TSTP Solution File: SWW358+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW358+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 00:02:05 EDT 2022
% Result : Theorem 11.44s 3.77s
% Output : CNFRefutation 11.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 17 ( 12 unt; 0 nHn; 13 RR)
% Number of literals : 28 ( 7 equ; 14 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 17 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_313,plain,
( X1 = X2
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X1))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X2),X1))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X3),X1)),hAPP(c_Finite__Set_Ocard(X3),X2))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g55_lwqq/lgb.p',i_0_313) ).
cnf(i_0_8,hypothesis,
hAPP(c_Finite__Set_Ocard(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U)) = hAPP(c_Finite__Set_Ocard(t_a),v_G),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g55_lwqq/lgb.p',i_0_8) ).
cnf(i_0_1306,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g55_lwqq/lgb.p',i_0_1306) ).
cnf(i_0_7,hypothesis,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g55_lwqq/lgb.p',i_0_7) ).
cnf(i_0_10,negated_conjecture,
hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U) != v_G,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g55_lwqq/lgb.p',i_0_10) ).
cnf(i_0_717,plain,
( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Set_Oimage(X2,X1,X3),X4)))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g55_lwqq/lgb.p',i_0_717) ).
cnf(i_0_6,hypothesis,
hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),v_U)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g55_lwqq/lgb.p',i_0_6) ).
cnf(c_0_1314,plain,
( X1 = X2
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X1))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X2),X1))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X3),X1)),hAPP(c_Finite__Set_Ocard(X3),X2))) ),
i_0_313 ).
cnf(c_0_1315,hypothesis,
hAPP(c_Finite__Set_Ocard(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U)) = hAPP(c_Finite__Set_Ocard(t_a),v_G),
i_0_8 ).
cnf(c_0_1316,hypothesis,
( hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U) = X1
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),X1),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U)))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(t_a),v_G)),hAPP(c_Finite__Set_Ocard(t_a),X1)))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))) ),
inference(spm,[status(thm)],[c_0_1314,c_0_1315]) ).
cnf(c_0_1317,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1),X1)),
i_0_1306 ).
cnf(c_0_1318,hypothesis,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))),
i_0_7 ).
cnf(c_0_1319,negated_conjecture,
hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U) != v_G,
i_0_10 ).
cnf(c_0_1320,plain,
~ hBOOL(hAPP(c_Finite__Set_Ofinite(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1316,c_0_1317]),c_0_1318])]),c_0_1319]) ).
cnf(c_0_1321,plain,
( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Set_Oimage(X2,X1,X3),X4)))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)) ),
i_0_717 ).
cnf(c_0_1322,hypothesis,
hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),v_U)),
i_0_6 ).
cnf(c_0_1323,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1320,c_0_1321]),c_0_1322])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW358+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n029.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 : Sat Jun 4 23:14:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 # ENIGMATIC: Selected SinE mode:
% 0.51/0.73 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.51/0.73 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.51/0.73 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.51/0.73 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 11.44/3.77 # ENIGMATIC: Solved by autoschedule-lgb:
% 11.44/3.77 # No SInE strategy applied
% 11.44/3.77 # Trying AutoSched0 for 150 seconds
% 11.44/3.77 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 11.44/3.77 # and selection function SelectComplexExceptUniqMaxHorn.
% 11.44/3.77 #
% 11.44/3.77 # Preprocessing time : 0.026 s
% 11.44/3.77 # Presaturation interreduction done
% 11.44/3.77
% 11.44/3.77 # Proof found!
% 11.44/3.77 # SZS status Theorem
% 11.44/3.77 # SZS output start CNFRefutation
% See solution above
% 11.44/3.77 # Training examples: 0 positive, 0 negative
% 11.44/3.77
% 11.44/3.77 # -------------------------------------------------
% 11.44/3.77 # User time : 0.287 s
% 11.44/3.77 # System time : 0.016 s
% 11.44/3.77 # Total time : 0.303 s
% 11.44/3.77 # Maximum resident set size: 9516 pages
% 11.44/3.77
%------------------------------------------------------------------------------