TSTP Solution File: REL003-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : REL003-1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n011.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 18:12:25 EDT 2022

% Result   : Unsatisfiable 0.16s 0.50s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   7 unt;   0 def)
%            Number of atoms       :   17 (  16 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   7   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f51,plain,
    $false,
    inference(subsumption_resolution,[],[f50,f41]) ).

fof(f41,plain,
    sk2 != join(sk1,sk2),
    inference(trivial_inequality_removal,[],[f40]) ).

fof(f40,plain,
    ( converse(sk2) != converse(sk2)
    | sk2 != join(sk1,sk2) ),
    inference(inner_rewriting,[],[f32]) ).

fof(f32,plain,
    ( converse(sk2) != converse(join(sk1,sk2))
    | sk2 != join(sk1,sk2) ),
    inference(backward_demodulation,[],[f15,f9]) ).

fof(f9,axiom,
    ! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity_9) ).

fof(f15,axiom,
    ( converse(sk2) != join(converse(sk1),converse(sk2))
    | sk2 != join(sk1,sk2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_17) ).

fof(f50,plain,
    sk2 = join(sk1,sk2),
    inference(forward_demodulation,[],[f49,f8]) ).

fof(f8,axiom,
    ! [X0] : converse(converse(X0)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence_8) ).

fof(f49,plain,
    join(sk1,sk2) = converse(converse(sk2)),
    inference(superposition,[],[f8,f46]) ).

fof(f46,plain,
    converse(sk2) = converse(join(sk1,sk2)),
    inference(subsumption_resolution,[],[f33,f41]) ).

fof(f33,plain,
    ( sk2 = join(sk1,sk2)
    | converse(sk2) = converse(join(sk1,sk2)) ),
    inference(backward_demodulation,[],[f14,f9]) ).

fof(f14,axiom,
    ( sk2 = join(sk1,sk2)
    | converse(sk2) = join(converse(sk1),converse(sk2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : REL003-1 : TPTP v8.1.0. Released v4.0.0.
% 0.09/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.33  % Computer : n011.cluster.edu
% 0.10/0.33  % Model    : x86_64 x86_64
% 0.10/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33  % Memory   : 8042.1875MB
% 0.10/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33  % CPULimit   : 300
% 0.10/0.33  % WCLimit    : 300
% 0.10/0.33  % DateTime   : Tue Aug 30 11:08:10 EDT 2022
% 0.10/0.33  % CPUTime    : 
% 0.16/0.48  % (21545)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)
% 0.16/0.48  % (21529)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)
% 0.16/0.49  % (21548)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.16/0.49  % (21537)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)
% 0.16/0.49  % (21543)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.16/0.49  % (21535)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)
% 0.16/0.49  % (21532)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.16/0.49  % (21529)Instruction limit reached!
% 0.16/0.49  % (21529)------------------------------
% 0.16/0.49  % (21529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49  % (21529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49  % (21529)Termination reason: Unknown
% 0.16/0.49  % (21529)Termination phase: Saturation
% 0.16/0.49  
% 0.16/0.49  % (21529)Memory used [KB]: 5756
% 0.16/0.49  % (21529)Time elapsed: 0.103 s
% 0.16/0.49  % (21529)Instructions burned: 4 (million)
% 0.16/0.49  % (21529)------------------------------
% 0.16/0.49  % (21529)------------------------------
% 0.16/0.49  % (21535)First to succeed.
% 0.16/0.50  % (21527)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.16/0.50  % (21537)Instruction limit reached!
% 0.16/0.50  % (21537)------------------------------
% 0.16/0.50  % (21537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50  % (21537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50  % (21537)Termination reason: Unknown
% 0.16/0.50  % (21537)Termination phase: Property scanning
% 0.16/0.50  
% 0.16/0.50  % (21537)Memory used [KB]: 1279
% 0.16/0.50  % (21537)Time elapsed: 0.004 s
% 0.16/0.50  % (21537)Instructions burned: 2 (million)
% 0.16/0.50  % (21537)------------------------------
% 0.16/0.50  % (21537)------------------------------
% 0.16/0.50  % (21527)Also succeeded, but the first one will report.
% 0.16/0.50  % (21535)Refutation found. Thanks to Tanya!
% 0.16/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50  % (21535)------------------------------
% 0.16/0.50  % (21535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50  % (21535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50  % (21535)Termination reason: Refutation
% 0.16/0.50  
% 0.16/0.50  % (21535)Memory used [KB]: 1407
% 0.16/0.50  % (21535)Time elapsed: 0.106 s
% 0.16/0.50  % (21535)Instructions burned: 3 (million)
% 0.16/0.50  % (21535)------------------------------
% 0.16/0.50  % (21535)------------------------------
% 0.16/0.50  % (21520)Success in time 0.163 s
%------------------------------------------------------------------------------