TSTP Solution File: SWW382+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW382+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n017.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 00:02:08 EDT 2022
% Result : Theorem 9.53s 3.63s
% Output : CNFRefutation 9.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of clauses : 33 ( 22 unt; 0 nHn; 22 RR)
% Number of literals : 52 ( 13 equ; 23 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 11 con; 0-3 aty)
% Number of variables : 48 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1678,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
| ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ~ c_Com_OWT__bodies
| ~ hBOOL(hAPP(c_Com_OWT,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ikr7fvb/lgb.p',i_0_1678) ).
cnf(i_0_39,hypothesis,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ikr7fvb/lgb.p',i_0_39) ).
cnf(i_0_40,hypothesis,
c_Com_OWT__bodies,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ikr7fvb/lgb.p',i_0_40) ).
cnf(i_0_2622,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/sandbox/tmp/enigma-theBenchmark.p-1ikr7fvb/lgb.p',i_0_2622) ).
cnf(i_0_301,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ikr7fvb/lgb.p',i_0_301) ).
cnf(i_0_3156,plain,
( hBOOL(hAPP(c_Com_OWT,X1))
| hAPP(c_Com_Obody,X2) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1)
| ~ c_Com_OWT__bodies ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ikr7fvb/lgb.p',i_0_3156) ).
cnf(i_0_44,hypothesis,
hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y) = hAPP(c_Com_Obody,v_pn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ikr7fvb/lgb.p',i_0_44) ).
cnf(i_0_46,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),c_Com_Ocom_OBODY)),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,v_y)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ikr7fvb/lgb.p',i_0_46) ).
cnf(i_0_422,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X4)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ikr7fvb/lgb.p',i_0_422) ).
cnf(i_0_939,plain,
c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ikr7fvb/lgb.p',i_0_939) ).
cnf(i_0_971,plain,
hAPP(c_Set_Oimage(X1,X2,X3),hAPP(c_Set_Oimage(X4,X1,X5),X6)) = hAPP(c_Set_Oimage(X4,X2,hAPP(hAPP(c_COMBB(X1,X2,X4),X3),X5)),X6),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1ikr7fvb/lgb.p',i_0_971) ).
cnf(c_0_3168,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
| ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ~ c_Com_OWT__bodies
| ~ hBOOL(hAPP(c_Com_OWT,X1)) ),
i_0_1678 ).
cnf(c_0_3169,hypothesis,
c_Hoare__Mirabelle_Ostate__not__singleton,
i_0_39 ).
cnf(c_0_3170,hypothesis,
c_Com_OWT__bodies,
i_0_40 ).
cnf(c_0_3171,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_2622 ).
cnf(c_0_3172,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
i_0_301 ).
cnf(c_0_3173,plain,
( hBOOL(hAPP(c_Com_OWT,X1))
| hAPP(c_Com_Obody,X2) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1)
| ~ c_Com_OWT__bodies ),
i_0_3156 ).
cnf(c_0_3174,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
| ~ hBOOL(hAPP(c_Com_OWT,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3168,c_0_3169]),c_0_3170])]) ).
cnf(c_0_3175,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_3171,c_0_3172]) ).
cnf(c_0_3176,plain,
( hBOOL(hAPP(c_Com_OWT,X1))
| hAPP(c_Com_Obody,X2) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3173,c_0_3170])]) ).
cnf(c_0_3177,hypothesis,
hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y) = hAPP(c_Com_Obody,v_pn),
i_0_44 ).
cnf(c_0_3178,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),c_Com_Ocom_OBODY)),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,v_y)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
i_0_46 ).
cnf(c_0_3179,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X4)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3) ),
i_0_422 ).
cnf(c_0_3180,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(c_fequal,hAPP(c_Hoare__Mirabelle_OMGT,X1)))
| ~ hBOOL(hAPP(c_Com_OWT,X1)) ),
inference(rw,[status(thm)],[c_0_3174,c_0_3175]) ).
cnf(c_0_3181,plain,
c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool))),
i_0_939 ).
cnf(c_0_3182,hypothesis,
( hBOOL(hAPP(c_Com_OWT,v_y))
| hAPP(c_Com_Obody,X1) != hAPP(c_Com_Obody,v_pn) ),
inference(spm,[status(thm)],[c_0_3176,c_0_3177]) ).
cnf(c_0_3183,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),c_Com_Ocom_OBODY)),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)),hAPP(c_fequal,hAPP(c_Hoare__Mirabelle_OMGT,v_y))),
inference(rw,[status(thm)],[c_0_3178,c_0_3175]) ).
cnf(c_0_3184,plain,
hAPP(c_Set_Oimage(X1,X2,X3),hAPP(c_Set_Oimage(X4,X1,X5),X6)) = hAPP(c_Set_Oimage(X4,X2,hAPP(hAPP(c_COMBB(X1,X2,X4),X3),X5)),X6),
i_0_971 ).
cnf(c_0_3185,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,X1,hAPP(c_fequal,hAPP(c_Hoare__Mirabelle_OMGT,X2)))
| ~ hBOOL(hAPP(c_Com_OWT,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3179,c_0_3180]),c_0_3181])]) ).
cnf(c_0_3186,hypothesis,
hBOOL(hAPP(c_Com_OWT,v_y)),
inference(er,[status(thm)],[c_0_3182]) ).
cnf(c_0_3187,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Com_Ocom,c_Com_Ocom_OBODY),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))),hAPP(c_fequal,hAPP(c_Hoare__Mirabelle_OMGT,v_y))),
inference(rw,[status(thm)],[c_0_3183,c_0_3184]) ).
cnf(c_0_3188,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,X1,hAPP(c_fequal,hAPP(c_Hoare__Mirabelle_OMGT,v_y))),
inference(spm,[status(thm)],[c_0_3185,c_0_3186]) ).
cnf(c_0_3189,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3187,c_0_3188])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW382+1 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 4 23:17:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 # ENIGMATIC: Selected SinE mode:
% 0.55/0.72 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.72 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.55/0.72 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.55/0.72 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 9.53/3.63 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.53/3.63 # No SInE strategy applied
% 9.53/3.63 # Trying AutoSched0 for 150 seconds
% 9.53/3.63 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.53/3.63 # and selection function SelectComplexExceptUniqMaxHorn.
% 9.53/3.63 #
% 9.53/3.63 # Preprocessing time : 0.024 s
% 9.53/3.63 # Presaturation interreduction done
% 9.53/3.63
% 9.53/3.63 # Proof found!
% 9.53/3.63 # SZS status Theorem
% 9.53/3.63 # SZS output start CNFRefutation
% See solution above
% 9.53/3.64 # Training examples: 0 positive, 0 negative
% 9.53/3.64
% 9.53/3.64 # -------------------------------------------------
% 9.53/3.64 # User time : 0.029 s
% 9.53/3.64 # System time : 0.005 s
% 9.53/3.64 # Total time : 0.034 s
% 9.53/3.64 # Maximum resident set size: 9676 pages
% 9.53/3.64
%------------------------------------------------------------------------------