TSTP Solution File: PRO017+4 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : PRO017+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.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 17:45:06 EDT 2022
% Result : Theorem 0.24s 1.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 12
% Syntax : Number of formulae : 91 ( 11 unt; 0 def)
% Number of atoms : 382 ( 33 equ)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 472 ( 181 ~; 220 |; 58 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 171 ( 12 sgn 59 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
! [X108,X109] :
( ( occurrence_of(X109,tptp0)
& subactivity_occurrence(X108,X109)
& arboreal(X108)
& ~ leaf_occ(X108,X109) )
=> ? [X110,X111] :
( occurrence_of(X110,tptp3)
& next_subocc(X108,X110,tptp0)
& ( occurrence_of(X111,tptp2)
| occurrence_of(X111,tptp1) )
& min_precedes(X110,X111,tptp0)
& leaf(X111,tptp0) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).
fof(sos_08,axiom,
! [X29,X30,X31] :
( ( occurrence_of(X29,X30)
& occurrence_of(X29,X31) )
=> X30 = X31 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_08) ).
fof(sos_32,axiom,
! [X102,X103] :
( ( occurrence_of(X103,tptp0)
& subactivity_occurrence(X102,X103)
& arboreal(X102)
& ~ leaf_occ(X102,X103) )
=> ? [X104,X105,X106] :
( occurrence_of(X104,tptp3)
& next_subocc(X102,X104,tptp0)
& occurrence_of(X105,tptp4)
& min_precedes(X104,X105,tptp0)
& ( occurrence_of(X106,tptp2)
| occurrence_of(X106,tptp1) )
& min_precedes(X105,X106,tptp0)
& ! [X107] :
( min_precedes(X104,X107,tptp0)
=> ( X107 = X105
| X107 = X106 ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_32) ).
fof(sos_18,axiom,
! [X56,X57] :
( leaf_occ(X56,X57)
<=> ? [X58] :
( occurrence_of(X57,X58)
& subactivity_occurrence(X56,X57)
& leaf(X56,X58) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_18) ).
fof(sos_26,axiom,
! [X79,X80,X81] :
( next_subocc(X79,X80,X81)
<=> ( min_precedes(X79,X80,X81)
& ~ ? [X82] :
( min_precedes(X79,X82,X81)
& min_precedes(X82,X80,X81) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_26) ).
fof(sos_15,axiom,
! [X48,X49] :
( leaf(X48,X49)
<=> ( ( root(X48,X49)
| ? [X50] : min_precedes(X50,X48,X49) )
& ~ ? [X51] : min_precedes(X48,X51,X49) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_15) ).
fof(sos_12,axiom,
! [X42] :
( activity_occurrence(X42)
=> ? [X43] :
( activity(X43)
& occurrence_of(X42,X43) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_12) ).
fof(sos_03,axiom,
! [X13,X14] :
( occurrence_of(X14,X13)
=> ( activity(X13)
& activity_occurrence(X14) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_03) ).
fof(sos_06,axiom,
! [X22,X23,X24] :
( min_precedes(X23,X24,X22)
=> ? [X25] :
( occurrence_of(X25,X22)
& subactivity_occurrence(X23,X25)
& subactivity_occurrence(X24,X25) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_06) ).
fof(sos_16,axiom,
! [X52,X53] :
( occurrence_of(X52,X53)
=> ( arboreal(X52)
<=> atomic(X53) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_16) ).
fof(sos_38,axiom,
atomic(tptp3),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_38) ).
fof(sos_39,axiom,
tptp4 != tptp3,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_39) ).
fof(c_0_12,negated_conjecture,
~ ! [X108,X109] :
( ( occurrence_of(X109,tptp0)
& subactivity_occurrence(X108,X109)
& arboreal(X108)
& ~ leaf_occ(X108,X109) )
=> ? [X110,X111] :
( occurrence_of(X110,tptp3)
& next_subocc(X108,X110,tptp0)
& ( occurrence_of(X111,tptp2)
| occurrence_of(X111,tptp1) )
& min_precedes(X110,X111,tptp0)
& leaf(X111,tptp0) ) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_13,plain,
! [X32,X33,X34] :
( ~ occurrence_of(X32,X33)
| ~ occurrence_of(X32,X34)
| X33 = X34 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_08])]) ).
fof(c_0_14,negated_conjecture,
! [X114,X115] :
( occurrence_of(esk2_0,tptp0)
& subactivity_occurrence(esk1_0,esk2_0)
& arboreal(esk1_0)
& ~ leaf_occ(esk1_0,esk2_0)
& ( ~ occurrence_of(X115,tptp2)
| ~ occurrence_of(X114,tptp3)
| ~ next_subocc(esk1_0,X114,tptp0)
| ~ min_precedes(X114,X115,tptp0)
| ~ leaf(X115,tptp0) )
& ( ~ occurrence_of(X115,tptp1)
| ~ occurrence_of(X114,tptp3)
| ~ next_subocc(esk1_0,X114,tptp0)
| ~ min_precedes(X114,X115,tptp0)
| ~ leaf(X115,tptp0) ) ),
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)],[c_0_12])])])])])])])]) ).
fof(c_0_15,plain,
! [X108,X109,X113] :
( ( occurrence_of(esk7_1(X108),tptp3)
| ~ occurrence_of(X109,tptp0)
| ~ subactivity_occurrence(X108,X109)
| ~ arboreal(X108)
| leaf_occ(X108,X109) )
& ( next_subocc(X108,esk7_1(X108),tptp0)
| ~ occurrence_of(X109,tptp0)
| ~ subactivity_occurrence(X108,X109)
| ~ arboreal(X108)
| leaf_occ(X108,X109) )
& ( occurrence_of(esk8_1(X108),tptp4)
| ~ occurrence_of(X109,tptp0)
| ~ subactivity_occurrence(X108,X109)
| ~ arboreal(X108)
| leaf_occ(X108,X109) )
& ( min_precedes(esk7_1(X108),esk8_1(X108),tptp0)
| ~ occurrence_of(X109,tptp0)
| ~ subactivity_occurrence(X108,X109)
| ~ arboreal(X108)
| leaf_occ(X108,X109) )
& ( occurrence_of(esk9_1(X108),tptp2)
| occurrence_of(esk9_1(X108),tptp1)
| ~ occurrence_of(X109,tptp0)
| ~ subactivity_occurrence(X108,X109)
| ~ arboreal(X108)
| leaf_occ(X108,X109) )
& ( min_precedes(esk8_1(X108),esk9_1(X108),tptp0)
| ~ occurrence_of(X109,tptp0)
| ~ subactivity_occurrence(X108,X109)
| ~ arboreal(X108)
| leaf_occ(X108,X109) )
& ( ~ min_precedes(esk7_1(X108),X113,tptp0)
| X113 = esk8_1(X108)
| X113 = esk9_1(X108)
| ~ occurrence_of(X109,tptp0)
| ~ subactivity_occurrence(X108,X109)
| ~ arboreal(X108)
| leaf_occ(X108,X109) ) ),
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_32])])])])])])])]) ).
cnf(c_0_16,plain,
( X1 = X2
| ~ occurrence_of(X3,X2)
| ~ occurrence_of(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,negated_conjecture,
occurrence_of(esk2_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_18,plain,
! [X59,X60,X59,X60,X62] :
( ( occurrence_of(X60,esk6_2(X59,X60))
| ~ leaf_occ(X59,X60) )
& ( subactivity_occurrence(X59,X60)
| ~ leaf_occ(X59,X60) )
& ( leaf(X59,esk6_2(X59,X60))
| ~ leaf_occ(X59,X60) )
& ( ~ occurrence_of(X60,X62)
| ~ subactivity_occurrence(X59,X60)
| ~ leaf(X59,X62)
| leaf_occ(X59,X60) ) ),
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_18])])])])])])]) ).
fof(c_0_19,plain,
! [X83,X84,X85,X86,X83,X84,X85] :
( ( min_precedes(X83,X84,X85)
| ~ next_subocc(X83,X84,X85) )
& ( ~ min_precedes(X83,X86,X85)
| ~ min_precedes(X86,X84,X85)
| ~ next_subocc(X83,X84,X85) )
& ( min_precedes(X83,esk11_3(X83,X84,X85),X85)
| ~ min_precedes(X83,X84,X85)
| next_subocc(X83,X84,X85) )
& ( min_precedes(esk11_3(X83,X84,X85),X84,X85)
| ~ min_precedes(X83,X84,X85)
| next_subocc(X83,X84,X85) ) ),
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_26])])])])])])]) ).
cnf(c_0_20,plain,
( leaf_occ(X1,X2)
| next_subocc(X1,esk7_1(X1),tptp0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_21,plain,
! [X52,X53,X55,X52,X53,X56] :
( ( root(X52,X53)
| min_precedes(esk4_2(X52,X53),X52,X53)
| ~ leaf(X52,X53) )
& ( ~ min_precedes(X52,X55,X53)
| ~ leaf(X52,X53) )
& ( ~ root(X52,X53)
| min_precedes(X52,esk5_2(X52,X53),X53)
| leaf(X52,X53) )
& ( ~ min_precedes(X56,X52,X53)
| min_precedes(X52,esk5_2(X52,X53),X53)
| leaf(X52,X53) ) ),
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_15])])])])])])]) ).
cnf(c_0_22,plain,
( leaf_occ(X1,X2)
| min_precedes(esk7_1(X1),esk8_1(X1),tptp0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,negated_conjecture,
( X1 = tptp0
| ~ occurrence_of(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_24,plain,
( occurrence_of(X2,esk6_2(X1,X2))
| ~ leaf_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,plain,
( min_precedes(X1,X2,X3)
| ~ next_subocc(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,negated_conjecture,
( next_subocc(X1,esk7_1(X1),tptp0)
| leaf_occ(X1,esk2_0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_20,c_0_17]) ).
cnf(c_0_27,plain,
( ~ leaf(X1,X2)
| ~ min_precedes(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,negated_conjecture,
( min_precedes(esk7_1(X1),esk8_1(X1),tptp0)
| leaf_occ(X1,esk2_0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_17]) ).
cnf(c_0_29,plain,
( leaf(X1,esk6_2(X1,X2))
| ~ leaf_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_30,negated_conjecture,
( esk6_2(X1,esk2_0) = tptp0
| ~ leaf_occ(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
fof(c_0_31,plain,
! [X44] :
( ( activity(esk14_1(X44))
| ~ activity_occurrence(X44) )
& ( occurrence_of(X44,esk14_1(X44))
| ~ activity_occurrence(X44) ) ),
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_12])])])])])]) ).
fof(c_0_32,plain,
! [X15,X16] :
( ( activity(X15)
| ~ occurrence_of(X16,X15) )
& ( activity_occurrence(X16)
| ~ occurrence_of(X16,X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_03])])]) ).
cnf(c_0_33,plain,
( leaf(X1,X2)
| min_precedes(X1,esk5_2(X1,X2),X2)
| ~ min_precedes(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_34,negated_conjecture,
( min_precedes(X1,esk7_1(X1),tptp0)
| leaf_occ(X1,esk2_0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_35,negated_conjecture,
( leaf_occ(X1,esk2_0)
| ~ leaf(esk7_1(X1),tptp0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_36,plain,
( leaf_occ(X1,X2)
| ~ leaf(X1,X3)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_37,negated_conjecture,
( leaf(X1,tptp0)
| ~ leaf_occ(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_38,plain,
( occurrence_of(X1,esk14_1(X1))
| ~ activity_occurrence(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,plain,
( activity_occurrence(X1)
| ~ occurrence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,plain,
( leaf_occ(X1,X2)
| X3 = esk9_1(X1)
| X3 = esk8_1(X1)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ min_precedes(esk7_1(X1),X3,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_41,negated_conjecture,
( min_precedes(esk7_1(X1),esk5_2(esk7_1(X1),tptp0),tptp0)
| leaf_occ(X1,esk2_0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_42,negated_conjecture,
( leaf_occ(X1,X2)
| ~ leaf_occ(X1,esk2_0)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,plain,
( X1 = esk14_1(X2)
| ~ occurrence_of(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_38]),c_0_39]) ).
fof(c_0_44,plain,
! [X26,X27,X28] :
( ( occurrence_of(esk10_3(X26,X27,X28),X26)
| ~ min_precedes(X27,X28,X26) )
& ( subactivity_occurrence(X27,esk10_3(X26,X27,X28))
| ~ min_precedes(X27,X28,X26) )
& ( subactivity_occurrence(X28,esk10_3(X26,X27,X28))
| ~ min_precedes(X27,X28,X26) ) ),
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_06])])])])])]) ).
cnf(c_0_45,negated_conjecture,
( esk5_2(esk7_1(X1),tptp0) = esk8_1(X1)
| esk5_2(esk7_1(X1),tptp0) = esk9_1(X1)
| leaf_occ(X1,X2)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk2_0)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_46,negated_conjecture,
subactivity_occurrence(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_47,negated_conjecture,
arboreal(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_48,plain,
( esk6_2(X1,X2) = esk14_1(X2)
| ~ leaf_occ(X1,X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_24]) ).
cnf(c_0_49,plain,
( occurrence_of(esk10_3(X3,X1,X2),X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_50,negated_conjecture,
( esk5_2(esk7_1(esk1_0),tptp0) = esk9_1(esk1_0)
| esk5_2(esk7_1(esk1_0),tptp0) = esk8_1(esk1_0)
| leaf_occ(esk1_0,X1)
| ~ subactivity_occurrence(esk1_0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47])]) ).
cnf(c_0_51,negated_conjecture,
~ leaf_occ(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_52,plain,
( leaf(X1,esk14_1(X2))
| ~ leaf_occ(X1,X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_48]) ).
cnf(c_0_53,plain,
( esk14_1(esk10_3(X1,X2,X3)) = X1
| ~ min_precedes(X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_49]) ).
cnf(c_0_54,plain,
( next_subocc(X1,esk7_1(X1),tptp0)
| leaf_occ(X1,esk10_3(tptp0,X2,X3))
| ~ arboreal(X1)
| ~ min_precedes(X2,X3,tptp0)
| ~ subactivity_occurrence(X1,esk10_3(tptp0,X2,X3)) ),
inference(spm,[status(thm)],[c_0_20,c_0_49]) ).
cnf(c_0_55,plain,
( subactivity_occurrence(X1,esk10_3(X3,X1,X2))
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_56,negated_conjecture,
( esk5_2(esk7_1(esk1_0),tptp0) = esk8_1(esk1_0)
| esk5_2(esk7_1(esk1_0),tptp0) = esk9_1(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_46]),c_0_17])]),c_0_51]) ).
cnf(c_0_57,plain,
( leaf(X1,X2)
| ~ min_precedes(X3,X4,X2)
| ~ leaf_occ(X1,esk10_3(X2,X3,X4)) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,plain,
( next_subocc(X1,esk7_1(X1),tptp0)
| leaf_occ(X1,esk10_3(tptp0,X1,X2))
| ~ arboreal(X1)
| ~ min_precedes(X1,X2,tptp0) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_59,negated_conjecture,
( esk5_2(esk7_1(esk1_0),tptp0) = esk8_1(esk1_0)
| min_precedes(esk7_1(esk1_0),esk9_1(esk1_0),tptp0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_56]),c_0_47]),c_0_46])]),c_0_51]) ).
cnf(c_0_60,plain,
( next_subocc(X1,esk7_1(X1),tptp0)
| ~ arboreal(X1)
| ~ min_precedes(X1,X2,tptp0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_27]) ).
cnf(c_0_61,negated_conjecture,
( min_precedes(esk7_1(esk1_0),esk9_1(esk1_0),tptp0)
| min_precedes(esk7_1(esk1_0),esk8_1(esk1_0),tptp0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_59]),c_0_47]),c_0_46])]),c_0_51]) ).
cnf(c_0_62,negated_conjecture,
( next_subocc(esk7_1(esk1_0),esk7_1(esk7_1(esk1_0)),tptp0)
| ~ arboreal(esk7_1(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_60]) ).
fof(c_0_63,plain,
! [X54,X55] :
( ( ~ arboreal(X54)
| atomic(X55)
| ~ occurrence_of(X54,X55) )
& ( ~ atomic(X55)
| arboreal(X54)
| ~ occurrence_of(X54,X55) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_16])])]) ).
cnf(c_0_64,plain,
( leaf_occ(X1,X2)
| occurrence_of(esk7_1(X1),tptp3)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_65,negated_conjecture,
( min_precedes(esk7_1(esk1_0),esk7_1(esk7_1(esk1_0)),tptp0)
| ~ arboreal(esk7_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_25,c_0_62]) ).
cnf(c_0_66,plain,
( arboreal(X1)
| ~ occurrence_of(X1,X2)
| ~ atomic(X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_67,negated_conjecture,
( leaf_occ(X1,esk2_0)
| occurrence_of(esk7_1(X1),tptp3)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_64,c_0_17]) ).
cnf(c_0_68,plain,
atomic(tptp3),
inference(split_conjunct,[status(thm)],[sos_38]) ).
cnf(c_0_69,negated_conjecture,
( esk8_1(esk1_0) = esk7_1(esk7_1(esk1_0))
| esk9_1(esk1_0) = esk7_1(esk7_1(esk1_0))
| leaf_occ(esk1_0,X1)
| ~ arboreal(esk7_1(esk1_0))
| ~ subactivity_occurrence(esk1_0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_65]),c_0_47])]) ).
cnf(c_0_70,negated_conjecture,
( arboreal(esk7_1(X1))
| leaf_occ(X1,esk2_0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68])]) ).
cnf(c_0_71,plain,
( leaf_occ(X1,X2)
| min_precedes(esk8_1(X1),esk9_1(X1),tptp0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_72,negated_conjecture,
( esk9_1(esk1_0) = esk7_1(esk7_1(esk1_0))
| esk8_1(esk1_0) = esk7_1(esk7_1(esk1_0))
| leaf_occ(esk1_0,X1)
| ~ subactivity_occurrence(esk1_0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_47]),c_0_46])]),c_0_51]) ).
cnf(c_0_73,plain,
( leaf_occ(X1,esk10_3(tptp0,X2,X3))
| occurrence_of(esk7_1(X1),tptp3)
| ~ arboreal(X1)
| ~ min_precedes(X2,X3,tptp0)
| ~ subactivity_occurrence(X1,esk10_3(tptp0,X2,X3)) ),
inference(spm,[status(thm)],[c_0_64,c_0_49]) ).
cnf(c_0_74,plain,
( ~ next_subocc(X1,X2,X3)
| ~ min_precedes(X4,X2,X3)
| ~ min_precedes(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_75,negated_conjecture,
( next_subocc(esk7_1(X1),esk7_1(esk7_1(X1)),tptp0)
| leaf_occ(X1,esk2_0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_28]),c_0_70]) ).
cnf(c_0_76,negated_conjecture,
( min_precedes(esk8_1(X1),esk9_1(X1),tptp0)
| leaf_occ(X1,esk2_0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_71,c_0_17]) ).
cnf(c_0_77,negated_conjecture,
( esk8_1(esk1_0) = esk7_1(esk7_1(esk1_0))
| esk9_1(esk1_0) = esk7_1(esk7_1(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_46]),c_0_17])]),c_0_51]) ).
cnf(c_0_78,plain,
( leaf_occ(X1,esk10_3(tptp0,X1,X2))
| occurrence_of(esk7_1(X1),tptp3)
| ~ arboreal(X1)
| ~ min_precedes(X1,X2,tptp0) ),
inference(spm,[status(thm)],[c_0_73,c_0_55]) ).
cnf(c_0_79,negated_conjecture,
( leaf_occ(X1,esk2_0)
| ~ arboreal(X1)
| ~ min_precedes(X2,esk7_1(esk7_1(X1)),tptp0)
| ~ min_precedes(esk7_1(X1),X2,tptp0)
| ~ subactivity_occurrence(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_80,negated_conjecture,
( esk8_1(esk1_0) = esk7_1(esk7_1(esk1_0))
| min_precedes(esk8_1(esk1_0),esk7_1(esk7_1(esk1_0)),tptp0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_47]),c_0_46])]),c_0_51]) ).
cnf(c_0_81,plain,
( occurrence_of(esk7_1(X1),tptp3)
| ~ arboreal(X1)
| ~ min_precedes(X1,X2,tptp0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_78]),c_0_27]) ).
cnf(c_0_82,plain,
( leaf_occ(X1,X2)
| occurrence_of(esk8_1(X1),tptp4)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_83,negated_conjecture,
( esk8_1(esk1_0) = esk7_1(esk7_1(esk1_0))
| ~ min_precedes(esk7_1(esk1_0),esk8_1(esk1_0),tptp0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_47]),c_0_46])]),c_0_51]) ).
cnf(c_0_84,negated_conjecture,
( leaf_occ(X1,esk2_0)
| occurrence_of(esk7_1(esk7_1(X1)),tptp3)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_28]),c_0_70]) ).
cnf(c_0_85,negated_conjecture,
( leaf_occ(X1,esk2_0)
| occurrence_of(esk8_1(X1),tptp4)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_82,c_0_17]) ).
cnf(c_0_86,negated_conjecture,
esk8_1(esk1_0) = esk7_1(esk7_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_28]),c_0_47]),c_0_46])]),c_0_51]) ).
cnf(c_0_87,negated_conjecture,
( X1 = tptp3
| leaf_occ(X2,esk2_0)
| ~ arboreal(X2)
| ~ subactivity_occurrence(X2,esk2_0)
| ~ occurrence_of(esk7_1(esk7_1(X2)),X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_84]) ).
cnf(c_0_88,negated_conjecture,
occurrence_of(esk7_1(esk7_1(esk1_0)),tptp4),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_47]),c_0_46])]),c_0_51]) ).
cnf(c_0_89,plain,
tptp4 != tptp3,
inference(split_conjunct,[status(thm)],[sos_39]) ).
cnf(c_0_90,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_47]),c_0_46])]),c_0_89]),c_0_51]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : PRO017+4 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 03:04:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.24/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.42 # Preprocessing time : 0.019 s
% 0.24/1.42
% 0.24/1.42 # Proof found!
% 0.24/1.42 # SZS status Theorem
% 0.24/1.42 # SZS output start CNFRefutation
% See solution above
% 0.24/1.42 # Proof object total steps : 91
% 0.24/1.42 # Proof object clause steps : 68
% 0.24/1.42 # Proof object formula steps : 23
% 0.24/1.42 # Proof object conjectures : 39
% 0.24/1.42 # Proof object clause conjectures : 36
% 0.24/1.42 # Proof object formula conjectures : 3
% 0.24/1.42 # Proof object initial clauses used : 25
% 0.24/1.42 # Proof object initial formulas used : 12
% 0.24/1.42 # Proof object generating inferences : 43
% 0.24/1.42 # Proof object simplifying inferences : 53
% 0.24/1.42 # Training examples: 0 positive, 0 negative
% 0.24/1.42 # Parsed axioms : 46
% 0.24/1.42 # Removed by relevancy pruning/SinE : 13
% 0.24/1.42 # Initial clauses : 63
% 0.24/1.42 # Removed in clause preprocessing : 0
% 0.24/1.42 # Initial clauses in saturation : 63
% 0.24/1.42 # Processed clauses : 2157
% 0.24/1.42 # ...of these trivial : 2
% 0.24/1.42 # ...subsumed : 1153
% 0.24/1.42 # ...remaining for further processing : 1002
% 0.24/1.42 # Other redundant clauses eliminated : 0
% 0.24/1.42 # Clauses deleted for lack of memory : 0
% 0.24/1.42 # Backward-subsumed : 62
% 0.24/1.42 # Backward-rewritten : 106
% 0.24/1.42 # Generated clauses : 6736
% 0.24/1.42 # ...of the previous two non-trivial : 6062
% 0.24/1.42 # Contextual simplify-reflections : 1325
% 0.24/1.42 # Paramodulations : 6735
% 0.24/1.42 # Factorizations : 1
% 0.24/1.42 # Equation resolutions : 0
% 0.24/1.42 # Current number of processed clauses : 834
% 0.24/1.42 # Positive orientable unit clauses : 18
% 0.24/1.42 # Positive unorientable unit clauses: 0
% 0.24/1.42 # Negative unit clauses : 16
% 0.24/1.42 # Non-unit-clauses : 800
% 0.24/1.42 # Current number of unprocessed clauses: 2862
% 0.24/1.42 # ...number of literals in the above : 18223
% 0.24/1.42 # Current number of archived formulas : 0
% 0.24/1.42 # Current number of archived clauses : 168
% 0.24/1.42 # Clause-clause subsumption calls (NU) : 266917
% 0.24/1.42 # Rec. Clause-clause subsumption calls : 65322
% 0.24/1.42 # Non-unit clause-clause subsumptions : 2462
% 0.24/1.42 # Unit Clause-clause subsumption calls : 1443
% 0.24/1.42 # Rewrite failures with RHS unbound : 0
% 0.24/1.42 # BW rewrite match attempts : 12
% 0.24/1.42 # BW rewrite match successes : 6
% 0.24/1.42 # Condensation attempts : 0
% 0.24/1.42 # Condensation successes : 0
% 0.24/1.42 # Termbank termtop insertions : 156156
% 0.24/1.42
% 0.24/1.42 # -------------------------------------------------
% 0.24/1.42 # User time : 0.378 s
% 0.24/1.42 # System time : 0.005 s
% 0.24/1.42 # Total time : 0.383 s
% 0.24/1.42 # Maximum resident set size: 8972 pages
% 0.24/23.43 eprover: CPU time limit exceeded, terminating
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.50 eprover: No such file or directory
% 0.24/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------