TSTP Solution File: KRS013-1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KRS013-1 : 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 : n032.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 07:17:33 EDT 2024
% Result : Unsatisfiable 0.54s 0.72s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 25
% Syntax : Number of formulae : 61 ( 5 unt; 0 def)
% Number of atoms : 169 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 193 ( 85 ~; 99 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 10 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f171,plain,
$false,
inference(avatar_sat_refutation,[],[f52,f68,f91,f99,f124,f133,f156,f162,f164,f170]) ).
fof(f170,plain,
( ~ spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f169,f96,f58]) ).
fof(f58,plain,
( spl0_3
<=> t2least(u6r1(exist)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f96,plain,
( spl0_10
<=> t(u6r1(exist),u1r2(u6r1(exist))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f169,plain,
( ~ t2least(u6r1(exist))
| spl0_10 ),
inference(resolution,[],[f98,f7]) ).
fof(f7,axiom,
! [X0] :
( t(X0,u1r2(X0))
| ~ t2least(X0) ),
file('/export/starexec/sandbox/tmp/tmp.9ngCy7t9YQ/Vampire---4.8_15271',clause_7) ).
fof(f98,plain,
( ~ t(u6r1(exist),u1r2(u6r1(exist)))
| spl0_10 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f164,plain,
( spl0_14
| spl0_21 ),
inference(avatar_split_clause,[],[f163,f159,f118]) ).
fof(f118,plain,
( spl0_14
<=> s1most(u6r1(exist)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f159,plain,
( spl0_21
<=> s(u6r1(exist),u7r1(u6r1(exist))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f163,plain,
( s1most(u6r1(exist))
| spl0_21 ),
inference(resolution,[],[f161,f32]) ).
fof(f32,axiom,
! [X0] :
( s(X0,u7r1(X0))
| s1most(X0) ),
file('/export/starexec/sandbox/tmp/tmp.9ngCy7t9YQ/Vampire---4.8_15271',clause_32) ).
fof(f161,plain,
( ~ s(u6r1(exist),u7r1(u6r1(exist)))
| spl0_21 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f162,plain,
( spl0_14
| ~ spl0_21
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f157,f122,f159,f118]) ).
fof(f122,plain,
( spl0_15
<=> ! [X0] :
( ~ s(u6r1(exist),X0)
| equalish(u7r2(u6r1(exist)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f157,plain,
( ~ s(u6r1(exist),u7r1(u6r1(exist)))
| s1most(u6r1(exist))
| ~ spl0_15 ),
inference(resolution,[],[f123,f31]) ).
fof(f31,axiom,
! [X0] :
( ~ equalish(u7r2(X0),u7r1(X0))
| s1most(X0) ),
file('/export/starexec/sandbox/tmp/tmp.9ngCy7t9YQ/Vampire---4.8_15271',clause_31) ).
fof(f123,plain,
( ! [X0] :
( equalish(u7r2(u6r1(exist)),X0)
| ~ s(u6r1(exist),X0) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f156,plain,
~ spl0_14,
inference(avatar_contradiction_clause,[],[f155]) ).
fof(f155,plain,
( $false
| ~ spl0_14 ),
inference(resolution,[],[f153,f2]) ).
fof(f2,axiom,
~ f(exist),
file('/export/starexec/sandbox/tmp/tmp.9ngCy7t9YQ/Vampire---4.8_15271',clause_2) ).
fof(f153,plain,
( f(exist)
| ~ spl0_14 ),
inference(resolution,[],[f120,f28]) ).
fof(f28,axiom,
! [X0] :
( ~ s1most(u6r1(X0))
| f(X0) ),
file('/export/starexec/sandbox/tmp/tmp.9ngCy7t9YQ/Vampire---4.8_15271',clause_28) ).
fof(f120,plain,
( s1most(u6r1(exist))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f133,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f129]) ).
fof(f129,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f48,f1]) ).
fof(f1,axiom,
e(exist),
file('/export/starexec/sandbox/tmp/tmp.9ngCy7t9YQ/Vampire---4.8_15271',clause_1) ).
fof(f48,plain,
( ~ e(exist)
| spl0_1 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl0_1
<=> e(exist) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f124,plain,
( spl0_14
| spl0_15
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f103,f89,f122,f118]) ).
fof(f89,plain,
( spl0_9
<=> ! [X0,X1] :
( ~ s(u6r1(exist),X0)
| ~ s(u6r1(exist),X1)
| equalish(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f103,plain,
( ! [X0] :
( ~ s(u6r1(exist),X0)
| equalish(u7r2(u6r1(exist)),X0)
| s1most(u6r1(exist)) )
| ~ spl0_9 ),
inference(resolution,[],[f90,f33]) ).
fof(f33,axiom,
! [X0] :
( s(X0,u7r2(X0))
| s1most(X0) ),
file('/export/starexec/sandbox/tmp/tmp.9ngCy7t9YQ/Vampire---4.8_15271',clause_33) ).
fof(f90,plain,
( ! [X0,X1] :
( ~ s(u6r1(exist),X0)
| ~ s(u6r1(exist),X1)
| equalish(X0,X1) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f99,plain,
( ~ spl0_3
| ~ spl0_10
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f94,f66,f96,f58]) ).
fof(f66,plain,
( spl0_5
<=> ! [X0] :
( ~ t(u6r1(exist),X0)
| equalish(X0,u1r1(u6r1(exist))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f94,plain,
( ~ t(u6r1(exist),u1r2(u6r1(exist)))
| ~ t2least(u6r1(exist))
| ~ spl0_5 ),
inference(resolution,[],[f67,f5]) ).
fof(f5,axiom,
! [X0] :
( ~ equalish(u1r2(X0),u1r1(X0))
| ~ t2least(X0) ),
file('/export/starexec/sandbox/tmp/tmp.9ngCy7t9YQ/Vampire---4.8_15271',clause_5) ).
fof(f67,plain,
( ! [X0] :
( equalish(X0,u1r1(u6r1(exist)))
| ~ t(u6r1(exist),X0) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f91,plain,
( spl0_3
| ~ spl0_1
| spl0_9 ),
inference(avatar_split_clause,[],[f87,f89,f46,f58]) ).
fof(f87,plain,
! [X0,X1] :
( ~ s(u6r1(exist),X0)
| ~ e(exist)
| equalish(X0,X1)
| ~ s(u6r1(exist),X1)
| t2least(u6r1(exist)) ),
inference(resolution,[],[f86,f2]) ).
fof(f86,plain,
! [X2,X0,X1] :
( f(X0)
| ~ s(u6r1(X0),X2)
| ~ e(X0)
| equalish(X2,X1)
| ~ s(u6r1(X0),X1)
| t2least(u6r1(X0)) ),
inference(resolution,[],[f85,f3]) ).
fof(f3,axiom,
! [X0] :
( ~ c(X0)
| t2least(X0) ),
file('/export/starexec/sandbox/tmp/tmp.9ngCy7t9YQ/Vampire---4.8_15271',clause_3) ).
fof(f85,plain,
! [X2,X0,X1] :
( c(u6r1(X2))
| ~ s(u6r1(X2),X1)
| ~ s(u6r1(X2),X0)
| ~ e(X2)
| equalish(X0,X1)
| f(X2) ),
inference(resolution,[],[f39,f29]) ).
fof(f29,axiom,
! [X0] :
( r(X0,u6r1(X0))
| f(X0) ),
file('/export/starexec/sandbox/tmp/tmp.9ngCy7t9YQ/Vampire---4.8_15271',clause_29) ).
fof(f39,plain,
! [X2,X3,X0,X1] :
( ~ r(X3,X0)
| equalish(X1,X2)
| ~ s(X0,X2)
| ~ s(X0,X1)
| ~ e(X3)
| c(X0) ),
inference(resolution,[],[f26,f16]) ).
fof(f16,axiom,
! [X2,X0] :
( ~ s2least(X2)
| ~ r(X0,X2)
| ~ e(X0)
| c(X2) ),
file('/export/starexec/sandbox/tmp/tmp.9ngCy7t9YQ/Vampire---4.8_15271',clause_16) ).
fof(f26,axiom,
! [X2,X0,X1] :
( s2least(X0)
| ~ s(X0,X1)
| equalish(X1,X2)
| ~ s(X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.9ngCy7t9YQ/Vampire---4.8_15271',clause_26) ).
fof(f68,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f54,f50,f66,f58]) ).
fof(f50,plain,
( spl0_2
<=> ! [X0,X1] :
( ~ t(u6r1(exist),X0)
| ~ t(u6r1(exist),X1)
| equalish(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f54,plain,
( ! [X0] :
( ~ t(u6r1(exist),X0)
| equalish(X0,u1r1(u6r1(exist)))
| ~ t2least(u6r1(exist)) )
| ~ spl0_2 ),
inference(resolution,[],[f51,f6]) ).
fof(f6,axiom,
! [X0] :
( t(X0,u1r1(X0))
| ~ t2least(X0) ),
file('/export/starexec/sandbox/tmp/tmp.9ngCy7t9YQ/Vampire---4.8_15271',clause_6) ).
fof(f51,plain,
( ! [X0,X1] :
( ~ t(u6r1(exist),X0)
| ~ t(u6r1(exist),X1)
| equalish(X1,X0) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f52,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f44,f50,f46]) ).
fof(f44,plain,
! [X0,X1] :
( ~ t(u6r1(exist),X0)
| equalish(X1,X0)
| ~ t(u6r1(exist),X1)
| ~ e(exist) ),
inference(resolution,[],[f41,f2]) ).
fof(f41,plain,
! [X2,X0,X1] :
( f(X0)
| ~ t(u6r1(X0),X2)
| equalish(X1,X2)
| ~ t(u6r1(X0),X1)
| ~ e(X0) ),
inference(resolution,[],[f11,f36]) ).
fof(f36,plain,
! [X0] :
( t1most(u6r1(X0))
| f(X0)
| ~ e(X0) ),
inference(resolution,[],[f34,f9]) ).
fof(f9,axiom,
! [X0] :
( ~ d(X0)
| t1most(X0) ),
file('/export/starexec/sandbox/tmp/tmp.9ngCy7t9YQ/Vampire---4.8_15271',clause_9) ).
fof(f34,plain,
! [X0] :
( d(u6r1(X0))
| ~ e(X0)
| f(X0) ),
inference(resolution,[],[f15,f29]) ).
fof(f15,axiom,
! [X0,X1] :
( ~ r(X0,X1)
| ~ e(X0)
| d(X1) ),
file('/export/starexec/sandbox/tmp/tmp.9ngCy7t9YQ/Vampire---4.8_15271',clause_15) ).
fof(f11,axiom,
! [X2,X0,X1] :
( ~ t1most(X0)
| ~ t(X0,X1)
| ~ t(X0,X2)
| equalish(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.9ngCy7t9YQ/Vampire---4.8_15271',clause_11) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : KRS013-1 : TPTP v8.1.2. Released v2.0.0.
% 0.08/0.11 % 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
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri May 3 19:53:07 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.10/0.30 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.9ngCy7t9YQ/Vampire---4.8_15271
% 0.54/0.72 % (15524)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.54/0.72 % (15529)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 (2995ds/56Mi)
% 0.54/0.72 % (15522)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 (2995ds/34Mi)
% 0.54/0.72 % (15525)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.54/0.72 % (15523)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 (2995ds/51Mi)
% 0.54/0.72 % (15526)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 (2995ds/34Mi)
% 0.54/0.72 % (15527)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.54/0.72 % (15528)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 (2995ds/83Mi)
% 0.54/0.72 % (15529)Refutation not found, incomplete strategy% (15529)------------------------------
% 0.54/0.72 % (15529)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.72 % (15529)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.72
% 0.54/0.72 % (15529)Memory used [KB]: 952
% 0.54/0.72 % (15529)Time elapsed: 0.002 s
% 0.54/0.72 % (15529)Instructions burned: 2 (million)
% 0.54/0.72 % (15525)Refutation not found, incomplete strategy% (15525)------------------------------
% 0.54/0.72 % (15525)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.72 % (15525)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.72
% 0.54/0.72 % (15525)Memory used [KB]: 952
% 0.54/0.72 % (15525)Time elapsed: 0.002 s
% 0.54/0.72 % (15525)Instructions burned: 2 (million)
% 0.54/0.72 % (15527)Refutation not found, incomplete strategy% (15527)------------------------------
% 0.54/0.72 % (15527)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.72 % (15529)------------------------------
% 0.54/0.72 % (15529)------------------------------
% 0.54/0.72 % (15527)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.72
% 0.54/0.72 % (15527)Memory used [KB]: 952
% 0.54/0.72 % (15527)Time elapsed: 0.002 s
% 0.54/0.72 % (15527)Instructions burned: 2 (million)
% 0.54/0.72 % (15525)------------------------------
% 0.54/0.72 % (15525)------------------------------
% 0.54/0.72 % (15527)------------------------------
% 0.54/0.72 % (15527)------------------------------
% 0.54/0.72 % (15526)Refutation not found, incomplete strategy% (15526)------------------------------
% 0.54/0.72 % (15526)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.72 % (15526)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.72
% 0.54/0.72 % (15526)Memory used [KB]: 957
% 0.54/0.72 % (15526)Time elapsed: 0.002 s
% 0.54/0.72 % (15526)Instructions burned: 2 (million)
% 0.54/0.72 % (15528)Refutation not found, incomplete strategy% (15528)------------------------------
% 0.54/0.72 % (15528)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.72 % (15522)Refutation not found, incomplete strategy% (15522)------------------------------
% 0.54/0.72 % (15522)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.72 % (15528)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.72
% 0.54/0.72 % (15528)Memory used [KB]: 957
% 0.54/0.72 % (15528)Time elapsed: 0.003 s
% 0.54/0.72 % (15528)Instructions burned: 2 (million)
% 0.54/0.72 % (15526)------------------------------
% 0.54/0.72 % (15526)------------------------------
% 0.54/0.72 % (15522)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.72
% 0.54/0.72 % (15522)Memory used [KB]: 971
% 0.54/0.72 % (15522)Time elapsed: 0.003 s
% 0.54/0.72 % (15522)Instructions burned: 3 (million)
% 0.54/0.72 % (15528)------------------------------
% 0.54/0.72 % (15528)------------------------------
% 0.54/0.72 % (15522)------------------------------
% 0.54/0.72 % (15522)------------------------------
% 0.54/0.72 % (15523)First to succeed.
% 0.54/0.72 % (15524)Also succeeded, but the first one will report.
% 0.54/0.72 % (15530)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 (2995ds/55Mi)
% 0.54/0.72 % (15523)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15512"
% 0.54/0.72 % (15531)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.54/0.72 % (15523)Refutation found. Thanks to Tanya!
% 0.54/0.72 % SZS status Unsatisfiable for Vampire---4
% 0.54/0.72 % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.72 % (15523)------------------------------
% 0.54/0.72 % (15523)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.72 % (15523)Termination reason: Refutation
% 0.54/0.72
% 0.54/0.72 % (15523)Memory used [KB]: 1021
% 0.54/0.72 % (15523)Time elapsed: 0.006 s
% 0.54/0.72 % (15523)Instructions burned: 6 (million)
% 0.54/0.72 % (15512)Success in time 0.414 s
% 0.54/0.72 % Vampire---4.8 exiting
%------------------------------------------------------------------------------