TSTP Solution File: GRP021-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP021-1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n021.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 21:05:13 EDT 2024
% Result : Unsatisfiable 0.56s 0.73s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 11 ( 6 unt; 1 typ; 0 def)
% Number of atoms : 38 ( 3 equ)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 15 ( 9 ~; 5 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 22 ( 22 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 17 ( 16 !; 0 ?; 17 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_2,type,
sQ0_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f21,plain,
$false,
inference(subsumption_resolution,[],[f18,f4]) ).
tff(f4,axiom,
! [X0: $i] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
tff(f18,plain,
~ product(a,inverse(a),identity),
inference(resolution,[],[f17,f5]) ).
tff(f5,axiom,
! [X0: $i,X1: $i] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function1) ).
tff(f17,plain,
! [X0: $i,X1: $i] :
( ~ product(X0,X1,multiply(a,inverse(a)))
| ~ product(X0,X1,identity) ),
inference(resolution,[],[f12,f11]) ).
tff(f11,plain,
~ sQ0_eqProxy($i,identity,multiply(a,inverse(a))),
inference(equality_proxy_replacement,[],[f9,f10]) ).
tff(f10,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ0_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
tff(f9,axiom,
identity != multiply(a,inverse(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_X_times_inverse_X_is_id) ).
tff(f12,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,f10]) ).
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/benchmark/theBenchmark.p',total_function2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP021-1 : TPTP v8.2.0. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun May 19 04:40:53 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.72 % (31808)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.56/0.72 % (31808)Refutation not found, incomplete strategy% (31808)------------------------------
% 0.56/0.72 % (31808)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.72 % (31808)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.72
% 0.56/0.72 % (31808)Memory used [KB]: 964
% 0.56/0.72 % (31808)Time elapsed: 0.001 s
% 0.56/0.72 % (31808)Instructions burned: 2 (million)
% 0.56/0.72 % (31808)------------------------------
% 0.56/0.72 % (31808)------------------------------
% 0.56/0.72 % (31803)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)
% 0.56/0.72 % (31805)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.72 % (31806)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)
% 0.56/0.72 % (31807)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)
% 0.56/0.72 % (31804)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)
% 0.56/0.72 % (31807)Also succeeded, but the first one will report.
% 0.56/0.72 % (31803)First to succeed.
% 0.56/0.72 % (31806)Also succeeded, but the first one will report.
% 0.56/0.72 % (31803)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31802"
% 0.56/0.73 % (31810)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 % (31804)Also succeeded, but the first one will report.
% 0.56/0.73 % (31810)Also succeeded, but the first one will report.
% 0.56/0.73 % (31803)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 % (31803)------------------------------
% 0.56/0.73 % (31803)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (31803)Termination reason: Refutation
% 0.56/0.73
% 0.56/0.73 % (31803)Memory used [KB]: 989
% 0.56/0.73 % (31803)Time elapsed: 0.003 s
% 0.56/0.73 % (31803)Instructions burned: 2 (million)
% 0.56/0.73 % (31802)Success in time 0.372 s
% 0.56/0.73 % Vampire---4.8 exiting
%------------------------------------------------------------------------------