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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN265-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n009.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 02:07:09 PM UTC 2026

% Result   : Unsatisfiable 0.09s 0.27s
% Output   : Refutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   24 (  10 unt;   3 def)
%            Number of atoms       :   38 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   30 (  16   ~;  11   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   4 prp; 0-3 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    5 (   0 sgn   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f20,axiom,
    l0(a),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_20) ).

fof(f126,axiom,
    ( p1(a,a,a)
    | ~ l0(a) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_088) ).

fof(f175,axiom,
    ! [X2,X0,X1] :
      ( ~ p1(X1,X2,X0)
      | n2(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).

fof(f282,axiom,
    ! [X0] :
      ( p3(X0,X0,X0)
      | ~ n2(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_244) ).

fof(f369,negated_conjecture,
    ! [X0] : ~ p3(X0,X0,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f1124,definition,
    ( spl0_190
  <=> n2(a) ),
    introduced(definition,[new_symbols(definition,[spl0_190])],[avatar_definition]) ).

fof(f1126,plain,
    ( n2(a)
    | ~ spl0_190 ),
    inference(avatar_component_clause,[],[f1124]) ).

fof(f1276,definition,
    ( spl0_227
  <=> l0(a) ),
    introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).

fof(f1280,definition,
    ( spl0_228
  <=> p1(a,a,a) ),
    introduced(definition,[new_symbols(definition,[spl0_228])],[avatar_definition]) ).

fof(f1282,plain,
    ( p1(a,a,a)
    | ~ spl0_228 ),
    inference(avatar_component_clause,[],[f1280]) ).

fof(f1283,plain,
    ( ~ spl0_227
    | spl0_228 ),
    inference(avatar_split_clause,[],[f126,f1280,f1276]) ).

fof(f1560,plain,
    spl0_227,
    inference(avatar_split_clause,[],[f20,f1276]) ).

fof(f1750,plain,
    ( n2(a)
    | ~ spl0_228 ),
    inference(resolution,[],[f175,f1282]) ).

fof(f1753,plain,
    ( spl0_190
    | ~ spl0_228 ),
    inference(avatar_split_clause,[],[f1750,f1280,f1124]) ).

fof(f1760,plain,
    ~ n2(a),
    inference(resolution,[],[f282,f369]) ).

fof(f1761,plain,
    ( $false
    | ~ spl0_190 ),
    inference(forward_subsumption_resolution,[],[f1760,f1126]) ).

fof(f1762,plain,
    ~ spl0_190,
    inference(avatar_contradiction_clause,[],[f1761]) ).

cnf(s111,plain,
    ( ~ spl0_227
    | spl0_228 ),
    inference(sat_conversion,[],[f1283]) ).

cnf(s160,plain,
    spl0_227,
    inference(sat_conversion,[],[f1560]) ).

cnf(s248,plain,
    ( spl0_190
    | ~ spl0_228 ),
    inference(sat_conversion,[],[f1753]) ).

cnf(s252,plain,
    ~ spl0_190,
    inference(sat_conversion,[],[f1762]) ).

cnf(s253,plain,
    ~ spl0_228,
    inference(rat,[],[s248,s252]) ).

cnf(s293,plain,
    $false,
    inference(rat,[],[s111,s253,s160]) ).

fof(f1763,plain,
    $false,
    inference(avatar_sat_refutation,[],[s293]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN265-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19  % Computer : n009.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Mon Sep 28 15:40:20 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23  Running first-order model finding
% 0.09/0.23  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.27  % (3168475)Will run a generic schedule for satisfiability detection.
% 0.09/0.27  % (3168483)dis+10_1_sil=32000:sp=arity:random_seed=2565731907:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.27  % (3168481)% WARNING: option uhcvi not known.
% 0.09/0.27  % (3168483) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3168475-3168483"...
% 0.09/0.27  % (3168483)...printing done.
% 0.09/0.27  % (3168483)Refutation found. Thanks to Tanya!
% 0.09/0.27  % SZS status Unsatisfiable for theBenchmark
% 0.09/0.27  % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.27  % (3168483)------------------------------
% 0.09/0.27  % (3168483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.27  % (3168483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.27  % (3168483)CaDiCaL version: 2.1.3
% 0.09/0.27  % (3168483)Termination reason: Refutation
% 0.09/0.27  % (3168483)Time elapsed: 0.008 s
% 0.09/0.27  % (3168483)Peak memory usage: 13 MB
% 0.09/0.27  % (3168483)Instructions burned: 14 (million)
% 0.09/0.27  % (3168475)Success in time 0.034 s
% 0.09/0.27  % Vampire exiting
%------------------------------------------------------------------------------