TSTP Solution File: KRS126+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : KRS126+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n014.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 17:29:46 EDT 2022

% Result   : Unsatisfiable 0.16s 0.50s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   24 (   6 unt;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   34 (  16   ~;  10   |;   0   &)
%                                         (   3 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   27 (  20   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f41,plain,
    $false,
    inference(resolution,[],[f40,f38]) ).

fof(f38,plain,
    cd1xcomp(i2003_11_14_17_22_23554),
    inference(resolution,[],[f36,f32]) ).

fof(f32,plain,
    cUnsatisfiable(i2003_11_14_17_22_23554),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,axiom,
    cUnsatisfiable(i2003_11_14_17_22_23554),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).

fof(f36,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | cd1xcomp(X0) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0] :
      ( cd1xcomp(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( cUnsatisfiable(X0)
     => cd1xcomp(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f40,plain,
    ~ cd1xcomp(i2003_11_14_17_22_23554),
    inference(resolution,[],[f39,f37]) ).

fof(f37,plain,
    cd1(i2003_11_14_17_22_23554),
    inference(resolution,[],[f35,f32]) ).

fof(f35,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | cd1(X0) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | cd1(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( cUnsatisfiable(X0)
     => cd1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f39,plain,
    ! [X0] :
      ( ~ cd1(X0)
      | ~ cd1xcomp(X0) ),
    inference(resolution,[],[f33,f34]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ~ ra_Px2(X0,X1)
      | ~ cd1xcomp(X0) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0] :
      ( ~ cd1xcomp(X0)
      | ! [X1] : ~ ra_Px2(X0,X1) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0] :
      ( cd1xcomp(X0)
     => ~ ? [X1] : ra_Px2(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( cd1xcomp(X0)
    <=> ~ ? [X1] : ra_Px2(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

fof(f33,plain,
    ! [X0] :
      ( ra_Px2(X0,sK0(X0))
      | ~ cd1(X0) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0] :
      ( ra_Px2(X0,sK0(X0))
      | ~ cd1(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f27,f30]) ).

fof(f30,plain,
    ! [X0] :
      ( ? [X1] : ra_Px2(X0,X1)
     => ra_Px2(X0,sK0(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f27,plain,
    ! [X0] :
      ( ? [X1] : ra_Px2(X0,X1)
      | ~ cd1(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0] :
      ( cd1(X0)
     => ? [X1] : ra_Px2(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f14]) ).

fof(f14,plain,
    ! [X0] :
      ( ? [X1] : ra_Px2(X0,X1)
    <=> cd1(X0) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( cd1(X0)
    <=> ? [X2] : ra_Px2(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : KRS126+1 : TPTP v8.1.0. Released v3.1.0.
% 0.05/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.32  % Computer : n014.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Aug 30 00:35:18 EDT 2022
% 0.11/0.32  % CPUTime    : 
% 0.16/0.47  % (14666)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.16/0.48  % (14665)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.16/0.48  % (14666)Refutation not found, incomplete strategy% (14666)------------------------------
% 0.16/0.48  % (14666)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48  % (14666)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.48  % (14666)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.48  
% 0.16/0.48  % (14666)Memory used [KB]: 5884
% 0.16/0.48  % (14666)Time elapsed: 0.003 s
% 0.16/0.48  % (14666)Instructions burned: 1 (million)
% 0.16/0.48  % (14666)------------------------------
% 0.16/0.48  % (14666)------------------------------
% 0.16/0.48  % (14665)Refutation not found, incomplete strategy% (14665)------------------------------
% 0.16/0.48  % (14665)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48  % (14665)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.48  % (14665)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.48  
% 0.16/0.48  % (14665)Memory used [KB]: 1407
% 0.16/0.48  % (14665)Time elapsed: 0.002 s
% 0.16/0.48  % (14665)Instructions burned: 1 (million)
% 0.16/0.48  % (14665)------------------------------
% 0.16/0.48  % (14665)------------------------------
% 0.16/0.49  % (14683)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.16/0.49  % (14682)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.16/0.49  % (14682)First to succeed.
% 0.16/0.49  % (14683)Refutation not found, incomplete strategy% (14683)------------------------------
% 0.16/0.49  % (14683)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49  % (14675)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.49  % (14683)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49  % (14683)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.49  
% 0.16/0.49  % (14683)Memory used [KB]: 1407
% 0.16/0.49  % (14683)Time elapsed: 0.004 s
% 0.16/0.49  % (14683)Instructions burned: 1 (million)
% 0.16/0.49  % (14683)------------------------------
% 0.16/0.49  % (14683)------------------------------
% 0.16/0.49  % (14667)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.16/0.49  % (14667)Refutation not found, incomplete strategy% (14667)------------------------------
% 0.16/0.49  % (14667)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49  % (14667)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49  % (14667)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.49  
% 0.16/0.50  % (14667)Memory used [KB]: 5884
% 0.16/0.50  % (14667)Time elapsed: 0.003 s
% 0.16/0.50  % (14667)Instructions burned: 2 (million)
% 0.16/0.50  % (14667)------------------------------
% 0.16/0.50  % (14667)------------------------------
% 0.16/0.50  % (14674)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.50  % (14674)Also succeeded, but the first one will report.
% 0.16/0.50  % (14682)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  % (14682)------------------------------
% 0.16/0.50  % (14682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50  % (14682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50  % (14682)Termination reason: Refutation
% 0.16/0.50  
% 0.16/0.50  % (14682)Memory used [KB]: 5884
% 0.16/0.50  % (14682)Time elapsed: 0.101 s
% 0.16/0.50  % (14682)Instructions burned: 2 (million)
% 0.16/0.50  % (14682)------------------------------
% 0.16/0.50  % (14682)------------------------------
% 0.16/0.50  % (14659)Success in time 0.174 s
%------------------------------------------------------------------------------