TSTP Solution File: FLD069-3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : FLD069-3 : 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_sat --cores 0 -t %d %s

% Computer : n021.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 16:07:02 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   15 (   9 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   23 (  13   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f684,plain,
    $false,
    inference(subsumption_resolution,[],[f683,f29]) ).

fof(f29,axiom,
    less_or_equal(additive_identity,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_3) ).

fof(f683,plain,
    ~ less_or_equal(additive_identity,a),
    inference(subsumption_resolution,[],[f681,f70]) ).

fof(f70,plain,
    ~ less_or_equal(b,additive_identity),
    inference(subsumption_resolution,[],[f60,f31]) ).

fof(f31,axiom,
    ~ sum(additive_identity,b,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_5) ).

fof(f60,plain,
    ( sum(additive_identity,b,additive_identity)
    | ~ less_or_equal(b,additive_identity) ),
    inference(resolution,[],[f21,f30]) ).

fof(f30,axiom,
    less_or_equal(additive_identity,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_4) ).

fof(f21,axiom,
    ! [X3,X0] :
      ( ~ less_or_equal(X3,X0)
      | sum(additive_identity,X0,X3)
      | ~ less_or_equal(X0,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_of_order_relation) ).

fof(f681,plain,
    ( less_or_equal(b,additive_identity)
    | ~ less_or_equal(additive_identity,a) ),
    inference(resolution,[],[f109,f44]) ).

fof(f44,plain,
    sum(additive_identity,b,b),
    inference(resolution,[],[f3,f28]) ).

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

fof(f3,axiom,
    ! [X0] :
      ( ~ defined(X0)
      | sum(additive_identity,X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_addition) ).

fof(f109,plain,
    ! [X10,X11] :
      ( ~ sum(X10,b,X11)
      | less_or_equal(X11,additive_identity)
      | ~ less_or_equal(X10,a) ),
    inference(resolution,[],[f24,f32]) ).

fof(f32,axiom,
    sum(a,b,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_6) ).

fof(f24,axiom,
    ! [X3,X0,X1,X4,X5] :
      ( ~ sum(X3,X5,X1)
      | ~ less_or_equal(X0,X3)
      | ~ sum(X0,X5,X4)
      | less_or_equal(X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : FLD069-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 20:41:40 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.49  % (22191)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.49  % (22180)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.49  % (22179)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  % (22190)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.50  % (22177)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51  % (22199)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.51  % (22183)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51  % (22197)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.51  % (22183)Instruction limit reached!
% 0.20/0.51  % (22183)------------------------------
% 0.20/0.51  % (22183)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (22183)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (22183)Termination reason: Unknown
% 0.20/0.51  % (22183)Termination phase: Blocked clause elimination
% 0.20/0.51  
% 0.20/0.51  % (22183)Memory used [KB]: 895
% 0.20/0.51  % (22183)Time elapsed: 0.003 s
% 0.20/0.51  % (22183)Instructions burned: 2 (million)
% 0.20/0.51  % (22183)------------------------------
% 0.20/0.51  % (22183)------------------------------
% 0.20/0.51  % (22198)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.51  % (22176)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52  % (22179)First to succeed.
% 0.20/0.52  % (22189)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.52  % (22184)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (22200)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53  % (22181)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (22179)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (22179)------------------------------
% 0.20/0.53  % (22179)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (22179)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (22179)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (22179)Memory used [KB]: 5756
% 0.20/0.53  % (22179)Time elapsed: 0.120 s
% 0.20/0.53  % (22179)Instructions burned: 14 (million)
% 0.20/0.53  % (22179)------------------------------
% 0.20/0.53  % (22179)------------------------------
% 0.20/0.53  % (22174)Success in time 0.184 s
%------------------------------------------------------------------------------