TSTP Solution File: PRO003+4 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : PRO003+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 : n003.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 13:05:59 EDT 2023
% Result : Theorem 8.03s 8.07s
% Output : CNFRefutation 8.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 59
% Syntax : Number of formulae : 164 ( 33 unt; 38 typ; 0 def)
% Number of atoms : 391 ( 30 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 446 ( 181 ~; 181 |; 63 &)
% ( 5 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 5 ( 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 : 248 ( 10 sgn; 107 !; 17 ?; 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,
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_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_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_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/benchmark/theBenchmark.p',sos_32) ).
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(goals,conjecture,
~ ? [X108] : occurrence_of(X108,tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
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(sos_34,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).
fof(sos_09,axiom,
! [X32,X33,X34] :
( ( occurrence_of(X32,X34)
& leaf_occ(X33,X32) )
=> ~ ? [X35] : min_precedes(X33,X35,X34) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_09) ).
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_07,axiom,
! [X26,X27] :
( ( leaf(X26,X27)
& ~ atomic(X27) )
=> ? [X28] :
( occurrence_of(X28,X27)
& leaf_occ(X26,X28) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
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_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_18,axiom,
! [X56,X57] :
( leaf_occ(X56,X57)
<=> ? [X58] :
( occurrence_of(X57,X58)
& subactivity_occurrence(X56,X57)
& leaf(X56,X58) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_18) ).
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_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/benchmark/theBenchmark.p',sos_02) ).
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/benchmark/theBenchmark.p',sos_45) ).
fof(sos_16,axiom,
! [X52,X53] :
( occurrence_of(X52,X53)
=> ( arboreal(X52)
<=> atomic(X53) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_16) ).
fof(sos_38,axiom,
atomic(tptp1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_38) ).
fof(sos_42,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_42) ).
fof(c_0_21,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_22,plain,
! [X227] :
( ( occurrence_of(esk13_1(X227),tptp4)
| ~ occurrence_of(X227,tptp0) )
& ( root_occ(esk13_1(X227),X227)
| ~ occurrence_of(X227,tptp0) )
& ( occurrence_of(esk14_1(X227),tptp3)
| ~ occurrence_of(X227,tptp0) )
& ( leaf_occ(esk14_1(X227),X227)
| ~ occurrence_of(X227,tptp0) )
& ( next_subocc(esk13_1(X227),esk14_1(X227),tptp0)
| ~ occurrence_of(X227,tptp0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_32])])])]) ).
fof(c_0_23,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_24,plain,
( min_precedes(X1,X2,X3)
| ~ next_subocc(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,plain,
( next_subocc(esk13_1(X1),esk14_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_26,negated_conjecture,
~ ~ ? [X108] : occurrence_of(X108,tptp0),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_27,plain,
! [X1,X2] :
( ( occurrence_of(X2,X1)
& ~ atomic(X1) )
=> ? [X3] :
( root(X3,X1)
& subactivity_occurrence(X3,X2) ) ),
inference(fof_simplification,[status(thm)],[sos]) ).
cnf(c_0_28,plain,
( min_precedes(X2,esk8_2(X2,X3),X3)
| leaf(X2,X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,plain,
( min_precedes(esk13_1(X1),esk14_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
fof(c_0_30,negated_conjecture,
occurrence_of(esk16_0,tptp0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
fof(c_0_31,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_27])])])]) ).
fof(c_0_32,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_34]) ).
fof(c_0_33,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_34,plain,
( leaf(esk14_1(X1),tptp0)
| min_precedes(esk14_1(X1),esk8_2(esk14_1(X1),tptp0),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_35,negated_conjecture,
occurrence_of(esk16_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_36,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_37,plain,
( subactivity_occurrence(esk1_2(X1,X2),X2)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_39,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_40,plain,
( ~ occurrence_of(X1,X2)
| ~ leaf_occ(X3,X1)
| ~ min_precedes(X3,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_41,negated_conjecture,
( leaf(esk14_1(esk16_0),tptp0)
| min_precedes(esk14_1(esk16_0),esk8_2(esk14_1(esk16_0),tptp0),tptp0) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_42,plain,
( root_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ root(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_43,negated_conjecture,
subactivity_occurrence(esk1_2(tptp0,esk16_0),esk16_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_35]),c_0_38]) ).
cnf(c_0_44,plain,
( root(esk1_2(X1,X2),X1)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_45,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_39])])])]) ).
cnf(c_0_46,negated_conjecture,
( leaf(esk14_1(esk16_0),tptp0)
| ~ leaf_occ(esk14_1(esk16_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_47,plain,
( leaf_occ(esk14_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_48,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_49,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_42,c_0_43]) ).
cnf(c_0_50,negated_conjecture,
root(esk1_2(tptp0,esk16_0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_35]),c_0_38]) ).
fof(c_0_51,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_52,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_53,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_54,plain,
! [X208,X209,X210,X211] :
( ~ min_precedes(X208,X209,X210)
| ~ occurrence_of(X211,X210)
| ~ subactivity_occurrence(X209,X211)
| subactivity_occurrence(X208,X211) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_27])]) ).
fof(c_0_55,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_56,plain,
( leaf_occ(X1,esk4_2(X1,X2))
| atomic(X2)
| ~ leaf(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_57,negated_conjecture,
leaf(esk14_1(esk16_0),tptp0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_35])]) ).
cnf(c_0_58,plain,
( X3 = X4
| ~ occurrence_of(X1,X2)
| ~ root_occ(X3,X1)
| ~ root_occ(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_59,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_49,c_0_50]),c_0_35])]) ).
fof(c_0_60,plain,
! [X130,X131,X132] :
( ( occurrence_of(esk3_3(X130,X131,X132),X130)
| ~ min_precedes(X131,X132,X130) )
& ( subactivity_occurrence(X131,esk3_3(X130,X131,X132))
| ~ min_precedes(X131,X132,X130) )
& ( subactivity_occurrence(X132,esk3_3(X130,X131,X132))
| ~ min_precedes(X131,X132,X130) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_06])])])]) ).
cnf(c_0_61,plain,
( X2 = X3
| ~ occurrence_of(X1,X2)
| ~ occurrence_of(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_62,plain,
( occurrence_of(X1,esk5_1(X1))
| ~ activity_occurrence(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_63,plain,
( activity_occurrence(X1)
| ~ occurrence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
fof(c_0_64,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]) ).
cnf(c_0_65,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_54]) ).
cnf(c_0_66,plain,
( subactivity_occurrence(X1,X2)
| ~ leaf_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_67,negated_conjecture,
leaf_occ(esk14_1(esk16_0),esk4_2(esk14_1(esk16_0),tptp0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_38]) ).
cnf(c_0_68,plain,
( occurrence_of(esk4_2(X1,X2),X2)
| atomic(X2)
| ~ leaf(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_69,negated_conjecture,
( X1 = esk1_2(tptp0,esk16_0)
| ~ root_occ(X1,esk16_0)
| ~ occurrence_of(esk16_0,X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_70,plain,
( root_occ(esk13_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_71,plain,
( subactivity_occurrence(X1,esk3_3(X2,X1,X3))
| ~ min_precedes(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_72,plain,
( X1 = esk5_1(X2)
| ~ occurrence_of(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]) ).
cnf(c_0_73,plain,
( occurrence_of(X1,esk10_2(X2,X1))
| ~ root_occ(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_74,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_64])]) ).
cnf(c_0_75,plain,
( subactivity_occurrence(esk13_1(X1),X2)
| ~ subactivity_occurrence(esk14_1(X1),X2)
| ~ occurrence_of(X2,tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_65,c_0_29]) ).
cnf(c_0_76,negated_conjecture,
subactivity_occurrence(esk14_1(esk16_0),esk4_2(esk14_1(esk16_0),tptp0)),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_77,negated_conjecture,
occurrence_of(esk4_2(esk14_1(esk16_0),tptp0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_57]),c_0_38]) ).
cnf(c_0_78,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_69,c_0_70]),c_0_35])]) ).
cnf(c_0_79,negated_conjecture,
activity_occurrence(esk16_0),
inference(spm,[status(thm)],[c_0_63,c_0_35]) ).
cnf(c_0_80,plain,
( X1 = esk13_1(X2)
| ~ root_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ occurrence_of(X2,X3) ),
inference(spm,[status(thm)],[c_0_58,c_0_70]) ).
cnf(c_0_81,plain,
( occurrence_of(esk3_3(X1,X2,X3),X1)
| ~ min_precedes(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_82,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_42,c_0_71]) ).
cnf(c_0_83,plain,
( esk10_2(X1,X2) = esk5_1(X2)
| ~ root_occ(X1,X2) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_84,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_74]) ).
fof(c_0_85,plain,
! [X230,X231] :
( ( occurrence_of(esk15_1(X230),tptp1)
| ~ occurrence_of(X231,tptp0)
| ~ root_occ(X230,X231) )
& ( next_subocc(X230,esk15_1(X230),tptp0)
| ~ occurrence_of(X231,tptp0)
| ~ root_occ(X230,X231) ) ),
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_45])])])])])]) ).
cnf(c_0_86,negated_conjecture,
subactivity_occurrence(esk13_1(esk16_0),esk4_2(esk14_1(esk16_0),tptp0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]),c_0_35])]) ).
cnf(c_0_87,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_78,c_0_62]),c_0_79])]) ).
cnf(c_0_88,plain,
( X1 = esk13_1(esk3_3(tptp0,X2,X3))
| ~ min_precedes(X2,X3,tptp0)
| ~ root_occ(X1,esk3_3(tptp0,X2,X3))
| ~ occurrence_of(esk3_3(tptp0,X2,X3),X4) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_89,plain,
( root_occ(X1,esk3_3(X2,X1,X3))
| ~ min_precedes(X1,X3,X2)
| ~ root(X1,X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_81]) ).
cnf(c_0_90,plain,
( occurrence_of(X1,esk5_1(X1))
| ~ root_occ(X2,X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_83]) ).
cnf(c_0_91,plain,
( X1 = esk14_1(X2)
| min_precedes(X1,esk14_1(X2),X3)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ occurrence_of(X2,X3) ),
inference(spm,[status(thm)],[c_0_84,c_0_47]) ).
cnf(c_0_92,plain,
( next_subocc(X1,esk15_1(X1),tptp0)
| ~ occurrence_of(X2,tptp0)
| ~ root_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_93,negated_conjecture,
( root_occ(esk13_1(esk16_0),esk4_2(esk14_1(esk16_0),tptp0))
| ~ root(esk13_1(esk16_0),X1)
| ~ occurrence_of(esk4_2(esk14_1(esk16_0),tptp0),X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_86]) ).
cnf(c_0_94,negated_conjecture,
esk5_1(esk4_2(esk14_1(esk16_0),tptp0)) = tptp0,
inference(spm,[status(thm)],[c_0_72,c_0_77]) ).
cnf(c_0_95,negated_conjecture,
root(esk13_1(esk16_0),tptp0),
inference(rw,[status(thm)],[c_0_50,c_0_87]) ).
cnf(c_0_96,negated_conjecture,
activity_occurrence(esk4_2(esk14_1(esk16_0),tptp0)),
inference(spm,[status(thm)],[c_0_63,c_0_77]) ).
cnf(c_0_97,plain,
( occurrence_of(esk15_1(X1),tptp1)
| ~ occurrence_of(X2,tptp0)
| ~ root_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_98,plain,
( esk13_1(esk3_3(tptp0,X1,X2)) = X1
| ~ min_precedes(X1,X2,tptp0)
| ~ root(X1,tptp0)
| ~ occurrence_of(esk3_3(tptp0,X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_99,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_90,c_0_89]) ).
cnf(c_0_100,plain,
( X1 = esk14_1(esk3_3(tptp0,X2,X3))
| min_precedes(X1,esk14_1(esk3_3(tptp0,X2,X3)),X4)
| ~ arboreal(X1)
| ~ min_precedes(X2,X3,tptp0)
| ~ subactivity_occurrence(X1,esk3_3(tptp0,X2,X3))
| ~ occurrence_of(esk3_3(tptp0,X2,X3),X4) ),
inference(spm,[status(thm)],[c_0_91,c_0_81]) ).
cnf(c_0_101,plain,
( subactivity_occurrence(X1,esk3_3(X2,X3,X1))
| ~ min_precedes(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_102,negated_conjecture,
( next_subocc(X1,esk15_1(X1),tptp0)
| ~ root_occ(X1,esk4_2(esk14_1(esk16_0),tptp0)) ),
inference(spm,[status(thm)],[c_0_92,c_0_77]) ).
cnf(c_0_103,negated_conjecture,
root_occ(esk13_1(esk16_0),esk4_2(esk14_1(esk16_0),tptp0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_62]),c_0_94]),c_0_95]),c_0_96])]) ).
fof(c_0_104,plain,
! [X167,X168] :
( ( ~ arboreal(X167)
| atomic(X168)
| ~ occurrence_of(X167,X168) )
& ( ~ atomic(X168)
| arboreal(X167)
| ~ occurrence_of(X167,X168) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_16])])]) ).
cnf(c_0_105,negated_conjecture,
( occurrence_of(esk15_1(X1),tptp1)
| ~ root_occ(X1,esk4_2(esk14_1(esk16_0),tptp0)) ),
inference(spm,[status(thm)],[c_0_97,c_0_77]) ).
cnf(c_0_106,plain,
( esk13_1(esk3_3(tptp0,X1,X2)) = X1
| ~ min_precedes(X1,X2,tptp0)
| ~ root(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_107,plain,
( esk14_1(esk3_3(tptp0,X1,X2)) = X2
| min_precedes(X2,esk14_1(esk3_3(tptp0,X1,X2)),X3)
| ~ arboreal(X2)
| ~ min_precedes(X1,X2,tptp0)
| ~ occurrence_of(esk3_3(tptp0,X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_108,negated_conjecture,
next_subocc(esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)),tptp0),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_109,plain,
( arboreal(X2)
| ~ atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_110,negated_conjecture,
occurrence_of(esk15_1(esk13_1(esk16_0)),tptp1),
inference(spm,[status(thm)],[c_0_105,c_0_103]) ).
cnf(c_0_111,plain,
atomic(tptp1),
inference(split_conjunct,[status(thm)],[sos_38]) ).
cnf(c_0_112,plain,
( ~ min_precedes(X1,X2,X3)
| ~ min_precedes(X2,X4,X3)
| ~ next_subocc(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_113,plain,
( next_subocc(X1,esk14_1(esk3_3(tptp0,X1,X2)),tptp0)
| ~ min_precedes(X1,X2,tptp0)
| ~ root(X1,tptp0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_106]),c_0_81]) ).
cnf(c_0_114,plain,
( esk14_1(esk3_3(tptp0,X1,X2)) = X2
| min_precedes(X2,esk14_1(esk3_3(tptp0,X1,X2)),tptp0)
| ~ arboreal(X2)
| ~ min_precedes(X1,X2,tptp0) ),
inference(spm,[status(thm)],[c_0_107,c_0_81]) ).
cnf(c_0_115,negated_conjecture,
min_precedes(esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)),tptp0),
inference(spm,[status(thm)],[c_0_24,c_0_108]) ).
cnf(c_0_116,negated_conjecture,
arboreal(esk15_1(esk13_1(esk16_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111])]) ).
cnf(c_0_117,plain,
( occurrence_of(esk14_1(X1),tptp3)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_118,plain,
( ~ min_precedes(X1,esk14_1(esk3_3(tptp0,X2,X3)),tptp0)
| ~ min_precedes(X2,X1,tptp0)
| ~ min_precedes(X2,X3,tptp0)
| ~ root(X2,tptp0) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_119,negated_conjecture,
( esk14_1(esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))) = esk15_1(esk13_1(esk16_0))
| min_precedes(esk15_1(esk13_1(esk16_0)),esk14_1(esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))),tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116])]) ).
cnf(c_0_120,plain,
( esk5_1(esk14_1(X1)) = tptp3
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_72,c_0_117]) ).
cnf(c_0_121,negated_conjecture,
esk14_1(esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))) = esk15_1(esk13_1(esk16_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_115]),c_0_95])]) ).
cnf(c_0_122,negated_conjecture,
esk5_1(esk15_1(esk13_1(esk16_0))) = tptp1,
inference(spm,[status(thm)],[c_0_72,c_0_110]) ).
cnf(c_0_123,plain,
tptp1 != tptp3,
inference(split_conjunct,[status(thm)],[sos_42]) ).
cnf(c_0_124,negated_conjecture,
~ occurrence_of(esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0))),tptp0),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122]),c_0_123]) ).
cnf(c_0_125,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_81]),c_0_115])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PRO003+4 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 19:18:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.46/0.59 start to proof: theBenchmark
% 8.03/8.07 % Version : CSE_E---1.5
% 8.03/8.07 % Problem : theBenchmark.p
% 8.03/8.07 % Proof found
% 8.03/8.07 % SZS status Theorem for theBenchmark.p
% 8.03/8.07 % SZS output start Proof
% See solution above
% 8.03/8.08 % Total time : 7.471000 s
% 8.03/8.08 % SZS output end Proof
% 8.03/8.08 % Total time : 7.475000 s
%------------------------------------------------------------------------------