TSTP Solution File: KRS125+1 by SnakeForV-SAT---1.0

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : KRS125+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_sat --cores 0 -t %d %s

% Computer : n026.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 17:30:52 EDT 2022

% Result   : Unsatisfiable 0.20s 0.56s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   35 (   4 unt;   0 def)
%            Number of atoms       :   69 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   65 (  31   ~;  20   |;   3   &)
%                                         (   4 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   41 (  34   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f50,plain,
    $false,
    inference(resolution,[],[f49,f41]) ).

fof(f41,plain,
    cUnsatisfiable(i2003_11_14_17_22_17947),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,axiom,
    cUnsatisfiable(i2003_11_14_17_22_17947),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).

fof(f49,plain,
    ! [X0] : ~ cUnsatisfiable(X0),
    inference(duplicate_literal_removal,[],[f48]) ).

fof(f48,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f47,f36]) ).

fof(f36,plain,
    ! [X0] :
      ( ce3(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0] :
      ( ( ce3(X0)
        & cf(X0) )
      | ~ cUnsatisfiable(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
     => ( ce3(X0)
        & cf(X0) ) ),
    inference(unused_predicate_definition_removal,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( ( ce3(X0)
        & cf(X0) )
    <=> cUnsatisfiable(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f47,plain,
    ! [X0] :
      ( ~ ce3(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f46,f35]) ).

fof(f35,plain,
    ! [X0] :
      ( cf(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f46,plain,
    ! [X0] :
      ( ~ cf(X0)
      | ~ ce3(X0) ),
    inference(resolution,[],[f45,f42]) ).

fof(f42,plain,
    ! [X0] :
      ( cc(X0)
      | ~ ce3(X0) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0] :
      ( cc(X0)
      | ~ ce3(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( ce3(X0)
     => cc(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).

fof(f45,plain,
    ! [X0] :
      ( ~ cc(X0)
      | ~ cf(X0) ),
    inference(resolution,[],[f44,f40]) ).

fof(f40,plain,
    ! [X0] :
      ( cdxcomp(X0)
      | ~ cc(X0) ),
    inference(cnf_transformation,[],[f29]) ).

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

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

fof(f44,plain,
    ! [X0] :
      ( ~ cdxcomp(X0)
      | ~ cf(X0) ),
    inference(resolution,[],[f43,f39]) ).

fof(f39,plain,
    ! [X0] :
      ( cd(X0)
      | ~ cf(X0) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0] :
      ( ~ cf(X0)
      | cd(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( cf(X0)
     => cd(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).

fof(f43,plain,
    ! [X0] :
      ( ~ cd(X0)
      | ~ cdxcomp(X0) ),
    inference(resolution,[],[f38,f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ~ ra_Px1(X0,X1)
      | ~ cd(X0) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0] :
      ( ~ cd(X0)
      | ! [X1] : ~ ra_Px1(X0,X1) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,plain,
    ! [X0] :
      ( cd(X0)
     => ~ ? [X1] : ra_Px1(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( cd(X0)
    <=> ~ ? [X1] : ra_Px1(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

fof(f38,plain,
    ! [X0] :
      ( ra_Px1(X0,sK0(X0))
      | ~ cdxcomp(X0) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0] :
      ( ~ cdxcomp(X0)
      | ra_Px1(X0,sK0(X0)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f31,f33]) ).

fof(f33,plain,
    ! [X0] :
      ( ? [X1] : ra_Px1(X0,X1)
     => ra_Px1(X0,sK0(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f31,plain,
    ! [X0] :
      ( ~ cdxcomp(X0)
      | ? [X1] : ra_Px1(X0,X1) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0] :
      ( cdxcomp(X0)
     => ? [X1] : ra_Px1(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f15]) ).

fof(f15,plain,
    ! [X0] :
      ( ? [X1] : ra_Px1(X0,X1)
    <=> cdxcomp(X0) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( cdxcomp(X0)
    <=> ? [X2] : ra_Px1(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : KRS125+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n026.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 00:48:35 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.55  % (14864)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55  % (14872)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56  % (14872)First to succeed.
% 0.20/0.56  % (14872)Refutation found. Thanks to Tanya!
% 0.20/0.56  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56  % (14872)------------------------------
% 0.20/0.56  % (14872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (14872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (14872)Termination reason: Refutation
% 0.20/0.56  
% 0.20/0.56  % (14872)Memory used [KB]: 895
% 0.20/0.56  % (14872)Time elapsed: 0.118 s
% 0.20/0.56  % (14872)Instructions burned: 2 (million)
% 0.20/0.56  % (14872)------------------------------
% 0.20/0.56  % (14872)------------------------------
% 0.20/0.56  % (14862)Success in time 0.199 s
%------------------------------------------------------------------------------