TSTP Solution File: SYN364+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYN364+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n009.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 : Sun May 5 11:57:04 EDT 2024
% Result : Theorem 0.52s 0.81s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 2 unt; 0 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 115 ( 45 ~; 35 |; 20 &)
% ( 6 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 62 ( 49 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f61,plain,
$false,
inference(avatar_sat_refutation,[],[f20,f24,f32,f36,f43,f60]) ).
fof(f60,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f59]) ).
fof(f59,plain,
( $false
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f55,f19]) ).
fof(f19,plain,
( ! [X3,X4] : ~ big_p(X3,X4)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f18,plain,
( spl3_2
<=> ! [X4,X3] : ~ big_p(X3,X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f55,plain,
( ! [X0] : big_p(X0,sK1(X0))
| ~ spl3_2 ),
inference(resolution,[],[f51,f7]) ).
fof(f7,plain,
! [X1] :
( big_q(f(X1,sK1(X1)))
| big_p(X1,sK1(X1)) ),
inference(cnf_transformation,[],[f5]) ).
fof(f5,plain,
( ? [X6] :
! [X7] :
( ~ big_p(X6,X6)
| ~ big_p(g(X6),X7) )
& ! [X0] :
( ~ big_m(g(X0))
| ~ big_q(X0) )
& ! [X1] :
? [X2] :
( ( big_q(f(X1,X2))
& big_m(X1) )
| big_p(X1,X2) )
& ! [X3] :
( ! [X5] : big_p(X5,X5)
| ! [X4] : ~ big_p(X3,X4) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ? [X6] :
! [X7] :
( ~ big_p(X6,X6)
| ~ big_p(g(X6),X7) )
& ! [X0] :
( ~ big_m(g(X0))
| ~ big_q(X0) )
& ! [X1] :
? [X2] :
( ( big_q(f(X1,X2))
& big_m(X1) )
| big_p(X1,X2) )
& ! [X3] :
( ! [X5] : big_p(X5,X5)
| ! [X4] : ~ big_p(X3,X4) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ( ! [X0] :
( big_q(X0)
=> ~ big_m(g(X0)) )
& ! [X1] :
? [X2] :
( ( big_q(f(X1,X2))
& big_m(X1) )
| big_p(X1,X2) )
& ! [X3] :
( ? [X4] : big_p(X3,X4)
=> ! [X5] : big_p(X5,X5) ) )
=> ! [X6] :
? [X7] :
( big_p(X6,X6)
& big_p(g(X6),X7) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ! [X5] :
( big_q(X5)
=> ~ big_m(g(X5)) )
& ! [X3] :
? [X4] :
( ( big_q(f(X3,X4))
& big_m(X3) )
| big_p(X3,X4) )
& ! [X0] :
( ? [X1] : big_p(X0,X1)
=> ! [X2] : big_p(X2,X2) ) )
=> ! [X3] :
? [X4] :
( big_p(X3,X3)
& big_p(g(X3),X4) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ! [X5] :
( big_q(X5)
=> ~ big_m(g(X5)) )
& ! [X3] :
? [X4] :
( ( big_q(f(X3,X4))
& big_m(X3) )
| big_p(X3,X4) )
& ! [X0] :
( ? [X1] : big_p(X0,X1)
=> ! [X2] : big_p(X2,X2) ) )
=> ! [X3] :
? [X4] :
( big_p(X3,X3)
& big_p(g(X3),X4) ) ),
file('/export/starexec/sandbox/tmp/tmp.2LXVOp1ZEA/Vampire---4.8_1415',x2115) ).
fof(f51,plain,
( ! [X0] : ~ big_q(X0)
| ~ spl3_2 ),
inference(unit_resulting_resolution,[],[f45,f9]) ).
fof(f9,plain,
! [X0] :
( ~ big_m(g(X0))
| ~ big_q(X0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f45,plain,
( ! [X0] : big_m(X0)
| ~ spl3_2 ),
inference(unit_resulting_resolution,[],[f19,f6]) ).
fof(f6,plain,
! [X1] :
( big_p(X1,sK1(X1))
| big_m(X1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f43,plain,
( ~ spl3_3
| ~ spl3_5 ),
inference(avatar_contradiction_clause,[],[f37]) ).
fof(f37,plain,
( $false
| ~ spl3_3
| ~ spl3_5 ),
inference(unit_resulting_resolution,[],[f23,f31]) ).
fof(f31,plain,
( ! [X7] : ~ big_p(g(sK0),X7)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f30,plain,
( spl3_5
<=> ! [X7] : ~ big_p(g(sK0),X7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f23,plain,
( ! [X5] : big_p(X5,X5)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f22,plain,
( spl3_3
<=> ! [X5] : big_p(X5,X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f36,plain,
( ~ spl3_3
| spl3_4 ),
inference(avatar_contradiction_clause,[],[f33]) ).
fof(f33,plain,
( $false
| ~ spl3_3
| spl3_4 ),
inference(unit_resulting_resolution,[],[f28,f23]) ).
fof(f28,plain,
( ~ big_p(sK0,sK0)
| spl3_4 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f26,plain,
( spl3_4
<=> big_p(sK0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f32,plain,
( ~ spl3_4
| spl3_5 ),
inference(avatar_split_clause,[],[f8,f30,f26]) ).
fof(f8,plain,
! [X7] :
( ~ big_p(g(sK0),X7)
| ~ big_p(sK0,sK0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f24,plain,
( spl3_1
| spl3_3 ),
inference(avatar_split_clause,[],[f11,f22,f14]) ).
fof(f14,plain,
( spl3_1
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f11,plain,
! [X5] :
( big_p(X5,X5)
| sP2 ),
inference(cnf_transformation,[],[f11_D]) ).
fof(f11_D,plain,
( ! [X5] : big_p(X5,X5)
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f20,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f12,f18,f14]) ).
fof(f12,plain,
! [X3,X4] :
( ~ big_p(X3,X4)
| ~ sP2 ),
inference(general_splitting,[],[f10,f11_D]) ).
fof(f10,plain,
! [X3,X4,X5] :
( ~ big_p(X3,X4)
| big_p(X5,X5) ),
inference(cnf_transformation,[],[f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.21 % Problem : SYN364+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.22 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.42 % Computer : n009.cluster.edu
% 0.13/0.42 % Model : x86_64 x86_64
% 0.13/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.42 % Memory : 8042.1875MB
% 0.13/0.42 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.42 % CPULimit : 300
% 0.13/0.42 % WCLimit : 300
% 0.13/0.42 % DateTime : Fri May 3 17:52:53 EDT 2024
% 0.13/0.42 % CPUTime :
% 0.13/0.42 This is a FOF_THM_RFO_NEQ problem
% 0.13/0.42 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.2LXVOp1ZEA/Vampire---4.8_1415
% 0.52/0.80 % (1531)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)
% 0.52/0.80 % (1532)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)
% 0.52/0.80 % (1527)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.52/0.80 % (1525)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)
% 0.52/0.80 % (1526)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)
% 0.52/0.80 % (1528)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)
% 0.52/0.80 % (1530)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)
% 0.52/0.80 % (1531)First to succeed.
% 0.52/0.81 % (1532)Also succeeded, but the first one will report.
% 0.52/0.81 % (1531)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1524"
% 0.52/0.81 % (1531)Refutation found. Thanks to Tanya!
% 0.52/0.81 % SZS status Theorem for Vampire---4
% 0.52/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.52/0.81 % (1531)------------------------------
% 0.52/0.81 % (1531)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.81 % (1531)Termination reason: Refutation
% 0.52/0.81
% 0.52/0.81 % (1531)Memory used [KB]: 976
% 0.52/0.81 % (1531)Time elapsed: 0.002 s
% 0.52/0.81 % (1531)Instructions burned: 3 (million)
% 0.52/0.81 % (1524)Success in time 0.376 s
% 0.52/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------