TSTP Solution File: FLD021-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : FLD021-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n020.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 16:05:30 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   12 (   5 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   26 (  16   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f64,plain,
    $false,
    inference(subsumption_resolution,[],[f63,f30]) ).

fof(f30,axiom,
    equalish(m,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_equals_additive_identity_3) ).

fof(f63,plain,
    ~ equalish(m,additive_identity),
    inference(subsumption_resolution,[],[f60,f28]) ).

fof(f28,axiom,
    defined(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).

fof(f60,plain,
    ( ~ defined(a)
    | ~ equalish(m,additive_identity) ),
    inference(resolution,[],[f43,f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( equalish(add(additive_identity,X0),X0)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).

fof(f43,plain,
    ! [X0] :
      ( ~ equalish(add(X0,a),a)
      | ~ equalish(m,X0) ),
    inference(subsumption_resolution,[],[f36,f28]) ).

fof(f36,plain,
    ! [X0] :
      ( ~ defined(a)
      | ~ equalish(m,X0)
      | ~ equalish(add(X0,a),a) ),
    inference(resolution,[],[f33,f24]) ).

fof(f24,axiom,
    ! [X2,X0,X1] :
      ( equalish(add(X0,X2),add(X1,X2))
      | ~ equalish(X0,X1)
      | ~ defined(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_addition) ).

fof(f33,plain,
    ! [X0] :
      ( ~ equalish(add(m,a),X0)
      | ~ equalish(X0,a) ),
    inference(resolution,[],[f31,f23]) ).

fof(f23,axiom,
    ! [X2,X0,X1] :
      ( equalish(X0,X2)
      | ~ equalish(X1,X2)
      | ~ equalish(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_equality) ).

fof(f31,axiom,
    ~ equalish(add(m,a),a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_not_equal_to_a_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : FLD021-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 20:39:30 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  % (24690)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.48  % (24696)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.48  % (24687)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.49  % (24687)Instruction limit reached!
% 0.20/0.49  % (24687)------------------------------
% 0.20/0.49  % (24687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (24687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (24687)Termination reason: Unknown
% 0.20/0.49  % (24687)Termination phase: Saturation
% 0.20/0.49  
% 0.20/0.49  % (24687)Memory used [KB]: 6012
% 0.20/0.49  % (24687)Time elapsed: 0.095 s
% 0.20/0.49  % (24687)Instructions burned: 8 (million)
% 0.20/0.49  % (24687)------------------------------
% 0.20/0.49  % (24687)------------------------------
% 0.20/0.49  % (24690)Instruction limit reached!
% 0.20/0.49  % (24690)------------------------------
% 0.20/0.49  % (24690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (24690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (24690)Termination reason: Unknown
% 0.20/0.49  % (24690)Termination phase: Saturation
% 0.20/0.49  
% 0.20/0.49  % (24690)Memory used [KB]: 5884
% 0.20/0.49  % (24690)Time elapsed: 0.103 s
% 0.20/0.49  % (24690)Instructions burned: 3 (million)
% 0.20/0.49  % (24690)------------------------------
% 0.20/0.49  % (24690)------------------------------
% 0.20/0.49  % (24679)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.50  % (24706)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.50  % (24696)First to succeed.
% 0.20/0.50  % (24696)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (24696)------------------------------
% 0.20/0.50  % (24696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (24696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (24696)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (24696)Memory used [KB]: 5884
% 0.20/0.50  % (24696)Time elapsed: 0.114 s
% 0.20/0.50  % (24696)Instructions burned: 2 (million)
% 0.20/0.50  % (24696)------------------------------
% 0.20/0.50  % (24696)------------------------------
% 0.20/0.50  % (24676)Success in time 0.145 s
%------------------------------------------------------------------------------