%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ITP005+5 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% 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 : 600s
% DateTime : Sat Jul 16 22:33:59 EDT 2022
% Result : Theorem 19.92s 5.36s
% Output : CNFRefutation 19.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 9 unt; 0 def)
% Number of atoms : 54 ( 15 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 54 ( 21 ~; 16 |; 3 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 30 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_thm_2Eset__relation_2Erel__to__reln__inv,conjecture,
! [X9] :
( ne(X9)
=> ! [X11] :
( ne(X11)
=> ! [X178] :
( mem(X178,arr(X9,arr(X11,bool)))
=> ap(c_2Eset__relation_2Ereln__to__rel(X9,X11),ap(c_2Eset__relation_2Erel__to__reln(X9,X11),X178)) = X178 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Eset__relation_2Erel__to__reln__inv) ).
fof(conj_thm_2Eset__relation_2Erel__to__reln__IS__UNCURRY,axiom,
! [X9] :
( ne(X9)
=> ! [X11] :
( ne(X11)
=> c_2Eset__relation_2Erel__to__reln(X9,X11) = c_2Epair_2EUNCURRY(X9,X11,bool) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Eset__relation_2Erel__to__reln__IS__UNCURRY) ).
fof(conj_thm_2Eset__relation_2Ereln__to__rel__IS__CURRY,axiom,
! [X9] :
( ne(X9)
=> ! [X11] :
( ne(X11)
=> c_2Eset__relation_2Ereln__to__rel(X9,X11) = c_2Epair_2ECURRY(X9,X11,bool) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Eset__relation_2Ereln__to__rel__IS__CURRY) ).
fof(conj_thm_2Epair_2ECURRY__UNCURRY__THM,axiom,
! [X9] :
( ne(X9)
=> ! [X11] :
( ne(X11)
=> ! [X59] :
( ne(X59)
=> ! [X19] :
( mem(X19,arr(X9,arr(X11,X59)))
=> ap(c_2Epair_2ECURRY(X9,X11,X59),ap(c_2Epair_2EUNCURRY(X9,X11,X59),X19)) = X19 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP014+5.ax',conj_thm_2Epair_2ECURRY__UNCURRY__THM) ).
fof(bool_ne,axiom,
ne(bool),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP001+2.ax',bool_ne) ).
fof(c_0_5,negated_conjecture,
~ ! [X9] :
( ne(X9)
=> ! [X11] :
( ne(X11)
=> ! [X178] :
( mem(X178,arr(X9,arr(X11,bool)))
=> ap(c_2Eset__relation_2Ereln__to__rel(X9,X11),ap(c_2Eset__relation_2Erel__to__reln(X9,X11),X178)) = X178 ) ) ),
inference(assume_negation,[status(cth)],[conj_thm_2Eset__relation_2Erel__to__reln__inv]) ).
fof(c_0_6,negated_conjecture,
( ne(esk1_0)
& ne(esk2_0)
& mem(esk3_0,arr(esk1_0,arr(esk2_0,bool)))
& ap(c_2Eset__relation_2Ereln__to__rel(esk1_0,esk2_0),ap(c_2Eset__relation_2Erel__to__reln(esk1_0,esk2_0),esk3_0)) != esk3_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_7,plain,
! [X550,X551] :
( ~ ne(X550)
| ~ ne(X551)
| c_2Eset__relation_2Erel__to__reln(X550,X551) = c_2Epair_2EUNCURRY(X550,X551,bool) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Eset__relation_2Erel__to__reln__IS__UNCURRY])])]) ).
cnf(c_0_8,negated_conjecture,
ap(c_2Eset__relation_2Ereln__to__rel(esk1_0,esk2_0),ap(c_2Eset__relation_2Erel__to__reln(esk1_0,esk2_0),esk3_0)) != esk3_0,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( c_2Eset__relation_2Erel__to__reln(X1,X2) = c_2Epair_2EUNCURRY(X1,X2,bool)
| ~ ne(X1)
| ~ ne(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,negated_conjecture,
ne(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
ne(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_12,plain,
! [X559,X560] :
( ~ ne(X559)
| ~ ne(X560)
| c_2Eset__relation_2Ereln__to__rel(X559,X560) = c_2Epair_2ECURRY(X559,X560,bool) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Eset__relation_2Ereln__to__rel__IS__CURRY])])]) ).
cnf(c_0_13,negated_conjecture,
ap(c_2Eset__relation_2Ereln__to__rel(esk1_0,esk2_0),ap(c_2Epair_2EUNCURRY(esk1_0,esk2_0,bool),esk3_0)) != esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_11])]) ).
cnf(c_0_14,plain,
( c_2Eset__relation_2Ereln__to__rel(X1,X2) = c_2Epair_2ECURRY(X1,X2,bool)
| ~ ne(X1)
| ~ ne(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_15,plain,
! [X1227,X1228,X1229,X1230] :
( ~ ne(X1227)
| ~ ne(X1228)
| ~ ne(X1229)
| ~ mem(X1230,arr(X1227,arr(X1228,X1229)))
| ap(c_2Epair_2ECURRY(X1227,X1228,X1229),ap(c_2Epair_2EUNCURRY(X1227,X1228,X1229),X1230)) = X1230 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Epair_2ECURRY__UNCURRY__THM])])]) ).
cnf(c_0_16,negated_conjecture,
ap(c_2Epair_2ECURRY(esk1_0,esk2_0,bool),ap(c_2Epair_2EUNCURRY(esk1_0,esk2_0,bool),esk3_0)) != esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_10]),c_0_11])]) ).
cnf(c_0_17,plain,
( ap(c_2Epair_2ECURRY(X1,X2,X3),ap(c_2Epair_2EUNCURRY(X1,X2,X3),X4)) = X4
| ~ ne(X1)
| ~ ne(X2)
| ~ ne(X3)
| ~ mem(X4,arr(X1,arr(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_18,negated_conjecture,
mem(esk3_0,arr(esk1_0,arr(esk2_0,bool))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,plain,
ne(bool),
inference(split_conjunct,[status(thm)],[bool_ne]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]),c_0_10]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ITP005+5 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.11/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n018.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 : 600
% 0.13/0.34 % DateTime : Thu Jun 2 11:41:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.45/0.64 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/0.64 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.45/0.64 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.45/0.64 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 19.92/5.36 # ENIGMATIC: Solved by autoschedule:
% 19.92/5.36 # SinE strategy is gf120_h_gu_RUU_F100_L00500
% 19.92/5.36 # Trying AutoSched0 for 149 seconds
% 19.92/5.36 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 19.92/5.36 # and selection function SelectComplexExceptUniqMaxHorn.
% 19.92/5.36 #
% 19.92/5.36 # Preprocessing time : 0.136 s
% 19.92/5.36 # Presaturation interreduction done
% 19.92/5.36
% 19.92/5.36 # Proof found!
% 19.92/5.36 # SZS status Theorem
% 19.92/5.36 # SZS output start CNFRefutation
% See solution above
% 19.92/5.36 # Training examples: 0 positive, 0 negative
% 19.92/5.36
% 19.92/5.36 # -------------------------------------------------
% 19.92/5.36 # User time : 1.200 s
% 19.92/5.36 # System time : 0.052 s
% 19.92/5.36 # Total time : 1.252 s
% 19.92/5.36 # Maximum resident set size: 11164 pages
% 19.92/5.36
%------------------------------------------------------------------------------