TSTP Solution File: KRS013-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : KRS013-1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n025.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 17:29:26 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   35 (   4 unt;   0 def)
%            Number of atoms       :   92 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  101 (  44   ~;  57   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-1 aty)
%            Number of variables   :   39 (  39   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f100,plain,
    $false,
    inference(subsumption_resolution,[],[f99,f2]) ).

fof(f2,axiom,
    ~ f(exist),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).

fof(f99,plain,
    f(exist),
    inference(resolution,[],[f98,f1]) ).

fof(f1,axiom,
    e(exist),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).

fof(f98,plain,
    ! [X0] :
      ( ~ e(X0)
      | f(X0) ),
    inference(subsumption_resolution,[],[f97,f78]) ).

fof(f78,plain,
    ! [X0] :
      ( ~ t2least(u6r1(X0))
      | f(X0)
      | ~ e(X0) ),
    inference(resolution,[],[f77,f36]) ).

fof(f36,plain,
    ! [X0] :
      ( t1most(u6r1(X0))
      | ~ e(X0)
      | f(X0) ),
    inference(resolution,[],[f34,f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( ~ d(X0)
      | t1most(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).

fof(f34,plain,
    ! [X0] :
      ( d(u6r1(X0))
      | ~ e(X0)
      | f(X0) ),
    inference(resolution,[],[f15,f29]) ).

fof(f29,axiom,
    ! [X0] :
      ( r(X0,u6r1(X0))
      | f(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_29) ).

fof(f15,axiom,
    ! [X0,X1] :
      ( ~ r(X0,X1)
      | d(X1)
      | ~ e(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).

fof(f77,plain,
    ! [X0] :
      ( ~ t1most(X0)
      | ~ t2least(X0) ),
    inference(subsumption_resolution,[],[f76,f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( t(X0,u1r2(X0))
      | ~ t2least(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).

fof(f76,plain,
    ! [X0] :
      ( ~ t1most(X0)
      | ~ t2least(X0)
      | ~ t(X0,u1r2(X0)) ),
    inference(duplicate_literal_removal,[],[f75]) ).

fof(f75,plain,
    ! [X0] :
      ( ~ t2least(X0)
      | ~ t1most(X0)
      | ~ t(X0,u1r2(X0))
      | ~ t2least(X0) ),
    inference(resolution,[],[f56,f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ~ equalish(u1r2(X0),u1r1(X0))
      | ~ t2least(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).

fof(f56,plain,
    ! [X2,X3] :
      ( equalish(X3,u1r1(X2))
      | ~ t1most(X2)
      | ~ t2least(X2)
      | ~ t(X2,X3) ),
    inference(resolution,[],[f11,f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( t(X0,u1r1(X0))
      | ~ t2least(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).

fof(f11,axiom,
    ! [X2,X0,X1] :
      ( ~ t(X0,X2)
      | ~ t(X0,X1)
      | equalish(X1,X2)
      | ~ t1most(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).

fof(f97,plain,
    ! [X0] :
      ( f(X0)
      | t2least(u6r1(X0))
      | ~ e(X0) ),
    inference(resolution,[],[f96,f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( ~ c(X0)
      | t2least(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).

fof(f96,plain,
    ! [X0] :
      ( c(u6r1(X0))
      | f(X0)
      | ~ e(X0) ),
    inference(duplicate_literal_removal,[],[f95]) ).

fof(f95,plain,
    ! [X0] :
      ( f(X0)
      | c(u6r1(X0))
      | f(X0)
      | ~ e(X0) ),
    inference(resolution,[],[f91,f38]) ).

fof(f38,plain,
    ! [X0] :
      ( ~ s2least(u6r1(X0))
      | c(u6r1(X0))
      | ~ e(X0)
      | f(X0) ),
    inference(resolution,[],[f16,f29]) ).

fof(f16,axiom,
    ! [X2,X0] :
      ( ~ r(X0,X2)
      | ~ e(X0)
      | c(X2)
      | ~ s2least(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).

fof(f91,plain,
    ! [X0] :
      ( s2least(u6r1(X0))
      | f(X0) ),
    inference(resolution,[],[f87,f28]) ).

fof(f28,axiom,
    ! [X0] :
      ( ~ s1most(u6r1(X0))
      | f(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_28) ).

fof(f87,plain,
    ! [X0] :
      ( s1most(X0)
      | s2least(X0) ),
    inference(subsumption_resolution,[],[f86,f33]) ).

fof(f33,axiom,
    ! [X0] :
      ( s(X0,u7r2(X0))
      | s1most(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_33) ).

fof(f86,plain,
    ! [X0] :
      ( s1most(X0)
      | s2least(X0)
      | ~ s(X0,u7r2(X0)) ),
    inference(duplicate_literal_removal,[],[f85]) ).

fof(f85,plain,
    ! [X0] :
      ( ~ s(X0,u7r2(X0))
      | s1most(X0)
      | s1most(X0)
      | s2least(X0) ),
    inference(resolution,[],[f62,f31]) ).

fof(f31,axiom,
    ! [X0] :
      ( ~ equalish(u7r2(X0),u7r1(X0))
      | s1most(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_31) ).

fof(f62,plain,
    ! [X6,X7] :
      ( equalish(X7,u7r1(X6))
      | s2least(X6)
      | s1most(X6)
      | ~ s(X6,X7) ),
    inference(resolution,[],[f26,f32]) ).

fof(f32,axiom,
    ! [X0] :
      ( s(X0,u7r1(X0))
      | s1most(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_32) ).

fof(f26,axiom,
    ! [X2,X0,X1] :
      ( ~ s(X0,X2)
      | ~ s(X0,X1)
      | equalish(X1,X2)
      | s2least(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_26) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : KRS013-1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n025.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
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 00:41:44 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (22869)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.50  % (22871)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51  % (22878)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  % (22888)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.51  % (22871)Instruction limit reached!
% 0.20/0.51  % (22871)------------------------------
% 0.20/0.51  % (22871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (22863)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.51  % (22871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (22871)Termination reason: Unknown
% 0.20/0.51  % (22871)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (22871)Memory used [KB]: 5884
% 0.20/0.51  % (22871)Time elapsed: 0.099 s
% 0.20/0.51  % (22871)Instructions burned: 3 (million)
% 0.20/0.51  % (22871)------------------------------
% 0.20/0.51  % (22871)------------------------------
% 0.20/0.52  % (22863)First to succeed.
% 0.20/0.52  % (22863)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  % (22863)------------------------------
% 0.20/0.52  % (22863)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (22863)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (22863)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (22863)Memory used [KB]: 5884
% 0.20/0.52  % (22863)Time elapsed: 0.109 s
% 0.20/0.52  % (22863)Instructions burned: 3 (million)
% 0.20/0.52  % (22863)------------------------------
% 0.20/0.52  % (22863)------------------------------
% 0.20/0.52  % (22859)Success in time 0.167 s
%------------------------------------------------------------------------------