%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN129-1 : 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 : 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 09:26:56 PM UTC 2025
% Result : Unsatisfiable 0.12s 0.33s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_this)
% Comments :
%------------------------------------------------------------------------------
cnf(361,plain,
~ l5(e),
inference(cnf,[status(esa)],[prove_this]) ).
cnf(l0,plain,
~ l5(e),
inference(instantiation,[status(thm)],[361]) ).
cnf(332,plain,
( ~ k1(X0)
| ~ q4(X1,X1)
| l5(X0) ),
inference(cnf,[status(esa)],[rule_302]) ).
cnf(l1,plain,
( ~ k1(e)
| ~ q4(d,d)
| l5(e) ),
inference(instantiation,[status(thm)],[332]) ).
cnf(38,plain,
( ~ n0(X0,X1)
| k1(X1) ),
inference(cnf,[status(esa)],[rule_001]) ).
cnf(l2,plain,
( ~ n0(d,e)
| k1(e) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(2,plain,
n0(d,e),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l3,plain,
n0(d,e),
inference(instantiation,[status(thm)],[2]) ).
cnf(326,plain,
( ~ r1(X0)
| ~ l4(X1)
| ~ q4(X1,X2)
| q4(X0,X0) ),
inference(cnf,[status(esa)],[rule_296]) ).
cnf(l4,plain,
( ~ r1(d)
| ~ l4(d)
| ~ q4(d,a)
| q4(d,d) ),
inference(instantiation,[status(thm)],[326]) ).
cnf(309,plain,
( ~ m0(X0,X1,X1)
| ~ l4(X0)
| l4(X1) ),
inference(cnf,[status(esa)],[rule_278]) ).
cnf(l7,plain,
( ~ m0(e,d,d)
| ~ l4(e)
| l4(d) ),
inference(instantiation,[status(thm)],[309]) ).
cnf(l12,plain,
( ~ m0(a,e,e)
| ~ l4(a)
| l4(e) ),
inference(instantiation,[status(thm)],[309]) ).
cnf(22,plain,
m0(a,e,e),
inference(cnf,[status(esa)],[axiom_23]) ).
cnf(l13,plain,
m0(a,e,e),
inference(instantiation,[status(thm)],[22]) ).
cnf(159,plain,
( ~ s0(d)
| ~ q0(X0,X1)
| ~ q1(d,X1,d)
| r1(X0) ),
inference(cnf,[status(esa)],[rule_124]) ).
cnf(l5,plain,
( ~ s0(d)
| ~ q0(d,d)
| ~ q1(d,d,d)
| r1(d) ),
inference(instantiation,[status(thm)],[159]) ).
cnf(144,plain,
( ~ q0(X0,X1)
| ~ p0(X2,X2)
| ~ k1(X1)
| q1(X1,X1,X0) ),
inference(cnf,[status(esa)],[rule_109]) ).
cnf(l14,plain,
( ~ q0(d,d)
| ~ p0(b,b)
| ~ k1(d)
| q1(d,d,d) ),
inference(instantiation,[status(thm)],[144]) ).
cnf(24,plain,
q0(d,d),
inference(cnf,[status(esa)],[axiom_25]) ).
cnf(l15,plain,
q0(d,d),
inference(instantiation,[status(thm)],[24]) ).
cnf(l16,plain,
( ~ n0(c,d)
| k1(d) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(13,plain,
p0(b,X0),
inference(cnf,[status(esa)],[axiom_14]) ).
cnf(l17,plain,
p0(b,b),
inference(instantiation,[status(thm)],[13]) ).
cnf(18,plain,
m0(X0,d,X1),
inference(cnf,[status(esa)],[axiom_19]) ).
cnf(l9,plain,
m0(e,d,d),
inference(instantiation,[status(thm)],[18]) ).
cnf(308,plain,
( ~ p3(X0,X1,X2)
| l4(X2) ),
inference(cnf,[status(esa)],[rule_277]) ).
cnf(l18,plain,
( ~ p3(a,a,a)
| l4(a) ),
inference(instantiation,[status(thm)],[308]) ).
cnf(278,plain,
( ~ l2(X0,X0)
| p3(X0,X0,X0) ),
inference(cnf,[status(esa)],[rule_246]) ).
cnf(l19,plain,
( ~ l2(a,a)
| p3(a,a,a) ),
inference(instantiation,[status(thm)],[278]) ).
cnf(167,plain,
( ~ p0(X0,X0)
| ~ m0(X1,X2,X3)
| ~ s1(X2)
| l2(X3,X3) ),
inference(cnf,[status(esa)],[rule_133]) ).
cnf(l20,plain,
( ~ p0(b,b)
| ~ m0(a,b,a)
| ~ s1(b)
| l2(a,a) ),
inference(instantiation,[status(thm)],[167]) ).
cnf(160,plain,
( ~ p0(X0,X0)
| s1(X0) ),
inference(cnf,[status(esa)],[rule_125]) ).
cnf(l21,plain,
( ~ p0(b,b)
| s1(b) ),
inference(instantiation,[status(thm)],[160]) ).
cnf(33,plain,
n0(c,d),
inference(cnf,[status(esa)],[axiom_34]) ).
cnf(l22,plain,
n0(c,d),
inference(instantiation,[status(thm)],[33]) ).
cnf(11,plain,
m0(a,X0,a),
inference(cnf,[status(esa)],[axiom_12]) ).
cnf(l23,plain,
m0(a,b,a),
inference(instantiation,[status(thm)],[11]) ).
cnf(l24,plain,
q0(d,d),
inference(instantiation,[status(thm)],[24]) ).
cnf(l25,plain,
p0(b,b),
inference(instantiation,[status(thm)],[13]) ).
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(l8,plain,
( ~ q2(d,a,d)
| ~ k3(d,d,d)
| ~ m3(d,d,d)
| q4(d,a) ),
inference(instantiation,[status(thm)],[325]) ).
cnf(l26,plain,
p0(b,b),
inference(instantiation,[status(thm)],[13]) ).
cnf(0,plain,
s0(d),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l6,plain,
s0(d),
inference(instantiation,[status(thm)],[0]) ).
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(l27,plain,
( ~ p1(d,d,a)
| ~ n1(a,d,a)
| ~ q2(a,a,d)
| q2(d,a,d) ),
inference(instantiation,[status(thm)],[216]) ).
cnf(260,plain,
( ~ m2(X0)
| ~ n2(X1)
| ~ m3(X2,X1,X2)
| m3(X1,X0,X0) ),
inference(cnf,[status(esa)],[rule_228]) ).
cnf(l31,plain,
( ~ m2(d)
| ~ n2(d)
| ~ m3(a,d,a)
| m3(d,d,d) ),
inference(instantiation,[status(thm)],[260]) ).
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(l47,plain,
( ~ m0(a,a,a)
| ~ m0(d,d,d)
| ~ l2(a,a)
| ~ s2(d)
| m3(a,d,a) ),
inference(instantiation,[status(thm)],[257]) ).
cnf(224,plain,
( ~ s0(d)
| ~ s1(a)
| s2(d) ),
inference(cnf,[status(esa)],[rule_190]) ).
cnf(l48,plain,
( ~ s0(d)
| ~ s1(a)
| s2(d) ),
inference(instantiation,[status(thm)],[224]) ).
cnf(169,plain,
( ~ s0(X0)
| ~ l1(X1,X2)
| m2(X0) ),
inference(cnf,[status(esa)],[rule_135]) ).
cnf(l44,plain,
( ~ s0(d)
| ~ l1(c,c)
| m2(d) ),
inference(instantiation,[status(thm)],[169]) ).
cnf(41,plain,
( ~ l0(X0)
| ~ k1(X1)
| ~ l1(X0,X0)
| l1(X1,X1) ),
inference(cnf,[status(esa)],[rule_004]) ).
cnf(l53,plain,
( ~ l0(a)
| ~ k1(c)
| ~ l1(a,a)
| l1(c,c) ),
inference(instantiation,[status(thm)],[41]) ).
cnf(l52,plain,
m0(a,a,a),
inference(instantiation,[status(thm)],[11]) ).
cnf(l54,plain,
( ~ p0(b,b)
| ~ m0(c,b,a)
| ~ s1(b)
| l2(a,a) ),
inference(instantiation,[status(thm)],[167]) ).
cnf(l65,plain,
( ~ n0(d,c)
| k1(c) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(l50,plain,
m0(d,d,d),
inference(instantiation,[status(thm)],[18]) ).
cnf(25,plain,
n0(d,c),
inference(cnf,[status(esa)],[axiom_26]) ).
cnf(l66,plain,
n0(d,c),
inference(instantiation,[status(thm)],[25]) ).
cnf(l67,plain,
p0(b,b),
inference(instantiation,[status(thm)],[13]) ).
cnf(l57,plain,
( ~ p0(b,b)
| s1(b) ),
inference(instantiation,[status(thm)],[160]) ).
cnf(l55,plain,
s0(d),
inference(instantiation,[status(thm)],[0]) ).
cnf(l71,plain,
s0(d),
inference(instantiation,[status(thm)],[0]) ).
cnf(l75,plain,
p0(b,b),
inference(instantiation,[status(thm)],[13]) ).
cnf(220,plain,
( ~ l1(X0,X1)
| q2(X1,X1,X0) ),
inference(cnf,[status(esa)],[rule_186]) ).
cnf(l37,plain,
( ~ l1(d,a)
| q2(a,a,d) ),
inference(instantiation,[status(thm)],[220]) ).
cnf(39,plain,
( ~ n0(X0,X1)
| l1(X1,X1) ),
inference(cnf,[status(esa)],[rule_002]) ).
cnf(l64,plain,
( ~ n0(b,a)
| l1(a,a) ),
inference(instantiation,[status(thm)],[39]) ).
cnf(40,plain,
( ~ r0(X0)
| ~ p0(X1,X2)
| ~ m0(X3,X2,X1)
| l1(X2,X3) ),
inference(cnf,[status(esa)],[rule_003]) ).
cnf(l40,plain,
( ~ r0(e)
| ~ p0(b,d)
| ~ m0(a,d,b)
| l1(d,a) ),
inference(instantiation,[status(thm)],[40]) ).
cnf(15,plain,
m0(c,b,a),
inference(cnf,[status(esa)],[axiom_16]) ).
cnf(l60,plain,
m0(c,b,a),
inference(instantiation,[status(thm)],[15]) ).
cnf(117,plain,
( ~ m0(X0,X1,X2)
| ~ p1(X0,X1,X2)
| p1(X1,X3,X0) ),
inference(cnf,[status(esa)],[rule_082]) ).
cnf(l28,plain,
( ~ m0(a,d,a)
| ~ p1(a,d,a)
| p1(d,d,a) ),
inference(instantiation,[status(thm)],[117]) ).
cnf(86,plain,
( ~ s0(b)
| ~ p0(b,X0)
| ~ l0(X1)
| n1(X1,X0,X1) ),
inference(cnf,[status(esa)],[rule_050]) ).
cnf(l29,plain,
( ~ s0(b)
| ~ p0(b,d)
| ~ l0(a)
| n1(a,d,a) ),
inference(instantiation,[status(thm)],[86]) ).
cnf(244,plain,
( ~ m2(X0)
| k3(X0,X0,X0) ),
inference(cnf,[status(esa)],[rule_212]) ).
cnf(l11,plain,
( ~ m2(d)
| k3(d,d,d) ),
inference(instantiation,[status(thm)],[244]) ).
cnf(171,plain,
( ~ p1(X0,X1,X2)
| n2(X2) ),
inference(cnf,[status(esa)],[rule_137]) ).
cnf(l49,plain,
( ~ p1(d,d,d)
| n2(d) ),
inference(instantiation,[status(thm)],[171]) ).
cnf(107,plain,
( ~ s0(b)
| ~ l0(X0)
| ~ p1(X1,X2,X3)
| p1(X3,X1,X3) ),
inference(cnf,[status(esa)],[rule_071]) ).
cnf(l46,plain,
( ~ s0(b)
| ~ l0(c)
| ~ p1(d,X3_123,a)
| p1(a,d,a) ),
inference(instantiation,[status(thm)],[107]) ).
cnf(4,plain,
s0(b),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l36,plain,
s0(b),
inference(instantiation,[status(thm)],[4]) ).
cnf(l30,plain,
p0(b,d),
inference(instantiation,[status(thm)],[13]) ).
cnf(108,plain,
( ~ s0(X0)
| ~ s0(X1)
| p1(X0,X0,X0) ),
inference(cnf,[status(esa)],[rule_072]) ).
cnf(l58,plain,
( ~ s0(d)
| ~ s0(b)
| p1(d,d,d) ),
inference(instantiation,[status(thm)],[108]) ).
cnf(l62,plain,
s0(d),
inference(instantiation,[status(thm)],[0]) ).
cnf(12,plain,
r0(e),
inference(cnf,[status(esa)],[axiom_13]) ).
cnf(l116,plain,
r0(e),
inference(instantiation,[status(thm)],[12]) ).
cnf(l123,plain,
( ~ m0(a,d,b)
| ~ p1(a,d,b)
| p1(d,X3_123,a) ),
inference(instantiation,[status(thm)],[117]) ).
cnf(161,plain,
( ~ q0(X0,X1)
| ~ s1(X2)
| s1(X0) ),
inference(cnf,[status(esa)],[rule_126]) ).
cnf(l76,plain,
( ~ q0(a,d)
| ~ s1(b)
| s1(a) ),
inference(instantiation,[status(thm)],[161]) ).
cnf(19,plain,
l0(a),
inference(cnf,[status(esa)],[axiom_20]) ).
cnf(l56,plain,
l0(a),
inference(instantiation,[status(thm)],[19]) ).
cnf(l89,plain,
( ~ s0(d)
| ~ l1(a,a)
| m2(d) ),
inference(instantiation,[status(thm)],[169]) ).
cnf(l35,plain,
m0(a,d,a),
inference(instantiation,[status(thm)],[11]) ).
cnf(l125,plain,
( ~ m0(b,a,a)
| ~ p1(b,a,a)
| p1(a,d,b) ),
inference(instantiation,[status(thm)],[117]) ).
cnf(l121,plain,
s0(b),
inference(instantiation,[status(thm)],[4]) ).
cnf(36,plain,
n0(b,a),
inference(cnf,[status(esa)],[axiom_37]) ).
cnf(l68,plain,
n0(b,a),
inference(instantiation,[status(thm)],[36]) ).
cnf(23,plain,
l0(c),
inference(cnf,[status(esa)],[axiom_24]) ).
cnf(l122,plain,
l0(c),
inference(instantiation,[status(thm)],[23]) ).
cnf(l98,plain,
s0(d),
inference(instantiation,[status(thm)],[0]) ).
cnf(l32,plain,
l0(a),
inference(instantiation,[status(thm)],[19]) ).
cnf(9,plain,
p0(b,d),
inference(cnf,[status(esa)],[axiom_10]) ).
cnf(l117,plain,
p0(b,d),
inference(instantiation,[status(thm)],[9]) ).
cnf(l90,plain,
( ~ n0(b,a)
| l1(a,a) ),
inference(instantiation,[status(thm)],[39]) ).
cnf(l126,plain,
( ~ m0(a,b,a)
| ~ p1(a,b,a)
| p1(b,a,a) ),
inference(instantiation,[status(thm)],[117]) ).
cnf(l87,plain,
( ~ p0(b,b)
| s1(b) ),
inference(instantiation,[status(thm)],[160]) ).
cnf(37,plain,
m0(b,a,a),
inference(cnf,[status(esa)],[axiom_38]) ).
cnf(l127,plain,
m0(b,a,a),
inference(instantiation,[status(thm)],[37]) ).
cnf(l120,plain,
m0(a,d,b),
inference(instantiation,[status(thm)],[18]) ).
cnf(l108,plain,
n0(b,a),
inference(instantiation,[status(thm)],[36]) ).
cnf(l69,plain,
s0(b),
inference(instantiation,[status(thm)],[4]) ).
cnf(16,plain,
q0(X0,d),
inference(cnf,[status(esa)],[axiom_17]) ).
cnf(l88,plain,
q0(a,d),
inference(instantiation,[status(thm)],[16]) ).
cnf(l128,plain,
m0(a,b,a),
inference(instantiation,[status(thm)],[11]) ).
cnf(l124,plain,
m0(a,d,b),
inference(instantiation,[status(thm)],[18]) ).
cnf(l101,plain,
p0(b,b),
inference(instantiation,[status(thm)],[13]) ).
cnf(122,plain,
( ~ r0(b)
| ~ p1(a,a,a)
| p1(a,b,a) ),
inference(cnf,[status(esa)],[rule_087]) ).
cnf(l129,plain,
( ~ r0(b)
| ~ p1(a,a,a)
| p1(a,b,a) ),
inference(instantiation,[status(thm)],[122]) ).
cnf(8,plain,
r0(b),
inference(cnf,[status(esa)],[axiom_9]) ).
cnf(l130,plain,
r0(b),
inference(instantiation,[status(thm)],[8]) ).
cnf(111,plain,
( ~ p0(b,a)
| p1(a,a,a) ),
inference(cnf,[status(esa)],[rule_075]) ).
cnf(l131,plain,
( ~ p0(b,a)
| p1(a,a,a) ),
inference(instantiation,[status(thm)],[111]) ).
cnf(l133,plain,
p0(b,a),
inference(instantiation,[status(thm)],[13]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l7,l12,l13,l5,l14,l15,l16,l17,l9,l18,l19,l20,l21,l22,l23,l24,l25,l8,l26,l6,l27,l31,l47,l48,l44,l53,l52,l54,l65,l50,l66,l67,l57,l55,l71,l75,l37,l64,l40,l60,l28,l29,l11,l49,l46,l36,l30,l58,l62,l116,l123,l76,l56,l89,l35,l125,l121,l68,l122,l98,l32,l117,l90,l126,l87,l127,l120,l108,l69,l88,l128,l124,l101,l129,l130,l131,l133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : SYN129-1 : TPTP v9.0.0. Released v1.1.0.
% 0.04/0.07 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.28 % Computer : n026.cluster.edu
% 0.06/0.28 % Model : x86_64 x86_64
% 0.06/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.28 % Memory : 8042.1875MB
% 0.06/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.28 % CPULimit : 300
% 0.06/0.28 % WCLimit : 300
% 0.06/0.28 % DateTime : Tue Jul 22 15:38:04 EDT 2025
% 0.06/0.28 % CPUTime :
% 0.06/0.29 % launching worker at depth: 1
% 0.06/0.29 % launching worker at depth: 4
% 0.06/0.29 % launching worker at depth: 2
% 0.06/0.29 % launching worker at depth: 3
% 0.06/0.29 % launching worker at depth: 5
% 0.06/0.29 % launching worker at depth: 6
% 0.06/0.29 % launching worker at depth: 7
% 0.06/0.29 % launching worker at depth: 8
% 0.06/0.29 % launching worker at depth: 9
% 0.06/0.29 % launching worker at depth: 10
% 0.06/0.29 % launching worker at depth: 11
% 0.12/0.32 % launching worker at depth: 12
% 0.12/0.33 % SZS status Theorem for theBenchmark
% 0.12/0.33 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------