TSTP Solution File: CAT011-3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : CAT011-3 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n013.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 May 20 19:00:33 EDT 2024
% Result : Unsatisfiable 0.58s 0.73s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 37 ( 8 unt; 0 def)
% Number of atoms : 95 ( 12 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 123 ( 65 ~; 53 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f114,plain,
$false,
inference(avatar_sat_refutation,[],[f64,f75,f92,f94,f101,f108]) ).
fof(f108,plain,
( ~ spl0_6
| ~ spl0_2
| spl0_7 ),
inference(avatar_split_clause,[],[f107,f98,f58,f89]) ).
fof(f89,plain,
( spl0_6
<=> there_exists(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f58,plain,
( spl0_2
<=> there_exists(domain(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f98,plain,
( spl0_7
<=> there_exists(compose(codomain(domain(a)),domain(domain(a)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f107,plain,
( ~ there_exists(domain(a))
| ~ there_exists(a)
| spl0_7 ),
inference(forward_demodulation,[],[f105,f10]) ).
fof(f10,axiom,
! [X0] : compose(X0,domain(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_domain) ).
fof(f105,plain,
( ~ there_exists(a)
| ~ there_exists(compose(domain(a),domain(domain(a))))
| spl0_7 ),
inference(superposition,[],[f102,f10]) ).
fof(f102,plain,
( ! [X0] :
( ~ there_exists(compose(X0,domain(a)))
| ~ there_exists(compose(domain(X0),domain(domain(a)))) )
| spl0_7 ),
inference(superposition,[],[f100,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( domain(X0) = codomain(X1)
| ~ there_exists(compose(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_codomain_composition1) ).
fof(f100,plain,
( ~ there_exists(compose(codomain(domain(a)),domain(domain(a))))
| spl0_7 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f101,plain,
( ~ spl0_7
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f96,f82,f58,f98]) ).
fof(f82,plain,
( spl0_4
<=> ! [X2] :
( ~ there_exists(compose(X2,domain(domain(a))))
| ~ there_exists(compose(X2,domain(a))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f96,plain,
( ~ there_exists(domain(a))
| ~ there_exists(compose(codomain(domain(a)),domain(domain(a))))
| ~ spl0_4 ),
inference(superposition,[],[f83,f11]) ).
fof(f11,axiom,
! [X0] : compose(codomain(X0),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_codomain) ).
fof(f83,plain,
( ! [X2] :
( ~ there_exists(compose(X2,domain(a)))
| ~ there_exists(compose(X2,domain(domain(a)))) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f94,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f93]) ).
fof(f93,plain,
( $false
| spl0_6 ),
inference(resolution,[],[f91,f24]) ).
fof(f24,plain,
there_exists(a),
inference(resolution,[],[f4,f18]) ).
fof(f18,axiom,
there_exists(domain(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assume_domain_exists) ).
fof(f4,axiom,
! [X0] :
( ~ there_exists(domain(X0))
| there_exists(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_has_elements) ).
fof(f91,plain,
( ~ there_exists(a)
| spl0_6 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f92,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f79,f73,f89,f82]) ).
fof(f73,plain,
( spl0_3
<=> ! [X2,X0,X1] :
( domain(X0) != domain(a)
| ~ there_exists(compose(X0,X2))
| ~ there_exists(compose(X1,domain(domain(a))))
| ~ there_exists(compose(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f79,plain,
( ! [X0] :
( ~ there_exists(a)
| ~ there_exists(compose(X0,domain(domain(a))))
| ~ there_exists(compose(X0,domain(a))) )
| ~ spl0_3 ),
inference(equality_resolution,[],[f76]) ).
fof(f76,plain,
( ! [X0,X1] :
( domain(X0) != domain(a)
| ~ there_exists(X0)
| ~ there_exists(compose(X1,domain(domain(a))))
| ~ there_exists(compose(X1,domain(X0))) )
| ~ spl0_3 ),
inference(superposition,[],[f74,f10]) ).
fof(f74,plain,
( ! [X2,X0,X1] :
( ~ there_exists(compose(X0,X2))
| domain(X0) != domain(a)
| ~ there_exists(compose(X1,domain(domain(a))))
| ~ there_exists(compose(X1,X2)) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f75,plain,
( spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f71,f58,f73]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ there_exists(domain(a))
| domain(X0) != domain(a)
| ~ there_exists(compose(X1,domain(domain(a))))
| ~ there_exists(compose(X1,X2))
| ~ there_exists(compose(X0,X2)) ),
inference(superposition,[],[f69,f10]) ).
fof(f69,plain,
! [X2,X3,X0,X1] :
( ~ there_exists(compose(domain(a),X2))
| domain(a) != domain(X1)
| ~ there_exists(compose(X3,X2))
| ~ there_exists(compose(X3,X0))
| ~ there_exists(compose(X1,X0)) ),
inference(superposition,[],[f50,f7]) ).
fof(f50,plain,
! [X2,X0,X1] :
( codomain(X1) != domain(a)
| ~ there_exists(compose(domain(a),X2))
| ~ there_exists(compose(X0,X2))
| ~ there_exists(compose(X0,X1)) ),
inference(superposition,[],[f49,f7]) ).
fof(f49,plain,
! [X0,X1] :
( domain(a) != domain(X1)
| ~ there_exists(compose(domain(a),X0))
| ~ there_exists(compose(X1,X0)) ),
inference(superposition,[],[f41,f7]) ).
fof(f41,plain,
! [X0] :
( codomain(X0) != domain(a)
| ~ there_exists(compose(domain(a),X0)) ),
inference(superposition,[],[f19,f7]) ).
fof(f19,axiom,
domain(a) != domain(domain(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_is_idempotent) ).
fof(f64,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f62]) ).
fof(f62,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f60,f18]) ).
fof(f60,plain,
( ~ there_exists(domain(a))
| spl0_2 ),
inference(avatar_component_clause,[],[f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.15 % Problem : CAT011-3 : TPTP v8.2.0. Released v1.0.0.
% 0.14/0.16 % 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
% 0.16/0.39 % Computer : n013.cluster.edu
% 0.16/0.39 % Model : x86_64 x86_64
% 0.16/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.39 % Memory : 8042.1875MB
% 0.16/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.39 % CPULimit : 300
% 0.16/0.39 % WCLimit : 300
% 0.16/0.39 % DateTime : Sat May 18 11:29:38 EDT 2024
% 0.16/0.39 % CPUTime :
% 0.16/0.39 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.39 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/benchmark/theBenchmark.p
% 0.51/0.73 % (15283)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 theBenchmark for (2996ds/51Mi)
% 0.51/0.73 % (15286)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 theBenchmark for (2996ds/34Mi)
% 0.51/0.73 % (15282)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 theBenchmark for (2996ds/34Mi)
% 0.51/0.73 % (15287)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.51/0.73 % (15288)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 theBenchmark for (2996ds/83Mi)
% 0.51/0.73 % (15286)Refutation not found, incomplete strategy% (15286)------------------------------
% 0.51/0.73 % (15286)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.73 % (15286)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.73
% 0.51/0.73 % (15286)Memory used [KB]: 984
% 0.51/0.73 % (15286)Time elapsed: 0.001 s
% 0.51/0.73 % (15286)Instructions burned: 2 (million)
% 0.51/0.73 % (15289)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.51/0.73 % (15286)------------------------------
% 0.51/0.73 % (15286)------------------------------
% 0.51/0.73 % (15287)Refutation not found, incomplete strategy% (15287)------------------------------
% 0.51/0.73 % (15287)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.73 % (15287)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.73
% 0.51/0.73 % (15287)Memory used [KB]: 980
% 0.51/0.73 % (15287)Time elapsed: 0.002 s
% 0.51/0.73 % (15287)Instructions burned: 2 (million)
% 0.51/0.73 % (15289)Refutation not found, incomplete strategy% (15289)------------------------------
% 0.51/0.73 % (15289)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.73 % (15289)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.73
% 0.51/0.73 % (15289)Memory used [KB]: 981
% 0.51/0.73 % (15289)Time elapsed: 0.002 s
% 0.51/0.73 % (15289)Instructions burned: 2 (million)
% 0.51/0.73 % (15287)------------------------------
% 0.51/0.73 % (15287)------------------------------
% 0.51/0.73 % (15288)Refutation not found, incomplete strategy% (15288)------------------------------
% 0.51/0.73 % (15288)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.73 % (15288)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.73
% 0.51/0.73 % (15288)Memory used [KB]: 982
% 0.51/0.73 % (15288)Time elapsed: 0.002 s
% 0.51/0.73 % (15288)Instructions burned: 2 (million)
% 0.51/0.73 % (15289)------------------------------
% 0.51/0.73 % (15289)------------------------------
% 0.51/0.73 % (15282)Refutation not found, incomplete strategy% (15282)------------------------------
% 0.51/0.73 % (15282)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.73 % (15288)------------------------------
% 0.51/0.73 % (15288)------------------------------
% 0.51/0.73 % (15282)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.73
% 0.51/0.73 % (15282)Memory used [KB]: 986
% 0.51/0.73 % (15282)Time elapsed: 0.003 s
% 0.51/0.73 % (15282)Instructions burned: 3 (million)
% 0.51/0.73 % (15282)------------------------------
% 0.51/0.73 % (15282)------------------------------
% 0.51/0.73 % (15283)First to succeed.
% 0.58/0.73 % (15283)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15281"
% 0.58/0.73 % (15285)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.58/0.73 % (15283)Refutation found. Thanks to Tanya!
% 0.58/0.73 % SZS status Unsatisfiable for theBenchmark
% 0.58/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 0.58/0.73 % (15283)------------------------------
% 0.58/0.73 % (15283)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.73 % (15283)Termination reason: Refutation
% 0.58/0.73
% 0.58/0.73 % (15283)Memory used [KB]: 1028
% 0.58/0.73 % (15283)Time elapsed: 0.004 s
% 0.58/0.73 % (15283)Instructions burned: 7 (million)
% 0.58/0.73 % (15281)Success in time 0.339 s
% 0.58/0.73 % Vampire---4.8 exiting
%------------------------------------------------------------------------------