TSTP Solution File: SWW318+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW318+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 00:01:59 EDT 2022
% Result : Theorem 11.12s 3.74s
% Output : CNFRefutation 11.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 21 ( 16 unt; 0 nHn; 13 RR)
% Number of literals : 28 ( 5 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-2 aty)
% Number of variables : 34 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_2306,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-lw0_weel/lgb.p',i_0_2306) ).
cnf(i_0_266,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lw0_weel/lgb.p',i_0_266) ).
cnf(i_0_20,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),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-lw0_weel/lgb.p',i_0_20) ).
cnf(i_0_21,negated_conjecture,
~ 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-lw0_weel/lgb.p',i_0_21) ).
cnf(i_0_425,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/sandbox2/tmp/enigma-theBenchmark.p-lw0_weel/lgb.p',i_0_425) ).
cnf(i_0_104,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)),X3),X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lw0_weel/lgb.p',i_0_104) ).
cnf(i_0_2387,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X2))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lw0_weel/lgb.p',i_0_2387) ).
cnf(c_0_2395,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_2306 ).
cnf(c_0_2396,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
i_0_266 ).
cnf(c_0_2397,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),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_20 ).
cnf(c_0_2398,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_2395,c_0_2396]) ).
cnf(c_0_2399,negated_conjecture,
~ 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_21 ).
cnf(c_0_2400,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_425 ).
cnf(c_0_2401,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,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_2397,c_0_2398]) ).
cnf(c_0_2402,negated_conjecture,
~ 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_2399,c_0_2398]) ).
cnf(c_0_2403,hypothesis,
( c_Hoare__Mirabelle_Ohoare__derivs(t_a,X1,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)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,X1,v_G) ),
inference(spm,[status(thm)],[c_0_2400,c_0_2401]) ).
cnf(c_0_2404,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)),X3),X2)) ),
i_0_104 ).
cnf(c_0_2405,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X2))),
i_0_2387 ).
cnf(c_0_2406,negated_conjecture,
~ 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),v_G),
inference(spm,[status(thm)],[c_0_2402,c_0_2403]) ).
cnf(c_0_2407,plain,
c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),X2),X3),X3),
inference(spm,[status(thm)],[c_0_2404,c_0_2405]) ).
cnf(c_0_2408,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2406,c_0_2407])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW318+1 : TPTP v8.1.0. Released v5.2.0.
% 0.13/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n028.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 18:50:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 # ENIGMATIC: Selected SinE mode:
% 0.54/0.73 # Parsing /export/starexec/sandbox2/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
% 11.12/3.74 # ENIGMATIC: Solved by autoschedule-lgb:
% 11.12/3.74 # No SInE strategy applied
% 11.12/3.74 # Trying AutoSched0 for 150 seconds
% 11.12/3.74 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 11.12/3.74 # and selection function SelectComplexExceptUniqMaxHorn.
% 11.12/3.74 #
% 11.12/3.74 # Preprocessing time : 0.023 s
% 11.12/3.74 # Presaturation interreduction done
% 11.12/3.74
% 11.12/3.74 # Proof found!
% 11.12/3.74 # SZS status Theorem
% 11.12/3.74 # SZS output start CNFRefutation
% See solution above
% 11.12/3.74 # Training examples: 0 positive, 0 negative
% 11.12/3.74
% 11.12/3.74 # -------------------------------------------------
% 11.12/3.74 # User time : 0.027 s
% 11.12/3.74 # System time : 0.003 s
% 11.12/3.74 # Total time : 0.031 s
% 11.12/3.74 # Maximum resident set size: 9512 pages
% 11.12/3.74
%------------------------------------------------------------------------------