%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL431-2 : 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 : 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 17:48:17 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   16 (   3 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   6   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f15,plain,
    $false,
    inference(subsumption_resolution,[],[f14,f7]) ).

fof(f7,plain,
    ~ c_in(v_p,sF0,sF1),
    inference(definition_folding,[],[f2,f6,f5]) ).

fof(f5,plain,
    c_PropLog_Othms(c_emptyset,t_a) = sF0,
    introduced(function_definition,[]) ).

fof(f6,plain,
    tc_PropLog_Opl(t_a) = sF1,
    introduced(function_definition,[]) ).

fof(f2,axiom,
    ~ c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f14,plain,
    c_in(v_p,sF0,sF1),
    inference(resolution,[],[f12,f1]) ).

fof(f1,axiom,
    c_PropLog_Osat(c_emptyset,v_p,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f12,plain,
    ! [X0] :
      ( ~ c_PropLog_Osat(c_emptyset,X0,t_a)
      | c_in(X0,sF0,sF1) ),
    inference(forward_demodulation,[],[f11,f5]) ).

fof(f11,plain,
    ! [X0] :
      ( c_in(X0,c_PropLog_Othms(c_emptyset,t_a),sF1)
      | ~ c_PropLog_Osat(c_emptyset,X0,t_a) ),
    inference(superposition,[],[f8,f6]) ).

fof(f8,plain,
    ! [X2,X0] :
      ( c_in(X0,c_PropLog_Othms(c_emptyset,X2),tc_PropLog_Opl(X2))
      | ~ c_PropLog_Osat(c_emptyset,X0,X2) ),
    inference(superposition,[],[f3,f4]) ).

fof(f4,axiom,
    ! [X1,X4] : c_emptyset = c_minus(X4,X4,tc_set(X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_ODiff__cancel_0) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(X0,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(X0,X2,X1),c_PropLog_Ohyps(X0,X3,X1),tc_set(tc_PropLog_Opl(X1))),X1),tc_PropLog_Opl(X1))
      | ~ c_PropLog_Osat(c_emptyset,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Ocompleteness__0__lemma__dest_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL431-2 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.13  % 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 : n014.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 02:01:03 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.51  % (9627)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.52  % (9621)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.20/0.52  % (9643)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.20/0.52  % (9635)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.52  % (9643)First to succeed.
% 0.20/0.52  % (9627)Instruction limit reached!
% 0.20/0.52  % (9627)------------------------------
% 0.20/0.52  % (9627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (9643)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (9643)------------------------------
% 0.20/0.52  % (9643)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (9643)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (9643)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (9643)Memory used [KB]: 5373
% 0.20/0.52  % (9643)Time elapsed: 0.116 s
% 0.20/0.52  % (9643)Instructions burned: 2 (million)
% 0.20/0.52  % (9643)------------------------------
% 0.20/0.52  % (9643)------------------------------
% 0.20/0.52  % (9618)Success in time 0.17 s
%------------------------------------------------------------------------------