TSTP Solution File: SYN940+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYN940+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n019.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 : Wed May 1 04:45:03 EDT 2024
% Result : Theorem 0.57s 0.75s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 3 unt; 0 def)
% Number of atoms : 114 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 134 ( 55 ~; 45 |; 21 &)
% ( 6 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 7 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 46 ( 36 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f43,plain,
$false,
inference(avatar_sat_refutation,[],[f22,f26,f33,f36,f38,f40,f42]) ).
fof(f42,plain,
~ spl2_6,
inference(avatar_contradiction_clause,[],[f41]) ).
fof(f41,plain,
( $false
| ~ spl2_6 ),
inference(resolution,[],[f32,f7]) ).
fof(f7,plain,
! [X4] : q(f(X4)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,plain,
( ! [X2,X3] :
( ~ q(X2)
| ( ( ( ( ~ r(sK1)
| ~ r(sK0) )
& r(X3) )
| ~ p(X2) )
& p(f(X3)) ) )
& ! [X4] : q(f(X4)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f4,f5]) ).
fof(f5,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ~ q(X2)
| ( ( ( ( ~ r(X1)
| ~ r(X0) )
& r(X3) )
| ~ p(X2) )
& p(f(X3)) ) )
& ! [X4] : q(f(X4)) )
=> ( ! [X3,X2] :
( ~ q(X2)
| ( ( ( ( ~ r(sK1)
| ~ r(sK0) )
& r(X3) )
| ~ p(X2) )
& p(f(X3)) ) )
& ! [X4] : q(f(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f4,plain,
? [X0,X1] :
( ! [X2,X3] :
( ~ q(X2)
| ( ( ( ( ~ r(X1)
| ~ r(X0) )
& r(X3) )
| ~ p(X2) )
& p(f(X3)) ) )
& ! [X4] : q(f(X4)) ),
inference(rectify,[],[f3]) ).
fof(f3,plain,
? [X0,X1] :
( ! [X3,X4] :
( ~ q(X3)
| ( ( ( ( ~ r(X1)
| ~ r(X0) )
& r(X4) )
| ~ p(X3) )
& p(f(X4)) ) )
& ! [X2] : q(f(X2)) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
( ! [X2] : q(f(X2))
=> ? [X3,X4] :
( q(X3)
& ( p(f(X4))
=> ( ( r(X4)
=> ( r(X1)
& r(X0) ) )
& p(X3) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1] :
( ! [X2] : q(f(X2))
=> ? [X3,X4] :
( q(X3)
& ( p(f(X4))
=> ( ( r(X4)
=> ( r(X1)
& r(X0) ) )
& p(X3) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.n0FYZWrF8s/Vampire---4.8_15515',prove_this) ).
fof(f32,plain,
( ! [X2] : ~ q(X2)
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f31,plain,
( spl2_6
<=> ! [X2] : ~ q(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f40,plain,
( spl2_2
| ~ spl2_4 ),
inference(avatar_contradiction_clause,[],[f39]) ).
fof(f39,plain,
( $false
| spl2_2
| ~ spl2_4 ),
inference(subsumption_resolution,[],[f18,f25]) ).
fof(f25,plain,
( ! [X3] : r(X3)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f24,plain,
( spl2_4
<=> ! [X3] : r(X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f18,plain,
( ~ r(sK1)
| spl2_2 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f16,plain,
( spl2_2
<=> r(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f38,plain,
( spl2_1
| ~ spl2_4 ),
inference(avatar_contradiction_clause,[],[f37]) ).
fof(f37,plain,
( $false
| spl2_1
| ~ spl2_4 ),
inference(subsumption_resolution,[],[f14,f25]) ).
fof(f14,plain,
( ~ r(sK0)
| spl2_1 ),
inference(avatar_component_clause,[],[f12]) ).
fof(f12,plain,
( spl2_1
<=> r(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f36,plain,
( ~ spl2_3
| ~ spl2_5 ),
inference(avatar_contradiction_clause,[],[f35]) ).
fof(f35,plain,
( $false
| ~ spl2_3
| ~ spl2_5 ),
inference(subsumption_resolution,[],[f34,f7]) ).
fof(f34,plain,
( ! [X0] : ~ q(f(X0))
| ~ spl2_3
| ~ spl2_5 ),
inference(resolution,[],[f21,f29]) ).
fof(f29,plain,
( ! [X3] : p(f(X3))
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f28,plain,
( spl2_5
<=> ! [X3] : p(f(X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f21,plain,
( ! [X2] :
( ~ p(X2)
| ~ q(X2) )
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f20,plain,
( spl2_3
<=> ! [X2] :
( ~ q(X2)
| ~ p(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f33,plain,
( spl2_5
| spl2_6 ),
inference(avatar_split_clause,[],[f8,f31,f28]) ).
fof(f8,plain,
! [X2,X3] :
( ~ q(X2)
| p(f(X3)) ),
inference(cnf_transformation,[],[f6]) ).
fof(f26,plain,
( spl2_4
| spl2_3 ),
inference(avatar_split_clause,[],[f9,f20,f24]) ).
fof(f9,plain,
! [X2,X3] :
( ~ q(X2)
| r(X3)
| ~ p(X2) ),
inference(cnf_transformation,[],[f6]) ).
fof(f22,plain,
( ~ spl2_1
| ~ spl2_2
| spl2_3 ),
inference(avatar_split_clause,[],[f10,f20,f16,f12]) ).
fof(f10,plain,
! [X2] :
( ~ q(X2)
| ~ r(sK1)
| ~ r(sK0)
| ~ p(X2) ),
inference(cnf_transformation,[],[f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN940+1 : TPTP v8.1.2. Released v3.1.0.
% 0.14/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 17:27:29 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.n0FYZWrF8s/Vampire---4.8_15515
% 0.57/0.75 % (15732)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.75 % (15730)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.75 % (15732)First to succeed.
% 0.57/0.75 % (15724)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.75 % (15727)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75 % (15728)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.75 % (15725)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.57/0.75 % (15729)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.75 % (15730)Also succeeded, but the first one will report.
% 0.57/0.75 % (15731)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.57/0.75 % (15732)Refutation found. Thanks to Tanya!
% 0.57/0.75 % SZS status Theorem for Vampire---4
% 0.57/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75 % (15732)------------------------------
% 0.57/0.75 % (15732)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (15732)Termination reason: Refutation
% 0.57/0.75
% 0.57/0.75 % (15732)Memory used [KB]: 978
% 0.57/0.75 % (15732)Time elapsed: 0.002 s
% 0.57/0.75 % (15732)Instructions burned: 3 (million)
% 0.57/0.75 % (15732)------------------------------
% 0.57/0.75 % (15732)------------------------------
% 0.57/0.75 % (15679)Success in time 0.387 s
% 0.57/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------