TSTP Solution File: SWV001-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV001-1 : 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_sat --cores 0 -t %d %s

% Computer : n001.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 18:55:11 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   32 (   4 unt;   0 def)
%            Number of atoms       :   73 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   79 (  38   ~;  39   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   3 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f89,plain,
    $false,
    inference(avatar_sat_refutation,[],[f38,f56,f88]) ).

fof(f88,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f87]) ).

fof(f87,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f86,f36]) ).

fof(f36,plain,
    ( less_or_equalish(a,b)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f35,plain,
    ( spl0_2
  <=> less_or_equalish(a,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f86,plain,
    ( ~ less_or_equalish(a,b)
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f85,f7]) ).

fof(f7,axiom,
    ! [X0] : less_or_equalish(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_reflexivity) ).

fof(f85,plain,
    ( ~ less_or_equalish(b,b)
    | ~ less_or_equalish(a,b)
    | ~ spl0_1 ),
    inference(duplicate_literal_removal,[],[f83]) ).

fof(f83,plain,
    ( ~ less_or_equalish(b,b)
    | ~ less_or_equalish(b,b)
    | ~ less_or_equalish(a,b)
    | ~ spl0_1 ),
    inference(resolution,[],[f75,f14]) ).

fof(f14,axiom,
    ! [X3] :
      ( ~ q4(a,b,X3)
      | ~ less_or_equalish(X3,b)
      | ~ less_or_equalish(b,X3)
      | ~ less_or_equalish(a,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).

fof(f75,plain,
    ( q4(a,b,b)
    | ~ spl0_1 ),
    inference(resolution,[],[f33,f5]) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( ~ q2(X0,X1,X2)
      | q4(X0,X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).

fof(f33,plain,
    ( q2(a,b,c)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f31,plain,
    ( spl0_1
  <=> q2(a,b,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f56,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f55]) ).

fof(f55,plain,
    ( $false
    | spl0_2 ),
    inference(subsumption_resolution,[],[f54,f7]) ).

fof(f54,plain,
    ( ~ less_or_equalish(a,a)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f53,f41]) ).

fof(f41,plain,
    ( less_or_equalish(b,a)
    | spl0_2 ),
    inference(resolution,[],[f37,f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( less_or_equalish(X0,X1)
      | less_or_equalish(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_less_or_equal) ).

fof(f37,plain,
    ( ~ less_or_equalish(a,b)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f53,plain,
    ( ~ less_or_equalish(b,a)
    | ~ less_or_equalish(a,a)
    | spl0_2 ),
    inference(duplicate_literal_removal,[],[f52]) ).

fof(f52,plain,
    ( ~ less_or_equalish(a,a)
    | ~ less_or_equalish(b,a)
    | ~ less_or_equalish(a,a)
    | spl0_2 ),
    inference(resolution,[],[f49,f13]) ).

fof(f13,axiom,
    ! [X3] :
      ( ~ q4(a,b,X3)
      | ~ less_or_equalish(b,X3)
      | ~ less_or_equalish(a,X3)
      | ~ less_or_equalish(X3,a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).

fof(f49,plain,
    ( q4(a,b,a)
    | spl0_2 ),
    inference(resolution,[],[f40,f6]) ).

fof(f6,axiom,
    ! [X2,X0,X1] :
      ( ~ q3(X0,X1,X2)
      | q4(X0,X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).

fof(f40,plain,
    ( q3(a,b,c)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f39,f37]) ).

fof(f39,plain,
    ( q3(a,b,c)
    | less_or_equalish(a,b) ),
    inference(resolution,[],[f4,f12]) ).

fof(f12,axiom,
    q1(a,b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).

fof(f4,axiom,
    ! [X2,X0,X1] :
      ( ~ q1(X0,X1,X2)
      | q3(X0,X1,X2)
      | less_or_equalish(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

fof(f38,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f29,f35,f31]) ).

fof(f29,plain,
    ( ~ less_or_equalish(a,b)
    | q2(a,b,c) ),
    inference(resolution,[],[f3,f12]) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( ~ q1(X0,X1,X2)
      | q2(X0,X1,X2)
      | ~ less_or_equalish(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n001.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 19:19:32 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  % (25064)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.48  % (25060)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49  % (25064)Instruction limit reached!
% 0.19/0.49  % (25064)------------------------------
% 0.19/0.49  % (25064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (25064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (25064)Termination reason: Unknown
% 0.19/0.49  % (25064)Termination phase: Saturation
% 0.19/0.49  
% 0.19/0.49  % (25064)Memory used [KB]: 895
% 0.19/0.49  % (25064)Time elapsed: 0.004 s
% 0.19/0.49  % (25064)Instructions burned: 2 (million)
% 0.19/0.49  % (25064)------------------------------
% 0.19/0.49  % (25064)------------------------------
% 0.19/0.50  % (25080)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.50  % (25084)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.50  % (25078)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.50  % (25080)First to succeed.
% 0.19/0.50  % (25068)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51  % (25083)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.51  % (25080)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  % (25080)------------------------------
% 0.19/0.51  % (25080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (25080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (25080)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (25080)Memory used [KB]: 5373
% 0.19/0.51  % (25080)Time elapsed: 0.114 s
% 0.19/0.51  % (25080)Instructions burned: 3 (million)
% 0.19/0.51  % (25080)------------------------------
% 0.19/0.51  % (25080)------------------------------
% 0.19/0.51  % (25055)Success in time 0.159 s
%------------------------------------------------------------------------------