%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL360-1 : TPTP v8.1.0. Released v2.3.0.
% 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 : n009.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 17:48:02 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   18 (  16 unt;   0 def)
%            Number of atoms       :   21 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f161,plain,
    $false,
    inference(subsumption_resolution,[],[f160,f11]) ).

fof(f11,plain,
    ~ is_a_theorem(sF4),
    inference(definition_folding,[],[f5,f10,f9,f8,f7,f6]) ).

fof(f6,plain,
    not(x) = sF0,
    introduced(function_definition,[]) ).

fof(f7,plain,
    implies(sF0,y) = sF1,
    introduced(function_definition,[]) ).

fof(f8,plain,
    implies(sF1,z) = sF2,
    introduced(function_definition,[]) ).

fof(f9,plain,
    implies(x,z) = sF3,
    introduced(function_definition,[]) ).

fof(f10,plain,
    implies(sF2,sF3) = sF4,
    introduced(function_definition,[]) ).

fof(f5,axiom,
    ~ is_a_theorem(implies(implies(implies(not(x),y),z),implies(x,z))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_09) ).

fof(f160,plain,
    is_a_theorem(sF4),
    inference(subsumption_resolution,[],[f159,f14]) ).

fof(f14,plain,
    is_a_theorem(implies(x,sF1)),
    inference(superposition,[],[f13,f7]) ).

fof(f13,plain,
    ! [X0] : is_a_theorem(implies(x,implies(sF0,X0))),
    inference(superposition,[],[f4,f6]) ).

fof(f4,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).

fof(f159,plain,
    ( ~ is_a_theorem(implies(x,sF1))
    | is_a_theorem(sF4) ),
    inference(resolution,[],[f158,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(X1)
      | ~ is_a_theorem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).

fof(f158,plain,
    is_a_theorem(implies(implies(x,sF1),sF4)),
    inference(forward_demodulation,[],[f156,f10]) ).

fof(f156,plain,
    is_a_theorem(implies(implies(x,sF1),implies(sF2,sF3))),
    inference(superposition,[],[f73,f9]) ).

fof(f73,plain,
    ! [X2] : is_a_theorem(implies(implies(X2,sF1),implies(sF2,implies(X2,z)))),
    inference(superposition,[],[f2,f8]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL360-1 : TPTP v8.1.0. Released v2.3.0.
% 0.03/0.13  % 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 : n009.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 01:54:50 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.48  % (640)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.49  % (630)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)
% 0.20/0.50  % (640)First to succeed.
% 0.20/0.50  % (673)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 (3000ds/177Mi)
% 0.20/0.50  % (649)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.50  % (640)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (640)------------------------------
% 0.20/0.50  % (640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (640)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (640)Memory used [KB]: 5500
% 0.20/0.50  % (640)Time elapsed: 0.090 s
% 0.20/0.50  % (640)Instructions burned: 5 (million)
% 0.20/0.50  % (640)------------------------------
% 0.20/0.50  % (640)------------------------------
% 0.20/0.50  % (622)Success in time 0.147 s
%------------------------------------------------------------------------------