TSTP Solution File: SYN270-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN270-1 : 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 : n006.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 : Sun May  5 12:09:27 EDT 2024

% Result   : Unsatisfiable 0.21s 0.40s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   45 (  23 unt;   0 def)
%            Number of atoms       :   79 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   69 (  35   ~;  34   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   17 (  16 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   48 (  48   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2315,plain,
    $false,
    inference(subsumption_resolution,[],[f2314,f369]) ).

fof(f369,axiom,
    ~ p4(b,b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f2314,plain,
    p4(b,b,c),
    inference(subsumption_resolution,[],[f2313,f9]) ).

fof(f9,axiom,
    r0(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).

fof(f2313,plain,
    ( ~ r0(b)
    | p4(b,b,c) ),
    inference(resolution,[],[f2310,f323]) ).

fof(f323,axiom,
    ! [X4,X5] :
      ( ~ r3(X5,X4,X5)
      | ~ r0(X4)
      | p4(X4,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_285) ).

fof(f2310,plain,
    r3(c,b,c),
    inference(subsumption_resolution,[],[f2305,f1114]) ).

fof(f1114,plain,
    r2(c),
    inference(resolution,[],[f1112,f24]) ).

fof(f24,axiom,
    l0(c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).

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/sandbox2/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/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(f2305,plain,
    ( ~ r2(c)
    | r3(c,b,c) ),
    inference(resolution,[],[f2259,f1738]) ).

fof(f1738,plain,
    k2(b,c),
    inference(subsumption_resolution,[],[f1732,f372]) ).

fof(f372,plain,
    k1(c),
    inference(resolution,[],[f39,f26]) ).

fof(f26,axiom,
    n0(d,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).

fof(f39,axiom,
    ! [X2,X3] :
      ( ~ n0(X3,X2)
      | k1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).

fof(f1732,plain,
    ( k2(b,c)
    | ~ k1(c) ),
    inference(resolution,[],[f1511,f513]) ).

fof(f513,plain,
    k2(c,c),
    inference(resolution,[],[f167,f486]) ).

fof(f486,plain,
    q1(b,c,c),
    inference(resolution,[],[f133,f18]) ).

fof(f18,axiom,
    p0(c,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).

fof(f133,axiom,
    ! [X9,X4] :
      ( ~ p0(X4,X9)
      | q1(X9,X4,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_095) ).

fof(f167,axiom,
    ! [X3,X10] :
      ( ~ q1(X10,X3,X3)
      | k2(X3,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_129) ).

fof(f1511,plain,
    ! [X0,X1] :
      ( ~ k2(X0,X1)
      | k2(b,X1)
      | ~ k1(X0) ),
    inference(resolution,[],[f165,f659]) ).

fof(f659,plain,
    ! [X0] : m1(b,X0,b),
    inference(resolution,[],[f657,f9]) ).

fof(f657,plain,
    ! [X0,X1] :
      ( ~ r0(X0)
      | m1(X0,X1,X0) ),
    inference(resolution,[],[f45,f14]) ).

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

fof(f45,axiom,
    ! [X2,X4,X5] :
      ( ~ p0(X2,X5)
      | ~ r0(X4)
      | m1(X4,X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_007) ).

fof(f165,axiom,
    ! [X8,X6,X9,X7] :
      ( ~ m1(X8,X7,X6)
      | ~ k2(X9,X7)
      | k2(X6,X7)
      | ~ k1(X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_127) ).

fof(f2259,plain,
    ! [X0,X1] :
      ( ~ k2(X0,X1)
      | ~ r2(X1)
      | r3(X1,X0,X1) ),
    inference(resolution,[],[f310,f631]) ).

fof(f631,plain,
    ! [X0] : r3(X0,X0,X0),
    inference(resolution,[],[f305,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/sandbox2/benchmark/theBenchmark.p',axiom_19) ).

fof(f44,axiom,
    ! [X3,X10] :
      ( ~ m0(X10,X10,X3)
      | m1(X3,X3,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_006) ).

fof(f188,axiom,
    ! [X9,X4] :
      ( ~ m1(X4,X4,X9)
      | p2(X9,X9,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_150) ).

fof(f305,axiom,
    ! [X11,X6,X7] :
      ( ~ p2(X11,X7,X6)
      | r3(X11,X6,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_267) ).

fof(f310,axiom,
    ! [X3,X10,X11] :
      ( ~ r3(X11,X3,X3)
      | ~ k2(X10,X11)
      | ~ r2(X11)
      | r3(X3,X10,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_272) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SYN270-1 : TPTP v8.1.2. Released v1.1.0.
% 0.06/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n006.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   : Fri May  3 17:35:08 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.34  % (7165)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (7172)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  % (7167)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37  % (7166)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37  % (7168)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  % (7170)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37  % (7171)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37  % (7169)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38  Detected minimum model sizes of [1]
% 0.14/0.38  Detected maximum model sizes of [5]
% 0.14/0.38  TRYING [1]
% 0.21/0.39  Detected minimum model sizes of [1]
% 0.21/0.39  Detected maximum model sizes of [5]
% 0.21/0.39  TRYING [2]
% 0.21/0.39  TRYING [1]
% 0.21/0.39  TRYING [2]
% 0.21/0.39  TRYING [1,1,1,1,1,1]
% 0.21/0.39  TRYING [1,1,1,1,1,1,1,1,1]
% 0.21/0.39  TRYING [2,1,1,1,1,1]
% 0.21/0.39  TRYING [2,1,1,1,1,1,1,1,1]
% 0.21/0.39  % (7170)First to succeed.
% 0.21/0.40  TRYING [3]
% 0.21/0.40  % (7170)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7165"
% 0.21/0.40  % (7170)Refutation found. Thanks to Tanya!
% 0.21/0.40  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.40  % (7170)------------------------------
% 0.21/0.40  % (7170)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.40  % (7170)Termination reason: Refutation
% 0.21/0.40  
% 0.21/0.40  % (7170)Memory used [KB]: 1443
% 0.21/0.40  % (7170)Time elapsed: 0.027 s
% 0.21/0.40  % (7170)Instructions burned: 47 (million)
% 0.21/0.40  % (7165)Success in time 0.052 s
%------------------------------------------------------------------------------