%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : PRO004+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n022.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 : Mon Jul 18 17:44:54 EDT 2022
% Result : Theorem 0.29s 10.46s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 25
% Syntax : Number of formulae : 183 ( 25 unt; 0 def)
% Number of atoms : 621 ( 55 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 787 ( 349 ~; 366 |; 52 &)
% ( 3 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 399 ( 26 sgn 117 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
~ ? [X172] : occurrence_of(X172,tptp0),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).
fof(sos_02,axiom,
! [X5,X6,X7] :
( ( occurrence_of(X5,X6)
& occurrence_of(X5,X7) )
=> X6 = X7 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_02) ).
fof(sos_33,axiom,
! [X100,X101] :
( root_occ(X100,X101)
<=> ? [X102] :
( occurrence_of(X101,X102)
& subactivity_occurrence(X100,X101)
& root(X100,X102) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_33) ).
fof(sos_27,axiom,
! [X77,X78] :
( ( occurrence_of(X78,X77)
& ~ atomic(X77) )
=> ? [X79] :
( root(X79,X77)
& subactivity_occurrence(X79,X78) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_27) ).
fof(sos_35,axiom,
! [X106,X107,X108,X109] :
( ( occurrence_of(X108,X109)
& root_occ(X106,X108)
& root_occ(X107,X108) )
=> X106 = X107 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_35) ).
fof(sos_49,axiom,
! [X162] :
( occurrence_of(X162,tptp0)
=> ? [X163,X164] :
( occurrence_of(X163,tptp4)
& root_occ(X163,X162)
& occurrence_of(X164,tptp3)
& leaf_occ(X164,X162)
& next_subocc(X163,X164,tptp0) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_49) ).
fof(sos_37,axiom,
! [X114,X115,X116] :
( ( occurrence_of(X114,X116)
& leaf_occ(X115,X114) )
=> ~ ? [X117] : min_precedes(X115,X117,X116) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_37) ).
fof(sos_22,axiom,
! [X61,X62,X63] :
( next_subocc(X61,X62,X63)
<=> ( min_precedes(X61,X62,X63)
& ~ ? [X64] :
( min_precedes(X61,X64,X63)
& min_precedes(X64,X62,X63) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_22) ).
fof(sos_46,axiom,
! [X149,X150,X151] :
( min_precedes(X149,X150,X151)
=> arboreal(X149) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_46) ).
fof(sos_38,axiom,
! [X118,X119,X120] :
( ( occurrence_of(X118,X120)
& root_occ(X119,X118) )
=> ~ ? [X121] : min_precedes(X121,X119,X120) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_38) ).
fof(sos_62,axiom,
! [X165,X166] :
( ( occurrence_of(X166,tptp0)
& subactivity_occurrence(X165,X166)
& arboreal(X165)
& ~ leaf_occ(X165,X166) )
=> root_occ(X165,X166) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_62) ).
fof(sos_29,axiom,
! [X84,X85,X86,X87] :
( ( min_precedes(X84,X85,X86)
& occurrence_of(X87,X86)
& subactivity_occurrence(X85,X87) )
=> subactivity_occurrence(X84,X87) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_29) ).
fof(sos_25,axiom,
! [X70,X71,X72] :
( min_precedes(X71,X72,X70)
=> ? [X73] :
( occurrence_of(X73,X70)
& subactivity_occurrence(X71,X73)
& subactivity_occurrence(X72,X73) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_25) ).
fof(sos_51,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_51) ).
fof(sos_64,axiom,
! [X169,X170] :
( ( occurrence_of(X170,tptp0)
& subactivity_occurrence(X169,X170)
& arboreal(X169)
& ~ leaf_occ(X169,X170) )
=> ? [X171] :
( occurrence_of(X171,tptp1)
& next_subocc(X169,X171,tptp0) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_64) ).
fof(sos_26,axiom,
! [X74,X75] :
( ( root(X75,X74)
& ~ atomic(X74) )
=> ? [X76] :
( occurrence_of(X76,X74)
& subactivity_occurrence(X75,X76) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_26) ).
fof(sos_41,axiom,
! [X131,X132,X133,X134] :
( ( occurrence_of(X131,X134)
& leaf_occ(X132,X131)
& root_occ(X133,X131)
& X132 != X133 )
=> min_precedes(X133,X132,X134) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_41) ).
fof(sos_07,axiom,
! [X17,X18] :
( occurrence_of(X17,X18)
=> ( arboreal(X17)
<=> atomic(X18) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_07) ).
fof(sos_52,axiom,
atomic(tptp4),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_52) ).
fof(sos_40,axiom,
! [X127,X128,X129,X130] :
( ( next_subocc(X128,X127,X130)
& next_subocc(X129,X127,X130) )
=> X128 = X129 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_40) ).
fof(sos_43,axiom,
! [X139,X140,X141,X142] :
( ( occurrence_of(X140,X139)
& subactivity_occurrence(X141,X140)
& leaf_occ(X142,X140)
& arboreal(X141)
& ~ min_precedes(X141,X142,X139) )
=> X142 = X141 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_43) ).
fof(sos_14,axiom,
! [X36,X37,X38] :
( min_precedes(X36,X37,X38)
=> ~ root(X37,X38) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_14) ).
fof(sos_53,axiom,
atomic(tptp3),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_53) ).
fof(sos_55,axiom,
atomic(tptp1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_55) ).
fof(sos_59,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_59) ).
fof(c_0_25,negated_conjecture,
~ ~ ? [X172] : occurrence_of(X172,tptp0),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_26,plain,
! [X8,X9,X10] :
( ~ occurrence_of(X8,X9)
| ~ occurrence_of(X8,X10)
| X9 = X10 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_02])]) ).
fof(c_0_27,negated_conjecture,
occurrence_of(esk1_0,tptp0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
fof(c_0_28,plain,
! [X103,X104,X103,X104,X106] :
( ( occurrence_of(X104,esk6_2(X103,X104))
| ~ root_occ(X103,X104) )
& ( subactivity_occurrence(X103,X104)
| ~ root_occ(X103,X104) )
& ( root(X103,esk6_2(X103,X104))
| ~ root_occ(X103,X104) )
& ( ~ occurrence_of(X104,X106)
| ~ subactivity_occurrence(X103,X104)
| ~ root(X103,X106)
| root_occ(X103,X104) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_33])])])])])])]) ).
fof(c_0_29,plain,
! [X80,X81] :
( ( root(esk10_2(X80,X81),X80)
| ~ occurrence_of(X81,X80)
| atomic(X80) )
& ( subactivity_occurrence(esk10_2(X80,X81),X81)
| ~ occurrence_of(X81,X80)
| atomic(X80) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[sos_27])])])])])])]) ).
cnf(c_0_30,plain,
( X1 = X2
| ~ occurrence_of(X3,X2)
| ~ occurrence_of(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,negated_conjecture,
occurrence_of(esk1_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_32,plain,
! [X110,X111,X112,X113] :
( ~ occurrence_of(X112,X113)
| ~ root_occ(X110,X112)
| ~ root_occ(X111,X112)
| X110 = X111 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_35])])])]) ).
cnf(c_0_33,plain,
( root_occ(X1,X2)
| ~ root(X1,X3)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,plain,
( atomic(X1)
| root(esk10_2(X1,X2),X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_35,negated_conjecture,
( X1 = tptp0
| ~ occurrence_of(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,plain,
( occurrence_of(X2,esk6_2(X1,X2))
| ~ root_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_37,plain,
( X1 = X2
| ~ root_occ(X2,X3)
| ~ root_occ(X1,X3)
| ~ occurrence_of(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_38,plain,
( root_occ(esk10_2(X1,X2),X3)
| atomic(X1)
| ~ subactivity_occurrence(esk10_2(X1,X2),X3)
| ~ occurrence_of(X3,X1)
| ~ occurrence_of(X2,X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,plain,
( root(X1,esk6_2(X1,X2))
| ~ root_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_40,negated_conjecture,
( esk6_2(X1,esk1_0) = tptp0
| ~ root_occ(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_41,plain,
( X1 = esk10_2(X2,X3)
| atomic(X2)
| ~ root_occ(X1,X4)
| ~ subactivity_occurrence(esk10_2(X2,X3),X4)
| ~ occurrence_of(X4,X5)
| ~ occurrence_of(X4,X2)
| ~ occurrence_of(X3,X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,plain,
( atomic(X1)
| subactivity_occurrence(esk10_2(X1,X2),X2)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_43,plain,
! [X165] :
( ( occurrence_of(esk2_1(X165),tptp4)
| ~ occurrence_of(X165,tptp0) )
& ( root_occ(esk2_1(X165),X165)
| ~ occurrence_of(X165,tptp0) )
& ( occurrence_of(esk3_1(X165),tptp3)
| ~ occurrence_of(X165,tptp0) )
& ( leaf_occ(esk3_1(X165),X165)
| ~ occurrence_of(X165,tptp0) )
& ( next_subocc(esk2_1(X165),esk3_1(X165),tptp0)
| ~ occurrence_of(X165,tptp0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_49])])])])])]) ).
fof(c_0_44,plain,
! [X118,X119,X120,X121] :
( ~ occurrence_of(X118,X120)
| ~ leaf_occ(X119,X118)
| ~ min_precedes(X119,X121,X120) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_37])])])])]) ).
fof(c_0_45,plain,
! [X65,X66,X67,X68,X65,X66,X67] :
( ( min_precedes(X65,X66,X67)
| ~ next_subocc(X65,X66,X67) )
& ( ~ min_precedes(X65,X68,X67)
| ~ min_precedes(X68,X66,X67)
| ~ next_subocc(X65,X66,X67) )
& ( min_precedes(X65,esk5_3(X65,X66,X67),X67)
| ~ min_precedes(X65,X66,X67)
| next_subocc(X65,X66,X67) )
& ( min_precedes(esk5_3(X65,X66,X67),X66,X67)
| ~ min_precedes(X65,X66,X67)
| next_subocc(X65,X66,X67) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_22])])])])])])]) ).
fof(c_0_46,plain,
! [X152,X153,X154] :
( ~ min_precedes(X152,X153,X154)
| arboreal(X152) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_46])])])]) ).
fof(c_0_47,plain,
! [X122,X123,X124,X125] :
( ~ occurrence_of(X122,X124)
| ~ root_occ(X123,X122)
| ~ min_precedes(X125,X123,X124) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_38])])])])]) ).
cnf(c_0_48,negated_conjecture,
( root(X1,tptp0)
| ~ root_occ(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_49,plain,
( X1 = esk10_2(X2,X3)
| atomic(X2)
| ~ root_occ(X1,X3)
| ~ occurrence_of(X3,X4)
| ~ occurrence_of(X3,X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_50,plain,
( root_occ(esk2_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_51,plain,
( ~ min_precedes(X1,X2,X3)
| ~ leaf_occ(X1,X4)
| ~ occurrence_of(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_52,plain,
( next_subocc(X1,X2,X3)
| min_precedes(esk5_3(X1,X2,X3),X2,X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_53,plain,
! [X167,X168] :
( ~ occurrence_of(X168,tptp0)
| ~ subactivity_occurrence(X167,X168)
| ~ arboreal(X167)
| leaf_occ(X167,X168)
| root_occ(X167,X168) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[sos_62])])]) ).
cnf(c_0_54,plain,
( arboreal(X1)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_55,plain,
( ~ min_precedes(X1,X2,X3)
| ~ root_occ(X2,X4)
| ~ occurrence_of(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_56,plain,
( next_subocc(X1,X2,X3)
| min_precedes(X1,esk5_3(X1,X2,X3),X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_57,plain,
! [X88,X89,X90,X91] :
( ~ min_precedes(X88,X89,X90)
| ~ occurrence_of(X91,X90)
| ~ subactivity_occurrence(X89,X91)
| subactivity_occurrence(X88,X91) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_29])]) ).
fof(c_0_58,plain,
! [X74,X75,X76] :
( ( occurrence_of(esk7_3(X74,X75,X76),X74)
| ~ min_precedes(X75,X76,X74) )
& ( subactivity_occurrence(X75,esk7_3(X74,X75,X76))
| ~ min_precedes(X75,X76,X74) )
& ( subactivity_occurrence(X76,esk7_3(X74,X75,X76))
| ~ min_precedes(X75,X76,X74) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_25])])])])])]) ).
cnf(c_0_59,negated_conjecture,
( root_occ(X1,X2)
| ~ root_occ(X1,esk1_0)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
inference(spm,[status(thm)],[c_0_33,c_0_48]) ).
cnf(c_0_60,plain,
( esk10_2(X1,X2) = esk2_1(X2)
| atomic(X1)
| ~ occurrence_of(X2,tptp0)
| ~ occurrence_of(X2,X3)
| ~ occurrence_of(X2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_61,plain,
( next_subocc(X1,X2,X3)
| ~ leaf_occ(esk5_3(X1,X2,X3),X4)
| ~ min_precedes(X1,X2,X3)
| ~ occurrence_of(X4,X3) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_62,plain,
( root_occ(X1,X2)
| leaf_occ(X1,X2)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_63,plain,
( next_subocc(X1,X2,X3)
| arboreal(esk5_3(X1,X2,X3))
| ~ min_precedes(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_54,c_0_52]) ).
cnf(c_0_64,plain,
( next_subocc(X1,X2,X3)
| ~ root_occ(esk5_3(X1,X2,X3),X4)
| ~ min_precedes(X1,X2,X3)
| ~ occurrence_of(X4,X3) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_65,plain,
( subactivity_occurrence(X1,X2)
| ~ subactivity_occurrence(X3,X2)
| ~ occurrence_of(X2,X4)
| ~ min_precedes(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_66,plain,
( X1 = esk6_2(X2,X3)
| ~ root_occ(X2,X3)
| ~ occurrence_of(X3,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_36]) ).
cnf(c_0_67,plain,
( occurrence_of(esk7_3(X3,X1,X2),X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_68,plain,
( X1 = esk2_1(X2)
| ~ root_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ occurrence_of(X2,X3) ),
inference(spm,[status(thm)],[c_0_37,c_0_50]) ).
cnf(c_0_69,negated_conjecture,
( root_occ(esk2_1(esk1_0),X1)
| ~ subactivity_occurrence(esk2_1(esk1_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_50]),c_0_31])]) ).
cnf(c_0_70,negated_conjecture,
( esk10_2(X1,esk1_0) = esk2_1(esk1_0)
| atomic(X1)
| ~ occurrence_of(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_31]),c_0_31])]) ).
fof(c_0_71,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_51]) ).
cnf(c_0_72,plain,
( next_subocc(X1,X2,X3)
| ~ subactivity_occurrence(esk5_3(X1,X2,X3),X4)
| ~ min_precedes(X1,X2,X3)
| ~ occurrence_of(X4,tptp0)
| ~ occurrence_of(X4,X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]),c_0_64]) ).
cnf(c_0_73,plain,
( subactivity_occurrence(esk5_3(X1,X2,X3),X4)
| next_subocc(X1,X2,X3)
| ~ subactivity_occurrence(X2,X4)
| ~ min_precedes(X1,X2,X3)
| ~ occurrence_of(X4,X3) ),
inference(spm,[status(thm)],[c_0_65,c_0_52]) ).
fof(c_0_74,plain,
! [X172,X173] :
( ( occurrence_of(esk4_1(X172),tptp1)
| ~ occurrence_of(X173,tptp0)
| ~ subactivity_occurrence(X172,X173)
| ~ arboreal(X172)
| leaf_occ(X172,X173) )
& ( next_subocc(X172,esk4_1(X172),tptp0)
| ~ occurrence_of(X173,tptp0)
| ~ subactivity_occurrence(X172,X173)
| ~ arboreal(X172)
| leaf_occ(X172,X173) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[sos_64])])])])])])])]) ).
fof(c_0_75,plain,
! [X77,X78] :
( ( occurrence_of(esk9_2(X77,X78),X77)
| ~ root(X78,X77)
| atomic(X77) )
& ( subactivity_occurrence(X78,esk9_2(X77,X78))
| ~ root(X78,X77)
| atomic(X77) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[sos_26])])])])])])]) ).
cnf(c_0_76,plain,
( esk6_2(X1,esk7_3(X2,X3,X4)) = X2
| ~ root_occ(X1,esk7_3(X2,X3,X4))
| ~ min_precedes(X3,X4,X2) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_77,negated_conjecture,
( esk2_1(esk1_0) = esk2_1(X1)
| ~ subactivity_occurrence(esk2_1(esk1_0),X1)
| ~ occurrence_of(X1,tptp0)
| ~ occurrence_of(X1,X2) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_78,plain,
( subactivity_occurrence(X1,esk7_3(X3,X1,X2))
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
fof(c_0_79,plain,
! [X135,X136,X137,X138] :
( ~ occurrence_of(X135,X138)
| ~ leaf_occ(X136,X135)
| ~ root_occ(X137,X135)
| X136 = X137
| min_precedes(X137,X136,X138) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_41])]) ).
cnf(c_0_80,negated_conjecture,
( subactivity_occurrence(esk2_1(esk1_0),esk1_0)
| atomic(X1)
| ~ occurrence_of(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_70]) ).
cnf(c_0_81,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_82,plain,
( next_subocc(X1,X2,X3)
| ~ subactivity_occurrence(X2,X4)
| ~ min_precedes(X1,X2,X3)
| ~ occurrence_of(X4,tptp0)
| ~ occurrence_of(X4,X3) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_83,plain,
( subactivity_occurrence(X2,esk7_3(X3,X1,X2))
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_84,plain,
( min_precedes(X1,X2,X3)
| ~ next_subocc(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_85,plain,
( next_subocc(esk2_1(X1),esk3_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_86,plain,
( leaf_occ(X1,X2)
| next_subocc(X1,esk4_1(X1),tptp0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_87,plain,
( atomic(X1)
| occurrence_of(esk9_2(X1,X2),X1)
| ~ root(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
fof(c_0_88,plain,
! [X19,X20] :
( ( ~ arboreal(X19)
| atomic(X20)
| ~ occurrence_of(X19,X20) )
& ( ~ atomic(X20)
| arboreal(X19)
| ~ occurrence_of(X19,X20) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])])]) ).
cnf(c_0_89,plain,
( root(X1,X2)
| ~ root_occ(X1,esk7_3(X2,X3,X4))
| ~ min_precedes(X3,X4,X2) ),
inference(spm,[status(thm)],[c_0_39,c_0_76]) ).
cnf(c_0_90,negated_conjecture,
( esk2_1(esk7_3(X1,esk2_1(esk1_0),X2)) = esk2_1(esk1_0)
| ~ min_precedes(esk2_1(esk1_0),X2,X1)
| ~ occurrence_of(esk7_3(X1,esk2_1(esk1_0),X2),tptp0)
| ~ occurrence_of(esk7_3(X1,esk2_1(esk1_0),X2),X3) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_91,plain,
( min_precedes(X1,X2,X3)
| X2 = X1
| ~ root_occ(X1,X4)
| ~ leaf_occ(X2,X4)
| ~ occurrence_of(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_92,plain,
( leaf_occ(esk3_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_93,negated_conjecture,
( root_occ(esk2_1(esk1_0),X1)
| atomic(X2)
| ~ subactivity_occurrence(esk2_1(esk1_0),X1)
| ~ occurrence_of(esk1_0,X2)
| ~ occurrence_of(X1,X2) ),
inference(spm,[status(thm)],[c_0_38,c_0_70]) ).
cnf(c_0_94,negated_conjecture,
subactivity_occurrence(esk2_1(esk1_0),esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_31]),c_0_81]) ).
cnf(c_0_95,plain,
( next_subocc(X1,X2,X3)
| ~ min_precedes(X1,X2,X3)
| ~ min_precedes(X4,X2,X5)
| ~ occurrence_of(esk7_3(X5,X4,X2),tptp0)
| ~ occurrence_of(esk7_3(X5,X4,X2),X3) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_96,plain,
( min_precedes(esk2_1(X1),esk3_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_97,plain,
( leaf_occ(X1,esk9_2(tptp0,X2))
| next_subocc(X1,esk4_1(X1),tptp0)
| ~ subactivity_occurrence(X1,esk9_2(tptp0,X2))
| ~ root(X2,tptp0)
| ~ arboreal(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_81]) ).
cnf(c_0_98,plain,
( atomic(X1)
| subactivity_occurrence(X2,esk9_2(X1,X2))
| ~ root(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_99,plain,
( arboreal(X1)
| ~ occurrence_of(X1,X2)
| ~ atomic(X2) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_100,plain,
( occurrence_of(esk2_1(X1),tptp4)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_101,plain,
atomic(tptp4),
inference(split_conjunct,[status(thm)],[sos_52]) ).
cnf(c_0_102,plain,
( root(esk2_1(esk7_3(X1,X2,X3)),X1)
| ~ min_precedes(X2,X3,X1)
| ~ occurrence_of(esk7_3(X1,X2,X3),tptp0) ),
inference(spm,[status(thm)],[c_0_89,c_0_50]) ).
cnf(c_0_103,negated_conjecture,
( esk2_1(esk7_3(X1,esk2_1(esk1_0),X2)) = esk2_1(esk1_0)
| ~ min_precedes(esk2_1(esk1_0),X2,X1)
| ~ occurrence_of(esk7_3(X1,esk2_1(esk1_0),X2),tptp0) ),
inference(spm,[status(thm)],[c_0_90,c_0_67]) ).
cnf(c_0_104,plain,
( X1 = esk3_1(X2)
| min_precedes(X1,esk3_1(X2),X3)
| ~ root_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ occurrence_of(X2,X3) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_105,negated_conjecture,
root_occ(esk2_1(esk1_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_31]),c_0_94]),c_0_31])]),c_0_81]) ).
fof(c_0_106,plain,
! [X131,X132,X133,X134] :
( ~ next_subocc(X132,X131,X134)
| ~ next_subocc(X133,X131,X134)
| X132 = X133 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_40])])])]) ).
cnf(c_0_107,plain,
( next_subocc(X1,X2,X3)
| ~ min_precedes(X4,X2,tptp0)
| ~ min_precedes(X1,X2,X3)
| ~ occurrence_of(esk7_3(tptp0,X4,X2),X3) ),
inference(spm,[status(thm)],[c_0_95,c_0_67]) ).
cnf(c_0_108,plain,
( ~ leaf_occ(esk2_1(X1),X2)
| ~ occurrence_of(X2,tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_51,c_0_96]) ).
cnf(c_0_109,plain,
( leaf_occ(X1,esk9_2(tptp0,X1))
| next_subocc(X1,esk4_1(X1),tptp0)
| ~ root(X1,tptp0)
| ~ arboreal(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_81]) ).
cnf(c_0_110,plain,
( arboreal(esk2_1(X1))
| ~ occurrence_of(X1,tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101])]) ).
cnf(c_0_111,negated_conjecture,
( esk2_1(esk9_2(X1,esk2_1(esk1_0))) = esk2_1(esk1_0)
| atomic(X1)
| ~ root(esk2_1(esk1_0),X1)
| ~ occurrence_of(esk9_2(X1,esk2_1(esk1_0)),tptp0)
| ~ occurrence_of(esk9_2(X1,esk2_1(esk1_0)),X2) ),
inference(spm,[status(thm)],[c_0_77,c_0_98]) ).
cnf(c_0_112,negated_conjecture,
( root(esk2_1(esk1_0),X1)
| ~ min_precedes(esk2_1(esk1_0),X2,X1)
| ~ occurrence_of(esk7_3(X1,esk2_1(esk1_0),X2),tptp0) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_113,negated_conjecture,
( esk3_1(esk1_0) = esk2_1(esk1_0)
| min_precedes(esk2_1(esk1_0),esk3_1(esk1_0),X1)
| ~ occurrence_of(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_31])]) ).
cnf(c_0_114,plain,
( leaf_occ(X1,X2)
| occurrence_of(esk4_1(X1),tptp1)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_115,plain,
( subactivity_occurrence(X1,X2)
| ~ root_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_116,plain,
! [X143,X144,X145,X146] :
( ~ occurrence_of(X144,X143)
| ~ subactivity_occurrence(X145,X144)
| ~ leaf_occ(X146,X144)
| ~ arboreal(X145)
| min_precedes(X145,X146,X143)
| X146 = X145 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[sos_43])])]) ).
cnf(c_0_117,plain,
( X1 = X2
| ~ next_subocc(X2,X3,X4)
| ~ next_subocc(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_118,plain,
( next_subocc(X1,X2,tptp0)
| ~ min_precedes(X3,X2,tptp0)
| ~ min_precedes(X1,X2,tptp0) ),
inference(spm,[status(thm)],[c_0_107,c_0_67]) ).
cnf(c_0_119,negated_conjecture,
( esk2_1(esk7_3(X1,X2,esk2_1(esk1_0))) = esk2_1(esk1_0)
| ~ min_precedes(X2,esk2_1(esk1_0),X1)
| ~ occurrence_of(esk7_3(X1,X2,esk2_1(esk1_0)),tptp0)
| ~ occurrence_of(esk7_3(X1,X2,esk2_1(esk1_0)),X3) ),
inference(spm,[status(thm)],[c_0_77,c_0_83]) ).
fof(c_0_120,plain,
! [X39,X40,X41] :
( ~ min_precedes(X39,X40,X41)
| ~ root(X40,X41) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[sos_14])])]) ).
cnf(c_0_121,plain,
( next_subocc(esk2_1(X1),esk4_1(esk2_1(X1)),tptp0)
| ~ root(esk2_1(X1),tptp0)
| ~ occurrence_of(esk9_2(tptp0,esk2_1(X1)),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110]) ).
cnf(c_0_122,negated_conjecture,
( esk2_1(esk9_2(X1,esk2_1(esk1_0))) = esk2_1(esk1_0)
| atomic(X1)
| ~ root(esk2_1(esk1_0),X1)
| ~ occurrence_of(esk9_2(X1,esk2_1(esk1_0)),tptp0) ),
inference(spm,[status(thm)],[c_0_111,c_0_87]) ).
cnf(c_0_123,negated_conjecture,
( root(esk2_1(esk1_0),tptp0)
| ~ min_precedes(esk2_1(esk1_0),X1,tptp0) ),
inference(spm,[status(thm)],[c_0_112,c_0_67]) ).
cnf(c_0_124,plain,
( occurrence_of(esk3_1(X1),tptp3)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_125,plain,
atomic(tptp3),
inference(split_conjunct,[status(thm)],[sos_53]) ).
cnf(c_0_126,negated_conjecture,
( esk3_1(esk1_0) = esk2_1(esk1_0)
| arboreal(esk2_1(esk1_0))
| ~ occurrence_of(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_113]) ).
cnf(c_0_127,plain,
( leaf_occ(X1,esk9_2(tptp0,X2))
| occurrence_of(esk4_1(X1),tptp1)
| ~ subactivity_occurrence(X1,esk9_2(tptp0,X2))
| ~ root(X2,tptp0)
| ~ arboreal(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_87]),c_0_81]) ).
cnf(c_0_128,plain,
( subactivity_occurrence(esk2_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_115,c_0_50]) ).
cnf(c_0_129,plain,
( X1 = X2
| min_precedes(X2,X1,X3)
| ~ arboreal(X2)
| ~ leaf_occ(X1,X4)
| ~ subactivity_occurrence(X2,X4)
| ~ occurrence_of(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_130,plain,
( X1 = esk2_1(X2)
| ~ next_subocc(X1,esk3_1(X2),tptp0)
| ~ occurrence_of(X2,tptp0) ),
inference(spm,[status(thm)],[c_0_117,c_0_85]) ).
cnf(c_0_131,plain,
( next_subocc(X1,esk3_1(X2),tptp0)
| ~ min_precedes(X1,esk3_1(X2),tptp0)
| ~ occurrence_of(X2,tptp0) ),
inference(spm,[status(thm)],[c_0_118,c_0_96]) ).
cnf(c_0_132,negated_conjecture,
( esk2_1(esk7_3(X1,X2,esk2_1(esk1_0))) = esk2_1(esk1_0)
| ~ min_precedes(X2,esk2_1(esk1_0),X1)
| ~ occurrence_of(esk7_3(X1,X2,esk2_1(esk1_0)),tptp0) ),
inference(spm,[status(thm)],[c_0_119,c_0_67]) ).
cnf(c_0_133,plain,
( ~ root(X1,X2)
| ~ min_precedes(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_134,plain,
( next_subocc(esk2_1(X1),esk4_1(esk2_1(X1)),tptp0)
| ~ root(esk2_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_87]),c_0_81]) ).
cnf(c_0_135,negated_conjecture,
( atomic(X1)
| ~ leaf_occ(esk2_1(esk1_0),X2)
| ~ root(esk2_1(esk1_0),X1)
| ~ occurrence_of(esk9_2(X1,esk2_1(esk1_0)),tptp0)
| ~ occurrence_of(X2,tptp0) ),
inference(spm,[status(thm)],[c_0_108,c_0_122]) ).
cnf(c_0_136,negated_conjecture,
root(esk2_1(esk1_0),tptp0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_96]),c_0_31])]) ).
cnf(c_0_137,plain,
( arboreal(esk3_1(X1))
| ~ occurrence_of(X1,tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_124]),c_0_125])]) ).
cnf(c_0_138,negated_conjecture,
( esk3_1(esk1_0) = esk2_1(esk1_0)
| arboreal(esk2_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_126,c_0_31]) ).
cnf(c_0_139,plain,
( leaf_occ(esk2_1(esk9_2(tptp0,X1)),esk9_2(tptp0,X1))
| occurrence_of(esk4_1(esk2_1(esk9_2(tptp0,X1))),tptp1)
| ~ root(X1,tptp0)
| ~ occurrence_of(esk9_2(tptp0,X1),tptp0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_110]) ).
cnf(c_0_140,plain,
( root_occ(X1,X2)
| ~ root_occ(X1,X3)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,esk6_2(X1,X3)) ),
inference(spm,[status(thm)],[c_0_33,c_0_39]) ).
cnf(c_0_141,plain,
( ~ next_subocc(X1,X2,X3)
| ~ min_precedes(X4,X2,X3)
| ~ min_precedes(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_142,plain,
( esk3_1(X1) = X2
| min_precedes(X2,esk3_1(X1),X3)
| ~ subactivity_occurrence(X2,X1)
| ~ arboreal(X2)
| ~ occurrence_of(X1,tptp0)
| ~ occurrence_of(X1,X3) ),
inference(spm,[status(thm)],[c_0_129,c_0_92]) ).
cnf(c_0_143,plain,
( X1 = esk2_1(X2)
| ~ min_precedes(X1,esk3_1(X2),tptp0)
| ~ occurrence_of(X2,tptp0) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_144,negated_conjecture,
( esk3_1(X1) = esk2_1(esk1_0)
| min_precedes(esk2_1(esk1_0),esk3_1(X1),X2)
| ~ subactivity_occurrence(esk2_1(esk1_0),X1)
| ~ occurrence_of(X1,tptp0)
| ~ occurrence_of(X1,X2) ),
inference(spm,[status(thm)],[c_0_104,c_0_69]) ).
cnf(c_0_145,negated_conjecture,
( ~ min_precedes(X1,esk2_1(esk1_0),X2)
| ~ occurrence_of(esk7_3(X2,X1,esk2_1(esk1_0)),tptp0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_132]),c_0_133]) ).
cnf(c_0_146,plain,
( min_precedes(esk2_1(X1),esk4_1(esk2_1(X1)),tptp0)
| ~ root(esk2_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_84,c_0_134]) ).
cnf(c_0_147,negated_conjecture,
( ~ leaf_occ(esk2_1(esk1_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_87]),c_0_136])]),c_0_81]) ).
cnf(c_0_148,negated_conjecture,
arboreal(esk2_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_31])]) ).
cnf(c_0_149,negated_conjecture,
( leaf_occ(esk2_1(esk1_0),esk9_2(tptp0,esk2_1(esk1_0)))
| occurrence_of(esk4_1(esk2_1(esk1_0)),tptp1)
| ~ occurrence_of(esk9_2(tptp0,esk2_1(esk1_0)),tptp0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_122]),c_0_136])]),c_0_81]) ).
cnf(c_0_150,plain,
( root_occ(X1,esk9_2(esk6_2(X1,X2),X3))
| atomic(esk6_2(X1,X2))
| ~ root_occ(X1,X2)
| ~ subactivity_occurrence(X1,esk9_2(esk6_2(X1,X2),X3))
| ~ root(X3,esk6_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_140,c_0_87]) ).
cnf(c_0_151,plain,
( ~ min_precedes(X1,esk3_1(X2),tptp0)
| ~ min_precedes(esk2_1(X2),X1,tptp0)
| ~ occurrence_of(X2,tptp0) ),
inference(spm,[status(thm)],[c_0_141,c_0_85]) ).
cnf(c_0_152,plain,
( esk3_1(esk7_3(X1,X2,X3)) = X3
| min_precedes(X3,esk3_1(esk7_3(X1,X2,X3)),X4)
| ~ min_precedes(X2,X3,X1)
| ~ arboreal(X3)
| ~ occurrence_of(esk7_3(X1,X2,X3),tptp0)
| ~ occurrence_of(esk7_3(X1,X2,X3),X4) ),
inference(spm,[status(thm)],[c_0_142,c_0_83]) ).
cnf(c_0_153,negated_conjecture,
( esk3_1(X1) = esk2_1(esk1_0)
| esk2_1(esk1_0) = esk2_1(X1)
| ~ subactivity_occurrence(esk2_1(esk1_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_154,negated_conjecture,
~ min_precedes(X1,esk2_1(esk1_0),tptp0),
inference(spm,[status(thm)],[c_0_145,c_0_67]) ).
cnf(c_0_155,plain,
( subactivity_occurrence(esk2_1(X1),X2)
| ~ subactivity_occurrence(esk4_1(esk2_1(X1)),X2)
| ~ root(esk2_1(X1),tptp0)
| ~ occurrence_of(X2,tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_65,c_0_146]) ).
cnf(c_0_156,negated_conjecture,
( next_subocc(esk2_1(esk1_0),esk4_1(esk2_1(esk1_0)),tptp0)
| ~ occurrence_of(esk9_2(tptp0,esk2_1(esk1_0)),tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_109]),c_0_136]),c_0_148])]) ).
cnf(c_0_157,negated_conjecture,
( occurrence_of(esk4_1(esk2_1(esk1_0)),tptp1)
| ~ occurrence_of(esk9_2(tptp0,esk2_1(esk1_0)),tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_149]),c_0_31])]) ).
cnf(c_0_158,negated_conjecture,
( root_occ(X1,esk9_2(tptp0,X2))
| ~ root_occ(X1,esk1_0)
| ~ subactivity_occurrence(X1,esk9_2(tptp0,X2))
| ~ root(X2,tptp0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_40]),c_0_81]) ).
cnf(c_0_159,plain,
( X1 = tptp3
| ~ occurrence_of(esk3_1(X2),X1)
| ~ occurrence_of(X2,tptp0) ),
inference(spm,[status(thm)],[c_0_30,c_0_124]) ).
cnf(c_0_160,plain,
( esk3_1(esk7_3(X1,X2,X3)) = X3
| ~ min_precedes(esk2_1(esk7_3(X1,X2,X3)),X3,tptp0)
| ~ min_precedes(X2,X3,X1)
| ~ arboreal(X3)
| ~ occurrence_of(esk7_3(X1,X2,X3),tptp0) ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_161,negated_conjecture,
( esk2_1(esk1_0) = esk2_1(X1)
| ~ subactivity_occurrence(esk2_1(esk1_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_153]),c_0_154]) ).
cnf(c_0_162,plain,
( subactivity_occurrence(esk2_1(X1),esk7_3(X2,X3,esk4_1(esk2_1(X1))))
| ~ root(esk2_1(X1),tptp0)
| ~ min_precedes(X3,esk4_1(esk2_1(X1)),X2)
| ~ occurrence_of(esk7_3(X2,X3,esk4_1(esk2_1(X1))),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_155,c_0_83]) ).
cnf(c_0_163,negated_conjecture,
next_subocc(esk2_1(esk1_0),esk4_1(esk2_1(esk1_0)),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_87]),c_0_136])]),c_0_81]) ).
cnf(c_0_164,negated_conjecture,
occurrence_of(esk4_1(esk2_1(esk1_0)),tptp1),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_87]),c_0_136])]),c_0_81]) ).
cnf(c_0_165,plain,
atomic(tptp1),
inference(split_conjunct,[status(thm)],[sos_55]) ).
cnf(c_0_166,plain,
( leaf_occ(X1,esk9_2(tptp0,X1))
| occurrence_of(esk4_1(X1),tptp1)
| ~ root(X1,tptp0)
| ~ arboreal(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_98]),c_0_81]) ).
cnf(c_0_167,negated_conjecture,
( X1 = esk2_1(esk9_2(tptp0,X2))
| ~ root_occ(X1,esk1_0)
| ~ subactivity_occurrence(X1,esk9_2(tptp0,X2))
| ~ root(X2,tptp0)
| ~ occurrence_of(esk9_2(tptp0,X2),tptp0)
| ~ occurrence_of(esk9_2(tptp0,X2),X3) ),
inference(spm,[status(thm)],[c_0_68,c_0_158]) ).
cnf(c_0_168,plain,
( X1 = tptp3
| ~ min_precedes(esk2_1(esk7_3(X2,X3,X4)),X4,tptp0)
| ~ min_precedes(X3,X4,X2)
| ~ arboreal(X4)
| ~ occurrence_of(esk7_3(X2,X3,X4),tptp0)
| ~ occurrence_of(X4,X1) ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_169,negated_conjecture,
( esk2_1(esk7_3(X1,X2,esk4_1(esk2_1(esk1_0)))) = esk2_1(esk1_0)
| ~ min_precedes(X2,esk4_1(esk2_1(esk1_0)),X1)
| ~ occurrence_of(esk7_3(X1,X2,esk4_1(esk2_1(esk1_0))),tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_136]),c_0_31])]) ).
cnf(c_0_170,negated_conjecture,
min_precedes(esk2_1(esk1_0),esk4_1(esk2_1(esk1_0)),tptp0),
inference(spm,[status(thm)],[c_0_84,c_0_163]) ).
cnf(c_0_171,negated_conjecture,
arboreal(esk4_1(esk2_1(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_164]),c_0_165])]) ).
cnf(c_0_172,plain,
( occurrence_of(esk4_1(esk2_1(X1)),tptp1)
| ~ root(esk2_1(X1),tptp0)
| ~ occurrence_of(esk9_2(tptp0,esk2_1(X1)),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_166]),c_0_110]) ).
cnf(c_0_173,negated_conjecture,
( esk2_1(esk9_2(tptp0,X1)) = X1
| ~ root_occ(X1,esk1_0)
| ~ occurrence_of(esk9_2(tptp0,X1),tptp0)
| ~ occurrence_of(esk9_2(tptp0,X1),X2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_98]),c_0_81]),c_0_48]) ).
cnf(c_0_174,negated_conjecture,
( X1 = tptp3
| ~ min_precedes(X2,esk4_1(esk2_1(esk1_0)),X3)
| ~ occurrence_of(esk7_3(X3,X2,esk4_1(esk2_1(esk1_0))),tptp0)
| ~ occurrence_of(esk4_1(esk2_1(esk1_0)),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_170]),c_0_171])]) ).
cnf(c_0_175,plain,
( occurrence_of(esk4_1(esk2_1(X1)),tptp1)
| ~ root(esk2_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_87]),c_0_81]) ).
cnf(c_0_176,negated_conjecture,
( esk2_1(esk9_2(tptp0,X1)) = X1
| ~ root_occ(X1,esk1_0)
| ~ occurrence_of(esk9_2(tptp0,X1),tptp0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_87]),c_0_81]),c_0_48]) ).
cnf(c_0_177,negated_conjecture,
( X1 = tptp3
| ~ min_precedes(X2,esk4_1(esk2_1(esk1_0)),tptp0)
| ~ occurrence_of(esk4_1(esk2_1(esk1_0)),X1) ),
inference(spm,[status(thm)],[c_0_174,c_0_67]) ).
cnf(c_0_178,negated_conjecture,
( occurrence_of(esk4_1(X1),tptp1)
| ~ root_occ(X1,esk1_0)
| ~ occurrence_of(esk9_2(tptp0,X1),tptp0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_48]) ).
cnf(c_0_179,negated_conjecture,
( X1 = tptp3
| ~ occurrence_of(esk4_1(esk2_1(esk1_0)),X1) ),
inference(spm,[status(thm)],[c_0_177,c_0_170]) ).
cnf(c_0_180,negated_conjecture,
( occurrence_of(esk4_1(X1),tptp1)
| ~ root_occ(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_87]),c_0_81]),c_0_48]) ).
cnf(c_0_181,plain,
tptp1 != tptp3,
inference(split_conjunct,[status(thm)],[sos_59]) ).
cnf(c_0_182,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_105])]),c_0_181]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PRO004+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 00:59:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.29/10.46 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.29/10.46 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.29/10.46 # Preprocessing time : 0.019 s
% 0.29/10.46
% 0.29/10.46 # Proof found!
% 0.29/10.46 # SZS status Theorem
% 0.29/10.46 # SZS output start CNFRefutation
% See solution above
% 0.29/10.46 # Proof object total steps : 183
% 0.29/10.46 # Proof object clause steps : 136
% 0.29/10.46 # Proof object formula steps : 47
% 0.29/10.46 # Proof object conjectures : 53
% 0.29/10.46 # Proof object clause conjectures : 50
% 0.29/10.46 # Proof object formula conjectures : 3
% 0.29/10.46 # Proof object initial clauses used : 40
% 0.29/10.46 # Proof object initial formulas used : 25
% 0.29/10.46 # Proof object generating inferences : 96
% 0.29/10.46 # Proof object simplifying inferences : 68
% 0.29/10.46 # Training examples: 0 positive, 0 negative
% 0.29/10.46 # Parsed axioms : 66
% 0.29/10.46 # Removed by relevancy pruning/SinE : 24
% 0.29/10.46 # Initial clauses : 60
% 0.29/10.46 # Removed in clause preprocessing : 0
% 0.29/10.46 # Initial clauses in saturation : 60
% 0.29/10.46 # Processed clauses : 25094
% 0.29/10.46 # ...of these trivial : 43
% 0.29/10.46 # ...subsumed : 19577
% 0.29/10.46 # ...remaining for further processing : 5474
% 0.29/10.46 # Other redundant clauses eliminated : 0
% 0.29/10.46 # Clauses deleted for lack of memory : 56035
% 0.29/10.46 # Backward-subsumed : 1311
% 0.29/10.46 # Backward-rewritten : 213
% 0.29/10.46 # Generated clauses : 213917
% 0.29/10.46 # ...of the previous two non-trivial : 207674
% 0.29/10.46 # Contextual simplify-reflections : 33062
% 0.29/10.46 # Paramodulations : 213908
% 0.29/10.46 # Factorizations : 9
% 0.29/10.46 # Equation resolutions : 0
% 0.29/10.46 # Current number of processed clauses : 3950
% 0.29/10.46 # Positive orientable unit clauses : 21
% 0.29/10.46 # Positive unorientable unit clauses: 0
% 0.29/10.46 # Negative unit clauses : 24
% 0.29/10.46 # Non-unit-clauses : 3905
% 0.29/10.46 # Current number of unprocessed clauses: 89284
% 0.29/10.46 # ...number of literals in the above : 728425
% 0.29/10.46 # Current number of archived formulas : 0
% 0.29/10.46 # Current number of archived clauses : 1524
% 0.29/10.46 # Clause-clause subsumption calls (NU) : 7297751
% 0.29/10.46 # Rec. Clause-clause subsumption calls : 1021997
% 0.29/10.47 # Non-unit clause-clause subsumptions : 47784
% 0.29/10.47 # Unit Clause-clause subsumption calls : 10110
% 0.29/10.47 # Rewrite failures with RHS unbound : 0
% 0.29/10.47 # BW rewrite match attempts : 23
% 0.29/10.47 # BW rewrite match successes : 16
% 0.29/10.47 # Condensation attempts : 0
% 0.29/10.47 # Condensation successes : 0
% 0.29/10.47 # Termbank termtop insertions : 6395057
% 0.29/10.47
% 0.29/10.47 # -------------------------------------------------
% 0.29/10.47 # User time : 9.451 s
% 0.29/10.47 # System time : 0.094 s
% 0.29/10.47 # Total time : 9.545 s
% 0.29/10.47 # Maximum resident set size: 130792 pages
% 0.29/23.40 eprover: CPU time limit exceeded, terminating
% 0.29/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.42 eprover: No such file or directory
% 0.29/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.43 eprover: No such file or directory
% 0.29/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.43 eprover: No such file or directory
% 0.29/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.44 eprover: No such file or directory
% 0.29/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.44 eprover: No such file or directory
% 0.29/23.45 eprover: CPU time limit exceeded, terminating
% 0.29/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.45 eprover: No such file or directory
% 0.29/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.45 eprover: No such file or directory
% 0.29/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.46 eprover: No such file or directory
% 0.29/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.46 eprover: No such file or directory
% 0.29/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.46 eprover: No such file or directory
% 0.29/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.47 eprover: No such file or directory
% 0.29/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.47 eprover: No such file or directory
% 0.29/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.47 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.50 eprover: No such file or directory
% 0.29/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.50 eprover: No such file or directory
% 0.29/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.51 eprover: No such file or directory
%------------------------------------------------------------------------------