TSTP Solution File: FLD067-4 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : FLD067-4 : 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 : n009.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 16:06:01 EDT 2022

% Result   : Unsatisfiable 1.93s 0.60s
% Output   : Refutation 1.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   13 (   8 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   17 (   9   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f127,plain,
    $false,
    inference(subsumption_resolution,[],[f126,f32]) ).

fof(f32,axiom,
    ~ less_or_equal(additive_identity,u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_6) ).

fof(f126,plain,
    less_or_equal(additive_identity,u),
    inference(subsumption_resolution,[],[f121,f30]) ).

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

fof(f121,plain,
    ( ~ less_or_equal(a,b)
    | less_or_equal(additive_identity,u) ),
    inference(resolution,[],[f68,f59]) ).

fof(f59,plain,
    ! [X6,X7] :
      ( ~ sum(X6,additive_inverse(a),X7)
      | less_or_equal(X7,u)
      | ~ less_or_equal(X6,b) ),
    inference(resolution,[],[f31,f24]) ).

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

fof(f31,axiom,
    sum(b,additive_inverse(a),u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_5) ).

fof(f68,plain,
    sum(a,additive_inverse(a),additive_identity),
    inference(resolution,[],[f34,f5]) ).

fof(f5,axiom,
    ! [X3,X0,X5] :
      ( ~ sum(X0,X3,X5)
      | sum(X3,X0,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_addition) ).

fof(f34,plain,
    sum(additive_inverse(a),a,additive_identity),
    inference(resolution,[],[f27,f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ~ defined(X0)
      | sum(additive_inverse(X0),X0,additive_identity) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_addition) ).

fof(f27,axiom,
    defined(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : FLD067-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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
% 0.12/0.34  % Computer : n009.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 29 20:41:20 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.55  % (1918)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)
% 0.19/0.55  % (1919)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)
% 0.19/0.55  % (1934)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)
% 0.19/0.56  % (1927)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)
% 0.19/0.56  % (1926)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)
% 0.19/0.57  % (1935)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)
% 0.19/0.57  TRYING [1]
% 0.19/0.57  TRYING [2]
% 0.19/0.57  % (1927)Instruction limit reached!
% 0.19/0.57  % (1927)------------------------------
% 0.19/0.57  % (1927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (1927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (1927)Termination reason: Unknown
% 0.19/0.57  % (1927)Termination phase: Finite model building SAT solving
% 0.19/0.57  
% 0.19/0.57  % (1927)Memory used [KB]: 6012
% 0.19/0.57  % (1927)Time elapsed: 0.144 s
% 0.19/0.57  % (1927)Instructions burned: 6 (million)
% 0.19/0.57  % (1927)------------------------------
% 0.19/0.57  % (1927)------------------------------
% 1.79/0.59  % (1933)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 1.79/0.59  % (1931)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)
% 1.79/0.59  % (1937)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.79/0.59  % (1915)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)
% 1.79/0.59  % (1922)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)
% 1.79/0.59  % (1924)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)
% 1.79/0.59  % (1939)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.79/0.59  % (1922)Instruction limit reached!
% 1.79/0.59  % (1922)------------------------------
% 1.79/0.59  % (1922)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.59  % (1922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.59  % (1922)Termination reason: Unknown
% 1.79/0.59  % (1922)Termination phase: Saturation
% 1.79/0.59  
% 1.79/0.59  % (1922)Memory used [KB]: 6012
% 1.79/0.59  % (1922)Time elapsed: 0.184 s
% 1.79/0.59  % (1922)Instructions burned: 6 (million)
% 1.79/0.59  % (1922)------------------------------
% 1.79/0.59  % (1922)------------------------------
% 1.79/0.59  % (1924)Instruction limit reached!
% 1.79/0.59  % (1924)------------------------------
% 1.79/0.59  % (1924)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.59  % (1924)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.59  % (1924)Termination reason: Unknown
% 1.79/0.59  % (1924)Termination phase: Saturation
% 1.79/0.59  
% 1.79/0.59  % (1924)Memory used [KB]: 5884
% 1.79/0.59  % (1924)Time elapsed: 0.183 s
% 1.79/0.59  % (1924)Instructions burned: 5 (million)
% 1.79/0.59  % (1924)------------------------------
% 1.79/0.59  % (1924)------------------------------
% 1.79/0.59  % (1939)First to succeed.
% 1.79/0.59  % (1929)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.79/0.59  % (1912)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.79/0.60  % (1914)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)
% 1.79/0.60  % (1925)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)
% 1.79/0.60  % (1923)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)
% 1.79/0.60  % (1935)Instruction limit reached!
% 1.79/0.60  % (1935)------------------------------
% 1.79/0.60  % (1935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.60  % (1935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.60  % (1935)Termination reason: Unknown
% 1.79/0.60  % (1935)Termination phase: Saturation
% 1.79/0.60  
% 1.79/0.60  % (1935)Memory used [KB]: 6268
% 1.79/0.60  % (1935)Time elapsed: 0.151 s
% 1.79/0.60  % (1935)Instructions burned: 38 (million)
% 1.79/0.60  % (1935)------------------------------
% 1.79/0.60  % (1935)------------------------------
% 1.93/0.60  % (1941)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)
% 1.93/0.60  % (1939)Refutation found. Thanks to Tanya!
% 1.93/0.60  % SZS status Unsatisfiable for theBenchmark
% 1.93/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.93/0.60  % (1939)------------------------------
% 1.93/0.60  % (1939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.60  % (1939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.60  % (1939)Termination reason: Refutation
% 1.93/0.60  
% 1.93/0.60  % (1939)Memory used [KB]: 1407
% 1.93/0.60  % (1939)Time elapsed: 0.186 s
% 1.93/0.60  % (1939)Instructions burned: 4 (million)
% 1.93/0.60  % (1939)------------------------------
% 1.93/0.60  % (1939)------------------------------
% 1.93/0.60  % (1911)Success in time 0.247 s
%------------------------------------------------------------------------------