%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : COL111-2 : TPTP v8.1.0. Released v3.2.0.
% 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 : n029.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 15:52:54 EDT 2022

% Result   : Unsatisfiable 0.23s 0.51s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   11 (   9 unt;   0 def)
%            Number of atoms       :   13 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   6   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-4 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f11,plain,
    $false,
    inference(subsumption_resolution,[],[f10,f7]) ).

fof(f7,plain,
    c_in(sF1,c_Comb_Oparcontract,sF0),
    inference(definition_folding,[],[f1,f4,f6]) ).

fof(f6,plain,
    c_Pair(v_x,v_y_H,tc_Comb_Ocomb,tc_Comb_Ocomb) = sF1,
    introduced(function_definition,[]) ).

fof(f4,plain,
    tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb) = sF0,
    introduced(function_definition,[]) ).

fof(f1,axiom,
    c_in(c_Pair(v_x,v_y_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f10,plain,
    ~ c_in(sF1,c_Comb_Oparcontract,sF0),
    inference(forward_demodulation,[],[f9,f6]) ).

fof(f9,plain,
    ~ c_in(c_Pair(v_x,v_y_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sF0),
    inference(resolution,[],[f5,f8]) ).

fof(f8,plain,
    ! [X1] : c_in(c_Pair(X1,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sF0),
    inference(forward_demodulation,[],[f3,f4]) ).

fof(f3,axiom,
    ! [X1] : c_in(c_Pair(X1,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Comb_Oparcontract_Ointros__1_0) ).

fof(f5,plain,
    ! [X0] :
      ( ~ c_in(c_Pair(v_y_H,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sF0)
      | ~ c_in(c_Pair(v_x,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,sF0) ),
    inference(definition_folding,[],[f2,f4,f4]) ).

fof(f2,axiom,
    ! [X0] :
      ( ~ c_in(c_Pair(v_y_H,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
      | ~ c_in(c_Pair(v_x,X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem    : COL111-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.16/0.37  % Computer : n029.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Mon Aug 29 17:03:56 EDT 2022
% 0.16/0.37  % CPUTime    : 
% 0.23/0.50  % (5886)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.23/0.51  % (5878)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)
% 0.23/0.51  % (5870)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.23/0.51  % (5870)First to succeed.
% 0.23/0.51  % (5870)Refutation found. Thanks to Tanya!
% 0.23/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.23/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.51  % (5870)------------------------------
% 0.23/0.51  % (5870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.51  % (5870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.51  % (5870)Termination reason: Refutation
% 0.23/0.51  
% 0.23/0.51  % (5870)Memory used [KB]: 5373
% 0.23/0.51  % (5870)Time elapsed: 0.082 s
% 0.23/0.51  % (5870)Instructions burned: 2 (million)
% 0.23/0.51  % (5870)------------------------------
% 0.23/0.51  % (5870)------------------------------
% 0.23/0.51  % (5857)Success in time 0.136 s
%------------------------------------------------------------------------------