TSTP Solution File: LDA007-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LDA007-1 : TPTP v8.1.0. Bugfixed v2.6.0.
% 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 : n004.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 17:50:27 EDT 2022

% Result   : Unsatisfiable 0.24s 0.52s
% Output   : Refutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   19 (  19 unt;   0 def)
%            Number of atoms       :   19 (  18 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-2 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f334,plain,
    $false,
    inference(subsumption_resolution,[],[f333,f23]) ).

fof(f23,plain,
    sF1 != sF0,
    inference(definition_folding,[],[f20,f22,f21]) ).

fof(f21,plain,
    f(t,tsk) = sF0,
    introduced(function_definition,[]) ).

fof(f22,plain,
    f(tt_ts,tk) = sF1,
    introduced(function_definition,[]) ).

fof(f20,axiom,
    f(t,tsk) != f(tt_ts,tk),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).

fof(f333,plain,
    sF1 = sF0,
    inference(forward_demodulation,[],[f332,f21]) ).

fof(f332,plain,
    f(t,tsk) = sF1,
    inference(forward_demodulation,[],[f331,f22]) ).

fof(f331,plain,
    f(t,tsk) = f(tt_ts,tk),
    inference(forward_demodulation,[],[f319,f18]) ).

fof(f18,axiom,
    tsk = f(ts,k),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).

fof(f319,plain,
    f(tt_ts,tk) = f(t,f(ts,k)),
    inference(superposition,[],[f86,f123]) ).

fof(f123,plain,
    tt_ts = f(t,ts),
    inference(forward_demodulation,[],[f117,f13]) ).

fof(f13,axiom,
    tt_ts = f(tt,ts),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).

fof(f117,plain,
    f(tt,ts) = f(t,ts),
    inference(superposition,[],[f69,f12]) ).

fof(f12,axiom,
    ts = f(t,s),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).

fof(f69,plain,
    ! [X4] : f(tt,f(t,X4)) = f(t,f(t,X4)),
    inference(superposition,[],[f1,f10]) ).

fof(f10,axiom,
    tt = f(t,t),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

fof(f1,axiom,
    ! [X2,X0,X1] : f(X0,f(X1,X2)) = f(f(X0,X1),f(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).

fof(f86,plain,
    ! [X9] : f(t,f(X9,k)) = f(f(t,X9),tk),
    inference(superposition,[],[f1,f16]) ).

fof(f16,axiom,
    tk = f(t,k),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem    : LDA007-1 : TPTP v8.1.0. Bugfixed v2.6.0.
% 0.04/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.16/0.37  % Computer : n004.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Tue Aug 30 02:58:35 EDT 2022
% 0.23/0.37  % CPUTime    : 
% 0.24/0.48  % (13685)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.24/0.50  % (13699)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.24/0.50  % (13710)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)
% 0.24/0.50  % (13710)Refutation not found, incomplete strategy% (13710)------------------------------
% 0.24/0.50  % (13710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.24/0.50  % (13710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.24/0.50  % (13710)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.50  
% 0.24/0.50  % (13710)Memory used [KB]: 5884
% 0.24/0.50  % (13710)Time elapsed: 0.094 s
% 0.24/0.50  % (13710)Instructions burned: 1 (million)
% 0.24/0.50  % (13710)------------------------------
% 0.24/0.50  % (13710)------------------------------
% 0.24/0.50  % (13695)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.24/0.51  % (13701)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)
% 0.24/0.51  % (13692)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)
% 0.24/0.51  % (13701)Instruction limit reached!
% 0.24/0.51  % (13701)------------------------------
% 0.24/0.51  % (13701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.24/0.52  % (13708)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.24/0.52  % (13685)First to succeed.
% 0.24/0.52  % (13701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.24/0.52  % (13701)Termination reason: Unknown
% 0.24/0.52  % (13701)Termination phase: Saturation
% 0.24/0.52  
% 0.24/0.52  % (13701)Memory used [KB]: 1279
% 0.24/0.52  % (13701)Time elapsed: 0.003 s
% 0.24/0.52  % (13701)Instructions burned: 2 (million)
% 0.24/0.52  % (13701)------------------------------
% 0.24/0.52  % (13701)------------------------------
% 0.24/0.52  % (13692)Refutation not found, incomplete strategy% (13692)------------------------------
% 0.24/0.52  % (13692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.24/0.52  % (13692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.24/0.52  % (13692)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.52  
% 0.24/0.52  % (13692)Memory used [KB]: 5884
% 0.24/0.52  % (13692)Time elapsed: 0.114 s
% 0.24/0.52  % (13692)Instructions burned: 2 (million)
% 0.24/0.52  % (13692)------------------------------
% 0.24/0.52  % (13692)------------------------------
% 0.24/0.52  % (13685)Refutation found. Thanks to Tanya!
% 0.24/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.24/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.52  % (13685)------------------------------
% 0.24/0.52  % (13685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.24/0.52  % (13685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.24/0.52  % (13685)Termination reason: Refutation
% 0.24/0.52  
% 0.24/0.52  % (13685)Memory used [KB]: 6396
% 0.24/0.52  % (13685)Time elapsed: 0.097 s
% 0.24/0.52  % (13685)Instructions burned: 25 (million)
% 0.24/0.52  % (13685)------------------------------
% 0.24/0.52  % (13685)------------------------------
% 0.24/0.52  % (13684)Success in time 0.141 s
%------------------------------------------------------------------------------