TSTP Solution File: GRP036-3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP036-3 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n008.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 02:26:01 EDT 2024
% Result : Unsatisfiable 0.60s 0.79s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 24 ( 10 unt; 1 typ; 0 def)
% Number of atoms : 60 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 41 ( 23 ~; 15 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 19 ( 19 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 24 ( 23 !; 0 ?; 23 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_3,type,
sQ0_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f66,plain,
$false,
inference(avatar_sat_refutation,[],[f45,f64,f65]) ).
tff(f65,plain,
~ spl1_1,
inference(avatar_split_clause,[],[f59,f31]) ).
tff(f31,plain,
( spl1_1
<=> subgroup_member(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f59,plain,
~ subgroup_member(identity),
inference(resolution,[],[f50,f11]) ).
tff(f11,axiom,
! [X6: $i] :
( product(X6,another_identity,X6)
| ~ subgroup_member(X6) ),
file('/export/starexec/sandbox/tmp/tmp.t9FMGB4gwv/Vampire---4.8_7425',another_right_identity) ).
tff(f50,plain,
~ product(identity,another_identity,identity),
inference(resolution,[],[f46,f1]) ).
tff(f1,axiom,
! [X0: $i] : product(identity,X0,X0),
file('/export/starexec/sandbox/tmp/tmp.t9FMGB4gwv/Vampire---4.8_7425',left_identity) ).
tff(f46,plain,
! [X0: $i,X1: $i] :
( ~ product(X0,X1,another_identity)
| ~ product(X0,X1,identity) ),
inference(resolution,[],[f19,f18]) ).
tff(f18,plain,
~ sQ0_eqProxy($i,identity,another_identity),
inference(equality_proxy_replacement,[],[f16,f17]) ).
tff(f17,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ0_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
tff(f16,axiom,
identity != another_identity,
file('/export/starexec/sandbox/tmp/tmp.t9FMGB4gwv/Vampire---4.8_7425',prove_identity_equals_another_identity) ).
tff(f19,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( sQ0_eqProxy($i,X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(equality_proxy_replacement,[],[f6,f17]) ).
tff(f6,axiom,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X2 = X3 )
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.t9FMGB4gwv/Vampire---4.8_7425',total_function2) ).
tff(f64,plain,
~ spl1_4,
inference(avatar_contradiction_clause,[],[f62]) ).
tff(f62,plain,
( $false
| ~ spl1_4 ),
inference(resolution,[],[f44,f15]) ).
tff(f15,axiom,
subgroup_member(another_identity),
file('/export/starexec/sandbox/tmp/tmp.t9FMGB4gwv/Vampire---4.8_7425',another_identity_in_subgroup) ).
tff(f44,plain,
( ! [X0: $i] : ~ subgroup_member(X0)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f43]) ).
tff(f43,plain,
( spl1_4
<=> ! [X0] : ~ subgroup_member(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
tff(f45,plain,
( spl1_4
| spl1_1 ),
inference(avatar_split_clause,[],[f29,f31,f43]) ).
tff(f29,plain,
! [X0: $i] :
( subgroup_member(identity)
| ~ subgroup_member(X0) ),
inference(duplicate_literal_removal,[],[f27]) ).
tff(f27,plain,
! [X0: $i] :
( subgroup_member(identity)
| ~ subgroup_member(X0)
| ~ subgroup_member(X0) ),
inference(resolution,[],[f9,f4]) ).
tff(f4,axiom,
! [X0: $i] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox/tmp/tmp.t9FMGB4gwv/Vampire---4.8_7425',right_inverse) ).
tff(f9,axiom,
! [X8: $i,X6: $i,X7: $i] :
( ~ product(X6,inverse(X7),X8)
| subgroup_member(X8)
| ~ subgroup_member(X7)
| ~ subgroup_member(X6) ),
file('/export/starexec/sandbox/tmp/tmp.t9FMGB4gwv/Vampire---4.8_7425',closure_of_product_and_inverse) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP036-3 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.11 % 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 : n008.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
% 0.15/0.31 % CPULimit : 300
% 0.15/0.31 % WCLimit : 300
% 0.15/0.31 % DateTime : Tue Apr 30 18:26:57 EDT 2024
% 0.15/0.31 % CPUTime :
% 0.15/0.31 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.15/0.31 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.t9FMGB4gwv/Vampire---4.8_7425
% 0.60/0.79 % (7540)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)
% 0.60/0.79 % (7541)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)
% 0.60/0.79 % (7537)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)
% 0.60/0.79 % (7539)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.79 % (7538)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)
% 0.60/0.79 % (7542)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)
% 0.60/0.79 % (7543)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)
% 0.60/0.79 % (7544)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)
% 0.60/0.79 % (7537)First to succeed.
% 0.60/0.79 % (7539)Also succeeded, but the first one will report.
% 0.60/0.79 % (7537)Refutation found. Thanks to Tanya!
% 0.60/0.79 % SZS status Unsatisfiable for Vampire---4
% 0.60/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.79 % (7537)------------------------------
% 0.60/0.79 % (7537)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79 % (7537)Termination reason: Refutation
% 0.60/0.79
% 0.60/0.79 % (7537)Memory used [KB]: 1008
% 0.60/0.79 % (7537)Time elapsed: 0.004 s
% 0.60/0.79 % (7537)Instructions burned: 4 (million)
% 0.60/0.79 % (7537)------------------------------
% 0.60/0.79 % (7537)------------------------------
% 0.60/0.79 % (7536)Success in time 0.472 s
% 0.60/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------