TSTP Solution File: SWW473+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWW473+1 : TPTP v8.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n022.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 : 300s
% DateTime : Tue May 21 07:23:56 EDT 2024
% Result : Theorem 4.36s 1.02s
% Output : Refutation 4.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 48 ( 19 unt; 0 def)
% Number of atoms : 87 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 73 ( 34 ~; 25 |; 0 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-2 aty)
% Number of variables : 80 ( 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16690,plain,
$false,
inference(resolution,[],[f16681,f1316]) ).
fof(f1316,plain,
! [X0] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X0),X0)),
inference(cnf_transformation,[],[f462]) ).
fof(f462,plain,
! [X0] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X0),X0)),
inference(rectify,[],[f308]) ).
fof(f308,axiom,
! [X4] : hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_226_subset__refl) ).
fof(f16681,plain,
~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,u),u)),
inference(resolution,[],[f16668,f1287]) ).
fof(f1287,plain,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
inference(cnf_transformation,[],[f444]) ).
fof(f444,axiom,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(f16668,plain,
! [X0] :
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,X0)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X0),u)) ),
inference(resolution,[],[f16653,f12602]) ).
fof(f12602,plain,
! [X0] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(pn,X0)),u))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X0),u)) ),
inference(superposition,[],[f1773,f3046]) ).
fof(f3046,plain,
u = insert_pname(pn,u),
inference(resolution,[],[f3045,f1285]) ).
fof(f1285,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
inference(cnf_transformation,[],[f447]) ).
fof(f447,axiom,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).
fof(f3045,plain,
! [X0] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),u))
| u = insert_pname(X0,u) ),
inference(resolution,[],[f1442,f1283]) ).
fof(f1283,plain,
is_fun_pname_bool(u),
inference(cnf_transformation,[],[f80]) ).
fof(f80,axiom,
is_fun_pname_bool(u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_v_U) ).
fof(f1442,plain,
! [X0,X1] :
( ~ is_fun_pname_bool(X1)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),X1))
| insert_pname(X0,X1) = X1 ),
inference(cnf_transformation,[],[f874]) ).
fof(f874,plain,
! [X0,X1] :
( insert_pname(X0,X1) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),X1))
| ~ is_fun_pname_bool(X1) ),
inference(flattening,[],[f873]) ).
fof(f873,plain,
! [X0,X1] :
( insert_pname(X0,X1) = X1
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),X1))
| ~ is_fun_pname_bool(X1) ),
inference(ennf_transformation,[],[f530]) ).
fof(f530,plain,
! [X0,X1] :
( is_fun_pname_bool(X1)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),X1))
=> insert_pname(X0,X1) = X1 ) ),
inference(rectify,[],[f305]) ).
fof(f305,axiom,
! [X7,X4] :
( is_fun_pname_bool(X4)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X7),X4))
=> insert_pname(X7,X4) = X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_223_insert__absorb) ).
fof(f1773,plain,
! [X2,X0,X1] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X0,X1)),insert_pname(X0,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(cnf_transformation,[],[f1138]) ).
fof(f1138,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X0,X1)),insert_pname(X0,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(ennf_transformation,[],[f784]) ).
fof(f784,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X0,X1)),insert_pname(X0,X2))) ),
inference(rectify,[],[f364]) ).
fof(f364,axiom,
! [X7,X33,X36] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X33),X36))
=> hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X7,X33)),insert_pname(X7,X36))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_282_insert__mono) ).
fof(f16653,plain,
! [X0] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(pn,X0)),u))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,X0))) ),
inference(resolution,[],[f15751,f1772]) ).
fof(f1772,plain,
! [X2,X0,X1] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(X0,X1)),image_pname_a(X0,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(cnf_transformation,[],[f1137]) ).
fof(f1137,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(X0,X1)),image_pname_a(X0,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)) ),
inference(ennf_transformation,[],[f783]) ).
fof(f783,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))
=> hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(X0,X1)),image_pname_a(X0,X2))) ),
inference(rectify,[],[f369]) ).
fof(f369,axiom,
! [X8,X4,X9] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X4),X9))
=> hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(X8,X4)),image_pname_a(X8,X9))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_287_image__mono) ).
fof(f15751,plain,
! [X0] :
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(mgt_call,insert_pname(pn,X0))),image_pname_a(mgt_call,u)))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,X0))) ),
inference(superposition,[],[f15305,f1710]) ).
fof(f1710,plain,
! [X2,X0,X1] : image_pname_a(X0,insert_pname(X1,X2)) = insert_a(hAPP_pname_a(X0,X1),image_pname_a(X0,X2)),
inference(cnf_transformation,[],[f739]) ).
fof(f739,plain,
! [X0,X1,X2] : image_pname_a(X0,insert_pname(X1,X2)) = insert_a(hAPP_pname_a(X0,X1),image_pname_a(X0,X2)),
inference(rectify,[],[f366]) ).
fof(f366,axiom,
! [X8,X7,X9] : image_pname_a(X8,insert_pname(X7,X9)) = insert_a(hAPP_pname_a(X8,X7),image_pname_a(X8,X9)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_284_image__insert) ).
fof(f15305,plain,
! [X0] :
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),X0)),image_pname_a(mgt_call,u)))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),X0)) ),
inference(resolution,[],[f15160,f1762]) ).
fof(f1762,plain,
! [X2,X0,X1] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),insert_a(X0,X2)))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2)) ),
inference(cnf_transformation,[],[f1122]) ).
fof(f1122,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),insert_a(X0,X2)))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2)) ),
inference(ennf_transformation,[],[f773]) ).
fof(f773,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))
=> hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),insert_a(X0,X2))) ),
inference(rectify,[],[f365]) ).
fof(f365,axiom,
! [X7,X33,X36] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X33),X36))
=> hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X7,X33)),insert_a(X7,X36))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_283_insert__mono) ).
fof(f15160,plain,
! [X0] :
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),X0))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0),image_pname_a(mgt_call,u))) ),
inference(resolution,[],[f1766,f1279]) ).
fof(f1279,plain,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
inference(cnf_transformation,[],[f451]) ).
fof(f451,plain,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
inference(flattening,[],[f450]) ).
fof(f450,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
inference(negated_conjecture,[],[f449]) ).
fof(f449,conjecture,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_6) ).
fof(f1766,plain,
! [X2,X0,X1] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X0))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X0))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2)) ),
inference(cnf_transformation,[],[f1130]) ).
fof(f1130,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X0))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X0))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2)) ),
inference(flattening,[],[f1129]) ).
fof(f1129,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X0))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X0))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2)) ),
inference(ennf_transformation,[],[f777]) ).
fof(f777,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))
=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X0))
=> hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X0)) ) ),
inference(rectify,[],[f330]) ).
fof(f330,axiom,
! [X33,X4,X9] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X4),X9))
=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X9),X33))
=> hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X4),X33)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_248_subset__trans) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW473+1 : TPTP v8.2.0. Released v5.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 19:44:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (25720)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.39 % (25723)WARNING: value z3 for option sas not known
% 0.21/0.39 % (25727)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.39 % (25724)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.40 % (25721)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.40 % (25725)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.40 % (25722)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.40 % (25723)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.40 % (25726)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 1.27/0.57 TRYING [1]
% 1.27/0.58 TRYING [2]
% 1.27/0.60 TRYING [1]
% 1.27/0.61 TRYING [2]
% 2.27/0.68 TRYING [3]
% 2.27/0.69 TRYING [3]
% 2.27/0.71 TRYING [1]
% 2.27/0.73 TRYING [2]
% 3.98/0.93 TRYING [4]
% 4.36/1.01 % (25726)First to succeed.
% 4.36/1.02 % (25726)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25720"
% 4.36/1.02 % (25726)Refutation found. Thanks to Tanya!
% 4.36/1.02 % SZS status Theorem for theBenchmark
% 4.36/1.02 % SZS output start Proof for theBenchmark
% See solution above
% 4.36/1.02 % (25726)------------------------------
% 4.36/1.02 % (25726)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 4.36/1.02 % (25726)Termination reason: Refutation
% 4.36/1.02
% 4.36/1.02 % (25726)Memory used [KB]: 15706
% 4.36/1.02 % (25726)Time elapsed: 0.624 s
% 4.36/1.02 % (25726)Instructions burned: 1578 (million)
% 4.36/1.02 % (25720)Success in time 0.664 s
%------------------------------------------------------------------------------