TSTP Solution File: PRO005+2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : PRO005+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 : n026.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 13:06:01 EDT 2023
% Result : Theorem 0.20s 0.70s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 59
% Syntax : Number of formulae : 143 ( 39 unt; 40 typ; 0 def)
% Number of atoms : 299 ( 21 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 326 ( 130 ~; 124 |; 54 &)
% ( 3 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 5 ( 1 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 : 163 ( 5 sgn; 87 !; 13 ?; 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,
~ ? [X104] : occurrence_of(X104,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_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_32,axiom,
! [X96] :
( occurrence_of(X96,tptp0)
=> ? [X97,X98] :
( occurrence_of(X97,tptp4)
& root_occ(X97,X96)
& ( occurrence_of(X98,tptp3)
| occurrence_of(X98,tptp2) )
& leaf_occ(X98,X96)
& next_subocc(X97,X98,tptp0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
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_46,axiom,
! [X101,X102] :
( ( occurrence_of(X102,tptp0)
& subactivity_occurrence(X101,X102)
& arboreal(X101)
& ~ leaf_occ(X101,X102) )
=> ? [X103] :
( occurrence_of(X103,tptp1)
& next_subocc(X101,X103,tptp0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_46) ).
fof(sos_21,axiom,
! [X61,X62,X63] :
( ( occurrence_of(X61,X63)
& leaf_occ(X62,X61) )
=> ~ ? [X64] : min_precedes(X62,X64,X63) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_21) ).
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_35,axiom,
atomic(tptp4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_35) ).
fof(sos_45,axiom,
! [X99,X100] :
( ( occurrence_of(X100,tptp0)
& subactivity_occurrence(X99,X100)
& arboreal(X99)
& ~ leaf_occ(X99,X100) )
=> root_occ(X99,X100) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_45) ).
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_20,axiom,
! [X57,X58,X59] :
( ( occurrence_of(X57,X59)
& root_occ(X58,X57) )
=> ~ ? [X60] : min_precedes(X60,X58,X59) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_20) ).
fof(sos_03,axiom,
! [X12,X13,X14,X15] :
( ( occurrence_of(X14,X15)
& ~ atomic(X15)
& leaf_occ(X12,X14)
& leaf_occ(X13,X14) )
=> X12 = X13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
fof(sos_38,axiom,
atomic(tptp1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_38) ).
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_43,axiom,
tptp1 != tptp2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_43) ).
fof(sos_42,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_42) ).
fof(c_0_19,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_20,negated_conjecture,
~ ~ ? [X104] : occurrence_of(X104,tptp0),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_21,plain,
! [X213,X214] :
( ( root(esk14_2(X213,X214),X213)
| ~ occurrence_of(X214,X213)
| atomic(X213) )
& ( subactivity_occurrence(esk14_2(X213,X214),X214)
| ~ occurrence_of(X214,X213)
| atomic(X213) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).
fof(c_0_22,negated_conjecture,
occurrence_of(esk18_0,tptp0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
fof(c_0_23,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_34]) ).
fof(c_0_24,plain,
! [X141,X142,X144,X145,X146] :
( ( occurrence_of(X142,esk2_2(X141,X142))
| ~ root_occ(X141,X142) )
& ( subactivity_occurrence(X141,X142)
| ~ root_occ(X141,X142) )
& ( root(X141,esk2_2(X141,X142))
| ~ root_occ(X141,X142) )
& ( ~ occurrence_of(X145,X146)
| ~ subactivity_occurrence(X144,X145)
| ~ root(X144,X146)
| root_occ(X144,X145) ) ),
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_25,plain,
( subactivity_occurrence(esk14_2(X1,X2),X2)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,negated_conjecture,
occurrence_of(esk18_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,plain,
( root_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ root(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,negated_conjecture,
subactivity_occurrence(esk14_2(tptp0,esk18_0),esk18_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_30,plain,
( root(esk14_2(X1,X2),X1)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_31,plain,
! [X112,X113,X114,X115] :
( ~ occurrence_of(X114,X115)
| ~ root_occ(X112,X114)
| ~ root_occ(X113,X114)
| X112 = X113 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_02])]) ).
cnf(c_0_32,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_28,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
root(esk14_2(tptp0,esk18_0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_26]),c_0_27]) ).
fof(c_0_34,plain,
! [X217] :
( ( occurrence_of(esk15_1(X217),tptp4)
| ~ occurrence_of(X217,tptp0) )
& ( root_occ(esk15_1(X217),X217)
| ~ occurrence_of(X217,tptp0) )
& ( occurrence_of(esk16_1(X217),tptp3)
| occurrence_of(esk16_1(X217),tptp2)
| ~ occurrence_of(X217,tptp0) )
& ( leaf_occ(esk16_1(X217),X217)
| ~ occurrence_of(X217,tptp0) )
& ( next_subocc(esk15_1(X217),esk16_1(X217),tptp0)
| ~ occurrence_of(X217,tptp0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_32])])])]) ).
cnf(c_0_35,plain,
( X3 = X4
| ~ occurrence_of(X1,X2)
| ~ root_occ(X3,X1)
| ~ root_occ(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_36,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_32,c_0_26]),c_0_33])]) ).
cnf(c_0_37,plain,
( root_occ(esk15_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_38,plain,
! [X120,X121,X122,X123,X124,X125,X126] :
( ( min_precedes(X120,X121,X122)
| ~ next_subocc(X120,X121,X122) )
& ( ~ min_precedes(X120,X123,X122)
| ~ min_precedes(X123,X121,X122)
| ~ next_subocc(X120,X121,X122) )
& ( min_precedes(X124,esk1_3(X124,X125,X126),X126)
| ~ min_precedes(X124,X125,X126)
| next_subocc(X124,X125,X126) )
& ( min_precedes(esk1_3(X124,X125,X126),X125,X126)
| ~ min_precedes(X124,X125,X126)
| next_subocc(X124,X125,X126) ) ),
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_39,plain,
( next_subocc(esk15_1(X1),esk16_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_40,plain,
! [X101,X102] :
( ( occurrence_of(X102,tptp0)
& subactivity_occurrence(X101,X102)
& arboreal(X101)
& ~ leaf_occ(X101,X102) )
=> ? [X103] :
( occurrence_of(X103,tptp1)
& next_subocc(X101,X103,tptp0) ) ),
inference(fof_simplification,[status(thm)],[sos_46]) ).
cnf(c_0_41,negated_conjecture,
( X1 = esk14_2(tptp0,esk18_0)
| ~ root_occ(X1,esk18_0)
| ~ occurrence_of(esk18_0,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_42,negated_conjecture,
root_occ(esk15_1(esk18_0),esk18_0),
inference(spm,[status(thm)],[c_0_37,c_0_26]) ).
cnf(c_0_43,plain,
( occurrence_of(X1,esk2_2(X2,X1))
| ~ root_occ(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_44,plain,
! [X182,X183,X184,X185] :
( ~ occurrence_of(X182,X184)
| ~ leaf_occ(X183,X182)
| ~ min_precedes(X183,X185,X184) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_21])])]) ).
cnf(c_0_45,plain,
( min_precedes(X1,X2,X3)
| ~ next_subocc(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_46,negated_conjecture,
next_subocc(esk15_1(esk18_0),esk16_1(esk18_0),tptp0),
inference(spm,[status(thm)],[c_0_39,c_0_26]) ).
fof(c_0_47,plain,
! [X222,X223] :
( ( occurrence_of(esk17_1(X222),tptp1)
| ~ occurrence_of(X223,tptp0)
| ~ subactivity_occurrence(X222,X223)
| ~ arboreal(X222)
| leaf_occ(X222,X223) )
& ( next_subocc(X222,esk17_1(X222),tptp0)
| ~ occurrence_of(X223,tptp0)
| ~ subactivity_occurrence(X222,X223)
| ~ arboreal(X222)
| leaf_occ(X222,X223) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])])])]) ).
cnf(c_0_48,negated_conjecture,
( esk14_2(tptp0,esk18_0) = esk15_1(esk18_0)
| ~ occurrence_of(esk18_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_49,negated_conjecture,
occurrence_of(esk18_0,esk2_2(esk14_2(tptp0,esk18_0),esk18_0)),
inference(spm,[status(thm)],[c_0_43,c_0_36]) ).
fof(c_0_50,plain,
! [X155,X156] :
( ( ~ arboreal(X155)
| atomic(X156)
| ~ occurrence_of(X155,X156) )
& ( ~ atomic(X156)
| arboreal(X155)
| ~ occurrence_of(X155,X156) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_13])])]) ).
cnf(c_0_51,plain,
( occurrence_of(esk15_1(X1),tptp4)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_52,plain,
( ~ occurrence_of(X1,X2)
| ~ leaf_occ(X3,X1)
| ~ min_precedes(X3,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_53,negated_conjecture,
min_precedes(esk15_1(esk18_0),esk16_1(esk18_0),tptp0),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_54,plain,
( next_subocc(X1,esk17_1(X1),tptp0)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_55,negated_conjecture,
esk14_2(tptp0,esk18_0) = esk15_1(esk18_0),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_56,plain,
( arboreal(X2)
| ~ atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_57,negated_conjecture,
occurrence_of(esk15_1(esk18_0),tptp4),
inference(spm,[status(thm)],[c_0_51,c_0_26]) ).
cnf(c_0_58,plain,
atomic(tptp4),
inference(split_conjunct,[status(thm)],[sos_35]) ).
cnf(c_0_59,negated_conjecture,
( ~ leaf_occ(esk15_1(esk18_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_60,negated_conjecture,
( next_subocc(X1,esk17_1(X1),tptp0)
| leaf_occ(X1,esk18_0)
| ~ subactivity_occurrence(X1,esk18_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_26]) ).
cnf(c_0_61,negated_conjecture,
subactivity_occurrence(esk15_1(esk18_0),esk18_0),
inference(rw,[status(thm)],[c_0_29,c_0_55]) ).
cnf(c_0_62,negated_conjecture,
arboreal(esk15_1(esk18_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]) ).
cnf(c_0_63,negated_conjecture,
~ leaf_occ(esk15_1(esk18_0),esk18_0),
inference(spm,[status(thm)],[c_0_59,c_0_26]) ).
cnf(c_0_64,plain,
( occurrence_of(esk17_1(X1),tptp1)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_65,plain,
! [X99,X100] :
( ( occurrence_of(X100,tptp0)
& subactivity_occurrence(X99,X100)
& arboreal(X99)
& ~ leaf_occ(X99,X100) )
=> root_occ(X99,X100) ),
inference(fof_simplification,[status(thm)],[sos_45]) ).
fof(c_0_66,plain,
! [X192,X193,X194] :
( ( occurrence_of(esk9_3(X192,X193,X194),X192)
| ~ min_precedes(X193,X194,X192) )
& ( subactivity_occurrence(X193,esk9_3(X192,X193,X194))
| ~ min_precedes(X193,X194,X192) )
& ( subactivity_occurrence(X194,esk9_3(X192,X193,X194))
| ~ min_precedes(X193,X194,X192) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_24])])])]) ).
cnf(c_0_67,negated_conjecture,
next_subocc(esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62])]),c_0_63]) ).
cnf(c_0_68,negated_conjecture,
( leaf_occ(X1,esk18_0)
| occurrence_of(esk17_1(X1),tptp1)
| ~ subactivity_occurrence(X1,esk18_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_26]) ).
fof(c_0_69,plain,
! [X178,X179,X180,X181] :
( ~ occurrence_of(X178,X180)
| ~ root_occ(X179,X178)
| ~ min_precedes(X181,X179,X180) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_20])])]) ).
fof(c_0_70,plain,
! [X220,X221] :
( ~ occurrence_of(X221,tptp0)
| ~ subactivity_occurrence(X220,X221)
| ~ arboreal(X220)
| leaf_occ(X220,X221)
| root_occ(X220,X221) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])]) ).
cnf(c_0_71,plain,
( occurrence_of(esk9_3(X1,X2,X3),X1)
| ~ min_precedes(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_72,negated_conjecture,
min_precedes(esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)),tptp0),
inference(spm,[status(thm)],[c_0_45,c_0_67]) ).
cnf(c_0_73,negated_conjecture,
( leaf_occ(esk15_1(esk18_0),esk18_0)
| occurrence_of(esk17_1(esk15_1(esk18_0)),tptp1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_61]),c_0_62])]) ).
cnf(c_0_74,plain,
( ~ occurrence_of(X1,X2)
| ~ root_occ(X3,X1)
| ~ min_precedes(X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
fof(c_0_75,plain,
! [X12,X13,X14,X15] :
( ( occurrence_of(X14,X15)
& ~ atomic(X15)
& leaf_occ(X12,X14)
& leaf_occ(X13,X14) )
=> X12 = X13 ),
inference(fof_simplification,[status(thm)],[sos_03]) ).
cnf(c_0_76,plain,
( leaf_occ(X2,X1)
| root_occ(X2,X1)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X2,X1)
| ~ arboreal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_77,negated_conjecture,
occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),tptp0),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_78,plain,
( subactivity_occurrence(X1,esk9_3(X2,X3,X1))
| ~ min_precedes(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_79,negated_conjecture,
occurrence_of(esk17_1(esk15_1(esk18_0)),tptp1),
inference(sr,[status(thm)],[c_0_73,c_0_63]) ).
cnf(c_0_80,plain,
atomic(tptp1),
inference(split_conjunct,[status(thm)],[sos_38]) ).
cnf(c_0_81,negated_conjecture,
( ~ root_occ(esk17_1(esk15_1(esk18_0)),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_74,c_0_72]) ).
fof(c_0_82,plain,
! [X116,X117,X118,X119] :
( ~ occurrence_of(X118,X119)
| atomic(X119)
| ~ leaf_occ(X116,X118)
| ~ leaf_occ(X117,X118)
| X116 = X117 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_75])]) ).
cnf(c_0_83,negated_conjecture,
( leaf_occ(X1,esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))
| root_occ(X1,esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))
| ~ subactivity_occurrence(X1,esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_84,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_78,c_0_72]) ).
cnf(c_0_85,negated_conjecture,
arboreal(esk17_1(esk15_1(esk18_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_79]),c_0_80])]) ).
cnf(c_0_86,negated_conjecture,
~ root_occ(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_81,c_0_77]) ).
cnf(c_0_87,plain,
( atomic(X2)
| X3 = X4
| ~ occurrence_of(X1,X2)
| ~ leaf_occ(X3,X1)
| ~ leaf_occ(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_88,negated_conjecture,
leaf_occ(esk17_1(esk15_1(esk18_0)),esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85])]),c_0_86]) ).
cnf(c_0_89,plain,
( leaf_occ(esk16_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_90,negated_conjecture,
( X1 = esk17_1(esk15_1(esk18_0))
| atomic(X2)
| ~ leaf_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_87,c_0_88]) ).
cnf(c_0_91,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_89,c_0_77]) ).
fof(c_0_92,plain,
! [X186,X187,X188] :
( ~ occurrence_of(X186,X187)
| ~ occurrence_of(X186,X188)
| X187 = X188 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_22])]) ).
cnf(c_0_93,negated_conjecture,
( esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))) = esk17_1(esk15_1(esk18_0))
| atomic(X1)
| ~ occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_94,plain,
( X2 = X3
| ~ occurrence_of(X1,X2)
| ~ occurrence_of(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_95,plain,
( occurrence_of(esk16_1(X1),tptp3)
| occurrence_of(esk16_1(X1),tptp2)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_96,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(spm,[status(thm)],[c_0_93,c_0_77]),c_0_27]) ).
cnf(c_0_97,negated_conjecture,
( X1 = tptp1
| ~ occurrence_of(esk17_1(esk15_1(esk18_0)),X1) ),
inference(spm,[status(thm)],[c_0_94,c_0_79]) ).
cnf(c_0_98,negated_conjecture,
( occurrence_of(esk17_1(esk15_1(esk18_0)),tptp2)
| occurrence_of(esk17_1(esk15_1(esk18_0)),tptp3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_77]),c_0_96]),c_0_96]) ).
cnf(c_0_99,plain,
tptp1 != tptp2,
inference(split_conjunct,[status(thm)],[sos_43]) ).
cnf(c_0_100,negated_conjecture,
occurrence_of(esk17_1(esk15_1(esk18_0)),tptp3),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]) ).
cnf(c_0_101,plain,
tptp1 != tptp3,
inference(split_conjunct,[status(thm)],[sos_42]) ).
cnf(c_0_102,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_100]),c_0_101]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PRO005+2 : 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
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 19:50:35 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 0.20/0.70 % Version : CSE_E---1.5
% 0.20/0.70 % Problem : theBenchmark.p
% 0.20/0.70 % Proof found
% 0.20/0.70 % SZS status Theorem for theBenchmark.p
% 0.20/0.70 % SZS output start Proof
% See solution above
% 0.20/0.71 % Total time : 0.115000 s
% 0.20/0.71 % SZS output end Proof
% 0.20/0.71 % Total time : 0.119000 s
%------------------------------------------------------------------------------