TSTP Solution File: SYN590-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN590-1 : TPTP v8.1.0. Released v2.5.0.
% 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 : n024.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 19:27:49 EDT 2022

% Result   : Unsatisfiable 0.18s 0.52s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   22 (   4 unt;   0 def)
%            Number of atoms       :   58 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   79 (  43   ~;  35   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-1 aty)
%            Number of variables   :   39 (  39   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f69,plain,
    $false,
    inference(unit_resulting_resolution,[],[f3,f65,f9]) ).

fof(f9,axiom,
    ! [X3] :
      ( p11(f9(X3))
      | ~ p11(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_9) ).

fof(f65,plain,
    ~ p11(f9(c16)),
    inference(duplicate_literal_removal,[],[f63]) ).

fof(f63,plain,
    ( ~ p11(f9(c16))
    | ~ p11(f9(c16)) ),
    inference(resolution,[],[f62,f18]) ).

fof(f18,axiom,
    ! [X18] :
      ( p3(f4(X18),f6(f8(X18)))
      | ~ p11(X18) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_18) ).

fof(f62,plain,
    ! [X0] :
      ( ~ p3(f4(X0),f6(f8(f9(c16))))
      | ~ p11(X0) ),
    inference(subsumption_resolution,[],[f60,f3]) ).

fof(f60,plain,
    ! [X0] :
      ( ~ p3(f4(X0),f6(f8(f9(c16))))
      | ~ p11(X0)
      | ~ p11(c16) ),
    inference(resolution,[],[f43,f8]) ).

fof(f8,axiom,
    p3(f4(c16),f6(c15)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_8) ).

fof(f43,plain,
    ! [X6,X7] :
      ( ~ p3(f4(X6),f6(c15))
      | ~ p11(X7)
      | ~ p3(f4(X7),f6(f8(f9(X6))))
      | ~ p11(X6) ),
    inference(resolution,[],[f40,f25]) ).

fof(f25,axiom,
    ! [X26,X27] :
      ( ~ p12(X27,c15)
      | ~ p11(X26)
      | ~ p3(f4(X26),f6(X27)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_25) ).

fof(f40,plain,
    ! [X0,X1] :
      ( p12(f8(f9(X0)),X1)
      | ~ p3(f4(X0),f6(X1))
      | ~ p11(X0) ),
    inference(subsumption_resolution,[],[f38,f9]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( p12(f8(f9(X0)),X1)
      | ~ p11(f9(X0))
      | ~ p3(f4(X0),f6(X1))
      | ~ p11(X0) ),
    inference(resolution,[],[f35,f18]) ).

fof(f35,plain,
    ! [X2,X0,X1] :
      ( ~ p3(f4(f9(X2)),f6(X0))
      | ~ p3(f4(X2),f6(X1))
      | ~ p11(X2)
      | p12(X0,X1) ),
    inference(resolution,[],[f34,f19]) ).

fof(f19,axiom,
    ! [X3] :
      ( p10(f4(f9(X3)),f4(X3))
      | ~ p11(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_19) ).

fof(f34,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p10(X2,X0)
      | p12(X3,X1)
      | ~ p3(X0,f6(X1))
      | ~ p3(X2,f6(X3)) ),
    inference(resolution,[],[f33,f11]) ).

fof(f11,axiom,
    ! [X6,X7] :
      ( ~ p10(f6(X6),f6(X7))
      | p12(X6,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_11) ).

fof(f33,plain,
    ! [X2,X3,X0,X1] :
      ( p10(X0,X1)
      | ~ p3(X3,X1)
      | ~ p10(X2,X3)
      | ~ p3(X2,X0) ),
    inference(resolution,[],[f31,f30]) ).

fof(f30,plain,
    ! [X31,X29,X30] :
      ( sP1(X29,X30)
      | ~ p3(X31,X29)
      | ~ p10(X30,X31) ),
    inference(cnf_transformation,[],[f30_D]) ).

fof(f30_D,plain,
    ! [X30,X29] :
      ( ! [X31] :
          ( ~ p3(X31,X29)
          | ~ p10(X30,X31) )
    <=> ~ sP1(X29,X30) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f31,plain,
    ! [X28,X29,X30] :
      ( ~ sP1(X29,X30)
      | p10(X28,X29)
      | ~ p3(X30,X28) ),
    inference(general_splitting,[],[f26,f30_D]) ).

fof(f26,axiom,
    ! [X31,X28,X29,X30] :
      ( ~ p3(X30,X28)
      | ~ p10(X30,X31)
      | p10(X28,X29)
      | ~ p3(X31,X29) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_26) ).

fof(f3,axiom,
    p11(c16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c16_is_p11_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SYN590-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 22:12:04 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.18/0.48  % (18935)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)
% 0.18/0.49  % (18947)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)
% 0.18/0.49  % (18939)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)
% 0.18/0.49  % (18951)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.18/0.50  % (18929)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.18/0.50  % (18931)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)
% 0.18/0.50  % (18935)Instruction limit reached!
% 0.18/0.50  % (18935)------------------------------
% 0.18/0.50  % (18935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (18939)First to succeed.
% 0.18/0.50  % (18927)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.18/0.50  % (18943)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.18/0.50  % (18935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (18935)Termination reason: Unknown
% 0.18/0.50  % (18935)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (18935)Memory used [KB]: 6012
% 0.18/0.50  % (18935)Time elapsed: 0.106 s
% 0.18/0.50  % (18935)Instructions burned: 6 (million)
% 0.18/0.50  % (18935)------------------------------
% 0.18/0.50  % (18935)------------------------------
% 0.18/0.51  % (18925)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.51  % (18943)Also succeeded, but the first one will report.
% 0.18/0.52  % (18939)Refutation found. Thanks to Tanya!
% 0.18/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52  % (18939)------------------------------
% 0.18/0.52  % (18939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (18939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (18939)Termination reason: Refutation
% 0.18/0.52  
% 0.18/0.52  % (18939)Memory used [KB]: 1407
% 0.18/0.52  % (18939)Time elapsed: 0.059 s
% 0.18/0.52  % (18939)Instructions burned: 6 (million)
% 0.18/0.52  % (18939)------------------------------
% 0.18/0.52  % (18939)------------------------------
% 0.18/0.52  % (18924)Success in time 0.172 s
%------------------------------------------------------------------------------