TSTP Solution File: LCL111-1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : LCL111-1 : 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 : n017.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 12:06:56 EDT 2022
% Result : Unsatisfiable 1.69s 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL111-1 : 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
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jul 4 13:47:57 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.69/0.53 % SZS status Unsatisfiable
% 1.69/0.53 % SZS output begin IncompleteProof
% 1.69/0.53 cnf(c0, axiom,
% 1.69/0.53 ~is_a_theorem(implies(implies(a,b),implies(implies(c,a),implies(c,b))))).
% 1.69/0.53 cnf(c1, plain,
% 1.69/0.53 ~is_a_theorem(implies(implies(a,b),implies(implies(c,a),implies(c,b)))),
% 1.69/0.53 inference(start, [], [c0])).
% 1.69/0.53
% 1.69/0.53 cnf(c2, axiom,
% 1.69/0.53 is_a_theorem(X0) | ~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0))).
% 1.69/0.53 cnf(a0, assumption,
% 1.69/0.53 implies(implies(a,b),implies(implies(c,a),implies(c,b))) = X0).
% 1.69/0.53 cnf(c3, plain,
% 1.69/0.53 $false,
% 1.69/0.53 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 1.69/0.53 cnf(c4, plain,
% 1.69/0.53 ~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0)),
% 1.69/0.53 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 1.69/0.53
% 1.69/0.53 cnf(c5, axiom,
% 1.69/0.53 is_a_theorem(X2) | ~is_a_theorem(X3) | ~is_a_theorem(implies(X3,X2))).
% 1.69/0.53 cnf(a1, assumption,
% 1.69/0.53 X1 = X2).
% 1.69/0.53 cnf(c6, plain,
% 1.69/0.53 ~is_a_theorem(implies(X1,X0)),
% 1.69/0.53 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 1.69/0.53 cnf(c7, plain,
% 1.69/0.53 ~is_a_theorem(X3) | ~is_a_theorem(implies(X3,X2)),
% 1.69/0.53 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 1.69/0.53
% 1.69/0.53 cnf(c8, axiom,
% 1.69/0.53 is_a_theorem(X4) | ~is_a_theorem(X5) | ~is_a_theorem(implies(X5,X4))).
% 1.69/0.53 cnf(a2, assumption,
% 1.69/0.53 X3 = X4).
% 1.69/0.53 cnf(c9, plain,
% 1.69/0.53 ~is_a_theorem(implies(X3,X2)),
% 1.69/0.53 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])).
% 1.69/0.53 cnf(c10, plain,
% 1.69/0.53 ~is_a_theorem(X5) | ~is_a_theorem(implies(X5,X4)),
% 1.69/0.53 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])).
% 1.69/0.53
% 1.69/0.53 cnf(c11, axiom,
% 1.69/0.53 is_a_theorem(implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8))))).
% 1.69/0.53 cnf(a3, assumption,
% 1.69/0.53 X5 = implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8)))).
% 1.69/0.53 cnf(c12, plain,
% 1.69/0.53 ~is_a_theorem(implies(X5,X4)),
% 1.69/0.53 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])).
% 1.69/0.53 cnf(c13, plain,
% 1.69/0.53 $false,
% 1.69/0.53 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])).
% 1.69/0.53
% 1.69/0.53 cnf(c14, axiom,
% 1.69/0.53 is_a_theorem(implies(implies(X9,X10),implies(implies(X10,X11),implies(X9,X11))))).
% 1.69/0.53 cnf(a4, assumption,
% 1.69/0.53 implies(X5,X4) = implies(implies(X9,X10),implies(implies(X10,X11),implies(X9,X11)))).
% 1.69/0.53 cnf(c15, plain,
% 1.69/0.53 $false,
% 1.69/0.53 inference(strict_predicate_extension, [assumptions([a4])], [c12, c14])).
% 1.69/0.53 cnf(c16, plain,
% 1.69/0.53 $false,
% 1.69/0.53 inference(strict_predicate_extension, [assumptions([a4])], [c12, c14])).
% 1.69/0.53
% 1.69/0.53 cnf(c17, axiom,
% 1.69/0.53 is_a_theorem(X12) | ~is_a_theorem(X13) | ~is_a_theorem(implies(X13,X12))).
% 1.69/0.53 cnf(a5, assumption,
% 1.69/0.53 implies(X3,X2) = X12).
% 1.69/0.53 cnf(c18, plain,
% 1.69/0.53 $false,
% 1.69/0.53 inference(strict_predicate_extension, [assumptions([a5])], [c9, c17])).
% 1.69/0.53 cnf(c19, plain,
% 1.69/0.53 ~is_a_theorem(X13) | ~is_a_theorem(implies(X13,X12)),
% 1.69/0.53 inference(strict_predicate_extension, [assumptions([a5])], [c9, c17])).
% 1.69/0.53
% 1.69/0.53 cnf(c20, axiom,
% 1.69/0.53 is_a_theorem(implies(implies(implies(X14,X15),X15),implies(implies(X15,X14),X14)))).
% 1.69/0.53 cnf(a6, assumption,
% 1.69/0.53 X13 = implies(implies(implies(X14,X15),X15),implies(implies(X15,X14),X14))).
% 1.69/0.53 cnf(c21, plain,
% 1.69/0.53 ~is_a_theorem(implies(X13,X12)),
% 1.69/0.53 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])).
% 1.69/0.53 cnf(c22, plain,
% 1.69/0.53 $false,
% 1.69/0.53 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])).
% 1.69/0.53
% 1.69/0.53 cnf(c23, axiom,
% 1.69/0.53 is_a_theorem(implies(implies(X16,X17),implies(implies(X17,X18),implies(X16,X18))))).
% 1.69/0.53 cnf(a7, assumption,
% 1.69/0.53 implies(X13,X12) = implies(implies(X16,X17),implies(implies(X17,X18),implies(X16,X18)))).
% 1.69/0.53 cnf(c24, plain,
% 1.69/0.53 $false,
% 1.69/0.53 inference(strict_predicate_extension, [assumptions([a7])], [c21, c23])).
% 1.69/0.53 cnf(c25, plain,
% 1.69/0.53 $false,
% 1.69/0.53 inference(strict_predicate_extension, [assumptions([a7])], [c21, c23])).
% 1.69/0.53
% 1.69/0.53 cnf(c26, axiom,
% 1.69/0.53 is_a_theorem(X19) | ~is_a_theorem(X20) | ~is_a_theorem(implies(X20,X19))).
% 1.69/0.53 cnf(a8, assumption,
% 1.69/0.53 implies(X1,X0) = X19).
% 1.69/0.53 cnf(c27, plain,
% 1.69/0.53 $false,
% 1.69/0.53 inference(strict_predicate_extension, [assumptions([a8])], [c6, c26])).
% 1.69/0.53 cnf(c28, plain,
% 1.69/0.53 ~is_a_theorem(X20) | ~is_a_theorem(implies(X20,X19)),
% 1.69/0.53 inference(strict_predicate_extension, [assumptions([a8])], [c6, c26])).
% 1.69/0.53
% 1.69/0.53 cnf(c29, axiom,
% 1.69/0.53 is_a_theorem(implies(X21,implies(X22,X21)))).
% 1.69/0.53 cnf(a9, assumption,
% 1.69/0.53 X20 = implies(X21,implies(X22,X21))).
% 1.69/0.53 cnf(c30, plain,
% 1.69/0.53 ~is_a_theorem(implies(X20,X19)),
% 1.69/0.53 inference(strict_predicate_extension, [assumptions([a9])], [c28, c29])).
% 1.69/0.53 cnf(c31, plain,
% 1.69/0.53 $false,
% 1.69/0.53 inference(strict_predicate_extension, [assumptions([a9])], [c28, c29])).
% 1.69/0.53
% 1.69/0.53 cnf(c32, axiom,
% 1.69/0.53 is_a_theorem(implies(implies(X23,X24),implies(implies(X24,X25),implies(X23,X25))))).
% 1.69/0.53 cnf(a10, assumption,
% 1.69/0.53 implies(X20,X19) = implies(implies(X23,X24),implies(implies(X24,X25),implies(X23,X25)))).
% 1.69/0.53 cnf(c33, plain,
% 1.69/0.53 $false,
% 1.69/0.53 inference(strict_predicate_extension, [assumptions([a10])], [c30, c32])).
% 1.69/0.53 cnf(c34, plain,
% 1.69/0.53 $false,
% 1.69/0.53 inference(strict_predicate_extension, [assumptions([a10])], [c30, c32])).
% 1.69/0.53
% 1.69/0.53 cnf(c35, plain,
% 1.69/0.53 $false,
% 1.69/0.53 inference(constraint_solving, [
% 1.69/0.53 bind(X0, implies(implies(a,b),implies(implies(c,a),implies(c,b)))),
% 1.69/0.53 bind(X1, implies(X16,X18)),
% 1.69/0.53 bind(X2, implies(X16,X18)),
% 1.69/0.53 bind(X3, implies(implies(X10,X11),implies(X9,X11))),
% 1.69/0.53 bind(X4, implies(implies(X10,X11),implies(X9,X11))),
% 1.69/0.53 bind(X5, implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8)))),
% 1.69/0.53 bind(X6, c),
% 1.69/0.53 bind(X7, a),
% 1.69/0.53 bind(X8, b),
% 1.69/0.53 bind(X9, implies(X6,X7)),
% 1.69/0.53 bind(X10, implies(implies(X7,X8),implies(X6,X8))),
% 1.69/0.53 bind(X11, implies(X6,X8)),
% 1.69/0.53 bind(X12, implies(X3,X2)),
% 1.69/0.53 bind(X13, implies(implies(implies(X14,X15),X15),implies(implies(X15,X14),X14))),
% 1.69/0.53 bind(X14, implies(X6,X8)),
% 1.69/0.53 bind(X15, implies(X7,X8)),
% 1.69/0.53 bind(X16, implies(implies(X14,X15),X15)),
% 1.69/0.53 bind(X17, implies(implies(X15,X14),X14)),
% 1.69/0.53 bind(X18, implies(X9,X11)),
% 1.69/0.53 bind(X19, implies(X1,X0)),
% 1.69/0.53 bind(X20, implies(X21,implies(X22,X21))),
% 1.69/0.53 bind(X21, implies(X7,X8)),
% 1.69/0.53 bind(X22, implies(X14,X15)),
% 1.69/0.53 bind(X23, implies(X7,X8)),
% 1.69/0.53 bind(X24, implies(X22,X21)),
% 1.69/0.53 bind(X25, implies(X9,X11))
% 1.69/0.53 ],
% 1.69/0.53 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10])).
% 1.69/0.53
% 1.69/0.53 % SZS output end IncompleteProof
%------------------------------------------------------------------------------