TSTP Solution File: COL030-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : COL030-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n022.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 : Mon May 20 19:06:06 EDT 2024

% Result   : Unsatisfiable 0.20s 0.41s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    7 (   7 unt;   0 def)
%            Number of atoms       :    7 (   6 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f598,plain,
    $false,
    inference(equality_resolution,[],[f562]) ).

fof(f562,plain,
    ! [X0] : apply(apply(apply(s,X0),X0),f(apply(apply(s,X0),X0))) != apply(apply(apply(s,l),X0),f(apply(apply(s,X0),X0))),
    inference(superposition,[],[f259,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : apply(apply(apply(s,X0),X1),X2) = apply(apply(X0,X2),apply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_definition) ).

fof(f259,plain,
    ! [X0] : apply(apply(apply(s,X0),X0),f(apply(apply(s,X0),X0))) != apply(apply(l,f(apply(apply(s,X0),X0))),apply(X0,f(apply(apply(s,X0),X0)))),
    inference(superposition,[],[f3,f19]) ).

fof(f19,plain,
    ! [X2,X0,X1] : apply(apply(l,X2),apply(X0,X1)) = apply(X2,apply(apply(apply(s,X0),X0),X1)),
    inference(superposition,[],[f2,f1]) ).

fof(f2,axiom,
    ! [X0,X1] : apply(apply(l,X0),X1) = apply(X0,apply(X1,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l_definition) ).

fof(f3,axiom,
    ! [X1] : apply(X1,f(X1)) != apply(f(X1),apply(X1,f(X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : COL030-1 : TPTP v8.2.0. Released v1.0.0.
% 0.03/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n022.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sat May 18 13:09:07 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.35  % (4660)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.36  % (4663)WARNING: value z3 for option sas not known
% 0.20/0.36  % (4662)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.36  % (4663)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)
% 0.20/0.36  % (4665)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)
% 0.20/0.36  % (4666)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)
% 0.20/0.37  % (4664)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37  TRYING [1]
% 0.20/0.37  TRYING [2]
% 0.20/0.37  % (4667)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)
% 0.20/0.37  TRYING [3]
% 0.20/0.38  TRYING [4]
% 0.20/0.38  % (4661)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.38  TRYING [1]
% 0.20/0.38  TRYING [2]
% 0.20/0.38  TRYING [3]
% 0.20/0.39  TRYING [4]
% 0.20/0.41  % (4666)First to succeed.
% 0.20/0.41  % (4666)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4660"
% 0.20/0.41  % (4666)Refutation found. Thanks to Tanya!
% 0.20/0.41  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.41  % (4666)------------------------------
% 0.20/0.41  % (4666)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.41  % (4666)Termination reason: Refutation
% 0.20/0.41  
% 0.20/0.41  % (4666)Memory used [KB]: 1297
% 0.20/0.41  % (4666)Time elapsed: 0.043 s
% 0.20/0.41  % (4666)Instructions burned: 74 (million)
% 0.20/0.41  % (4660)Success in time 0.049 s
%------------------------------------------------------------------------------