TSTP Solution File: SET018-7 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET018-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% 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 : n015.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 18:18:26 EDT 2022

% Result   : Unsatisfiable 0.19s 0.55s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    8 (   5 unt;   0 def)
%            Number of atoms       :   13 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   12 (   7   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f182,plain,
    $false,
    inference(subsumption_resolution,[],[f181,f169]) ).

fof(f169,axiom,
    member(x,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordered_pair_determines_components2_2) ).

fof(f181,plain,
    ~ member(x,universal_class),
    inference(subsumption_resolution,[],[f180,f170]) ).

fof(f170,axiom,
    x != z,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordered_pair_determines_components2_3) ).

fof(f180,plain,
    ( x = z
    | ~ member(x,universal_class) ),
    inference(equality_resolution,[],[f172]) ).

fof(f172,plain,
    ! [X2,X3] :
      ( ordered_pair(X2,X3) != ordered_pair(w,x)
      | ~ member(X3,universal_class)
      | z = X3 ),
    inference(superposition,[],[f152,f168]) ).

fof(f168,axiom,
    ordered_pair(w,x) = ordered_pair(y,z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordered_pair_determines_components2_1) ).

fof(f152,axiom,
    ! [X0,X1,X6,X4] :
      ( ordered_pair(X1,X4) != ordered_pair(X6,X0)
      | X0 = X4
      | ~ member(X0,universal_class) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair_determines_components2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET018-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 13:06:21 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.51  % (5951)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)
% 0.19/0.51  % (5966)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)
% 0.19/0.52  % (5947)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)
% 0.19/0.52  % (5958)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)
% 0.19/0.52  % (5948)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)
% 0.19/0.52  % (5939)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)
% 0.19/0.52  % (5946)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)
% 0.19/0.52  % (5939)Instruction limit reached!
% 0.19/0.52  % (5939)------------------------------
% 0.19/0.52  % (5939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (5939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (5939)Termination reason: Unknown
% 0.19/0.52  % (5939)Termination phase: Property scanning
% 0.19/0.52  
% 0.19/0.52  % (5939)Memory used [KB]: 1407
% 0.19/0.52  % (5939)Time elapsed: 0.003 s
% 0.19/0.52  % (5939)Instructions burned: 5 (million)
% 0.19/0.52  % (5939)------------------------------
% 0.19/0.52  % (5939)------------------------------
% 0.19/0.52  % (5943)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)
% 0.19/0.53  % (5963)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)
% 0.19/0.53  % (5938)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)
% 0.19/0.53  % (5958)Instruction limit reached!
% 0.19/0.53  % (5958)------------------------------
% 0.19/0.53  % (5958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (5966)First to succeed.
% 0.19/0.53  % (5958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (5958)Termination reason: Unknown
% 0.19/0.53  % (5958)Termination phase: Property scanning
% 0.19/0.53  
% 0.19/0.53  % (5958)Memory used [KB]: 1535
% 0.19/0.53  % (5958)Time elapsed: 0.005 s
% 0.19/0.53  % (5958)Instructions burned: 6 (million)
% 0.19/0.53  % (5958)------------------------------
% 0.19/0.53  % (5958)------------------------------
% 0.19/0.53  % (5962)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)
% 0.19/0.53  % (5952)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)
% 0.19/0.53  % (5940)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)
% 0.19/0.53  % (5954)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)
% 0.19/0.53  % (5954)Instruction limit reached!
% 0.19/0.53  % (5954)------------------------------
% 0.19/0.53  % (5954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (5954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (5954)Termination reason: Unknown
% 0.19/0.53  % (5954)Termination phase: Function definition elimination
% 0.19/0.53  
% 0.19/0.53  % (5954)Memory used [KB]: 1407
% 0.19/0.53  % (5954)Time elapsed: 0.003 s
% 0.19/0.53  % (5954)Instructions burned: 2 (million)
% 0.19/0.53  % (5954)------------------------------
% 0.19/0.53  % (5954)------------------------------
% 0.19/0.53  % (5940)Also succeeded, but the first one will report.
% 0.19/0.54  % (5945)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)
% 0.19/0.54  % (5949)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)
% 0.19/0.54  % (5945)Instruction limit reached!
% 0.19/0.54  % (5945)------------------------------
% 0.19/0.54  % (5945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (5945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (5945)Termination reason: Unknown
% 0.19/0.54  % (5945)Termination phase: Property scanning
% 0.19/0.54  
% 0.19/0.54  % (5945)Memory used [KB]: 1407
% 0.19/0.54  % (5945)Time elapsed: 0.003 s
% 0.19/0.54  % (5945)Instructions burned: 5 (million)
% 0.19/0.54  % (5945)------------------------------
% 0.19/0.54  % (5945)------------------------------
% 0.19/0.54  % (5944)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)
% 0.19/0.54  % (5942)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.54  % (5952)Instruction limit reached!
% 0.19/0.54  % (5952)------------------------------
% 0.19/0.54  % (5952)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (5952)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (5952)Termination reason: Unknown
% 0.19/0.54  % (5952)Termination phase: Finite model building preprocessing
% 0.19/0.54  
% 0.19/0.54  % (5952)Memory used [KB]: 1535
% 0.19/0.54  % (5952)Time elapsed: 0.007 s
% 0.19/0.54  % (5952)Instructions burned: 6 (million)
% 0.19/0.54  % (5952)------------------------------
% 0.19/0.54  % (5952)------------------------------
% 0.19/0.54  % (5964)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)
% 0.19/0.54  % (5950)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)
% 0.19/0.54  % (5950)Instruction limit reached!
% 0.19/0.54  % (5950)------------------------------
% 0.19/0.54  % (5950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (5950)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (5950)Termination reason: Unknown
% 0.19/0.54  % (5950)Termination phase: Function definition elimination
% 0.19/0.54  
% 0.19/0.54  % (5950)Memory used [KB]: 1407
% 0.19/0.54  % (5950)Time elapsed: 0.003 s
% 0.19/0.54  % (5950)Instructions burned: 3 (million)
% 0.19/0.54  % (5950)------------------------------
% 0.19/0.54  % (5950)------------------------------
% 0.19/0.54  % (5968)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)
% 0.19/0.54  % (5947)Instruction limit reached!
% 0.19/0.54  % (5947)------------------------------
% 0.19/0.54  % (5947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (5947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (5947)Termination reason: Unknown
% 0.19/0.54  % (5947)Termination phase: Property scanning
% 0.19/0.54  
% 0.19/0.54  % (5947)Memory used [KB]: 1535
% 0.19/0.54  % (5947)Time elapsed: 0.006 s
% 0.19/0.54  % (5947)Instructions burned: 9 (million)
% 0.19/0.54  % (5947)------------------------------
% 0.19/0.54  % (5947)------------------------------
% 0.19/0.54  % (5941)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)
% 0.19/0.54  % (5936)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.54  % (5965)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)
% 0.19/0.54  % (5961)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)
% 0.19/0.54  % (5957)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)
% 0.19/0.54  % (5956)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)
% 0.19/0.54  % (5959)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)
% 0.19/0.55  % (5955)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.55  % (5966)Refutation found. Thanks to Tanya!
% 0.19/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55  % (5966)------------------------------
% 0.19/0.55  % (5966)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (5966)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (5966)Termination reason: Refutation
% 0.19/0.55  
% 0.19/0.55  % (5966)Memory used [KB]: 1407
% 0.19/0.55  % (5966)Time elapsed: 0.120 s
% 0.19/0.55  % (5966)Instructions burned: 2 (million)
% 0.19/0.55  % (5966)------------------------------
% 0.19/0.55  % (5966)------------------------------
% 0.19/0.55  % (5925)Success in time 0.194 s
%------------------------------------------------------------------------------