TSTP Solution File: PRO017+4 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : PRO017+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n008.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 13:06:12 EDT 2023
% Result : Theorem 2.58s 2.65s
% Output : CNFRefutation 2.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 54
% Syntax : Number of formulae : 130 ( 27 unt; 39 typ; 0 def)
% Number of atoms : 345 ( 29 equ)
% Maximal formula atoms : 38 ( 3 avg)
% Number of connectives : 402 ( 148 ~; 170 |; 68 &)
% ( 4 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 60 ( 32 >; 28 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 7 con; 0-3 aty)
% Number of variables : 158 ( 3 sgn; 69 !; 17 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
occurrence_of: ( $i * $i ) > $o ).
tff(decl_23,type,
atomic: $i > $o ).
tff(decl_24,type,
root: ( $i * $i ) > $o ).
tff(decl_25,type,
subactivity_occurrence: ( $i * $i ) > $o ).
tff(decl_26,type,
root_occ: ( $i * $i ) > $o ).
tff(decl_27,type,
leaf_occ: ( $i * $i ) > $o ).
tff(decl_28,type,
min_precedes: ( $i * $i * $i ) > $o ).
tff(decl_29,type,
arboreal: $i > $o ).
tff(decl_30,type,
activity: $i > $o ).
tff(decl_31,type,
activity_occurrence: $i > $o ).
tff(decl_32,type,
subactivity: ( $i * $i ) > $o ).
tff(decl_33,type,
atocc: ( $i * $i ) > $o ).
tff(decl_34,type,
leaf: ( $i * $i ) > $o ).
tff(decl_35,type,
legal: $i > $o ).
tff(decl_36,type,
earlier: ( $i * $i ) > $o ).
tff(decl_37,type,
precedes: ( $i * $i ) > $o ).
tff(decl_38,type,
next_subocc: ( $i * $i * $i ) > $o ).
tff(decl_39,type,
tptp0: $i ).
tff(decl_40,type,
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_2: ( $i * $i ) > $i ).
tff(decl_45,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_46,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_47,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_48,type,
esk5_1: $i > $i ).
tff(decl_49,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_50,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_51,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_52,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_53,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_54,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_55,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_56,type,
esk13_1: $i > $i ).
tff(decl_57,type,
esk14_1: $i > $i ).
tff(decl_58,type,
esk15_1: $i > $i ).
tff(decl_59,type,
esk16_0: $i ).
tff(decl_60,type,
esk17_0: $i ).
fof(sos_32,axiom,
! [X102,X103] :
( ( occurrence_of(X103,tptp0)
& subactivity_occurrence(X102,X103)
& arboreal(X102)
& ~ leaf_occ(X102,X103) )
=> ? [X104,X105,X106] :
( occurrence_of(X104,tptp3)
& next_subocc(X102,X104,tptp0)
& occurrence_of(X105,tptp4)
& min_precedes(X104,X105,tptp0)
& ( occurrence_of(X106,tptp2)
| occurrence_of(X106,tptp1) )
& min_precedes(X105,X106,tptp0)
& ! [X107] :
( min_precedes(X104,X107,tptp0)
=> ( X107 = X105
| X107 = X106 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
fof(goals,conjecture,
! [X108,X109] :
( ( occurrence_of(X109,tptp0)
& subactivity_occurrence(X108,X109)
& arboreal(X108)
& ~ leaf_occ(X108,X109) )
=> ? [X110,X111] :
( occurrence_of(X110,tptp3)
& next_subocc(X108,X110,tptp0)
& ( occurrence_of(X111,tptp2)
| occurrence_of(X111,tptp1) )
& min_precedes(X110,X111,tptp0)
& leaf(X111,tptp0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(sos_08,axiom,
! [X29,X30,X31] :
( ( occurrence_of(X29,X30)
& occurrence_of(X29,X31) )
=> X30 = X31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(sos_12,axiom,
! [X42] :
( activity_occurrence(X42)
=> ? [X43] :
( activity(X43)
& occurrence_of(X42,X43) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_12) ).
fof(sos_03,axiom,
! [X13,X14] :
( occurrence_of(X14,X13)
=> ( activity(X13)
& activity_occurrence(X14) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
fof(sos_06,axiom,
! [X22,X23,X24] :
( min_precedes(X23,X24,X22)
=> ? [X25] :
( occurrence_of(X25,X22)
& subactivity_occurrence(X23,X25)
& subactivity_occurrence(X24,X25) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06) ).
fof(sos_18,axiom,
! [X56,X57] :
( leaf_occ(X56,X57)
<=> ? [X58] :
( occurrence_of(X57,X58)
& subactivity_occurrence(X56,X57)
& leaf(X56,X58) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_18) ).
fof(sos_26,axiom,
! [X79,X80,X81] :
( next_subocc(X79,X80,X81)
<=> ( min_precedes(X79,X80,X81)
& ~ ? [X82] :
( min_precedes(X79,X82,X81)
& min_precedes(X82,X80,X81) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_26) ).
fof(sos_16,axiom,
! [X52,X53] :
( occurrence_of(X52,X53)
=> ( arboreal(X52)
<=> atomic(X53) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_16) ).
fof(sos_38,axiom,
atomic(tptp3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_38) ).
fof(sos_15,axiom,
! [X48,X49] :
( leaf(X48,X49)
<=> ( ( root(X48,X49)
| ? [X50] : min_precedes(X50,X48,X49) )
& ~ ? [X51] : min_precedes(X48,X51,X49) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_15) ).
fof(sos_09,axiom,
! [X32,X33,X34] :
( ( occurrence_of(X32,X34)
& leaf_occ(X33,X32) )
=> ~ ? [X35] : min_precedes(X33,X35,X34) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_09) ).
fof(sos_39,axiom,
tptp4 != tptp3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_39) ).
fof(sos_43,axiom,
tptp3 != tptp1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_43) ).
fof(sos_42,axiom,
tptp3 != tptp2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_42) ).
fof(c_0_15,plain,
! [X102,X103] :
( ( occurrence_of(X103,tptp0)
& subactivity_occurrence(X102,X103)
& arboreal(X102)
& ~ leaf_occ(X102,X103) )
=> ? [X104,X105,X106] :
( occurrence_of(X104,tptp3)
& next_subocc(X102,X104,tptp0)
& occurrence_of(X105,tptp4)
& min_precedes(X104,X105,tptp0)
& ( occurrence_of(X106,tptp2)
| occurrence_of(X106,tptp1) )
& min_precedes(X105,X106,tptp0)
& ! [X107] :
( min_precedes(X104,X107,tptp0)
=> ( X107 = X105
| X107 = X106 ) ) ) ),
inference(fof_simplification,[status(thm)],[sos_32]) ).
fof(c_0_16,negated_conjecture,
~ ! [X108,X109] :
( ( occurrence_of(X109,tptp0)
& subactivity_occurrence(X108,X109)
& arboreal(X108)
& ~ leaf_occ(X108,X109) )
=> ? [X110,X111] :
( occurrence_of(X110,tptp3)
& next_subocc(X108,X110,tptp0)
& ( occurrence_of(X111,tptp2)
| occurrence_of(X111,tptp1) )
& min_precedes(X110,X111,tptp0)
& leaf(X111,tptp0) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goals])]) ).
fof(c_0_17,plain,
! [X230,X231,X235] :
( ( occurrence_of(esk13_1(X230),tptp3)
| ~ occurrence_of(X231,tptp0)
| ~ subactivity_occurrence(X230,X231)
| ~ arboreal(X230)
| leaf_occ(X230,X231) )
& ( next_subocc(X230,esk13_1(X230),tptp0)
| ~ occurrence_of(X231,tptp0)
| ~ subactivity_occurrence(X230,X231)
| ~ arboreal(X230)
| leaf_occ(X230,X231) )
& ( occurrence_of(esk14_1(X230),tptp4)
| ~ occurrence_of(X231,tptp0)
| ~ subactivity_occurrence(X230,X231)
| ~ arboreal(X230)
| leaf_occ(X230,X231) )
& ( min_precedes(esk13_1(X230),esk14_1(X230),tptp0)
| ~ occurrence_of(X231,tptp0)
| ~ subactivity_occurrence(X230,X231)
| ~ arboreal(X230)
| leaf_occ(X230,X231) )
& ( occurrence_of(esk15_1(X230),tptp2)
| occurrence_of(esk15_1(X230),tptp1)
| ~ occurrence_of(X231,tptp0)
| ~ subactivity_occurrence(X230,X231)
| ~ arboreal(X230)
| leaf_occ(X230,X231) )
& ( min_precedes(esk14_1(X230),esk15_1(X230),tptp0)
| ~ occurrence_of(X231,tptp0)
| ~ subactivity_occurrence(X230,X231)
| ~ arboreal(X230)
| leaf_occ(X230,X231) )
& ( ~ min_precedes(esk13_1(X230),X235,tptp0)
| X235 = esk14_1(X230)
| X235 = esk15_1(X230)
| ~ occurrence_of(X231,tptp0)
| ~ subactivity_occurrence(X230,X231)
| ~ arboreal(X230)
| leaf_occ(X230,X231) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])])]) ).
fof(c_0_18,negated_conjecture,
! [X238,X239] :
( occurrence_of(esk17_0,tptp0)
& subactivity_occurrence(esk16_0,esk17_0)
& arboreal(esk16_0)
& ~ leaf_occ(esk16_0,esk17_0)
& ( ~ occurrence_of(X239,tptp2)
| ~ occurrence_of(X238,tptp3)
| ~ next_subocc(esk16_0,X238,tptp0)
| ~ min_precedes(X238,X239,tptp0)
| ~ leaf(X239,tptp0) )
& ( ~ occurrence_of(X239,tptp1)
| ~ occurrence_of(X238,tptp3)
| ~ next_subocc(esk16_0,X238,tptp0)
| ~ min_precedes(X238,X239,tptp0)
| ~ leaf(X239,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_16])])])])]) ).
fof(c_0_19,plain,
! [X140,X141,X142] :
( ~ occurrence_of(X140,X141)
| ~ occurrence_of(X140,X142)
| X141 = X142 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_08])]) ).
fof(c_0_20,plain,
! [X153] :
( ( activity(esk5_1(X153))
| ~ activity_occurrence(X153) )
& ( occurrence_of(X153,esk5_1(X153))
| ~ activity_occurrence(X153) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_12])])])]) ).
fof(c_0_21,plain,
! [X124,X125] :
( ( activity(X124)
| ~ occurrence_of(X125,X124) )
& ( activity_occurrence(X125)
| ~ occurrence_of(X125,X124) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_03])])]) ).
fof(c_0_22,plain,
! [X133,X134,X135] :
( ( occurrence_of(esk3_3(X133,X134,X135),X133)
| ~ min_precedes(X134,X135,X133) )
& ( subactivity_occurrence(X134,esk3_3(X133,X134,X135))
| ~ min_precedes(X134,X135,X133) )
& ( subactivity_occurrence(X135,esk3_3(X133,X134,X135))
| ~ min_precedes(X134,X135,X133) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_06])])])]) ).
cnf(c_0_23,plain,
( next_subocc(X1,esk13_1(X1),tptp0)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,negated_conjecture,
occurrence_of(esk17_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,plain,
( occurrence_of(esk13_1(X1),tptp3)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,plain,
( X2 = X3
| ~ occurrence_of(X1,X2)
| ~ occurrence_of(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,plain,
( occurrence_of(X1,esk5_1(X1))
| ~ activity_occurrence(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,plain,
( activity_occurrence(X1)
| ~ occurrence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_29,plain,
! [X174,X175,X177,X178,X179] :
( ( occurrence_of(X175,esk9_2(X174,X175))
| ~ leaf_occ(X174,X175) )
& ( subactivity_occurrence(X174,X175)
| ~ leaf_occ(X174,X175) )
& ( leaf(X174,esk9_2(X174,X175))
| ~ leaf_occ(X174,X175) )
& ( ~ occurrence_of(X178,X179)
| ~ subactivity_occurrence(X177,X178)
| ~ leaf(X177,X179)
| leaf_occ(X177,X178) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_18])])])])])]) ).
cnf(c_0_30,plain,
( occurrence_of(esk3_3(X1,X2,X3),X1)
| ~ min_precedes(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_31,plain,
! [X203,X204,X205,X206,X207,X208,X209] :
( ( min_precedes(X203,X204,X205)
| ~ next_subocc(X203,X204,X205) )
& ( ~ min_precedes(X203,X206,X205)
| ~ min_precedes(X206,X204,X205)
| ~ next_subocc(X203,X204,X205) )
& ( min_precedes(X207,esk12_3(X207,X208,X209),X209)
| ~ min_precedes(X207,X208,X209)
| next_subocc(X207,X208,X209) )
& ( min_precedes(esk12_3(X207,X208,X209),X208,X209)
| ~ min_precedes(X207,X208,X209)
| next_subocc(X207,X208,X209) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_26])])])])])]) ).
cnf(c_0_32,negated_conjecture,
( next_subocc(X1,esk13_1(X1),tptp0)
| leaf_occ(X1,esk17_0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk17_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_33,negated_conjecture,
subactivity_occurrence(esk16_0,esk17_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_34,negated_conjecture,
arboreal(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_35,negated_conjecture,
~ leaf_occ(esk16_0,esk17_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_36,plain,
! [X170,X171] :
( ( ~ arboreal(X170)
| atomic(X171)
| ~ occurrence_of(X170,X171) )
& ( ~ atomic(X171)
| arboreal(X170)
| ~ occurrence_of(X170,X171) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_16])])]) ).
cnf(c_0_37,negated_conjecture,
( leaf_occ(X1,esk17_0)
| occurrence_of(esk13_1(X1),tptp3)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk17_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_24]) ).
cnf(c_0_38,plain,
( X1 = esk5_1(X2)
| ~ occurrence_of(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_39,plain,
( occurrence_of(X1,esk9_2(X2,X1))
| ~ leaf_occ(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_40,plain,
( next_subocc(X1,esk13_1(X1),tptp0)
| leaf_occ(X1,esk3_3(tptp0,X2,X3))
| ~ arboreal(X1)
| ~ min_precedes(X2,X3,tptp0)
| ~ subactivity_occurrence(X1,esk3_3(tptp0,X2,X3)) ),
inference(spm,[status(thm)],[c_0_23,c_0_30]) ).
cnf(c_0_41,plain,
( subactivity_occurrence(X1,esk3_3(X2,X3,X1))
| ~ min_precedes(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_42,plain,
( min_precedes(X1,X2,X3)
| ~ next_subocc(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_43,negated_conjecture,
next_subocc(esk16_0,esk13_1(esk16_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]),c_0_35]) ).
cnf(c_0_44,plain,
( arboreal(X2)
| ~ atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_45,negated_conjecture,
occurrence_of(esk13_1(esk16_0),tptp3),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_33]),c_0_34])]),c_0_35]) ).
cnf(c_0_46,plain,
atomic(tptp3),
inference(split_conjunct,[status(thm)],[sos_38]) ).
cnf(c_0_47,plain,
( min_precedes(esk13_1(X1),esk14_1(X1),tptp0)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_48,plain,
( leaf(X1,esk9_2(X1,X2))
| ~ leaf_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_49,plain,
( esk9_2(X1,X2) = esk5_1(X2)
| ~ leaf_occ(X1,X2) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_50,plain,
( next_subocc(X1,esk13_1(X1),tptp0)
| leaf_occ(X1,esk3_3(tptp0,X2,X1))
| ~ arboreal(X1)
| ~ min_precedes(X2,X1,tptp0) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_51,negated_conjecture,
min_precedes(esk16_0,esk13_1(esk16_0),tptp0),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_52,negated_conjecture,
arboreal(esk13_1(esk16_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]) ).
fof(c_0_53,plain,
! [X162,X163,X165,X166,X167,X168] :
( ( root(X162,X163)
| min_precedes(esk7_2(X162,X163),X162,X163)
| ~ leaf(X162,X163) )
& ( ~ min_precedes(X162,X165,X163)
| ~ leaf(X162,X163) )
& ( ~ root(X166,X167)
| min_precedes(X166,esk8_2(X166,X167),X167)
| leaf(X166,X167) )
& ( ~ min_precedes(X168,X166,X167)
| min_precedes(X166,esk8_2(X166,X167),X167)
| leaf(X166,X167) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_15])])])])])]) ).
cnf(c_0_54,negated_conjecture,
( min_precedes(esk13_1(X1),esk14_1(X1),tptp0)
| leaf_occ(X1,esk17_0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk17_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_24]) ).
cnf(c_0_55,plain,
( leaf(X1,esk5_1(X2))
| ~ leaf_occ(X1,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_56,plain,
( esk5_1(esk3_3(X1,X2,X3)) = X1
| ~ min_precedes(X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_30]) ).
cnf(c_0_57,negated_conjecture,
( next_subocc(esk13_1(esk16_0),esk13_1(esk13_1(esk16_0)),tptp0)
| leaf_occ(esk13_1(esk16_0),esk3_3(tptp0,esk16_0,esk13_1(esk16_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]) ).
cnf(c_0_58,plain,
( ~ min_precedes(X1,X2,X3)
| ~ leaf(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_59,negated_conjecture,
min_precedes(esk13_1(esk16_0),esk14_1(esk16_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_33]),c_0_34])]),c_0_35]) ).
fof(c_0_60,plain,
! [X143,X144,X145,X146] :
( ~ occurrence_of(X143,X145)
| ~ leaf_occ(X144,X143)
| ~ min_precedes(X144,X146,X145) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_09])])]) ).
cnf(c_0_61,plain,
( leaf_occ(X1,esk3_3(tptp0,X2,X3))
| occurrence_of(esk13_1(X1),tptp3)
| ~ arboreal(X1)
| ~ min_precedes(X2,X3,tptp0)
| ~ subactivity_occurrence(X1,esk3_3(tptp0,X2,X3)) ),
inference(spm,[status(thm)],[c_0_25,c_0_30]) ).
cnf(c_0_62,plain,
( leaf(X1,X2)
| ~ min_precedes(X3,X4,X2)
| ~ leaf_occ(X1,esk3_3(X2,X3,X4)) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_63,negated_conjecture,
( min_precedes(esk13_1(esk16_0),esk13_1(esk13_1(esk16_0)),tptp0)
| leaf_occ(esk13_1(esk16_0),esk3_3(tptp0,esk16_0,esk13_1(esk16_0))) ),
inference(spm,[status(thm)],[c_0_42,c_0_57]) ).
cnf(c_0_64,negated_conjecture,
~ leaf(esk13_1(esk16_0),tptp0),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_65,plain,
( ~ occurrence_of(X1,X2)
| ~ leaf_occ(X3,X1)
| ~ min_precedes(X3,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_66,plain,
( leaf_occ(X1,esk3_3(tptp0,X2,X1))
| occurrence_of(esk13_1(X1),tptp3)
| ~ arboreal(X1)
| ~ min_precedes(X2,X1,tptp0) ),
inference(spm,[status(thm)],[c_0_61,c_0_41]) ).
cnf(c_0_67,plain,
( X2 = esk14_1(X1)
| X2 = esk15_1(X1)
| leaf_occ(X1,X3)
| ~ min_precedes(esk13_1(X1),X2,tptp0)
| ~ occurrence_of(X3,tptp0)
| ~ subactivity_occurrence(X1,X3)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_68,negated_conjecture,
min_precedes(esk13_1(esk16_0),esk13_1(esk13_1(esk16_0)),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_51])]),c_0_64]) ).
cnf(c_0_69,negated_conjecture,
( ~ leaf_occ(esk16_0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_65,c_0_51]) ).
cnf(c_0_70,plain,
( occurrence_of(esk14_1(X1),tptp4)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_71,plain,
( occurrence_of(esk15_1(X1),tptp2)
| occurrence_of(esk15_1(X1),tptp1)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_72,negated_conjecture,
( leaf_occ(esk13_1(esk16_0),esk3_3(tptp0,esk16_0,esk13_1(esk16_0)))
| occurrence_of(esk13_1(esk13_1(esk16_0)),tptp3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_51]),c_0_52])]) ).
cnf(c_0_73,negated_conjecture,
( esk13_1(esk13_1(esk16_0)) = esk15_1(esk16_0)
| esk13_1(esk13_1(esk16_0)) = esk14_1(esk16_0)
| ~ subactivity_occurrence(esk16_0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_34])]),c_0_69]) ).
cnf(c_0_74,negated_conjecture,
( leaf_occ(X1,esk17_0)
| occurrence_of(esk14_1(X1),tptp4)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk17_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_24]) ).
cnf(c_0_75,negated_conjecture,
( leaf_occ(X1,esk17_0)
| occurrence_of(esk15_1(X1),tptp1)
| occurrence_of(esk15_1(X1),tptp2)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk17_0) ),
inference(spm,[status(thm)],[c_0_71,c_0_24]) ).
cnf(c_0_76,negated_conjecture,
occurrence_of(esk13_1(esk13_1(esk16_0)),tptp3),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_72]),c_0_51])]),c_0_64]) ).
cnf(c_0_77,negated_conjecture,
( esk13_1(esk13_1(esk16_0)) = esk14_1(esk16_0)
| esk13_1(esk13_1(esk16_0)) = esk15_1(esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_33]),c_0_24])]) ).
cnf(c_0_78,negated_conjecture,
occurrence_of(esk14_1(esk16_0),tptp4),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_33]),c_0_34])]),c_0_35]) ).
cnf(c_0_79,negated_conjecture,
( occurrence_of(esk15_1(esk16_0),tptp2)
| occurrence_of(esk15_1(esk16_0),tptp1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_33]),c_0_34])]),c_0_35]) ).
cnf(c_0_80,negated_conjecture,
esk5_1(esk13_1(esk13_1(esk16_0))) = tptp3,
inference(spm,[status(thm)],[c_0_38,c_0_76]) ).
cnf(c_0_81,negated_conjecture,
( esk13_1(esk13_1(esk16_0)) = esk14_1(esk16_0)
| occurrence_of(esk15_1(esk16_0),tptp3) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_82,negated_conjecture,
esk5_1(esk14_1(esk16_0)) = tptp4,
inference(spm,[status(thm)],[c_0_38,c_0_78]) ).
cnf(c_0_83,plain,
tptp4 != tptp3,
inference(split_conjunct,[status(thm)],[sos_39]) ).
cnf(c_0_84,negated_conjecture,
( X1 = tptp1
| occurrence_of(esk15_1(esk16_0),tptp2)
| ~ occurrence_of(esk15_1(esk16_0),X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_79]) ).
cnf(c_0_85,negated_conjecture,
occurrence_of(esk15_1(esk16_0),tptp3),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]),c_0_83]) ).
cnf(c_0_86,plain,
tptp3 != tptp1,
inference(split_conjunct,[status(thm)],[sos_43]) ).
cnf(c_0_87,negated_conjecture,
occurrence_of(esk15_1(esk16_0),tptp2),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]) ).
cnf(c_0_88,negated_conjecture,
esk5_1(esk15_1(esk16_0)) = tptp3,
inference(spm,[status(thm)],[c_0_38,c_0_85]) ).
cnf(c_0_89,plain,
tptp3 != tptp2,
inference(split_conjunct,[status(thm)],[sos_42]) ).
cnf(c_0_90,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_87]),c_0_88]),c_0_89]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PRO017+4 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.17/0.34 % Computer : n008.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Mon Aug 28 19:28:32 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.20/0.59 start to proof: theBenchmark
% 2.58/2.65 % Version : CSE_E---1.5
% 2.58/2.65 % Problem : theBenchmark.p
% 2.58/2.65 % Proof found
% 2.58/2.65 % SZS status Theorem for theBenchmark.p
% 2.58/2.65 % SZS output start Proof
% See solution above
% 2.64/2.66 % Total time : 2.050000 s
% 2.64/2.66 % SZS output end Proof
% 2.64/2.66 % Total time : 2.054000 s
%------------------------------------------------------------------------------