%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN215-1 : 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 : n031.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 09:27:09 PM UTC 2025
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_this)
% Comments :
%------------------------------------------------------------------------------
cnf(361,plain,
~ s5(d),
inference(cnf,[status(esa)],[prove_this]) ).
cnf(l0,plain,
~ s5(d),
inference(instantiation,[status(thm)],[361]) ).
cnf(359,plain,
( ~ l4(X0)
| ~ r4(X1)
| s5(X0) ),
inference(cnf,[status(esa)],[rule_329]) ).
cnf(l1,plain,
( ~ l4(d)
| ~ r4(c)
| s5(d) ),
inference(instantiation,[status(thm)],[359]) ).
cnf(309,plain,
( ~ m0(X0,X1,X1)
| ~ l4(X0)
| l4(X1) ),
inference(cnf,[status(esa)],[rule_278]) ).
cnf(l2,plain,
( ~ m0(e,d,d)
| ~ l4(e)
| l4(d) ),
inference(instantiation,[status(thm)],[309]) ).
cnf(18,plain,
m0(X0,d,X1),
inference(cnf,[status(esa)],[axiom_19]) ).
cnf(l6,plain,
m0(e,d,d),
inference(instantiation,[status(thm)],[18]) ).
cnf(328,plain,
( ~ p0(X0,X1)
| ~ n3(X1)
| ~ q3(X2,X3)
| r4(X1) ),
inference(cnf,[status(esa)],[rule_298]) ).
cnf(l4,plain,
( ~ p0(b,c)
| ~ n3(c)
| ~ q3(a,a)
| r4(c) ),
inference(instantiation,[status(thm)],[328]) ).
cnf(21,plain,
p0(b,c),
inference(cnf,[status(esa)],[axiom_22]) ).
cnf(l9,plain,
p0(b,c),
inference(instantiation,[status(thm)],[21]) ).
cnf(308,plain,
( ~ p3(X0,X1,X2)
| l4(X2) ),
inference(cnf,[status(esa)],[rule_277]) ).
cnf(l3,plain,
( ~ p3(e,e,e)
| l4(e) ),
inference(instantiation,[status(thm)],[308]) ).
cnf(272,plain,
( ~ p2(X0,X1,X2)
| n3(X2) ),
inference(cnf,[status(esa)],[rule_240]) ).
cnf(l10,plain,
( ~ p2(c,e,c)
| n3(c) ),
inference(instantiation,[status(thm)],[272]) ).
cnf(290,plain,
( ~ s1(X0)
| ~ l2(X1,X1)
| ~ r2(X2)
| q3(X2,X2) ),
inference(cnf,[status(esa)],[rule_258]) ).
cnf(l11,plain,
( ~ s1(b)
| ~ l2(e,e)
| ~ r2(a)
| q3(a,a) ),
inference(instantiation,[status(thm)],[290]) ).
cnf(280,plain,
( ~ p2(X0,X1,X1)
| ~ n3(X1)
| p3(X1,X1,X1) ),
inference(cnf,[status(esa)],[rule_248]) ).
cnf(l12,plain,
( ~ p2(e,e,e)
| ~ n3(e)
| p3(e,e,e) ),
inference(instantiation,[status(thm)],[280]) ).
cnf(160,plain,
( ~ p0(X0,X0)
| s1(X0) ),
inference(cnf,[status(esa)],[rule_125]) ).
cnf(l13,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(l14,plain,
( ~ p0(b,b)
| ~ m0(e,d,e)
| ~ s1(d)
| l2(e,e) ),
inference(instantiation,[status(thm)],[167]) ).
cnf(13,plain,
p0(b,X0),
inference(cnf,[status(esa)],[axiom_14]) ).
cnf(l15,plain,
p0(b,b),
inference(instantiation,[status(thm)],[13]) ).
cnf(l16,plain,
( ~ p2(e,e,e)
| n3(e) ),
inference(instantiation,[status(thm)],[272]) ).
cnf(190,plain,
( ~ n1(e,X0,a)
| ~ q1(a,X1,X0)
| p2(X0,e,X1) ),
inference(cnf,[status(esa)],[rule_156]) ).
cnf(l17,plain,
( ~ n1(e,e,a)
| ~ q1(a,e,e)
| p2(e,e,e) ),
inference(instantiation,[status(thm)],[190]) ).
cnf(l18,plain,
p0(b,b),
inference(instantiation,[status(thm)],[13]) ).
cnf(208,plain,
( ~ k1(e)
| ~ n2(X0)
| p2(X0,X0,X0) ),
inference(cnf,[status(esa)],[rule_174]) ).
cnf(l19,plain,
( ~ k1(e)
| ~ n2(e)
| p2(e,e,e) ),
inference(instantiation,[status(thm)],[208]) ).
cnf(204,plain,
( ~ n1(X0,e,e)
| p2(X0,e,X0) ),
inference(cnf,[status(esa)],[rule_170]) ).
cnf(l20,plain,
( ~ n1(c,e,e)
| p2(c,e,c) ),
inference(instantiation,[status(thm)],[204]) ).
cnf(90,plain,
( ~ l0(X0)
| ~ l1(X0,X1)
| ~ n1(X1,X2,X1)
| n1(X1,X2,X2) ),
inference(cnf,[status(esa)],[rule_054]) ).
cnf(l35,plain,
( ~ l0(c)
| ~ l1(c,c)
| ~ n1(c,e,c)
| n1(c,e,e) ),
inference(instantiation,[status(thm)],[90]) ).
cnf(134,plain,
( ~ l0(X0)
| ~ k0(X1)
| ~ q1(X2,X2,X1)
| q1(X0,X2,X2) ),
inference(cnf,[status(esa)],[rule_099]) ).
cnf(l21,plain,
( ~ l0(a)
| ~ k0(e)
| ~ q1(e,e,e)
| q1(a,e,e) ),
inference(instantiation,[status(thm)],[134]) ).
cnf(23,plain,
l0(c),
inference(cnf,[status(esa)],[axiom_24]) ).
cnf(l41,plain,
l0(c),
inference(instantiation,[status(thm)],[23]) ).
cnf(161,plain,
( ~ q0(X0,X1)
| ~ s1(X2)
| s1(X0) ),
inference(cnf,[status(esa)],[rule_126]) ).
cnf(l38,plain,
( ~ q0(d,d)
| ~ s1(X0_60)
| s1(d) ),
inference(instantiation,[status(thm)],[161]) ).
cnf(24,plain,
q0(d,d),
inference(cnf,[status(esa)],[axiom_25]) ).
cnf(l43,plain,
q0(d,d),
inference(instantiation,[status(thm)],[24]) ).
cnf(l40,plain,
( ~ q0(X0_60,d)
| ~ s1(b)
| s1(X0_60) ),
inference(instantiation,[status(thm)],[161]) ).
cnf(145,plain,
( ~ m0(X0,X1,X2)
| q1(X2,X2,X2) ),
inference(cnf,[status(esa)],[rule_110]) ).
cnf(l29,plain,
( ~ m0(b,b,e)
| q1(e,e,e) ),
inference(instantiation,[status(thm)],[145]) ).
cnf(7,plain,
m0(e,d,e),
inference(cnf,[status(esa)],[axiom_8]) ).
cnf(l39,plain,
m0(e,d,e),
inference(instantiation,[status(thm)],[7]) ).
cnf(171,plain,
( ~ p1(X0,X1,X2)
| n2(X2) ),
inference(cnf,[status(esa)],[rule_137]) ).
cnf(l22,plain,
( ~ p1(e,e,e)
| n2(e) ),
inference(instantiation,[status(thm)],[171]) ).
cnf(38,plain,
( ~ n0(X0,X1)
| k1(X1) ),
inference(cnf,[status(esa)],[rule_001]) ).
cnf(l26,plain,
( ~ n0(d,e)
| k1(e) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(222,plain,
( ~ l0(X0)
| ~ r1(X0)
| r2(X0) ),
inference(cnf,[status(esa)],[rule_188]) ).
cnf(l46,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(l63,plain,
( ~ s0(d)
| ~ q0(a,d)
| ~ q1(d,d,d)
| r1(a) ),
inference(instantiation,[status(thm)],[159]) ).
cnf(41,plain,
( ~ l0(X0)
| ~ k1(X1)
| ~ l1(X0,X0)
| l1(X1,X1) ),
inference(cnf,[status(esa)],[rule_004]) ).
cnf(l47,plain,
( ~ l0(a)
| ~ k1(c)
| ~ l1(a,a)
| l1(c,c) ),
inference(instantiation,[status(thm)],[41]) ).
cnf(19,plain,
l0(a),
inference(cnf,[status(esa)],[axiom_20]) ).
cnf(l51,plain,
l0(a),
inference(instantiation,[status(thm)],[19]) ).
cnf(16,plain,
q0(X0,d),
inference(cnf,[status(esa)],[axiom_17]) ).
cnf(l60,plain,
q0(X0_60,d),
inference(instantiation,[status(thm)],[16]) ).
cnf(125,plain,
( ~ r0(e)
| ~ k0(e)
| p1(e,e,e) ),
inference(cnf,[status(esa)],[rule_090]) ).
cnf(l28,plain,
( ~ r0(e)
| ~ k0(e)
| p1(e,e,e) ),
inference(instantiation,[status(thm)],[125]) ).
cnf(133,plain,
( ~ s0(X0)
| ~ m0(X1,X1,X2)
| q1(X0,X0,X0) ),
inference(cnf,[status(esa)],[rule_098]) ).
cnf(l68,plain,
( ~ s0(d)
| ~ m0(a,a,a)
| q1(d,d,d) ),
inference(instantiation,[status(thm)],[133]) ).
cnf(27,plain,
k0(e),
inference(cnf,[status(esa)],[axiom_28]) ).
cnf(l37,plain,
k0(e),
inference(instantiation,[status(thm)],[27]) ).
cnf(95,plain,
( ~ m0(X0,X1,X2)
| ~ m0(X1,X3,X3)
| n1(X2,X2,X0) ),
inference(cnf,[status(esa)],[rule_059]) ).
cnf(l23,plain,
( ~ m0(a,d,e)
| ~ m0(d,d,d)
| n1(e,e,a) ),
inference(instantiation,[status(thm)],[95]) ).
cnf(2,plain,
n0(d,e),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l36,plain,
n0(d,e),
inference(instantiation,[status(thm)],[2]) ).
cnf(l25,plain,
m0(a,d,e),
inference(instantiation,[status(thm)],[18]) ).
cnf(30,plain,
m0(b,b,e),
inference(cnf,[status(esa)],[axiom_31]) ).
cnf(l52,plain,
m0(b,b,e),
inference(instantiation,[status(thm)],[30]) ).
cnf(l27,plain,
l0(a),
inference(instantiation,[status(thm)],[19]) ).
cnf(11,plain,
m0(a,X0,a),
inference(cnf,[status(esa)],[axiom_12]) ).
cnf(l69,plain,
m0(a,a,a),
inference(instantiation,[status(thm)],[11]) ).
cnf(l61,plain,
k0(e),
inference(instantiation,[status(thm)],[27]) ).
cnf(0,plain,
s0(d),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l71,plain,
s0(d),
inference(instantiation,[status(thm)],[0]) ).
cnf(l74,plain,
( ~ p0(b,b)
| s1(b) ),
inference(instantiation,[status(thm)],[160]) ).
cnf(l62,plain,
l0(a),
inference(instantiation,[status(thm)],[19]) ).
cnf(l70,plain,
q0(a,d),
inference(instantiation,[status(thm)],[16]) ).
cnf(39,plain,
( ~ n0(X0,X1)
| l1(X1,X1) ),
inference(cnf,[status(esa)],[rule_002]) ).
cnf(l56,plain,
( ~ n0(b,a)
| l1(a,a) ),
inference(instantiation,[status(thm)],[39]) ).
cnf(86,plain,
( ~ s0(b)
| ~ p0(b,X0)
| ~ l0(X1)
| n1(X1,X0,X1) ),
inference(cnf,[status(esa)],[rule_050]) ).
cnf(l42,plain,
( ~ s0(b)
| ~ p0(b,e)
| ~ l0(c)
| n1(c,e,c) ),
inference(instantiation,[status(thm)],[86]) ).
cnf(l45,plain,
p0(b,e),
inference(instantiation,[status(thm)],[13]) ).
cnf(36,plain,
n0(b,a),
inference(cnf,[status(esa)],[axiom_37]) ).
cnf(l57,plain,
n0(b,a),
inference(instantiation,[status(thm)],[36]) ).
cnf(l55,plain,
( ~ n0(d,c)
| k1(c) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(l31,plain,
m0(d,d,d),
inference(instantiation,[status(thm)],[18]) ).
cnf(25,plain,
n0(d,c),
inference(cnf,[status(esa)],[axiom_26]) ).
cnf(l59,plain,
n0(d,c),
inference(instantiation,[status(thm)],[25]) ).
cnf(4,plain,
s0(b),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l44,plain,
s0(b),
inference(instantiation,[status(thm)],[4]) ).
cnf(l67,plain,
s0(d),
inference(instantiation,[status(thm)],[0]) ).
cnf(l54,plain,
l0(c),
inference(instantiation,[status(thm)],[23]) ).
cnf(12,plain,
r0(e),
inference(cnf,[status(esa)],[axiom_13]) ).
cnf(l34,plain,
r0(e),
inference(instantiation,[status(thm)],[12]) ).
cnf(l75,plain,
p0(b,b),
inference(instantiation,[status(thm)],[13]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l6,l4,l9,l3,l10,l11,l12,l13,l14,l15,l16,l17,l18,l19,l20,l35,l21,l41,l38,l43,l40,l29,l39,l22,l26,l46,l63,l47,l51,l60,l28,l68,l37,l23,l36,l25,l52,l27,l69,l61,l71,l74,l62,l70,l56,l42,l45,l57,l55,l31,l59,l44,l67,l54,l34,l75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN215-1 : TPTP v9.0.0. Released v1.1.0.
% 0.03/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n031.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 15:43:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 3
% 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
% 0.13/0.36 % launching worker at depth: 12
% 0.13/0.36 % SZS status Theorem for theBenchmark
% 0.13/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------