TSTP Solution File: SET024-3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET024-3 : 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 : n006.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 18:23:13 EDT 2022

% Result   : Unsatisfiable 0.21s 0.58s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   11 (   8 unt;   0 def)
%            Number of atoms       :   15 (   3 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   11 (   7   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f285,plain,
    $false,
    inference(subsumption_resolution,[],[f284,f200]) ).

fof(f200,plain,
    ~ member(a,sF0),
    inference(definition_folding,[],[f158,f199]) ).

fof(f199,plain,
    sF0 = non_ordered_pair(a,a),
    introduced(function_definition,[]) ).

fof(f158,plain,
    ~ member(a,non_ordered_pair(a,a)),
    inference(definition_unfolding,[],[f151,f9]) ).

fof(f9,axiom,
    ! [X0] : singleton_set(X0) = non_ordered_pair(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).

fof(f151,axiom,
    ~ member(a,singleton_set(a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_membership_of_singleton_set) ).

fof(f284,plain,
    member(a,sF0),
    inference(subsumption_resolution,[],[f283,f150]) ).

fof(f150,axiom,
    little_set(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_little_set) ).

fof(f283,plain,
    ( ~ little_set(a)
    | member(a,sF0) ),
    inference(superposition,[],[f191,f199]) ).

fof(f191,plain,
    ! [X2,X0] :
      ( member(X2,non_ordered_pair(X0,X2))
      | ~ little_set(X2) ),
    inference(equality_resolution,[],[f7]) ).

fof(f7,axiom,
    ! [X2,X0,X1] :
      ( ~ little_set(X2)
      | X1 != X2
      | member(X2,non_ordered_pair(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',non_ordered_pair3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET024-3 : TPTP v8.1.0. Released v1.0.0.
% 0.14/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n006.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 12:54:55 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.54  % (24455)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.54  % (24470)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)
% 0.21/0.54  % (24472)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.55  % (24476)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.55  % (24454)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)
% 0.21/0.55  % (24463)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)
% 0.21/0.55  % (24460)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.55  % (24456)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.55  % (24456)Instruction limit reached!
% 0.21/0.55  % (24456)------------------------------
% 0.21/0.55  % (24456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (24456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (24456)Termination reason: Unknown
% 0.21/0.55  % (24456)Termination phase: Function definition elimination
% 0.21/0.55  
% 0.21/0.55  % (24456)Memory used [KB]: 1023
% 0.21/0.55  % (24456)Time elapsed: 0.003 s
% 0.21/0.55  % (24456)Instructions burned: 2 (million)
% 0.21/0.55  % (24456)------------------------------
% 0.21/0.55  % (24456)------------------------------
% 0.21/0.55  % (24464)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)
% 0.21/0.56  % (24460)First to succeed.
% 0.21/0.56  % (24462)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)
% 0.21/0.56  % (24455)Instruction limit reached!
% 0.21/0.56  % (24455)------------------------------
% 0.21/0.56  % (24455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (24471)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)
% 0.21/0.56  % (24468)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)
% 0.21/0.57  % (24455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (24455)Termination reason: Unknown
% 0.21/0.57  % (24455)Termination phase: Saturation
% 0.21/0.57  
% 0.21/0.57  % (24455)Memory used [KB]: 5628
% 0.21/0.57  % (24455)Time elapsed: 0.127 s
% 0.21/0.57  % (24455)Instructions burned: 7 (million)
% 0.21/0.57  % (24455)------------------------------
% 0.21/0.57  % (24455)------------------------------
% 0.21/0.58  % (24460)Refutation found. Thanks to Tanya!
% 0.21/0.58  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.58  % (24460)------------------------------
% 0.21/0.58  % (24460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (24460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (24460)Termination reason: Refutation
% 0.21/0.58  
% 0.21/0.58  % (24460)Memory used [KB]: 5756
% 0.21/0.58  % (24460)Time elapsed: 0.138 s
% 0.21/0.58  % (24460)Instructions burned: 10 (million)
% 0.21/0.58  % (24460)------------------------------
% 0.21/0.58  % (24460)------------------------------
% 0.21/0.58  % (24447)Success in time 0.221 s
%------------------------------------------------------------------------------