TSTP Solution File: COL033-1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : COL033-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% 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 Jun 24 04:51:01 EDT 2024

% Result   : Unsatisfiable 0.16s 0.40s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    8 (   8 unt;   0 def)
%            Number of atoms       :    8 (   7 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    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f127,plain,
    $false,
    inference(trivial_inequality_removal,[],[f126]) ).

fof(f126,plain,
    apply(m,apply(l,f(apply(apply(b,m),l)))) != apply(m,apply(l,f(apply(apply(b,m),l)))),
    inference(superposition,[],[f75,f6]) ).

fof(f6,plain,
    ! [X0] : apply(m,apply(l,X0)) = apply(X0,apply(m,apply(l,X0))),
    inference(superposition,[],[f2,f3]) ).

fof(f3,axiom,
    ! [X0] : apply(m,X0) = apply(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f2,axiom,
    ! [X0,X1] : apply(apply(l,X0),X1) = apply(X0,apply(X1,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f75,plain,
    ! [X0,X1] : apply(X0,apply(X1,f(apply(apply(b,X0),X1)))) != apply(f(apply(apply(b,X0),X1)),apply(X0,apply(X1,f(apply(apply(b,X0),X1))))),
    inference(superposition,[],[f4,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f4,axiom,
    ! [X1] : apply(X1,f(X1)) != apply(f(X1),apply(X1,f(X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : COL033-1 : TPTP v8.2.0. Released v1.0.0.
% 0.10/0.11  % Command    : run_vampire %s %d THM
% 0.10/0.32  % Computer : n022.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Tue Jun 18 15:42:09 EDT 2024
% 0.16/0.32  % CPUTime    : 
% 0.16/0.33  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.16/0.34  Running first-order theorem proving
% 0.16/0.34  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.39  % (14832)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39  % (14833)ott+10_1:36_drc=encompass:sil=256000:tgt=full:fde=none:st=5.0:i=276418:ss=axioms:sgt=16:sp=occurrence:plsq=on_0 on theBenchmark for (2999ds/276418Mi)
% 0.16/0.39  % (14832)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39  % (14839)lrs+10_1:32_slsqr=1,2:drc=encompass:sil=2000:slsqc=1:slsq=on:i=729:slsql=off:fd=preordered:lwlo=on_0 on theBenchmark for (2999ds/729Mi)
% 0.16/0.39  % (14832)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39  % (14834)dis+10_1:28_drc=encompass:sil=256000:tgt=ground:i=146946:dpc=on:bs=on_0 on theBenchmark for (2999ds/146946Mi)
% 0.16/0.39  % (14832)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39  % (14836)lrs+10_1:1024_drc=encompass:sil=2000:i=149_0 on theBenchmark for (2999ds/149Mi)
% 0.16/0.39  % (14832)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39  % (14835)dis+10_1:64_sil=256000:i=105:bd=off:fd=off_0 on theBenchmark for (2999ds/105Mi)
% 0.16/0.39  % (14832)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39  % (14838)lrs+10_1:1024_sil=64000:i=305:to=lpo:drc=encompass:bd=off_0 on theBenchmark for (2999ds/305Mi)
% 0.16/0.39  % (14832)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39  % (14837)lrs+10_1:1_sil=2000:sos=on:urr=on:st=5.0:i=149:ep=RSTC:ss=axioms:flr=on:fsr=off:br=off_0 on theBenchmark for (2999ds/149Mi)
% 0.16/0.40  % (14839)First to succeed.
% 0.16/0.40  % (14839)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14832"
% 0.16/0.40  % (14832)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.40  % (14839)Refutation found. Thanks to Tanya!
% 0.16/0.40  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.40  % (14839)------------------------------
% 0.16/0.40  % (14839)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.16/0.40  % (14839)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.16/0.40  % (14839)Termination reason: Refutation
% 0.16/0.40  
% 0.16/0.40  % (14839)Memory used [KB]: 857
% 0.16/0.40  % (14839)Time elapsed: 0.008 s
% 0.16/0.40  % (14839)Instructions burned: 10 (million)
% 0.16/0.40  % (14839)------------------------------
% 0.16/0.40  % (14839)------------------------------
% 0.16/0.40  % (14832)Success in time 0.055 s
%------------------------------------------------------------------------------