TSTP Solution File: SYN001-1.005 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN001-1.005 : TPTP v8.1.0. Released v1.0.0.
% 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 : n010.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 19:25:09 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   37
% Syntax   : Number of formulae    :   70 (   1 unt;   0 def)
%            Number of atoms       :  331 (   0 equ)
%            Maximal formula atoms :    5 (   4 avg)
%            Number of connectives :  421 ( 160   ~; 256   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   5 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   11 (  10 usr;  11 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f85,plain,
    $false,
    inference(avatar_sat_refutation,[],[f53,f54,f55,f56,f57,f58,f59,f60,f61,f62,f63,f64,f65,f66,f67,f68,f69,f70,f71,f72,f73,f74,f75,f76,f77,f78,f79,f80,f81,f82,f83,f84]) ).

fof(f84,plain,
    ( spl0_2
    | spl0_1
    | ~ spl0_3
    | spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f6,f50,f46,f42,f34,f38]) ).

fof(f38,plain,
    ( spl0_2
  <=> p_4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f34,plain,
    ( spl0_1
  <=> p_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f42,plain,
    ( spl0_3
  <=> p_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f46,plain,
    ( spl0_4
  <=> p_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f50,plain,
    ( spl0_5
  <=> p_5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f6,axiom,
    ( ~ p_5
    | p_2
    | ~ p_3
    | p_1
    | p_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppnpn) ).

fof(f83,plain,
    ( spl0_2
    | spl0_4
    | spl0_1
    | spl0_3
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f2,f50,f42,f34,f46,f38]) ).

fof(f2,axiom,
    ( ~ p_5
    | p_3
    | p_1
    | p_2
    | p_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppppn) ).

fof(f82,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | spl0_5
    | spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f11,f34,f42,f50,f46,f38]) ).

fof(f11,axiom,
    ( p_1
    | p_3
    | p_5
    | ~ p_2
    | ~ p_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnpnp) ).

fof(f81,plain,
    ( ~ spl0_4
    | ~ spl0_2
    | spl0_1
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f16,f50,f42,f34,f38,f46]) ).

fof(f16,axiom,
    ( ~ p_5
    | ~ p_3
    | p_1
    | ~ p_4
    | ~ p_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnnnn) ).

fof(f80,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f15,f50,f42,f46,f38,f34]) ).

fof(f15,axiom,
    ( p_5
    | ~ p_3
    | ~ p_2
    | ~ p_4
    | p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnnnp) ).

fof(f79,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_5
    | spl0_1
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f13,f46,f34,f50,f42,f38]) ).

fof(f13,axiom,
    ( ~ p_2
    | p_1
    | p_5
    | ~ p_3
    | p_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnnpp) ).

fof(f78,plain,
    ( spl0_5
    | ~ spl0_3
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(avatar_split_clause,[],[f23,f46,f38,f34,f42,f50]) ).

fof(f23,axiom,
    ( p_2
    | ~ p_4
    | ~ p_1
    | ~ p_3
    | p_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',npnnp) ).

fof(f77,plain,
    ( spl0_4
    | spl0_3
    | spl0_2
    | spl0_1
    | spl0_5 ),
    inference(avatar_split_clause,[],[f1,f50,f34,f38,f42,f46]) ).

fof(f1,axiom,
    ( p_5
    | p_1
    | p_4
    | p_3
    | p_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppppp) ).

fof(f76,plain,
    ( ~ spl0_3
    | ~ spl0_5
    | spl0_4
    | ~ spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f24,f34,f38,f46,f50,f42]) ).

fof(f24,axiom,
    ( ~ p_1
    | ~ p_4
    | p_2
    | ~ p_5
    | ~ p_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',npnnn) ).

fof(f75,plain,
    ( spl0_2
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | spl0_4 ),
    inference(avatar_split_clause,[],[f22,f46,f50,f42,f34,f38]) ).

fof(f22,axiom,
    ( p_2
    | ~ p_5
    | ~ p_3
    | ~ p_1
    | p_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',npnpn) ).

fof(f74,plain,
    ( spl0_2
    | ~ spl0_1
    | spl0_5
    | ~ spl0_4
    | spl0_3 ),
    inference(avatar_split_clause,[],[f25,f42,f46,f50,f34,f38]) ).

fof(f25,axiom,
    ( p_3
    | ~ p_2
    | p_5
    | ~ p_1
    | p_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnppp) ).

fof(f73,plain,
    ( spl0_4
    | ~ spl0_1
    | spl0_3
    | ~ spl0_5
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f20,f38,f50,f42,f34,f46]) ).

fof(f20,axiom,
    ( ~ p_4
    | ~ p_5
    | p_3
    | ~ p_1
    | p_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nppnn) ).

fof(f72,plain,
    ( spl0_4
    | spl0_1
    | ~ spl0_5
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f8,f42,f38,f50,f34,f46]) ).

fof(f8,axiom,
    ( ~ p_3
    | ~ p_4
    | ~ p_5
    | p_1
    | p_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppnnn) ).

fof(f71,plain,
    ( ~ spl0_5
    | spl0_4
    | spl0_2
    | ~ spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f18,f42,f34,f38,f46,f50]) ).

fof(f18,axiom,
    ( p_3
    | ~ p_1
    | p_4
    | p_2
    | ~ p_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',npppn) ).

fof(f70,plain,
    ( spl0_4
    | spl0_5
    | ~ spl0_1
    | spl0_3
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f19,f38,f42,f34,f50,f46]) ).

fof(f19,axiom,
    ( ~ p_4
    | p_3
    | ~ p_1
    | p_5
    | p_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nppnp) ).

fof(f69,plain,
    ( spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f30,f46,f34,f50,f42,f38]) ).

fof(f30,axiom,
    ( ~ p_2
    | ~ p_1
    | ~ p_5
    | ~ p_3
    | p_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnnpn) ).

fof(f68,plain,
    ( spl0_5
    | spl0_1
    | ~ spl0_2
    | spl0_4
    | spl0_3 ),
    inference(avatar_split_clause,[],[f3,f42,f46,f38,f34,f50]) ).

fof(f3,axiom,
    ( p_3
    | p_2
    | ~ p_4
    | p_1
    | p_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pppnp) ).

fof(f67,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_3
    | ~ spl0_4
    | spl0_1 ),
    inference(avatar_split_clause,[],[f12,f34,f46,f42,f50,f38]) ).

fof(f12,axiom,
    ( p_1
    | ~ p_2
    | p_3
    | ~ p_5
    | ~ p_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnpnn) ).

fof(f66,plain,
    ( ~ spl0_4
    | spl0_3
    | ~ spl0_5
    | spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f26,f34,f38,f50,f42,f46]) ).

fof(f26,axiom,
    ( ~ p_1
    | p_4
    | ~ p_5
    | p_3
    | ~ p_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnppn) ).

fof(f65,plain,
    ( ~ spl0_2
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f28,f50,f46,f42,f34,f38]) ).

fof(f28,axiom,
    ( ~ p_5
    | ~ p_2
    | p_3
    | ~ p_1
    | ~ p_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnpnn) ).

fof(f64,plain,
    ( spl0_5
    | spl0_4
    | spl0_2
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f5,f34,f42,f38,f46,f50]) ).

fof(f5,axiom,
    ( p_1
    | ~ p_3
    | p_4
    | p_2
    | p_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppnpp) ).

fof(f63,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f32,f42,f34,f50,f46,f38]) ).

fof(f32,axiom,
    ( ~ p_3
    | ~ p_1
    | ~ p_5
    | ~ p_2
    | ~ p_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnnnn) ).

fof(f62,plain,
    ( ~ spl0_4
    | spl0_2
    | ~ spl0_5
    | spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f10,f42,f34,f50,f38,f46]) ).

fof(f10,axiom,
    ( p_3
    | p_1
    | ~ p_5
    | p_4
    | ~ p_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnppn) ).

fof(f61,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | spl0_5
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f31,f42,f34,f50,f46,f38]) ).

fof(f31,axiom,
    ( ~ p_3
    | ~ p_1
    | p_5
    | ~ p_2
    | ~ p_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnnnp) ).

fof(f60,plain,
    ( ~ spl0_5
    | spl0_1
    | ~ spl0_3
    | spl0_2
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f14,f46,f38,f42,f34,f50]) ).

fof(f14,axiom,
    ( ~ p_2
    | p_4
    | ~ p_3
    | p_1
    | ~ p_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnnpn) ).

fof(f59,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_5
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f29,f46,f42,f50,f38,f34]) ).

fof(f29,axiom,
    ( ~ p_2
    | ~ p_3
    | p_5
    | p_4
    | ~ p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnnpp) ).

fof(f58,plain,
    ( spl0_4
    | spl0_5
    | ~ spl0_2
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f7,f34,f42,f38,f50,f46]) ).

fof(f7,axiom,
    ( p_1
    | ~ p_3
    | ~ p_4
    | p_5
    | p_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppnnp) ).

fof(f57,plain,
    ( spl0_4
    | ~ spl0_5
    | ~ spl0_2
    | spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f4,f34,f42,f38,f50,f46]) ).

fof(f4,axiom,
    ( p_1
    | p_3
    | ~ p_4
    | ~ p_5
    | p_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pppnn) ).

fof(f56,plain,
    ( ~ spl0_3
    | spl0_4
    | ~ spl0_1
    | spl0_5
    | spl0_2 ),
    inference(avatar_split_clause,[],[f21,f38,f50,f34,f46,f42]) ).

fof(f21,axiom,
    ( p_4
    | p_5
    | ~ p_1
    | p_2
    | ~ p_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',npnpp) ).

fof(f55,plain,
    ( spl0_5
    | ~ spl0_4
    | spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f9,f42,f38,f34,f46,f50]) ).

fof(f9,axiom,
    ( p_3
    | p_4
    | p_1
    | ~ p_2
    | p_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnppp) ).

fof(f54,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_4
    | spl0_3
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f27,f34,f42,f46,f50,f38]) ).

fof(f27,axiom,
    ( ~ p_1
    | p_3
    | ~ p_2
    | p_5
    | ~ p_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnpnp) ).

fof(f53,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f17,f50,f46,f42,f38,f34]) ).

fof(f17,axiom,
    ( p_5
    | p_2
    | p_3
    | p_4
    | ~ p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',npppp) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN001-1.005 : TPTP v8.1.0. Released v1.0.0.
% 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 : n010.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 21:13:13 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.50  % (27973)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)
% 0.20/0.51  % (27981)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)
% 0.20/0.51  % (27965)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)
% 0.20/0.51  % (27972)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)
% 0.20/0.51  The problem is propositional so there are no sorts!
% 0.20/0.51  TRYING []
% 0.20/0.51  % (27965)First to succeed.
% 0.20/0.51  % (27964)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)
% 0.20/0.51  % (27973)Instruction limit reached!
% 0.20/0.51  % (27973)------------------------------
% 0.20/0.51  % (27973)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (27972)Also succeeded, but the first one will report.
% 0.20/0.52  % (27965)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (27965)------------------------------
% 0.20/0.52  % (27965)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (27965)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (27965)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (27965)Memory used [KB]: 5884
% 0.20/0.52  % (27965)Time elapsed: 0.004 s
% 0.20/0.52  % (27965)Instructions burned: 2 (million)
% 0.20/0.52  % (27965)------------------------------
% 0.20/0.52  % (27965)------------------------------
% 0.20/0.52  % (27956)Success in time 0.17 s
%------------------------------------------------------------------------------