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FindProof---0.1.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : SYN001-1.005 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% 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 : Fri Sep 25 03:33:16 PM UTC 2026

% Result   : Unsatisfiable 4.01s 0.93s
% Output   : Proof 4.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   83
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  288 (   7 unt;   0 def)
%            Number of atoms       : 1241 (   0 equ)
%            Maximal formula atoms :    8 (   4 avg)
%            Number of connectives : 1393 ( 440   ~; 953   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    6 (   5 usr;   6 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(f1,negated_conjecture,
    ( ~ p_5
    | p_4
    | p_3
    | p_2
    | p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppppn) ).

fof(f1_nnf,plain,
    ( ~ p_5
    | p_4
    | p_3
    | p_2
    | p_1 ),
    inference(nnf_transformation,[status(thm)],[f1]) ).

fof(f1_sk,plain,
    ( ~ p_5
    | p_4
    | p_3
    | p_2
    | p_1 ),
    inference(skolemisation,[status(esa)],[f1_nnf]) ).

cnf(c1,plain,
    ( ~ p_5
    | p_4
    | p_3
    | p_2
    | p_1 ),
    inference(cnf_transformation,[status(esa)],[f1_sk]) ).

cnf(f0,negated_conjecture,
    ( p_5
    | p_4
    | p_3
    | p_2
    | p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppppp) ).

fof(f0_nnf,plain,
    ( p_5
    | p_4
    | p_3
    | p_2
    | p_1 ),
    inference(nnf_transformation,[status(thm)],[f0]) ).

fof(f0_sk,plain,
    ( p_5
    | p_4
    | p_3
    | p_2
    | p_1 ),
    inference(skolemisation,[status(esa)],[f0_nnf]) ).

cnf(c0,plain,
    ( p_5
    | p_4
    | p_3
    | p_2
    | p_1 ),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p32,plain,
    ( p_4
    | p_3
    | p_2
    | p_1
    | p_4
    | p_3
    | p_2
    | p_1 ),
    inference(resolution,[status(thm)],[c1,c0]) ).

cnf(p33,plain,
    ( p_4
    | p_3
    | p_2
    | p_4
    | p_3
    | p_2
    | p_1 ),
    inference(factoring,[status(thm)],[p32]) ).

cnf(p37,plain,
    ( p_4
    | p_3
    | p_4
    | p_3
    | p_2
    | p_1 ),
    inference(factoring,[status(thm)],[p33]) ).

cnf(p40,plain,
    ( p_4
    | p_4
    | p_3
    | p_2
    | p_1 ),
    inference(factoring,[status(thm)],[p37]) ).

cnf(p42,plain,
    ( p_4
    | p_3
    | p_2
    | p_1 ),
    inference(factoring,[status(thm)],[p40]) ).

cnf(f3,negated_conjecture,
    ( ~ p_5
    | ~ p_4
    | p_3
    | p_2
    | p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pppnn) ).

fof(f3_nnf,plain,
    ( ~ p_5
    | ~ p_4
    | p_3
    | p_2
    | p_1 ),
    inference(nnf_transformation,[status(thm)],[f3]) ).

fof(f3_sk,plain,
    ( ~ p_5
    | ~ p_4
    | p_3
    | p_2
    | p_1 ),
    inference(skolemisation,[status(esa)],[f3_nnf]) ).

cnf(c3,plain,
    ( ~ p_5
    | ~ p_4
    | p_3
    | p_2
    | p_1 ),
    inference(cnf_transformation,[status(esa)],[f3_sk]) ).

cnf(p44,plain,
    ( ~ p_5
    | p_3
    | p_2
    | p_1
    | p_3
    | p_2
    | p_1 ),
    inference(resolution,[status(thm)],[p42,c3]) ).

cnf(p50,plain,
    ( ~ p_5
    | p_3
    | p_2
    | p_3
    | p_2
    | p_1 ),
    inference(factoring,[status(thm)],[p44]) ).

cnf(p54,plain,
    ( ~ p_5
    | p_3
    | p_3
    | p_2
    | p_1 ),
    inference(factoring,[status(thm)],[p50]) ).

cnf(p56,plain,
    ( ~ p_5
    | p_3
    | p_2
    | p_1 ),
    inference(factoring,[status(thm)],[p54]) ).

cnf(f2,negated_conjecture,
    ( p_5
    | ~ p_4
    | p_3
    | p_2
    | p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pppnp) ).

fof(f2_nnf,plain,
    ( p_5
    | ~ p_4
    | p_3
    | p_2
    | p_1 ),
    inference(nnf_transformation,[status(thm)],[f2]) ).

fof(f2_sk,plain,
    ( p_5
    | ~ p_4
    | p_3
    | p_2
    | p_1 ),
    inference(skolemisation,[status(esa)],[f2_nnf]) ).

cnf(c2,plain,
    ( p_5
    | ~ p_4
    | p_3
    | p_2
    | p_1 ),
    inference(cnf_transformation,[status(esa)],[f2_sk]) ).

cnf(p43,plain,
    ( p_5
    | p_3
    | p_2
    | p_1
    | p_3
    | p_2
    | p_1 ),
    inference(resolution,[status(thm)],[p42,c2]) ).

cnf(p45,plain,
    ( p_5
    | p_3
    | p_2
    | p_3
    | p_2
    | p_1 ),
    inference(factoring,[status(thm)],[p43]) ).

cnf(p48,plain,
    ( p_5
    | p_3
    | p_3
    | p_2
    | p_1 ),
    inference(factoring,[status(thm)],[p45]) ).

cnf(p53,plain,
    ( p_5
    | p_3
    | p_2
    | p_1 ),
    inference(factoring,[status(thm)],[p48]) ).

cnf(p57,plain,
    ( p_3
    | p_2
    | p_1
    | p_3
    | p_2
    | p_1 ),
    inference(resolution,[status(thm)],[p56,p53]) ).

cnf(p58,plain,
    ( p_3
    | p_2
    | p_3
    | p_2
    | p_1 ),
    inference(factoring,[status(thm)],[p57]) ).

cnf(p61,plain,
    ( p_3
    | p_3
    | p_2
    | p_1 ),
    inference(factoring,[status(thm)],[p58]) ).

cnf(p63,plain,
    ( p_3
    | p_2
    | p_1 ),
    inference(factoring,[status(thm)],[p61]) ).

cnf(f5,negated_conjecture,
    ( ~ p_5
    | p_4
    | ~ p_3
    | p_2
    | p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppnpn) ).

fof(f5_nnf,plain,
    ( ~ p_5
    | p_4
    | ~ p_3
    | p_2
    | p_1 ),
    inference(nnf_transformation,[status(thm)],[f5]) ).

fof(f5_sk,plain,
    ( ~ p_5
    | p_4
    | ~ p_3
    | p_2
    | p_1 ),
    inference(skolemisation,[status(esa)],[f5_nnf]) ).

cnf(c5,plain,
    ( ~ p_5
    | p_4
    | ~ p_3
    | p_2
    | p_1 ),
    inference(cnf_transformation,[status(esa)],[f5_sk]) ).

cnf(p65,plain,
    ( ~ p_5
    | p_4
    | p_2
    | p_1
    | p_2
    | p_1 ),
    inference(resolution,[status(thm)],[p63,c5]) ).

cnf(p71,plain,
    ( ~ p_5
    | p_4
    | p_2
    | p_2
    | p_1 ),
    inference(factoring,[status(thm)],[p65]) ).

cnf(p73,plain,
    ( ~ p_5
    | p_4
    | p_2
    | p_1 ),
    inference(factoring,[status(thm)],[p71]) ).

cnf(f4,negated_conjecture,
    ( p_5
    | p_4
    | ~ p_3
    | p_2
    | p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppnpp) ).

fof(f4_nnf,plain,
    ( p_5
    | p_4
    | ~ p_3
    | p_2
    | p_1 ),
    inference(nnf_transformation,[status(thm)],[f4]) ).

fof(f4_sk,plain,
    ( p_5
    | p_4
    | ~ p_3
    | p_2
    | p_1 ),
    inference(skolemisation,[status(esa)],[f4_nnf]) ).

cnf(c4,plain,
    ( p_5
    | p_4
    | ~ p_3
    | p_2
    | p_1 ),
    inference(cnf_transformation,[status(esa)],[f4_sk]) ).

cnf(p64,plain,
    ( p_5
    | p_4
    | p_2
    | p_1
    | p_2
    | p_1 ),
    inference(resolution,[status(thm)],[p63,c4]) ).

cnf(p68,plain,
    ( p_5
    | p_4
    | p_2
    | p_2
    | p_1 ),
    inference(factoring,[status(thm)],[p64]) ).

cnf(p70,plain,
    ( p_5
    | p_4
    | p_2
    | p_1 ),
    inference(factoring,[status(thm)],[p68]) ).

cnf(p76,plain,
    ( p_4
    | p_2
    | p_1
    | p_4
    | p_2
    | p_1 ),
    inference(resolution,[status(thm)],[p73,p70]) ).

cnf(p80,plain,
    ( p_4
    | p_2
    | p_4
    | p_2
    | p_1 ),
    inference(factoring,[status(thm)],[p76]) ).

cnf(p84,plain,
    ( p_4
    | p_4
    | p_2
    | p_1 ),
    inference(factoring,[status(thm)],[p80]) ).

cnf(p86,plain,
    ( p_4
    | p_2
    | p_1 ),
    inference(factoring,[status(thm)],[p84]) ).

cnf(f7,negated_conjecture,
    ( ~ p_5
    | ~ p_4
    | ~ p_3
    | p_2
    | p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppnnn) ).

fof(f7_nnf,plain,
    ( ~ p_5
    | ~ p_4
    | ~ p_3
    | p_2
    | p_1 ),
    inference(nnf_transformation,[status(thm)],[f7]) ).

fof(f7_sk,plain,
    ( ~ p_5
    | ~ p_4
    | ~ p_3
    | p_2
    | p_1 ),
    inference(skolemisation,[status(esa)],[f7_nnf]) ).

cnf(c7,plain,
    ( ~ p_5
    | ~ p_4
    | ~ p_3
    | p_2
    | p_1 ),
    inference(cnf_transformation,[status(esa)],[f7_sk]) ).

cnf(p67,plain,
    ( ~ p_5
    | ~ p_4
    | p_2
    | p_1
    | p_2
    | p_1 ),
    inference(resolution,[status(thm)],[p63,c7]) ).

cnf(p78,plain,
    ( ~ p_5
    | ~ p_4
    | p_2
    | p_2
    | p_1 ),
    inference(factoring,[status(thm)],[p67]) ).

cnf(p83,plain,
    ( ~ p_5
    | ~ p_4
    | p_2
    | p_1 ),
    inference(factoring,[status(thm)],[p78]) ).

cnf(p88,plain,
    ( ~ p_5
    | p_2
    | p_1
    | p_2
    | p_1 ),
    inference(resolution,[status(thm)],[p86,p83]) ).

cnf(p92,plain,
    ( ~ p_5
    | p_2
    | p_2
    | p_1 ),
    inference(factoring,[status(thm)],[p88]) ).

cnf(p94,plain,
    ( ~ p_5
    | p_2
    | p_1 ),
    inference(factoring,[status(thm)],[p92]) ).

cnf(f6,negated_conjecture,
    ( p_5
    | ~ p_4
    | ~ p_3
    | p_2
    | p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppnnp) ).

fof(f6_nnf,plain,
    ( p_5
    | ~ p_4
    | ~ p_3
    | p_2
    | p_1 ),
    inference(nnf_transformation,[status(thm)],[f6]) ).

fof(f6_sk,plain,
    ( p_5
    | ~ p_4
    | ~ p_3
    | p_2
    | p_1 ),
    inference(skolemisation,[status(esa)],[f6_nnf]) ).

cnf(c6,plain,
    ( p_5
    | ~ p_4
    | ~ p_3
    | p_2
    | p_1 ),
    inference(cnf_transformation,[status(esa)],[f6_sk]) ).

cnf(p66,plain,
    ( p_5
    | ~ p_4
    | p_2
    | p_1
    | p_2
    | p_1 ),
    inference(resolution,[status(thm)],[p63,c6]) ).

cnf(p74,plain,
    ( p_5
    | ~ p_4
    | p_2
    | p_2
    | p_1 ),
    inference(factoring,[status(thm)],[p66]) ).

cnf(p77,plain,
    ( p_5
    | ~ p_4
    | p_2
    | p_1 ),
    inference(factoring,[status(thm)],[p74]) ).

cnf(p87,plain,
    ( p_5
    | p_2
    | p_1
    | p_2
    | p_1 ),
    inference(resolution,[status(thm)],[p86,p77]) ).

cnf(p89,plain,
    ( p_5
    | p_2
    | p_2
    | p_1 ),
    inference(factoring,[status(thm)],[p87]) ).

cnf(p91,plain,
    ( p_5
    | p_2
    | p_1 ),
    inference(factoring,[status(thm)],[p89]) ).

cnf(p95,plain,
    ( p_2
    | p_1
    | p_2
    | p_1 ),
    inference(resolution,[status(thm)],[p94,p91]) ).

cnf(p96,plain,
    ( p_2
    | p_2
    | p_1 ),
    inference(factoring,[status(thm)],[p95]) ).

cnf(p98,plain,
    ( p_2
    | p_1 ),
    inference(factoring,[status(thm)],[p96]) ).

cnf(f9,negated_conjecture,
    ( ~ p_5
    | p_4
    | p_3
    | ~ p_2
    | p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnppn) ).

fof(f9_nnf,plain,
    ( ~ p_5
    | p_4
    | p_3
    | ~ p_2
    | p_1 ),
    inference(nnf_transformation,[status(thm)],[f9]) ).

fof(f9_sk,plain,
    ( ~ p_5
    | p_4
    | p_3
    | ~ p_2
    | p_1 ),
    inference(skolemisation,[status(esa)],[f9_nnf]) ).

cnf(c9,plain,
    ( ~ p_5
    | p_4
    | p_3
    | ~ p_2
    | p_1 ),
    inference(cnf_transformation,[status(esa)],[f9_sk]) ).

cnf(p100,plain,
    ( ~ p_5
    | p_4
    | p_3
    | p_1
    | p_1 ),
    inference(resolution,[status(thm)],[p98,c9]) ).

cnf(p108,plain,
    ( ~ p_5
    | p_4
    | p_3
    | p_1 ),
    inference(factoring,[status(thm)],[p100]) ).

cnf(f8,negated_conjecture,
    ( p_5
    | p_4
    | p_3
    | ~ p_2
    | p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnppp) ).

fof(f8_nnf,plain,
    ( p_5
    | p_4
    | p_3
    | ~ p_2
    | p_1 ),
    inference(nnf_transformation,[status(thm)],[f8]) ).

fof(f8_sk,plain,
    ( p_5
    | p_4
    | p_3
    | ~ p_2
    | p_1 ),
    inference(skolemisation,[status(esa)],[f8_nnf]) ).

cnf(c8,plain,
    ( p_5
    | p_4
    | p_3
    | ~ p_2
    | p_1 ),
    inference(cnf_transformation,[status(esa)],[f8_sk]) ).

cnf(p99,plain,
    ( p_5
    | p_4
    | p_3
    | p_1
    | p_1 ),
    inference(resolution,[status(thm)],[p98,c8]) ).

cnf(p107,plain,
    ( p_5
    | p_4
    | p_3
    | p_1 ),
    inference(factoring,[status(thm)],[p99]) ).

cnf(p109,plain,
    ( p_4
    | p_3
    | p_1
    | p_4
    | p_3
    | p_1 ),
    inference(resolution,[status(thm)],[p108,p107]) ).

cnf(p116,plain,
    ( p_4
    | p_3
    | p_4
    | p_3
    | p_1 ),
    inference(factoring,[status(thm)],[p109]) ).

cnf(p119,plain,
    ( p_4
    | p_4
    | p_3
    | p_1 ),
    inference(factoring,[status(thm)],[p116]) ).

cnf(p121,plain,
    ( p_4
    | p_3
    | p_1 ),
    inference(factoring,[status(thm)],[p119]) ).

cnf(f11,negated_conjecture,
    ( ~ p_5
    | ~ p_4
    | p_3
    | ~ p_2
    | p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnpnn) ).

fof(f11_nnf,plain,
    ( ~ p_5
    | ~ p_4
    | p_3
    | ~ p_2
    | p_1 ),
    inference(nnf_transformation,[status(thm)],[f11]) ).

fof(f11_sk,plain,
    ( ~ p_5
    | ~ p_4
    | p_3
    | ~ p_2
    | p_1 ),
    inference(skolemisation,[status(esa)],[f11_nnf]) ).

cnf(c11,plain,
    ( ~ p_5
    | ~ p_4
    | p_3
    | ~ p_2
    | p_1 ),
    inference(cnf_transformation,[status(esa)],[f11_sk]) ).

cnf(p102,plain,
    ( ~ p_5
    | ~ p_4
    | p_3
    | p_1
    | p_1 ),
    inference(resolution,[status(thm)],[p98,c11]) ).

cnf(p111,plain,
    ( ~ p_5
    | ~ p_4
    | p_3
    | p_1 ),
    inference(factoring,[status(thm)],[p102]) ).

cnf(p123,plain,
    ( ~ p_5
    | p_3
    | p_1
    | p_3
    | p_1 ),
    inference(resolution,[status(thm)],[p121,p111]) ).

cnf(p127,plain,
    ( ~ p_5
    | p_3
    | p_3
    | p_1 ),
    inference(factoring,[status(thm)],[p123]) ).

cnf(p129,plain,
    ( ~ p_5
    | p_3
    | p_1 ),
    inference(factoring,[status(thm)],[p127]) ).

cnf(f10,negated_conjecture,
    ( p_5
    | ~ p_4
    | p_3
    | ~ p_2
    | p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnpnp) ).

fof(f10_nnf,plain,
    ( p_5
    | ~ p_4
    | p_3
    | ~ p_2
    | p_1 ),
    inference(nnf_transformation,[status(thm)],[f10]) ).

fof(f10_sk,plain,
    ( p_5
    | ~ p_4
    | p_3
    | ~ p_2
    | p_1 ),
    inference(skolemisation,[status(esa)],[f10_nnf]) ).

cnf(c10,plain,
    ( p_5
    | ~ p_4
    | p_3
    | ~ p_2
    | p_1 ),
    inference(cnf_transformation,[status(esa)],[f10_sk]) ).

cnf(p101,plain,
    ( p_5
    | ~ p_4
    | p_3
    | p_1
    | p_1 ),
    inference(resolution,[status(thm)],[p98,c10]) ).

cnf(p110,plain,
    ( p_5
    | ~ p_4
    | p_3
    | p_1 ),
    inference(factoring,[status(thm)],[p101]) ).

cnf(p122,plain,
    ( p_5
    | p_3
    | p_1
    | p_3
    | p_1 ),
    inference(resolution,[status(thm)],[p121,p110]) ).

cnf(p124,plain,
    ( p_5
    | p_3
    | p_3
    | p_1 ),
    inference(factoring,[status(thm)],[p122]) ).

cnf(p126,plain,
    ( p_5
    | p_3
    | p_1 ),
    inference(factoring,[status(thm)],[p124]) ).

cnf(p130,plain,
    ( p_3
    | p_1
    | p_3
    | p_1 ),
    inference(resolution,[status(thm)],[p129,p126]) ).

cnf(p131,plain,
    ( p_3
    | p_3
    | p_1 ),
    inference(factoring,[status(thm)],[p130]) ).

cnf(p133,plain,
    ( p_3
    | p_1 ),
    inference(factoring,[status(thm)],[p131]) ).

cnf(f13,negated_conjecture,
    ( ~ p_5
    | p_4
    | ~ p_3
    | ~ p_2
    | p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnnpn) ).

fof(f13_nnf,plain,
    ( ~ p_5
    | p_4
    | ~ p_3
    | ~ p_2
    | p_1 ),
    inference(nnf_transformation,[status(thm)],[f13]) ).

fof(f13_sk,plain,
    ( ~ p_5
    | p_4
    | ~ p_3
    | ~ p_2
    | p_1 ),
    inference(skolemisation,[status(esa)],[f13_nnf]) ).

cnf(c13,plain,
    ( ~ p_5
    | p_4
    | ~ p_3
    | ~ p_2
    | p_1 ),
    inference(cnf_transformation,[status(esa)],[f13_sk]) ).

cnf(p104,plain,
    ( ~ p_5
    | p_4
    | ~ p_3
    | p_1
    | p_1 ),
    inference(resolution,[status(thm)],[p98,c13]) ).

cnf(p113,plain,
    ( ~ p_5
    | p_4
    | ~ p_3
    | p_1 ),
    inference(factoring,[status(thm)],[p104]) ).

cnf(p135,plain,
    ( ~ p_5
    | p_4
    | p_1
    | p_1 ),
    inference(resolution,[status(thm)],[p133,p113]) ).

cnf(p139,plain,
    ( ~ p_5
    | p_4
    | p_1 ),
    inference(factoring,[status(thm)],[p135]) ).

cnf(f12,negated_conjecture,
    ( p_5
    | p_4
    | ~ p_3
    | ~ p_2
    | p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnnpp) ).

fof(f12_nnf,plain,
    ( p_5
    | p_4
    | ~ p_3
    | ~ p_2
    | p_1 ),
    inference(nnf_transformation,[status(thm)],[f12]) ).

fof(f12_sk,plain,
    ( p_5
    | p_4
    | ~ p_3
    | ~ p_2
    | p_1 ),
    inference(skolemisation,[status(esa)],[f12_nnf]) ).

cnf(c12,plain,
    ( p_5
    | p_4
    | ~ p_3
    | ~ p_2
    | p_1 ),
    inference(cnf_transformation,[status(esa)],[f12_sk]) ).

cnf(p103,plain,
    ( p_5
    | p_4
    | ~ p_3
    | p_1
    | p_1 ),
    inference(resolution,[status(thm)],[p98,c12]) ).

cnf(p112,plain,
    ( p_5
    | p_4
    | ~ p_3
    | p_1 ),
    inference(factoring,[status(thm)],[p103]) ).

cnf(p134,plain,
    ( p_5
    | p_4
    | p_1
    | p_1 ),
    inference(resolution,[status(thm)],[p133,p112]) ).

cnf(p138,plain,
    ( p_5
    | p_4
    | p_1 ),
    inference(factoring,[status(thm)],[p134]) ).

cnf(p140,plain,
    ( p_4
    | p_1
    | p_4
    | p_1 ),
    inference(resolution,[status(thm)],[p139,p138]) ).

cnf(p143,plain,
    ( p_4
    | p_4
    | p_1 ),
    inference(factoring,[status(thm)],[p140]) ).

cnf(p145,plain,
    ( p_4
    | p_1 ),
    inference(factoring,[status(thm)],[p143]) ).

cnf(f15,negated_conjecture,
    ( ~ p_5
    | ~ p_4
    | ~ p_3
    | ~ p_2
    | p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnnnn) ).

fof(f15_nnf,plain,
    ( ~ p_5
    | ~ p_4
    | ~ p_3
    | ~ p_2
    | p_1 ),
    inference(nnf_transformation,[status(thm)],[f15]) ).

fof(f15_sk,plain,
    ( ~ p_5
    | ~ p_4
    | ~ p_3
    | ~ p_2
    | p_1 ),
    inference(skolemisation,[status(esa)],[f15_nnf]) ).

cnf(c15,plain,
    ( ~ p_5
    | ~ p_4
    | ~ p_3
    | ~ p_2
    | p_1 ),
    inference(cnf_transformation,[status(esa)],[f15_sk]) ).

cnf(p106,plain,
    ( ~ p_5
    | ~ p_4
    | ~ p_3
    | p_1
    | p_1 ),
    inference(resolution,[status(thm)],[p98,c15]) ).

cnf(p115,plain,
    ( ~ p_5
    | ~ p_4
    | ~ p_3
    | p_1 ),
    inference(factoring,[status(thm)],[p106]) ).

cnf(p137,plain,
    ( ~ p_5
    | ~ p_4
    | p_1
    | p_1 ),
    inference(resolution,[status(thm)],[p133,p115]) ).

cnf(p142,plain,
    ( ~ p_5
    | ~ p_4
    | p_1 ),
    inference(factoring,[status(thm)],[p137]) ).

cnf(p147,plain,
    ( ~ p_5
    | p_1
    | p_1 ),
    inference(resolution,[status(thm)],[p145,p142]) ).

cnf(p149,plain,
    ( ~ p_5
    | p_1 ),
    inference(factoring,[status(thm)],[p147]) ).

cnf(f14,negated_conjecture,
    ( p_5
    | ~ p_4
    | ~ p_3
    | ~ p_2
    | p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnnnp) ).

fof(f14_nnf,plain,
    ( p_5
    | ~ p_4
    | ~ p_3
    | ~ p_2
    | p_1 ),
    inference(nnf_transformation,[status(thm)],[f14]) ).

fof(f14_sk,plain,
    ( p_5
    | ~ p_4
    | ~ p_3
    | ~ p_2
    | p_1 ),
    inference(skolemisation,[status(esa)],[f14_nnf]) ).

cnf(c14,plain,
    ( p_5
    | ~ p_4
    | ~ p_3
    | ~ p_2
    | p_1 ),
    inference(cnf_transformation,[status(esa)],[f14_sk]) ).

cnf(p105,plain,
    ( p_5
    | ~ p_4
    | ~ p_3
    | p_1
    | p_1 ),
    inference(resolution,[status(thm)],[p98,c14]) ).

cnf(p114,plain,
    ( p_5
    | ~ p_4
    | ~ p_3
    | p_1 ),
    inference(factoring,[status(thm)],[p105]) ).

cnf(p136,plain,
    ( p_5
    | ~ p_4
    | p_1
    | p_1 ),
    inference(resolution,[status(thm)],[p133,p114]) ).

cnf(p141,plain,
    ( p_5
    | ~ p_4
    | p_1 ),
    inference(factoring,[status(thm)],[p136]) ).

cnf(p146,plain,
    ( p_5
    | p_1
    | p_1 ),
    inference(resolution,[status(thm)],[p145,p141]) ).

cnf(p148,plain,
    ( p_5
    | p_1 ),
    inference(factoring,[status(thm)],[p146]) ).

cnf(p150,plain,
    ( p_1
    | p_1 ),
    inference(resolution,[status(thm)],[p149,p148]) ).

cnf(p151,plain,
    p_1,
    inference(factoring,[status(thm)],[p150]) ).

cnf(f17,negated_conjecture,
    ( ~ p_5
    | p_4
    | p_3
    | p_2
    | ~ p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',npppn) ).

fof(f17_nnf,plain,
    ( ~ p_5
    | p_4
    | p_3
    | p_2
    | ~ p_1 ),
    inference(nnf_transformation,[status(thm)],[f17]) ).

fof(f17_sk,plain,
    ( ~ p_5
    | p_4
    | p_3
    | p_2
    | ~ p_1 ),
    inference(skolemisation,[status(esa)],[f17_nnf]) ).

cnf(c17,plain,
    ( ~ p_5
    | p_4
    | p_3
    | p_2
    | ~ p_1 ),
    inference(cnf_transformation,[status(esa)],[f17_sk]) ).

cnf(p153,plain,
    ( ~ p_5
    | p_4
    | p_3
    | p_2 ),
    inference(resolution,[status(thm)],[p151,c17]) ).

cnf(f16,negated_conjecture,
    ( p_5
    | p_4
    | p_3
    | p_2
    | ~ p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',npppp) ).

fof(f16_nnf,plain,
    ( p_5
    | p_4
    | p_3
    | p_2
    | ~ p_1 ),
    inference(nnf_transformation,[status(thm)],[f16]) ).

fof(f16_sk,plain,
    ( p_5
    | p_4
    | p_3
    | p_2
    | ~ p_1 ),
    inference(skolemisation,[status(esa)],[f16_nnf]) ).

cnf(c16,plain,
    ( p_5
    | p_4
    | p_3
    | p_2
    | ~ p_1 ),
    inference(cnf_transformation,[status(esa)],[f16_sk]) ).

cnf(p152,plain,
    ( p_5
    | p_4
    | p_3
    | p_2 ),
    inference(resolution,[status(thm)],[p151,c16]) ).

cnf(p168,plain,
    ( p_4
    | p_3
    | p_2
    | p_4
    | p_3
    | p_2 ),
    inference(resolution,[status(thm)],[p153,p152]) ).

cnf(p169,plain,
    ( p_4
    | p_3
    | p_4
    | p_3
    | p_2 ),
    inference(factoring,[status(thm)],[p168]) ).

cnf(p172,plain,
    ( p_4
    | p_4
    | p_3
    | p_2 ),
    inference(factoring,[status(thm)],[p169]) ).

cnf(p174,plain,
    ( p_4
    | p_3
    | p_2 ),
    inference(factoring,[status(thm)],[p172]) ).

cnf(f19,negated_conjecture,
    ( ~ p_5
    | ~ p_4
    | p_3
    | p_2
    | ~ p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nppnn) ).

fof(f19_nnf,plain,
    ( ~ p_5
    | ~ p_4
    | p_3
    | p_2
    | ~ p_1 ),
    inference(nnf_transformation,[status(thm)],[f19]) ).

fof(f19_sk,plain,
    ( ~ p_5
    | ~ p_4
    | p_3
    | p_2
    | ~ p_1 ),
    inference(skolemisation,[status(esa)],[f19_nnf]) ).

cnf(c19,plain,
    ( ~ p_5
    | ~ p_4
    | p_3
    | p_2
    | ~ p_1 ),
    inference(cnf_transformation,[status(esa)],[f19_sk]) ).

cnf(p155,plain,
    ( ~ p_5
    | ~ p_4
    | p_3
    | p_2 ),
    inference(resolution,[status(thm)],[p151,c19]) ).

cnf(p176,plain,
    ( ~ p_5
    | p_3
    | p_2
    | p_3
    | p_2 ),
    inference(resolution,[status(thm)],[p174,p155]) ).

cnf(p180,plain,
    ( ~ p_5
    | p_3
    | p_3
    | p_2 ),
    inference(factoring,[status(thm)],[p176]) ).

cnf(p182,plain,
    ( ~ p_5
    | p_3
    | p_2 ),
    inference(factoring,[status(thm)],[p180]) ).

cnf(f18,negated_conjecture,
    ( p_5
    | ~ p_4
    | p_3
    | p_2
    | ~ p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nppnp) ).

fof(f18_nnf,plain,
    ( p_5
    | ~ p_4
    | p_3
    | p_2
    | ~ p_1 ),
    inference(nnf_transformation,[status(thm)],[f18]) ).

fof(f18_sk,plain,
    ( p_5
    | ~ p_4
    | p_3
    | p_2
    | ~ p_1 ),
    inference(skolemisation,[status(esa)],[f18_nnf]) ).

cnf(c18,plain,
    ( p_5
    | ~ p_4
    | p_3
    | p_2
    | ~ p_1 ),
    inference(cnf_transformation,[status(esa)],[f18_sk]) ).

cnf(p154,plain,
    ( p_5
    | ~ p_4
    | p_3
    | p_2 ),
    inference(resolution,[status(thm)],[p151,c18]) ).

cnf(p175,plain,
    ( p_5
    | p_3
    | p_2
    | p_3
    | p_2 ),
    inference(resolution,[status(thm)],[p174,p154]) ).

cnf(p177,plain,
    ( p_5
    | p_3
    | p_3
    | p_2 ),
    inference(factoring,[status(thm)],[p175]) ).

cnf(p179,plain,
    ( p_5
    | p_3
    | p_2 ),
    inference(factoring,[status(thm)],[p177]) ).

cnf(p183,plain,
    ( p_3
    | p_2
    | p_3
    | p_2 ),
    inference(resolution,[status(thm)],[p182,p179]) ).

cnf(p184,plain,
    ( p_3
    | p_3
    | p_2 ),
    inference(factoring,[status(thm)],[p183]) ).

cnf(p186,plain,
    ( p_3
    | p_2 ),
    inference(factoring,[status(thm)],[p184]) ).

cnf(f21,negated_conjecture,
    ( ~ p_5
    | p_4
    | ~ p_3
    | p_2
    | ~ p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',npnpn) ).

fof(f21_nnf,plain,
    ( ~ p_5
    | p_4
    | ~ p_3
    | p_2
    | ~ p_1 ),
    inference(nnf_transformation,[status(thm)],[f21]) ).

fof(f21_sk,plain,
    ( ~ p_5
    | p_4
    | ~ p_3
    | p_2
    | ~ p_1 ),
    inference(skolemisation,[status(esa)],[f21_nnf]) ).

cnf(c21,plain,
    ( ~ p_5
    | p_4
    | ~ p_3
    | p_2
    | ~ p_1 ),
    inference(cnf_transformation,[status(esa)],[f21_sk]) ).

cnf(p157,plain,
    ( ~ p_5
    | p_4
    | ~ p_3
    | p_2 ),
    inference(resolution,[status(thm)],[p151,c21]) ).

cnf(p188,plain,
    ( ~ p_5
    | p_4
    | p_2
    | p_2 ),
    inference(resolution,[status(thm)],[p186,p157]) ).

cnf(p192,plain,
    ( ~ p_5
    | p_4
    | p_2 ),
    inference(factoring,[status(thm)],[p188]) ).

cnf(f20,negated_conjecture,
    ( p_5
    | p_4
    | ~ p_3
    | p_2
    | ~ p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',npnpp) ).

fof(f20_nnf,plain,
    ( p_5
    | p_4
    | ~ p_3
    | p_2
    | ~ p_1 ),
    inference(nnf_transformation,[status(thm)],[f20]) ).

fof(f20_sk,plain,
    ( p_5
    | p_4
    | ~ p_3
    | p_2
    | ~ p_1 ),
    inference(skolemisation,[status(esa)],[f20_nnf]) ).

cnf(c20,plain,
    ( p_5
    | p_4
    | ~ p_3
    | p_2
    | ~ p_1 ),
    inference(cnf_transformation,[status(esa)],[f20_sk]) ).

cnf(p156,plain,
    ( p_5
    | p_4
    | ~ p_3
    | p_2 ),
    inference(resolution,[status(thm)],[p151,c20]) ).

cnf(p187,plain,
    ( p_5
    | p_4
    | p_2
    | p_2 ),
    inference(resolution,[status(thm)],[p186,p156]) ).

cnf(p191,plain,
    ( p_5
    | p_4
    | p_2 ),
    inference(factoring,[status(thm)],[p187]) ).

cnf(p193,plain,
    ( p_4
    | p_2
    | p_4
    | p_2 ),
    inference(resolution,[status(thm)],[p192,p191]) ).

cnf(p196,plain,
    ( p_4
    | p_4
    | p_2 ),
    inference(factoring,[status(thm)],[p193]) ).

cnf(p198,plain,
    ( p_4
    | p_2 ),
    inference(factoring,[status(thm)],[p196]) ).

cnf(f23,negated_conjecture,
    ( ~ p_5
    | ~ p_4
    | ~ p_3
    | p_2
    | ~ p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',npnnn) ).

fof(f23_nnf,plain,
    ( ~ p_5
    | ~ p_4
    | ~ p_3
    | p_2
    | ~ p_1 ),
    inference(nnf_transformation,[status(thm)],[f23]) ).

fof(f23_sk,plain,
    ( ~ p_5
    | ~ p_4
    | ~ p_3
    | p_2
    | ~ p_1 ),
    inference(skolemisation,[status(esa)],[f23_nnf]) ).

cnf(c23,plain,
    ( ~ p_5
    | ~ p_4
    | ~ p_3
    | p_2
    | ~ p_1 ),
    inference(cnf_transformation,[status(esa)],[f23_sk]) ).

cnf(p159,plain,
    ( ~ p_5
    | ~ p_4
    | ~ p_3
    | p_2 ),
    inference(resolution,[status(thm)],[p151,c23]) ).

cnf(p190,plain,
    ( ~ p_5
    | ~ p_4
    | p_2
    | p_2 ),
    inference(resolution,[status(thm)],[p186,p159]) ).

cnf(p195,plain,
    ( ~ p_5
    | ~ p_4
    | p_2 ),
    inference(factoring,[status(thm)],[p190]) ).

cnf(p200,plain,
    ( ~ p_5
    | p_2
    | p_2 ),
    inference(resolution,[status(thm)],[p198,p195]) ).

cnf(p202,plain,
    ( ~ p_5
    | p_2 ),
    inference(factoring,[status(thm)],[p200]) ).

cnf(f22,negated_conjecture,
    ( p_5
    | ~ p_4
    | ~ p_3
    | p_2
    | ~ p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',npnnp) ).

fof(f22_nnf,plain,
    ( p_5
    | ~ p_4
    | ~ p_3
    | p_2
    | ~ p_1 ),
    inference(nnf_transformation,[status(thm)],[f22]) ).

fof(f22_sk,plain,
    ( p_5
    | ~ p_4
    | ~ p_3
    | p_2
    | ~ p_1 ),
    inference(skolemisation,[status(esa)],[f22_nnf]) ).

cnf(c22,plain,
    ( p_5
    | ~ p_4
    | ~ p_3
    | p_2
    | ~ p_1 ),
    inference(cnf_transformation,[status(esa)],[f22_sk]) ).

cnf(p158,plain,
    ( p_5
    | ~ p_4
    | ~ p_3
    | p_2 ),
    inference(resolution,[status(thm)],[p151,c22]) ).

cnf(p189,plain,
    ( p_5
    | ~ p_4
    | p_2
    | p_2 ),
    inference(resolution,[status(thm)],[p186,p158]) ).

cnf(p194,plain,
    ( p_5
    | ~ p_4
    | p_2 ),
    inference(factoring,[status(thm)],[p189]) ).

cnf(p199,plain,
    ( p_5
    | p_2
    | p_2 ),
    inference(resolution,[status(thm)],[p198,p194]) ).

cnf(p201,plain,
    ( p_5
    | p_2 ),
    inference(factoring,[status(thm)],[p199]) ).

cnf(p203,plain,
    ( p_2
    | p_2 ),
    inference(resolution,[status(thm)],[p202,p201]) ).

cnf(p204,plain,
    p_2,
    inference(factoring,[status(thm)],[p203]) ).

cnf(f25,negated_conjecture,
    ( ~ p_5
    | p_4
    | p_3
    | ~ p_2
    | ~ p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnppn) ).

fof(f25_nnf,plain,
    ( ~ p_5
    | p_4
    | p_3
    | ~ p_2
    | ~ p_1 ),
    inference(nnf_transformation,[status(thm)],[f25]) ).

fof(f25_sk,plain,
    ( ~ p_5
    | p_4
    | p_3
    | ~ p_2
    | ~ p_1 ),
    inference(skolemisation,[status(esa)],[f25_nnf]) ).

cnf(c25,plain,
    ( ~ p_5
    | p_4
    | p_3
    | ~ p_2
    | ~ p_1 ),
    inference(cnf_transformation,[status(esa)],[f25_sk]) ).

cnf(p161,plain,
    ( ~ p_5
    | p_4
    | p_3
    | ~ p_2 ),
    inference(resolution,[status(thm)],[p151,c25]) ).

cnf(p206,plain,
    ( ~ p_5
    | p_4
    | p_3 ),
    inference(resolution,[status(thm)],[p204,p161]) ).

cnf(f24,negated_conjecture,
    ( p_5
    | p_4
    | p_3
    | ~ p_2
    | ~ p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnppp) ).

fof(f24_nnf,plain,
    ( p_5
    | p_4
    | p_3
    | ~ p_2
    | ~ p_1 ),
    inference(nnf_transformation,[status(thm)],[f24]) ).

fof(f24_sk,plain,
    ( p_5
    | p_4
    | p_3
    | ~ p_2
    | ~ p_1 ),
    inference(skolemisation,[status(esa)],[f24_nnf]) ).

cnf(c24,plain,
    ( p_5
    | p_4
    | p_3
    | ~ p_2
    | ~ p_1 ),
    inference(cnf_transformation,[status(esa)],[f24_sk]) ).

cnf(p160,plain,
    ( p_5
    | p_4
    | p_3
    | ~ p_2 ),
    inference(resolution,[status(thm)],[p151,c24]) ).

cnf(p205,plain,
    ( p_5
    | p_4
    | p_3 ),
    inference(resolution,[status(thm)],[p204,p160]) ).

cnf(p213,plain,
    ( p_4
    | p_3
    | p_4
    | p_3 ),
    inference(resolution,[status(thm)],[p206,p205]) ).

cnf(p214,plain,
    ( p_4
    | p_4
    | p_3 ),
    inference(factoring,[status(thm)],[p213]) ).

cnf(p216,plain,
    ( p_4
    | p_3 ),
    inference(factoring,[status(thm)],[p214]) ).

cnf(f27,negated_conjecture,
    ( ~ p_5
    | ~ p_4
    | p_3
    | ~ p_2
    | ~ p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnpnn) ).

fof(f27_nnf,plain,
    ( ~ p_5
    | ~ p_4
    | p_3
    | ~ p_2
    | ~ p_1 ),
    inference(nnf_transformation,[status(thm)],[f27]) ).

fof(f27_sk,plain,
    ( ~ p_5
    | ~ p_4
    | p_3
    | ~ p_2
    | ~ p_1 ),
    inference(skolemisation,[status(esa)],[f27_nnf]) ).

cnf(c27,plain,
    ( ~ p_5
    | ~ p_4
    | p_3
    | ~ p_2
    | ~ p_1 ),
    inference(cnf_transformation,[status(esa)],[f27_sk]) ).

cnf(p163,plain,
    ( ~ p_5
    | ~ p_4
    | p_3
    | ~ p_2 ),
    inference(resolution,[status(thm)],[p151,c27]) ).

cnf(p208,plain,
    ( ~ p_5
    | ~ p_4
    | p_3 ),
    inference(resolution,[status(thm)],[p204,p163]) ).

cnf(p218,plain,
    ( ~ p_5
    | p_3
    | p_3 ),
    inference(resolution,[status(thm)],[p216,p208]) ).

cnf(p220,plain,
    ( ~ p_5
    | p_3 ),
    inference(factoring,[status(thm)],[p218]) ).

cnf(f26,negated_conjecture,
    ( p_5
    | ~ p_4
    | p_3
    | ~ p_2
    | ~ p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnpnp) ).

fof(f26_nnf,plain,
    ( p_5
    | ~ p_4
    | p_3
    | ~ p_2
    | ~ p_1 ),
    inference(nnf_transformation,[status(thm)],[f26]) ).

fof(f26_sk,plain,
    ( p_5
    | ~ p_4
    | p_3
    | ~ p_2
    | ~ p_1 ),
    inference(skolemisation,[status(esa)],[f26_nnf]) ).

cnf(c26,plain,
    ( p_5
    | ~ p_4
    | p_3
    | ~ p_2
    | ~ p_1 ),
    inference(cnf_transformation,[status(esa)],[f26_sk]) ).

cnf(p162,plain,
    ( p_5
    | ~ p_4
    | p_3
    | ~ p_2 ),
    inference(resolution,[status(thm)],[p151,c26]) ).

cnf(p207,plain,
    ( p_5
    | ~ p_4
    | p_3 ),
    inference(resolution,[status(thm)],[p204,p162]) ).

cnf(p217,plain,
    ( p_5
    | p_3
    | p_3 ),
    inference(resolution,[status(thm)],[p216,p207]) ).

cnf(p219,plain,
    ( p_5
    | p_3 ),
    inference(factoring,[status(thm)],[p217]) ).

cnf(p221,plain,
    ( p_3
    | p_3 ),
    inference(resolution,[status(thm)],[p220,p219]) ).

cnf(p222,plain,
    p_3,
    inference(factoring,[status(thm)],[p221]) ).

cnf(f29,negated_conjecture,
    ( ~ p_5
    | p_4
    | ~ p_3
    | ~ p_2
    | ~ p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnnpn) ).

fof(f29_nnf,plain,
    ( ~ p_5
    | p_4
    | ~ p_3
    | ~ p_2
    | ~ p_1 ),
    inference(nnf_transformation,[status(thm)],[f29]) ).

fof(f29_sk,plain,
    ( ~ p_5
    | p_4
    | ~ p_3
    | ~ p_2
    | ~ p_1 ),
    inference(skolemisation,[status(esa)],[f29_nnf]) ).

cnf(c29,plain,
    ( ~ p_5
    | p_4
    | ~ p_3
    | ~ p_2
    | ~ p_1 ),
    inference(cnf_transformation,[status(esa)],[f29_sk]) ).

cnf(p165,plain,
    ( ~ p_5
    | p_4
    | ~ p_3
    | ~ p_2 ),
    inference(resolution,[status(thm)],[p151,c29]) ).

cnf(p210,plain,
    ( ~ p_5
    | p_4
    | ~ p_3 ),
    inference(resolution,[status(thm)],[p204,p165]) ).

cnf(p224,plain,
    ( ~ p_5
    | p_4 ),
    inference(resolution,[status(thm)],[p222,p210]) ).

cnf(f28,negated_conjecture,
    ( p_5
    | p_4
    | ~ p_3
    | ~ p_2
    | ~ p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnnpp) ).

fof(f28_nnf,plain,
    ( p_5
    | p_4
    | ~ p_3
    | ~ p_2
    | ~ p_1 ),
    inference(nnf_transformation,[status(thm)],[f28]) ).

fof(f28_sk,plain,
    ( p_5
    | p_4
    | ~ p_3
    | ~ p_2
    | ~ p_1 ),
    inference(skolemisation,[status(esa)],[f28_nnf]) ).

cnf(c28,plain,
    ( p_5
    | p_4
    | ~ p_3
    | ~ p_2
    | ~ p_1 ),
    inference(cnf_transformation,[status(esa)],[f28_sk]) ).

cnf(p164,plain,
    ( p_5
    | p_4
    | ~ p_3
    | ~ p_2 ),
    inference(resolution,[status(thm)],[p151,c28]) ).

cnf(p209,plain,
    ( p_5
    | p_4
    | ~ p_3 ),
    inference(resolution,[status(thm)],[p204,p164]) ).

cnf(p223,plain,
    ( p_5
    | p_4 ),
    inference(resolution,[status(thm)],[p222,p209]) ).

cnf(p227,plain,
    ( p_4
    | p_4 ),
    inference(resolution,[status(thm)],[p224,p223]) ).

cnf(p228,plain,
    p_4,
    inference(factoring,[status(thm)],[p227]) ).

cnf(f31,negated_conjecture,
    ( ~ p_5
    | ~ p_4
    | ~ p_3
    | ~ p_2
    | ~ p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnnnn) ).

fof(f31_nnf,plain,
    ( ~ p_5
    | ~ p_4
    | ~ p_3
    | ~ p_2
    | ~ p_1 ),
    inference(nnf_transformation,[status(thm)],[f31]) ).

fof(f31_sk,plain,
    ( ~ p_5
    | ~ p_4
    | ~ p_3
    | ~ p_2
    | ~ p_1 ),
    inference(skolemisation,[status(esa)],[f31_nnf]) ).

cnf(c31,plain,
    ( ~ p_5
    | ~ p_4
    | ~ p_3
    | ~ p_2
    | ~ p_1 ),
    inference(cnf_transformation,[status(esa)],[f31_sk]) ).

cnf(p167,plain,
    ( ~ p_5
    | ~ p_4
    | ~ p_3
    | ~ p_2 ),
    inference(resolution,[status(thm)],[p151,c31]) ).

cnf(p212,plain,
    ( ~ p_5
    | ~ p_4
    | ~ p_3 ),
    inference(resolution,[status(thm)],[p204,p167]) ).

cnf(p226,plain,
    ( ~ p_5
    | ~ p_4 ),
    inference(resolution,[status(thm)],[p222,p212]) ).

cnf(p230,plain,
    ~ p_5,
    inference(resolution,[status(thm)],[p228,p226]) ).

cnf(f30,negated_conjecture,
    ( p_5
    | ~ p_4
    | ~ p_3
    | ~ p_2
    | ~ p_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnnnp) ).

fof(f30_nnf,plain,
    ( p_5
    | ~ p_4
    | ~ p_3
    | ~ p_2
    | ~ p_1 ),
    inference(nnf_transformation,[status(thm)],[f30]) ).

fof(f30_sk,plain,
    ( p_5
    | ~ p_4
    | ~ p_3
    | ~ p_2
    | ~ p_1 ),
    inference(skolemisation,[status(esa)],[f30_nnf]) ).

cnf(c30,plain,
    ( p_5
    | ~ p_4
    | ~ p_3
    | ~ p_2
    | ~ p_1 ),
    inference(cnf_transformation,[status(esa)],[f30_sk]) ).

cnf(p166,plain,
    ( p_5
    | ~ p_4
    | ~ p_3
    | ~ p_2 ),
    inference(resolution,[status(thm)],[p151,c30]) ).

cnf(p211,plain,
    ( p_5
    | ~ p_4
    | ~ p_3 ),
    inference(resolution,[status(thm)],[p204,p166]) ).

cnf(p225,plain,
    ( p_5
    | ~ p_4 ),
    inference(resolution,[status(thm)],[p222,p211]) ).

cnf(p229,plain,
    p_5,
    inference(resolution,[status(thm)],[p228,p225]) ).

cnf(p231,plain,
    $false,
    inference(resolution,[status(thm)],[p230,p229]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN001-1.005 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.36  % Computer : n005.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Thu Sep 24 23:49:32 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.13/0.36  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.01/0.93  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.01/0.93  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------