%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : KLE058+1 : TPTP v8.1.0. Released 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 : n023.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 17:29:00 EDT 2022

% Result   : Theorem 0.18s 0.45s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   19 (  19 unt;   0 def)
%            Number of atoms       :   19 (  18 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f83,plain,
    $false,
    inference(subsumption_resolution,[],[f82,f43]) ).

fof(f43,plain,
    one != domain(one),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    one != domain(one),
    inference(flattening,[],[f19]) ).

fof(f19,negated_conjecture,
    one != domain(one),
    inference(negated_conjecture,[],[f18]) ).

fof(f18,conjecture,
    one = domain(one),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(f82,plain,
    one = domain(one),
    inference(forward_demodulation,[],[f80,f53]) ).

fof(f53,plain,
    ! [X1] : one = addition(one,domain(X1)),
    inference(superposition,[],[f37,f39]) ).

fof(f39,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ! [X1,X0] : addition(X0,X1) = addition(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).

fof(f37,plain,
    ! [X0] : one = addition(domain(X0),one),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0] : one = addition(domain(X0),one),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X3] : one = addition(domain(X3),one),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain3) ).

fof(f80,plain,
    domain(one) = addition(one,domain(one)),
    inference(superposition,[],[f36,f49]) ).

fof(f49,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] : multiplication(X0,one) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).

fof(f36,plain,
    ! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X3] : multiplication(domain(X3),X3) = addition(X3,multiplication(domain(X3),X3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : KLE058+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.33  % Computer : n023.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Tue Aug 30 00:45:35 EDT 2022
% 0.18/0.33  % CPUTime    : 
% 0.18/0.44  % (27453)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)
% 0.18/0.45  % (27453)First to succeed.
% 0.18/0.45  % (27453)Refutation found. Thanks to Tanya!
% 0.18/0.45  % SZS status Theorem for theBenchmark
% 0.18/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.45  % (27453)------------------------------
% 0.18/0.45  % (27453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.45  % (27453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.45  % (27453)Termination reason: Refutation
% 0.18/0.45  
% 0.18/0.45  % (27453)Memory used [KB]: 895
% 0.18/0.45  % (27453)Time elapsed: 0.055 s
% 0.18/0.45  % (27453)Instructions burned: 3 (million)
% 0.18/0.45  % (27453)------------------------------
% 0.18/0.45  % (27453)------------------------------
% 0.18/0.45  % (27430)Success in time 0.111 s
%------------------------------------------------------------------------------