TSTP Solution File: FLD021-3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : FLD021-3 : 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_uns --cores 0 -t %d %s

% Computer : n004.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 16:05:30 EDT 2022

% Result   : Unsatisfiable 1.52s 0.61s
% Output   : Refutation 1.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   14 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   11 (   6   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 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(f221,plain,
    $false,
    inference(unit_resulting_resolution,[],[f30,f31,f98,f31,f1]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ sum(X3,X5,X1)
      | ~ sum(X0,X3,X4)
      | ~ sum(X4,X5,X2)
      | sum(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_addition_1) ).

fof(f98,plain,
    sum(m,additive_identity,additive_identity),
    inference(resolution,[],[f29,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(f29,axiom,
    sum(additive_identity,m,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_3) ).

fof(f31,plain,
    sum(additive_identity,a,a),
    inference(unit_resulting_resolution,[],[f27,f3]) ).

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

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

fof(f30,axiom,
    ~ sum(m,a,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : FLD021-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n004.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 29 20:33:50 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 1.52/0.56  % (19166)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)
% 1.52/0.56  % (19167)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)
% 1.52/0.56  % (19166)Refutation not found, incomplete strategy% (19166)------------------------------
% 1.52/0.56  % (19166)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.57  % (19183)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)
% 1.52/0.57  % (19166)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.57  % (19166)Termination reason: Refutation not found, incomplete strategy
% 1.52/0.57  
% 1.52/0.57  % (19166)Memory used [KB]: 5884
% 1.52/0.57  % (19166)Time elapsed: 0.134 s
% 1.52/0.57  % (19166)Instructions burned: 4 (million)
% 1.52/0.57  % (19166)------------------------------
% 1.52/0.57  % (19166)------------------------------
% 1.52/0.57  % (19175)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)
% 1.52/0.57  % (19174)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)
% 1.52/0.57  % (19167)Instruction limit reached!
% 1.52/0.57  % (19167)------------------------------
% 1.52/0.57  % (19167)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.57  % (19167)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.57  % (19167)Termination reason: Unknown
% 1.52/0.57  % (19167)Termination phase: Saturation
% 1.52/0.57  
% 1.52/0.57  % (19167)Memory used [KB]: 5884
% 1.52/0.57  % (19167)Time elapsed: 0.142 s
% 1.52/0.57  % (19167)Instructions burned: 3 (million)
% 1.52/0.57  % (19167)------------------------------
% 1.52/0.57  % (19167)------------------------------
% 1.52/0.57  % (19182)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)
% 1.52/0.58  % (19175)Instruction limit reached!
% 1.52/0.58  % (19175)------------------------------
% 1.52/0.58  % (19175)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.58  % (19175)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.58  % (19175)Termination reason: Unknown
% 1.52/0.58  % (19175)Termination phase: Saturation
% 1.52/0.58  
% 1.52/0.58  % (19175)Memory used [KB]: 5756
% 1.52/0.58  % (19175)Time elapsed: 0.003 s
% 1.52/0.58  % (19175)Instructions burned: 2 (million)
% 1.52/0.58  % (19175)------------------------------
% 1.52/0.58  % (19175)------------------------------
% 1.52/0.58  TRYING [1]
% 1.52/0.58  TRYING [2]
% 1.52/0.58  TRYING [3]
% 1.52/0.58  % (19174)Instruction limit reached!
% 1.52/0.58  % (19174)------------------------------
% 1.52/0.58  % (19174)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.58  % (19174)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.58  % (19174)Termination reason: Unknown
% 1.52/0.58  % (19174)Termination phase: Finite model building constraint generation
% 1.52/0.58  
% 1.52/0.58  % (19174)Memory used [KB]: 6140
% 1.52/0.58  % (19174)Time elapsed: 0.155 s
% 1.52/0.58  % (19174)Instructions burned: 8 (million)
% 1.52/0.58  % (19174)------------------------------
% 1.52/0.58  % (19174)------------------------------
% 1.52/0.58  % (19165)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)
% 1.52/0.59  % (19161)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)
% 1.52/0.59  % (19181)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)
% 1.52/0.60  % (19181)First to succeed.
% 1.52/0.60  % (19173)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)
% 1.52/0.60  % (19186)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)
% 1.52/0.60  % (19179)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.52/0.60  % (19186)Also succeeded, but the first one will report.
% 1.52/0.60  % (19176)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.52/0.60  % (19171)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)
% 1.52/0.61  % (19171)Instruction limit reached!
% 1.52/0.61  % (19171)------------------------------
% 1.52/0.61  % (19171)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.61  % (19171)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.61  % (19171)Termination reason: Unknown
% 1.52/0.61  % (19171)Termination phase: Saturation
% 1.52/0.61  
% 1.52/0.61  % (19171)Memory used [KB]: 5884
% 1.52/0.61  % (19171)Time elapsed: 0.183 s
% 1.52/0.61  % (19171)Instructions burned: 5 (million)
% 1.52/0.61  % (19171)------------------------------
% 1.52/0.61  % (19171)------------------------------
% 1.52/0.61  % (19184)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)
% 1.52/0.61  % (19162)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)
% 1.52/0.61  % (19185)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.52/0.61  % (19182)Refutation not found, non-redundant clauses discarded% (19182)------------------------------
% 1.52/0.61  % (19182)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.61  % (19182)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.61  % (19182)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.52/0.61  
% 1.52/0.61  % (19182)Memory used [KB]: 6396
% 1.52/0.61  % (19182)Time elapsed: 0.169 s
% 1.52/0.61  % (19182)Instructions burned: 36 (million)
% 1.52/0.61  % (19182)------------------------------
% 1.52/0.61  % (19182)------------------------------
% 1.52/0.61  % (19177)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.52/0.61  % (19181)Refutation found. Thanks to Tanya!
% 1.52/0.61  % SZS status Unsatisfiable for theBenchmark
% 1.52/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 1.52/0.61  % (19181)------------------------------
% 1.52/0.61  % (19181)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.61  % (19181)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.61  % (19181)Termination reason: Refutation
% 1.52/0.61  
% 1.52/0.61  % (19181)Memory used [KB]: 6012
% 1.52/0.61  % (19181)Time elapsed: 0.161 s
% 1.52/0.61  % (19181)Instructions burned: 7 (million)
% 1.52/0.61  % (19181)------------------------------
% 1.52/0.61  % (19181)------------------------------
% 1.52/0.61  % (19158)Success in time 0.245 s
%------------------------------------------------------------------------------