TSTP Solution File: SYN686-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN686-1 : 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 : n029.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 19:28:06 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   43 (  13 unt;   0 def)
%            Number of atoms       :   86 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   84 (  41   ~;  38   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   6 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-2 aty)
%            Number of variables   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f121,plain,
    $false,
    inference(avatar_sat_refutation,[],[f74,f86,f89,f93,f116,f120]) ).

fof(f120,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f117]) ).

fof(f117,plain,
    ( $false
    | spl0_5 ),
    inference(resolution,[],[f115,f12]) ).

fof(f12,axiom,
    ! [X11] : p2(X11,X11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).

fof(f115,plain,
    ( ~ p2(c32,c32)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f113]) ).

fof(f113,plain,
    ( spl0_5
  <=> p2(c32,c32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f116,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | spl0_2 ),
    inference(avatar_split_clause,[],[f110,f71,f113,f83]) ).

fof(f83,plain,
    ( spl0_4
  <=> p3(c36,f7(c33,c34)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f71,plain,
    ( spl0_2
  <=> p4(c37,c35) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f110,plain,
    ( ~ p2(c32,c32)
    | ~ p3(c36,f7(c33,c34))
    | spl0_2 ),
    inference(resolution,[],[f107,f50]) ).

fof(f50,axiom,
    ! [X94,X95,X92,X93] :
      ( p4(f5(X92,X93),f5(X94,X95))
      | ~ p3(X93,X95)
      | ~ p2(X92,X94) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_50) ).

fof(f107,plain,
    ( ~ p4(f5(c32,c36),f5(c32,f7(c33,c34)))
    | spl0_2 ),
    inference(resolution,[],[f99,f19]) ).

fof(f19,axiom,
    p4(f5(c32,c36),c37),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_19) ).

fof(f99,plain,
    ( ! [X0] :
        ( ~ p4(X0,c37)
        | ~ p4(X0,f5(c32,f7(c33,c34))) )
    | spl0_2 ),
    inference(resolution,[],[f97,f27]) ).

fof(f27,axiom,
    ! [X4,X24,X25] :
      ( p4(X24,X25)
      | ~ p4(X4,X24)
      | ~ p4(X4,X25) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_27) ).

fof(f97,plain,
    ( ~ p4(f5(c32,f7(c33,c34)),c37)
    | spl0_2 ),
    inference(resolution,[],[f94,f20]) ).

fof(f20,axiom,
    p4(f5(c32,f7(c33,c34)),c35),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_20) ).

fof(f94,plain,
    ( ! [X0] :
        ( ~ p4(X0,c35)
        | ~ p4(X0,c37) )
    | spl0_2 ),
    inference(resolution,[],[f73,f27]) ).

fof(f73,plain,
    ( ~ p4(c37,c35)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f71]) ).

fof(f93,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f91]) ).

fof(f91,plain,
    ( $false
    | spl0_4 ),
    inference(resolution,[],[f85,f17]) ).

fof(f17,axiom,
    p3(c36,f7(c33,c34)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_17) ).

fof(f85,plain,
    ( ~ p3(c36,f7(c33,c34))
    | spl0_4 ),
    inference(avatar_component_clause,[],[f83]) ).

fof(f89,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f87]) ).

fof(f87,plain,
    ( $false
    | spl0_3 ),
    inference(resolution,[],[f81,f1]) ).

fof(f1,axiom,
    ! [X0] : p11(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_1) ).

fof(f81,plain,
    ( ~ p11(c39,c39)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f79]) ).

fof(f79,plain,
    ( spl0_3
  <=> p11(c39,c39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f86,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | spl0_1 ),
    inference(avatar_split_clause,[],[f76,f67,f83,f79]) ).

fof(f67,plain,
    ( spl0_1
  <=> p8(f12(c39,c36),f12(c39,f7(c33,c34))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f76,plain,
    ( ~ p3(c36,f7(c33,c34))
    | ~ p11(c39,c39)
    | spl0_1 ),
    inference(resolution,[],[f69,f51]) ).

fof(f51,axiom,
    ! [X98,X99,X96,X97] :
      ( p8(f12(X96,X97),f12(X98,X99))
      | ~ p11(X96,X98)
      | ~ p3(X97,X99) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_51) ).

fof(f69,plain,
    ( ~ p8(f12(c39,c36),f12(c39,f7(c33,c34)))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f67]) ).

fof(f74,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f64,f71,f67]) ).

fof(f64,plain,
    ( ~ p4(c37,c35)
    | ~ p8(f12(c39,c36),f12(c39,f7(c33,c34))) ),
    inference(resolution,[],[f62,f41]) ).

fof(f41,axiom,
    ! [X58,X59,X56,X57] :
      ( p9(f10(X56,X57),f10(X58,X59))
      | ~ p8(X56,X58)
      | ~ p4(X57,X59) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_41) ).

fof(f62,plain,
    ~ p9(f10(f12(c39,c36),c37),f10(f12(c39,f7(c33,c34)),c35)),
    inference(resolution,[],[f60,f21]) ).

fof(f21,axiom,
    p30(f10(f12(c39,c36),c37),c41),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p30_21) ).

fof(f60,plain,
    ! [X0] :
      ( ~ p30(X0,c41)
      | ~ p9(X0,f10(f12(c39,f7(c33,c34)),c35)) ),
    inference(resolution,[],[f59,f5]) ).

fof(f5,axiom,
    ! [X4] : p4(X4,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_5) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ~ p4(X1,c41)
      | ~ p9(X0,f10(f12(c39,f7(c33,c34)),c35))
      | ~ p30(X0,X1) ),
    inference(resolution,[],[f39,f22]) ).

fof(f22,axiom,
    ~ p30(f10(f12(c39,f7(c33,c34)),c35),c41),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p30_22) ).

fof(f39,axiom,
    ! [X50,X51,X48,X49] :
      ( p30(X48,X49)
      | ~ p30(X51,X50)
      | ~ p4(X50,X49)
      | ~ p9(X51,X48) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p30_39) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SYN686-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 22:25:42 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.49  % (9724)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.49  % (9740)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.50  % (9724)Instruction limit reached!
% 0.19/0.50  % (9724)------------------------------
% 0.19/0.50  % (9724)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (9719)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.50  % (9723)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)
% 0.19/0.50  % (9724)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (9724)Termination reason: Unknown
% 0.19/0.50  % (9724)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (9724)Memory used [KB]: 5884
% 0.19/0.50  % (9724)Time elapsed: 0.083 s
% 0.19/0.50  % (9724)Instructions burned: 3 (million)
% 0.19/0.50  % (9724)------------------------------
% 0.19/0.50  % (9724)------------------------------
% 0.19/0.50  % (9741)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.19/0.50  % (9721)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.50  % (9722)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)
% 0.19/0.50  % (9733)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.50  % (9732)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51  % (9732)Instruction limit reached!
% 0.19/0.51  % (9732)------------------------------
% 0.19/0.51  % (9732)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (9721)First to succeed.
% 0.19/0.51  % (9721)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (9721)------------------------------
% 0.19/0.51  % (9721)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (9721)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (9721)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (9721)Memory used [KB]: 6012
% 0.19/0.51  % (9721)Time elapsed: 0.101 s
% 0.19/0.51  % (9721)Instructions burned: 4 (million)
% 0.19/0.51  % (9721)------------------------------
% 0.19/0.51  % (9721)------------------------------
% 0.19/0.51  % (9715)Success in time 0.153 s
%------------------------------------------------------------------------------