TSTP Solution File: PRO012+4 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : PRO012+4 : 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 : n015.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 13:06:07 EDT 2023
% Result : Theorem 36.62s 36.73s
% Output : CNFRefutation 36.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 54
% Syntax : Number of formulae : 168 ( 19 unt; 38 typ; 0 def)
% Number of atoms : 435 ( 36 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 519 ( 214 ~; 226 |; 61 &)
% ( 4 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 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 : 257 ( 16 sgn; 90 !; 18 ?; 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/sandbox2/benchmark/theBenchmark.p',sos) ).
fof(goals,conjecture,
! [X107] :
( occurrence_of(X107,tptp0)
=> ? [X108,X109] :
( occurrence_of(X108,tptp3)
& root_occ(X108,X107)
& ( occurrence_of(X109,tptp2)
| occurrence_of(X109,tptp1) )
& min_precedes(X108,X109,tptp0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(sos_34,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',sos_19) ).
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/benchmark/theBenchmark.p',sos_29) ).
fof(sos_08,axiom,
! [X29,X30,X31] :
( ( occurrence_of(X29,X30)
& occurrence_of(X29,X31) )
=> X30 = X31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(sos_12,axiom,
! [X42] :
( activity_occurrence(X42)
=> ? [X43] :
( activity(X43)
& occurrence_of(X42,X43) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_12) ).
fof(sos_03,axiom,
! [X13,X14] :
( occurrence_of(X14,X13)
=> ( activity(X13)
& activity_occurrence(X14) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
fof(sos_32,axiom,
! [X102] :
( occurrence_of(X102,tptp0)
=> ? [X103,X104,X105] :
( occurrence_of(X103,tptp3)
& root_occ(X103,X102)
& occurrence_of(X104,tptp4)
& min_precedes(X103,X104,tptp0)
& ( occurrence_of(X105,tptp2)
| occurrence_of(X105,tptp1) )
& min_precedes(X104,X105,tptp0)
& ! [X106] :
( min_precedes(X103,X106,tptp0)
=> ( X106 = X104
| X106 = X105 ) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',sos_14) ).
fof(sos_05,axiom,
! [X19,X20] :
( root(X20,X19)
=> ? [X21] :
( subactivity(X21,X19)
& atocc(X20,X21) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).
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/benchmark/theBenchmark.p',sos_15) ).
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/benchmark/theBenchmark.p',sos_26) ).
fof(sos_27,axiom,
! [X83,X84,X85,X86] :
( ( min_precedes(X83,X84,X85)
& occurrence_of(X86,X85)
& subactivity_occurrence(X84,X86) )
=> subactivity_occurrence(X83,X86) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_27) ).
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/benchmark/theBenchmark.p',sos_06) ).
fof(sos_23,axiom,
! [X69,X70,X71] :
( min_precedes(X69,X70,X71)
=> ? [X72] :
( root(X72,X71)
& min_precedes(X72,X70,X71) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_23) ).
fof(c_0_16,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_17,negated_conjecture,
~ ! [X107] :
( occurrence_of(X107,tptp0)
=> ? [X108,X109] :
( occurrence_of(X108,tptp3)
& root_occ(X108,X107)
& ( occurrence_of(X109,tptp2)
| occurrence_of(X109,tptp1) )
& min_precedes(X108,X109,tptp0) ) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_18,plain,
! [X110,X111] :
( ( root(esk1_2(X110,X111),X110)
| ~ occurrence_of(X111,X110)
| atomic(X110) )
& ( subactivity_occurrence(esk1_2(X110,X111),X111)
| ~ occurrence_of(X111,X110)
| atomic(X110) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).
fof(c_0_19,negated_conjecture,
! [X234,X235] :
( occurrence_of(esk16_0,tptp0)
& ( ~ occurrence_of(X235,tptp2)
| ~ occurrence_of(X234,tptp3)
| ~ root_occ(X234,esk16_0)
| ~ min_precedes(X234,X235,tptp0) )
& ( ~ occurrence_of(X235,tptp1)
| ~ occurrence_of(X234,tptp3)
| ~ root_occ(X234,esk16_0)
| ~ min_precedes(X234,X235,tptp0) ) ),
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_17])])])])]) ).
fof(c_0_20,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_34]) ).
fof(c_0_21,plain,
! [X178,X179,X181,X182,X183] :
( ( occurrence_of(X179,esk10_2(X178,X179))
| ~ root_occ(X178,X179) )
& ( subactivity_occurrence(X178,X179)
| ~ root_occ(X178,X179) )
& ( root(X178,esk10_2(X178,X179))
| ~ root_occ(X178,X179) )
& ( ~ occurrence_of(X182,X183)
| ~ subactivity_occurrence(X181,X182)
| ~ root(X181,X183)
| root_occ(X181,X182) ) ),
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_22,plain,
( subactivity_occurrence(esk1_2(X1,X2),X2)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,negated_conjecture,
occurrence_of(esk16_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
( root_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ root(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,negated_conjecture,
subactivity_occurrence(esk1_2(tptp0,esk16_0),esk16_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_27,plain,
( root(esk1_2(X1,X2),X1)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_28,plain,
! [X217,X218,X219,X220] :
( ~ occurrence_of(X219,X220)
| ~ root_occ(X217,X219)
| ~ root_occ(X218,X219)
| X217 = X218 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_29])]) ).
cnf(c_0_29,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_25,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
root(esk1_2(tptp0,esk16_0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_23]),c_0_24]) ).
fof(c_0_31,plain,
! [X138,X139,X140] :
( ~ occurrence_of(X138,X139)
| ~ occurrence_of(X138,X140)
| X139 = X140 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_08])]) ).
fof(c_0_32,plain,
! [X151] :
( ( activity(esk5_1(X151))
| ~ activity_occurrence(X151) )
& ( occurrence_of(X151,esk5_1(X151))
| ~ activity_occurrence(X151) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_12])])])]) ).
fof(c_0_33,plain,
! [X122,X123] :
( ( activity(X122)
| ~ occurrence_of(X123,X122) )
& ( activity_occurrence(X123)
| ~ occurrence_of(X123,X122) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_03])])]) ).
cnf(c_0_34,plain,
( X3 = X4
| ~ occurrence_of(X1,X2)
| ~ root_occ(X3,X1)
| ~ root_occ(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,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_29,c_0_30]),c_0_23])]) ).
fof(c_0_36,plain,
! [X228,X232] :
( ( occurrence_of(esk13_1(X228),tptp3)
| ~ occurrence_of(X228,tptp0) )
& ( root_occ(esk13_1(X228),X228)
| ~ occurrence_of(X228,tptp0) )
& ( occurrence_of(esk14_1(X228),tptp4)
| ~ occurrence_of(X228,tptp0) )
& ( min_precedes(esk13_1(X228),esk14_1(X228),tptp0)
| ~ occurrence_of(X228,tptp0) )
& ( occurrence_of(esk15_1(X228),tptp2)
| occurrence_of(esk15_1(X228),tptp1)
| ~ occurrence_of(X228,tptp0) )
& ( min_precedes(esk14_1(X228),esk15_1(X228),tptp0)
| ~ occurrence_of(X228,tptp0) )
& ( ~ min_precedes(esk13_1(X228),X232,tptp0)
| X232 = esk14_1(X228)
| X232 = esk15_1(X228)
| ~ occurrence_of(X228,tptp0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_32])])])])]) ).
cnf(c_0_37,plain,
( X2 = X3
| ~ occurrence_of(X1,X2)
| ~ occurrence_of(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,plain,
( occurrence_of(X1,esk5_1(X1))
| ~ activity_occurrence(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_39,plain,
( activity_occurrence(X1)
| ~ occurrence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_40,plain,
! [X154,X155,X157,X158,X159] :
( ( subactivity(X155,esk6_2(X154,X155))
| ~ atocc(X154,X155) )
& ( atomic(esk6_2(X154,X155))
| ~ atocc(X154,X155) )
& ( occurrence_of(X154,esk6_2(X154,X155))
| ~ atocc(X154,X155) )
& ( ~ subactivity(X158,X159)
| ~ atomic(X159)
| ~ occurrence_of(X157,X159)
| atocc(X157,X158) ) ),
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_41,negated_conjecture,
( X1 = esk1_2(tptp0,esk16_0)
| ~ root_occ(X1,esk16_0)
| ~ occurrence_of(esk16_0,X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_42,plain,
( root_occ(esk13_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_43,plain,
( X1 = esk5_1(X2)
| ~ occurrence_of(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
cnf(c_0_44,plain,
( occurrence_of(X1,esk6_2(X1,X2))
| ~ atocc(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_45,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_41,c_0_42]),c_0_23])]) ).
cnf(c_0_46,negated_conjecture,
activity_occurrence(esk16_0),
inference(spm,[status(thm)],[c_0_39,c_0_23]) ).
cnf(c_0_47,plain,
( esk6_2(X1,X2) = esk5_1(X1)
| ~ atocc(X1,X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
fof(c_0_48,plain,
! [X128,X129] :
( ( subactivity(esk2_2(X128,X129),X128)
| ~ root(X129,X128) )
& ( atocc(X129,esk2_2(X128,X129))
| ~ root(X129,X128) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_05])])])]) ).
fof(c_0_49,plain,
! [X160,X161,X163,X164,X165,X166] :
( ( root(X160,X161)
| min_precedes(esk7_2(X160,X161),X160,X161)
| ~ leaf(X160,X161) )
& ( ~ min_precedes(X160,X163,X161)
| ~ leaf(X160,X161) )
& ( ~ root(X164,X165)
| min_precedes(X164,esk8_2(X164,X165),X165)
| leaf(X164,X165) )
& ( ~ min_precedes(X166,X164,X165)
| min_precedes(X164,esk8_2(X164,X165),X165)
| leaf(X164,X165) ) ),
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_50,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_45,c_0_38]),c_0_46])]) ).
cnf(c_0_51,plain,
( occurrence_of(X1,esk5_1(X1))
| ~ atocc(X1,X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_47]) ).
cnf(c_0_52,plain,
( atocc(X1,esk2_2(X2,X1))
| ~ root(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_53,plain,
( min_precedes(X1,esk8_2(X1,X2),X2)
| leaf(X1,X2)
| ~ root(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_54,negated_conjecture,
root(esk13_1(esk16_0),tptp0),
inference(rw,[status(thm)],[c_0_30,c_0_50]) ).
cnf(c_0_55,plain,
( occurrence_of(esk13_1(X1),tptp3)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_56,plain,
( occurrence_of(X1,esk5_1(X1))
| ~ root(X1,X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,negated_conjecture,
( ~ occurrence_of(X1,tptp1)
| ~ occurrence_of(X2,tptp3)
| ~ root_occ(X2,esk16_0)
| ~ min_precedes(X2,X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_58,negated_conjecture,
( leaf(esk13_1(esk16_0),tptp0)
| min_precedes(esk13_1(esk16_0),esk8_2(esk13_1(esk16_0),tptp0),tptp0) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_59,negated_conjecture,
root_occ(esk13_1(esk16_0),esk16_0),
inference(rw,[status(thm)],[c_0_35,c_0_50]) ).
cnf(c_0_60,plain,
( X2 = esk14_1(X1)
| X2 = esk15_1(X1)
| ~ min_precedes(esk13_1(X1),X2,tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_61,plain,
( X1 = tptp3
| ~ occurrence_of(esk13_1(X2),X1)
| ~ occurrence_of(X2,tptp0) ),
inference(spm,[status(thm)],[c_0_37,c_0_55]) ).
cnf(c_0_62,negated_conjecture,
occurrence_of(esk13_1(esk16_0),esk5_1(esk13_1(esk16_0))),
inference(spm,[status(thm)],[c_0_56,c_0_54]) ).
cnf(c_0_63,negated_conjecture,
( ~ occurrence_of(X1,tptp2)
| ~ occurrence_of(X2,tptp3)
| ~ root_occ(X2,esk16_0)
| ~ min_precedes(X2,X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_64,plain,
! [X201,X202,X203,X204,X205,X206,X207] :
( ( min_precedes(X201,X202,X203)
| ~ next_subocc(X201,X202,X203) )
& ( ~ min_precedes(X201,X204,X203)
| ~ min_precedes(X204,X202,X203)
| ~ next_subocc(X201,X202,X203) )
& ( min_precedes(X205,esk12_3(X205,X206,X207),X207)
| ~ min_precedes(X205,X206,X207)
| next_subocc(X205,X206,X207) )
& ( min_precedes(esk12_3(X205,X206,X207),X206,X207)
| ~ min_precedes(X205,X206,X207)
| next_subocc(X205,X206,X207) ) ),
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])])])])])]) ).
cnf(c_0_65,negated_conjecture,
( leaf(esk13_1(esk16_0),tptp0)
| ~ occurrence_of(esk8_2(esk13_1(esk16_0),tptp0),tptp1)
| ~ occurrence_of(esk13_1(esk16_0),tptp3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59])]) ).
cnf(c_0_66,negated_conjecture,
( esk8_2(esk13_1(esk16_0),tptp0) = esk15_1(esk16_0)
| esk8_2(esk13_1(esk16_0),tptp0) = esk14_1(esk16_0)
| leaf(esk13_1(esk16_0),tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_58]),c_0_23])]) ).
cnf(c_0_67,negated_conjecture,
esk5_1(esk13_1(esk16_0)) = tptp3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_23])]) ).
cnf(c_0_68,negated_conjecture,
( leaf(esk13_1(esk16_0),tptp0)
| ~ occurrence_of(esk8_2(esk13_1(esk16_0),tptp0),tptp2)
| ~ occurrence_of(esk13_1(esk16_0),tptp3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_58]),c_0_59])]) ).
cnf(c_0_69,plain,
( min_precedes(X1,esk12_3(X1,X2,X3),X3)
| next_subocc(X1,X2,X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_70,plain,
( min_precedes(esk13_1(X1),esk14_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_71,negated_conjecture,
( esk8_2(esk13_1(esk16_0),tptp0) = esk14_1(esk16_0)
| leaf(esk13_1(esk16_0),tptp0)
| ~ occurrence_of(esk15_1(esk16_0),tptp1)
| ~ occurrence_of(esk13_1(esk16_0),tptp3) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_72,negated_conjecture,
occurrence_of(esk13_1(esk16_0),tptp3),
inference(rw,[status(thm)],[c_0_62,c_0_67]) ).
cnf(c_0_73,plain,
( occurrence_of(esk15_1(X1),tptp2)
| occurrence_of(esk15_1(X1),tptp1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_74,negated_conjecture,
( esk8_2(esk13_1(esk16_0),tptp0) = esk14_1(esk16_0)
| leaf(esk13_1(esk16_0),tptp0)
| ~ occurrence_of(esk15_1(esk16_0),tptp2)
| ~ occurrence_of(esk13_1(esk16_0),tptp3) ),
inference(spm,[status(thm)],[c_0_68,c_0_66]) ).
cnf(c_0_75,plain,
( next_subocc(esk13_1(X1),esk14_1(X1),tptp0)
| min_precedes(esk13_1(X1),esk12_3(esk13_1(X1),esk14_1(X1),tptp0),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_76,negated_conjecture,
( esk8_2(esk13_1(esk16_0),tptp0) = esk14_1(esk16_0)
| leaf(esk13_1(esk16_0),tptp0)
| ~ occurrence_of(esk15_1(esk16_0),tptp1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_72])]) ).
cnf(c_0_77,negated_conjecture,
( occurrence_of(esk15_1(esk16_0),tptp1)
| occurrence_of(esk15_1(esk16_0),tptp2) ),
inference(spm,[status(thm)],[c_0_73,c_0_23]) ).
cnf(c_0_78,negated_conjecture,
( esk8_2(esk13_1(esk16_0),tptp0) = esk14_1(esk16_0)
| leaf(esk13_1(esk16_0),tptp0)
| ~ occurrence_of(esk15_1(esk16_0),tptp2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_72])]) ).
cnf(c_0_79,plain,
( ~ min_precedes(X1,X2,X3)
| ~ leaf(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_80,negated_conjecture,
( next_subocc(esk13_1(esk16_0),esk14_1(esk16_0),tptp0)
| min_precedes(esk13_1(esk16_0),esk12_3(esk13_1(esk16_0),esk14_1(esk16_0),tptp0),tptp0) ),
inference(spm,[status(thm)],[c_0_75,c_0_23]) ).
cnf(c_0_81,negated_conjecture,
( esk8_2(esk13_1(esk16_0),tptp0) = esk14_1(esk16_0)
| leaf(esk13_1(esk16_0),tptp0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).
fof(c_0_82,plain,
! [X209,X210,X211,X212] :
( ~ min_precedes(X209,X210,X211)
| ~ occurrence_of(X212,X211)
| ~ subactivity_occurrence(X210,X212)
| subactivity_occurrence(X209,X212) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_27])]) ).
cnf(c_0_83,plain,
( min_precedes(X1,X2,X3)
| ~ next_subocc(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_84,negated_conjecture,
( next_subocc(esk13_1(esk16_0),esk14_1(esk16_0),tptp0)
| ~ leaf(esk13_1(esk16_0),tptp0) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_85,negated_conjecture,
( leaf(esk13_1(esk16_0),tptp0)
| min_precedes(esk13_1(esk16_0),esk14_1(esk16_0),tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_81]),c_0_54])]) ).
cnf(c_0_86,plain,
( subactivity_occurrence(X1,X4)
| ~ min_precedes(X1,X2,X3)
| ~ occurrence_of(X4,X3)
| ~ subactivity_occurrence(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_87,negated_conjecture,
min_precedes(esk13_1(esk16_0),esk14_1(esk16_0),tptp0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]) ).
fof(c_0_88,plain,
! [X131,X132,X133] :
( ( occurrence_of(esk3_3(X131,X132,X133),X131)
| ~ min_precedes(X132,X133,X131) )
& ( subactivity_occurrence(X132,esk3_3(X131,X132,X133))
| ~ min_precedes(X132,X133,X131) )
& ( subactivity_occurrence(X133,esk3_3(X131,X132,X133))
| ~ min_precedes(X132,X133,X131) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_06])])])]) ).
cnf(c_0_89,negated_conjecture,
( subactivity_occurrence(esk13_1(esk16_0),X1)
| ~ subactivity_occurrence(esk14_1(esk16_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_90,plain,
( subactivity_occurrence(X1,esk3_3(X2,X3,X1))
| ~ min_precedes(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_91,plain,
( subactivity_occurrence(X1,esk3_3(X2,X1,X3))
| ~ min_precedes(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_92,negated_conjecture,
( subactivity_occurrence(esk13_1(esk16_0),esk3_3(X1,X2,esk14_1(esk16_0)))
| ~ min_precedes(X2,esk14_1(esk16_0),X1)
| ~ occurrence_of(esk3_3(X1,X2,esk14_1(esk16_0)),tptp0) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_93,plain,
( root_occ(X1,esk3_3(X2,X1,X3))
| ~ min_precedes(X1,X3,X2)
| ~ root(X1,X4)
| ~ occurrence_of(esk3_3(X2,X1,X3),X4) ),
inference(spm,[status(thm)],[c_0_25,c_0_91]) ).
cnf(c_0_94,plain,
( occurrence_of(esk3_3(X1,X2,X3),X1)
| ~ min_precedes(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_95,negated_conjecture,
( root_occ(esk13_1(esk16_0),esk3_3(X1,X2,esk14_1(esk16_0)))
| ~ min_precedes(X2,esk14_1(esk16_0),X1)
| ~ root(esk13_1(esk16_0),X3)
| ~ occurrence_of(esk3_3(X1,X2,esk14_1(esk16_0)),tptp0)
| ~ occurrence_of(esk3_3(X1,X2,esk14_1(esk16_0)),X3) ),
inference(spm,[status(thm)],[c_0_25,c_0_92]) ).
cnf(c_0_96,plain,
( occurrence_of(X1,esk10_2(X2,X1))
| ~ root_occ(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_97,plain,
! [X191,X192,X193] :
( ( root(esk11_3(X191,X192,X193),X193)
| ~ min_precedes(X191,X192,X193) )
& ( min_precedes(esk11_3(X191,X192,X193),X192,X193)
| ~ min_precedes(X191,X192,X193) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_23])])])]) ).
cnf(c_0_98,plain,
( root_occ(X1,esk3_3(X2,X1,X3))
| ~ min_precedes(X1,X3,X2)
| ~ root(X1,X2) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_99,negated_conjecture,
( root_occ(esk13_1(esk16_0),esk3_3(tptp0,X1,esk14_1(esk16_0)))
| ~ min_precedes(X1,esk14_1(esk16_0),tptp0)
| ~ root(esk13_1(esk16_0),X2)
| ~ occurrence_of(esk3_3(tptp0,X1,esk14_1(esk16_0)),X2) ),
inference(spm,[status(thm)],[c_0_95,c_0_94]) ).
cnf(c_0_100,plain,
( esk10_2(X1,X2) = esk5_1(X2)
| ~ root_occ(X1,X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_96]) ).
cnf(c_0_101,plain,
( min_precedes(esk11_3(X1,X2,X3),X2,X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_102,plain,
( X1 = X2
| ~ min_precedes(X2,X3,X4)
| ~ root_occ(X1,esk3_3(X4,X2,X3))
| ~ root(X2,X4)
| ~ occurrence_of(esk3_3(X4,X2,X3),X5) ),
inference(spm,[status(thm)],[c_0_34,c_0_98]) ).
cnf(c_0_103,negated_conjecture,
( root_occ(esk13_1(esk16_0),esk3_3(tptp0,X1,esk14_1(esk16_0)))
| ~ min_precedes(X1,esk14_1(esk16_0),tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_94]),c_0_54])]) ).
cnf(c_0_104,plain,
( occurrence_of(X1,esk5_1(X1))
| ~ root_occ(X2,X1) ),
inference(spm,[status(thm)],[c_0_96,c_0_100]) ).
cnf(c_0_105,plain,
( subactivity_occurrence(esk11_3(X1,X2,X3),X4)
| ~ min_precedes(X1,X2,X3)
| ~ subactivity_occurrence(X2,X4)
| ~ occurrence_of(X4,X3) ),
inference(spm,[status(thm)],[c_0_86,c_0_101]) ).
cnf(c_0_106,negated_conjecture,
( esk13_1(esk16_0) = X1
| ~ min_precedes(X1,esk14_1(esk16_0),tptp0)
| ~ root(X1,tptp0)
| ~ occurrence_of(esk3_3(tptp0,X1,esk14_1(esk16_0)),X2) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_107,plain,
( occurrence_of(esk3_3(X1,X2,X3),esk5_1(esk3_3(X1,X2,X3)))
| ~ min_precedes(X2,X3,X1)
| ~ root(X2,X1) ),
inference(spm,[status(thm)],[c_0_104,c_0_98]) ).
cnf(c_0_108,plain,
( root_occ(esk11_3(X1,X2,X3),X4)
| ~ min_precedes(X1,X2,X3)
| ~ subactivity_occurrence(X2,X4)
| ~ root(esk11_3(X1,X2,X3),X5)
| ~ occurrence_of(X4,X5)
| ~ occurrence_of(X4,X3) ),
inference(spm,[status(thm)],[c_0_25,c_0_105]) ).
cnf(c_0_109,plain,
( root(esk11_3(X1,X2,X3),X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_110,negated_conjecture,
( esk13_1(esk16_0) = X1
| ~ min_precedes(X1,esk14_1(esk16_0),tptp0)
| ~ root(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_111,plain,
( root_occ(esk11_3(X1,X2,X3),X4)
| ~ min_precedes(X1,X2,X3)
| ~ subactivity_occurrence(X2,X4)
| ~ occurrence_of(X4,X3) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_112,negated_conjecture,
( esk11_3(X1,esk14_1(esk16_0),tptp0) = esk13_1(esk16_0)
| ~ min_precedes(X1,esk14_1(esk16_0),tptp0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_101]),c_0_109]) ).
cnf(c_0_113,negated_conjecture,
( root_occ(esk13_1(esk16_0),X1)
| ~ min_precedes(X2,esk14_1(esk16_0),tptp0)
| ~ subactivity_occurrence(esk14_1(esk16_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_114,plain,
( min_precedes(esk14_1(X1),esk15_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_115,negated_conjecture,
( root_occ(esk13_1(esk16_0),X1)
| ~ subactivity_occurrence(esk14_1(esk16_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_113,c_0_87]) ).
cnf(c_0_116,plain,
( subactivity_occurrence(esk14_1(X1),X2)
| ~ subactivity_occurrence(esk15_1(X1),X2)
| ~ occurrence_of(X2,tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_86,c_0_114]) ).
cnf(c_0_117,negated_conjecture,
( esk13_1(esk16_0) = X1
| ~ min_precedes(X1,X2,X3)
| ~ subactivity_occurrence(esk14_1(esk16_0),esk3_3(X3,X1,X2))
| ~ root(X1,X3)
| ~ occurrence_of(esk3_3(X3,X1,X2),tptp0)
| ~ occurrence_of(esk3_3(X3,X1,X2),X4) ),
inference(spm,[status(thm)],[c_0_102,c_0_115]) ).
cnf(c_0_118,plain,
( subactivity_occurrence(esk14_1(X1),esk3_3(X2,X3,esk15_1(X1)))
| ~ min_precedes(X3,esk15_1(X1),X2)
| ~ occurrence_of(esk3_3(X2,X3,esk15_1(X1)),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_116,c_0_90]) ).
cnf(c_0_119,negated_conjecture,
( esk13_1(esk16_0) = X1
| ~ min_precedes(X1,esk15_1(esk16_0),X2)
| ~ root(X1,X2)
| ~ occurrence_of(esk3_3(X2,X1,esk15_1(esk16_0)),tptp0)
| ~ occurrence_of(esk3_3(X2,X1,esk15_1(esk16_0)),X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_23])]) ).
cnf(c_0_120,negated_conjecture,
( esk13_1(esk16_0) = X1
| ~ min_precedes(X1,esk15_1(esk16_0),tptp0)
| ~ root(X1,tptp0)
| ~ occurrence_of(esk3_3(tptp0,X1,esk15_1(esk16_0)),X2) ),
inference(spm,[status(thm)],[c_0_119,c_0_94]) ).
cnf(c_0_121,negated_conjecture,
( esk13_1(esk16_0) = X1
| ~ min_precedes(X1,esk15_1(esk16_0),tptp0)
| ~ root(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_120,c_0_107]) ).
cnf(c_0_122,negated_conjecture,
( ~ min_precedes(X1,X2,tptp0)
| ~ root_occ(esk11_3(X1,X2,tptp0),esk16_0)
| ~ occurrence_of(esk11_3(X1,X2,tptp0),tptp3)
| ~ occurrence_of(X2,tptp2) ),
inference(spm,[status(thm)],[c_0_63,c_0_101]) ).
cnf(c_0_123,negated_conjecture,
( esk11_3(X1,esk15_1(esk16_0),tptp0) = esk13_1(esk16_0)
| ~ min_precedes(X1,esk15_1(esk16_0),tptp0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_101]),c_0_109]) ).
cnf(c_0_124,negated_conjecture,
( ~ min_precedes(X1,esk15_1(esk16_0),tptp0)
| ~ 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_122,c_0_123]),c_0_59]),c_0_72])]) ).
cnf(c_0_125,negated_conjecture,
~ occurrence_of(esk15_1(esk16_0),tptp2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_114]),c_0_23])]) ).
cnf(c_0_126,negated_conjecture,
( ~ min_precedes(X1,X2,tptp0)
| ~ root_occ(esk11_3(X1,X2,tptp0),esk16_0)
| ~ occurrence_of(esk11_3(X1,X2,tptp0),tptp3)
| ~ occurrence_of(X2,tptp1) ),
inference(spm,[status(thm)],[c_0_57,c_0_101]) ).
cnf(c_0_127,negated_conjecture,
occurrence_of(esk15_1(esk16_0),tptp1),
inference(sr,[status(thm)],[c_0_77,c_0_125]) ).
cnf(c_0_128,negated_conjecture,
~ min_precedes(X1,esk15_1(esk16_0),tptp0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_123]),c_0_59]),c_0_72])]),c_0_127])]) ).
cnf(c_0_129,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_114]),c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : PRO012+4 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.33 % Computer : n015.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Aug 28 19:53:40 EDT 2023
% 0.18/0.33 % CPUTime :
% 0.18/0.57 start to proof: theBenchmark
% 36.62/36.73 % Version : CSE_E---1.5
% 36.62/36.73 % Problem : theBenchmark.p
% 36.62/36.73 % Proof found
% 36.62/36.73 % SZS status Theorem for theBenchmark.p
% 36.62/36.73 % SZS output start Proof
% See solution above
% 36.62/36.74 % Total time : 36.116000 s
% 36.62/36.74 % SZS output end Proof
% 36.62/36.74 % Total time : 36.123000 s
%------------------------------------------------------------------------------