%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET787-1 : TPTP v8.1.0. Released v2.7.0.
% 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 : n005.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 18:25:39 EDT 2022

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   31 (  11 unt;   3 typ;   0 def)
%            Number of atoms       :   50 (  11 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   42 (  20   ~;  22   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   31 (  31   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_4,type,
    sQ1_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_5,type,
    sQ2_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_6,type,
    sQ3_eqProxy: ( $real * $real ) > $o ).

fof(f119,plain,
    $false,
    inference(subsumption_resolution,[],[f118,f62]) ).

fof(f62,plain,
    ~ member(sk2,a),
    inference(resolution,[],[f24,f17]) ).

fof(f17,plain,
    ~ member(sk2,un(a,b)),
    inference(literal_reordering,[],[f14]) ).

fof(f14,axiom,
    ~ member(sk2,un(a,b)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',un_eq_Union_2_c2) ).

fof(f24,plain,
    ! [X2,X3,X5] :
      ( member(X5,un(X2,X3))
      | ~ member(X5,X2) ),
    inference(literal_reordering,[],[f6]) ).

fof(f6,axiom,
    ! [X2,X3,X5] :
      ( member(X5,un(X2,X3))
      | ~ member(X5,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unI1) ).

fof(f118,plain,
    member(sk2,a),
    inference(subsumption_resolution,[],[f117,f26]) ).

fof(f26,plain,
    member(sk2,union(cons(a,cons(b,eptset)))),
    inference(literal_reordering,[],[f13]) ).

fof(f13,axiom,
    member(sk2,union(cons(a,cons(b,eptset)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',un_eq_Union_2_c1) ).

fof(f117,plain,
    ( ~ member(sk2,union(cons(a,cons(b,eptset))))
    | member(sk2,a) ),
    inference(superposition,[],[f21,f114]) ).

fof(f114,plain,
    a = unionE_sk1(sk2,cons(a,cons(b,eptset))),
    inference(subsumption_resolution,[],[f113,f26]) ).

fof(f113,plain,
    ( a = unionE_sk1(sk2,cons(a,cons(b,eptset)))
    | ~ member(sk2,union(cons(a,cons(b,eptset)))) ),
    inference(subsumption_resolution,[],[f110,f61]) ).

fof(f61,plain,
    ~ member(sk2,b),
    inference(resolution,[],[f19,f17]) ).

fof(f19,plain,
    ! [X2,X3,X5] :
      ( member(X5,un(X2,X3))
      | ~ member(X5,X3) ),
    inference(literal_reordering,[],[f7]) ).

fof(f7,axiom,
    ! [X2,X3,X5] :
      ( member(X5,un(X2,X3))
      | ~ member(X5,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unI2) ).

fof(f110,plain,
    ( member(sk2,b)
    | ~ member(sk2,union(cons(a,cons(b,eptset))))
    | a = unionE_sk1(sk2,cons(a,cons(b,eptset))) ),
    inference(superposition,[],[f21,f88]) ).

fof(f88,plain,
    ( b = unionE_sk1(sk2,cons(a,cons(b,eptset)))
    | a = unionE_sk1(sk2,cons(a,cons(b,eptset))) ),
    inference(subsumption_resolution,[],[f87,f25]) ).

fof(f25,plain,
    ! [X6] : ~ member(X6,eptset),
    inference(literal_reordering,[],[f8]) ).

fof(f8,axiom,
    ! [X6] : ~ member(X6,eptset),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f87,plain,
    ( b = unionE_sk1(sk2,cons(a,cons(b,eptset)))
    | a = unionE_sk1(sk2,cons(a,cons(b,eptset)))
    | member(unionE_sk1(sk2,cons(a,cons(b,eptset))),eptset) ),
    inference(resolution,[],[f81,f15]) ).

fof(f15,plain,
    ! [X0,X1,X4] :
      ( ~ member(X0,cons(X1,X4))
      | member(X0,X4)
      | X0 = X1 ),
    inference(literal_reordering,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X0,cons(X1,X4))
      | member(X0,X4)
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f81,plain,
    ( member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset))
    | a = unionE_sk1(sk2,cons(a,cons(b,eptset))) ),
    inference(resolution,[],[f65,f26]) ).

fof(f65,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,union(cons(X1,X2)))
      | unionE_sk1(X0,cons(X1,X2)) = X1
      | member(unionE_sk1(X0,cons(X1,X2)),X2) ),
    inference(resolution,[],[f15,f23]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( member(unionE_sk1(X0,X1),X1)
      | ~ member(X0,union(X1)) ),
    inference(literal_reordering,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ~ member(X0,union(X1))
      | member(unionE_sk1(X0,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f21,plain,
    ! [X0,X1] :
      ( member(X0,unionE_sk1(X0,X1))
      | ~ member(X0,union(X1)) ),
    inference(literal_reordering,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ member(X0,union(X1))
      | member(X0,unionE_sk1(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SET787-1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n005.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 14:20:03 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (31120)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50  % (31128)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51  % (31121)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)
% 0.20/0.51  % (31136)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)
% 0.20/0.52  % (31136)First to succeed.
% 0.20/0.52  % (31137)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)
% 0.20/0.53  % (31139)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)
% 0.20/0.53  % (31114)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (31129)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)
% 0.20/0.53  % (31131)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.53  % (31133)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)
% 0.20/0.53  % (31132)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)
% 0.20/0.53  % (31123)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53  % (31134)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53  % (31112)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)
% 0.20/0.53  % (31113)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)
% 0.20/0.53  % (31122)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.53  % (31111)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)
% 0.20/0.53  % (31110)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)
% 0.20/0.53  % (31111)Refutation not found, incomplete strategy% (31111)------------------------------
% 0.20/0.53  % (31111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (31124)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)
% 0.20/0.54  % (31126)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)
% 0.20/0.54  % (31127)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54  % (31111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (31111)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (31111)Memory used [KB]: 5373
% 0.20/0.54  % (31111)Time elapsed: 0.127 s
% 0.20/0.54  % (31111)Instructions burned: 1 (million)
% 0.20/0.54  % (31111)------------------------------
% 0.20/0.54  % (31111)------------------------------
% 0.20/0.54  % (31118)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54  % (31135)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54  % (31136)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (31136)------------------------------
% 0.20/0.54  % (31136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (31136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (31136)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (31136)Memory used [KB]: 5884
% 0.20/0.54  % (31136)Time elapsed: 0.009 s
% 0.20/0.54  % (31136)Instructions burned: 8 (million)
% 0.20/0.54  % (31136)------------------------------
% 0.20/0.54  % (31136)------------------------------
% 0.20/0.54  % (31109)Success in time 0.187 s
%------------------------------------------------------------------------------