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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --cores 0 -t %d %s

% Computer : n013.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 18:03:19 EDT 2022

% Result   : Unsatisfiable 1.73s 0.58s
% Output   : Refutation 1.73s
% 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(f365,plain,
    $false,
    inference(subsumption_resolution,[],[f363,f271]) ).

fof(f271,plain,
    ~ member(not_subclass_element(domain_of(flip(cross_product(x,universal_class))),x),x),
    inference(resolution,[],[f3,f187]) ).

fof(f187,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(f363,plain,
    member(not_subclass_element(domain_of(flip(cross_product(x,universal_class))),x),x),
    inference(resolution,[],[f362,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,f187]) ).

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(f362,plain,
    ! [X0] :
      ( ~ member(X0,domain_of(flip(cross_product(x,universal_class))))
      | member(X0,x) ),
    inference(subsumption_resolution,[],[f360,f292]) ).

fof(f292,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,X1)
      | ~ member(X2,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).

fof(f360,plain,
    ! [X0] :
      ( member(X0,x)
      | ~ member(X0,universal_class)
      | ~ member(X0,domain_of(flip(cross_product(x,universal_class)))) ),
    inference(resolution,[],[f357,f24]) ).

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

fof(f357,plain,
    ! [X1] :
      ( member(X1,complement(domain_of(flip(cross_product(x,universal_class)))))
      | ~ member(X1,universal_class)
      | member(X1,x) ),
    inference(resolution,[],[f355,f22]) ).

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

fof(f355,plain,
    ! [X0] :
      ( member(X0,intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))
      | ~ member(X0,universal_class)
      | member(X0,x) ),
    inference(superposition,[],[f25,f213]) ).

fof(f213,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,X0)
      | ~ member(X4,universal_class) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : NUM030-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n013.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 05:48:17 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (3314)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.50  % (3324)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51  % (3315)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (3317)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (3333)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51  % (3312)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.51  % (3338)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.51  % (3330)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.51  % (3321)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52  % (3343)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52  % (3327)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52  % (3331)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (3320)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53  % (3319)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (3334)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  % (3318)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.53  % (3332)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53  % (3314)Instruction limit reached!
% 0.19/0.53  % (3314)------------------------------
% 0.19/0.53  % (3314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (3340)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54  % (3339)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54  % (3321)Instruction limit reached!
% 0.19/0.54  % (3321)------------------------------
% 0.19/0.54  % (3321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (3321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (3321)Termination reason: Unknown
% 0.19/0.54  % (3321)Termination phase: Equality resolution with deletion
% 0.19/0.54  
% 0.19/0.54  % (3321)Memory used [KB]: 1023
% 0.19/0.54  % (3321)Time elapsed: 0.004 s
% 0.19/0.54  % (3321)Instructions burned: 3 (million)
% 0.19/0.54  % (3321)------------------------------
% 0.19/0.54  % (3321)------------------------------
% 0.19/0.54  % (3335)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.54  % (3323)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54  % (3320)Instruction limit reached!
% 0.19/0.54  % (3320)------------------------------
% 0.19/0.54  % (3320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (3320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (3320)Termination reason: Unknown
% 0.19/0.54  % (3320)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (3320)Memory used [KB]: 5628
% 0.19/0.54  % (3320)Time elapsed: 0.004 s
% 0.19/0.54  % (3320)Instructions burned: 7 (million)
% 0.19/0.54  % (3320)------------------------------
% 0.19/0.54  % (3320)------------------------------
% 0.19/0.54  % (3342)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.54  % (3337)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.54  % (3336)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54  % (3326)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54  % (3313)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.55  % (3329)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.55  % (3328)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55  % (3341)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.55  % (3314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (3314)Termination reason: Unknown
% 0.19/0.55  % (3314)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (3314)Memory used [KB]: 1918
% 0.19/0.55  % (3314)Time elapsed: 0.140 s
% 0.19/0.55  % (3314)Instructions burned: 38 (million)
% 0.19/0.55  % (3314)------------------------------
% 0.19/0.55  % (3314)------------------------------
% 0.19/0.55  % (3344)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.56  % (3337)First to succeed.
% 0.19/0.57  % (3317)Instruction limit reached!
% 0.19/0.57  % (3317)------------------------------
% 0.19/0.57  % (3317)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (3324)Instruction limit reached!
% 0.19/0.57  % (3324)------------------------------
% 0.19/0.57  % (3324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (3324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (3324)Termination reason: Unknown
% 0.19/0.57  % (3324)Termination phase: Saturation
% 0.19/0.57  
% 0.19/0.57  % (3324)Memory used [KB]: 6524
% 0.19/0.57  % (3324)Time elapsed: 0.186 s
% 0.19/0.57  % (3324)Instructions burned: 51 (million)
% 0.19/0.57  % (3324)------------------------------
% 0.19/0.57  % (3324)------------------------------
% 1.73/0.58  % (3337)Refutation found. Thanks to Tanya!
% 1.73/0.58  % SZS status Unsatisfiable for theBenchmark
% 1.73/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.73/0.58  % (3337)------------------------------
% 1.73/0.58  % (3337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.58  % (3337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.58  % (3337)Termination reason: Refutation
% 1.73/0.58  
% 1.73/0.58  % (3337)Memory used [KB]: 1279
% 1.73/0.58  % (3337)Time elapsed: 0.157 s
% 1.73/0.58  % (3337)Instructions burned: 15 (million)
% 1.73/0.58  % (3337)------------------------------
% 1.73/0.58  % (3337)------------------------------
% 1.73/0.58  % (3307)Success in time 0.227 s
%------------------------------------------------------------------------------