TSTP Solution File: SET108-6 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET108-6 : 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 : n023.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 18:19:17 EDT 2022

% Result   : Unsatisfiable 1.69s 0.61s
% Output   : Refutation 1.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    6 (   5 unt;   0 def)
%            Number of atoms       :    7 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    4 (   3   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f100,plain,
    $false,
    inference(subsumption_resolution,[],[f99,f92]) ).

fof(f92,axiom,
    member(ordered_pair(y,z),cross_product(universal_class,universal_class)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_existence_of_1st_and_2nd_1_1) ).

fof(f99,plain,
    ~ member(ordered_pair(y,z),cross_product(universal_class,universal_class)),
    inference(backward_demodulation,[],[f93,f96]) ).

fof(f96,plain,
    ordered_pair(y,z) = ordered_pair(first(ordered_pair(y,z)),second(ordered_pair(y,z))),
    inference(unit_resulting_resolution,[],[f92,f17]) ).

fof(f17,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,cross_product(X0,X1))
      | ordered_pair(first(X4),second(X4)) = X4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product4) ).

fof(f93,axiom,
    ~ member(ordered_pair(first(ordered_pair(y,z)),second(ordered_pair(y,z))),cross_product(universal_class,universal_class)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_existence_of_1st_and_2nd_1_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET108-6 : 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_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n023.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 13:39:05 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 1.51/0.56  % (4484)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.51/0.57  % (4499)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)
% 1.69/0.58  % (4492)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)
% 1.69/0.58  % (4499)Instruction limit reached!
% 1.69/0.58  % (4499)------------------------------
% 1.69/0.58  % (4499)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.58  % (4483)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)
% 1.69/0.58  % (4499)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.58  % (4499)Termination reason: Unknown
% 1.69/0.58  % (4499)Termination phase: Property scanning
% 1.69/0.58  
% 1.69/0.58  % (4499)Memory used [KB]: 1407
% 1.69/0.58  % (4499)Time elapsed: 0.006 s
% 1.69/0.58  % (4499)Instructions burned: 6 (million)
% 1.69/0.58  % (4499)------------------------------
% 1.69/0.58  % (4499)------------------------------
% 1.69/0.59  % (4492)Instruction limit reached!
% 1.69/0.59  % (4492)------------------------------
% 1.69/0.59  % (4492)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.59  % (4492)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.59  % (4492)Termination reason: Unknown
% 1.69/0.59  % (4492)Termination phase: Function definition elimination
% 1.69/0.59  
% 1.69/0.59  % (4492)Memory used [KB]: 1407
% 1.69/0.59  % (4492)Time elapsed: 0.005 s
% 1.69/0.59  % (4492)Instructions burned: 3 (million)
% 1.69/0.59  % (4492)------------------------------
% 1.69/0.59  % (4492)------------------------------
% 1.69/0.59  % (4495)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)
% 1.69/0.59  % (4482)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)
% 1.69/0.59  % (4484)Instruction limit reached!
% 1.69/0.59  % (4484)------------------------------
% 1.69/0.59  % (4484)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.59  % (4484)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.59  % (4484)Termination reason: Unknown
% 1.69/0.59  % (4484)Termination phase: Saturation
% 1.69/0.59  
% 1.69/0.59  % (4484)Memory used [KB]: 6268
% 1.69/0.59  % (4484)Time elapsed: 0.151 s
% 1.69/0.59  % (4495)Instruction limit reached!
% 1.69/0.59  % (4495)------------------------------
% 1.69/0.59  % (4495)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.59  % (4495)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.59  % (4495)Termination reason: Unknown
% 1.69/0.59  % (4495)Termination phase: Function definition elimination
% 1.69/0.59  
% 1.69/0.59  % (4495)Memory used [KB]: 1407
% 1.69/0.59  % (4495)Time elapsed: 0.003 s
% 1.69/0.59  % (4495)Instructions burned: 2 (million)
% 1.69/0.59  % (4495)------------------------------
% 1.69/0.59  % (4495)------------------------------
% 1.69/0.59  % (4484)Instructions burned: 25 (million)
% 1.69/0.59  % (4484)------------------------------
% 1.69/0.59  % (4484)------------------------------
% 1.69/0.60  % (4479)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.69/0.61  % (4483)First to succeed.
% 1.69/0.61  % (4483)Refutation found. Thanks to Tanya!
% 1.69/0.61  % SZS status Unsatisfiable for theBenchmark
% 1.69/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 1.69/0.61  % (4483)------------------------------
% 1.69/0.61  % (4483)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.61  % (4483)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.61  % (4483)Termination reason: Refutation
% 1.69/0.61  
% 1.69/0.61  % (4483)Memory used [KB]: 5884
% 1.69/0.61  % (4483)Time elapsed: 0.173 s
% 1.69/0.61  % (4483)Instructions burned: 2 (million)
% 1.69/0.61  % (4483)------------------------------
% 1.69/0.61  % (4483)------------------------------
% 1.69/0.61  % (4478)Success in time 0.252 s
%------------------------------------------------------------------------------