TSTP Solution File: SET971+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET971+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n010.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 03:49:39 EDT 2024
% Result : Theorem 0.61s 0.80s
% Output : Refutation 0.61s
% 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/sandbox/tmp/tmp.fO57T1ROzd/Vampire---4.8_25750',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/sandbox/tmp/tmp.fO57T1ROzd/Vampire---4.8_25750',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/sandbox/tmp/tmp.fO57T1ROzd/Vampire---4.8_25750',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/sandbox/tmp/tmp.fO57T1ROzd/Vampire---4.8_25750',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
% 0.04/0.09 % Problem : SET971+1 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.11 % 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
% 0.10/0.31 % Computer : n010.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 17:01:49 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 This is a FOF_THM_RFO_SEQ problem
% 0.10/0.31 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.fO57T1ROzd/Vampire---4.8_25750
% 0.61/0.80 % (25867)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)
% 0.61/0.80 % (25865)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)
% 0.61/0.80 % (25864)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.80 % (25866)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)
% 0.61/0.80 % (25862)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)
% 0.61/0.80 % (25863)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)
% 0.61/0.80 % (25868)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)
% 0.61/0.80 % (25869)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)
% 0.61/0.80 % (25866)Refutation not found, incomplete strategy% (25866)------------------------------
% 0.61/0.80 % (25866)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (25866)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (25866)Memory used [KB]: 965
% 0.61/0.80 % (25866)Time elapsed: 0.003 s
% 0.61/0.80 % (25866)Instructions burned: 2 (million)
% 0.61/0.80 % (25866)------------------------------
% 0.61/0.80 % (25866)------------------------------
% 0.61/0.80 % (25862)Refutation not found, incomplete strategy% (25862)------------------------------
% 0.61/0.80 % (25862)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (25862)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (25862)Memory used [KB]: 966
% 0.61/0.80 % (25862)Time elapsed: 0.003 s
% 0.61/0.80 % (25862)Instructions burned: 2 (million)
% 0.61/0.80 % (25862)------------------------------
% 0.61/0.80 % (25862)------------------------------
% 0.61/0.80 % (25869)Refutation not found, incomplete strategy% (25869)------------------------------
% 0.61/0.80 % (25869)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (25865)Refutation not found, incomplete strategy% (25865)------------------------------
% 0.61/0.80 % (25865)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (25869)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (25869)Memory used [KB]: 951
% 0.61/0.80 % (25869)Time elapsed: 0.002 s
% 0.61/0.80 % (25869)Instructions burned: 2 (million)
% 0.61/0.80 % (25869)------------------------------
% 0.61/0.80 % (25869)------------------------------
% 0.61/0.80 % (25865)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (25865)Memory used [KB]: 956
% 0.61/0.80 % (25865)Time elapsed: 0.003 s
% 0.61/0.80 % (25865)Instructions burned: 2 (million)
% 0.61/0.80 % (25865)------------------------------
% 0.61/0.80 % (25865)------------------------------
% 0.61/0.80 % (25867)Refutation not found, incomplete strategy% (25867)------------------------------
% 0.61/0.80 % (25867)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (25867)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (25867)Memory used [KB]: 956
% 0.61/0.80 % (25867)Time elapsed: 0.003 s
% 0.61/0.80 % (25867)Instructions burned: 2 (million)
% 0.61/0.80 % (25867)------------------------------
% 0.61/0.80 % (25867)------------------------------
% 0.61/0.80 % (25868)First to succeed.
% 0.61/0.80 % (25868)Refutation found. Thanks to Tanya!
% 0.61/0.80 % SZS status Theorem for Vampire---4
% 0.61/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.80 % (25868)------------------------------
% 0.61/0.80 % (25868)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (25868)Termination reason: Refutation
% 0.61/0.80
% 0.61/0.80 % (25868)Memory used [KB]: 1032
% 0.61/0.80 % (25868)Time elapsed: 0.004 s
% 0.61/0.80 % (25868)Instructions burned: 4 (million)
% 0.61/0.80 % (25868)------------------------------
% 0.61/0.80 % (25868)------------------------------
% 0.61/0.80 % (25860)Success in time 0.485 s
% 0.61/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------