TSTP Solution File: SWW387+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW387+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n007.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 : Mon Jun 24 18:32:17 EDT 2024
% Result : Theorem 0.69s 0.94s
% Output : Refutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 14 unt; 0 def)
% Number of atoms : 63 ( 14 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 59 ( 26 ~; 20 |; 3 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 25 ( 20 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5865,plain,
$false,
inference(subsumption_resolution,[],[f5864,f5521]) ).
fof(f5521,plain,
c_Hoare__Mirabelle_Ostate__not__singleton,
inference(cnf_transformation,[],[f5244]) ).
fof(f5244,axiom,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5864,plain,
~ c_Hoare__Mirabelle_Ostate__not__singleton,
inference(subsumption_resolution,[],[f5863,f5522]) ).
fof(f5522,plain,
c_Com_OWT__bodies,
inference(cnf_transformation,[],[f5245]) ).
fof(f5245,axiom,
c_Com_OWT__bodies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5863,plain,
( ~ c_Com_OWT__bodies
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(subsumption_resolution,[],[f5852,f5849]) ).
fof(f5849,plain,
hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,v_pn))),
inference(resolution,[],[f5752,f5789]) ).
fof(f5789,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X0)))
| ~ sQ20_eqProxy(hAPP(c_Com_Obody,X0),hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1)) ),
inference(equality_proxy_replacement,[],[f5651,f5751]) ).
fof(f5751,plain,
! [X0,X1] :
( sQ20_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ20_eqProxy])]) ).
fof(f5651,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X0)))
| hAPP(c_Com_Obody,X0) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1) ),
inference(cnf_transformation,[],[f5498]) ).
fof(f5498,plain,
! [X0] :
( ( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X0)))
| ! [X1] : hAPP(c_Com_Obody,X0) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1) )
& ( hAPP(c_Com_Obody,X0) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),sK14(X0))
| ~ hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X0))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f5496,f5497]) ).
fof(f5497,plain,
! [X0] :
( ? [X2] : hAPP(c_Com_Obody,X0) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X2)
=> hAPP(c_Com_Obody,X0) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),sK14(X0)) ),
introduced(choice_axiom,[]) ).
fof(f5496,plain,
! [X0] :
( ( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X0)))
| ! [X1] : hAPP(c_Com_Obody,X0) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1) )
& ( ? [X2] : hAPP(c_Com_Obody,X0) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X2)
| ~ hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X0))) ) ),
inference(rectify,[],[f5495]) ).
fof(f5495,plain,
! [X0] :
( ( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X0)))
| ! [X1] : hAPP(c_Com_Obody,X0) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1) )
& ( ? [X1] : hAPP(c_Com_Obody,X0) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1)
| ~ hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X0))) ) ),
inference(nnf_transformation,[],[f5322]) ).
fof(f5322,plain,
! [X0] :
( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X0)))
<=> ? [X1] : hAPP(c_Com_Obody,X0) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X5] :
( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X5)))
<=> ? [X12] : hAPP(c_Com_Obody,X5) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5752,plain,
sQ20_eqProxy(hAPP(c_Com_Obody,v_pn),hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y)),
inference(equality_proxy_replacement,[],[f5524,f5751]) ).
fof(f5524,plain,
hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
inference(cnf_transformation,[],[f5247]) ).
fof(f5247,axiom,
hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5852,plain,
( ~ hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,v_pn)))
| ~ c_Com_OWT__bodies
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(resolution,[],[f5520,f5645]) ).
fof(f5645,plain,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
| ~ hBOOL(hAPP(c_Com_OWT,X0))
| ~ c_Com_OWT__bodies
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(cnf_transformation,[],[f5419]) ).
fof(f5419,plain,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
| ~ hBOOL(hAPP(c_Com_OWT,X0))
| ~ c_Com_OWT__bodies
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(flattening,[],[f5418]) ).
fof(f5418,plain,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
| ~ hBOOL(hAPP(c_Com_OWT,X0))
| ~ c_Com_OWT__bodies
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(ennf_transformation,[],[f5318]) ).
fof(f5318,plain,
! [X0] :
( c_Hoare__Mirabelle_Ostate__not__singleton
=> ( c_Com_OWT__bodies
=> ( hBOOL(hAPP(c_Com_OWT,X0))
=> c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X6] :
( c_Hoare__Mirabelle_Ostate__not__singleton
=> ( c_Com_OWT__bodies
=> ( hBOOL(hAPP(c_Com_OWT,X6))
=> c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X6)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5520,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pn))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
inference(cnf_transformation,[],[f5251]) ).
fof(f5251,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pn))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
inference(flattening,[],[f5250]) ).
fof(f5250,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pn))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
inference(negated_conjecture,[],[f5249]) ).
fof(f5249,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pn))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWW387+1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.13 % Command : run_vampire %s %d THM
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jun 19 06:18:24 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.21/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.21/0.37 Running first-order theorem proving
% 0.21/0.37 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/0.90 % (13044)Running in auto input_syntax mode. Trying TPTP
% 0.69/0.90 % (13048)lrs+11_1:12_to=lpo:sil=128000:sp=const_min:i=103397:ss=included:sgt=16:av=off:fsd=on:nm=16_0 on theBenchmark for (2999ds/103397Mi)
% 0.69/0.90 % (13044)Running in auto input_syntax mode. Trying TPTP
% 0.69/0.90 % (13052)lrs+1002_1:1_to=lpo:sil=2000:sp=frequency:sos=on:st=3.0:i=282:sd=2:ss=axioms_0 on theBenchmark for (2999ds/282Mi)
% 0.69/0.90 % (13044)Running in auto input_syntax mode. Trying TPTP
% 0.69/0.90 % (13051)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.69/0.90 % (13044)Running in auto input_syntax mode. Trying TPTP
% 0.69/0.90 % (13046)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.69/0.90 % (13044)Running in auto input_syntax mode. Trying TPTP
% 0.69/0.90 % (13049)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.69/0.90 % (13044)Running in auto input_syntax mode. Trying TPTP
% 0.69/0.90 % (13050)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.69/0.90 % (13044)Running in auto input_syntax mode. Trying TPTP
% 0.69/0.90 % (13047)lrs+2_3:1_to=lpo:sil=256000:irw=on:fde=unused:sp=unary_first:bce=on:nwc=6.0:s2agt=30:newcnf=on:s2a=on:i=140573:nm=2_0 on theBenchmark for (2999ds/140573Mi)
% 0.69/0.93 % (13051)First to succeed.
% 0.69/0.93 % (13051)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13044"
% 0.69/0.94 % (13044)Running in auto input_syntax mode. Trying TPTP
% 0.69/0.94 % (13051)Refutation found. Thanks to Tanya!
% 0.69/0.94 % SZS status Theorem for theBenchmark
% 0.69/0.94 % SZS output start Proof for theBenchmark
% See solution above
% 0.78/0.94 % (13051)------------------------------
% 0.78/0.94 % (13051)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.78/0.94 % (13051)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.78/0.94 % (13051)Termination reason: Refutation
% 0.78/0.94
% 0.78/0.94 % (13051)Memory used [KB]: 6292
% 0.78/0.94 % (13051)Time elapsed: 0.036 s
% 0.78/0.94 % (13051)Instructions burned: 66 (million)
% 0.78/0.94 % (13051)------------------------------
% 0.78/0.94 % (13051)------------------------------
% 0.78/0.94 % (13044)Success in time 0.111 s
%------------------------------------------------------------------------------