TSTP Solution File: SET025-3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET025-3 : TPTP v8.1.0. Released v1.0.0.
% 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 : n012.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 18:18:31 EDT 2022

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    7 (   7 unt;   0 def)
%            Number of atoms       :    7 (   3 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f183,plain,
    $false,
    inference(subsumption_resolution,[],[f165,f8]) ).

fof(f8,axiom,
    ! [X0,X1] : little_set(non_ordered_pair(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',non_ordered_pair4) ).

fof(f165,plain,
    ~ little_set(non_ordered_pair(non_ordered_pair(a,a),non_ordered_pair(a,b))),
    inference(definition_unfolding,[],[f151,f152]) ).

fof(f152,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = non_ordered_pair(non_ordered_pair(X0,X0),non_ordered_pair(X0,X1)),
    inference(definition_unfolding,[],[f10,f9]) ).

fof(f9,axiom,
    ! [X0] : singleton_set(X0) = non_ordered_pair(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).

fof(f10,axiom,
    ! [X0,X1] : ordered_pair(X0,X1) = non_ordered_pair(singleton_set(X0),non_ordered_pair(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair) ).

fof(f151,axiom,
    ~ little_set(ordered_pair(a,b)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordered_pairs_are_small) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET025-3 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n012.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 12:56:05 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.48  % (4325)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)
% 0.21/0.49  % (4325)Refutation not found, incomplete strategy% (4325)------------------------------
% 0.21/0.49  % (4325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49  % (4325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49  % (4325)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.49  
% 0.21/0.49  % (4325)Memory used [KB]: 5884
% 0.21/0.49  % (4325)Time elapsed: 0.005 s
% 0.21/0.49  % (4325)Instructions burned: 2 (million)
% 0.21/0.49  % (4325)------------------------------
% 0.21/0.49  % (4325)------------------------------
% 0.21/0.49  % (4341)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)
% 0.21/0.49  % (4349)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)
% 0.21/0.50  % (4349)Refutation not found, incomplete strategy% (4349)------------------------------
% 0.21/0.50  % (4349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (4333)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)
% 0.21/0.50  % (4349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (4349)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.50  
% 0.21/0.50  % (4349)Memory used [KB]: 5884
% 0.21/0.50  % (4349)Time elapsed: 0.108 s
% 0.21/0.50  % (4349)Instructions burned: 3 (million)
% 0.21/0.50  % (4349)------------------------------
% 0.21/0.50  % (4349)------------------------------
% 0.21/0.50  % (4341)Instruction limit reached!
% 0.21/0.50  % (4341)------------------------------
% 0.21/0.50  % (4341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (4341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (4341)Termination reason: Unknown
% 0.21/0.50  % (4341)Termination phase: Saturation
% 0.21/0.50  
% 0.21/0.50  % (4341)Memory used [KB]: 1535
% 0.21/0.50  % (4341)Time elapsed: 0.007 s
% 0.21/0.50  % (4341)Instructions burned: 6 (million)
% 0.21/0.50  % (4341)------------------------------
% 0.21/0.50  % (4341)------------------------------
% 0.21/0.50  % (4333)Instruction limit reached!
% 0.21/0.50  % (4333)------------------------------
% 0.21/0.50  % (4333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (4333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (4333)Termination reason: Unknown
% 0.21/0.50  % (4333)Termination phase: Saturation
% 0.21/0.50  
% 0.21/0.50  % (4333)Memory used [KB]: 6012
% 0.21/0.50  % (4333)Time elapsed: 0.005 s
% 0.21/0.50  % (4333)Instructions burned: 6 (million)
% 0.21/0.50  % (4333)------------------------------
% 0.21/0.50  % (4333)------------------------------
% 0.21/0.51  % (4343)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)
% 0.21/0.51  % (4330)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)
% 0.21/0.52  % (4324)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)
% 0.21/0.52  % (4324)Refutation not found, incomplete strategy% (4324)------------------------------
% 0.21/0.52  % (4324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (4324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (4324)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52  
% 0.21/0.52  % (4324)Memory used [KB]: 5884
% 0.21/0.52  % (4324)Time elapsed: 0.002 s
% 0.21/0.52  % (4324)Instructions burned: 1 (million)
% 0.21/0.52  % (4324)------------------------------
% 0.21/0.52  % (4324)------------------------------
% 0.21/0.52  % (4343)First to succeed.
% 0.21/0.52  % (4343)Refutation found. Thanks to Tanya!
% 0.21/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52  % (4343)------------------------------
% 0.21/0.52  % (4343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (4343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (4343)Termination reason: Refutation
% 0.21/0.52  
% 0.21/0.52  % (4343)Memory used [KB]: 6012
% 0.21/0.52  % (4343)Time elapsed: 0.008 s
% 0.21/0.52  % (4343)Instructions burned: 7 (million)
% 0.21/0.52  % (4343)------------------------------
% 0.21/0.52  % (4343)------------------------------
% 0.21/0.52  % (4320)Success in time 0.169 s
%------------------------------------------------------------------------------