TSTP Solution File: SYN075-1 by Vampire-SAT---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : SYN075-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n021.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 20:13:59 EDT 2024

% Result   : Unsatisfiable 0.22s 0.43s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   21 (   5 unt;   0 def)
%            Number of atoms       :   42 (  25 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   41 (  20   ~;  21   |;   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   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f43,plain,
    $false,
    inference(resolution,[],[f41,f16]) ).

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',unknown) ).

fof(f41,plain,
    ! [X0] : ~ big_f(a,X0),
    inference(trivial_inequality_removal,[],[f40]) ).

fof(f40,plain,
    ! [X0] :
      ( a != a
      | ~ big_f(a,X0) ),
    inference(superposition,[],[f19,f39]) ).

fof(f39,plain,
    ! [X0] : a = h(X0,a),
    inference(equality_resolution,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( a != X1
      | a = h(X0,X1) ),
    inference(equality_factoring,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( h(X0,X1) = X1
      | a = h(X0,X1) ),
    inference(resolution,[],[f21,f1]) ).

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

fof(f21,plain,
    ! [X2,X0] :
      ( big_f(h(X0,X2),X0)
      | h(X0,X2) = X2 ),
    inference(forward_demodulation,[],[f20,f17]) ).

fof(f17,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',unknown) ).

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',unknown) ).

fof(f20,plain,
    ! [X2,X0] :
      ( h(X0,X2) = X2
      | big_f(h(X0,X2),f(X0)) ),
    inference(subsumption_resolution,[],[f9,f17]) ).

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',unknown) ).

fof(f19,plain,
    ! [X2,X0] :
      ( h(X0,X2) != X2
      | ~ big_f(h(X0,X2),X0) ),
    inference(forward_demodulation,[],[f18,f17]) ).

fof(f18,plain,
    ! [X2,X0] :
      ( h(X0,X2) != X2
      | ~ big_f(h(X0,X2),f(X0)) ),
    inference(subsumption_resolution,[],[f10,f17]) ).

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',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYN075-1 : TPTP v8.2.0. Released v1.0.0.
% 0.04/0.12  % Command    : run_vampire %s %d SAT
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sun Jun 23 22:53:39 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.12/0.36  Running first-order model finding
% 0.12/0.36  Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.42  % (32074)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (32079)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.22/0.42  % (32074)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (32081)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.22/0.42  % (32074)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (32080)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.22/0.42  % (32074)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (32077)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.22/0.42  % (32074)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (32075)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.22/0.42  % (32074)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (32076)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:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.22/0.42  TRYING [1]
% 0.22/0.42  TRYING [2]
% 0.22/0.42  TRYING [3]
% 0.22/0.42  % (32074)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (32078)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.22/0.42  TRYING [10]
% 0.22/0.43  % (32080)First to succeed.
% 0.22/0.43  % (32079)Also succeeded, but the first one will report.
% 0.22/0.43  % (32080)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32074"
% 0.22/0.43  TRYING [4]
% 0.22/0.43  % (32074)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (32080)Refutation found. Thanks to Tanya!
% 0.22/0.43  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.43  % (32080)------------------------------
% 0.22/0.43  % (32080)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.43  % (32080)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.43  % (32080)Termination reason: Refutation
% 0.22/0.43  
% 0.22/0.43  % (32080)Memory used [KB]: 712
% 0.22/0.43  % (32080)Time elapsed: 0.006 s
% 0.22/0.43  % (32080)Instructions burned: 4 (million)
% 0.22/0.43  % (32080)------------------------------
% 0.22/0.43  % (32080)------------------------------
% 0.22/0.43  % (32074)Success in time 0.065 s
%------------------------------------------------------------------------------