%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN253-1 : 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 : n025.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 09:27:14 PM UTC 2025
% Result : Unsatisfiable 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_this)
% Comments :
%------------------------------------------------------------------------------
cnf(361,plain,
~ m4(e,X0),
inference(cnf,[status(esa)],[prove_this]) ).
cnf(l0,plain,
~ m4(e,a),
inference(instantiation,[status(thm)],[361]) ).
cnf(310,plain,
( ~ l2(X0,X1)
| ~ s3(a,X2)
| m4(X2,X1) ),
inference(cnf,[status(esa)],[rule_279]) ).
cnf(l1,plain,
( ~ l2(a,a)
| ~ s3(a,e)
| m4(e,a) ),
inference(instantiation,[status(thm)],[310]) ).
cnf(167,plain,
( ~ p0(X0,X0)
| ~ m0(X1,X2,X3)
| ~ s1(X2)
| l2(X3,X3) ),
inference(cnf,[status(esa)],[rule_133]) ).
cnf(l2,plain,
( ~ p0(b,b)
| ~ m0(e,d,a)
| ~ s1(d)
| l2(a,a) ),
inference(instantiation,[status(thm)],[167]) ).
cnf(161,plain,
( ~ q0(X0,X1)
| ~ s1(X2)
| s1(X0) ),
inference(cnf,[status(esa)],[rule_126]) ).
cnf(l3,plain,
( ~ q0(d,c)
| ~ s1(X0_11)
| s1(d) ),
inference(instantiation,[status(thm)],[161]) ).
cnf(13,plain,
p0(b,X0),
inference(cnf,[status(esa)],[axiom_14]) ).
cnf(l4,plain,
p0(b,b),
inference(instantiation,[status(thm)],[13]) ).
cnf(305,plain,
( ~ m0(X0,X1,X2)
| ~ q2(X0,X3,X0)
| ~ s2(X3)
| s3(X3,X2) ),
inference(cnf,[status(esa)],[rule_273]) ).
cnf(l5,plain,
( ~ m0(a,e,e)
| ~ q2(a,a,a)
| ~ s2(a)
| s3(a,e) ),
inference(instantiation,[status(thm)],[305]) ).
cnf(3,plain,
m0(e,d,a),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l6,plain,
m0(e,d,a),
inference(instantiation,[status(thm)],[3]) ).
cnf(l7,plain,
( ~ q0(X0_11,d)
| ~ s1(b)
| s1(X0_11) ),
inference(instantiation,[status(thm)],[161]) ).
cnf(32,plain,
q0(d,c),
inference(cnf,[status(esa)],[axiom_33]) ).
cnf(l8,plain,
q0(d,c),
inference(instantiation,[status(thm)],[32]) ).
cnf(218,plain,
( ~ q1(X0,c,X1)
| q2(X1,X1,X1) ),
inference(cnf,[status(esa)],[rule_184]) ).
cnf(l9,plain,
( ~ q1(a,c,a)
| q2(a,a,a) ),
inference(instantiation,[status(thm)],[218]) ).
cnf(127,plain,
( ~ p0(X0,X1)
| ~ n0(X2,X3)
| q1(X1,X3,X1) ),
inference(cnf,[status(esa)],[rule_092]) ).
cnf(l10,plain,
( ~ p0(b,a)
| ~ n0(d,c)
| q1(a,c,a) ),
inference(instantiation,[status(thm)],[127]) ).
cnf(16,plain,
q0(X0,d),
inference(cnf,[status(esa)],[axiom_17]) ).
cnf(l11,plain,
q0(X0_11,d),
inference(instantiation,[status(thm)],[16]) ).
cnf(22,plain,
m0(a,e,e),
inference(cnf,[status(esa)],[axiom_23]) ).
cnf(l12,plain,
m0(a,e,e),
inference(instantiation,[status(thm)],[22]) ).
cnf(25,plain,
n0(d,c),
inference(cnf,[status(esa)],[axiom_26]) ).
cnf(l13,plain,
n0(d,c),
inference(instantiation,[status(thm)],[25]) ).
cnf(160,plain,
( ~ p0(X0,X0)
| s1(X0) ),
inference(cnf,[status(esa)],[rule_125]) ).
cnf(l14,plain,
( ~ p0(b,b)
| s1(b) ),
inference(instantiation,[status(thm)],[160]) ).
cnf(223,plain,
( ~ s1(b)
| ~ q2(b,X0,b)
| s2(X0) ),
inference(cnf,[status(esa)],[rule_189]) ).
cnf(l15,plain,
( ~ s1(b)
| ~ q2(b,a,b)
| s2(a) ),
inference(instantiation,[status(thm)],[223]) ).
cnf(l16,plain,
( ~ p0(b,b)
| s1(b) ),
inference(instantiation,[status(thm)],[160]) ).
cnf(l19,plain,
p0(b,b),
inference(instantiation,[status(thm)],[13]) ).
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(l24,plain,
( ~ p1(b,b,b)
| ~ n1(a,b,b)
| ~ q2(a,b,b)
| q2(b,a,b) ),
inference(instantiation,[status(thm)],[216]) ).
cnf(l17,plain,
p0(b,b),
inference(instantiation,[status(thm)],[13]) ).
cnf(l18,plain,
p0(b,a),
inference(instantiation,[status(thm)],[13]) ).
cnf(90,plain,
( ~ l0(X0)
| ~ l1(X0,X1)
| ~ n1(X1,X2,X1)
| n1(X1,X2,X2) ),
inference(cnf,[status(esa)],[rule_054]) ).
cnf(l26,plain,
( ~ l0(a)
| ~ l1(a,a)
| ~ n1(a,b,a)
| n1(a,b,b) ),
inference(instantiation,[status(thm)],[90]) ).
cnf(108,plain,
( ~ s0(X0)
| ~ s0(X1)
| p1(X0,X0,X0) ),
inference(cnf,[status(esa)],[rule_072]) ).
cnf(l28,plain,
( ~ s0(b)
| ~ s0(b)
| p1(b,b,b) ),
inference(instantiation,[status(thm)],[108]) ).
cnf(19,plain,
l0(a),
inference(cnf,[status(esa)],[axiom_20]) ).
cnf(l34,plain,
l0(a),
inference(instantiation,[status(thm)],[19]) ).
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(31,plain,
k0(b),
inference(cnf,[status(esa)],[axiom_32]) ).
cnf(l40,plain,
k0(b),
inference(instantiation,[status(thm)],[31]) ).
cnf(4,plain,
s0(b),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l32,plain,
s0(b),
inference(instantiation,[status(thm)],[4]) ).
cnf(39,plain,
( ~ n0(X0,X1)
| l1(X1,X1) ),
inference(cnf,[status(esa)],[rule_002]) ).
cnf(l33,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(l35,plain,
( ~ s0(b)
| ~ p0(b,b)
| ~ l0(a)
| n1(a,b,a) ),
inference(instantiation,[status(thm)],[86]) ).
cnf(l39,plain,
l0(a),
inference(instantiation,[status(thm)],[19]) ).
cnf(l36,plain,
p0(b,b),
inference(instantiation,[status(thm)],[13]) ).
cnf(l41,plain,
s0(b),
inference(instantiation,[status(thm)],[4]) ).
cnf(l31,plain,
s0(b),
inference(instantiation,[status(thm)],[4]) ).
cnf(36,plain,
n0(b,a),
inference(cnf,[status(esa)],[axiom_37]) ).
cnf(l42,plain,
n0(b,a),
inference(instantiation,[status(thm)],[36]) ).
cnf(111,plain,
( ~ p0(b,a)
| p1(a,a,a) ),
inference(cnf,[status(esa)],[rule_075]) ).
cnf(l29,plain,
( ~ p0(b,a)
| p1(a,a,a) ),
inference(instantiation,[status(thm)],[111]) ).
cnf(l30,plain,
p0(b,a),
inference(instantiation,[status(thm)],[13]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l6,l7,l8,l9,l10,l11,l12,l13,l14,l15,l16,l19,l24,l17,l18,l26,l28,l34,l25,l40,l32,l33,l35,l39,l36,l41,l31,l42,l29,l30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN253-1 : TPTP v9.0.0. Released v1.1.0.
% 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Jul 22 15:44:49 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % launching worker at depth: 1
% 0.13/0.36 % launching worker at depth: 5
% 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: 3
% 0.13/0.36 % launching worker at depth: 7
% 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
% 0.13/0.36 % launching worker at depth: 12
% 0.13/0.36 % launching worker at depth: 13
% 0.13/0.37 % launching worker at depth: 14
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------