TSTP Solution File: SWW328+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW328+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n032.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 00:02:00 EDT 2022
% Result : Theorem 8.44s 3.41s
% Output : CNFRefutation 8.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of clauses : 55 ( 23 unt; 8 nHn; 45 RR)
% Number of literals : 127 ( 20 equ; 70 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 21 ( 21 usr; 13 con; 0-3 aty)
% Number of variables : 75 ( 19 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_331,plain,
hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2)) = X2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7qnrpjcm/lgb.p',i_0_331) ).
cnf(i_0_326,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7qnrpjcm/lgb.p',i_0_326) ).
cnf(i_0_3476,plain,
hAPP(hAPP(hAPP(c_COMBC(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),X5),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7qnrpjcm/lgb.p',i_0_3476) ).
cnf(i_0_16,hypothesis,
( v_P(X1,v_s2)
| c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)
| ~ v_P(X1,v_s1)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,esk3_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7qnrpjcm/lgb.p',i_0_16) ).
cnf(i_0_23,negated_conjecture,
v_ba = v_b,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7qnrpjcm/lgb.p',i_0_23) ).
cnf(i_0_22,negated_conjecture,
v_c = v_ca,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7qnrpjcm/lgb.p',i_0_22) ).
cnf(i_0_21,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7qnrpjcm/lgb.p',i_0_21) ).
cnf(i_0_1761,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7qnrpjcm/lgb.p',i_0_1761) ).
cnf(i_0_15,hypothesis,
( c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)
| ~ v_P(X1,v_s1)
| ~ hBOOL(hAPP(v_b,v_s2))
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,esk3_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7qnrpjcm/lgb.p',i_0_15) ).
cnf(i_0_7,hypothesis,
( v_P(X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk1_1(X3)),v_G))
| ~ v_P(X1,X4)
| ~ hBOOL(hAPP(v_b,X4))
| ~ c_Natural_Oevaln(v_c,X4,X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7qnrpjcm/lgb.p',i_0_7) ).
cnf(i_0_9,hypothesis,
c_Natural_Oevaln(v_ca,v_s0,v_na,v_s1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7qnrpjcm/lgb.p',i_0_9) ).
cnf(i_0_8,hypothesis,
hBOOL(hAPP(v_ba,v_s0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7qnrpjcm/lgb.p',i_0_8) ).
cnf(i_0_18,hypothesis,
( v_P(X1,v_s2)
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk3_0),v_G))
| c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)
| ~ v_P(X1,v_s1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7qnrpjcm/lgb.p',i_0_18) ).
cnf(i_0_17,hypothesis,
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk3_0),v_G))
| c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)
| ~ v_P(X1,v_s1)
| ~ hBOOL(hAPP(v_b,v_s2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7qnrpjcm/lgb.p',i_0_17) ).
cnf(i_0_20,negated_conjecture,
v_P(esk4_0,v_s0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7qnrpjcm/lgb.p',i_0_20) ).
cnf(i_0_19,negated_conjecture,
( hBOOL(hAPP(v_b,v_s2))
| ~ v_P(esk4_0,v_s2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7qnrpjcm/lgb.p',i_0_19) ).
cnf(i_0_6,hypothesis,
( v_P(X1,X2)
| ~ v_P(X1,X3)
| ~ hBOOL(hAPP(v_b,X3))
| ~ c_Natural_Oevaln(v_c,X3,X4,X2)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X4,esk1_1(X4)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7qnrpjcm/lgb.p',i_0_6) ).
cnf(c_0_3494,plain,
hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2)) = X2,
i_0_331 ).
cnf(c_0_3495,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
i_0_326 ).
cnf(c_0_3496,plain,
hAPP(hAPP(hAPP(c_COMBC(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),X5),
i_0_3476 ).
cnf(c_0_3497,plain,
hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2) = X2,
inference(rw,[status(thm)],[c_0_3494,c_0_3495]) ).
cnf(c_0_3498,hypothesis,
( v_P(X1,v_s2)
| c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)
| ~ v_P(X1,v_s1)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,esk3_0) ),
i_0_16 ).
cnf(c_0_3499,negated_conjecture,
v_ba = v_b,
i_0_23 ).
cnf(c_0_3500,negated_conjecture,
v_c = v_ca,
i_0_22 ).
cnf(c_0_3501,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ),
i_0_21 ).
cnf(c_0_3502,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
i_0_1761 ).
cnf(c_0_3503,hypothesis,
( c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)
| ~ v_P(X1,v_s1)
| ~ hBOOL(hAPP(v_b,v_s2))
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,esk3_0) ),
i_0_15 ).
cnf(c_0_3504,hypothesis,
( v_P(X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk1_1(X3)),v_G))
| ~ v_P(X1,X4)
| ~ hBOOL(hAPP(v_b,X4))
| ~ c_Natural_Oevaln(v_c,X4,X3,X2) ),
i_0_7 ).
cnf(c_0_3505,plain,
hAPP(hAPP(c_member(X1),X2),X3) = hAPP(X3,X2),
inference(spm,[status(thm)],[c_0_3496,c_0_3497]) ).
cnf(c_0_3506,hypothesis,
c_Natural_Oevaln(v_ca,v_s0,v_na,v_s1),
i_0_9 ).
cnf(c_0_3507,hypothesis,
hBOOL(hAPP(v_ba,v_s0)),
i_0_8 ).
cnf(c_0_3508,hypothesis,
( v_P(X1,v_s2)
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk3_0),v_G))
| c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)
| ~ v_P(X1,v_s1) ),
i_0_18 ).
cnf(c_0_3509,hypothesis,
( v_P(X1,v_s2)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,esk3_0)
| ~ v_P(X1,v_s1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3498,c_0_3499]),c_0_3500])]) ).
cnf(c_0_3510,plain,
( c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,X1)
| ~ hBOOL(hAPP(v_G,X1)) ),
inference(spm,[status(thm)],[c_0_3501,c_0_3502]) ).
cnf(c_0_3511,hypothesis,
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk3_0),v_G))
| c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)
| ~ v_P(X1,v_s1)
| ~ hBOOL(hAPP(v_b,v_s2)) ),
i_0_17 ).
cnf(c_0_3512,hypothesis,
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,esk3_0)
| ~ v_P(X1,v_s1)
| ~ hBOOL(hAPP(v_b,v_s2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3503,c_0_3499]),c_0_3500])]) ).
cnf(c_0_3513,hypothesis,
( v_P(X1,X2)
| hBOOL(hAPP(v_G,esk1_1(X3)))
| ~ c_Natural_Oevaln(v_c,X4,X3,X2)
| ~ v_P(X1,X4)
| ~ hBOOL(hAPP(v_b,X4)) ),
inference(rw,[status(thm)],[c_0_3504,c_0_3505]) ).
cnf(c_0_3514,hypothesis,
c_Natural_Oevaln(v_c,v_s0,v_na,v_s1),
inference(rw,[status(thm)],[c_0_3506,c_0_3500]) ).
cnf(c_0_3515,hypothesis,
hBOOL(hAPP(v_b,v_s0)),
inference(rw,[status(thm)],[c_0_3507,c_0_3499]) ).
cnf(c_0_3516,hypothesis,
( v_P(X1,v_s2)
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk3_0),v_G))
| ~ v_P(X1,v_s1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3508,c_0_3499]),c_0_3500])]) ).
cnf(c_0_3517,hypothesis,
( v_P(X1,v_s2)
| ~ v_P(X1,v_s1)
| ~ hBOOL(hAPP(v_G,esk3_0)) ),
inference(spm,[status(thm)],[c_0_3509,c_0_3510]) ).
cnf(c_0_3518,hypothesis,
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk3_0),v_G))
| ~ v_P(X1,v_s1)
| ~ hBOOL(hAPP(v_b,v_s2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3511,c_0_3499]),c_0_3500])]) ).
cnf(c_0_3519,hypothesis,
( ~ v_P(X1,v_s1)
| ~ hBOOL(hAPP(v_b,v_s2))
| ~ hBOOL(hAPP(v_G,esk3_0)) ),
inference(spm,[status(thm)],[c_0_3512,c_0_3510]) ).
cnf(c_0_3520,hypothesis,
( v_P(X1,v_s1)
| hBOOL(hAPP(v_G,esk1_1(v_na)))
| ~ v_P(X1,v_s0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3513,c_0_3514]),c_0_3515])]) ).
cnf(c_0_3521,negated_conjecture,
v_P(esk4_0,v_s0),
i_0_20 ).
cnf(c_0_3522,negated_conjecture,
( hBOOL(hAPP(v_b,v_s2))
| ~ v_P(esk4_0,v_s2) ),
i_0_19 ).
cnf(c_0_3523,hypothesis,
( v_P(X1,v_s2)
| ~ v_P(X1,v_s1) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_3516,c_0_3505]),c_0_3517]) ).
cnf(c_0_3524,hypothesis,
( ~ v_P(X1,v_s1)
| ~ hBOOL(hAPP(v_b,v_s2)) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_3518,c_0_3505]),c_0_3519]) ).
cnf(c_0_3525,negated_conjecture,
( v_P(esk4_0,v_s1)
| hBOOL(hAPP(v_G,esk1_1(v_na))) ),
inference(spm,[status(thm)],[c_0_3520,c_0_3521]) ).
cnf(c_0_3526,negated_conjecture,
~ v_P(esk4_0,v_s1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3522,c_0_3523]),c_0_3524]) ).
cnf(c_0_3527,hypothesis,
( v_P(X1,X2)
| ~ v_P(X1,X3)
| ~ hBOOL(hAPP(v_b,X3))
| ~ c_Natural_Oevaln(v_c,X3,X4,X2)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X4,esk1_1(X4)) ),
i_0_6 ).
cnf(c_0_3528,negated_conjecture,
hBOOL(hAPP(v_G,esk1_1(v_na))),
inference(sr,[status(thm)],[c_0_3525,c_0_3526]) ).
cnf(c_0_3529,hypothesis,
( v_P(X1,X2)
| ~ c_Natural_Oevaln(v_c,X3,v_na,X2)
| ~ v_P(X1,X3)
| ~ hBOOL(hAPP(v_b,X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3527,c_0_3510]),c_0_3528])]) ).
cnf(c_0_3530,hypothesis,
( v_P(X1,v_s1)
| ~ v_P(X1,v_s0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3529,c_0_3514]),c_0_3515])]) ).
cnf(c_0_3531,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3530,c_0_3521]),c_0_3526]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : SWW328+1 : TPTP v8.1.0. Released v5.2.0.
% 0.10/0.11 % Command : enigmatic-eprover.py %s %d 1
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Sun Jun 5 06:11:20 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.15/0.40 # ENIGMATIC: Selected SinE mode:
% 0.43/0.61 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.43/0.61 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.43/0.61 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.43/0.61 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.44/3.41 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.44/3.41 # No SInE strategy applied
% 8.44/3.41 # Trying AutoSched0 for 150 seconds
% 8.44/3.41 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 8.44/3.41 # and selection function SelectMaxLComplexAvoidPosPred.
% 8.44/3.41 #
% 8.44/3.41 # Preprocessing time : 0.016 s
% 8.44/3.41
% 8.44/3.41 # Proof found!
% 8.44/3.41 # SZS status Theorem
% 8.44/3.41 # SZS output start CNFRefutation
% See solution above
% 8.44/3.41 # Training examples: 0 positive, 0 negative
% 8.44/3.41
% 8.44/3.41 # -------------------------------------------------
% 8.44/3.41 # User time : 0.021 s
% 8.44/3.41 # System time : 0.009 s
% 8.44/3.41 # Total time : 0.030 s
% 8.44/3.41 # Maximum resident set size: 9556 pages
% 8.44/3.41
%------------------------------------------------------------------------------