TSTP Solution File: SYN074-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN074-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n004.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 : Wed Aug 31 19:36:48 EDT 2022

% Result   : Unsatisfiable 0.14s 0.49s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   22 (   5 unt;   0 def)
%            Number of atoms       :   45 (  29 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   44 (  21   ~;  23   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f247,plain,
    $false,
    inference(subsumption_resolution,[],[f238,f13]) ).

fof(f13,plain,
    big_f(a,b),
    inference(equality_resolution,[],[f12]) ).

fof(f12,plain,
    ! [X0] :
      ( big_f(X0,b)
      | a != X0 ),
    inference(equality_resolution,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( b != X1
      | big_f(X0,X1)
      | a != X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).

fof(f238,plain,
    ~ big_f(a,b),
    inference(trivial_inequality_removal,[],[f229]) ).

fof(f229,plain,
    ( ~ big_f(a,b)
    | b != b ),
    inference(superposition,[],[f63,f214]) ).

fof(f214,plain,
    b = h(a,b),
    inference(equality_resolution,[],[f199]) ).

fof(f199,plain,
    ! [X0] :
      ( b != X0
      | b = h(a,X0) ),
    inference(equality_factoring,[],[f155]) ).

fof(f155,plain,
    ! [X5] :
      ( h(a,X5) = X5
      | b = h(a,X5) ),
    inference(resolution,[],[f64,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ~ big_f(X0,X1)
      | b = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).

fof(f64,plain,
    ! [X3] :
      ( big_f(a,h(a,X3))
      | h(a,X3) = X3 ),
    inference(trivial_inequality_removal,[],[f58]) ).

fof(f58,plain,
    ! [X3] :
      ( big_f(a,h(a,X3))
      | a != a
      | h(a,X3) = X3 ),
    inference(superposition,[],[f10,f55]) ).

fof(f55,plain,
    a = f(a),
    inference(equality_resolution,[],[f48]) ).

fof(f48,plain,
    ! [X0] :
      ( a != X0
      | f(X0) = X0 ),
    inference(equality_factoring,[],[f25]) ).

fof(f25,plain,
    ! [X0] :
      ( a = f(X0)
      | f(X0) = X0 ),
    inference(resolution,[],[f1,f15]) ).

fof(f15,plain,
    ! [X0] :
      ( big_f(f(X0),g(X0))
      | f(X0) = X0 ),
    inference(equality_resolution,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( big_f(f(X0),X1)
      | g(X0) != X1
      | f(X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ big_f(X0,X1)
      | a = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).

fof(f10,axiom,
    ! [X2,X0] :
      ( f(X0) != X0
      | h(X0,X2) = X2
      | big_f(f(X0),h(X0,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).

fof(f63,plain,
    ! [X4] :
      ( ~ big_f(a,h(a,X4))
      | h(a,X4) != X4 ),
    inference(trivial_inequality_removal,[],[f59]) ).

fof(f59,plain,
    ! [X4] :
      ( ~ big_f(a,h(a,X4))
      | a != a
      | h(a,X4) != X4 ),
    inference(superposition,[],[f11,f55]) ).

fof(f11,axiom,
    ! [X2,X0] :
      ( ~ big_f(f(X0),h(X0,X2))
      | f(X0) != X0
      | h(X0,X2) != X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem    : SYN074-1 : TPTP v8.1.0. Released v1.0.0.
% 0.05/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.30  % Computer : n004.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Tue Aug 30 21:24:49 EDT 2022
% 0.09/0.30  % CPUTime    : 
% 0.14/0.45  % (7792)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.14/0.46  % (7809)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.14/0.46  % (7808)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.14/0.46  TRYING [1]
% 0.14/0.47  TRYING [2]
% 0.14/0.47  TRYING [3]
% 0.14/0.47  TRYING [4]
% 0.14/0.47  % (7801)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.14/0.47  TRYING [5]
% 0.14/0.48  % (7793)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.14/0.48  % (7800)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.14/0.49  % (7801)First to succeed.
% 0.14/0.49  % (7791)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.14/0.49  % (7790)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.14/0.49  % (7793)Instruction limit reached!
% 0.14/0.49  % (7793)------------------------------
% 0.14/0.49  % (7793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.49  % (7793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.49  % (7793)Termination reason: Unknown
% 0.14/0.49  % (7793)Termination phase: Saturation
% 0.14/0.49  
% 0.14/0.49  % (7793)Memory used [KB]: 5500
% 0.14/0.49  % (7793)Time elapsed: 0.085 s
% 0.14/0.49  % (7793)Instructions burned: 7 (million)
% 0.14/0.49  % (7793)------------------------------
% 0.14/0.49  % (7793)------------------------------
% 0.14/0.49  % (7788)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.14/0.49  % (7790)Also succeeded, but the first one will report.
% 0.14/0.49  % (7801)Refutation found. Thanks to Tanya!
% 0.14/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.49  % (7801)------------------------------
% 0.14/0.49  % (7801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.49  % (7801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.49  % (7801)Termination reason: Refutation
% 0.14/0.49  
% 0.14/0.49  % (7801)Memory used [KB]: 1023
% 0.14/0.49  % (7801)Time elapsed: 0.077 s
% 0.14/0.49  % (7801)Instructions burned: 10 (million)
% 0.14/0.49  % (7801)------------------------------
% 0.14/0.49  % (7801)------------------------------
% 0.14/0.49  % (7785)Success in time 0.189 s
%------------------------------------------------------------------------------