%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN155-1 : 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 : n027.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 09:27:00 PM UTC 2025
% Result : Unsatisfiable 0.19s 0.37s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_this)
% Comments :
%------------------------------------------------------------------------------
cnf(361,plain,
~ n4(X0,a),
inference(cnf,[status(esa)],[prove_this]) ).
cnf(l0,plain,
~ n4(a,a),
inference(instantiation,[status(thm)],[361]) ).
cnf(314,plain,
( ~ m3(X0,X0,X0)
| ~ k4(X1)
| n4(X0,X0) ),
inference(cnf,[status(esa)],[rule_284]) ).
cnf(l1,plain,
( ~ m3(a,a,a)
| ~ k4(c)
| n4(a,a) ),
inference(instantiation,[status(thm)],[314]) ).
cnf(259,plain,
( ~ s0(X0)
| ~ q0(X1,X2)
| ~ s2(X2)
| ~ r2(X3)
| m3(X3,X3,X3) ),
inference(cnf,[status(esa)],[rule_227]) ).
cnf(l2,plain,
( ~ s0(b)
| ~ q0(b,e)
| ~ s2(e)
| ~ r2(a)
| m3(a,a,a) ),
inference(instantiation,[status(thm)],[259]) ).
cnf(4,plain,
s0(b),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l3,plain,
s0(b),
inference(instantiation,[status(thm)],[4]) ).
cnf(306,plain,
( ~ n0(c,d)
| ~ n3(e)
| ~ q3(e,b)
| k4(c) ),
inference(cnf,[status(esa)],[rule_274]) ).
cnf(l4,plain,
( ~ n0(c,d)
| ~ n3(e)
| ~ q3(e,b)
| k4(c) ),
inference(instantiation,[status(thm)],[306]) ).
cnf(33,plain,
n0(c,d),
inference(cnf,[status(esa)],[axiom_34]) ).
cnf(l5,plain,
n0(c,d),
inference(instantiation,[status(thm)],[33]) ).
cnf(20,plain,
q0(b,e),
inference(cnf,[status(esa)],[axiom_21]) ).
cnf(l6,plain,
q0(b,e),
inference(instantiation,[status(thm)],[20]) ).
cnf(223,plain,
( ~ s1(b)
| ~ q2(b,X0,b)
| s2(X0) ),
inference(cnf,[status(esa)],[rule_189]) ).
cnf(l7,plain,
( ~ s1(b)
| ~ q2(b,e,b)
| s2(e) ),
inference(instantiation,[status(thm)],[223]) ).
cnf(222,plain,
( ~ l0(X0)
| ~ r1(X0)
| r2(X0) ),
inference(cnf,[status(esa)],[rule_188]) ).
cnf(l8,plain,
( ~ l0(a)
| ~ r1(a)
| r2(a) ),
inference(instantiation,[status(thm)],[222]) ).
cnf(287,plain,
( ~ n0(X0,X1)
| ~ q2(X0,X1,X2)
| q3(X1,X2) ),
inference(cnf,[status(esa)],[rule_255]) ).
cnf(l15,plain,
( ~ n0(e,e)
| ~ q2(e,e,b)
| q3(e,b) ),
inference(instantiation,[status(thm)],[287]) ).
cnf(160,plain,
( ~ p0(X0,X0)
| s1(X0) ),
inference(cnf,[status(esa)],[rule_125]) ).
cnf(l9,plain,
( ~ p0(b,b)
| s1(b) ),
inference(instantiation,[status(thm)],[160]) ).
cnf(272,plain,
( ~ p2(X0,X1,X2)
| n3(X2) ),
inference(cnf,[status(esa)],[rule_240]) ).
cnf(l12,plain,
( ~ p2(e,e,e)
| n3(e) ),
inference(instantiation,[status(thm)],[272]) ).
cnf(13,plain,
p0(b,X0),
inference(cnf,[status(esa)],[axiom_14]) ).
cnf(l18,plain,
p0(b,b),
inference(instantiation,[status(thm)],[13]) ).
cnf(159,plain,
( ~ s0(d)
| ~ q0(X0,X1)
| ~ q1(d,X1,d)
| r1(X0) ),
inference(cnf,[status(esa)],[rule_124]) ).
cnf(l30,plain,
( ~ s0(d)
| ~ q0(a,b)
| ~ q1(d,b,d)
| r1(a) ),
inference(instantiation,[status(thm)],[159]) ).
cnf(221,plain,
( ~ m0(X0,X1,X2)
| ~ k0(X3)
| ~ r1(X3)
| ~ q2(X3,X3,X3)
| q2(X2,X3,X2) ),
inference(cnf,[status(esa)],[rule_187]) ).
cnf(l10,plain,
( ~ m0(X0_29,d,b)
| ~ k0(e)
| ~ r1(e)
| ~ q2(e,e,e)
| q2(b,e,b) ),
inference(instantiation,[status(thm)],[221]) ).
cnf(179,plain,
( ~ r0(e)
| ~ p1(X0,X1,e)
| p2(e,X0,X1) ),
inference(cnf,[status(esa)],[rule_145]) ).
cnf(l28,plain,
( ~ r0(e)
| ~ p1(e,e,e)
| p2(e,e,e) ),
inference(instantiation,[status(thm)],[179]) ).
cnf(220,plain,
( ~ l1(X0,X1)
| q2(X1,X1,X0) ),
inference(cnf,[status(esa)],[rule_186]) ).
cnf(l20,plain,
( ~ l1(b,e)
| q2(e,e,b) ),
inference(instantiation,[status(thm)],[220]) ).
cnf(l11,plain,
( ~ s0(d)
| ~ q0(e,d)
| ~ q1(d,d,d)
| r1(e) ),
inference(instantiation,[status(thm)],[159]) ).
cnf(18,plain,
m0(X0,d,X1),
inference(cnf,[status(esa)],[axiom_19]) ).
cnf(l29,plain,
m0(X0_29,d,b),
inference(instantiation,[status(thm)],[18]) ).
cnf(40,plain,
( ~ r0(X0)
| ~ p0(X1,X2)
| ~ m0(X3,X2,X1)
| l1(X2,X3) ),
inference(cnf,[status(esa)],[rule_003]) ).
cnf(l23,plain,
( ~ r0(e)
| ~ p0(c,b)
| ~ m0(e,b,c)
| l1(b,e) ),
inference(instantiation,[status(thm)],[40]) ).
cnf(12,plain,
r0(e),
inference(cnf,[status(esa)],[axiom_13]) ).
cnf(l24,plain,
r0(e),
inference(instantiation,[status(thm)],[12]) ).
cnf(0,plain,
s0(d),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l34,plain,
s0(d),
inference(instantiation,[status(thm)],[0]) ).
cnf(19,plain,
l0(a),
inference(cnf,[status(esa)],[axiom_20]) ).
cnf(l25,plain,
l0(a),
inference(instantiation,[status(thm)],[19]) ).
cnf(35,plain,
q0(a,b),
inference(cnf,[status(esa)],[axiom_36]) ).
cnf(l31,plain,
q0(a,b),
inference(instantiation,[status(thm)],[35]) ).
cnf(27,plain,
k0(e),
inference(cnf,[status(esa)],[axiom_28]) ).
cnf(l14,plain,
k0(e),
inference(instantiation,[status(thm)],[27]) ).
cnf(l48,plain,
r0(e),
inference(instantiation,[status(thm)],[12]) ).
cnf(26,plain,
m0(e,b,c),
inference(cnf,[status(esa)],[axiom_27]) ).
cnf(l45,plain,
m0(e,b,c),
inference(instantiation,[status(thm)],[26]) ).
cnf(211,plain,
( ~ k0(X0)
| ~ p1(X1,X1,X1)
| q2(X1,X0,X0) ),
inference(cnf,[status(esa)],[rule_177]) ).
cnf(l42,plain,
( ~ k0(e)
| ~ p1(e,e,e)
| q2(e,e,e) ),
inference(instantiation,[status(thm)],[211]) ).
cnf(l41,plain,
s0(d),
inference(instantiation,[status(thm)],[0]) ).
cnf(17,plain,
p0(c,b),
inference(cnf,[status(esa)],[axiom_18]) ).
cnf(l49,plain,
p0(c,b),
inference(instantiation,[status(thm)],[17]) ).
cnf(127,plain,
( ~ p0(X0,X1)
| ~ n0(X2,X3)
| q1(X1,X3,X1) ),
inference(cnf,[status(esa)],[rule_092]) ).
cnf(l32,plain,
( ~ p0(b,d)
| ~ n0(d,b)
| q1(d,b,d) ),
inference(instantiation,[status(thm)],[127]) ).
cnf(29,plain,
n0(e,e),
inference(cnf,[status(esa)],[axiom_30]) ).
cnf(l35,plain,
n0(e,e),
inference(instantiation,[status(thm)],[29]) ).
cnf(152,plain,
( ~ s0(d)
| ~ k0(e)
| q1(d,d,d) ),
inference(cnf,[status(esa)],[rule_117]) ).
cnf(l16,plain,
( ~ s0(d)
| ~ k0(e)
| q1(d,d,d) ),
inference(instantiation,[status(thm)],[152]) ).
cnf(1,plain,
q0(e,d),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l19,plain,
q0(e,d),
inference(instantiation,[status(thm)],[1]) ).
cnf(6,plain,
n0(d,b),
inference(cnf,[status(esa)],[axiom_7]) ).
cnf(l33,plain,
n0(d,b),
inference(instantiation,[status(thm)],[6]) ).
cnf(l50,plain,
p0(b,d),
inference(instantiation,[status(thm)],[13]) ).
cnf(l62,plain,
s0(d),
inference(instantiation,[status(thm)],[0]) ).
cnf(l59,plain,
k0(e),
inference(instantiation,[status(thm)],[27]) ).
cnf(l67,plain,
k0(e),
inference(instantiation,[status(thm)],[27]) ).
cnf(125,plain,
( ~ r0(e)
| ~ k0(e)
| p1(e,e,e) ),
inference(cnf,[status(esa)],[rule_090]) ).
cnf(l65,plain,
( ~ r0(e)
| ~ k0(e)
| p1(e,e,e) ),
inference(instantiation,[status(thm)],[125]) ).
cnf(116,plain,
( ~ q0(X0,X1)
| ~ l0(X2)
| ~ m1(X3,X0,X4)
| p1(X4,X4,X4) ),
inference(cnf,[status(esa)],[rule_081]) ).
cnf(l52,plain,
( ~ q0(e,d)
| ~ l0(a)
| ~ m1(e,e,e)
| p1(e,e,e) ),
inference(instantiation,[status(thm)],[116]) ).
cnf(l53,plain,
q0(e,d),
inference(instantiation,[status(thm)],[1]) ).
cnf(l60,plain,
l0(a),
inference(instantiation,[status(thm)],[19]) ).
cnf(l69,plain,
k0(e),
inference(instantiation,[status(thm)],[27]) ).
cnf(67,plain,
( ~ r0(e)
| m1(e,e,e) ),
inference(cnf,[status(esa)],[rule_030]) ).
cnf(l61,plain,
( ~ r0(e)
| m1(e,e,e) ),
inference(instantiation,[status(thm)],[67]) ).
cnf(l66,plain,
r0(e),
inference(instantiation,[status(thm)],[12]) ).
cnf(l68,plain,
r0(e),
inference(instantiation,[status(thm)],[12]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l6,l7,l8,l15,l9,l12,l18,l30,l10,l28,l20,l11,l29,l23,l24,l34,l25,l31,l14,l48,l45,l42,l41,l49,l32,l35,l16,l19,l33,l50,l62,l59,l67,l65,l52,l53,l60,l69,l61,l66,l68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN155-1 : 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 : n027.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 15:39:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 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: 3
% 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: 7
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.36 % launching worker at depth: 10
% 0.13/0.36 % launching worker at depth: 11
% 0.19/0.36 % launching worker at depth: 12
% 0.19/0.37 % SZS status Theorem for theBenchmark
% 0.19/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------