TSTP Solution File: SWW326+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW326+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n026.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 10.31s 3.77s
% Output : CNFRefutation 10.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 34 ( 7 unt; 6 nHn; 32 RR)
% Number of literals : 87 ( 0 equ; 53 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 51 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_11,hypothesis,
( v_P(X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_2(X3,X2)),v_G))
| ~ v_P(X1,X3)
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X3,v_n,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b8lt5zvv/lgb.p',i_0_11) ).
cnf(i_0_14,negated_conjecture,
v_P(esk3_0,esk4_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b8lt5zvv/lgb.p',i_0_14) ).
cnf(i_0_15,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b8lt5zvv/lgb.p',i_0_15) ).
cnf(i_0_1755,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b8lt5zvv/lgb.p',i_0_1755) ).
cnf(i_0_10,hypothesis,
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_2(X1,X2)),v_G))
| ~ v_P(X3,X1)
| ~ hBOOL(hAPP(v_b,X2))
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X1,v_n,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b8lt5zvv/lgb.p',i_0_10) ).
cnf(i_0_8,hypothesis,
( ~ v_P(X1,X2)
| ~ hBOOL(hAPP(v_b,X3))
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,esk2_2(X2,X3))
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X2,v_n,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b8lt5zvv/lgb.p',i_0_8) ).
cnf(i_0_1756,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b8lt5zvv/lgb.p',i_0_1756) ).
cnf(i_0_9,hypothesis,
( v_P(X1,X2)
| ~ v_P(X1,X3)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,esk2_2(X3,X2))
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X3,v_n,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b8lt5zvv/lgb.p',i_0_9) ).
cnf(i_0_13,negated_conjecture,
c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),esk4_0,v_n,esk5_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b8lt5zvv/lgb.p',i_0_13) ).
cnf(i_0_12,negated_conjecture,
( hBOOL(hAPP(v_b,esk5_0))
| ~ v_P(esk3_0,esk5_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b8lt5zvv/lgb.p',i_0_12) ).
cnf(c_0_1767,hypothesis,
( v_P(X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_2(X3,X2)),v_G))
| ~ v_P(X1,X3)
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X3,v_n,X2) ),
i_0_11 ).
cnf(c_0_1768,negated_conjecture,
v_P(esk3_0,esk4_0),
i_0_14 ).
cnf(c_0_1769,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ),
i_0_15 ).
cnf(c_0_1770,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
i_0_1755 ).
cnf(c_0_1771,hypothesis,
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_2(X1,X2)),v_G))
| ~ v_P(X3,X1)
| ~ hBOOL(hAPP(v_b,X2))
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X1,v_n,X2) ),
i_0_10 ).
cnf(c_0_1772,negated_conjecture,
( v_P(esk3_0,X1)
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_2(esk4_0,X1)),v_G))
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),esk4_0,v_n,X1) ),
inference(spm,[status(thm)],[c_0_1767,c_0_1768]) ).
cnf(c_0_1773,hypothesis,
( ~ v_P(X1,X2)
| ~ hBOOL(hAPP(v_b,X3))
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,esk2_2(X2,X3))
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X2,v_n,X3) ),
i_0_8 ).
cnf(c_0_1774,plain,
( c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X1)
| ~ hBOOL(hAPP(v_G,X1)) ),
inference(spm,[status(thm)],[c_0_1769,c_0_1770]) ).
cnf(c_0_1775,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X1)) ),
i_0_1756 ).
cnf(c_0_1776,negated_conjecture,
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_2(esk4_0,X1)),v_G))
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),esk4_0,v_n,X1)
| ~ hBOOL(hAPP(v_b,X1)) ),
inference(spm,[status(thm)],[c_0_1771,c_0_1768]) ).
cnf(c_0_1777,hypothesis,
( v_P(X1,X2)
| ~ v_P(X1,X3)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,esk2_2(X3,X2))
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X3,v_n,X2) ),
i_0_9 ).
cnf(c_0_1778,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,esk2_2(esk4_0,X1))
| v_P(esk3_0,X1)
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),esk4_0,v_n,X1) ),
inference(spm,[status(thm)],[c_0_1769,c_0_1772]) ).
cnf(c_0_1779,hypothesis,
( ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X1,v_n,X2)
| ~ v_P(X3,X1)
| ~ hBOOL(hAPP(v_G,esk2_2(X1,X2)))
| ~ hBOOL(hAPP(v_b,X2)) ),
inference(spm,[status(thm)],[c_0_1773,c_0_1774]) ).
cnf(c_0_1780,negated_conjecture,
c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),esk4_0,v_n,esk5_0),
i_0_13 ).
cnf(c_0_1781,plain,
( hBOOL(hAPP(v_G,esk2_2(esk4_0,X1)))
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),esk4_0,v_n,X1)
| ~ hBOOL(hAPP(v_b,X1)) ),
inference(spm,[status(thm)],[c_0_1775,c_0_1776]) ).
cnf(c_0_1782,hypothesis,
( v_P(esk3_0,X1)
| v_P(X2,X1)
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),esk4_0,v_n,X1)
| ~ v_P(X2,esk4_0) ),
inference(spm,[status(thm)],[c_0_1777,c_0_1778]) ).
cnf(c_0_1783,negated_conjecture,
( ~ v_P(X1,esk4_0)
| ~ hBOOL(hAPP(v_G,esk2_2(esk4_0,esk5_0)))
| ~ hBOOL(hAPP(v_b,esk5_0)) ),
inference(spm,[status(thm)],[c_0_1779,c_0_1780]) ).
cnf(c_0_1784,negated_conjecture,
( hBOOL(hAPP(v_G,esk2_2(esk4_0,esk5_0)))
| ~ hBOOL(hAPP(v_b,esk5_0)) ),
inference(spm,[status(thm)],[c_0_1781,c_0_1780]) ).
cnf(c_0_1785,negated_conjecture,
( v_P(esk3_0,esk5_0)
| v_P(X1,esk5_0)
| ~ v_P(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_1782,c_0_1780]) ).
cnf(c_0_1786,negated_conjecture,
( ~ v_P(X1,esk4_0)
| ~ hBOOL(hAPP(v_b,esk5_0)) ),
inference(spm,[status(thm)],[c_0_1783,c_0_1784]) ).
cnf(c_0_1787,negated_conjecture,
( hBOOL(hAPP(v_b,esk5_0))
| ~ v_P(esk3_0,esk5_0) ),
i_0_12 ).
cnf(c_0_1788,negated_conjecture,
v_P(esk3_0,esk5_0),
inference(spm,[status(thm)],[c_0_1785,c_0_1768]) ).
cnf(c_0_1789,negated_conjecture,
~ hBOOL(hAPP(v_b,esk5_0)),
inference(spm,[status(thm)],[c_0_1786,c_0_1768]) ).
cnf(c_0_1790,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1787,c_0_1788])]),c_0_1789]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW326+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n026.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 : Sun Jun 5 17:15:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 # ENIGMATIC: Selected SinE mode:
% 0.56/0.73 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.73 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.56/0.73 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.56/0.73 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 10.31/3.77 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.31/3.77 # No SInE strategy applied
% 10.31/3.77 # Trying AutoSched0 for 150 seconds
% 10.31/3.77 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 10.31/3.77 # and selection function SelectMaxLComplexAvoidPosPred.
% 10.31/3.77 #
% 10.31/3.77 # Preprocessing time : 0.021 s
% 10.31/3.77
% 10.31/3.77 # Proof found!
% 10.31/3.77 # SZS status Theorem
% 10.31/3.77 # SZS output start CNFRefutation
% See solution above
% 10.31/3.77 # Training examples: 0 positive, 0 negative
% 10.31/3.77
% 10.31/3.77 # -------------------------------------------------
% 10.31/3.77 # User time : 0.021 s
% 10.31/3.77 # System time : 0.007 s
% 10.31/3.77 # Total time : 0.029 s
% 10.31/3.77 # Maximum resident set size: 9560 pages
% 10.31/3.77
%------------------------------------------------------------------------------