TSTP Solution File: SET842-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET842-1 : 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_uns --cores 0 -t %d %s

% Computer : n010.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 18:22:29 EDT 2022

% Result   : Unsatisfiable 0.19s 0.58s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (   6 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   24 (  13   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1843,plain,
    $false,
    inference(subsumption_resolution,[],[f1838,f1561]) ).

fof(f1561,plain,
    c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),v_Y,tc_set(t_a)),tc_set(t_a)),
    inference(unit_resulting_resolution,[],[f1396,f298]) ).

fof(f298,axiom,
    ! [X2,X36,X13] :
      ( c_in(X13,c_Main_OUnionE__1(X13,X36,X2),X2)
      | ~ c_in(X13,c_Union(X36,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnionE_1) ).

fof(f1396,plain,
    c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),c_Union(v_Y,tc_set(t_a)),tc_set(t_a)),
    inference(resolution,[],[f1362,f307]) ).

fof(f307,axiom,
    ! [X2,X15,X13] :
      ( c_lessequals(X13,X15,tc_set(X2))
      | c_in(c_Main_OsubsetI__1(X13,X15,X2),X13,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).

fof(f1362,axiom,
    ~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f1838,plain,
    ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),v_Y,tc_set(t_a)),tc_set(t_a)),
    inference(unit_resulting_resolution,[],[f1386,f1396,f1471]) ).

fof(f1471,plain,
    ! [X2,X1] :
      ( ~ c_in(X1,c_Main_OUnionE__1(X2,v_Y,tc_set(t_a)),tc_set(t_a))
      | c_in(X1,v_m,tc_set(t_a))
      | ~ c_in(X2,c_Union(v_Y,tc_set(t_a)),tc_set(t_a)) ),
    inference(resolution,[],[f1405,f297]) ).

fof(f297,axiom,
    ! [X2,X36,X13] :
      ( c_in(c_Main_OUnionE__1(X13,X36,X2),X36,tc_set(X2))
      | ~ c_in(X13,c_Union(X36,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnionE_0) ).

fof(f1405,plain,
    ! [X4,X5] :
      ( ~ c_in(X4,v_Y,tc_set(tc_set(t_a)))
      | c_in(X5,v_m,tc_set(t_a))
      | ~ c_in(X5,X4,tc_set(t_a)) ),
    inference(resolution,[],[f1363,f306]) ).

fof(f306,axiom,
    ! [X2,X34,X15,X13] :
      ( ~ c_lessequals(X13,X15,tc_set(X2))
      | ~ c_in(X34,X13,X2)
      | c_in(X34,X15,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).

fof(f1363,axiom,
    ! [X41] :
      ( c_lessequals(X41,v_m,tc_set(tc_set(t_a)))
      | ~ c_in(X41,v_Y,tc_set(tc_set(t_a))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f1386,plain,
    ~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),v_m,tc_set(t_a)),
    inference(unit_resulting_resolution,[],[f1362,f308]) ).

fof(f308,axiom,
    ! [X2,X15,X13] :
      ( c_lessequals(X13,X15,tc_set(X2))
      | ~ c_in(c_Main_OsubsetI__1(X13,X15,X2),X15,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET842-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 14:16:14 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.51  % (16117)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.52  % (16128)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.53  % (16137)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.53  % (16126)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.54  % (16126)Instruction limit reached!
% 0.19/0.54  % (16126)------------------------------
% 0.19/0.54  % (16126)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (16119)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.54  % (16138)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.54  % (16126)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (16126)Termination reason: Unknown
% 0.19/0.54  % (16126)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (16126)Memory used [KB]: 7036
% 0.19/0.54  % (16126)Time elapsed: 0.005 s
% 0.19/0.54  % (16126)Instructions burned: 6 (million)
% 0.19/0.54  % (16126)------------------------------
% 0.19/0.54  % (16126)------------------------------
% 0.19/0.55  % (16141)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.19/0.55  % (16121)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55  % (16136)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.19/0.55  % (16132)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.19/0.55  % (16121)Refutation not found, incomplete strategy% (16121)------------------------------
% 0.19/0.55  % (16121)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (16121)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (16121)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55  
% 0.19/0.55  % (16121)Memory used [KB]: 6908
% 0.19/0.55  % (16121)Time elapsed: 0.088 s
% 0.19/0.55  % (16121)Instructions burned: 5 (million)
% 0.19/0.55  % (16121)------------------------------
% 0.19/0.55  % (16121)------------------------------
% 0.19/0.55  % (16118)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.55  % (16116)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.56  % (16118)Refutation not found, incomplete strategy% (16118)------------------------------
% 0.19/0.56  % (16118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (16118)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (16118)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.56  
% 0.19/0.56  % (16118)Memory used [KB]: 6908
% 0.19/0.56  % (16118)Time elapsed: 0.128 s
% 0.19/0.56  % (16118)Instructions burned: 5 (million)
% 0.19/0.56  % (16118)------------------------------
% 0.19/0.56  % (16118)------------------------------
% 0.19/0.56  % (16116)Instruction limit reached!
% 0.19/0.56  % (16116)------------------------------
% 0.19/0.56  % (16116)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (16116)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (16116)Termination reason: Unknown
% 0.19/0.56  % (16116)Termination phase: Equality proxy
% 0.19/0.56  
% 0.19/0.56  % (16116)Memory used [KB]: 2430
% 0.19/0.56  % (16116)Time elapsed: 0.004 s
% 0.19/0.56  % (16116)Instructions burned: 5 (million)
% 0.19/0.56  % (16116)------------------------------
% 0.19/0.56  % (16116)------------------------------
% 0.19/0.56  % (16123)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.56  % (16139)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.56  % (16128)Instruction limit reached!
% 0.19/0.56  % (16128)------------------------------
% 0.19/0.56  % (16128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (16144)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.56  % (16129)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.56  % (16143)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.56  % (16114)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.56  % (16128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (16128)Termination reason: Unknown
% 0.19/0.56  % (16128)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (16128)Memory used [KB]: 2686
% 0.19/0.56  % (16128)Time elapsed: 0.136 s
% 0.19/0.56  % (16128)Instructions burned: 30 (million)
% 0.19/0.56  % (16128)------------------------------
% 0.19/0.56  % (16128)------------------------------
% 0.19/0.56  % (16142)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.19/0.56  % (16129)Instruction limit reached!
% 0.19/0.56  % (16129)------------------------------
% 0.19/0.56  % (16129)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (16129)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (16129)Termination reason: Unknown
% 0.19/0.56  % (16129)Termination phase: Finite model building preprocessing
% 0.19/0.56  
% 0.19/0.56  % (16129)Memory used [KB]: 2686
% 0.19/0.56  % (16129)Time elapsed: 0.005 s
% 0.19/0.56  % (16129)Instructions burned: 8 (million)
% 0.19/0.56  % (16129)------------------------------
% 0.19/0.56  % (16129)------------------------------
% 0.19/0.56  % (16127)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.57  % (16117)Instruction limit reached!
% 0.19/0.57  % (16117)------------------------------
% 0.19/0.57  % (16117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (16117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (16117)Termination reason: Unknown
% 0.19/0.57  % (16117)Termination phase: Saturation
% 0.19/0.57  
% 0.19/0.57  % (16117)Memory used [KB]: 7164
% 0.19/0.57  % (16117)Time elapsed: 0.128 s
% 0.19/0.57  % (16117)Instructions burned: 43 (million)
% 0.19/0.57  % (16117)------------------------------
% 0.19/0.57  % (16117)------------------------------
% 0.19/0.57  % (16135)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.57  % (16125)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.57  % (16133)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.57  % (16122)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.57  % (16120)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.57  % (16127)Instruction limit reached!
% 0.19/0.57  % (16127)------------------------------
% 0.19/0.57  % (16127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (16127)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (16127)Termination reason: Unknown
% 0.19/0.57  % (16127)Termination phase: SInE selection
% 0.19/0.57  
% 0.19/0.57  % (16127)Memory used [KB]: 2302
% 0.19/0.57  % (16127)Time elapsed: 0.006 s
% 0.19/0.57  % (16127)Instructions burned: 3 (million)
% 0.19/0.57  % (16127)------------------------------
% 0.19/0.57  % (16127)------------------------------
% 0.19/0.57  % (16137)First to succeed.
% 0.19/0.57  % (16131)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.57  % (16115)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.57  % (16135)Instruction limit reached!
% 0.19/0.57  % (16135)------------------------------
% 0.19/0.57  % (16135)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (16135)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (16135)Termination reason: Unknown
% 0.19/0.57  % (16135)Termination phase: Property scanning
% 0.19/0.57  
% 0.19/0.57  % (16135)Memory used [KB]: 2430
% 0.19/0.57  % (16135)Time elapsed: 0.006 s
% 0.19/0.57  % (16135)Instructions burned: 7 (million)
% 0.19/0.57  % (16135)------------------------------
% 0.19/0.57  % (16135)------------------------------
% 0.19/0.57  % (16124)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.58  % (16137)Refutation found. Thanks to Tanya!
% 0.19/0.58  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.58  % (16137)------------------------------
% 0.19/0.58  % (16137)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (16137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (16137)Termination reason: Refutation
% 0.19/0.58  
% 0.19/0.58  % (16137)Memory used [KB]: 7419
% 0.19/0.58  % (16137)Time elapsed: 0.128 s
% 0.19/0.58  % (16137)Instructions burned: 33 (million)
% 0.19/0.58  % (16137)------------------------------
% 0.19/0.58  % (16137)------------------------------
% 0.19/0.58  % (16110)Success in time 0.219 s
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