%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN269-1 : 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 : n023.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 09:27:16 PM UTC 2025
% Result : Unsatisfiable 0.20s 0.42s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_this)
% Comments :
%------------------------------------------------------------------------------
cnf(361,plain,
~ p4(b,a,a),
inference(cnf,[status(esa)],[prove_this]) ).
cnf(l0,plain,
~ p4(b,a,a),
inference(instantiation,[status(thm)],[361]) ).
cnf(318,plain,
( ~ r3(X0,X0,X1)
| ~ p4(X2,X2,X3)
| p4(X1,X0,X0) ),
inference(cnf,[status(esa)],[rule_288]) ).
cnf(l1,plain,
( ~ r3(a,a,b)
| ~ p4(d,d,d)
| p4(b,a,a) ),
inference(instantiation,[status(thm)],[318]) ).
cnf(300,plain,
( ~ m2(X0)
| ~ m3(X1,b,X2)
| ~ r3(X0,X3,X3)
| r3(X2,X2,X0) ),
inference(cnf,[status(esa)],[rule_268]) ).
cnf(l2,plain,
( ~ m2(b)
| ~ m3(a,b,a)
| ~ r3(b,b,b)
| r3(a,a,b) ),
inference(instantiation,[status(thm)],[300]) ).
cnf(170,plain,
( ~ k1(b)
| m2(b) ),
inference(cnf,[status(esa)],[rule_136]) ).
cnf(l3,plain,
( ~ k1(b)
| m2(b) ),
inference(instantiation,[status(thm)],[170]) ).
cnf(317,plain,
( ~ k3(X0,X0,X1)
| p4(X0,X1,X0) ),
inference(cnf,[status(esa)],[rule_287]) ).
cnf(l4,plain,
( ~ k3(d,d,d)
| p4(d,d,d) ),
inference(instantiation,[status(thm)],[317]) ).
cnf(263,plain,
( ~ k2(c,X0)
| ~ r2(X1)
| m3(X1,X0,X1) ),
inference(cnf,[status(esa)],[rule_231]) ).
cnf(l5,plain,
( ~ k2(c,b)
| ~ r2(a)
| m3(a,b,a) ),
inference(instantiation,[status(thm)],[263]) ).
cnf(294,plain,
( ~ p1(X0,X1,X2)
| ~ l2(X1,X0)
| ~ r3(X2,X0,X2)
| r3(X2,X2,X2) ),
inference(cnf,[status(esa)],[rule_262]) ).
cnf(l6,plain,
( ~ p1(e,b,b)
| ~ l2(b,e)
| ~ r3(b,e,b)
| r3(b,b,b) ),
inference(instantiation,[status(thm)],[294]) ).
cnf(245,plain,
( ~ r1(X0)
| ~ p2(X1,X2,X2)
| k3(X0,X0,X0) ),
inference(cnf,[status(esa)],[rule_213]) ).
cnf(l7,plain,
( ~ r1(d)
| ~ p2(d,d,d)
| k3(d,d,d) ),
inference(instantiation,[status(thm)],[245]) ).
cnf(162,plain,
( ~ k1(X0)
| ~ m1(X1,X2,X3)
| ~ k2(X0,X2)
| k2(X3,X2) ),
inference(cnf,[status(esa)],[rule_127]) ).
cnf(l8,plain,
( ~ k1(e)
| ~ m1(c,b,c)
| ~ k2(e,b)
| k2(c,b) ),
inference(instantiation,[status(thm)],[162]) ).
cnf(58,plain,
( ~ l0(X0)
| ~ k0(X1)
| m1(X0,X1,X0) ),
inference(cnf,[status(esa)],[rule_021]) ).
cnf(l9,plain,
( ~ l0(c)
| ~ k0(b)
| m1(c,b,c) ),
inference(instantiation,[status(thm)],[58]) ).
cnf(185,plain,
( ~ s0(d)
| ~ k1(d)
| p2(d,d,d) ),
inference(cnf,[status(esa)],[rule_151]) ).
cnf(l10,plain,
( ~ s0(d)
| ~ k1(d)
| p2(d,d,d) ),
inference(instantiation,[status(thm)],[185]) ).
cnf(166,plain,
( ~ n0(e,X0)
| ~ s1(X1)
| ~ l2(X0,X0)
| l2(X1,X0) ),
inference(cnf,[status(esa)],[rule_131]) ).
cnf(l11,plain,
( ~ n0(e,e)
| ~ s1(b)
| ~ l2(e,e)
| l2(b,e) ),
inference(instantiation,[status(thm)],[166]) ).
cnf(29,plain,
n0(e,e),
inference(cnf,[status(esa)],[axiom_30]) ).
cnf(l12,plain,
n0(e,e),
inference(instantiation,[status(thm)],[29]) ).
cnf(0,plain,
s0(d),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l13,plain,
s0(d),
inference(instantiation,[status(thm)],[0]) ).
cnf(38,plain,
( ~ n0(X0,X1)
| k1(X1) ),
inference(cnf,[status(esa)],[rule_001]) ).
cnf(l14,plain,
( ~ n0(e,e)
| k1(e) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(23,plain,
l0(c),
inference(cnf,[status(esa)],[axiom_24]) ).
cnf(l15,plain,
l0(c),
inference(instantiation,[status(thm)],[23]) ).
cnf(160,plain,
( ~ p0(X0,X0)
| s1(X0) ),
inference(cnf,[status(esa)],[rule_125]) ).
cnf(l16,plain,
( ~ p0(b,b)
| s1(b) ),
inference(instantiation,[status(thm)],[160]) ).
cnf(167,plain,
( ~ p0(X0,X0)
| ~ m0(X1,X2,X3)
| ~ s1(X2)
| l2(X3,X3) ),
inference(cnf,[status(esa)],[rule_133]) ).
cnf(l17,plain,
( ~ p0(b,b)
| ~ m0(X0_40,d,e)
| ~ s1(d)
| l2(e,e) ),
inference(instantiation,[status(thm)],[167]) ).
cnf(31,plain,
k0(b),
inference(cnf,[status(esa)],[axiom_32]) ).
cnf(l18,plain,
k0(b),
inference(instantiation,[status(thm)],[31]) ).
cnf(l19,plain,
n0(e,e),
inference(instantiation,[status(thm)],[29]) ).
cnf(l20,plain,
( ~ k1(a)
| ~ m1(b,b,e)
| ~ k2(a,b)
| k2(e,b) ),
inference(instantiation,[status(thm)],[162]) ).
cnf(13,plain,
p0(b,X0),
inference(cnf,[status(esa)],[axiom_14]) ).
cnf(l21,plain,
p0(b,b),
inference(instantiation,[status(thm)],[13]) ).
cnf(222,plain,
( ~ l0(X0)
| ~ r1(X0)
| r2(X0) ),
inference(cnf,[status(esa)],[rule_188]) ).
cnf(l22,plain,
( ~ l0(a)
| ~ r1(a)
| r2(a) ),
inference(instantiation,[status(thm)],[222]) ).
cnf(159,plain,
( ~ s0(d)
| ~ q0(X0,X1)
| ~ q1(d,X1,d)
| r1(X0) ),
inference(cnf,[status(esa)],[rule_124]) ).
cnf(l23,plain,
( ~ s0(d)
| ~ q0(a,d)
| ~ q1(d,d,d)
| r1(a) ),
inference(instantiation,[status(thm)],[159]) ).
cnf(l24,plain,
s0(d),
inference(instantiation,[status(thm)],[0]) ).
cnf(l25,plain,
p0(b,b),
inference(instantiation,[status(thm)],[13]) ).
cnf(l26,plain,
( ~ k1(b)
| ~ m1(a,b,a)
| ~ k2(b,b)
| k2(a,b) ),
inference(instantiation,[status(thm)],[162]) ).
cnf(l35,plain,
( ~ n0(b,a)
| k1(a) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(48,plain,
( ~ n0(X0,X0)
| ~ k0(X1)
| m1(X1,X1,X0) ),
inference(cnf,[status(esa)],[rule_011]) ).
cnf(l27,plain,
( ~ n0(e,e)
| ~ k0(b)
| m1(b,b,e) ),
inference(instantiation,[status(thm)],[48]) ).
cnf(118,plain,
( ~ k0(X0)
| ~ m1(X1,X0,b)
| p1(X1,b,X0) ),
inference(cnf,[status(esa)],[rule_083]) ).
cnf(l30,plain,
( ~ k0(b)
| ~ m1(e,b,b)
| p1(e,b,b) ),
inference(instantiation,[status(thm)],[118]) ).
cnf(16,plain,
q0(X0,d),
inference(cnf,[status(esa)],[axiom_17]) ).
cnf(l32,plain,
q0(a,d),
inference(instantiation,[status(thm)],[16]) ).
cnf(18,plain,
m0(X0,d,X1),
inference(cnf,[status(esa)],[axiom_19]) ).
cnf(l40,plain,
m0(X0_40,d,e),
inference(instantiation,[status(thm)],[18]) ).
cnf(161,plain,
( ~ q0(X0,X1)
| ~ s1(X2)
| s1(X0) ),
inference(cnf,[status(esa)],[rule_126]) ).
cnf(l45,plain,
( ~ q0(d,c)
| ~ s1(a)
| s1(d) ),
inference(instantiation,[status(thm)],[161]) ).
cnf(l38,plain,
( ~ n0(e,b)
| k1(b) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(l42,plain,
k0(b),
inference(instantiation,[status(thm)],[31]) ).
cnf(36,plain,
n0(b,a),
inference(cnf,[status(esa)],[axiom_37]) ).
cnf(l98,plain,
n0(b,a),
inference(instantiation,[status(thm)],[36]) ).
cnf(l43,plain,
( ~ s0(d)
| ~ q0(d,d)
| ~ q1(d,d,d)
| r1(d) ),
inference(instantiation,[status(thm)],[159]) ).
cnf(19,plain,
l0(a),
inference(cnf,[status(esa)],[axiom_20]) ).
cnf(l46,plain,
l0(a),
inference(instantiation,[status(thm)],[19]) ).
cnf(10,plain,
n0(e,b),
inference(cnf,[status(esa)],[axiom_11]) ).
cnf(l47,plain,
n0(e,b),
inference(instantiation,[status(thm)],[10]) ).
cnf(l31,plain,
k0(b),
inference(instantiation,[status(thm)],[31]) ).
cnf(132,plain,
( ~ s0(X0)
| q1(X0,X0,X0) ),
inference(cnf,[status(esa)],[rule_097]) ).
cnf(l65,plain,
( ~ s0(d)
| q1(d,d,d) ),
inference(instantiation,[status(thm)],[132]) ).
cnf(l48,plain,
n0(e,e),
inference(instantiation,[status(thm)],[29]) ).
cnf(l67,plain,
( ~ q0(a,b)
| ~ s1(b)
| s1(a) ),
inference(instantiation,[status(thm)],[161]) ).
cnf(l99,plain,
( ~ p0(b,b)
| s1(b) ),
inference(instantiation,[status(thm)],[160]) ).
cnf(32,plain,
q0(d,c),
inference(cnf,[status(esa)],[axiom_33]) ).
cnf(l51,plain,
q0(d,c),
inference(instantiation,[status(thm)],[32]) ).
cnf(24,plain,
q0(d,d),
inference(cnf,[status(esa)],[axiom_25]) ).
cnf(l57,plain,
q0(d,d),
inference(instantiation,[status(thm)],[24]) ).
cnf(127,plain,
( ~ p0(X0,X1)
| ~ n0(X2,X3)
| q1(X1,X3,X1) ),
inference(cnf,[status(esa)],[rule_092]) ).
cnf(l29,plain,
( ~ p0(b,d)
| ~ n0(c,d)
| q1(d,d,d) ),
inference(instantiation,[status(thm)],[127]) ).
cnf(33,plain,
n0(c,d),
inference(cnf,[status(esa)],[axiom_34]) ).
cnf(l79,plain,
n0(c,d),
inference(instantiation,[status(thm)],[33]) ).
cnf(l44,plain,
p0(b,d),
inference(instantiation,[status(thm)],[13]) ).
cnf(l49,plain,
s0(d),
inference(instantiation,[status(thm)],[0]) ).
cnf(l100,plain,
s0(d),
inference(instantiation,[status(thm)],[0]) ).
cnf(l101,plain,
p0(b,b),
inference(instantiation,[status(thm)],[13]) ).
cnf(35,plain,
q0(a,b),
inference(cnf,[status(esa)],[axiom_36]) ).
cnf(l104,plain,
q0(a,b),
inference(instantiation,[status(thm)],[35]) ).
cnf(299,plain,
( ~ p2(X0,X1,X2)
| r3(X0,X2,X0) ),
inference(cnf,[status(esa)],[rule_267]) ).
cnf(l33,plain,
( ~ p2(b,e,e)
| r3(b,e,b) ),
inference(instantiation,[status(thm)],[299]) ).
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(l36,plain,
( ~ l1(b,b)
| ~ p1(b,b,b)
| ~ p2(b,e,b)
| p2(b,e,e) ),
inference(instantiation,[status(thm)],[180]) ).
cnf(53,plain,
( ~ m1(X0,X1,X2)
| ~ m1(X0,X3,X1)
| m1(X2,X1,X1) ),
inference(cnf,[status(esa)],[rule_016]) ).
cnf(l60,plain,
( ~ m1(b,b,e)
| ~ m1(b,b,b)
| m1(e,b,b) ),
inference(instantiation,[status(thm)],[53]) ).
cnf(114,plain,
( ~ l0(c)
| ~ k0(e)
| ~ k1(X0)
| p1(X0,X0,X0) ),
inference(cnf,[status(esa)],[rule_079]) ).
cnf(l61,plain,
( ~ l0(c)
| ~ k0(e)
| ~ k1(b)
| p1(b,b,b) ),
inference(instantiation,[status(thm)],[114]) ).
cnf(70,plain,
( ~ q0(X0,X0)
| ~ m1(X1,X0,X2)
| m1(X2,X2,X2) ),
inference(cnf,[status(esa)],[rule_033]) ).
cnf(l62,plain,
( ~ q0(d,d)
| ~ m1(b,d,b)
| m1(b,b,b) ),
inference(instantiation,[status(thm)],[70]) ).
cnf(l85,plain,
( ~ n0(e,e)
| ~ k0(b)
| m1(b,b,e) ),
inference(instantiation,[status(thm)],[48]) ).
cnf(l117,plain,
q0(d,d),
inference(instantiation,[status(thm)],[24]) ).
cnf(27,plain,
k0(e),
inference(cnf,[status(esa)],[axiom_28]) ).
cnf(l119,plain,
k0(e),
inference(instantiation,[status(thm)],[27]) ).
cnf(l28,plain,
( ~ l0(a)
| ~ k0(b)
| m1(a,b,a) ),
inference(instantiation,[status(thm)],[58]) ).
cnf(l116,plain,
k0(b),
inference(instantiation,[status(thm)],[31]) ).
cnf(l34,plain,
( ~ n0(e,b)
| k1(b) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(l59,plain,
k0(b),
inference(instantiation,[status(thm)],[31]) ).
cnf(l76,plain,
l0(c),
inference(instantiation,[status(thm)],[23]) ).
cnf(l126,plain,
( ~ n0(d,b)
| k1(b) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(l109,plain,
n0(e,e),
inference(instantiation,[status(thm)],[29]) ).
cnf(204,plain,
( ~ n1(X0,e,e)
| p2(X0,e,X0) ),
inference(cnf,[status(esa)],[rule_170]) ).
cnf(l55,plain,
( ~ n1(b,e,e)
| p2(b,e,b) ),
inference(instantiation,[status(thm)],[204]) ).
cnf(164,plain,
( ~ q1(X0,X1,X1)
| k2(X1,X1) ),
inference(cnf,[status(esa)],[rule_129]) ).
cnf(l52,plain,
( ~ q1(b,b,b)
| k2(b,b) ),
inference(instantiation,[status(thm)],[164]) ).
cnf(42,plain,
( ~ m0(X0,X0,X1)
| m1(X1,X0,X1) ),
inference(cnf,[status(esa)],[rule_005]) ).
cnf(l94,plain,
( ~ m0(d,d,b)
| m1(b,d,b) ),
inference(instantiation,[status(thm)],[42]) ).
cnf(l39,plain,
( ~ n0(c,d)
| k1(d) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(77,plain,
( ~ m0(X0,X1,e)
| ~ k1(X0)
| n1(X0,e,e) ),
inference(cnf,[status(esa)],[rule_040]) ).
cnf(l64,plain,
( ~ m0(b,b,e)
| ~ k1(b)
| n1(b,e,e) ),
inference(instantiation,[status(thm)],[77]) ).
cnf(l53,plain,
( ~ p0(c,b)
| ~ n0(e,b)
| q1(b,b,b) ),
inference(instantiation,[status(thm)],[127]) ).
cnf(l70,plain,
l0(a),
inference(instantiation,[status(thm)],[19]) ).
cnf(17,plain,
p0(c,b),
inference(cnf,[status(esa)],[axiom_18]) ).
cnf(l118,plain,
p0(c,b),
inference(instantiation,[status(thm)],[17]) ).
cnf(l41,plain,
n0(c,d),
inference(instantiation,[status(thm)],[33]) ).
cnf(l37,plain,
n0(e,b),
inference(instantiation,[status(thm)],[10]) ).
cnf(l106,plain,
n0(e,b),
inference(instantiation,[status(thm)],[10]) ).
cnf(30,plain,
m0(b,b,e),
inference(cnf,[status(esa)],[axiom_31]) ).
cnf(l77,plain,
m0(b,b,e),
inference(instantiation,[status(thm)],[30]) ).
cnf(41,plain,
( ~ l0(X0)
| ~ k1(X1)
| ~ l1(X0,X0)
| l1(X1,X1) ),
inference(cnf,[status(esa)],[rule_004]) ).
cnf(l54,plain,
( ~ l0(a)
| ~ k1(b)
| ~ l1(a,a)
| l1(b,b) ),
inference(instantiation,[status(thm)],[41]) ).
cnf(l56,plain,
( ~ n0(e,b)
| k1(b) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(39,plain,
( ~ n0(X0,X1)
| l1(X1,X1) ),
inference(cnf,[status(esa)],[rule_002]) ).
cnf(l68,plain,
( ~ n0(b,a)
| l1(a,a) ),
inference(instantiation,[status(thm)],[39]) ).
cnf(l113,plain,
( ~ n0(e,b)
| k1(b) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(6,plain,
n0(d,b),
inference(cnf,[status(esa)],[axiom_7]) ).
cnf(l130,plain,
n0(d,b),
inference(instantiation,[status(thm)],[6]) ).
cnf(l134,plain,
m0(d,d,b),
inference(instantiation,[status(thm)],[18]) ).
cnf(l121,plain,
n0(e,b),
inference(instantiation,[status(thm)],[10]) ).
cnf(l87,plain,
l0(a),
inference(instantiation,[status(thm)],[19]) ).
cnf(l73,plain,
n0(e,b),
inference(instantiation,[status(thm)],[10]) ).
cnf(l129,plain,
n0(b,a),
inference(instantiation,[status(thm)],[36]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l6,l7,l8,l9,l10,l11,l12,l13,l14,l15,l16,l17,l18,l19,l20,l21,l22,l23,l24,l25,l26,l35,l27,l30,l32,l40,l45,l38,l42,l98,l43,l46,l47,l31,l65,l48,l67,l99,l51,l57,l29,l79,l44,l49,l100,l101,l104,l33,l36,l60,l61,l62,l85,l117,l119,l28,l116,l34,l59,l76,l126,l109,l55,l52,l94,l39,l64,l53,l70,l118,l41,l37,l106,l77,l54,l56,l68,l113,l130,l134,l121,l87,l73,l129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN269-1 : TPTP v9.0.0. Released v1.1.0.
% 0.06/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n023.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 15:46:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.35 % launching worker at depth: 11
% 0.13/0.35 % launching worker at depth: 12
% 0.13/0.38 % launching worker at depth: 13
% 0.20/0.42 % SZS status Theorem for theBenchmark
% 0.20/0.42 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------