TSTP Solution File: SET060-7 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET060-7 : 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 : n009.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 18:23:25 EDT 2022

% Result   : Unsatisfiable 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   14 (   8 unt;   0 def)
%            Number of atoms       :   20 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   15 (   9   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f143,plain,
    $false,
    inference(subsumption_resolution,[],[f142,f133]) ).

fof(f133,plain,
    ~ member(y,x),
    inference(resolution,[],[f132,f112]) ).

fof(f112,plain,
    ! [X0] :
      ( ~ member(X0,sF0)
      | ~ member(X0,x) ),
    inference(superposition,[],[f24,f106]) ).

fof(f106,plain,
    complement(x) = sF0,
    introduced(function_definition,[]) ).

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

fof(f132,plain,
    member(y,sF0),
    inference(resolution,[],[f127,f108]) ).

fof(f108,plain,
    member(y,sF1),
    inference(definition_folding,[],[f102,f107,f106]) ).

fof(f107,plain,
    sF1 = intersection(sF0,x),
    introduced(function_definition,[]) ).

fof(f102,axiom,
    member(y,intersection(complement(x),x)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_special_classes_lemma_1) ).

fof(f127,plain,
    ! [X0] :
      ( ~ member(X0,sF1)
      | member(X0,sF0) ),
    inference(superposition,[],[f21,f107]) ).

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

fof(f142,plain,
    member(y,x),
    inference(resolution,[],[f137,f108]) ).

fof(f137,plain,
    ! [X0] :
      ( ~ member(X0,sF1)
      | member(X0,x) ),
    inference(superposition,[],[f22,f107]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SET060-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 13:11:35 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.47  % (9846)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.48  % (9838)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)
% 0.18/0.48  % (9846)Instruction limit reached!
% 0.18/0.48  % (9846)------------------------------
% 0.18/0.48  % (9846)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (9846)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (9846)Termination reason: Unknown
% 0.18/0.48  % (9846)Termination phase: Property scanning
% 0.18/0.48  
% 0.18/0.48  % (9846)Memory used [KB]: 1023
% 0.18/0.48  % (9846)Time elapsed: 0.004 s
% 0.18/0.48  % (9846)Instructions burned: 3 (million)
% 0.18/0.48  % (9846)------------------------------
% 0.18/0.48  % (9846)------------------------------
% 0.18/0.49  % (9845)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.49  % (9861)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)
% 0.18/0.50  % (9841)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)
% 0.18/0.50  % (9853)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)
% 0.18/0.50  % (9840)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)
% 0.18/0.50  % (9842)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50  % (9847)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)
% 0.18/0.50  % (9853)First to succeed.
% 0.18/0.51  % (9853)Refutation found. Thanks to Tanya!
% 0.18/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51  % (9853)------------------------------
% 0.18/0.51  % (9853)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (9853)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (9853)Termination reason: Refutation
% 0.18/0.51  
% 0.18/0.51  % (9853)Memory used [KB]: 1151
% 0.18/0.51  % (9853)Time elapsed: 0.120 s
% 0.18/0.51  % (9853)Instructions burned: 6 (million)
% 0.18/0.51  % (9853)------------------------------
% 0.18/0.51  % (9853)------------------------------
% 0.18/0.51  % (9837)Success in time 0.165 s
%------------------------------------------------------------------------------