TSTP Solution File: LCL064-2 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : LCL064-2 : 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 : n029.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 12:06:38 EDT 2022
% Result : Unsatisfiable 20.61s 2.98s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LCL064-2 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.14 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jul 3 18:45:56 EDT 2022
% 0.14/0.36 % CPUTime :
% 20.61/2.98 % SZS status Unsatisfiable
% 20.61/2.98 % SZS output begin IncompleteProof
% 20.61/2.98 cnf(c0, axiom,
% 20.61/2.98 ~is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c))))).
% 20.61/2.98 cnf(c1, plain,
% 20.61/2.98 ~is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
% 20.61/2.98 inference(start, [], [c0])).
% 20.61/2.98
% 20.61/2.98 cnf(c2, axiom,
% 20.61/2.98 is_a_theorem(X0) | ~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0))).
% 20.61/2.98 cnf(a0, assumption,
% 20.61/2.98 implies(implies(a,b),implies(implies(b,c),implies(a,c))) = X0).
% 20.61/2.98 cnf(c3, plain,
% 20.61/2.98 $false,
% 20.61/2.98 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 20.61/2.98 cnf(c4, plain,
% 20.61/2.98 ~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0)),
% 20.61/2.98 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 20.61/2.98
% 20.61/2.98 cnf(c5, axiom,
% 20.61/2.98 is_a_theorem(implies(X2,implies(X3,X2)))).
% 20.61/2.98 cnf(a1, assumption,
% 20.61/2.98 X1 = implies(X2,implies(X3,X2))).
% 20.61/2.98 cnf(c6, plain,
% 20.61/2.98 ~is_a_theorem(implies(X1,X0)),
% 20.61/2.98 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 20.61/2.98 cnf(c7, plain,
% 20.61/2.98 $false,
% 20.61/2.98 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 20.61/2.98
% 20.61/2.98 cnf(c8, axiom,
% 20.61/2.98 is_a_theorem(X4) | ~is_a_theorem(X5) | ~is_a_theorem(implies(X5,X4))).
% 20.61/2.98 cnf(a2, assumption,
% 20.61/2.98 implies(X1,X0) = X4).
% 20.61/2.98 cnf(c9, plain,
% 20.61/2.98 $false,
% 20.61/2.98 inference(strict_predicate_extension, [assumptions([a2])], [c6, c8])).
% 20.61/2.98 cnf(c10, plain,
% 20.61/2.98 ~is_a_theorem(X5) | ~is_a_theorem(implies(X5,X4)),
% 20.61/2.98 inference(strict_predicate_extension, [assumptions([a2])], [c6, c8])).
% 20.61/2.98
% 20.61/2.98 cnf(c11, axiom,
% 20.61/2.98 is_a_theorem(X6) | ~is_a_theorem(X7) | ~is_a_theorem(implies(X7,X6))).
% 20.61/2.98 cnf(a3, assumption,
% 20.61/2.98 X5 = X6).
% 20.61/2.98 cnf(c12, plain,
% 20.61/2.98 ~is_a_theorem(implies(X5,X4)),
% 20.61/2.98 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])).
% 20.61/2.98 cnf(c13, plain,
% 20.61/2.98 ~is_a_theorem(X7) | ~is_a_theorem(implies(X7,X6)),
% 20.61/2.98 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])).
% 20.61/2.98
% 20.61/2.98 cnf(c14, axiom,
% 20.61/2.98 is_a_theorem(X8) | ~is_a_theorem(X9) | ~is_a_theorem(implies(X9,X8))).
% 20.61/2.98 cnf(a4, assumption,
% 20.61/2.98 X7 = X8).
% 20.61/2.98 cnf(c15, plain,
% 20.61/2.98 ~is_a_theorem(implies(X7,X6)),
% 20.61/2.98 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])).
% 20.61/2.98 cnf(c16, plain,
% 20.61/2.98 ~is_a_theorem(X9) | ~is_a_theorem(implies(X9,X8)),
% 20.61/2.98 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])).
% 20.61/2.98
% 20.61/2.98 cnf(c17, axiom,
% 20.61/2.98 is_a_theorem(X10) | ~is_a_theorem(X11) | ~is_a_theorem(implies(X11,X10))).
% 20.61/2.98 cnf(a5, assumption,
% 20.61/2.98 X9 = X10).
% 20.61/2.98 cnf(c18, plain,
% 20.61/2.98 ~is_a_theorem(implies(X9,X8)),
% 20.61/2.98 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])).
% 20.61/2.98 cnf(c19, plain,
% 20.61/2.98 ~is_a_theorem(X11) | ~is_a_theorem(implies(X11,X10)),
% 20.61/2.98 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])).
% 20.61/2.98
% 20.61/2.98 cnf(c20, axiom,
% 20.61/2.98 is_a_theorem(implies(X12,implies(X13,X12)))).
% 20.61/2.98 cnf(a6, assumption,
% 20.61/2.98 X11 = implies(X12,implies(X13,X12))).
% 20.61/2.98 cnf(c21, plain,
% 20.61/2.98 ~is_a_theorem(implies(X11,X10)),
% 20.61/2.98 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])).
% 20.61/2.98 cnf(c22, plain,
% 20.61/2.98 $false,
% 20.61/2.98 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])).
% 20.61/2.98
% 20.61/2.98 cnf(c23, axiom,
% 20.61/2.98 is_a_theorem(X14) | ~is_a_theorem(X15) | ~is_a_theorem(implies(X15,X14))).
% 20.61/2.98 cnf(a7, assumption,
% 20.61/2.98 implies(X11,X10) = X14).
% 20.61/2.98 cnf(c24, plain,
% 20.61/2.98 $false,
% 20.61/2.98 inference(strict_predicate_extension, [assumptions([a7])], [c21, c23])).
% 20.61/2.98 cnf(c25, plain,
% 20.61/2.98 ~is_a_theorem(X15) | ~is_a_theorem(implies(X15,X14)),
% 20.61/2.98 inference(strict_predicate_extension, [assumptions([a7])], [c21, c23])).
% 20.61/2.98
% 20.61/2.98 cnf(c26, axiom,
% 20.61/2.98 is_a_theorem(X16) | ~is_a_theorem(X17) | ~is_a_theorem(implies(X17,X16))).
% 20.61/2.98 cnf(a8, assumption,
% 20.61/2.98 X15 = X16).
% 20.61/2.98 cnf(c27, plain,
% 20.61/2.98 ~is_a_theorem(implies(X15,X14)),
% 20.61/2.98 inference(strict_predicate_extension, [assumptions([a8])], [c25, c26])).
% 20.61/2.98 cnf(c28, plain,
% 20.61/2.98 ~is_a_theorem(X17) | ~is_a_theorem(implies(X17,X16)),
% 20.61/2.98 inference(strict_predicate_extension, [assumptions([a8])], [c25, c26])).
% 20.61/2.98
% 20.61/2.98 cnf(c29, axiom,
% 20.61/2.98 is_a_theorem(implies(implies(X18,implies(X19,X20)),implies(implies(X18,X19),implies(X18,X20))))).
% 20.61/2.98 cnf(a9, assumption,
% 20.61/2.98 X17 = implies(implies(X18,implies(X19,X20)),implies(implies(X18,X19),implies(X18,X20)))).
% 20.61/2.98 cnf(c30, plain,
% 20.61/2.98 ~is_a_theorem(implies(X17,X16)),
% 20.61/2.98 inference(strict_predicate_extension, [assumptions([a9])], [c28, c29])).
% 20.61/2.98 cnf(c31, plain,
% 20.61/2.98 $false,
% 20.61/2.98 inference(strict_predicate_extension, [assumptions([a9])], [c28, c29])).
% 20.61/2.98
% 20.61/2.98 cnf(c32, axiom,
% 20.61/2.98 is_a_theorem(implies(X21,implies(X22,X21)))).
% 20.61/2.98 cnf(a10, assumption,
% 20.61/2.98 implies(X17,X16) = implies(X21,implies(X22,X21))).
% 20.61/2.98 cnf(c33, plain,
% 20.61/2.98 $false,
% 20.61/2.98 inference(strict_predicate_extension, [assumptions([a10])], [c30, c32])).
% 20.61/2.98 cnf(c34, plain,
% 20.61/2.98 $false,
% 20.61/2.98 inference(strict_predicate_extension, [assumptions([a10])], [c30, c32])).
% 20.61/2.98
% 20.61/2.98 cnf(c35, axiom,
% 20.61/2.98 is_a_theorem(implies(implies(X23,implies(X24,X25)),implies(implies(X23,X24),implies(X23,X25))))).
% 20.61/2.98 cnf(a11, assumption,
% 20.61/2.98 implies(X15,X14) = implies(implies(X23,implies(X24,X25)),implies(implies(X23,X24),implies(X23,X25)))).
% 20.61/2.98 cnf(c36, plain,
% 20.61/2.98 $false,
% 20.61/2.98 inference(strict_predicate_extension, [assumptions([a11])], [c27, c35])).
% 20.61/2.98 cnf(c37, plain,
% 20.61/2.98 $false,
% 20.61/2.98 inference(strict_predicate_extension, [assumptions([a11])], [c27, c35])).
% 20.61/2.98
% 20.61/2.98 cnf(c38, axiom,
% 20.61/2.98 is_a_theorem(implies(implies(X26,implies(X27,X28)),implies(implies(X26,X27),implies(X26,X28))))).
% 20.61/2.98 cnf(a12, assumption,
% 20.61/2.98 implies(X9,X8) = implies(implies(X26,implies(X27,X28)),implies(implies(X26,X27),implies(X26,X28)))).
% 20.61/2.98 cnf(c39, plain,
% 20.61/2.98 $false,
% 20.61/2.98 inference(strict_predicate_extension, [assumptions([a12])], [c18, c38])).
% 20.61/2.98 cnf(c40, plain,
% 20.61/2.98 $false,
% 20.61/2.98 inference(strict_predicate_extension, [assumptions([a12])], [c18, c38])).
% 20.61/2.98
% 20.61/2.98 cnf(c41, axiom,
% 20.61/2.98 is_a_theorem(implies(X29,implies(X30,X29)))).
% 20.61/2.98 cnf(a13, assumption,
% 20.61/2.98 implies(X7,X6) = implies(X29,implies(X30,X29))).
% 20.61/2.98 cnf(c42, plain,
% 20.61/2.98 $false,
% 20.61/2.98 inference(strict_predicate_extension, [assumptions([a13])], [c15, c41])).
% 20.61/2.98 cnf(c43, plain,
% 20.61/2.98 $false,
% 20.61/2.98 inference(strict_predicate_extension, [assumptions([a13])], [c15, c41])).
% 20.61/2.98
% 20.61/2.98 cnf(c44, axiom,
% 20.61/2.98 is_a_theorem(implies(implies(X31,implies(X32,X33)),implies(implies(X31,X32),implies(X31,X33))))).
% 20.61/2.98 cnf(a14, assumption,
% 20.61/2.98 implies(X5,X4) = implies(implies(X31,implies(X32,X33)),implies(implies(X31,X32),implies(X31,X33)))).
% 20.61/2.98 cnf(c45, plain,
% 20.61/2.98 $false,
% 20.61/2.98 inference(strict_predicate_extension, [assumptions([a14])], [c12, c44])).
% 20.61/2.98 cnf(c46, plain,
% 20.61/2.98 $false,
% 20.61/2.98 inference(strict_predicate_extension, [assumptions([a14])], [c12, c44])).
% 20.61/2.98
% 20.61/2.98 cnf(c47, plain,
% 20.61/2.98 $false,
% 20.61/2.98 inference(constraint_solving, [
% 20.61/2.98 bind(X0, implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
% 20.61/2.98 bind(X1, implies(X2,implies(X3,X2))),
% 20.61/2.98 bind(X2, implies(X18,X19)),
% 20.61/2.98 bind(X3, implies(X19,X20)),
% 20.61/2.98 bind(X4, implies(X1,X0)),
% 20.61/2.98 bind(X5, implies(X30,X29)),
% 20.61/2.98 bind(X6, implies(X30,X29)),
% 20.61/2.98 bind(X7, implies(implies(X26,X27),implies(X26,X28))),
% 20.61/2.98 bind(X8, implies(implies(X26,X27),implies(X26,X28))),
% 20.61/2.98 bind(X9, implies(X23,X25)),
% 20.61/2.98 bind(X10, implies(X23,X25)),
% 20.61/2.98 bind(X11, implies(X12,implies(X13,X12))),
% 20.61/2.98 bind(X12, implies(X19,X20)),
% 20.61/2.98 bind(X13, a),
% 20.61/2.98 bind(X14, implies(X11,X10)),
% 20.61/2.98 bind(X15, implies(X22,X21)),
% 20.61/2.98 bind(X16, implies(X22,X21)),
% 20.61/2.98 bind(X17, implies(implies(X18,implies(X19,X20)),implies(implies(X18,X19),implies(X18,X20)))),
% 20.61/2.98 bind(X18, a),
% 20.61/2.98 bind(X19, b),
% 20.61/2.98 bind(X20, c),
% 20.61/2.98 bind(X21, implies(implies(X18,implies(X19,X20)),implies(implies(X18,X19),implies(X18,X20)))),
% 20.61/2.98 bind(X22, implies(X19,X20)),
% 20.61/2.98 bind(X23, implies(X19,X20)),
% 20.61/2.98 bind(X24, implies(X18,implies(X19,X20))),
% 20.61/2.98 bind(X25, implies(implies(X18,X19),implies(X18,X20))),
% 20.61/2.98 bind(X26, implies(X19,X20)),
% 20.61/2.98 bind(X27, implies(X18,X19)),
% 20.61/2.98 bind(X28, implies(X18,X20)),
% 20.61/2.98 bind(X29, implies(implies(X26,X27),implies(X26,X28))),
% 20.61/2.98 bind(X30, implies(X18,X19)),
% 20.61/2.98 bind(X31, implies(X18,X19)),
% 20.61/2.98 bind(X32, implies(X26,X27)),
% 20.61/2.98 bind(X33, implies(X26,X28))
% 20.61/2.98 ],
% 20.61/2.98 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14])).
% 20.61/2.98
% 20.61/2.98 % SZS output end IncompleteProof
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