TSTP Solution File: SWV253-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV253-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n023.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 10:47:56 EDT 2024

% Result   : Unsatisfiable 0.15s 0.38s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   12 (  11 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    1 (   1   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,plain,
    $false,
    inference(subsumption_resolution,[],[f8,f5]) ).

fof(f5,plain,
    v_K != v_K_H,
    inference(trivial_inequality_removal,[],[f4]) ).

fof(f4,plain,
    ( v_K != v_K_H
    | c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K) ),
    inference(inner_rewriting,[],[f1]) ).

fof(f1,axiom,
    ( v_K != v_K_H
    | c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f8,plain,
    v_K = v_K_H,
    inference(forward_demodulation,[],[f7,f3]) ).

fof(f3,axiom,
    ! [X0] : c_Message_OinvKey(c_Message_OinvKey(X0)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0) ).

fof(f7,plain,
    v_K_H = c_Message_OinvKey(c_Message_OinvKey(v_K)),
    inference(superposition,[],[f3,f6]) ).

fof(f6,plain,
    c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H),
    inference(subsumption_resolution,[],[f2,f5]) ).

fof(f2,axiom,
    ( v_K = v_K_H
    | c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : SWV253-2 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n023.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 21:12:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (2994)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (2997)WARNING: value z3 for option sas not known
% 0.15/0.38  % (2995)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38  % (2996)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38  % (2997)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)
% 0.15/0.38  % (2998)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38  % (2999)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)
% 0.15/0.38  % (3001)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)
% 0.15/0.38  % (3000)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)
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  % (3001)First to succeed.
% 0.15/0.38  % (3000)Also succeeded, but the first one will report.
% 0.15/0.38  % (2999)Also succeeded, but the first one will report.
% 0.15/0.38  % (3001)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2994"
% 0.15/0.38  TRYING [4]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  % (2997)Also succeeded, but the first one will report.
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [5]
% 0.15/0.38  % (3001)Refutation found. Thanks to Tanya!
% 0.15/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38  % (3001)------------------------------
% 0.15/0.38  % (3001)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38  % (3001)Termination reason: Refutation
% 0.15/0.38  
% 0.15/0.38  % (3001)Memory used [KB]: 736
% 0.15/0.38  % (3001)Time elapsed: 0.003 s
% 0.15/0.38  % (3001)Instructions burned: 2 (million)
% 0.15/0.38  % (2994)Success in time 0.018 s
%------------------------------------------------------------------------------