TSTP Solution File: PRO006+3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : PRO006+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n020.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 : 300s
% DateTime : Thu Aug 31 13:06:02 EDT 2023
% Result : Theorem 0.88s 0.95s
% Output : CNFRefutation 0.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 59
% Syntax : Number of formulae : 146 ( 41 unt; 42 typ; 0 def)
% Number of atoms : 302 ( 21 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 329 ( 131 ~; 126 |; 55 &)
% ( 4 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 72 ( 36 >; 36 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 6 con; 0-4 aty)
% Number of variables : 167 ( 6 sgn; 85 !; 15 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
occurrence_of: ( $i * $i ) > $o ).
tff(decl_23,type,
activity: $i > $o ).
tff(decl_24,type,
activity_occurrence: $i > $o ).
tff(decl_25,type,
subactivity: ( $i * $i ) > $o ).
tff(decl_26,type,
earlier: ( $i * $i ) > $o ).
tff(decl_27,type,
arboreal: $i > $o ).
tff(decl_28,type,
atomic: $i > $o ).
tff(decl_29,type,
legal: $i > $o ).
tff(decl_30,type,
precedes: ( $i * $i ) > $o ).
tff(decl_31,type,
min_precedes: ( $i * $i * $i ) > $o ).
tff(decl_32,type,
atocc: ( $i * $i ) > $o ).
tff(decl_33,type,
root: ( $i * $i ) > $o ).
tff(decl_34,type,
leaf: ( $i * $i ) > $o ).
tff(decl_35,type,
next_subocc: ( $i * $i * $i ) > $o ).
tff(decl_36,type,
subactivity_occurrence: ( $i * $i ) > $o ).
tff(decl_37,type,
root_occ: ( $i * $i ) > $o ).
tff(decl_38,type,
leaf_occ: ( $i * $i ) > $o ).
tff(decl_39,type,
tptp0: $i ).
tff(decl_40,type,
tptp4: $i ).
tff(decl_41,type,
tptp3: $i ).
tff(decl_42,type,
tptp2: $i ).
tff(decl_43,type,
tptp1: $i ).
tff(decl_44,type,
esk1_1: $i > $i ).
tff(decl_45,type,
esk2_3: ( $i * $i * $i ) > $i ).
tff(decl_46,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_47,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_48,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_50,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_51,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_53,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_55,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_56,type,
esk13_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_57,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_58,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_59,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_60,type,
esk17_1: $i > $i ).
tff(decl_61,type,
esk18_1: $i > $i ).
tff(decl_62,type,
esk19_1: $i > $i ).
tff(decl_63,type,
esk20_0: $i ).
fof(sos_27,axiom,
! [X77,X78] :
( ( occurrence_of(X78,X77)
& ~ atomic(X77) )
=> ? [X79] :
( root(X79,X77)
& subactivity_occurrence(X79,X78) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_27) ).
fof(goals,conjecture,
~ ? [X168] : occurrence_of(X168,tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(sos_51,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_51) ).
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/sandbox2/benchmark/theBenchmark.p',sos_33) ).
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/sandbox2/benchmark/theBenchmark.p',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/sandbox2/benchmark/theBenchmark.p',sos_49) ).
fof(sos_26,axiom,
! [X74,X75] :
( ( root(X75,X74)
& ~ atomic(X74) )
=> ? [X76] :
( occurrence_of(X76,X74)
& subactivity_occurrence(X75,X76) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_26) ).
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/sandbox2/benchmark/theBenchmark.p',sos_22) ).
fof(sos_62,axiom,
! [X165,X166] :
( ( occurrence_of(X166,tptp0)
& subactivity_occurrence(X165,X166)
& arboreal(X165)
& ~ leaf_occ(X165,X166) )
=> ? [X167] :
( occurrence_of(X167,tptp1)
& next_subocc(X165,X167,tptp0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_62) ).
fof(sos_37,axiom,
! [X114,X115,X116] :
( ( occurrence_of(X114,X116)
& leaf_occ(X115,X114) )
=> ~ ? [X117] : min_precedes(X115,X117,X116) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_37) ).
fof(sos_07,axiom,
! [X17,X18] :
( occurrence_of(X17,X18)
=> ( arboreal(X17)
<=> atomic(X18) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(sos_52,axiom,
atomic(tptp4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_52) ).
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/sandbox2/benchmark/theBenchmark.p',sos_25) ).
fof(sos_39,axiom,
! [X122,X123,X124,X125,X126] :
( ( next_subocc(X122,X123,X125)
& next_subocc(X122,X124,X125)
& occurrence_of(X126,X125)
& subactivity_occurrence(X124,X126)
& subactivity_occurrence(X123,X126) )
=> X123 = X124 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_39) ).
fof(sos_34,axiom,
! [X103,X104] :
( leaf_occ(X103,X104)
<=> ? [X105] :
( occurrence_of(X104,X105)
& subactivity_occurrence(X103,X104)
& leaf(X103,X105) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).
fof(sos_02,axiom,
! [X5,X6,X7] :
( ( occurrence_of(X5,X6)
& occurrence_of(X5,X7) )
=> X6 = X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(sos_59,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_59) ).
fof(c_0_17,plain,
! [X77,X78] :
( ( occurrence_of(X78,X77)
& ~ atomic(X77) )
=> ? [X79] :
( root(X79,X77)
& subactivity_occurrence(X79,X78) ) ),
inference(fof_simplification,[status(thm)],[sos_27]) ).
fof(c_0_18,negated_conjecture,
~ ~ ? [X168] : occurrence_of(X168,tptp0),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_19,plain,
! [X256,X257] :
( ( root(esk12_2(X256,X257),X256)
| ~ occurrence_of(X257,X256)
| atomic(X256) )
& ( subactivity_occurrence(esk12_2(X256,X257),X257)
| ~ occurrence_of(X257,X256)
| atomic(X256) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])]) ).
fof(c_0_20,negated_conjecture,
occurrence_of(esk20_0,tptp0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
fof(c_0_21,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_51]) ).
fof(c_0_22,plain,
! [X279,X280,X282,X283,X284] :
( ( occurrence_of(X280,esk14_2(X279,X280))
| ~ root_occ(X279,X280) )
& ( subactivity_occurrence(X279,X280)
| ~ root_occ(X279,X280) )
& ( root(X279,esk14_2(X279,X280))
| ~ root_occ(X279,X280) )
& ( ~ occurrence_of(X283,X284)
| ~ subactivity_occurrence(X282,X283)
| ~ root(X282,X284)
| root_occ(X282,X283) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_33])])])])])]) ).
cnf(c_0_23,plain,
( subactivity_occurrence(esk12_2(X1,X2),X2)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,negated_conjecture,
occurrence_of(esk20_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
( root_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ root(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,negated_conjecture,
subactivity_occurrence(esk12_2(tptp0,esk20_0),esk20_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_28,plain,
( root(esk12_2(X1,X2),X1)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_29,plain,
! [X291,X292,X293,X294] :
( ~ occurrence_of(X293,X294)
| ~ root_occ(X291,X293)
| ~ root_occ(X292,X293)
| X291 = X292 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_35])]) ).
cnf(c_0_30,negated_conjecture,
( root_occ(esk12_2(tptp0,esk20_0),esk20_0)
| ~ root(esk12_2(tptp0,esk20_0),X1)
| ~ occurrence_of(esk20_0,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,negated_conjecture,
root(esk12_2(tptp0,esk20_0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_24]),c_0_25]) ).
fof(c_0_32,plain,
! [X347] :
( ( occurrence_of(esk17_1(X347),tptp4)
| ~ occurrence_of(X347,tptp0) )
& ( root_occ(esk17_1(X347),X347)
| ~ occurrence_of(X347,tptp0) )
& ( occurrence_of(esk18_1(X347),tptp3)
| ~ occurrence_of(X347,tptp0) )
& ( leaf_occ(esk18_1(X347),X347)
| ~ occurrence_of(X347,tptp0) )
& ( next_subocc(esk17_1(X347),esk18_1(X347),tptp0)
| ~ occurrence_of(X347,tptp0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_49])])])]) ).
cnf(c_0_33,plain,
( X3 = X4
| ~ occurrence_of(X1,X2)
| ~ root_occ(X3,X1)
| ~ root_occ(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,negated_conjecture,
root_occ(esk12_2(tptp0,esk20_0),esk20_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_24]),c_0_31])]) ).
cnf(c_0_35,plain,
( root_occ(esk17_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_36,plain,
! [X74,X75] :
( ( root(X75,X74)
& ~ atomic(X74) )
=> ? [X76] :
( occurrence_of(X76,X74)
& subactivity_occurrence(X75,X76) ) ),
inference(fof_simplification,[status(thm)],[sos_26]) ).
cnf(c_0_37,negated_conjecture,
( X1 = esk12_2(tptp0,esk20_0)
| ~ root_occ(X1,esk20_0)
| ~ occurrence_of(esk20_0,X2) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,negated_conjecture,
root_occ(esk17_1(esk20_0),esk20_0),
inference(spm,[status(thm)],[c_0_35,c_0_24]) ).
fof(c_0_39,plain,
! [X233,X234,X235,X236,X237,X238,X239] :
( ( min_precedes(X233,X234,X235)
| ~ next_subocc(X233,X234,X235) )
& ( ~ min_precedes(X233,X236,X235)
| ~ min_precedes(X236,X234,X235)
| ~ next_subocc(X233,X234,X235) )
& ( min_precedes(X237,esk8_3(X237,X238,X239),X239)
| ~ min_precedes(X237,X238,X239)
| next_subocc(X237,X238,X239) )
& ( min_precedes(esk8_3(X237,X238,X239),X238,X239)
| ~ min_precedes(X237,X238,X239)
| next_subocc(X237,X238,X239) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_22])])])])])]) ).
cnf(c_0_40,plain,
( next_subocc(esk17_1(X1),esk18_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_41,plain,
! [X253,X254] :
( ( occurrence_of(esk11_2(X253,X254),X253)
| ~ root(X254,X253)
| atomic(X253) )
& ( subactivity_occurrence(X254,esk11_2(X253,X254))
| ~ root(X254,X253)
| atomic(X253) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])]) ).
fof(c_0_42,plain,
! [X165,X166] :
( ( occurrence_of(X166,tptp0)
& subactivity_occurrence(X165,X166)
& arboreal(X165)
& ~ leaf_occ(X165,X166) )
=> ? [X167] :
( occurrence_of(X167,tptp1)
& next_subocc(X165,X167,tptp0) ) ),
inference(fof_simplification,[status(thm)],[sos_62]) ).
cnf(c_0_43,negated_conjecture,
( esk12_2(tptp0,esk20_0) = esk17_1(esk20_0)
| ~ occurrence_of(esk20_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
fof(c_0_44,plain,
! [X299,X300,X301,X302] :
( ~ occurrence_of(X299,X301)
| ~ leaf_occ(X300,X299)
| ~ min_precedes(X300,X302,X301) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_37])])]) ).
cnf(c_0_45,plain,
( min_precedes(X1,X2,X3)
| ~ next_subocc(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_46,negated_conjecture,
next_subocc(esk17_1(esk20_0),esk18_1(esk20_0),tptp0),
inference(spm,[status(thm)],[c_0_40,c_0_24]) ).
cnf(c_0_47,plain,
( occurrence_of(esk11_2(X1,X2),X1)
| atomic(X1)
| ~ root(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_48,plain,
! [X350,X351] :
( ( occurrence_of(esk19_1(X350),tptp1)
| ~ occurrence_of(X351,tptp0)
| ~ subactivity_occurrence(X350,X351)
| ~ arboreal(X350)
| leaf_occ(X350,X351) )
& ( next_subocc(X350,esk19_1(X350),tptp0)
| ~ occurrence_of(X351,tptp0)
| ~ subactivity_occurrence(X350,X351)
| ~ arboreal(X350)
| leaf_occ(X350,X351) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])])])])]) ).
cnf(c_0_49,negated_conjecture,
esk12_2(tptp0,esk20_0) = esk17_1(esk20_0),
inference(spm,[status(thm)],[c_0_43,c_0_24]) ).
fof(c_0_50,plain,
! [X185,X186] :
( ( ~ arboreal(X185)
| atomic(X186)
| ~ occurrence_of(X185,X186) )
& ( ~ atomic(X186)
| arboreal(X185)
| ~ occurrence_of(X185,X186) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])])]) ).
cnf(c_0_51,plain,
( occurrence_of(esk17_1(X1),tptp4)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_52,plain,
( ~ occurrence_of(X1,X2)
| ~ leaf_occ(X3,X1)
| ~ min_precedes(X3,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_53,negated_conjecture,
min_precedes(esk17_1(esk20_0),esk18_1(esk20_0),tptp0),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_54,negated_conjecture,
occurrence_of(esk11_2(tptp0,esk12_2(tptp0,esk20_0)),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_31]),c_0_25]) ).
cnf(c_0_55,plain,
( next_subocc(X1,esk19_1(X1),tptp0)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_56,plain,
( subactivity_occurrence(X1,esk11_2(X2,X1))
| atomic(X2)
| ~ root(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_57,negated_conjecture,
root(esk17_1(esk20_0),tptp0),
inference(rw,[status(thm)],[c_0_31,c_0_49]) ).
cnf(c_0_58,plain,
( arboreal(X2)
| ~ atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_59,negated_conjecture,
occurrence_of(esk17_1(esk20_0),tptp4),
inference(spm,[status(thm)],[c_0_51,c_0_24]) ).
cnf(c_0_60,plain,
atomic(tptp4),
inference(split_conjunct,[status(thm)],[sos_52]) ).
cnf(c_0_61,negated_conjecture,
( ~ leaf_occ(esk17_1(esk20_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_62,negated_conjecture,
occurrence_of(esk11_2(tptp0,esk17_1(esk20_0)),tptp0),
inference(spm,[status(thm)],[c_0_54,c_0_49]) ).
cnf(c_0_63,negated_conjecture,
( leaf_occ(X1,esk11_2(tptp0,esk17_1(esk20_0)))
| next_subocc(X1,esk19_1(X1),tptp0)
| ~ subactivity_occurrence(X1,esk11_2(tptp0,esk17_1(esk20_0)))
| ~ arboreal(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_54]),c_0_49]),c_0_49]) ).
cnf(c_0_64,negated_conjecture,
subactivity_occurrence(esk17_1(esk20_0),esk11_2(tptp0,esk17_1(esk20_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_25]) ).
cnf(c_0_65,negated_conjecture,
arboreal(esk17_1(esk20_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60])]) ).
cnf(c_0_66,negated_conjecture,
~ leaf_occ(esk17_1(esk20_0),esk11_2(tptp0,esk17_1(esk20_0))),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
fof(c_0_67,plain,
! [X249,X250,X251] :
( ( occurrence_of(esk10_3(X249,X250,X251),X249)
| ~ min_precedes(X250,X251,X249) )
& ( subactivity_occurrence(X250,esk10_3(X249,X250,X251))
| ~ min_precedes(X250,X251,X249) )
& ( subactivity_occurrence(X251,esk10_3(X249,X250,X251))
| ~ min_precedes(X250,X251,X249) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_25])])])]) ).
cnf(c_0_68,negated_conjecture,
next_subocc(esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65])]),c_0_66]) ).
cnf(c_0_69,plain,
( subactivity_occurrence(X1,esk10_3(X2,X1,X3))
| ~ min_precedes(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_70,negated_conjecture,
min_precedes(esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)),tptp0),
inference(spm,[status(thm)],[c_0_45,c_0_68]) ).
cnf(c_0_71,negated_conjecture,
subactivity_occurrence(esk17_1(esk20_0),esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_72,plain,
( occurrence_of(esk10_3(X1,X2,X3),X1)
| ~ min_precedes(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_73,negated_conjecture,
( root_occ(esk17_1(esk20_0),esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))))
| ~ root(esk17_1(esk20_0),X1)
| ~ occurrence_of(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))),X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_71]) ).
cnf(c_0_74,negated_conjecture,
occurrence_of(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))),tptp0),
inference(spm,[status(thm)],[c_0_72,c_0_70]) ).
cnf(c_0_75,negated_conjecture,
root_occ(esk17_1(esk20_0),esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_57]),c_0_74])]) ).
fof(c_0_76,plain,
! [X307,X308,X309,X310,X311] :
( ~ next_subocc(X307,X308,X310)
| ~ next_subocc(X307,X309,X310)
| ~ occurrence_of(X311,X310)
| ~ subactivity_occurrence(X309,X311)
| ~ subactivity_occurrence(X308,X311)
| X308 = X309 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_39])]) ).
cnf(c_0_77,negated_conjecture,
( X1 = esk17_1(esk20_0)
| ~ root_occ(X1,esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))))
| ~ occurrence_of(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))),X2) ),
inference(spm,[status(thm)],[c_0_33,c_0_75]) ).
cnf(c_0_78,negated_conjecture,
root_occ(esk17_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),
inference(spm,[status(thm)],[c_0_35,c_0_74]) ).
cnf(c_0_79,plain,
( X2 = X4
| ~ next_subocc(X1,X2,X3)
| ~ next_subocc(X1,X4,X3)
| ~ occurrence_of(X5,X3)
| ~ subactivity_occurrence(X4,X5)
| ~ subactivity_occurrence(X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_80,plain,
( subactivity_occurrence(X1,esk10_3(X2,X3,X1))
| ~ min_precedes(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_81,negated_conjecture,
( esk17_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))) = esk17_1(esk20_0)
| ~ occurrence_of(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))),X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
fof(c_0_82,plain,
! [X285,X286,X288,X289,X290] :
( ( occurrence_of(X286,esk15_2(X285,X286))
| ~ leaf_occ(X285,X286) )
& ( subactivity_occurrence(X285,X286)
| ~ leaf_occ(X285,X286) )
& ( leaf(X285,esk15_2(X285,X286))
| ~ leaf_occ(X285,X286) )
& ( ~ occurrence_of(X289,X290)
| ~ subactivity_occurrence(X288,X289)
| ~ leaf(X288,X290)
| leaf_occ(X288,X289) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_34])])])])])]) ).
cnf(c_0_83,plain,
( leaf_occ(esk18_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_84,plain,
( occurrence_of(esk19_1(X1),tptp1)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_85,negated_conjecture,
( X1 = esk19_1(esk17_1(esk20_0))
| ~ subactivity_occurrence(esk19_1(esk17_1(esk20_0)),X2)
| ~ subactivity_occurrence(X1,X2)
| ~ next_subocc(esk17_1(esk20_0),X1,tptp0)
| ~ occurrence_of(X2,tptp0) ),
inference(spm,[status(thm)],[c_0_79,c_0_68]) ).
cnf(c_0_86,negated_conjecture,
subactivity_occurrence(esk19_1(esk17_1(esk20_0)),esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),
inference(spm,[status(thm)],[c_0_80,c_0_70]) ).
cnf(c_0_87,negated_conjecture,
esk17_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))) = esk17_1(esk20_0),
inference(spm,[status(thm)],[c_0_81,c_0_74]) ).
cnf(c_0_88,plain,
( subactivity_occurrence(X1,X2)
| ~ leaf_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_89,negated_conjecture,
leaf_occ(esk18_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),
inference(spm,[status(thm)],[c_0_83,c_0_74]) ).
fof(c_0_90,plain,
! [X173,X174,X175] :
( ~ occurrence_of(X173,X174)
| ~ occurrence_of(X173,X175)
| X174 = X175 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_02])]) ).
cnf(c_0_91,negated_conjecture,
( leaf_occ(X1,esk11_2(tptp0,esk17_1(esk20_0)))
| occurrence_of(esk19_1(X1),tptp1)
| ~ subactivity_occurrence(X1,esk11_2(tptp0,esk17_1(esk20_0)))
| ~ arboreal(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_54]),c_0_49]),c_0_49]) ).
cnf(c_0_92,plain,
( occurrence_of(esk18_1(X1),tptp3)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_93,negated_conjecture,
( X1 = esk19_1(esk17_1(esk20_0))
| ~ subactivity_occurrence(X1,esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))))
| ~ next_subocc(esk17_1(esk20_0),X1,tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_74]),c_0_86])]) ).
cnf(c_0_94,negated_conjecture,
next_subocc(esk17_1(esk20_0),esk18_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),tptp0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_74]),c_0_87]) ).
cnf(c_0_95,negated_conjecture,
subactivity_occurrence(esk18_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_96,plain,
( X2 = X3
| ~ occurrence_of(X1,X2)
| ~ occurrence_of(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_97,negated_conjecture,
occurrence_of(esk19_1(esk17_1(esk20_0)),tptp1),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_64]),c_0_65])]),c_0_66]) ).
cnf(c_0_98,negated_conjecture,
occurrence_of(esk18_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),tptp3),
inference(spm,[status(thm)],[c_0_92,c_0_74]) ).
cnf(c_0_99,negated_conjecture,
esk18_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))) = esk19_1(esk17_1(esk20_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95])]) ).
cnf(c_0_100,negated_conjecture,
( X1 = tptp1
| ~ occurrence_of(esk19_1(esk17_1(esk20_0)),X1) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_101,negated_conjecture,
occurrence_of(esk19_1(esk17_1(esk20_0)),tptp3),
inference(rw,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_102,plain,
tptp1 != tptp3,
inference(split_conjunct,[status(thm)],[sos_59]) ).
cnf(c_0_103,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : PRO006+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 19:13:43 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 0.88/0.95 % Version : CSE_E---1.5
% 0.88/0.95 % Problem : theBenchmark.p
% 0.88/0.95 % Proof found
% 0.88/0.95 % SZS status Theorem for theBenchmark.p
% 0.88/0.95 % SZS output start Proof
% See solution above
% 0.88/0.96 % Total time : 0.385000 s
% 0.88/0.96 % SZS output end Proof
% 0.88/0.96 % Total time : 0.390000 s
%------------------------------------------------------------------------------