TSTP Solution File: SWW336+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW336+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n025.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 00:02:01 EDT 2022
% Result : Theorem 10.97s 3.98s
% Output : CNFRefutation 10.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of clauses : 43 ( 12 unt; 14 nHn; 25 RR)
% Number of literals : 91 ( 12 equ; 36 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-2 aty)
% Number of variables : 70 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1050,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(X3),X1),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X1),hAPP(hAPP(c_Set_Oinsert(X3),X2),X4))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g_g4jo16/lgb.p',i_0_1050) ).
cnf(i_0_38,negated_conjecture,
hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk4_0),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g_g4jo16/lgb.p',i_0_38) ).
cnf(i_0_35,hypothesis,
( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk2_1(X1))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g_g4jo16/lgb.p',i_0_35) ).
cnf(i_0_39,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(t_a,esk3_0,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g_g4jo16/lgb.p',i_0_39) ).
cnf(i_0_1486,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g_g4jo16/lgb.p',i_0_1486) ).
cnf(i_0_36,hypothesis,
( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_1(X1)),v_G))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g_g4jo16/lgb.p',i_0_36) ).
cnf(i_0_32,hypothesis,
( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk1_1(X1))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g_g4jo16/lgb.p',i_0_32) ).
cnf(i_0_2448,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-g_g4jo16/lgb.p',i_0_2448) ).
cnf(i_0_1031,plain,
( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),X4))
| X2 != X4 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g_g4jo16/lgb.p',i_0_1031) ).
cnf(i_0_37,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,esk3_0,esk4_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g_g4jo16/lgb.p',i_0_37) ).
cnf(i_0_1487,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g_g4jo16/lgb.p',i_0_1487) ).
cnf(i_0_33,hypothesis,
( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk1_1(X1)),v_G))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g_g4jo16/lgb.p',i_0_33) ).
cnf(c_0_2461,plain,
( X1 = X2
| hBOOL(hAPP(hAPP(c_member(X3),X1),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X1),hAPP(hAPP(c_Set_Oinsert(X3),X2),X4))) ),
i_0_1050 ).
cnf(c_0_2462,negated_conjecture,
hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk4_0),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts))),
i_0_38 ).
cnf(c_0_2463,hypothesis,
( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk2_1(X1))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts)) ),
i_0_35 ).
cnf(c_0_2464,negated_conjecture,
( esk4_0 = v_t
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk4_0),v_ts)) ),
inference(spm,[status(thm)],[c_0_2461,c_0_2462]) ).
cnf(c_0_2465,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(t_a,esk3_0,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ),
i_0_39 ).
cnf(c_0_2466,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
i_0_1486 ).
cnf(c_0_2467,hypothesis,
( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_1(X1)),v_G))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts)) ),
i_0_36 ).
cnf(c_0_2468,hypothesis,
( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk1_1(X1))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))) ),
i_0_32 ).
cnf(c_0_2469,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_2448 ).
cnf(c_0_2470,plain,
( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),X4))
| X2 != X4 ),
i_0_1031 ).
cnf(c_0_2471,hypothesis,
( esk4_0 = v_t
| c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk4_0)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk2_1(X1)) ),
inference(spm,[status(thm)],[c_0_2463,c_0_2464]) ).
cnf(c_0_2472,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(t_a,esk3_0,X1)
| ~ hBOOL(hAPP(v_G,X1)) ),
inference(spm,[status(thm)],[c_0_2465,c_0_2466]) ).
cnf(c_0_2473,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,esk3_0,esk4_0),
i_0_37 ).
cnf(c_0_2474,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X1)) ),
i_0_1487 ).
cnf(c_0_2475,negated_conjecture,
( esk4_0 = v_t
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_1(X1)),v_G))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_2467,c_0_2464]) ).
cnf(c_0_2476,hypothesis,
( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk1_1(X1)),v_G))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))) ),
i_0_33 ).
cnf(c_0_2477,hypothesis,
( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),hAPP(c_Set_OCollect(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(c_fequal,v_t))))
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk1_1(X1)) ),
inference(rw,[status(thm)],[c_0_2468,c_0_2469]) ).
cnf(c_0_2478,plain,
hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),X2)),
inference(er,[status(thm)],[c_0_2470]) ).
cnf(c_0_2479,negated_conjecture,
( esk4_0 = v_t
| ~ hBOOL(hAPP(v_G,esk2_1(esk3_0))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2471,c_0_2472]),c_0_2473]) ).
cnf(c_0_2480,plain,
( esk4_0 = v_t
| hBOOL(hAPP(v_G,esk2_1(X1)))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_2474,c_0_2475]) ).
cnf(c_0_2481,hypothesis,
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk1_1(X1)),v_G))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),hAPP(c_Set_OCollect(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(c_fequal,v_t)))) ),
inference(rw,[status(thm)],[c_0_2476,c_0_2469]) ).
cnf(c_0_2482,plain,
( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2)
| ~ hBOOL(hAPP(hAPP(c_Set_OCollect(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(c_fequal,v_t)),X2))
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk1_1(X1)) ),
inference(spm,[status(thm)],[c_0_2477,c_0_2466]) ).
cnf(c_0_2483,plain,
hBOOL(hAPP(hAPP(c_Set_OCollect(X1),hAPP(c_fequal,X2)),X2)),
inference(spm,[status(thm)],[c_0_2478,c_0_2469]) ).
cnf(c_0_2484,negated_conjecture,
esk4_0 = v_t,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2479,c_0_2480]),c_0_2473]) ).
cnf(c_0_2485,plain,
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk1_1(X1)),v_G))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2)
| ~ hBOOL(hAPP(hAPP(c_Set_OCollect(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(c_fequal,v_t)),X2)) ),
inference(spm,[status(thm)],[c_0_2481,c_0_2466]) ).
cnf(c_0_2486,plain,
( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,v_t)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk1_1(X1)) ),
inference(spm,[status(thm)],[c_0_2482,c_0_2483]) ).
cnf(c_0_2487,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,esk3_0,v_t),
inference(rw,[status(thm)],[c_0_2473,c_0_2484]) ).
cnf(c_0_2488,plain,
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk1_1(X1)),v_G))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X1,v_t) ),
inference(spm,[status(thm)],[c_0_2485,c_0_2483]) ).
cnf(c_0_2489,negated_conjecture,
~ hBOOL(hAPP(v_G,esk1_1(esk3_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2486,c_0_2472]),c_0_2487]) ).
cnf(c_0_2490,plain,
( hBOOL(hAPP(v_G,esk1_1(X1)))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X1,v_t) ),
inference(spm,[status(thm)],[c_0_2474,c_0_2488]) ).
cnf(c_0_2491,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2489,c_0_2490]),c_0_2487]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SWW336+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.31 % Computer : n025.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sat Jun 4 15:18:33 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.17/0.44 # ENIGMATIC: Selected SinE mode:
% 0.58/0.76 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.58/0.76 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.58/0.76 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.58/0.76 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 10.97/3.98 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.97/3.98 # No SInE strategy applied
% 10.97/3.98 # Trying AutoSched0 for 150 seconds
% 10.97/3.98 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 10.97/3.98 # and selection function SelectComplexExceptUniqMaxHorn.
% 10.97/3.98 #
% 10.97/3.98 # Preprocessing time : 0.014 s
% 10.97/3.98 # Presaturation interreduction done
% 10.97/3.98
% 10.97/3.98 # Proof found!
% 10.97/3.98 # SZS status Theorem
% 10.97/3.98 # SZS output start CNFRefutation
% See solution above
% 10.97/3.98 # Training examples: 0 positive, 0 negative
% 10.97/3.98
% 10.97/3.98 # -------------------------------------------------
% 10.97/3.98 # User time : 0.024 s
% 10.97/3.98 # System time : 0.006 s
% 10.97/3.98 # Total time : 0.031 s
% 10.97/3.98 # Maximum resident set size: 9536 pages
% 10.97/3.98
%------------------------------------------------------------------------------