TSTP Solution File: SEU155+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU155+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n016.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 03:50:18 EDT 2024
% Result : Theorem 0.58s 0.74s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 4 unt; 0 def)
% Number of atoms : 129 ( 8 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 156 ( 56 ~; 52 |; 36 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 84 ( 65 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f63,plain,
$false,
inference(resolution,[],[f61,f34]) ).
fof(f34,plain,
in(sK4,sK5),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
( ~ subset(sK4,union(sK5))
& in(sK4,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f11,f22]) ).
fof(f22,plain,
( ? [X0,X1] :
( ~ subset(X0,union(X1))
& in(X0,X1) )
=> ( ~ subset(sK4,union(sK5))
& in(sK4,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
? [X0,X1] :
( ~ subset(X0,union(X1))
& in(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,negated_conjecture,
~ ! [X0,X1] :
( in(X0,X1)
=> subset(X0,union(X1)) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
! [X0,X1] :
( in(X0,X1)
=> subset(X0,union(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.LqoVU3aLfV/Vampire---4.8_31542',l50_zfmisc_1) ).
fof(f61,plain,
~ in(sK4,sK5),
inference(resolution,[],[f60,f35]) ).
fof(f35,plain,
~ subset(sK4,union(sK5)),
inference(cnf_transformation,[],[f23]) ).
fof(f60,plain,
! [X0,X1] :
( subset(X0,union(X1))
| ~ in(X0,X1) ),
inference(duplicate_literal_removal,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ in(X0,X1)
| subset(X0,union(X1))
| subset(X0,union(X1)) ),
inference(resolution,[],[f53,f26]) ).
fof(f26,plain,
! [X0,X1] :
( in(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK0(X0,X1),X1)
& in(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f13,f14]) ).
fof(f14,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK0(X0,X1),X1)
& in(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.LqoVU3aLfV/Vampire---4.8_31542',d3_tarski) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ in(sK0(X2,union(X1)),X0)
| ~ in(X0,X1)
| subset(X2,union(X1)) ),
inference(resolution,[],[f37,f27]) ).
fof(f27,plain,
! [X0,X1] :
( ~ in(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f37,plain,
! [X0,X6,X5] :
( in(X5,union(X0))
| ~ in(X6,X0)
| ~ in(X5,X6) ),
inference(equality_resolution,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(X6,X0)
| ~ in(X5,X6)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ( union(X0) = X1
| ( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(sK1(X0,X1),X3) )
| ~ in(sK1(X0,X1),X1) )
& ( ( in(sK2(X0,X1),X0)
& in(sK1(X0,X1),sK2(X0,X1)) )
| in(sK1(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,X0)
| ~ in(X5,X6) ) )
& ( ( in(sK3(X0,X5),X0)
& in(X5,sK3(X0,X5)) )
| ~ in(X5,X1) ) )
| union(X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f17,f20,f19,f18]) ).
fof(f18,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(X2,X3) )
| ~ in(X2,X1) )
& ( ? [X4] :
( in(X4,X0)
& in(X2,X4) )
| in(X2,X1) ) )
=> ( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(sK1(X0,X1),X3) )
| ~ in(sK1(X0,X1),X1) )
& ( ? [X4] :
( in(X4,X0)
& in(sK1(X0,X1),X4) )
| in(sK1(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0,X1] :
( ? [X4] :
( in(X4,X0)
& in(sK1(X0,X1),X4) )
=> ( in(sK2(X0,X1),X0)
& in(sK1(X0,X1),sK2(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
! [X0,X5] :
( ? [X7] :
( in(X7,X0)
& in(X5,X7) )
=> ( in(sK3(X0,X5),X0)
& in(X5,sK3(X0,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X0,X1] :
( ( union(X0) = X1
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(X2,X3) )
| ~ in(X2,X1) )
& ( ? [X4] :
( in(X4,X0)
& in(X2,X4) )
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,X0)
| ~ in(X5,X6) ) )
& ( ? [X7] :
( in(X7,X0)
& in(X5,X7) )
| ~ in(X5,X1) ) )
| union(X0) != X1 ) ),
inference(rectify,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( ( union(X0) = X1
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(X2,X3) )
| ~ in(X2,X1) )
& ( ? [X3] :
( in(X3,X0)
& in(X2,X3) )
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( ~ in(X3,X0)
| ~ in(X2,X3) ) )
& ( ? [X3] :
( in(X3,X0)
& in(X2,X3) )
| ~ in(X2,X1) ) )
| union(X0) != X1 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( union(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,X0)
& in(X2,X3) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.LqoVU3aLfV/Vampire---4.8_31542',d4_tarski) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU155+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.15 % 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 : n016.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 16:53:56 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.LqoVU3aLfV/Vampire---4.8_31542
% 0.58/0.74 % (31802)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 % (31796)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 % (31802)Refutation not found, incomplete strategy% (31802)------------------------------
% 0.58/0.74 % (31802)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.74 % (31802)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74
% 0.58/0.74 % (31802)Memory used [KB]: 964
% 0.58/0.74 % (31802)Time elapsed: 0.002 s
% 0.58/0.74 % (31802)Instructions burned: 2 (million)
% 0.58/0.74 % (31802)------------------------------
% 0.58/0.74 % (31802)------------------------------
% 0.58/0.74 % (31797)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 % (31799)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 % (31801)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 % (31798)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 % (31803)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 % (31801)Refutation not found, incomplete strategy% (31801)------------------------------
% 0.58/0.74 % (31801)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.74 % (31801)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74
% 0.58/0.74 % (31801)Memory used [KB]: 963
% 0.58/0.74 % (31801)Time elapsed: 0.002 s
% 0.58/0.74 % (31801)Instructions burned: 2 (million)
% 0.58/0.74 % (31801)------------------------------
% 0.58/0.74 % (31801)------------------------------
% 0.58/0.74 % (31799)Refutation not found, incomplete strategy% (31799)------------------------------
% 0.58/0.74 % (31799)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.74 % (31799)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74
% 0.58/0.74 % (31799)Memory used [KB]: 967
% 0.58/0.74 % (31799)Time elapsed: 0.003 s
% 0.58/0.74 % (31799)Instructions burned: 3 (million)
% 0.58/0.74 % (31799)------------------------------
% 0.58/0.74 % (31799)------------------------------
% 0.58/0.74 % (31803)Refutation not found, incomplete strategy% (31803)------------------------------
% 0.58/0.74 % (31803)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.74 % (31803)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74
% 0.58/0.74 % (31803)Memory used [KB]: 964
% 0.58/0.74 % (31803)Time elapsed: 0.002 s
% 0.58/0.74 % (31803)Instructions burned: 2 (million)
% 0.58/0.74 % (31803)------------------------------
% 0.58/0.74 % (31803)------------------------------
% 0.58/0.74 % (31797)First to succeed.
% 0.58/0.74 % (31800)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 % (31800)Refutation not found, incomplete strategy% (31800)------------------------------
% 0.58/0.74 % (31800)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.74 % (31800)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74
% 0.58/0.74 % (31800)Memory used [KB]: 969
% 0.58/0.74 % (31800)Time elapsed: 0.001 s
% 0.58/0.74 % (31800)Instructions burned: 2 (million)
% 0.58/0.74 % (31800)------------------------------
% 0.58/0.74 % (31800)------------------------------
% 0.58/0.74 % (31798)Also succeeded, but the first one will report.
% 0.58/0.74 % (31797)Refutation found. Thanks to Tanya!
% 0.58/0.74 % SZS status Theorem for Vampire---4
% 0.58/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.74 % (31797)------------------------------
% 0.58/0.74 % (31797)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.74 % (31797)Termination reason: Refutation
% 0.58/0.74
% 0.58/0.74 % (31797)Memory used [KB]: 980
% 0.58/0.74 % (31797)Time elapsed: 0.004 s
% 0.58/0.74 % (31797)Instructions burned: 4 (million)
% 0.58/0.74 % (31797)------------------------------
% 0.58/0.74 % (31797)------------------------------
% 0.58/0.74 % (31792)Success in time 0.371 s
% 0.58/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------