TSTP Solution File: SET148-6 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET148-6 : 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_sat --cores 0 -t %d %s

% Computer : n016.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 18:23:58 EDT 2022

% Result   : Unsatisfiable 1.44s 0.55s
% Output   : Refutation 1.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   20 (   7 unt;   0 def)
%            Number of atoms       :   36 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   31 (  15   ~;  16   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 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   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f353,plain,
    $false,
    inference(subsumption_resolution,[],[f352,f190]) ).

fof(f190,plain,
    ~ subclass(x,sF0),
    inference(subsumption_resolution,[],[f189,f119]) ).

fof(f119,plain,
    x != sF0,
    inference(definition_folding,[],[f113,f118]) ).

fof(f118,plain,
    intersection(x,x) = sF0,
    introduced(function_definition,[]) ).

fof(f113,axiom,
    x != intersection(x,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_idempotency_of_intersection_1) ).

fof(f189,plain,
    ( ~ subclass(x,sF0)
    | x = sF0 ),
    inference(resolution,[],[f7,f157]) ).

fof(f157,plain,
    subclass(sF0,x),
    inference(duplicate_literal_removal,[],[f156]) ).

fof(f156,plain,
    ( subclass(sF0,x)
    | subclass(sF0,x) ),
    inference(resolution,[],[f137,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X1)
      | subclass(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).

fof(f137,plain,
    ! [X0] :
      ( member(not_subclass_element(sF0,X0),x)
      | subclass(sF0,X0) ),
    inference(resolution,[],[f133,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,X1),X0)
      | subclass(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).

fof(f133,plain,
    ! [X0] :
      ( ~ member(X0,sF0)
      | member(X0,x) ),
    inference(superposition,[],[f21,f118]) ).

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

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ subclass(X0,X1)
      | ~ subclass(X1,X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).

fof(f352,plain,
    subclass(x,sF0),
    inference(duplicate_literal_removal,[],[f350]) ).

fof(f350,plain,
    ( subclass(x,sF0)
    | subclass(x,sF0) ),
    inference(resolution,[],[f325,f2]) ).

fof(f325,plain,
    ! [X3] :
      ( ~ member(not_subclass_element(X3,sF0),x)
      | subclass(X3,sF0) ),
    inference(resolution,[],[f322,f3]) ).

fof(f322,plain,
    ! [X12] :
      ( member(X12,sF0)
      | ~ member(X12,x) ),
    inference(duplicate_literal_removal,[],[f321]) ).

fof(f321,plain,
    ! [X12] :
      ( ~ member(X12,x)
      | member(X12,sF0)
      | ~ member(X12,x) ),
    inference(superposition,[],[f23,f118]) ).

fof(f23,axiom,
    ! [X0,X1,X4] :
      ( member(X4,intersection(X0,X1))
      | ~ member(X4,X1)
      | ~ member(X4,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET148-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n016.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 13:45:46 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.50  % (32028)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  % (32034)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50  % (32049)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)
% 0.19/0.50  % (32030)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (32034)Instruction limit reached!
% 0.19/0.50  % (32034)------------------------------
% 0.19/0.50  % (32034)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (32034)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (32034)Termination reason: Unknown
% 0.19/0.50  % (32034)Termination phase: Function definition elimination
% 0.19/0.50  
% 0.19/0.50  % (32034)Memory used [KB]: 1023
% 0.19/0.50  % (32034)Time elapsed: 0.003 s
% 0.19/0.50  % (32034)Instructions burned: 3 (million)
% 0.19/0.50  % (32034)------------------------------
% 0.19/0.50  % (32034)------------------------------
% 0.19/0.51  % (32031)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)
% 0.19/0.51  % (32041)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  % (32039)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51  % (32042)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)
% 0.19/0.52  % (32047)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.52  % (32048)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)
% 0.19/0.52  % (32033)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  % (32029)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  % (32053)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)
% 0.19/0.53  % (32036)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53  % (32040)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  % (32035)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)
% 0.19/0.53  % (32033)Instruction limit reached!
% 0.19/0.53  % (32033)------------------------------
% 0.19/0.53  % (32033)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (32033)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (32033)Termination reason: Unknown
% 0.19/0.53  % (32033)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (32033)Memory used [KB]: 5500
% 0.19/0.53  % (32033)Time elapsed: 0.088 s
% 0.19/0.53  % (32033)Instructions burned: 7 (million)
% 0.19/0.53  % (32033)------------------------------
% 0.19/0.53  % (32033)------------------------------
% 0.19/0.53  % (32026)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)
% 0.19/0.53  % (32045)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  % (32027)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)
% 0.19/0.54  % (32052)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)
% 0.19/0.54  % (32032)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)
% 0.19/0.54  % (32054)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.54  % (32051)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.44/0.54  % (32041)First to succeed.
% 1.44/0.54  % (32043)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.44/0.54  % (32055)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)
% 1.44/0.54  % (32037)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)
% 1.44/0.54  % (32038)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.44/0.55  % (32050)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.44/0.55  % (32044)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.44/0.55  % (32046)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)
% 1.44/0.55  % (32041)Refutation found. Thanks to Tanya!
% 1.44/0.55  % SZS status Unsatisfiable for theBenchmark
% 1.44/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.44/0.55  % (32041)------------------------------
% 1.44/0.55  % (32041)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.55  % (32041)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.55  % (32041)Termination reason: Refutation
% 1.44/0.55  
% 1.44/0.55  % (32041)Memory used [KB]: 1407
% 1.44/0.55  % (32041)Time elapsed: 0.082 s
% 1.44/0.55  % (32041)Instructions burned: 18 (million)
% 1.44/0.55  % (32041)------------------------------
% 1.44/0.55  % (32041)------------------------------
% 1.44/0.55  % (32025)Success in time 0.202 s
%------------------------------------------------------------------------------