TSTP Solution File: PRO014+2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : PRO014+2 : 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 : n016.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 13:06:08 EDT 2023
% Result : Theorem 0.52s 0.60s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 45
% Syntax : Number of formulae : 85 ( 13 unt; 41 typ; 0 def)
% Number of atoms : 214 ( 0 equ)
% Maximal formula atoms : 36 ( 4 avg)
% Number of connectives : 272 ( 102 ~; 115 |; 49 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 65 ( 34 >; 31 *; 0 +; 0 <<)
% Number of predicates : 18 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 7 con; 0-3 aty)
% Number of variables : 74 ( 0 sgn; 30 !; 11 ?; 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,
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 ).
tff(decl_62,type,
esk19_0: $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,tptp2)
| occurrence_of(X100,tptp1) )
& next_subocc(X99,X100,tptp0)
& leaf(X100,tptp0) ) ),
file('/export/starexec/sandbox2/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,tptp2)
| occurrence_of(X104,tptp1) )
& min_precedes(X103,X104,tptp0)
& leaf(X104,tptp0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
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/sandbox2/benchmark/theBenchmark.p',sos_04) ).
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/sandbox2/benchmark/theBenchmark.p',sos) ).
fof(c_0_4,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,tptp2)
| occurrence_of(X100,tptp1) )
& next_subocc(X99,X100,tptp0)
& leaf(X100,tptp0) ) ),
inference(fof_simplification,[status(thm)],[sos_32]) ).
fof(c_0_5,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,tptp2)
| occurrence_of(X104,tptp1) )
& min_precedes(X103,X104,tptp0)
& leaf(X104,tptp0) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goals])]) ).
fof(c_0_6,plain,
! [X217,X218] :
( ( occurrence_of(esk15_1(X217),tptp3)
| ~ occurrence_of(X218,tptp0)
| ~ subactivity_occurrence(X217,X218)
| ~ arboreal(X217)
| leaf_occ(X217,X218) )
& ( next_subocc(X217,esk15_1(X217),tptp0)
| ~ occurrence_of(X218,tptp0)
| ~ subactivity_occurrence(X217,X218)
| ~ arboreal(X217)
| leaf_occ(X217,X218) )
& ( occurrence_of(esk16_1(X217),tptp4)
| ~ occurrence_of(X218,tptp0)
| ~ subactivity_occurrence(X217,X218)
| ~ arboreal(X217)
| leaf_occ(X217,X218) )
& ( next_subocc(esk15_1(X217),esk16_1(X217),tptp0)
| ~ occurrence_of(X218,tptp0)
| ~ subactivity_occurrence(X217,X218)
| ~ arboreal(X217)
| leaf_occ(X217,X218) )
& ( occurrence_of(esk17_1(X217),tptp2)
| occurrence_of(esk17_1(X217),tptp1)
| ~ occurrence_of(X218,tptp0)
| ~ subactivity_occurrence(X217,X218)
| ~ arboreal(X217)
| leaf_occ(X217,X218) )
& ( next_subocc(esk16_1(X217),esk17_1(X217),tptp0)
| ~ occurrence_of(X218,tptp0)
| ~ subactivity_occurrence(X217,X218)
| ~ arboreal(X217)
| leaf_occ(X217,X218) )
& ( leaf(esk17_1(X217),tptp0)
| ~ occurrence_of(X218,tptp0)
| ~ subactivity_occurrence(X217,X218)
| ~ arboreal(X217)
| leaf_occ(X217,X218) ) ),
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_4])])])])])]) ).
fof(c_0_7,negated_conjecture,
! [X224,X225] :
( occurrence_of(esk19_0,tptp0)
& subactivity_occurrence(esk18_0,esk19_0)
& arboreal(esk18_0)
& ~ leaf_occ(esk18_0,esk19_0)
& ( ~ occurrence_of(X225,tptp2)
| ~ occurrence_of(X224,tptp3)
| ~ next_subocc(esk18_0,X224,tptp0)
| ~ min_precedes(X224,X225,tptp0)
| ~ leaf(X225,tptp0) )
& ( ~ occurrence_of(X225,tptp1)
| ~ occurrence_of(X224,tptp3)
| ~ next_subocc(esk18_0,X224,tptp0)
| ~ min_precedes(X224,X225,tptp0)
| ~ leaf(X225,tptp0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])]) ).
cnf(c_0_8,plain,
( next_subocc(esk16_1(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_6]) ).
cnf(c_0_9,negated_conjecture,
occurrence_of(esk19_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,plain,
( leaf(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_6]) ).
fof(c_0_11,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_12,negated_conjecture,
( next_subocc(esk16_1(X1),esk17_1(X1),tptp0)
| leaf_occ(X1,esk19_0)
| ~ subactivity_occurrence(X1,esk19_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
subactivity_occurrence(esk18_0,esk19_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,negated_conjecture,
arboreal(esk18_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,negated_conjecture,
~ leaf_occ(esk18_0,esk19_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,plain,
( next_subocc(esk15_1(X1),esk16_1(X1),tptp0)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_17,negated_conjecture,
( leaf(esk17_1(X1),tptp0)
| leaf_occ(X1,esk19_0)
| ~ subactivity_occurrence(X1,esk19_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_18,plain,
( occurrence_of(esk17_1(X1),tptp2)
| 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_6]) ).
fof(c_0_19,plain,
! [X105,X106,X107,X108] :
( ~ min_precedes(X105,X106,X108)
| ~ min_precedes(X106,X107,X108)
| min_precedes(X105,X107,X108) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos])]) ).
cnf(c_0_20,plain,
( min_precedes(X1,X2,X3)
| ~ next_subocc(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21,negated_conjecture,
next_subocc(esk16_1(esk18_0),esk17_1(esk18_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),c_0_15]) ).
cnf(c_0_22,negated_conjecture,
( next_subocc(esk15_1(X1),esk16_1(X1),tptp0)
| leaf_occ(X1,esk19_0)
| ~ subactivity_occurrence(X1,esk19_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_9]) ).
cnf(c_0_23,negated_conjecture,
( ~ occurrence_of(X1,tptp1)
| ~ occurrence_of(X2,tptp3)
| ~ next_subocc(esk18_0,X2,tptp0)
| ~ min_precedes(X2,X1,tptp0)
| ~ leaf(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_24,negated_conjecture,
leaf(esk17_1(esk18_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_13]),c_0_14])]),c_0_15]) ).
cnf(c_0_25,negated_conjecture,
( leaf_occ(X1,esk19_0)
| occurrence_of(esk17_1(X1),tptp1)
| occurrence_of(esk17_1(X1),tptp2)
| ~ subactivity_occurrence(X1,esk19_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_9]) ).
cnf(c_0_26,negated_conjecture,
( ~ occurrence_of(X1,tptp2)
| ~ occurrence_of(X2,tptp3)
| ~ next_subocc(esk18_0,X2,tptp0)
| ~ min_precedes(X2,X1,tptp0)
| ~ leaf(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_27,plain,
( occurrence_of(esk15_1(X1),tptp3)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_28,plain,
( next_subocc(X1,esk15_1(X1),tptp0)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_29,plain,
( min_precedes(X1,X4,X3)
| ~ min_precedes(X1,X2,X3)
| ~ min_precedes(X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_30,negated_conjecture,
min_precedes(esk16_1(esk18_0),esk17_1(esk18_0),tptp0),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_31,negated_conjecture,
next_subocc(esk15_1(esk18_0),esk16_1(esk18_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_13]),c_0_14])]),c_0_15]) ).
cnf(c_0_32,negated_conjecture,
( ~ next_subocc(esk18_0,X1,tptp0)
| ~ occurrence_of(esk17_1(esk18_0),tptp1)
| ~ occurrence_of(X1,tptp3)
| ~ min_precedes(X1,esk17_1(esk18_0),tptp0) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_33,negated_conjecture,
( occurrence_of(esk17_1(esk18_0),tptp2)
| occurrence_of(esk17_1(esk18_0),tptp1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_13]),c_0_14])]),c_0_15]) ).
cnf(c_0_34,negated_conjecture,
( ~ next_subocc(esk18_0,X1,tptp0)
| ~ occurrence_of(esk17_1(esk18_0),tptp2)
| ~ occurrence_of(X1,tptp3)
| ~ min_precedes(X1,esk17_1(esk18_0),tptp0) ),
inference(spm,[status(thm)],[c_0_26,c_0_24]) ).
cnf(c_0_35,negated_conjecture,
( leaf_occ(X1,esk19_0)
| occurrence_of(esk15_1(X1),tptp3)
| ~ subactivity_occurrence(X1,esk19_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_9]) ).
cnf(c_0_36,negated_conjecture,
( next_subocc(X1,esk15_1(X1),tptp0)
| leaf_occ(X1,esk19_0)
| ~ subactivity_occurrence(X1,esk19_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_9]) ).
cnf(c_0_37,negated_conjecture,
( min_precedes(X1,esk17_1(esk18_0),tptp0)
| ~ min_precedes(X1,esk16_1(esk18_0),tptp0) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_38,negated_conjecture,
min_precedes(esk15_1(esk18_0),esk16_1(esk18_0),tptp0),
inference(spm,[status(thm)],[c_0_20,c_0_31]) ).
cnf(c_0_39,negated_conjecture,
( ~ next_subocc(esk18_0,X1,tptp0)
| ~ occurrence_of(X1,tptp3)
| ~ min_precedes(X1,esk17_1(esk18_0),tptp0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_40,negated_conjecture,
occurrence_of(esk15_1(esk18_0),tptp3),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_13]),c_0_14])]),c_0_15]) ).
cnf(c_0_41,negated_conjecture,
next_subocc(esk18_0,esk15_1(esk18_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_13]),c_0_14])]),c_0_15]) ).
cnf(c_0_42,negated_conjecture,
min_precedes(esk15_1(esk18_0),esk17_1(esk18_0),tptp0),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_42])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PRO014+2 : 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
% 0.13/0.34 % Computer : n016.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 19:43:00 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.52/0.60 % Version : CSE_E---1.5
% 0.52/0.60 % Problem : theBenchmark.p
% 0.52/0.60 % Proof found
% 0.52/0.60 % SZS status Theorem for theBenchmark.p
% 0.52/0.60 % SZS output start Proof
% See solution above
% 0.52/0.60 % Total time : 0.032000 s
% 0.52/0.60 % SZS output end Proof
% 0.52/0.60 % Total time : 0.036000 s
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