TSTP Solution File: SYN270-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN270-1 : 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 : 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 19:37:20 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   30 (  16 unt;   0 def)
%            Number of atoms       :   53 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   52 (  29   ~;  23   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1272,plain,
    $false,
    inference(resolution,[],[f1269,f891]) ).

fof(f891,plain,
    ! [X1] : n1(X1,X1,X1),
    inference(subsumption_resolution,[],[f889,f788]) ).

fof(f788,plain,
    ! [X0] : n1(a,X0,a),
    inference(resolution,[],[f787,f20]) ).

fof(f20,axiom,
    l0(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).

fof(f787,plain,
    ! [X8,X7] :
      ( ~ l0(X7)
      | n1(X7,X8,X7) ),
    inference(subsumption_resolution,[],[f786,f14]) ).

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

fof(f786,plain,
    ! [X8,X7] :
      ( ~ p0(b,X8)
      | n1(X7,X8,X7)
      | ~ l0(X7) ),
    inference(subsumption_resolution,[],[f88,f5]) ).

fof(f5,axiom,
    s0(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(f88,axiom,
    ! [X8,X7] :
      ( ~ s0(b)
      | ~ l0(X7)
      | ~ p0(b,X8)
      | n1(X7,X8,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_050) ).

fof(f889,plain,
    ! [X1] :
      ( ~ n1(a,X1,a)
      | n1(X1,X1,X1) ),
    inference(resolution,[],[f100,f12]) ).

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

fof(f100,axiom,
    ! [X8,X9,X7] :
      ( ~ m0(X8,X8,X9)
      | n1(X7,X7,X7)
      | ~ n1(X8,X7,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_062) ).

fof(f1269,plain,
    ! [X3] : ~ n1(X3,b,X3),
    inference(subsumption_resolution,[],[f1268,f543]) ).

fof(f543,plain,
    p2(c,b,c),
    inference(resolution,[],[f214,f493]) ).

fof(f493,plain,
    m1(b,c,b),
    inference(resolution,[],[f478,f9]) ).

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

fof(f478,plain,
    ! [X1] :
      ( ~ r0(X1)
      | m1(X1,c,X1) ),
    inference(resolution,[],[f73,f24]) ).

fof(f24,axiom,
    l0(c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).

fof(f73,axiom,
    ! [X2,X3] :
      ( ~ l0(X3)
      | ~ r0(X2)
      | m1(X2,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_035) ).

fof(f214,axiom,
    ! [X8,X7] :
      ( ~ m1(X8,X7,X8)
      | p2(X7,X8,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_176) ).

fof(f1268,plain,
    ! [X3] :
      ( ~ n1(X3,b,X3)
      | ~ p2(c,b,c) ),
    inference(subsumption_resolution,[],[f1267,f724]) ).

fof(f724,plain,
    ! [X0] : ~ p2(c,X0,b),
    inference(resolution,[],[f723,f305]) ).

fof(f305,axiom,
    ! [X11,X6,X7] :
      ( r3(X11,X6,X11)
      | ~ p2(X11,X7,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_267) ).

fof(f723,plain,
    ~ r3(c,b,c),
    inference(subsumption_resolution,[],[f722,f9]) ).

fof(f722,plain,
    ( ~ r0(b)
    | ~ r3(c,b,c) ),
    inference(resolution,[],[f323,f369]) ).

fof(f369,axiom,
    ~ p4(b,b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f323,axiom,
    ! [X4,X5] :
      ( p4(X4,X4,X5)
      | ~ r3(X5,X4,X5)
      | ~ r0(X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_285) ).

fof(f1267,plain,
    ! [X3] :
      ( p2(c,b,b)
      | ~ p2(c,b,c)
      | ~ n1(X3,b,X3) ),
    inference(resolution,[],[f190,f18]) ).

fof(f18,axiom,
    p0(c,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).

fof(f190,axiom,
    ! [X8,X6,X7] :
      ( ~ p0(X6,X7)
      | ~ p2(X6,X7,X6)
      | ~ n1(X8,X7,X8)
      | p2(X6,X7,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_152) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SYN270-1 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % 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 22:07:05 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  % (22129)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)
% 0.20/0.52  % (22129)First to succeed.
% 0.20/0.52  % (22129)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  % (22129)------------------------------
% 0.20/0.52  % (22129)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (22129)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (22129)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (22129)Memory used [KB]: 1791
% 0.20/0.52  % (22129)Time elapsed: 0.082 s
% 0.20/0.52  % (22129)Instructions burned: 37 (million)
% 0.20/0.52  % (22129)------------------------------
% 0.20/0.52  % (22129)------------------------------
% 0.20/0.52  % (22106)Success in time 0.166 s
%------------------------------------------------------------------------------