TSTP Solution File: SEU162+3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU162+3 : TPTP v8.1.2. Released v3.2.0.
% 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 : n011.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 09:20:38 EDT 2024
% Result : Theorem 0.58s 0.75s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 1 unt; 0 def)
% Number of atoms : 96 ( 23 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 101 ( 46 ~; 40 |; 6 &)
% ( 5 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 36 ( 30 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f55,plain,
$false,
inference(avatar_sat_refutation,[],[f35,f36,f45,f54]) ).
fof(f54,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_contradiction_clause,[],[f53]) ).
fof(f53,plain,
( $false
| ~ spl2_1
| ~ spl2_2 ),
inference(subsumption_resolution,[],[f51,f29]) ).
fof(f29,plain,
( sK0 = set_difference(sK0,singleton(sK1))
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f28,plain,
( spl2_1
<=> sK0 = set_difference(sK0,singleton(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f51,plain,
( sK0 != set_difference(sK0,singleton(sK1))
| ~ spl2_2 ),
inference(resolution,[],[f50,f22]) ).
fof(f22,plain,
! [X0,X1] :
( disjoint(X0,X1)
| set_difference(X0,X1) != X0 ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( ( disjoint(X0,X1)
| set_difference(X0,X1) != X0 )
& ( set_difference(X0,X1) = X0
| ~ disjoint(X0,X1) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( disjoint(X0,X1)
<=> set_difference(X0,X1) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.KJof69GAxK/Vampire---4.8_28023',t83_xboole_1) ).
fof(f50,plain,
( ~ disjoint(sK0,singleton(sK1))
| ~ spl2_2 ),
inference(resolution,[],[f46,f26]) ).
fof(f26,plain,
! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( disjoint(X0,X1)
=> disjoint(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.KJof69GAxK/Vampire---4.8_28023',symmetry_r1_xboole_0) ).
fof(f46,plain,
( ~ disjoint(singleton(sK1),sK0)
| ~ spl2_2 ),
inference(resolution,[],[f34,f24]) ).
fof(f24,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ disjoint(singleton(X0),X1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ disjoint(singleton(X0),X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
~ ( in(X0,X1)
& disjoint(singleton(X0),X1) ),
file('/export/starexec/sandbox/tmp/tmp.KJof69GAxK/Vampire---4.8_28023',l25_zfmisc_1) ).
fof(f34,plain,
( in(sK1,sK0)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f32,plain,
( spl2_2
<=> in(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f45,plain,
( spl2_1
| spl2_2 ),
inference(avatar_contradiction_clause,[],[f44]) ).
fof(f44,plain,
( $false
| spl2_1
| spl2_2 ),
inference(subsumption_resolution,[],[f41,f33]) ).
fof(f33,plain,
( ~ in(sK1,sK0)
| spl2_2 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f41,plain,
( in(sK1,sK0)
| spl2_1 ),
inference(resolution,[],[f40,f23]) ).
fof(f23,plain,
! [X0,X1] :
( disjoint(singleton(X0),X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( disjoint(singleton(X0),X1)
| in(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ in(X0,X1)
=> disjoint(singleton(X0),X1) ),
file('/export/starexec/sandbox/tmp/tmp.KJof69GAxK/Vampire---4.8_28023',l28_zfmisc_1) ).
fof(f40,plain,
( ~ disjoint(singleton(sK1),sK0)
| spl2_1 ),
inference(resolution,[],[f38,f26]) ).
fof(f38,plain,
( ~ disjoint(sK0,singleton(sK1))
| spl2_1 ),
inference(trivial_inequality_removal,[],[f37]) ).
fof(f37,plain,
( sK0 != sK0
| ~ disjoint(sK0,singleton(sK1))
| spl2_1 ),
inference(superposition,[],[f30,f21]) ).
fof(f21,plain,
! [X0,X1] :
( set_difference(X0,X1) = X0
| ~ disjoint(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f30,plain,
( sK0 != set_difference(sK0,singleton(sK1))
| spl2_1 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f36,plain,
( spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f19,f32,f28]) ).
fof(f19,plain,
( ~ in(sK1,sK0)
| sK0 = set_difference(sK0,singleton(sK1)) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
( ( in(sK1,sK0)
| sK0 != set_difference(sK0,singleton(sK1)) )
& ( ~ in(sK1,sK0)
| sK0 = set_difference(sK0,singleton(sK1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f15,f16]) ).
fof(f16,plain,
( ? [X0,X1] :
( ( in(X1,X0)
| set_difference(X0,singleton(X1)) != X0 )
& ( ~ in(X1,X0)
| set_difference(X0,singleton(X1)) = X0 ) )
=> ( ( in(sK1,sK0)
| sK0 != set_difference(sK0,singleton(sK1)) )
& ( ~ in(sK1,sK0)
| sK0 = set_difference(sK0,singleton(sK1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
? [X0,X1] :
( ( in(X1,X0)
| set_difference(X0,singleton(X1)) != X0 )
& ( ~ in(X1,X0)
| set_difference(X0,singleton(X1)) = X0 ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
? [X0,X1] :
( set_difference(X0,singleton(X1)) = X0
<~> ~ in(X1,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,negated_conjecture,
~ ! [X0,X1] :
( set_difference(X0,singleton(X1)) = X0
<=> ~ in(X1,X0) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X0,X1] :
( set_difference(X0,singleton(X1)) = X0
<=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.KJof69GAxK/Vampire---4.8_28023',t65_zfmisc_1) ).
fof(f35,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f20,f32,f28]) ).
fof(f20,plain,
( in(sK1,sK0)
| sK0 != set_difference(sK0,singleton(sK1)) ),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU162+3 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.14 % 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
% 0.15/0.36 % Computer : n011.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 : Fri May 3 11:24:19 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 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.KJof69GAxK/Vampire---4.8_28023
% 0.58/0.74 % (28138)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)
% 0.58/0.74 % (28138)Refutation not found, incomplete strategy% (28138)------------------------------
% 0.58/0.74 % (28138)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74 % (28138)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74
% 0.58/0.74 % (28138)Memory used [KB]: 966
% 0.58/0.74 % (28138)Time elapsed: 0.002 s
% 0.58/0.74 % (28138)Instructions burned: 2 (million)
% 0.58/0.74 % (28138)------------------------------
% 0.58/0.74 % (28138)------------------------------
% 0.58/0.74 % (28131)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)
% 0.58/0.74 % (28133)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.74 % (28132)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)
% 0.58/0.74 % (28135)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)
% 0.58/0.74 % (28136)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)
% 0.58/0.74 % (28137)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)
% 0.58/0.74 % (28134)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)
% 0.58/0.74 % (28135)Refutation not found, incomplete strategy% (28135)------------------------------
% 0.58/0.74 % (28135)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74 % (28135)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74
% 0.58/0.74 % (28135)Memory used [KB]: 968
% 0.58/0.74 % (28135)Time elapsed: 0.003 s
% 0.58/0.74 % (28135)Instructions burned: 2 (million)
% 0.58/0.74 % (28131)Refutation not found, incomplete strategy% (28131)------------------------------
% 0.58/0.74 % (28131)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74 % (28131)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74
% 0.58/0.74 % (28131)Memory used [KB]: 983
% 0.58/0.74 % (28131)Time elapsed: 0.003 s
% 0.58/0.74 % (28131)Instructions burned: 2 (million)
% 0.58/0.74 % (28134)Refutation not found, incomplete strategy% (28134)------------------------------
% 0.58/0.74 % (28134)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74 % (28134)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74
% 0.58/0.74 % (28135)------------------------------
% 0.58/0.74 % (28135)------------------------------
% 0.58/0.74 % (28136)Refutation not found, incomplete strategy% (28136)------------------------------
% 0.58/0.74 % (28136)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74 % (28136)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74
% 0.58/0.74 % (28136)Memory used [KB]: 977
% 0.58/0.74 % (28136)Time elapsed: 0.003 s
% 0.58/0.74 % (28136)Instructions burned: 2 (million)
% 0.58/0.74 % (28134)Memory used [KB]: 968
% 0.58/0.74 % (28134)Time elapsed: 0.003 s
% 0.58/0.74 % (28134)Instructions burned: 2 (million)
% 0.58/0.75 % (28131)------------------------------
% 0.58/0.75 % (28131)------------------------------
% 0.58/0.75 % (28133)First to succeed.
% 0.58/0.75 % (28132)Also succeeded, but the first one will report.
% 0.58/0.75 % (28136)------------------------------
% 0.58/0.75 % (28136)------------------------------
% 0.58/0.75 % (28137)Also succeeded, but the first one will report.
% 0.58/0.75 % (28134)------------------------------
% 0.58/0.75 % (28134)------------------------------
% 0.58/0.75 % (28139)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.58/0.75 % (28133)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28130"
% 0.58/0.75 % (28133)Refutation found. Thanks to Tanya!
% 0.58/0.75 % SZS status Theorem for Vampire---4
% 0.58/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.75 % (28133)------------------------------
% 0.58/0.75 % (28133)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (28133)Termination reason: Refutation
% 0.58/0.75
% 0.58/0.75 % (28133)Memory used [KB]: 988
% 0.58/0.75 % (28133)Time elapsed: 0.004 s
% 0.58/0.75 % (28133)Instructions burned: 4 (million)
% 0.58/0.75 % (28130)Success in time 0.378 s
% 0.58/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------