TSTP Solution File: SYN575-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN575-1 : 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 12:11:34 EDT 2024

% Result   : Unsatisfiable 0.20s 0.38s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   30 (  12 unt;   0 def)
%            Number of atoms       :   67 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   72 (  35   ~;  37   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   33 (  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1120,plain,
    $false,
    inference(subsumption_resolution,[],[f1119,f1103]) ).

fof(f1103,plain,
    ~ p9(f8(c13,f5(c14)),f6(f5(c14))),
    inference(subsumption_resolution,[],[f1102,f5]) ).

fof(f5,axiom,
    p9(c12,c13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_5) ).

fof(f1102,plain,
    ( ~ p9(c12,c13)
    | ~ p9(f8(c13,f5(c14)),f6(f5(c14))) ),
    inference(subsumption_resolution,[],[f1099,f4]) ).

fof(f4,axiom,
    ! [X3] : p2(X3,X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).

fof(f1099,plain,
    ( ~ p2(f5(c14),f5(c14))
    | ~ p9(c12,c13)
    | ~ p9(f8(c13,f5(c14)),f6(f5(c14))) ),
    inference(resolution,[],[f1097,f432]) ).

fof(f432,plain,
    ! [X0,X1] :
      ( ~ p9(f8(X0,X1),X0)
      | ~ p2(X1,f5(c14))
      | ~ p9(c12,X0)
      | ~ p9(f8(X0,X1),f6(X1)) ),
    inference(resolution,[],[f22,f6]) ).

fof(f6,axiom,
    p11(c14,c15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_6) ).

fof(f22,axiom,
    ! [X34,X35,X33] :
      ( ~ p11(X35,c15)
      | ~ p9(c12,X33)
      | ~ p2(X34,f5(X35))
      | ~ p9(f8(X33,X34),X33)
      | ~ p9(f8(X33,X34),f6(X34)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_22) ).

fof(f1097,plain,
    p9(f8(c13,f5(c14)),c13),
    inference(resolution,[],[f1096,f9]) ).

fof(f9,axiom,
    ! [X6] :
      ( ~ p9(X6,f6(c14))
      | p9(X6,c13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_9) ).

fof(f1096,plain,
    p9(f8(c13,f5(c14)),f6(c14)),
    inference(subsumption_resolution,[],[f1095,f10]) ).

fof(f10,axiom,
    ! [X6] :
      ( ~ p9(X6,c13)
      | p9(X6,f6(c14)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_10) ).

fof(f1095,plain,
    ( p9(f8(c13,f5(c14)),c13)
    | p9(f8(c13,f5(c14)),f6(c14)) ),
    inference(resolution,[],[f962,f2]) ).

fof(f2,axiom,
    ! [X1] : p7(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_2) ).

fof(f962,plain,
    ! [X0] :
      ( ~ p7(f8(c13,f5(c14)),X0)
      | p9(f8(c13,f5(c14)),c13)
      | p9(X0,f6(c14)) ),
    inference(resolution,[],[f663,f8]) ).

fof(f8,axiom,
    ! [X5] : p3(f6(f5(X5)),f6(X5)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_8) ).

fof(f663,plain,
    ! [X0,X1] :
      ( ~ p3(f6(f5(c14)),X0)
      | p9(f8(c13,f5(c14)),c13)
      | ~ p7(f8(c13,f5(c14)),X1)
      | p9(X1,X0) ),
    inference(resolution,[],[f662,f19]) ).

fof(f19,axiom,
    ! [X28,X26,X27,X25] :
      ( ~ p9(X27,X28)
      | ~ p3(X28,X26)
      | ~ p7(X27,X25)
      | p9(X25,X26) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_19) ).

fof(f662,plain,
    ( p9(f8(c13,f5(c14)),f6(f5(c14)))
    | p9(f8(c13,f5(c14)),c13) ),
    inference(resolution,[],[f517,f4]) ).

fof(f517,plain,
    ! [X0] :
      ( ~ p2(X0,f5(c14))
      | p9(f8(c13,X0),c13)
      | p9(f8(c13,X0),f6(X0)) ),
    inference(resolution,[],[f313,f5]) ).

fof(f313,plain,
    ! [X0,X1] :
      ( ~ p9(c12,X0)
      | ~ p2(X1,f5(c14))
      | p9(f8(X0,X1),X0)
      | p9(f8(X0,X1),f6(X1)) ),
    inference(resolution,[],[f21,f6]) ).

fof(f21,axiom,
    ! [X34,X35,X33] :
      ( ~ p11(X35,c15)
      | ~ p9(c12,X33)
      | ~ p2(X34,f5(X35))
      | p9(f8(X33,X34),X33)
      | p9(f8(X33,X34),f6(X34)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_21) ).

fof(f1119,plain,
    p9(f8(c13,f5(c14)),f6(f5(c14))),
    inference(resolution,[],[f1107,f2]) ).

fof(f1107,plain,
    ! [X0] :
      ( ~ p7(f8(c13,f5(c14)),X0)
      | p9(X0,f6(f5(c14))) ),
    inference(resolution,[],[f1098,f37]) ).

fof(f37,plain,
    ! [X0] : p3(f6(X0),f6(f5(X0))),
    inference(resolution,[],[f32,f8]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ~ p3(X0,X1)
      | p3(X1,X0) ),
    inference(resolution,[],[f16,f3]) ).

fof(f3,axiom,
    ! [X2] : p3(X2,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_3) ).

fof(f16,axiom,
    ! [X2,X18,X17] :
      ( ~ p3(X2,X18)
      | ~ p3(X2,X17)
      | p3(X17,X18) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_16) ).

fof(f1098,plain,
    ! [X0,X1] :
      ( ~ p3(f6(c14),X0)
      | ~ p7(f8(c13,f5(c14)),X1)
      | p9(X1,X0) ),
    inference(resolution,[],[f1096,f19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYN575-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n022.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 17:25:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (18081)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36  % (18088)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.20/0.37  % (18085)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.37  % (18086)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)
% 0.20/0.37  % (18089)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.20/0.37  % (18087)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.20/0.37  % (18090)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)
% 0.20/0.37  Detected minimum model sizes of [1,1,1,1]
% 0.20/0.37  Detected maximum model sizes of [max,max,max,1]
% 0.20/0.37  TRYING [1,1,1,1]
% 0.20/0.37  TRYING [1]
% 0.20/0.37  Detected minimum model sizes of [1,1,1,1]
% 0.20/0.37  Detected maximum model sizes of [max,max,max,1]
% 0.20/0.37  % (18084)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.37  TRYING [1,1,1,1]
% 0.20/0.37  TRYING [1,2,1,1]
% 0.20/0.37  TRYING [2]
% 0.20/0.37  TRYING [1,2,1,1]
% 0.20/0.37  TRYING [2,2,1,1]
% 0.20/0.37  TRYING [2,2,1,1]
% 0.20/0.37  TRYING [1,3,1,1]
% 0.20/0.37  TRYING [1]
% 0.20/0.37  TRYING [1,3,1,1]
% 0.20/0.37  TRYING [2]
% 0.20/0.37  TRYING [3]
% 0.20/0.37  TRYING [1,2,2,1]
% 0.20/0.37  TRYING [1,2,2,1]
% 0.20/0.37  TRYING [2,3,1,1]
% 0.20/0.37  TRYING [2,3,1,1]
% 0.20/0.37  TRYING [3]
% 0.20/0.37  TRYING [2,2,2,1]
% 0.20/0.37  TRYING [2,2,2,1]
% 0.20/0.37  TRYING [1,4,1,1]
% 0.20/0.37  TRYING [1,4,1,1]
% 0.20/0.37  % (18088)First to succeed.
% 0.20/0.37  TRYING [4]
% 0.20/0.37  TRYING [1,3,2,1]
% 0.20/0.37  % (18088)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18081"
% 0.20/0.38  TRYING [1,3,2,1]
% 0.20/0.38  TRYING [4]
% 0.20/0.38  % (18088)Refutation found. Thanks to Tanya!
% 0.20/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.38  % (18088)------------------------------
% 0.20/0.38  % (18088)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.38  % (18088)Termination reason: Refutation
% 0.20/0.38  
% 0.20/0.38  % (18088)Memory used [KB]: 951
% 0.20/0.38  % (18088)Time elapsed: 0.015 s
% 0.20/0.38  % (18088)Instructions burned: 41 (million)
% 0.20/0.38  % (18081)Success in time 0.027 s
%------------------------------------------------------------------------------