TSTP Solution File: LCL082-1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : LCL082-1 : 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 : n011.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 12:06:44 EDT 2022
% Result : Unsatisfiable 0.19s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL082-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.33 % Computer : n011.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 : Sun Jul 3 17:39:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 % SZS status Unsatisfiable
% 0.19/0.45 % SZS output begin IncompleteProof
% 0.19/0.45 cnf(c0, axiom,
% 0.19/0.45 ~is_a_theorem(implies(a,implies(b,a)))).
% 0.19/0.45 cnf(c1, plain,
% 0.19/0.45 ~is_a_theorem(implies(a,implies(b,a))),
% 0.19/0.45 inference(start, [], [c0])).
% 0.19/0.45
% 0.19/0.45 cnf(c2, axiom,
% 0.19/0.45 is_a_theorem(X0) | ~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0))).
% 0.19/0.45 cnf(a0, assumption,
% 0.19/0.45 implies(a,implies(b,a)) = X0).
% 0.19/0.45 cnf(c3, plain,
% 0.19/0.45 $false,
% 0.19/0.45 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 0.19/0.45 cnf(c4, plain,
% 0.19/0.45 ~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0)),
% 0.19/0.45 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 0.19/0.45
% 0.19/0.45 cnf(c5, axiom,
% 0.19/0.45 is_a_theorem(X2) | ~is_a_theorem(X3) | ~is_a_theorem(implies(X3,X2))).
% 0.19/0.45 cnf(a1, assumption,
% 0.19/0.45 X1 = X2).
% 0.19/0.45 cnf(c6, plain,
% 0.19/0.45 ~is_a_theorem(implies(X1,X0)),
% 0.19/0.45 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 0.19/0.45 cnf(c7, plain,
% 0.19/0.45 ~is_a_theorem(X3) | ~is_a_theorem(implies(X3,X2)),
% 0.19/0.45 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 0.19/0.45
% 0.19/0.45 cnf(c8, axiom,
% 0.19/0.45 is_a_theorem(implies(implies(implies(X4,X5),X6),implies(implies(X6,X4),implies(X7,X4))))).
% 0.19/0.45 cnf(a2, assumption,
% 0.19/0.45 X3 = implies(implies(implies(X4,X5),X6),implies(implies(X6,X4),implies(X7,X4)))).
% 0.19/0.45 cnf(c9, plain,
% 0.19/0.45 ~is_a_theorem(implies(X3,X2)),
% 0.19/0.45 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])).
% 0.19/0.45 cnf(c10, plain,
% 0.19/0.45 $false,
% 0.19/0.45 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])).
% 0.19/0.45
% 0.19/0.45 cnf(c11, axiom,
% 0.19/0.45 is_a_theorem(X8) | ~is_a_theorem(X9) | ~is_a_theorem(implies(X9,X8))).
% 0.19/0.45 cnf(a3, assumption,
% 0.19/0.45 implies(X3,X2) = X8).
% 0.19/0.45 cnf(c12, plain,
% 0.19/0.45 $false,
% 0.19/0.45 inference(strict_predicate_extension, [assumptions([a3])], [c9, c11])).
% 0.19/0.45 cnf(c13, plain,
% 0.19/0.45 ~is_a_theorem(X9) | ~is_a_theorem(implies(X9,X8)),
% 0.19/0.45 inference(strict_predicate_extension, [assumptions([a3])], [c9, c11])).
% 0.19/0.45
% 0.19/0.45 cnf(c14, axiom,
% 0.19/0.45 is_a_theorem(implies(implies(implies(X10,X11),X12),implies(implies(X12,X10),implies(X13,X10))))).
% 0.19/0.45 cnf(a4, assumption,
% 0.19/0.45 X9 = implies(implies(implies(X10,X11),X12),implies(implies(X12,X10),implies(X13,X10)))).
% 0.19/0.45 cnf(c15, plain,
% 0.19/0.45 ~is_a_theorem(implies(X9,X8)),
% 0.19/0.45 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])).
% 0.19/0.45 cnf(c16, plain,
% 0.19/0.45 $false,
% 0.19/0.45 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])).
% 0.19/0.45
% 0.19/0.45 cnf(c17, axiom,
% 0.19/0.45 is_a_theorem(X14) | ~is_a_theorem(X15) | ~is_a_theorem(implies(X15,X14))).
% 0.19/0.45 cnf(a5, assumption,
% 0.19/0.45 implies(X9,X8) = X14).
% 0.19/0.45 cnf(c18, plain,
% 0.19/0.45 $false,
% 0.19/0.45 inference(strict_predicate_extension, [assumptions([a5])], [c15, c17])).
% 0.19/0.45 cnf(c19, plain,
% 0.19/0.45 ~is_a_theorem(X15) | ~is_a_theorem(implies(X15,X14)),
% 0.19/0.45 inference(strict_predicate_extension, [assumptions([a5])], [c15, c17])).
% 0.19/0.45
% 0.19/0.45 cnf(c20, axiom,
% 0.19/0.45 is_a_theorem(X16) | ~is_a_theorem(X17) | ~is_a_theorem(implies(X17,X16))).
% 0.19/0.45 cnf(a6, assumption,
% 0.19/0.45 X15 = X16).
% 0.19/0.45 cnf(c21, plain,
% 0.19/0.45 ~is_a_theorem(implies(X15,X14)),
% 0.19/0.45 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])).
% 0.19/0.45 cnf(c22, plain,
% 0.19/0.45 ~is_a_theorem(X17) | ~is_a_theorem(implies(X17,X16)),
% 0.19/0.45 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])).
% 0.19/0.45
% 0.19/0.45 cnf(c23, axiom,
% 0.19/0.45 is_a_theorem(implies(implies(implies(X18,X19),X20),implies(implies(X20,X18),implies(X21,X18))))).
% 0.19/0.45 cnf(a7, assumption,
% 0.19/0.45 X17 = implies(implies(implies(X18,X19),X20),implies(implies(X20,X18),implies(X21,X18)))).
% 0.19/0.45 cnf(c24, plain,
% 0.19/0.45 ~is_a_theorem(implies(X17,X16)),
% 0.19/0.45 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])).
% 0.19/0.45 cnf(c25, plain,
% 0.19/0.45 $false,
% 0.19/0.45 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])).
% 0.19/0.45
% 0.19/0.45 cnf(c26, axiom,
% 0.19/0.45 is_a_theorem(implies(implies(implies(X22,X23),X24),implies(implies(X24,X22),implies(X25,X22))))).
% 0.19/0.45 cnf(a8, assumption,
% 0.19/0.45 implies(X17,X16) = implies(implies(implies(X22,X23),X24),implies(implies(X24,X22),implies(X25,X22)))).
% 0.19/0.45 cnf(c27, plain,
% 0.19/0.45 $false,
% 0.19/0.45 inference(strict_predicate_extension, [assumptions([a8])], [c24, c26])).
% 0.19/0.45 cnf(c28, plain,
% 0.19/0.45 $false,
% 0.19/0.45 inference(strict_predicate_extension, [assumptions([a8])], [c24, c26])).
% 0.19/0.45
% 0.19/0.45 cnf(c29, axiom,
% 0.19/0.45 is_a_theorem(implies(implies(implies(X26,X27),X28),implies(implies(X28,X26),implies(X29,X26))))).
% 0.19/0.45 cnf(a9, assumption,
% 0.19/0.45 implies(X15,X14) = implies(implies(implies(X26,X27),X28),implies(implies(X28,X26),implies(X29,X26)))).
% 0.19/0.45 cnf(c30, plain,
% 0.19/0.45 $false,
% 0.19/0.45 inference(strict_predicate_extension, [assumptions([a9])], [c21, c29])).
% 0.19/0.45 cnf(c31, plain,
% 0.19/0.45 $false,
% 0.19/0.45 inference(strict_predicate_extension, [assumptions([a9])], [c21, c29])).
% 0.19/0.45
% 0.19/0.45 cnf(c32, axiom,
% 0.19/0.45 is_a_theorem(X30) | ~is_a_theorem(X31) | ~is_a_theorem(implies(X31,X30))).
% 0.19/0.45 cnf(a10, assumption,
% 0.19/0.45 implies(X1,X0) = X30).
% 0.19/0.45 cnf(c33, plain,
% 0.19/0.45 $false,
% 0.19/0.45 inference(strict_predicate_extension, [assumptions([a10])], [c6, c32])).
% 0.19/0.45 cnf(c34, plain,
% 0.19/0.45 ~is_a_theorem(X31) | ~is_a_theorem(implies(X31,X30)),
% 0.19/0.45 inference(strict_predicate_extension, [assumptions([a10])], [c6, c32])).
% 0.19/0.45
% 0.19/0.45 cnf(c35, plain,
% 0.19/0.45 is_a_theorem(X1)).
% 0.19/0.45 cnf(a11, assumption,
% 0.19/0.45 X31 = X1).
% 0.19/0.45 cnf(c36, plain,
% 0.19/0.45 ~is_a_theorem(implies(X31,X30)),
% 0.19/0.45 inference(predicate_reduction, [assumptions([a11])], [c34, c35])).
% 0.19/0.45
% 0.19/0.45 cnf(c37, axiom,
% 0.19/0.45 is_a_theorem(X32) | ~is_a_theorem(X33) | ~is_a_theorem(implies(X33,X32))).
% 0.19/0.45 cnf(a12, assumption,
% 0.19/0.45 implies(X31,X30) = X32).
% 0.19/0.45 cnf(c38, plain,
% 0.19/0.45 $false,
% 0.19/0.45 inference(strict_predicate_extension, [assumptions([a12])], [c36, c37])).
% 0.19/0.45 cnf(c39, plain,
% 0.19/0.45 ~is_a_theorem(X33) | ~is_a_theorem(implies(X33,X32)),
% 0.19/0.45 inference(strict_predicate_extension, [assumptions([a12])], [c36, c37])).
% 0.19/0.45
% 0.19/0.45 cnf(c40, plain,
% 0.19/0.45 is_a_theorem(X3)).
% 0.19/0.45 cnf(a13, assumption,
% 0.19/0.45 X33 = X3).
% 0.19/0.45 cnf(c41, plain,
% 0.19/0.45 ~is_a_theorem(implies(X33,X32)),
% 0.19/0.45 inference(predicate_reduction, [assumptions([a13])], [c39, c40])).
% 0.19/0.45
% 0.19/0.45 cnf(c42, axiom,
% 0.19/0.45 is_a_theorem(implies(implies(implies(X34,X35),X36),implies(implies(X36,X34),implies(X37,X34))))).
% 0.19/0.45 cnf(a14, assumption,
% 0.19/0.45 implies(X33,X32) = implies(implies(implies(X34,X35),X36),implies(implies(X36,X34),implies(X37,X34)))).
% 0.19/0.45 cnf(c43, plain,
% 0.19/0.45 $false,
% 0.19/0.45 inference(strict_predicate_extension, [assumptions([a14])], [c41, c42])).
% 0.19/0.45 cnf(c44, plain,
% 0.19/0.45 $false,
% 0.19/0.45 inference(strict_predicate_extension, [assumptions([a14])], [c41, c42])).
% 0.19/0.45
% 0.19/0.45 cnf(c45, plain,
% 0.19/0.45 $false,
% 0.19/0.45 inference(constraint_solving, [
% 0.19/0.45 bind(X0, implies(a,implies(b,a))),
% 0.19/0.45 bind(X1, implies(implies(X20,X18),implies(X21,X18))),
% 0.19/0.45 bind(X2, implies(implies(X20,X18),implies(X21,X18))),
% 0.19/0.45 bind(X3, implies(implies(implies(X4,X5),X6),implies(implies(X6,X4),implies(X7,X4)))),
% 0.19/0.45 bind(X4, a),
% 0.19/0.45 bind(X5, implies(X7,X4)),
% 0.19/0.45 bind(X6, implies(X7,X4)),
% 0.19/0.45 bind(X7, b),
% 0.19/0.45 bind(X8, implies(X3,X2)),
% 0.19/0.45 bind(X9, implies(implies(implies(X10,X11),X12),implies(implies(X12,X10),implies(X13,X10)))),
% 0.19/0.45 bind(X10, implies(X7,X4)),
% 0.19/0.45 bind(X11, X11),
% 0.19/0.45 bind(X12, implies(X18,X19)),
% 0.19/0.45 bind(X13, a),
% 0.19/0.45 bind(X14, implies(X9,X8)),
% 0.19/0.45 bind(X15, implies(implies(X24,X22),implies(X25,X22))),
% 0.19/0.45 bind(X16, implies(implies(X24,X22),implies(X25,X22))),
% 0.19/0.45 bind(X17, implies(implies(implies(X18,X19),X20),implies(implies(X20,X18),implies(X21,X18)))),
% 0.19/0.45 bind(X18, implies(X7,X4)),
% 0.19/0.45 bind(X19, a),
% 0.19/0.45 bind(X20, implies(X18,X19)),
% 0.19/0.45 bind(X21, a),
% 0.19/0.45 bind(X22, implies(X18,X19)),
% 0.19/0.45 bind(X23, implies(X18,X19)),
% 0.19/0.45 bind(X24, implies(implies(X20,X18),implies(X21,X18))),
% 0.19/0.45 bind(X25, implies(X10,X11)),
% 0.19/0.45 bind(X26, implies(implies(X20,X18),implies(X21,X18))),
% 0.19/0.45 bind(X27, implies(X18,X19)),
% 0.19/0.45 bind(X28, implies(X25,X22)),
% 0.19/0.45 bind(X29, implies(implies(implies(X4,X5),X6),implies(implies(X6,X4),implies(X7,X4)))),
% 0.19/0.45 bind(X30, implies(X1,X0)),
% 0.19/0.45 bind(X31, implies(implies(X20,X18),implies(X21,X18))),
% 0.19/0.45 bind(X32, implies(X31,X30)),
% 0.19/0.45 bind(X33, implies(implies(implies(X4,X5),X6),implies(implies(X6,X4),implies(X7,X4)))),
% 0.19/0.45 bind(X34, implies(X4,X5)),
% 0.19/0.45 bind(X35, implies(X7,X4)),
% 0.19/0.45 bind(X36, implies(implies(X6,X4),implies(X7,X4))),
% 0.19/0.45 bind(X37, implies(implies(X20,X18),implies(X21,X18)))
% 0.19/0.45 ],
% 0.19/0.45 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14])).
% 0.19/0.45
% 0.19/0.45 % SZS output end IncompleteProof
%------------------------------------------------------------------------------