TSTP Solution File: FLD059-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : FLD059-1 : 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 : n019.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 16:05:56 EDT 2022

% Result   : Unsatisfiable 0.16s 0.55s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   17 (  10   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f85,plain,
    $false,
    inference(subsumption_resolution,[],[f82,f47]) ).

fof(f47,plain,
    equalish(add(additive_identity,a),a),
    inference(unit_resulting_resolution,[],[f28,f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( equalish(add(additive_identity,X0),X0)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_addition) ).

fof(f28,axiom,
    defined(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).

fof(f82,plain,
    ~ equalish(add(additive_identity,a),a),
    inference(unit_resulting_resolution,[],[f34,f69,f26]) ).

fof(f26,axiom,
    ! [X2,X0,X1] :
      ( ~ less_or_equal(X0,X2)
      | less_or_equal(X1,X2)
      | ~ equalish(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_equality_and_order_relation) ).

fof(f69,plain,
    less_or_equal(add(additive_identity,a),add(a,a)),
    inference(unit_resulting_resolution,[],[f29,f28,f19]) ).

fof(f19,axiom,
    ! [X2,X0,X1] :
      ( less_or_equal(add(X0,X2),add(X1,X2))
      | ~ less_or_equal(X0,X1)
      | ~ defined(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).

fof(f29,axiom,
    less_or_equal(additive_identity,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_2) ).

fof(f34,plain,
    ~ less_or_equal(a,add(a,a)),
    inference(unit_resulting_resolution,[],[f29,f30,f17]) ).

fof(f17,axiom,
    ! [X2,X0,X1] :
      ( ~ less_or_equal(X1,X2)
      | less_or_equal(X0,X2)
      | ~ less_or_equal(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_order_relation) ).

fof(f30,axiom,
    ~ less_or_equal(additive_identity,add(a,a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : FLD059-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.00/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.33  % Computer : n019.cluster.edu
% 0.10/0.33  % Model    : x86_64 x86_64
% 0.10/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33  % Memory   : 8042.1875MB
% 0.10/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33  % CPULimit   : 300
% 0.10/0.33  % WCLimit    : 300
% 0.10/0.33  % DateTime   : Mon Aug 29 20:45:50 EDT 2022
% 0.10/0.33  % CPUTime    : 
% 0.16/0.47  % (8279)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)
% 0.16/0.49  % (8280)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.16/0.49  % (8272)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.49  % (8271)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)
% 0.16/0.50  % (8288)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.16/0.50  TRYING [1]
% 0.16/0.50  TRYING [2]
% 0.16/0.50  % (8287)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)
% 0.16/0.51  % (8280)Instruction limit reached!
% 0.16/0.51  % (8280)------------------------------
% 0.16/0.51  % (8280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51  % (8280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51  % (8280)Termination reason: Unknown
% 0.16/0.51  % (8280)Termination phase: Finite model building SAT solving
% 0.16/0.51  
% 0.16/0.51  % (8280)Memory used [KB]: 6012
% 0.16/0.51  % (8280)Time elapsed: 0.104 s
% 0.16/0.51  % (8280)Instructions burned: 7 (million)
% 0.16/0.51  % (8280)------------------------------
% 0.16/0.51  % (8280)------------------------------
% 0.16/0.52  % (8278)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)
% 0.16/0.52  % (8277)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.16/0.53  % (8267)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)
% 0.16/0.53  % (8267)Instruction limit reached!
% 0.16/0.53  % (8267)------------------------------
% 0.16/0.53  % (8267)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.53  % (8267)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.53  % (8267)Termination reason: Unknown
% 0.16/0.53  % (8267)Termination phase: Saturation
% 0.16/0.53  
% 0.16/0.53  % (8267)Memory used [KB]: 5884
% 0.16/0.53  % (8267)Time elapsed: 0.130 s
% 0.16/0.53  % (8267)Instructions burned: 4 (million)
% 0.16/0.53  % (8267)------------------------------
% 0.16/0.53  % (8267)------------------------------
% 0.16/0.53  % (8276)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.16/0.54  % (8265)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.16/0.54  % (8279)Instruction limit reached!
% 0.16/0.54  % (8279)------------------------------
% 0.16/0.54  % (8279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.54  % (8269)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.16/0.54  % (8270)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.16/0.54  % (8279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.54  % (8279)Termination reason: Unknown
% 0.16/0.54  % (8279)Termination phase: Saturation
% 0.16/0.54  
% 0.16/0.54  % (8279)Memory used [KB]: 1535
% 0.16/0.54  % (8279)Time elapsed: 0.134 s
% 0.16/0.54  % (8279)Instructions burned: 29 (million)
% 0.16/0.54  % (8279)------------------------------
% 0.16/0.54  % (8279)------------------------------
% 0.16/0.54  % (8268)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.16/0.54  % (8269)First to succeed.
% 0.16/0.55  % (8269)Refutation found. Thanks to Tanya!
% 0.16/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.55  % (8269)------------------------------
% 0.16/0.55  % (8269)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.55  % (8269)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.55  % (8269)Termination reason: Refutation
% 0.16/0.55  
% 0.16/0.55  % (8269)Memory used [KB]: 5884
% 0.16/0.55  % (8269)Time elapsed: 0.149 s
% 0.16/0.55  % (8269)Instructions burned: 3 (million)
% 0.16/0.55  % (8269)------------------------------
% 0.16/0.55  % (8269)------------------------------
% 0.16/0.55  % (8264)Success in time 0.209 s
%------------------------------------------------------------------------------