TSTP Solution File: SYN075-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN075-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n013.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 : Tue Apr 30 18:02:06 EDT 2024

% Result   : Unsatisfiable 0.15s 0.33s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (   5 unt;   0 def)
%            Number of atoms       :   38 (  21 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   39 (  20   ~;  19   |;   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   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f40,plain,
    $false,
    inference(unit_resulting_resolution,[],[f34,f36,f24]) ).

fof(f24,plain,
    ! [X2,X0] :
      ( big_f(h(X0,X2),X0)
      | h(X0,X2) = X2 ),
    inference(forward_demodulation,[],[f23,f19]) ).

fof(f19,plain,
    ! [X0] : f(X0) = X0,
    inference(subsumption_resolution,[],[f12,f11]) ).

fof(f11,plain,
    ! [X0] :
      ( ~ big_f(g(X0),f(X0))
      | f(X0) = X0 ),
    inference(equality_resolution,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( g(X0) != X1
      | ~ big_f(X1,f(X0))
      | f(X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).

fof(f12,plain,
    ! [X0] :
      ( f(X0) = X0
      | big_f(g(X0),f(X0)) ),
    inference(equality_resolution,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( g(X0) != X1
      | f(X0) = X0
      | big_f(X1,f(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).

fof(f23,plain,
    ! [X2,X0] :
      ( h(X0,X2) = X2
      | big_f(h(X0,X2),f(X0)) ),
    inference(subsumption_resolution,[],[f9,f19]) ).

fof(f9,axiom,
    ! [X2,X0] :
      ( f(X0) != X0
      | h(X0,X2) = X2
      | big_f(h(X0,X2),f(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).

fof(f36,plain,
    ! [X0] : ~ big_f(h(b,a),X0),
    inference(unit_resulting_resolution,[],[f34,f1]) ).

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

fof(f34,plain,
    a != h(b,a),
    inference(unit_resulting_resolution,[],[f16,f22]) ).

fof(f22,plain,
    ! [X2,X0] :
      ( ~ big_f(X2,X0)
      | h(X0,X2) != X2 ),
    inference(inner_rewriting,[],[f21]) ).

fof(f21,plain,
    ! [X2,X0] :
      ( ~ big_f(h(X0,X2),X0)
      | h(X0,X2) != X2 ),
    inference(forward_demodulation,[],[f20,f19]) ).

fof(f20,plain,
    ! [X2,X0] :
      ( h(X0,X2) != X2
      | ~ big_f(h(X0,X2),f(X0)) ),
    inference(subsumption_resolution,[],[f10,f19]) ).

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

fof(f16,plain,
    big_f(a,b),
    inference(equality_resolution,[],[f15]) ).

fof(f15,plain,
    ! [X1] :
      ( b != X1
      | big_f(a,X1) ),
    inference(equality_resolution,[],[f3]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem    : SYN075-1 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31  % Computer : n013.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Apr 30 01:49:19 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.15/0.31  % (8765)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.33  % (8768)WARNING: value z3 for option sas not known
% 0.15/0.33  % (8766)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.33  % (8771)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)
% 0.15/0.33  % (8767)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.33  % (8769)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.33  % (8770)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)
% 0.15/0.33  % (8768)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)
% 0.15/0.33  % (8772)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)
% 0.15/0.33  TRYING [1]
% 0.15/0.33  TRYING [2]
% 0.15/0.33  % (8772)First to succeed.
% 0.15/0.33  % (8771)Also succeeded, but the first one will report.
% 0.15/0.33  TRYING [3]
% 0.15/0.33  % (8768)Also succeeded, but the first one will report.
% 0.15/0.33  % (8772)Refutation found. Thanks to Tanya!
% 0.15/0.33  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.33  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.33  % (8772)------------------------------
% 0.15/0.33  % (8772)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.33  % (8772)Termination reason: Refutation
% 0.15/0.33  
% 0.15/0.33  % (8772)Memory used [KB]: 754
% 0.15/0.33  % (8772)Time elapsed: 0.003 s
% 0.15/0.33  % (8772)Instructions burned: 3 (million)
% 0.15/0.33  % (8772)------------------------------
% 0.15/0.33  % (8772)------------------------------
% 0.15/0.33  % (8765)Success in time 0.018 s
%------------------------------------------------------------------------------