TSTP Solution File: PRO003+4 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : PRO003+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n011.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 17:44:53 EDT 2022
% Result : Theorem 0.22s 1.40s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 14
% Syntax : Number of formulae : 91 ( 18 unt; 0 def)
% Number of atoms : 306 ( 29 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 381 ( 166 ~; 168 |; 36 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 189 ( 13 sgn 59 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
~ ? [X108] : occurrence_of(X108,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_19,axiom,
! [X59,X60] :
( root_occ(X59,X60)
<=> ? [X61] :
( occurrence_of(X60,X61)
& subactivity_occurrence(X59,X60)
& root(X59,X61) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_19) ).
fof(sos_32,axiom,
! [X102] :
( occurrence_of(X102,tptp0)
=> ? [X103,X104] :
( occurrence_of(X103,tptp4)
& root_occ(X103,X102)
& occurrence_of(X104,tptp3)
& leaf_occ(X104,X102)
& next_subocc(X103,X104,tptp0) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_32) ).
fof(sos_29,axiom,
! [X91,X92,X93,X94] :
( ( occurrence_of(X93,X94)
& root_occ(X91,X93)
& root_occ(X92,X93) )
=> X91 = X92 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_29) ).
fof(sos,axiom,
! [X1,X2] :
( ( occurrence_of(X2,X1)
& ~ atomic(X1) )
=> ? [X3] :
( root(X3,X1)
& subactivity_occurrence(X3,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos) ).
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_02,axiom,
! [X9,X10,X11,X12] :
( ( occurrence_of(X10,X9)
& subactivity_occurrence(X11,X10)
& leaf_occ(X12,X10)
& arboreal(X11)
& ~ min_precedes(X11,X12,X9) )
=> X12 = X11 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_02) ).
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_45,axiom,
! [X105,X106] :
( ( occurrence_of(X106,tptp0)
& root_occ(X105,X106) )
=> ? [X107] :
( occurrence_of(X107,tptp1)
& next_subocc(X105,X107,tptp0) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_45) ).
fof(sos_34,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_34) ).
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(tptp1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_38) ).
fof(sos_42,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_42) ).
fof(c_0_14,negated_conjecture,
~ ~ ? [X108] : occurrence_of(X108,tptp0),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_15,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_16,negated_conjecture,
occurrence_of(esk1_0,tptp0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
cnf(c_0_17,plain,
( X1 = X2
| ~ occurrence_of(X3,X2)
| ~ occurrence_of(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_18,negated_conjecture,
occurrence_of(esk1_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_19,plain,
! [X62,X63,X62,X63,X65] :
( ( occurrence_of(X63,esk6_2(X62,X63))
| ~ root_occ(X62,X63) )
& ( subactivity_occurrence(X62,X63)
| ~ root_occ(X62,X63) )
& ( root(X62,esk6_2(X62,X63))
| ~ root_occ(X62,X63) )
& ( ~ occurrence_of(X63,X65)
| ~ subactivity_occurrence(X62,X63)
| ~ root(X62,X65)
| root_occ(X62,X63) ) ),
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_19])])])])])])]) ).
cnf(c_0_20,negated_conjecture,
( X1 = tptp0
| ~ occurrence_of(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,plain,
( occurrence_of(X2,esk6_2(X1,X2))
| ~ root_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_22,plain,
( root(X1,esk6_2(X1,X2))
| ~ root_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( esk6_2(X1,esk1_0) = tptp0
| ~ root_occ(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,plain,
( root_occ(X1,X2)
| ~ root(X1,X3)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,negated_conjecture,
( root(X1,tptp0)
| ~ root_occ(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
fof(c_0_26,plain,
! [X105] :
( ( occurrence_of(esk2_1(X105),tptp4)
| ~ occurrence_of(X105,tptp0) )
& ( root_occ(esk2_1(X105),X105)
| ~ occurrence_of(X105,tptp0) )
& ( occurrence_of(esk3_1(X105),tptp3)
| ~ occurrence_of(X105,tptp0) )
& ( leaf_occ(esk3_1(X105),X105)
| ~ occurrence_of(X105,tptp0) )
& ( next_subocc(esk2_1(X105),esk3_1(X105),tptp0)
| ~ occurrence_of(X105,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_32])])])])])]) ).
fof(c_0_27,plain,
! [X95,X96,X97,X98] :
( ~ occurrence_of(X97,X98)
| ~ root_occ(X95,X97)
| ~ root_occ(X96,X97)
| X95 = X96 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_29])])])]) ).
cnf(c_0_28,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_24,c_0_25]) ).
cnf(c_0_29,plain,
( root_occ(esk2_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_30,plain,
( X1 = X2
| ~ root_occ(X2,X3)
| ~ root_occ(X1,X3)
| ~ occurrence_of(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,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_28,c_0_29]),c_0_18])]) ).
cnf(c_0_32,plain,
( subactivity_occurrence(X1,X2)
| ~ root_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_33,plain,
! [X4,X5] :
( ( root(esk7_2(X4,X5),X4)
| ~ occurrence_of(X5,X4)
| atomic(X4) )
& ( subactivity_occurrence(esk7_2(X4,X5),X5)
| ~ occurrence_of(X5,X4)
| atomic(X4) ) ),
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])])])])])])]) ).
fof(c_0_34,plain,
! [X26,X27,X28] :
( ( occurrence_of(esk8_3(X26,X27,X28),X26)
| ~ min_precedes(X27,X28,X26) )
& ( subactivity_occurrence(X27,esk8_3(X26,X27,X28))
| ~ min_precedes(X27,X28,X26) )
& ( subactivity_occurrence(X28,esk8_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_35,negated_conjecture,
( X1 = esk2_1(esk1_0)
| ~ root_occ(X1,X2)
| ~ subactivity_occurrence(esk2_1(esk1_0),X2)
| ~ occurrence_of(X2,tptp0)
| ~ occurrence_of(X2,X3) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,plain,
( subactivity_occurrence(esk2_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_32,c_0_29]) ).
cnf(c_0_37,plain,
( atomic(X1)
| root(esk7_2(X1,X2),X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_38,plain,
! [X13,X14,X15,X16] :
( ~ occurrence_of(X14,X13)
| ~ subactivity_occurrence(X15,X14)
| ~ leaf_occ(X16,X14)
| ~ arboreal(X15)
| min_precedes(X15,X16,X13)
| X16 = X15 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[sos_02])])]) ).
cnf(c_0_39,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_24,c_0_22]) ).
cnf(c_0_40,plain,
( occurrence_of(esk8_3(X3,X1,X2),X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,negated_conjecture,
( X1 = esk2_1(esk1_0)
| ~ root_occ(X1,esk1_0)
| ~ occurrence_of(esk1_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_18])]) ).
cnf(c_0_42,plain,
( root_occ(esk7_2(X1,X2),X3)
| atomic(X1)
| ~ subactivity_occurrence(esk7_2(X1,X2),X3)
| ~ occurrence_of(X3,X1)
| ~ occurrence_of(X2,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_37]) ).
fof(c_0_43,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,esk5_3(X83,X84,X85),X85)
| ~ min_precedes(X83,X84,X85)
| next_subocc(X83,X84,X85) )
& ( min_precedes(esk5_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_44,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_38]) ).
cnf(c_0_45,plain,
( leaf_occ(esk3_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_46,plain,
( root_occ(X1,esk8_3(esk6_2(X1,X2),X3,X4))
| ~ min_precedes(X3,X4,esk6_2(X1,X2))
| ~ root_occ(X1,X2)
| ~ subactivity_occurrence(X1,esk8_3(esk6_2(X1,X2),X3,X4)) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_47,negated_conjecture,
( esk7_2(X1,X2) = esk2_1(esk1_0)
| atomic(X1)
| ~ subactivity_occurrence(esk7_2(X1,X2),esk1_0)
| ~ occurrence_of(esk1_0,X3)
| ~ occurrence_of(esk1_0,X1)
| ~ occurrence_of(X2,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_48,plain,
( atomic(X1)
| subactivity_occurrence(esk7_2(X1,X2),X2)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_49,plain,
( ~ next_subocc(X1,X2,X3)
| ~ min_precedes(X4,X2,X3)
| ~ min_precedes(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_50,plain,
( next_subocc(esk2_1(X1),esk3_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_51,plain,
( esk3_1(X1) = X2
| min_precedes(X2,esk3_1(X1),X3)
| ~ arboreal(X2)
| ~ subactivity_occurrence(X2,X1)
| ~ occurrence_of(X1,tptp0)
| ~ occurrence_of(X1,X3) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_52,plain,
( subactivity_occurrence(X2,esk8_3(X3,X1,X2))
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_53,plain,
( X1 = esk2_1(X2)
| ~ root_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ occurrence_of(X2,X3) ),
inference(spm,[status(thm)],[c_0_30,c_0_29]) ).
cnf(c_0_54,negated_conjecture,
( root_occ(X1,esk8_3(tptp0,X2,X3))
| ~ min_precedes(X2,X3,tptp0)
| ~ root_occ(X1,esk1_0)
| ~ subactivity_occurrence(X1,esk8_3(tptp0,X2,X3)) ),
inference(spm,[status(thm)],[c_0_46,c_0_23]) ).
fof(c_0_55,plain,
! [X108,X109] :
( ( occurrence_of(esk4_1(X108),tptp1)
| ~ occurrence_of(X109,tptp0)
| ~ root_occ(X108,X109) )
& ( next_subocc(X108,esk4_1(X108),tptp0)
| ~ occurrence_of(X109,tptp0)
| ~ root_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)],[sos_45])])])])])])]) ).
cnf(c_0_56,negated_conjecture,
( esk7_2(X1,esk1_0) = esk2_1(esk1_0)
| atomic(X1)
| ~ occurrence_of(esk1_0,X2)
| ~ occurrence_of(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_57,plain,
( occurrence_of(esk3_1(X1),tptp3)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_58,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_49,c_0_50]) ).
cnf(c_0_59,plain,
( esk3_1(esk8_3(X1,X2,X3)) = X3
| min_precedes(X3,esk3_1(esk8_3(X1,X2,X3)),X4)
| ~ arboreal(X3)
| ~ min_precedes(X2,X3,X1)
| ~ occurrence_of(esk8_3(X1,X2,X3),tptp0)
| ~ occurrence_of(esk8_3(X1,X2,X3),X4) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_60,negated_conjecture,
( X1 = esk2_1(esk8_3(tptp0,X2,X3))
| ~ min_precedes(X2,X3,tptp0)
| ~ root_occ(X1,esk1_0)
| ~ subactivity_occurrence(X1,esk8_3(tptp0,X2,X3))
| ~ occurrence_of(esk8_3(tptp0,X2,X3),X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_40]) ).
cnf(c_0_61,plain,
( subactivity_occurrence(X1,esk8_3(X3,X1,X2))
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_62,plain,
( next_subocc(X1,esk4_1(X1),tptp0)
| ~ root_occ(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_63,plain,
( occurrence_of(esk4_1(X1),tptp1)
| ~ root_occ(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_64,negated_conjecture,
( esk7_2(X1,esk1_0) = esk2_1(esk1_0)
| atomic(X1)
| ~ occurrence_of(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_18]) ).
fof(c_0_65,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_34]) ).
cnf(c_0_66,plain,
( X1 = tptp3
| ~ occurrence_of(esk3_1(X2),X1)
| ~ occurrence_of(X2,tptp0) ),
inference(spm,[status(thm)],[c_0_17,c_0_57]) ).
cnf(c_0_67,plain,
( esk3_1(esk8_3(X1,X2,X3)) = X3
| ~ arboreal(X3)
| ~ min_precedes(esk2_1(esk8_3(X1,X2,X3)),X3,tptp0)
| ~ min_precedes(X2,X3,X1)
| ~ occurrence_of(esk8_3(X1,X2,X3),tptp0) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_68,negated_conjecture,
( esk2_1(esk8_3(tptp0,X1,X2)) = X1
| ~ min_precedes(X1,X2,tptp0)
| ~ root_occ(X1,esk1_0)
| ~ occurrence_of(esk8_3(tptp0,X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_69,negated_conjecture,
( next_subocc(esk2_1(esk1_0),esk4_1(esk2_1(esk1_0)),tptp0)
| ~ subactivity_occurrence(esk2_1(esk1_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_62,c_0_31]) ).
fof(c_0_70,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_71,negated_conjecture,
( occurrence_of(esk4_1(esk2_1(esk1_0)),tptp1)
| ~ subactivity_occurrence(esk2_1(esk1_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_63,c_0_31]) ).
cnf(c_0_72,negated_conjecture,
( subactivity_occurrence(esk2_1(esk1_0),esk1_0)
| atomic(X1)
| ~ occurrence_of(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_64]) ).
cnf(c_0_73,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_74,plain,
( X1 = tptp3
| ~ arboreal(X2)
| ~ min_precedes(esk2_1(esk8_3(X3,X4,X2)),X2,tptp0)
| ~ min_precedes(X4,X2,X3)
| ~ occurrence_of(esk8_3(X3,X4,X2),tptp0)
| ~ occurrence_of(X2,X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_75,negated_conjecture,
( esk2_1(esk8_3(tptp0,X1,X2)) = X1
| ~ min_precedes(X1,X2,tptp0)
| ~ root_occ(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_68,c_0_40]) ).
cnf(c_0_76,plain,
( min_precedes(X1,X2,X3)
| ~ next_subocc(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_77,negated_conjecture,
next_subocc(esk2_1(esk1_0),esk4_1(esk2_1(esk1_0)),tptp0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_36]),c_0_18])]) ).
cnf(c_0_78,plain,
( arboreal(X1)
| ~ occurrence_of(X1,X2)
| ~ atomic(X2) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_79,negated_conjecture,
occurrence_of(esk4_1(esk2_1(esk1_0)),tptp1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_36]),c_0_18])]) ).
cnf(c_0_80,plain,
atomic(tptp1),
inference(split_conjunct,[status(thm)],[sos_38]) ).
cnf(c_0_81,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_42,c_0_64]) ).
cnf(c_0_82,negated_conjecture,
subactivity_occurrence(esk2_1(esk1_0),esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_18]),c_0_73]) ).
cnf(c_0_83,negated_conjecture,
( X1 = tptp3
| ~ arboreal(X2)
| ~ min_precedes(X3,X2,tptp0)
| ~ root_occ(X3,esk1_0)
| ~ occurrence_of(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_40]) ).
cnf(c_0_84,negated_conjecture,
min_precedes(esk2_1(esk1_0),esk4_1(esk2_1(esk1_0)),tptp0),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_85,negated_conjecture,
arboreal(esk4_1(esk2_1(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80])]) ).
cnf(c_0_86,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_81,c_0_18]),c_0_82]),c_0_18])]),c_0_73]) ).
cnf(c_0_87,negated_conjecture,
( X1 = tptp3
| ~ 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_83,c_0_84]),c_0_85]),c_0_86])]) ).
cnf(c_0_88,plain,
( occurrence_of(esk4_1(esk2_1(X1)),tptp1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_63,c_0_29]) ).
cnf(c_0_89,plain,
tptp1 != tptp3,
inference(split_conjunct,[status(thm)],[sos_42]) ).
cnf(c_0_90,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_18])]),c_0_89]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PRO003+4 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n011.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 01:28:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.40 # Preprocessing time : 0.017 s
% 0.22/1.40
% 0.22/1.40 # Proof found!
% 0.22/1.40 # SZS status Theorem
% 0.22/1.40 # SZS output start CNFRefutation
% See solution above
% 0.22/1.40 # Proof object total steps : 91
% 0.22/1.40 # Proof object clause steps : 64
% 0.22/1.40 # Proof object formula steps : 27
% 0.22/1.40 # Proof object conjectures : 31
% 0.22/1.40 # Proof object clause conjectures : 28
% 0.22/1.40 # Proof object formula conjectures : 3
% 0.22/1.40 # Proof object initial clauses used : 25
% 0.22/1.40 # Proof object initial formulas used : 14
% 0.22/1.40 # Proof object generating inferences : 39
% 0.22/1.40 # Proof object simplifying inferences : 23
% 0.22/1.40 # Training examples: 0 positive, 0 negative
% 0.22/1.40 # Parsed axioms : 47
% 0.22/1.40 # Removed by relevancy pruning/SinE : 16
% 0.22/1.40 # Initial clauses : 48
% 0.22/1.40 # Removed in clause preprocessing : 0
% 0.22/1.40 # Initial clauses in saturation : 48
% 0.22/1.40 # Processed clauses : 3194
% 0.22/1.40 # ...of these trivial : 2
% 0.22/1.40 # ...subsumed : 2125
% 0.22/1.40 # ...remaining for further processing : 1067
% 0.22/1.40 # Other redundant clauses eliminated : 0
% 0.22/1.40 # Clauses deleted for lack of memory : 0
% 0.22/1.40 # Backward-subsumed : 105
% 0.22/1.40 # Backward-rewritten : 39
% 0.22/1.40 # Generated clauses : 12023
% 0.22/1.40 # ...of the previous two non-trivial : 11357
% 0.22/1.40 # Contextual simplify-reflections : 2950
% 0.22/1.40 # Paramodulations : 12023
% 0.22/1.40 # Factorizations : 0
% 0.22/1.40 # Equation resolutions : 0
% 0.22/1.40 # Current number of processed clauses : 923
% 0.22/1.40 # Positive orientable unit clauses : 15
% 0.22/1.40 # Positive unorientable unit clauses: 0
% 0.22/1.40 # Negative unit clauses : 12
% 0.22/1.40 # Non-unit-clauses : 896
% 0.22/1.40 # Current number of unprocessed clauses: 7165
% 0.22/1.40 # ...number of literals in the above : 54953
% 0.22/1.40 # Current number of archived formulas : 0
% 0.22/1.40 # Current number of archived clauses : 144
% 0.22/1.40 # Clause-clause subsumption calls (NU) : 293362
% 0.22/1.40 # Rec. Clause-clause subsumption calls : 55246
% 0.22/1.40 # Non-unit clause-clause subsumptions : 5012
% 0.22/1.40 # Unit Clause-clause subsumption calls : 441
% 0.22/1.40 # Rewrite failures with RHS unbound : 0
% 0.22/1.40 # BW rewrite match attempts : 13
% 0.22/1.40 # BW rewrite match successes : 6
% 0.22/1.40 # Condensation attempts : 0
% 0.22/1.40 # Condensation successes : 0
% 0.22/1.40 # Termbank termtop insertions : 313086
% 0.22/1.40
% 0.22/1.40 # -------------------------------------------------
% 0.22/1.40 # User time : 0.497 s
% 0.22/1.40 # System time : 0.008 s
% 0.22/1.40 # Total time : 0.505 s
% 0.22/1.40 # Maximum resident set size: 13408 pages
% 0.22/23.40 eprover: CPU time limit exceeded, terminating
% 0.22/23.40 eprover: CPU time limit exceeded, terminating
% 0.22/23.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.41 eprover: No such file or directory
% 0.22/23.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.41 eprover: No such file or directory
% 0.22/23.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.41 eprover: No such file or directory
% 0.22/23.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.41 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------