TSTP Solution File: LCL066-1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : LCL066-1 : 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 : n027.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 12:06:39 EDT 2022
% Result : Unsatisfiable 111.68s 14.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL066-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jul 2 14:05:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 111.68/14.40 % SZS status Unsatisfiable
% 111.68/14.40 % SZS output begin IncompleteProof
% 111.68/14.40 cnf(c0, axiom,
% 111.68/14.40 ~is_a_theorem(implies(a,implies(not(a),b)))).
% 111.68/14.40 cnf(c1, plain,
% 111.68/14.40 ~is_a_theorem(implies(a,implies(not(a),b))),
% 111.68/14.40 inference(start, [], [c0])).
% 111.68/14.40
% 111.68/14.40 cnf(c2, axiom,
% 111.68/14.40 is_a_theorem(X0) | ~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0))).
% 111.68/14.40 cnf(a0, assumption,
% 111.68/14.40 implies(a,implies(not(a),b)) = X0).
% 111.68/14.40 cnf(c3, plain,
% 111.68/14.40 $false,
% 111.68/14.40 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 111.68/14.40 cnf(c4, plain,
% 111.68/14.40 ~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0)),
% 111.68/14.40 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 111.68/14.40
% 111.68/14.40 cnf(c5, axiom,
% 111.68/14.40 is_a_theorem(implies(X2,implies(X3,X2)))).
% 111.68/14.40 cnf(a1, assumption,
% 111.68/14.40 X1 = implies(X2,implies(X3,X2))).
% 111.68/14.40 cnf(c6, plain,
% 111.68/14.40 ~is_a_theorem(implies(X1,X0)),
% 111.68/14.40 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 111.68/14.40 cnf(c7, plain,
% 111.68/14.40 $false,
% 111.68/14.40 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 111.68/14.40
% 111.68/14.40 cnf(c8, axiom,
% 111.68/14.40 is_a_theorem(X4) | ~is_a_theorem(X5) | ~is_a_theorem(implies(X5,X4))).
% 111.68/14.40 cnf(a2, assumption,
% 111.68/14.40 implies(X1,X0) = X4).
% 111.68/14.40 cnf(c9, plain,
% 111.68/14.40 $false,
% 111.68/14.40 inference(strict_predicate_extension, [assumptions([a2])], [c6, c8])).
% 111.68/14.40 cnf(c10, plain,
% 111.68/14.40 ~is_a_theorem(X5) | ~is_a_theorem(implies(X5,X4)),
% 111.68/14.40 inference(strict_predicate_extension, [assumptions([a2])], [c6, c8])).
% 111.68/14.40
% 111.68/14.40 cnf(c11, axiom,
% 111.68/14.40 is_a_theorem(X6) | ~is_a_theorem(X7) | ~is_a_theorem(implies(X7,X6))).
% 111.68/14.40 cnf(a3, assumption,
% 111.68/14.40 X5 = X6).
% 111.68/14.40 cnf(c12, plain,
% 111.68/14.40 ~is_a_theorem(implies(X5,X4)),
% 111.68/14.40 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])).
% 111.68/14.40 cnf(c13, plain,
% 111.68/14.40 ~is_a_theorem(X7) | ~is_a_theorem(implies(X7,X6)),
% 111.68/14.40 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])).
% 111.68/14.40
% 111.68/14.40 cnf(c14, axiom,
% 111.68/14.40 is_a_theorem(X8) | ~is_a_theorem(X9) | ~is_a_theorem(implies(X9,X8))).
% 111.68/14.40 cnf(a4, assumption,
% 111.68/14.40 X7 = X8).
% 111.68/14.40 cnf(c15, plain,
% 111.68/14.40 ~is_a_theorem(implies(X7,X6)),
% 111.68/14.40 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])).
% 111.68/14.40 cnf(c16, plain,
% 111.68/14.40 ~is_a_theorem(X9) | ~is_a_theorem(implies(X9,X8)),
% 111.68/14.40 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])).
% 111.68/14.40
% 111.68/14.40 cnf(c17, axiom,
% 111.68/14.40 is_a_theorem(X10) | ~is_a_theorem(X11) | ~is_a_theorem(implies(X11,X10))).
% 111.68/14.40 cnf(a5, assumption,
% 111.68/14.40 X9 = X10).
% 111.68/14.40 cnf(c18, plain,
% 111.68/14.40 ~is_a_theorem(implies(X9,X8)),
% 111.68/14.40 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])).
% 111.68/14.40 cnf(c19, plain,
% 111.68/14.40 ~is_a_theorem(X11) | ~is_a_theorem(implies(X11,X10)),
% 111.68/14.40 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])).
% 111.68/14.40
% 111.68/14.40 cnf(c20, axiom,
% 111.68/14.40 is_a_theorem(implies(X12,implies(X13,X12)))).
% 111.68/14.40 cnf(a6, assumption,
% 111.68/14.40 X11 = implies(X12,implies(X13,X12))).
% 111.68/14.40 cnf(c21, plain,
% 111.68/14.40 ~is_a_theorem(implies(X11,X10)),
% 111.68/14.40 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])).
% 111.68/14.40 cnf(c22, plain,
% 111.68/14.40 $false,
% 111.68/14.40 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])).
% 111.68/14.40
% 111.68/14.40 cnf(c23, axiom,
% 111.68/14.40 is_a_theorem(X14) | ~is_a_theorem(X15) | ~is_a_theorem(implies(X15,X14))).
% 111.68/14.40 cnf(a7, assumption,
% 111.68/14.40 implies(X11,X10) = X14).
% 111.68/14.40 cnf(c24, plain,
% 111.68/14.40 $false,
% 111.68/14.40 inference(strict_predicate_extension, [assumptions([a7])], [c21, c23])).
% 111.68/14.40 cnf(c25, plain,
% 111.68/14.40 ~is_a_theorem(X15) | ~is_a_theorem(implies(X15,X14)),
% 111.68/14.40 inference(strict_predicate_extension, [assumptions([a7])], [c21, c23])).
% 111.68/14.40
% 111.68/14.40 cnf(c26, axiom,
% 111.68/14.40 is_a_theorem(X16) | ~is_a_theorem(X17) | ~is_a_theorem(implies(X17,X16))).
% 111.68/14.40 cnf(a8, assumption,
% 111.68/14.40 X15 = X16).
% 111.68/14.40 cnf(c27, plain,
% 111.68/14.40 ~is_a_theorem(implies(X15,X14)),
% 111.68/14.40 inference(strict_predicate_extension, [assumptions([a8])], [c25, c26])).
% 111.68/14.40 cnf(c28, plain,
% 111.68/14.40 ~is_a_theorem(X17) | ~is_a_theorem(implies(X17,X16)),
% 111.68/14.40 inference(strict_predicate_extension, [assumptions([a8])], [c25, c26])).
% 111.68/14.40
% 111.68/14.40 cnf(c29, axiom,
% 111.68/14.40 is_a_theorem(implies(implies(not(X18),not(X19)),implies(X19,X18)))).
% 111.68/14.40 cnf(a9, assumption,
% 111.68/14.40 X17 = implies(implies(not(X18),not(X19)),implies(X19,X18))).
% 111.68/14.40 cnf(c30, plain,
% 111.68/14.40 ~is_a_theorem(implies(X17,X16)),
% 111.68/14.40 inference(strict_predicate_extension, [assumptions([a9])], [c28, c29])).
% 111.68/14.40 cnf(c31, plain,
% 111.68/14.40 $false,
% 111.68/14.40 inference(strict_predicate_extension, [assumptions([a9])], [c28, c29])).
% 111.68/14.40
% 111.68/14.40 cnf(c32, axiom,
% 111.68/14.40 is_a_theorem(implies(X20,implies(X21,X20)))).
% 111.68/14.40 cnf(a10, assumption,
% 111.68/14.40 implies(X17,X16) = implies(X20,implies(X21,X20))).
% 111.68/14.40 cnf(c33, plain,
% 111.68/14.40 $false,
% 111.68/14.40 inference(strict_predicate_extension, [assumptions([a10])], [c30, c32])).
% 111.68/14.40 cnf(c34, plain,
% 111.68/14.40 $false,
% 111.68/14.40 inference(strict_predicate_extension, [assumptions([a10])], [c30, c32])).
% 111.68/14.40
% 111.68/14.40 cnf(c35, axiom,
% 111.68/14.40 is_a_theorem(implies(implies(X22,implies(X23,X24)),implies(implies(X22,X23),implies(X22,X24))))).
% 111.68/14.40 cnf(a11, assumption,
% 111.68/14.40 implies(X15,X14) = implies(implies(X22,implies(X23,X24)),implies(implies(X22,X23),implies(X22,X24)))).
% 111.68/14.40 cnf(c36, plain,
% 111.68/14.40 $false,
% 111.68/14.40 inference(strict_predicate_extension, [assumptions([a11])], [c27, c35])).
% 111.68/14.40 cnf(c37, plain,
% 111.68/14.40 $false,
% 111.68/14.40 inference(strict_predicate_extension, [assumptions([a11])], [c27, c35])).
% 111.68/14.40
% 111.68/14.40 cnf(c38, axiom,
% 111.68/14.40 is_a_theorem(implies(implies(X25,implies(X26,X27)),implies(implies(X25,X26),implies(X25,X27))))).
% 111.68/14.40 cnf(a12, assumption,
% 111.68/14.40 implies(X9,X8) = implies(implies(X25,implies(X26,X27)),implies(implies(X25,X26),implies(X25,X27)))).
% 111.68/14.40 cnf(c39, plain,
% 111.68/14.40 $false,
% 111.68/14.40 inference(strict_predicate_extension, [assumptions([a12])], [c18, c38])).
% 111.68/14.40 cnf(c40, plain,
% 111.68/14.40 $false,
% 111.68/14.40 inference(strict_predicate_extension, [assumptions([a12])], [c18, c38])).
% 111.68/14.40
% 111.68/14.40 cnf(c41, axiom,
% 111.68/14.40 is_a_theorem(implies(X28,implies(X29,X28)))).
% 111.68/14.40 cnf(a13, assumption,
% 111.68/14.40 implies(X7,X6) = implies(X28,implies(X29,X28))).
% 111.68/14.40 cnf(c42, plain,
% 111.68/14.40 $false,
% 111.68/14.40 inference(strict_predicate_extension, [assumptions([a13])], [c15, c41])).
% 111.68/14.40 cnf(c43, plain,
% 111.68/14.40 $false,
% 111.68/14.40 inference(strict_predicate_extension, [assumptions([a13])], [c15, c41])).
% 111.68/14.40
% 111.68/14.40 cnf(c44, axiom,
% 111.68/14.40 is_a_theorem(implies(implies(X30,implies(X31,X32)),implies(implies(X30,X31),implies(X30,X32))))).
% 111.68/14.40 cnf(a14, assumption,
% 111.68/14.40 implies(X5,X4) = implies(implies(X30,implies(X31,X32)),implies(implies(X30,X31),implies(X30,X32)))).
% 111.68/14.40 cnf(c45, plain,
% 111.68/14.40 $false,
% 111.68/14.40 inference(strict_predicate_extension, [assumptions([a14])], [c12, c44])).
% 111.68/14.40 cnf(c46, plain,
% 111.68/14.40 $false,
% 111.68/14.40 inference(strict_predicate_extension, [assumptions([a14])], [c12, c44])).
% 111.68/14.40
% 111.68/14.40 cnf(c47, plain,
% 111.68/14.40 $false,
% 111.68/14.40 inference(constraint_solving, [
% 111.68/14.40 bind(X0, implies(a,implies(not(a),b))),
% 111.68/14.40 bind(X1, implies(X2,implies(X3,X2))),
% 111.68/14.40 bind(X2, a),
% 111.68/14.40 bind(X3, not(X19)),
% 111.68/14.40 bind(X4, implies(X1,X0)),
% 111.68/14.40 bind(X5, implies(X29,X28)),
% 111.68/14.40 bind(X6, implies(X29,X28)),
% 111.68/14.40 bind(X7, implies(implies(X25,X26),implies(X25,X27))),
% 111.68/14.40 bind(X8, implies(implies(X25,X26),implies(X25,X27))),
% 111.68/14.40 bind(X9, implies(X22,X24)),
% 111.68/14.40 bind(X10, implies(X22,X24)),
% 111.68/14.40 bind(X11, implies(X12,implies(X13,X12))),
% 111.68/14.40 bind(X12, not(X19)),
% 111.68/14.40 bind(X13, not(X18)),
% 111.68/14.40 bind(X14, implies(X11,X10)),
% 111.68/14.40 bind(X15, implies(X21,X20)),
% 111.68/14.40 bind(X16, implies(X21,X20)),
% 111.68/14.40 bind(X17, implies(implies(not(X18),not(X19)),implies(X19,X18))),
% 111.68/14.40 bind(X18, b),
% 111.68/14.40 bind(X19, a),
% 111.68/14.40 bind(X20, implies(implies(not(X18),not(X19)),implies(X19,X18))),
% 111.68/14.40 bind(X21, not(X19)),
% 111.68/14.40 bind(X22, not(X19)),
% 111.68/14.40 bind(X23, implies(not(X18),not(X19))),
% 111.68/14.40 bind(X24, implies(X19,X18)),
% 111.68/14.40 bind(X25, not(X19)),
% 111.68/14.40 bind(X26, a),
% 111.68/14.40 bind(X27, b),
% 111.68/14.40 bind(X28, implies(implies(X25,X26),implies(X25,X27))),
% 111.68/14.40 bind(X29, a),
% 111.68/14.40 bind(X30, a),
% 111.68/14.40 bind(X31, implies(X25,X26)),
% 111.68/14.40 bind(X32, implies(X25,X27))
% 111.68/14.40 ],
% 111.68/14.40 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14])).
% 111.68/14.40
% 111.68/14.40 % SZS output end IncompleteProof
%------------------------------------------------------------------------------