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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWW478+1 : TPTP v9.3.1. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n008.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 01:40:16 PM UTC 2026

% Result   : Theorem 0.57s 0.39s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    7 (   7 unt;   0 def)
%            Number of atoms       :    7 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :   22 (  22 usr;  12 con; 0-3 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f16,axiom,
    hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,some_val(v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_InitBlockRed_I1_J) ).

fof(f213,conjecture,
    hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,some_val(v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(f214,negated_conjecture,
    ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,some_val(v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
    inference(negated_conjecture,[status(cth)],[f213]) ).

fof(f215,plain,
    ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,some_val(v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
    inference(flattening,[],[f214]) ).

fof(f445,plain,
    hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,some_val(v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
    inference(cnf_transformation,[],[f16]) ).

fof(f740,plain,
    ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,some_val(v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
    inference(cnf_transformation,[],[f215]) ).

fof(f835,plain,
    $false,
    inference(global_subsumption,[],[f445,f740]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW478+1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.25  % Computer : n008.cluster.edu
% 0.10/0.25  % Model    : x86_64 x86_64
% 0.10/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.25  % Memory   : 8046.5625MB
% 0.10/0.25  % OS       : Linux 6.8.0-71-generic
% 0.10/0.25  % CPULimit : 300
% 0.10/0.25  % WCLimit  : 300
% 0.10/0.25  % DateTime : Mon Sep 28 14:13:54 UTC 2026
% 0.10/0.25  % CPUTime  : 
% 0.10/0.25  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.24/0.31  Running first-order model finding
% 0.24/0.31  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
% 0.57/0.39  % (2271401)Will run a generic schedule for satisfiability detection.
% 0.57/0.39  % (2271409)dis+10_1_sil=32000:sp=arity:random_seed=3432381699:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.57/0.39  % (2271407)% WARNING: option uhcvi not known.
% 0.57/0.39  % (2271407)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1422013758:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.57/0.39  % (2271406)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1078598989_2999 on theBenchmark for (2999ds/0Mi)
% 0.57/0.39  % (2271408)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3548424585:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.57/0.39  % (2271410)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2162207629:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.57/0.39  % (2271411)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2342686497:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.57/0.39  % (2271412)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2093611893:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.57/0.39  % (2271408) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2271401-2271408"...
% 0.57/0.39  % (2271408)...printing done.
% 0.57/0.39  % (2271411) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2271401-2271411"...
% 0.57/0.39  % (2271408)Refutation found. Thanks to Tanya!
% 0.57/0.39  % SZS status Theorem for theBenchmark
% 0.57/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.57/0.39  % (2271408)------------------------------
% 0.57/0.39  % (2271408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.39  % (2271408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.39  % (2271408)CaDiCaL version: 2.1.3
% 0.57/0.39  % (2271408)Termination reason: Refutation
% 0.57/0.39  % (2271408)Time elapsed: 0.023 s
% 0.57/0.39  % (2271408)Peak memory usage: 12 MB
% 0.57/0.39  % (2271408)Instructions burned: 24 (million)
% 0.57/0.39  % (2271401)Success in time 0.071 s
% 0.57/0.39  % Vampire exiting
%------------------------------------------------------------------------------