%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : PLA018-1 : 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 12:46:19 PM UTC 2025
% Result : Unsatisfiable 7.12s 1.25s
% Output : CNFRefutation 7.12s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_AB_DC)
% Comments :
%------------------------------------------------------------------------------
cnf(30,plain,
~ holds(and(on(a,b),on(d,c)),X0),
inference(cnf,[status(esa)],[prove_AB_DC]) ).
cnf(l0,plain,
~ holds(and(on(a,b),on(d,c)),do(putdown(d,c),do(pickup(d),do(putdown(a,b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))))),
inference(instantiation,[status(thm)],[30]) ).
cnf(0,plain,
( ~ holds(X0,X1)
| ~ holds(X2,X1)
| holds(and(X0,X2),X1) ),
inference(cnf,[status(esa)],[and_definition]) ).
cnf(l1,plain,
( ~ holds(on(a,b),do(putdown(d,c),do(pickup(d),do(putdown(a,b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))))))
| ~ holds(on(d,c),do(putdown(d,c),do(pickup(d),do(putdown(a,b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))))))
| holds(and(on(a,b),on(d,c)),do(putdown(d,c),do(pickup(d),do(putdown(a,b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(8,plain,
( ~ holds(on(X0,X1),X2)
| holds(on(X0,X1),do(putdown(X3,X4),X2)) ),
inference(cnf,[status(esa)],[putdown_4]) ).
cnf(l3,plain,
( ~ holds(on(a,b),do(pickup(d),do(putdown(a,b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))))
| holds(on(a,b),do(putdown(d,c),do(pickup(d),do(putdown(a,b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))))) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(3,plain,
( ~ holds(on(X0,X1),X2)
| ~ differ(X0,X3)
| holds(on(X0,X1),do(pickup(X3),X2)) ),
inference(cnf,[status(esa)],[pickup_3]) ).
cnf(l7,plain,
( ~ holds(on(a,b),do(putdown(a,b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))))
| ~ differ(a,d)
| holds(on(a,b),do(pickup(d),do(putdown(a,b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))))) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(6,plain,
( ~ holds(clear(X0),X1)
| ~ holds(holding(X2),X1)
| holds(on(X2,X0),do(putdown(X2,X0),X1)) ),
inference(cnf,[status(esa)],[putdown_2]) ).
cnf(l39,plain,
( ~ holds(clear(b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))
| ~ holds(holding(a),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))
| holds(on(a,b),do(putdown(a,b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(13,plain,
differ(a,d),
inference(cnf,[status(esa)],[differ_a_d]) ).
cnf(l22,plain,
differ(a,d),
inference(instantiation,[status(thm)],[13]) ).
cnf(l2,plain,
( ~ holds(clear(c),do(pickup(d),do(putdown(a,b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))))
| ~ holds(holding(d),do(pickup(d),do(putdown(a,b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))))
| holds(on(d,c),do(putdown(d,c),do(pickup(d),do(putdown(a,b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(1,plain,
( ~ holds(empty,X0)
| ~ holds(clear(X1),X0)
| ~ differ(X1,table)
| holds(holding(X1),do(pickup(X1),X0)) ),
inference(cnf,[status(esa)],[pickup_1]) ).
cnf(l107,plain,
( ~ holds(empty,do(putdown(c,table),do(pickup(c),s0)))
| ~ holds(clear(a),do(putdown(c,table),do(pickup(c),s0)))
| ~ differ(a,table)
| holds(holding(a),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(4,plain,
( ~ holds(clear(X0),X1)
| ~ differ(X0,X2)
| holds(clear(X0),do(pickup(X2),X1)) ),
inference(cnf,[status(esa)],[pickup_4]) ).
cnf(l5,plain,
( ~ holds(clear(c),do(putdown(a,b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))))
| ~ differ(c,d)
| holds(clear(c),do(pickup(d),do(putdown(a,b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(9,plain,
( ~ holds(clear(X0),X1)
| ~ differ(X0,X2)
| holds(clear(X0),do(putdown(X3,X2),X1)) ),
inference(cnf,[status(esa)],[putdown_5]) ).
cnf(l199,plain,
( ~ holds(clear(a),do(pickup(c),s0))
| ~ differ(a,table)
| holds(clear(a),do(putdown(c,table),do(pickup(c),s0))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l4,plain,
( ~ holds(empty,do(putdown(a,b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))))
| ~ holds(clear(d),do(putdown(a,b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))))
| ~ differ(d,table)
| holds(holding(d),do(pickup(d),do(putdown(a,b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l36,plain,
( ~ holds(clear(d),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))
| ~ differ(d,b)
| holds(clear(d),do(putdown(a,b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(5,plain,
( ~ holds(clear(X0),X1)
| ~ holds(holding(X2),X1)
| holds(empty,do(putdown(X2,X0),X1)) ),
inference(cnf,[status(esa)],[putdown_1]) ).
cnf(l193,plain,
( ~ holds(clear(table),do(pickup(c),s0))
| ~ holds(holding(c),do(pickup(c),s0))
| holds(empty,do(putdown(c,table),do(pickup(c),s0))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l30,plain,
( ~ holds(clear(c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))
| ~ differ(c,b)
| holds(clear(c),do(putdown(a,b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(14,plain,
differ(a,table),
inference(cnf,[status(esa)],[differ_a_table]) ).
cnf(l186,plain,
differ(a,table),
inference(instantiation,[status(thm)],[14]) ).
cnf(20,plain,
differ(d,table),
inference(cnf,[status(esa)],[differ_d_table]) ).
cnf(l6,plain,
differ(d,table),
inference(instantiation,[status(thm)],[20]) ).
cnf(l8,plain,
( ~ holds(clear(b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))
| ~ holds(holding(a),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))
| holds(empty,do(putdown(a,b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l203,plain,
( ~ holds(clear(a),s0)
| ~ differ(a,c)
| holds(clear(a),do(pickup(c),s0)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(10,plain,
( ~ differ(X0,X1)
| differ(X1,X0) ),
inference(cnf,[status(esa)],[symmetry_of_differ]) ).
cnf(l37,plain,
( ~ differ(b,d)
| differ(d,b) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(16,plain,
differ(b,d),
inference(cnf,[status(esa)],[differ_b_d]) ).
cnf(l115,plain,
differ(b,d),
inference(instantiation,[status(thm)],[16]) ).
cnf(25,plain,
holds(clear(a),s0),
inference(cnf,[status(esa)],[initial_state5]) ).
cnf(l204,plain,
holds(clear(a),s0),
inference(instantiation,[status(thm)],[25]) ).
cnf(l59,plain,
( ~ holds(clear(b),do(putdown(c,table),do(pickup(c),s0)))
| ~ differ(b,a)
| holds(clear(b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l64,plain,
( ~ holds(clear(d),do(putdown(c,table),do(pickup(c),s0)))
| ~ differ(d,a)
| holds(clear(d),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l42,plain,
( ~ holds(clear(c),do(putdown(c,table),do(pickup(c),s0)))
| ~ differ(c,a)
| holds(clear(c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l77,plain,
( ~ differ(a,b)
| differ(b,a) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l200,plain,
differ(a,table),
inference(instantiation,[status(thm)],[14]) ).
cnf(l45,plain,
( ~ differ(b,c)
| differ(c,b) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l195,plain,
( ~ holds(empty,s0)
| ~ holds(clear(c),s0)
| ~ differ(c,table)
| holds(holding(c),do(pickup(c),s0)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l76,plain,
( ~ differ(a,c)
| differ(c,a) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(28,plain,
holds(empty,s0),
inference(cnf,[status(esa)],[initial_state8]) ).
cnf(l212,plain,
holds(empty,s0),
inference(instantiation,[status(thm)],[28]) ).
cnf(15,plain,
differ(b,c),
inference(cnf,[status(esa)],[differ_b_c]) ).
cnf(l46,plain,
differ(b,c),
inference(instantiation,[status(thm)],[15]) ).
cnf(12,plain,
differ(a,c),
inference(cnf,[status(esa)],[differ_a_c]) ).
cnf(l209,plain,
differ(a,c),
inference(instantiation,[status(thm)],[12]) ).
cnf(l65,plain,
( ~ differ(a,d)
| differ(d,a) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l10,plain,
( ~ holds(empty,do(putdown(c,table),do(pickup(c),s0)))
| ~ holds(clear(a),do(putdown(c,table),do(pickup(c),s0)))
| ~ differ(a,table)
| holds(holding(a),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l24,plain,
( ~ holds(clear(b),do(putdown(c,table),do(pickup(c),s0)))
| ~ differ(b,a)
| holds(clear(b),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(11,plain,
differ(a,b),
inference(cnf,[status(esa)],[differ_a_b]) ).
cnf(l78,plain,
differ(a,b),
inference(instantiation,[status(thm)],[11]) ).
cnf(l28,plain,
differ(a,table),
inference(instantiation,[status(thm)],[14]) ).
cnf(18,plain,
differ(c,d),
inference(cnf,[status(esa)],[differ_c_d]) ).
cnf(l11,plain,
differ(c,d),
inference(instantiation,[status(thm)],[18]) ).
cnf(l15,plain,
( ~ holds(clear(a),do(pickup(c),s0))
| ~ differ(a,table)
| holds(clear(a),do(putdown(c,table),do(pickup(c),s0))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l33,plain,
( ~ holds(clear(table),do(pickup(c),s0))
| ~ holds(holding(c),do(pickup(c),s0))
| holds(empty,do(putdown(c,table),do(pickup(c),s0))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l16,plain,
( ~ holds(clear(a),s0)
| ~ differ(a,c)
| holds(clear(a),do(pickup(c),s0)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l38,plain,
holds(clear(a),s0),
inference(instantiation,[status(thm)],[25]) ).
cnf(29,plain,
holds(clear(table),X0),
inference(cnf,[status(esa)],[clear_table]) ).
cnf(l194,plain,
holds(clear(table),do(pickup(c),s0)),
inference(instantiation,[status(thm)],[29]) ).
cnf(27,plain,
holds(clear(c),s0),
inference(cnf,[status(esa)],[initial_state7]) ).
cnf(l207,plain,
holds(clear(c),s0),
inference(instantiation,[status(thm)],[27]) ).
cnf(l18,plain,
differ(a,table),
inference(instantiation,[status(thm)],[14]) ).
cnf(l147,plain,
differ(a,d),
inference(instantiation,[status(thm)],[13]) ).
cnf(l66,plain,
( ~ holds(clear(d),do(pickup(c),s0))
| ~ differ(d,table)
| holds(clear(d),do(putdown(c,table),do(pickup(c),s0))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(2,plain,
( ~ holds(empty,X0)
| ~ holds(clear(X1),X0)
| ~ holds(on(X1,X2),X0)
| holds(clear(X2),do(pickup(X1),X0)) ),
inference(cnf,[status(esa)],[pickup_2]) ).
cnf(l105,plain,
( ~ holds(empty,s0)
| ~ holds(clear(c),s0)
| ~ holds(on(c,d),s0)
| holds(clear(d),do(pickup(c),s0)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l144,plain,
differ(a,c),
inference(instantiation,[status(thm)],[12]) ).
cnf(19,plain,
differ(c,table),
inference(cnf,[status(esa)],[differ_c_table]) ).
cnf(l208,plain,
differ(c,table),
inference(instantiation,[status(thm)],[19]) ).
cnf(7,plain,
( ~ holds(clear(X0),X1)
| ~ holds(holding(X2),X1)
| holds(clear(X2),do(putdown(X2,X0),X1)) ),
inference(cnf,[status(esa)],[putdown_3]) ).
cnf(l69,plain,
( ~ holds(clear(table),do(pickup(c),s0))
| ~ holds(holding(c),do(pickup(c),s0))
| holds(clear(c),do(putdown(c,table),do(pickup(c),s0))) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l106,plain,
holds(clear(c),s0),
inference(instantiation,[status(thm)],[27]) ).
cnf(23,plain,
holds(on(c,d),s0),
inference(cnf,[status(esa)],[initial_state3]) ).
cnf(l145,plain,
holds(on(c,d),s0),
inference(instantiation,[status(thm)],[23]) ).
cnf(l67,plain,
differ(d,table),
inference(instantiation,[status(thm)],[20]) ).
cnf(l116,plain,
holds(empty,s0),
inference(instantiation,[status(thm)],[28]) ).
cnf(l51,plain,
( ~ holds(empty,s0)
| ~ holds(clear(c),s0)
| ~ differ(c,table)
| holds(holding(c),do(pickup(c),s0)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l72,plain,
( ~ holds(empty,s0)
| ~ holds(clear(c),s0)
| ~ differ(c,table)
| holds(holding(c),do(pickup(c),s0)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l44,plain,
( ~ differ(a,b)
| differ(b,a) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l172,plain,
holds(empty,s0),
inference(instantiation,[status(thm)],[28]) ).
cnf(l101,plain,
differ(a,b),
inference(instantiation,[status(thm)],[11]) ).
cnf(l34,plain,
differ(a,c),
inference(instantiation,[status(thm)],[12]) ).
cnf(l100,plain,
holds(empty,s0),
inference(instantiation,[status(thm)],[28]) ).
cnf(l57,plain,
holds(clear(c),s0),
inference(instantiation,[status(thm)],[27]) ).
cnf(l164,plain,
holds(clear(table),do(pickup(c),s0)),
inference(instantiation,[status(thm)],[29]) ).
cnf(l165,plain,
differ(c,table),
inference(instantiation,[status(thm)],[19]) ).
cnf(l73,plain,
( ~ holds(clear(b),do(pickup(c),s0))
| ~ differ(b,table)
| holds(clear(b),do(putdown(c,table),do(pickup(c),s0))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l43,plain,
holds(clear(table),do(pickup(c),s0)),
inference(instantiation,[status(thm)],[29]) ).
cnf(l26,plain,
( ~ holds(clear(b),do(pickup(c),s0))
| ~ differ(b,table)
| holds(clear(b),do(putdown(c,table),do(pickup(c),s0))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l168,plain,
holds(clear(c),s0),
inference(instantiation,[status(thm)],[27]) ).
cnf(17,plain,
differ(b,table),
inference(cnf,[status(esa)],[differ_b_table]) ).
cnf(l48,plain,
differ(b,table),
inference(instantiation,[status(thm)],[17]) ).
cnf(l92,plain,
( ~ holds(clear(b),s0)
| ~ differ(b,c)
| holds(clear(b),do(pickup(c),s0)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l125,plain,
( ~ holds(clear(b),s0)
| ~ differ(b,c)
| holds(clear(b),do(pickup(c),s0)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l134,plain,
differ(b,c),
inference(instantiation,[status(thm)],[15]) ).
cnf(l58,plain,
differ(c,table),
inference(instantiation,[status(thm)],[19]) ).
cnf(l94,plain,
differ(b,c),
inference(instantiation,[status(thm)],[15]) ).
cnf(26,plain,
holds(clear(b),s0),
inference(cnf,[status(esa)],[initial_state6]) ).
cnf(l99,plain,
holds(clear(b),s0),
inference(instantiation,[status(thm)],[26]) ).
cnf(l149,plain,
holds(clear(b),s0),
inference(instantiation,[status(thm)],[26]) ).
cnf(l86,plain,
differ(b,table),
inference(instantiation,[status(thm)],[17]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l7,l39,l22,l2,l107,l5,l199,l4,l36,l193,l30,l186,l6,l8,l203,l37,l115,l204,l59,l64,l42,l77,l200,l45,l195,l76,l212,l46,l209,l65,l10,l24,l78,l28,l11,l15,l33,l16,l38,l194,l207,l18,l147,l66,l105,l144,l208,l69,l106,l145,l67,l116,l51,l72,l44,l172,l101,l34,l100,l57,l164,l165,l73,l43,l26,l168,l48,l92,l125,l134,l58,l94,l99,l149,l86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : PLA018-1 : TPTP v9.0.0. Released v1.1.0.
% 0.08/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n025.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 : Mon Jul 21 15:10:19 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 1
% 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: 2
% 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
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.35 % launching worker at depth: 11
% 0.13/0.36 % launching worker at depth: 12
% 0.13/0.37 % launching worker at depth: 13
% 0.19/0.45 % launching worker at depth: 14
% 0.19/0.54 % launching worker at depth: 15
% 7.12/1.25 % SZS status Theorem for theBenchmark
% 7.12/1.25 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------