TSTP Solution File: SYN083+1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN083+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n027.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 : Sat Sep  2 14:24:52 EDT 2023

% Result   : Theorem 0.12s 0.33s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   9 unt;   0 def)
%            Number of atoms       :   11 (  10 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   22 (;  14   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f14,plain,
    $false,
    inference(subsumption_resolution,[],[f13,f8]) ).

fof(f8,plain,
    ! [X2,X0,X1] : f(X0,f(X1,X2)) = f(f(X0,X1),X2),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1,X2] : f(X0,f(X1,X2)) = f(f(X0,X1),X2),
    file('/export/starexec/sandbox2/tmp/tmp.WARcn23O0p/Vampire---4.8_16440',p61_1) ).

fof(f13,plain,
    f(sK0,f(sK1,f(sK2,sK3))) != f(f(sK0,sK1),f(sK2,sK3)),
    inference(superposition,[],[f7,f8]) ).

fof(f7,plain,
    f(sK0,f(sK1,f(sK2,sK3))) != f(f(f(sK0,sK1),sK2),sK3),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    f(sK0,f(sK1,f(sK2,sK3))) != f(f(f(sK0,sK1),sK2),sK3),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f4,f5]) ).

fof(f5,plain,
    ( ? [X0,X1,X2,X3] : f(X0,f(X1,f(X2,X3))) != f(f(f(X0,X1),X2),X3)
   => f(sK0,f(sK1,f(sK2,sK3))) != f(f(f(sK0,sK1),sK2),sK3) ),
    introduced(choice_axiom,[]) ).

fof(f4,plain,
    ? [X0,X1,X2,X3] : f(X0,f(X1,f(X2,X3))) != f(f(f(X0,X1),X2),X3),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,negated_conjecture,
    ~ ! [X0,X1,X2,X3] : f(X0,f(X1,f(X2,X3))) = f(f(f(X0,X1),X2),X3),
    inference(negated_conjecture,[],[f2]) ).

fof(f2,conjecture,
    ! [X0,X1,X2,X3] : f(X0,f(X1,f(X2,X3))) = f(f(f(X0,X1),X2),X3),
    file('/export/starexec/sandbox2/tmp/tmp.WARcn23O0p/Vampire---4.8_16440',pel61) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08  % Problem    : SYN083+1 : TPTP v8.1.2. Released v2.0.0.
% 0.04/0.09  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.08/0.29  % Computer : n027.cluster.edu
% 0.08/0.29  % Model    : x86_64 x86_64
% 0.08/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29  % Memory   : 8042.1875MB
% 0.08/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29  % CPULimit   : 300
% 0.08/0.29  % WCLimit    : 300
% 0.08/0.29  % DateTime   : Wed Aug 30 16:22:54 EDT 2023
% 0.08/0.29  % CPUTime    : 
% 0.08/0.32  % (17489)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.32  % (17604)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.12/0.32  % (17605)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.12/0.32  % (17609)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.12/0.32  % (17610)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 Vampire---4 for (531ds/0Mi)
% 0.12/0.32  % (17608)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 Vampire---4 for (569ds/0Mi)
% 0.12/0.32  % (17612)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 Vampire---4 for (522ds/0Mi)
% 0.12/0.32  TRYING [1]
% 0.12/0.32  % (17614)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 Vampire---4 for (497ds/0Mi)
% 0.12/0.32  TRYING [2]
% 0.12/0.32  TRYING [1]
% 0.12/0.32  TRYING [2]
% 0.12/0.32  TRYING [3]
% 0.12/0.32  % (17614)First to succeed.
% 0.12/0.32  % (17610)Also succeeded, but the first one will report.
% 0.12/0.32  TRYING [3]
% 0.12/0.32  TRYING [1]
% 0.12/0.32  TRYING [2]
% 0.12/0.33  % (17614)Refutation found. Thanks to Tanya!
% 0.12/0.33  % SZS status Theorem for Vampire---4
% 0.12/0.33  % SZS output start Proof for Vampire---4
% See solution above
% 0.12/0.33  % (17614)------------------------------
% 0.12/0.33  % (17614)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.12/0.33  % (17614)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.12/0.33  % (17614)Termination reason: Refutation
% 0.12/0.33  
% 0.12/0.33  % (17614)Memory used [KB]: 895
% 0.12/0.33  % (17614)Time elapsed: 0.002 s
% 0.12/0.33  % (17614)------------------------------
% 0.12/0.33  % (17614)------------------------------
% 0.12/0.33  % (17489)Success in time 0.034 s
% 0.12/0.33  % Vampire---4.8 exiting
%------------------------------------------------------------------------------