%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN163-1 : TPTP v9.0.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 27.40s 3.79s
% Output : CNFRefutation 27.40s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_this)
% Comments :
%------------------------------------------------------------------------------
cnf(361,plain,
~ n5(e,a),
inference(cnf,[status(esa)],[prove_this]) ).
cnf(l0,plain,
~ n5(e,a),
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(e,e)
| ~ p4(a,a,a)
| ~ q4(a,e)
| ~ n5(a,a)
| n5(e,a) ),
inference(instantiation,[status(thm)],[337]) ).
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(l7,plain,
( ~ q2(a,e,a)
| ~ k3(a,a,a)
| ~ m3(a,X1_418,a)
| q4(a,e) ),
inference(instantiation,[status(thm)],[325]) ).
cnf(314,plain,
( ~ m3(X0,X0,X0)
| ~ k4(X1)
| n4(X0,X0) ),
inference(cnf,[status(esa)],[rule_284]) ).
cnf(l2,plain,
( ~ m3(e,e,e)
| ~ k4(c)
| n4(e,e) ),
inference(instantiation,[status(thm)],[314]) ).
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(l10,plain,
( ~ m0(a,a,a)
| ~ m0(d,d,X1_418)
| ~ l2(a,a)
| ~ s2(d)
| m3(a,X1_418,a) ),
inference(instantiation,[status(thm)],[257]) ).
cnf(224,plain,
( ~ s0(d)
| ~ s1(a)
| s2(d) ),
inference(cnf,[status(esa)],[rule_190]) ).
cnf(l1110,plain,
( ~ s0(d)
| ~ s1(a)
| s2(d) ),
inference(instantiation,[status(thm)],[224]) ).
cnf(168,plain,
( ~ p0(X0,X1)
| ~ m0(X0,X1,X2)
| ~ m1(X2,X0,X0)
| l2(X1,X1) ),
inference(cnf,[status(esa)],[rule_134]) ).
cnf(l414,plain,
( ~ p0(b,a)
| ~ m0(b,a,a)
| ~ m1(a,b,b)
| l2(a,a) ),
inference(instantiation,[status(thm)],[168]) ).
cnf(344,plain,
( ~ r4(X0)
| n5(X0,X0) ),
inference(cnf,[status(esa)],[rule_314]) ).
cnf(l4,plain,
( ~ r4(a)
| n5(a,a) ),
inference(instantiation,[status(thm)],[344]) ).
cnf(18,plain,
m0(X0,d,X1),
inference(cnf,[status(esa)],[axiom_19]) ).
cnf(l418,plain,
m0(d,d,X1_418),
inference(instantiation,[status(thm)],[18]) ).
cnf(306,plain,
( ~ n0(c,d)
| ~ n3(e)
| ~ q3(e,b)
| k4(c) ),
inference(cnf,[status(esa)],[rule_274]) ).
cnf(l13,plain,
( ~ n0(c,d)
| ~ n3(e)
| ~ q3(e,b)
| k4(c) ),
inference(instantiation,[status(thm)],[306]) ).
cnf(0,plain,
s0(d),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l1132,plain,
s0(d),
inference(instantiation,[status(thm)],[0]) ).
cnf(11,plain,
m0(a,X0,a),
inference(cnf,[status(esa)],[axiom_12]) ).
cnf(l27,plain,
m0(a,a,a),
inference(instantiation,[status(thm)],[11]) ).
cnf(272,plain,
( ~ p2(X0,X1,X2)
| n3(X2) ),
inference(cnf,[status(esa)],[rule_240]) ).
cnf(l16,plain,
( ~ p2(e,e,e)
| n3(e) ),
inference(instantiation,[status(thm)],[272]) ).
cnf(238,plain,
( ~ p2(X0,X1,X1)
| k3(X1,X1,X1) ),
inference(cnf,[status(esa)],[rule_205]) ).
cnf(l55,plain,
( ~ p2(a,a,a)
| k3(a,a,a) ),
inference(instantiation,[status(thm)],[238]) ).
cnf(187,plain,
( ~ n1(d,d,X0)
| p2(X0,X0,X0) ),
inference(cnf,[status(esa)],[rule_153]) ).
cnf(l177,plain,
( ~ n1(d,d,e)
| p2(e,e,e) ),
inference(instantiation,[status(thm)],[187]) ).
cnf(37,plain,
m0(b,a,a),
inference(cnf,[status(esa)],[axiom_38]) ).
cnf(l429,plain,
m0(b,a,a),
inference(instantiation,[status(thm)],[37]) ).
cnf(328,plain,
( ~ p0(X0,X1)
| ~ n3(X1)
| ~ q3(X2,X3)
| r4(X1) ),
inference(cnf,[status(esa)],[rule_298]) ).
cnf(l6,plain,
( ~ p0(b,a)
| ~ n3(a)
| ~ q3(b,b)
| r4(a) ),
inference(instantiation,[status(thm)],[328]) ).
cnf(33,plain,
n0(c,d),
inference(cnf,[status(esa)],[axiom_34]) ).
cnf(l17,plain,
n0(c,d),
inference(instantiation,[status(thm)],[33]) ).
cnf(161,plain,
( ~ q0(X0,X1)
| ~ s1(X2)
| s1(X0) ),
inference(cnf,[status(esa)],[rule_126]) ).
cnf(l1315,plain,
( ~ q0(a,d)
| ~ s1(b)
| s1(a) ),
inference(instantiation,[status(thm)],[161]) ).
cnf(l92,plain,
( ~ p2(d,a,a)
| n3(a) ),
inference(instantiation,[status(thm)],[272]) ).
cnf(13,plain,
p0(b,X0),
inference(cnf,[status(esa)],[axiom_14]) ).
cnf(l45,plain,
p0(b,a),
inference(instantiation,[status(thm)],[13]) ).
cnf(270,plain,
( ~ p2(X0,X0,X0)
| m3(X0,X0,X0) ),
inference(cnf,[status(esa)],[rule_238]) ).
cnf(l14,plain,
( ~ p2(e,e,e)
| m3(e,e,e) ),
inference(instantiation,[status(thm)],[270]) ).
cnf(221,plain,
( ~ m0(X0,X1,X2)
| ~ k0(X3)
| ~ r1(X3)
| ~ q2(X3,X3,X3)
| q2(X2,X3,X2) ),
inference(cnf,[status(esa)],[rule_187]) ).
cnf(l12,plain,
( ~ m0(e,d,a)
| ~ k0(e)
| ~ r1(e)
| ~ q2(e,e,e)
| q2(a,e,a) ),
inference(instantiation,[status(thm)],[221]) ).
cnf(3,plain,
m0(e,d,a),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l41,plain,
m0(e,d,a),
inference(instantiation,[status(thm)],[3]) ).
cnf(16,plain,
q0(X0,d),
inference(cnf,[status(esa)],[axiom_17]) ).
cnf(l2037,plain,
q0(a,d),
inference(instantiation,[status(thm)],[16]) ).
cnf(211,plain,
( ~ k0(X0)
| ~ p1(X1,X1,X1)
| q2(X1,X0,X0) ),
inference(cnf,[status(esa)],[rule_177]) ).
cnf(l2047,plain,
( ~ k0(e)
| ~ p1(e,e,e)
| q2(e,e,e) ),
inference(instantiation,[status(thm)],[211]) ).
cnf(95,plain,
( ~ m0(X0,X1,X2)
| ~ m0(X1,X3,X3)
| n1(X2,X2,X0) ),
inference(cnf,[status(esa)],[rule_059]) ).
cnf(l182,plain,
( ~ m0(e,d,d)
| ~ m0(d,d,d)
| n1(d,d,e) ),
inference(instantiation,[status(thm)],[95]) ).
cnf(27,plain,
k0(e),
inference(cnf,[status(esa)],[axiom_28]) ).
cnf(l2048,plain,
k0(e),
inference(instantiation,[status(thm)],[27]) ).
cnf(288,plain,
( ~ p2(X0,X1,X1)
| ~ q3(X0,X1)
| q3(X1,X1) ),
inference(cnf,[status(esa)],[rule_256]) ).
cnf(l11,plain,
( ~ p2(e,b,b)
| ~ q3(e,b)
| q3(b,b) ),
inference(instantiation,[status(thm)],[288]) ).
cnf(53,plain,
( ~ m1(X0,X1,X2)
| ~ m1(X0,X3,X1)
| m1(X2,X1,X1) ),
inference(cnf,[status(esa)],[rule_016]) ).
cnf(l432,plain,
( ~ m1(a,b,a)
| ~ m1(a,a,b)
| m1(a,b,b) ),
inference(instantiation,[status(thm)],[53]) ).
cnf(160,plain,
( ~ p0(X0,X0)
| s1(X0) ),
inference(cnf,[status(esa)],[rule_125]) ).
cnf(l2038,plain,
( ~ p0(b,b)
| s1(b) ),
inference(instantiation,[status(thm)],[160]) ).
cnf(115,plain,
( ~ n0(X0,X0)
| ~ l0(X1)
| ~ n1(X0,X2,X3)
| p1(X3,X3,X3) ),
inference(cnf,[status(esa)],[rule_080]) ).
cnf(l2049,plain,
( ~ n0(e,e)
| ~ l0(c)
| ~ n1(e,a,e)
| p1(e,e,e) ),
inference(instantiation,[status(thm)],[115]) ).
cnf(320,plain,
( ~ m3(X0,X1,X2)
| ~ p4(X2,X1,X2)
| p4(X2,X2,X2) ),
inference(cnf,[status(esa)],[rule_290]) ).
cnf(l3,plain,
( ~ m3(e,e,a)
| ~ p4(a,e,a)
| p4(a,a,a) ),
inference(instantiation,[status(thm)],[320]) ).
cnf(206,plain,
( ~ p1(e,e,a)
| p2(a,a,a) ),
inference(cnf,[status(esa)],[rule_172]) ).
cnf(l72,plain,
( ~ p1(e,e,a)
| p2(a,a,a) ),
inference(instantiation,[status(thm)],[206]) ).
cnf(l40,plain,
k0(e),
inference(instantiation,[status(thm)],[27]) ).
cnf(l1015,plain,
p0(b,a),
inference(instantiation,[status(thm)],[13]) ).
cnf(317,plain,
( ~ k3(X0,X0,X1)
| p4(X0,X1,X0) ),
inference(cnf,[status(esa)],[rule_287]) ).
cnf(l8,plain,
( ~ k3(a,a,e)
| p4(a,e,a) ),
inference(instantiation,[status(thm)],[317]) ).
cnf(159,plain,
( ~ s0(d)
| ~ q0(X0,X1)
| ~ q1(d,X1,d)
| r1(X0) ),
inference(cnf,[status(esa)],[rule_124]) ).
cnf(l431,plain,
( ~ s0(d)
| ~ q0(e,d)
| ~ q1(d,d,d)
| r1(e) ),
inference(instantiation,[status(thm)],[159]) ).
cnf(l785,plain,
m0(e,d,d),
inference(instantiation,[status(thm)],[18]) ).
cnf(1,plain,
q0(e,d),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l557,plain,
q0(e,d),
inference(instantiation,[status(thm)],[1]) ).
cnf(l439,plain,
s0(d),
inference(instantiation,[status(thm)],[0]) ).
cnf(152,plain,
( ~ s0(d)
| ~ k0(e)
| q1(d,d,d) ),
inference(cnf,[status(esa)],[rule_117]) ).
cnf(l1109,plain,
( ~ s0(d)
| ~ k0(e)
| q1(d,d,d) ),
inference(instantiation,[status(thm)],[152]) ).
cnf(l2043,plain,
p0(b,b),
inference(instantiation,[status(thm)],[13]) ).
cnf(228,plain,
( ~ k2(X0,X1)
| k3(X1,X1,X0) ),
inference(cnf,[status(esa)],[rule_194]) ).
cnf(l15,plain,
( ~ k2(e,a)
| k3(a,a,e) ),
inference(instantiation,[status(thm)],[228]) ).
cnf(23,plain,
l0(c),
inference(cnf,[status(esa)],[axiom_24]) ).
cnf(l2050,plain,
l0(c),
inference(instantiation,[status(thm)],[23]) ).
cnf(29,plain,
n0(e,e),
inference(cnf,[status(esa)],[axiom_30]) ).
cnf(l2055,plain,
n0(e,e),
inference(instantiation,[status(thm)],[29]) ).
cnf(l1120,plain,
k0(e),
inference(instantiation,[status(thm)],[27]) ).
cnf(180,plain,
( ~ l1(X0,X1)
| ~ p1(X2,X0,X1)
| ~ p2(X2,X3,X2)
| p2(X2,X3,X3) ),
inference(cnf,[status(esa)],[rule_146]) ).
cnf(l134,plain,
( ~ l1(d,d)
| ~ p1(d,d,d)
| ~ p2(d,a,d)
| p2(d,a,a) ),
inference(instantiation,[status(thm)],[180]) ).
cnf(74,plain,
( ~ r0(X0)
| ~ p0(X1,X0)
| ~ l0(X2)
| n1(X0,X2,X0) ),
inference(cnf,[status(esa)],[rule_037]) ).
cnf(l2051,plain,
( ~ r0(e)
| ~ p0(b,e)
| ~ l0(a)
| n1(e,a,e) ),
inference(instantiation,[status(thm)],[74]) ).
cnf(179,plain,
( ~ r0(e)
| ~ p1(X0,X1,e)
| p2(e,X0,X1) ),
inference(cnf,[status(esa)],[rule_145]) ).
cnf(l31,plain,
( ~ r0(e)
| ~ p1(b,b,e)
| p2(e,b,b) ),
inference(instantiation,[status(thm)],[179]) ).
cnf(l1112,plain,
s0(d),
inference(instantiation,[status(thm)],[0]) ).
cnf(12,plain,
r0(e),
inference(cnf,[status(esa)],[axiom_13]) ).
cnf(l74,plain,
r0(e),
inference(instantiation,[status(thm)],[12]) ).
cnf(19,plain,
l0(a),
inference(cnf,[status(esa)],[axiom_20]) ).
cnf(l2056,plain,
l0(a),
inference(instantiation,[status(thm)],[19]) ).
cnf(267,plain,
( ~ k3(X0,X1,X0)
| ~ r2(X1)
| m3(X0,X0,X1) ),
inference(cnf,[status(esa)],[rule_235]) ).
cnf(l25,plain,
( ~ k3(e,a,e)
| ~ r2(a)
| m3(e,e,a) ),
inference(instantiation,[status(thm)],[267]) ).
cnf(239,plain,
( ~ p2(X0,X1,X1)
| k3(X1,X0,X1) ),
inference(cnf,[status(esa)],[rule_206]) ).
cnf(l50,plain,
( ~ p2(a,e,e)
| k3(e,a,e) ),
inference(instantiation,[status(thm)],[239]) ).
cnf(162,plain,
( ~ k1(X0)
| ~ m1(X1,X2,X3)
| ~ k2(X0,X2)
| k2(X3,X2) ),
inference(cnf,[status(esa)],[rule_127]) ).
cnf(l28,plain,
( ~ k1(a)
| ~ m1(e,a,e)
| ~ k2(a,a)
| k2(e,a) ),
inference(instantiation,[status(thm)],[162]) ).
cnf(38,plain,
( ~ n0(X0,X1)
| k1(X1) ),
inference(cnf,[status(esa)],[rule_001]) ).
cnf(l1507,plain,
( ~ n0(b,a)
| k1(a) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(210,plain,
( ~ m1(X0,X1,X0)
| p2(X1,X0,X1) ),
inference(cnf,[status(esa)],[rule_176]) ).
cnf(l386,plain,
( ~ m1(a,d,a)
| p2(d,a,d) ),
inference(instantiation,[status(thm)],[210]) ).
cnf(l2042,plain,
m0(d,d,d),
inference(instantiation,[status(thm)],[18]) ).
cnf(l2052,plain,
r0(e),
inference(instantiation,[status(thm)],[12]) ).
cnf(44,plain,
( ~ r0(X0)
| ~ p0(X1,X2)
| m1(X0,X2,X0) ),
inference(cnf,[status(esa)],[rule_007]) ).
cnf(l1508,plain,
( ~ r0(e)
| ~ p0(b,a)
| m1(e,a,e) ),
inference(instantiation,[status(thm)],[44]) ).
cnf(201,plain,
( ~ k1(X0)
| ~ s1(X0)
| p2(X0,X0,X0) ),
inference(cnf,[status(esa)],[rule_167]) ).
cnf(l24,plain,
( ~ k1(e)
| ~ s1(e)
| p2(e,e,e) ),
inference(instantiation,[status(thm)],[201]) ).
cnf(117,plain,
( ~ m0(X0,X1,X2)
| ~ p1(X0,X1,X2)
| p1(X1,X3,X0) ),
inference(cnf,[status(esa)],[rule_082]) ).
cnf(l113,plain,
( ~ m0(a,e,a)
| ~ p1(a,e,a)
| p1(e,e,a) ),
inference(instantiation,[status(thm)],[117]) ).
cnf(108,plain,
( ~ s0(X0)
| ~ s0(X1)
| p1(X0,X0,X0) ),
inference(cnf,[status(esa)],[rule_072]) ).
cnf(l387,plain,
( ~ s0(d)
| ~ s0(d)
| p1(d,d,d) ),
inference(instantiation,[status(thm)],[108]) ).
cnf(l2053,plain,
p0(b,e),
inference(instantiation,[status(thm)],[13]) ).
cnf(l2068,plain,
p0(b,a),
inference(instantiation,[status(thm)],[13]) ).
cnf(222,plain,
( ~ l0(X0)
| ~ r1(X0)
| r2(X0) ),
inference(cnf,[status(esa)],[rule_188]) ).
cnf(l53,plain,
( ~ l0(a)
| ~ r1(a)
| r2(a) ),
inference(instantiation,[status(thm)],[222]) ).
cnf(39,plain,
( ~ n0(X0,X1)
| l1(X1,X1) ),
inference(cnf,[status(esa)],[rule_002]) ).
cnf(l263,plain,
( ~ n0(c,d)
| l1(d,d) ),
inference(instantiation,[status(thm)],[39]) ).
cnf(36,plain,
n0(b,a),
inference(cnf,[status(esa)],[axiom_37]) ).
cnf(l1510,plain,
n0(b,a),
inference(instantiation,[status(thm)],[36]) ).
cnf(58,plain,
( ~ l0(X0)
| ~ k0(X1)
| m1(X0,X1,X0) ),
inference(cnf,[status(esa)],[rule_021]) ).
cnf(l1343,plain,
( ~ l0(a)
| ~ k0(b)
| m1(a,b,a) ),
inference(instantiation,[status(thm)],[58]) ).
cnf(31,plain,
k0(b),
inference(cnf,[status(esa)],[axiom_32]) ).
cnf(l2059,plain,
k0(b),
inference(instantiation,[status(thm)],[31]) ).
cnf(287,plain,
( ~ n0(X0,X1)
| ~ q2(X0,X1,X2)
| q3(X1,X2) ),
inference(cnf,[status(esa)],[rule_255]) ).
cnf(l18,plain,
( ~ n0(e,e)
| ~ q2(e,e,b)
| q3(e,b) ),
inference(instantiation,[status(thm)],[287]) ).
cnf(l272,plain,
n0(c,d),
inference(instantiation,[status(thm)],[33]) ).
cnf(164,plain,
( ~ q1(X0,X1,X1)
| k2(X1,X1) ),
inference(cnf,[status(esa)],[rule_129]) ).
cnf(l2061,plain,
( ~ q1(a,a,a)
| k2(a,a) ),
inference(instantiation,[status(thm)],[164]) ).
cnf(l2064,plain,
r0(e),
inference(instantiation,[status(thm)],[12]) ).
cnf(l22,plain,
n0(e,e),
inference(instantiation,[status(thm)],[29]) ).
cnf(l563,plain,
( ~ n0(e,e)
| ~ q2(e,e,b)
| q3(e,b) ),
inference(instantiation,[status(thm)],[287]) ).
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(l799,plain,
( ~ q0(a,b)
| ~ m0(a,X0_2060,a)
| ~ m1(b,c,b)
| m1(a,a,b) ),
inference(instantiation,[status(thm)],[61]) ).
cnf(l1346,plain,
s0(d),
inference(instantiation,[status(thm)],[0]) ).
cnf(118,plain,
( ~ k0(X0)
| ~ m1(X1,X0,b)
| p1(X1,b,X0) ),
inference(cnf,[status(esa)],[rule_083]) ).
cnf(l140,plain,
( ~ k0(e)
| ~ m1(b,e,b)
| p1(b,b,e) ),
inference(instantiation,[status(thm)],[118]) ).
cnf(l602,plain,
n0(e,e),
inference(instantiation,[status(thm)],[29]) ).
cnf(35,plain,
q0(a,b),
inference(cnf,[status(esa)],[axiom_36]) ).
cnf(l1344,plain,
q0(a,b),
inference(instantiation,[status(thm)],[35]) ).
cnf(l2072,plain,
( ~ r0(b)
| ~ p0(b,c)
| m1(b,c,b) ),
inference(instantiation,[status(thm)],[44]) ).
cnf(42,plain,
( ~ m0(X0,X0,X1)
| m1(X1,X0,X1) ),
inference(cnf,[status(esa)],[rule_005]) ).
cnf(l1597,plain,
( ~ m0(d,d,a)
| m1(a,d,a) ),
inference(instantiation,[status(thm)],[42]) ).
cnf(l144,plain,
k0(e),
inference(instantiation,[status(thm)],[27]) ).
cnf(l160,plain,
( ~ r0(b)
| ~ p0(b,e)
| m1(b,e,b) ),
inference(instantiation,[status(thm)],[44]) ).
cnf(l2060,plain,
m0(a,X0_2060,a),
inference(instantiation,[status(thm)],[11]) ).
cnf(l558,plain,
( ~ q0(e,d)
| ~ s1(b)
| s1(e) ),
inference(instantiation,[status(thm)],[161]) ).
cnf(8,plain,
r0(b),
inference(cnf,[status(esa)],[axiom_9]) ).
cnf(l2101,plain,
r0(b),
inference(instantiation,[status(thm)],[8]) ).
cnf(l1100,plain,
r0(b),
inference(instantiation,[status(thm)],[8]) ).
cnf(l566,plain,
( ~ p0(b,b)
| s1(b) ),
inference(instantiation,[status(thm)],[160]) ).
cnf(l554,plain,
( ~ n0(e,e)
| k1(e) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(l556,plain,
( ~ l1(a,a)
| ~ p1(a,a,a)
| ~ p2(a,e,a)
| p2(a,e,e) ),
inference(instantiation,[status(thm)],[180]) ).
cnf(220,plain,
( ~ l1(X0,X1)
| q2(X1,X1,X0) ),
inference(cnf,[status(esa)],[rule_186]) ).
cnf(l181,plain,
( ~ l1(b,e)
| q2(e,e,b) ),
inference(instantiation,[status(thm)],[220]) ).
cnf(l595,plain,
l0(a),
inference(instantiation,[status(thm)],[19]) ).
cnf(40,plain,
( ~ r0(X0)
| ~ p0(X1,X2)
| ~ m0(X3,X2,X1)
| l1(X2,X3) ),
inference(cnf,[status(esa)],[rule_003]) ).
cnf(l198,plain,
( ~ r0(b)
| ~ p0(c,b)
| ~ m0(e,b,c)
| l1(b,e) ),
inference(instantiation,[status(thm)],[40]) ).
cnf(l2054,plain,
l0(a),
inference(instantiation,[status(thm)],[19]) ).
cnf(l1599,plain,
m0(d,d,a),
inference(instantiation,[status(thm)],[18]) ).
cnf(l1870,plain,
( ~ m0(a,a,a)
| ~ p1(a,a,a)
| p1(a,e,a) ),
inference(instantiation,[status(thm)],[117]) ).
cnf(41,plain,
( ~ l0(X0)
| ~ k1(X1)
| ~ l1(X0,X0)
| l1(X1,X1) ),
inference(cnf,[status(esa)],[rule_004]) ).
cnf(l559,plain,
( ~ l0(c)
| ~ k1(a)
| ~ l1(c,c)
| l1(a,a) ),
inference(instantiation,[status(thm)],[41]) ).
cnf(l1174,plain,
n0(e,e),
inference(instantiation,[status(thm)],[29]) ).
cnf(l1074,plain,
p0(b,e),
inference(instantiation,[status(thm)],[13]) ).
cnf(21,plain,
p0(b,c),
inference(cnf,[status(esa)],[axiom_22]) ).
cnf(l2096,plain,
p0(b,c),
inference(instantiation,[status(thm)],[21]) ).
cnf(l605,plain,
p0(b,b),
inference(instantiation,[status(thm)],[13]) ).
cnf(l1648,plain,
r0(b),
inference(instantiation,[status(thm)],[8]) ).
cnf(126,plain,
( ~ q0(X0,X1)
| ~ k1(X2)
| ~ n1(X0,X3,X4)
| p1(X3,X3,X3) ),
inference(cnf,[status(esa)],[rule_091]) ).
cnf(l656,plain,
( ~ q0(c,d)
| ~ k1(c)
| ~ n1(c,a,c)
| p1(a,a,a) ),
inference(instantiation,[status(thm)],[126]) ).
cnf(l971,plain,
( ~ m1(e,a,e)
| p2(a,e,a) ),
inference(instantiation,[status(thm)],[210]) ).
cnf(l546,plain,
( ~ s0(d)
| ~ q0(a,d)
| ~ q1(d,d,d)
| r1(a) ),
inference(instantiation,[status(thm)],[159]) ).
cnf(l2080,plain,
( ~ n0(b,a)
| k1(a) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(l2075,plain,
( ~ n0(d,c)
| l1(c,c) ),
inference(instantiation,[status(thm)],[39]) ).
cnf(l564,plain,
( ~ l1(b,e)
| q2(e,e,b) ),
inference(instantiation,[status(thm)],[220]) ).
cnf(26,plain,
m0(e,b,c),
inference(cnf,[status(esa)],[axiom_27]) ).
cnf(l2058,plain,
m0(e,b,c),
inference(instantiation,[status(thm)],[26]) ).
cnf(116,plain,
( ~ q0(X0,X1)
| ~ l0(X2)
| ~ m1(X3,X0,X4)
| p1(X4,X4,X4) ),
inference(cnf,[status(esa)],[rule_081]) ).
cnf(l1942,plain,
( ~ q0(a,d)
| ~ l0(a)
| ~ m1(a,a,a)
| p1(a,a,a) ),
inference(instantiation,[status(thm)],[116]) ).
cnf(86,plain,
( ~ s0(b)
| ~ p0(b,X0)
| ~ l0(X1)
| n1(X1,X0,X1) ),
inference(cnf,[status(esa)],[rule_050]) ).
cnf(l2153,plain,
( ~ s0(b)
| ~ p0(b,a)
| ~ l0(c)
| n1(c,a,c) ),
inference(instantiation,[status(thm)],[86]) ).
cnf(l2073,plain,
l0(a),
inference(instantiation,[status(thm)],[19]) ).
cnf(25,plain,
n0(d,c),
inference(cnf,[status(esa)],[axiom_26]) ).
cnf(l2076,plain,
n0(d,c),
inference(instantiation,[status(thm)],[25]) ).
cnf(l972,plain,
( ~ r0(e)
| ~ p0(b,a)
| m1(e,a,e) ),
inference(instantiation,[status(thm)],[44]) ).
cnf(4,plain,
s0(b),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l2157,plain,
s0(b),
inference(instantiation,[status(thm)],[4]) ).
cnf(128,plain,
( ~ q0(X0,X1)
| q1(X1,X1,X1) ),
inference(cnf,[status(esa)],[rule_093]) ).
cnf(l547,plain,
( ~ q0(e,d)
| q1(d,d,d) ),
inference(instantiation,[status(thm)],[128]) ).
cnf(l1512,plain,
m0(a,e,a),
inference(instantiation,[status(thm)],[11]) ).
cnf(l548,plain,
q0(e,d),
inference(instantiation,[status(thm)],[1]) ).
cnf(l2099,plain,
r0(e),
inference(instantiation,[status(thm)],[12]) ).
cnf(l549,plain,
s0(d),
inference(instantiation,[status(thm)],[0]) ).
cnf(145,plain,
( ~ m0(X0,X1,X2)
| q1(X2,X2,X2) ),
inference(cnf,[status(esa)],[rule_110]) ).
cnf(l2062,plain,
( ~ m0(b,a,a)
| q1(a,a,a) ),
inference(instantiation,[status(thm)],[145]) ).
cnf(l2094,plain,
p0(b,a),
inference(instantiation,[status(thm)],[13]) ).
cnf(l551,plain,
q0(a,d),
inference(instantiation,[status(thm)],[16]) ).
cnf(l2154,plain,
l0(c),
inference(instantiation,[status(thm)],[23]) ).
cnf(l2158,plain,
n0(b,a),
inference(instantiation,[status(thm)],[36]) ).
cnf(l1586,plain,
s0(d),
inference(instantiation,[status(thm)],[0]) ).
cnf(l567,plain,
( ~ r0(e)
| ~ p0(c,b)
| ~ m0(e,b,c)
| l1(b,e) ),
inference(instantiation,[status(thm)],[40]) ).
cnf(l2085,plain,
q0(c,d),
inference(instantiation,[status(thm)],[16]) ).
cnf(l2114,plain,
( ~ n0(d,c)
| k1(c) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(l615,plain,
r0(e),
inference(instantiation,[status(thm)],[12]) ).
cnf(17,plain,
p0(c,b),
inference(cnf,[status(esa)],[axiom_18]) ).
cnf(l1647,plain,
p0(c,b),
inference(instantiation,[status(thm)],[17]) ).
cnf(60,plain,
( ~ s0(d)
| ~ l0(a)
| m1(a,a,a) ),
inference(cnf,[status(esa)],[rule_023]) ).
cnf(l2089,plain,
( ~ s0(d)
| ~ l0(a)
| m1(a,a,a) ),
inference(instantiation,[status(thm)],[60]) ).
cnf(l2155,plain,
n0(d,c),
inference(instantiation,[status(thm)],[25]) ).
cnf(l716,plain,
p0(c,b),
inference(instantiation,[status(thm)],[17]) ).
cnf(l2057,plain,
m0(e,b,c),
inference(instantiation,[status(thm)],[26]) ).
cnf(l2156,plain,
p0(b,a),
inference(instantiation,[status(thm)],[13]) ).
cnf(l579,plain,
q0(e,d),
inference(instantiation,[status(thm)],[1]) ).
cnf(l2140,plain,
s0(d),
inference(instantiation,[status(thm)],[0]) ).
cnf(l2082,plain,
l0(c),
inference(instantiation,[status(thm)],[23]) ).
cnf(l2083,plain,
q0(a,d),
inference(instantiation,[status(thm)],[16]) ).
cnf(l1905,plain,
m0(a,a,a),
inference(instantiation,[status(thm)],[11]) ).
cnf(l2063,plain,
m0(b,a,a),
inference(instantiation,[status(thm)],[37]) ).
cnf(l2161,plain,
l0(a),
inference(instantiation,[status(thm)],[19]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l7,l2,l10,l1110,l414,l4,l418,l13,l1132,l27,l16,l55,l177,l429,l6,l17,l1315,l92,l45,l14,l12,l41,l2037,l2047,l182,l2048,l11,l432,l2038,l2049,l3,l72,l40,l1015,l8,l431,l785,l557,l439,l1109,l2043,l15,l2050,l2055,l1120,l134,l2051,l31,l1112,l74,l2056,l25,l50,l28,l1507,l386,l2042,l2052,l1508,l24,l113,l387,l2053,l2068,l53,l263,l1510,l1343,l2059,l18,l272,l2061,l2064,l22,l563,l799,l1346,l140,l602,l1344,l2072,l1597,l144,l160,l2060,l558,l2101,l1100,l566,l554,l556,l181,l595,l198,l2054,l1599,l1870,l559,l1174,l1074,l2096,l605,l1648,l656,l971,l546,l2080,l2075,l564,l2058,l1942,l2153,l2073,l2076,l972,l2157,l547,l1512,l548,l2099,l549,l2062,l2094,l551,l2154,l2158,l1586,l567,l2085,l2114,l615,l1647,l2089,l2155,l716,l2057,l2156,l579,l2140,l2082,l2083,l1905,l2063,l2161]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN163-1 : TPTP v9.0.0. Released v1.1.0.
% 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 22 15:39:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.20/0.35 % launching worker at depth: 2
% 0.20/0.35 % launching worker at depth: 7
% 0.20/0.35 % launching worker at depth: 3
% 0.20/0.35 % launching worker at depth: 8
% 0.20/0.35 % launching worker at depth: 4
% 0.20/0.35 % launching worker at depth: 5
% 0.20/0.35 % launching worker at depth: 6
% 0.20/0.35 % launching worker at depth: 1
% 0.20/0.35 % launching worker at depth: 9
% 0.20/0.35 % launching worker at depth: 10
% 0.20/0.37 % launching worker at depth: 11
% 0.20/0.37 % launching worker at depth: 12
% 0.20/0.53 % launching worker at depth: 13
% 5.92/1.12 % launching worker at depth: 14
% 27.40/3.79 % SZS status Theorem for theBenchmark
% 27.40/3.79 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------