TSTP Solution File: GRP012-3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP012-3 : TPTP v8.2.0. 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 : n014.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 : Mon May 20 21:05:10 EDT 2024
% Result : Unsatisfiable 0.56s 0.73s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 22 ( 13 unt; 0 def)
% Number of atoms : 42 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 46 ( 26 ~; 18 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f51,plain,
$false,
inference(unit_resulting_resolution,[],[f2,f5,f42,f11]) ).
fof(f11,plain,
! [X3,X0,X1,X4,X5] :
( ~ sP0(X5,X4,X3,X1)
| ~ product(X0,X1,X4)
| ~ product(X0,X5,X3) ),
inference(general_splitting,[],[f8,f10_D]) ).
fof(f10,plain,
! [X2,X3,X1,X4,X5] :
( ~ product(X1,X2,X5)
| product(X4,X2,X3)
| sP0(X5,X4,X3,X1) ),
inference(cnf_transformation,[],[f10_D]) ).
fof(f10_D,plain,
! [X1,X3,X4,X5] :
( ! [X2] :
( ~ product(X1,X2,X5)
| product(X4,X2,X3) )
<=> ~ sP0(X5,X4,X3,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f8,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/benchmark/theBenchmark.p',associativity2) ).
fof(f42,plain,
sP0(identity,multiply(a,b),a,b),
inference(unit_resulting_resolution,[],[f4,f41,f10]) ).
fof(f41,plain,
~ product(multiply(a,b),inverse(b),a),
inference(unit_resulting_resolution,[],[f1,f37,f12]) ).
fof(f12,plain,
! [X2,X3,X1,X4,X5] :
( ~ product(X1,X2,X5)
| ~ product(X4,X2,X3)
| sP1(X3,X4,X5,X1) ),
inference(cnf_transformation,[],[f12_D]) ).
fof(f12_D,plain,
! [X1,X5,X4,X3] :
( ! [X2] :
( ~ product(X1,X2,X5)
| ~ product(X4,X2,X3) )
<=> ~ sP1(X3,X4,X5,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f37,plain,
~ sP1(inverse(b),identity,a,multiply(a,b)),
inference(unit_resulting_resolution,[],[f3,f32,f13]) ).
fof(f13,plain,
! [X3,X0,X1,X4,X5] :
( ~ sP1(X3,X4,X5,X1)
| ~ product(X0,X1,X4)
| product(X0,X5,X3) ),
inference(general_splitting,[],[f7,f12_D]) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( product(X0,X5,X3)
| ~ product(X4,X2,X3)
| ~ product(X1,X2,X5)
| ~ product(X0,X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity1) ).
fof(f32,plain,
~ product(inverse(multiply(a,b)),a,inverse(b)),
inference(unit_resulting_resolution,[],[f2,f24,f11]) ).
fof(f24,plain,
sP0(identity,inverse(b),inverse(multiply(a,b)),a),
inference(unit_resulting_resolution,[],[f4,f21,f10]) ).
fof(f21,plain,
~ product(inverse(b),inverse(a),inverse(multiply(a,b))),
inference(unit_resulting_resolution,[],[f5,f9,f6]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function2) ).
fof(f9,axiom,
inverse(multiply(a,b)) != multiply(inverse(b),inverse(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_inverse_of_product_is_product_of_inverses) ).
fof(f3,axiom,
! [X0] : product(inverse(X0),X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f4,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
fof(f5,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function1) ).
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP012-3 : TPTP v8.2.0. Released v1.0.0.
% 0.10/0.13 % 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
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 05:27:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.13/0.34 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
% 0.56/0.73 % (15401)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 (2996ds/34Mi)
% 0.56/0.73 % (15403)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 (2996ds/83Mi)
% 0.56/0.73 % (15404)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 (2996ds/56Mi)
% 0.56/0.73 % (15397)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 (2996ds/34Mi)
% 0.56/0.73 % (15399)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.73 % (15400)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.56/0.73 % (15398)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 (2996ds/51Mi)
% 0.56/0.73 % (15397)Refutation not found, incomplete strategy% (15397)------------------------------
% 0.56/0.73 % (15397)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (15397)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (15397)Memory used [KB]: 980
% 0.56/0.73 % (15397)Time elapsed: 0.002 s
% 0.56/0.73 % (15397)Instructions burned: 2 (million)
% 0.56/0.73 % (15403)First to succeed.
% 0.56/0.73 % (15397)------------------------------
% 0.56/0.73 % (15397)------------------------------
% 0.56/0.73 % (15400)Refutation not found, incomplete strategy% (15400)------------------------------
% 0.56/0.73 % (15400)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (15400)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (15400)Memory used [KB]: 970
% 0.56/0.73 % (15400)Time elapsed: 0.003 s
% 0.56/0.73 % (15400)Instructions burned: 2 (million)
% 0.56/0.73 % (15400)------------------------------
% 0.56/0.73 % (15400)------------------------------
% 0.56/0.73 % (15403)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15396"
% 0.56/0.73 % (15403)Refutation found. Thanks to Tanya!
% 0.56/0.73 % SZS status Unsatisfiable for theBenchmark
% 0.56/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.73 % (15403)------------------------------
% 0.56/0.73 % (15403)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (15403)Termination reason: Refutation
% 0.56/0.73
% 0.56/0.73 % (15403)Memory used [KB]: 987
% 0.56/0.73 % (15403)Time elapsed: 0.004 s
% 0.56/0.73 % (15403)Instructions burned: 4 (million)
% 0.56/0.73 % (15396)Success in time 0.382 s
% 0.56/0.73 % Vampire---4.8 exiting
%------------------------------------------------------------------------------