TSTP Solution File: SET506-6 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET506-6 : 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 : n012.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 18:21:10 EDT 2022

% Result   : Unsatisfiable 0.19s 0.54s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   17 (   5 unt;   0 def)
%            Number of atoms       :   29 (   9 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   22 (  10   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 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   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f165,plain,
    $false,
    inference(unit_resulting_resolution,[],[f52,f161,f56]) ).

fof(f56,axiom,
    ! [X2] :
      ( member(power_class(X2),universal_class)
      | ~ member(X2,universal_class) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',power_class2) ).

fof(f161,plain,
    ! [X0] : ~ member(X0,universal_class),
    inference(subsumption_resolution,[],[f153,f150]) ).

fof(f150,plain,
    ! [X4,X5] :
      ( member(X5,X4)
      | ~ member(X5,universal_class) ),
    inference(superposition,[],[f22,f145]) ).

fof(f145,plain,
    ! [X0] : universal_class = intersection(complement(X0),X0),
    inference(duplicate_literal_removal,[],[f143]) ).

fof(f143,plain,
    ! [X0] :
      ( universal_class = intersection(complement(X0),X0)
      | universal_class = intersection(complement(X0),X0) ),
    inference(resolution,[],[f133,f130]) ).

fof(f130,plain,
    ! [X2,X3] :
      ( member(regular(intersection(X2,X3)),X3)
      | universal_class = intersection(X2,X3) ),
    inference(resolution,[],[f22,f121]) ).

fof(f121,plain,
    ! [X0] :
      ( member(regular(X0),X0)
      | universal_class = X0 ),
    inference(forward_demodulation,[],[f66,f113]) ).

fof(f113,axiom,
    universal_class = null_class,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_universal_class_not_null_class_1) ).

fof(f66,axiom,
    ! [X0] :
      ( null_class = X0
      | member(regular(X0),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).

fof(f133,plain,
    ! [X0,X1] :
      ( ~ member(regular(intersection(complement(X0),X1)),X0)
      | universal_class = intersection(complement(X0),X1) ),
    inference(resolution,[],[f126,f24]) ).

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

fof(f126,plain,
    ! [X2,X3] :
      ( member(regular(intersection(X2,X3)),X2)
      | universal_class = intersection(X2,X3) ),
    inference(resolution,[],[f21,f121]) ).

fof(f21,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,intersection(X0,X1))
      | member(X4,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).

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

fof(f153,plain,
    ! [X0,X1] :
      ( ~ member(X0,X1)
      | ~ member(X0,universal_class) ),
    inference(resolution,[],[f150,f24]) ).

fof(f52,axiom,
    member(omega,universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',omega_in_universal) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET506-6 : 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_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n012.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 13:56:20 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.51  % (11667)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)
% 0.19/0.52  % (11688)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)
% 0.19/0.52  % (11668)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  % (11680)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)
% 0.19/0.52  % (11672)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  % (11668)Instruction limit reached!
% 0.19/0.53  % (11668)------------------------------
% 0.19/0.53  % (11668)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (11668)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (11668)Termination reason: Unknown
% 0.19/0.53  % (11668)Termination phase: Equality proxy
% 0.19/0.53  
% 0.19/0.53  % (11668)Memory used [KB]: 1407
% 0.19/0.53  % (11668)Time elapsed: 0.005 s
% 0.19/0.53  % (11668)Instructions burned: 6 (million)
% 0.19/0.53  % (11668)------------------------------
% 0.19/0.53  % (11668)------------------------------
% 0.19/0.53  % (11692)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)
% 0.19/0.53  % (11695)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)
% 0.19/0.53  % (11671)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53  % (11687)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)
% 0.19/0.53  % (11693)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)
% 0.19/0.53  % (11693)Refutation not found, incomplete strategy% (11693)------------------------------
% 0.19/0.53  % (11693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (11693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (11693)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (11693)Memory used [KB]: 1407
% 0.19/0.53  % (11693)Time elapsed: 0.001 s
% 0.19/0.53  % (11693)------------------------------
% 0.19/0.53  % (11693)------------------------------
% 0.19/0.53  % (11694)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)
% 0.19/0.53  % (11680)First to succeed.
% 0.19/0.53  % (11670)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)
% 0.19/0.53  % (11691)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)
% 0.19/0.53  % (11669)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  % (11674)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)
% 0.19/0.53  % (11691)Refutation not found, incomplete strategy% (11691)------------------------------
% 0.19/0.53  % (11691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (11691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (11691)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (11691)Memory used [KB]: 5884
% 0.19/0.53  % (11691)Time elapsed: 0.002 s
% 0.19/0.53  % (11691)Instructions burned: 1 (million)
% 0.19/0.53  % (11691)------------------------------
% 0.19/0.53  % (11691)------------------------------
% 0.19/0.53  % (11670)Refutation not found, incomplete strategy% (11670)------------------------------
% 0.19/0.53  % (11670)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (11670)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (11670)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (11670)Memory used [KB]: 5884
% 0.19/0.53  % (11670)Time elapsed: 0.131 s
% 0.19/0.53  % (11670)Instructions burned: 3 (million)
% 0.19/0.53  % (11670)------------------------------
% 0.19/0.53  % (11670)------------------------------
% 0.19/0.53  % (11687)Refutation not found, incomplete strategy% (11687)------------------------------
% 0.19/0.53  % (11687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (11687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (11687)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (11687)Memory used [KB]: 5884
% 0.19/0.53  % (11687)Time elapsed: 0.006 s
% 0.19/0.53  % (11687)Instructions burned: 2 (million)
% 0.19/0.53  % (11687)------------------------------
% 0.19/0.53  % (11687)------------------------------
% 0.19/0.54  % (11674)Instruction limit reached!
% 0.19/0.54  % (11674)------------------------------
% 0.19/0.54  % (11674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (11674)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (11674)Termination reason: Unknown
% 0.19/0.54  % (11674)Termination phase: Property scanning
% 0.19/0.54  
% 0.19/0.54  % (11674)Memory used [KB]: 1407
% 0.19/0.54  % (11674)Time elapsed: 0.004 s
% 0.19/0.54  % (11674)Instructions burned: 5 (million)
% 0.19/0.54  % (11674)------------------------------
% 0.19/0.54  % (11674)------------------------------
% 0.19/0.54  % (11666)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  % (11680)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  % (11680)------------------------------
% 0.19/0.54  % (11680)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (11680)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (11680)Termination reason: Refutation
% 0.19/0.54  
% 0.19/0.54  % (11680)Memory used [KB]: 1535
% 0.19/0.54  % (11680)Time elapsed: 0.089 s
% 0.19/0.54  % (11680)Instructions burned: 10 (million)
% 0.19/0.54  % (11680)------------------------------
% 0.19/0.54  % (11680)------------------------------
% 0.19/0.54  % (11665)Success in time 0.186 s
%------------------------------------------------------------------------------