TSTP Solution File: SWW301+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW301+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 00:01:56 EDT 2022
% Result : Theorem 10.91s 3.78s
% Output : CNFRefutation 10.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 26 ( 12 unt; 9 nHn; 15 RR)
% Number of literals : 52 ( 5 equ; 20 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-7 aty)
% Number of variables : 84 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_2476,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-e4a2lyii/lgb.p',i_0_2476) ).
cnf(i_0_355,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e4a2lyii/lgb.p',i_0_355) ).
cnf(i_0_441,plain,
( hBOOL(hAPP(hAPP(X1,esk57_7(X2,X1,X3,X4,X5,X6,X7)),esk58_7(X2,X1,X3,X4,X5,X6,X7)))
| c_Hoare__Mirabelle_Ohoare__derivs(X7,X6,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X7)),c_Hoare__Mirabelle_Otriple_Otriple(X7,X1,X4,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X7),tc_HOL_Obool))))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X7,X6,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X7)),c_Hoare__Mirabelle_Otriple_Otriple(X7,X5,X4,X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X7),tc_HOL_Obool)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e4a2lyii/lgb.p',i_0_441) ).
cnf(i_0_32,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e4a2lyii/lgb.p',i_0_32) ).
cnf(i_0_440,plain,
( hBOOL(hAPP(hAPP(X1,X2),esk59_7(X3,X4,X1,X5,X6,X7,X8)))
| c_Hoare__Mirabelle_Ohoare__derivs(X8,X7,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X8)),c_Hoare__Mirabelle_Otriple_Otriple(X8,X4,X5,X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X8),tc_HOL_Obool))))
| ~ hBOOL(hAPP(hAPP(X6,X2),esk58_7(X3,X4,X1,X5,X6,X7,X8)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X8,X7,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X8)),c_Hoare__Mirabelle_Otriple_Otriple(X8,X6,X5,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X8),tc_HOL_Obool)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e4a2lyii/lgb.p',i_0_440) ).
cnf(i_0_439,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X3,X4,X5)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool))))
| ~ hBOOL(hAPP(hAPP(X5,esk57_7(X5,X3,X6,X4,X7,X2,X1)),esk59_7(X5,X3,X6,X4,X7,X2,X1)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X7,X4,X6)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e4a2lyii/lgb.p',i_0_439) ).
cnf(i_0_33,hypothesis,
( hBOOL(hAPP(hAPP(v_Q,X1),X2))
| ~ hBOOL(hAPP(hAPP(v_Q_H,X1),X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e4a2lyii/lgb.p',i_0_33) ).
cnf(i_0_34,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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/sandbox/tmp/enigma-theBenchmark.p-e4a2lyii/lgb.p',i_0_34) ).
cnf(c_0_2485,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_2476 ).
cnf(c_0_2486,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
i_0_355 ).
cnf(c_0_2487,plain,
( hBOOL(hAPP(hAPP(X1,esk57_7(X2,X1,X3,X4,X5,X6,X7)),esk58_7(X2,X1,X3,X4,X5,X6,X7)))
| c_Hoare__Mirabelle_Ohoare__derivs(X7,X6,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X7)),c_Hoare__Mirabelle_Otriple_Otriple(X7,X1,X4,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X7),tc_HOL_Obool))))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X7,X6,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X7)),c_Hoare__Mirabelle_Otriple_Otriple(X7,X5,X4,X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X7),tc_HOL_Obool)))) ),
i_0_441 ).
cnf(c_0_2488,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_2485,c_0_2486]) ).
cnf(c_0_2489,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
i_0_32 ).
cnf(c_0_2490,plain,
( hBOOL(hAPP(hAPP(X1,X2),esk59_7(X3,X4,X1,X5,X6,X7,X8)))
| c_Hoare__Mirabelle_Ohoare__derivs(X8,X7,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X8)),c_Hoare__Mirabelle_Otriple_Otriple(X8,X4,X5,X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X8),tc_HOL_Obool))))
| ~ hBOOL(hAPP(hAPP(X6,X2),esk58_7(X3,X4,X1,X5,X6,X7,X8)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X8,X7,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X8)),c_Hoare__Mirabelle_Otriple_Otriple(X8,X6,X5,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X8),tc_HOL_Obool)))) ),
i_0_440 ).
cnf(c_0_2491,plain,
( hBOOL(hAPP(hAPP(X1,esk57_7(X2,X1,X3,X4,X5,X6,X7)),esk58_7(X2,X1,X3,X4,X5,X6,X7)))
| c_Hoare__Mirabelle_Ohoare__derivs(X7,X6,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(X7,X1,X4,X2)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X7,X6,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(X7,X5,X4,X3))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2487,c_0_2488]),c_0_2488]) ).
cnf(c_0_2492,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q_H))),
inference(rw,[status(thm)],[c_0_2489,c_0_2488]) ).
cnf(c_0_2493,plain,
( hBOOL(hAPP(hAPP(X1,X2),esk59_7(X3,X4,X1,X5,X6,X7,X8)))
| c_Hoare__Mirabelle_Ohoare__derivs(X8,X7,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(X8,X4,X5,X3)))
| ~ hBOOL(hAPP(hAPP(X6,X2),esk58_7(X3,X4,X1,X5,X6,X7,X8)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X8,X7,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(X8,X6,X5,X1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2490,c_0_2488]),c_0_2488]) ).
cnf(c_0_2494,hypothesis,
( hBOOL(hAPP(hAPP(X1,esk57_7(X2,X1,v_Q_H,v_c,v_P,v_G,t_a)),esk58_7(X2,X1,v_Q_H,v_c,v_P,v_G,t_a)))
| c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(t_a,X1,v_c,X2))) ),
inference(spm,[status(thm)],[c_0_2491,c_0_2492]) ).
cnf(c_0_2495,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X3,X4,X5)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool))))
| ~ hBOOL(hAPP(hAPP(X5,esk57_7(X5,X3,X6,X4,X7,X2,X1)),esk59_7(X5,X3,X6,X4,X7,X2,X1)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X7,X4,X6)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)))) ),
i_0_439 ).
cnf(c_0_2496,hypothesis,
( hBOOL(hAPP(hAPP(v_Q,X1),X2))
| ~ hBOOL(hAPP(hAPP(v_Q_H,X1),X2)) ),
i_0_33 ).
cnf(c_0_2497,plain,
( hBOOL(hAPP(hAPP(v_Q_H,esk57_7(X1,v_P,v_Q_H,v_c,v_P,v_G,t_a)),esk59_7(X1,v_P,v_Q_H,v_c,v_P,v_G,t_a)))
| c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2493,c_0_2494]),c_0_2492])]) ).
cnf(c_0_2498,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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_34 ).
cnf(c_0_2499,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(X1,X3,X4,X5)))
| ~ hBOOL(hAPP(hAPP(X5,esk57_7(X5,X3,X6,X4,X7,X2,X1)),esk59_7(X5,X3,X6,X4,X7,X2,X1)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(X1,X7,X4,X6))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2495,c_0_2488]),c_0_2488]) ).
cnf(c_0_2500,hypothesis,
( hBOOL(hAPP(hAPP(v_Q,esk57_7(X1,v_P,v_Q_H,v_c,v_P,v_G,t_a)),esk59_7(X1,v_P,v_Q_H,v_c,v_P,v_G,t_a)))
| c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,X1))) ),
inference(spm,[status(thm)],[c_0_2496,c_0_2497]) ).
cnf(c_0_2501,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q))),
inference(rw,[status(thm)],[c_0_2498,c_0_2488]) ).
cnf(c_0_2502,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2499,c_0_2500]),c_0_2492])]),c_0_2501]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW301+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n017.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 : Sat Jun 4 12:27:16 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 # ENIGMATIC: Selected SinE mode:
% 0.47/0.73 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.73 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.47/0.73 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.47/0.73 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 10.91/3.78 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.91/3.78 # No SInE strategy applied
% 10.91/3.78 # Trying AutoSched0 for 150 seconds
% 10.91/3.78 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 10.91/3.78 # and selection function SelectComplexExceptUniqMaxHorn.
% 10.91/3.78 #
% 10.91/3.78 # Preprocessing time : 0.014 s
% 10.91/3.78 # Presaturation interreduction done
% 10.91/3.78
% 10.91/3.78 # Proof found!
% 10.91/3.78 # SZS status Theorem
% 10.91/3.78 # SZS output start CNFRefutation
% See solution above
% 10.91/3.78 # Training examples: 0 positive, 0 negative
% 10.91/3.78
% 10.91/3.78 # -------------------------------------------------
% 10.91/3.78 # User time : 0.199 s
% 10.91/3.78 # System time : 0.027 s
% 10.91/3.78 # Total time : 0.225 s
% 10.91/3.78 # Maximum resident set size: 9520 pages
% 10.91/3.78
%------------------------------------------------------------------------------