%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL079-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n011.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 17:46:47 EDT 2022

% Result   : Unsatisfiable 0.22s 0.48s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   13 (   7 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   19 (  10   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f124,plain,
    $false,
    inference(subsumption_resolution,[],[f122,f7]) ).

fof(f7,axiom,
    ~ is_a_theorem(implies(a,c)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_transitivity) ).

fof(f122,plain,
    is_a_theorem(implies(a,c)),
    inference(resolution,[],[f92,f5]) ).

fof(f5,axiom,
    is_a_theorem(implies(a,b)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_implies_b) ).

fof(f92,plain,
    ! [X21] :
      ( ~ is_a_theorem(implies(X21,b))
      | is_a_theorem(implies(X21,c)) ),
    inference(resolution,[],[f62,f6]) ).

fof(f6,axiom,
    is_a_theorem(implies(b,c)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_implies_c) ).

fof(f62,plain,
    ! [X2,X3,X4] :
      ( ~ is_a_theorem(implies(X3,X4))
      | is_a_theorem(implies(X2,X4))
      | ~ is_a_theorem(implies(X2,X3)) ),
    inference(resolution,[],[f60,f10]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X1) ),
    inference(resolution,[],[f1,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_18) ).

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(f60,plain,
    ! [X3,X4,X5] :
      ( ~ is_a_theorem(implies(X3,implies(X4,X5)))
      | ~ is_a_theorem(implies(X3,X4))
      | is_a_theorem(implies(X3,X5)) ),
    inference(resolution,[],[f26,f1]) ).

fof(f26,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
      | ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f3,f1]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_35) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : LCL079-1 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.36  % Computer : n011.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit   : 300
% 0.13/0.36  % WCLimit    : 300
% 0.13/0.36  % DateTime   : Tue Aug 30 01:31:40 EDT 2022
% 0.13/0.36  % CPUTime    : 
% 0.22/0.47  % (5654)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.22/0.47  % (5638)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.48  % (5638)First to succeed.
% 0.22/0.48  % (5638)Refutation found. Thanks to Tanya!
% 0.22/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.48  % (5638)------------------------------
% 0.22/0.48  % (5638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.48  % (5638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.48  % (5638)Termination reason: Refutation
% 0.22/0.48  
% 0.22/0.48  % (5638)Memory used [KB]: 5500
% 0.22/0.48  % (5638)Time elapsed: 0.061 s
% 0.22/0.48  % (5638)Instructions burned: 4 (million)
% 0.22/0.48  % (5638)------------------------------
% 0.22/0.48  % (5638)------------------------------
% 0.22/0.48  % (5630)Success in time 0.113 s
%------------------------------------------------------------------------------