%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN180-1 : 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 09:27:04 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,
~ q4(a,e),
inference(cnf,[status(esa)],[prove_this]) ).
cnf(l0,plain,
~ q4(a,e),
inference(instantiation,[status(thm)],[361]) ).
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(l1,plain,
( ~ q2(a,e,a)
| ~ k3(a,a,a)
| ~ m3(a,a,a)
| q4(a,e) ),
inference(instantiation,[status(thm)],[325]) ).
cnf(237,plain,
( ~ r2(a)
| k3(a,a,a) ),
inference(cnf,[status(esa)],[rule_204]) ).
cnf(l3,plain,
( ~ r2(a)
| k3(a,a,a) ),
inference(instantiation,[status(thm)],[237]) ).
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(l2,plain,
( ~ m0(e,d,a)
| ~ k0(e)
| ~ r1(e)
| ~ q2(e,e,e)
| q2(a,e,a) ),
inference(instantiation,[status(thm)],[221]) ).
cnf(264,plain,
( ~ l2(X0,X0)
| ~ n2(X0)
| m3(X0,X0,X0) ),
inference(cnf,[status(esa)],[rule_232]) ).
cnf(l4,plain,
( ~ l2(a,a)
| ~ n2(a)
| m3(a,a,a) ),
inference(instantiation,[status(thm)],[264]) ).
cnf(171,plain,
( ~ p1(X0,X1,X2)
| n2(X2) ),
inference(cnf,[status(esa)],[rule_137]) ).
cnf(l9,plain,
( ~ p1(a,a,a)
| n2(a) ),
inference(instantiation,[status(thm)],[171]) ).
cnf(222,plain,
( ~ l0(X0)
| ~ r1(X0)
| r2(X0) ),
inference(cnf,[status(esa)],[rule_188]) ).
cnf(l7,plain,
( ~ l0(a)
| ~ r1(a)
| r2(a) ),
inference(instantiation,[status(thm)],[222]) ).
cnf(220,plain,
( ~ l1(X0,X1)
| q2(X1,X1,X0) ),
inference(cnf,[status(esa)],[rule_186]) ).
cnf(l80,plain,
( ~ l1(e,e)
| q2(e,e,e) ),
inference(instantiation,[status(thm)],[220]) ).
cnf(159,plain,
( ~ s0(d)
| ~ q0(X0,X1)
| ~ q1(d,X1,d)
| r1(X0) ),
inference(cnf,[status(esa)],[rule_124]) ).
cnf(l28,plain,
( ~ s0(d)
| ~ q0(e,d)
| ~ q1(d,d,d)
| r1(e) ),
inference(instantiation,[status(thm)],[159]) ).
cnf(l8,plain,
( ~ s0(d)
| ~ q0(a,b)
| ~ q1(d,b,d)
| r1(a) ),
inference(instantiation,[status(thm)],[159]) ).
cnf(0,plain,
s0(d),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l83,plain,
s0(d),
inference(instantiation,[status(thm)],[0]) ).
cnf(168,plain,
( ~ p0(X0,X1)
| ~ m0(X0,X1,X2)
| ~ m1(X2,X0,X0)
| l2(X1,X1) ),
inference(cnf,[status(esa)],[rule_134]) ).
cnf(l6,plain,
( ~ p0(b,a)
| ~ m0(b,a,a)
| ~ m1(a,b,b)
| l2(a,a) ),
inference(instantiation,[status(thm)],[168]) ).
cnf(13,plain,
p0(b,X0),
inference(cnf,[status(esa)],[axiom_14]) ).
cnf(l25,plain,
p0(b,a),
inference(instantiation,[status(thm)],[13]) ).
cnf(16,plain,
q0(X0,d),
inference(cnf,[status(esa)],[axiom_17]) ).
cnf(l30,plain,
q0(e,d),
inference(instantiation,[status(thm)],[16]) ).
cnf(27,plain,
k0(e),
inference(cnf,[status(esa)],[axiom_28]) ).
cnf(l11,plain,
k0(e),
inference(instantiation,[status(thm)],[27]) ).
cnf(41,plain,
( ~ l0(X0)
| ~ k1(X1)
| ~ l1(X0,X0)
| l1(X1,X1) ),
inference(cnf,[status(esa)],[rule_004]) ).
cnf(l84,plain,
( ~ l0(c)
| ~ k1(e)
| ~ l1(c,c)
| l1(e,e) ),
inference(instantiation,[status(thm)],[41]) ).
cnf(23,plain,
l0(c),
inference(cnf,[status(esa)],[axiom_24]) ).
cnf(l85,plain,
l0(c),
inference(instantiation,[status(thm)],[23]) ).
cnf(100,plain,
( ~ m0(X0,X1,b)
| ~ l0(X2)
| p1(X2,X2,X2) ),
inference(cnf,[status(esa)],[rule_064]) ).
cnf(l19,plain,
( ~ m0(X0_98,d,b)
| ~ l0(a)
| p1(a,a,a) ),
inference(instantiation,[status(thm)],[100]) ).
cnf(35,plain,
q0(a,b),
inference(cnf,[status(esa)],[axiom_36]) ).
cnf(l88,plain,
q0(a,b),
inference(instantiation,[status(thm)],[35]) ).
cnf(19,plain,
l0(a),
inference(cnf,[status(esa)],[axiom_20]) ).
cnf(l21,plain,
l0(a),
inference(instantiation,[status(thm)],[19]) ).
cnf(38,plain,
( ~ n0(X0,X1)
| k1(X1) ),
inference(cnf,[status(esa)],[rule_001]) ).
cnf(l95,plain,
( ~ n0(e,e)
| k1(e) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(149,plain,
( ~ m0(X0,X0,X1)
| ~ k0(X1)
| q1(X0,X0,X0) ),
inference(cnf,[status(esa)],[rule_114]) ).
cnf(l58,plain,
( ~ m0(d,d,e)
| ~ k0(e)
| q1(d,d,d) ),
inference(instantiation,[status(thm)],[149]) ).
cnf(l60,plain,
k0(e),
inference(instantiation,[status(thm)],[27]) ).
cnf(29,plain,
n0(e,e),
inference(cnf,[status(esa)],[axiom_30]) ).
cnf(l96,plain,
n0(e,e),
inference(instantiation,[status(thm)],[29]) ).
cnf(l99,plain,
l0(a),
inference(instantiation,[status(thm)],[19]) ).
cnf(3,plain,
m0(e,d,a),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l5,plain,
m0(e,d,a),
inference(instantiation,[status(thm)],[3]) ).
cnf(39,plain,
( ~ n0(X0,X1)
| l1(X1,X1) ),
inference(cnf,[status(esa)],[rule_002]) ).
cnf(l86,plain,
( ~ n0(d,c)
| l1(c,c) ),
inference(instantiation,[status(thm)],[39]) ).
cnf(18,plain,
m0(X0,d,X1),
inference(cnf,[status(esa)],[axiom_19]) ).
cnf(l59,plain,
m0(d,d,e),
inference(instantiation,[status(thm)],[18]) ).
cnf(l43,plain,
s0(d),
inference(instantiation,[status(thm)],[0]) ).
cnf(25,plain,
n0(d,c),
inference(cnf,[status(esa)],[axiom_26]) ).
cnf(l90,plain,
n0(d,c),
inference(instantiation,[status(thm)],[25]) ).
cnf(l98,plain,
m0(X0_98,d,b),
inference(instantiation,[status(thm)],[18]) ).
cnf(127,plain,
( ~ p0(X0,X1)
| ~ n0(X2,X3)
| q1(X1,X3,X1) ),
inference(cnf,[status(esa)],[rule_092]) ).
cnf(l89,plain,
( ~ p0(b,d)
| ~ n0(d,b)
| q1(d,b,d) ),
inference(instantiation,[status(thm)],[127]) ).
cnf(37,plain,
m0(b,a,a),
inference(cnf,[status(esa)],[axiom_38]) ).
cnf(l12,plain,
m0(b,a,a),
inference(instantiation,[status(thm)],[37]) ).
cnf(l94,plain,
p0(b,d),
inference(instantiation,[status(thm)],[13]) ).
cnf(6,plain,
n0(d,b),
inference(cnf,[status(esa)],[axiom_7]) ).
cnf(l97,plain,
n0(d,b),
inference(instantiation,[status(thm)],[6]) ).
cnf(53,plain,
( ~ m1(X0,X1,X2)
| ~ m1(X0,X3,X1)
| m1(X2,X1,X1) ),
inference(cnf,[status(esa)],[rule_016]) ).
cnf(l36,plain,
( ~ m1(a,b,a)
| ~ m1(a,a,b)
| m1(a,b,b) ),
inference(instantiation,[status(thm)],[53]) ).
cnf(58,plain,
( ~ l0(X0)
| ~ k0(X1)
| m1(X0,X1,X0) ),
inference(cnf,[status(esa)],[rule_021]) ).
cnf(l87,plain,
( ~ l0(a)
| ~ k0(b)
| m1(a,b,a) ),
inference(instantiation,[status(thm)],[58]) ).
cnf(l104,plain,
l0(a),
inference(instantiation,[status(thm)],[19]) ).
cnf(31,plain,
k0(b),
inference(cnf,[status(esa)],[axiom_32]) ).
cnf(l106,plain,
k0(b),
inference(instantiation,[status(thm)],[31]) ).
cnf(61,plain,
( ~ q0(X0,X1)
| ~ m0(a,X2,a)
| ~ m1(X1,c,X1)
| m1(X0,a,X1) ),
inference(cnf,[status(esa)],[rule_024]) ).
cnf(l93,plain,
( ~ q0(a,b)
| ~ m0(a,X0_107,a)
| ~ m1(b,c,b)
| m1(a,a,b) ),
inference(instantiation,[status(thm)],[61]) ).
cnf(l105,plain,
q0(a,b),
inference(instantiation,[status(thm)],[35]) ).
cnf(11,plain,
m0(a,X0,a),
inference(cnf,[status(esa)],[axiom_12]) ).
cnf(l107,plain,
m0(a,X0_107,a),
inference(instantiation,[status(thm)],[11]) ).
cnf(44,plain,
( ~ r0(X0)
| ~ p0(X1,X2)
| m1(X0,X2,X0) ),
inference(cnf,[status(esa)],[rule_007]) ).
cnf(l108,plain,
( ~ r0(b)
| ~ p0(b,c)
| m1(b,c,b) ),
inference(instantiation,[status(thm)],[44]) ).
cnf(8,plain,
r0(b),
inference(cnf,[status(esa)],[axiom_9]) ).
cnf(l109,plain,
r0(b),
inference(instantiation,[status(thm)],[8]) ).
cnf(21,plain,
p0(b,c),
inference(cnf,[status(esa)],[axiom_22]) ).
cnf(l110,plain,
p0(b,c),
inference(instantiation,[status(thm)],[21]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2,l4,l9,l7,l80,l28,l8,l83,l6,l25,l30,l11,l84,l85,l19,l88,l21,l95,l58,l60,l96,l99,l5,l86,l59,l43,l90,l98,l89,l12,l94,l97,l36,l87,l104,l106,l93,l105,l107,l108,l109,l110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN180-1 : 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 : n018.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 15:40:49 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % launching worker at depth: 1
% 0.13/0.36 % launching worker at depth: 3
% 0.13/0.36 % launching worker at depth: 5
% 0.13/0.36 % launching worker at depth: 7
% 0.13/0.36 % launching worker at depth: 6
% 0.13/0.36 % launching worker at depth: 4
% 0.13/0.36 % launching worker at depth: 2
% 0.13/0.36 % launching worker at depth: 8
% 0.13/0.36 % launching worker at depth: 9
% 0.13/0.36 % launching worker at depth: 10
% 0.13/0.36 % launching worker at depth: 11
% 0.19/0.37 % SZS status Theorem for theBenchmark
% 0.19/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------