TSTP Solution File: SET078-6 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET078-6 : 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_uns --cores 0 -t %d %s

% Computer : n026.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 18:18:58 EDT 2022

% Result   : Unsatisfiable 0.18s 0.52s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    7 (   6 unt;   0 def)
%            Number of atoms       :    8 (   1 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    4 (   3   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f285,plain,
    $false,
    inference(resolution,[],[f153,f104]) ).

fof(f104,plain,
    ~ member(unordered_pair(y,y),unordered_pair(x,unordered_pair(y,y))),
    inference(definition_unfolding,[],[f92,f12,f12]) ).

fof(f12,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).

fof(f92,axiom,
    ~ member(singleton(y),unordered_pair(x,singleton(y))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_to_singletons_are_sets_1) ).

fof(f153,plain,
    ! [X2,X3,X1] : member(unordered_pair(X1,X2),unordered_pair(X3,unordered_pair(X1,X2))),
    inference(resolution,[],[f10,f11]) ).

fof(f11,axiom,
    ! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( ~ member(X1,universal_class)
      | member(X1,unordered_pair(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : SET078-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n026.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 13:24:21 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.47  % (6901)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)
% 0.18/0.48  % (6897)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)
% 0.18/0.48  % (6914)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)
% 0.18/0.49  % (6892)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)
% 0.18/0.49  % (6896)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.49  % (6899)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)
% 0.18/0.49  % (6901)Instruction limit reached!
% 0.18/0.49  % (6901)------------------------------
% 0.18/0.49  % (6901)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (6901)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (6901)Termination reason: Unknown
% 0.18/0.49  % (6901)Termination phase: Property scanning
% 0.18/0.49  
% 0.18/0.49  % (6901)Memory used [KB]: 1407
% 0.18/0.49  % (6901)Time elapsed: 0.004 s
% 0.18/0.49  % (6901)Instructions burned: 7 (million)
% 0.18/0.49  % (6901)------------------------------
% 0.18/0.49  % (6901)------------------------------
% 0.18/0.49  % (6899)Instruction limit reached!
% 0.18/0.49  % (6899)------------------------------
% 0.18/0.49  % (6899)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (6897)First to succeed.
% 0.18/0.50  % (6893)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)
% 0.18/0.50  % (6916)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)
% 0.18/0.50  % (6918)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)
% 0.18/0.50  % (6900)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)
% 0.18/0.50  % (6894)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)
% 0.18/0.50  % (6906)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)
% 0.18/0.50  % (6891)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.50  % (6900)Refutation not found, incomplete strategy% (6900)------------------------------
% 0.18/0.50  % (6900)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (6907)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)
% 0.18/0.50  % (6900)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (6900)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.50  
% 0.18/0.50  % (6900)Memory used [KB]: 6012
% 0.18/0.50  % (6900)Time elapsed: 0.113 s
% 0.18/0.50  % (6900)Instructions burned: 4 (million)
% 0.18/0.50  % (6900)------------------------------
% 0.18/0.50  % (6900)------------------------------
% 0.18/0.50  % (6915)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)
% 0.18/0.51  % (6907)Instruction limit reached!
% 0.18/0.51  % (6907)------------------------------
% 0.18/0.51  % (6907)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (6907)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (6907)Termination reason: Unknown
% 0.18/0.51  % (6907)Termination phase: Finite model building preprocessing
% 0.18/0.51  
% 0.18/0.51  % (6907)Memory used [KB]: 1535
% 0.18/0.51  % (6907)Time elapsed: 0.004 s
% 0.18/0.51  % (6907)Instructions burned: 8 (million)
% 0.18/0.51  % (6907)------------------------------
% 0.18/0.51  % (6907)------------------------------
% 0.18/0.51  % (6899)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (6899)Termination reason: Unknown
% 0.18/0.51  % (6899)Termination phase: Property scanning
% 0.18/0.51  
% 0.18/0.51  % (6899)Memory used [KB]: 1407
% 0.18/0.51  % (6899)Time elapsed: 0.003 s
% 0.18/0.51  % (6899)Instructions burned: 5 (million)
% 0.18/0.51  % (6899)------------------------------
% 0.18/0.51  % (6899)------------------------------
% 0.18/0.51  % (6893)Instruction limit reached!
% 0.18/0.51  % (6893)------------------------------
% 0.18/0.51  % (6893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (6893)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (6893)Termination reason: Unknown
% 0.18/0.51  % (6893)Termination phase: Property scanning
% 0.18/0.51  
% 0.18/0.51  % (6893)Memory used [KB]: 1407
% 0.18/0.51  % (6893)Time elapsed: 0.004 s
% 0.18/0.51  % (6893)Instructions burned: 4 (million)
% 0.18/0.51  % (6893)------------------------------
% 0.18/0.51  % (6893)------------------------------
% 0.18/0.51  % (6918)Refutation not found, incomplete strategy% (6918)------------------------------
% 0.18/0.51  % (6918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (6908)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.51  % (6908)Instruction limit reached!
% 0.18/0.51  % (6908)------------------------------
% 0.18/0.51  % (6908)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (6908)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (6908)Termination reason: Unknown
% 0.18/0.51  % (6908)Termination phase: Property scanning
% 0.18/0.51  
% 0.18/0.51  % (6908)Memory used [KB]: 1407
% 0.18/0.51  % (6908)Time elapsed: 0.004 s
% 0.18/0.51  % (6908)Instructions burned: 3 (million)
% 0.18/0.51  % (6908)------------------------------
% 0.18/0.51  % (6908)------------------------------
% 0.18/0.51  % (6909)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.51  % (6905)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)
% 0.18/0.51  % (6905)Instruction limit reached!
% 0.18/0.51  % (6905)------------------------------
% 0.18/0.51  % (6905)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (6905)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (6905)Termination reason: Unknown
% 0.18/0.51  % (6905)Termination phase: Function definition elimination
% 0.18/0.51  
% 0.18/0.51  % (6905)Memory used [KB]: 1407
% 0.18/0.51  % (6905)Time elapsed: 0.003 s
% 0.18/0.51  % (6905)Instructions burned: 3 (million)
% 0.18/0.51  % (6905)------------------------------
% 0.18/0.51  % (6905)------------------------------
% 0.18/0.51  % (6911)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)
% 0.18/0.51  % (6919)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)
% 0.18/0.51  % (6921)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)
% 0.18/0.51  % (6919)Refutation not found, incomplete strategy% (6919)------------------------------
% 0.18/0.51  % (6919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (6919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (6919)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51  
% 0.18/0.51  % (6919)Memory used [KB]: 1407
% 0.18/0.51  % (6919)Time elapsed: 0.126 s
% 0.18/0.51  % (6919)Instructions burned: 2 (million)
% 0.18/0.51  % (6919)------------------------------
% 0.18/0.51  % (6919)------------------------------
% 0.18/0.51  % (6921)Refutation not found, incomplete strategy% (6921)------------------------------
% 0.18/0.51  % (6921)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (6921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (6921)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51  
% 0.18/0.51  % (6921)Memory used [KB]: 6012
% 0.18/0.51  % (6921)Time elapsed: 0.126 s
% 0.18/0.51  % (6921)Instructions burned: 2 (million)
% 0.18/0.51  % (6921)------------------------------
% 0.18/0.51  % (6921)------------------------------
% 0.18/0.52  % (6911)Instruction limit reached!
% 0.18/0.52  % (6911)------------------------------
% 0.18/0.52  % (6911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (6911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (6911)Termination reason: Unknown
% 0.18/0.52  % (6911)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (6911)Memory used [KB]: 1535
% 0.18/0.52  % (6911)Time elapsed: 0.005 s
% 0.18/0.52  % (6911)Instructions burned: 9 (million)
% 0.18/0.52  % (6911)------------------------------
% 0.18/0.52  % (6911)------------------------------
% 0.18/0.52  % (6894)Also succeeded, but the first one will report.
% 0.18/0.52  % (6918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (6918)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52  
% 0.18/0.52  % (6918)Memory used [KB]: 6268
% 0.18/0.52  % (6918)Time elapsed: 0.123 s
% 0.18/0.52  % (6918)Instructions burned: 15 (million)
% 0.18/0.52  % (6918)------------------------------
% 0.18/0.52  % (6918)------------------------------
% 0.18/0.52  % (6897)Refutation found. Thanks to Tanya!
% 0.18/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52  % (6897)------------------------------
% 0.18/0.52  % (6897)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (6897)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (6897)Termination reason: Refutation
% 0.18/0.52  
% 0.18/0.52  % (6897)Memory used [KB]: 1535
% 0.18/0.52  % (6897)Time elapsed: 0.105 s
% 0.18/0.52  % (6897)Instructions burned: 12 (million)
% 0.18/0.52  % (6897)------------------------------
% 0.18/0.52  % (6897)------------------------------
% 0.18/0.52  % (6881)Success in time 0.172 s
%------------------------------------------------------------------------------