TSTP Solution File: SYN982-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN982-1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n006.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 19:36:15 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   42 (  11 unt;   0 def)
%            Number of atoms       :  102 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  135 (  75   ~;  59   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-1 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :   57 (  57   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f92,plain,
    $false,
    inference(unit_resulting_resolution,[],[f2,f42,f62,f91]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ~ ssIm(encr(triple(a,X0,tb(na)),bt))
      | ~ ssP(X1)
      | ~ ssIm(X0) ),
    inference(subsumption_resolution,[],[f90,f25]) ).

fof(f25,axiom,
    ! [X0,X1] :
      ( ssIk(key(X0,X1))
      | ~ ssIm(X0)
      | ~ ssP(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ~ ssIm(X0)
      | ~ ssP(X1)
      | ~ ssIm(encr(triple(a,X0,tb(na)),bt))
      | ~ ssIk(key(X0,X1)) ),
    inference(resolution,[],[f89,f38]) ).

fof(f38,plain,
    ! [X2,X1] :
      ( sP0(X1)
      | ~ ssIk(key(X1,X2))
      | ~ ssP(X2) ),
    inference(cnf_transformation,[],[f38_D]) ).

fof(f38_D,plain,
    ! [X1] :
      ( ! [X2] :
          ( ~ ssIk(key(X1,X2))
          | ~ ssP(X2) )
    <=> ~ sP0(X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f89,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | ~ ssIm(encr(triple(a,X0,tb(na)),bt))
      | ~ ssIm(X0) ),
    inference(subsumption_resolution,[],[f88,f61]) ).

fof(f61,plain,
    ssIm(nb(na)),
    inference(resolution,[],[f57,f18]) ).

fof(f18,axiom,
    ! [X2,X0,X1] :
      ( ~ ssIm(triple(X0,X1,X2))
      | ssIm(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).

fof(f57,plain,
    ssIm(triple(b,nb(na),encr(triple(a,na,tb(na)),bt))),
    inference(resolution,[],[f56,f16]) ).

fof(f16,axiom,
    ssM(sent(a,b,pair(a,na))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).

fof(f56,plain,
    ! [X0] :
      ( ~ ssM(sent(X0,b,pair(X0,na)))
      | ssIm(triple(b,nb(na),encr(triple(X0,na,tb(na)),bt))) ),
    inference(resolution,[],[f55,f3]) ).

fof(f3,axiom,
    ssBf(na),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ~ ssBf(X0)
      | ssIm(triple(b,nb(X0),encr(triple(X1,X0,tb(X0)),bt)))
      | ~ ssM(sent(X1,b,pair(X1,X0))) ),
    inference(resolution,[],[f33,f20]) ).

fof(f20,axiom,
    ! [X2,X0,X1] :
      ( ~ ssM(sent(X0,X1,X2))
      | ssIm(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).

fof(f33,axiom,
    ! [X0,X1] :
      ( ssM(sent(b,t,triple(b,nb(X1),encr(triple(X0,X1,tb(X1)),bt))))
      | ~ ssBf(X1)
      | ~ ssM(sent(X0,b,pair(X0,X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

fof(f88,plain,
    ! [X0] :
      ( ~ ssIm(encr(triple(a,X0,tb(na)),bt))
      | ~ ssIm(nb(na))
      | ~ ssIm(X0)
      | ~ sP0(X0) ),
    inference(resolution,[],[f87,f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ssIm(encr(X0,X1))
      | ~ sP0(X1)
      | ~ ssIm(X0) ),
    inference(general_splitting,[],[f29,f38_D]) ).

fof(f29,axiom,
    ! [X2,X0,X1] :
      ( ~ ssIk(key(X1,X2))
      | ~ ssIm(X0)
      | ssIm(encr(X0,X1))
      | ~ ssP(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).

fof(f87,plain,
    ! [X0] :
      ( ~ ssIm(encr(nb(na),X0))
      | ~ ssIm(encr(triple(a,X0,tb(na)),bt))
      | ~ ssIm(X0) ),
    inference(resolution,[],[f86,f26]) ).

fof(f26,axiom,
    ! [X0,X1] :
      ( ssIm(pair(X0,X1))
      | ~ ssIm(X1)
      | ~ ssIm(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).

fof(f86,plain,
    ! [X2] :
      ( ~ ssIm(pair(encr(triple(a,X2,tb(na)),bt),encr(nb(na),X2)))
      | ~ ssIm(X2) ),
    inference(subsumption_resolution,[],[f85,f5]) ).

fof(f5,axiom,
    ssP(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).

fof(f85,plain,
    ! [X2] :
      ( ~ ssIm(pair(encr(triple(a,X2,tb(na)),bt),encr(nb(na),X2)))
      | ~ ssIm(X2)
      | ~ ssP(a) ),
    inference(subsumption_resolution,[],[f84,f4]) ).

fof(f4,axiom,
    ssP(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).

fof(f84,plain,
    ! [X2] :
      ( ~ ssP(b)
      | ~ ssIm(X2)
      | ~ ssP(a)
      | ~ ssIm(pair(encr(triple(a,X2,tb(na)),bt),encr(nb(na),X2))) ),
    inference(resolution,[],[f82,f27]) ).

fof(f27,axiom,
    ! [X2,X0,X1] :
      ( ssM(sent(X1,X2,X0))
      | ~ ssP(X2)
      | ~ ssIm(X0)
      | ~ ssP(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).

fof(f82,plain,
    ! [X0] :
      ( ~ ssM(sent(a,b,pair(encr(triple(a,X0,tb(na)),bt),encr(nb(na),X0))))
      | ~ ssIm(X0) ),
    inference(subsumption_resolution,[],[f81,f16]) ).

fof(f81,plain,
    ! [X0] :
      ( ~ ssM(sent(a,b,pair(encr(triple(a,X0,tb(na)),bt),encr(nb(na),X0))))
      | ~ ssM(sent(a,b,pair(a,na)))
      | ~ ssIm(X0) ),
    inference(resolution,[],[f80,f3]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ~ ssBf(X0)
      | ~ ssM(sent(a,b,pair(a,X0)))
      | ~ ssIm(X1)
      | ~ ssM(sent(a,b,pair(encr(triple(a,X1,tb(X0)),bt),encr(nb(X0),X1)))) ),
    inference(resolution,[],[f69,f44]) ).

fof(f44,plain,
    ! [X0] :
      ( ~ ssBk(key(X0,a))
      | ~ ssIm(X0) ),
    inference(subsumption_resolution,[],[f43,f4]) ).

fof(f43,plain,
    ! [X0] :
      ( ~ ssBk(key(X0,a))
      | ~ ssIm(X0)
      | ~ ssP(b) ),
    inference(resolution,[],[f25,f37]) ).

fof(f37,axiom,
    ! [X0] :
      ( ~ ssIk(key(X0,b))
      | ~ ssBk(key(X0,a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f69,plain,
    ! [X2,X0,X1] :
      ( ssBk(key(X0,X1))
      | ~ ssBf(X2)
      | ~ ssM(sent(X1,b,pair(X1,X2)))
      | ~ ssM(sent(X1,b,pair(encr(triple(X1,X0,tb(X2)),bt),encr(nb(X2),X0)))) ),
    inference(resolution,[],[f34,f30]) ).

fof(f30,axiom,
    ! [X0,X1] :
      ( ssSb(pair(X0,X1))
      | ~ ssBf(X1)
      | ~ ssM(sent(X0,b,pair(X0,X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).

fof(f34,axiom,
    ! [X2,X0,X1] :
      ( ~ ssSb(pair(X0,X2))
      | ssBk(key(X1,X0))
      | ~ ssM(sent(X0,b,pair(encr(triple(X0,X1,tb(X2)),bt),encr(nb(X2),X1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f62,plain,
    ssIm(encr(triple(a,na,tb(na)),bt)),
    inference(resolution,[],[f57,f17]) ).

fof(f17,axiom,
    ! [X2,X0,X1] :
      ( ~ ssIm(triple(X0,X1,X2))
      | ssIm(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).

fof(f42,plain,
    ssIm(na),
    inference(resolution,[],[f40,f14]) ).

fof(f14,axiom,
    ! [X0,X1] :
      ( ~ ssIm(pair(X0,X1))
      | ssIm(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).

fof(f40,plain,
    ssIm(pair(a,na)),
    inference(resolution,[],[f20,f16]) ).

fof(f2,axiom,
    ssP(t),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SYN982-1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n006.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 22:32:54 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.49  % (24993)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)
% 0.20/0.50  % (25013)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)
% 0.20/0.51  % (25005)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)
% 0.20/0.51  % (24993)Refutation not found, incomplete strategy% (24993)------------------------------
% 0.20/0.51  % (24993)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (24993)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (24993)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (24993)Memory used [KB]: 5884
% 0.20/0.51  % (24993)Time elapsed: 0.099 s
% 0.20/0.51  % (24993)Instructions burned: 1 (million)
% 0.20/0.51  % (24993)------------------------------
% 0.20/0.51  % (24993)------------------------------
% 0.20/0.51  % (24996)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.51  % (25013)Refutation not found, incomplete strategy% (25013)------------------------------
% 0.20/0.51  % (25013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (25013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (25005)First to succeed.
% 0.20/0.51  % (25013)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (25013)Memory used [KB]: 5884
% 0.20/0.51  % (25013)Time elapsed: 0.113 s
% 0.20/0.51  % (25013)Instructions burned: 2 (million)
% 0.20/0.51  % (25013)------------------------------
% 0.20/0.51  % (25013)------------------------------
% 0.20/0.52  % (25005)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (25005)------------------------------
% 0.20/0.52  % (25005)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (25005)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (25005)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (25005)Memory used [KB]: 1535
% 0.20/0.52  % (25005)Time elapsed: 0.110 s
% 0.20/0.52  % (25005)Instructions burned: 8 (million)
% 0.20/0.52  % (25005)------------------------------
% 0.20/0.52  % (25005)------------------------------
% 0.20/0.52  % (24987)Success in time 0.165 s
%------------------------------------------------------------------------------