TSTP Solution File: GRP512-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP512-1 : TPTP v8.2.0. Bugfixed v2.7.0.
% 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 : n013.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 21:10:03 EDT 2024

% Result   : Unsatisfiable 0.63s 0.76s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   14 (  14 unt;   0 def)
%            Number of atoms       :   14 (  13 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   28 (  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f203,plain,
    $false,
    inference(trivial_inequality_removal,[],[f180]) ).

fof(f180,plain,
    multiply(a,b) != multiply(a,b),
    inference(superposition,[],[f2,f143]) ).

fof(f143,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    inference(forward_demodulation,[],[f132,f131]) ).

fof(f131,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f39,f85]) ).

fof(f85,plain,
    ! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
    inference(superposition,[],[f57,f57]) ).

fof(f57,plain,
    ! [X2,X3] : multiply(multiply(X3,X2),inverse(X3)) = X2,
    inference(superposition,[],[f22,f25]) ).

fof(f25,plain,
    ! [X2,X0,X1] : inverse(multiply(X1,multiply(X0,inverse(multiply(multiply(X1,X0),X2))))) = X2,
    inference(superposition,[],[f3,f4]) ).

fof(f4,plain,
    ! [X2,X0,X1] : multiply(X1,inverse(multiply(multiply(X0,X1),inverse(multiply(X0,X2))))) = X2,
    inference(superposition,[],[f1,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : multiply(multiply(multiply(X0,X1),X2),inverse(multiply(X0,X2))) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

fof(f3,plain,
    ! [X2,X3,X0,X1] : inverse(multiply(X0,X2)) = multiply(multiply(X1,X3),inverse(multiply(multiply(multiply(X0,X1),X2),X3))),
    inference(superposition,[],[f1,f1]) ).

fof(f22,plain,
    ! [X2,X0,X1] : inverse(multiply(X0,X2)) = multiply(multiply(X1,inverse(multiply(X0,X2))),inverse(X1)),
    inference(superposition,[],[f3,f1]) ).

fof(f39,plain,
    ! [X2,X0,X1] : inverse(multiply(multiply(X2,X0),inverse(multiply(X2,multiply(X0,X1))))) = X1,
    inference(superposition,[],[f25,f3]) ).

fof(f132,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,inverse(inverse(X0))),
    inference(superposition,[],[f4,f85]) ).

fof(f2,axiom,
    multiply(a,b) != multiply(b,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14  % Problem    : GRP512-1 : TPTP v8.2.0. Bugfixed v2.7.0.
% 0.14/0.15  % 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
% 0.16/0.37  % Computer : n013.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Sun May 19 04:14:53 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.16/0.37  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
% 0.57/0.75  % (8228)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)
% 0.57/0.75  % (8229)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)
% 0.57/0.75  % (8230)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)
% 0.57/0.75  % (8232)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)
% 0.57/0.75  % (8231)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)
% 0.57/0.75  % (8228)Refutation not found, incomplete strategy% (8228)------------------------------
% 0.57/0.75  % (8228)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (8228)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (8228)Memory used [KB]: 946
% 0.57/0.75  % (8228)Time elapsed: 0.002 s
% 0.57/0.75  % (8228)Instructions burned: 2 (million)
% 0.57/0.75  % (8230)Refutation not found, incomplete strategy% (8230)------------------------------
% 0.57/0.75  % (8230)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (8230)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (8230)Memory used [KB]: 946
% 0.57/0.75  % (8230)Time elapsed: 0.002 s
% 0.57/0.75  % (8230)Instructions burned: 2 (million)
% 0.57/0.75  % (8232)Refutation not found, incomplete strategy% (8232)------------------------------
% 0.57/0.75  % (8232)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (8229)Refutation not found, incomplete strategy% (8229)------------------------------
% 0.57/0.75  % (8229)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (8232)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (8232)Memory used [KB]: 947
% 0.57/0.75  % (8232)Time elapsed: 0.002 s
% 0.57/0.75  % (8232)Instructions burned: 2 (million)
% 0.57/0.75  % (8229)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (8229)Memory used [KB]: 961
% 0.57/0.75  % (8229)Time elapsed: 0.002 s
% 0.57/0.75  % (8228)------------------------------
% 0.57/0.75  % (8228)------------------------------
% 0.57/0.75  % (8229)Instructions burned: 2 (million)
% 0.57/0.75  % (8230)------------------------------
% 0.57/0.75  % (8230)------------------------------
% 0.57/0.75  % (8225)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)
% 0.57/0.75  % (8231)Refutation not found, incomplete strategy% (8231)------------------------------
% 0.57/0.75  % (8231)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (8232)------------------------------
% 0.57/0.75  % (8232)------------------------------
% 0.57/0.75  % (8231)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (8231)Memory used [KB]: 946
% 0.57/0.75  % (8231)Time elapsed: 0.002 s
% 0.57/0.75  % (8229)------------------------------
% 0.57/0.75  % (8229)------------------------------
% 0.57/0.75  % (8231)Instructions burned: 2 (million)
% 0.57/0.75  % (8231)------------------------------
% 0.57/0.75  % (8231)------------------------------
% 0.57/0.75  % (8225)Refutation not found, incomplete strategy% (8225)------------------------------
% 0.57/0.75  % (8225)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (8225)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (8225)Memory used [KB]: 961
% 0.57/0.75  % (8225)Time elapsed: 0.002 s
% 0.57/0.75  % (8225)Instructions burned: 2 (million)
% 0.57/0.75  % (8225)------------------------------
% 0.57/0.75  % (8225)------------------------------
% 0.57/0.75  % (8227)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.57/0.75  % (8234)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 theBenchmark for (2996ds/50Mi)
% 0.57/0.75  % (8226)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)
% 0.57/0.75  % (8235)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.57/0.75  % (8236)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2996ds/52Mi)
% 0.57/0.75  % (8234)Refutation not found, incomplete strategy% (8234)------------------------------
% 0.57/0.75  % (8234)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (8234)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (8234)Memory used [KB]: 946
% 0.57/0.75  % (8234)Time elapsed: 0.001 s
% 0.57/0.75  % (8233)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 theBenchmark for (2996ds/55Mi)
% 0.57/0.75  % (8234)Instructions burned: 2 (million)
% 0.57/0.75  % (8234)------------------------------
% 0.57/0.75  % (8234)------------------------------
% 0.57/0.75  % (8237)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2996ds/518Mi)
% 0.57/0.75  % (8237)Refutation not found, incomplete strategy% (8237)------------------------------
% 0.57/0.75  % (8237)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (8237)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (8237)Memory used [KB]: 947
% 0.57/0.75  % (8237)Time elapsed: 0.003 s
% 0.57/0.75  % (8237)Instructions burned: 2 (million)
% 0.57/0.75  % (8238)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2996ds/42Mi)
% 0.57/0.75  % (8237)------------------------------
% 0.57/0.75  % (8237)------------------------------
% 0.57/0.75  % (8238)Refutation not found, incomplete strategy% (8238)------------------------------
% 0.57/0.75  % (8238)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (8238)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (8238)Memory used [KB]: 948
% 0.57/0.75  % (8238)Time elapsed: 0.001 s
% 0.57/0.75  % (8238)Instructions burned: 2 (million)
% 0.57/0.75  % (8238)------------------------------
% 0.57/0.75  % (8238)------------------------------
% 0.63/0.76  % (8239)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2996ds/243Mi)
% 0.63/0.76  % (8226)First to succeed.
% 0.63/0.76  % (8226)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8224"
% 0.63/0.76  % (8240)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2996ds/117Mi)
% 0.63/0.76  % (8226)Refutation found. Thanks to Tanya!
% 0.63/0.76  % SZS status Unsatisfiable for theBenchmark
% 0.63/0.76  % SZS output start Proof for theBenchmark
% See solution above
% 0.63/0.76  % (8226)------------------------------
% 0.63/0.76  % (8226)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.76  % (8226)Termination reason: Refutation
% 0.63/0.76  
% 0.63/0.76  % (8226)Memory used [KB]: 1163
% 0.63/0.76  % (8226)Time elapsed: 0.008 s
% 0.63/0.76  % (8226)Instructions burned: 15 (million)
% 0.63/0.76  % (8224)Success in time 0.377 s
% 0.63/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------