TSTP Solution File: NUM030-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM030-1 : 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 17:56:40 EDT 2022

% Result   : Unsatisfiable 0.19s 0.54s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   24 (  13 unt;   0 def)
%            Number of atoms       :   40 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   32 (  16   ~;  16   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   2 con; 0-2 aty)
%            Number of variables   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f344,plain,
    $false,
    inference(subsumption_resolution,[],[f342,f271]) ).

fof(f271,plain,
    ~ member(not_subclass_element(domain_of(flip(cross_product(x,universal_class))),x),x),
    inference(resolution,[],[f3,f202]) ).

fof(f202,plain,
    ~ subclass(domain_of(flip(cross_product(x,universal_class))),x),
    inference(definition_unfolding,[],[f160,f38]) ).

fof(f38,axiom,
    ! [X1] : domain_of(flip(cross_product(X1,universal_class))) = inverse(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).

fof(f160,axiom,
    ~ subclass(inverse(x),x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_symmetrization_property3_2) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | ~ member(not_subclass_element(X0,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).

fof(f342,plain,
    member(not_subclass_element(domain_of(flip(cross_product(x,universal_class))),x),x),
    inference(resolution,[],[f341,f270]) ).

fof(f270,plain,
    member(not_subclass_element(domain_of(flip(cross_product(x,universal_class))),x),domain_of(flip(cross_product(x,universal_class)))),
    inference(resolution,[],[f2,f202]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | member(not_subclass_element(X0,X1),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).

fof(f341,plain,
    ! [X0] :
      ( ~ member(X0,domain_of(flip(cross_product(x,universal_class))))
      | member(X0,x) ),
    inference(subsumption_resolution,[],[f339,f280]) ).

fof(f280,plain,
    ! [X0,X1] :
      ( ~ member(X0,X1)
      | member(X0,universal_class) ),
    inference(resolution,[],[f1,f4]) ).

fof(f4,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ subclass(X0,X1)
      | ~ member(X2,X0)
      | member(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).

fof(f339,plain,
    ! [X0] :
      ( ~ member(X0,domain_of(flip(cross_product(x,universal_class))))
      | ~ member(X0,universal_class)
      | member(X0,x) ),
    inference(resolution,[],[f336,f24]) ).

fof(f24,axiom,
    ! [X0,X4] :
      ( ~ member(X4,complement(X0))
      | ~ member(X4,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).

fof(f336,plain,
    ! [X1] :
      ( member(X1,complement(domain_of(flip(cross_product(x,universal_class)))))
      | member(X1,x)
      | ~ member(X1,universal_class) ),
    inference(resolution,[],[f334,f22]) ).

fof(f22,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,intersection(X0,X1))
      | member(X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).

fof(f334,plain,
    ! [X0] :
      ( member(X0,intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))
      | member(X0,x)
      | ~ member(X0,universal_class) ),
    inference(superposition,[],[f25,f216]) ).

fof(f216,plain,
    x = complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class)))))),
    inference(definition_unfolding,[],[f159,f174]) ).

fof(f174,plain,
    ! [X0] : symmetrization_of(X0) = complement(intersection(complement(X0),complement(domain_of(flip(cross_product(X0,universal_class)))))),
    inference(definition_unfolding,[],[f113,f26,f38]) ).

fof(f26,axiom,
    ! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).

fof(f113,axiom,
    ! [X0] : union(X0,inverse(X0)) = symmetrization_of(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetrization) ).

fof(f159,axiom,
    x = symmetrization_of(x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_symmetrization_property3_1) ).

fof(f25,axiom,
    ! [X0,X4] :
      ( member(X4,complement(X0))
      | ~ member(X4,universal_class)
      | member(X4,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : NUM030-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.14  % 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   : Tue Aug 30 05:49:05 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.19/0.49  % (22849)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)
% 0.19/0.49  % (22856)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)
% 0.19/0.50  % (22842)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  % (22840)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)
% 0.19/0.50  % (22855)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)
% 0.19/0.50  % (22843)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)
% 0.19/0.50  % (22839)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)
% 0.19/0.51  % (22843)Instruction limit reached!
% 0.19/0.51  % (22843)------------------------------
% 0.19/0.51  % (22843)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (22839)Instruction limit reached!
% 0.19/0.51  % (22839)------------------------------
% 0.19/0.51  % (22839)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (22839)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (22843)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (22839)Termination reason: Unknown
% 0.19/0.51  % (22843)Termination reason: Unknown
% 0.19/0.51  % (22839)Termination phase: Property scanning
% 0.19/0.51  % (22843)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  % (22843)Memory used [KB]: 6012
% 0.19/0.51  % (22843)Time elapsed: 0.005 s
% 0.19/0.51  % (22843)Instructions burned: 7 (million)
% 0.19/0.51  % (22843)------------------------------
% 0.19/0.51  % (22843)------------------------------
% 0.19/0.51  % (22847)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)
% 0.19/0.51  % (22845)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  % (22857)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)
% 0.19/0.51  % (22847)Instruction limit reached!
% 0.19/0.51  % (22847)------------------------------
% 0.19/0.51  % (22847)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (22847)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (22847)Termination reason: Unknown
% 0.19/0.51  % (22847)Termination phase: Property scanning
% 0.19/0.51  
% 0.19/0.51  % (22847)Memory used [KB]: 1535
% 0.19/0.51  % (22847)Time elapsed: 0.003 s
% 0.19/0.51  % (22847)Instructions burned: 4 (million)
% 0.19/0.51  % (22847)------------------------------
% 0.19/0.51  % (22847)------------------------------
% 0.19/0.51  % (22856)Refutation not found, incomplete strategy% (22856)------------------------------
% 0.19/0.51  % (22856)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (22837)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)
% 0.19/0.51  % (22859)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)
% 0.19/0.51  % (22833)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)
% 0.19/0.51  % (22837)First to succeed.
% 0.19/0.52  % (22831)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.52  % (22856)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (22856)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (22856)Memory used [KB]: 6140
% 0.19/0.52  % (22856)Time elapsed: 0.124 s
% 0.19/0.52  % (22856)Instructions burned: 6 (million)
% 0.19/0.52  % (22856)------------------------------
% 0.19/0.52  % (22856)------------------------------
% 0.19/0.52  % (22839)Memory used [KB]: 1535
% 0.19/0.52  % (22839)Time elapsed: 0.003 s
% 0.19/0.52  % (22839)Instructions burned: 5 (million)
% 0.19/0.52  % (22839)------------------------------
% 0.19/0.52  % (22839)------------------------------
% 0.19/0.53  % (22851)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)
% 0.19/0.53  % (22857)Refutation not found, incomplete strategy% (22857)------------------------------
% 0.19/0.53  % (22857)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (22850)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)
% 0.19/0.53  % (22854)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  % (22834)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  % (22860)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  % (22858)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)
% 0.19/0.54  % (22857)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (22857)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (22857)Memory used [KB]: 6396
% 0.19/0.54  % (22857)Time elapsed: 0.128 s
% 0.19/0.54  % (22857)Instructions burned: 16 (million)
% 0.19/0.54  % (22857)------------------------------
% 0.19/0.54  % (22857)------------------------------
% 0.19/0.54  % (22834)Refutation not found, incomplete strategy% (22834)------------------------------
% 0.19/0.54  % (22834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (22837)Refutation found. Thanks to Tanya!
% 0.19/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54  % (22837)------------------------------
% 0.19/0.54  % (22837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (22837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (22837)Termination reason: Refutation
% 0.19/0.54  
% 0.19/0.54  % (22837)Memory used [KB]: 1663
% 0.19/0.54  % (22837)Time elapsed: 0.132 s
% 0.19/0.54  % (22837)Instructions burned: 12 (million)
% 0.19/0.54  % (22837)------------------------------
% 0.19/0.54  % (22837)------------------------------
% 0.19/0.54  % (22830)Success in time 0.183 s
%------------------------------------------------------------------------------