esk1_0,esk2_0,esk3_0)
& midp(esk5_0,esk3_0,esk2_0)
& coll(esk6_0,esk4_0,esk5_0)
& coll(esk6_0,esk1_0,esk2_0)
& perp(esk3_0,esk4_0,esk3_0,esk7_0)
& perp(esk1_0,esk4_0,esk1_0,esk7_0)
& ~ cyclic(esk1_0,esk4_0,esk7_0,esk6_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).
fof(c_0_31,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_32,plain,
( midp(X1,X2,X3)
| ~ midp(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_33,negated_conjecture,
midp(esk5_0,esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_34,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_35,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_36,negated_conjecture,
midp(esk5_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
fof(c_0_37,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_38,plain,
( cong(X1,X2,X3,X4)
| ~ cong(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_39,negated_conjecture,
cong(esk5_0,esk2_0,esk5_0,esk3_0),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,negated_conjecture,
cong(esk5_0,esk3_0,esk5_0,esk2_0),
inference(spm,[status(thm)],[c_0_35,c_0_33]) ).
fof(c_0_41,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_42,plain,
( cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_43,negated_conjecture,
cong(esk5_0,esk2_0,esk3_0,esk5_0),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
fof(c_0_44,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_45,negated_conjecture,
cong(esk5_0,esk3_0,esk2_0,esk5_0),
inference(spm,[status(thm)],[c_0_38,c_0_40]) ).
fof(c_0_46,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_47,plain,
( para(X1,X2,X3,X4)
| ~ midp(X5,X2,X4)
| ~ midp(X5,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_48,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_49,negated_conjecture,
cong(esk3_0,esk5_0,esk5_0,esk2_0),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
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_44]) ).
cnf(c_0_51,negated_conjecture,
cong(esk2_0,esk5_0,esk5_0,esk3_0),
inference(spm,[status(thm)],[c_0_42,c_0_45]) ).
fof(c_0_52,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_53,plain,
! [X10,X11,X12,X13] :
( ~ circle(X13,X10,X11,X12)
| perp(esk25_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_54,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_55,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| ~ para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_56,negated_conjecture,
( para(X1,esk3_0,X2,esk2_0)
| ~ midp(esk5_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_47,c_0_33]) ).
cnf(c_0_57,plain,
( perp(X1,X2,X3,X4)
| ~ cong(X1,X4,X2,X4)
| ~ cong(X1,X3,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_58,negated_conjecture,
cong(esk3_0,esk5_0,esk2_0,esk5_0),
inference(spm,[status(thm)],[c_0_38,c_0_49]) ).
cnf(c_0_59,negated_conjecture,
( cong(X1,X2,esk5_0,esk3_0)
| ~ cong(X1,X2,esk2_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_60,plain,
( para(X1,X2,X3,X4)
| ~ perp(X5,X6,X3,X4)
| ~ perp(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_61,plain,
( perp(esk25_4(X1,X2,X3,X4),X1,X1,X4)
| ~ circle(X4,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_62,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
fof(c_0_63,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_64,negated_conjecture,
( eqangle(X1,esk3_0,X2,X3,X4,esk2_0,X2,X3)
| ~ midp(esk5_0,X1,X4) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_65,negated_conjecture,
( perp(esk3_0,esk2_0,X1,esk5_0)
| ~ cong(esk3_0,X1,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_66,negated_conjecture,
cong(esk3_0,esk5_0,esk5_0,esk3_0),
inference(spm,[status(thm)],[c_0_59,c_0_58]) ).
cnf(c_0_67,plain,
( para(X1,X2,X3,X4)
| ~ circle(X4,X3,X5,X6)
| ~ perp(X1,X2,esk25_4(X3,X5,X6,X4),X3) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_68,plain,
( perp(X1,X2,esk25_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_62,c_0_61]) ).
fof(c_0_69,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20] :
( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
| ~ para(X17,X18,X19,X20)
| para(X13,X14,X15,X16) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])])]) ).
cnf(c_0_70,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_63]) ).
cnf(c_0_71,negated_conjecture,
eqangle(esk3_0,esk3_0,X1,X2,esk2_0,esk2_0,X1,X2),
inference(spm,[status(thm)],[c_0_64,c_0_33]) ).
cnf(c_0_72,negated_conjecture,
perp(esk3_0,esk2_0,esk5_0,esk5_0),
inference(spm,[status(thm)],[c_0_65,c_0_58]) ).
cnf(c_0_73,negated_conjecture,
cong(esk3_0,esk5_0,esk3_0,esk5_0),
inference(spm,[status(thm)],[c_0_38,c_0_66]) ).
cnf(c_0_74,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_75,negated_conjecture,
circle(esk4_0,esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_76,plain,
( para(X1,X2,X3,X4)
| ~ para(X5,X6,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_77,negated_conjecture,
eqangle(esk2_0,esk2_0,X1,X2,esk3_0,esk3_0,X1,X2),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_78,negated_conjecture,
perp(esk5_0,esk5_0,esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_62,c_0_72]) ).
cnf(c_0_79,negated_conjecture,
( perp(esk3_0,esk3_0,X1,esk5_0)
| ~ cong(esk3_0,X1,esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_73]) ).
cnf(c_0_80,negated_conjecture,
( cong(X1,X2,esk3_0,esk5_0)
| ~ cong(X1,X2,esk5_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_43]) ).
fof(c_0_81,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_82,negated_conjecture,
para(esk1_0,esk4_0,esk1_0,esk4_0),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
fof(c_0_83,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_84,negated_conjecture,
( para(esk2_0,esk2_0,X1,X2)
| ~ para(esk3_0,esk3_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_85,negated_conjecture,
( para(X1,X2,esk3_0,esk2_0)
| ~ perp(X1,X2,esk5_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_60,c_0_78]) ).
cnf(c_0_86,negated_conjecture,
perp(esk3_0,esk3_0,esk5_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_49])]) ).
fof(c_0_87,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_88,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_81]) ).
cnf(c_0_89,negated_conjecture,
eqangle(esk1_0,esk4_0,X1,X2,esk1_0,esk4_0,X1,X2),
inference(spm,[status(thm)],[c_0_55,c_0_82]) ).
fof(c_0_90,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_91,plain,
( para(X1,X2,X3,X4)
| ~ para(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_92,negated_conjecture,
para(esk2_0,esk2_0,esk3_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86])]) ).
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_87]) ).
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_88,c_0_89]) ).
cnf(c_0_95,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_90]) ).
cnf(c_0_96,negated_conjecture,
para(esk3_0,esk2_0,esk2_0,esk2_0),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_97,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_98,negated_conjecture,
( midp(X1,esk2_0,esk2_0)
| ~ midp(X1,esk3_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_96])]) ).
cnf(c_0_99,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_97]),c_0_97])]) ).
cnf(c_0_100,negated_conjecture,
midp(esk5_0,esk2_0,esk2_0),
inference(spm,[status(thm)],[c_0_98,c_0_33]) ).
fof(c_0_101,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_102,negated_conjecture,
midp(esk5_0,X1,X1),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_103,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_104,negated_conjecture,
cong(esk5_0,X1,esk5_0,X1),
inference(spm,[status(thm)],[c_0_35,c_0_102]) ).
cnf(c_0_105,negated_conjecture,
perp(esk5_0,esk5_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_103,c_0_78]) ).
cnf(c_0_106,negated_conjecture,
perp(esk5_0,esk5_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_104]),c_0_104])]) ).
cnf(c_0_107,negated_conjecture,
( para(X1,X2,esk2_0,esk3_0)
| ~ perp(X1,X2,esk5_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_60,c_0_105]) ).
cnf(c_0_108,negated_conjecture,
perp(X1,X2,esk5_0,esk5_0),
inference(spm,[status(thm)],[c_0_62,c_0_106]) ).
fof(c_0_109,plain,
! [X4,X5,X6] :
( ~ para(X4,X5,X4,X6)
| coll(X4,X5,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
fof(c_0_110,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_111,negated_conjecture,
para(X1,X2,esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_108])]) ).
fof(c_0_112,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_113,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_114,plain,
( para(X1,X2,X3,X4)
| ~ para(X5,X6,X3,X4)
| ~ para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_115,negated_conjecture,
para(esk2_0,esk3_0,X1,X2),
inference(spm,[status(thm)],[c_0_91,c_0_111]) ).
fof(c_0_116,plain,
! [X5,X6,X7,X8] :
( ~ cyclic(X5,X6,X7,X8)
| cyclic(X5,X7,X6,X8) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
fof(c_0_117,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_118,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_119,plain,
( coll(X1,X2,X3)
| ~ coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_120,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_113,c_0_97]) ).
cnf(c_0_121,negated_conjecture,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_111])]) ).
cnf(c_0_122,plain,
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_123,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_117]) ).
fof(c_0_124,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_125,plain,
( coll(X1,X2,X3)
| ~ coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_126,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
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_55,c_0_121])]) ).
cnf(c_0_129,negated_conjecture,
~ cyclic(esk1_0,esk4_0,esk7_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_130,plain,
( cyclic(X1,X2,X3,X4)
| ~ eqangle(X2,X1,X2,X3,X4,X1,X4,X3)
| ~ coll(X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_131,plain,
( coll(X1,X2,X3)
| ~ coll(X3,X4,X2)
| ~ coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_132,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
fof(c_0_133,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_134,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_135,plain,
eqangle(X1,X2,X3,X4,X1,X2,X5,X6),
inference(spm,[status(thm)],[c_0_88,c_0_128]) ).
cnf(c_0_136,negated_conjecture,
( ~ eqangle(esk4_0,esk1_0,esk4_0,esk7_0,esk6_0,esk1_0,esk6_0,esk7_0)
| ~ coll(esk4_0,esk6_0,esk7_0) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_137,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_132])]) ).
cnf(c_0_138,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_133]) ).
cnf(c_0_139,plain,
eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_140,plain,
eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
inference(spm,[status(thm)],[c_0_134,c_0_128]) ).
cnf(c_0_141,negated_conjecture,
~ eqangle(esk4_0,esk1_0,esk4_0,esk7_0,esk6_0,esk1_0,esk6_0,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_137])]) ).
cnf(c_0_142,plain,
eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140])]) ).
cnf(c_0_143,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_142])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO637+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 16:22:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.23/2.43 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/2.43 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/2.43 # Preprocessing time : 0.023 s
% 0.23/2.43
% 0.23/2.43 # Proof found!
% 0.23/2.43 # SZS status Theorem
% 0.23/2.43 # SZS output start CNFRefutation
% See solution above
% 0.25/2.43 # Proof object total steps : 144
% 0.25/2.43 # Proof object clause steps : 87
% 0.25/2.43 # Proof object formula steps : 57
% 0.25/2.43 # Proof object conjectures : 54
% 0.25/2.43 # Proof object clause conjectures : 51
% 0.25/2.43 # Proof object formula conjectures : 3
% 0.25/2.43 # Proof object initial clauses used : 30
% 0.25/2.43 # Proof object initial formulas used : 28
% 0.25/2.43 # Proof object generating inferences : 53
% 0.25/2.43 # Proof object simplifying inferences : 24
% 0.25/2.43 # Training examples: 0 positive, 0 negative
% 0.25/2.43 # Parsed axioms : 95
% 0.25/2.43 # Removed by relevancy pruning/SinE : 21
% 0.25/2.43 # Initial clauses : 99
% 0.25/2.43 # Removed in clause preprocessing : 0
% 0.25/2.43 # Initial clauses in saturation : 99
% 0.25/2.43 # Processed clauses : 7022
% 0.25/2.43 # ...of these trivial : 405
% 0.25/2.43 # ...subsumed : 2967
% 0.25/2.43 # ...remaining for further processing : 3650
% 0.25/2.43 # Other redundant clauses eliminated : 0
% 0.25/2.43 # Clauses deleted for lack of memory : 0
% 0.25/2.43 # Backward-subsumed : 239
% 0.25/2.43 # Backward-rewritten : 3158
% 0.25/2.43 # Generated clauses : 58197
% 0.25/2.43 # ...of the previous two non-trivial : 54274
% 0.25/2.43 # Contextual simplify-reflections : 207
% 0.25/2.43 # Paramodulations : 58197
% 0.25/2.43 # Factorizations : 0
% 0.25/2.43 # Equation resolutions : 0
% 0.25/2.43 # Current number of processed clauses : 253
% 0.25/2.43 # Positive orientable unit clauses : 50
% 0.25/2.43 # Positive unorientable unit clauses: 0
% 0.25/2.43 # Negative unit clauses : 1
% 0.25/2.43 # Non-unit-clauses : 202
% 0.25/2.43 # Current number of unprocessed clauses: 1629
% 0.25/2.43 # ...number of literals in the above : 4628
% 0.25/2.43 # Current number of archived formulas : 0
% 0.25/2.43 # Current number of archived clauses : 3397
% 0.25/2.43 # Clause-clause subsumption calls (NU) : 1742018
% 0.25/2.43 # Rec. Clause-clause subsumption calls : 1525645
% 0.25/2.43 # Non-unit clause-clause subsumptions : 3284
% 0.25/2.43 # Unit Clause-clause subsumption calls : 62054
% 0.25/2.43 # Rewrite failures with RHS unbound : 0
% 0.25/2.43 # BW rewrite match attempts : 19792
% 0.25/2.43 # BW rewrite match successes : 1762
% 0.25/2.43 # Condensation attempts : 0
% 0.25/2.43 # Condensation successes : 0
% 0.25/2.43 # Termbank termtop insertions : 819272
% 0.25/2.43
% 0.25/2.43 # -------------------------------------------------
% 0.25/2.43 # User time : 1.533 s
% 0.25/2.43 # System time : 0.022 s
% 0.25/2.43 # Total time : 1.555 s
% 0.25/2.43 # Maximum resident set size: 41136 pages
% 0.25/23.42 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
% 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
% 0.25/23.44 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
% 0.25/23.48 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
% 0.25/23.48 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
% 0.25/23.49 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.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.mepo_128.in
% 0.25/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------