%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN142-1 : 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 : n018.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 09:26:58 PM UTC 2025
% Result : Unsatisfiable 0.11s 0.36s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_this)
% Comments :
%------------------------------------------------------------------------------
cnf(361,plain,
~ m5(d,X0),
inference(cnf,[status(esa)],[prove_this]) ).
cnf(l0,plain,
~ m5(d,d),
inference(instantiation,[status(thm)],[361]) ).
cnf(335,plain,
( ~ m4(e,e)
| ~ s4(X0)
| m5(X0,X0) ),
inference(cnf,[status(esa)],[rule_305]) ).
cnf(l1,plain,
( ~ m4(e,e)
| ~ s4(d)
| m5(d,d) ),
inference(instantiation,[status(thm)],[335]) ).
cnf(310,plain,
( ~ l2(X0,X1)
| ~ s3(a,X2)
| m4(X2,X1) ),
inference(cnf,[status(esa)],[rule_279]) ).
cnf(l2,plain,
( ~ l2(b,e)
| ~ s3(a,e)
| m4(e,e) ),
inference(instantiation,[status(thm)],[310]) ).
cnf(329,plain,
( ~ l1(X0,X1)
| ~ p3(X2,X1,X3)
| s4(X0) ),
inference(cnf,[status(esa)],[rule_299]) ).
cnf(l3,plain,
( ~ l1(d,d)
| ~ p3(d,d,d)
| s4(d) ),
inference(instantiation,[status(thm)],[329]) ).
cnf(279,plain,
( ~ s1(X0)
| ~ n2(X1)
| ~ q2(X0,X2,X1)
| p3(X1,X1,X1) ),
inference(cnf,[status(esa)],[rule_247]) ).
cnf(l5,plain,
( ~ s1(e)
| ~ n2(d)
| ~ q2(e,e,d)
| p3(d,d,d) ),
inference(instantiation,[status(thm)],[279]) ).
cnf(161,plain,
( ~ q0(X0,X1)
| ~ s1(X2)
| s1(X0) ),
inference(cnf,[status(esa)],[rule_126]) ).
cnf(l9,plain,
( ~ q0(e,d)
| ~ s1(b)
| s1(e) ),
inference(instantiation,[status(thm)],[161]) ).
cnf(1,plain,
q0(e,d),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l34,plain,
q0(e,d),
inference(instantiation,[status(thm)],[1]) ).
cnf(166,plain,
( ~ n0(e,X0)
| ~ s1(X1)
| ~ l2(X0,X0)
| l2(X1,X0) ),
inference(cnf,[status(esa)],[rule_131]) ).
cnf(l4,plain,
( ~ n0(e,e)
| ~ s1(b)
| ~ l2(e,e)
| l2(b,e) ),
inference(instantiation,[status(thm)],[166]) ).
cnf(39,plain,
( ~ n0(X0,X1)
| l1(X1,X1) ),
inference(cnf,[status(esa)],[rule_002]) ).
cnf(l6,plain,
( ~ n0(c,d)
| l1(d,d) ),
inference(instantiation,[status(thm)],[39]) ).
cnf(33,plain,
n0(c,d),
inference(cnf,[status(esa)],[axiom_34]) ).
cnf(l36,plain,
n0(c,d),
inference(instantiation,[status(thm)],[33]) ).
cnf(171,plain,
( ~ p1(X0,X1,X2)
| n2(X2) ),
inference(cnf,[status(esa)],[rule_137]) ).
cnf(l14,plain,
( ~ p1(d,d,d)
| n2(d) ),
inference(instantiation,[status(thm)],[171]) ).
cnf(167,plain,
( ~ p0(X0,X0)
| ~ m0(X1,X2,X3)
| ~ s1(X2)
| l2(X3,X3) ),
inference(cnf,[status(esa)],[rule_133]) ).
cnf(l7,plain,
( ~ p0(b,b)
| ~ m0(b,b,e)
| ~ s1(b)
| l2(e,e) ),
inference(instantiation,[status(thm)],[167]) ).
cnf(305,plain,
( ~ m0(X0,X1,X2)
| ~ q2(X0,X3,X0)
| ~ s2(X3)
| s3(X3,X2) ),
inference(cnf,[status(esa)],[rule_273]) ).
cnf(l10,plain,
( ~ m0(a,e,e)
| ~ q2(a,a,a)
| ~ s2(a)
| s3(a,e) ),
inference(instantiation,[status(thm)],[305]) ).
cnf(29,plain,
n0(e,e),
inference(cnf,[status(esa)],[axiom_30]) ).
cnf(l11,plain,
n0(e,e),
inference(instantiation,[status(thm)],[29]) ).
cnf(160,plain,
( ~ p0(X0,X0)
| s1(X0) ),
inference(cnf,[status(esa)],[rule_125]) ).
cnf(l12,plain,
( ~ p0(b,b)
| s1(b) ),
inference(instantiation,[status(thm)],[160]) ).
cnf(l38,plain,
( ~ p0(b,b)
| s1(b) ),
inference(instantiation,[status(thm)],[160]) ).
cnf(l39,plain,
( ~ p0(b,b)
| s1(b) ),
inference(instantiation,[status(thm)],[160]) ).
cnf(220,plain,
( ~ l1(X0,X1)
| q2(X1,X1,X0) ),
inference(cnf,[status(esa)],[rule_186]) ).
cnf(l44,plain,
( ~ l1(d,e)
| q2(e,e,d) ),
inference(instantiation,[status(thm)],[220]) ).
cnf(223,plain,
( ~ s1(b)
| ~ q2(b,X0,b)
| s2(X0) ),
inference(cnf,[status(esa)],[rule_189]) ).
cnf(l16,plain,
( ~ s1(b)
| ~ q2(b,a,b)
| s2(a) ),
inference(instantiation,[status(thm)],[223]) ).
cnf(13,plain,
p0(b,X0),
inference(cnf,[status(esa)],[axiom_14]) ).
cnf(l59,plain,
p0(b,b),
inference(instantiation,[status(thm)],[13]) ).
cnf(40,plain,
( ~ r0(X0)
| ~ p0(X1,X2)
| ~ m0(X3,X2,X1)
| l1(X2,X3) ),
inference(cnf,[status(esa)],[rule_003]) ).
cnf(l49,plain,
( ~ r0(e)
| ~ p0(b,d)
| ~ m0(e,d,b)
| l1(d,e) ),
inference(instantiation,[status(thm)],[40]) ).
cnf(l58,plain,
p0(b,b),
inference(instantiation,[status(thm)],[13]) ).
cnf(18,plain,
m0(X0,d,X1),
inference(cnf,[status(esa)],[axiom_19]) ).
cnf(l50,plain,
m0(e,d,b),
inference(instantiation,[status(thm)],[18]) ).
cnf(l22,plain,
( ~ l1(a,a)
| q2(a,a,a) ),
inference(instantiation,[status(thm)],[220]) ).
cnf(l8,plain,
p0(b,b),
inference(instantiation,[status(thm)],[13]) ).
cnf(l45,plain,
p0(b,b),
inference(instantiation,[status(thm)],[13]) ).
cnf(12,plain,
r0(e),
inference(cnf,[status(esa)],[axiom_13]) ).
cnf(l57,plain,
r0(e),
inference(instantiation,[status(thm)],[12]) ).
cnf(l31,plain,
( ~ p0(b,b)
| s1(b) ),
inference(instantiation,[status(thm)],[160]) ).
cnf(30,plain,
m0(b,b,e),
inference(cnf,[status(esa)],[axiom_31]) ).
cnf(l35,plain,
m0(b,b,e),
inference(instantiation,[status(thm)],[30]) ).
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(l19,plain,
( ~ p1(b,b,b)
| ~ n1(a,b,b)
| ~ q2(a,b,b)
| q2(b,a,b) ),
inference(instantiation,[status(thm)],[216]) ).
cnf(126,plain,
( ~ q0(X0,X1)
| ~ k1(X2)
| ~ n1(X0,X3,X4)
| p1(X3,X3,X3) ),
inference(cnf,[status(esa)],[rule_091]) ).
cnf(l15,plain,
( ~ q0(d,b)
| ~ k1(e)
| ~ n1(d,d,d)
| p1(d,d,d) ),
inference(instantiation,[status(thm)],[126]) ).
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(l32,plain,
p0(b,b),
inference(instantiation,[status(thm)],[13]) ).
cnf(28,plain,
q0(d,b),
inference(cnf,[status(esa)],[axiom_29]) ).
cnf(l40,plain,
q0(d,b),
inference(instantiation,[status(thm)],[28]) ).
cnf(90,plain,
( ~ l0(X0)
| ~ l1(X0,X1)
| ~ n1(X1,X2,X1)
| n1(X1,X2,X2) ),
inference(cnf,[status(esa)],[rule_054]) ).
cnf(l27,plain,
( ~ l0(a)
| ~ l1(a,a)
| ~ n1(a,b,a)
| n1(a,b,b) ),
inference(instantiation,[status(thm)],[90]) ).
cnf(19,plain,
l0(a),
inference(cnf,[status(esa)],[axiom_20]) ).
cnf(l53,plain,
l0(a),
inference(instantiation,[status(thm)],[19]) ).
cnf(119,plain,
( ~ m0(b,X0,b)
| ~ l1(X1,b)
| p1(X1,X1,X1) ),
inference(cnf,[status(esa)],[rule_084]) ).
cnf(l29,plain,
( ~ m0(b,d,b)
| ~ l1(b,b)
| p1(b,b,b) ),
inference(instantiation,[status(thm)],[119]) ).
cnf(211,plain,
( ~ k0(X0)
| ~ p1(X1,X1,X1)
| q2(X1,X0,X0) ),
inference(cnf,[status(esa)],[rule_177]) ).
cnf(l25,plain,
( ~ k0(b)
| ~ p1(a,a,a)
| q2(a,b,b) ),
inference(instantiation,[status(thm)],[211]) ).
cnf(38,plain,
( ~ n0(X0,X1)
| k1(X1) ),
inference(cnf,[status(esa)],[rule_001]) ).
cnf(l43,plain,
( ~ n0(d,e)
| k1(e) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(2,plain,
n0(d,e),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l90,plain,
n0(d,e),
inference(instantiation,[status(thm)],[2]) ).
cnf(86,plain,
( ~ s0(b)
| ~ p0(b,X0)
| ~ l0(X1)
| n1(X1,X0,X1) ),
inference(cnf,[status(esa)],[rule_050]) ).
cnf(l54,plain,
( ~ s0(b)
| ~ p0(b,b)
| ~ l0(a)
| n1(a,b,a) ),
inference(instantiation,[status(thm)],[86]) ).
cnf(l71,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(l28,plain,
( ~ l0(c)
| ~ k1(a)
| ~ l1(c,c)
| l1(a,a) ),
inference(instantiation,[status(thm)],[41]) ).
cnf(l61,plain,
p0(b,d),
inference(instantiation,[status(thm)],[13]) ).
cnf(l33,plain,
m0(b,d,b),
inference(instantiation,[status(thm)],[18]) ).
cnf(23,plain,
l0(c),
inference(cnf,[status(esa)],[axiom_24]) ).
cnf(l67,plain,
l0(c),
inference(instantiation,[status(thm)],[23]) ).
cnf(l74,plain,
( ~ n0(b,a)
| k1(a) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(l56,plain,
p0(b,b),
inference(instantiation,[status(thm)],[13]) ).
cnf(l30,plain,
( ~ l0(c)
| ~ k1(a)
| ~ l1(c,c)
| l1(a,a) ),
inference(instantiation,[status(thm)],[41]) ).
cnf(l48,plain,
l0(c),
inference(instantiation,[status(thm)],[23]) ).
cnf(36,plain,
n0(b,a),
inference(cnf,[status(esa)],[axiom_37]) ).
cnf(l78,plain,
n0(b,a),
inference(instantiation,[status(thm)],[36]) ).
cnf(4,plain,
s0(b),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l55,plain,
s0(b),
inference(instantiation,[status(thm)],[4]) ).
cnf(l51,plain,
( ~ n0(b,a)
| k1(a) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(l52,plain,
n0(b,a),
inference(instantiation,[status(thm)],[36]) ).
cnf(31,plain,
k0(b),
inference(cnf,[status(esa)],[axiom_32]) ).
cnf(l64,plain,
k0(b),
inference(instantiation,[status(thm)],[31]) ).
cnf(l72,plain,
( ~ n0(d,c)
| l1(c,c) ),
inference(instantiation,[status(thm)],[39]) ).
cnf(l113,plain,
( ~ n0(d,c)
| l1(c,c) ),
inference(instantiation,[status(thm)],[39]) ).
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(l76,plain,
( ~ s0(d)
| ~ p0(b,a)
| ~ m0(a,a,a)
| ~ k1(d)
| n1(d,d,d) ),
inference(instantiation,[status(thm)],[88]) ).
cnf(l46,plain,
( ~ l0(a)
| ~ k1(b)
| ~ l1(a,a)
| l1(b,b) ),
inference(instantiation,[status(thm)],[41]) ).
cnf(l116,plain,
l0(a),
inference(instantiation,[status(thm)],[19]) ).
cnf(11,plain,
m0(a,X0,a),
inference(cnf,[status(esa)],[axiom_12]) ).
cnf(l84,plain,
m0(a,a,a),
inference(instantiation,[status(thm)],[11]) ).
cnf(25,plain,
n0(d,c),
inference(cnf,[status(esa)],[axiom_26]) ).
cnf(l114,plain,
n0(d,c),
inference(instantiation,[status(thm)],[25]) ).
cnf(l82,plain,
p0(b,a),
inference(instantiation,[status(thm)],[13]) ).
cnf(0,plain,
s0(d),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l83,plain,
s0(d),
inference(instantiation,[status(thm)],[0]) ).
cnf(l85,plain,
( ~ n0(c,d)
| k1(d) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(l112,plain,
( ~ n0(b,a)
| l1(a,a) ),
inference(instantiation,[status(thm)],[39]) ).
cnf(102,plain,
( ~ n0(X0,X1)
| p1(X1,X1,X1) ),
inference(cnf,[status(esa)],[rule_066]) ).
cnf(l62,plain,
( ~ n0(b,a)
| p1(a,a,a) ),
inference(instantiation,[status(thm)],[102]) ).
cnf(l87,plain,
n0(c,d),
inference(instantiation,[status(thm)],[33]) ).
cnf(l111,plain,
( ~ n0(a,b)
| k1(b) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(14,plain,
n0(a,b),
inference(cnf,[status(esa)],[axiom_15]) ).
cnf(l119,plain,
n0(a,b),
inference(instantiation,[status(thm)],[14]) ).
cnf(l68,plain,
n0(b,a),
inference(instantiation,[status(thm)],[36]) ).
cnf(l75,plain,
n0(d,c),
inference(instantiation,[status(thm)],[25]) ).
cnf(l120,plain,
n0(b,a),
inference(instantiation,[status(thm)],[36]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l5,l9,l34,l4,l6,l36,l14,l7,l10,l11,l12,l38,l39,l44,l16,l59,l49,l58,l50,l22,l8,l45,l57,l31,l35,l19,l15,l13,l32,l40,l27,l53,l29,l25,l43,l90,l54,l71,l28,l61,l33,l67,l74,l56,l30,l48,l78,l55,l51,l52,l64,l72,l113,l76,l46,l116,l84,l114,l82,l83,l85,l112,l62,l87,l111,l119,l68,l75,l120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN142-1 : TPTP v9.0.0. Released v1.1.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32 % Computer : n018.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Jul 22 15:38:49 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % launching worker at depth: 3
% 0.11/0.33 % launching worker at depth: 7
% 0.11/0.33 % launching worker at depth: 8
% 0.11/0.33 % launching worker at depth: 5
% 0.11/0.33 % launching worker at depth: 4
% 0.11/0.33 % launching worker at depth: 2
% 0.11/0.33 % launching worker at depth: 6
% 0.11/0.33 % launching worker at depth: 1
% 0.11/0.33 % launching worker at depth: 9
% 0.11/0.33 % launching worker at depth: 10
% 0.11/0.33 % launching worker at depth: 11
% 0.11/0.34 % launching worker at depth: 12
% 0.11/0.34 % launching worker at depth: 13
% 0.11/0.34 % launching worker at depth: 14
% 0.11/0.36 % launching worker at depth: 15
% 0.11/0.36 % SZS status Theorem for theBenchmark
% 0.11/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------