%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ITP004+5 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n022.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 : 600s
% DateTime : Sat Jul 16 22:33:58 EDT 2022
% Result : Theorem 23.11s 5.94s
% Output : CNFRefutation 23.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 47 ( 7 unt; 0 def)
% Number of atoms : 149 ( 20 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 168 ( 66 ~; 70 |; 5 &)
% ( 1 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 76 ( 1 sgn 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_thm_2Epred__set_2EREST__SUBSET,conjecture,
! [X9] :
( ne(X9)
=> ! [X168] :
( mem(X168,arr(X9,bool))
=> p(ap(ap(c_2Epred__set_2ESUBSET(X9),ap(c_2Epred__set_2EREST(X9),X168)),X168)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Epred__set_2EREST__SUBSET) ).
fof(conj_thm_2Epred__set_2ECHOICE__INSERT__REST,axiom,
! [X9] :
( ne(X9)
=> ! [X168] :
( mem(X168,arr(X9,bool))
=> ( X168 != c_2Epred__set_2EEMPTY(X9)
=> ap(ap(c_2Epred__set_2EINSERT(X9),ap(c_2Epred__set_2ECHOICE(X9),X168)),ap(c_2Epred__set_2EREST(X9),X168)) = X168 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Epred__set_2ECHOICE__INSERT__REST) ).
fof(conj_thm_2Epred__set_2ESUBSET__OF__INSERT,axiom,
! [X9] :
( ne(X9)
=> ! [X32] :
( mem(X32,X9)
=> ! [X148] :
( mem(X148,arr(X9,bool))
=> p(ap(ap(c_2Epred__set_2ESUBSET(X9),X148),ap(ap(c_2Epred__set_2EINSERT(X9),X32),X148))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Epred__set_2ESUBSET__OF__INSERT) ).
fof(ap_tp,axiom,
! [X1,X2,X3] :
( mem(X3,arr(X1,X2))
=> ! [X4] :
( mem(X4,X1)
=> mem(ap(X3,X4),X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ITP001/ITP001+2.ax',ap_tp) ).
fof(mem_c_2Epred__set_2EREST,axiom,
! [X9] :
( ne(X9)
=> mem(c_2Epred__set_2EREST(X9),arr(arr(X9,bool),arr(X9,bool))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Epred__set_2EREST) ).
fof(mem_c_2Epred__set_2ECHOICE,axiom,
! [X9] :
( ne(X9)
=> mem(c_2Epred__set_2ECHOICE(X9),arr(arr(X9,bool),X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Epred__set_2ECHOICE) ).
fof(conj_thm_2Epred__set_2EEMPTY__DELETE,axiom,
! [X9] :
( ne(X9)
=> ! [X32] :
( mem(X32,X9)
=> ap(ap(c_2Epred__set_2EDELETE(X9),c_2Epred__set_2EEMPTY(X9)),X32) = c_2Epred__set_2EEMPTY(X9) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Epred__set_2EEMPTY__DELETE) ).
fof(conj_thm_2Epred__set_2ESUBSET__applied,axiom,
! [X9] :
( ne(X9)
=> ! [X168] :
( mem(X168,arr(X9,bool))
=> ! [X42] :
( mem(X42,arr(X9,bool))
=> ( p(ap(ap(c_2Epred__set_2ESUBSET(X9),X168),X42))
<=> ! [X26] :
( mem(X26,X9)
=> ( p(ap(X168,X26))
=> p(ap(X42,X26)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Epred__set_2ESUBSET__applied) ).
fof(ax_thm_2Epred__set_2EREST__DEF,axiom,
! [X9] :
( ne(X9)
=> ! [X168] :
( mem(X168,arr(X9,bool))
=> ap(c_2Epred__set_2EREST(X9),X168) = ap(ap(c_2Epred__set_2EDELETE(X9),X168),ap(c_2Epred__set_2ECHOICE(X9),X168)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Epred__set_2EREST__DEF) ).
fof(conj_thm_2Epred__set_2EDELETE__SUBSET,axiom,
! [X9] :
( ne(X9)
=> ! [X32] :
( mem(X32,X9)
=> ! [X148] :
( mem(X148,arr(X9,bool))
=> p(ap(ap(c_2Epred__set_2ESUBSET(X9),ap(ap(c_2Epred__set_2EDELETE(X9),X148),X32)),X148)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Epred__set_2EDELETE__SUBSET) ).
fof(c_0_10,negated_conjecture,
~ ! [X9] :
( ne(X9)
=> ! [X168] :
( mem(X168,arr(X9,bool))
=> p(ap(ap(c_2Epred__set_2ESUBSET(X9),ap(c_2Epred__set_2EREST(X9),X168)),X168)) ) ),
inference(assume_negation,[status(cth)],[conj_thm_2Epred__set_2EREST__SUBSET]) ).
fof(c_0_11,plain,
! [X900,X901] :
( ~ ne(X900)
| ~ mem(X901,arr(X900,bool))
| X901 = c_2Epred__set_2EEMPTY(X900)
| ap(ap(c_2Epred__set_2EINSERT(X900),ap(c_2Epred__set_2ECHOICE(X900),X901)),ap(c_2Epred__set_2EREST(X900),X901)) = X901 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Epred__set_2ECHOICE__INSERT__REST])])]) ).
fof(c_0_12,negated_conjecture,
( ne(esk1_0)
& mem(esk2_0,arr(esk1_0,bool))
& ~ p(ap(ap(c_2Epred__set_2ESUBSET(esk1_0),ap(c_2Epred__set_2EREST(esk1_0),esk2_0)),esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_13,plain,
! [X945,X946,X947] :
( ~ ne(X945)
| ~ mem(X946,X945)
| ~ mem(X947,arr(X945,bool))
| p(ap(ap(c_2Epred__set_2ESUBSET(X945),X947),ap(ap(c_2Epred__set_2EINSERT(X945),X946),X947))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Epred__set_2ESUBSET__OF__INSERT])])]) ).
cnf(c_0_14,plain,
( X2 = c_2Epred__set_2EEMPTY(X1)
| ap(ap(c_2Epred__set_2EINSERT(X1),ap(c_2Epred__set_2ECHOICE(X1),X2)),ap(c_2Epred__set_2EREST(X1),X2)) = X2
| ~ ne(X1)
| ~ mem(X2,arr(X1,bool)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,negated_conjecture,
mem(esk2_0,arr(esk1_0,bool)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,negated_conjecture,
ne(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_17,plain,
! [X950,X951,X952,X953] :
( ~ mem(X952,arr(X950,X951))
| ~ mem(X953,X950)
| mem(ap(X952,X953),X951) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ap_tp])])]) ).
fof(c_0_18,plain,
! [X889] :
( ~ ne(X889)
| mem(c_2Epred__set_2EREST(X889),arr(arr(X889,bool),arr(X889,bool))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mem_c_2Epred__set_2EREST])]) ).
cnf(c_0_19,plain,
( p(ap(ap(c_2Epred__set_2ESUBSET(X1),X3),ap(ap(c_2Epred__set_2EINSERT(X1),X2),X3)))
| ~ ne(X1)
| ~ mem(X2,X1)
| ~ mem(X3,arr(X1,bool)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,negated_conjecture,
( ap(ap(c_2Epred__set_2EINSERT(esk1_0),ap(c_2Epred__set_2ECHOICE(esk1_0),esk2_0)),ap(c_2Epred__set_2EREST(esk1_0),esk2_0)) = esk2_0
| c_2Epred__set_2EEMPTY(esk1_0) = esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
cnf(c_0_21,negated_conjecture,
~ p(ap(ap(c_2Epred__set_2ESUBSET(esk1_0),ap(c_2Epred__set_2EREST(esk1_0),esk2_0)),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_22,plain,
( mem(ap(X1,X4),X3)
| ~ mem(X1,arr(X2,X3))
| ~ mem(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
( mem(c_2Epred__set_2EREST(X1),arr(arr(X1,bool),arr(X1,bool)))
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_24,plain,
! [X1009] :
( ~ ne(X1009)
| mem(c_2Epred__set_2ECHOICE(X1009),arr(arr(X1009,bool),X1009)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mem_c_2Epred__set_2ECHOICE])]) ).
cnf(c_0_25,negated_conjecture,
( c_2Epred__set_2EEMPTY(esk1_0) = esk2_0
| ~ mem(ap(c_2Epred__set_2EREST(esk1_0),esk2_0),arr(esk1_0,bool))
| ~ mem(ap(c_2Epred__set_2ECHOICE(esk1_0),esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_16])]),c_0_21]) ).
cnf(c_0_26,plain,
( mem(ap(c_2Epred__set_2EREST(X1),X2),arr(X1,bool))
| ~ mem(X2,arr(X1,bool))
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,plain,
( mem(c_2Epred__set_2ECHOICE(X1),arr(arr(X1,bool),X1))
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_28,plain,
! [X1034,X1035] :
( ~ ne(X1034)
| ~ mem(X1035,X1034)
| ap(ap(c_2Epred__set_2EDELETE(X1034),c_2Epred__set_2EEMPTY(X1034)),X1035) = c_2Epred__set_2EEMPTY(X1034) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Epred__set_2EEMPTY__DELETE])])]) ).
cnf(c_0_29,negated_conjecture,
( c_2Epred__set_2EEMPTY(esk1_0) = esk2_0
| ~ mem(ap(c_2Epred__set_2ECHOICE(esk1_0),esk2_0),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_15]),c_0_16])]) ).
cnf(c_0_30,plain,
( mem(ap(c_2Epred__set_2ECHOICE(X1),X2),X1)
| ~ mem(X2,arr(X1,bool))
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_27]) ).
fof(c_0_31,plain,
! [X912,X913,X914,X915] :
( ( ~ p(ap(ap(c_2Epred__set_2ESUBSET(X912),X913),X914))
| ~ mem(X915,X912)
| ~ p(ap(X913,X915))
| p(ap(X914,X915))
| ~ mem(X914,arr(X912,bool))
| ~ mem(X913,arr(X912,bool))
| ~ ne(X912) )
& ( mem(esk79_3(X912,X913,X914),X912)
| p(ap(ap(c_2Epred__set_2ESUBSET(X912),X913),X914))
| ~ mem(X914,arr(X912,bool))
| ~ mem(X913,arr(X912,bool))
| ~ ne(X912) )
& ( p(ap(X913,esk79_3(X912,X913,X914)))
| p(ap(ap(c_2Epred__set_2ESUBSET(X912),X913),X914))
| ~ mem(X914,arr(X912,bool))
| ~ mem(X913,arr(X912,bool))
| ~ ne(X912) )
& ( ~ p(ap(X914,esk79_3(X912,X913,X914)))
| p(ap(ap(c_2Epred__set_2ESUBSET(X912),X913),X914))
| ~ mem(X914,arr(X912,bool))
| ~ mem(X913,arr(X912,bool))
| ~ ne(X912) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Epred__set_2ESUBSET__applied])])])])]) ).
fof(c_0_32,plain,
! [X890,X891] :
( ~ ne(X890)
| ~ mem(X891,arr(X890,bool))
| ap(c_2Epred__set_2EREST(X890),X891) = ap(ap(c_2Epred__set_2EDELETE(X890),X891),ap(c_2Epred__set_2ECHOICE(X890),X891)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax_thm_2Epred__set_2EREST__DEF])])]) ).
cnf(c_0_33,plain,
( ap(ap(c_2Epred__set_2EDELETE(X1),c_2Epred__set_2EEMPTY(X1)),X2) = c_2Epred__set_2EEMPTY(X1)
| ~ ne(X1)
| ~ mem(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,negated_conjecture,
c_2Epred__set_2EEMPTY(esk1_0) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_15]),c_0_16])]) ).
fof(c_0_35,plain,
! [X1046,X1047,X1048] :
( ~ ne(X1046)
| ~ mem(X1047,X1046)
| ~ mem(X1048,arr(X1046,bool))
| p(ap(ap(c_2Epred__set_2ESUBSET(X1046),ap(ap(c_2Epred__set_2EDELETE(X1046),X1048),X1047)),X1048)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Epred__set_2EDELETE__SUBSET])])]) ).
cnf(c_0_36,plain,
( mem(esk79_3(X1,X2,X3),X1)
| p(ap(ap(c_2Epred__set_2ESUBSET(X1),X2),X3))
| ~ mem(X3,arr(X1,bool))
| ~ mem(X2,arr(X1,bool))
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_37,plain,
( ap(c_2Epred__set_2EREST(X1),X2) = ap(ap(c_2Epred__set_2EDELETE(X1),X2),ap(c_2Epred__set_2ECHOICE(X1),X2))
| ~ ne(X1)
| ~ mem(X2,arr(X1,bool)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_38,negated_conjecture,
( ap(ap(c_2Epred__set_2EDELETE(esk1_0),esk2_0),X1) = esk2_0
| ~ mem(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_16])]) ).
cnf(c_0_39,plain,
( p(ap(ap(c_2Epred__set_2ESUBSET(X1),ap(ap(c_2Epred__set_2EDELETE(X1),X3),X2)),X3))
| ~ ne(X1)
| ~ mem(X2,X1)
| ~ mem(X3,arr(X1,bool)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_40,negated_conjecture,
( p(ap(ap(c_2Epred__set_2ESUBSET(esk1_0),X1),esk2_0))
| mem(esk79_3(esk1_0,X1,esk2_0),esk1_0)
| ~ mem(X1,arr(esk1_0,bool)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_15]),c_0_16])]) ).
cnf(c_0_41,negated_conjecture,
( ap(c_2Epred__set_2EREST(esk1_0),esk2_0) = esk2_0
| ~ mem(ap(c_2Epred__set_2ECHOICE(esk1_0),esk2_0),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_15]),c_0_16])]) ).
cnf(c_0_42,negated_conjecture,
( p(ap(ap(c_2Epred__set_2ESUBSET(esk1_0),esk2_0),esk2_0))
| ~ mem(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_38]),c_0_15]),c_0_16])]) ).
cnf(c_0_43,negated_conjecture,
( p(ap(ap(c_2Epred__set_2ESUBSET(esk1_0),esk2_0),esk2_0))
| mem(esk79_3(esk1_0,esk2_0,esk2_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_15]) ).
cnf(c_0_44,negated_conjecture,
ap(c_2Epred__set_2EREST(esk1_0),esk2_0) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_30]),c_0_15]),c_0_16])]) ).
cnf(c_0_45,negated_conjecture,
p(ap(ap(c_2Epred__set_2ESUBSET(esk1_0),esk2_0),esk2_0)),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_46,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_44]),c_0_45])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP004+5 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 2 13:00:53 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected SinE mode:
% 0.43/0.62 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/0.62 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.43/0.62 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.43/0.62 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 23.11/5.94 # ENIGMATIC: Solved by autoschedule:
% 23.11/5.94 # SinE strategy is gf120_h_gu_RUU_F100_L00500
% 23.11/5.94 # Trying AutoSched0 for 149 seconds
% 23.11/5.94 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 23.11/5.94 # and selection function SelectComplexExceptUniqMaxHorn.
% 23.11/5.94 #
% 23.11/5.94 # Preprocessing time : 0.158 s
% 23.11/5.94 # Presaturation interreduction done
% 23.11/5.94
% 23.11/5.94 # Proof found!
% 23.11/5.94 # SZS status Theorem
% 23.11/5.94 # SZS output start CNFRefutation
% See solution above
% 23.11/5.94 # Training examples: 0 positive, 0 negative
% 23.11/5.94
% 23.11/5.94 # -------------------------------------------------
% 23.11/5.94 # User time : 1.312 s
% 23.11/5.94 # System time : 0.034 s
% 23.11/5.94 # Total time : 1.347 s
% 23.11/5.94 # Maximum resident set size: 8852 pages
% 23.11/5.94
%------------------------------------------------------------------------------