TSTP Solution File: GEO656+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO656+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 04:06:56 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 24
% Syntax : Number of formulae : 139 ( 47 unt; 0 def)
% Number of atoms : 278 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 238 ( 99 ~; 95 |; 19 &)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 419 ( 19 sgn 240 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULLmoreE02314,conjecture,
! [X1,X2,X3,X4,X5,X6] :
( ( midp(X4,X2,X1)
& eqangle(X5,X4,X4,X1,X5,X4,X4,X3)
& eqangle(X6,X4,X4,X2,X6,X4,X4,X3) )
=> para(X5,X6,X1,X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',exemplo6GDDFULLmoreE02314) ).
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(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(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(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(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
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(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(ruleD69,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
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(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(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
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(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(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(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(ruleD45,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& para(X5,X6,X2,X3)
& coll(X6,X1,X3) )
=> midp(X6,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
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(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(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(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
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(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(c_0_24,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6] :
( ( midp(X4,X2,X1)
& eqangle(X5,X4,X4,X1,X5,X4,X4,X3)
& eqangle(X6,X4,X4,X2,X6,X4,X4,X3) )
=> para(X5,X6,X1,X2) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULLmoreE02314]) ).
fof(c_0_25,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])]) ).
fof(c_0_26,negated_conjecture,
( midp(esk4_0,esk2_0,esk1_0)
& eqangle(esk5_0,esk4_0,esk4_0,esk1_0,esk5_0,esk4_0,esk4_0,esk3_0)
& eqangle(esk6_0,esk4_0,esk4_0,esk2_0,esk6_0,esk4_0,esk4_0,esk3_0)
& ~ para(esk5_0,esk6_0,esk1_0,esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
fof(c_0_27,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])])])]) ).
fof(c_0_28,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])]) ).
fof(c_0_29,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_30,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_25]) ).
cnf(c_0_31,negated_conjecture,
eqangle(esk6_0,esk4_0,esk4_0,esk2_0,esk6_0,esk4_0,esk4_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| ~ para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_33,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_34,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_28]) ).
cnf(c_0_35,plain,
( para(X1,X2,X3,X4)
| ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,negated_conjecture,
eqangle(esk4_0,esk2_0,esk6_0,esk4_0,esk4_0,esk3_0,esk6_0,esk4_0),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_37,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_30,c_0_32]) ).
cnf(c_0_38,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_33]) ).
cnf(c_0_39,negated_conjecture,
eqangle(esk6_0,esk4_0,esk6_0,esk4_0,esk4_0,esk2_0,esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_34,c_0_31]) ).
cnf(c_0_40,negated_conjecture,
para(esk4_0,esk2_0,esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_41,negated_conjecture,
eqangle(esk5_0,esk4_0,esk4_0,esk1_0,esk5_0,esk4_0,esk4_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_42,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_43,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_44,plain,
! [X4,X5,X6] :
( ~ midp(X4,X5,X6)
| coll(X4,X5,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).
fof(c_0_45,plain,
! [X4,X5,X6] :
( ~ para(X4,X5,X4,X6)
| coll(X4,X5,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_46,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_35,c_0_37]) ).
cnf(c_0_47,negated_conjecture,
para(esk6_0,esk4_0,esk6_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).
fof(c_0_48,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_49,negated_conjecture,
eqangle(esk4_0,esk1_0,esk5_0,esk4_0,esk4_0,esk3_0,esk5_0,esk4_0),
inference(spm,[status(thm)],[c_0_30,c_0_41]) ).
cnf(c_0_50,plain,
( para(X1,X2,X3,X4)
| ~ midp(X5,X2,X4)
| ~ midp(X5,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_51,negated_conjecture,
midp(esk4_0,esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_52,plain,
( midp(X1,X2,X3)
| ~ midp(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_53,plain,
! [X5,X6,X7,X8] :
( ~ para(X5,X6,X7,X8)
| para(X5,X6,X8,X7) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
fof(c_0_54,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_55,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_56,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_57,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_58,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_59,plain,
( para(X1,X2,X3,X4)
| ~ para(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_60,negated_conjecture,
para(esk4_0,esk1_0,esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_35,c_0_49]) ).
cnf(c_0_61,negated_conjecture,
( para(X1,esk2_0,X2,esk1_0)
| ~ midp(esk4_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_62,negated_conjecture,
midp(esk4_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_52,c_0_51]) ).
cnf(c_0_63,plain,
( para(X1,X2,X3,X4)
| ~ para(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_64,plain,
( coll(X1,X2,X3)
| ~ coll(X3,X4,X2)
| ~ coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_65,negated_conjecture,
coll(esk4_0,esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_55,c_0_51]) ).
fof(c_0_66,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_67,plain,
( coll(X1,X2,X3)
| ~ coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_68,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
fof(c_0_69,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_70,negated_conjecture,
para(esk4_0,esk3_0,esk4_0,esk2_0),
inference(spm,[status(thm)],[c_0_59,c_0_40]) ).
cnf(c_0_71,negated_conjecture,
para(esk4_0,esk3_0,esk4_0,esk1_0),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
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(esk1_0,esk2_0,esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
fof(c_0_74,plain,
! [X7,X8,X9,X10,X11] :
( ~ midp(X10,X7,X8)
| ~ para(X10,X11,X8,X9)
| ~ coll(X11,X7,X9)
| midp(X11,X7,X9) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_75,negated_conjecture,
para(esk4_0,esk1_0,esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_63,c_0_60]) ).
cnf(c_0_76,negated_conjecture,
( coll(X1,esk1_0,esk4_0)
| ~ coll(esk4_0,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_77,plain,
( coll(X1,X2,X3)
| ~ coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_78,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_79,plain,
( para(X1,X2,X3,X4)
| ~ para(X5,X6,X3,X4)
| ~ para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_80,negated_conjecture,
para(esk4_0,esk3_0,esk2_0,esk4_0),
inference(spm,[status(thm)],[c_0_63,c_0_70]) ).
cnf(c_0_81,negated_conjecture,
para(esk4_0,esk3_0,esk1_0,esk4_0),
inference(spm,[status(thm)],[c_0_63,c_0_71]) ).
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_72]) ).
cnf(c_0_83,negated_conjecture,
para(esk1_0,esk2_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_63,c_0_73]) ).
cnf(c_0_84,plain,
( midp(X1,X2,X3)
| ~ coll(X1,X2,X3)
| ~ para(X4,X1,X5,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_85,negated_conjecture,
para(esk3_0,esk4_0,esk4_0,esk1_0),
inference(spm,[status(thm)],[c_0_59,c_0_75]) ).
cnf(c_0_86,negated_conjecture,
coll(esk1_0,esk1_0,esk4_0),
inference(spm,[status(thm)],[c_0_76,c_0_65]) ).
cnf(c_0_87,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_88,negated_conjecture,
( para(X1,X2,esk2_0,esk4_0)
| ~ para(X1,X2,esk4_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_89,negated_conjecture,
para(esk1_0,esk4_0,esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_59,c_0_81]) ).
cnf(c_0_90,negated_conjecture,
( midp(X1,esk2_0,esk2_0)
| ~ midp(X1,esk1_0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_83])]) ).
cnf(c_0_91,negated_conjecture,
( midp(esk4_0,X1,esk1_0)
| ~ midp(esk3_0,X1,esk4_0)
| ~ coll(esk4_0,X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_92,negated_conjecture,
coll(esk1_0,esk4_0,esk1_0),
inference(spm,[status(thm)],[c_0_77,c_0_86]) ).
cnf(c_0_93,negated_conjecture,
( midp(esk3_0,X1,esk1_0)
| ~ midp(esk4_0,X1,esk4_0)
| ~ coll(esk3_0,X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_84,c_0_71]) ).
cnf(c_0_94,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_87]),c_0_87])]) ).
cnf(c_0_95,negated_conjecture,
para(esk1_0,esk4_0,esk2_0,esk4_0),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_96,negated_conjecture,
( midp(esk4_0,esk2_0,esk2_0)
| ~ midp(esk3_0,esk1_0,esk4_0)
| ~ coll(esk4_0,esk1_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_97,negated_conjecture,
coll(esk4_0,esk1_0,esk1_0),
inference(spm,[status(thm)],[c_0_67,c_0_92]) ).
cnf(c_0_98,negated_conjecture,
( midp(esk3_0,X1,esk1_0)
| ~ midp(esk4_0,X1,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_94])]) ).
cnf(c_0_99,negated_conjecture,
( midp(X1,esk4_0,esk4_0)
| ~ midp(X1,esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_95]),c_0_95])]) ).
cnf(c_0_100,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_58]),c_0_58])]) ).
cnf(c_0_101,negated_conjecture,
( midp(esk4_0,esk2_0,esk2_0)
| ~ midp(esk3_0,esk1_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_97])]) ).
cnf(c_0_102,negated_conjecture,
midp(esk3_0,esk4_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_62])]) ).
cnf(c_0_103,negated_conjecture,
( midp(esk4_0,X1,X1)
| ~ midp(esk3_0,esk1_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_104,negated_conjecture,
midp(esk3_0,esk1_0,esk4_0),
inference(spm,[status(thm)],[c_0_52,c_0_102]) ).
fof(c_0_105,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])]) ).
fof(c_0_106,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_107,negated_conjecture,
( midp(X1,esk3_0,esk1_0)
| ~ midp(X1,esk4_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_60]),c_0_71])]) ).
cnf(c_0_108,negated_conjecture,
midp(esk4_0,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_104])]) ).
fof(c_0_109,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_110,plain,
( perp(X1,X2,X3,X4)
| ~ cong(X1,X4,X2,X4)
| ~ cong(X1,X3,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_111,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_112,negated_conjecture,
midp(esk4_0,esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_113,plain,
( para(X1,X2,X3,X4)
| ~ midp(X2,X5,X4)
| ~ midp(X1,X5,X3) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_114,plain,
( perp(X1,X1,X2,X3)
| ~ cong(X1,X2,X1,X2)
| ~ midp(X1,X3,X3) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_115,negated_conjecture,
midp(esk4_0,esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_52,c_0_112]) ).
fof(c_0_116,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_117,negated_conjecture,
( para(X1,esk4_0,X2,esk2_0)
| ~ midp(X1,esk1_0,X2) ),
inference(spm,[status(thm)],[c_0_113,c_0_62]) ).
fof(c_0_118,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_119,plain,
( perp(X1,X1,X2,X3)
| ~ midp(X1,X3,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_111]),c_0_100]) ).
cnf(c_0_120,negated_conjecture,
para(esk1_0,esk2_0,esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_61,c_0_115]) ).
cnf(c_0_121,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_116]) ).
cnf(c_0_122,negated_conjecture,
para(esk4_0,esk4_0,esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_117,c_0_115]) ).
cnf(c_0_123,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_124,negated_conjecture,
perp(esk4_0,esk4_0,X1,X2),
inference(spm,[status(thm)],[c_0_119,c_0_108]) ).
cnf(c_0_125,negated_conjecture,
para(esk1_0,esk2_0,esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_63,c_0_120]) ).
cnf(c_0_126,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_121,c_0_37]) ).
cnf(c_0_127,negated_conjecture,
para(esk3_0,esk2_0,esk4_0,esk4_0),
inference(spm,[status(thm)],[c_0_59,c_0_122]) ).
cnf(c_0_128,negated_conjecture,
perp(X1,X2,esk4_0,esk4_0),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_129,negated_conjecture,
para(esk1_0,esk3_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_59,c_0_125]) ).
fof(c_0_130,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])]) ).
cnf(c_0_131,negated_conjecture,
perp(X1,X2,esk3_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_128])]) ).
cnf(c_0_132,negated_conjecture,
~ para(esk5_0,esk6_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_133,negated_conjecture,
( para(X1,X2,esk1_0,esk2_0)
| ~ para(X1,X2,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_79,c_0_129]) ).
cnf(c_0_134,plain,
( para(X1,X2,X3,X4)
| ~ perp(X5,X6,X3,X4)
| ~ perp(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_135,negated_conjecture,
perp(esk3_0,esk2_0,X1,X2),
inference(spm,[status(thm)],[c_0_123,c_0_131]) ).
cnf(c_0_136,negated_conjecture,
~ para(esk5_0,esk6_0,esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_137,negated_conjecture,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_131])]) ).
cnf(c_0_138,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_137])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : GEO656+1 : TPTP v8.1.0. Released v7.5.0.
% 0.01/0.12 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n005.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 00:14:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41 # Preprocessing time : 0.021 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.41 # Proof object total steps : 139
% 0.23/1.41 # Proof object clause steps : 90
% 0.23/1.41 # Proof object formula steps : 49
% 0.23/1.41 # Proof object conjectures : 65
% 0.23/1.41 # Proof object clause conjectures : 62
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 27
% 0.23/1.41 # Proof object initial formulas used : 24
% 0.23/1.41 # Proof object generating inferences : 59
% 0.23/1.41 # Proof object simplifying inferences : 27
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 95
% 0.23/1.41 # Removed by relevancy pruning/SinE : 43
% 0.23/1.41 # Initial clauses : 70
% 0.23/1.41 # Removed in clause preprocessing : 0
% 0.23/1.41 # Initial clauses in saturation : 70
% 0.23/1.41 # Processed clauses : 2302
% 0.23/1.41 # ...of these trivial : 552
% 0.23/1.41 # ...subsumed : 284
% 0.23/1.41 # ...remaining for further processing : 1466
% 0.23/1.41 # Other redundant clauses eliminated : 0
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 55
% 0.23/1.41 # Backward-rewritten : 724
% 0.23/1.41 # Generated clauses : 13908
% 0.23/1.41 # ...of the previous two non-trivial : 11381
% 0.23/1.41 # Contextual simplify-reflections : 5
% 0.23/1.41 # Paramodulations : 13908
% 0.23/1.41 # Factorizations : 0
% 0.23/1.41 # Equation resolutions : 0
% 0.23/1.41 # Current number of processed clauses : 687
% 0.23/1.41 # Positive orientable unit clauses : 449
% 0.23/1.41 # Positive unorientable unit clauses: 0
% 0.23/1.41 # Negative unit clauses : 0
% 0.23/1.41 # Non-unit-clauses : 238
% 0.23/1.41 # Current number of unprocessed clauses: 2358
% 0.23/1.41 # ...number of literals in the above : 5431
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 779
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 48682
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 34651
% 0.23/1.41 # Non-unit clause-clause subsumptions : 332
% 0.23/1.41 # Unit Clause-clause subsumption calls : 14095
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 13136
% 0.23/1.41 # BW rewrite match successes : 629
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 173558
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.262 s
% 0.23/1.41 # System time : 0.007 s
% 0.23/1.41 # Total time : 0.269 s
% 0.23/1.41 # Maximum resident set size: 11168 pages
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------