TSTP Solution File: SYN628-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN628-1 : 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 : n012.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 19:27:56 EDT 2022

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   29 (   8 unt;   0 def)
%            Number of atoms       :   61 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   66 (  34   ~;  30   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    6 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   7 con; 0-2 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f75,plain,
    $false,
    inference(avatar_sat_refutation,[],[f62,f67,f74]) ).

fof(f74,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f73]) ).

fof(f73,plain,
    ( $false
    | spl0_2 ),
    inference(subsumption_resolution,[],[f72,f2]) ).

fof(f2,axiom,
    ! [X1] : p9(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_2) ).

fof(f72,plain,
    ( ~ p9(c27,c27)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f70,f6]) ).

fof(f6,axiom,
    p9(c28,c22),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_6) ).

fof(f70,plain,
    ( ~ p9(c28,c22)
    | ~ p9(c27,c27)
    | spl0_2 ),
    inference(resolution,[],[f68,f29]) ).

fof(f29,axiom,
    ! [X50,X48,X49,X47] :
      ( p9(f17(X47,X48),f17(X49,X50))
      | ~ p9(X47,X49)
      | ~ p9(X48,X50) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_29) ).

fof(f68,plain,
    ( ~ p9(f17(c28,c27),f17(c22,c27))
    | spl0_2 ),
    inference(resolution,[],[f61,f13]) ).

fof(f13,axiom,
    ! [X6,X5] :
      ( p9(f16(X5),f16(X6))
      | ~ p9(X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_13) ).

fof(f61,plain,
    ( ~ p9(f16(f17(c28,c27)),f16(f17(c22,c27)))
    | spl0_2 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f60,plain,
    ( spl0_2
  <=> p9(f16(f17(c28,c27)),f16(f17(c22,c27))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f67,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f66]) ).

fof(f66,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f65,f1]) ).

fof(f1,axiom,
    ! [X0] : p2(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).

fof(f65,plain,
    ( ~ p2(f7(c23,f8(c24,c25)),f7(c23,f8(c24,c25)))
    | spl0_1 ),
    inference(subsumption_resolution,[],[f63,f6]) ).

fof(f63,plain,
    ( ~ p9(c28,c22)
    | ~ p2(f7(c23,f8(c24,c25)),f7(c23,f8(c24,c25)))
    | spl0_1 ),
    inference(resolution,[],[f58,f30]) ).

fof(f30,axiom,
    ! [X51,X54,X52,X53] :
      ( p9(f15(X51,X52),f15(X53,X54))
      | ~ p2(X51,X53)
      | ~ p9(X52,X54) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_30) ).

fof(f58,plain,
    ( ~ p9(f15(f7(c23,f8(c24,c25)),c28),f15(f7(c23,f8(c24,c25)),c22))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f57]) ).

fof(f57,plain,
    ( spl0_1
  <=> p9(f15(f7(c23,f8(c24,c25)),c28),f15(f7(c23,f8(c24,c25)),c22)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f62,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f52,f60,f57]) ).

fof(f52,plain,
    ( ~ p9(f16(f17(c28,c27)),f16(f17(c22,c27)))
    | ~ p9(f15(f7(c23,f8(c24,c25)),c28),f15(f7(c23,f8(c24,c25)),c22)) ),
    inference(subsumption_resolution,[],[f51,f2]) ).

fof(f51,plain,
    ( ~ p9(f11(f12(f13(f14(c29)))),f11(f12(f13(f14(c29)))))
    | ~ p9(f16(f17(c28,c27)),f16(f17(c22,c27)))
    | ~ p9(f15(f7(c23,f8(c24,c25)),c28),f15(f7(c23,f8(c24,c25)),c22)) ),
    inference(resolution,[],[f42,f34]) ).

fof(f34,axiom,
    p20(f16(f17(c28,c27)),f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29)))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_34) ).

fof(f42,plain,
    ! [X6,X4,X5] :
      ( ~ p20(X4,f10(X5,X6))
      | ~ p9(X6,f11(f12(f13(f14(c29)))))
      | ~ p9(X4,f16(f17(c22,c27)))
      | ~ p9(X5,f15(f7(c23,f8(c24,c25)),c22)) ),
    inference(resolution,[],[f38,f31]) ).

fof(f31,axiom,
    ! [X58,X56,X57,X55] :
      ( p9(f10(X55,X56),f10(X57,X58))
      | ~ p9(X56,X58)
      | ~ p9(X55,X57) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_31) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ~ p9(X1,f10(f15(f7(c23,f8(c24,c25)),c22),f11(f12(f13(f14(c29))))))
      | ~ p20(X0,X1)
      | ~ p9(X0,f16(f17(c22,c27))) ),
    inference(resolution,[],[f35,f26]) ).

fof(f26,axiom,
    ! [X38,X36,X37,X35] :
      ( p20(X35,X36)
      | ~ p20(X37,X38)
      | ~ p9(X37,X35)
      | ~ p9(X38,X36) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_26) ).

fof(f35,axiom,
    ~ p20(f16(f17(c22,c27)),f10(f15(f7(c23,f8(c24,c25)),c22),f11(f12(f13(f14(c29)))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p20_35) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN628-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n012.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 Aug 30 22:11:20 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  % (8051)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.21/0.50  % (8062)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)
% 0.21/0.50  % (8054)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)
% 0.21/0.50  % (8055)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)
% 0.21/0.50  TRYING [1]
% 0.21/0.50  % (8055)Instruction limit reached!
% 0.21/0.50  % (8055)------------------------------
% 0.21/0.50  % (8055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (8055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (8055)Termination reason: Unknown
% 0.21/0.50  % (8055)Termination phase: Finite model building SAT solving
% 0.21/0.50  
% 0.21/0.50  % (8055)Memory used [KB]: 6012
% 0.21/0.50  % (8055)Time elapsed: 0.097 s
% 0.21/0.50  % (8055)Instructions burned: 6 (million)
% 0.21/0.50  % (8055)------------------------------
% 0.21/0.50  % (8055)------------------------------
% 0.21/0.51  % (8046)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)
% 0.21/0.51  % (8063)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)
% 0.21/0.51  % (8044)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.21/0.51  % (8047)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)
% 0.21/0.52  % (8063)First to succeed.
% 0.21/0.52  % (8063)Refutation found. Thanks to Tanya!
% 0.21/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52  % (8063)------------------------------
% 0.21/0.52  % (8063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (8063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (8063)Termination reason: Refutation
% 0.21/0.52  
% 0.21/0.52  % (8063)Memory used [KB]: 5884
% 0.21/0.52  % (8063)Time elapsed: 0.108 s
% 0.21/0.52  % (8063)Instructions burned: 4 (million)
% 0.21/0.52  % (8063)------------------------------
% 0.21/0.52  % (8063)------------------------------
% 0.21/0.52  % (8039)Success in time 0.167 s
%------------------------------------------------------------------------------