TSTP Solution File: NUM835+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : NUM835+1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n021.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 13:18:07 EDT 2024
% Result : Theorem 0.20s 0.43s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 12 unt; 0 def)
% Number of atoms : 74 ( 60 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 78 ( 30 ~; 30 |; 14 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 58 ( 40 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f312,plain,
$false,
inference(subsumption_resolution,[],[f296,f270]) ).
fof(f270,plain,
! [X0] : vd165 != vplus(vd151,X0),
inference(superposition,[],[f222,f221]) ).
fof(f221,plain,
! [X1] : sF4(X1) = vplus(vd151,X1),
introduced(function_definition,[new_symbols(definition,[sF4])]) ).
fof(f222,plain,
! [X1] : vd165 != sF4(X1),
inference(definition_folding,[],[f170,f221]) ).
fof(f170,plain,
! [X1] : vd165 != vplus(vd151,X1),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
( ! [X0] : vd151 != vplus(vd165,X0)
& vd165 != vd151
& ! [X1] : vd165 != vplus(vd151,X1) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
~ ( ? [X0] : vd151 = vplus(vd165,X0)
| vd165 = vd151
| ? [X1] : vd165 = vplus(vd151,X1) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ? [X1] : vd151 = vplus(vd165,X1)
| vd165 = vd151
| ? [X0] : vd165 = vplus(vd151,X0) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ? [X1] : vd151 = vplus(vd165,X1)
| vd165 = vd151
| ? [X0] : vd165 = vplus(vd151,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f296,plain,
vd165 = vplus(vd151,sK1(vd165,vd151)),
inference(unit_resulting_resolution,[],[f218,f171,f257,f176]) ).
fof(f176,plain,
! [X0,X1] :
( ~ m(X0)
| X0 = X1
| vplus(X0,sK2(X0,X1)) = X1
| vplus(X1,sK1(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( ( X0 = X1
| vplus(X1,sK1(X0,X1)) = X0
| vplus(X0,sK2(X0,X1)) = X1
| ~ m(X0) )
& ( m(X0)
| ( X0 != X1
& ! [X4] : vplus(X1,X4) != X0
& ! [X5] : vplus(X0,X5) != X1 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f123,f125,f124]) ).
fof(f124,plain,
! [X0,X1] :
( ? [X2] : vplus(X1,X2) = X0
=> vplus(X1,sK1(X0,X1)) = X0 ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
! [X0,X1] :
( ? [X3] : vplus(X0,X3) = X1
=> vplus(X0,sK2(X0,X1)) = X1 ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X2] : vplus(X1,X2) = X0
| ? [X3] : vplus(X0,X3) = X1
| ~ m(X0) )
& ( m(X0)
| ( X0 != X1
& ! [X4] : vplus(X1,X4) != X0
& ! [X5] : vplus(X0,X5) != X1 ) ) ),
inference(rectify,[],[f122]) ).
fof(f122,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X3] : vplus(X1,X3) = X0
| ? [X2] : vplus(X0,X2) = X1
| ~ m(X0) )
& ( m(X0)
| ( X0 != X1
& ! [X3] : vplus(X1,X3) != X0
& ! [X2] : vplus(X0,X2) != X1 ) ) ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X3] : vplus(X1,X3) = X0
| ? [X2] : vplus(X0,X2) = X1
| ~ m(X0) )
& ( m(X0)
| ( X0 != X1
& ! [X3] : vplus(X1,X3) != X0
& ! [X2] : vplus(X0,X2) != X1 ) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X3] : vplus(X1,X3) = X0
| ? [X2] : vplus(X0,X2) = X1 )
<=> m(X0) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X5,X4] :
( m(X5)
<=> ( ? [X6] : vplus(X5,X6) = X4
| X4 = X5
| ? [X7] : vplus(X4,X7) = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f257,plain,
! [X0] : vd151 != vplus(vd165,X0),
inference(superposition,[],[f220,f219]) ).
fof(f219,plain,
! [X0] : sF3(X0) = vplus(vd165,X0),
introduced(function_definition,[new_symbols(definition,[sF3])]) ).
fof(f220,plain,
! [X0] : vd151 != sF3(X0),
inference(definition_folding,[],[f172,f219]) ).
fof(f172,plain,
! [X0] : vd151 != vplus(vd165,X0),
inference(cnf_transformation,[],[f80]) ).
fof(f171,plain,
vd165 != vd151,
inference(cnf_transformation,[],[f80]) ).
fof(f218,plain,
! [X0] : m(X0),
inference(equality_resolution,[],[f173]) ).
fof(f173,plain,
! [X0,X1,X5] :
( m(X0)
| vplus(X0,X5) != X1 ),
inference(cnf_transformation,[],[f126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM835+1 : TPTP v8.2.0. Released v4.1.0.
% 0.03/0.12 % Command : run_vampire %s %d THM
% 0.12/0.34 % Computer : n021.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 : Sat Jun 22 22:59:39 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.20/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.20/0.36 Running first-order theorem proving
% 0.20/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.42 % (24061)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (24068)lrs+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sp=reverse_arity:sos=on:spb=goal_then_units:i=128:ss=axioms:sgt=50:bd=off:sd=3_0 on theBenchmark for (2999ds/128Mi)
% 0.20/0.42 % (24061)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (24065)lrs+1011_1:1_sil=2000:i=103:ep=RS:nm=32:ss=axioms:sos=on_0 on theBenchmark for (2999ds/103Mi)
% 0.20/0.42 % (24061)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (24066)lrs+1011_1:1_sil=32000:rnwc=on:nwc=10.0:lwlo=on:i=121:bd=off:av=off_0 on theBenchmark for (2999ds/121Mi)
% 0.20/0.43 % (24061)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (24064)lrs+11_1:16_to=lpo:drc=off:bsd=on:sp=frequency:i=172350:bs=on:av=off:fsd=on:sil=256000:fdi=50_0 on theBenchmark for (2999ds/172350Mi)
% 0.20/0.43 % (24061)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (24067)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=113:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2999ds/113Mi)
% 0.20/0.43 % (24061)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (24063)lrs+1002_74:59_drc=off:tgt=full:sos=all:cond=fast:i=124987:kws=inv_frequency:afp=300:afq=2.0744697298148953:rawr=on:urr=full:sil=128000:si=on:rtra=on:random_seed=3250543_0 on theBenchmark for (2999ds/124987Mi)
% 0.20/0.43 % (24061)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (24062)lrs+2_5:39_bsr=unit_only:to=lpo:drc=off:sil=128000:plsq=on:plsqr=2,19:sp=frequency:lcm=reverse:fd=preordered:s2a=on:i=38749:s2at=-1.0:fsr=off:uhcvi=on:rawr=on:aer=off:lwlo=on:add=off:bce=on:acc=model:afr=on_0 on theBenchmark for (2999ds/38749Mi)
% 0.20/0.43 % (24067)Refutation not found, incomplete strategy% (24067)------------------------------
% 0.20/0.43 % (24067)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.43 % (24067)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.43 % (24067)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.43
% 0.20/0.43 % (24067)Memory used [KB]: 1171
% 0.20/0.43 % (24067)Time elapsed: 0.005 s
% 0.20/0.43 % (24067)Instructions burned: 5 (million)
% 0.20/0.43 % (24067)------------------------------
% 0.20/0.43 % (24067)------------------------------
% 0.20/0.43 % (24063)First to succeed.
% 0.20/0.43 % (24063)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24061"
% 0.20/0.43 % (24061)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (24063)Refutation found. Thanks to Tanya!
% 0.20/0.43 % SZS status Theorem for theBenchmark
% 0.20/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.43 % (24063)------------------------------
% 0.20/0.43 % (24063)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.43 % (24063)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.43 % (24063)Termination reason: Refutation
% 0.20/0.43
% 0.20/0.43 % (24063)Memory used [KB]: 1213
% 0.20/0.43 % (24063)Time elapsed: 0.010 s
% 0.20/0.43 % (24063)Instructions burned: 11 (million)
% 0.20/0.43 % (24063)------------------------------
% 0.20/0.43 % (24063)------------------------------
% 0.20/0.43 % (24061)Success in time 0.07 s
%------------------------------------------------------------------------------