TSTP Solution File: SYN155-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN155-1 : 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 : n005.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 18:02:21 EDT 2024

% Result   : Unsatisfiable 0.16s 0.41s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   37 (  20 unt;   0 def)
%            Number of atoms       :   62 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   51 (  26   ~;  25   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   16 (  15 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   33 (  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1202,plain,
    $false,
    inference(resolution,[],[f1200,f369]) ).

fof(f369,axiom,
    ! [X0] : ~ n4(X0,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f1200,plain,
    ! [X0] : n4(X0,X0),
    inference(resolution,[],[f1198,f723]) ).

fof(f723,plain,
    ! [X2,X5] :
      ( ~ k4(X2)
      | n4(X5,X5) ),
    inference(subsumption_resolution,[],[f322,f474]) ).

fof(f474,plain,
    ! [X0] : m3(X0,X0,X0),
    inference(resolution,[],[f472,f274]) ).

fof(f274,axiom,
    ! [X10] :
      ( ~ n2(X10)
      | m3(X10,X10,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_236) ).

fof(f472,plain,
    ! [X0] : n2(X0),
    inference(resolution,[],[f470,f175]) ).

fof(f175,axiom,
    ! [X10,X11,X6] :
      ( ~ p1(X11,X6,X10)
      | n2(X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_137) ).

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

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

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

fof(f322,axiom,
    ! [X2,X5] :
      ( ~ k4(X2)
      | n4(X5,X5)
      | ~ m3(X5,X5,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_284) ).

fof(f1198,plain,
    k4(c),
    inference(resolution,[],[f1197,f993]) ).

fof(f993,plain,
    ( ~ q3(e,b)
    | k4(c) ),
    inference(subsumption_resolution,[],[f992,f34]) ).

fof(f34,axiom,
    n0(c,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).

fof(f992,plain,
    ( k4(c)
    | ~ q3(e,b)
    | ~ n0(c,d) ),
    inference(subsumption_resolution,[],[f312,f420]) ).

fof(f420,plain,
    n3(e),
    inference(resolution,[],[f278,f407]) ).

fof(f407,plain,
    p2(e,e,e),
    inference(resolution,[],[f197,f370]) ).

fof(f370,plain,
    k1(e),
    inference(resolution,[],[f39,f3]) ).

fof(f3,axiom,
    n0(d,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f39,axiom,
    ! [X2,X3] :
      ( ~ n0(X3,X2)
      | k1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_001) ).

fof(f197,axiom,
    ! [X10] :
      ( ~ k1(X10)
      | p2(X10,X10,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_159) ).

fof(f278,axiom,
    ! [X8,X9,X7] :
      ( ~ p2(X8,X9,X7)
      | n3(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_240) ).

fof(f312,axiom,
    ( ~ n3(e)
    | k4(c)
    | ~ q3(e,b)
    | ~ n0(c,d) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_274) ).

fof(f1197,plain,
    q3(e,b),
    inference(subsumption_resolution,[],[f1196,f30]) ).

fof(f30,axiom,
    n0(e,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).

fof(f1196,plain,
    ( q3(e,b)
    | ~ n0(e,e) ),
    inference(resolution,[],[f1193,f293]) ).

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

fof(f1193,plain,
    q2(e,e,b),
    inference(resolution,[],[f1189,f224]) ).

fof(f224,axiom,
    ! [X4,X5] :
      ( ~ l1(X5,X4)
      | q2(X4,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_186) ).

fof(f1189,plain,
    l1(b,e),
    inference(resolution,[],[f1160,f9]) ).

fof(f9,axiom,
    r0(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).

fof(f1160,plain,
    ! [X0] :
      ( ~ r0(X0)
      | l1(b,e) ),
    inference(subsumption_resolution,[],[f1154,f18]) ).

fof(f18,axiom,
    p0(c,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).

fof(f1154,plain,
    ! [X0] :
      ( ~ p0(c,b)
      | l1(b,e)
      | ~ r0(X0) ),
    inference(resolution,[],[f41,f27]) ).

fof(f27,axiom,
    m0(e,b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).

fof(f41,axiom,
    ! [X8,X6,X9,X7] :
      ( ~ m0(X7,X6,X8)
      | ~ p0(X8,X6)
      | l1(X6,X7)
      | ~ r0(X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_003) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SYN155-1 : TPTP v8.1.2. Released v1.1.0.
% 0.11/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36  % Computer : n005.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 01:50:11 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.37  % (17795)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39  % (17796)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.39  % (17797)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.39  % (17800)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.39  % (17799)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.39  % (17801)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.39  % (17802)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)
% 0.16/0.39  % (17798)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)
% 0.16/0.40  % (17800)First to succeed.
% 0.16/0.41  % (17800)Refutation found. Thanks to Tanya!
% 0.16/0.41  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.41  % (17800)------------------------------
% 0.16/0.41  % (17800)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.41  % (17800)Termination reason: Refutation
% 0.16/0.41  
% 0.16/0.41  % (17800)Memory used [KB]: 1319
% 0.16/0.41  % (17800)Time elapsed: 0.015 s
% 0.16/0.41  % (17800)Instructions burned: 23 (million)
% 0.16/0.41  % (17800)------------------------------
% 0.16/0.41  % (17800)------------------------------
% 0.16/0.41  % (17795)Success in time 0.039 s
%------------------------------------------------------------------------------