TSTP Solution File: FLD030-4 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : FLD030-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n005.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 : Wed Aug 31 16:05:35 EDT 2022

% Result   : Unsatisfiable 1.35s 0.54s
% Output   : Refutation 1.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   11 (   7 unt;   0 def)
%            Number of atoms       :   18 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   18 (  11   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f90,plain,
    $false,
    inference(subsumption_resolution,[],[f85,f32]) ).

fof(f32,axiom,
    product(multiplicative_identity,a,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_6) ).

fof(f85,plain,
    ~ product(multiplicative_identity,a,d),
    inference(resolution,[],[f79,f38]) ).

fof(f38,plain,
    product(multiplicative_identity,c,c),
    inference(resolution,[],[f8,f29]) ).

fof(f29,axiom,
    defined(c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).

fof(f8,axiom,
    ! [X0] :
      ( ~ defined(X0)
      | product(multiplicative_identity,X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).

fof(f79,plain,
    ! [X0] :
      ( ~ product(X0,c,c)
      | ~ product(X0,a,d) ),
    inference(resolution,[],[f56,f31]) ).

fof(f31,axiom,
    product(a,b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_5) ).

fof(f56,plain,
    ! [X2,X0,X1] :
      ( ~ product(X1,b,X2)
      | ~ product(X0,X1,d)
      | ~ product(X0,X2,c) ),
    inference(resolution,[],[f7,f33]) ).

fof(f33,axiom,
    ~ product(d,b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_7) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( product(X4,X5,X2)
      | ~ product(X0,X3,X4)
      | ~ product(X0,X1,X2)
      | ~ product(X3,X5,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_multiplication_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : FLD030-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n005.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   : Mon Aug 29 20:36:33 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.53  % (30244)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53  % (30243)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.35/0.53  % (30261)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 1.35/0.53  % (30249)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.35/0.53  % (30253)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 1.35/0.54  % (30247)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.35/0.54  % (30250)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 1.35/0.54  % (30247)Instruction limit reached!
% 1.35/0.54  % (30247)------------------------------
% 1.35/0.54  % (30247)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.54  % (30247)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.54  % (30247)Termination reason: Unknown
% 1.35/0.54  % (30247)Termination phase: Saturation
% 1.35/0.54  
% 1.35/0.54  % (30247)Memory used [KB]: 5884
% 1.35/0.54  % (30247)Time elapsed: 0.133 s
% 1.35/0.54  % (30247)Instructions burned: 3 (million)
% 1.35/0.54  % (30247)------------------------------
% 1.35/0.54  % (30247)------------------------------
% 1.35/0.54  % (30248)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.35/0.54  % (30250)First to succeed.
% 1.35/0.54  % (30240)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.35/0.54  % (30248)Also succeeded, but the first one will report.
% 1.35/0.54  % (30250)Refutation found. Thanks to Tanya!
% 1.35/0.54  % SZS status Unsatisfiable for theBenchmark
% 1.35/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.35/0.54  % (30250)------------------------------
% 1.35/0.54  % (30250)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.54  % (30250)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.54  % (30250)Termination reason: Refutation
% 1.35/0.54  
% 1.35/0.54  % (30250)Memory used [KB]: 5884
% 1.35/0.54  % (30250)Time elapsed: 0.134 s
% 1.35/0.54  % (30250)Instructions burned: 4 (million)
% 1.35/0.54  % (30250)------------------------------
% 1.35/0.54  % (30250)------------------------------
% 1.35/0.54  % (30238)Success in time 0.186 s
%------------------------------------------------------------------------------