TSTP Solution File: SWW348+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW348+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n025.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 18:32:08 EDT 2024
% Result : Theorem 0.60s 0.84s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 6 unt; 0 def)
% Number of atoms : 99 ( 54 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 102 ( 38 ~; 33 |; 13 &)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 75 ( 57 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5524,plain,
$false,
inference(subsumption_resolution,[],[f5523,f5286]) ).
fof(f5286,plain,
c_Hoare__Mirabelle_Ostate__not__singleton,
inference(cnf_transformation,[],[f5226]) ).
fof(f5226,axiom,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5523,plain,
~ c_Hoare__Mirabelle_Ostate__not__singleton,
inference(subsumption_resolution,[],[f5466,f5426]) ).
fof(f5426,plain,
! [X0] : sK1 = X0,
inference(subsumption_resolution,[],[f5420,f5285]) ).
fof(f5285,plain,
~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK0),sK1)),
inference(cnf_transformation,[],[f5256]) ).
fof(f5256,plain,
( ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK0),sK1))
& ! [X2] :
( sK1 = X2
| ( sK2(X2) != X2
& hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK0),sK2(X2))) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f5241,f5255,f5254]) ).
fof(f5254,plain,
( ? [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),X0),X1))
& ! [X2] :
( X1 = X2
| ? [X3] :
( X2 != X3
& hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),X0),X3)) ) ) )
=> ( ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK0),sK1))
& ! [X2] :
( sK1 = X2
| ? [X3] :
( X2 != X3
& hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK0),X3)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f5255,plain,
! [X2] :
( ? [X3] :
( X2 != X3
& hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK0),X3)) )
=> ( sK2(X2) != X2
& hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK0),sK2(X2))) ) ),
introduced(choice_axiom,[]) ).
fof(f5241,plain,
? [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),X0),X1))
& ! [X2] :
( X1 = X2
| ? [X3] :
( X2 != X3
& hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),X0),X3)) ) ) ),
inference(ennf_transformation,[],[f5229]) ).
fof(f5229,plain,
~ ! [X0,X1] :
( ! [X2] :
( ! [X3] :
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),X0),X3))
=> X2 = X3 )
=> X1 = X2 )
=> hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),X0),X1)) ),
inference(rectify,[],[f5228]) ).
fof(f5228,negated_conjecture,
~ ! [X105,X106] :
( ! [X332] :
( ! [X29] :
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),X105),X29))
=> X29 = X332 )
=> X106 = X332 )
=> hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),X105),X106)) ),
inference(negated_conjecture,[],[f5227]) ).
fof(f5227,conjecture,
! [X105,X106] :
( ! [X332] :
( ! [X29] :
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),X105),X29))
=> X29 = X332 )
=> X106 = X332 )
=> hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),X105),X106)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5420,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK0),sK1))
| sK1 = X0 ),
inference(duplicate_literal_removal,[],[f5417]) ).
fof(f5417,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK0),sK1))
| sK1 = X0
| sK1 = X0 ),
inference(superposition,[],[f5283,f5384]) ).
fof(f5384,plain,
! [X0] :
( sK1 = sK2(X0)
| sK1 = X0 ),
inference(equality_resolution,[],[f5374]) ).
fof(f5374,plain,
! [X0,X1] :
( sK2(X1) != X0
| sK1 = X0
| sK1 = X1 ),
inference(duplicate_literal_removal,[],[f5369]) ).
fof(f5369,plain,
! [X0,X1] :
( sK2(X1) != X0
| sK1 = X0
| sK1 = X0
| sK1 = X1 ),
inference(superposition,[],[f5284,f5344]) ).
fof(f5344,plain,
! [X0,X1] :
( sK2(X0) = sK2(X1)
| sK1 = X0
| sK1 = X1 ),
inference(resolution,[],[f5331,f5283]) ).
fof(f5331,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK0),X1))
| sK1 = X0
| sK2(X0) = X1 ),
inference(resolution,[],[f5283,f5304]) ).
fof(f5304,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X2),X1))
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X2),X0))
| X0 = X1 ),
inference(cnf_transformation,[],[f5249]) ).
fof(f5249,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X2),X0))
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X2),X1)) ),
inference(flattening,[],[f5248]) ).
fof(f5248,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X2),X0))
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X2),X1)) ),
inference(ennf_transformation,[],[f5234]) ).
fof(f5234,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X2),X1))
=> ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X2),X0))
=> X0 = X1 ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X3,X4,X5,X6] :
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(X6),X5),X4))
=> ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(X6),X5),X3))
=> X3 = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5284,plain,
! [X2] :
( sK2(X2) != X2
| sK1 = X2 ),
inference(cnf_transformation,[],[f5256]) ).
fof(f5283,plain,
! [X2] :
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),sK0),sK2(X2)))
| sK1 = X2 ),
inference(cnf_transformation,[],[f5256]) ).
fof(f5466,plain,
( sK1 != sK10
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(backward_demodulation,[],[f5313,f5426]) ).
fof(f5313,plain,
( sK9 != sK10
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(cnf_transformation,[],[f5280]) ).
fof(f5280,plain,
( ( c_Hoare__Mirabelle_Ostate__not__singleton
| ! [X0,X1] : X0 = X1 )
& ( sK9 != sK10
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f5278,f5279]) ).
fof(f5279,plain,
( ? [X2,X3] : X2 != X3
=> sK9 != sK10 ),
introduced(choice_axiom,[]) ).
fof(f5278,plain,
( ( c_Hoare__Mirabelle_Ostate__not__singleton
| ! [X0,X1] : X0 = X1 )
& ( ? [X2,X3] : X2 != X3
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ) ),
inference(rectify,[],[f5277]) ).
fof(f5277,plain,
( ( c_Hoare__Mirabelle_Ostate__not__singleton
| ! [X0,X1] : X0 = X1 )
& ( ? [X0,X1] : X0 != X1
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ) ),
inference(nnf_transformation,[],[f5239]) ).
fof(f5239,plain,
( c_Hoare__Mirabelle_Ostate__not__singleton
<=> ? [X0,X1] : X0 != X1 ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
( c_Hoare__Mirabelle_Ostate__not__singleton
<=> ? [X7,X8] : X7 != X8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWW348+1 : TPTP v8.2.0. Released v5.2.0.
% 0.00/0.09 % Command : run_vampire %s %d THM
% 0.10/0.30 % Computer : n025.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Wed Jun 19 08:38:09 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.16/0.31 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.31 Running first-order theorem proving
% 0.17/0.31 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.81 % (14778)Running in auto input_syntax mode. Trying TPTP
% 0.60/0.81 % (14783)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.60/0.81 % (14778)Running in auto input_syntax mode. Trying TPTP
% 0.60/0.81 % (14780)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)
% 0.60/0.81 % (14778)Running in auto input_syntax mode. Trying TPTP
% 0.60/0.81 % (14779)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.60/0.81 % (14778)Running in auto input_syntax mode. Trying TPTP
% 0.60/0.81 % (14781)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)
% 0.60/0.81 % (14778)Running in auto input_syntax mode. Trying TPTP
% 0.60/0.81 % (14785)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)
% 0.60/0.81 % (14778)Running in auto input_syntax mode. Trying TPTP
% 0.60/0.81 % (14784)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.60/0.81 % (14778)Running in auto input_syntax mode. Trying TPTP
% 0.60/0.81 % (14782)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.60/0.84 % (14783)First to succeed.
% 0.60/0.84 % (14783)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14778"
% 0.60/0.84 % (14778)Running in auto input_syntax mode. Trying TPTP
% 0.60/0.84 % (14783)Refutation found. Thanks to Tanya!
% 0.60/0.84 % SZS status Theorem for theBenchmark
% 0.60/0.84 % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.84 % (14783)------------------------------
% 0.60/0.84 % (14783)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.60/0.84 % (14783)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.60/0.84 % (14783)Termination reason: Refutation
% 0.60/0.84
% 0.60/0.84 % (14783)Memory used [KB]: 6068
% 0.60/0.84 % (14783)Time elapsed: 0.034 s
% 0.60/0.84 % (14783)Instructions burned: 51 (million)
% 0.60/0.84 % (14783)------------------------------
% 0.60/0.84 % (14783)------------------------------
% 0.60/0.84 % (14778)Success in time 0.111 s
%------------------------------------------------------------------------------