TSTP Solution File: SWW302+1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW302+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n017.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 18:31:57 EDT 2024
% Result : Theorem 0.55s 0.79s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 5 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 52 ( 20 ~; 9 |; 10 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 35 ( 27 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5257,plain,
$false,
inference(subsumption_resolution,[],[f5256,f5251]) ).
fof(f5251,plain,
v_P(sK0,sK1),
inference(cnf_transformation,[],[f5250]) ).
fof(f5250,plain,
( ~ v_Q(sK0,sK2)
& ! [X3] :
( v_Q_H(X3,sK2)
| ~ v_P(X3,sK1) )
& v_P(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f5246,f5249,f5248]) ).
fof(f5248,plain,
( ? [X0,X1] :
( ? [X2] :
( ~ v_Q(X0,X2)
& ! [X3] :
( v_Q_H(X3,X2)
| ~ v_P(X3,X1) ) )
& v_P(X0,X1) )
=> ( ? [X2] :
( ~ v_Q(sK0,X2)
& ! [X3] :
( v_Q_H(X3,X2)
| ~ v_P(X3,sK1) ) )
& v_P(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f5249,plain,
( ? [X2] :
( ~ v_Q(sK0,X2)
& ! [X3] :
( v_Q_H(X3,X2)
| ~ v_P(X3,sK1) ) )
=> ( ~ v_Q(sK0,sK2)
& ! [X3] :
( v_Q_H(X3,sK2)
| ~ v_P(X3,sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f5246,plain,
? [X0,X1] :
( ? [X2] :
( ~ v_Q(X0,X2)
& ! [X3] :
( v_Q_H(X3,X2)
| ~ v_P(X3,X1) ) )
& v_P(X0,X1) ),
inference(ennf_transformation,[],[f5244]) ).
fof(f5244,plain,
~ ! [X0,X1] :
( v_P(X0,X1)
=> ! [X2] :
( ! [X3] :
( v_P(X3,X1)
=> v_Q_H(X3,X2) )
=> v_Q(X0,X2) ) ),
inference(rectify,[],[f5243]) ).
fof(f5243,negated_conjecture,
~ ! [X281,X282] :
( v_P(X281,X282)
=> ! [X283] :
( ! [X284] :
( v_P(X284,X282)
=> v_Q_H(X284,X283) )
=> v_Q(X281,X283) ) ),
inference(negated_conjecture,[],[f5242]) ).
fof(f5242,conjecture,
! [X281,X282] :
( v_P(X281,X282)
=> ! [X283] :
( ! [X284] :
( v_P(X284,X282)
=> v_Q_H(X284,X283) )
=> v_Q(X281,X283) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5256,plain,
~ v_P(sK0,sK1),
inference(resolution,[],[f5255,f5252]) ).
fof(f5252,plain,
! [X3] :
( v_Q_H(X3,sK2)
| ~ v_P(X3,sK1) ),
inference(cnf_transformation,[],[f5250]) ).
fof(f5255,plain,
~ v_Q_H(sK0,sK2),
inference(resolution,[],[f5254,f5253]) ).
fof(f5253,plain,
~ v_Q(sK0,sK2),
inference(cnf_transformation,[],[f5250]) ).
fof(f5254,plain,
! [X0,X1] :
( v_Q(X0,X1)
| ~ v_Q_H(X0,X1) ),
inference(cnf_transformation,[],[f5247]) ).
fof(f5247,plain,
! [X0,X1] :
( v_Q(X0,X1)
| ~ v_Q_H(X0,X1) ),
inference(ennf_transformation,[],[f5245]) ).
fof(f5245,plain,
! [X0,X1] :
( v_Q_H(X0,X1)
=> v_Q(X0,X1) ),
inference(rectify,[],[f5241]) ).
fof(f5241,axiom,
! [X281,X282] :
( v_Q_H(X281,X282)
=> v_Q(X281,X282) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW302+1 : TPTP v8.2.0. Released v5.2.0.
% 0.06/0.12 % Command : run_vampire %s %d THM
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Jun 19 04:55:39 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.35 Running first-order theorem proving
% 0.11/0.35 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.76 % (13326)Running in auto input_syntax mode. Trying TPTP
% 0.54/0.76 % (13332)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.54/0.77 % (13326)Running in auto input_syntax mode. Trying TPTP
% 0.54/0.77 % (13327)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.54/0.77 % (13326)Running in auto input_syntax mode. Trying TPTP
% 0.54/0.77 % (13329)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)
% 0.54/0.77 % (13326)Running in auto input_syntax mode. Trying TPTP
% 0.54/0.77 % (13330)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.54/0.77 % (13326)Running in auto input_syntax mode. Trying TPTP
% 0.54/0.77 % (13328)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)
% 0.54/0.77 % (13326)Running in auto input_syntax mode. Trying TPTP
% 0.54/0.77 % (13331)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.54/0.78 % (13326)Running in auto input_syntax mode. Trying TPTP
% 0.54/0.78 % (13333)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)
% 0.55/0.78 % (13332)First to succeed.
% 0.55/0.78 % (13332)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13326"
% 0.55/0.79 % (13326)Running in auto input_syntax mode. Trying TPTP
% 0.55/0.79 % (13332)Refutation found. Thanks to Tanya!
% 0.55/0.79 % SZS status Theorem for theBenchmark
% 0.55/0.79 % SZS output start Proof for theBenchmark
% See solution above
% 0.55/0.79 % (13332)------------------------------
% 0.55/0.79 % (13332)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.55/0.79 % (13332)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.55/0.79 % (13332)Termination reason: Refutation
% 0.55/0.79
% 0.55/0.79 % (13332)Memory used [KB]: 5907
% 0.55/0.79 % (13332)Time elapsed: 0.019 s
% 0.55/0.79 % (13332)Instructions burned: 38 (million)
% 0.55/0.79 % (13332)------------------------------
% 0.55/0.79 % (13332)------------------------------
% 0.55/0.79 % (13326)Success in time 0.096 s
%------------------------------------------------------------------------------