TSTP Solution File: SWW305+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW305+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n028.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 00:01:57 EDT 2022
% Result : Theorem 8.77s 3.42s
% Output : CNFRefutation 8.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 27 ( 27 unt; 0 nHn; 7 RR)
% Number of literals : 27 ( 20 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 12 con; 0-3 aty)
% Number of variables : 72 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_2484,plain,
hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = hAPP(c_Set_OCollect(X1),hAPP(c_fequal,X2)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyehi41f/lgb.p',i_0_2484) ).
cnf(i_0_379,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyehi41f/lgb.p',i_0_379) ).
cnf(i_0_1239,plain,
hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X3) = hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyehi41f/lgb.p',i_0_1239) ).
cnf(i_0_32,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),c_Com_Ocom_OBODY)),v_Q)),hAPP(hAPP(c_Set_Oinsert(tc_Com_Opname),v_pn),c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_HOL_Obool))))),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),v_Q)),hAPP(hAPP(c_Set_Oinsert(tc_Com_Opname),v_pn),c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_HOL_Obool))))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyehi41f/lgb.p',i_0_32) ).
cnf(i_0_1025,plain,
hAPP(c_Set_Oimage(X1,X2,X3),hAPP(hAPP(c_Set_Oinsert(X1),X4),X5)) = hAPP(hAPP(c_Set_Oinsert(X2),hAPP(X3,X4)),hAPP(c_Set_Oimage(X1,X2,X3),X5)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyehi41f/lgb.p',i_0_1025) ).
cnf(i_0_1012,plain,
hAPP(c_Set_Oimage(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyehi41f/lgb.p',i_0_1012) ).
cnf(i_0_2807,plain,
hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X3),X2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyehi41f/lgb.p',i_0_2807) ).
cnf(i_0_31,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),v_G),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyehi41f/lgb.p',i_0_31) ).
cnf(i_0_3109,plain,
hAPP(hAPP(hAPP(c_COMBC(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),X5),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyehi41f/lgb.p',i_0_3109) ).
cnf(i_0_3108,plain,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyehi41f/lgb.p',i_0_3108) ).
cnf(c_0_3120,plain,
hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = hAPP(c_Set_OCollect(X1),hAPP(c_fequal,X2)),
i_0_2484 ).
cnf(c_0_3121,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
i_0_379 ).
cnf(c_0_3122,plain,
hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X3) = hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),
i_0_1239 ).
cnf(c_0_3123,plain,
hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = hAPP(c_fequal,X2),
inference(rw,[status(thm)],[c_0_3120,c_0_3121]) ).
cnf(c_0_3124,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),c_Com_Ocom_OBODY)),v_Q)),hAPP(hAPP(c_Set_Oinsert(tc_Com_Opname),v_pn),c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_HOL_Obool))))),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),v_Q)),hAPP(hAPP(c_Set_Oinsert(tc_Com_Opname),v_pn),c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_HOL_Obool))))),
i_0_32 ).
cnf(c_0_3125,plain,
hAPP(c_Set_Oimage(X1,X2,X3),hAPP(hAPP(c_Set_Oinsert(X1),X4),X5)) = hAPP(hAPP(c_Set_Oinsert(X2),hAPP(X3,X4)),hAPP(c_Set_Oimage(X1,X2,X3),X5)),
i_0_1025 ).
cnf(c_0_3126,plain,
hAPP(c_Set_Oimage(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)),
i_0_1012 ).
cnf(c_0_3127,plain,
hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),hAPP(c_fequal,X2)),X3) = hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),
inference(rw,[status(thm)],[c_0_3122,c_0_3123]) ).
cnf(c_0_3128,plain,
hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),X3) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X3),X2),
i_0_2807 ).
cnf(c_0_3129,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),v_G),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
i_0_31 ).
cnf(c_0_3130,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),c_Com_Ocom_OBODY)),v_Q)),hAPP(c_fequal,v_pn))),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),v_Q)),hAPP(c_fequal,v_pn))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3124,c_0_3123]),c_0_3123]) ).
cnf(c_0_3131,plain,
hAPP(c_Set_Oimage(X1,X2,X3),hAPP(c_fequal,X4)) = hAPP(c_fequal,hAPP(X3,X4)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3125,c_0_3126]),c_0_3123]),c_0_3123]) ).
cnf(c_0_3132,plain,
hAPP(hAPP(hAPP(c_COMBC(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),X5),
i_0_3109 ).
cnf(c_0_3133,plain,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
i_0_3108 ).
cnf(c_0_3134,plain,
hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(c_fequal,X3)) = hAPP(hAPP(c_Set_Oinsert(X1),X3),X2),
inference(spm,[status(thm)],[c_0_3127,c_0_3128]) ).
cnf(c_0_3135,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),v_G),hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q))),
inference(rw,[status(thm)],[c_0_3129,c_0_3123]) ).
cnf(c_0_3136,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3130,c_0_3131]),c_0_3132]),c_0_3133]),c_0_3134]),c_0_3131]),c_0_3132]),c_0_3133]),c_0_3133]),c_0_3135])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SWW305+1 : TPTP v8.1.0. Released v5.2.0.
% 0.02/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.32 % Computer : n028.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 600
% 0.13/0.32 % DateTime : Sun Jun 5 07:55:29 EDT 2022
% 0.13/0.32 % CPUTime :
% 0.18/0.46 # ENIGMATIC: Selected SinE mode:
% 0.48/0.70 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.70 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.48/0.70 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.48/0.70 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.77/3.42 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.77/3.42 # No SInE strategy applied
% 8.77/3.42 # Trying AutoSched0 for 150 seconds
% 8.77/3.42 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.77/3.42 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.77/3.42 #
% 8.77/3.42 # Preprocessing time : 0.014 s
% 8.77/3.42 # Presaturation interreduction done
% 8.77/3.42
% 8.77/3.42 # Proof found!
% 8.77/3.42 # SZS status Theorem
% 8.77/3.42 # SZS output start CNFRefutation
% See solution above
% 8.77/3.42 # Training examples: 0 positive, 0 negative
% 8.77/3.42
% 8.77/3.42 # -------------------------------------------------
% 8.77/3.42 # User time : 0.019 s
% 8.77/3.42 # System time : 0.006 s
% 8.77/3.42 # Total time : 0.025 s
% 8.77/3.42 # Maximum resident set size: 9496 pages
% 8.77/3.42
%------------------------------------------------------------------------------