TSTP Solution File: SWW395+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW395+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n021.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 00:02:11 EDT 2022
% Result : Theorem 11.10s 4.05s
% Output : CNFRefutation 11.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 27 ( 16 unt; 0 nHn; 17 RR)
% Number of literals : 43 ( 8 equ; 22 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 11 con; 0-3 aty)
% Number of variables : 60 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_43,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(v_Q,esk1_0),esk3_2(X1,X2)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X1),v_c),X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s68w1sk7/lgb.p',i_0_43) ).
cnf(i_0_2584,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-s68w1sk7/lgb.p',i_0_2584) ).
cnf(i_0_42,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj),hAPP(c_fequal,X1)))),v_P)),v_c),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-s68w1sk7/lgb.p',i_0_42) ).
cnf(i_0_44,negated_conjecture,
( hBOOL(hAPP(hAPP(X1,X2),esk3_2(X3,X1)))
| ~ hBOOL(hAPP(hAPP(X3,X2),esk2_0))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X3),v_c),X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s68w1sk7/lgb.p',i_0_44) ).
cnf(i_0_3304,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-s68w1sk7/lgb.p',i_0_3304) ).
cnf(i_0_3307,plain,
hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),hAPP(X5,X6)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s68w1sk7/lgb.p',i_0_3307) ).
cnf(i_0_3308,plain,
( hBOOL(hAPP(hAPP(c_fconj,X1),X2))
| ~ hBOOL(X2)
| ~ hBOOL(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s68w1sk7/lgb.p',i_0_3308) ).
cnf(i_0_45,negated_conjecture,
hBOOL(hAPP(hAPP(v_P,esk1_0),esk2_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s68w1sk7/lgb.p',i_0_45) ).
cnf(i_0_3315,plain,
( hBOOL(hAPP(hAPP(c_fequal,X1),X2))
| X1 != X2 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s68w1sk7/lgb.p',i_0_3315) ).
cnf(c_0_3325,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(v_Q,esk1_0),esk3_2(X1,X2)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X1),v_c),X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
i_0_43 ).
cnf(c_0_3326,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_2584 ).
cnf(c_0_3327,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj),hAPP(c_fequal,X1)))),v_P)),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
i_0_42 ).
cnf(c_0_3328,negated_conjecture,
( hBOOL(hAPP(hAPP(X1,X2),esk3_2(X3,X1)))
| ~ hBOOL(hAPP(hAPP(X3,X2),esk2_0))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X3),v_c),X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
i_0_44 ).
cnf(c_0_3329,negated_conjecture,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_Set_OCollect(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X1),v_c),X2))))
| ~ hBOOL(hAPP(hAPP(v_Q,esk1_0),esk3_2(X1,X2))) ),
inference(rw,[status(thm)],[c_0_3325,c_0_3326]) ).
cnf(c_0_3330,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_Set_OCollect(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj),hAPP(c_fequal,X1)))),v_P)),v_c),v_Q)))),
inference(rw,[status(thm)],[c_0_3327,c_0_3326]) ).
cnf(c_0_3331,negated_conjecture,
( hBOOL(hAPP(hAPP(X1,X2),esk3_2(X3,X1)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_Set_OCollect(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X3),v_c),X1))))
| ~ hBOOL(hAPP(hAPP(X3,X2),esk2_0)) ),
inference(rw,[status(thm)],[c_0_3328,c_0_3326]) ).
cnf(c_0_3332,plain,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
i_0_3304 ).
cnf(c_0_3333,plain,
hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),hAPP(X5,X6)),
i_0_3307 ).
cnf(c_0_3334,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_Q,esk1_0),esk3_2(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj),hAPP(c_fequal,X1)))),v_P),v_Q))),
inference(spm,[status(thm)],[c_0_3329,c_0_3330]) ).
cnf(c_0_3335,negated_conjecture,
( hBOOL(hAPP(hAPP(v_Q,X1),esk3_2(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj),hAPP(c_fequal,X2)))),v_P),v_Q)))
| ~ hBOOL(hAPP(hAPP(c_fconj,hAPP(hAPP(c_fequal,X2),esk2_0)),hAPP(hAPP(v_P,X1),esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3331,c_0_3330]),c_0_3332]),c_0_3333]),c_0_3332]) ).
cnf(c_0_3336,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_fconj,hAPP(hAPP(c_fequal,X1),esk2_0)),hAPP(hAPP(v_P,esk1_0),esk2_0))),
inference(spm,[status(thm)],[c_0_3334,c_0_3335]) ).
cnf(c_0_3337,plain,
( hBOOL(hAPP(hAPP(c_fconj,X1),X2))
| ~ hBOOL(X2)
| ~ hBOOL(X1) ),
i_0_3308 ).
cnf(c_0_3338,negated_conjecture,
hBOOL(hAPP(hAPP(v_P,esk1_0),esk2_0)),
i_0_45 ).
cnf(c_0_3339,plain,
( hBOOL(hAPP(hAPP(c_fequal,X1),X2))
| X1 != X2 ),
i_0_3315 ).
cnf(c_0_3340,plain,
~ hBOOL(hAPP(hAPP(c_fequal,X1),esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3336,c_0_3337]),c_0_3338])]) ).
cnf(c_0_3341,plain,
hBOOL(hAPP(hAPP(c_fequal,X1),X1)),
inference(er,[status(thm)],[c_0_3339]) ).
cnf(c_0_3342,plain,
$false,
inference(spm,[status(thm)],[c_0_3340,c_0_3341]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW395+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n021.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 : Sat Jun 4 23:11:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.50 # ENIGMATIC: Selected SinE mode:
% 0.34/0.75 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/0.75 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.34/0.75 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.34/0.75 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 11.10/4.05 # ENIGMATIC: Solved by autoschedule-lgb:
% 11.10/4.05 # No SInE strategy applied
% 11.10/4.05 # Trying AutoSched0 for 150 seconds
% 11.10/4.05 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 11.10/4.05 # and selection function SelectComplexExceptUniqMaxHorn.
% 11.10/4.05 #
% 11.10/4.05 # Preprocessing time : 0.022 s
% 11.10/4.05 # Presaturation interreduction done
% 11.10/4.05
% 11.10/4.05 # Proof found!
% 11.10/4.05 # SZS status Theorem
% 11.10/4.05 # SZS output start CNFRefutation
% See solution above
% 11.10/4.05 # Training examples: 0 positive, 0 negative
% 11.10/4.05
% 11.10/4.05 # -------------------------------------------------
% 11.10/4.05 # User time : 0.024 s
% 11.10/4.05 # System time : 0.007 s
% 11.10/4.05 # Total time : 0.031 s
% 11.10/4.05 # Maximum resident set size: 9620 pages
% 11.10/4.05
%------------------------------------------------------------------------------