TSTP Solution File: LCL076-3 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : LCL076-3 : 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 : n018.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 12:06:42 EDT 2022
% Result : Unsatisfiable 6.06s 1.09s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL076-3 : 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
% 0.14/0.34 % Computer : n018.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 : Sun Jul 3 02:07:19 EDT 2022
% 0.14/0.34 % CPUTime :
% 6.06/1.09 % SZS status Unsatisfiable
% 6.06/1.09 % SZS output begin IncompleteProof
% 6.06/1.09 cnf(c0, axiom,
% 6.06/1.09 ~is_a_theorem(implies(a,not(not(a))))).
% 6.06/1.09 cnf(c1, plain,
% 6.06/1.09 ~is_a_theorem(implies(a,not(not(a)))),
% 6.06/1.09 inference(start, [], [c0])).
% 6.06/1.09
% 6.06/1.09 cnf(c2, axiom,
% 6.06/1.09 is_a_theorem(X0) | ~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0))).
% 6.06/1.09 cnf(a0, assumption,
% 6.06/1.09 implies(a,not(not(a))) = X0).
% 6.06/1.09 cnf(c3, plain,
% 6.06/1.09 $false,
% 6.06/1.09 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 6.06/1.09 cnf(c4, plain,
% 6.06/1.09 ~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0)),
% 6.06/1.09 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 6.06/1.09
% 6.06/1.09 cnf(c5, axiom,
% 6.06/1.09 is_a_theorem(implies(X2,implies(X3,X2)))).
% 6.06/1.09 cnf(a1, assumption,
% 6.06/1.09 X1 = implies(X2,implies(X3,X2))).
% 6.06/1.09 cnf(c6, plain,
% 6.06/1.09 ~is_a_theorem(implies(X1,X0)),
% 6.06/1.09 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 6.06/1.09 cnf(c7, plain,
% 6.06/1.09 $false,
% 6.06/1.09 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 6.06/1.09
% 6.06/1.09 cnf(c8, axiom,
% 6.06/1.09 is_a_theorem(implies(X4,X5)) | ~is_a_theorem(implies(X6,X5)) | ~is_a_theorem(implies(X4,X6))).
% 6.06/1.09 cnf(a2, assumption,
% 6.06/1.09 implies(X1,X0) = implies(X4,X5)).
% 6.06/1.09 cnf(c9, plain,
% 6.06/1.09 $false,
% 6.06/1.09 inference(strict_predicate_extension, [assumptions([a2])], [c6, c8])).
% 6.06/1.09 cnf(c10, plain,
% 6.06/1.09 ~is_a_theorem(implies(X6,X5)) | ~is_a_theorem(implies(X4,X6)),
% 6.06/1.09 inference(strict_predicate_extension, [assumptions([a2])], [c6, c8])).
% 6.06/1.09
% 6.06/1.09 cnf(c11, axiom,
% 6.06/1.09 is_a_theorem(implies(implies(not(X7),not(X8)),implies(X8,X7)))).
% 6.06/1.09 cnf(a3, assumption,
% 6.06/1.09 implies(X6,X5) = implies(implies(not(X7),not(X8)),implies(X8,X7))).
% 6.06/1.09 cnf(c12, plain,
% 6.06/1.09 ~is_a_theorem(implies(X4,X6)),
% 6.06/1.09 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])).
% 6.06/1.09 cnf(c13, plain,
% 6.06/1.09 $false,
% 6.06/1.09 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])).
% 6.06/1.09
% 6.06/1.09 cnf(c14, axiom,
% 6.06/1.09 is_a_theorem(X9) | ~is_a_theorem(X10) | ~is_a_theorem(implies(X10,X9))).
% 6.06/1.09 cnf(a4, assumption,
% 6.06/1.09 implies(X4,X6) = X9).
% 6.06/1.09 cnf(c15, plain,
% 6.06/1.09 $false,
% 6.06/1.09 inference(strict_predicate_extension, [assumptions([a4])], [c12, c14])).
% 6.06/1.09 cnf(c16, plain,
% 6.06/1.09 ~is_a_theorem(X10) | ~is_a_theorem(implies(X10,X9)),
% 6.06/1.09 inference(strict_predicate_extension, [assumptions([a4])], [c12, c14])).
% 6.06/1.09
% 6.06/1.09 cnf(c17, axiom,
% 6.06/1.09 is_a_theorem(implies(X11,X12)) | ~is_a_theorem(implies(X13,X12)) | ~is_a_theorem(implies(X11,X13))).
% 6.06/1.09 cnf(a5, assumption,
% 6.06/1.09 X10 = implies(X11,X12)).
% 6.06/1.09 cnf(c18, plain,
% 6.06/1.09 ~is_a_theorem(implies(X10,X9)),
% 6.06/1.09 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])).
% 6.06/1.09 cnf(c19, plain,
% 6.06/1.09 ~is_a_theorem(implies(X13,X12)) | ~is_a_theorem(implies(X11,X13)),
% 6.06/1.09 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])).
% 6.06/1.09
% 6.06/1.09 cnf(c20, axiom,
% 6.06/1.09 is_a_theorem(implies(implies(not(X14),not(X15)),implies(X15,X14)))).
% 6.06/1.09 cnf(a6, assumption,
% 6.06/1.09 implies(X13,X12) = implies(implies(not(X14),not(X15)),implies(X15,X14))).
% 6.06/1.09 cnf(c21, plain,
% 6.06/1.09 ~is_a_theorem(implies(X11,X13)),
% 6.06/1.09 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])).
% 6.06/1.09 cnf(c22, plain,
% 6.06/1.09 $false,
% 6.06/1.09 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])).
% 6.06/1.09
% 6.06/1.09 cnf(c23, axiom,
% 6.06/1.09 is_a_theorem(implies(X16,X17)) | ~is_a_theorem(implies(X18,X17)) | ~is_a_theorem(implies(X16,X18))).
% 6.06/1.09 cnf(a7, assumption,
% 6.06/1.09 implies(X11,X13) = implies(X16,X17)).
% 6.06/1.09 cnf(c24, plain,
% 6.06/1.09 $false,
% 6.06/1.09 inference(strict_predicate_extension, [assumptions([a7])], [c21, c23])).
% 6.06/1.09 cnf(c25, plain,
% 6.06/1.09 ~is_a_theorem(implies(X18,X17)) | ~is_a_theorem(implies(X16,X18)),
% 6.06/1.09 inference(strict_predicate_extension, [assumptions([a7])], [c21, c23])).
% 6.06/1.09
% 6.06/1.09 cnf(c26, axiom,
% 6.06/1.09 is_a_theorem(implies(implies(not(X19),not(X20)),implies(X20,X19)))).
% 6.06/1.09 cnf(a8, assumption,
% 6.06/1.09 implies(X18,X17) = implies(implies(not(X19),not(X20)),implies(X20,X19))).
% 6.06/1.09 cnf(c27, plain,
% 6.06/1.09 ~is_a_theorem(implies(X16,X18)),
% 6.06/1.09 inference(strict_predicate_extension, [assumptions([a8])], [c25, c26])).
% 6.06/1.09 cnf(c28, plain,
% 6.06/1.09 $false,
% 6.06/1.09 inference(strict_predicate_extension, [assumptions([a8])], [c25, c26])).
% 6.06/1.09
% 6.06/1.09 cnf(c29, axiom,
% 6.06/1.09 is_a_theorem(implies(X21,implies(X22,X21)))).
% 6.06/1.09 cnf(a9, assumption,
% 6.06/1.09 implies(X16,X18) = implies(X21,implies(X22,X21))).
% 6.06/1.09 cnf(c30, plain,
% 6.06/1.09 $false,
% 6.06/1.09 inference(strict_predicate_extension, [assumptions([a9])], [c27, c29])).
% 6.06/1.09 cnf(c31, plain,
% 6.06/1.09 $false,
% 6.06/1.09 inference(strict_predicate_extension, [assumptions([a9])], [c27, c29])).
% 6.06/1.09
% 6.06/1.09 cnf(c32, axiom,
% 6.06/1.09 is_a_theorem(implies(implies(X23,implies(X24,X25)),implies(implies(X23,X24),implies(X23,X25))))).
% 6.06/1.09 cnf(a10, assumption,
% 6.06/1.09 implies(X10,X9) = implies(implies(X23,implies(X24,X25)),implies(implies(X23,X24),implies(X23,X25)))).
% 6.06/1.09 cnf(c33, plain,
% 6.06/1.09 $false,
% 6.06/1.09 inference(strict_predicate_extension, [assumptions([a10])], [c18, c32])).
% 6.06/1.09 cnf(c34, plain,
% 6.06/1.09 $false,
% 6.06/1.09 inference(strict_predicate_extension, [assumptions([a10])], [c18, c32])).
% 6.06/1.09
% 6.06/1.09 cnf(c35, plain,
% 6.06/1.09 $false,
% 6.06/1.09 inference(constraint_solving, [
% 6.06/1.09 bind(X0, implies(a,not(not(a)))),
% 6.06/1.09 bind(X1, implies(X2,implies(X3,X2))),
% 6.06/1.09 bind(X2, not(X20)),
% 6.06/1.09 bind(X3, X3),
% 6.06/1.09 bind(X4, implies(X2,implies(X3,X2))),
% 6.06/1.09 bind(X5, implies(a,not(not(a)))),
% 6.06/1.09 bind(X6, implies(not(X7),not(X8))),
% 6.06/1.09 bind(X7, not(not(a))),
% 6.06/1.09 bind(X8, a),
% 6.06/1.09 bind(X9, implies(X4,X6)),
% 6.06/1.09 bind(X10, implies(X11,X12)),
% 6.06/1.09 bind(X11, not(X20)),
% 6.06/1.09 bind(X12, implies(X15,X14)),
% 6.06/1.09 bind(X13, implies(not(X14),not(X15))),
% 6.06/1.09 bind(X14, not(a)),
% 6.06/1.09 bind(X15, implies(X3,X2)),
% 6.06/1.09 bind(X16, not(X20)),
% 6.06/1.09 bind(X17, implies(not(X14),not(X15))),
% 6.06/1.09 bind(X18, implies(not(X19),not(X20))),
% 6.06/1.09 bind(X19, not(X15)),
% 6.06/1.09 bind(X20, not(X14)),
% 6.06/1.09 bind(X21, not(X20)),
% 6.06/1.09 bind(X22, not(X19)),
% 6.06/1.09 bind(X23, not(X20)),
% 6.06/1.09 bind(X24, implies(X3,X2)),
% 6.06/1.09 bind(X25, not(a))
% 6.06/1.09 ],
% 6.06/1.09 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10])).
% 6.06/1.09
% 6.06/1.09 % SZS output end IncompleteProof
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