TSTP Solution File: KLE053+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : KLE053+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 : n011.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 17:27:55 EDT 2022

% Result   : Theorem 0.15s 0.49s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (  16 unt;   0 def)
%            Number of atoms       :   18 (  17 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   8   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   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;   2 con; 0-2 aty)
%            Number of variables   :   17 (  15   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f88,plain,
    $false,
    inference(trivial_inequality_removal,[],[f86]) ).

fof(f86,plain,
    domain(sK0) != domain(sK0),
    inference(backward_demodulation,[],[f45,f85]) ).

fof(f85,plain,
    ! [X0] : domain(domain(X0)) = domain(X0),
    inference(forward_demodulation,[],[f76,f50]) ).

fof(f50,plain,
    ! [X0] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] : multiplication(one,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).

fof(f76,plain,
    ! [X0] : domain(multiplication(one,X0)) = domain(domain(X0)),
    inference(superposition,[],[f46,f50]) ).

fof(f46,plain,
    ! [X0,X1] : domain(multiplication(X0,domain(X1))) = domain(multiplication(X0,X1)),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1] : domain(multiplication(X0,domain(X1))) = domain(multiplication(X0,X1)),
    inference(rectify,[],[f22]) ).

fof(f22,plain,
    ! [X1,X0] : domain(multiplication(X1,X0)) = domain(multiplication(X1,domain(X0))),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X4,X3] : domain(multiplication(X3,X4)) = domain(multiplication(X3,domain(X4))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain2) ).

fof(f45,plain,
    domain(sK0) != domain(domain(sK0)),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    domain(sK0) != domain(domain(sK0)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f28,f31]) ).

fof(f31,plain,
    ( ? [X0] : domain(domain(X0)) != domain(X0)
   => domain(sK0) != domain(domain(sK0)) ),
    introduced(choice_axiom,[]) ).

fof(f28,plain,
    ? [X0] : domain(domain(X0)) != domain(X0),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,plain,
    ~ ! [X0] : domain(domain(X0)) = domain(X0),
    inference(rectify,[],[f19]) ).

fof(f19,negated_conjecture,
    ~ ! [X3] : domain(X3) = domain(domain(X3)),
    inference(negated_conjecture,[],[f18]) ).

fof(f18,conjecture,
    ! [X3] : domain(X3) = domain(domain(X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : KLE053+1 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.31  % Computer : n011.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Aug 30 00:21:55 EDT 2022
% 0.10/0.32  % CPUTime    : 
% 0.15/0.47  % (7678)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.47  % (7669)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.15/0.47  % (7689)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.15/0.47  % (7670)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.15/0.48  % (7673)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.48  % (7677)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.48  % (7678)Refutation not found, incomplete strategy% (7678)------------------------------
% 0.15/0.48  % (7678)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  % (7678)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48  % (7678)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.48  
% 0.15/0.48  % (7678)Memory used [KB]: 6012
% 0.15/0.48  % (7678)Time elapsed: 0.113 s
% 0.15/0.48  % (7678)Instructions burned: 2 (million)
% 0.15/0.48  % (7678)------------------------------
% 0.15/0.48  % (7678)------------------------------
% 0.15/0.48  % (7677)First to succeed.
% 0.15/0.49  % (7677)Refutation found. Thanks to Tanya!
% 0.15/0.49  % SZS status Theorem for theBenchmark
% 0.15/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.49  % (7677)------------------------------
% 0.15/0.49  % (7677)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49  % (7677)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49  % (7677)Termination reason: Refutation
% 0.15/0.49  
% 0.15/0.49  % (7677)Memory used [KB]: 5884
% 0.15/0.49  % (7677)Time elapsed: 0.114 s
% 0.15/0.49  % (7677)Instructions burned: 3 (million)
% 0.15/0.49  % (7677)------------------------------
% 0.15/0.49  % (7677)------------------------------
% 0.15/0.49  % (7661)Success in time 0.164 s
%------------------------------------------------------------------------------