TSTP Solution File: SYN271-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN271-1 : 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 : n010.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 18:02:40 EDT 2024

% Result   : Unsatisfiable 0.14s 0.40s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   59 (  28 unt;   0 def)
%            Number of atoms       :  105 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   93 (  47   ~;  46   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   22 (  21 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   66 (  66   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2545,plain,
    $false,
    inference(subsumption_resolution,[],[f2544,f369]) ).

fof(f369,axiom,
    ! [X0] : ~ p4(d,X0,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f2544,plain,
    p4(d,a,a),
    inference(resolution,[],[f2540,f2069]) ).

fof(f2069,plain,
    ! [X0,X1] :
      ( ~ r3(X0,X0,X1)
      | p4(X1,X0,X0) ),
    inference(resolution,[],[f326,f650]) ).

fof(f650,plain,
    p4(a,a,a),
    inference(resolution,[],[f325,f412]) ).

fof(f412,plain,
    k3(a,a,a),
    inference(resolution,[],[f248,f405]) ).

fof(f405,plain,
    n2(a),
    inference(resolution,[],[f175,f397]) ).

fof(f397,plain,
    p1(a,a,a),
    inference(subsumption_resolution,[],[f126,f20]) ).

fof(f20,axiom,
    l0(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).

fof(f126,axiom,
    ( ~ l0(a)
    | p1(a,a,a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_088) ).

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

fof(f248,axiom,
    ! [X7] :
      ( ~ n2(X7)
      | k3(X7,X7,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_210) ).

fof(f325,axiom,
    ! [X11,X6] :
      ( ~ k3(X11,X11,X6)
      | p4(X11,X6,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_287) ).

fof(f326,axiom,
    ! [X2,X3,X10,X5] :
      ( ~ p4(X3,X3,X10)
      | ~ r3(X2,X2,X5)
      | p4(X5,X2,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_288) ).

fof(f2540,plain,
    r3(a,a,d),
    inference(resolution,[],[f2518,f2171]) ).

fof(f2171,plain,
    m3(b,b,a),
    inference(subsumption_resolution,[],[f2169,f1113]) ).

fof(f1113,plain,
    r2(a),
    inference(resolution,[],[f1112,f20]) ).

fof(f1112,plain,
    ! [X0] :
      ( ~ l0(X0)
      | r2(X0) ),
    inference(resolution,[],[f1108,f226]) ).

fof(f226,axiom,
    ! [X4] :
      ( ~ r1(X4)
      | ~ l0(X4)
      | r2(X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_188) ).

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

fof(f17,axiom,
    ! [X0] : q0(X0,d),
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',axiom_1) ).

fof(f135,axiom,
    ! [X10] :
      ( ~ s0(X10)
      | q1(X10,X10,X10) ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',rule_124) ).

fof(f2169,plain,
    ( ~ r2(a)
    | m3(b,b,a) ),
    inference(resolution,[],[f2159,f273]) ).

fof(f273,axiom,
    ! [X11,X6] :
      ( ~ k3(X11,X6,X11)
      | ~ r2(X6)
      | m3(X11,X11,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_235) ).

fof(f2159,plain,
    k3(b,a,b),
    inference(resolution,[],[f2123,f37]) ).

fof(f37,axiom,
    n0(b,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_37) ).

fof(f2123,plain,
    ! [X0,X1] :
      ( ~ n0(X0,X1)
      | k3(X0,X1,X0) ),
    inference(resolution,[],[f2122,f585]) ).

fof(f585,plain,
    ! [X0] : p2(X0,X0,X0),
    inference(resolution,[],[f188,f545]) ).

fof(f545,plain,
    ! [X0] : m1(X0,X0,X0),
    inference(resolution,[],[f44,f19]) ).

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

fof(f44,axiom,
    ! [X3,X10] :
      ( ~ m0(X10,X10,X3)
      | m1(X3,X3,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_006) ).

fof(f188,axiom,
    ! [X9,X4] :
      ( ~ m1(X4,X4,X9)
      | p2(X9,X9,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_150) ).

fof(f2122,plain,
    ! [X3,X10,X11,X6] :
      ( ~ p2(X11,X10,X6)
      | ~ n0(X3,X6)
      | k3(X3,X10,X3) ),
    inference(subsumption_resolution,[],[f230,f502]) ).

fof(f502,plain,
    ! [X0] : s1(X0),
    inference(resolution,[],[f495,f379]) ).

fof(f379,plain,
    s1(b),
    inference(resolution,[],[f163,f14]) ).

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

fof(f163,axiom,
    ! [X2] :
      ( ~ p0(X2,X2)
      | s1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_125) ).

fof(f495,plain,
    ! [X0,X1] :
      ( ~ s1(X1)
      | s1(X0) ),
    inference(resolution,[],[f164,f17]) ).

fof(f164,axiom,
    ! [X9,X4,X5] :
      ( ~ q0(X9,X4)
      | s1(X9)
      | ~ s1(X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_126) ).

fof(f230,axiom,
    ! [X3,X10,X11,X6] :
      ( ~ s1(X10)
      | ~ n0(X3,X6)
      | ~ p2(X11,X10,X6)
      | k3(X3,X10,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_192) ).

fof(f2518,plain,
    ! [X0,X1] :
      ( ~ m3(X0,b,X1)
      | r3(X1,X1,d) ),
    inference(subsumption_resolution,[],[f2506,f520]) ).

fof(f520,plain,
    m2(d),
    inference(resolution,[],[f515,f1]) ).

fof(f515,plain,
    ! [X0] :
      ( ~ s0(X0)
      | m2(X0) ),
    inference(resolution,[],[f173,f387]) ).

fof(f387,plain,
    l1(d,d),
    inference(resolution,[],[f40,f34]) ).

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

fof(f40,axiom,
    ! [X4,X5] :
      ( ~ n0(X5,X4)
      | l1(X4,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_002) ).

fof(f173,axiom,
    ! [X9,X4,X5] :
      ( ~ l1(X4,X5)
      | m2(X9)
      | ~ s0(X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_135) ).

fof(f2506,plain,
    ! [X0,X1] :
      ( ~ m3(X0,b,X1)
      | ~ m2(d)
      | r3(X1,X1,d) ),
    inference(resolution,[],[f306,f506]) ).

fof(f506,plain,
    r3(d,d,d),
    inference(resolution,[],[f503,f302]) ).

fof(f302,axiom,
    ! [X5] :
      ( ~ s2(X5)
      | r3(X5,X5,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_264) ).

fof(f503,plain,
    s2(d),
    inference(resolution,[],[f502,f411]) ).

fof(f411,plain,
    ( ~ s1(a)
    | s2(d) ),
    inference(subsumption_resolution,[],[f228,f1]) ).

fof(f228,axiom,
    ( ~ s1(a)
    | ~ s0(d)
    | s2(d) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_190) ).

fof(f306,axiom,
    ! [X2,X3,X10,X5] :
      ( ~ r3(X2,X10,X10)
      | ~ m3(X3,b,X5)
      | ~ m2(X2)
      | r3(X5,X5,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_268) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN271-1 : TPTP v8.1.2. Released v1.1.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n010.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Apr 30 01:42:20 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.35  % (27662)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (27669)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)
% 0.14/0.37  % (27663)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37  % (27664)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37  % (27665)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)
% 0.14/0.37  % (27666)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37  % (27668)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37  % (27667)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38  Detected minimum model sizes of [1]
% 0.14/0.38  Detected maximum model sizes of [5]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [3]
% 0.14/0.39  Detected minimum model sizes of [1]
% 0.14/0.39  Detected maximum model sizes of [5]
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  TRYING [1,1,1,1,1,1]
% 0.14/0.39  TRYING [1,1,1,1,1,1,1,1,1]
% 0.14/0.40  TRYING [2,1,1,1,1,1]
% 0.14/0.40  TRYING [2,1,1,1,1,1,1,1,1]
% 0.14/0.40  TRYING [4]
% 0.14/0.40  TRYING [3]
% 0.14/0.40  % (27667)First to succeed.
% 0.14/0.40  % (27667)Refutation found. Thanks to Tanya!
% 0.14/0.40  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40  % (27667)------------------------------
% 0.14/0.40  % (27667)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.40  % (27667)Termination reason: Refutation
% 0.14/0.40  
% 0.14/0.40  % (27667)Memory used [KB]: 1498
% 0.14/0.40  % (27667)Time elapsed: 0.031 s
% 0.14/0.40  % (27667)Instructions burned: 53 (million)
% 0.14/0.40  % (27667)------------------------------
% 0.14/0.40  % (27667)------------------------------
% 0.14/0.40  % (27662)Success in time 0.056 s
%------------------------------------------------------------------------------