TSTP Solution File: SYN592-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN592-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n025.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 : Wed Aug 31 19:27:50 EDT 2022

% Result   : Unsatisfiable 1.72s 0.59s
% Output   : Refutation 1.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   32 (   8 unt;   0 def)
%            Number of atoms       :   84 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  109 (  57   ~;  50   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   3 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   34 (  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f123,plain,
    $false,
    inference(avatar_sat_refutation,[],[f67,f83,f122]) ).

fof(f122,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f121]) ).

fof(f121,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f119,f11]) ).

fof(f11,axiom,
    p12(c14,f4(c18,c17)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_11) ).

fof(f119,plain,
    ( ~ p12(c14,f4(c18,c17))
    | ~ spl0_1 ),
    inference(resolution,[],[f118,f22]) ).

fof(f22,axiom,
    ! [X19] :
      ( p2(f6(X19),f5(X19))
      | ~ p12(c14,f4(X19,c17)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_22) ).

fof(f118,plain,
    ( ~ p2(f6(c18),f5(c18))
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f116,f4]) ).

fof(f4,axiom,
    ! [X1] : p2(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).

fof(f116,plain,
    ( ~ p2(c17,c17)
    | ~ p2(f6(c18),f5(c18))
    | ~ spl0_1 ),
    inference(resolution,[],[f87,f26]) ).

fof(f26,axiom,
    ! [X34,X35,X32,X33] :
      ( p3(f4(X32,X33),f4(X34,X35))
      | ~ p2(X32,X34)
      | ~ p2(X33,X35) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_26) ).

fof(f87,plain,
    ( ~ p3(f4(f6(c18),c17),f4(f5(c18),c17))
    | ~ spl0_1 ),
    inference(resolution,[],[f84,f13]) ).

fof(f13,axiom,
    ~ p11(c13,f4(f5(c18),c17)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_13) ).

fof(f84,plain,
    ( ! [X0] :
        ( p11(c13,X0)
        | ~ p3(f4(f6(c18),c17),X0) )
    | ~ spl0_1 ),
    inference(resolution,[],[f63,f3]) ).

fof(f3,axiom,
    ! [X0] : p7(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_3) ).

fof(f63,plain,
    ( ! [X3,X1] :
        ( ~ p7(c13,X3)
        | p11(X3,X1)
        | ~ p3(f4(f6(c18),c17),X1) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f62]) ).

fof(f62,plain,
    ( spl0_1
  <=> ! [X1,X3] :
        ( p11(X3,X1)
        | ~ p3(f4(f6(c18),c17),X1)
        | ~ p7(c13,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f83,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f82]) ).

fof(f82,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f80,f11]) ).

fof(f80,plain,
    ( ~ p12(c14,f4(c18,c17))
    | ~ spl0_2 ),
    inference(resolution,[],[f75,f22]) ).

fof(f75,plain,
    ( ~ p2(f6(c18),f5(c18))
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f73,f4]) ).

fof(f73,plain,
    ( ~ p2(f6(c18),f5(c18))
    | ~ p2(c17,c17)
    | ~ spl0_2 ),
    inference(resolution,[],[f70,f26]) ).

fof(f70,plain,
    ( ~ p3(f4(c17,f6(c18)),f4(c17,f5(c18)))
    | ~ spl0_2 ),
    inference(resolution,[],[f68,f12]) ).

fof(f12,axiom,
    ~ p11(c13,f4(c17,f5(c18))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_12) ).

fof(f68,plain,
    ( ! [X0] :
        ( p11(c13,X0)
        | ~ p3(f4(c17,f6(c18)),X0) )
    | ~ spl0_2 ),
    inference(resolution,[],[f66,f3]) ).

fof(f66,plain,
    ( ! [X2,X0] :
        ( ~ p7(c13,X0)
        | p11(X0,X2)
        | ~ p3(f4(c17,f6(c18)),X2) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f65]) ).

fof(f65,plain,
    ( spl0_2
  <=> ! [X2,X0] :
        ( ~ p3(f4(c17,f6(c18)),X2)
        | ~ p7(c13,X0)
        | p11(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f67,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f57,f65,f62]) ).

fof(f57,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p3(f4(c17,f6(c18)),X2)
      | ~ p7(c13,X0)
      | p11(X3,X1)
      | p11(X0,X2)
      | ~ p7(c13,X3)
      | ~ p3(f4(f6(c18),c17),X1) ),
    inference(resolution,[],[f41,f11]) ).

fof(f41,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ p12(c14,f4(X0,c17))
      | ~ p7(c13,X3)
      | ~ p3(f4(f6(X0),c17),X1)
      | ~ p3(f4(c17,f6(X0)),X4)
      | ~ p7(c13,X2)
      | p11(X2,X1)
      | p11(X3,X4) ),
    inference(resolution,[],[f38,f25]) ).

fof(f25,axiom,
    ! [X31,X28,X29,X30] :
      ( ~ p11(X31,X30)
      | p11(X28,X29)
      | ~ p7(X31,X28)
      | ~ p3(X30,X29) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_25) ).

fof(f38,plain,
    ! [X2,X0,X1] :
      ( p11(c13,f4(c17,f6(X0)))
      | ~ p3(f4(f6(X0),c17),X2)
      | ~ p7(c13,X1)
      | ~ p12(c14,f4(X0,c17))
      | p11(X1,X2) ),
    inference(resolution,[],[f27,f25]) ).

fof(f27,axiom,
    ! [X36] :
      ( p11(c13,f4(f6(X36),c17))
      | p11(c13,f4(c17,f6(X36)))
      | ~ p12(c14,f4(X36,c17)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_27) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SYN592-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n025.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 22:18:45 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.55  % (32534)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 1.53/0.56  % (32526)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.53/0.57  % (32543)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.53/0.57  % (32535)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.53/0.57  TRYING [1]
% 1.53/0.58  TRYING [2]
% 1.53/0.58  % (32542)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 1.72/0.58  % (32527)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.72/0.58  % (32535)Instruction limit reached!
% 1.72/0.58  % (32535)------------------------------
% 1.72/0.58  % (32535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.58  % (32535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.58  % (32535)Termination reason: Unknown
% 1.72/0.58  % (32535)Termination phase: Finite model building SAT solving
% 1.72/0.58  
% 1.72/0.58  % (32535)Memory used [KB]: 6012
% 1.72/0.58  % (32535)Time elapsed: 0.083 s
% 1.72/0.58  % (32535)Instructions burned: 6 (million)
% 1.72/0.58  % (32535)------------------------------
% 1.72/0.58  % (32535)------------------------------
% 1.72/0.59  % (32543)First to succeed.
% 1.72/0.59  % (32543)Refutation found. Thanks to Tanya!
% 1.72/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.72/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.72/0.59  % (32543)------------------------------
% 1.72/0.59  % (32543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.59  % (32543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.59  % (32543)Termination reason: Refutation
% 1.72/0.59  
% 1.72/0.59  % (32543)Memory used [KB]: 6012
% 1.72/0.59  % (32543)Time elapsed: 0.092 s
% 1.72/0.59  % (32543)Instructions burned: 8 (million)
% 1.72/0.59  % (32543)------------------------------
% 1.72/0.59  % (32543)------------------------------
% 1.72/0.59  % (32519)Success in time 0.232 s
%------------------------------------------------------------------------------