TSTP Solution File: SET021-7 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET021-7 : 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 : n011.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 18:18:29 EDT 2022

% Result   : Unsatisfiable 2.03s 0.63s
% Output   : Refutation 2.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    8 (   5 unt;   0 def)
%            Number of atoms       :   12 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    9 (   5   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f196,plain,
    $false,
    inference(unit_resulting_resolution,[],[f164,f159,f165,f152]) ).

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

fof(f165,plain,
    ordered_pair(u,v) = ordered_pair(first(ordered_pair(u,v)),second(ordered_pair(u,v))),
    inference(unit_resulting_resolution,[],[f158,f17]) ).

fof(f17,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,cross_product(X0,X1))
      | ordered_pair(first(X4),second(X4)) = X4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product4) ).

fof(f158,axiom,
    member(ordered_pair(u,v),cross_product(universal_class,universal_class)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_unique_1st_and_2nd_in_pair_of_sets2_1) ).

fof(f159,axiom,
    v != second(ordered_pair(u,v)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_unique_1st_and_2nd_in_pair_of_sets2_2) ).

fof(f164,plain,
    member(v,universal_class),
    inference(unit_resulting_resolution,[],[f158,f15]) ).

fof(f15,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
      | member(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SET021-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.13  % 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 : n011.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
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 12:53:10 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.55  % (21133)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)
% 0.21/0.56  % (21125)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)
% 0.21/0.56  % (21129)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)
% 0.21/0.57  % (21133)Instruction limit reached!
% 0.21/0.57  % (21133)------------------------------
% 0.21/0.57  % (21133)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (21125)Instruction limit reached!
% 0.21/0.57  % (21125)------------------------------
% 0.21/0.57  % (21125)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (21133)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (21133)Termination reason: Unknown
% 0.21/0.57  % (21133)Termination phase: Property scanning
% 0.21/0.57  
% 0.21/0.57  % (21133)Memory used [KB]: 1407
% 0.21/0.57  % (21133)Time elapsed: 0.006 s
% 0.21/0.57  % (21133)Instructions burned: 6 (million)
% 0.21/0.57  % (21133)------------------------------
% 0.21/0.57  % (21133)------------------------------
% 0.21/0.57  % (21125)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (21125)Termination reason: Unknown
% 0.21/0.57  % (21125)Termination phase: Property scanning
% 0.21/0.57  
% 0.21/0.57  % (21125)Memory used [KB]: 1407
% 0.21/0.57  % (21125)Time elapsed: 0.007 s
% 0.21/0.57  % (21125)Instructions burned: 5 (million)
% 0.21/0.57  % (21125)------------------------------
% 0.21/0.57  % (21125)------------------------------
% 0.21/0.58  % (21141)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)
% 0.21/0.59  % (21123)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.59  % (21135)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)
% 0.21/0.59  % (21135)Instruction limit reached!
% 0.21/0.59  % (21135)------------------------------
% 0.21/0.59  % (21135)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59  % (21135)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59  % (21135)Termination reason: Unknown
% 0.21/0.59  % (21135)Termination phase: Property scanning
% 0.21/0.59  
% 0.21/0.59  % (21135)Memory used [KB]: 1407
% 0.21/0.59  % (21135)Time elapsed: 0.005 s
% 0.21/0.59  % (21135)Instructions burned: 6 (million)
% 0.21/0.59  % (21135)------------------------------
% 0.21/0.59  % (21135)------------------------------
% 0.21/0.59  % (21138)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)
% 0.21/0.60  % (21138)Instruction limit reached!
% 0.21/0.60  % (21138)------------------------------
% 0.21/0.60  % (21138)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.60  % (21137)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)
% 1.71/0.60  % (21138)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.60  % (21138)Termination reason: Unknown
% 1.71/0.60  % (21138)Termination phase: Finite model building preprocessing
% 1.71/0.60  
% 1.71/0.60  % (21138)Memory used [KB]: 1535
% 1.71/0.60  % (21138)Time elapsed: 0.005 s
% 1.71/0.60  % (21138)Instructions burned: 7 (million)
% 1.71/0.60  % (21138)------------------------------
% 1.71/0.60  % (21138)------------------------------
% 1.71/0.60  % (21130)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)
% 1.71/0.60  % (21149)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)
% 1.71/0.60  % (21128)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.71/0.60  % (21134)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)
% 1.71/0.60  % (21146)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)
% 1.71/0.61  % (21145)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)
% 1.71/0.61  % (21126)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)
% 2.03/0.62  % (21151)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)
% 2.03/0.62  % (21124)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)
% 2.03/0.62  % (21127)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)
% 2.03/0.62  % (21152)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)
% 2.03/0.62  % (21127)First to succeed.
% 2.03/0.63  % (21150)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)
% 2.03/0.63  % (21127)Refutation found. Thanks to Tanya!
% 2.03/0.63  % SZS status Unsatisfiable for theBenchmark
% 2.03/0.63  % SZS output start Proof for theBenchmark
% See solution above
% 2.03/0.63  % (21127)------------------------------
% 2.03/0.63  % (21127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.63  % (21127)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.63  % (21127)Termination reason: Refutation
% 2.03/0.63  
% 2.03/0.63  % (21127)Memory used [KB]: 6012
% 2.03/0.63  % (21127)Time elapsed: 0.203 s
% 2.03/0.63  % (21127)Instructions burned: 5 (million)
% 2.03/0.63  % (21127)------------------------------
% 2.03/0.63  % (21127)------------------------------
% 2.03/0.63  % (21122)Success in time 0.27 s
%------------------------------------------------------------------------------