TSTP Solution File: SET047+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET047+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n002.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 03:44:36 EDT 2024
% Result : Theorem 0.58s 0.76s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 58 ( 1 unt; 0 def)
% Number of atoms : 189 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 215 ( 84 ~; 103 |; 15 &)
% ( 10 <=>; 2 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 41 ( 32 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f99,plain,
$false,
inference(avatar_sat_refutation,[],[f26,f27,f39,f52,f64,f83,f91,f98]) ).
fof(f98,plain,
( ~ spl3_2
| ~ spl3_3
| spl3_4 ),
inference(avatar_contradiction_clause,[],[f97]) ).
fof(f97,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| spl3_4 ),
inference(subsumption_resolution,[],[f96,f33]) ).
fof(f33,plain,
( element(sK2(sK0,sK1),sK0)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f32,plain,
( spl3_3
<=> element(sK2(sK0,sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f96,plain,
( ~ element(sK2(sK0,sK1),sK0)
| ~ spl3_2
| spl3_4 ),
inference(resolution,[],[f24,f66]) ).
fof(f66,plain,
( ! [X0] :
( ~ set_equal(sK1,X0)
| ~ element(sK2(sK0,sK1),X0) )
| spl3_4 ),
inference(resolution,[],[f38,f15]) ).
fof(f15,plain,
! [X3,X0,X1] :
( element(X3,X0)
| ~ element(X3,X1)
| ~ set_equal(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( ( set_equal(X0,X1)
| ( ( ~ element(sK2(X0,X1),X1)
| ~ element(sK2(X0,X1),X0) )
& ( element(sK2(X0,X1),X1)
| element(sK2(X0,X1),X0) ) ) )
& ( ! [X3] :
( ( element(X3,X0)
| ~ element(X3,X1) )
& ( element(X3,X1)
| ~ element(X3,X0) ) )
| ~ set_equal(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f9,f10]) ).
fof(f10,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ element(X2,X1)
| ~ element(X2,X0) )
& ( element(X2,X1)
| element(X2,X0) ) )
=> ( ( ~ element(sK2(X0,X1),X1)
| ~ element(sK2(X0,X1),X0) )
& ( element(sK2(X0,X1),X1)
| element(sK2(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
! [X0,X1] :
( ( set_equal(X0,X1)
| ? [X2] :
( ( ~ element(X2,X1)
| ~ element(X2,X0) )
& ( element(X2,X1)
| element(X2,X0) ) ) )
& ( ! [X3] :
( ( element(X3,X0)
| ~ element(X3,X1) )
& ( element(X3,X1)
| ~ element(X3,X0) ) )
| ~ set_equal(X0,X1) ) ),
inference(rectify,[],[f8]) ).
fof(f8,plain,
! [X0,X1] :
( ( set_equal(X0,X1)
| ? [X2] :
( ( ~ element(X2,X1)
| ~ element(X2,X0) )
& ( element(X2,X1)
| element(X2,X0) ) ) )
& ( ! [X2] :
( ( element(X2,X0)
| ~ element(X2,X1) )
& ( element(X2,X1)
| ~ element(X2,X0) ) )
| ~ set_equal(X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( set_equal(X0,X1)
<=> ! [X2] :
( element(X2,X0)
<=> element(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.WbTeYmWkcH/Vampire---4.8_14217',pel43_1) ).
fof(f38,plain,
( ~ element(sK2(sK0,sK1),sK1)
| spl3_4 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f36,plain,
( spl3_4
<=> element(sK2(sK0,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f24,plain,
( set_equal(sK1,sK0)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f23,plain,
( spl3_2
<=> set_equal(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f91,plain,
( ~ spl3_1
| ~ spl3_5
| spl3_6 ),
inference(avatar_contradiction_clause,[],[f90]) ).
fof(f90,plain,
( $false
| ~ spl3_1
| ~ spl3_5
| spl3_6 ),
inference(subsumption_resolution,[],[f87,f58]) ).
fof(f58,plain,
( element(sK2(sK1,sK0),sK1)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f57,plain,
( spl3_5
<=> element(sK2(sK1,sK0),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f87,plain,
( ~ element(sK2(sK1,sK0),sK1)
| ~ spl3_1
| spl3_6 ),
inference(resolution,[],[f85,f20]) ).
fof(f20,plain,
( set_equal(sK0,sK1)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f19,plain,
( spl3_1
<=> set_equal(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f85,plain,
( ! [X0] :
( ~ set_equal(sK0,X0)
| ~ element(sK2(sK1,sK0),X0) )
| spl3_6 ),
inference(resolution,[],[f63,f15]) ).
fof(f63,plain,
( ~ element(sK2(sK1,sK0),sK0)
| spl3_6 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f61,plain,
( spl3_6
<=> element(sK2(sK1,sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f83,plain,
( ~ spl3_1
| spl3_2
| spl3_5 ),
inference(avatar_contradiction_clause,[],[f82]) ).
fof(f82,plain,
( $false
| ~ spl3_1
| spl3_2
| spl3_5 ),
inference(subsumption_resolution,[],[f81,f59]) ).
fof(f59,plain,
( ~ element(sK2(sK1,sK0),sK1)
| spl3_5 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f81,plain,
( element(sK2(sK1,sK0),sK1)
| ~ spl3_1
| spl3_2
| spl3_5 ),
inference(subsumption_resolution,[],[f80,f25]) ).
fof(f25,plain,
( ~ set_equal(sK1,sK0)
| spl3_2 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f80,plain,
( set_equal(sK1,sK0)
| element(sK2(sK1,sK0),sK1)
| ~ spl3_1
| spl3_5 ),
inference(subsumption_resolution,[],[f77,f20]) ).
fof(f77,plain,
( ~ set_equal(sK0,sK1)
| set_equal(sK1,sK0)
| element(sK2(sK1,sK0),sK1)
| spl3_5 ),
inference(resolution,[],[f69,f16]) ).
fof(f16,plain,
! [X0,X1] :
( element(sK2(X0,X1),X1)
| set_equal(X0,X1)
| element(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f69,plain,
( ! [X0] :
( ~ element(sK2(sK1,sK0),X0)
| ~ set_equal(X0,sK1) )
| spl3_5 ),
inference(resolution,[],[f59,f14]) ).
fof(f14,plain,
! [X3,X0,X1] :
( element(X3,X1)
| ~ element(X3,X0)
| ~ set_equal(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f64,plain,
( ~ spl3_5
| ~ spl3_6
| spl3_2 ),
inference(avatar_split_clause,[],[f55,f23,f61,f57]) ).
fof(f55,plain,
( ~ element(sK2(sK1,sK0),sK0)
| ~ element(sK2(sK1,sK0),sK1)
| spl3_2 ),
inference(resolution,[],[f25,f17]) ).
fof(f17,plain,
! [X0,X1] :
( set_equal(X0,X1)
| ~ element(sK2(X0,X1),X1)
| ~ element(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f52,plain,
( spl3_1
| ~ spl3_2
| spl3_3 ),
inference(avatar_split_clause,[],[f51,f32,f23,f19]) ).
fof(f51,plain,
( ~ set_equal(sK1,sK0)
| set_equal(sK0,sK1)
| spl3_3 ),
inference(subsumption_resolution,[],[f44,f34]) ).
fof(f34,plain,
( ~ element(sK2(sK0,sK1),sK0)
| spl3_3 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f44,plain,
( ~ set_equal(sK1,sK0)
| set_equal(sK0,sK1)
| element(sK2(sK0,sK1),sK0)
| spl3_3 ),
inference(resolution,[],[f41,f16]) ).
fof(f41,plain,
( ! [X0] :
( ~ element(sK2(sK0,sK1),X0)
| ~ set_equal(X0,sK0) )
| spl3_3 ),
inference(resolution,[],[f34,f14]) ).
fof(f39,plain,
( ~ spl3_3
| ~ spl3_4
| spl3_1 ),
inference(avatar_split_clause,[],[f30,f19,f36,f32]) ).
fof(f30,plain,
( ~ element(sK2(sK0,sK1),sK1)
| ~ element(sK2(sK0,sK1),sK0)
| spl3_1 ),
inference(resolution,[],[f17,f21]) ).
fof(f21,plain,
( ~ set_equal(sK0,sK1)
| spl3_1 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f27,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f12,f23,f19]) ).
fof(f12,plain,
( set_equal(sK1,sK0)
| set_equal(sK0,sK1) ),
inference(cnf_transformation,[],[f7]) ).
fof(f7,plain,
( ( ~ set_equal(sK1,sK0)
| ~ set_equal(sK0,sK1) )
& ( set_equal(sK1,sK0)
| set_equal(sK0,sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f5,f6]) ).
fof(f6,plain,
( ? [X0,X1] :
( ( ~ set_equal(X1,X0)
| ~ set_equal(X0,X1) )
& ( set_equal(X1,X0)
| set_equal(X0,X1) ) )
=> ( ( ~ set_equal(sK1,sK0)
| ~ set_equal(sK0,sK1) )
& ( set_equal(sK1,sK0)
| set_equal(sK0,sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f5,plain,
? [X0,X1] :
( ( ~ set_equal(X1,X0)
| ~ set_equal(X0,X1) )
& ( set_equal(X1,X0)
| set_equal(X0,X1) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,plain,
? [X0,X1] :
( set_equal(X0,X1)
<~> set_equal(X1,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,negated_conjecture,
~ ! [X0,X1] :
( set_equal(X0,X1)
<=> set_equal(X1,X0) ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,conjecture,
! [X0,X1] :
( set_equal(X0,X1)
<=> set_equal(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.WbTeYmWkcH/Vampire---4.8_14217',pel43) ).
fof(f26,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f13,f23,f19]) ).
fof(f13,plain,
( ~ set_equal(sK1,sK0)
| ~ set_equal(sK0,sK1) ),
inference(cnf_transformation,[],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET047+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.15 % 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 : n002.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 17:35:40 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.WbTeYmWkcH/Vampire---4.8_14217
% 0.58/0.76 % (14397)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)
% 0.58/0.76 % (14399)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)
% 0.58/0.76 % (14399)Refutation not found, incomplete strategy% (14399)------------------------------
% 0.58/0.76 % (14399)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (14397)Refutation not found, incomplete strategy% (14397)------------------------------
% 0.58/0.76 % (14397)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (14397)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (14397)Memory used [KB]: 947
% 0.58/0.76 % (14397)Time elapsed: 0.001 s
% 0.58/0.76 % (14397)Instructions burned: 2 (million)
% 0.58/0.76 % (14397)------------------------------
% 0.58/0.76 % (14397)------------------------------
% 0.58/0.76 % (14399)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (14399)Memory used [KB]: 947
% 0.58/0.76 % (14399)Time elapsed: 0.001 s
% 0.58/0.76 % (14399)Instructions burned: 2 (million)
% 0.58/0.76 % (14399)------------------------------
% 0.58/0.76 % (14399)------------------------------
% 0.58/0.76 % (14392)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)
% 0.58/0.76 % (14394)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.76 % (14395)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)
% 0.58/0.76 % (14396)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)
% 0.58/0.76 % (14393)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)
% 0.58/0.76 % (14398)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)
% 0.58/0.76 % (14395)Refutation not found, incomplete strategy% (14395)------------------------------
% 0.58/0.76 % (14395)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (14395)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (14395)Memory used [KB]: 947
% 0.58/0.76 % (14395)Time elapsed: 0.002 s
% 0.58/0.76 % (14395)Instructions burned: 2 (million)
% 0.58/0.76 % (14396)Refutation not found, incomplete strategy% (14396)------------------------------
% 0.58/0.76 % (14396)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (14395)------------------------------
% 0.58/0.76 % (14395)------------------------------
% 0.58/0.76 % (14396)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (14396)Memory used [KB]: 952
% 0.58/0.76 % (14398)Refutation not found, incomplete strategy% (14398)------------------------------
% 0.58/0.76 % (14398)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (14398)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (14398)Memory used [KB]: 946
% 0.58/0.76 % (14398)Time elapsed: 0.002 s
% 0.58/0.76 % (14398)Instructions burned: 2 (million)
% 0.58/0.76 % (14398)------------------------------
% 0.58/0.76 % (14398)------------------------------
% 0.58/0.76 % (14396)Time elapsed: 0.002 s
% 0.58/0.76 % (14396)Instructions burned: 2 (million)
% 0.58/0.76 % (14396)------------------------------
% 0.58/0.76 % (14396)------------------------------
% 0.58/0.76 % (14400)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)
% 0.58/0.76 % (14401)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 (2996ds/50Mi)
% 0.58/0.76 % (14394)First to succeed.
% 0.58/0.76 % (14400)Refutation not found, incomplete strategy% (14400)------------------------------
% 0.58/0.76 % (14400)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (14400)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (14400)Memory used [KB]: 965
% 0.58/0.76 % (14400)Time elapsed: 0.001 s
% 0.58/0.76 % (14400)Instructions burned: 2 (million)
% 0.58/0.76 % (14400)------------------------------
% 0.58/0.76 % (14400)------------------------------
% 0.58/0.76 % (14393)Also succeeded, but the first one will report.
% 0.58/0.76 % (14401)Also succeeded, but the first one will report.
% 0.58/0.76 % (14394)Refutation found. Thanks to Tanya!
% 0.58/0.76 % SZS status Theorem for Vampire---4
% 0.58/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.76 % (14394)------------------------------
% 0.58/0.76 % (14394)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (14394)Termination reason: Refutation
% 0.58/0.76
% 0.58/0.76 % (14394)Memory used [KB]: 994
% 0.58/0.76 % (14394)Time elapsed: 0.005 s
% 0.58/0.76 % (14394)Instructions burned: 5 (million)
% 0.58/0.76 % (14394)------------------------------
% 0.58/0.76 % (14394)------------------------------
% 0.58/0.76 % (14382)Success in time 0.391 s
% 0.58/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------