TSTP Solution File: SWV365+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV365+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n019.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 18:45:19 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   23 (  22 unt;   0 def)
%            Number of atoms       :   24 (  23 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (  10   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-3 aty)
%            Number of variables   :   32 (  20   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f295,plain,
    $false,
    inference(subsumption_resolution,[],[f292,f294]) ).

fof(f294,plain,
    create_pq != sF6,
    inference(backward_demodulation,[],[f285,f291]) ).

fof(f291,plain,
    create_pq = sF8,
    inference(forward_demodulation,[],[f290,f284]) ).

fof(f284,plain,
    i(sF7) = sF8,
    introduced(function_definition,[]) ).

fof(f290,plain,
    create_pq = i(sF7),
    inference(superposition,[],[f257,f283]) ).

fof(f283,plain,
    triple(sK3,create_slb,sK1) = sF7,
    introduced(function_definition,[]) ).

fof(f257,plain,
    ! [X0,X1] : create_pq = i(triple(X0,create_slb,X1)),
    inference(cnf_transformation,[],[f197]) ).

fof(f197,plain,
    ! [X0,X1] : create_pq = i(triple(X0,create_slb,X1)),
    inference(rectify,[],[f96]) ).

fof(f96,plain,
    ! [X1,X0] : create_pq = i(triple(X1,create_slb,X0)),
    inference(rectify,[],[f54]) ).

fof(f54,axiom,
    ! [X1,X0] : create_pq = i(triple(X0,create_slb,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax54) ).

fof(f285,plain,
    sF6 != sF8,
    inference(definition_folding,[],[f223,f284,f283,f282,f281]) ).

fof(f281,plain,
    sF5 = triple(sK2,create_slb,sK0),
    introduced(function_definition,[]) ).

fof(f282,plain,
    sF6 = i(sF5),
    introduced(function_definition,[]) ).

fof(f223,plain,
    i(triple(sK2,create_slb,sK0)) != i(triple(sK3,create_slb,sK1)),
    inference(cnf_transformation,[],[f167]) ).

fof(f167,plain,
    i(triple(sK2,create_slb,sK0)) != i(triple(sK3,create_slb,sK1)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f165,f166]) ).

fof(f166,plain,
    ( ? [X0,X1,X2,X3] : i(triple(X2,create_slb,X0)) != i(triple(X3,create_slb,X1))
   => i(triple(sK2,create_slb,sK0)) != i(triple(sK3,create_slb,sK1)) ),
    introduced(choice_axiom,[]) ).

fof(f165,plain,
    ? [X0,X1,X2,X3] : i(triple(X2,create_slb,X0)) != i(triple(X3,create_slb,X1)),
    inference(rectify,[],[f118]) ).

fof(f118,plain,
    ? [X2,X1,X3,X0] : i(triple(X0,create_slb,X1)) != i(triple(X3,create_slb,X2)),
    inference(ennf_transformation,[],[f85]) ).

fof(f85,plain,
    ~ ! [X1,X0,X3,X2] : i(triple(X0,create_slb,X1)) = i(triple(X3,create_slb,X2)),
    inference(rectify,[],[f64]) ).

fof(f64,negated_conjecture,
    ~ ! [X1,X4,X3,X0] : i(triple(X0,create_slb,X3)) = i(triple(X1,create_slb,X4)),
    inference(negated_conjecture,[],[f63]) ).

fof(f63,conjecture,
    ! [X1,X4,X3,X0] : i(triple(X0,create_slb,X3)) = i(triple(X1,create_slb,X4)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_co) ).

fof(f292,plain,
    create_pq = sF6,
    inference(forward_demodulation,[],[f289,f282]) ).

fof(f289,plain,
    create_pq = i(sF5),
    inference(superposition,[],[f257,f281]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV365+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % 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 : n019.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 19:25:05 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (24233)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50  % (24218)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.51  % (24218)First to succeed.
% 0.20/0.51  % (24225)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.51  % (24218)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Theorem for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (24218)------------------------------
% 0.20/0.51  % (24218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (24218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (24218)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (24218)Memory used [KB]: 6140
% 0.20/0.51  % (24218)Time elapsed: 0.094 s
% 0.20/0.51  % (24218)Instructions burned: 5 (million)
% 0.20/0.51  % (24218)------------------------------
% 0.20/0.51  % (24218)------------------------------
% 0.20/0.51  % (24217)Success in time 0.158 s
%------------------------------------------------------------------------------