TSTP Solution File: KLE058+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---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_uns --cores 0 -t %d %s

% Computer : n022.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 17:27:56 EDT 2022

% Result   : Theorem 0.19s 0.47s
% Output   : Refutation 0.19s
% 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(f103,plain,
    $false,
    inference(subsumption_resolution,[],[f102,f36]) ).

fof(f36,plain,
    one != domain(one),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,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/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(f102,plain,
    one = domain(one),
    inference(forward_demodulation,[],[f98,f46]) ).

fof(f46,plain,
    ! [X5] : one = addition(one,domain(X5)),
    inference(superposition,[],[f42,f35]) ).

fof(f35,plain,
    ! [X0] : one = addition(domain(X0),one),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0] : one = addition(domain(X0),one),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X3] : one = addition(domain(X3),one),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain3) ).

fof(f42,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,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/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).

fof(f98,plain,
    domain(one) = addition(one,domain(one)),
    inference(superposition,[],[f45,f40]) ).

fof(f40,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] : multiplication(X0,one) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).

fof(f45,plain,
    ! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,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/sandbox2/benchmark/theBenchmark.p',domain1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : KLE058+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n022.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % 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 00:25:41 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.46  % (7312)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.46  % (7312)Refutation not found, incomplete strategy% (7312)------------------------------
% 0.19/0.46  % (7312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46  % (7312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46  % (7312)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.46  
% 0.19/0.46  % (7312)Memory used [KB]: 5884
% 0.19/0.46  % (7312)Time elapsed: 0.059 s
% 0.19/0.46  % (7312)Instructions burned: 1 (million)
% 0.19/0.46  % (7312)------------------------------
% 0.19/0.46  % (7312)------------------------------
% 0.19/0.46  % (7327)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.47  % (7327)First to succeed.
% 0.19/0.47  % (7327)Refutation found. Thanks to Tanya!
% 0.19/0.47  % SZS status Theorem for theBenchmark
% 0.19/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47  % (7327)------------------------------
% 0.19/0.47  % (7327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47  % (7327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47  % (7327)Termination reason: Refutation
% 0.19/0.47  
% 0.19/0.47  % (7327)Memory used [KB]: 6012
% 0.19/0.47  % (7327)Time elapsed: 0.074 s
% 0.19/0.47  % (7327)Instructions burned: 6 (million)
% 0.19/0.47  % (7327)------------------------------
% 0.19/0.47  % (7327)------------------------------
% 0.19/0.47  % (7300)Success in time 0.125 s
%------------------------------------------------------------------------------