TSTP Solution File: SEU306+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SEU306+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 : n010.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 : Tue Apr 30 15:28:10 EDT 2024

% Result   : Theorem 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   5 unt;   0 def)
%            Number of atoms       :   23 (  12 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   19 (   9   ~;   2   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :    7 (   5   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f170,plain,
    $false,
    inference(trivial_inequality_removal,[],[f169]) ).

fof(f169,plain,
    cast_as_carrier_subset(sK2) != cast_as_carrier_subset(sK2),
    inference(superposition,[],[f104,f167]) ).

fof(f167,plain,
    cast_as_carrier_subset(sK2) = the_carrier(sK2),
    inference(resolution,[],[f114,f103]) ).

fof(f103,plain,
    one_sorted_str(sK2),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ( cast_as_carrier_subset(sK2) != the_carrier(sK2)
    & one_sorted_str(sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f59,f88]) ).

fof(f88,plain,
    ( ? [X0] :
        ( cast_as_carrier_subset(X0) != the_carrier(X0)
        & one_sorted_str(X0) )
   => ( cast_as_carrier_subset(sK2) != the_carrier(sK2)
      & one_sorted_str(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f59,plain,
    ? [X0] :
      ( cast_as_carrier_subset(X0) != the_carrier(X0)
      & one_sorted_str(X0) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,negated_conjecture,
    ~ ! [X0] :
        ( one_sorted_str(X0)
       => cast_as_carrier_subset(X0) = the_carrier(X0) ),
    inference(negated_conjecture,[],[f40]) ).

fof(f40,conjecture,
    ! [X0] :
      ( one_sorted_str(X0)
     => cast_as_carrier_subset(X0) = the_carrier(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_pre_topc) ).

fof(f114,plain,
    ! [X0] :
      ( ~ one_sorted_str(X0)
      | cast_as_carrier_subset(X0) = the_carrier(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( cast_as_carrier_subset(X0) = the_carrier(X0)
      | ~ one_sorted_str(X0) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,axiom,
    ! [X0] :
      ( one_sorted_str(X0)
     => cast_as_carrier_subset(X0) = the_carrier(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_pre_topc) ).

fof(f104,plain,
    cast_as_carrier_subset(sK2) != the_carrier(sK2),
    inference(cnf_transformation,[],[f89]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEU306+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n010.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   : Mon Apr 29 20:45:20 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (23224)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (23227)WARNING: value z3 for option sas not known
% 0.14/0.37  % (23228)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37  % (23226)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  % (23225)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37  % (23227)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  % (23229)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  % (23230)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  % (23231)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)
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  % (23230)First to succeed.
% 0.14/0.38  TRYING [1]
% 0.14/0.38  % (23227)Also succeeded, but the first one will report.
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [4]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  % (23231)Also succeeded, but the first one will report.
% 0.14/0.38  % (23230)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  % (23230)------------------------------
% 0.14/0.38  % (23230)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38  % (23230)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (23230)Memory used [KB]: 848
% 0.14/0.38  % (23230)Time elapsed: 0.005 s
% 0.14/0.38  % (23230)Instructions burned: 5 (million)
% 0.14/0.38  % (23230)------------------------------
% 0.14/0.38  % (23230)------------------------------
% 0.14/0.38  % (23224)Success in time 0.01 s
%------------------------------------------------------------------------------