TSTP Solution File: GRP044-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP044-2 : TPTP v8.1.0. Released v1.0.0.
% 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 : n024.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 16:13:49 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of formulae    :    9 (   7 unt;   0 def)
%            Number of atoms       :   14 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   12 (   7   ~;   5   |;   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(f95,plain,
    $false,
    inference(subsumption_resolution,[],[f94,f24]) ).

fof(f24,plain,
    product(identity,a,b),
    inference(unit_resulting_resolution,[],[f8,f1,f7]) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X3,X2,X0)
      | ~ equalish(X0,X1)
      | product(X3,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_substitution3) ).

fof(f1,axiom,
    ! [X0] : product(identity,X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).

fof(f8,axiom,
    equalish(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_b) ).

fof(f94,plain,
    ~ product(identity,a,b),
    inference(unit_resulting_resolution,[],[f1,f10,f9,f6]) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X1,X2,X5)
      | product(X4,X2,X3)
      | ~ product(X0,X5,X3)
      | ~ product(X0,X1,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity2) ).

fof(f9,axiom,
    product(a,c,result),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_with_a) ).

fof(f10,axiom,
    ~ product(b,c,result),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_product_with_b) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GRP044-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % 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 : n024.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 22:12:19 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.47  % (20730)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.48  % (20752)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.49  % (20744)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.49  % (20738)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)
% 0.19/0.50  % (20735)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)
% 0.19/0.50  % (20744)First to succeed.
% 0.19/0.50  % (20747)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.50  % (20726)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.50  % (20739)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.51  TRYING [1]
% 0.19/0.51  TRYING [2]
% 0.19/0.51  TRYING [3]
% 0.19/0.51  % (20731)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (20734)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)
% 0.19/0.51  % (20739)Instruction limit reached!
% 0.19/0.51  % (20739)------------------------------
% 0.19/0.51  % (20739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (20739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (20739)Termination reason: Unknown
% 0.19/0.51  % (20739)Termination phase: Finite model building SAT solving
% 0.19/0.51  
% 0.19/0.51  % (20739)Memory used [KB]: 6012
% 0.19/0.51  % (20739)Time elapsed: 0.063 s
% 0.19/0.51  % (20739)Instructions burned: 7 (million)
% 0.19/0.51  % (20739)------------------------------
% 0.19/0.51  % (20739)------------------------------
% 0.19/0.51  % (20736)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.51  % (20746)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)
% 0.19/0.52  % (20744)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (20744)------------------------------
% 0.19/0.52  % (20744)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (20744)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (20744)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (20744)Memory used [KB]: 1407
% 0.19/0.52  % (20744)Time elapsed: 0.112 s
% 0.19/0.52  % (20744)Instructions burned: 5 (million)
% 0.19/0.52  % (20744)------------------------------
% 0.19/0.52  % (20744)------------------------------
% 0.19/0.52  % (20720)Success in time 0.164 s
%------------------------------------------------------------------------------