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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --cores 0 -t %d %s

% Computer : n023.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 19:46:15 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   42 (  13 unt;   0 def)
%            Number of atoms       :   94 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  116 (  64   ~;  52   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-1 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :   53 (  53   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f150,plain,
    $false,
    inference(subsumption_resolution,[],[f149,f40]) ).

fof(f40,plain,
    ssIm(na),
    inference(resolution,[],[f38,f14]) ).

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

fof(f38,plain,
    ssIm(pair(a,na)),
    inference(resolution,[],[f20,f16]) ).

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

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

fof(f149,plain,
    ~ ssIm(na),
    inference(subsumption_resolution,[],[f148,f106]) ).

fof(f106,plain,
    ssIm(nb(na)),
    inference(resolution,[],[f100,f18]) ).

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

fof(f100,plain,
    ssIm(triple(b,nb(na),encr(triple(a,na,tb(na)),bt))),
    inference(resolution,[],[f85,f16]) ).

fof(f85,plain,
    ! [X2] :
      ( ~ ssM(sent(X2,b,pair(X2,na)))
      | ssIm(triple(b,nb(na),encr(triple(X2,na,tb(na)),bt))) ),
    inference(resolution,[],[f63,f20]) ).

fof(f63,plain,
    ! [X0] :
      ( ssM(sent(b,t,triple(b,nb(na),encr(triple(X0,na,tb(na)),bt))))
      | ~ ssM(sent(X0,b,pair(X0,na))) ),
    inference(resolution,[],[f33,f3]) ).

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

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

fof(f148,plain,
    ( ~ ssIm(nb(na))
    | ~ ssIm(na) ),
    inference(resolution,[],[f147,f81]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( ssIm(encr(X1,X0))
      | ~ ssIm(X1)
      | ~ ssIm(X0) ),
    inference(resolution,[],[f55,f2]) ).

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

fof(f55,plain,
    ! [X2,X0,X1] :
      ( ~ ssP(X0)
      | ~ ssIm(X2)
      | ssIm(encr(X1,X2))
      | ~ ssIm(X1) ),
    inference(duplicate_literal_removal,[],[f54]) ).

fof(f54,plain,
    ! [X2,X0,X1] :
      ( ~ ssIm(X1)
      | ~ ssIm(X2)
      | ssIm(encr(X1,X2))
      | ~ ssP(X0)
      | ~ ssP(X0) ),
    inference(resolution,[],[f29,f25]) ).

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

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

fof(f147,plain,
    ~ ssIm(encr(nb(na),na)),
    inference(subsumption_resolution,[],[f145,f40]) ).

fof(f145,plain,
    ( ~ ssIm(na)
    | ~ ssIm(encr(nb(na),na)) ),
    inference(resolution,[],[f107,f93]) ).

fof(f93,plain,
    ! [X0] :
      ( ~ ssIm(encr(triple(a,X0,tb(na)),bt))
      | ~ ssIm(X0)
      | ~ ssIm(encr(nb(na),X0)) ),
    inference(resolution,[],[f92,f26]) ).

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

fof(f92,plain,
    ! [X0] :
      ( ~ ssIm(pair(encr(triple(a,X0,tb(na)),bt),encr(nb(na),X0)))
      | ~ ssIm(X0) ),
    inference(resolution,[],[f91,f75]) ).

fof(f75,plain,
    ! [X1] :
      ( ssM(sent(a,b,X1))
      | ~ ssIm(X1) ),
    inference(resolution,[],[f47,f4]) ).

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

fof(f47,plain,
    ! [X4,X5] :
      ( ~ ssP(X4)
      | ~ ssIm(X5)
      | ssM(sent(a,X4,X5)) ),
    inference(resolution,[],[f27,f5]) ).

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

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

fof(f91,plain,
    ! [X0] :
      ( ~ ssM(sent(a,b,pair(encr(triple(a,X0,tb(na)),bt),encr(nb(na),X0))))
      | ~ ssIm(X0) ),
    inference(subsumption_resolution,[],[f90,f16]) ).

fof(f90,plain,
    ! [X0] :
      ( ~ ssM(sent(a,b,pair(encr(triple(a,X0,tb(na)),bt),encr(nb(na),X0))))
      | ~ ssIm(X0)
      | ~ ssM(sent(a,b,pair(a,na))) ),
    inference(resolution,[],[f89,f3]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( ~ ssBf(X1)
      | ~ ssM(sent(a,b,pair(encr(triple(a,X0,tb(X1)),bt),encr(nb(X1),X0))))
      | ~ ssM(sent(a,b,pair(a,X1)))
      | ~ ssIm(X0) ),
    inference(resolution,[],[f64,f42]) ).

fof(f42,plain,
    ! [X0] :
      ( ~ ssBk(key(X0,a))
      | ~ ssIm(X0) ),
    inference(subsumption_resolution,[],[f41,f4]) ).

fof(f41,plain,
    ! [X0] :
      ( ~ ssIm(X0)
      | ~ ssP(b)
      | ~ ssBk(key(X0,a)) ),
    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(f64,plain,
    ! [X2,X0,X1] :
      ( ssBk(key(X0,X1))
      | ~ ssM(sent(X1,b,pair(encr(triple(X1,X0,tb(X2)),bt),encr(nb(X2),X0))))
      | ~ ssBf(X2)
      | ~ ssM(sent(X1,b,pair(X1,X2))) ),
    inference(resolution,[],[f34,f30]) ).

fof(f30,axiom,
    ! [X0,X1] :
      ( ssSb(pair(X0,X1))
      | ~ ssM(sent(X0,b,pair(X0,X1)))
      | ~ ssBf(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(f107,plain,
    ssIm(encr(triple(a,na,tb(na)),bt)),
    inference(resolution,[],[f100,f17]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN982-1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n023.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 22:55:04 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (23137)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50  % (23153)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.51  % (23151)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.51  % (23145)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51  % (23137)Instruction limit reached!
% 0.19/0.51  % (23137)------------------------------
% 0.19/0.51  % (23137)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (23137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (23137)Termination reason: Unknown
% 0.19/0.51  % (23137)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (23137)Memory used [KB]: 895
% 0.19/0.51  % (23137)Time elapsed: 0.005 s
% 0.19/0.51  % (23137)Instructions burned: 3 (million)
% 0.19/0.51  % (23137)------------------------------
% 0.19/0.51  % (23137)------------------------------
% 0.19/0.51  % (23151)First to succeed.
% 0.19/0.51  % (23151)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (23151)------------------------------
% 0.19/0.51  % (23151)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (23151)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (23151)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (23151)Memory used [KB]: 1023
% 0.19/0.51  % (23151)Time elapsed: 0.060 s
% 0.19/0.51  % (23151)Instructions burned: 7 (million)
% 0.19/0.51  % (23151)------------------------------
% 0.19/0.51  % (23151)------------------------------
% 0.19/0.51  % (23128)Success in time 0.162 s
%------------------------------------------------------------------------------