TSTP Solution File: SET009-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET009-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n027.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 18:23:02 EDT 2022

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   22 (  11 unt;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   38 (  21   ~;  17   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f42,plain,
    $false,
    inference(subsumption_resolution,[],[f41,f26]) ).

fof(f26,plain,
    member(member_of_1_not_of_2(bDa,bDd),b),
    inference(resolution,[],[f24,f17]) ).

fof(f17,plain,
    member(member_of_1_not_of_2(bDa,bDd),bDa),
    inference(resolution,[],[f2,f16]) ).

fof(f16,axiom,
    ~ subset(bDa,bDd),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_bDa_is_a_subset_of_bDd) ).

fof(f2,axiom,
    ! [X2,X1] :
      ( subset(X1,X2)
      | member(member_of_1_not_of_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_axiom1) ).

fof(f24,plain,
    ! [X0] :
      ( ~ member(X0,bDa)
      | member(X0,b) ),
    inference(resolution,[],[f7,f14]) ).

fof(f14,axiom,
    difference(b,a,bDa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_minus_a) ).

fof(f7,axiom,
    ! [X3,X0,X4,X5] :
      ( ~ difference(X3,X4,X5)
      | ~ member(X0,X5)
      | member(X0,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_difference) ).

fof(f41,plain,
    ~ member(member_of_1_not_of_2(bDa,bDd),b),
    inference(subsumption_resolution,[],[f37,f30]) ).

fof(f30,plain,
    ~ member(member_of_1_not_of_2(bDa,bDd),d),
    inference(resolution,[],[f29,f19]) ).

fof(f19,plain,
    ! [X0] :
      ( member(X0,a)
      | ~ member(X0,d) ),
    inference(resolution,[],[f1,f13]) ).

fof(f13,axiom,
    subset(d,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_is_a_subset_of_a) ).

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

fof(f29,plain,
    ~ member(member_of_1_not_of_2(bDa,bDd),a),
    inference(resolution,[],[f27,f17]) ).

fof(f27,plain,
    ! [X0] :
      ( ~ member(X0,bDa)
      | ~ member(X0,a) ),
    inference(resolution,[],[f8,f14]) ).

fof(f8,axiom,
    ! [X3,X0,X6,X4] :
      ( ~ difference(X6,X3,X4)
      | ~ member(X0,X4)
      | ~ member(X0,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_member_of_difference) ).

fof(f37,plain,
    ( member(member_of_1_not_of_2(bDa,bDd),d)
    | ~ member(member_of_1_not_of_2(bDa,bDd),b) ),
    inference(resolution,[],[f33,f18]) ).

fof(f18,plain,
    ~ member(member_of_1_not_of_2(bDa,bDd),bDd),
    inference(resolution,[],[f3,f16]) ).

fof(f3,axiom,
    ! [X2,X1] :
      ( subset(X1,X2)
      | ~ member(member_of_1_not_of_2(X1,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_axiom2) ).

fof(f33,plain,
    ! [X1] :
      ( member(X1,bDd)
      | ~ member(X1,b)
      | member(X1,d) ),
    inference(resolution,[],[f9,f15]) ).

fof(f15,axiom,
    difference(b,d,bDd),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_minus_d) ).

fof(f9,axiom,
    ! [X3,X0,X4,X5] :
      ( ~ difference(X3,X4,X5)
      | member(X0,X4)
      | member(X0,X5)
      | ~ member(X0,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_difference_or_set2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET009-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n027.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 13:06:01 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.45  % (2169)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)
% 0.19/0.46  % (2161)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)
% 0.19/0.47  TRYING [1]
% 0.19/0.49  TRYING [2]
% 0.19/0.49  TRYING [3]
% 0.19/0.49  % (2168)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50  % (2160)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)
% 0.19/0.50  % (2171)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)
% 0.19/0.50  TRYING [4]
% 0.19/0.50  % (2184)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.50  % (2186)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)
% 0.19/0.51  % (2177)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)
% 0.19/0.51  % (2177)First to succeed.
% 0.19/0.51  % (2166)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)
% 0.19/0.51  % (2157)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)
% 0.19/0.52  % (2155)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)
% 0.19/0.52  TRYING [1]
% 0.19/0.52  TRYING [2]
% 0.19/0.52  TRYING [3]
% 0.19/0.52  % (2179)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52  % (2181)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)
% 0.19/0.53  % (2156)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)
% 0.19/0.53  % (2159)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (2156)Refutation not found, incomplete strategy% (2156)------------------------------
% 0.19/0.53  % (2156)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (2156)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (2156)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (2156)Memory used [KB]: 5373
% 0.19/0.53  % (2156)Time elapsed: 0.121 s
% 0.19/0.53  % (2156)------------------------------
% 0.19/0.53  % (2156)------------------------------
% 0.19/0.53  TRYING [5]
% 0.19/0.53  % (2158)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)
% 0.19/0.53  % (2166)Also succeeded, but the first one will report.
% 0.19/0.53  % (2163)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (2177)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (2177)------------------------------
% 0.19/0.53  % (2177)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (2177)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (2177)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (2177)Memory used [KB]: 895
% 0.19/0.53  % (2177)Time elapsed: 0.126 s
% 0.19/0.53  % (2177)Instructions burned: 2 (million)
% 0.19/0.53  % (2177)------------------------------
% 0.19/0.53  % (2177)------------------------------
% 0.19/0.53  % (2153)Success in time 0.181 s
%------------------------------------------------------------------------------