TSTP Solution File: GRP709-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP709-1 : TPTP v8.2.0. Released v4.0.0.
% 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 : n019.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 21:12:36 EDT 2024

% Result   : Unsatisfiable 0.58s 0.75s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   17 (  17 unt;   0 def)
%            Number of atoms       :   17 (  10 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f452,plain,
    $false,
    inference(subsumption_resolution,[],[f451,f448]) ).

fof(f448,plain,
    ~ sP0(mult(op_c,mult(op_c,mult(a,b)))),
    inference(backward_demodulation,[],[f11,f447]) ).

fof(f447,plain,
    ! [X0,X1] : mult(mult(X0,X0),X1) = mult(X0,mult(X0,X1)),
    inference(forward_demodulation,[],[f402,f6]) ).

fof(f6,axiom,
    ! [X0] : mult(unit,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).

fof(f402,plain,
    ! [X0,X1] : mult(X0,mult(unit,mult(X0,X1))) = mult(mult(X0,X0),X1),
    inference(superposition,[],[f7,f6]) ).

fof(f7,axiom,
    ! [X2,X0,X1] : mult(X0,mult(X1,mult(X0,X2))) = mult(mult(X0,mult(X1,X0)),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).

fof(f11,plain,
    ~ sP0(mult(mult(op_c,op_c),mult(a,b))),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f451,plain,
    sP0(mult(op_c,mult(op_c,mult(a,b)))),
    inference(forward_demodulation,[],[f450,f150]) ).

fof(f150,plain,
    ! [X0,X1] : mult(op_c,mult(X1,X0)) = mult(X1,mult(op_c,X0)),
    inference(superposition,[],[f109,f8]) ).

fof(f8,axiom,
    ! [X0] : mult(op_c,X0) = mult(X0,op_c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).

fof(f109,plain,
    ! [X0,X1] : mult(X0,mult(X1,op_c)) = mult(op_c,mult(X0,X1)),
    inference(superposition,[],[f9,f8]) ).

fof(f9,axiom,
    ! [X0,X1] : mult(X0,mult(X1,op_c)) = mult(mult(X0,X1),op_c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c09) ).

fof(f450,plain,
    sP0(mult(op_c,mult(a,mult(op_c,b)))),
    inference(forward_demodulation,[],[f449,f395]) ).

fof(f395,plain,
    ! [X0,X1] : mult(op_c,mult(X0,mult(op_c,X1))) = mult(mult(op_c,mult(op_c,X0)),X1),
    inference(superposition,[],[f7,f8]) ).

fof(f449,plain,
    sP0(mult(mult(op_c,mult(op_c,a)),b)),
    inference(backward_demodulation,[],[f12,f447]) ).

fof(f12,plain,
    sP0(mult(mult(mult(op_c,op_c),a),b)),
    inference(inequality_splitting,[],[f10,f11]) ).

fof(f10,axiom,
    mult(mult(op_c,op_c),mult(a,b)) != mult(mult(mult(op_c,op_c),a),b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP709-1 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.14  % 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
% 0.14/0.35  % Computer : n019.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   : Sun May 19 05:16:53 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.14/0.36  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
% 0.52/0.74  % (3463)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)
% 0.58/0.74  % (3463)Refutation not found, incomplete strategy% (3463)------------------------------
% 0.58/0.74  % (3463)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74  % (3463)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74  
% 0.58/0.74  % (3463)Memory used [KB]: 951
% 0.58/0.74  % (3463)Time elapsed: 0.001 s
% 0.58/0.74  % (3463)Instructions burned: 2 (million)
% 0.58/0.74  % (3463)------------------------------
% 0.58/0.74  % (3463)------------------------------
% 0.58/0.74  % (3456)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)
% 0.58/0.74  % (3458)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.58/0.74  % (3459)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)
% 0.58/0.74  % (3460)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)
% 0.58/0.74  % (3461)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)
% 0.58/0.74  % (3462)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)
% 0.58/0.74  % (3457)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)
% 0.58/0.74  % (3456)Refutation not found, incomplete strategy% (3456)------------------------------
% 0.58/0.74  % (3456)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74  % (3460)Refutation not found, incomplete strategy% (3460)------------------------------
% 0.58/0.74  % (3460)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74  % (3460)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74  
% 0.58/0.74  % (3460)Memory used [KB]: 966
% 0.58/0.74  % (3460)Time elapsed: 0.002 s
% 0.58/0.74  % (3460)Instructions burned: 2 (million)
% 0.58/0.74  % (3456)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74  
% 0.58/0.74  % (3456)Memory used [KB]: 964
% 0.58/0.74  % (3456)Time elapsed: 0.002 s
% 0.58/0.74  % (3456)Instructions burned: 2 (million)
% 0.58/0.74  % (3461)Refutation not found, incomplete strategy% (3461)------------------------------
% 0.58/0.74  % (3461)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74  % (3461)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74  
% 0.58/0.74  % (3459)Refutation not found, incomplete strategy% (3459)------------------------------
% 0.58/0.74  % (3459)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74  % (3461)Memory used [KB]: 951
% 0.58/0.74  % (3461)Time elapsed: 0.002 s
% 0.58/0.74  % (3459)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74  
% 0.58/0.74  % (3461)Instructions burned: 2 (million)
% 0.58/0.74  % (3459)Memory used [KB]: 953
% 0.58/0.74  % (3459)Time elapsed: 0.002 s
% 0.58/0.74  % (3459)Instructions burned: 2 (million)
% 0.58/0.74  % (3460)------------------------------
% 0.58/0.74  % (3460)------------------------------
% 0.58/0.74  % (3462)Refutation not found, incomplete strategy% (3462)------------------------------
% 0.58/0.74  % (3462)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74  % (3462)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74  
% 0.58/0.74  % (3461)------------------------------
% 0.58/0.74  % (3461)------------------------------
% 0.58/0.74  % (3462)Memory used [KB]: 953
% 0.58/0.74  % (3459)------------------------------
% 0.58/0.74  % (3459)------------------------------
% 0.58/0.74  % (3462)Time elapsed: 0.003 s
% 0.58/0.74  % (3462)Instructions burned: 2 (million)
% 0.58/0.74  % (3456)------------------------------
% 0.58/0.74  % (3456)------------------------------
% 0.58/0.74  % (3462)------------------------------
% 0.58/0.74  % (3462)------------------------------
% 0.58/0.74  % (3464)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)
% 0.58/0.74  % (3465)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)
% 0.58/0.74  % (3466)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)
% 0.58/0.74  % (3467)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)
% 0.58/0.74  % (3468)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)
% 0.58/0.74  % (3469)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)
% 0.58/0.75  % (3465)Refutation not found, incomplete strategy% (3465)------------------------------
% 0.58/0.75  % (3465)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (3465)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (3465)Memory used [KB]: 949
% 0.58/0.75  % (3465)Time elapsed: 0.002 s
% 0.58/0.75  % (3465)Instructions burned: 2 (million)
% 0.58/0.75  % (3468)Refutation not found, incomplete strategy% (3468)------------------------------
% 0.58/0.75  % (3468)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (3468)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  % (3465)------------------------------
% 0.58/0.75  % (3465)------------------------------
% 0.58/0.75  
% 0.58/0.75  % (3468)Memory used [KB]: 952
% 0.58/0.75  % (3468)Time elapsed: 0.003 s
% 0.58/0.75  % (3469)Refutation not found, incomplete strategy% (3469)------------------------------
% 0.58/0.75  % (3469)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (3469)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (3469)Memory used [KB]: 952
% 0.58/0.75  % (3469)Time elapsed: 0.002 s
% 0.58/0.75  % (3469)Instructions burned: 2 (million)
% 0.58/0.75  % (3468)Instructions burned: 2 (million)
% 0.58/0.75  % (3469)------------------------------
% 0.58/0.75  % (3469)------------------------------
% 0.58/0.75  % (3468)------------------------------
% 0.58/0.75  % (3468)------------------------------
% 0.58/0.75  % (3464)First to succeed.
% 0.58/0.75  % (3470)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)
% 0.58/0.75  % (3471)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)
% 0.58/0.75  % (3464)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3455"
% 0.58/0.75  % (3472)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2996ds/143Mi)
% 0.58/0.75  % (3464)Refutation found. Thanks to Tanya!
% 0.58/0.75  % SZS status Unsatisfiable for theBenchmark
% 0.58/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 0.58/0.75  % (3464)------------------------------
% 0.58/0.75  % (3464)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (3464)Termination reason: Refutation
% 0.58/0.75  
% 0.58/0.75  % (3464)Memory used [KB]: 1154
% 0.58/0.75  % (3464)Time elapsed: 0.010 s
% 0.58/0.75  % (3464)Instructions burned: 26 (million)
% 0.58/0.75  % (3455)Success in time 0.385 s
% 0.58/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------