TSTP Solution File: LCL044-1 by lazyCoP---0.1
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%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : LCL044-1 : 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 : 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 12:06:32 EDT 2022
% Result : Unsatisfiable 0.19s 0.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
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%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL044-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.34 % Computer : n018.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 07:40:04 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.35 % SZS status Unsatisfiable
% 0.19/0.35 % SZS output begin IncompleteProof
% 0.19/0.35 cnf(c0, axiom,
% 0.19/0.35 ~is_a_theorem(implies(a,not(not(a))))).
% 0.19/0.35 cnf(c1, plain,
% 0.19/0.35 ~is_a_theorem(implies(a,not(not(a)))),
% 0.19/0.35 inference(start, [], [c0])).
% 0.19/0.35
% 0.19/0.35 cnf(c2, axiom,
% 0.19/0.35 is_a_theorem(X0) | ~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0))).
% 0.19/0.35 cnf(a0, assumption,
% 0.19/0.35 implies(a,not(not(a))) = X0).
% 0.19/0.35 cnf(c3, plain,
% 0.19/0.35 $false,
% 0.19/0.35 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 0.19/0.35 cnf(c4, plain,
% 0.19/0.35 ~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0)),
% 0.19/0.35 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 0.19/0.35
% 0.19/0.35 cnf(c5, axiom,
% 0.19/0.35 is_a_theorem(implies(X2,implies(X3,X2)))).
% 0.19/0.35 cnf(a1, assumption,
% 0.19/0.35 X1 = implies(X2,implies(X3,X2))).
% 0.19/0.35 cnf(c6, plain,
% 0.19/0.35 ~is_a_theorem(implies(X1,X0)),
% 0.19/0.35 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 0.19/0.35 cnf(c7, plain,
% 0.19/0.35 $false,
% 0.19/0.35 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 0.19/0.35
% 0.19/0.35 cnf(c8, axiom,
% 0.19/0.35 is_a_theorem(X4) | ~is_a_theorem(X5) | ~is_a_theorem(implies(X5,X4))).
% 0.19/0.35 cnf(a2, assumption,
% 0.19/0.35 implies(X1,X0) = X4).
% 0.19/0.35 cnf(c9, plain,
% 0.19/0.35 $false,
% 0.19/0.35 inference(strict_predicate_extension, [assumptions([a2])], [c6, c8])).
% 0.19/0.35 cnf(c10, plain,
% 0.19/0.35 ~is_a_theorem(X5) | ~is_a_theorem(implies(X5,X4)),
% 0.19/0.35 inference(strict_predicate_extension, [assumptions([a2])], [c6, c8])).
% 0.19/0.35
% 0.19/0.35 cnf(c11, axiom,
% 0.19/0.35 is_a_theorem(X6) | ~is_a_theorem(X7) | ~is_a_theorem(implies(X7,X6))).
% 0.19/0.35 cnf(a3, assumption,
% 0.19/0.35 X5 = X6).
% 0.19/0.35 cnf(c12, plain,
% 0.19/0.35 ~is_a_theorem(implies(X5,X4)),
% 0.19/0.35 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])).
% 0.19/0.35 cnf(c13, plain,
% 0.19/0.35 ~is_a_theorem(X7) | ~is_a_theorem(implies(X7,X6)),
% 0.19/0.35 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])).
% 0.19/0.35
% 0.19/0.35 cnf(c14, axiom,
% 0.19/0.35 is_a_theorem(implies(X8,implies(not(X8),X9)))).
% 0.19/0.35 cnf(a4, assumption,
% 0.19/0.35 X7 = implies(X8,implies(not(X8),X9))).
% 0.19/0.35 cnf(c15, plain,
% 0.19/0.35 ~is_a_theorem(implies(X7,X6)),
% 0.19/0.35 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])).
% 0.19/0.35 cnf(c16, plain,
% 0.19/0.35 $false,
% 0.19/0.35 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])).
% 0.19/0.35
% 0.19/0.35 cnf(c17, axiom,
% 0.19/0.35 is_a_theorem(implies(implies(X10,implies(X11,X12)),implies(X11,implies(X10,X12))))).
% 0.19/0.35 cnf(a5, assumption,
% 0.19/0.35 implies(X7,X6) = implies(implies(X10,implies(X11,X12)),implies(X11,implies(X10,X12)))).
% 0.19/0.35 cnf(c18, plain,
% 0.19/0.35 $false,
% 0.19/0.35 inference(strict_predicate_extension, [assumptions([a5])], [c15, c17])).
% 0.19/0.35 cnf(c19, plain,
% 0.19/0.35 $false,
% 0.19/0.35 inference(strict_predicate_extension, [assumptions([a5])], [c15, c17])).
% 0.19/0.35
% 0.19/0.35 cnf(c20, axiom,
% 0.19/0.35 is_a_theorem(implies(implies(X13,X14),implies(implies(not(X13),X14),X14)))).
% 0.19/0.35 cnf(a6, assumption,
% 0.19/0.35 implies(X5,X4) = implies(implies(X13,X14),implies(implies(not(X13),X14),X14))).
% 0.19/0.35 cnf(c21, plain,
% 0.19/0.35 $false,
% 0.19/0.35 inference(strict_predicate_extension, [assumptions([a6])], [c12, c20])).
% 0.19/0.35 cnf(c22, plain,
% 0.19/0.35 $false,
% 0.19/0.35 inference(strict_predicate_extension, [assumptions([a6])], [c12, c20])).
% 0.19/0.35
% 0.19/0.35 cnf(c23, plain,
% 0.19/0.35 $false,
% 0.19/0.35 inference(constraint_solving, [
% 0.19/0.35 bind(X0, implies(a,not(not(a)))),
% 0.19/0.35 bind(X1, implies(X2,implies(X3,X2))),
% 0.19/0.35 bind(X2, not(X13)),
% 0.19/0.35 bind(X3, a),
% 0.19/0.35 bind(X4, implies(X1,X0)),
% 0.19/0.35 bind(X5, implies(X11,implies(X10,X12))),
% 0.19/0.35 bind(X6, implies(X11,implies(X10,X12))),
% 0.19/0.35 bind(X7, implies(X8,implies(not(X8),X9))),
% 0.19/0.35 bind(X8, a),
% 0.19/0.35 bind(X9, not(X13)),
% 0.19/0.35 bind(X10, a),
% 0.19/0.35 bind(X11, not(X8)),
% 0.19/0.35 bind(X12, not(X13)),
% 0.19/0.35 bind(X13, not(X8)),
% 0.19/0.35 bind(X14, implies(X10,X12))
% 0.19/0.35 ],
% 0.19/0.35 [a0, a1, a2, a3, a4, a5, a6])).
% 0.19/0.35
% 0.19/0.35 % SZS output end IncompleteProof
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