TSTP Solution File: SYN624-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN624-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n022.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 12:11:43 EDT 2024

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (   9 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   15 (   8   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3006,plain,
    $false,
    inference(subsumption_resolution,[],[f3004,f28]) ).

fof(f28,axiom,
    ~ p10(f13(f6(c24),c26),f13(f6(c22),f14(f15(f7(c25))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p10_28) ).

fof(f3004,plain,
    p10(f13(f6(c24),c26),f13(f6(c22),f14(f15(f7(c25))))),
    inference(resolution,[],[f698,f682]) ).

fof(f682,plain,
    ! [X0,X1] : p10(f13(X0,f16(X1,f14(f15(f7(c25))))),f13(X0,X1)),
    inference(resolution,[],[f680,f11]) ).

fof(f11,axiom,
    ! [X7] : p10(f16(X7,f14(f15(f7(c25)))),X7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_11) ).

fof(f680,plain,
    ! [X2,X0,X1] :
      ( ~ p10(X0,X1)
      | p10(f13(X2,X0),f13(X2,X1)) ),
    inference(resolution,[],[f32,f2]) ).

fof(f2,axiom,
    ! [X1] : p5(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_2) ).

fof(f32,axiom,
    ! [X50,X51,X48,X49] :
      ( ~ p5(X48,X50)
      | ~ p10(X49,X51)
      | p10(f13(X48,X49),f13(X50,X51)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_32) ).

fof(f698,plain,
    ! [X0,X1] :
      ( ~ p10(f13(f6(c24),f16(c26,X0)),X1)
      | p10(X1,f13(f6(c22),X0)) ),
    inference(resolution,[],[f261,f21]) ).

fof(f21,axiom,
    ! [X0,X24,X25] :
      ( ~ p10(X0,X25)
      | ~ p10(X0,X24)
      | p10(X24,X25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_21) ).

fof(f261,plain,
    ! [X0] : p10(f13(f6(c24),f16(c26,X0)),f13(f6(c22),X0)),
    inference(resolution,[],[f26,f103]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ~ p10(X0,X1)
      | p10(X1,X0) ),
    inference(resolution,[],[f21,f1]) ).

fof(f1,axiom,
    ! [X0] : p10(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_1) ).

fof(f26,axiom,
    ! [X34] : p10(f13(f6(c22),X34),f13(f6(c24),f16(c26,X34))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_26) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.19  % Problem    : SYN624-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.21  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.42  % Computer : n022.cluster.edu
% 0.14/0.42  % Model    : x86_64 x86_64
% 0.14/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.42  % Memory   : 8042.1875MB
% 0.14/0.42  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.43  % CPULimit   : 300
% 0.14/0.43  % WCLimit    : 300
% 0.14/0.43  % DateTime   : Fri May  3 17:54:53 EDT 2024
% 0.14/0.43  % CPUTime    : 
% 0.14/0.43  % (493)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.44  % (497)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.44  Detected minimum model sizes of [1,1]
% 0.14/0.44  Detected maximum model sizes of [2,max]
% 0.14/0.44  TRYING [1,1]
% 0.14/0.44  TRYING [1,2]
% 0.14/0.44  TRYING [2,2]
% 0.14/0.45  TRYING [1,3]
% 0.14/0.45  % (494)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.45  % (495)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.45  % (496)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)
% 0.14/0.45  % (502)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.45  % (511)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.45  % (512)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)
% 0.14/0.45  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1]
% 0.14/0.45  Detected maximum model sizes of [2,max,max,max,max,max,max,max,max]
% 0.14/0.45  TRYING [1]
% 0.14/0.45  TRYING [2,3]
% 0.14/0.45  TRYING [2]
% 0.14/0.45  TRYING [1]
% 0.14/0.45  TRYING [1,1,1,1,1,1,1,1,1]
% 0.14/0.45  TRYING [1,2,1,1,1,1,1,1,1]
% 0.14/0.45  TRYING [2]
% 0.14/0.45  TRYING [2,2,1,1,1,1,1,1,1]
% 0.14/0.45  TRYING [1,4]
% 0.14/0.45  TRYING [3]
% 0.14/0.46  TRYING [3]
% 0.14/0.46  TRYING [1,3,1,1,1,1,1,1,1]
% 0.14/0.46  TRYING [2,4]
% 0.14/0.46  TRYING [2,3,1,1,1,1,1,1,1]
% 0.14/0.46  TRYING [4]
% 0.14/0.46  TRYING [4]
% 0.14/0.47  TRYING [1,5]
% 0.14/0.47  TRYING [1,4,1,1,1,1,1,1,1]
% 0.14/0.48  TRYING [5]
% 0.14/0.48  TRYING [2,4,1,1,1,1,1,1,1]
% 0.14/0.48  TRYING [2,5]
% 0.14/0.48  TRYING [5]
% 0.14/0.49  TRYING [1,5,1,1,1,1,1,1,1]
% 0.14/0.49  TRYING [1,6]
% 0.20/0.50  % (502)First to succeed.
% 0.20/0.50  % (502)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-493"
% 0.20/0.50  % (502)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (502)------------------------------
% 0.20/0.50  % (502)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.50  % (502)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (502)Memory used [KB]: 1751
% 0.20/0.50  % (502)Time elapsed: 0.056 s
% 0.20/0.50  % (502)Instructions burned: 99 (million)
% 0.20/0.50  % (493)Success in time 0.073 s
%------------------------------------------------------------------------------