TSTP Solution File: FLD025-5 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : FLD025-5 : 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 : n029.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 16:05:32 EDT 2022

% Result   : Unsatisfiable 0.21s 0.59s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   19 (  10 unt;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   33 (  17   ~;  16   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f183,plain,
    $false,
    inference(subsumption_resolution,[],[f182,f37]) ).

fof(f37,axiom,
    ~ product(multiplicative_identity,u,v),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_11) ).

fof(f182,plain,
    product(multiplicative_identity,u,v),
    inference(resolution,[],[f144,f34]) ).

fof(f34,axiom,
    product(multiplicative_identity,c,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_8) ).

fof(f144,plain,
    ! [X0] :
      ( ~ product(X0,c,d)
      | product(X0,u,v) ),
    inference(resolution,[],[f141,f47]) ).

fof(f47,plain,
    ! [X2,X0,X1] :
      ( ~ product(X1,b,X2)
      | ~ product(X0,X1,d)
      | product(X0,X2,v) ),
    inference(resolution,[],[f36,f6]) ).

fof(f6,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_1) ).

fof(f36,axiom,
    product(d,b,v),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_10) ).

fof(f141,plain,
    product(c,b,u),
    inference(resolution,[],[f135,f10]) ).

fof(f10,axiom,
    ! [X3,X0,X5] :
      ( ~ product(X0,X3,X5)
      | product(X3,X0,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_multiplication) ).

fof(f135,plain,
    product(b,c,u),
    inference(resolution,[],[f119,f33]) ).

fof(f33,axiom,
    product(multiplicative_identity,a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_7) ).

fof(f119,plain,
    ! [X0] :
      ( ~ product(multiplicative_identity,a,X0)
      | product(X0,c,u) ),
    inference(subsumption_resolution,[],[f118,f31]) ).

fof(f31,axiom,
    defined(u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_is_defined) ).

fof(f118,plain,
    ! [X0] :
      ( ~ defined(u)
      | product(X0,c,u)
      | ~ product(multiplicative_identity,a,X0) ),
    inference(resolution,[],[f45,f8]) ).

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

fof(f45,plain,
    ! [X3,X4,X5] :
      ( ~ product(X3,u,X4)
      | ~ product(X3,a,X5)
      | product(X5,c,X4) ),
    inference(resolution,[],[f35,f7]) ).

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

fof(f35,axiom,
    product(a,c,u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_9) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : FLD025-5 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 20:45:41 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.57  % (29834)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)
% 0.21/0.57  % (29846)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)
% 0.21/0.57  % (29838)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)
% 0.21/0.57  % (29830)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)
% 0.21/0.58  % (29842)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.58  % (29850)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.21/0.58  % (29830)First to succeed.
% 0.21/0.58  TRYING [1]
% 0.21/0.59  TRYING [2]
% 0.21/0.59  % (29838)Instruction limit reached!
% 0.21/0.59  % (29838)------------------------------
% 0.21/0.59  % (29838)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59  % (29842)Instruction limit reached!
% 0.21/0.59  % (29842)------------------------------
% 0.21/0.59  % (29842)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59  % (29842)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59  % (29842)Termination reason: Unknown
% 0.21/0.59  % (29842)Termination phase: Saturation
% 0.21/0.59  
% 0.21/0.59  % (29842)Memory used [KB]: 5884
% 0.21/0.59  % (29842)Time elapsed: 0.143 s
% 0.21/0.59  % (29842)Instructions burned: 7 (million)
% 0.21/0.59  % (29842)------------------------------
% 0.21/0.59  % (29842)------------------------------
% 0.21/0.59  % (29838)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59  % (29830)Refutation found. Thanks to Tanya!
% 0.21/0.59  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.59  % (29830)------------------------------
% 0.21/0.59  % (29830)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59  % (29830)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59  % (29830)Termination reason: Refutation
% 0.21/0.59  
% 0.21/0.59  % (29830)Memory used [KB]: 5884
% 0.21/0.59  % (29830)Time elapsed: 0.147 s
% 0.21/0.59  % (29830)Instructions burned: 9 (million)
% 0.21/0.59  % (29830)------------------------------
% 0.21/0.59  % (29830)------------------------------
% 0.21/0.59  % (29822)Success in time 0.231 s
%------------------------------------------------------------------------------