TSTP Solution File: LCL035-1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : LCL035-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n006.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 : 600s
% DateTime : Sun Jul 17 12:06:29 EDT 2022
% Result : Unsatisfiable 0.13s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL035-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jul 2 10:37:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.37 % SZS status Unsatisfiable
% 0.13/0.37 % SZS output begin IncompleteProof
% 0.13/0.37 cnf(c0, axiom,
% 0.13/0.37 ~is_a_theorem(implies(falsehood,a))).
% 0.13/0.37 cnf(c1, plain,
% 0.13/0.37 ~is_a_theorem(implies(falsehood,a)),
% 0.13/0.37 inference(start, [], [c0])).
% 0.13/0.37
% 0.13/0.37 cnf(c2, axiom,
% 0.13/0.38 is_a_theorem(X0) | ~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0))).
% 0.13/0.38 cnf(a0, assumption,
% 0.13/0.38 implies(falsehood,a) = X0).
% 0.13/0.38 cnf(c3, plain,
% 0.13/0.38 $false,
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 0.13/0.38 cnf(c4, plain,
% 0.13/0.38 ~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0)),
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 0.13/0.38
% 0.13/0.38 cnf(c5, axiom,
% 0.13/0.38 is_a_theorem(implies(implies(implies(implies(implies(X2,X3),implies(X4,falsehood)),X5),X6),implies(implies(X6,X2),implies(X4,X2))))).
% 0.13/0.38 cnf(a1, assumption,
% 0.13/0.38 X1 = implies(implies(implies(implies(implies(X2,X3),implies(X4,falsehood)),X5),X6),implies(implies(X6,X2),implies(X4,X2)))).
% 0.13/0.38 cnf(c6, plain,
% 0.13/0.38 ~is_a_theorem(implies(X1,X0)),
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 0.13/0.38 cnf(c7, plain,
% 0.13/0.38 $false,
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 0.13/0.38
% 0.13/0.38 cnf(c8, axiom,
% 0.13/0.38 is_a_theorem(X7) | ~is_a_theorem(X8) | ~is_a_theorem(implies(X8,X7))).
% 0.13/0.38 cnf(a2, assumption,
% 0.13/0.38 implies(X1,X0) = X7).
% 0.13/0.38 cnf(c9, plain,
% 0.13/0.38 $false,
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a2])], [c6, c8])).
% 0.13/0.38 cnf(c10, plain,
% 0.13/0.38 ~is_a_theorem(X8) | ~is_a_theorem(implies(X8,X7)),
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a2])], [c6, c8])).
% 0.13/0.38
% 0.13/0.38 cnf(c11, axiom,
% 0.13/0.38 is_a_theorem(X9) | ~is_a_theorem(X10) | ~is_a_theorem(implies(X10,X9))).
% 0.13/0.38 cnf(a3, assumption,
% 0.13/0.38 X8 = X9).
% 0.13/0.38 cnf(c12, plain,
% 0.13/0.38 ~is_a_theorem(implies(X8,X7)),
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])).
% 0.13/0.38 cnf(c13, plain,
% 0.13/0.38 ~is_a_theorem(X10) | ~is_a_theorem(implies(X10,X9)),
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])).
% 0.13/0.38
% 0.13/0.38 cnf(c14, axiom,
% 0.13/0.38 is_a_theorem(implies(implies(implies(implies(implies(X11,X12),implies(X13,falsehood)),X14),X15),implies(implies(X15,X11),implies(X13,X11))))).
% 0.13/0.38 cnf(a4, assumption,
% 0.13/0.38 X10 = implies(implies(implies(implies(implies(X11,X12),implies(X13,falsehood)),X14),X15),implies(implies(X15,X11),implies(X13,X11)))).
% 0.13/0.38 cnf(c15, plain,
% 0.13/0.38 ~is_a_theorem(implies(X10,X9)),
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])).
% 0.13/0.38 cnf(c16, plain,
% 0.13/0.38 $false,
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])).
% 0.13/0.38
% 0.13/0.38 cnf(c17, axiom,
% 0.13/0.38 is_a_theorem(implies(implies(implies(implies(implies(X16,X17),implies(X18,falsehood)),X19),X20),implies(implies(X20,X16),implies(X18,X16))))).
% 0.13/0.38 cnf(a5, assumption,
% 0.13/0.38 implies(X10,X9) = implies(implies(implies(implies(implies(X16,X17),implies(X18,falsehood)),X19),X20),implies(implies(X20,X16),implies(X18,X16)))).
% 0.13/0.38 cnf(c18, plain,
% 0.13/0.38 $false,
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a5])], [c15, c17])).
% 0.13/0.38 cnf(c19, plain,
% 0.13/0.38 $false,
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a5])], [c15, c17])).
% 0.13/0.38
% 0.13/0.38 cnf(c20, axiom,
% 0.13/0.38 is_a_theorem(X21) | ~is_a_theorem(X22) | ~is_a_theorem(implies(X22,X21))).
% 0.13/0.38 cnf(a6, assumption,
% 0.13/0.38 implies(X8,X7) = X21).
% 0.13/0.38 cnf(c21, plain,
% 0.13/0.38 $false,
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a6])], [c12, c20])).
% 0.13/0.38 cnf(c22, plain,
% 0.13/0.38 ~is_a_theorem(X22) | ~is_a_theorem(implies(X22,X21)),
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a6])], [c12, c20])).
% 0.13/0.38
% 0.13/0.38 cnf(c23, plain,
% 0.13/0.38 is_a_theorem(X8)).
% 0.13/0.38 cnf(a7, assumption,
% 0.13/0.38 X22 = X8).
% 0.13/0.38 cnf(c24, plain,
% 0.13/0.38 ~is_a_theorem(implies(X22,X21)),
% 0.13/0.38 inference(predicate_reduction, [assumptions([a7])], [c22, c23])).
% 0.13/0.38
% 0.13/0.38 cnf(c25, axiom,
% 0.13/0.38 is_a_theorem(X23) | ~is_a_theorem(X24) | ~is_a_theorem(implies(X24,X23))).
% 0.13/0.38 cnf(a8, assumption,
% 0.13/0.38 implies(X22,X21) = X23).
% 0.13/0.38 cnf(c26, plain,
% 0.13/0.38 $false,
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a8])], [c24, c25])).
% 0.13/0.38 cnf(c27, plain,
% 0.13/0.38 ~is_a_theorem(X24) | ~is_a_theorem(implies(X24,X23)),
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a8])], [c24, c25])).
% 0.13/0.38
% 0.13/0.38 cnf(c28, axiom,
% 0.13/0.38 is_a_theorem(X25) | ~is_a_theorem(X26) | ~is_a_theorem(implies(X26,X25))).
% 0.13/0.38 cnf(a9, assumption,
% 0.13/0.38 X24 = X25).
% 0.13/0.38 cnf(c29, plain,
% 0.13/0.38 ~is_a_theorem(implies(X24,X23)),
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a9])], [c27, c28])).
% 0.13/0.38 cnf(c30, plain,
% 0.13/0.38 ~is_a_theorem(X26) | ~is_a_theorem(implies(X26,X25)),
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a9])], [c27, c28])).
% 0.13/0.38
% 0.13/0.38 cnf(c31, axiom,
% 0.13/0.38 is_a_theorem(implies(implies(implies(implies(implies(X27,X28),implies(X29,falsehood)),X30),X31),implies(implies(X31,X27),implies(X29,X27))))).
% 0.13/0.38 cnf(a10, assumption,
% 0.13/0.38 X26 = implies(implies(implies(implies(implies(X27,X28),implies(X29,falsehood)),X30),X31),implies(implies(X31,X27),implies(X29,X27)))).
% 0.13/0.38 cnf(c32, plain,
% 0.13/0.38 ~is_a_theorem(implies(X26,X25)),
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a10])], [c30, c31])).
% 0.13/0.38 cnf(c33, plain,
% 0.13/0.38 $false,
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a10])], [c30, c31])).
% 0.13/0.38
% 0.13/0.38 cnf(c34, axiom,
% 0.13/0.38 is_a_theorem(implies(implies(implies(implies(implies(X32,X33),implies(X34,falsehood)),X35),X36),implies(implies(X36,X32),implies(X34,X32))))).
% 0.13/0.38 cnf(a11, assumption,
% 0.13/0.38 implies(X26,X25) = implies(implies(implies(implies(implies(X32,X33),implies(X34,falsehood)),X35),X36),implies(implies(X36,X32),implies(X34,X32)))).
% 0.13/0.38 cnf(c35, plain,
% 0.13/0.38 $false,
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a11])], [c32, c34])).
% 0.13/0.38 cnf(c36, plain,
% 0.13/0.38 $false,
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a11])], [c32, c34])).
% 0.13/0.38
% 0.13/0.38 cnf(c37, axiom,
% 0.13/0.38 is_a_theorem(implies(implies(implies(implies(implies(X37,X38),implies(X39,falsehood)),X40),X41),implies(implies(X41,X37),implies(X39,X37))))).
% 0.13/0.38 cnf(a12, assumption,
% 0.13/0.38 implies(X24,X23) = implies(implies(implies(implies(implies(X37,X38),implies(X39,falsehood)),X40),X41),implies(implies(X41,X37),implies(X39,X37)))).
% 0.13/0.38 cnf(c38, plain,
% 0.13/0.38 $false,
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a12])], [c29, c37])).
% 0.13/0.38 cnf(c39, plain,
% 0.13/0.38 $false,
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a12])], [c29, c37])).
% 0.13/0.38
% 0.13/0.38 cnf(c40, plain,
% 0.13/0.38 $false,
% 0.13/0.38 inference(constraint_solving, [
% 0.13/0.38 bind(X0, implies(falsehood,a)),
% 0.13/0.38 bind(X1, implies(implies(implies(implies(implies(X2,X3),implies(X4,falsehood)),X5),X6),implies(implies(X6,X2),implies(X4,X2)))),
% 0.13/0.38 bind(X2, X2),
% 0.13/0.38 bind(X3, X3),
% 0.13/0.38 bind(X4, X4),
% 0.13/0.38 bind(X5, X5),
% 0.13/0.38 bind(X6, X6),
% 0.13/0.38 bind(X7, implies(X1,X0)),
% 0.13/0.38 bind(X8, implies(implies(X20,X16),implies(X18,X16))),
% 0.13/0.38 bind(X9, implies(implies(X20,X16),implies(X18,X16))),
% 0.13/0.38 bind(X10, implies(implies(implies(implies(implies(X11,X12),implies(X13,falsehood)),X14),X15),implies(implies(X15,X11),implies(X13,X11)))),
% 0.13/0.38 bind(X11, falsehood),
% 0.13/0.38 bind(X12, a),
% 0.13/0.38 bind(X13, X13),
% 0.13/0.38 bind(X14, implies(X18,falsehood)),
% 0.13/0.38 bind(X15, X19),
% 0.13/0.38 bind(X16, implies(X11,X12)),
% 0.13/0.38 bind(X17, implies(X13,falsehood)),
% 0.13/0.38 bind(X18, implies(implies(implies(implies(implies(X2,X3),implies(X4,falsehood)),X5),X6),implies(implies(X6,X2),implies(X4,X2)))),
% 0.13/0.38 bind(X19, X19),
% 0.13/0.38 bind(X20, implies(implies(X15,X11),implies(X13,X11))),
% 0.13/0.38 bind(X21, implies(X8,X7)),
% 0.13/0.38 bind(X22, implies(implies(X20,X16),implies(X18,X16))),
% 0.13/0.38 bind(X23, implies(X22,X21)),
% 0.13/0.38 bind(X24, implies(implies(X36,X32),implies(X34,X32))),
% 0.13/0.38 bind(X25, implies(implies(X36,X32),implies(X34,X32))),
% 0.13/0.38 bind(X26, implies(implies(implies(implies(implies(X27,X28),implies(X29,falsehood)),X30),X31),implies(implies(X31,X27),implies(X29,X27)))),
% 0.13/0.38 bind(X27, falsehood),
% 0.13/0.38 bind(X28, a),
% 0.13/0.38 bind(X29, implies(implies(X20,X16),implies(X18,X16))),
% 0.13/0.38 bind(X30, implies(X34,falsehood)),
% 0.13/0.38 bind(X31, implies(X18,X16)),
% 0.13/0.38 bind(X32, implies(X27,X28)),
% 0.13/0.38 bind(X33, implies(X29,falsehood)),
% 0.13/0.38 bind(X34, implies(implies(X15,X11),implies(X13,X11))),
% 0.13/0.38 bind(X35, implies(X18,X16)),
% 0.13/0.38 bind(X36, implies(implies(X31,X27),implies(X29,X27))),
% 0.13/0.38 bind(X37, implies(X18,X16)),
% 0.13/0.38 bind(X38, falsehood),
% 0.13/0.38 bind(X39, implies(implies(X20,X16),implies(X18,X16))),
% 0.13/0.38 bind(X40, implies(X27,X28)),
% 0.13/0.38 bind(X41, implies(X34,X32))
% 0.13/0.38 ],
% 0.13/0.38 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12])).
% 0.13/0.38
% 0.13/0.38 % SZS output end IncompleteProof
%------------------------------------------------------------------------------