TSTP Solution File: PRO003+2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : PRO003+2 : 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 : n007.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 13:05:58 EDT 2023
% Result : Theorem 2.25s 2.34s
% Output : CNFRefutation 2.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 58
% Syntax : Number of formulae : 151 ( 47 unt; 40 typ; 0 def)
% Number of atoms : 294 ( 24 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 306 ( 123 ~; 121 |; 47 &)
% ( 4 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 65 ( 34 >; 31 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 6 con; 0-3 aty)
% Number of variables : 155 ( 6 sgn; 74 !; 12 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
min_precedes: ( $i * $i * $i ) > $o ).
tff(decl_23,type,
earlier: ( $i * $i ) > $o ).
tff(decl_24,type,
occurrence_of: ( $i * $i ) > $o ).
tff(decl_25,type,
root_occ: ( $i * $i ) > $o ).
tff(decl_26,type,
atomic: $i > $o ).
tff(decl_27,type,
leaf_occ: ( $i * $i ) > $o ).
tff(decl_28,type,
next_subocc: ( $i * $i * $i ) > $o ).
tff(decl_29,type,
arboreal: $i > $o ).
tff(decl_30,type,
precedes: ( $i * $i ) > $o ).
tff(decl_31,type,
root: ( $i * $i ) > $o ).
tff(decl_32,type,
legal: $i > $o ).
tff(decl_33,type,
subactivity_occurrence: ( $i * $i ) > $o ).
tff(decl_34,type,
leaf: ( $i * $i ) > $o ).
tff(decl_35,type,
atocc: ( $i * $i ) > $o ).
tff(decl_36,type,
subactivity: ( $i * $i ) > $o ).
tff(decl_37,type,
activity_occurrence: $i > $o ).
tff(decl_38,type,
activity: $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_3: ( $i * $i * $i ) > $i ).
tff(decl_45,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_46,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_47,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_48,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_49,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_50,type,
esk7_1: $i > $i ).
tff(decl_51,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_52,type,
esk9_3: ( $i * $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_2: ( $i * $i ) > $i ).
tff(decl_57,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_58,type,
esk15_1: $i > $i ).
tff(decl_59,type,
esk16_1: $i > $i ).
tff(decl_60,type,
esk17_1: $i > $i ).
tff(decl_61,type,
esk18_0: $i ).
fof(sos_30,axiom,
! [X92,X93] :
( ( occurrence_of(X93,X92)
& ~ atomic(X92) )
=> ? [X94] :
( root(X94,X92)
& subactivity_occurrence(X94,X93) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_30) ).
fof(goals,conjecture,
~ ? [X102] : occurrence_of(X102,tptp0),
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_10,axiom,
! [X33,X34] :
( root_occ(X33,X34)
<=> ? [X35] :
( occurrence_of(X34,X35)
& subactivity_occurrence(X33,X34)
& root(X33,X35) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_10) ).
fof(sos_45,axiom,
! [X99,X100] :
( ( occurrence_of(X100,tptp0)
& root_occ(X99,X100) )
=> ? [X101] :
( occurrence_of(X101,tptp1)
& next_subocc(X99,X101,tptp0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_45) ).
fof(sos_32,axiom,
! [X96] :
( occurrence_of(X96,tptp0)
=> ? [X97,X98] :
( occurrence_of(X97,tptp4)
& root_occ(X97,X96)
& occurrence_of(X98,tptp3)
& leaf_occ(X98,X96)
& next_subocc(X97,X98,tptp0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
fof(sos_02,axiom,
! [X8,X9,X10,X11] :
( ( occurrence_of(X10,X11)
& root_occ(X8,X10)
& root_occ(X9,X10) )
=> X8 = X9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(sos_04,axiom,
! [X16,X17,X18] :
( next_subocc(X16,X17,X18)
<=> ( min_precedes(X16,X17,X18)
& ~ ? [X19] :
( min_precedes(X16,X19,X18)
& min_precedes(X19,X17,X18) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
fof(sos_24,axiom,
! [X71,X72,X73] :
( min_precedes(X72,X73,X71)
=> ? [X74] :
( occurrence_of(X74,X71)
& subactivity_occurrence(X72,X74)
& subactivity_occurrence(X73,X74) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_24) ).
fof(sos_13,axiom,
! [X41,X42] :
( occurrence_of(X41,X42)
=> ( arboreal(X41)
<=> atomic(X42) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).
fof(sos_29,axiom,
! [X90,X91] :
( occurrence_of(X91,X90)
=> ( activity(X90)
& activity_occurrence(X91) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_29) ).
fof(sos_28,axiom,
! [X86,X87,X88,X89] :
( ( occurrence_of(X87,X86)
& arboreal(X88)
& arboreal(X89)
& subactivity_occurrence(X88,X87)
& subactivity_occurrence(X89,X87) )
=> ( min_precedes(X88,X89,X86)
| min_precedes(X89,X88,X86)
| X88 = X89 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_28) ).
fof(sos_38,axiom,
atomic(tptp1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_38) ).
fof(sos_11,axiom,
! [X36,X37] :
( leaf_occ(X36,X37)
<=> ? [X38] :
( occurrence_of(X37,X38)
& subactivity_occurrence(X36,X37)
& leaf(X36,X38) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_11) ).
fof(sos_22,axiom,
! [X65,X66,X67] :
( ( occurrence_of(X65,X66)
& occurrence_of(X65,X67) )
=> X66 = X67 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).
fof(sos_18,axiom,
! [X53] :
( activity_occurrence(X53)
=> ? [X54] :
( activity(X54)
& occurrence_of(X53,X54) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_18) ).
fof(sos_36,axiom,
atomic(tptp3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_36) ).
fof(sos_42,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_42) ).
fof(c_0_18,plain,
! [X92,X93] :
( ( occurrence_of(X93,X92)
& ~ atomic(X92) )
=> ? [X94] :
( root(X94,X92)
& subactivity_occurrence(X94,X93) ) ),
inference(fof_simplification,[status(thm)],[sos_30]) ).
fof(c_0_19,negated_conjecture,
~ ~ ? [X102] : occurrence_of(X102,tptp0),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_20,plain,
! [X211,X212] :
( ( root(esk14_2(X211,X212),X211)
| ~ occurrence_of(X212,X211)
| atomic(X211) )
& ( subactivity_occurrence(esk14_2(X211,X212),X212)
| ~ occurrence_of(X212,X211)
| atomic(X211) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).
fof(c_0_21,negated_conjecture,
occurrence_of(esk18_0,tptp0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
fof(c_0_22,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_34]) ).
fof(c_0_23,plain,
! [X139,X140,X142,X143,X144] :
( ( occurrence_of(X140,esk2_2(X139,X140))
| ~ root_occ(X139,X140) )
& ( subactivity_occurrence(X139,X140)
| ~ root_occ(X139,X140) )
& ( root(X139,esk2_2(X139,X140))
| ~ root_occ(X139,X140) )
& ( ~ occurrence_of(X143,X144)
| ~ subactivity_occurrence(X142,X143)
| ~ root(X142,X144)
| root_occ(X142,X143) ) ),
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_10])])])])])]) ).
cnf(c_0_24,plain,
( subactivity_occurrence(esk14_2(X1,X2),X2)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,negated_conjecture,
occurrence_of(esk18_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_27,plain,
! [X218,X219] :
( ( occurrence_of(esk17_1(X218),tptp1)
| ~ occurrence_of(X219,tptp0)
| ~ root_occ(X218,X219) )
& ( next_subocc(X218,esk17_1(X218),tptp0)
| ~ occurrence_of(X219,tptp0)
| ~ root_occ(X218,X219) ) ),
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])])])])])]) ).
fof(c_0_28,plain,
! [X215] :
( ( occurrence_of(esk15_1(X215),tptp4)
| ~ occurrence_of(X215,tptp0) )
& ( root_occ(esk15_1(X215),X215)
| ~ occurrence_of(X215,tptp0) )
& ( occurrence_of(esk16_1(X215),tptp3)
| ~ occurrence_of(X215,tptp0) )
& ( leaf_occ(esk16_1(X215),X215)
| ~ occurrence_of(X215,tptp0) )
& ( next_subocc(esk15_1(X215),esk16_1(X215),tptp0)
| ~ occurrence_of(X215,tptp0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_32])])])]) ).
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_23]) ).
cnf(c_0_30,negated_conjecture,
subactivity_occurrence(esk14_2(tptp0,esk18_0),esk18_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_31,plain,
( root(esk14_2(X1,X2),X1)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_32,plain,
( next_subocc(X1,esk17_1(X1),tptp0)
| ~ occurrence_of(X2,tptp0)
| ~ root_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,plain,
( root_occ(esk15_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_34,plain,
! [X110,X111,X112,X113] :
( ~ occurrence_of(X112,X113)
| ~ root_occ(X110,X112)
| ~ root_occ(X111,X112)
| X110 = X111 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_02])]) ).
cnf(c_0_35,negated_conjecture,
( root_occ(esk14_2(tptp0,esk18_0),esk18_0)
| ~ root(esk14_2(tptp0,esk18_0),X1)
| ~ occurrence_of(esk18_0,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_36,negated_conjecture,
root(esk14_2(tptp0,esk18_0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_25]),c_0_26]) ).
fof(c_0_37,plain,
! [X118,X119,X120,X121,X122,X123,X124] :
( ( min_precedes(X118,X119,X120)
| ~ next_subocc(X118,X119,X120) )
& ( ~ min_precedes(X118,X121,X120)
| ~ min_precedes(X121,X119,X120)
| ~ next_subocc(X118,X119,X120) )
& ( min_precedes(X122,esk1_3(X122,X123,X124),X124)
| ~ min_precedes(X122,X123,X124)
| next_subocc(X122,X123,X124) )
& ( min_precedes(esk1_3(X122,X123,X124),X123,X124)
| ~ min_precedes(X122,X123,X124)
| next_subocc(X122,X123,X124) ) ),
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_04])])])])])]) ).
cnf(c_0_38,negated_conjecture,
( next_subocc(X1,esk17_1(X1),tptp0)
| ~ root_occ(X1,esk18_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_25]) ).
cnf(c_0_39,negated_conjecture,
root_occ(esk15_1(esk18_0),esk18_0),
inference(spm,[status(thm)],[c_0_33,c_0_25]) ).
cnf(c_0_40,plain,
( X3 = X4
| ~ occurrence_of(X1,X2)
| ~ root_occ(X3,X1)
| ~ root_occ(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,negated_conjecture,
root_occ(esk14_2(tptp0,esk18_0),esk18_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_25]),c_0_36])]) ).
fof(c_0_42,plain,
! [X190,X191,X192] :
( ( occurrence_of(esk9_3(X190,X191,X192),X190)
| ~ min_precedes(X191,X192,X190) )
& ( subactivity_occurrence(X191,esk9_3(X190,X191,X192))
| ~ min_precedes(X191,X192,X190) )
& ( subactivity_occurrence(X192,esk9_3(X190,X191,X192))
| ~ min_precedes(X191,X192,X190) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_24])])])]) ).
cnf(c_0_43,plain,
( min_precedes(X1,X2,X3)
| ~ next_subocc(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_44,negated_conjecture,
next_subocc(esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)),tptp0),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,negated_conjecture,
( X1 = esk14_2(tptp0,esk18_0)
| ~ root_occ(X1,esk18_0)
| ~ occurrence_of(esk18_0,X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,plain,
( occurrence_of(X1,esk2_2(X2,X1))
| ~ root_occ(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_47,plain,
( subactivity_occurrence(X1,esk9_3(X2,X1,X3))
| ~ min_precedes(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_48,negated_conjecture,
min_precedes(esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)),tptp0),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,negated_conjecture,
( esk14_2(tptp0,esk18_0) = esk15_1(esk18_0)
| ~ occurrence_of(esk18_0,X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_39]) ).
cnf(c_0_50,negated_conjecture,
occurrence_of(esk18_0,esk2_2(esk14_2(tptp0,esk18_0),esk18_0)),
inference(spm,[status(thm)],[c_0_46,c_0_41]) ).
cnf(c_0_51,negated_conjecture,
subactivity_occurrence(esk15_1(esk18_0),esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_52,negated_conjecture,
esk14_2(tptp0,esk18_0) = esk15_1(esk18_0),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_53,plain,
( occurrence_of(esk9_3(X1,X2,X3),X1)
| ~ min_precedes(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_54,negated_conjecture,
( root_occ(esk15_1(esk18_0),esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))
| ~ root(esk15_1(esk18_0),X1)
| ~ occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_51]) ).
cnf(c_0_55,negated_conjecture,
root(esk15_1(esk18_0),tptp0),
inference(rw,[status(thm)],[c_0_36,c_0_52]) ).
cnf(c_0_56,negated_conjecture,
occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),tptp0),
inference(spm,[status(thm)],[c_0_53,c_0_48]) ).
cnf(c_0_57,negated_conjecture,
root_occ(esk15_1(esk18_0),esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56])]) ).
cnf(c_0_58,plain,
( occurrence_of(esk17_1(X1),tptp1)
| ~ occurrence_of(X2,tptp0)
| ~ root_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_59,negated_conjecture,
( X1 = esk15_1(esk18_0)
| ~ root_occ(X1,esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))
| ~ occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_57]) ).
cnf(c_0_60,negated_conjecture,
root_occ(esk15_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),
inference(spm,[status(thm)],[c_0_33,c_0_56]) ).
fof(c_0_61,plain,
! [X153,X154] :
( ( ~ arboreal(X153)
| atomic(X154)
| ~ occurrence_of(X153,X154) )
& ( ~ atomic(X154)
| arboreal(X153)
| ~ occurrence_of(X153,X154) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_13])])]) ).
cnf(c_0_62,negated_conjecture,
( occurrence_of(esk17_1(X1),tptp1)
| ~ root_occ(X1,esk18_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_25]) ).
cnf(c_0_63,plain,
( next_subocc(esk15_1(X1),esk16_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_64,negated_conjecture,
( esk15_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))) = esk15_1(esk18_0)
| ~ occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
fof(c_0_65,plain,
! [X209,X210] :
( ( activity(X209)
| ~ occurrence_of(X210,X209) )
& ( activity_occurrence(X210)
| ~ occurrence_of(X210,X209) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_29])])]) ).
cnf(c_0_66,plain,
( occurrence_of(esk16_1(X1),tptp3)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_67,plain,
! [X205,X206,X207,X208] :
( ~ occurrence_of(X206,X205)
| ~ arboreal(X207)
| ~ arboreal(X208)
| ~ subactivity_occurrence(X207,X206)
| ~ subactivity_occurrence(X208,X206)
| min_precedes(X207,X208,X205)
| min_precedes(X208,X207,X205)
| X207 = X208 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_28])]) ).
cnf(c_0_68,plain,
( subactivity_occurrence(X1,esk9_3(X2,X3,X1))
| ~ min_precedes(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_69,plain,
( arboreal(X2)
| ~ atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_70,negated_conjecture,
occurrence_of(esk17_1(esk15_1(esk18_0)),tptp1),
inference(spm,[status(thm)],[c_0_62,c_0_39]) ).
cnf(c_0_71,plain,
atomic(tptp1),
inference(split_conjunct,[status(thm)],[sos_38]) ).
fof(c_0_72,plain,
! [X145,X146,X148,X149,X150] :
( ( occurrence_of(X146,esk3_2(X145,X146))
| ~ leaf_occ(X145,X146) )
& ( subactivity_occurrence(X145,X146)
| ~ leaf_occ(X145,X146) )
& ( leaf(X145,esk3_2(X145,X146))
| ~ leaf_occ(X145,X146) )
& ( ~ occurrence_of(X149,X150)
| ~ subactivity_occurrence(X148,X149)
| ~ leaf(X148,X150)
| leaf_occ(X148,X149) ) ),
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_11])])])])])]) ).
cnf(c_0_73,plain,
( leaf_occ(esk16_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_74,plain,
( ~ min_precedes(X1,X2,X3)
| ~ min_precedes(X2,X4,X3)
| ~ next_subocc(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_75,negated_conjecture,
next_subocc(esk15_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),tptp0),
inference(spm,[status(thm)],[c_0_63,c_0_56]) ).
cnf(c_0_76,negated_conjecture,
esk15_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))) = esk15_1(esk18_0),
inference(spm,[status(thm)],[c_0_64,c_0_56]) ).
fof(c_0_77,plain,
! [X184,X185,X186] :
( ~ occurrence_of(X184,X185)
| ~ occurrence_of(X184,X186)
| X185 = X186 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_22])]) ).
fof(c_0_78,plain,
! [X172] :
( ( activity(esk7_1(X172))
| ~ activity_occurrence(X172) )
& ( occurrence_of(X172,esk7_1(X172))
| ~ activity_occurrence(X172) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_18])])])]) ).
cnf(c_0_79,plain,
( activity_occurrence(X1)
| ~ occurrence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_80,negated_conjecture,
occurrence_of(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),tptp3),
inference(spm,[status(thm)],[c_0_66,c_0_56]) ).
cnf(c_0_81,plain,
( min_precedes(X3,X4,X2)
| min_precedes(X4,X3,X2)
| X3 = X4
| ~ occurrence_of(X1,X2)
| ~ arboreal(X3)
| ~ arboreal(X4)
| ~ subactivity_occurrence(X3,X1)
| ~ subactivity_occurrence(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_82,negated_conjecture,
subactivity_occurrence(esk17_1(esk15_1(esk18_0)),esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),
inference(spm,[status(thm)],[c_0_68,c_0_48]) ).
cnf(c_0_83,negated_conjecture,
arboreal(esk17_1(esk15_1(esk18_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71])]) ).
cnf(c_0_84,plain,
( subactivity_occurrence(X1,X2)
| ~ leaf_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_85,negated_conjecture,
leaf_occ(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),
inference(spm,[status(thm)],[c_0_73,c_0_56]) ).
cnf(c_0_86,plain,
atomic(tptp3),
inference(split_conjunct,[status(thm)],[sos_36]) ).
cnf(c_0_87,negated_conjecture,
( ~ min_precedes(X1,esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),tptp0)
| ~ min_precedes(esk15_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),X1,tptp0) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_88,negated_conjecture,
next_subocc(esk15_1(esk18_0),esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),tptp0),
inference(rw,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_89,plain,
( X2 = X3
| ~ occurrence_of(X1,X2)
| ~ occurrence_of(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_90,plain,
( occurrence_of(X1,esk7_1(X1))
| ~ activity_occurrence(X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_91,negated_conjecture,
activity_occurrence(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_92,negated_conjecture,
( X1 = esk17_1(esk15_1(esk18_0))
| min_precedes(X1,esk17_1(esk15_1(esk18_0)),X2)
| min_precedes(esk17_1(esk15_1(esk18_0)),X1,X2)
| ~ subactivity_occurrence(X1,esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))
| ~ arboreal(X1)
| ~ occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83])]) ).
cnf(c_0_93,negated_conjecture,
subactivity_occurrence(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_94,negated_conjecture,
arboreal(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_80]),c_0_86])]) ).
cnf(c_0_95,negated_conjecture,
( ~ min_precedes(X1,esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),tptp0)
| ~ min_precedes(esk15_1(esk18_0),X1,tptp0) ),
inference(rw,[status(thm)],[c_0_87,c_0_76]) ).
cnf(c_0_96,negated_conjecture,
( ~ min_precedes(X1,esk17_1(esk15_1(esk18_0)),tptp0)
| ~ min_precedes(esk15_1(esk18_0),X1,tptp0) ),
inference(spm,[status(thm)],[c_0_74,c_0_44]) ).
cnf(c_0_97,negated_conjecture,
min_precedes(esk15_1(esk18_0),esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),tptp0),
inference(spm,[status(thm)],[c_0_43,c_0_88]) ).
cnf(c_0_98,negated_conjecture,
activity_occurrence(esk17_1(esk15_1(esk18_0))),
inference(spm,[status(thm)],[c_0_79,c_0_70]) ).
cnf(c_0_99,negated_conjecture,
( X1 = tptp3
| ~ occurrence_of(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_80]) ).
cnf(c_0_100,negated_conjecture,
occurrence_of(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),esk7_1(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))))),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_101,negated_conjecture,
( esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))) = esk17_1(esk15_1(esk18_0))
| min_precedes(esk17_1(esk15_1(esk18_0)),esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),X1)
| min_precedes(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),esk17_1(esk15_1(esk18_0)),X1)
| ~ occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94])]) ).
cnf(c_0_102,negated_conjecture,
~ min_precedes(esk17_1(esk15_1(esk18_0)),esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),tptp0),
inference(spm,[status(thm)],[c_0_95,c_0_48]) ).
cnf(c_0_103,negated_conjecture,
~ min_precedes(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),esk17_1(esk15_1(esk18_0)),tptp0),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_104,negated_conjecture,
( X1 = tptp1
| ~ occurrence_of(esk17_1(esk15_1(esk18_0)),X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_70]) ).
cnf(c_0_105,negated_conjecture,
occurrence_of(esk17_1(esk15_1(esk18_0)),esk7_1(esk17_1(esk15_1(esk18_0)))),
inference(spm,[status(thm)],[c_0_90,c_0_98]) ).
cnf(c_0_106,negated_conjecture,
esk7_1(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))) = tptp3,
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_107,negated_conjecture,
esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))) = esk17_1(esk15_1(esk18_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_56]),c_0_102]),c_0_103]) ).
cnf(c_0_108,negated_conjecture,
esk7_1(esk17_1(esk15_1(esk18_0))) = tptp1,
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_109,plain,
tptp1 != tptp3,
inference(split_conjunct,[status(thm)],[sos_42]) ).
cnf(c_0_110,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_107]),c_0_108]),c_0_109]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PRO003+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n007.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 19:20:58 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.57 start to proof: theBenchmark
% 2.25/2.34 % Version : CSE_E---1.5
% 2.25/2.34 % Problem : theBenchmark.p
% 2.25/2.34 % Proof found
% 2.25/2.34 % SZS status Theorem for theBenchmark.p
% 2.25/2.34 % SZS output start Proof
% See solution above
% 2.25/2.35 % Total time : 1.755000 s
% 2.25/2.35 % SZS output end Proof
% 2.25/2.35 % Total time : 1.759000 s
%------------------------------------------------------------------------------