TSTP Solution File: FLD016-5 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : FLD016-5 : 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 : n028.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 16:05:28 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   17 (  13 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   18 (  10   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f85,plain,
    $false,
    inference(subsumption_resolution,[],[f81,f83]) ).

fof(f83,plain,
    ~ sum(additive_inverse(a),r,v),
    inference(unit_resulting_resolution,[],[f35,f56,f41,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ sum(X3,X5,X1)
      | ~ sum(X0,X1,X2)
      | ~ sum(X0,X3,X4)
      | sum(X4,X5,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_addition_2) ).

fof(f41,plain,
    sum(additive_inverse(a),a,additive_identity),
    inference(unit_resulting_resolution,[],[f27,f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( sum(additive_inverse(X0),X0,additive_identity)
      | ~ defined(X0) ),
    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) ).

fof(f56,plain,
    sum(a,u,r),
    inference(unit_resulting_resolution,[],[f32,f34,f42,f2]) ).

fof(f42,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(f34,axiom,
    sum(additive_identity,q,r),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_8) ).

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

fof(f35,axiom,
    ~ sum(additive_identity,u,v),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_9) ).

fof(f81,plain,
    sum(additive_inverse(a),r,v),
    inference(unit_resulting_resolution,[],[f33,f49,f41,f1]) ).

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

fof(f49,plain,
    sum(additive_identity,v,v),
    inference(unit_resulting_resolution,[],[f29,f3]) ).

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

fof(f33,axiom,
    sum(a,v,r),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : FLD016-5 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n028.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 20:44:17 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.47  % (5452)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)
% 0.19/0.48  % (5456)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)
% 0.19/0.48  % (5460)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)
% 0.19/0.48  % (5448)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)
% 0.19/0.48  % (5444)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)
% 0.19/0.49  % (5436)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)
% 0.19/0.49  % (5434)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.50  % (5440)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)
% 0.19/0.50  % (5445)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)
% 0.19/0.50  % (5451)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.50  % (5444)Instruction limit reached!
% 0.19/0.50  % (5444)------------------------------
% 0.19/0.50  % (5444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (5444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (5444)Termination reason: Unknown
% 0.19/0.50  % (5444)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (5444)Memory used [KB]: 5884
% 0.19/0.50  % (5444)Time elapsed: 0.125 s
% 0.19/0.50  % (5444)Instructions burned: 7 (million)
% 0.19/0.50  % (5444)------------------------------
% 0.19/0.50  % (5444)------------------------------
% 0.19/0.51  % (5449)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)
% 0.19/0.51  TRYING [1]
% 0.19/0.51  TRYING [2]
% 0.19/0.51  % (5436)Instruction limit reached!
% 0.19/0.51  % (5436)------------------------------
% 0.19/0.51  % (5436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (5449)Instruction limit reached!
% 0.19/0.51  % (5449)------------------------------
% 0.19/0.51  % (5449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (5449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (5449)Termination reason: Unknown
% 0.19/0.51  % (5449)Termination phase: Finite model building SAT solving
% 0.19/0.51  
% 0.19/0.51  % (5449)Memory used [KB]: 6012
% 0.19/0.51  % (5449)Time elapsed: 0.119 s
% 0.19/0.51  % (5449)Instructions burned: 7 (million)
% 0.19/0.51  % (5449)------------------------------
% 0.19/0.51  % (5449)------------------------------
% 0.19/0.51  % (5438)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)
% 0.19/0.51  % (5443)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)
% 0.19/0.51  % (5436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (5436)Termination reason: Unknown
% 0.19/0.51  % (5436)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (5436)Memory used [KB]: 5884
% 0.19/0.51  % (5436)Time elapsed: 0.112 s
% 0.19/0.51  % (5436)Instructions burned: 4 (million)
% 0.19/0.51  % (5436)------------------------------
% 0.19/0.51  % (5436)------------------------------
% 0.19/0.51  % (5438)First to succeed.
% 0.19/0.51  % (5459)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)
% 0.19/0.51  % (5438)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (5438)------------------------------
% 0.19/0.51  % (5438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (5438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (5438)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (5438)Memory used [KB]: 5884
% 0.19/0.51  % (5438)Time elapsed: 0.119 s
% 0.19/0.51  % (5438)Instructions burned: 6 (million)
% 0.19/0.51  % (5438)------------------------------
% 0.19/0.51  % (5438)------------------------------
% 0.19/0.51  % (5433)Success in time 0.177 s
%------------------------------------------------------------------------------