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hopCoP---0.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : SYN159-1 : TPTP v9.0.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Jul 25 09:27:01 PM UTC 2025

% Result   : Unsatisfiable 4.79s 1.00s
% Output   : CNFRefutation 4.79s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named prove_this)

% Comments : 
%------------------------------------------------------------------------------
cnf(361,plain,
    ~ n5(a,e),
    inference(cnf,[status(esa)],[prove_this]) ).

cnf(l0,plain,
    ~ n5(a,e),
    inference(instantiation,[status(thm)],[361]) ).

cnf(337,plain,
    ( ~ n4(X0,X1)
    | ~ p4(X2,X2,X3)
    | ~ q4(X4,X1)
    | ~ n5(X2,X3)
    | n5(X0,X3) ),
    inference(cnf,[status(esa)],[rule_307]) ).

cnf(l1,plain,
    ( ~ n4(a,e)
    | ~ p4(e,e,e)
    | ~ q4(e,e)
    | ~ n5(e,e)
    | n5(a,e) ),
    inference(instantiation,[status(thm)],[337]) ).

cnf(311,plain,
    ( ~ p3(X0,X1,X1)
    | ~ n4(X0,X0)
    | n4(X0,X1) ),
    inference(cnf,[status(esa)],[rule_281]) ).

cnf(l2,plain,
    ( ~ p3(a,e,e)
    | ~ n4(a,a)
    | n4(a,e) ),
    inference(instantiation,[status(thm)],[311]) ).

cnf(345,plain,
    ( ~ s1(X0)
    | ~ k4(X0)
    | n5(X0,X0) ),
    inference(cnf,[status(esa)],[rule_315]) ).

cnf(l4,plain,
    ( ~ s1(e)
    | ~ k4(e)
    | n5(e,e) ),
    inference(instantiation,[status(thm)],[345]) ).

cnf(283,plain,
    ( ~ p2(X0,X1,X2)
    | ~ m3(X1,X3,X2)
    | p3(X0,X1,X1) ),
    inference(cnf,[status(esa)],[rule_251]) ).

cnf(l106,plain,
    ( ~ p2(a,e,e)
    | ~ m3(e,e,e)
    | p3(a,e,e) ),
    inference(instantiation,[status(thm)],[283]) ).

cnf(189,plain,
    ( ~ k1(X0)
    | ~ p2(e,X1,X2)
    | p2(X1,X2,X2) ),
    inference(cnf,[status(esa)],[rule_155]) ).

cnf(l174,plain,
    ( ~ k1(b)
    | ~ p2(e,a,e)
    | p2(a,e,e) ),
    inference(instantiation,[status(thm)],[189]) ).

cnf(326,plain,
    ( ~ r1(X0)
    | ~ l4(X1)
    | ~ q4(X1,X2)
    | q4(X0,X0) ),
    inference(cnf,[status(esa)],[rule_296]) ).

cnf(l7,plain,
    ( ~ r1(e)
    | ~ l4(b)
    | ~ q4(b,b)
    | q4(e,e) ),
    inference(instantiation,[status(thm)],[326]) ).

cnf(308,plain,
    ( ~ p3(X0,X1,X2)
    | l4(X2) ),
    inference(cnf,[status(esa)],[rule_277]) ).

cnf(l34,plain,
    ( ~ p3(b,b,b)
    | l4(b) ),
    inference(instantiation,[status(thm)],[308]) ).

cnf(159,plain,
    ( ~ s0(d)
    | ~ q0(X0,X1)
    | ~ q1(d,X1,d)
    | r1(X0) ),
    inference(cnf,[status(esa)],[rule_124]) ).

cnf(l12,plain,
    ( ~ s0(d)
    | ~ q0(e,d)
    | ~ q1(d,d,d)
    | r1(e) ),
    inference(instantiation,[status(thm)],[159]) ).

cnf(314,plain,
    ( ~ m3(X0,X0,X0)
    | ~ k4(X1)
    | n4(X0,X0) ),
    inference(cnf,[status(esa)],[rule_284]) ).

cnf(l13,plain,
    ( ~ m3(a,a,a)
    | ~ k4(c)
    | n4(a,a) ),
    inference(instantiation,[status(thm)],[314]) ).

cnf(306,plain,
    ( ~ n0(c,d)
    | ~ n3(e)
    | ~ q3(e,b)
    | k4(c) ),
    inference(cnf,[status(esa)],[rule_274]) ).

cnf(l60,plain,
    ( ~ n0(c,d)
    | ~ n3(e)
    | ~ q3(e,b)
    | k4(c) ),
    inference(instantiation,[status(thm)],[306]) ).

cnf(38,plain,
    ( ~ n0(X0,X1)
    | k1(X1) ),
    inference(cnf,[status(esa)],[rule_001]) ).

cnf(l257,plain,
    ( ~ n0(d,b)
    | k1(b) ),
    inference(instantiation,[status(thm)],[38]) ).

cnf(6,plain,
    n0(d,b),
    inference(cnf,[status(esa)],[axiom_7]) ).

cnf(l419,plain,
    n0(d,b),
    inference(instantiation,[status(thm)],[6]) ).

cnf(287,plain,
    ( ~ n0(X0,X1)
    | ~ q2(X0,X1,X2)
    | q3(X1,X2) ),
    inference(cnf,[status(esa)],[rule_255]) ).

cnf(l420,plain,
    ( ~ n0(e,e)
    | ~ q2(e,e,b)
    | q3(e,b) ),
    inference(instantiation,[status(thm)],[287]) ).

cnf(257,plain,
    ( ~ m0(X0,X1,X1)
    | ~ m0(X2,X2,X3)
    | ~ l2(X1,X0)
    | ~ s2(X2)
    | m3(X0,X3,X0) ),
    inference(cnf,[status(esa)],[rule_225]) ).

cnf(l55,plain,
    ( ~ m0(a,a,a)
    | ~ m0(a,a,a)
    | ~ l2(a,a)
    | ~ s2(a)
    | m3(a,a,a) ),
    inference(instantiation,[status(thm)],[257]) ).

cnf(325,plain,
    ( ~ q2(X0,X1,X2)
    | ~ k3(X3,X3,X2)
    | ~ m3(X0,X4,X0)
    | q4(X2,X1) ),
    inference(cnf,[status(esa)],[rule_295]) ).

cnf(l10,plain,
    ( ~ q2(b,b,b)
    | ~ k3(b,b,b)
    | ~ m3(b,b,b)
    | q4(b,b) ),
    inference(instantiation,[status(thm)],[325]) ).

cnf(0,plain,
    s0(d),
    inference(cnf,[status(esa)],[axiom_1]) ).

cnf(l16,plain,
    s0(d),
    inference(instantiation,[status(thm)],[0]) ).

cnf(128,plain,
    ( ~ q0(X0,X1)
    | q1(X1,X1,X1) ),
    inference(cnf,[status(esa)],[rule_093]) ).

cnf(l126,plain,
    ( ~ q0(d,d)
    | q1(d,d,d) ),
    inference(instantiation,[status(thm)],[128]) ).

cnf(1,plain,
    q0(e,d),
    inference(cnf,[status(esa)],[axiom_2]) ).

cnf(l98,plain,
    q0(e,d),
    inference(instantiation,[status(thm)],[1]) ).

cnf(168,plain,
    ( ~ p0(X0,X1)
    | ~ m0(X0,X1,X2)
    | ~ m1(X2,X0,X0)
    | l2(X1,X1) ),
    inference(cnf,[status(esa)],[rule_134]) ).

cnf(l452,plain,
    ( ~ p0(b,a)
    | ~ m0(b,a,a)
    | ~ m1(a,b,b)
    | l2(a,a) ),
    inference(instantiation,[status(thm)],[168]) ).

cnf(212,plain,
    ( ~ q0(X0,X1)
    | ~ n1(X0,X1,X2)
    | q2(X1,X1,X1) ),
    inference(cnf,[status(esa)],[rule_178]) ).

cnf(l15,plain,
    ( ~ q0(b,b)
    | ~ n1(b,b,b)
    | q2(b,b,b) ),
    inference(instantiation,[status(thm)],[212]) ).

cnf(11,plain,
    m0(a,X0,a),
    inference(cnf,[status(esa)],[axiom_12]) ).

cnf(l422,plain,
    m0(a,a,a),
    inference(instantiation,[status(thm)],[11]) ).

cnf(264,plain,
    ( ~ l2(X0,X0)
    | ~ n2(X0)
    | m3(X0,X0,X0) ),
    inference(cnf,[status(esa)],[rule_232]) ).

cnf(l445,plain,
    ( ~ l2(b,b)
    | ~ n2(b)
    | m3(b,b,b) ),
    inference(instantiation,[status(thm)],[264]) ).

cnf(272,plain,
    ( ~ p2(X0,X1,X2)
    | n3(X2) ),
    inference(cnf,[status(esa)],[rule_240]) ).

cnf(l428,plain,
    ( ~ p2(e,e,e)
    | n3(e) ),
    inference(instantiation,[status(thm)],[272]) ).

cnf(29,plain,
    n0(e,e),
    inference(cnf,[status(esa)],[axiom_30]) ).

cnf(l429,plain,
    n0(e,e),
    inference(instantiation,[status(thm)],[29]) ).

cnf(88,plain,
    ( ~ s0(X0)
    | ~ p0(X1,X2)
    | ~ m0(X2,X2,X2)
    | ~ k1(X0)
    | n1(X0,X0,X0) ),
    inference(cnf,[status(esa)],[rule_052]) ).

cnf(l156,plain,
    ( ~ s0(b)
    | ~ p0(b,d)
    | ~ m0(d,d,d)
    | ~ k1(b)
    | n1(b,b,b) ),
    inference(instantiation,[status(thm)],[88]) ).

cnf(13,plain,
    p0(b,X0),
    inference(cnf,[status(esa)],[axiom_14]) ).

cnf(l502,plain,
    p0(b,a),
    inference(instantiation,[status(thm)],[13]) ).

cnf(220,plain,
    ( ~ l1(X0,X1)
    | q2(X1,X1,X0) ),
    inference(cnf,[status(esa)],[rule_186]) ).

cnf(l421,plain,
    ( ~ l1(b,e)
    | q2(e,e,b) ),
    inference(instantiation,[status(thm)],[220]) ).

cnf(5,plain,
    q0(b,b),
    inference(cnf,[status(esa)],[axiom_6]) ).

cnf(l78,plain,
    q0(b,b),
    inference(instantiation,[status(thm)],[5]) ).

cnf(18,plain,
    m0(X0,d,X1),
    inference(cnf,[status(esa)],[axiom_19]) ).

cnf(l158,plain,
    m0(d,d,d),
    inference(instantiation,[status(thm)],[18]) ).

cnf(24,plain,
    q0(d,d),
    inference(cnf,[status(esa)],[axiom_25]) ).

cnf(l163,plain,
    q0(d,d),
    inference(instantiation,[status(thm)],[24]) ).

cnf(210,plain,
    ( ~ m1(X0,X1,X0)
    | p2(X1,X0,X1) ),
    inference(cnf,[status(esa)],[rule_176]) ).

cnf(l438,plain,
    ( ~ m1(e,e,e)
    | p2(e,e,e) ),
    inference(instantiation,[status(thm)],[210]) ).

cnf(223,plain,
    ( ~ s1(b)
    | ~ q2(b,X0,b)
    | s2(X0) ),
    inference(cnf,[status(esa)],[rule_189]) ).

cnf(l465,plain,
    ( ~ s1(b)
    | ~ q2(b,a,b)
    | s2(a) ),
    inference(instantiation,[status(thm)],[223]) ).

cnf(l450,plain,
    m0(a,a,a),
    inference(instantiation,[status(thm)],[11]) ).

cnf(37,plain,
    m0(b,a,a),
    inference(cnf,[status(esa)],[axiom_38]) ).

cnf(l457,plain,
    m0(b,a,a),
    inference(instantiation,[status(thm)],[37]) ).

cnf(4,plain,
    s0(b),
    inference(cnf,[status(esa)],[axiom_5]) ).

cnf(l467,plain,
    s0(b),
    inference(instantiation,[status(thm)],[4]) ).

cnf(l609,plain,
    ( ~ n0(e,b)
    | k1(b) ),
    inference(instantiation,[status(thm)],[38]) ).

cnf(171,plain,
    ( ~ p1(X0,X1,X2)
    | n2(X2) ),
    inference(cnf,[status(esa)],[rule_137]) ).

cnf(l472,plain,
    ( ~ p1(e,e,b)
    | n2(b) ),
    inference(instantiation,[status(thm)],[171]) ).

cnf(239,plain,
    ( ~ p2(X0,X1,X1)
    | k3(X1,X0,X1) ),
    inference(cnf,[status(esa)],[rule_206]) ).

cnf(l430,plain,
    ( ~ p2(b,b,b)
    | k3(b,b,b) ),
    inference(instantiation,[status(thm)],[239]) ).

cnf(278,plain,
    ( ~ l2(X0,X0)
    | p3(X0,X0,X0) ),
    inference(cnf,[status(esa)],[rule_246]) ).

cnf(l50,plain,
    ( ~ l2(b,b)
    | p3(b,b,b) ),
    inference(instantiation,[status(thm)],[278]) ).

cnf(33,plain,
    n0(c,d),
    inference(cnf,[status(esa)],[axiom_34]) ).

cnf(l119,plain,
    n0(c,d),
    inference(instantiation,[status(thm)],[33]) ).

cnf(307,plain,
    ( ~ q1(a,a,X0)
    | ~ r3(X1,e,X0)
    | ~ q3(X1,X1)
    | k4(e) ),
    inference(cnf,[status(esa)],[rule_276]) ).

cnf(l432,plain,
    ( ~ q1(a,a,a)
    | ~ r3(a,e,a)
    | ~ q3(a,a)
    | k4(e) ),
    inference(instantiation,[status(thm)],[307]) ).

cnf(321,plain,
    ( ~ p3(X0,X0,X1)
    | p4(X1,X1,X1) ),
    inference(cnf,[status(esa)],[rule_291]) ).

cnf(l3,plain,
    ( ~ p3(e,e,e)
    | p4(e,e,e) ),
    inference(instantiation,[status(thm)],[321]) ).

cnf(304,plain,
    ( ~ k2(X0,X1)
    | ~ r2(X1)
    | ~ r3(X1,X2,X2)
    | r3(X2,X0,X1) ),
    inference(cnf,[status(esa)],[rule_272]) ).

cnf(l436,plain,
    ( ~ k2(e,a)
    | ~ r2(a)
    | ~ r3(a,a,a)
    | r3(a,e,a) ),
    inference(instantiation,[status(thm)],[304]) ).

cnf(99,plain,
    ( ~ n0(d,X0)
    | ~ k0(X1)
    | p1(X0,X0,X1) ),
    inference(cnf,[status(esa)],[rule_063]) ).

cnf(l489,plain,
    ( ~ n0(d,e)
    | ~ k0(b)
    | p1(e,e,b) ),
    inference(instantiation,[status(thm)],[99]) ).

cnf(175,plain,
    ( ~ q1(X0,a,X0)
    | p2(X0,a,X0) ),
    inference(cnf,[status(esa)],[rule_141]) ).

cnf(l198,plain,
    ( ~ q1(e,a,e)
    | p2(e,a,e) ),
    inference(instantiation,[status(thm)],[175]) ).

cnf(222,plain,
    ( ~ l0(X0)
    | ~ r1(X0)
    | r2(X0) ),
    inference(cnf,[status(esa)],[rule_188]) ).

cnf(l481,plain,
    ( ~ l0(a)
    | ~ r1(a)
    | r2(a) ),
    inference(instantiation,[status(thm)],[222]) ).

cnf(167,plain,
    ( ~ p0(X0,X0)
    | ~ m0(X1,X2,X3)
    | ~ s1(X2)
    | l2(X3,X3) ),
    inference(cnf,[status(esa)],[rule_133]) ).

cnf(l488,plain,
    ( ~ p0(b,b)
    | ~ m0(X0_490,d,b)
    | ~ s1(d)
    | l2(b,b) ),
    inference(instantiation,[status(thm)],[167]) ).

cnf(216,plain,
    ( ~ p1(X0,X0,X1)
    | ~ n1(X2,X0,X1)
    | ~ q2(X2,X1,X0)
    | q2(X0,X2,X0) ),
    inference(cnf,[status(esa)],[rule_182]) ).

cnf(l468,plain,
    ( ~ p1(b,b,b)
    | ~ n1(a,b,b)
    | ~ q2(a,b,b)
    | q2(b,a,b) ),
    inference(instantiation,[status(thm)],[216]) ).

cnf(l538,plain,
    p0(b,b),
    inference(instantiation,[status(thm)],[13]) ).

cnf(293,plain,
    ( ~ l1(X0,X1)
    | ~ n1(X1,X1,X1)
    | ~ r2(X2)
    | r3(X2,X2,X2) ),
    inference(cnf,[status(esa)],[rule_261]) ).

cnf(l549,plain,
    ( ~ l1(e,e)
    | ~ n1(e,e,e)
    | ~ r2(a)
    | r3(a,a,a) ),
    inference(instantiation,[status(thm)],[293]) ).

cnf(211,plain,
    ( ~ k0(X0)
    | ~ p1(X1,X1,X1)
    | q2(X1,X0,X0) ),
    inference(cnf,[status(esa)],[rule_177]) ).

cnf(l469,plain,
    ( ~ k0(b)
    | ~ p1(a,a,a)
    | q2(a,b,b) ),
    inference(instantiation,[status(thm)],[211]) ).

cnf(127,plain,
    ( ~ p0(X0,X1)
    | ~ n0(X2,X3)
    | q1(X1,X3,X1) ),
    inference(cnf,[status(esa)],[rule_092]) ).

cnf(l446,plain,
    ( ~ p0(b,e)
    | ~ n0(b,a)
    | q1(e,a,e) ),
    inference(instantiation,[status(thm)],[127]) ).

cnf(l490,plain,
    m0(X0_490,d,b),
    inference(instantiation,[status(thm)],[18]) ).

cnf(162,plain,
    ( ~ k1(X0)
    | ~ m1(X1,X2,X3)
    | ~ k2(X0,X2)
    | k2(X3,X2) ),
    inference(cnf,[status(esa)],[rule_127]) ).

cnf(l572,plain,
    ( ~ k1(a)
    | ~ m1(b,a,e)
    | ~ k2(a,a)
    | k2(e,a) ),
    inference(instantiation,[status(thm)],[162]) ).

cnf(l589,plain,
    ( ~ n0(b,a)
    | k1(a) ),
    inference(instantiation,[status(thm)],[38]) ).

cnf(39,plain,
    ( ~ n0(X0,X1)
    | l1(X1,X1) ),
    inference(cnf,[status(esa)],[rule_002]) ).

cnf(l681,plain,
    ( ~ n0(d,e)
    | l1(e,e) ),
    inference(instantiation,[status(thm)],[39]) ).

cnf(266,plain,
    ( ~ p2(X0,e,e)
    | ~ n2(e)
    | m3(X0,e,e) ),
    inference(cnf,[status(esa)],[rule_234]) ).

cnf(l177,plain,
    ( ~ p2(e,e,e)
    | ~ n2(e)
    | m3(e,e,e) ),
    inference(instantiation,[status(thm)],[266]) ).

cnf(36,plain,
    n0(b,a),
    inference(cnf,[status(esa)],[axiom_37]) ).

cnf(l590,plain,
    n0(b,a),
    inference(instantiation,[status(thm)],[36]) ).

cnf(62,plain,
    ( ~ m0(X0,X1,X2)
    | m1(X2,X2,X2) ),
    inference(cnf,[status(esa)],[rule_025]) ).

cnf(l453,plain,
    ( ~ m0(a,e,e)
    | m1(e,e,e) ),
    inference(instantiation,[status(thm)],[62]) ).

cnf(116,plain,
    ( ~ q0(X0,X1)
    | ~ l0(X2)
    | ~ m1(X3,X0,X4)
    | p1(X4,X4,X4) ),
    inference(cnf,[status(esa)],[rule_081]) ).

cnf(l577,plain,
    ( ~ q0(d,c)
    | ~ l0(a)
    | ~ m1(a,d,a)
    | p1(a,a,a) ),
    inference(instantiation,[status(thm)],[116]) ).

cnf(l540,plain,
    p0(b,d),
    inference(instantiation,[status(thm)],[13]) ).

cnf(77,plain,
    ( ~ m0(X0,X1,e)
    | ~ k1(X0)
    | n1(X0,e,e) ),
    inference(cnf,[status(esa)],[rule_040]) ).

cnf(l706,plain,
    ( ~ m0(e,d,e)
    | ~ k1(e)
    | n1(e,e,e) ),
    inference(instantiation,[status(thm)],[77]) ).

cnf(2,plain,
    n0(d,e),
    inference(cnf,[status(esa)],[axiom_3]) ).

cnf(l702,plain,
    n0(d,e),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l621,plain,
    n0(d,e),
    inference(instantiation,[status(thm)],[2]) ).

cnf(22,plain,
    m0(a,e,e),
    inference(cnf,[status(esa)],[axiom_23]) ).

cnf(l459,plain,
    m0(a,e,e),
    inference(instantiation,[status(thm)],[22]) ).

cnf(l80,plain,
    ( ~ p0(b,b)
    | ~ m0(X0_531,d,b)
    | ~ s1(d)
    | l2(b,b) ),
    inference(instantiation,[status(thm)],[167]) ).

cnf(131,plain,
    ( ~ p0(X0,X1)
    | ~ m1(X2,X3,X0)
    | ~ n1(X0,X3,X3)
    | ~ q1(X1,X0,X3)
    | q1(X2,X2,X2) ),
    inference(cnf,[status(esa)],[rule_096]) ).

cnf(l434,plain,
    ( ~ p0(b,b)
    | ~ m1(a,b,b)
    | ~ n1(b,b,b)
    | ~ q1(b,b,b)
    | q1(a,a,a) ),
    inference(instantiation,[status(thm)],[131]) ).

cnf(147,plain,
    ( ~ s0(b)
    | ~ k1(X0)
    | q1(X0,X0,X0) ),
    inference(cnf,[status(esa)],[rule_112]) ).

cnf(l890,plain,
    ( ~ s0(b)
    | ~ k1(b)
    | q1(b,b,b) ),
    inference(instantiation,[status(thm)],[147]) ).

cnf(l574,plain,
    ( ~ s0(d)
    | ~ q0(a,d)
    | ~ q1(d,d,d)
    | r1(a) ),
    inference(instantiation,[status(thm)],[159]) ).

cnf(208,plain,
    ( ~ k1(e)
    | ~ n2(X0)
    | p2(X0,X0,X0) ),
    inference(cnf,[status(esa)],[rule_174]) ).

cnf(l315,plain,
    ( ~ k1(e)
    | ~ n2(e)
    | p2(e,e,e) ),
    inference(instantiation,[status(thm)],[208]) ).

cnf(280,plain,
    ( ~ p2(X0,X1,X1)
    | ~ n3(X1)
    | p3(X1,X1,X1) ),
    inference(cnf,[status(esa)],[rule_248]) ).

cnf(l14,plain,
    ( ~ p2(e,e,e)
    | ~ n3(e)
    | p3(e,e,e) ),
    inference(instantiation,[status(thm)],[280]) ).

cnf(95,plain,
    ( ~ m0(X0,X1,X2)
    | ~ m0(X1,X3,X3)
    | n1(X2,X2,X0) ),
    inference(cnf,[status(esa)],[rule_059]) ).

cnf(l893,plain,
    ( ~ m0(b,d,b)
    | ~ m0(d,d,d)
    | n1(b,b,b) ),
    inference(instantiation,[status(thm)],[95]) ).

cnf(101,plain,
    ( ~ p0(X0,X1)
    | ~ n0(X1,X1)
    | ~ l1(X1,X1)
    | p1(X0,X0,X0) ),
    inference(cnf,[status(esa)],[rule_065]) ).

cnf(l482,plain,
    ( ~ p0(b,e)
    | ~ n0(e,e)
    | ~ l1(e,e)
    | p1(b,b,b) ),
    inference(instantiation,[status(thm)],[101]) ).

cnf(l810,plain,
    n0(b,a),
    inference(instantiation,[status(thm)],[36]) ).

cnf(l651,plain,
    ( ~ n0(e,e)
    | l1(e,e) ),
    inference(instantiation,[status(thm)],[39]) ).

cnf(l439,plain,
    p0(b,b),
    inference(instantiation,[status(thm)],[13]) ).

cnf(31,plain,
    k0(b),
    inference(cnf,[status(esa)],[axiom_32]) ).

cnf(l614,plain,
    k0(b),
    inference(instantiation,[status(thm)],[31]) ).

cnf(19,plain,
    l0(a),
    inference(cnf,[status(esa)],[axiom_20]) ).

cnf(l586,plain,
    l0(a),
    inference(instantiation,[status(thm)],[19]) ).

cnf(160,plain,
    ( ~ p0(X0,X0)
    | s1(X0) ),
    inference(cnf,[status(esa)],[rule_125]) ).

cnf(l499,plain,
    ( ~ p0(b,b)
    | s1(b) ),
    inference(instantiation,[status(thm)],[160]) ).

cnf(l531,plain,
    m0(X0_531,d,b),
    inference(instantiation,[status(thm)],[18]) ).

cnf(179,plain,
    ( ~ r0(e)
    | ~ p1(X0,X1,e)
    | p2(e,X0,X1) ),
    inference(cnf,[status(esa)],[rule_145]) ).

cnf(l153,plain,
    ( ~ r0(e)
    | ~ p1(e,e,e)
    | p2(e,e,e) ),
    inference(instantiation,[status(thm)],[179]) ).

cnf(149,plain,
    ( ~ m0(X0,X0,X1)
    | ~ k0(X1)
    | q1(X0,X0,X0) ),
    inference(cnf,[status(esa)],[rule_114]) ).

cnf(l800,plain,
    ( ~ m0(d,d,e)
    | ~ k0(e)
    | q1(d,d,d) ),
    inference(instantiation,[status(thm)],[149]) ).

cnf(l783,plain,
    ( ~ l0(a)
    | ~ r1(a)
    | r2(a) ),
    inference(instantiation,[status(thm)],[222]) ).

cnf(l891,plain,
    s0(b),
    inference(instantiation,[status(thm)],[4]) ).

cnf(l503,plain,
    p0(b,e),
    inference(instantiation,[status(thm)],[13]) ).

cnf(l897,plain,
    ( ~ n0(d,b)
    | k1(b) ),
    inference(instantiation,[status(thm)],[38]) ).

cnf(l505,plain,
    p0(b,b),
    inference(instantiation,[status(thm)],[13]) ).

cnf(10,plain,
    n0(e,b),
    inference(cnf,[status(esa)],[axiom_11]) ).

cnf(l610,plain,
    n0(e,b),
    inference(instantiation,[status(thm)],[10]) ).

cnf(l437,plain,
    p0(b,b),
    inference(instantiation,[status(thm)],[13]) ).

cnf(l900,plain,
    n0(d,b),
    inference(instantiation,[status(thm)],[6]) ).

cnf(l823,plain,
    l0(a),
    inference(instantiation,[status(thm)],[19]) ).

cnf(l565,plain,
    n0(e,e),
    inference(instantiation,[status(thm)],[29]) ).

cnf(161,plain,
    ( ~ q0(X0,X1)
    | ~ s1(X2)
    | s1(X0) ),
    inference(cnf,[status(esa)],[rule_126]) ).

cnf(l491,plain,
    ( ~ q0(d,c)
    | ~ s1(X0_656)
    | s1(d) ),
    inference(instantiation,[status(thm)],[161]) ).

cnf(l798,plain,
    ( ~ q0(d,b)
    | ~ l0(a)
    | ~ m1(e,d,e)
    | p1(e,e,e) ),
    inference(instantiation,[status(thm)],[116]) ).

cnf(l319,plain,
    ( ~ n0(e,e)
    | k1(e) ),
    inference(instantiation,[status(thm)],[38]) ).

cnf(174,plain,
    ( ~ r0(e)
    | ~ p1(b,X0,X1)
    | ~ r1(b)
    | n2(e) ),
    inference(cnf,[status(esa)],[rule_140]) ).

cnf(l320,plain,
    ( ~ r0(e)
    | ~ p1(b,b,b)
    | ~ r1(b)
    | n2(e) ),
    inference(instantiation,[status(thm)],[174]) ).

cnf(28,plain,
    q0(d,b),
    inference(cnf,[status(esa)],[axiom_29]) ).

cnf(l912,plain,
    q0(d,b),
    inference(instantiation,[status(thm)],[28]) ).

cnf(l462,plain,
    ( ~ m1(b,b,b)
    | p2(b,b,b) ),
    inference(instantiation,[status(thm)],[210]) ).

cnf(l575,plain,
    s0(d),
    inference(instantiation,[status(thm)],[0]) ).

cnf(53,plain,
    ( ~ m1(X0,X1,X2)
    | ~ m1(X0,X3,X1)
    | m1(X2,X1,X1) ),
    inference(cnf,[status(esa)],[rule_016]) ).

cnf(l498,plain,
    ( ~ m1(a,b,a)
    | ~ m1(a,a,b)
    | m1(a,b,b) ),
    inference(instantiation,[status(thm)],[53]) ).

cnf(l894,plain,
    m0(b,d,b),
    inference(instantiation,[status(thm)],[18]) ).

cnf(12,plain,
    r0(e),
    inference(cnf,[status(esa)],[axiom_13]) ).

cnf(l504,plain,
    r0(e),
    inference(instantiation,[status(thm)],[12]) ).

cnf(164,plain,
    ( ~ q1(X0,X1,X1)
    | k2(X1,X1) ),
    inference(cnf,[status(esa)],[rule_129]) ).

cnf(l799,plain,
    ( ~ q1(a,a,a)
    | k2(a,a) ),
    inference(instantiation,[status(thm)],[164]) ).

cnf(l530,plain,
    ( ~ q0(d,d)
    | ~ s1(b)
    | s1(d) ),
    inference(instantiation,[status(thm)],[161]) ).

cnf(90,plain,
    ( ~ l0(X0)
    | ~ l1(X0,X1)
    | ~ n1(X1,X2,X1)
    | n1(X1,X2,X2) ),
    inference(cnf,[status(esa)],[rule_054]) ).

cnf(l553,plain,
    ( ~ l0(a)
    | ~ l1(a,a)
    | ~ n1(a,b,a)
    | n1(a,b,b) ),
    inference(instantiation,[status(thm)],[90]) ).

cnf(42,plain,
    ( ~ m0(X0,X0,X1)
    | m1(X1,X0,X1) ),
    inference(cnf,[status(esa)],[rule_005]) ).

cnf(l904,plain,
    ( ~ m0(d,d,e)
    | m1(e,d,e) ),
    inference(instantiation,[status(thm)],[42]) ).

cnf(l852,plain,
    r0(e),
    inference(instantiation,[status(thm)],[12]) ).

cnf(l895,plain,
    m0(d,d,d),
    inference(instantiation,[status(thm)],[18]) ).

cnf(105,plain,
    ( ~ p0(X0,X1)
    | p1(X1,X1,X0) ),
    inference(cnf,[status(esa)],[rule_069]) ).

cnf(l493,plain,
    ( ~ p0(b,b)
    | p1(b,b,b) ),
    inference(instantiation,[status(thm)],[105]) ).

cnf(l866,plain,
    p0(b,b),
    inference(instantiation,[status(thm)],[13]) ).

cnf(32,plain,
    q0(d,c),
    inference(cnf,[status(esa)],[axiom_33]) ).

cnf(l558,plain,
    q0(d,c),
    inference(instantiation,[status(thm)],[32]) ).

cnf(16,plain,
    q0(X0,d),
    inference(cnf,[status(esa)],[axiom_17]) ).

cnf(l582,plain,
    q0(d,d),
    inference(instantiation,[status(thm)],[16]) ).

cnf(l595,plain,
    ( ~ q0(X0_656,d)
    | ~ s1(X0_917)
    | s1(X0_656) ),
    inference(instantiation,[status(thm)],[161]) ).

cnf(l539,plain,
    n0(e,e),
    inference(instantiation,[status(thm)],[29]) ).

cnf(l562,plain,
    k0(b),
    inference(instantiation,[status(thm)],[31]) ).

cnf(l930,plain,
    m0(d,d,e),
    inference(instantiation,[status(thm)],[18]) ).

cnf(l559,plain,
    l0(a),
    inference(instantiation,[status(thm)],[19]) ).

cnf(l699,plain,
    ( ~ m0(d,d,a)
    | m1(a,d,a) ),
    inference(instantiation,[status(thm)],[42]) ).

cnf(l179,plain,
    ( ~ r0(e)
    | ~ p1(b,b,b)
    | ~ r1(b)
    | n2(e) ),
    inference(instantiation,[status(thm)],[174]) ).

cnf(l911,plain,
    l0(a),
    inference(instantiation,[status(thm)],[19]) ).

cnf(41,plain,
    ( ~ l0(X0)
    | ~ k1(X1)
    | ~ l1(X0,X0)
    | l1(X1,X1) ),
    inference(cnf,[status(esa)],[rule_004]) ).

cnf(l556,plain,
    ( ~ l0(c)
    | ~ k1(a)
    | ~ l1(c,c)
    | l1(a,a) ),
    inference(instantiation,[status(thm)],[41]) ).

cnf(l51,plain,
    ( ~ p2(e,e,e)
    | n3(e) ),
    inference(instantiation,[status(thm)],[272]) ).

cnf(l719,plain,
    ( ~ n0(e,e)
    | k1(e) ),
    inference(instantiation,[status(thm)],[38]) ).

cnf(l730,plain,
    n0(e,e),
    inference(instantiation,[status(thm)],[29]) ).

cnf(44,plain,
    ( ~ r0(X0)
    | ~ p0(X1,X2)
    | m1(X0,X2,X0) ),
    inference(cnf,[status(esa)],[rule_007]) ).

cnf(l511,plain,
    ( ~ r0(b)
    | ~ p0(b,b)
    | m1(b,b,b) ),
    inference(instantiation,[status(thm)],[44]) ).

cnf(l674,plain,
    ( ~ n0(d,c)
    | l1(c,c) ),
    inference(instantiation,[status(thm)],[39]) ).

cnf(l324,plain,
    ( ~ s0(d)
    | ~ q0(b,e)
    | ~ q1(d,e,d)
    | r1(b) ),
    inference(instantiation,[status(thm)],[159]) ).

cnf(l470,plain,
    ( ~ q0(a,b)
    | ~ l0(a)
    | ~ m1(b,a,b)
    | p1(b,b,b) ),
    inference(instantiation,[status(thm)],[116]) ).

cnf(40,plain,
    ( ~ r0(X0)
    | ~ p0(X1,X2)
    | ~ m0(X3,X2,X1)
    | l1(X2,X3) ),
    inference(cnf,[status(esa)],[rule_003]) ).

cnf(l431,plain,
    ( ~ r0(b)
    | ~ p0(c,b)
    | ~ m0(e,b,c)
    | l1(b,e) ),
    inference(instantiation,[status(thm)],[40]) ).

cnf(8,plain,
    r0(b),
    inference(cnf,[status(esa)],[axiom_9]) ).

cnf(l433,plain,
    r0(b),
    inference(instantiation,[status(thm)],[8]) ).

cnf(7,plain,
    m0(e,d,e),
    inference(cnf,[status(esa)],[axiom_8]) ).

cnf(l707,plain,
    m0(e,d,e),
    inference(instantiation,[status(thm)],[7]) ).

cnf(l931,plain,
    p0(b,b),
    inference(instantiation,[status(thm)],[13]) ).

cnf(l701,plain,
    q0(d,c),
    inference(instantiation,[status(thm)],[32]) ).

cnf(26,plain,
    m0(e,b,c),
    inference(cnf,[status(esa)],[axiom_27]) ).

cnf(l449,plain,
    m0(e,b,c),
    inference(instantiation,[status(thm)],[26]) ).

cnf(23,plain,
    l0(c),
    inference(cnf,[status(esa)],[axiom_24]) ).

cnf(l672,plain,
    l0(c),
    inference(instantiation,[status(thm)],[23]) ).

cnf(l501,plain,
    l0(a),
    inference(instantiation,[status(thm)],[19]) ).

cnf(l786,plain,
    ( ~ s0(d)
    | ~ q0(a,d)
    | ~ q1(d,d,d)
    | r1(a) ),
    inference(instantiation,[status(thm)],[159]) ).

cnf(20,plain,
    q0(b,e),
    inference(cnf,[status(esa)],[axiom_21]) ).

cnf(l708,plain,
    q0(b,e),
    inference(instantiation,[status(thm)],[20]) ).

cnf(86,plain,
    ( ~ s0(b)
    | ~ p0(b,X0)
    | ~ l0(X1)
    | n1(X1,X0,X1) ),
    inference(cnf,[status(esa)],[rule_050]) ).

cnf(l617,plain,
    ( ~ s0(b)
    | ~ p0(b,b)
    | ~ l0(a)
    | n1(a,b,a) ),
    inference(instantiation,[status(thm)],[86]) ).

cnf(290,plain,
    ( ~ s1(X0)
    | ~ l2(X1,X1)
    | ~ r2(X2)
    | q3(X2,X2) ),
    inference(cnf,[status(esa)],[rule_258]) ).

cnf(l440,plain,
    ( ~ s1(d)
    | ~ l2(a,a)
    | ~ r2(a)
    | q3(a,a) ),
    inference(instantiation,[status(thm)],[290]) ).

cnf(l915,plain,
    q0(a,d),
    inference(instantiation,[status(thm)],[16]) ).

cnf(l583,plain,
    q0(a,d),
    inference(instantiation,[status(thm)],[16]) ).

cnf(l660,plain,
    n0(e,e),
    inference(instantiation,[status(thm)],[29]) ).

cnf(l683,plain,
    s0(b),
    inference(instantiation,[status(thm)],[4]) ).

cnf(l597,plain,
    p0(b,e),
    inference(instantiation,[status(thm)],[13]) ).

cnf(l593,plain,
    ( ~ p0(b,b)
    | s1(b) ),
    inference(instantiation,[status(thm)],[160]) ).

cnf(l656,plain,
    q0(X0_656,d),
    inference(instantiation,[status(thm)],[16]) ).

cnf(61,plain,
    ( ~ q0(X0,X1)
    | ~ m0(a,X2,a)
    | ~ m1(X1,c,X1)
    | m1(X0,a,X1) ),
    inference(cnf,[status(esa)],[rule_024]) ).

cnf(l584,plain,
    ( ~ q0(b,e)
    | ~ m0(a,d,a)
    | ~ m1(e,c,e)
    | m1(b,a,e) ),
    inference(instantiation,[status(thm)],[61]) ).

cnf(l444,plain,
    ( ~ m1(a,b,a)
    | ~ m1(a,a,b)
    | m1(a,b,b) ),
    inference(instantiation,[status(thm)],[53]) ).

cnf(l749,plain,
    l0(a),
    inference(instantiation,[status(thm)],[19]) ).

cnf(l826,plain,
    s0(d),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l483,plain,
    r0(e),
    inference(instantiation,[status(thm)],[12]) ).

cnf(l496,plain,
    ( ~ l0(a)
    | ~ r1(a)
    | r2(a) ),
    inference(instantiation,[status(thm)],[222]) ).

cnf(135,plain,
    ( ~ n0(X0,X1)
    | q1(X1,X1,X1) ),
    inference(cnf,[status(esa)],[rule_100]) ).

cnf(l806,plain,
    ( ~ n0(b,a)
    | q1(a,a,a) ),
    inference(instantiation,[status(thm)],[135]) ).

cnf(72,plain,
    ( ~ r0(X0)
    | ~ l0(X1)
    | m1(X0,X1,X0) ),
    inference(cnf,[status(esa)],[rule_035]) ).

cnf(l733,plain,
    ( ~ r0(e)
    | ~ l0(c)
    | m1(e,c,e) ),
    inference(instantiation,[status(thm)],[72]) ).

cnf(25,plain,
    n0(d,c),
    inference(cnf,[status(esa)],[axiom_26]) ).

cnf(l705,plain,
    n0(d,c),
    inference(instantiation,[status(thm)],[25]) ).

cnf(l774,plain,
    r0(e),
    inference(instantiation,[status(thm)],[12]) ).

cnf(l725,plain,
    q0(b,e),
    inference(instantiation,[status(thm)],[20]) ).

cnf(l442,plain,
    ( ~ p0(b,b)
    | ~ m0(c,b,a)
    | ~ s1(b)
    | l2(a,a) ),
    inference(instantiation,[status(thm)],[167]) ).

cnf(l814,plain,
    m0(d,d,e),
    inference(instantiation,[status(thm)],[18]) ).

cnf(l596,plain,
    m0(a,d,a),
    inference(instantiation,[status(thm)],[18]) ).

cnf(l686,plain,
    l0(a),
    inference(instantiation,[status(thm)],[19]) ).

cnf(l790,plain,
    ( ~ q0(X0_917,d)
    | ~ s1(b)
    | s1(X0_917) ),
    inference(instantiation,[status(thm)],[161]) ).

cnf(l536,plain,
    l0(a),
    inference(instantiation,[status(thm)],[19]) ).

cnf(17,plain,
    p0(c,b),
    inference(cnf,[status(esa)],[axiom_18]) ).

cnf(l435,plain,
    p0(c,b),
    inference(instantiation,[status(thm)],[17]) ).

cnf(l515,plain,
    ( ~ p0(b,b)
    | s1(b) ),
    inference(instantiation,[status(thm)],[160]) ).

cnf(58,plain,
    ( ~ l0(X0)
    | ~ k0(X1)
    | m1(X0,X1,X0) ),
    inference(cnf,[status(esa)],[rule_021]) ).

cnf(l513,plain,
    ( ~ l0(a)
    | ~ k0(b)
    | m1(a,b,a) ),
    inference(instantiation,[status(thm)],[58]) ).

cnf(35,plain,
    q0(a,b),
    inference(cnf,[status(esa)],[axiom_36]) ).

cnf(l514,plain,
    q0(a,b),
    inference(instantiation,[status(thm)],[35]) ).

cnf(l325,plain,
    s0(d),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l709,plain,
    p0(b,b),
    inference(instantiation,[status(thm)],[13]) ).

cnf(l510,plain,
    p0(b,b),
    inference(instantiation,[status(thm)],[13]) ).

cnf(l637,plain,
    k0(b),
    inference(instantiation,[status(thm)],[31]) ).

cnf(l932,plain,
    l0(c),
    inference(instantiation,[status(thm)],[23]) ).

cnf(l537,plain,
    p0(b,b),
    inference(instantiation,[status(thm)],[13]) ).

cnf(201,plain,
    ( ~ k1(X0)
    | ~ s1(X0)
    | p2(X0,X0,X0) ),
    inference(cnf,[status(esa)],[rule_167]) ).

cnf(l841,plain,
    ( ~ k1(e)
    | ~ s1(e)
    | p2(e,e,e) ),
    inference(instantiation,[status(thm)],[201]) ).

cnf(l6,plain,
    ( ~ q0(e,d)
    | ~ s1(b)
    | s1(e) ),
    inference(instantiation,[status(thm)],[161]) ).

cnf(l923,plain,
    ( ~ p0(b,b)
    | s1(b) ),
    inference(instantiation,[status(thm)],[160]) ).

cnf(l937,plain,
    ( ~ n0(e,e)
    | k1(e) ),
    inference(instantiation,[status(thm)],[38]) ).

cnf(l645,plain,
    l0(a),
    inference(instantiation,[status(thm)],[19]) ).

cnf(l19,plain,
    ( ~ p0(b,b)
    | s1(b) ),
    inference(instantiation,[status(thm)],[160]) ).

cnf(l613,plain,
    ( ~ q0(a,b)
    | ~ m0(a,X0_638,a)
    | ~ m1(b,c,b)
    | m1(a,a,b) ),
    inference(instantiation,[status(thm)],[61]) ).

cnf(l23,plain,
    q0(e,d),
    inference(instantiation,[status(thm)],[16]) ).

cnf(15,plain,
    m0(c,b,a),
    inference(cnf,[status(esa)],[axiom_16]) ).

cnf(l448,plain,
    m0(c,b,a),
    inference(instantiation,[status(thm)],[15]) ).

cnf(l661,plain,
    p0(b,b),
    inference(instantiation,[status(thm)],[13]) ).

cnf(l616,plain,
    q0(a,b),
    inference(instantiation,[status(thm)],[35]) ).

cnf(l500,plain,
    ( ~ s0(d)
    | ~ q0(a,b)
    | ~ q1(d,b,d)
    | r1(a) ),
    inference(instantiation,[status(thm)],[159]) ).

cnf(l808,plain,
    n0(b,a),
    inference(instantiation,[status(thm)],[36]) ).

cnf(l842,plain,
    ( ~ q0(e,d)
    | ~ s1(X0_942)
    | s1(e) ),
    inference(instantiation,[status(thm)],[161]) ).

cnf(27,plain,
    k0(e),
    inference(cnf,[status(esa)],[axiom_28]) ).

cnf(l809,plain,
    k0(e),
    inference(instantiation,[status(thm)],[27]) ).

cnf(l714,plain,
    ( ~ p0(b,d)
    | ~ n0(e,e)
    | q1(d,e,d) ),
    inference(instantiation,[status(thm)],[127]) ).

cnf(l485,plain,
    ( ~ q0(d,b)
    | ~ s1(b)
    | s1(d) ),
    inference(instantiation,[status(thm)],[161]) ).

cnf(l517,plain,
    q0(a,b),
    inference(instantiation,[status(thm)],[35]) ).

cnf(l792,plain,
    s0(d),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l938,plain,
    n0(e,e),
    inference(instantiation,[status(thm)],[29]) ).

cnf(9,plain,
    p0(b,d),
    inference(cnf,[status(esa)],[axiom_10]) ).

cnf(l721,plain,
    p0(b,d),
    inference(instantiation,[status(thm)],[9]) ).

cnf(l750,plain,
    ( ~ s0(d)
    | ~ q0(b,d)
    | ~ q1(d,d,d)
    | r1(b) ),
    inference(instantiation,[status(thm)],[159]) ).

cnf(l523,plain,
    ( ~ p0(b,b)
    | s1(b) ),
    inference(instantiation,[status(thm)],[160]) ).

cnf(l678,plain,
    ( ~ r0(b)
    | ~ l0(c)
    | m1(b,c,b) ),
    inference(instantiation,[status(thm)],[72]) ).

cnf(l857,plain,
    m0(d,d,a),
    inference(instantiation,[status(thm)],[18]) ).

cnf(l477,plain,
    ( ~ r0(b)
    | ~ p0(b,a)
    | m1(b,a,b) ),
    inference(instantiation,[status(thm)],[44]) ).

cnf(l62,plain,
    p0(b,b),
    inference(instantiation,[status(thm)],[13]) ).

cnf(l901,plain,
    s0(d),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l512,plain,
    r0(b),
    inference(instantiation,[status(thm)],[8]) ).

cnf(l638,plain,
    m0(a,X0_638,a),
    inference(instantiation,[status(thm)],[11]) ).

cnf(l690,plain,
    l0(c),
    inference(instantiation,[status(thm)],[23]) ).

cnf(l925,plain,
    p0(b,b),
    inference(instantiation,[status(thm)],[13]) ).

cnf(l934,plain,
    r0(b),
    inference(instantiation,[status(thm)],[8]) ).

cnf(l525,plain,
    p0(b,b),
    inference(instantiation,[status(thm)],[13]) ).

cnf(l718,plain,
    n0(e,e),
    inference(instantiation,[status(thm)],[29]) ).

cnf(141,plain,
    ( ~ s0(X0)
    | q1(X0,X0,X0) ),
    inference(cnf,[status(esa)],[rule_106]) ).

cnf(l905,plain,
    ( ~ s0(d)
    | q1(d,d,d) ),
    inference(instantiation,[status(thm)],[141]) ).

cnf(l693,plain,
    ( ~ n0(b,a)
    | k1(a) ),
    inference(instantiation,[status(thm)],[38]) ).

cnf(l941,plain,
    ( ~ q0(X0_942,d)
    | ~ s1(b)
    | s1(X0_942) ),
    inference(instantiation,[status(thm)],[161]) ).

cnf(l944,plain,
    ( ~ p0(b,b)
    | s1(b) ),
    inference(instantiation,[status(thm)],[160]) ).

cnf(l688,plain,
    r0(b),
    inference(instantiation,[status(thm)],[8]) ).

cnf(l910,plain,
    q0(b,d),
    inference(instantiation,[status(thm)],[16]) ).

cnf(l945,plain,
    p0(b,b),
    inference(instantiation,[status(thm)],[13]) ).

cnf(l940,plain,
    q0(e,d),
    inference(instantiation,[status(thm)],[16]) ).

cnf(l874,plain,
    ( ~ q0(d,d)
    | q1(d,d,d) ),
    inference(instantiation,[status(thm)],[128]) ).

cnf(l902,plain,
    q0(d,d),
    inference(instantiation,[status(thm)],[24]) ).

cnf(l791,plain,
    ( ~ p0(b,d)
    | ~ n0(a,b)
    | q1(d,b,d) ),
    inference(instantiation,[status(thm)],[127]) ).

cnf(l793,plain,
    p0(b,d),
    inference(instantiation,[status(thm)],[13]) ).

cnf(l529,plain,
    q0(d,b),
    inference(instantiation,[status(thm)],[28]) ).

cnf(l917,plain,
    q0(X0_917,d),
    inference(instantiation,[status(thm)],[16]) ).

cnf(l936,plain,
    p0(b,a),
    inference(instantiation,[status(thm)],[13]) ).

cnf(l913,plain,
    s0(d),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l703,plain,
    n0(b,a),
    inference(instantiation,[status(thm)],[36]) ).

cnf(14,plain,
    n0(a,b),
    inference(cnf,[status(esa)],[axiom_15]) ).

cnf(l926,plain,
    n0(a,b),
    inference(instantiation,[status(thm)],[14]) ).

cnf(l671,plain,
    ( ~ l0(a)
    | ~ k0(b)
    | m1(a,b,a) ),
    inference(instantiation,[status(thm)],[58]) ).

cnf(l680,plain,
    k0(b),
    inference(instantiation,[status(thm)],[31]) ).

cnf(l682,plain,
    ( ~ q0(a,b)
    | ~ m0(a,d,a)
    | ~ m1(b,c,b)
    | m1(a,a,b) ),
    inference(instantiation,[status(thm)],[61]) ).

cnf(l685,plain,
    q0(a,b),
    inference(instantiation,[status(thm)],[35]) ).

cnf(l942,plain,
    q0(X0_942,d),
    inference(instantiation,[status(thm)],[16]) ).

cnf(l696,plain,
    m0(a,d,a),
    inference(instantiation,[status(thm)],[18]) ).

cnf(l691,plain,
    l0(a),
    inference(instantiation,[status(thm)],[19]) ).

cnf(66,plain,
    ( ~ s0(X0)
    | ~ p0(X0,X1)
    | m1(X0,X1,X0) ),
    inference(cnf,[status(esa)],[rule_029]) ).

cnf(l695,plain,
    ( ~ s0(b)
    | ~ p0(b,c)
    | m1(b,c,b) ),
    inference(instantiation,[status(thm)],[66]) ).

cnf(l947,plain,
    p0(b,c),
    inference(instantiation,[status(thm)],[13]) ).

cnf(l946,plain,
    s0(b),
    inference(instantiation,[status(thm)],[4]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l106,l174,l7,l34,l12,l13,l60,l257,l419,l420,l55,l10,l16,l126,l98,l452,l15,l422,l445,l428,l429,l156,l502,l421,l78,l158,l163,l438,l465,l450,l457,l467,l609,l472,l430,l50,l119,l432,l3,l436,l489,l198,l481,l488,l468,l538,l549,l469,l446,l490,l572,l589,l681,l177,l590,l453,l577,l540,l706,l702,l621,l459,l80,l434,l890,l574,l315,l14,l893,l482,l810,l651,l439,l614,l586,l499,l531,l153,l800,l783,l891,l503,l897,l505,l610,l437,l900,l823,l565,l491,l798,l319,l320,l912,l462,l575,l498,l894,l504,l799,l530,l553,l904,l852,l895,l493,l866,l558,l582,l595,l539,l562,l930,l559,l699,l179,l911,l556,l51,l719,l730,l511,l674,l324,l470,l431,l433,l707,l931,l701,l449,l672,l501,l786,l708,l617,l440,l915,l583,l660,l683,l597,l593,l656,l584,l444,l749,l826,l483,l496,l806,l733,l705,l774,l725,l442,l814,l596,l686,l790,l536,l435,l515,l513,l514,l325,l709,l510,l637,l932,l537,l841,l6,l923,l937,l645,l19,l613,l23,l448,l661,l616,l500,l808,l842,l809,l714,l485,l517,l792,l938,l721,l750,l523,l678,l857,l477,l62,l901,l512,l638,l690,l925,l934,l525,l718,l905,l693,l941,l944,l688,l910,l945,l940,l874,l902,l791,l793,l529,l917,l936,l913,l703,l926,l671,l680,l682,l685,l942,l696,l691,l695,l947,l946]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN159-1 : TPTP v9.0.0. Released v1.1.0.
% 0.07/0.13  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34  % Computer : n028.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue Jul 22 15:39:49 EDT 2025
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  % launching worker at depth: 1
% 0.14/0.35  % launching worker at depth: 2
% 0.14/0.35  % launching worker at depth: 3
% 0.14/0.35  % launching worker at depth: 4
% 0.14/0.35  % launching worker at depth: 7
% 0.14/0.35  % launching worker at depth: 6
% 0.14/0.35  % launching worker at depth: 8
% 0.14/0.35  % launching worker at depth: 5
% 0.14/0.35  % launching worker at depth: 9
% 0.14/0.35  % launching worker at depth: 10
% 0.14/0.36  % launching worker at depth: 11
% 0.14/0.38  % launching worker at depth: 12
% 0.20/0.46  % launching worker at depth: 13
% 3.64/0.82  % launching worker at depth: 14
% 4.79/1.00  % SZS status Theorem for theBenchmark
% 4.79/1.00  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------