TSTP Solution File: GRP035-3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP035-3 : 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 : n025.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 0.58s 0.75s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 43 ( 16 unt; 0 def)
% Number of atoms : 85 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 85 ( 43 ~; 39 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f369,plain,
$false,
inference(avatar_sat_refutation,[],[f350,f354,f358,f367]) ).
fof(f367,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f364]) ).
fof(f364,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f27,f10]) ).
fof(f10,axiom,
subgroup_member(a),
file('/export/starexec/sandbox2/tmp/tmp.1zFI6DlpeV/Vampire---4.8_26566',a_is_in_subgroup) ).
fof(f27,plain,
( ! [X0] : ~ subgroup_member(X0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f26,plain,
( spl0_1
<=> ! [X0] : ~ subgroup_member(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f358,plain,
( ~ spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f98,f34,f29]) ).
fof(f29,plain,
( spl0_2
<=> subgroup_member(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f34,plain,
( spl0_3
<=> ! [X0] :
( subgroup_member(inverse(X0))
| ~ subgroup_member(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f98,plain,
! [X0] :
( subgroup_member(inverse(X0))
| ~ subgroup_member(X0)
| ~ subgroup_member(identity) ),
inference(superposition,[],[f21,f60]) ).
fof(f60,plain,
! [X0] : multiply(identity,X0) = X0,
inference(resolution,[],[f17,f5]) ).
fof(f5,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/tmp/tmp.1zFI6DlpeV/Vampire---4.8_26566',total_function1) ).
fof(f17,plain,
! [X0,X1] :
( ~ product(identity,X1,X0)
| X0 = X1 ),
inference(resolution,[],[f6,f1]) ).
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.1zFI6DlpeV/Vampire---4.8_26566',left_identity) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| X2 = X3
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.1zFI6DlpeV/Vampire---4.8_26566',total_function2) ).
fof(f21,plain,
! [X0,X1] :
( subgroup_member(multiply(X0,inverse(X1)))
| ~ subgroup_member(X1)
| ~ subgroup_member(X0) ),
inference(resolution,[],[f9,f5]) ).
fof(f9,axiom,
! [X8,X6,X7] :
( ~ product(X6,inverse(X7),X8)
| subgroup_member(X8)
| ~ subgroup_member(X7)
| ~ subgroup_member(X6) ),
file('/export/starexec/sandbox2/tmp/tmp.1zFI6DlpeV/Vampire---4.8_26566',closure_of_product_and_inverse) ).
fof(f354,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f100,f29,f26]) ).
fof(f100,plain,
! [X0] :
( subgroup_member(identity)
| ~ subgroup_member(X0) ),
inference(duplicate_literal_removal,[],[f96]) ).
fof(f96,plain,
! [X0] :
( subgroup_member(identity)
| ~ subgroup_member(X0)
| ~ subgroup_member(X0) ),
inference(superposition,[],[f21,f63]) ).
fof(f63,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(resolution,[],[f15,f5]) ).
fof(f15,plain,
! [X0,X1] :
( ~ product(X1,inverse(X1),X0)
| identity = X0 ),
inference(resolution,[],[f6,f4]) ).
fof(f4,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox2/tmp/tmp.1zFI6DlpeV/Vampire---4.8_26566',right_inverse) ).
fof(f350,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f347]) ).
fof(f347,plain,
( $false
| ~ spl0_3 ),
inference(resolution,[],[f346,f13]) ).
fof(f13,axiom,
~ subgroup_member(c),
file('/export/starexec/sandbox2/tmp/tmp.1zFI6DlpeV/Vampire---4.8_26566',prove_c_is_in_subgroup) ).
fof(f346,plain,
( subgroup_member(c)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f343,f42]) ).
fof(f42,plain,
c = multiply(a,b),
inference(resolution,[],[f19,f5]) ).
fof(f19,plain,
! [X0] :
( ~ product(a,b,X0)
| c = X0 ),
inference(resolution,[],[f6,f12]) ).
fof(f12,axiom,
product(a,b,c),
file('/export/starexec/sandbox2/tmp/tmp.1zFI6DlpeV/Vampire---4.8_26566',a_times_b_is_c) ).
fof(f343,plain,
( subgroup_member(multiply(a,b))
| ~ spl0_3 ),
inference(resolution,[],[f333,f11]) ).
fof(f11,axiom,
subgroup_member(b),
file('/export/starexec/sandbox2/tmp/tmp.1zFI6DlpeV/Vampire---4.8_26566',b_is_in_subgroup) ).
fof(f333,plain,
( ! [X0] :
( ~ subgroup_member(X0)
| subgroup_member(multiply(a,X0)) )
| ~ spl0_3 ),
inference(resolution,[],[f322,f10]) ).
fof(f322,plain,
( ! [X0,X1] :
( ~ subgroup_member(X0)
| subgroup_member(multiply(X0,X1))
| ~ subgroup_member(X1) )
| ~ spl0_3 ),
inference(resolution,[],[f208,f35]) ).
fof(f35,plain,
( ! [X0] :
( subgroup_member(inverse(X0))
| ~ subgroup_member(X0) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f208,plain,
! [X0,X1] :
( ~ subgroup_member(inverse(X0))
| subgroup_member(multiply(X1,X0))
| ~ subgroup_member(X1) ),
inference(superposition,[],[f21,f187]) ).
fof(f187,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(resolution,[],[f182,f14]) ).
fof(f14,plain,
! [X0,X1] :
( ~ product(X1,identity,X0)
| X0 = X1 ),
inference(resolution,[],[f6,f2]) ).
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox2/tmp/tmp.1zFI6DlpeV/Vampire---4.8_26566',right_identity) ).
fof(f182,plain,
! [X0] : product(X0,identity,inverse(inverse(X0))),
inference(resolution,[],[f169,f4]) ).
fof(f169,plain,
! [X2,X0,X1] :
( ~ product(inverse(X0),X1,X2)
| product(X0,X2,X1) ),
inference(resolution,[],[f105,f4]) ).
fof(f105,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,X3,identity)
| ~ product(X3,X2,X1)
| product(X0,X1,X2) ),
inference(resolution,[],[f7,f1]) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X2,X3)
| product(X0,X5,X3)
| ~ product(X1,X2,X5)
| ~ product(X0,X1,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.1zFI6DlpeV/Vampire---4.8_26566',associativity1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP035-3 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14 % 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
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 20:47:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.14/0.35 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.1zFI6DlpeV/Vampire---4.8_26566
% 0.58/0.73 % (26682)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 (2996ds/83Mi)
% 0.58/0.74 % (26676)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 (2996ds/34Mi)
% 0.58/0.74 % (26678)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.74 % (26677)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 (2996ds/51Mi)
% 0.58/0.74 % (26680)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 (2996ds/34Mi)
% 0.58/0.74 % (26679)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.74 % (26681)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.74 % (26681)Refutation not found, incomplete strategy% (26681)------------------------------
% 0.58/0.74 % (26681)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74 % (26681)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74
% 0.58/0.74 % (26681)Memory used [KB]: 976
% 0.58/0.74 % (26681)Time elapsed: 0.002 s
% 0.58/0.74 % (26679)Refutation not found, incomplete strategy% (26679)------------------------------
% 0.58/0.74 % (26679)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74 % (26679)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74
% 0.58/0.74 % (26679)Memory used [KB]: 980
% 0.58/0.74 % (26679)Time elapsed: 0.002 s
% 0.58/0.74 % (26679)Instructions burned: 2 (million)
% 0.58/0.74 % (26681)Instructions burned: 2 (million)
% 0.58/0.74 % (26679)------------------------------
% 0.58/0.74 % (26679)------------------------------
% 0.58/0.74 % (26681)------------------------------
% 0.58/0.74 % (26681)------------------------------
% 0.58/0.74 % (26683)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 (2996ds/56Mi)
% 0.58/0.74 % (26685)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.58/0.74 % (26683)Refutation not found, incomplete strategy% (26683)------------------------------
% 0.58/0.74 % (26683)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74 % (26683)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74
% 0.58/0.74 % (26683)Memory used [KB]: 976
% 0.58/0.74 % (26683)Time elapsed: 0.002 s
% 0.58/0.74 % (26683)Instructions burned: 2 (million)
% 0.58/0.74 % (26683)------------------------------
% 0.58/0.74 % (26683)------------------------------
% 0.58/0.74 % (26684)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.58/0.74 % (26684)Refutation not found, incomplete strategy% (26684)------------------------------
% 0.58/0.74 % (26684)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74 % (26684)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74
% 0.58/0.74 % (26684)Memory used [KB]: 980
% 0.58/0.74 % (26684)Time elapsed: 0.002 s
% 0.58/0.74 % (26684)Instructions burned: 2 (million)
% 0.58/0.74 % (26684)------------------------------
% 0.58/0.74 % (26684)------------------------------
% 0.58/0.74 % (26677)First to succeed.
% 0.58/0.75 % (26677)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26674"
% 0.58/0.75 % (26686)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.58/0.75 % (26677)Refutation found. Thanks to Tanya!
% 0.58/0.75 % SZS status Unsatisfiable for Vampire---4
% 0.58/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.75 % (26677)------------------------------
% 0.58/0.75 % (26677)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (26677)Termination reason: Refutation
% 0.58/0.75
% 0.58/0.75 % (26677)Memory used [KB]: 1112
% 0.58/0.75 % (26677)Time elapsed: 0.011 s
% 0.58/0.75 % (26677)Instructions burned: 14 (million)
% 0.58/0.75 % (26674)Success in time 0.384 s
% 0.58/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------