TSTP Solution File: SYN166-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN166-1 : TPTP v8.1.0. Released v1.1.0.
% 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 : n003.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 19:37:04 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   22 (  12 unt;   0 def)
%            Number of atoms       :   37 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   35 (  20   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f744,plain,
    $false,
    inference(subsumption_resolution,[],[f742,f12]) ).

fof(f12,axiom,
    ! [X0] : m0(a,X0,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).

fof(f742,plain,
    ~ m0(a,b,a),
    inference(resolution,[],[f741,f690]) ).

fof(f690,plain,
    ~ p1(a,b,a),
    inference(resolution,[],[f655,f657]) ).

fof(f657,plain,
    ~ p1(a,a,a),
    inference(subsumption_resolution,[],[f532,f557]) ).

fof(f557,plain,
    ! [X0] : ~ p0(b,X0),
    inference(consistent_polarity_flipping,[],[f14]) ).

fof(f14,axiom,
    ! [X0] : p0(b,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).

fof(f532,plain,
    ( ~ p1(a,a,a)
    | p0(b,a) ),
    inference(consistent_polarity_flipping,[],[f113]) ).

fof(f113,axiom,
    ( ~ p0(b,a)
    | p1(a,a,a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_075) ).

fof(f655,plain,
    ( p1(a,a,a)
    | ~ p1(a,b,a) ),
    inference(subsumption_resolution,[],[f422,f521]) ).

fof(f521,plain,
    ~ r0(b),
    inference(consistent_polarity_flipping,[],[f9]) ).

fof(f9,axiom,
    r0(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).

fof(f422,plain,
    ( r0(b)
    | p1(a,a,a)
    | ~ p1(a,b,a) ),
    inference(consistent_polarity_flipping,[],[f125]) ).

fof(f125,axiom,
    ( p1(a,b,a)
    | ~ p1(a,a,a)
    | ~ r0(b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_087) ).

fof(f741,plain,
    ! [X0] :
      ( p1(a,b,X0)
      | ~ m0(a,b,X0) ),
    inference(resolution,[],[f739,f38]) ).

fof(f38,axiom,
    m0(b,a,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_38) ).

fof(f739,plain,
    ! [X0,X1] :
      ( ~ m0(b,a,X0)
      | ~ m0(X0,b,X1)
      | p1(X0,b,X1) ),
    inference(resolution,[],[f736,f415]) ).

fof(f415,plain,
    ! [X2,X3,X10,X5] :
      ( ~ p1(X5,X2,X3)
      | ~ m0(X3,X5,X10)
      | p1(X3,X5,X10) ),
    inference(consistent_polarity_flipping,[],[f120]) ).

fof(f120,axiom,
    ! [X2,X3,X10,X5] :
      ( p1(X5,X2,X3)
      | ~ m0(X3,X5,X10)
      | ~ p1(X3,X5,X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_082) ).

fof(f736,plain,
    ! [X5] :
      ( p1(b,a,X5)
      | ~ m0(b,a,X5) ),
    inference(resolution,[],[f415,f625]) ).

fof(f625,plain,
    p1(a,b,b),
    inference(consistent_polarity_flipping,[],[f369]) ).

fof(f369,axiom,
    ~ p1(a,b,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SYN166-1 : TPTP v8.1.0. Released v1.1.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n003.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 21:35:07 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  % (7149)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.49  % (7132)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.50  % (7157)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.51  % (7149)First to succeed.
% 0.20/0.51  % (7147)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.51  % (7140)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (7149)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (7149)------------------------------
% 0.20/0.53  % (7149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (7149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (7149)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (7149)Memory used [KB]: 1535
% 0.20/0.53  % (7149)Time elapsed: 0.098 s
% 0.20/0.53  % (7149)Instructions burned: 14 (million)
% 0.20/0.53  % (7149)------------------------------
% 0.20/0.53  % (7149)------------------------------
% 0.20/0.53  % (7129)Success in time 0.168 s
%------------------------------------------------------------------------------