TSTP Solution File: SWW339+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW339+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n032.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 : Thu Jul 21 00:02:02 EDT 2022
% Result : Theorem 9.78s 3.42s
% Output : CNFRefutation 9.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of clauses : 33 ( 14 unt; 4 nHn; 23 RR)
% Number of literals : 56 ( 5 equ; 21 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 49 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1058,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3) = X3
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X3),X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h_tv1ip9/lgb.p',i_0_1058) ).
cnf(i_0_32,hypothesis,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_ts_H)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h_tv1ip9/lgb.p',i_0_32) ).
cnf(i_0_1073,plain,
hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h_tv1ip9/lgb.p',i_0_1073) ).
cnf(i_0_1135,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X4),X3))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h_tv1ip9/lgb.p',i_0_1135) ).
cnf(i_0_1471,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h_tv1ip9/lgb.p',i_0_1471) ).
cnf(i_0_34,negated_conjecture,
hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk3_0),v_ts)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h_tv1ip9/lgb.p',i_0_34) ).
cnf(i_0_1470,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h_tv1ip9/lgb.p',i_0_1470) ).
cnf(i_0_31,hypothesis,
( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk1_1(X1)),v_G))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts_H)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h_tv1ip9/lgb.p',i_0_31) ).
cnf(i_0_35,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(t_a,esk2_0,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h_tv1ip9/lgb.p',i_0_35) ).
cnf(i_0_30,hypothesis,
( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk1_1(X1))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts_H)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h_tv1ip9/lgb.p',i_0_30) ).
cnf(i_0_33,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,esk2_0,esk3_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h_tv1ip9/lgb.p',i_0_33) ).
cnf(c_0_1483,plain,
( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3) = X3
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X3),X2)) ),
i_0_1058 ).
cnf(c_0_1484,hypothesis,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_ts_H)),
i_0_32 ).
cnf(c_0_1485,plain,
hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X2),X3) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X3),X2),
i_0_1073 ).
cnf(c_0_1486,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool)),X4),X3))) ),
i_0_1135 ).
cnf(c_0_1487,hypothesis,
hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_ts_H) = v_ts,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1483,c_0_1484]),c_0_1485]) ).
cnf(c_0_1488,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X1)) ),
i_0_1471 ).
cnf(c_0_1489,negated_conjecture,
hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk3_0),v_ts)),
i_0_34 ).
cnf(c_0_1490,hypothesis,
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts_H))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts)) ),
inference(spm,[status(thm)],[c_0_1486,c_0_1487]) ).
cnf(c_0_1491,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
i_0_1470 ).
cnf(c_0_1492,negated_conjecture,
hBOOL(hAPP(v_ts,esk3_0)),
inference(spm,[status(thm)],[c_0_1488,c_0_1489]) ).
cnf(c_0_1493,plain,
( hBOOL(hAPP(v_ts_H,X1))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts)) ),
inference(spm,[status(thm)],[c_0_1488,c_0_1490]) ).
cnf(c_0_1494,negated_conjecture,
hBOOL(hAPP(hAPP(c_member(X1),esk3_0),v_ts)),
inference(spm,[status(thm)],[c_0_1491,c_0_1492]) ).
cnf(c_0_1495,negated_conjecture,
hBOOL(hAPP(v_ts_H,esk3_0)),
inference(spm,[status(thm)],[c_0_1493,c_0_1494]) ).
cnf(c_0_1496,hypothesis,
( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk1_1(X1)),v_G))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts_H)) ),
i_0_31 ).
cnf(c_0_1497,plain,
hBOOL(hAPP(hAPP(c_member(X1),esk3_0),v_ts_H)),
inference(spm,[status(thm)],[c_0_1491,c_0_1495]) ).
cnf(c_0_1498,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(t_a,esk2_0,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ),
i_0_35 ).
cnf(c_0_1499,hypothesis,
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk1_1(X1)),v_G))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_1496,c_0_1497]) ).
cnf(c_0_1500,hypothesis,
( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk1_1(X1))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts_H)) ),
i_0_30 ).
cnf(c_0_1501,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(t_a,esk2_0,esk1_1(X1))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_1498,c_0_1499]) ).
cnf(c_0_1502,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,esk2_0,esk3_0),
i_0_33 ).
cnf(c_0_1503,hypothesis,
( c_Hoare__Mirabelle_Otriple__valid(t_a,esk2_0,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts_H)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1500,c_0_1501]),c_0_1502]) ).
cnf(c_0_1504,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1503,c_0_1497]),c_0_1502]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWW339+1 : TPTP v8.1.0. Released v5.2.0.
% 0.00/0.10 % Command : enigmatic-eprover.py %s %d 1
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Sun Jun 5 03:55:05 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.14/0.39 # ENIGMATIC: Selected SinE mode:
% 0.40/0.61 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.61 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.40/0.61 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.40/0.61 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 9.78/3.42 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.78/3.42 # No SInE strategy applied
% 9.78/3.42 # Trying AutoSched0 for 150 seconds
% 9.78/3.42 # AutoSched0-Mode selected heuristic G_E___208_B00_00_F1_SE_CS_SP_PS_S070I
% 9.78/3.42 # and selection function SelectVGNonCR.
% 9.78/3.42 #
% 9.78/3.42 # Preprocessing time : 0.014 s
% 9.78/3.42 # Presaturation interreduction done
% 9.78/3.42
% 9.78/3.42 # Proof found!
% 9.78/3.42 # SZS status Theorem
% 9.78/3.42 # SZS output start CNFRefutation
% See solution above
% 9.78/3.42 # Training examples: 0 positive, 0 negative
% 9.78/3.42
% 9.78/3.42 # -------------------------------------------------
% 9.78/3.42 # User time : 0.027 s
% 9.78/3.42 # System time : 0.006 s
% 9.78/3.42 # Total time : 0.033 s
% 9.78/3.42 # Maximum resident set size: 9632 pages
% 9.78/3.42
%------------------------------------------------------------------------------