TSTP Solution File: GRP037-3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP037-3 : TPTP v8.1.2. Released v1.0.0.
% 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 : n004.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 : Sun May 5 05:44:25 EDT 2024
% Result : Unsatisfiable 0.55s 0.76s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 25 ( 7 unt; 0 def)
% Number of atoms : 49 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 52 ( 28 ~; 22 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f269,plain,
$false,
inference(avatar_sat_refutation,[],[f235,f262,f268]) ).
fof(f268,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f264]) ).
fof(f264,plain,
( $false
| ~ spl0_7 ),
inference(resolution,[],[f254,f17]) ).
fof(f17,axiom,
subgroup_member(a),
file('/export/starexec/sandbox2/tmp/tmp.xMd9yw9fQ3/Vampire---4.8_15144',a_is_in_subgroup) ).
fof(f254,plain,
( ! [X0] : ~ subgroup_member(X0)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f253,plain,
( spl0_7
<=> ! [X0] : ~ subgroup_member(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f262,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f102,f40,f253]) ).
fof(f40,plain,
( spl0_2
<=> identity = another_identity ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f102,plain,
! [X0] :
( identity = another_identity
| ~ subgroup_member(X0) ),
inference(resolution,[],[f22,f2]) ).
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox2/tmp/tmp.xMd9yw9fQ3/Vampire---4.8_15144',right_identity) ).
fof(f22,plain,
! [X0,X1] :
( ~ product(X1,X0,X1)
| another_identity = X0
| ~ subgroup_member(X1) ),
inference(resolution,[],[f15,f11]) ).
fof(f11,axiom,
! [X6] :
( product(X6,another_identity,X6)
| ~ subgroup_member(X6) ),
file('/export/starexec/sandbox2/tmp/tmp.xMd9yw9fQ3/Vampire---4.8_15144',another_right_identity) ).
fof(f15,axiom,
! [X8,X6,X9,X7] :
( ~ product(X6,X9,X8)
| X7 = X9
| ~ product(X6,X7,X8) ),
file('/export/starexec/sandbox2/tmp/tmp.xMd9yw9fQ3/Vampire---4.8_15144',product_right_cancellation) ).
fof(f235,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f234]) ).
fof(f234,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f227,f17]) ).
fof(f227,plain,
( ~ subgroup_member(a)
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f226]) ).
fof(f226,plain,
( inverse(a) != inverse(a)
| ~ subgroup_member(a)
| ~ spl0_2 ),
inference(superposition,[],[f19,f196]) ).
fof(f196,plain,
( ! [X0] :
( inverse(X0) = another_inverse(X0)
| ~ subgroup_member(X0) )
| ~ spl0_2 ),
inference(resolution,[],[f93,f13]) ).
fof(f13,axiom,
! [X6] :
( product(another_inverse(X6),X6,another_identity)
| ~ subgroup_member(X6) ),
file('/export/starexec/sandbox2/tmp/tmp.xMd9yw9fQ3/Vampire---4.8_15144',another_left_inverse) ).
fof(f93,plain,
( ! [X0,X1] :
( ~ product(X0,X1,another_identity)
| inverse(X1) = X0 )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f85,f42]) ).
fof(f42,plain,
( identity = another_identity
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f85,plain,
! [X0,X1] :
( inverse(X1) = X0
| ~ product(X0,X1,identity) ),
inference(resolution,[],[f16,f3]) ).
fof(f3,axiom,
! [X0] : product(inverse(X0),X0,identity),
file('/export/starexec/sandbox2/tmp/tmp.xMd9yw9fQ3/Vampire---4.8_15144',left_inverse) ).
fof(f16,axiom,
! [X8,X6,X9,X7] :
( ~ product(X9,X7,X8)
| X6 = X9
| ~ product(X6,X7,X8) ),
file('/export/starexec/sandbox2/tmp/tmp.xMd9yw9fQ3/Vampire---4.8_15144',product_left_cancellation) ).
fof(f19,axiom,
inverse(a) != another_inverse(a),
file('/export/starexec/sandbox2/tmp/tmp.xMd9yw9fQ3/Vampire---4.8_15144',prove_two_inverses_are_equal) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP037-3 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.14 % 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
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 20:54:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.13/0.35 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.xMd9yw9fQ3/Vampire---4.8_15144
% 0.55/0.76 % (15341)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)
% 0.55/0.76 % (15343)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.55/0.76 % (15344)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)
% 0.55/0.76 % (15342)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)
% 0.55/0.76 % (15346)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)
% 0.55/0.76 % (15345)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)
% 0.55/0.76 % (15347)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)
% 0.55/0.76 % (15348)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)
% 0.55/0.76 % (15342)First to succeed.
% 0.55/0.76 % (15342)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15293"
% 0.55/0.76 % (15343)Also succeeded, but the first one will report.
% 0.55/0.76 % (15342)Refutation found. Thanks to Tanya!
% 0.55/0.76 % SZS status Unsatisfiable for Vampire---4
% 0.55/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.76 % (15342)------------------------------
% 0.55/0.76 % (15342)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (15342)Termination reason: Refutation
% 0.55/0.76
% 0.55/0.76 % (15342)Memory used [KB]: 1096
% 0.55/0.76 % (15342)Time elapsed: 0.004 s
% 0.55/0.76 % (15342)Instructions burned: 8 (million)
% 0.61/0.76 % (15293)Success in time 0.404 s
% 0.61/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------