TSTP Solution File: SYN071+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN071+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : 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 19:36:48 EDT 2022

% Result   : Theorem 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   29 (   3 unt;   0 def)
%            Number of atoms       :   59 (  27 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   58 (  28   ~;  25   |;   1   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   5 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f38,plain,
    $false,
    inference(avatar_sat_refutation,[],[f18,f27,f29,f32,f34,f37]) ).

fof(f37,plain,
    ( ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f36]) ).

fof(f36,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f35,f7]) ).

fof(f7,plain,
    b != c,
    inference(cnf_transformation,[],[f5]) ).

fof(f5,plain,
    ( a != d
    & b != c ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,negated_conjecture,
    ~ ( b = c
      | a = d ),
    inference(negated_conjecture,[],[f3]) ).

fof(f3,conjecture,
    ( b = c
    | a = d ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel48) ).

fof(f35,plain,
    ( b = c
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f22,f13]) ).

fof(f13,plain,
    ( b = d
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f11]) ).

fof(f11,plain,
    ( spl0_1
  <=> b = d ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f22,plain,
    ( c = d
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f20]) ).

fof(f20,plain,
    ( spl0_3
  <=> c = d ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f34,plain,
    ( ~ spl0_4
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f33,f11,f24]) ).

fof(f24,plain,
    ( spl0_4
  <=> a = b ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f33,plain,
    ( a != b
    | ~ spl0_1 ),
    inference(backward_demodulation,[],[f8,f13]) ).

fof(f8,plain,
    a != d,
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f31]) ).

fof(f31,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f30,f8]) ).

fof(f30,plain,
    ( a = d
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f22,f17]) ).

fof(f17,plain,
    ( a = c
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f15]) ).

fof(f15,plain,
    ( spl0_2
  <=> a = c ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f29,plain,
    ( ~ spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f28,f15,f24]) ).

fof(f28,plain,
    ( a != b
    | ~ spl0_2 ),
    inference(superposition,[],[f7,f17]) ).

fof(f27,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f6,f24,f20]) ).

fof(f6,plain,
    ( a = b
    | c = d ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ( a = b
    | c = d ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel48_1) ).

fof(f18,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f9,f15,f11]) ).

fof(f9,plain,
    ( a = c
    | b = d ),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( a = c
    | b = d ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel48_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYN071+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.13  % 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 : n012.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 21:27:05 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.52  % (3102)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53  % (3101)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53  % (3102)Instruction limit reached!
% 0.20/0.53  % (3102)------------------------------
% 0.20/0.53  % (3102)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (3117)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.53  % (3110)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53  % (3102)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (3102)Termination reason: Unknown
% 0.20/0.53  % (3102)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (3102)Memory used [KB]: 5373
% 0.20/0.53  % (3102)Time elapsed: 0.116 s
% 0.20/0.53  % (3102)Instructions burned: 2 (million)
% 0.20/0.53  % (3102)------------------------------
% 0.20/0.53  % (3102)------------------------------
% 0.20/0.53  % (3109)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.54  % (3101)First to succeed.
% 0.20/0.54  % (3101)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Theorem for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (3101)------------------------------
% 0.20/0.54  % (3101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (3101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (3101)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (3101)Memory used [KB]: 5373
% 0.20/0.54  % (3101)Time elapsed: 0.105 s
% 0.20/0.54  % (3101)Instructions burned: 2 (million)
% 0.20/0.54  % (3101)------------------------------
% 0.20/0.54  % (3101)------------------------------
% 0.20/0.54  % (3093)Success in time 0.182 s
%------------------------------------------------------------------------------