TSTP Solution File: SET864-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET864-1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n021.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 18:25:58 EDT 2022

% Result   : Unsatisfiable 1.73s 0.60s
% Output   : Refutation 1.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (   8 unt;   0 def)
%            Number of atoms       :   36 (   8 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   30 (  13   ~;  17   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1787,plain,
    $false,
    inference(subsumption_resolution,[],[f1785,f1717]) ).

fof(f1717,plain,
    ~ c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)),
    inference(consistent_polarity_flipping,[],[f1363]) ).

fof(f1363,axiom,
    c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f1785,plain,
    c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)),
    inference(resolution,[],[f1775,f1499]) ).

fof(f1499,plain,
    ! [X41] :
      ( ~ c_in(v_x(X41),v_S,tc_set(t_a))
      | c_in(X41,v_S,tc_set(t_a)) ),
    inference(consistent_polarity_flipping,[],[f1364]) ).

fof(f1364,axiom,
    ! [X41] :
      ( c_in(v_x(X41),v_S,tc_set(t_a))
      | ~ c_in(X41,v_S,tc_set(t_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f1775,plain,
    c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a)),
    inference(subsumption_resolution,[],[f1774,f1720]) ).

fof(f1720,plain,
    c_Union(v_c,t_a) != v_x(c_Union(v_c,t_a)),
    inference(resolution,[],[f1549,f1717]) ).

fof(f1549,plain,
    ! [X41] :
      ( c_in(X41,v_S,tc_set(t_a))
      | v_x(X41) != X41 ),
    inference(consistent_polarity_flipping,[],[f1366]) ).

fof(f1366,axiom,
    ! [X41] :
      ( ~ c_in(X41,v_S,tc_set(t_a))
      | v_x(X41) != X41 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f1774,plain,
    ( c_Union(v_c,t_a) = v_x(c_Union(v_c,t_a))
    | c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a)) ),
    inference(subsumption_resolution,[],[f1771,f1717]) ).

fof(f1771,plain,
    ( c_in(c_Union(v_c,t_a),v_S,tc_set(t_a))
    | c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a))
    | c_Union(v_c,t_a) = v_x(c_Union(v_c,t_a)) ),
    inference(resolution,[],[f1756,f1706]) ).

fof(f1706,plain,
    ! [X41] :
      ( ~ c_lessequals(X41,v_x(X41),tc_set(t_a))
      | c_in(X41,v_S,tc_set(t_a)) ),
    inference(consistent_polarity_flipping,[],[f1365]) ).

fof(f1365,axiom,
    ! [X41] :
      ( ~ c_in(X41,v_S,tc_set(t_a))
      | c_lessequals(X41,v_x(X41),tc_set(t_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f1756,plain,
    ! [X0] :
      ( c_lessequals(c_Union(v_c,t_a),X0,tc_set(t_a))
      | c_Union(v_c,t_a) = X0
      | c_in(X0,v_S,tc_set(t_a)) ),
    inference(resolution,[],[f1671,f1561]) ).

fof(f1561,plain,
    ~ c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
    inference(consistent_polarity_flipping,[],[f1361]) ).

fof(f1361,axiom,
    c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1671,plain,
    ! [X40,X2,X38,X34] :
      ( c_in(X34,c_Zorn_Omaxchain(X40,X2),tc_set(tc_set(X2)))
      | c_lessequals(c_Union(X34,X2),X38,tc_set(X2))
      | c_in(X38,X40,tc_set(X2))
      | c_Union(X34,X2) = X38 ),
    inference(consistent_polarity_flipping,[],[f1359]) ).

fof(f1359,axiom,
    ! [X2,X38,X40,X34] :
      ( ~ c_lessequals(c_Union(X34,X2),X38,tc_set(X2))
      | c_Union(X34,X2) = X38
      | ~ c_in(X38,X40,tc_set(X2))
      | ~ c_in(X34,c_Zorn_Omaxchain(X40,X2),tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__Zorn_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SET864-1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n021.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 14:23:26 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.48  % (19814)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)
% 0.19/0.51  % (19817)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (19813)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  % (19837)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  % (19822)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52  % (19822)Instruction limit reached!
% 0.19/0.52  % (19822)------------------------------
% 0.19/0.52  % (19822)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (19822)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (19822)Termination reason: Unknown
% 0.19/0.52  % (19822)Termination phase: Unused predicate definition removal
% 0.19/0.52  
% 0.19/0.52  % (19822)Memory used [KB]: 1918
% 0.19/0.52  % (19822)Time elapsed: 0.003 s
% 0.19/0.52  % (19822)Instructions burned: 2 (million)
% 0.19/0.52  % (19842)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)
% 0.19/0.52  % (19822)------------------------------
% 0.19/0.52  % (19822)------------------------------
% 0.19/0.53  % (19838)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)
% 0.19/0.53  % (19834)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  % (19818)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)
% 0.19/0.53  % (19828)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  % (19833)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  % (19829)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)
% 0.19/0.53  % (19819)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)
% 0.19/0.53  % (19816)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)
% 0.19/0.54  % (19820)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54  % (19815)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)
% 0.19/0.55  % (19820)Instruction limit reached!
% 0.19/0.55  % (19820)------------------------------
% 0.19/0.55  % (19820)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (19820)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (19820)Termination reason: Unknown
% 0.19/0.55  % (19820)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (19820)Memory used [KB]: 6652
% 0.19/0.55  % (19820)Time elapsed: 0.005 s
% 0.19/0.55  % (19820)Instructions burned: 8 (million)
% 0.19/0.55  % (19820)------------------------------
% 0.19/0.55  % (19820)------------------------------
% 0.19/0.55  % (19826)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.55  % (19844)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)
% 0.19/0.55  % (19839)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.55  % (19840)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.55  % (19843)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.56  % (19823)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)
% 0.19/0.56  % (19825)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)
% 0.19/0.56  % (19835)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)
% 0.19/0.56  % (19830)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)
% 0.19/0.56  % (19836)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.56  % (19824)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.56  % (19831)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.57  % (19827)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.57  % (19841)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)
% 0.19/0.58  % (19834)First to succeed.
% 0.19/0.59  % (19814)Instruction limit reached!
% 0.19/0.59  % (19814)------------------------------
% 0.19/0.59  % (19814)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.60  % (19814)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.60  % (19814)Termination reason: Unknown
% 1.73/0.60  % (19814)Termination phase: Saturation
% 1.73/0.60  
% 1.73/0.60  % (19814)Memory used [KB]: 7419
% 1.73/0.60  % (19814)Time elapsed: 0.174 s
% 1.73/0.60  % (19814)Instructions burned: 52 (million)
% 1.73/0.60  % (19814)------------------------------
% 1.73/0.60  % (19814)------------------------------
% 1.73/0.60  % (19834)Refutation found. Thanks to Tanya!
% 1.73/0.60  % SZS status Unsatisfiable for theBenchmark
% 1.73/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.73/0.60  % (19834)------------------------------
% 1.73/0.60  % (19834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.60  % (19834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.60  % (19834)Termination reason: Refutation
% 1.73/0.60  
% 1.73/0.60  % (19834)Memory used [KB]: 2430
% 1.73/0.60  % (19834)Time elapsed: 0.173 s
% 1.73/0.60  % (19834)Instructions burned: 30 (million)
% 1.73/0.60  % (19834)------------------------------
% 1.73/0.60  % (19834)------------------------------
% 1.73/0.60  % (19797)Success in time 0.254 s
%------------------------------------------------------------------------------