%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW369+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n025.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 00:02:06 EDT 2022
% Result : Theorem 10.86s 4.04s
% Output : CNFRefutation 10.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 19 ( 15 unt; 2 nHn; 15 RR)
% Number of literals : 25 ( 12 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-3 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_2500,plain,
( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),X2) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mayh019o/lgb.p',i_0_2500) ).
cnf(i_0_7,hypothesis,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,v_n)),hAPP(c_Finite__Set_Ocard(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mayh019o/lgb.p',i_0_7) ).
cnf(i_0_499,plain,
hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),hAPP(c_Nat_OSuc,X2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mayh019o/lgb.p',i_0_499) ).
cnf(i_0_8,hypothesis,
hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))),hAPP(c_Nat_OSuc,v_n)) = hAPP(c_Finite__Set_Ocard(t_a),v_G),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mayh019o/lgb.p',i_0_8) ).
cnf(i_0_12,negated_conjecture,
hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))),v_n) != hAPP(c_Finite__Set_Ocard(t_a),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),v_G)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mayh019o/lgb.p',i_0_12) ).
cnf(i_0_315,plain,
( hAPP(c_Finite__Set_Ocard(X1),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(X1),X3))
| hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mayh019o/lgb.p',i_0_315) ).
cnf(i_0_11,hypothesis,
hBOOL(hAPP(c_Finite__Set_Ofinite(t_a),v_G)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mayh019o/lgb.p',i_0_11) ).
cnf(i_0_10,hypothesis,
~ hBOOL(hAPP(hAPP(c_member(t_a),hAPP(v_mgt__call,v_pn)),v_G)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mayh019o/lgb.p',i_0_10) ).
cnf(c_0_2509,plain,
( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),X2) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X1)) ),
i_0_2500 ).
cnf(c_0_2510,hypothesis,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,v_n)),hAPP(c_Finite__Set_Ocard(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U)))),
i_0_7 ).
cnf(c_0_2511,plain,
hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X1)),hAPP(c_Nat_OSuc,X2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X1),X2),
i_0_499 ).
cnf(c_0_2512,hypothesis,
hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))),hAPP(c_Nat_OSuc,v_n)) = hAPP(c_Finite__Set_Ocard(t_a),v_G),
i_0_8 ).
cnf(c_0_2513,negated_conjecture,
hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))),v_n) != hAPP(c_Finite__Set_Ocard(t_a),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),v_G)),
i_0_12 ).
cnf(c_0_2514,hypothesis,
hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))),v_n) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(t_a),v_G)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2509,c_0_2510]),c_0_2511]),c_0_2512]) ).
cnf(c_0_2515,negated_conjecture,
hAPP(c_Finite__Set_Ocard(t_a),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),v_G)) != hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(t_a),v_G)),
inference(rw,[status(thm)],[c_0_2513,c_0_2514]) ).
cnf(c_0_2516,plain,
( hAPP(c_Finite__Set_Ocard(X1),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(X1),X3))
| hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)) ),
i_0_315 ).
cnf(c_0_2517,hypothesis,
hBOOL(hAPP(c_Finite__Set_Ofinite(t_a),v_G)),
i_0_11 ).
cnf(c_0_2518,hypothesis,
~ hBOOL(hAPP(hAPP(c_member(t_a),hAPP(v_mgt__call,v_pn)),v_G)),
i_0_10 ).
cnf(c_0_2519,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2515,c_0_2516]),c_0_2517])]),c_0_2518]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW369+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n025.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 : Sun Jun 5 12:53:04 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.21/0.49 # ENIGMATIC: Selected SinE mode:
% 0.51/0.73 # Parsing /export/starexec/sandbox/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
% 10.86/4.04 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.86/4.04 # No SInE strategy applied
% 10.86/4.04 # Trying AutoSched0 for 150 seconds
% 10.86/4.04 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 10.86/4.04 # and selection function SelectMaxLComplexAvoidPosPred.
% 10.86/4.04 #
% 10.86/4.04 # Preprocessing time : 0.028 s
% 10.86/4.04
% 10.86/4.04 # Proof found!
% 10.86/4.04 # SZS status Theorem
% 10.86/4.04 # SZS output start CNFRefutation
% See solution above
% 10.86/4.04 # Training examples: 0 positive, 0 negative
% 10.86/4.04
% 10.86/4.04 # -------------------------------------------------
% 10.86/4.04 # User time : 0.038 s
% 10.86/4.04 # System time : 0.005 s
% 10.86/4.04 # Total time : 0.044 s
% 10.86/4.04 # Maximum resident set size: 9524 pages
% 10.86/4.04
%------------------------------------------------------------------------------