TSTP Solution File: GEO636+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO636+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n032.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 0.21s 2.39s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 31
% Syntax : Number of formulae : 211 ( 78 unt; 0 def)
% Number of atoms : 415 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 349 ( 145 ~; 143 |; 29 &)
% ( 0 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 613 ( 76 sgn 318 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(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(exemplo6GDDFULL8110999,conjecture,
! [X1,X2,X3,X7,X17,X10,X9] :
( ( eqangle(X3,X1,X1,X17,X7,X1,X1,X2)
& perp(X10,X7,X1,X2)
& coll(X10,X1,X2)
& perp(X9,X7,X1,X3)
& coll(X9,X1,X3) )
=> perp(X1,X17,X9,X10) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',exemplo6GDDFULL8110999) ).
fof(ruleD42a,axiom,
! [X1,X2,X9,X10] :
( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
& ~ coll(X9,X10,X1) )
=> cyclic(X1,X2,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).
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(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(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(ruleD41,axiom,
! [X1,X2,X9,X10] :
( cyclic(X1,X2,X9,X10)
=> eqangle(X9,X1,X9,X2,X10,X1,X10,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
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(ruleD14,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
fof(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(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(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(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(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(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(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(ruleD17,axiom,
! [X1,X2,X3,X4,X5] :
( ( cyclic(X1,X2,X3,X4)
& cyclic(X1,X2,X3,X5) )
=> cyclic(X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
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(ruleD43,axiom,
! [X1,X2,X3,X9,X10,X15] :
( ( cyclic(X1,X2,X3,X9)
& cyclic(X1,X2,X3,X10)
& cyclic(X1,X2,X3,X15)
& eqangle(X3,X1,X3,X2,X15,X9,X15,X10) )
=> cong(X1,X2,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(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(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(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(ruleD16,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X2,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(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(ruleD67,axiom,
! [X1,X2,X3] :
( ( cong(X1,X2,X1,X3)
& coll(X1,X2,X3) )
=> midp(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
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(ruleD52,axiom,
! [X1,X2,X3,X7] :
( ( perp(X1,X2,X2,X3)
& midp(X7,X1,X3) )
=> cong(X1,X7,X2,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
fof(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(c_0_31,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_32,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_33,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])]) ).
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_31]) ).
cnf(c_0_35,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| ~ para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_36,negated_conjecture,
~ ! [X1,X2,X3,X7,X17,X10,X9] :
( ( eqangle(X3,X1,X1,X17,X7,X1,X1,X2)
& perp(X10,X7,X1,X2)
& coll(X10,X1,X2)
& perp(X9,X7,X1,X3)
& coll(X9,X1,X3) )
=> perp(X1,X17,X9,X10) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL8110999]) ).
fof(c_0_37,plain,
! [X11,X12,X13,X14] :
( ~ eqangle(X13,X11,X13,X12,X14,X11,X14,X12)
| coll(X13,X14,X11)
| cyclic(X11,X12,X13,X14) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ruleD42a])])]) ).
cnf(c_0_38,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_33]) ).
cnf(c_0_39,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
fof(c_0_40,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_41,negated_conjecture,
( eqangle(esk23_0,esk21_0,esk21_0,esk25_0,esk24_0,esk21_0,esk21_0,esk22_0)
& perp(esk26_0,esk24_0,esk21_0,esk22_0)
& coll(esk26_0,esk21_0,esk22_0)
& perp(esk27_0,esk24_0,esk21_0,esk23_0)
& coll(esk27_0,esk21_0,esk23_0)
& ~ perp(esk21_0,esk25_0,esk27_0,esk26_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])]) ).
fof(c_0_42,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_43,plain,
( cyclic(X1,X2,X3,X4)
| coll(X3,X4,X1)
| ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_44,plain,
( cyclic(X1,X1,X2,X3)
| ~ para(X2,X1,X2,X1)
| ~ coll(X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,plain,
( para(X1,X2,X3,X4)
| ~ perp(X5,X6,X3,X4)
| ~ perp(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_46,negated_conjecture,
perp(esk26_0,esk24_0,esk21_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_47,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_48,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])])])]) ).
fof(c_0_49,plain,
! [X11,X12,X13,X14] :
( ~ cyclic(X11,X12,X13,X14)
| eqangle(X13,X11,X13,X12,X14,X11,X14,X12) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
fof(c_0_50,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])])])]) ).
fof(c_0_51,plain,
! [X5,X6,X7,X8] :
( ~ cyclic(X5,X6,X7,X8)
| cyclic(X5,X6,X8,X7) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_52,plain,
( cyclic(X1,X1,X2,X3)
| ~ para(X2,X1,X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_39]),c_0_44]) ).
cnf(c_0_53,negated_conjecture,
( para(X1,X2,esk21_0,esk22_0)
| ~ perp(X1,X2,esk26_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_54,negated_conjecture,
perp(esk21_0,esk22_0,esk26_0,esk24_0),
inference(spm,[status(thm)],[c_0_47,c_0_46]) ).
cnf(c_0_55,plain,
( para(X1,X2,X3,X4)
| ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_56,plain,
( eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
| ~ cyclic(X2,X3,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
fof(c_0_57,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_58,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_50]) ).
cnf(c_0_59,plain,
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_60,negated_conjecture,
cyclic(esk22_0,esk22_0,esk21_0,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54])]) ).
cnf(c_0_61,plain,
( para(X1,X2,X1,X2)
| ~ cyclic(X2,X3,X1,X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
fof(c_0_62,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])]) ).
cnf(c_0_63,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_57]) ).
cnf(c_0_64,negated_conjecture,
eqangle(esk23_0,esk21_0,esk21_0,esk25_0,esk24_0,esk21_0,esk21_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_65,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])]) ).
cnf(c_0_66,negated_conjecture,
perp(esk27_0,esk24_0,esk21_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_67,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_68,plain,
( para(X1,X2,X1,X3)
| ~ cyclic(X2,X3,X1,X4)
| ~ para(X4,X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_58,c_0_56]) ).
cnf(c_0_69,negated_conjecture,
cyclic(esk22_0,esk22_0,X1,esk21_0),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_70,negated_conjecture,
para(esk21_0,esk22_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_61,c_0_60]) ).
fof(c_0_71,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])]) ).
fof(c_0_72,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_73,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_62]) ).
cnf(c_0_74,negated_conjecture,
eqangle(esk24_0,esk21_0,esk21_0,esk22_0,esk23_0,esk21_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_75,plain,
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_76,negated_conjecture,
perp(esk21_0,esk23_0,esk27_0,esk24_0),
inference(spm,[status(thm)],[c_0_47,c_0_66]) ).
fof(c_0_77,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_78,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_79,negated_conjecture,
para(X1,esk22_0,X1,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70])]) ).
cnf(c_0_80,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_81,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_72]) ).
cnf(c_0_82,negated_conjecture,
eqangle(esk21_0,esk24_0,esk21_0,esk22_0,esk23_0,esk21_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_83,negated_conjecture,
cyclic(esk22_0,esk21_0,esk22_0,X1),
inference(spm,[status(thm)],[c_0_75,c_0_60]) ).
fof(c_0_84,plain,
! [X6,X7,X8,X9,X10] :
( ~ cyclic(X6,X7,X8,X9)
| ~ cyclic(X6,X7,X8,X10)
| cyclic(X7,X8,X9,X10) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_85,negated_conjecture,
( para(X1,X2,esk27_0,esk24_0)
| ~ perp(X1,X2,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_76]) ).
fof(c_0_86,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_87,plain,
( coll(X1,X2,X3)
| ~ coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_88,negated_conjecture,
coll(X1,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_89,negated_conjecture,
perp(esk27_0,esk24_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_80,c_0_66]) ).
cnf(c_0_90,negated_conjecture,
( para(X1,X2,esk21_0,esk23_0)
| ~ perp(X1,X2,esk27_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_66]) ).
cnf(c_0_91,negated_conjecture,
eqangle(esk21_0,esk22_0,esk21_0,esk24_0,esk21_0,esk25_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_92,negated_conjecture,
para(esk22_0,esk22_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_61,c_0_83]) ).
fof(c_0_93,plain,
! [X16,X17,X18,X19,X20,X21] :
( ~ cyclic(X16,X17,X18,X19)
| ~ cyclic(X16,X17,X18,X20)
| ~ cyclic(X16,X17,X18,X21)
| ~ eqangle(X18,X16,X18,X17,X21,X19,X21,X20)
| cong(X16,X17,X19,X20) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])])])]) ).
cnf(c_0_94,plain,
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X5,X1,X2,X4)
| ~ cyclic(X5,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_95,negated_conjecture,
cyclic(esk24_0,esk24_0,esk27_0,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_85]),c_0_66])]) ).
fof(c_0_96,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_97,plain,
( coll(X1,X2,X3)
| ~ coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_98,negated_conjecture,
coll(esk22_0,X1,esk22_0),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_99,negated_conjecture,
( para(X1,X2,esk23_0,esk21_0)
| ~ perp(X1,X2,esk27_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_89]) ).
cnf(c_0_100,negated_conjecture,
perp(esk23_0,esk21_0,esk27_0,esk24_0),
inference(spm,[status(thm)],[c_0_47,c_0_89]) ).
cnf(c_0_101,negated_conjecture,
cyclic(esk23_0,esk23_0,esk21_0,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_90]),c_0_76])]) ).
fof(c_0_102,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_103,negated_conjecture,
eqangle(esk21_0,esk25_0,esk23_0,esk21_0,esk21_0,esk22_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_81,c_0_64]) ).
cnf(c_0_104,negated_conjecture,
eqangle(esk22_0,esk21_0,esk21_0,esk24_0,esk21_0,esk25_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_73,c_0_91]) ).
cnf(c_0_105,negated_conjecture,
cyclic(esk22_0,esk22_0,esk22_0,X1),
inference(spm,[status(thm)],[c_0_52,c_0_92]) ).
cnf(c_0_106,plain,
( cong(X1,X2,X3,X4)
| ~ eqangle(X5,X1,X5,X2,X6,X3,X6,X4)
| ~ cyclic(X1,X2,X5,X6)
| ~ cyclic(X1,X2,X5,X4)
| ~ cyclic(X1,X2,X5,X3) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_107,negated_conjecture,
cyclic(esk22_0,esk21_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_60]),c_0_60])]) ).
cnf(c_0_108,negated_conjecture,
cyclic(esk24_0,esk27_0,esk24_0,X1),
inference(spm,[status(thm)],[c_0_75,c_0_95]) ).
cnf(c_0_109,plain,
( coll(X1,X2,X3)
| ~ coll(X3,X4,X2)
| ~ coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_110,negated_conjecture,
coll(esk22_0,esk22_0,X1),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_111,negated_conjecture,
cyclic(esk21_0,esk21_0,esk23_0,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_99]),c_0_100])]) ).
cnf(c_0_112,negated_conjecture,
cyclic(esk23_0,esk21_0,esk23_0,X1),
inference(spm,[status(thm)],[c_0_75,c_0_101]) ).
cnf(c_0_113,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_102]) ).
cnf(c_0_114,negated_conjecture,
eqangle(esk25_0,esk21_0,esk23_0,esk21_0,esk21_0,esk22_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_73,c_0_103]) ).
cnf(c_0_115,negated_conjecture,
eqangle(esk21_0,esk25_0,esk23_0,esk21_0,esk22_0,esk21_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_63,c_0_104]) ).
cnf(c_0_116,negated_conjecture,
cyclic(esk22_0,esk22_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_105]),c_0_105])]) ).
fof(c_0_117,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_118,plain,
( cong(X1,X2,X1,X2)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X2)
| ~ cyclic(X1,X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_106,c_0_56]) ).
cnf(c_0_119,negated_conjecture,
cyclic(esk22_0,X1,esk21_0,X2),
inference(spm,[status(thm)],[c_0_75,c_0_107]) ).
cnf(c_0_120,negated_conjecture,
para(esk24_0,esk24_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_61,c_0_108]) ).
cnf(c_0_121,negated_conjecture,
eqangle(esk21_0,esk23_0,esk21_0,esk25_0,esk24_0,esk21_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_73,c_0_64]) ).
cnf(c_0_122,negated_conjecture,
coll(X1,X2,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_110])]) ).
fof(c_0_123,plain,
! [X5,X6,X7,X8] :
( ~ cyclic(X5,X6,X7,X8)
| cyclic(X6,X5,X7,X8) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_124,negated_conjecture,
cyclic(esk21_0,esk23_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_111]),c_0_111])]) ).
cnf(c_0_125,negated_conjecture,
para(esk23_0,esk23_0,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_61,c_0_112]) ).
cnf(c_0_126,negated_conjecture,
( perp(esk21_0,esk25_0,esk23_0,esk21_0)
| ~ perp(esk21_0,esk22_0,esk24_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_113,c_0_103]) ).
cnf(c_0_127,negated_conjecture,
eqangle(esk21_0,esk22_0,esk24_0,esk21_0,esk25_0,esk21_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_63,c_0_114]) ).
cnf(c_0_128,negated_conjecture,
eqangle(esk25_0,esk21_0,esk23_0,esk21_0,esk22_0,esk21_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_73,c_0_115]) ).
cnf(c_0_129,plain,
( eqangle(X1,X2,X2,X3,X4,X1,X4,X3)
| ~ cyclic(X1,X3,X2,X4) ),
inference(spm,[status(thm)],[c_0_73,c_0_56]) ).
cnf(c_0_130,negated_conjecture,
cyclic(esk22_0,X1,esk22_0,X2),
inference(spm,[status(thm)],[c_0_75,c_0_116]) ).
cnf(c_0_131,plain,
( perp(X1,X2,X3,X4)
| ~ cong(X1,X4,X2,X4)
| ~ cong(X1,X3,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_132,negated_conjecture,
cong(esk22_0,X1,esk22_0,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_119]),c_0_119])]) ).
cnf(c_0_133,negated_conjecture,
cyclic(esk24_0,esk24_0,esk24_0,X1),
inference(spm,[status(thm)],[c_0_52,c_0_120]) ).
cnf(c_0_134,negated_conjecture,
cyclic(esk24_0,esk27_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_95])]) ).
fof(c_0_135,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_136,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_137,negated_conjecture,
eqangle(esk24_0,esk21_0,esk21_0,esk22_0,esk21_0,esk23_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_63,c_0_121]) ).
fof(c_0_138,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])]) ).
cnf(c_0_139,negated_conjecture,
coll(X1,esk22_0,X2),
inference(spm,[status(thm)],[c_0_97,c_0_122]) ).
cnf(c_0_140,plain,
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X2,X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_141,negated_conjecture,
cyclic(esk21_0,X1,esk23_0,X2),
inference(spm,[status(thm)],[c_0_75,c_0_124]) ).
cnf(c_0_142,negated_conjecture,
cyclic(esk23_0,esk23_0,esk23_0,X1),
inference(spm,[status(thm)],[c_0_52,c_0_125]) ).
cnf(c_0_143,negated_conjecture,
cyclic(esk23_0,esk21_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_101]),c_0_101])]) ).
cnf(c_0_144,negated_conjecture,
( perp(esk21_0,esk24_0,esk21_0,esk22_0)
| ~ perp(esk23_0,esk21_0,esk21_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_113,c_0_82]) ).
cnf(c_0_145,negated_conjecture,
( perp(esk23_0,esk21_0,esk21_0,esk25_0)
| ~ perp(esk21_0,esk22_0,esk24_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_126]) ).
cnf(c_0_146,negated_conjecture,
( perp(esk21_0,esk22_0,esk24_0,esk21_0)
| ~ perp(esk25_0,esk21_0,esk23_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_113,c_0_127]) ).
cnf(c_0_147,negated_conjecture,
( perp(esk25_0,esk21_0,esk23_0,esk21_0)
| ~ perp(esk22_0,esk21_0,esk21_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_113,c_0_128]) ).
cnf(c_0_148,plain,
( perp(X1,X2,X2,X3)
| ~ cyclic(X1,X3,X2,X4)
| ~ perp(X4,X1,X4,X3) ),
inference(spm,[status(thm)],[c_0_113,c_0_129]) ).
cnf(c_0_149,negated_conjecture,
cyclic(esk22_0,X1,X2,esk22_0),
inference(spm,[status(thm)],[c_0_59,c_0_130]) ).
cnf(c_0_150,negated_conjecture,
perp(esk22_0,esk22_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_132])]) ).
cnf(c_0_151,negated_conjecture,
cyclic(esk24_0,esk24_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_133]),c_0_133])]) ).
cnf(c_0_152,negated_conjecture,
cyclic(esk24_0,X1,esk27_0,X2),
inference(spm,[status(thm)],[c_0_75,c_0_134]) ).
fof(c_0_153,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_154,plain,
( para(X1,X2,X3,X4)
| ~ para(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_135]) ).
cnf(c_0_155,negated_conjecture,
( para(esk21_0,esk25_0,esk23_0,esk21_0)
| ~ para(esk21_0,esk22_0,esk24_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_103]) ).
cnf(c_0_156,plain,
( para(X1,X2,X3,X4)
| ~ para(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
cnf(c_0_157,negated_conjecture,
( para(esk24_0,esk21_0,esk21_0,esk22_0)
| ~ para(esk21_0,esk23_0,esk21_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_137]) ).
cnf(c_0_158,plain,
( midp(X1,X2,X3)
| ~ coll(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_159,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_139]),c_0_139])]) ).
cnf(c_0_160,negated_conjecture,
cyclic(X1,esk21_0,esk23_0,X2),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_161,negated_conjecture,
( perp(esk21_0,esk25_0,esk21_0,esk23_0)
| ~ perp(esk21_0,esk22_0,esk24_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_80,c_0_126]) ).
cnf(c_0_162,negated_conjecture,
cyclic(esk23_0,esk23_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_142]),c_0_142])]) ).
cnf(c_0_163,negated_conjecture,
cyclic(esk23_0,X1,esk21_0,X2),
inference(spm,[status(thm)],[c_0_75,c_0_143]) ).
cnf(c_0_164,negated_conjecture,
( perp(esk21_0,esk24_0,esk21_0,esk22_0)
| ~ perp(esk21_0,esk22_0,esk24_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_165,negated_conjecture,
( perp(esk21_0,esk22_0,esk24_0,esk21_0)
| ~ perp(esk22_0,esk21_0,esk21_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_166,negated_conjecture,
perp(esk22_0,X1,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_150])]) ).
cnf(c_0_167,negated_conjecture,
cyclic(esk24_0,X1,esk24_0,X2),
inference(spm,[status(thm)],[c_0_75,c_0_151]) ).
cnf(c_0_168,negated_conjecture,
cong(esk24_0,X1,esk24_0,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_152]),c_0_152]),c_0_152])]) ).
fof(c_0_169,plain,
! [X8,X9,X10,X11] :
( ~ perp(X8,X9,X9,X10)
| ~ midp(X11,X8,X10)
| cong(X8,X11,X9,X11) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD52])]) ).
cnf(c_0_170,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_153]) ).
cnf(c_0_171,negated_conjecture,
( para(esk21_0,esk25_0,esk21_0,esk23_0)
| ~ para(esk21_0,esk22_0,esk24_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_172,negated_conjecture,
( para(esk21_0,esk22_0,esk24_0,esk21_0)
| ~ para(esk21_0,esk23_0,esk21_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_173,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_159])]) ).
cnf(c_0_174,negated_conjecture,
cong(X1,esk21_0,X1,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_160]),c_0_160]),c_0_160])]) ).
cnf(c_0_175,negated_conjecture,
( perp(esk21_0,esk23_0,esk21_0,esk25_0)
| ~ perp(esk21_0,esk22_0,esk24_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_161]) ).
cnf(c_0_176,negated_conjecture,
cyclic(esk23_0,X1,esk23_0,X2),
inference(spm,[status(thm)],[c_0_75,c_0_162]) ).
cnf(c_0_177,negated_conjecture,
cong(esk23_0,X1,esk23_0,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_163]),c_0_163]),c_0_163])]) ).
cnf(c_0_178,negated_conjecture,
( para(X1,X2,esk21_0,esk22_0)
| ~ perp(esk21_0,esk22_0,esk24_0,esk21_0)
| ~ perp(X1,X2,esk21_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_164]) ).
cnf(c_0_179,negated_conjecture,
perp(esk21_0,esk22_0,esk24_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_166])]) ).
cnf(c_0_180,negated_conjecture,
cyclic(esk24_0,X1,X2,esk24_0),
inference(spm,[status(thm)],[c_0_59,c_0_167]) ).
cnf(c_0_181,negated_conjecture,
perp(esk24_0,esk24_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_168]),c_0_168])]) ).
cnf(c_0_182,plain,
( cong(X1,X2,X3,X2)
| ~ midp(X2,X1,X4)
| ~ perp(X1,X3,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_169]) ).
cnf(c_0_183,negated_conjecture,
( midp(X1,esk23_0,esk25_0)
| ~ midp(X1,esk21_0,esk21_0)
| ~ para(esk21_0,esk23_0,esk21_0,esk25_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_172]) ).
cnf(c_0_184,negated_conjecture,
midp(X1,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_185,negated_conjecture,
( para(X1,X2,esk21_0,esk25_0)
| ~ perp(esk21_0,esk22_0,esk24_0,esk21_0)
| ~ perp(X1,X2,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_175]) ).
cnf(c_0_186,plain,
( perp(X1,X2,X1,X3)
| ~ cyclic(X2,X3,X1,X4)
| ~ perp(X4,X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_113,c_0_56]) ).
cnf(c_0_187,negated_conjecture,
cyclic(esk23_0,X1,X2,esk23_0),
inference(spm,[status(thm)],[c_0_59,c_0_176]) ).
cnf(c_0_188,negated_conjecture,
perp(esk23_0,esk23_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_177]),c_0_177])]) ).
fof(c_0_189,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_190,negated_conjecture,
( para(esk24_0,esk21_0,esk21_0,esk22_0)
| ~ para(esk23_0,esk21_0,esk21_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_74]) ).
cnf(c_0_191,negated_conjecture,
( para(esk23_0,esk21_0,esk21_0,esk25_0)
| ~ para(esk24_0,esk21_0,esk21_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_64]) ).
cnf(c_0_192,negated_conjecture,
( para(X1,X2,esk21_0,esk22_0)
| ~ perp(X1,X2,esk21_0,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_179])]) ).
cnf(c_0_193,negated_conjecture,
perp(esk24_0,X1,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_180]),c_0_181])]) ).
cnf(c_0_194,negated_conjecture,
( cong(esk23_0,X1,esk21_0,X1)
| ~ midp(X1,esk23_0,esk25_0)
| ~ perp(esk21_0,esk22_0,esk24_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_182,c_0_145]) ).
cnf(c_0_195,negated_conjecture,
( midp(X1,esk23_0,esk25_0)
| ~ para(esk21_0,esk23_0,esk21_0,esk25_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_183,c_0_184])]) ).
cnf(c_0_196,negated_conjecture,
( para(X1,X2,esk21_0,esk25_0)
| ~ perp(X1,X2,esk21_0,esk23_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_185,c_0_179])]) ).
cnf(c_0_197,negated_conjecture,
perp(X1,esk23_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_188])]) ).
cnf(c_0_198,plain,
( perp(X1,X2,X3,X4)
| ~ perp(X5,X6,X3,X4)
| ~ para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_189]) ).
cnf(c_0_199,negated_conjecture,
( para(esk21_0,esk22_0,esk24_0,esk21_0)
| ~ para(esk23_0,esk21_0,esk21_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_156,c_0_190]) ).
cnf(c_0_200,negated_conjecture,
para(esk23_0,esk21_0,esk21_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_193])]) ).
cnf(c_0_201,negated_conjecture,
( cong(esk23_0,X1,esk21_0,X1)
| ~ midp(X1,esk23_0,esk25_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_194,c_0_179])]) ).
cnf(c_0_202,negated_conjecture,
midp(X1,esk23_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_197])]) ).
cnf(c_0_203,negated_conjecture,
( perp(esk21_0,esk25_0,X1,X2)
| ~ perp(esk23_0,esk21_0,X1,X2)
| ~ para(esk21_0,esk22_0,esk24_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_198,c_0_155]) ).
cnf(c_0_204,negated_conjecture,
para(esk21_0,esk22_0,esk24_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_199,c_0_200])]) ).
cnf(c_0_205,negated_conjecture,
cong(esk23_0,X1,esk21_0,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_201,c_0_202])]) ).
cnf(c_0_206,negated_conjecture,
( perp(esk21_0,esk25_0,X1,X2)
| ~ perp(esk23_0,esk21_0,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_203,c_0_204])]) ).
cnf(c_0_207,negated_conjecture,
perp(esk23_0,esk21_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_205]),c_0_205])]) ).
cnf(c_0_208,negated_conjecture,
~ perp(esk21_0,esk25_0,esk27_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_209,negated_conjecture,
perp(esk21_0,esk25_0,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_206,c_0_207])]) ).
cnf(c_0_210,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_208,c_0_209])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO636+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.11 % Command : run_ET %s %d
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Sat Jun 18 02:27:16 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.21/2.39 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.21/2.39 # Preprocessing time : 0.021 s
% 0.21/2.39
% 0.21/2.39 # Proof found!
% 0.21/2.39 # SZS status Theorem
% 0.21/2.39 # SZS output start CNFRefutation
% See solution above
% 0.21/2.39 # Proof object total steps : 211
% 0.21/2.39 # Proof object clause steps : 148
% 0.21/2.39 # Proof object formula steps : 63
% 0.21/2.39 # Proof object conjectures : 111
% 0.21/2.39 # Proof object clause conjectures : 108
% 0.21/2.39 # Proof object formula conjectures : 3
% 0.21/2.39 # Proof object initial clauses used : 34
% 0.21/2.39 # Proof object initial formulas used : 31
% 0.21/2.39 # Proof object generating inferences : 103
% 0.21/2.39 # Proof object simplifying inferences : 82
% 0.21/2.39 # Training examples: 0 positive, 0 negative
% 0.21/2.39 # Parsed axioms : 95
% 0.21/2.39 # Removed by relevancy pruning/SinE : 0
% 0.21/2.39 # Initial clauses : 119
% 0.21/2.39 # Removed in clause preprocessing : 0
% 0.21/2.39 # Initial clauses in saturation : 119
% 0.21/2.39 # Processed clauses : 8312
% 0.21/2.39 # ...of these trivial : 1609
% 0.21/2.39 # ...subsumed : 1575
% 0.21/2.39 # ...remaining for further processing : 5128
% 0.21/2.39 # Other redundant clauses eliminated : 0
% 0.21/2.39 # Clauses deleted for lack of memory : 0
% 0.21/2.39 # Backward-subsumed : 413
% 0.21/2.39 # Backward-rewritten : 2279
% 0.21/2.39 # Generated clauses : 81048
% 0.21/2.39 # ...of the previous two non-trivial : 64879
% 0.21/2.39 # Contextual simplify-reflections : 144
% 0.21/2.39 # Paramodulations : 81048
% 0.21/2.39 # Factorizations : 0
% 0.21/2.39 # Equation resolutions : 0
% 0.21/2.39 # Current number of processed clauses : 2436
% 0.21/2.39 # Positive orientable unit clauses : 1592
% 0.21/2.39 # Positive unorientable unit clauses: 0
% 0.21/2.39 # Negative unit clauses : 1
% 0.21/2.39 # Non-unit-clauses : 843
% 0.21/2.39 # Current number of unprocessed clauses: 31984
% 0.21/2.39 # ...number of literals in the above : 89708
% 0.21/2.39 # Current number of archived formulas : 0
% 0.21/2.39 # Current number of archived clauses : 2692
% 0.21/2.39 # Clause-clause subsumption calls (NU) : 404309
% 0.21/2.39 # Rec. Clause-clause subsumption calls : 276780
% 0.21/2.39 # Non-unit clause-clause subsumptions : 1833
% 0.21/2.39 # Unit Clause-clause subsumption calls : 213734
% 0.21/2.39 # Rewrite failures with RHS unbound : 0
% 0.21/2.39 # BW rewrite match attempts : 29535
% 0.21/2.39 # BW rewrite match successes : 1427
% 0.21/2.39 # Condensation attempts : 0
% 0.21/2.39 # Condensation successes : 0
% 0.21/2.39 # Termbank termtop insertions : 1006917
% 0.21/2.39
% 0.21/2.39 # -------------------------------------------------
% 0.21/2.39 # User time : 1.007 s
% 0.21/2.39 # System time : 0.023 s
% 0.21/2.39 # Total time : 1.030 s
% 0.21/2.39 # Maximum resident set size: 36192 pages
% 0.21/23.38 eprover: CPU time limit exceeded, terminating
% 0.21/23.38 eprover: CPU time limit exceeded, terminating
% 0.21/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.40 eprover: No such file or directory
% 0.21/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.40 eprover: No such file or directory
% 0.21/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.41 eprover: No such file or directory
% 0.21/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.41 eprover: No such file or directory
% 0.21/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.41 eprover: No such file or directory
% 0.21/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.41 eprover: No such file or directory
% 0.21/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.42 eprover: No such file or directory
% 0.21/23.42 eprover: No such file or directory
% 0.21/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.42 eprover: No such file or directory
% 0.21/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.42 eprover: No such file or directory
% 0.21/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.43 eprover: No such file or directory
% 0.21/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.43 eprover: No such file or directory
% 0.21/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.43 eprover: No such file or directory
% 0.21/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.43 eprover: No such file or directory
% 0.21/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.43 eprover: No such file or directory
% 0.21/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.44 eprover: No such file or directory
% 0.21/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.44 eprover: No such file or directory
% 0.21/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.44 eprover: No such file or directory
% 0.21/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.44 eprover: No such file or directory
% 0.21/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.45 eprover: No such file or directory
% 0.21/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.45 eprover: No such file or directory
% 0.21/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.45 eprover: No such file or directory
% 0.21/23.55 eprover: CPU time limit exceeded, terminating
% 0.21/23.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.56 eprover: No such file or directory
% 0.21/23.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.57 eprover: No such file or directory
% 0.21/23.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.57 eprover: No such file or directory
% 0.21/23.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.58 eprover: No such file or directory
% 0.21/23.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.58 eprover: No such file or directory
% 0.21/23.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.59 eprover: No such file or directory
% 0.21/23.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.60 eprover: No such file or directory
% 0.21/23.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.60 eprover: No such file or directory
% 0.21/23.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.61 eprover: No such file or directory
% 0.21/23.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.61 eprover: No such file or directory
%------------------------------------------------------------------------------