TSTP Solution File: KRS001-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : KRS001-1 : 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_sat --cores 0 -t %d %s

% Computer : n012.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 17:30:34 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   20 (   7 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   48 (  27   ~;  21   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f45,plain,
    $false,
    inference(resolution,[],[f43,f21]) ).

fof(f21,plain,
    r2least(exist),
    inference(resolution,[],[f20,f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( ~ c(X0)
      | r2least(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

fof(f20,plain,
    c(exist),
    inference(resolution,[],[f15,f1]) ).

fof(f1,axiom,
    e(exist),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

fof(f15,axiom,
    ! [X0] :
      ( ~ e(X0)
      | c(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).

fof(f43,plain,
    ~ r2least(exist),
    inference(resolution,[],[f42,f18]) ).

fof(f18,plain,
    r1most(exist),
    inference(resolution,[],[f17,f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( ~ d(X0)
      | r1most(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).

fof(f17,plain,
    d(exist),
    inference(resolution,[],[f14,f1]) ).

fof(f14,axiom,
    ! [X0] :
      ( ~ e(X0)
      | d(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14) ).

fof(f42,plain,
    ! [X0] :
      ( ~ r1most(X0)
      | ~ r2least(X0) ),
    inference(duplicate_literal_removal,[],[f41]) ).

fof(f41,plain,
    ! [X0] :
      ( ~ r2least(X0)
      | ~ r2least(X0)
      | ~ r1most(X0) ),
    inference(resolution,[],[f40,f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( r(X0,u1r2(X0))
      | ~ r2least(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).

fof(f40,plain,
    ! [X0] :
      ( ~ r(X0,u1r2(X0))
      | ~ r1most(X0)
      | ~ r2least(X0) ),
    inference(duplicate_literal_removal,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ~ r2least(X0)
      | ~ r1most(X0)
      | ~ r(X0,u1r2(X0))
      | ~ r2least(X0) ),
    inference(resolution,[],[f29,f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ~ equalish(u1r2(X0),u1r1(X0))
      | ~ r2least(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).

fof(f29,plain,
    ! [X2,X3] :
      ( equalish(X2,u1r1(X3))
      | ~ r1most(X3)
      | ~ r(X3,X2)
      | ~ r2least(X3) ),
    inference(resolution,[],[f10,f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( r(X0,u1r1(X0))
      | ~ r2least(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).

fof(f10,axiom,
    ! [X2,X0,X1] :
      ( ~ r(X0,X2)
      | equalish(X1,X2)
      | ~ r1most(X0)
      | ~ r(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : KRS001-1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n012.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 00:28:51 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (4665)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (4666)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 (2999ds/48Mi)
% 0.19/0.50  % (4667)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (4687)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 (2999ds/68Mi)
% 0.19/0.51  % (4664)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (4664)First to succeed.
% 0.19/0.52  % (4681)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.52  % (4674)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52  % (4672)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52  % (4689)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)
% 0.19/0.52  % (4669)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52  % (4669)Instruction limit reached!
% 0.19/0.52  % (4669)------------------------------
% 0.19/0.52  % (4669)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (4669)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (4669)Termination reason: Unknown
% 0.19/0.52  % (4669)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (4669)Memory used [KB]: 5373
% 0.19/0.52  % (4669)Time elapsed: 0.115 s
% 0.19/0.52  % (4669)Instructions burned: 2 (million)
% 0.19/0.52  % (4669)------------------------------
% 0.19/0.52  % (4669)------------------------------
% 0.19/0.52  % (4664)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (4664)------------------------------
% 0.19/0.52  % (4664)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (4664)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (4664)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (4664)Memory used [KB]: 5373
% 0.19/0.52  % (4664)Time elapsed: 0.106 s
% 0.19/0.52  % (4664)Instructions burned: 1 (million)
% 0.19/0.52  % (4664)------------------------------
% 0.19/0.52  % (4664)------------------------------
% 0.19/0.52  % (4660)Success in time 0.168 s
%------------------------------------------------------------------------------