TSTP Solution File: SWW474+5 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW474+5 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 00:02:24 EDT 2022
% Result : Theorem 16.72s 3.61s
% Output : CNFRefutation 16.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of clauses : 33 ( 24 unt; 0 nHn; 21 RR)
% Number of literals : 50 ( 15 equ; 20 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 12 con; 0-4 aty)
% Number of variables : 53 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_170,plain,
( hBOOL(hAPP(com,bool,wt,X1))
| hAPP(pname,option(com),body,X2) != hAPP(com,option(com),some(com),X1)
| ~ hBOOL(wT_bodies) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yt9i_q7v/input.p',i_0_170) ).
cnf(i_0_212,hypothesis,
hBOOL(wT_bodies),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yt9i_q7v/input.p',i_0_212) ).
cnf(i_0_167,plain,
hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool))) = hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(X1,fun(X1,bool),fequal(X1),X2)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yt9i_q7v/input.p',i_0_167) ).
cnf(i_0_147,plain,
hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2) = hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yt9i_q7v/input.p',i_0_147) ).
cnf(i_0_32,plain,
hAPP(X1,X1,combi(X1),hAPP(X2,X1,X3,X4)) = hAPP(X2,X1,X3,X4),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yt9i_q7v/input.p',i_0_32) ).
cnf(i_0_216,hypothesis,
hAPP(com,option(com),some(com),y) = hAPP(pname,option(com),body,pn),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yt9i_q7v/input.p',i_0_216) ).
cnf(i_0_61,plain,
( hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X1)),bot_bot(fun(hoare_509422987triple(state),bool)))))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1883395792gleton)
| ~ hBOOL(hAPP(com,bool,wt,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yt9i_q7v/input.p',i_0_61) ).
cnf(i_0_211,hypothesis,
hBOOL(hoare_1883395792gleton),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yt9i_q7v/input.p',i_0_211) ).
cnf(i_0_218,negated_conjecture,
~ hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(pname,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(pname,hoare_509422987triple(state)),fun(fun(pname,bool),fun(hoare_509422987triple(state),bool)),image(pname,hoare_509422987triple(state)),hAPP(fun(pname,com),fun(pname,hoare_509422987triple(state)),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(pname,com),fun(pname,hoare_509422987triple(state))),combb(com,hoare_509422987triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_509422987triple(state),bool))))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yt9i_q7v/input.p',i_0_218) ).
cnf(i_0_119,plain,
hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),hAPP(fun(X4,bool),fun(X1,bool),hAPP(fun(X4,X1),fun(fun(X4,bool),fun(X1,bool)),image(X4,X1),X5),X6)) = hAPP(fun(X4,bool),fun(X2,bool),hAPP(fun(X4,X2),fun(fun(X4,bool),fun(X2,bool)),image(X4,X2),hAPP(fun(X4,X1),fun(X4,X2),hAPP(fun(X1,X2),fun(fun(X4,X1),fun(X4,X2)),combb(X1,X2,X4),X3),X5)),X6),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yt9i_q7v/input.p',i_0_119) ).
cnf(i_0_43,plain,
( hBOOL(hAPP(fun(hoare_509422987triple(X1),bool),bool,hAPP(fun(hoare_509422987triple(X1),bool),fun(fun(hoare_509422987triple(X1),bool),bool),hoare_122391849derivs(X1),X2),X3))
| ~ hBOOL(hAPP(fun(hoare_509422987triple(X1),bool),bool,hAPP(fun(hoare_509422987triple(X1),bool),fun(fun(hoare_509422987triple(X1),bool),bool),hoare_122391849derivs(X1),X2),X4))
| ~ hBOOL(hAPP(fun(hoare_509422987triple(X1),bool),bool,hAPP(fun(hoare_509422987triple(X1),bool),fun(fun(hoare_509422987triple(X1),bool),bool),hoare_122391849derivs(X1),X4),X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yt9i_q7v/input.p',i_0_43) ).
cnf(i_0_39,plain,
hBOOL(hAPP(fun(hoare_509422987triple(X1),bool),bool,hAPP(fun(hoare_509422987triple(X1),bool),fun(fun(hoare_509422987triple(X1),bool),bool),hoare_122391849derivs(X1),X2),bot_bot(fun(hoare_509422987triple(X1),bool)))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yt9i_q7v/input.p',i_0_39) ).
cnf(c_0_231,plain,
( hBOOL(hAPP(com,bool,wt,X1))
| hAPP(pname,option(com),body,X2) != hAPP(com,option(com),some(com),X1)
| ~ hBOOL(wT_bodies) ),
i_0_170 ).
cnf(c_0_232,hypothesis,
hBOOL(wT_bodies),
i_0_212 ).
cnf(c_0_233,plain,
hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool))) = hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(X1,fun(X1,bool),fequal(X1),X2)),
i_0_167 ).
cnf(c_0_234,plain,
hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2) = hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2),
i_0_147 ).
cnf(c_0_235,plain,
hAPP(X1,X1,combi(X1),hAPP(X2,X1,X3,X4)) = hAPP(X2,X1,X3,X4),
i_0_32 ).
cnf(c_0_236,plain,
( hBOOL(hAPP(com,bool,wt,X1))
| hAPP(pname,option(com),body,X2) != hAPP(com,option(com),some(com),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_231,c_0_232])]) ).
cnf(c_0_237,hypothesis,
hAPP(com,option(com),some(com),y) = hAPP(pname,option(com),body,pn),
i_0_216 ).
cnf(c_0_238,plain,
( hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X1)),bot_bot(fun(hoare_509422987triple(state),bool)))))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1883395792gleton)
| ~ hBOOL(hAPP(com,bool,wt,X1)) ),
i_0_61 ).
cnf(c_0_239,plain,
hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool))) = hAPP(X1,fun(X1,bool),fequal(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_233,c_0_234]),c_0_235]) ).
cnf(c_0_240,hypothesis,
hBOOL(hoare_1883395792gleton),
i_0_211 ).
cnf(c_0_241,hypothesis,
( hBOOL(hAPP(com,bool,wt,y))
| hAPP(pname,option(com),body,X1) != hAPP(pname,option(com),body,pn) ),
inference(spm,[status(thm)],[c_0_236,c_0_237]) ).
cnf(c_0_242,plain,
( hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(hoare_509422987triple(state),fun(hoare_509422987triple(state),bool),fequal(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,X1))))
| ~ hBOOL(hAPP(com,bool,wt,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_238,c_0_239]),c_0_232]),c_0_240])]) ).
cnf(c_0_243,hypothesis,
hBOOL(hAPP(com,bool,wt,y)),
inference(er,[status(thm)],[c_0_241]) ).
cnf(c_0_244,negated_conjecture,
~ hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(pname,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(pname,hoare_509422987triple(state)),fun(fun(pname,bool),fun(hoare_509422987triple(state),bool)),image(pname,hoare_509422987triple(state)),hAPP(fun(pname,com),fun(pname,hoare_509422987triple(state)),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(pname,com),fun(pname,hoare_509422987triple(state))),combb(com,hoare_509422987triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool),hAPP(hoare_509422987triple(state),fun(fun(hoare_509422987triple(state),bool),fun(hoare_509422987triple(state),bool)),insert(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_509422987triple(state),bool))))),
i_0_218 ).
cnf(c_0_245,plain,
hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),hAPP(fun(X4,bool),fun(X1,bool),hAPP(fun(X4,X1),fun(fun(X4,bool),fun(X1,bool)),image(X4,X1),X5),X6)) = hAPP(fun(X4,bool),fun(X2,bool),hAPP(fun(X4,X2),fun(fun(X4,bool),fun(X2,bool)),image(X4,X2),hAPP(fun(X4,X1),fun(X4,X2),hAPP(fun(X1,X2),fun(fun(X4,X1),fun(X4,X2)),combb(X1,X2,X4),X3),X5)),X6),
i_0_119 ).
cnf(c_0_246,plain,
( hBOOL(hAPP(fun(hoare_509422987triple(X1),bool),bool,hAPP(fun(hoare_509422987triple(X1),bool),fun(fun(hoare_509422987triple(X1),bool),bool),hoare_122391849derivs(X1),X2),X3))
| ~ hBOOL(hAPP(fun(hoare_509422987triple(X1),bool),bool,hAPP(fun(hoare_509422987triple(X1),bool),fun(fun(hoare_509422987triple(X1),bool),bool),hoare_122391849derivs(X1),X2),X4))
| ~ hBOOL(hAPP(fun(hoare_509422987triple(X1),bool),bool,hAPP(fun(hoare_509422987triple(X1),bool),fun(fun(hoare_509422987triple(X1),bool),bool),hoare_122391849derivs(X1),X4),X3)) ),
i_0_43 ).
cnf(c_0_247,plain,
hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),bot_bot(fun(hoare_509422987triple(state),bool))),hAPP(hoare_509422987triple(state),fun(hoare_509422987triple(state),bool),fequal(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)))),
inference(spm,[status(thm)],[c_0_242,c_0_243]) ).
cnf(c_0_248,plain,
hBOOL(hAPP(fun(hoare_509422987triple(X1),bool),bool,hAPP(fun(hoare_509422987triple(X1),bool),fun(fun(hoare_509422987triple(X1),bool),bool),hoare_122391849derivs(X1),X2),bot_bot(fun(hoare_509422987triple(X1),bool)))),
i_0_39 ).
cnf(c_0_249,negated_conjecture,
~ hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),hAPP(fun(com,bool),fun(hoare_509422987triple(state),bool),hAPP(fun(com,hoare_509422987triple(state)),fun(fun(com,bool),fun(hoare_509422987triple(state),bool)),image(com,hoare_509422987triple(state)),hoare_Mirabelle_MGT),hAPP(fun(pname,bool),fun(com,bool),hAPP(fun(pname,com),fun(fun(pname,bool),fun(com,bool)),image(pname,com),body_1),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body)))),hAPP(hoare_509422987triple(state),fun(hoare_509422987triple(state),bool),fequal(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_244,c_0_245]),c_0_239]) ).
cnf(c_0_250,plain,
hBOOL(hAPP(fun(hoare_509422987triple(state),bool),bool,hAPP(fun(hoare_509422987triple(state),bool),fun(fun(hoare_509422987triple(state),bool),bool),hoare_122391849derivs(state),X1),hAPP(hoare_509422987triple(state),fun(hoare_509422987triple(state),bool),fequal(hoare_509422987triple(state)),hAPP(com,hoare_509422987triple(state),hoare_Mirabelle_MGT,y)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_248])]) ).
cnf(c_0_251,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_249,c_0_250])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWW474+5 : TPTP v8.1.0. Released v5.3.0.
% 0.08/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jun 6 07:44:36 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.22/0.48 # ENIGMATIC: Selected complete mode:
% 16.72/3.61 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 16.72/3.61 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 68; version: 991; iters: 150)
% 16.72/3.61 # Preprocessing time : 0.953 s
% 16.72/3.61 # Presaturation interreduction done
% 16.72/3.61
% 16.72/3.61 # Proof found!
% 16.72/3.61 # SZS status Theorem
% 16.72/3.61 # SZS output start CNFRefutation
% See solution above
% 16.72/3.61 # Training examples: 0 positive, 0 negative
% 16.72/3.61
% 16.72/3.61 # -------------------------------------------------
% 16.72/3.61 # User time : 0.878 s
% 16.72/3.61 # System time : 0.115 s
% 16.72/3.61 # Total time : 0.993 s
% 16.72/3.61 # ...preprocessing : 0.953 s
% 16.72/3.61 # ...main loop : 0.040 s
% 16.72/3.61 # Maximum resident set size: 168656 pages
% 16.72/3.61
%------------------------------------------------------------------------------