TSTP Solution File: SWW391+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW391+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n018.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 00:02:10 EDT 2022
% Result : Theorem 9.44s 3.52s
% Output : CNFRefutation 9.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 26 ( 13 unt; 2 nHn; 24 RR)
% Number of literals : 42 ( 2 equ; 23 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; 11 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_23,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-jmq4foiq/lgb.p',i_0_23) ).
cnf(i_0_2314,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-jmq4foiq/lgb.p',i_0_2314) ).
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),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-jmq4foiq/lgb.p',i_0_20) ).
cnf(i_0_24,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-jmq4foiq/lgb.p',i_0_24) ).
cnf(i_0_22,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(v_Q_H,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-jmq4foiq/lgb.p',i_0_22) ).
cnf(i_0_21,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_H),v_c),v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jmq4foiq/lgb.p',i_0_21) ).
cnf(i_0_25,negated_conjecture,
( hBOOL(hAPP(hAPP(v_P,esk1_0),esk2_0))
| hBOOL(hAPP(hAPP(v_P_H,esk1_0),esk2_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jmq4foiq/lgb.p',i_0_25) ).
cnf(c_0_2322,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_23 ).
cnf(c_0_2323,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_2314 ).
cnf(c_0_2324,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),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
i_0_20 ).
cnf(c_0_2325,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_24 ).
cnf(c_0_2326,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_2322,c_0_2323]) ).
cnf(c_0_2327,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),v_P),v_c),v_Q)))),
inference(rw,[status(thm)],[c_0_2324,c_0_2323]) ).
cnf(c_0_2328,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_2325,c_0_2323]) ).
cnf(c_0_2329,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(v_Q_H,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_22 ).
cnf(c_0_2330,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_H),v_c),v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
i_0_21 ).
cnf(c_0_2331,hypothesis,
~ hBOOL(hAPP(hAPP(v_Q,esk1_0),esk3_2(v_P,v_Q))),
inference(spm,[status(thm)],[c_0_2326,c_0_2327]) ).
cnf(c_0_2332,hypothesis,
( hBOOL(hAPP(hAPP(v_Q,X1),esk3_2(v_P,v_Q)))
| ~ hBOOL(hAPP(hAPP(v_P,X1),esk2_0)) ),
inference(spm,[status(thm)],[c_0_2328,c_0_2327]) ).
cnf(c_0_2333,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_H,esk1_0),esk3_2(X1,X2))) ),
inference(rw,[status(thm)],[c_0_2329,c_0_2323]) ).
cnf(c_0_2334,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),v_P_H),v_c),v_Q_H)))),
inference(rw,[status(thm)],[c_0_2330,c_0_2323]) ).
cnf(c_0_2335,negated_conjecture,
( hBOOL(hAPP(hAPP(v_P,esk1_0),esk2_0))
| hBOOL(hAPP(hAPP(v_P_H,esk1_0),esk2_0)) ),
i_0_25 ).
cnf(c_0_2336,hypothesis,
~ hBOOL(hAPP(hAPP(v_P,esk1_0),esk2_0)),
inference(spm,[status(thm)],[c_0_2331,c_0_2332]) ).
cnf(c_0_2337,hypothesis,
~ hBOOL(hAPP(hAPP(v_Q_H,esk1_0),esk3_2(v_P_H,v_Q_H))),
inference(spm,[status(thm)],[c_0_2333,c_0_2334]) ).
cnf(c_0_2338,hypothesis,
( hBOOL(hAPP(hAPP(v_Q_H,X1),esk3_2(v_P_H,v_Q_H)))
| ~ hBOOL(hAPP(hAPP(v_P_H,X1),esk2_0)) ),
inference(spm,[status(thm)],[c_0_2328,c_0_2334]) ).
cnf(c_0_2339,negated_conjecture,
hBOOL(hAPP(hAPP(v_P_H,esk1_0),esk2_0)),
inference(sr,[status(thm)],[c_0_2335,c_0_2336]) ).
cnf(c_0_2340,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2337,c_0_2338]),c_0_2339])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW391+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 5 08:40:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 # ENIGMATIC: Selected SinE mode:
% 0.47/0.69 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.69 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.47/0.69 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.47/0.69 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 9.44/3.52 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.44/3.52 # No SInE strategy applied
% 9.44/3.52 # Trying AutoSched0 for 150 seconds
% 9.44/3.52 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.44/3.52 # and selection function SelectComplexExceptUniqMaxHorn.
% 9.44/3.52 #
% 9.44/3.52 # Preprocessing time : 0.022 s
% 9.44/3.52 # Presaturation interreduction done
% 9.44/3.52
% 9.44/3.52 # Proof found!
% 9.44/3.52 # SZS status Theorem
% 9.44/3.52 # SZS output start CNFRefutation
% See solution above
% 9.44/3.52 # Training examples: 0 positive, 0 negative
% 9.44/3.52
% 9.44/3.52 # -------------------------------------------------
% 9.44/3.52 # User time : 0.021 s
% 9.44/3.52 # System time : 0.010 s
% 9.44/3.52 # Total time : 0.031 s
% 9.44/3.52 # Maximum resident set size: 9532 pages
% 9.44/3.52
%------------------------------------------------------------------------------