TSTP Solution File: SET983+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET983+1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n024.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 03:49:42 EDT 2024
% Result : Theorem 0.59s 0.81s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 8 unt; 0 def)
% Number of atoms : 110 ( 12 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 137 ( 50 ~; 44 |; 37 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 67 ( 48 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,plain,
$false,
inference(subsumption_resolution,[],[f41,f21]) ).
fof(f21,plain,
in(sK0,cartesian_product2(sK1,sK2)),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
( ~ in(sK0,cartesian_product2(set_intersection2(sK1,sK3),set_intersection2(sK2,sK4)))
& in(sK0,cartesian_product2(sK3,sK4))
& in(sK0,cartesian_product2(sK1,sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f12,f14]) ).
fof(f14,plain,
( ? [X0,X1,X2,X3,X4] :
( ~ in(X0,cartesian_product2(set_intersection2(X1,X3),set_intersection2(X2,X4)))
& in(X0,cartesian_product2(X3,X4))
& in(X0,cartesian_product2(X1,X2)) )
=> ( ~ in(sK0,cartesian_product2(set_intersection2(sK1,sK3),set_intersection2(sK2,sK4)))
& in(sK0,cartesian_product2(sK3,sK4))
& in(sK0,cartesian_product2(sK1,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
? [X0,X1,X2,X3,X4] :
( ~ in(X0,cartesian_product2(set_intersection2(X1,X3),set_intersection2(X2,X4)))
& in(X0,cartesian_product2(X3,X4))
& in(X0,cartesian_product2(X1,X2)) ),
inference(flattening,[],[f11]) ).
fof(f11,plain,
? [X0,X1,X2,X3,X4] :
( ~ in(X0,cartesian_product2(set_intersection2(X1,X3),set_intersection2(X2,X4)))
& in(X0,cartesian_product2(X3,X4))
& in(X0,cartesian_product2(X1,X2)) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( in(X0,cartesian_product2(X3,X4))
& in(X0,cartesian_product2(X1,X2)) )
=> in(X0,cartesian_product2(set_intersection2(X1,X3),set_intersection2(X2,X4))) ),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X0,X1,X2,X3,X4] :
( ( in(X0,cartesian_product2(X3,X4))
& in(X0,cartesian_product2(X1,X2)) )
=> in(X0,cartesian_product2(set_intersection2(X1,X3),set_intersection2(X2,X4))) ),
file('/export/starexec/sandbox2/tmp/tmp.sM76RAYTk9/Vampire---4.8_7785',t137_zfmisc_1) ).
fof(f41,plain,
~ in(sK0,cartesian_product2(sK1,sK2)),
inference(subsumption_resolution,[],[f40,f22]) ).
fof(f22,plain,
in(sK0,cartesian_product2(sK3,sK4)),
inference(cnf_transformation,[],[f15]) ).
fof(f40,plain,
( ~ in(sK0,cartesian_product2(sK3,sK4))
| ~ in(sK0,cartesian_product2(sK1,sK2)) ),
inference(resolution,[],[f37,f34]) ).
fof(f34,plain,
! [X0,X1,X4] :
( in(X4,set_intersection2(X0,X1))
| ~ in(X4,X1)
| ~ in(X4,X0) ),
inference(equality_resolution,[],[f26]) ).
fof(f26,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X1)
| ~ in(X4,X0)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ( set_intersection2(X0,X1) = X2
| ( ( ~ in(sK5(X0,X1,X2),X1)
| ~ in(sK5(X0,X1,X2),X0)
| ~ in(sK5(X0,X1,X2),X2) )
& ( ( in(sK5(X0,X1,X2),X1)
& in(sK5(X0,X1,X2),X0) )
| in(sK5(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X1)
| ~ in(X4,X0) )
& ( ( in(X4,X1)
& in(X4,X0) )
| ~ in(X4,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f18,f19]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) )
=> ( ( ~ in(sK5(X0,X1,X2),X1)
| ~ in(sK5(X0,X1,X2),X0)
| ~ in(sK5(X0,X1,X2),X2) )
& ( ( in(sK5(X0,X1,X2),X1)
& in(sK5(X0,X1,X2),X0) )
| in(sK5(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ( set_intersection2(X0,X1) = X2
| ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X1)
| ~ in(X4,X0) )
& ( ( in(X4,X1)
& in(X4,X0) )
| ~ in(X4,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(rectify,[],[f17]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ( set_intersection2(X0,X1) = X2
| ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( ( in(X3,X1)
& in(X3,X0) )
| ~ in(X3,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(flattening,[],[f16]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ( set_intersection2(X0,X1) = X2
| ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( ( in(X3,X1)
& in(X3,X0) )
| ~ in(X3,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1,X2] :
( set_intersection2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.sM76RAYTk9/Vampire---4.8_7785',d3_xboole_0) ).
fof(f37,plain,
~ in(sK0,set_intersection2(cartesian_product2(sK1,sK2),cartesian_product2(sK3,sK4))),
inference(forward_demodulation,[],[f23,f31]) ).
fof(f31,plain,
! [X2,X3,X0,X1] : cartesian_product2(set_intersection2(X0,X1),set_intersection2(X2,X3)) = set_intersection2(cartesian_product2(X0,X2),cartesian_product2(X1,X3)),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2,X3] : cartesian_product2(set_intersection2(X0,X1),set_intersection2(X2,X3)) = set_intersection2(cartesian_product2(X0,X2),cartesian_product2(X1,X3)),
file('/export/starexec/sandbox2/tmp/tmp.sM76RAYTk9/Vampire---4.8_7785',t123_zfmisc_1) ).
fof(f23,plain,
~ in(sK0,cartesian_product2(set_intersection2(sK1,sK3),set_intersection2(sK2,sK4))),
inference(cnf_transformation,[],[f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET983+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.11 % 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
% 0.11/0.31 % Computer : n024.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.31 % CPULimit : 300
% 0.16/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Tue Apr 30 17:15:21 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.31 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.31 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.sM76RAYTk9/Vampire---4.8_7785
% 0.59/0.81 % (7895)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)
% 0.59/0.81 % (7897)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.81 % (7896)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)
% 0.59/0.81 % (7899)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)
% 0.59/0.81 % (7900)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)
% 0.59/0.81 % (7901)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)
% 0.59/0.81 % (7902)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)
% 0.59/0.81 % (7899)Refutation not found, incomplete strategy% (7899)------------------------------
% 0.59/0.81 % (7899)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.81 % (7899)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.81
% 0.59/0.81 % (7899)Memory used [KB]: 971
% 0.59/0.81 % (7899)Time elapsed: 0.003 s
% 0.59/0.81 % (7899)Instructions burned: 3 (million)
% 0.59/0.81 % (7900)First to succeed.
% 0.59/0.81 % (7899)------------------------------
% 0.59/0.81 % (7899)------------------------------
% 0.59/0.81 % (7898)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)
% 0.59/0.81 % (7902)Refutation not found, incomplete strategy% (7902)------------------------------
% 0.59/0.81 % (7902)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.81 % (7902)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.81
% 0.59/0.81 % (7902)Memory used [KB]: 969
% 0.59/0.81 % (7902)Time elapsed: 0.003 s
% 0.59/0.81 % (7902)Instructions burned: 2 (million)
% 0.59/0.81 % (7902)------------------------------
% 0.59/0.81 % (7902)------------------------------
% 0.59/0.81 % (7901)Also succeeded, but the first one will report.
% 0.59/0.81 % (7900)Refutation found. Thanks to Tanya!
% 0.59/0.81 % SZS status Theorem for Vampire---4
% 0.59/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.81 % (7900)------------------------------
% 0.59/0.81 % (7900)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.81 % (7900)Termination reason: Refutation
% 0.59/0.81
% 0.59/0.81 % (7900)Memory used [KB]: 977
% 0.59/0.81 % (7900)Time elapsed: 0.003 s
% 0.59/0.81 % (7900)Instructions burned: 4 (million)
% 0.59/0.81 % (7900)------------------------------
% 0.59/0.81 % (7900)------------------------------
% 0.59/0.81 % (7893)Success in time 0.484 s
% 0.59/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------