TSTP Solution File: SWW306+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW306+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 00:01:57 EDT 2022
% Result : Theorem 11.73s 3.84s
% Output : CNFRefutation 11.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 27 ( 14 unt; 0 nHn; 16 RR)
% Number of literals : 44 ( 12 equ; 21 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-4 aty)
% Number of variables : 53 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_2558,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-bdtfful0/lgb.p',i_0_2558) ).
cnf(i_0_375,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bdtfful0/lgb.p',i_0_375) ).
cnf(i_0_2559,plain,
hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBC(X1,X1,tc_HOL_Obool),c_fequal),X2)) = hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bdtfful0/lgb.p',i_0_2559) ).
cnf(i_0_37,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)),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/sandbox/tmp/enigma-theBenchmark.p-bdtfful0/lgb.p',i_0_37) ).
cnf(i_0_35,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,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X1)),v_c,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(X2)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
| ~ v_P(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bdtfful0/lgb.p',i_0_35) ).
cnf(i_0_36,negated_conjecture,
( ~ hBOOL(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)),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/sandbox/tmp/enigma-theBenchmark.p-bdtfful0/lgb.p',i_0_36) ).
cnf(i_0_3276,plain,
hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bdtfful0/lgb.p',i_0_3276) ).
cnf(i_0_3282,plain,
( hBOOL(hAPP(hAPP(c_fequal,X1),X2))
| X1 != X2 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bdtfful0/lgb.p',i_0_3282) ).
cnf(i_0_38,negated_conjecture,
v_P(esk1_0,esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bdtfful0/lgb.p',i_0_38) ).
cnf(c_0_3292,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_2558 ).
cnf(c_0_3293,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
i_0_375 ).
cnf(c_0_3294,plain,
hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBC(X1,X1,tc_HOL_Obool),c_fequal),X2)) = hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),
i_0_2559 ).
cnf(c_0_3295,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_3292,c_0_3293]) ).
cnf(c_0_3296,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)),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_37 ).
cnf(c_0_3297,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,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X1)),v_c,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(X2)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
| ~ v_P(X2,X1) ),
i_0_35 ).
cnf(c_0_3298,plain,
hAPP(hAPP(c_COMBC(X1,X1,tc_HOL_Obool),c_fequal),X2) = hAPP(c_fequal,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3294,c_0_3293]),c_0_3295]) ).
cnf(c_0_3299,negated_conjecture,
( ~ hBOOL(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)),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_36 ).
cnf(c_0_3300,negated_conjecture,
( hBOOL(hAPP(hAPP(X1,X2),esk3_2(X3,X1)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(t_a,X3,v_c,X1)))
| ~ hBOOL(hAPP(hAPP(X3,X2),esk2_0)) ),
inference(rw,[status(thm)],[c_0_3296,c_0_3295]) ).
cnf(c_0_3301,hypothesis,
( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(t_a,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_fequal,X1)),v_c,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(X2)))))
| ~ v_P(X2,X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3297,c_0_3298]),c_0_3295]) ).
cnf(c_0_3302,plain,
hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
i_0_3276 ).
cnf(c_0_3303,negated_conjecture,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(t_a,X1,v_c,X2)))
| ~ hBOOL(hAPP(v_Q(esk1_0),esk3_2(X1,X2))) ),
inference(rw,[status(thm)],[c_0_3299,c_0_3295]) ).
cnf(c_0_3304,negated_conjecture,
( hBOOL(hAPP(v_Q(X1),esk3_2(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_fequal,X2)),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(X1)))))
| ~ v_P(X1,X2)
| ~ hBOOL(hAPP(hAPP(c_fequal,X2),esk2_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3300,c_0_3301]),c_0_3302]),c_0_3302]) ).
cnf(c_0_3305,plain,
( hBOOL(hAPP(hAPP(c_fequal,X1),X2))
| X1 != X2 ),
i_0_3282 ).
cnf(c_0_3306,negated_conjecture,
( ~ v_P(esk1_0,X1)
| ~ hBOOL(hAPP(hAPP(c_fequal,X1),esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3303,c_0_3304]),c_0_3301]) ).
cnf(c_0_3307,negated_conjecture,
v_P(esk1_0,esk2_0),
i_0_38 ).
cnf(c_0_3308,plain,
hBOOL(hAPP(hAPP(c_fequal,X1),X1)),
inference(er,[status(thm)],[c_0_3305]) ).
cnf(c_0_3309,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3306,c_0_3307]),c_0_3308])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW306+1 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 5 03:37:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48 # ENIGMATIC: Selected SinE mode:
% 0.52/0.72 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.52/0.72 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.52/0.72 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.52/0.72 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 11.73/3.84 # ENIGMATIC: Solved by autoschedule-lgb:
% 11.73/3.84 # No SInE strategy applied
% 11.73/3.84 # Trying AutoSched0 for 150 seconds
% 11.73/3.84 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 11.73/3.84 # and selection function SelectComplexExceptUniqMaxHorn.
% 11.73/3.84 #
% 11.73/3.84 # Preprocessing time : 0.023 s
% 11.73/3.84 # Presaturation interreduction done
% 11.73/3.84
% 11.73/3.84 # Proof found!
% 11.73/3.84 # SZS status Theorem
% 11.73/3.84 # SZS output start CNFRefutation
% See solution above
% 11.73/3.84 # Training examples: 0 positive, 0 negative
% 11.73/3.84
% 11.73/3.84 # -------------------------------------------------
% 11.73/3.84 # User time : 0.232 s
% 11.73/3.84 # System time : 0.024 s
% 11.73/3.84 # Total time : 0.256 s
% 11.73/3.84 # Maximum resident set size: 9668 pages
% 11.73/3.84
%------------------------------------------------------------------------------