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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN030-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n006.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 02:06:27 PM UTC 2026

% Result   : Unsatisfiable 0.08s 0.25s
% Output   : Refutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   33 (   7 unt;   5 def)
%            Number of atoms       :   68 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   65 (  30   ~;  30   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   11 (  10 usr;  11 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ( ~ t
    | ~ s
    | p ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f2,axiom,
    ( ~ r
    | s ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

fof(f4,axiom,
    ( ~ r
    | ~ q
    | t ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

fof(f5,axiom,
    ( ~ q
    | r ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).

fof(f6,axiom,
    ( q
    | r ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).

fof(f7,axiom,
    ( ~ r
    | q ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).

fof(f9,negated_conjecture,
    ( ~ p
    | ~ q
    | ~ r ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem) ).

fof(f11,definition,
    ( spl0_1
  <=> r ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f15,definition,
    ( spl0_2
  <=> q ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f19,definition,
    ( spl0_3
  <=> p ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f22,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f9,f19,f15,f11]) ).

fof(f24,definition,
    ( spl0_4
  <=> s ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f28,plain,
    ( spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f7,f11,f15]) ).

fof(f29,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f6,f15,f11]) ).

fof(f30,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f5,f15,f11]) ).

fof(f32,definition,
    ( spl0_5
  <=> t ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f35,plain,
    ( spl0_5
    | ~ spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f4,f11,f15,f32]) ).

fof(f36,plain,
    ( spl0_4
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f2,f11,f24]) ).

fof(f37,plain,
    ( spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f1,f32,f24,f19]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(sat_conversion,[],[f22]) ).

cnf(s3,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f28]) ).

cnf(s4,plain,
    ( spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f29]) ).

cnf(s5,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(sat_conversion,[],[f30]) ).

cnf(s6,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(sat_conversion,[],[f35]) ).

cnf(s7,plain,
    ( ~ spl0_1
    | spl0_4 ),
    inference(sat_conversion,[],[f36]) ).

cnf(s8,plain,
    ( spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(sat_conversion,[],[f37]) ).

cnf(s9,plain,
    spl0_1,
    inference(rat,[],[s4,s5]) ).

cnf(s10,plain,
    spl0_4,
    inference(rat,[],[s7,s9]) ).

cnf(s11,plain,
    spl0_2,
    inference(rat,[],[s3,s9]) ).

cnf(s12,plain,
    spl0_5,
    inference(rat,[],[s6,s11,s9]) ).

cnf(s13,plain,
    spl0_3,
    inference(rat,[],[s8,s12,s10]) ).

cnf(s14,plain,
    $false,
    inference(rat,[],[s1,s9,s13,s11]) ).

fof(f38,plain,
    $false,
    inference(avatar_sat_refutation,[],[s14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN030-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18  % Computer : n006.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 15:20:10 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21  Running first-order model finding
% 0.08/0.21  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.25  % (4048234)Will run a generic schedule for satisfiability detection.
% 0.08/0.25  % (4048243)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1943282830:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.25  % (4048243) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4048234-4048243"...
% 0.08/0.25  % (4048243)...printing done.
% 0.08/0.25  % (4048240)% WARNING: option uhcvi not known.
% 0.08/0.25  % (4048243)Refutation found. Thanks to Tanya!
% 0.08/0.25  % SZS status Unsatisfiable for theBenchmark
% 0.08/0.25  % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.25  % (4048243)------------------------------
% 0.08/0.25  % (4048243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25  % (4048243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25  % (4048243)CaDiCaL version: 2.1.3
% 0.08/0.25  % (4048243)Termination reason: Refutation
% 0.08/0.25  % (4048243)Time elapsed: 0.001 s
% 0.08/0.25  % (4048243)Peak memory usage: 12 MB
% 0.08/0.25  % (4048234)Success in time 0.03 s
% 0.08/0.25  % Vampire exiting
%------------------------------------------------------------------------------