TSTP Solution File: LCL358-1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : LCL358-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n012.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 12:08:40 EDT 2022
% Result : Unsatisfiable 0.20s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL358-1 : TPTP v8.1.0. Released v2.3.0.
% 0.06/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 3 21:52:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % SZS status Unsatisfiable
% 0.20/0.48 % SZS output begin IncompleteProof
% 0.20/0.48 cnf(c0, axiom,
% 0.20/0.48 ~is_a_theorem(implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u)))))).
% 0.20/0.48 cnf(c1, plain,
% 0.20/0.48 ~is_a_theorem(implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u))))),
% 0.20/0.48 inference(start, [], [c0])).
% 0.20/0.48
% 0.20/0.48 cnf(c2, axiom,
% 0.20/0.48 is_a_theorem(X0) | ~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0))).
% 0.20/0.48 cnf(a0, assumption,
% 0.20/0.48 implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u)))) = X0).
% 0.20/0.48 cnf(c3, plain,
% 0.20/0.48 $false,
% 0.20/0.48 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 0.20/0.48 cnf(c4, plain,
% 0.20/0.48 ~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0)),
% 0.20/0.48 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 0.20/0.48
% 0.20/0.48 cnf(c5, axiom,
% 0.20/0.48 is_a_theorem(X2) | ~is_a_theorem(X3) | ~is_a_theorem(implies(X3,X2))).
% 0.20/0.48 cnf(a1, assumption,
% 0.20/0.48 X1 = X2).
% 0.20/0.48 cnf(c6, plain,
% 0.20/0.48 ~is_a_theorem(implies(X1,X0)),
% 0.20/0.48 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 0.20/0.48 cnf(c7, plain,
% 0.20/0.48 ~is_a_theorem(X3) | ~is_a_theorem(implies(X3,X2)),
% 0.20/0.48 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 0.20/0.48
% 0.20/0.48 cnf(c8, axiom,
% 0.20/0.48 is_a_theorem(X4) | ~is_a_theorem(X5) | ~is_a_theorem(implies(X5,X4))).
% 0.20/0.48 cnf(a2, assumption,
% 0.20/0.48 X3 = X4).
% 0.20/0.48 cnf(c9, plain,
% 0.20/0.48 ~is_a_theorem(implies(X3,X2)),
% 0.20/0.48 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])).
% 0.20/0.48 cnf(c10, plain,
% 0.20/0.48 ~is_a_theorem(X5) | ~is_a_theorem(implies(X5,X4)),
% 0.20/0.48 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])).
% 0.20/0.48
% 0.20/0.48 cnf(c11, axiom,
% 0.20/0.48 is_a_theorem(implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8))))).
% 0.20/0.48 cnf(a3, assumption,
% 0.20/0.48 X5 = implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8)))).
% 0.20/0.48 cnf(c12, plain,
% 0.20/0.48 ~is_a_theorem(implies(X5,X4)),
% 0.20/0.48 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])).
% 0.20/0.48 cnf(c13, plain,
% 0.20/0.48 $false,
% 0.20/0.48 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])).
% 0.20/0.48
% 0.20/0.48 cnf(c14, axiom,
% 0.20/0.48 is_a_theorem(X9) | ~is_a_theorem(X10) | ~is_a_theorem(implies(X10,X9))).
% 0.20/0.48 cnf(a4, assumption,
% 0.20/0.48 implies(X5,X4) = X9).
% 0.20/0.48 cnf(c15, plain,
% 0.20/0.48 $false,
% 0.20/0.48 inference(strict_predicate_extension, [assumptions([a4])], [c12, c14])).
% 0.20/0.48 cnf(c16, plain,
% 0.20/0.48 ~is_a_theorem(X10) | ~is_a_theorem(implies(X10,X9)),
% 0.20/0.48 inference(strict_predicate_extension, [assumptions([a4])], [c12, c14])).
% 0.20/0.48
% 0.20/0.48 cnf(c17, axiom,
% 0.20/0.48 is_a_theorem(implies(implies(X11,X12),implies(implies(X12,X13),implies(X11,X13))))).
% 0.20/0.48 cnf(a5, assumption,
% 0.20/0.48 X10 = implies(implies(X11,X12),implies(implies(X12,X13),implies(X11,X13)))).
% 0.20/0.48 cnf(c18, plain,
% 0.20/0.48 ~is_a_theorem(implies(X10,X9)),
% 0.20/0.48 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])).
% 0.20/0.48 cnf(c19, plain,
% 0.20/0.48 $false,
% 0.20/0.48 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])).
% 0.20/0.48
% 0.20/0.48 cnf(c20, axiom,
% 0.20/0.48 is_a_theorem(implies(implies(X14,X15),implies(implies(X15,X16),implies(X14,X16))))).
% 0.20/0.48 cnf(a6, assumption,
% 0.20/0.48 implies(X10,X9) = implies(implies(X14,X15),implies(implies(X15,X16),implies(X14,X16)))).
% 0.20/0.48 cnf(c21, plain,
% 0.20/0.48 $false,
% 0.20/0.48 inference(strict_predicate_extension, [assumptions([a6])], [c18, c20])).
% 0.20/0.48 cnf(c22, plain,
% 0.20/0.48 $false,
% 0.20/0.48 inference(strict_predicate_extension, [assumptions([a6])], [c18, c20])).
% 0.20/0.48
% 0.20/0.48 cnf(c23, axiom,
% 0.20/0.48 is_a_theorem(implies(implies(X17,X18),implies(implies(X18,X19),implies(X17,X19))))).
% 0.20/0.48 cnf(a7, assumption,
% 0.20/0.48 implies(X3,X2) = implies(implies(X17,X18),implies(implies(X18,X19),implies(X17,X19)))).
% 0.20/0.48 cnf(c24, plain,
% 0.20/0.48 $false,
% 0.20/0.48 inference(strict_predicate_extension, [assumptions([a7])], [c9, c23])).
% 0.20/0.48 cnf(c25, plain,
% 0.20/0.48 $false,
% 0.20/0.48 inference(strict_predicate_extension, [assumptions([a7])], [c9, c23])).
% 0.20/0.48
% 0.20/0.48 cnf(c26, axiom,
% 0.20/0.48 is_a_theorem(X20) | ~is_a_theorem(X21) | ~is_a_theorem(implies(X21,X20))).
% 0.20/0.48 cnf(a8, assumption,
% 0.20/0.48 implies(X1,X0) = X20).
% 0.20/0.48 cnf(c27, plain,
% 0.20/0.48 $false,
% 0.20/0.48 inference(strict_predicate_extension, [assumptions([a8])], [c6, c26])).
% 0.20/0.48 cnf(c28, plain,
% 0.20/0.48 ~is_a_theorem(X21) | ~is_a_theorem(implies(X21,X20)),
% 0.20/0.48 inference(strict_predicate_extension, [assumptions([a8])], [c6, c26])).
% 0.20/0.48
% 0.20/0.48 cnf(c29, axiom,
% 0.20/0.48 is_a_theorem(implies(implies(X22,X23),implies(implies(X23,X24),implies(X22,X24))))).
% 0.20/0.48 cnf(a9, assumption,
% 0.20/0.48 X21 = implies(implies(X22,X23),implies(implies(X23,X24),implies(X22,X24)))).
% 0.20/0.48 cnf(c30, plain,
% 0.20/0.48 ~is_a_theorem(implies(X21,X20)),
% 0.20/0.48 inference(strict_predicate_extension, [assumptions([a9])], [c28, c29])).
% 0.20/0.48 cnf(c31, plain,
% 0.20/0.48 $false,
% 0.20/0.48 inference(strict_predicate_extension, [assumptions([a9])], [c28, c29])).
% 0.20/0.48
% 0.20/0.48 cnf(c32, axiom,
% 0.20/0.48 is_a_theorem(implies(implies(X25,X26),implies(implies(X26,X27),implies(X25,X27))))).
% 0.20/0.48 cnf(a10, assumption,
% 0.20/0.48 implies(X21,X20) = implies(implies(X25,X26),implies(implies(X26,X27),implies(X25,X27)))).
% 0.20/0.48 cnf(c33, plain,
% 0.20/0.48 $false,
% 0.20/0.48 inference(strict_predicate_extension, [assumptions([a10])], [c30, c32])).
% 0.20/0.48 cnf(c34, plain,
% 0.20/0.48 $false,
% 0.20/0.48 inference(strict_predicate_extension, [assumptions([a10])], [c30, c32])).
% 0.20/0.48
% 0.20/0.48 cnf(c35, plain,
% 0.20/0.48 $false,
% 0.20/0.48 inference(constraint_solving, [
% 0.20/0.48 bind(X0, implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u))))),
% 0.20/0.48 bind(X1, implies(implies(X18,X19),implies(X17,X19))),
% 0.20/0.48 bind(X2, implies(implies(X18,X19),implies(X17,X19))),
% 0.20/0.48 bind(X3, implies(X14,X16)),
% 0.20/0.48 bind(X4, implies(X14,X16)),
% 0.20/0.48 bind(X5, implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8)))),
% 0.20/0.48 bind(X6, implies(X12,X13)),
% 0.20/0.48 bind(X7, implies(X11,X13)),
% 0.20/0.48 bind(X8, u),
% 0.20/0.48 bind(X9, implies(X5,X4)),
% 0.20/0.48 bind(X10, implies(implies(X11,X12),implies(implies(X12,X13),implies(X11,X13)))),
% 0.20/0.48 bind(X11, y),
% 0.20/0.48 bind(X12, v),
% 0.20/0.48 bind(X13, z),
% 0.20/0.48 bind(X14, implies(X11,X12)),
% 0.20/0.48 bind(X15, implies(implies(X12,X13),implies(X11,X13))),
% 0.20/0.48 bind(X16, implies(implies(X7,X8),implies(X6,X8))),
% 0.20/0.48 bind(X17, implies(X11,X12)),
% 0.20/0.48 bind(X18, implies(implies(X7,X8),implies(X6,X8))),
% 0.20/0.48 bind(X19, implies(X22,X24)),
% 0.20/0.48 bind(X20, implies(X1,X0)),
% 0.20/0.48 bind(X21, implies(implies(X22,X23),implies(implies(X23,X24),implies(X22,X24)))),
% 0.20/0.48 bind(X22, x),
% 0.20/0.48 bind(X23, implies(X7,X8)),
% 0.20/0.48 bind(X24, implies(X6,X8)),
% 0.20/0.48 bind(X25, implies(X22,X23)),
% 0.20/0.48 bind(X26, implies(implies(X23,X24),implies(X22,X24))),
% 0.20/0.48 bind(X27, implies(X17,X19))
% 0.20/0.48 ],
% 0.20/0.48 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10])).
% 0.20/0.48
% 0.20/0.48 % SZS output end IncompleteProof
%------------------------------------------------------------------------------