TSTP Solution File: SYO614-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYO614-1 : TPTP v8.1.0. Released v7.1.0.
% 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 : n001.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 19:51:46 EDT 2022

% Result   : Unsatisfiable 0.16s 0.50s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (   7 unt;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   33 (  17   ~;  16   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f84,plain,
    $false,
    inference(subsumption_resolution,[],[f81,f80]) ).

fof(f80,plain,
    ! [X5] : ~ eq(f(X5),a0),
    inference(subsumption_resolution,[],[f28,f71]) ).

fof(f71,plain,
    ! [X2,X1] :
      ( ~ eq(f(X2),a0)
      | eq(f(X1),a0) ),
    inference(resolution,[],[f46,f27]) ).

fof(f27,plain,
    ! [X3,X4] :
      ( ~ eq(f(max(X4,s(X3))),a0)
      | ~ eq(f(X3),a0) ),
    inference(resolution,[],[f5,f9]) ).

fof(f9,plain,
    ! [X0,X1] : le(X0,max(X1,X0)),
    inference(resolution,[],[f3,f1]) ).

fof(f1,axiom,
    ! [X0] : le(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( ~ le(max(X0,X1),X2)
      | le(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).

fof(f5,axiom,
    ! [X3,X4] :
      ( ~ le(s(X3),X4)
      | ~ eq(f(X3),a0)
      | ~ eq(f(X4),a0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).

fof(f46,plain,
    ! [X2,X1] :
      ( eq(f(max(s(X1),X2)),a0)
      | eq(f(X1),a0) ),
    inference(resolution,[],[f38,f7]) ).

fof(f7,plain,
    ! [X0,X1] : le(X0,max(X0,X1)),
    inference(resolution,[],[f2,f1]) ).

fof(f2,axiom,
    ! [X2,X0,X1] :
      ( ~ le(max(X0,X1),X2)
      | le(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ~ le(s(X0),X1)
      | eq(f(X1),a0)
      | eq(f(X0),a0) ),
    inference(resolution,[],[f34,f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( eq(f(X0),a1)
      | eq(f(X0),a0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ~ eq(f(X0),a1)
      | ~ le(s(X0),X1)
      | eq(f(X1),a0) ),
    inference(resolution,[],[f6,f4]) ).

fof(f6,axiom,
    ! [X3,X4] :
      ( ~ eq(f(X4),a1)
      | ~ eq(f(X3),a1)
      | ~ le(s(X3),X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).

fof(f28,plain,
    ! [X6,X7,X5] :
      ( ~ eq(f(max(X6,max(X7,s(X5)))),a0)
      | ~ eq(f(X5),a0) ),
    inference(resolution,[],[f5,f11]) ).

fof(f11,plain,
    ! [X2,X0,X1] : le(X0,max(X1,max(X2,X0))),
    inference(resolution,[],[f9,f3]) ).

fof(f81,plain,
    ! [X0] : eq(f(X0),a0),
    inference(resolution,[],[f80,f45]) ).

fof(f45,plain,
    ! [X0] :
      ( eq(f(s(X0)),a0)
      | eq(f(X0),a0) ),
    inference(resolution,[],[f38,f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10  % Problem    : SYO614-1 : TPTP v8.1.0. Released v7.1.0.
% 0.10/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31  % Computer : n001.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Aug 30 23:28:17 EDT 2022
% 0.10/0.31  % CPUTime    : 
% 0.16/0.45  % (3109)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.16/0.46  % (3117)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.16/0.47  % (3127)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.16/0.47  TRYING [1]
% 0.16/0.48  % (3108)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.16/0.48  % (3126)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 (3000ds/498Mi)
% 0.16/0.48  % (3116)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.16/0.48  % (3103)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.16/0.48  TRYING [1]
% 0.16/0.48  % (3126)First to succeed.
% 0.16/0.48  TRYING [2]
% 0.16/0.48  TRYING [3]
% 0.16/0.48  % (3118)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.16/0.48  % (3114)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.16/0.48  TRYING [2]
% 0.16/0.48  TRYING [3]
% 0.16/0.48  TRYING [4]
% 0.16/0.48  TRYING [4]
% 0.16/0.49  % (3116)Also succeeded, but the first one will report.
% 0.16/0.49  TRYING [5]
% 0.16/0.49  % (3110)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.16/0.50  % (3105)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 (3000ds/37Mi)
% 0.16/0.50  % (3126)Refutation found. Thanks to Tanya!
% 0.16/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50  % (3126)------------------------------
% 0.16/0.50  % (3126)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50  % (3126)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50  % (3126)Termination reason: Refutation
% 0.16/0.50  
% 0.16/0.50  % (3126)Memory used [KB]: 895
% 0.16/0.50  % (3126)Time elapsed: 0.107 s
% 0.16/0.50  % (3126)Instructions burned: 3 (million)
% 0.16/0.50  % (3126)------------------------------
% 0.16/0.50  % (3126)------------------------------
% 0.16/0.50  % (3102)Success in time 0.181 s
%------------------------------------------------------------------------------