TSTP Solution File: ROB016-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ROB016-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n029.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 18:16:03 EDT 2022

% Result   : Unsatisfiable 0.22s 0.58s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    8 (   7 unt;   0 def)
%            Number of atoms       :   10 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    8 (   3 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f16,plain,
    $false,
    inference(subsumption_resolution,[],[f15,f12]) ).

fof(f12,plain,
    d = negate(add(negate(e),negate(add(d,negate(e))))),
    inference(superposition,[],[f3,f8]) ).

fof(f8,axiom,
    negate(add(d,e)) = negate(e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condition) ).

fof(f3,axiom,
    ! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',robbins_axiom) ).

fof(f15,plain,
    d != negate(add(negate(e),negate(add(d,negate(e))))),
    inference(unit_resulting_resolution,[],[f9,f11,f10]) ).

fof(f10,axiom,
    ! [X0,X1,X4] :
      ( ~ positive_integer(X4)
      | negate(add(negate(X1),negate(add(X0,negate(X1))))) != X0
      | negate(X1) = negate(add(X1,multiply(X4,add(X0,negate(add(X0,negate(X1))))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_3_6) ).

fof(f11,axiom,
    negate(e) != negate(add(e,multiply(k,add(d,negate(add(d,negate(e))))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_result) ).

fof(f9,axiom,
    positive_integer(k),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_positive) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : ROB016-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13  % 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 : n029.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   : Tue Aug 30 12:29:27 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.22/0.55  % (7558)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.55  % (7556)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.22/0.56  % (7564)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.22/0.56  % (7574)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.22/0.57  % (7558)Instruction limit reached!
% 0.22/0.57  % (7558)------------------------------
% 0.22/0.57  % (7558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.57  % (7566)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.57  % (7558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.57  % (7558)Termination reason: Unknown
% 0.22/0.57  % (7558)Termination phase: Saturation
% 0.22/0.57  
% 0.22/0.57  % (7558)Memory used [KB]: 5756
% 0.22/0.57  % (7558)Time elapsed: 0.134 s
% 0.22/0.57  % (7558)Instructions burned: 3 (million)
% 0.22/0.57  % (7558)------------------------------
% 0.22/0.57  % (7558)------------------------------
% 0.22/0.57  % (7572)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.22/0.57  % (7566)Instruction limit reached!
% 0.22/0.57  % (7566)------------------------------
% 0.22/0.57  % (7566)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.57  % (7566)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.57  % (7566)Termination reason: Unknown
% 0.22/0.57  % (7566)Termination phase: Saturation
% 0.22/0.57  
% 0.22/0.57  % (7566)Memory used [KB]: 5756
% 0.22/0.57  % (7566)Time elapsed: 0.136 s
% 0.22/0.57  % (7566)Instructions burned: 2 (million)
% 0.22/0.57  % (7566)------------------------------
% 0.22/0.57  % (7566)------------------------------
% 0.22/0.58  % (7572)First to succeed.
% 0.22/0.58  % (7572)Refutation found. Thanks to Tanya!
% 0.22/0.58  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.58  % (7572)------------------------------
% 0.22/0.58  % (7572)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.58  % (7572)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.58  % (7572)Termination reason: Refutation
% 0.22/0.58  
% 0.22/0.58  % (7572)Memory used [KB]: 5756
% 0.22/0.58  % (7572)Time elapsed: 0.146 s
% 0.22/0.58  % (7572)Instructions burned: 2 (million)
% 0.22/0.58  % (7572)------------------------------
% 0.22/0.58  % (7572)------------------------------
% 0.22/0.58  % (7549)Success in time 0.219 s
%------------------------------------------------------------------------------