TSTP Solution File: FLD020-3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : FLD020-3 : 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 : n026.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 0.20s 0.56s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   13 (   6 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   24 (  13   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f285,plain,
    $false,
    inference(subsumption_resolution,[],[f284,f27]) ).

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

fof(f284,plain,
    ~ defined(a),
    inference(subsumption_resolution,[],[f280,f30]) ).

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

fof(f280,plain,
    ( sum(additive_identity,m,additive_identity)
    | ~ defined(a) ),
    inference(resolution,[],[f216,f4]) ).

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

fof(f216,plain,
    ! [X7] :
      ( ~ sum(additive_inverse(a),a,X7)
      | sum(additive_identity,m,X7) ),
    inference(subsumption_resolution,[],[f213,f27]) ).

fof(f213,plain,
    ! [X7] :
      ( ~ sum(additive_inverse(a),a,X7)
      | ~ defined(a)
      | sum(additive_identity,m,X7) ),
    inference(resolution,[],[f41,f4]) ).

fof(f41,plain,
    ! [X6,X7,X5] :
      ( ~ sum(X5,a,X7)
      | ~ sum(X5,a,X6)
      | sum(X7,m,X6) ),
    inference(resolution,[],[f33,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ sum(X3,X5,X1)
      | ~ sum(X0,X1,X2)
      | sum(X4,X5,X2)
      | ~ sum(X0,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition_2) ).

fof(f33,plain,
    sum(a,m,a),
    inference(resolution,[],[f29,f5]) ).

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

fof(f29,axiom,
    sum(m,a,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : FLD020-3 : 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 : n026.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 20:51:35 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.51  % (28134)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)
% 0.20/0.51  % (28147)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)
% 0.20/0.51  % (28138)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)
% 0.20/0.51  % (28145)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)
% 0.20/0.52  TRYING [1]
% 0.20/0.52  TRYING [2]
% 0.20/0.52  % (28126)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)
% 0.20/0.52  % (28133)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)
% 0.20/0.52  % (28130)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)
% 0.20/0.52  % (28138)Instruction limit reached!
% 0.20/0.52  % (28138)------------------------------
% 0.20/0.52  % (28138)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (28138)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (28138)Termination reason: Unknown
% 0.20/0.52  % (28138)Termination phase: Finite model building constraint generation
% 0.20/0.52  
% 0.20/0.52  % (28138)Memory used [KB]: 6012
% 0.20/0.52  % (28138)Time elapsed: 0.063 s
% 0.20/0.52  % (28138)Instructions burned: 7 (million)
% 0.20/0.52  % (28138)------------------------------
% 0.20/0.52  % (28138)------------------------------
% 0.20/0.52  % (28130)Refutation not found, incomplete strategy% (28130)------------------------------
% 0.20/0.52  % (28130)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (28130)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (28130)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (28130)Memory used [KB]: 5884
% 0.20/0.52  % (28130)Time elapsed: 0.074 s
% 0.20/0.52  % (28130)Instructions burned: 3 (million)
% 0.20/0.52  % (28130)------------------------------
% 0.20/0.52  % (28130)------------------------------
% 0.20/0.53  % (28125)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)
% 0.20/0.54  % (28123)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.54  % (28125)Instruction limit reached!
% 0.20/0.54  % (28125)------------------------------
% 0.20/0.54  % (28125)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (28125)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (28125)Termination reason: Unknown
% 0.20/0.54  % (28125)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (28125)Memory used [KB]: 5884
% 0.20/0.54  % (28125)Time elapsed: 0.128 s
% 0.20/0.54  % (28125)Instructions burned: 5 (million)
% 0.20/0.54  % (28125)------------------------------
% 0.20/0.54  % (28125)------------------------------
% 0.20/0.54  % (28133)Instruction limit reached!
% 0.20/0.54  % (28133)------------------------------
% 0.20/0.54  % (28133)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (28133)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (28133)Termination reason: Unknown
% 0.20/0.54  % (28133)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (28133)Memory used [KB]: 6012
% 0.20/0.54  % (28133)Time elapsed: 0.128 s
% 0.20/0.54  % (28133)Instructions burned: 6 (million)
% 0.20/0.54  % (28133)------------------------------
% 0.20/0.54  % (28133)------------------------------
% 0.20/0.54  % (28152)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.54  % (28150)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)
% 0.20/0.54  % (28127)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)
% 0.20/0.54  % (28132)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (28129)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)
% 0.20/0.54  % (28153)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)
% 0.20/0.54  % (28141)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)
% 0.20/0.54  % (28140)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.55  % (28132)First to succeed.
% 0.20/0.55  % (28124)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.55  % (28149)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)
% 0.20/0.55  % (28144)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)
% 0.20/0.55  % (28143)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)
% 0.20/0.55  % (28147)Refutation not found, non-redundant clauses discarded% (28147)------------------------------
% 0.20/0.55  % (28147)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (28147)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (28147)Termination reason: Refutation not found, non-redundant clauses discarded
% 0.20/0.55  
% 0.20/0.55  % (28147)Memory used [KB]: 6268
% 0.20/0.55  % (28131)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)
% 0.20/0.55  % (28147)Time elapsed: 0.086 s
% 0.20/0.55  % (28147)Instructions burned: 36 (million)
% 0.20/0.55  % (28147)------------------------------
% 0.20/0.55  % (28147)------------------------------
% 0.20/0.55  % (28135)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)
% 0.20/0.55  % (28131)Instruction limit reached!
% 0.20/0.55  % (28131)------------------------------
% 0.20/0.55  % (28131)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (28131)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (28131)Termination reason: Unknown
% 0.20/0.55  % (28131)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (28131)Memory used [KB]: 5884
% 0.20/0.55  % (28131)Time elapsed: 0.151 s
% 0.20/0.55  % (28131)Instructions burned: 5 (million)
% 0.20/0.55  % (28131)------------------------------
% 0.20/0.55  % (28131)------------------------------
% 0.20/0.55  % (28137)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)
% 0.20/0.55  % (28134)Instruction limit reached!
% 0.20/0.55  % (28134)------------------------------
% 0.20/0.55  % (28134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (28135)Instruction limit reached!
% 0.20/0.55  % (28135)------------------------------
% 0.20/0.55  % (28135)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (28135)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (28135)Termination reason: Unknown
% 0.20/0.55  % (28135)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (28135)Memory used [KB]: 5884
% 0.20/0.55  % (28135)Time elapsed: 0.150 s
% 0.20/0.55  % (28135)Instructions burned: 6 (million)
% 0.20/0.55  % (28135)------------------------------
% 0.20/0.55  % (28135)------------------------------
% 0.20/0.55  % (28134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (28134)Termination reason: Unknown
% 0.20/0.55  % (28134)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (28134)Memory used [KB]: 6012
% 0.20/0.55  % (28134)Time elapsed: 0.127 s
% 0.20/0.55  % (28134)Instructions burned: 24 (million)
% 0.20/0.55  % (28134)------------------------------
% 0.20/0.55  % (28134)------------------------------
% 0.20/0.56  % (28149)Refutation not found, incomplete strategy% (28149)------------------------------
% 0.20/0.56  % (28149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (28149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (28149)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56  
% 0.20/0.56  % (28149)Memory used [KB]: 5884
% 0.20/0.56  % (28149)Time elapsed: 0.152 s
% 0.20/0.56  % (28149)Instructions burned: 5 (million)
% 0.20/0.56  % (28149)------------------------------
% 0.20/0.56  % (28149)------------------------------
% 0.20/0.56  % (28139)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)
% 0.20/0.56  % (28139)Instruction limit reached!
% 0.20/0.56  % (28139)------------------------------
% 0.20/0.56  % (28139)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (28139)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (28139)Termination reason: Unknown
% 0.20/0.56  % (28139)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (28139)Memory used [KB]: 5884
% 0.20/0.56  % (28139)Time elapsed: 0.151 s
% 0.20/0.56  % (28139)Instructions burned: 3 (million)
% 0.20/0.56  % (28139)------------------------------
% 0.20/0.56  % (28139)------------------------------
% 0.20/0.56  % (28132)Refutation found. Thanks to Tanya!
% 0.20/0.56  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56  % (28132)------------------------------
% 0.20/0.56  % (28132)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (28132)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (28132)Termination reason: Refutation
% 0.20/0.56  
% 0.20/0.56  % (28132)Memory used [KB]: 6012
% 0.20/0.56  % (28132)Time elapsed: 0.139 s
% 0.20/0.56  % (28132)Instructions burned: 10 (million)
% 0.20/0.56  % (28132)------------------------------
% 0.20/0.56  % (28132)------------------------------
% 0.20/0.56  % (28119)Success in time 0.194 s
%------------------------------------------------------------------------------