TSTP Solution File: SWW387+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW387+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n020.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 00:02:09 EDT 2022
% Result : Theorem 10.78s 3.80s
% Output : CNFRefutation 10.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 27 ( 18 unt; 0 nHn; 19 RR)
% Number of literals : 42 ( 10 equ; 19 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-2 aty)
% Number of variables : 32 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_2414,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-1o6gazcu/lgb.p',i_0_2414) ).
cnf(i_0_243,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1o6gazcu/lgb.p',i_0_243) ).
cnf(i_0_1559,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-1o6gazcu/lgb.p',i_0_1559) ).
cnf(i_0_37,hypothesis,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1o6gazcu/lgb.p',i_0_37) ).
cnf(i_0_38,hypothesis,
c_Com_OWT__bodies,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1o6gazcu/lgb.p',i_0_38) ).
cnf(i_0_42,negated_conjecture,
~ 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,hAPP(c_Com_Ocom_OBODY,v_pn))),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-1o6gazcu/lgb.p',i_0_42) ).
cnf(i_0_388,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-1o6gazcu/lgb.p',i_0_388) ).
cnf(i_0_834,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-1o6gazcu/lgb.p',i_0_834) ).
cnf(i_0_2918,plain,
( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X1)))
| hAPP(c_Com_Obody,X1) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1o6gazcu/lgb.p',i_0_2918) ).
cnf(i_0_40,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-1o6gazcu/lgb.p',i_0_40) ).
cnf(c_0_2929,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_2414 ).
cnf(c_0_2930,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
i_0_243 ).
cnf(c_0_2931,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_1559 ).
cnf(c_0_2932,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_2929,c_0_2930]) ).
cnf(c_0_2933,hypothesis,
c_Hoare__Mirabelle_Ostate__not__singleton,
i_0_37 ).
cnf(c_0_2934,hypothesis,
c_Com_OWT__bodies,
i_0_38 ).
cnf(c_0_2935,negated_conjecture,
~ 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,hAPP(c_Com_Ocom_OBODY,v_pn))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
i_0_42 ).
cnf(c_0_2936,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_388 ).
cnf(c_0_2937,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2931,c_0_2932]),c_0_2933]),c_0_2934])]) ).
cnf(c_0_2938,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_834 ).
cnf(c_0_2939,negated_conjecture,
~ 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,hAPP(c_Com_Ocom_OBODY,v_pn)))),
inference(rw,[status(thm)],[c_0_2935,c_0_2932]) ).
cnf(c_0_2940,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_2936,c_0_2937]),c_0_2938])]) ).
cnf(c_0_2941,plain,
( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X1)))
| hAPP(c_Com_Obody,X1) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X2) ),
i_0_2918 ).
cnf(c_0_2942,hypothesis,
hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y) = hAPP(c_Com_Obody,v_pn),
i_0_40 ).
cnf(c_0_2943,negated_conjecture,
~ hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,v_pn))),
inference(spm,[status(thm)],[c_0_2939,c_0_2940]) ).
cnf(c_0_2944,hypothesis,
( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X1)))
| hAPP(c_Com_Obody,X1) != hAPP(c_Com_Obody,v_pn) ),
inference(spm,[status(thm)],[c_0_2941,c_0_2942]) ).
cnf(c_0_2945,hypothesis,
$false,
inference(spm,[status(thm)],[c_0_2943,c_0_2944]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW387+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n020.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 : Sun Jun 5 02:22:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 # ENIGMATIC: Selected SinE mode:
% 0.54/0.73 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.73 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.54/0.73 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.54/0.73 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 10.78/3.80 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.78/3.80 # No SInE strategy applied
% 10.78/3.80 # Trying AutoSched0 for 150 seconds
% 10.78/3.80 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 10.78/3.80 # and selection function SelectMaxLComplexAvoidPosPred.
% 10.78/3.80 #
% 10.78/3.80 # Preprocessing time : 0.025 s
% 10.78/3.80
% 10.78/3.80 # Proof found!
% 10.78/3.80 # SZS status Theorem
% 10.78/3.80 # SZS output start CNFRefutation
% See solution above
% 10.78/3.80 # Training examples: 0 positive, 0 negative
% 10.78/3.80
% 10.78/3.80 # -------------------------------------------------
% 10.78/3.80 # User time : 0.029 s
% 10.78/3.80 # System time : 0.004 s
% 10.78/3.80 # Total time : 0.033 s
% 10.78/3.80 # Maximum resident set size: 9672 pages
% 10.78/3.80
%------------------------------------------------------------------------------