TSTP Solution File: SEU247+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SEU247+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n016.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 : Sun May  5 09:30:22 EDT 2024

% Result   : Theorem 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (   7 unt;   0 def)
%            Number of atoms       :   31 (  17 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   25 (  12   ~;   4   |;   4   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   26 (  22   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f52,plain,
    $false,
    inference(trivial_inequality_removal,[],[f51]) ).

fof(f51,plain,
    relation_restriction(sK1,sK0) != relation_restriction(sK1,sK0),
    inference(superposition,[],[f49,f40]) ).

fof(f40,plain,
    ! [X0] : relation_restriction(sK1,X0) = relation_dom_restriction(relation_rng_restriction(X0,sK1),X0),
    inference(resolution,[],[f31,f23]) ).

fof(f23,plain,
    relation(sK1),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ( relation_restriction(sK1,sK0) != relation_rng_restriction(sK0,relation_dom_restriction(sK1,sK0))
    & relation(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f14,f21]) ).

fof(f21,plain,
    ( ? [X0,X1] :
        ( relation_restriction(X1,X0) != relation_rng_restriction(X0,relation_dom_restriction(X1,X0))
        & relation(X1) )
   => ( relation_restriction(sK1,sK0) != relation_rng_restriction(sK0,relation_dom_restriction(sK1,sK0))
      & relation(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f14,plain,
    ? [X0,X1] :
      ( relation_restriction(X1,X0) != relation_rng_restriction(X0,relation_dom_restriction(X1,X0))
      & relation(X1) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,negated_conjecture,
    ~ ! [X0,X1] :
        ( relation(X1)
       => relation_restriction(X1,X0) = relation_rng_restriction(X0,relation_dom_restriction(X1,X0)) ),
    inference(negated_conjecture,[],[f11]) ).

fof(f11,conjecture,
    ! [X0,X1] :
      ( relation(X1)
     => relation_restriction(X1,X0) = relation_rng_restriction(X0,relation_dom_restriction(X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_wellord1) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ~ relation(X1)
      | relation_restriction(X1,X0) = relation_dom_restriction(relation_rng_restriction(X0,X1),X0) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( relation_restriction(X1,X0) = relation_dom_restriction(relation_rng_restriction(X0,X1),X0)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( relation(X1)
     => relation_restriction(X1,X0) = relation_dom_restriction(relation_rng_restriction(X0,X1),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_wellord1) ).

fof(f49,plain,
    relation_restriction(sK1,sK0) != relation_dom_restriction(relation_rng_restriction(sK0,sK1),sK0),
    inference(superposition,[],[f24,f44]) ).

fof(f44,plain,
    ! [X0,X1] : relation_dom_restriction(relation_rng_restriction(X0,sK1),X1) = relation_rng_restriction(X0,relation_dom_restriction(sK1,X1)),
    inference(resolution,[],[f32,f23]) ).

fof(f32,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X2)
      | relation_dom_restriction(relation_rng_restriction(X0,X2),X1) = relation_rng_restriction(X0,relation_dom_restriction(X2,X1)) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( relation_dom_restriction(relation_rng_restriction(X0,X2),X1) = relation_rng_restriction(X0,relation_dom_restriction(X2,X1))
      | ~ relation(X2) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1,X2] :
      ( relation(X2)
     => relation_dom_restriction(relation_rng_restriction(X0,X2),X1) = relation_rng_restriction(X0,relation_dom_restriction(X2,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t140_relat_1) ).

fof(f24,plain,
    relation_restriction(sK1,sK0) != relation_rng_restriction(sK0,relation_dom_restriction(sK1,sK0)),
    inference(cnf_transformation,[],[f22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SEU247+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n016.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   : Fri May  3 12:01:30 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (15721)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (15725)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  TRYING [3]
% 0.14/0.37  % (15724)WARNING: value z3 for option sas not known
% 0.14/0.37  TRYING [4]
% 0.14/0.37  % (15722)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37  % (15724)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37  % (15723)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37  % (15727)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37  % (15728)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37  % (15726)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [5]
% 0.14/0.38  % (15727)First to succeed.
% 0.14/0.38  TRYING [2]
% 0.14/0.38  % (15724)Also succeeded, but the first one will report.
% 0.14/0.38  % (15727)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15721"
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  % (15727)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Theorem for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38  % (15727)------------------------------
% 0.14/0.38  % (15727)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38  % (15727)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (15727)Memory used [KB]: 829
% 0.14/0.38  % (15727)Time elapsed: 0.005 s
% 0.14/0.38  % (15727)Instructions burned: 5 (million)
% 0.14/0.38  % (15721)Success in time 0.018 s
%------------------------------------------------------------------------------