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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN989^3 : TPTP v9.3.1. Released v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n004.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 : Wed Sep 30 08:42:05 AM UTC 2026

% Result   : Theorem 0.25s 0.32s
% Output   : Refutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    8 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   18 (   3 equ)
%            Maximal formula atoms :    2 (   2 avg)
%            Number of connectives :   12 (   8   ~;   3   |;   1   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of FOOLs       :    6 (   6 fml;   0 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   1 usr;   3 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    p: $o ).

tff(f1,conjecture,
    ( ~ p
    | p ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTRIV0) ).

tff(f2,negated_conjecture,
    ~ ( ~ p
      | p ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

tff(f3,plain,
    ~ ( ~ p
      | p ),
    inference(rectify,[],[f2]) ).

tff(f4,plain,
    ( p
    & ~ p ),
    inference(ennf_transformation,[],[f3]) ).

tff(f5,plain,
    p != $true,
    inference(cnf_transformation,[],[f4]) ).

tff(f6,plain,
    p = $true,
    inference(cnf_transformation,[],[f4]) ).

tff(f9,plain,
    $true != $true,
    inference(definition_unfolding,[],[f5,f6]) ).

tff(f10,plain,
    $false,
    inference(trivial_inequality_removal,[],[f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN989^3 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.23  % Computer : n004.cluster.edu
% 0.11/0.23  % Model    : x86_64 x86_64
% 0.11/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.23  % Memory   : 8046.5625MB
% 0.11/0.23  % OS       : Linux 6.8.0-71-generic
% 0.11/0.23  % CPULimit : 300
% 0.11/0.23  % WCLimit  : 300
% 0.11/0.23  % DateTime : Tue Sep 29 16:20:07 UTC 2026
% 0.11/0.23  % CPUTime  : 
% 0.11/0.23  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.27  Running first-order model finding
% 0.11/0.27  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
% 0.25/0.32  % (1499649)Will run a generic schedule for satisfiability detection.
% 0.25/0.32  % (1499659)% WARNING: option uhcvi not known.
% 0.25/0.32  % (1499659)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3890548748:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.25/0.32  % (1499662)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1355882304:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.25/0.32  % (1499663)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1208630710:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.25/0.32  % (1499659) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1499649-1499659"...
% 0.25/0.32  % (1499664)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2853234805:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.25/0.32  % (1499660)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1884238134:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.25/0.32  % (1499662) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1499649-1499662"...
% 0.25/0.32  % (1499663) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1499649-1499663"...
% 0.25/0.32  % (1499664) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1499649-1499664"...
% 0.25/0.32  % (1499660) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1499649-1499660"...
% 0.25/0.32  % (1499659)...printing done.
% 0.25/0.32  % (1499660)...printing done.
% 0.25/0.32  % (1499662)...printing done.
% 0.25/0.32  % (1499663)...printing done.
% 0.25/0.32  % (1499664)...printing done.
% 0.25/0.32  % (1499659)Refutation found. Thanks to Tanya!
% 0.25/0.32  % SZS status Theorem for theBenchmark
% 0.25/0.32  % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.32  % (1499659)------------------------------
% 0.25/0.32  % (1499659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.32  % (1499659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.32  % (1499659)CaDiCaL version: 2.1.3
% 0.25/0.32  % (1499659)Termination reason: Refutation
% 0.25/0.32  % (1499659)Time elapsed: 0.001 s
% 0.25/0.32  % (1499659)Peak memory usage: 11 MB
% 0.25/0.32  % (1499649)Success in time 0.038 s
% 0.25/0.32  % Vampire exiting
%------------------------------------------------------------------------------