TSTP Solution File: FLD060-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : FLD060-1 : 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_sat --cores 0 -t %d %s

% Computer : n018.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 16:06:57 EDT 2022

% Result   : Unsatisfiable 1.42s 0.57s
% Output   : Refutation 1.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   18 (   7 unt;   0 def)
%            Number of atoms       :   38 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   41 (  21   ~;  20   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 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   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f129,plain,
    $false,
    inference(subsumption_resolution,[],[f128,f31]) ).

fof(f31,axiom,
    ~ less_or_equal(add(a,a),add(b,b)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_4) ).

fof(f128,plain,
    less_or_equal(add(a,a),add(b,b)),
    inference(subsumption_resolution,[],[f126,f28]) ).

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

fof(f126,plain,
    ( ~ defined(a)
    | less_or_equal(add(a,a),add(b,b)) ),
    inference(resolution,[],[f114,f47]) ).

fof(f47,plain,
    ! [X0] :
      ( less_or_equal(add(a,X0),add(b,X0))
      | ~ defined(X0) ),
    inference(resolution,[],[f19,f30]) ).

fof(f30,axiom,
    less_or_equal(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_3) ).

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

fof(f114,plain,
    ! [X2] :
      ( ~ less_or_equal(X2,add(b,a))
      | less_or_equal(X2,add(b,b)) ),
    inference(resolution,[],[f79,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(f79,plain,
    less_or_equal(add(b,a),add(b,b)),
    inference(resolution,[],[f77,f29]) ).

fof(f29,axiom,
    defined(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).

fof(f77,plain,
    ! [X0] :
      ( ~ defined(X0)
      | less_or_equal(add(X0,a),add(b,X0)) ),
    inference(subsumption_resolution,[],[f76,f28]) ).

fof(f76,plain,
    ! [X0] :
      ( ~ defined(X0)
      | less_or_equal(add(X0,a),add(b,X0))
      | ~ defined(a) ),
    inference(duplicate_literal_removal,[],[f73]) ).

fof(f73,plain,
    ! [X0] :
      ( ~ defined(a)
      | ~ defined(X0)
      | less_or_equal(add(X0,a),add(b,X0))
      | ~ defined(X0) ),
    inference(resolution,[],[f46,f47]) ).

fof(f46,plain,
    ! [X2,X0,X1] :
      ( ~ less_or_equal(add(X1,X0),X2)
      | ~ defined(X1)
      | less_or_equal(add(X0,X1),X2)
      | ~ defined(X0) ),
    inference(resolution,[],[f4,f26]) ).

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

fof(f4,axiom,
    ! [X0,X1] :
      ( equalish(add(X0,X1),add(X1,X0))
      | ~ defined(X1)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_addition) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : FLD060-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.36  % Computer : n018.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon Aug 29 20:46:39 EDT 2022
% 0.15/0.36  % CPUTime    : 
% 1.24/0.52  % (32447)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.24/0.52  % (32449)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)
% 1.24/0.53  % (32462)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)
% 1.24/0.53  % (32454)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)
% 1.24/0.53  % (32456)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)
% 1.24/0.54  % (32444)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.42/0.54  % (32447)Instruction limit reached!
% 1.42/0.54  % (32447)------------------------------
% 1.42/0.54  % (32447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54  % (32447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54  % (32447)Termination reason: Unknown
% 1.42/0.54  % (32447)Termination phase: Saturation
% 1.42/0.54  
% 1.42/0.54  % (32447)Memory used [KB]: 5500
% 1.42/0.54  % (32447)Time elapsed: 0.116 s
% 1.42/0.54  % (32447)Instructions burned: 7 (million)
% 1.42/0.54  % (32447)------------------------------
% 1.42/0.54  % (32447)------------------------------
% 1.42/0.54  % (32455)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)
% 1.42/0.55  % (32464)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.42/0.55  % (32460)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.42/0.55  % (32452)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.42/0.55  % (32446)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)
% 1.42/0.55  TRYING [1]
% 1.42/0.56  TRYING [2]
% 1.42/0.56  TRYING [3]
% 1.42/0.56  % (32463)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)
% 1.42/0.56  % (32448)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.42/0.56  % (32448)Instruction limit reached!
% 1.42/0.56  % (32448)------------------------------
% 1.42/0.56  % (32448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56  % (32448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56  % (32448)Termination reason: Unknown
% 1.42/0.56  % (32448)Termination phase: Blocked clause elimination
% 1.42/0.56  
% 1.42/0.56  % (32448)Memory used [KB]: 895
% 1.42/0.56  % (32448)Time elapsed: 0.003 s
% 1.42/0.56  % (32448)Instructions burned: 2 (million)
% 1.42/0.56  % (32448)------------------------------
% 1.42/0.56  % (32448)------------------------------
% 1.42/0.56  % (32443)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.42/0.57  % (32463)First to succeed.
% 1.42/0.57  % (32457)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.42/0.57  % (32441)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)
% 1.42/0.57  % (32440)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.42/0.57  % (32441)Refutation not found, incomplete strategy% (32441)------------------------------
% 1.42/0.57  % (32441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.57  % (32441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.57  % (32441)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.57  
% 1.42/0.57  % (32441)Memory used [KB]: 5373
% 1.42/0.57  % (32441)Time elapsed: 0.148 s
% 1.42/0.57  % (32441)Instructions burned: 2 (million)
% 1.42/0.57  % (32441)------------------------------
% 1.42/0.57  % (32441)------------------------------
% 1.42/0.57  TRYING [1]
% 1.42/0.57  TRYING [2]
% 1.42/0.57  % (32463)Refutation found. Thanks to Tanya!
% 1.42/0.57  % SZS status Unsatisfiable for theBenchmark
% 1.42/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.42/0.57  % (32463)------------------------------
% 1.42/0.57  % (32463)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.57  % (32463)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.57  % (32463)Termination reason: Refutation
% 1.42/0.57  
% 1.42/0.57  % (32463)Memory used [KB]: 5500
% 1.42/0.57  % (32463)Time elapsed: 0.134 s
% 1.42/0.57  % (32463)Instructions burned: 6 (million)
% 1.42/0.57  % (32463)------------------------------
% 1.42/0.57  % (32463)------------------------------
% 1.42/0.57  % (32439)Success in time 0.201 s
%------------------------------------------------------------------------------