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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GEO011-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:51:10 AM UTC 2026

% Result   : Unsatisfiable 1.27s 1.14s
% Output   : Refutation 2.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   85 (  12 unt;   8 def)
%            Number of atoms       :  221 (  14 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  256 ( 120   ~; 128   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   9 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-5 aty)
%            Number of variables   :   33 (   0 sgn  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( ~ between(X0,X1,X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_betweeness) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X1,X2)
      | ~ between(X0,X1,X3)
      | X0 = X1
      | between(X0,X2,X3)
      | between(X0,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',connectivity_for_betweeness) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ between(X0,X1,X2)
      | ~ between(X3,X2,X4)
      | between(X0,outer_pasch(X1,X0,X3,X4,X2),X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',outer_pasch1) ).

fof(f8,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ between(X0,X1,X2)
      | ~ between(X3,X2,X4)
      | between(X4,X1,outer_pasch(X1,X0,X3,X4,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',outer_pasch2) ).

fof(f15,axiom,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension1) ).

fof(f16,axiom,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension2) ).

fof(f17,axiom,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension3) ).

fof(f21,axiom,
    ! [X2,X0,X1] :
      ( ~ colinear(X0,X1,X2)
      | between(X0,X1,X2)
      | between(X1,X0,X2)
      | between(X0,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',colinearity1) ).

fof(f25,negated_conjecture,
    colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lower_dimension_points_not_colinear) ).

fof(f26,plain,
    ( between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)
    | between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3)
    | between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2) ),
    inference(resolution,[],[f21,f25]) ).

fof(f30,plain,
    ( between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3)
    | between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2) ),
    inference(forward_subsumption_resolution,[],[f26,f15]) ).

fof(f32,definition,
    ( spl0_1
  <=> between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f34,plain,
    ( between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f36,definition,
    ( spl0_2
  <=> between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f38,plain,
    ( between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f39,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f30,f36,f32]) ).

fof(f52,plain,
    ( ! [X0] :
        ( ~ between(lower_dimension_point_2,lower_dimension_point_1,X0)
        | lower_dimension_point_1 = lower_dimension_point_2
        | between(lower_dimension_point_2,lower_dimension_point_3,X0)
        | between(lower_dimension_point_2,X0,lower_dimension_point_3) )
    | ~ spl0_2 ),
    inference(resolution,[],[f3,f38]) ).

fof(f57,definition,
    ( spl0_3
  <=> lower_dimension_point_1 = lower_dimension_point_2 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f59,plain,
    ( lower_dimension_point_1 = lower_dimension_point_2
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f57]) ).

fof(f61,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ between(lower_dimension_point_2,lower_dimension_point_1,X0)
        | between(lower_dimension_point_2,X0,lower_dimension_point_3)
        | between(lower_dimension_point_2,lower_dimension_point_3,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f62,plain,
    ( ! [X0] :
        ( ~ between(lower_dimension_point_2,lower_dimension_point_1,X0)
        | between(lower_dimension_point_2,X0,lower_dimension_point_3)
        | between(lower_dimension_point_2,lower_dimension_point_3,X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f63,plain,
    ( spl0_3
    | spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f52,f36,f61,f57]) ).

fof(f64,plain,
    ( between(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_3)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f38,f59]) ).

fof(f67,plain,
    ( ~ between(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_3)
    | ~ spl0_3 ),
    inference(superposition,[],[f15,f59]) ).

fof(f89,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[],[f67,f64]) ).

fof(f90,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f89]) ).

fof(f104,plain,
    ( ! [X0] :
        ( ~ between(lower_dimension_point_1,lower_dimension_point_3,X0)
        | lower_dimension_point_1 = lower_dimension_point_3
        | between(lower_dimension_point_1,lower_dimension_point_2,X0)
        | between(lower_dimension_point_1,X0,lower_dimension_point_2) )
    | ~ spl0_1 ),
    inference(resolution,[],[f34,f3]) ).

fof(f105,plain,
    ( ! [X0,X1] :
        ( ~ between(X0,lower_dimension_point_2,X1)
        | between(lower_dimension_point_1,outer_pasch(lower_dimension_point_3,lower_dimension_point_1,X0,X1,lower_dimension_point_2),X0) )
    | ~ spl0_1 ),
    inference(resolution,[],[f34,f7]) ).

fof(f106,plain,
    ( ! [X0,X1] :
        ( ~ between(X0,lower_dimension_point_2,X1)
        | between(X1,lower_dimension_point_3,outer_pasch(lower_dimension_point_3,lower_dimension_point_1,X0,X1,lower_dimension_point_2)) )
    | ~ spl0_1 ),
    inference(resolution,[],[f34,f8]) ).

fof(f111,definition,
    ( spl0_8
  <=> lower_dimension_point_1 = lower_dimension_point_3 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f113,plain,
    ( lower_dimension_point_1 = lower_dimension_point_3
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f111]) ).

fof(f127,definition,
    ( spl0_12
  <=> ! [X0] :
        ( ~ between(lower_dimension_point_1,lower_dimension_point_3,X0)
        | between(lower_dimension_point_1,X0,lower_dimension_point_2)
        | between(lower_dimension_point_1,lower_dimension_point_2,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f128,plain,
    ( ! [X0] :
        ( ~ between(lower_dimension_point_1,lower_dimension_point_3,X0)
        | between(lower_dimension_point_1,X0,lower_dimension_point_2)
        | between(lower_dimension_point_1,lower_dimension_point_2,X0) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f127]) ).

fof(f129,plain,
    ( spl0_8
    | spl0_12
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f104,f32,f127,f111]) ).

fof(f130,plain,
    ( ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_1)
    | ~ spl0_8 ),
    inference(superposition,[],[f15,f113]) ).

fof(f131,plain,
    ( ~ between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1)
    | ~ spl0_8 ),
    inference(superposition,[],[f16,f113]) ).

fof(f132,plain,
    ( ~ between(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)
    | ~ spl0_8 ),
    inference(superposition,[],[f17,f113]) ).

fof(f133,plain,
    ( colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_1)
    | ~ spl0_8 ),
    inference(superposition,[],[f25,f113]) ).

fof(f149,plain,
    ( between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_1)
    | between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1)
    | between(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)
    | ~ spl0_8 ),
    inference(resolution,[],[f133,f21]) ).

fof(f150,plain,
    ( between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1)
    | between(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[],[f149,f130]) ).

fof(f151,plain,
    ( between(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2)
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[],[f150,f131]) ).

fof(f152,plain,
    ( $false
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[],[f151,f132]) ).

fof(f153,plain,
    ~ spl0_8,
    inference(avatar_contradiction_clause,[],[f152]) ).

fof(f155,plain,
    ( between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2)
    | between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(resolution,[],[f128,f34]) ).

fof(f157,plain,
    ( between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(duplicate_literal_removal,[],[f155]) ).

fof(f159,plain,
    ( between(lower_dimension_point_1,outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2),lower_dimension_point_1)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(resolution,[],[f157,f105]) ).

fof(f172,plain,
    ( between(lower_dimension_point_2,lower_dimension_point_3,outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2))
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(resolution,[],[f106,f157]) ).

fof(f201,plain,
    ( lower_dimension_point_1 = outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(resolution,[],[f159,f1]) ).

fof(f211,definition,
    ( spl0_13
  <=> lower_dimension_point_1 = outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f213,plain,
    ( lower_dimension_point_1 = outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f230,plain,
    ( spl0_13
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f201,f127,f32,f211]) ).

fof(f263,plain,
    ( between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f172,f213]) ).

fof(f264,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f263,f16]) ).

fof(f265,plain,
    ( ~ spl0_1
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f264]) ).

fof(f266,plain,
    ( between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3)
    | between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3)
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(resolution,[],[f38,f62]) ).

fof(f269,plain,
    ( ! [X0,X1] :
        ( ~ between(X0,lower_dimension_point_3,X1)
        | between(lower_dimension_point_2,outer_pasch(lower_dimension_point_1,lower_dimension_point_2,X0,X1,lower_dimension_point_3),X0) )
    | ~ spl0_2 ),
    inference(resolution,[],[f38,f7]) ).

fof(f270,plain,
    ( ! [X0,X1] :
        ( ~ between(X0,lower_dimension_point_3,X1)
        | between(X1,lower_dimension_point_1,outer_pasch(lower_dimension_point_1,lower_dimension_point_2,X0,X1,lower_dimension_point_3)) )
    | ~ spl0_2 ),
    inference(resolution,[],[f38,f8]) ).

fof(f276,plain,
    ( between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3)
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(duplicate_literal_removal,[],[f266]) ).

fof(f345,plain,
    ( between(lower_dimension_point_2,outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3),lower_dimension_point_2)
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(resolution,[],[f269,f276]) ).

fof(f347,plain,
    ( between(lower_dimension_point_3,lower_dimension_point_1,outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3))
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(resolution,[],[f270,f276]) ).

fof(f459,plain,
    ( lower_dimension_point_2 = outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3)
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(resolution,[],[f345,f1]) ).

fof(f475,definition,
    ( spl0_25
  <=> lower_dimension_point_2 = outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f477,plain,
    ( lower_dimension_point_2 = outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f492,plain,
    ( spl0_25
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f459,f61,f36,f475]) ).

fof(f527,plain,
    ( between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f347,f477]) ).

fof(f528,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[],[f527,f17]) ).

fof(f529,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_25 ),
    inference(avatar_contradiction_clause,[],[f528]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f39]) ).

cnf(s2,plain,
    ( ~ spl0_2
    | spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f63]) ).

cnf(s3,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(sat_conversion,[],[f90]) ).

cnf(s10,plain,
    ( ~ spl0_1
    | spl0_8
    | spl0_12 ),
    inference(sat_conversion,[],[f129]) ).

cnf(s11,plain,
    ~ spl0_8,
    inference(sat_conversion,[],[f153]) ).

cnf(s16,plain,
    ( ~ spl0_1
    | ~ spl0_12
    | spl0_13 ),
    inference(sat_conversion,[],[f230]) ).

cnf(s17,plain,
    ( ~ spl0_1
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(sat_conversion,[],[f265]) ).

cnf(s30,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | spl0_25 ),
    inference(sat_conversion,[],[f492]) ).

cnf(s33,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f529]) ).

cnf(s37,plain,
    ( ~ spl0_1
    | spl0_12 ),
    inference(rat,[],[s10,s11]) ).

cnf(s41,plain,
    ( ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s30,s33]) ).

cnf(s42,plain,
    ( spl0_3
    | ~ spl0_2 ),
    inference(rat,[],[s41,s2]) ).

cnf(s43,plain,
    ~ spl0_2,
    inference(rat,[],[s42,s3]) ).

cnf(s44,plain,
    spl0_1,
    inference(rat,[],[s1,s43]) ).

cnf(s45,plain,
    spl0_12,
    inference(rat,[],[s37,s44]) ).

cnf(s49,plain,
    ~ spl0_13,
    inference(rat,[],[s17,s44,s45]) ).

cnf(s50,plain,
    $false,
    inference(rat,[],[s16,s44,s49,s45]) ).

fof(f530,plain,
    $false,
    inference(avatar_sat_refutation,[],[s50]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO011-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.39  % Computer : n005.cluster.edu
% 0.14/0.39  % Model    : x86_64 x86_64
% 0.14/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39  % Memory   : 8046.5625MB
% 0.14/0.39  % OS       : Linux 6.8.0-71-generic
% 0.14/0.39  % CPULimit : 300
% 0.14/0.39  % WCLimit  : 300
% 0.14/0.39  % DateTime : Sun Sep 27 06:35:32 UTC 2026
% 0.14/0.39  % CPUTime  : 
% 0.14/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.43  Running first-order theorem proving
% 0.14/0.43  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.27/1.14  % (3627853)Input is clausal, will run a generic CNF schedule.
% 1.27/1.14  % (3627925)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3208992160:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.27/1.14  % (3627925)First to succeed.
% 1.27/1.14  % (3627925)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3627853"
% 1.27/1.14  % (3627923)lrs+10_1_sil=8000:sp=occurrence:random_seed=773892811:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.27/1.14  % (3627923)Refutation not found, incomplete strategy
% 1.27/1.14  % (3627923)------------------------------
% 1.27/1.14  % (3627923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.27/1.14  % (3627923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/1.14  % (3627923)CaDiCaL version: 2.1.3
% 1.27/1.14  % (3627923)Termination reason: Refutation not found, incomplete strategy
% 1.27/1.14  % (3627923)Time elapsed: 0.001 s
% 1.27/1.14  % (3627923)Peak memory usage: 88 MB
% 1.27/1.14  % (3627921)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=969454037:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.27/1.14  % (3627920)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=775089689:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.27/1.14  % (3627922)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=555177267:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.27/1.14  % (3627924)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1136045691:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.27/1.14  % (3627926)dis-21_1_sil=8000:lcm=predicate:random_seed=3213665369:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 1.27/1.14  % (3627924)Instruction limit reached! 
% 1.27/1.14  % (3627924)------------------------------
% 1.27/1.14  % (3627924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.27/1.14  % (3627924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/1.14  % (3627924)CaDiCaL version: 2.1.3
% 1.27/1.14  % (3627924)Termination reason: Instruction limit
% 1.27/1.14  % (3627924)Termination phase: Saturation
% 1.27/1.14  % (3627924)Time elapsed: 0.047 s
% 1.27/1.14  % (3627924)Peak memory usage: 87 MB
% 1.27/1.14  % (3627924)Instructions burned: 116 (million)
% 1.27/1.14  % (3627926)Instruction limit reached! 
% 1.27/1.14  % (3627926)------------------------------
% 1.27/1.14  % (3627926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.27/1.14  % (3627926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/1.14  % (3627926)CaDiCaL version: 2.1.3
% 1.27/1.14  % (3627926)Termination reason: Instruction limit
% 1.27/1.14  % (3627926)Termination phase: Saturation
% 1.27/1.14  % (3627926)Time elapsed: 0.069 s
% 1.27/1.14  % (3627926)Peak memory usage: 88 MB
% 1.27/1.14  % (3627926)Instructions burned: 117 (million)
% 1.27/1.14  % (3627925)Refutation found. Thanks to Tanya!
% 1.27/1.14  % SZS status Unsatisfiable for theBenchmark
% 1.27/1.14  % SZS output start Proof for theBenchmark
% See solution above
% 2.51/1.23  % (3627925)------------------------------
% 2.51/1.23  % (3627925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.51/1.23  % (3627925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/1.23  % (3627925)CaDiCaL version: 2.1.3
% 2.51/1.23  % (3627925)Termination reason: Refutation
% 2.51/1.23  % (3627925)Time elapsed: 0.009 s
% 2.51/1.23  % (3627925)Peak memory usage: 89 MB
% 2.51/1.23  % (3627925)Instructions burned: 20 (million)
% 2.51/1.23  % (3627925)------------------------------
% 2.51/1.23  % (3627925)------------------------------
% 2.51/1.23  % (3627853)Success in time 0.274 s
% 2.51/1.23  % Vampire exiting
%------------------------------------------------------------------------------