TSTP Solution File: SWW319+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW319+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% 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 : 300s
% DateTime : Mon Jun 24 18:32:01 EDT 2024
% Result : Theorem 0.88s 0.65s
% Output : Refutation 0.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 40 ( 14 unt; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 72 ( 29 ~; 27 |; 8 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 65 ( 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6164,plain,
$false,
inference(avatar_sat_refutation,[],[f5546,f5729,f6163]) ).
fof(f6163,plain,
spl12_1,
inference(avatar_contradiction_clause,[],[f6162]) ).
fof(f6162,plain,
( $false
| spl12_1 ),
inference(subsumption_resolution,[],[f6161,f5479]) ).
fof(f5479,plain,
! [X2,X0,X1] : hBOOL(hAPP(hAPP(c_member(X2),X1),hAPP(hAPP(c_Set_Oinsert(X2),X1),X0))),
inference(cnf_transformation,[],[f5284]) ).
fof(f5284,plain,
! [X0,X1,X2] : hBOOL(hAPP(hAPP(c_member(X2),X1),hAPP(hAPP(c_Set_Oinsert(X2),X1),X0))),
inference(rectify,[],[f79]) ).
fof(f79,axiom,
! [X38,X5,X4] : hBOOL(hAPP(hAPP(c_member(X4),X5),hAPP(hAPP(c_Set_Oinsert(X4),X5),X38))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f6161,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)))
| spl12_1 ),
inference(subsumption_resolution,[],[f6157,f5396]) ).
fof(f5396,plain,
! [X0,X1] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X0)),
inference(cnf_transformation,[],[f5245]) ).
fof(f5245,plain,
! [X0,X1] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X0)),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X9,X4] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool))),X9)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f6157,plain,
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)))
| spl12_1 ),
inference(resolution,[],[f5735,f5411]) ).
fof(f5411,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X0))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X0)) ),
inference(cnf_transformation,[],[f5348]) ).
fof(f5348,plain,
! [X0,X1,X2,X3] :
( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X0))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X0)) )
& ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X0))
& hBOOL(hAPP(hAPP(c_member(X3),X2),X0)) )
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0)) ) ),
inference(flattening,[],[f5347]) ).
fof(f5347,plain,
! [X0,X1,X2,X3] :
( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X0))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X0)) )
& ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X0))
& hBOOL(hAPP(hAPP(c_member(X3),X2),X0)) )
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0)) ) ),
inference(nnf_transformation,[],[f5251]) ).
fof(f5251,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0))
<=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X0))
& hBOOL(hAPP(hAPP(c_member(X3),X2),X0)) ) ),
inference(rectify,[],[f72]) ).
fof(f72,axiom,
! [X38,X9,X13,X4] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X4),X13),X9)),X38))
<=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool)),X9),X38))
& hBOOL(hAPP(hAPP(c_member(X4),X13),X38)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5735,plain,
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)))
| spl12_1 ),
inference(resolution,[],[f5541,f5550]) ).
fof(f5550,plain,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,X0)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),X0),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts))) ),
inference(resolution,[],[f5375,f5377]) ).
fof(f5377,plain,
! [X2,X3,X0,X1] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)),X0),X1))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
inference(cnf_transformation,[],[f5292]) ).
fof(f5292,plain,
! [X0,X1,X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)),X0),X1))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
inference(flattening,[],[f5291]) ).
fof(f5291,plain,
! [X0,X1,X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)),X0),X1))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
inference(ennf_transformation,[],[f5230]) ).
fof(f5230,plain,
! [X0,X1,X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1)
=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)),X0),X1))
=> c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0) ) ),
inference(rectify,[],[f88]) ).
fof(f88,axiom,
! [X6,X46,X3,X4] :
( c_Hoare__Mirabelle_Ohoare__derivs(X4,X3,X46)
=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X4),tc_HOL_Obool)),X6),X46))
=> c_Hoare__Mirabelle_Ohoare__derivs(X4,X3,X6) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5375,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)),
inference(cnf_transformation,[],[f5226]) ).
fof(f5226,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5541,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
| spl12_1 ),
inference(avatar_component_clause,[],[f5539]) ).
fof(f5539,plain,
( spl12_1
<=> c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f5729,plain,
spl12_2,
inference(avatar_contradiction_clause,[],[f5728]) ).
fof(f5728,plain,
( $false
| spl12_2 ),
inference(subsumption_resolution,[],[f5723,f5478]) ).
fof(f5478,plain,
! [X2,X0,X1] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X1),hAPP(hAPP(c_Set_Oinsert(X2),X0),X1))),
inference(cnf_transformation,[],[f5283]) ).
fof(f5283,plain,
! [X0,X1,X2] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X1),hAPP(hAPP(c_Set_Oinsert(X2),X0),X1))),
inference(rectify,[],[f84]) ).
fof(f84,axiom,
! [X5,X38,X4] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool)),X38),hAPP(hAPP(c_Set_Oinsert(X4),X5),X38))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5723,plain,
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)))
| spl12_2 ),
inference(resolution,[],[f5545,f5550]) ).
fof(f5545,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts)
| spl12_2 ),
inference(avatar_component_clause,[],[f5543]) ).
fof(f5543,plain,
( spl12_2
<=> c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f5546,plain,
( ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f5374,f5543,f5539]) ).
fof(f5374,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
inference(cnf_transformation,[],[f5288]) ).
fof(f5288,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
inference(ennf_transformation,[],[f5228]) ).
fof(f5228,negated_conjecture,
~ ( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts)
& c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
inference(negated_conjecture,[],[f5227]) ).
fof(f5227,conjecture,
( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts)
& c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWW319+1 : TPTP v8.2.0. Released v5.2.0.
% 0.00/0.10 % Command : run_vampire %s %d THM
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Wed Jun 19 06:08:54 EDT 2024
% 0.10/0.29 % CPUTime :
% 0.14/0.31 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.31 Running first-order theorem proving
% 0.14/0.31 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.57 % (10789)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.57 % (10791)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)
% 0.17/0.57 % (10789)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.57 % (10794)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.17/0.57 % (10789)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.57 % (10790)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.17/0.59 % (10789)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.59 % (10796)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)
% 0.17/0.59 % (10789)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.59 % (10795)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.17/0.59 % (10789)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.59 % (10793)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.73/0.60 % (10789)Running in auto input_syntax mode. Trying TPTP
% 0.73/0.60 % (10792)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)
% 0.88/0.63 % (10794)Instruction limit reached!
% 0.88/0.63 % (10794)------------------------------
% 0.88/0.63 % (10794)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.88/0.63 % (10794)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.88/0.63 % (10794)Termination reason: Time limit
% 0.88/0.63 % (10794)Termination phase: Saturation
% 0.88/0.63
% 0.88/0.63 % (10794)Memory used [KB]: 6672
% 0.88/0.63 % (10794)Time elapsed: 0.062 s
% 0.88/0.63 % (10794)Instructions burned: 250 (million)
% 0.88/0.64 % (10795)First to succeed.
% 0.88/0.65 % (10795)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10789"
% 0.88/0.65 % (10789)Running in auto input_syntax mode. Trying TPTP
% 0.88/0.65 % (10795)Refutation found. Thanks to Tanya!
% 0.88/0.65 % SZS status Theorem for theBenchmark
% 0.88/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 0.88/0.65 % (10795)------------------------------
% 0.88/0.65 % (10795)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.88/0.65 % (10795)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.88/0.65 % (10795)Termination reason: Refutation
% 0.88/0.65
% 0.88/0.65 % (10795)Memory used [KB]: 6325
% 0.88/0.65 % (10795)Time elapsed: 0.057 s
% 0.88/0.65 % (10795)Instructions burned: 105 (million)
% 0.88/0.65 % (10795)------------------------------
% 0.88/0.65 % (10795)------------------------------
% 0.88/0.65 % (10789)Success in time 0.124 s
%------------------------------------------------------------------------------