TSTP Solution File: SYN178-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN178-1 : TPTP v8.1.2. Released v1.1.0.
% 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 : Tue Apr 30 18:02:25 EDT 2024

% Result   : Unsatisfiable 0.21s 0.42s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   26 (  14 unt;   0 def)
%            Number of atoms       :   48 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   45 (  23   ~;  22   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3440,plain,
    $false,
    inference(subsumption_resolution,[],[f3437,f369]) ).

fof(f369,axiom,
    ~ q3(b,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f3437,plain,
    q3(b,d),
    inference(resolution,[],[f3387,f7]) ).

fof(f7,axiom,
    n0(d,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

fof(f3387,plain,
    ! [X0] :
      ( ~ n0(X0,b)
      | q3(b,X0) ),
    inference(resolution,[],[f3366,f293]) ).

fof(f293,axiom,
    ! [X2,X4,X5] :
      ( ~ q2(X2,X4,X5)
      | q3(X4,X5)
      | ~ n0(X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_255) ).

fof(f3366,plain,
    ! [X0] : q2(X0,b,X0),
    inference(resolution,[],[f3343,f32]) ).

fof(f32,axiom,
    k0(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_32) ).

fof(f3343,plain,
    ! [X0,X1] :
      ( ~ k0(X0)
      | q2(X1,X0,X1) ),
    inference(resolution,[],[f3285,f19]) ).

fof(f19,axiom,
    ! [X0,X1] : m0(X0,d,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).

fof(f3285,plain,
    ! [X8,X6,X9,X7] :
      ( ~ m0(X8,X9,X6)
      | ~ k0(X7)
      | q2(X6,X7,X6) ),
    inference(subsumption_resolution,[],[f3284,f619]) ).

fof(f619,plain,
    ! [X2] : q2(X2,X2,X2),
    inference(subsumption_resolution,[],[f219,f470]) ).

fof(f470,plain,
    ! [X0] : p1(X0,X0,X0),
    inference(resolution,[],[f123,f14]) ).

fof(f14,axiom,
    ! [X0] : p0(b,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).

fof(f123,axiom,
    ! [X11,X6] :
      ( ~ p0(X6,X11)
      | p1(X11,X11,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_085) ).

fof(f219,axiom,
    ! [X2] :
      ( ~ p1(X2,X2,X2)
      | q2(X2,X2,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_181) ).

fof(f3284,plain,
    ! [X8,X6,X9,X7] :
      ( ~ k0(X7)
      | ~ m0(X8,X9,X6)
      | ~ q2(X7,X7,X7)
      | q2(X6,X7,X6) ),
    inference(subsumption_resolution,[],[f225,f1108]) ).

fof(f1108,plain,
    ! [X0] : r1(X0),
    inference(subsumption_resolution,[],[f1096,f17]) ).

fof(f17,axiom,
    ! [X0] : q0(X0,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).

fof(f1096,plain,
    ! [X0] :
      ( ~ q0(X0,d)
      | r1(X0) ),
    inference(resolution,[],[f1095,f398]) ).

fof(f398,plain,
    q1(d,d,d),
    inference(resolution,[],[f135,f1]) ).

fof(f1,axiom,
    s0(d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(f135,axiom,
    ! [X10] :
      ( ~ s0(X10)
      | q1(X10,X10,X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_097) ).

fof(f1095,plain,
    ! [X8,X7] :
      ( ~ q1(d,X8,d)
      | ~ q0(X7,X8)
      | r1(X7) ),
    inference(subsumption_resolution,[],[f162,f1]) ).

fof(f162,axiom,
    ! [X8,X7] :
      ( ~ s0(d)
      | r1(X7)
      | ~ q0(X7,X8)
      | ~ q1(d,X8,d) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_124) ).

fof(f225,axiom,
    ! [X8,X6,X9,X7] :
      ( ~ r1(X7)
      | ~ k0(X7)
      | ~ m0(X8,X9,X6)
      | ~ q2(X7,X7,X7)
      | q2(X6,X7,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_187) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN178-1 : TPTP v8.1.2. Released v1.1.0.
% 0.07/0.14  % 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   : Tue Apr 30 02:04:40 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (2272)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (2274)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (2273)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  % (2277)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38  % (2276)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38  % (2275)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.38  % (2278)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38  % (2279)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.39  Detected minimum model sizes of [1]
% 0.15/0.39  Detected maximum model sizes of [5]
% 0.15/0.39  TRYING [1]
% 0.15/0.40  Detected minimum model sizes of [1]
% 0.15/0.40  Detected maximum model sizes of [5]
% 0.15/0.40  TRYING [1]
% 0.15/0.40  TRYING [2]
% 0.15/0.40  TRYING [1,1,1,1,1,1]
% 0.21/0.40  TRYING [2]
% 0.21/0.40  TRYING [1,1,1,1,1,1,1,1,1]
% 0.21/0.40  TRYING [2,1,1,1,1,1]
% 0.21/0.40  TRYING [2,1,1,1,1,1,1,1,1]
% 0.21/0.41  TRYING [3]
% 0.21/0.41  TRYING [3,1,1,1,1,1]
% 0.21/0.41  TRYING [3]
% 0.21/0.41  TRYING [3,1,1,1,1,1,1,1,1]
% 0.21/0.42  % (2277)First to succeed.
% 0.21/0.42  % (2277)Refutation found. Thanks to Tanya!
% 0.21/0.42  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.42  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.42  % (2277)------------------------------
% 0.21/0.42  % (2277)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.42  % (2277)Termination reason: Refutation
% 0.21/0.42  
% 0.21/0.42  % (2277)Memory used [KB]: 1671
% 0.21/0.42  % (2277)Time elapsed: 0.040 s
% 0.21/0.42  % (2277)Instructions burned: 71 (million)
% 0.21/0.42  % (2277)------------------------------
% 0.21/0.42  % (2277)------------------------------
% 0.21/0.42  % (2272)Success in time 0.054 s
%------------------------------------------------------------------------------