TSTP Solution File: PRO009+4 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : PRO009+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n014.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 13:06:04 EDT 2023
% Result : Theorem 0.92s 0.99s
% Output : CNFRefutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 58
% Syntax : Number of formulae : 160 ( 27 unt; 38 typ; 0 def)
% Number of atoms : 395 ( 29 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 445 ( 172 ~; 175 |; 75 &)
% ( 5 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 60 ( 32 >; 28 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 6 con; 0-3 aty)
% Number of variables : 221 ( 10 sgn; 113 !; 21 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
occurrence_of: ( $i * $i ) > $o ).
tff(decl_23,type,
atomic: $i > $o ).
tff(decl_24,type,
root: ( $i * $i ) > $o ).
tff(decl_25,type,
subactivity_occurrence: ( $i * $i ) > $o ).
tff(decl_26,type,
root_occ: ( $i * $i ) > $o ).
tff(decl_27,type,
leaf_occ: ( $i * $i ) > $o ).
tff(decl_28,type,
min_precedes: ( $i * $i * $i ) > $o ).
tff(decl_29,type,
arboreal: $i > $o ).
tff(decl_30,type,
activity: $i > $o ).
tff(decl_31,type,
activity_occurrence: $i > $o ).
tff(decl_32,type,
subactivity: ( $i * $i ) > $o ).
tff(decl_33,type,
atocc: ( $i * $i ) > $o ).
tff(decl_34,type,
leaf: ( $i * $i ) > $o ).
tff(decl_35,type,
legal: $i > $o ).
tff(decl_36,type,
earlier: ( $i * $i ) > $o ).
tff(decl_37,type,
precedes: ( $i * $i ) > $o ).
tff(decl_38,type,
next_subocc: ( $i * $i * $i ) > $o ).
tff(decl_39,type,
tptp0: $i ).
tff(decl_40,type,
tptp3: $i ).
tff(decl_41,type,
tptp4: $i ).
tff(decl_42,type,
tptp2: $i ).
tff(decl_43,type,
tptp1: $i ).
tff(decl_44,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_45,type,
esk2_2: ( $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_1: $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_2: ( $i * $i ) > $i ).
tff(decl_52,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_53,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_54,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_55,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_56,type,
esk13_1: $i > $i ).
tff(decl_57,type,
esk14_1: $i > $i ).
tff(decl_58,type,
esk15_1: $i > $i ).
tff(decl_59,type,
esk16_0: $i ).
fof(sos,axiom,
! [X1,X2] :
( ( occurrence_of(X2,X1)
& ~ atomic(X1) )
=> ? [X3] :
( root(X3,X1)
& subactivity_occurrence(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos) ).
fof(goals,conjecture,
! [X106] :
( occurrence_of(X106,tptp0)
=> ? [X107,X108] :
( occurrence_of(X107,tptp3)
& root_occ(X107,X106)
& ( occurrence_of(X108,tptp2)
| occurrence_of(X108,tptp1) )
& min_precedes(X107,X108,tptp0)
& leaf_occ(X108,X106) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(sos_34,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_34) ).
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/sandbox/benchmark/theBenchmark.p',sos_19) ).
fof(sos_08,axiom,
! [X29,X30,X31] :
( ( occurrence_of(X29,X30)
& occurrence_of(X29,X31) )
=> X30 = X31 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).
fof(sos_12,axiom,
! [X42] :
( activity_occurrence(X42)
=> ? [X43] :
( activity(X43)
& occurrence_of(X42,X43) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_12) ).
fof(sos_03,axiom,
! [X13,X14] :
( occurrence_of(X14,X13)
=> ( activity(X13)
& activity_occurrence(X14) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
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/sandbox/benchmark/theBenchmark.p',sos_29) ).
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/sandbox/benchmark/theBenchmark.p',sos_26) ).
fof(sos_32,axiom,
! [X102] :
( occurrence_of(X102,tptp0)
=> ? [X103,X104,X105] :
( occurrence_of(X103,tptp3)
& root_occ(X103,X102)
& occurrence_of(X104,tptp4)
& next_subocc(X103,X104,tptp0)
& ( occurrence_of(X105,tptp2)
| occurrence_of(X105,tptp1) )
& next_subocc(X104,X105,tptp0)
& leaf_occ(X105,X102) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
fof(sos_14,axiom,
! [X45,X46] :
( atocc(X45,X46)
<=> ? [X47] :
( subactivity(X46,X47)
& atomic(X47)
& occurrence_of(X45,X47) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_14) ).
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/sandbox/benchmark/theBenchmark.p',sos_15) ).
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/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(sos_17,axiom,
! [X54,X55] :
( root(X54,X55)
=> legal(X54) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_17) ).
fof(sos_13,axiom,
! [X44] :
( legal(X44)
=> arboreal(X44) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).
fof(sos_05,axiom,
! [X19,X20] :
( root(X20,X19)
=> ? [X21] :
( subactivity(X21,X19)
& atocc(X20,X21) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).
fof(sos_09,axiom,
! [X32,X33,X34] :
( ( occurrence_of(X32,X34)
& leaf_occ(X33,X32) )
=> ~ ? [X35] : min_precedes(X33,X35,X34) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_09) ).
fof(sos_07,axiom,
! [X26,X27] :
( ( leaf(X26,X27)
& ~ atomic(X27) )
=> ? [X28] :
( occurrence_of(X28,X27)
& leaf_occ(X26,X28) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
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/sandbox/benchmark/theBenchmark.p',sos_18) ).
fof(sos_10,axiom,
! [X36,X37,X38] :
( ( occurrence_of(X36,X38)
& root_occ(X37,X36) )
=> ~ ? [X39] : min_precedes(X39,X37,X38) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_10) ).
fof(c_0_20,plain,
! [X1,X2] :
( ( occurrence_of(X2,X1)
& ~ atomic(X1) )
=> ? [X3] :
( root(X3,X1)
& subactivity_occurrence(X3,X2) ) ),
inference(fof_simplification,[status(thm)],[sos]) ).
fof(c_0_21,negated_conjecture,
~ ! [X106] :
( occurrence_of(X106,tptp0)
=> ? [X107,X108] :
( occurrence_of(X107,tptp3)
& root_occ(X107,X106)
& ( occurrence_of(X108,tptp2)
| occurrence_of(X108,tptp1) )
& min_precedes(X107,X108,tptp0)
& leaf_occ(X108,X106) ) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_22,plain,
! [X109,X110] :
( ( root(esk1_2(X109,X110),X109)
| ~ occurrence_of(X110,X109)
| atomic(X109) )
& ( subactivity_occurrence(esk1_2(X109,X110),X110)
| ~ occurrence_of(X110,X109)
| atomic(X109) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])]) ).
fof(c_0_23,negated_conjecture,
! [X232,X233] :
( occurrence_of(esk16_0,tptp0)
& ( ~ occurrence_of(X233,tptp2)
| ~ occurrence_of(X232,tptp3)
| ~ root_occ(X232,esk16_0)
| ~ min_precedes(X232,X233,tptp0)
| ~ leaf_occ(X233,esk16_0) )
& ( ~ occurrence_of(X233,tptp1)
| ~ occurrence_of(X232,tptp3)
| ~ root_occ(X232,esk16_0)
| ~ min_precedes(X232,X233,tptp0)
| ~ leaf_occ(X233,esk16_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])])]) ).
fof(c_0_24,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_34]) ).
fof(c_0_25,plain,
! [X177,X178,X180,X181,X182] :
( ( occurrence_of(X178,esk10_2(X177,X178))
| ~ root_occ(X177,X178) )
& ( subactivity_occurrence(X177,X178)
| ~ root_occ(X177,X178) )
& ( root(X177,esk10_2(X177,X178))
| ~ root_occ(X177,X178) )
& ( ~ occurrence_of(X181,X182)
| ~ subactivity_occurrence(X180,X181)
| ~ root(X180,X182)
| root_occ(X180,X181) ) ),
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_19])])])])])]) ).
cnf(c_0_26,plain,
( subactivity_occurrence(esk1_2(X1,X2),X2)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,negated_conjecture,
occurrence_of(esk16_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,plain,
( root_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ root(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_30,negated_conjecture,
subactivity_occurrence(esk1_2(tptp0,esk16_0),esk16_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_31,plain,
( root(esk1_2(X1,X2),X1)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_32,plain,
! [X137,X138,X139] :
( ~ occurrence_of(X137,X138)
| ~ occurrence_of(X137,X139)
| X138 = X139 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_08])]) ).
fof(c_0_33,plain,
! [X150] :
( ( activity(esk5_1(X150))
| ~ activity_occurrence(X150) )
& ( occurrence_of(X150,esk5_1(X150))
| ~ activity_occurrence(X150) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_12])])])]) ).
fof(c_0_34,plain,
! [X121,X122] :
( ( activity(X121)
| ~ occurrence_of(X122,X121) )
& ( activity_occurrence(X122)
| ~ occurrence_of(X122,X121) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_03])])]) ).
fof(c_0_35,plain,
! [X216,X217,X218,X219] :
( ~ occurrence_of(X218,X219)
| ~ root_occ(X216,X218)
| ~ root_occ(X217,X218)
| X216 = X217 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_29])]) ).
cnf(c_0_36,negated_conjecture,
( root_occ(esk1_2(tptp0,esk16_0),esk16_0)
| ~ root(esk1_2(tptp0,esk16_0),X1)
| ~ occurrence_of(esk16_0,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_37,negated_conjecture,
root(esk1_2(tptp0,esk16_0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_27]),c_0_28]) ).
fof(c_0_38,plain,
! [X200,X201,X202,X203,X204,X205,X206] :
( ( min_precedes(X200,X201,X202)
| ~ next_subocc(X200,X201,X202) )
& ( ~ min_precedes(X200,X203,X202)
| ~ min_precedes(X203,X201,X202)
| ~ next_subocc(X200,X201,X202) )
& ( min_precedes(X204,esk12_3(X204,X205,X206),X206)
| ~ min_precedes(X204,X205,X206)
| next_subocc(X204,X205,X206) )
& ( min_precedes(esk12_3(X204,X205,X206),X205,X206)
| ~ min_precedes(X204,X205,X206)
| next_subocc(X204,X205,X206) ) ),
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_26])])])])])]) ).
fof(c_0_39,plain,
! [X227] :
( ( occurrence_of(esk13_1(X227),tptp3)
| ~ occurrence_of(X227,tptp0) )
& ( root_occ(esk13_1(X227),X227)
| ~ occurrence_of(X227,tptp0) )
& ( occurrence_of(esk14_1(X227),tptp4)
| ~ occurrence_of(X227,tptp0) )
& ( next_subocc(esk13_1(X227),esk14_1(X227),tptp0)
| ~ occurrence_of(X227,tptp0) )
& ( occurrence_of(esk15_1(X227),tptp2)
| occurrence_of(esk15_1(X227),tptp1)
| ~ occurrence_of(X227,tptp0) )
& ( next_subocc(esk14_1(X227),esk15_1(X227),tptp0)
| ~ occurrence_of(X227,tptp0) )
& ( leaf_occ(esk15_1(X227),X227)
| ~ occurrence_of(X227,tptp0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_32])])])]) ).
cnf(c_0_40,plain,
( X2 = X3
| ~ occurrence_of(X1,X2)
| ~ occurrence_of(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_41,plain,
( occurrence_of(X1,esk5_1(X1))
| ~ activity_occurrence(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_42,plain,
( activity_occurrence(X1)
| ~ occurrence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_43,plain,
! [X153,X154,X156,X157,X158] :
( ( subactivity(X154,esk6_2(X153,X154))
| ~ atocc(X153,X154) )
& ( atomic(esk6_2(X153,X154))
| ~ atocc(X153,X154) )
& ( occurrence_of(X153,esk6_2(X153,X154))
| ~ atocc(X153,X154) )
& ( ~ subactivity(X157,X158)
| ~ atomic(X158)
| ~ occurrence_of(X156,X158)
| atocc(X156,X157) ) ),
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_14])])])])])]) ).
cnf(c_0_44,plain,
( X3 = X4
| ~ occurrence_of(X1,X2)
| ~ root_occ(X3,X1)
| ~ root_occ(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_45,negated_conjecture,
root_occ(esk1_2(tptp0,esk16_0),esk16_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_27])]) ).
fof(c_0_46,plain,
! [X159,X160,X162,X163,X164,X165] :
( ( root(X159,X160)
| min_precedes(esk7_2(X159,X160),X159,X160)
| ~ leaf(X159,X160) )
& ( ~ min_precedes(X159,X162,X160)
| ~ leaf(X159,X160) )
& ( ~ root(X163,X164)
| min_precedes(X163,esk8_2(X163,X164),X164)
| leaf(X163,X164) )
& ( ~ min_precedes(X165,X163,X164)
| min_precedes(X163,esk8_2(X163,X164),X164)
| leaf(X163,X164) ) ),
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_15])])])])])]) ).
cnf(c_0_47,plain,
( min_precedes(X1,X2,X3)
| ~ next_subocc(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_48,plain,
( next_subocc(esk14_1(X1),esk15_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_49,plain,
! [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 ),
inference(fof_simplification,[status(thm)],[sos_02]) ).
fof(c_0_50,plain,
! [X169,X170] :
( ~ root(X169,X170)
| legal(X169) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_17])]) ).
cnf(c_0_51,plain,
( X1 = esk5_1(X2)
| ~ occurrence_of(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_52,plain,
( occurrence_of(X1,esk6_2(X1,X2))
| ~ atocc(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_53,negated_conjecture,
( X1 = esk1_2(tptp0,esk16_0)
| ~ root_occ(X1,esk16_0)
| ~ occurrence_of(esk16_0,X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_54,plain,
( root_occ(esk13_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_55,plain,
( min_precedes(X2,esk8_2(X2,X3),X3)
| leaf(X2,X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_56,plain,
( min_precedes(esk14_1(X1),esk15_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
fof(c_0_57,plain,
! [X117,X118,X119,X120] :
( ~ occurrence_of(X118,X117)
| ~ subactivity_occurrence(X119,X118)
| ~ leaf_occ(X120,X118)
| ~ arboreal(X119)
| min_precedes(X119,X120,X117)
| X120 = X119 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])]) ).
fof(c_0_58,plain,
! [X152] :
( ~ legal(X152)
| arboreal(X152) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_13])]) ).
cnf(c_0_59,plain,
( legal(X1)
| ~ root(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_60,plain,
( esk6_2(X1,X2) = esk5_1(X1)
| ~ atocc(X1,X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_61,plain,
! [X127,X128] :
( ( subactivity(esk2_2(X127,X128),X127)
| ~ root(X128,X127) )
& ( atocc(X128,esk2_2(X127,X128))
| ~ root(X128,X127) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_05])])])]) ).
cnf(c_0_62,negated_conjecture,
( esk1_2(tptp0,esk16_0) = esk13_1(esk16_0)
| ~ occurrence_of(esk16_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_27])]) ).
cnf(c_0_63,negated_conjecture,
activity_occurrence(esk16_0),
inference(spm,[status(thm)],[c_0_42,c_0_27]) ).
fof(c_0_64,plain,
! [X140,X141,X142,X143] :
( ~ occurrence_of(X140,X142)
| ~ leaf_occ(X141,X140)
| ~ min_precedes(X141,X143,X142) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_09])])]) ).
cnf(c_0_65,plain,
( leaf(esk15_1(X1),tptp0)
| min_precedes(esk15_1(X1),esk8_2(esk15_1(X1),tptp0),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_66,plain,
( min_precedes(X3,X4,X2)
| X4 = X3
| ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ leaf_occ(X4,X1)
| ~ arboreal(X3) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_67,plain,
( leaf_occ(esk15_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_68,plain,
( arboreal(X1)
| ~ legal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_69,negated_conjecture,
legal(esk1_2(tptp0,esk16_0)),
inference(spm,[status(thm)],[c_0_59,c_0_37]) ).
cnf(c_0_70,plain,
( occurrence_of(X1,esk5_1(X1))
| ~ atocc(X1,X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_60]) ).
cnf(c_0_71,plain,
( atocc(X1,esk2_2(X2,X1))
| ~ root(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_72,negated_conjecture,
esk1_2(tptp0,esk16_0) = esk13_1(esk16_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_41]),c_0_63])]) ).
fof(c_0_73,plain,
! [X26,X27] :
( ( leaf(X26,X27)
& ~ atomic(X27) )
=> ? [X28] :
( occurrence_of(X28,X27)
& leaf_occ(X26,X28) ) ),
inference(fof_simplification,[status(thm)],[sos_07]) ).
cnf(c_0_74,plain,
( ~ occurrence_of(X1,X2)
| ~ leaf_occ(X3,X1)
| ~ min_precedes(X3,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_75,negated_conjecture,
( leaf(esk15_1(esk16_0),tptp0)
| min_precedes(esk15_1(esk16_0),esk8_2(esk15_1(esk16_0),tptp0),tptp0) ),
inference(spm,[status(thm)],[c_0_65,c_0_27]) ).
cnf(c_0_76,plain,
( X1 = esk15_1(X2)
| min_precedes(X1,esk15_1(X2),X3)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ occurrence_of(X2,X3) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_77,plain,
( subactivity_occurrence(X1,X2)
| ~ root_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_78,negated_conjecture,
arboreal(esk1_2(tptp0,esk16_0)),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_79,plain,
( occurrence_of(esk13_1(X1),tptp3)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_80,plain,
( occurrence_of(X1,esk5_1(X1))
| ~ root(X1,X2) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_81,negated_conjecture,
root(esk13_1(esk16_0),tptp0),
inference(rw,[status(thm)],[c_0_37,c_0_72]) ).
fof(c_0_82,plain,
! [X134,X135] :
( ( occurrence_of(esk4_2(X134,X135),X135)
| ~ leaf(X134,X135)
| atomic(X135) )
& ( leaf_occ(X134,esk4_2(X134,X135))
| ~ leaf(X134,X135)
| atomic(X135) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_73])])])]) ).
cnf(c_0_83,negated_conjecture,
( leaf(esk15_1(esk16_0),tptp0)
| ~ leaf_occ(esk15_1(esk16_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_84,negated_conjecture,
( X1 = esk15_1(esk16_0)
| min_precedes(X1,esk15_1(esk16_0),X2)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk16_0)
| ~ occurrence_of(esk16_0,X2) ),
inference(spm,[status(thm)],[c_0_76,c_0_27]) ).
cnf(c_0_85,plain,
( subactivity_occurrence(esk13_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_77,c_0_54]) ).
cnf(c_0_86,negated_conjecture,
arboreal(esk13_1(esk16_0)),
inference(rw,[status(thm)],[c_0_78,c_0_72]) ).
cnf(c_0_87,negated_conjecture,
( X1 = tptp0
| ~ occurrence_of(esk16_0,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_27]) ).
cnf(c_0_88,plain,
( X1 = tptp3
| ~ occurrence_of(esk13_1(X2),X1)
| ~ occurrence_of(X2,tptp0) ),
inference(spm,[status(thm)],[c_0_40,c_0_79]) ).
cnf(c_0_89,negated_conjecture,
occurrence_of(esk13_1(esk16_0),esk5_1(esk13_1(esk16_0))),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
fof(c_0_90,plain,
! [X171,X172,X174,X175,X176] :
( ( occurrence_of(X172,esk9_2(X171,X172))
| ~ leaf_occ(X171,X172) )
& ( subactivity_occurrence(X171,X172)
| ~ leaf_occ(X171,X172) )
& ( leaf(X171,esk9_2(X171,X172))
| ~ leaf_occ(X171,X172) )
& ( ~ occurrence_of(X175,X176)
| ~ subactivity_occurrence(X174,X175)
| ~ leaf(X174,X176)
| leaf_occ(X174,X175) ) ),
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_18])])])])])]) ).
cnf(c_0_91,plain,
( leaf_occ(X1,esk4_2(X1,X2))
| atomic(X2)
| ~ leaf(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_92,negated_conjecture,
leaf(esk15_1(esk16_0),tptp0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_67]),c_0_27])]) ).
cnf(c_0_93,negated_conjecture,
( esk13_1(esk16_0) = esk15_1(esk16_0)
| min_precedes(esk13_1(esk16_0),esk15_1(esk16_0),X1)
| ~ occurrence_of(esk16_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]),c_0_27])]) ).
cnf(c_0_94,negated_conjecture,
esk5_1(esk16_0) = tptp0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_41]),c_0_63])]) ).
cnf(c_0_95,negated_conjecture,
esk5_1(esk13_1(esk16_0)) = tptp3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_27])]) ).
cnf(c_0_96,plain,
( subactivity_occurrence(X1,X2)
| ~ leaf_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_97,negated_conjecture,
leaf_occ(esk15_1(esk16_0),esk4_2(esk15_1(esk16_0),tptp0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_28]) ).
cnf(c_0_98,plain,
( occurrence_of(esk4_2(X1,X2),X2)
| atomic(X2)
| ~ leaf(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_99,negated_conjecture,
( ~ occurrence_of(X1,tptp1)
| ~ occurrence_of(X2,tptp3)
| ~ root_occ(X2,esk16_0)
| ~ min_precedes(X2,X1,tptp0)
| ~ leaf_occ(X1,esk16_0) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_100,negated_conjecture,
( esk13_1(esk16_0) = esk15_1(esk16_0)
| min_precedes(esk13_1(esk16_0),esk15_1(esk16_0),tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_41]),c_0_94]),c_0_63])]) ).
cnf(c_0_101,negated_conjecture,
root_occ(esk13_1(esk16_0),esk16_0),
inference(rw,[status(thm)],[c_0_45,c_0_72]) ).
cnf(c_0_102,negated_conjecture,
occurrence_of(esk13_1(esk16_0),tptp3),
inference(rw,[status(thm)],[c_0_89,c_0_95]) ).
cnf(c_0_103,negated_conjecture,
( ~ occurrence_of(X1,tptp2)
| ~ occurrence_of(X2,tptp3)
| ~ root_occ(X2,esk16_0)
| ~ min_precedes(X2,X1,tptp0)
| ~ leaf_occ(X1,esk16_0) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_104,plain,
! [X144,X145,X146,X147] :
( ~ occurrence_of(X144,X146)
| ~ root_occ(X145,X144)
| ~ min_precedes(X147,X145,X146) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_10])])]) ).
cnf(c_0_105,negated_conjecture,
subactivity_occurrence(esk15_1(esk16_0),esk4_2(esk15_1(esk16_0),tptp0)),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_106,negated_conjecture,
occurrence_of(esk4_2(esk15_1(esk16_0),tptp0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_92]),c_0_28]) ).
cnf(c_0_107,negated_conjecture,
( esk13_1(esk16_0) = esk15_1(esk16_0)
| ~ leaf_occ(esk15_1(esk16_0),esk16_0)
| ~ occurrence_of(esk15_1(esk16_0),tptp1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]),c_0_102])]) ).
cnf(c_0_108,plain,
( occurrence_of(esk15_1(X1),tptp2)
| occurrence_of(esk15_1(X1),tptp1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_109,negated_conjecture,
( esk13_1(esk16_0) = esk15_1(esk16_0)
| ~ leaf_occ(esk15_1(esk16_0),esk16_0)
| ~ occurrence_of(esk15_1(esk16_0),tptp2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_100]),c_0_101]),c_0_102])]) ).
cnf(c_0_110,plain,
( ~ occurrence_of(X1,X2)
| ~ root_occ(X3,X1)
| ~ min_precedes(X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_111,negated_conjecture,
( root_occ(esk15_1(esk16_0),esk4_2(esk15_1(esk16_0),tptp0))
| ~ root(esk15_1(esk16_0),X1)
| ~ occurrence_of(esk4_2(esk15_1(esk16_0),tptp0),X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_105]) ).
cnf(c_0_112,negated_conjecture,
esk5_1(esk4_2(esk15_1(esk16_0),tptp0)) = tptp0,
inference(spm,[status(thm)],[c_0_51,c_0_106]) ).
cnf(c_0_113,negated_conjecture,
activity_occurrence(esk4_2(esk15_1(esk16_0),tptp0)),
inference(spm,[status(thm)],[c_0_42,c_0_106]) ).
cnf(c_0_114,negated_conjecture,
( esk13_1(esk16_0) = esk15_1(esk16_0)
| ~ occurrence_of(esk15_1(esk16_0),tptp1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_67]),c_0_27])]) ).
cnf(c_0_115,negated_conjecture,
( occurrence_of(esk15_1(esk16_0),tptp1)
| occurrence_of(esk15_1(esk16_0),tptp2) ),
inference(spm,[status(thm)],[c_0_108,c_0_27]) ).
cnf(c_0_116,negated_conjecture,
( esk13_1(esk16_0) = esk15_1(esk16_0)
| ~ occurrence_of(esk15_1(esk16_0),tptp2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_67]),c_0_27])]) ).
cnf(c_0_117,plain,
( ~ root_occ(esk15_1(X1),X2)
| ~ occurrence_of(X2,tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_110,c_0_56]) ).
cnf(c_0_118,negated_conjecture,
( root_occ(esk15_1(esk16_0),esk4_2(esk15_1(esk16_0),tptp0))
| ~ root(esk15_1(esk16_0),tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_41]),c_0_112]),c_0_113])]) ).
cnf(c_0_119,negated_conjecture,
esk13_1(esk16_0) = esk15_1(esk16_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]) ).
cnf(c_0_120,negated_conjecture,
~ root(esk15_1(esk16_0),tptp0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_106]),c_0_27])]) ).
cnf(c_0_121,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_119]),c_0_120]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PRO009+4 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.17/0.34 % Computer : n014.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Mon Aug 28 19:26:45 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.21/0.57 start to proof: theBenchmark
% 0.92/0.99 % Version : CSE_E---1.5
% 0.92/0.99 % Problem : theBenchmark.p
% 0.92/0.99 % Proof found
% 0.92/0.99 % SZS status Theorem for theBenchmark.p
% 0.92/0.99 % SZS output start Proof
% See solution above
% 0.92/1.00 % Total time : 0.400000 s
% 0.92/1.00 % SZS output end Proof
% 0.92/1.00 % Total time : 0.404000 s
%------------------------------------------------------------------------------