TSTP Solution File: PRO016+2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : PRO016+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 : n018.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 13:06:10 EDT 2023
% Result : Theorem 63.27s 63.86s
% Output : CNFRefutation 63.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 55
% Syntax : Number of formulae : 131 ( 33 unt; 43 typ; 0 def)
% Number of atoms : 443 ( 12 equ)
% Maximal formula atoms : 130 ( 5 avg)
% Number of connectives : 578 ( 223 ~; 246 |; 91 &)
% ( 3 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 72 ( 36 >; 36 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 26 ( 26 usr; 7 con; 0-3 aty)
% Number of variables : 155 ( 1 sgn; 72 !; 18 ?; 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,
tptp3: $i ).
tff(decl_41,type,
tptp4: $i ).
tff(decl_42,type,
tptp1: $i ).
tff(decl_43,type,
tptp2: $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_2: ( $i * $i ) > $i ).
tff(decl_59,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_60,type,
esk17_2: ( $i * $i ) > $i ).
tff(decl_61,type,
esk18_0: $i ).
tff(decl_62,type,
esk19_0: $i ).
tff(decl_63,type,
esk20_2: ( $i * $i ) > $i ).
tff(decl_64,type,
esk21_2: ( $i * $i ) > $i ).
fof(sos_32,axiom,
! [X96,X97] :
( ( occurrence_of(X97,tptp0)
& subactivity_occurrence(X96,X97)
& arboreal(X96)
& ~ leaf_occ(X96,X97) )
=> ? [X98,X99,X100] :
( occurrence_of(X98,tptp3)
& next_subocc(X96,X98,tptp0)
& occurrence_of(X99,tptp4)
& next_subocc(X98,X99,tptp0)
& ( occurrence_of(X100,tptp1)
| occurrence_of(X100,tptp2) )
& next_subocc(X99,X100,tptp0)
& leaf_occ(X100,X97) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
fof(goals,conjecture,
! [X101,X102] :
( ( occurrence_of(X102,tptp0)
& subactivity_occurrence(X101,X102)
& arboreal(X101)
& ~ leaf_occ(X101,X102) )
=> ? [X103,X104] :
( occurrence_of(X103,tptp3)
& next_subocc(X101,X103,tptp0)
& ( occurrence_of(X104,tptp1)
| occurrence_of(X104,tptp2) )
& min_precedes(X103,X104,tptp0)
& leaf_occ(X104,X102)
& ( occurrence_of(X104,tptp1)
=> ~ ? [X105] :
( occurrence_of(X105,tptp2)
& min_precedes(X103,X105,tptp0) ) )
& ( occurrence_of(X104,tptp2)
=> ~ ? [X106] :
( occurrence_of(X106,tptp1)
& min_precedes(X103,X106,tptp0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
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_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_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_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_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_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_34,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_34) ).
fof(sos,axiom,
! [X1,X2,X3,X4] :
( ( min_precedes(X1,X2,X4)
& min_precedes(X2,X3,X4) )
=> min_precedes(X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos) ).
fof(c_0_12,plain,
! [X96,X97] :
( ( occurrence_of(X97,tptp0)
& subactivity_occurrence(X96,X97)
& arboreal(X96)
& ~ leaf_occ(X96,X97) )
=> ? [X98,X99,X100] :
( occurrence_of(X98,tptp3)
& next_subocc(X96,X98,tptp0)
& occurrence_of(X99,tptp4)
& next_subocc(X98,X99,tptp0)
& ( occurrence_of(X100,tptp1)
| occurrence_of(X100,tptp2) )
& next_subocc(X99,X100,tptp0)
& leaf_occ(X100,X97) ) ),
inference(fof_simplification,[status(thm)],[sos_32]) ).
fof(c_0_13,negated_conjecture,
~ ! [X101,X102] :
( ( occurrence_of(X102,tptp0)
& subactivity_occurrence(X101,X102)
& arboreal(X101)
& ~ leaf_occ(X101,X102) )
=> ? [X103,X104] :
( occurrence_of(X103,tptp3)
& next_subocc(X101,X103,tptp0)
& ( occurrence_of(X104,tptp1)
| occurrence_of(X104,tptp2) )
& min_precedes(X103,X104,tptp0)
& leaf_occ(X104,X102)
& ( occurrence_of(X104,tptp1)
=> ~ ? [X105] :
( occurrence_of(X105,tptp2)
& min_precedes(X103,X105,tptp0) ) )
& ( occurrence_of(X104,tptp2)
=> ~ ? [X106] :
( occurrence_of(X106,tptp1)
& min_precedes(X103,X106,tptp0) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goals])]) ).
fof(c_0_14,plain,
! [X219,X220] :
( ( occurrence_of(esk15_2(X219,X220),tptp3)
| ~ occurrence_of(X220,tptp0)
| ~ subactivity_occurrence(X219,X220)
| ~ arboreal(X219)
| leaf_occ(X219,X220) )
& ( next_subocc(X219,esk15_2(X219,X220),tptp0)
| ~ occurrence_of(X220,tptp0)
| ~ subactivity_occurrence(X219,X220)
| ~ arboreal(X219)
| leaf_occ(X219,X220) )
& ( occurrence_of(esk16_2(X219,X220),tptp4)
| ~ occurrence_of(X220,tptp0)
| ~ subactivity_occurrence(X219,X220)
| ~ arboreal(X219)
| leaf_occ(X219,X220) )
& ( next_subocc(esk15_2(X219,X220),esk16_2(X219,X220),tptp0)
| ~ occurrence_of(X220,tptp0)
| ~ subactivity_occurrence(X219,X220)
| ~ arboreal(X219)
| leaf_occ(X219,X220) )
& ( occurrence_of(esk17_2(X219,X220),tptp1)
| occurrence_of(esk17_2(X219,X220),tptp2)
| ~ occurrence_of(X220,tptp0)
| ~ subactivity_occurrence(X219,X220)
| ~ arboreal(X219)
| leaf_occ(X219,X220) )
& ( next_subocc(esk16_2(X219,X220),esk17_2(X219,X220),tptp0)
| ~ occurrence_of(X220,tptp0)
| ~ subactivity_occurrence(X219,X220)
| ~ arboreal(X219)
| leaf_occ(X219,X220) )
& ( leaf_occ(esk17_2(X219,X220),X220)
| ~ occurrence_of(X220,tptp0)
| ~ subactivity_occurrence(X219,X220)
| ~ arboreal(X219)
| leaf_occ(X219,X220) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).
fof(c_0_15,negated_conjecture,
! [X226,X227] :
( occurrence_of(esk19_0,tptp0)
& subactivity_occurrence(esk18_0,esk19_0)
& arboreal(esk18_0)
& ~ leaf_occ(esk18_0,esk19_0)
& ( occurrence_of(X227,tptp2)
| occurrence_of(X227,tptp1)
| ~ occurrence_of(X227,tptp1)
| ~ occurrence_of(X226,tptp3)
| ~ next_subocc(esk18_0,X226,tptp0)
| ~ min_precedes(X226,X227,tptp0)
| ~ leaf_occ(X227,esk19_0) )
& ( occurrence_of(esk21_2(X226,X227),tptp1)
| occurrence_of(X227,tptp1)
| ~ occurrence_of(X227,tptp1)
| ~ occurrence_of(X226,tptp3)
| ~ next_subocc(esk18_0,X226,tptp0)
| ~ min_precedes(X226,X227,tptp0)
| ~ leaf_occ(X227,esk19_0) )
& ( min_precedes(X226,esk21_2(X226,X227),tptp0)
| occurrence_of(X227,tptp1)
| ~ occurrence_of(X227,tptp1)
| ~ occurrence_of(X226,tptp3)
| ~ next_subocc(esk18_0,X226,tptp0)
| ~ min_precedes(X226,X227,tptp0)
| ~ leaf_occ(X227,esk19_0) )
& ( occurrence_of(X227,tptp2)
| occurrence_of(esk20_2(X226,X227),tptp2)
| ~ occurrence_of(X227,tptp1)
| ~ occurrence_of(X226,tptp3)
| ~ next_subocc(esk18_0,X226,tptp0)
| ~ min_precedes(X226,X227,tptp0)
| ~ leaf_occ(X227,esk19_0) )
& ( occurrence_of(esk21_2(X226,X227),tptp1)
| occurrence_of(esk20_2(X226,X227),tptp2)
| ~ occurrence_of(X227,tptp1)
| ~ occurrence_of(X226,tptp3)
| ~ next_subocc(esk18_0,X226,tptp0)
| ~ min_precedes(X226,X227,tptp0)
| ~ leaf_occ(X227,esk19_0) )
& ( min_precedes(X226,esk21_2(X226,X227),tptp0)
| occurrence_of(esk20_2(X226,X227),tptp2)
| ~ occurrence_of(X227,tptp1)
| ~ occurrence_of(X226,tptp3)
| ~ next_subocc(esk18_0,X226,tptp0)
| ~ min_precedes(X226,X227,tptp0)
| ~ leaf_occ(X227,esk19_0) )
& ( occurrence_of(X227,tptp2)
| min_precedes(X226,esk20_2(X226,X227),tptp0)
| ~ occurrence_of(X227,tptp1)
| ~ occurrence_of(X226,tptp3)
| ~ next_subocc(esk18_0,X226,tptp0)
| ~ min_precedes(X226,X227,tptp0)
| ~ leaf_occ(X227,esk19_0) )
& ( occurrence_of(esk21_2(X226,X227),tptp1)
| min_precedes(X226,esk20_2(X226,X227),tptp0)
| ~ occurrence_of(X227,tptp1)
| ~ occurrence_of(X226,tptp3)
| ~ next_subocc(esk18_0,X226,tptp0)
| ~ min_precedes(X226,X227,tptp0)
| ~ leaf_occ(X227,esk19_0) )
& ( min_precedes(X226,esk21_2(X226,X227),tptp0)
| min_precedes(X226,esk20_2(X226,X227),tptp0)
| ~ occurrence_of(X227,tptp1)
| ~ occurrence_of(X226,tptp3)
| ~ next_subocc(esk18_0,X226,tptp0)
| ~ min_precedes(X226,X227,tptp0)
| ~ leaf_occ(X227,esk19_0) )
& ( occurrence_of(X227,tptp2)
| occurrence_of(X227,tptp1)
| ~ occurrence_of(X227,tptp2)
| ~ occurrence_of(X226,tptp3)
| ~ next_subocc(esk18_0,X226,tptp0)
| ~ min_precedes(X226,X227,tptp0)
| ~ leaf_occ(X227,esk19_0) )
& ( occurrence_of(esk21_2(X226,X227),tptp1)
| occurrence_of(X227,tptp1)
| ~ occurrence_of(X227,tptp2)
| ~ occurrence_of(X226,tptp3)
| ~ next_subocc(esk18_0,X226,tptp0)
| ~ min_precedes(X226,X227,tptp0)
| ~ leaf_occ(X227,esk19_0) )
& ( min_precedes(X226,esk21_2(X226,X227),tptp0)
| occurrence_of(X227,tptp1)
| ~ occurrence_of(X227,tptp2)
| ~ occurrence_of(X226,tptp3)
| ~ next_subocc(esk18_0,X226,tptp0)
| ~ min_precedes(X226,X227,tptp0)
| ~ leaf_occ(X227,esk19_0) )
& ( occurrence_of(X227,tptp2)
| occurrence_of(esk20_2(X226,X227),tptp2)
| ~ occurrence_of(X227,tptp2)
| ~ occurrence_of(X226,tptp3)
| ~ next_subocc(esk18_0,X226,tptp0)
| ~ min_precedes(X226,X227,tptp0)
| ~ leaf_occ(X227,esk19_0) )
& ( occurrence_of(esk21_2(X226,X227),tptp1)
| occurrence_of(esk20_2(X226,X227),tptp2)
| ~ occurrence_of(X227,tptp2)
| ~ occurrence_of(X226,tptp3)
| ~ next_subocc(esk18_0,X226,tptp0)
| ~ min_precedes(X226,X227,tptp0)
| ~ leaf_occ(X227,esk19_0) )
& ( min_precedes(X226,esk21_2(X226,X227),tptp0)
| occurrence_of(esk20_2(X226,X227),tptp2)
| ~ occurrence_of(X227,tptp2)
| ~ occurrence_of(X226,tptp3)
| ~ next_subocc(esk18_0,X226,tptp0)
| ~ min_precedes(X226,X227,tptp0)
| ~ leaf_occ(X227,esk19_0) )
& ( occurrence_of(X227,tptp2)
| min_precedes(X226,esk20_2(X226,X227),tptp0)
| ~ occurrence_of(X227,tptp2)
| ~ occurrence_of(X226,tptp3)
| ~ next_subocc(esk18_0,X226,tptp0)
| ~ min_precedes(X226,X227,tptp0)
| ~ leaf_occ(X227,esk19_0) )
& ( occurrence_of(esk21_2(X226,X227),tptp1)
| min_precedes(X226,esk20_2(X226,X227),tptp0)
| ~ occurrence_of(X227,tptp2)
| ~ occurrence_of(X226,tptp3)
| ~ next_subocc(esk18_0,X226,tptp0)
| ~ min_precedes(X226,X227,tptp0)
| ~ leaf_occ(X227,esk19_0) )
& ( min_precedes(X226,esk21_2(X226,X227),tptp0)
| min_precedes(X226,esk20_2(X226,X227),tptp0)
| ~ occurrence_of(X227,tptp2)
| ~ occurrence_of(X226,tptp3)
| ~ next_subocc(esk18_0,X226,tptp0)
| ~ min_precedes(X226,X227,tptp0)
| ~ leaf_occ(X227,esk19_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])]) ).
cnf(c_0_16,plain,
( leaf_occ(esk17_2(X1,X2),X2)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_17,negated_conjecture,
occurrence_of(esk19_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_18,plain,
! [X188,X189,X190] :
( ~ occurrence_of(X188,X189)
| ~ occurrence_of(X188,X190)
| X189 = X190 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_22])]) ).
fof(c_0_19,plain,
! [X149,X150,X152,X153,X154] :
( ( occurrence_of(X150,esk3_2(X149,X150))
| ~ leaf_occ(X149,X150) )
& ( subactivity_occurrence(X149,X150)
| ~ leaf_occ(X149,X150) )
& ( leaf(X149,esk3_2(X149,X150))
| ~ leaf_occ(X149,X150) )
& ( ~ occurrence_of(X153,X154)
| ~ subactivity_occurrence(X152,X153)
| ~ leaf(X152,X154)
| leaf_occ(X152,X153) ) ),
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_20,negated_conjecture,
( leaf_occ(esk17_2(X1,esk19_0),esk19_0)
| leaf_occ(X1,esk19_0)
| ~ subactivity_occurrence(X1,esk19_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
subactivity_occurrence(esk18_0,esk19_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,negated_conjecture,
arboreal(esk18_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,negated_conjecture,
~ leaf_occ(esk18_0,esk19_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,plain,
( X2 = X3
| ~ occurrence_of(X1,X2)
| ~ occurrence_of(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,plain,
( occurrence_of(X1,esk3_2(X2,X1))
| ~ leaf_occ(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,negated_conjecture,
leaf_occ(esk17_2(esk18_0,esk19_0),esk19_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_27,plain,
( next_subocc(esk16_2(X1,X2),esk17_2(X1,X2),tptp0)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_28,negated_conjecture,
( X1 = tptp0
| ~ occurrence_of(esk19_0,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_17]) ).
cnf(c_0_29,negated_conjecture,
occurrence_of(esk19_0,esk3_2(esk17_2(esk18_0,esk19_0),esk19_0)),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
fof(c_0_30,plain,
! [X122,X123,X124,X125,X126,X127,X128] :
( ( min_precedes(X122,X123,X124)
| ~ next_subocc(X122,X123,X124) )
& ( ~ min_precedes(X122,X125,X124)
| ~ min_precedes(X125,X123,X124)
| ~ next_subocc(X122,X123,X124) )
& ( min_precedes(X126,esk1_3(X126,X127,X128),X128)
| ~ min_precedes(X126,X127,X128)
| next_subocc(X126,X127,X128) )
& ( min_precedes(esk1_3(X126,X127,X128),X127,X128)
| ~ min_precedes(X126,X127,X128)
| next_subocc(X126,X127,X128) ) ),
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_31,negated_conjecture,
( next_subocc(esk16_2(X1,esk19_0),esk17_2(X1,esk19_0),tptp0)
| leaf_occ(X1,esk19_0)
| ~ subactivity_occurrence(X1,esk19_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_17]) ).
cnf(c_0_32,plain,
( leaf(X1,esk3_2(X1,X2))
| ~ leaf_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_33,negated_conjecture,
esk3_2(esk17_2(esk18_0,esk19_0),esk19_0) = tptp0,
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
fof(c_0_34,plain,
! [X194,X195,X196] :
( ( occurrence_of(esk9_3(X194,X195,X196),X194)
| ~ min_precedes(X195,X196,X194) )
& ( subactivity_occurrence(X195,esk9_3(X194,X195,X196))
| ~ min_precedes(X195,X196,X194) )
& ( subactivity_occurrence(X196,esk9_3(X194,X195,X196))
| ~ min_precedes(X195,X196,X194) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_24])])])]) ).
cnf(c_0_35,plain,
( min_precedes(X1,X2,X3)
| ~ next_subocc(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,negated_conjecture,
next_subocc(esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_37,plain,
( occurrence_of(esk16_2(X1,X2),tptp4)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_38,plain,
! [X184,X185,X186,X187] :
( ~ occurrence_of(X184,X186)
| ~ leaf_occ(X185,X184)
| ~ min_precedes(X185,X187,X186) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_21])])]) ).
fof(c_0_39,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_40,plain,
( leaf_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ leaf(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_41,negated_conjecture,
leaf(esk17_2(esk18_0,esk19_0),tptp0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_26]),c_0_33]) ).
cnf(c_0_42,plain,
( occurrence_of(esk9_3(X1,X2,X3),X1)
| ~ min_precedes(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_43,negated_conjecture,
min_precedes(esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0),tptp0),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_44,plain,
( subactivity_occurrence(X1,esk9_3(X2,X3,X1))
| ~ min_precedes(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_45,plain,
! [X157,X158] :
( ( ~ arboreal(X157)
| atomic(X158)
| ~ occurrence_of(X157,X158) )
& ( ~ atomic(X158)
| arboreal(X157)
| ~ occurrence_of(X157,X158) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_13])])]) ).
cnf(c_0_46,negated_conjecture,
( leaf_occ(X1,esk19_0)
| occurrence_of(esk16_2(X1,esk19_0),tptp4)
| ~ subactivity_occurrence(X1,esk19_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_17]) ).
cnf(c_0_47,plain,
( ~ occurrence_of(X1,X2)
| ~ leaf_occ(X3,X1)
| ~ min_precedes(X3,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_48,plain,
! [X118,X119,X120,X121] :
( ~ occurrence_of(X120,X121)
| atomic(X121)
| ~ leaf_occ(X118,X120)
| ~ leaf_occ(X119,X120)
| X118 = X119 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])]) ).
cnf(c_0_49,negated_conjecture,
( leaf_occ(esk17_2(esk18_0,esk19_0),X1)
| ~ subactivity_occurrence(esk17_2(esk18_0,esk19_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_50,negated_conjecture,
occurrence_of(esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0)),tptp0),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_51,negated_conjecture,
subactivity_occurrence(esk17_2(esk18_0,esk19_0),esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0))),
inference(spm,[status(thm)],[c_0_44,c_0_43]) ).
cnf(c_0_52,plain,
( subactivity_occurrence(X1,esk9_3(X2,X1,X3))
| ~ min_precedes(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_53,plain,
( arboreal(X2)
| ~ atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_54,negated_conjecture,
occurrence_of(esk16_2(esk18_0,esk19_0),tptp4),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_55,plain,
atomic(tptp4),
inference(split_conjunct,[status(thm)],[sos_35]) ).
cnf(c_0_56,negated_conjecture,
( ~ leaf_occ(esk16_2(esk18_0,esk19_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_47,c_0_43]) ).
cnf(c_0_57,plain,
( atomic(X2)
| X3 = X4
| ~ occurrence_of(X1,X2)
| ~ leaf_occ(X3,X1)
| ~ leaf_occ(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_58,negated_conjecture,
leaf_occ(esk17_2(esk18_0,esk19_0),esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]) ).
cnf(c_0_59,negated_conjecture,
( leaf_occ(esk17_2(X1,esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0))),esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0)))
| leaf_occ(X1,esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0)))
| ~ subactivity_occurrence(X1,esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0)))
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_50]) ).
cnf(c_0_60,negated_conjecture,
subactivity_occurrence(esk16_2(esk18_0,esk19_0),esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0))),
inference(spm,[status(thm)],[c_0_52,c_0_43]) ).
cnf(c_0_61,negated_conjecture,
arboreal(esk16_2(esk18_0,esk19_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]) ).
cnf(c_0_62,negated_conjecture,
~ leaf_occ(esk16_2(esk18_0,esk19_0),esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0))),
inference(spm,[status(thm)],[c_0_56,c_0_50]) ).
cnf(c_0_63,negated_conjecture,
( X1 = esk17_2(esk18_0,esk19_0)
| atomic(X2)
| ~ leaf_occ(X1,esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0)))
| ~ occurrence_of(esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0)),X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_64,negated_conjecture,
leaf_occ(esk17_2(esk16_2(esk18_0,esk19_0),esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0))),esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61])]),c_0_62]) ).
fof(c_0_65,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_34]) ).
cnf(c_0_66,negated_conjecture,
( next_subocc(esk16_2(X1,esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0))),esk17_2(X1,esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0))),tptp0)
| leaf_occ(X1,esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0)))
| ~ subactivity_occurrence(X1,esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0)))
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_50]) ).
cnf(c_0_67,negated_conjecture,
( esk17_2(esk16_2(esk18_0,esk19_0),esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0))) = esk17_2(esk18_0,esk19_0)
| atomic(X1)
| ~ occurrence_of(esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0)),X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_68,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_69,negated_conjecture,
next_subocc(esk16_2(esk16_2(esk18_0,esk19_0),esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0))),esk17_2(esk16_2(esk18_0,esk19_0),esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0))),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_60]),c_0_61])]),c_0_62]) ).
cnf(c_0_70,negated_conjecture,
esk17_2(esk16_2(esk18_0,esk19_0),esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0))) = esk17_2(esk18_0,esk19_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_50]),c_0_68]) ).
cnf(c_0_71,plain,
( next_subocc(esk15_2(X1,X2),esk16_2(X1,X2),tptp0)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_72,plain,
! [X107,X108,X109,X110] :
( ~ min_precedes(X107,X108,X110)
| ~ min_precedes(X108,X109,X110)
| min_precedes(X107,X109,X110) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos])]) ).
cnf(c_0_73,negated_conjecture,
next_subocc(esk16_2(esk16_2(esk18_0,esk19_0),esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0))),esk17_2(esk18_0,esk19_0),tptp0),
inference(rw,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_74,negated_conjecture,
( next_subocc(esk15_2(X1,esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0))),esk16_2(X1,esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0))),tptp0)
| leaf_occ(X1,esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0)))
| ~ subactivity_occurrence(X1,esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0)))
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_50]) ).
cnf(c_0_75,plain,
( next_subocc(X1,esk15_2(X1,X2),tptp0)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_76,plain,
( min_precedes(X1,X4,X3)
| ~ min_precedes(X1,X2,X3)
| ~ min_precedes(X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_77,negated_conjecture,
min_precedes(esk16_2(esk16_2(esk18_0,esk19_0),esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0))),esk17_2(esk18_0,esk19_0),tptp0),
inference(spm,[status(thm)],[c_0_35,c_0_73]) ).
cnf(c_0_78,negated_conjecture,
next_subocc(esk15_2(esk16_2(esk18_0,esk19_0),esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0))),esk16_2(esk16_2(esk18_0,esk19_0),esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0))),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_60]),c_0_61])]),c_0_62]) ).
cnf(c_0_79,negated_conjecture,
( next_subocc(X1,esk15_2(X1,esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0))),tptp0)
| leaf_occ(X1,esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0)))
| ~ subactivity_occurrence(X1,esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0)))
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_50]) ).
cnf(c_0_80,plain,
( ~ min_precedes(X1,X2,X3)
| ~ min_precedes(X2,X4,X3)
| ~ next_subocc(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_81,negated_conjecture,
( min_precedes(X1,esk17_2(esk18_0,esk19_0),tptp0)
| ~ min_precedes(X1,esk16_2(esk16_2(esk18_0,esk19_0),esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0))),tptp0) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_82,negated_conjecture,
min_precedes(esk15_2(esk16_2(esk18_0,esk19_0),esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0))),esk16_2(esk16_2(esk18_0,esk19_0),esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0))),tptp0),
inference(spm,[status(thm)],[c_0_35,c_0_78]) ).
cnf(c_0_83,negated_conjecture,
next_subocc(esk16_2(esk18_0,esk19_0),esk15_2(esk16_2(esk18_0,esk19_0),esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0))),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_60]),c_0_61])]),c_0_62]) ).
cnf(c_0_84,negated_conjecture,
( ~ min_precedes(X1,esk17_2(esk18_0,esk19_0),tptp0)
| ~ min_precedes(esk16_2(esk18_0,esk19_0),X1,tptp0) ),
inference(spm,[status(thm)],[c_0_80,c_0_36]) ).
cnf(c_0_85,negated_conjecture,
min_precedes(esk15_2(esk16_2(esk18_0,esk19_0),esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0))),esk17_2(esk18_0,esk19_0),tptp0),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_86,negated_conjecture,
min_precedes(esk16_2(esk18_0,esk19_0),esk15_2(esk16_2(esk18_0,esk19_0),esk9_3(tptp0,esk16_2(esk18_0,esk19_0),esk17_2(esk18_0,esk19_0))),tptp0),
inference(spm,[status(thm)],[c_0_35,c_0_83]) ).
cnf(c_0_87,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PRO016+2 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.32 % Computer : n018.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon Aug 28 19:21:32 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 63.27/63.86 % Version : CSE_E---1.5
% 63.27/63.86 % Problem : theBenchmark.p
% 63.27/63.86 % Proof found
% 63.27/63.86 % SZS status Theorem for theBenchmark.p
% 63.27/63.86 % SZS output start Proof
% See solution above
% 63.27/63.87 % Total time : 62.795000 s
% 63.27/63.87 % SZS output end Proof
% 63.27/63.87 % Total time : 62.801000 s
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