TSTP Solution File: LDA001-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LDA001-1 : 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/sandbox2/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 : Tue May 21 00:37:31 EDT 2024

% Result   : Unsatisfiable 0.40s 0.62s
% Output   : Refutation 0.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   25 (  25 unt;   0 def)
%            Number of atoms       :   25 (  24 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    6 (   6   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f66,plain,
    $false,
    inference(trivial_inequality_removal,[],[f65]) ).

fof(f65,plain,
    f(n2,f(n1,n3)) != f(n2,f(n1,n3)),
    inference(forward_demodulation,[],[f61,f45]) ).

fof(f45,plain,
    f(n1,n3) = f(u,n2),
    inference(forward_demodulation,[],[f41,f3]) ).

fof(f3,axiom,
    n3 = f(n2,n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).

fof(f41,plain,
    f(u,n2) = f(n1,f(n2,n1)),
    inference(superposition,[],[f10,f18]) ).

fof(f18,plain,
    u = f(n1,n2),
    inference(forward_demodulation,[],[f14,f4]) ).

fof(f4,axiom,
    u = f(n2,n2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).

fof(f14,plain,
    f(n2,n2) = f(n1,n2),
    inference(superposition,[],[f6,f2]) ).

fof(f2,axiom,
    n2 = f(n1,n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

fof(f6,plain,
    ! [X0] : f(n1,f(n1,X0)) = f(n2,f(n1,X0)),
    inference(superposition,[],[f1,f2]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : f(X0,f(X1,X2)) = f(f(X0,X1),f(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).

fof(f10,plain,
    ! [X0] : f(n1,f(X0,n1)) = f(f(n1,X0),n2),
    inference(superposition,[],[f1,f2]) ).

fof(f61,plain,
    f(n2,f(n1,n3)) != f(n2,f(u,n2)),
    inference(superposition,[],[f39,f12]) ).

fof(f12,plain,
    ! [X0] : f(n2,f(X0,n2)) = f(f(n2,X0),u),
    inference(superposition,[],[f1,f4]) ).

fof(f39,plain,
    f(n2,f(n1,n3)) != f(f(n2,u),u),
    inference(backward_demodulation,[],[f32,f35]) ).

fof(f35,plain,
    f(u,u) = f(n2,u),
    inference(superposition,[],[f8,f4]) ).

fof(f8,plain,
    ! [X0] : f(n2,f(n2,X0)) = f(u,f(n2,X0)),
    inference(superposition,[],[f1,f4]) ).

fof(f32,plain,
    f(f(u,u),u) != f(n2,f(n1,n3)),
    inference(forward_demodulation,[],[f31,f7]) ).

fof(f7,plain,
    ! [X0] : f(n2,f(n1,X0)) = f(n3,f(n2,X0)),
    inference(superposition,[],[f1,f3]) ).

fof(f31,plain,
    f(f(u,u),u) != f(n3,f(n2,n3)),
    inference(backward_demodulation,[],[f5,f29]) ).

fof(f29,plain,
    ! [X0] : f(n3,f(X0,n3)) = f(f(n3,X0),u),
    inference(superposition,[],[f1,f27]) ).

fof(f27,plain,
    u = f(n3,n3),
    inference(forward_demodulation,[],[f26,f4]) ).

fof(f26,plain,
    f(n2,n2) = f(n3,n3),
    inference(forward_demodulation,[],[f22,f2]) ).

fof(f22,plain,
    f(n2,f(n1,n1)) = f(n3,n3),
    inference(superposition,[],[f7,f3]) ).

fof(f5,axiom,
    f(f(n3,n2),u) != f(f(u,u),u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : LDA001-1 : TPTP v8.2.0. 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/sandbox2/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
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Sat May 18 11:53:07 EDT 2024
% 0.16/0.31  % CPUTime    : 
% 0.16/0.31  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.16/0.31  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
% 0.40/0.61  % (17216)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 (2997ds/56Mi)
% 0.40/0.61  % (17209)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 (2997ds/34Mi)
% 0.40/0.61  % (17211)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2997ds/78Mi)
% 0.40/0.61  % (17216)Refutation not found, incomplete strategy% (17216)------------------------------
% 0.40/0.61  % (17216)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.40/0.61  % (17216)Termination reason: Refutation not found, incomplete strategy
% 0.40/0.61  % (17213)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 (2997ds/34Mi)
% 0.40/0.61  
% 0.40/0.61  % (17216)Memory used [KB]: 948
% 0.40/0.61  % (17214)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2997ds/45Mi)
% 0.40/0.61  % (17216)Time elapsed: 0.001 s
% 0.40/0.61  % (17216)Instructions burned: 2 (million)
% 0.40/0.61  % (17212)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2997ds/33Mi)
% 0.40/0.61  % (17215)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 (2997ds/83Mi)
% 0.40/0.61  % (17216)------------------------------
% 0.40/0.61  % (17216)------------------------------
% 0.40/0.61  % (17209)Refutation not found, incomplete strategy% (17209)------------------------------
% 0.40/0.61  % (17209)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.40/0.61  % (17209)Termination reason: Refutation not found, incomplete strategy
% 0.40/0.61  
% 0.40/0.61  % (17209)Memory used [KB]: 963
% 0.40/0.61  % (17209)Time elapsed: 0.002 s
% 0.40/0.61  % (17209)Instructions burned: 2 (million)
% 0.40/0.61  % (17209)------------------------------
% 0.40/0.61  % (17209)------------------------------
% 0.40/0.61  % (17213)Refutation not found, incomplete strategy% (17213)------------------------------
% 0.40/0.61  % (17213)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.40/0.61  % (17213)Termination reason: Refutation not found, incomplete strategy
% 0.40/0.61  
% 0.40/0.61  % (17213)Memory used [KB]: 962
% 0.40/0.61  % (17213)Time elapsed: 0.002 s
% 0.40/0.61  % (17213)Instructions burned: 2 (million)
% 0.40/0.61  % (17214)Refutation not found, incomplete strategy% (17214)------------------------------
% 0.40/0.61  % (17214)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.40/0.61  % (17212)Refutation not found, incomplete strategy% (17212)------------------------------
% 0.40/0.61  % (17212)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.40/0.61  % (17212)Termination reason: Refutation not found, incomplete strategy
% 0.40/0.61  
% 0.40/0.61  % (17212)Memory used [KB]: 949
% 0.40/0.61  % (17212)Time elapsed: 0.002 s
% 0.40/0.61  % (17212)Instructions burned: 2 (million)
% 0.40/0.61  % (17214)Termination reason: Refutation not found, incomplete strategy
% 0.40/0.61  
% 0.40/0.61  % (17213)------------------------------
% 0.40/0.61  % (17213)------------------------------
% 0.40/0.61  % (17214)Memory used [KB]: 950
% 0.40/0.61  % (17214)Time elapsed: 0.002 s
% 0.40/0.61  % (17214)Instructions burned: 2 (million)
% 0.40/0.61  % (17215)Refutation not found, incomplete strategy% (17215)------------------------------
% 0.40/0.61  % (17215)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.40/0.61  % (17215)Termination reason: Refutation not found, incomplete strategy
% 0.40/0.61  
% 0.40/0.61  % (17215)Memory used [KB]: 949
% 0.40/0.61  % (17215)Time elapsed: 0.002 s
% 0.40/0.61  % (17215)Instructions burned: 2 (million)
% 0.40/0.61  % (17212)------------------------------
% 0.40/0.61  % (17212)------------------------------
% 0.40/0.61  % (17215)------------------------------
% 0.40/0.61  % (17215)------------------------------
% 0.40/0.61  % (17214)------------------------------
% 0.40/0.61  % (17214)------------------------------
% 0.40/0.62  % (17218)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 (2997ds/50Mi)
% 0.40/0.62  % (17210)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 (2997ds/51Mi)
% 0.40/0.62  % (17218)Refutation not found, incomplete strategy% (17218)------------------------------
% 0.40/0.62  % (17218)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.40/0.62  % (17218)Termination reason: Refutation not found, incomplete strategy
% 0.40/0.62  
% 0.40/0.62  % (17218)Memory used [KB]: 947
% 0.40/0.62  % (17218)Time elapsed: 0.001 s
% 0.40/0.62  % (17218)Instructions burned: 2 (million)
% 0.40/0.62  % (17218)------------------------------
% 0.40/0.62  % (17218)------------------------------
% 0.40/0.62  % (17211)First to succeed.
% 0.40/0.62  % (17211)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17208"
% 0.40/0.62  % (17220)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 (2997ds/52Mi)
% 0.40/0.62  % (17221)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 (2997ds/518Mi)
% 0.40/0.62  % (17211)Refutation found. Thanks to Tanya!
% 0.40/0.62  % SZS status Unsatisfiable for theBenchmark
% 0.40/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 0.40/0.62  % (17211)------------------------------
% 0.40/0.62  % (17211)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.40/0.62  % (17211)Termination reason: Refutation
% 0.40/0.62  
% 0.40/0.62  % (17211)Memory used [KB]: 1049
% 0.40/0.62  % (17211)Time elapsed: 0.006 s
% 0.40/0.62  % (17211)Instructions burned: 8 (million)
% 0.40/0.62  % (17208)Success in time 0.3 s
% 0.40/0.62  % Vampire---4.8 exiting
%------------------------------------------------------------------------------