%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM020-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 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 : n028.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 18:03:17 EDT 2022

% Result   : Unsatisfiable 0.17s 0.45s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (  13 unt;   0 def)
%            Number of atoms       :   20 (   3 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   10 (   6   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f133,plain,
    $false,
    inference(subsumption_resolution,[],[f132,f16]) ).

fof(f16,plain,
    ~ equalish(sF1,sF2),
    inference(definition_folding,[],[f11,f15,f14,f13]) ).

fof(f13,plain,
    successor(n0) = sF0,
    introduced(function_definition,[]) ).

fof(f14,plain,
    sF1 = add(a,sF0),
    introduced(function_definition,[]) ).

fof(f15,plain,
    successor(a) = sF2,
    introduced(function_definition,[]) ).

fof(f11,axiom,
    ~ equalish(add(a,successor(n0)),successor(a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deny_addition_lemma) ).

fof(f132,plain,
    equalish(sF1,sF2),
    inference(forward_demodulation,[],[f129,f15]) ).

fof(f129,plain,
    equalish(sF1,successor(a)),
    inference(superposition,[],[f116,f14]) ).

fof(f116,plain,
    ! [X0] : equalish(add(X0,sF0),successor(X0)),
    inference(forward_demodulation,[],[f110,f13]) ).

fof(f110,plain,
    ! [X0] : equalish(add(X0,successor(n0)),successor(X0)),
    inference(resolution,[],[f60,f35]) ).

fof(f35,plain,
    ! [X3] : equalish(successor(add(X3,n0)),successor(X3)),
    inference(resolution,[],[f6,f1]) ).

fof(f1,axiom,
    ! [X0] : equalish(add(X0,n0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',adding_zero) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ~ equalish(X0,X1)
      | equalish(successor(X0),successor(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_substitution) ).

fof(f60,plain,
    ! [X10,X8,X9] :
      ( ~ equalish(successor(add(X8,X9)),X10)
      | equalish(add(X8,successor(X9)),X10) ),
    inference(resolution,[],[f9,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : equalish(add(X0,successor(X1)),successor(add(X0,X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addition) ).

fof(f9,axiom,
    ! [X2,X3,X4] :
      ( ~ equalish(X2,X3)
      | ~ equalish(X3,X4)
      | equalish(X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : NUM020-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.03/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.31  % Computer : n028.cluster.edu
% 0.12/0.31  % Model    : x86_64 x86_64
% 0.12/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31  % Memory   : 8042.1875MB
% 0.12/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31  % CPULimit   : 300
% 0.12/0.31  % WCLimit    : 300
% 0.12/0.31  % DateTime   : Tue Aug 30 05:58:48 EDT 2022
% 0.12/0.31  % CPUTime    : 
% 0.17/0.43  % (28203)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.44  % (28218)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.44  % (28202)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.44  % (28203)First to succeed.
% 0.17/0.45  % (28212)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.17/0.45  % (28203)Refutation found. Thanks to Tanya!
% 0.17/0.45  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.45  % (28203)------------------------------
% 0.17/0.45  % (28203)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.45  % (28203)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.45  % (28203)Termination reason: Refutation
% 0.17/0.45  
% 0.17/0.45  % (28203)Memory used [KB]: 5500
% 0.17/0.45  % (28203)Time elapsed: 0.081 s
% 0.17/0.45  % (28203)Instructions burned: 6 (million)
% 0.17/0.45  % (28203)------------------------------
% 0.17/0.45  % (28203)------------------------------
% 0.17/0.45  % (28195)Success in time 0.132 s
%------------------------------------------------------------------------------