TSTP Solution File: SET971+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET971+1 : TPTP v8.2.0. 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 : n015.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 : Tue May 21 03:14:08 EDT 2024
% Result : Theorem 0.56s 0.78s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 14 unt; 0 def)
% Number of atoms : 32 ( 18 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 9 ~; 2 |; 6 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 28 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f48,plain,
$false,
inference(trivial_inequality_removal,[],[f47]) ).
fof(f47,plain,
cartesian_product2(sK0,sK2) != cartesian_product2(sK0,sK2),
inference(forward_demodulation,[],[f46,f25]) ).
fof(f25,plain,
sK2 = set_intersection2(sK2,sK3),
inference(unit_resulting_resolution,[],[f16,f21]) ).
fof(f21,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| set_intersection2(X0,X1) = X0 ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( set_intersection2(X0,X1) = X0
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( subset(X0,X1)
=> set_intersection2(X0,X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_xboole_1) ).
fof(f16,plain,
subset(sK2,sK3),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
? [X0,X1,X2,X3] :
( cartesian_product2(X0,X2) != set_intersection2(cartesian_product2(X0,X3),cartesian_product2(X1,X2))
& subset(X2,X3)
& subset(X0,X1) ),
inference(flattening,[],[f12]) ).
fof(f12,plain,
? [X0,X1,X2,X3] :
( cartesian_product2(X0,X2) != set_intersection2(cartesian_product2(X0,X3),cartesian_product2(X1,X2))
& subset(X2,X3)
& subset(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( subset(X2,X3)
& subset(X0,X1) )
=> cartesian_product2(X0,X2) = set_intersection2(cartesian_product2(X0,X3),cartesian_product2(X1,X2)) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X0,X1,X2,X3] :
( ( subset(X2,X3)
& subset(X0,X1) )
=> cartesian_product2(X0,X2) = set_intersection2(cartesian_product2(X0,X3),cartesian_product2(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t124_zfmisc_1) ).
fof(f46,plain,
cartesian_product2(sK0,sK2) != cartesian_product2(sK0,set_intersection2(sK2,sK3)),
inference(forward_demodulation,[],[f40,f19]) ).
fof(f19,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f40,plain,
cartesian_product2(sK0,sK2) != cartesian_product2(sK0,set_intersection2(sK3,sK2)),
inference(superposition,[],[f17,f28]) ).
fof(f28,plain,
! [X0,X1] : set_intersection2(cartesian_product2(sK0,X0),cartesian_product2(sK1,X1)) = cartesian_product2(sK0,set_intersection2(X0,X1)),
inference(superposition,[],[f20,f23]) ).
fof(f23,plain,
sK0 = set_intersection2(sK0,sK1),
inference(unit_resulting_resolution,[],[f15,f21]) ).
fof(f15,plain,
subset(sK0,sK1),
inference(cnf_transformation,[],[f13]) ).
fof(f20,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,[],[f6]) ).
fof(f6,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/benchmark/theBenchmark.p',t123_zfmisc_1) ).
fof(f17,plain,
cartesian_product2(sK0,sK2) != set_intersection2(cartesian_product2(sK0,sK3),cartesian_product2(sK1,sK2)),
inference(cnf_transformation,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET971+1 : TPTP v8.2.0. Released v3.2.0.
% 0.10/0.11 % 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 : n015.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
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon May 20 12:03:38 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.32 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/benchmark/theBenchmark.p
% 0.56/0.78 % (10533)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 theBenchmark for (2995ds/34Mi)
% 0.56/0.78 % (10535)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.56/0.78 % (10534)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 theBenchmark for (2995ds/51Mi)
% 0.56/0.78 % (10536)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.56/0.78 % (10537)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 theBenchmark for (2995ds/34Mi)
% 0.56/0.78 % (10540)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.56/0.78 % (10538)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.56/0.78 % (10540)Refutation not found, incomplete strategy% (10540)------------------------------
% 0.56/0.78 % (10540)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.78 % (10537)Refutation not found, incomplete strategy% (10537)------------------------------
% 0.56/0.78 % (10537)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.78 % (10540)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.78
% 0.56/0.78 % (10540)Memory used [KB]: 951
% 0.56/0.78 % (10540)Time elapsed: 0.002 s
% 0.56/0.78 % (10540)Instructions burned: 2 (million)
% 0.56/0.78 % (10537)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.78
% 0.56/0.78 % (10537)Memory used [KB]: 966
% 0.56/0.78 % (10537)Time elapsed: 0.002 s
% 0.56/0.78 % (10537)Instructions burned: 2 (million)
% 0.56/0.78 % (10533)Refutation not found, incomplete strategy% (10533)------------------------------
% 0.56/0.78 % (10533)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.78 % (10533)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.78
% 0.56/0.78 % (10539)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 theBenchmark for (2995ds/83Mi)
% 0.56/0.78 % (10533)Memory used [KB]: 967
% 0.56/0.78 % (10533)Time elapsed: 0.003 s
% 0.56/0.78 % (10533)Instructions burned: 2 (million)
% 0.56/0.78 % (10540)------------------------------
% 0.56/0.78 % (10540)------------------------------
% 0.56/0.78 % (10536)Refutation not found, incomplete strategy% (10536)------------------------------
% 0.56/0.78 % (10536)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.78 % (10537)------------------------------
% 0.56/0.78 % (10537)------------------------------
% 0.56/0.78 % (10536)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.78
% 0.56/0.78 % (10536)Memory used [KB]: 956
% 0.56/0.78 % (10536)Time elapsed: 0.003 s
% 0.56/0.78 % (10536)Instructions burned: 2 (million)
% 0.56/0.78 % (10538)Refutation not found, incomplete strategy% (10538)------------------------------
% 0.56/0.78 % (10538)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.78 % (10533)------------------------------
% 0.56/0.78 % (10533)------------------------------
% 0.56/0.78 % (10538)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.78
% 0.56/0.78 % (10538)Memory used [KB]: 956
% 0.56/0.78 % (10538)Time elapsed: 0.003 s
% 0.56/0.78 % (10538)Instructions burned: 2 (million)
% 0.56/0.78 % (10536)------------------------------
% 0.56/0.78 % (10536)------------------------------
% 0.56/0.78 % (10538)------------------------------
% 0.56/0.78 % (10538)------------------------------
% 0.56/0.78 % (10539)First to succeed.
% 0.56/0.78 % (10535)Also succeeded, but the first one will report.
% 0.56/0.78 % (10539)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10532"
% 0.56/0.78 % (10539)Refutation found. Thanks to Tanya!
% 0.56/0.78 % SZS status Theorem for theBenchmark
% 0.56/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.78 % (10539)------------------------------
% 0.56/0.78 % (10539)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.78 % (10539)Termination reason: Refutation
% 0.56/0.78
% 0.56/0.78 % (10539)Memory used [KB]: 1033
% 0.56/0.78 % (10539)Time elapsed: 0.004 s
% 0.56/0.78 % (10539)Instructions burned: 4 (million)
% 0.56/0.78 % (10532)Success in time 0.46 s
% 0.56/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------