%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN210-1 : 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 : n020.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 09:27:08 PM UTC 2025
% Result : Unsatisfiable 0.19s 0.36s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_this)
% Comments :
%------------------------------------------------------------------------------
cnf(361,plain,
~ s4(c),
inference(cnf,[status(esa)],[prove_this]) ).
cnf(l0,plain,
~ s4(c),
inference(instantiation,[status(thm)],[361]) ).
cnf(329,plain,
( ~ l1(X0,X1)
| ~ p3(X2,X1,X3)
| s4(X0) ),
inference(cnf,[status(esa)],[rule_299]) ).
cnf(l1,plain,
( ~ l1(c,c)
| ~ p3(e,c,c)
| s4(c) ),
inference(instantiation,[status(thm)],[329]) ).
cnf(41,plain,
( ~ l0(X0)
| ~ k1(X1)
| ~ l1(X0,X0)
| l1(X1,X1) ),
inference(cnf,[status(esa)],[rule_004]) ).
cnf(l2,plain,
( ~ l0(a)
| ~ k1(c)
| ~ l1(a,a)
| l1(c,c) ),
inference(instantiation,[status(thm)],[41]) ).
cnf(273,plain,
( ~ k2(X0,X1)
| ~ q2(X2,d,X3)
| p3(X3,X0,X1) ),
inference(cnf,[status(esa)],[rule_241]) ).
cnf(l4,plain,
( ~ k2(c,c)
| ~ q2(e,d,e)
| p3(e,c,c) ),
inference(instantiation,[status(thm)],[273]) ).
cnf(38,plain,
( ~ n0(X0,X1)
| k1(X1) ),
inference(cnf,[status(esa)],[rule_001]) ).
cnf(l5,plain,
( ~ n0(d,c)
| k1(c) ),
inference(instantiation,[status(thm)],[38]) ).
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(l8,plain,
( ~ p1(e,e,e)
| ~ n1(d,e,e)
| ~ q2(d,e,e)
| q2(e,d,e) ),
inference(instantiation,[status(thm)],[216]) ).
cnf(164,plain,
( ~ q1(X0,X1,X1)
| k2(X1,X1) ),
inference(cnf,[status(esa)],[rule_129]) ).
cnf(l7,plain,
( ~ q1(c,c,c)
| k2(c,c) ),
inference(instantiation,[status(thm)],[164]) ).
cnf(25,plain,
n0(d,c),
inference(cnf,[status(esa)],[axiom_26]) ).
cnf(l16,plain,
n0(d,c),
inference(instantiation,[status(thm)],[25]) ).
cnf(131,plain,
( ~ p0(X0,X1)
| ~ m1(X2,X3,X0)
| ~ n1(X0,X3,X3)
| ~ q1(X1,X0,X3)
| q1(X2,X2,X2) ),
inference(cnf,[status(esa)],[rule_096]) ).
cnf(l25,plain,
( ~ p0(c,b)
| ~ m1(c,c,c)
| ~ n1(c,c,c)
| ~ q1(b,c,c)
| q1(c,c,c) ),
inference(instantiation,[status(thm)],[131]) ).
cnf(39,plain,
( ~ n0(X0,X1)
| l1(X1,X1) ),
inference(cnf,[status(esa)],[rule_002]) ).
cnf(l3,plain,
( ~ n0(b,a)
| l1(a,a) ),
inference(instantiation,[status(thm)],[39]) ).
cnf(114,plain,
( ~ l0(c)
| ~ k0(e)
| ~ k1(X0)
| p1(X0,X0,X0) ),
inference(cnf,[status(esa)],[rule_079]) ).
cnf(l9,plain,
( ~ l0(c)
| ~ k0(e)
| ~ k1(e)
| p1(e,e,e) ),
inference(instantiation,[status(thm)],[114]) ).
cnf(98,plain,
( ~ m0(X0,X0,X1)
| ~ n1(X0,X2,X0)
| n1(X2,X2,X2) ),
inference(cnf,[status(esa)],[rule_062]) ).
cnf(l31,plain,
( ~ m0(b,b,e)
| ~ n1(b,c,b)
| n1(c,c,c) ),
inference(instantiation,[status(thm)],[98]) ).
cnf(17,plain,
p0(c,b),
inference(cnf,[status(esa)],[axiom_18]) ).
cnf(l32,plain,
p0(c,b),
inference(instantiation,[status(thm)],[17]) ).
cnf(l33,plain,
( ~ n0(e,e)
| k1(e) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(43,plain,
( ~ m0(X0,X0,X1)
| m1(X1,X1,X1) ),
inference(cnf,[status(esa)],[rule_006]) ).
cnf(l34,plain,
( ~ m0(d,d,c)
| m1(c,c,c) ),
inference(instantiation,[status(thm)],[43]) ).
cnf(74,plain,
( ~ r0(X0)
| ~ p0(X1,X0)
| ~ l0(X2)
| n1(X0,X2,X0) ),
inference(cnf,[status(esa)],[rule_037]) ).
cnf(l35,plain,
( ~ r0(b)
| ~ p0(b,b)
| ~ l0(c)
| n1(b,c,b) ),
inference(instantiation,[status(thm)],[74]) ).
cnf(8,plain,
r0(b),
inference(cnf,[status(esa)],[axiom_9]) ).
cnf(l40,plain,
r0(b),
inference(instantiation,[status(thm)],[8]) ).
cnf(19,plain,
l0(a),
inference(cnf,[status(esa)],[axiom_20]) ).
cnf(l6,plain,
l0(a),
inference(instantiation,[status(thm)],[19]) ).
cnf(77,plain,
( ~ m0(X0,X1,e)
| ~ k1(X0)
| n1(X0,e,e) ),
inference(cnf,[status(esa)],[rule_040]) ).
cnf(l11,plain,
( ~ m0(d,d,e)
| ~ k1(d)
| n1(d,e,e) ),
inference(instantiation,[status(thm)],[77]) ).
cnf(29,plain,
n0(e,e),
inference(cnf,[status(esa)],[axiom_30]) ).
cnf(l36,plain,
n0(e,e),
inference(instantiation,[status(thm)],[29]) ).
cnf(18,plain,
m0(X0,d,X1),
inference(cnf,[status(esa)],[axiom_19]) ).
cnf(l12,plain,
m0(d,d,e),
inference(instantiation,[status(thm)],[18]) ).
cnf(23,plain,
l0(c),
inference(cnf,[status(esa)],[axiom_24]) ).
cnf(l10,plain,
l0(c),
inference(instantiation,[status(thm)],[23]) ).
cnf(l44,plain,
m0(d,d,c),
inference(instantiation,[status(thm)],[18]) ).
cnf(l38,plain,
l0(c),
inference(instantiation,[status(thm)],[23]) ).
cnf(13,plain,
p0(b,X0),
inference(cnf,[status(esa)],[axiom_14]) ).
cnf(l41,plain,
p0(b,b),
inference(instantiation,[status(thm)],[13]) ).
cnf(30,plain,
m0(b,b,e),
inference(cnf,[status(esa)],[axiom_31]) ).
cnf(l37,plain,
m0(b,b,e),
inference(instantiation,[status(thm)],[30]) ).
cnf(211,plain,
( ~ k0(X0)
| ~ p1(X1,X1,X1)
| q2(X1,X0,X0) ),
inference(cnf,[status(esa)],[rule_177]) ).
cnf(l19,plain,
( ~ k0(e)
| ~ p1(d,d,d)
| q2(d,e,e) ),
inference(instantiation,[status(thm)],[211]) ).
cnf(27,plain,
k0(e),
inference(cnf,[status(esa)],[axiom_28]) ).
cnf(l30,plain,
k0(e),
inference(instantiation,[status(thm)],[27]) ).
cnf(l20,plain,
k0(e),
inference(instantiation,[status(thm)],[27]) ).
cnf(130,plain,
( ~ p0(X0,X1)
| q1(X1,X0,X0) ),
inference(cnf,[status(esa)],[rule_095]) ).
cnf(l39,plain,
( ~ p0(c,b)
| q1(b,c,c) ),
inference(instantiation,[status(thm)],[130]) ).
cnf(l49,plain,
p0(c,b),
inference(instantiation,[status(thm)],[17]) ).
cnf(36,plain,
n0(b,a),
inference(cnf,[status(esa)],[axiom_37]) ).
cnf(l13,plain,
n0(b,a),
inference(instantiation,[status(thm)],[36]) ).
cnf(l21,plain,
( ~ n0(c,d)
| k1(d) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(120,plain,
( ~ p0(X0,X1)
| p1(X1,X1,X1) ),
inference(cnf,[status(esa)],[rule_085]) ).
cnf(l28,plain,
( ~ p0(b,d)
| p1(d,d,d) ),
inference(instantiation,[status(thm)],[120]) ).
cnf(33,plain,
n0(c,d),
inference(cnf,[status(esa)],[axiom_34]) ).
cnf(l48,plain,
n0(c,d),
inference(instantiation,[status(thm)],[33]) ).
cnf(l50,plain,
p0(b,d),
inference(instantiation,[status(thm)],[13]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l5,l8,l7,l16,l25,l3,l9,l31,l32,l33,l34,l35,l40,l6,l11,l36,l12,l10,l44,l38,l41,l37,l19,l30,l20,l39,l49,l13,l21,l28,l48,l50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN210-1 : TPTP v9.0.0. Released v1.1.0.
% 0.04/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n020.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 15:42:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.19/0.35 % launching worker at depth: 3
% 0.19/0.35 % launching worker at depth: 4
% 0.19/0.35 % launching worker at depth: 1
% 0.19/0.35 % launching worker at depth: 5
% 0.19/0.35 % launching worker at depth: 6
% 0.19/0.35 % launching worker at depth: 2
% 0.19/0.35 % launching worker at depth: 7
% 0.19/0.35 % launching worker at depth: 8
% 0.19/0.35 % launching worker at depth: 9
% 0.19/0.36 % launching worker at depth: 10
% 0.19/0.36 % launching worker at depth: 11
% 0.19/0.36 % SZS status Theorem for theBenchmark
% 0.19/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------