TSTP Solution File: SEU093+1 by Refute---2015
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%------------------------------------------------------------------------------
% File : Refute---2015
% Problem : SEU093+1 : TPTP v6.4.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : isabelle tptp_refute %d %s
% Computer : n048.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.75MB
% OS : Linux 3.10.0-327.10.1.el7.x86_64
% CPULimit : 300s
% DateTime : Thu Apr 14 03:54:57 EDT 2016
% Result : Timeout 289.18s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU093+1 : TPTP v6.4.0. Bugfixed v4.0.0.
% 0.00/0.04 % Command : isabelle tptp_refute %d %s
% 0.03/0.24 % Computer : n048.star.cs.uiowa.edu
% 0.03/0.24 % Model : x86_64 x86_64
% 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.24 % Memory : 32218.75MB
% 0.03/0.24 % OS : Linux 3.10.0-327.10.1.el7.x86_64
% 0.03/0.24 % CPULimit : 300
% 0.03/0.24 % DateTime : Wed Apr 6 18:19:39 CDT 2016
% 0.03/0.24 % CPUTime :
% 6.30/5.85 > val it = (): unit
% 6.60/6.13 Trying to find a model that refutes: bnd_finite A = bnd_finite (bnd_powerset A)
% 8.71/8.24 Unfolded term: [| ALL A B C.
% 8.71/8.24 bnd_subset A B & bnd_subset C B --> bnd_subset (bnd_set_union2 A C) B;
% 8.71/8.24 ALL A B. ~ ((bnd_empty A & ~ A = B) & bnd_empty B);
% 8.71/8.24 ALL A B. bnd_subset A (bnd_set_union2 A B);
% 8.71/8.24 ALL A B. ~ (bnd_in A B & bnd_empty B);
% 8.71/8.24 ALL A B. bnd_subset A B --> bnd_subset (bnd_powerset A) (bnd_powerset B);
% 8.71/8.24 ALL A. bnd_empty A --> A = bnd_empty_set;
% 8.71/8.24 ALL A B C.
% 8.71/8.24 ~ ((bnd_in A B & bnd_element B (bnd_powerset C)) & bnd_empty C);
% 8.71/8.24 ALL A B C.
% 8.71/8.24 bnd_in A B & bnd_element B (bnd_powerset C) --> bnd_element A C;
% 8.71/8.24 ALL A. bnd_set_difference bnd_empty_set A = bnd_empty_set;
% 8.71/8.24 ALL A B. bnd_in A B --> bnd_set_union2 (bnd_singleton A) B = B;
% 8.71/8.24 ALL A B C.
% 8.71/8.24 bnd_subset A (bnd_set_union2 B C) -->
% 8.71/8.24 bnd_subset (bnd_set_difference A B) C;
% 8.71/8.24 ALL A B. bnd_element A (bnd_powerset B) = bnd_subset A B;
% 8.71/8.24 ALL A. bnd_set_difference A bnd_empty_set = A;
% 8.71/8.24 ALL A B. bnd_set_union2 A (bnd_set_difference B A) = bnd_set_union2 A B;
% 8.71/8.24 ALL A B. bnd_subset (bnd_singleton A) B = bnd_in A B;
% 8.71/8.24 All (bnd_subset bnd_empty_set);
% 8.71/8.24 ALL A B. (ALL C. bnd_in C A = bnd_in C B) --> A = B;
% 8.71/8.24 ALL A B. bnd_element A B --> bnd_empty B | bnd_in A B;
% 8.71/8.24 bnd_powerset bnd_empty_set = bnd_singleton bnd_empty_set;
% 8.71/8.24 ALL A B. bnd_in A B --> bnd_element A B;
% 8.71/8.24 ALL A. bnd_set_union2 A bnd_empty_set = A;
% 8.71/8.24 ALL A B.
% 8.71/8.24 bnd_relation B & bnd_function B -->
% 8.71/8.24 bnd_finite A --> bnd_finite (bnd_relation_image B A);
% 8.71/8.24 ALL A.
% 8.71/8.24 bnd_relation A -->
% 8.71/8.24 bnd_relation_image A (bnd_relation_dom A) = bnd_relation_rng A;
% 8.71/8.24 ALL A B C D.
% 8.71/8.24 bnd_subset A B & bnd_subset C D -->
% 8.71/8.24 bnd_subset (bnd_set_union2 A C) (bnd_set_union2 B D);
% 8.71/8.24 ALL A B. bnd_subset A B & bnd_finite B --> bnd_finite A;
% 8.71/8.24 ALL A B. bnd_subset A B --> bnd_set_union2 A B = B;
% 8.71/8.24 ALL A B.
% 8.71/8.24 (ALL C D E.
% 8.71/8.24 (bnd_in C (bnd_powerset B) &
% 8.71/8.24 (EX F. F = C & D = bnd_set_union2 F (bnd_singleton A))) &
% 8.71/8.24 (EX G. G = C & E = bnd_set_union2 G (bnd_singleton A)) -->
% 8.71/8.24 D = E) &
% 8.71/8.24 (ALL C.
% 8.71/8.24 ~ (bnd_in C (bnd_powerset B) &
% 8.71/8.24 (ALL D.
% 8.71/8.24 ~ (EX H. H = C &
% 8.71/8.24 D = bnd_set_union2 H (bnd_singleton A))))) -->
% 8.71/8.24 (EX C. ((bnd_relation C & bnd_function C) &
% 8.71/8.24 bnd_relation_dom C = bnd_powerset B) &
% 8.71/8.24 (ALL D.
% 8.71/8.24 bnd_in D (bnd_powerset B) -->
% 8.71/8.24 (EX I. I = D &
% 8.71/8.24 bnd_apply C D =
% 8.71/8.24 bnd_set_union2 I (bnd_singleton A))));
% 8.71/8.24 ALL A B.
% 8.71/8.24 (bnd_finite A & bnd_in bnd_empty_set B) &
% 8.71/8.24 (ALL C D.
% 8.71/8.24 (bnd_in C A & bnd_subset D A) & bnd_in D B -->
% 8.71/8.24 bnd_in (bnd_set_union2 D (bnd_singleton C)) B) -->
% 8.71/8.24 bnd_in A B;
% 8.71/8.24 ALL A.
% 8.71/8.24 EX B. ALL C.
% 8.71/8.24 bnd_in C B =
% 8.71/8.24 (bnd_in C (bnd_powerset A) & (EX D. C = bnd_singleton D));
% 8.71/8.24 ALL A.
% 8.71/8.24 EX B. ALL C.
% 8.71/8.24 bnd_in C B =
% 8.71/8.24 (bnd_in C (bnd_powerset A) &
% 8.71/8.24 (EX D. D = C & bnd_finite (bnd_powerset D)));
% 8.71/8.24 ALL A B. bnd_subset A A;
% 8.71/8.24 EX A. (bnd_relation A & bnd_relation_non_empty A) & bnd_function A;
% 8.71/8.24 EX A. (bnd_relation A & bnd_function A) & bnd_transfinite_sequence A;
% 8.71/8.24 EX A. (bnd_relation A & bnd_relation_empty_yielding A) & bnd_function A;
% 8.71/8.24 EX A. bnd_relation A & bnd_relation_empty_yielding A;
% 8.71/8.24 EX A. ((~ bnd_empty A & bnd_epsilon_transitive A) &
% 8.71/8.24 bnd_epsilon_connected A) &
% 8.71/8.24 bnd_ordinal A;
% 8.71/8.24 EX A. (bnd_relation A & bnd_function A) & bnd_one_to_one A;
% 8.71/8.24 ALL A.
% 8.71/8.24 ~ bnd_empty A -->
% 8.71/8.24 (EX B. (bnd_element B (bnd_powerset A) & ~ bnd_empty B) &
% 8.71/8.24 bnd_finite B);
% 8.71/8.24 EX A. ((((bnd_element A bnd_positive_rationals & bnd_empty A) &
% 8.71/8.24 bnd_epsilon_transitive A) &
% 8.71/8.24 bnd_epsilon_connected A) &
% 8.71/8.24 bnd_ordinal A) &
% 8.71/8.24 bnd_natural A;
% 8.71/8.24 EX A. ~ bnd_empty A;
% 8.71/8.24 ALL A. EX B. bnd_element B (bnd_powerset A) & bnd_empty B;
% 8.71/8.24 EX A. ~ bnd_empty A & bnd_relation A;
% 8.71/8.24 EX A. ((bnd_relation A & bnd_function A) & bnd_transfinite_sequence A) &
% 8.71/8.24 bnd_ordinal_yielding A;
% 8.71/8.24 EX A. (((((bnd_relation A & bnd_function A) & bnd_one_to_one A) &
% 8.71/8.24 bnd_empty A) &
% 8.71/8.24 bnd_epsilon_transitive A) &
% 8.71/8.24 bnd_epsilon_connected A) &
% 8.71/8.24 bnd_ordinal A;
% 8.71/8.24 EX A. (bnd_relation A & bnd_empty A) & bnd_function A;
% 8.71/8.24 ALL A.
% 8.71/8.24 EX B. ((((((((bnd_element B (bnd_powerset A) & bnd_empty B) &
% 8.71/8.24 bnd_relation B) &
% 8.71/8.24 bnd_function B) &
% 8.71/8.24 bnd_one_to_one B) &
% 8.71/8.24 bnd_epsilon_transitive B) &
% 8.71/8.24 bnd_epsilon_connected B) &
% 8.71/8.24 bnd_ordinal B) &
% 8.71/8.24 bnd_natural B) &
% 8.71/8.24 bnd_finite B;
% 8.71/8.24 EX A. (((bnd_element A bnd_positive_rationals & ~ bnd_empty A) &
% 8.71/8.24 bnd_epsilon_transitive A) &
% 8.71/8.24 bnd_epsilon_connected A) &
% 8.71/8.24 bnd_ordinal A;
% 8.71/8.24 Ex bnd_empty;
% 8.71/8.24 ALL A.
% 8.71/8.24 ~ bnd_empty A -->
% 8.71/8.24 (EX B. bnd_element B (bnd_powerset A) & ~ bnd_empty B);
% 8.71/8.24 EX A. bnd_empty A & bnd_relation A;
% 8.71/8.24 EX A. ((bnd_epsilon_transitive A & bnd_epsilon_connected A) &
% 8.71/8.24 bnd_ordinal A) &
% 8.71/8.24 bnd_being_limit_ordinal A;
% 8.71/8.24 EX A. (bnd_epsilon_transitive A & bnd_epsilon_connected A) &
% 8.71/8.24 bnd_ordinal A;
% 8.71/8.24 EX A. bnd_relation A & bnd_function A;
% 8.71/8.24 EX A. (bnd_relation A & bnd_function A) & bnd_function_yielding A;
% 8.71/8.24 EX A. ~ bnd_empty A & bnd_finite A;
% 8.71/8.24 EX A. (((~ bnd_empty A & bnd_epsilon_transitive A) &
% 8.71/8.24 bnd_epsilon_connected A) &
% 8.71/8.24 bnd_ordinal A) &
% 8.71/8.24 bnd_natural A;
% 8.71/8.24 ALL A B. bnd_finite A & bnd_finite B --> bnd_finite (bnd_set_union2 A B);
% 8.71/8.24 ALL A.
% 8.71/8.24 bnd_finite A & (ALL B. bnd_in B A --> bnd_finite B) -->
% 8.71/8.24 bnd_finite (bnd_union A);
% 8.71/8.24 ALL A B. bnd_set_union2 A A = A;
% 8.71/8.24 ALL A B. bnd_finite A & bnd_finite B --> bnd_finite (bnd_set_union2 A B);
% 8.71/8.24 ALL A.
% 8.71/8.24 bnd_empty A -->
% 8.71/8.24 bnd_empty (bnd_relation_rng A) & bnd_relation (bnd_relation_rng A);
% 8.71/8.24 ~ bnd_empty bnd_positive_rationals;
% 8.71/8.24 ALL A.
% 8.71/8.24 bnd_empty A -->
% 8.71/8.24 bnd_empty (bnd_relation_dom A) & bnd_relation (bnd_relation_dom A);
% 8.71/8.24 ALL A B.
% 8.71/8.24 (bnd_relation A & bnd_function A) & bnd_function_yielding A -->
% 8.71/8.24 bnd_relation (bnd_apply A B) & bnd_function (bnd_apply A B);
% 8.71/8.24 ALL A.
% 8.71/8.24 ~ bnd_empty A & bnd_relation A --> ~ bnd_empty (bnd_relation_rng A);
% 8.71/8.24 ALL A.
% 8.71/8.24 (bnd_relation A & bnd_relation_non_empty A) & bnd_function A -->
% 8.71/8.24 bnd_with_non_empty_elements (bnd_relation_rng A);
% 8.71/8.24 ALL A.
% 8.71/8.24 ~ bnd_empty A & bnd_relation A --> ~ bnd_empty (bnd_relation_dom A);
% 8.71/8.24 ALL A.
% 8.71/8.24 (bnd_relation A & bnd_function A) & bnd_transfinite_sequence A -->
% 8.71/8.24 (bnd_epsilon_transitive (bnd_relation_dom A) &
% 8.71/8.24 bnd_epsilon_connected (bnd_relation_dom A)) &
% 8.71/8.24 bnd_ordinal (bnd_relation_dom A);
% 8.71/8.24 bnd_empty bnd_empty_set & bnd_relation bnd_empty_set;
% 8.71/8.24 ALL A.
% 8.71/8.24 bnd_ordinal A -->
% 8.71/8.24 (bnd_epsilon_transitive (bnd_union A) &
% 8.71/8.24 bnd_epsilon_connected (bnd_union A)) &
% 8.71/8.24 bnd_ordinal (bnd_union A);
% 8.71/8.24 ALL A B. ~ bnd_empty A --> ~ bnd_empty (bnd_set_union2 B A);
% 8.71/8.24 ALL A B.
% 8.71/8.24 bnd_relation A & bnd_relation B -->
% 8.71/8.24 bnd_relation (bnd_set_difference A B);
% 8.71/8.24 ALL A B.
% 8.71/8.24 (((bnd_relation A & bnd_function A) & bnd_transfinite_sequence A) &
% 8.71/8.24 bnd_ordinal_yielding A) &
% 8.71/8.24 bnd_ordinal B -->
% 8.71/8.24 (bnd_epsilon_transitive (bnd_apply A B) &
% 8.71/8.24 bnd_epsilon_connected (bnd_apply A B)) &
% 8.71/8.24 bnd_ordinal (bnd_apply A B);
% 8.71/8.24 ALL A B. ~ bnd_empty A --> ~ bnd_empty (bnd_set_union2 A B);
% 8.71/8.24 ALL A. ~ bnd_empty (bnd_singleton A);
% 8.71/8.24 ALL A B.
% 8.71/8.24 bnd_relation A & bnd_relation B --> bnd_relation (bnd_set_union2 A B);
% 8.71/8.24 ((((((bnd_relation bnd_empty_set &
% 8.71/8.24 bnd_relation_empty_yielding bnd_empty_set) &
% 8.71/8.24 bnd_function bnd_empty_set) &
% 8.71/8.24 bnd_one_to_one bnd_empty_set) &
% 8.71/8.24 bnd_empty bnd_empty_set) &
% 8.71/8.24 bnd_epsilon_transitive bnd_empty_set) &
% 8.71/8.24 bnd_epsilon_connected bnd_empty_set) &
% 8.71/8.24 bnd_ordinal bnd_empty_set;
% 8.71/8.24 bnd_empty bnd_empty_set; ALL A. ~ bnd_empty (bnd_powerset A);
% 8.71/8.24 ALL A. ~ bnd_empty (bnd_singleton A) & bnd_finite (bnd_singleton A);
% 8.71/8.24 ALL A B.
% 8.71/8.24 (bnd_relation A & bnd_function A) & bnd_finite B -->
% 8.71/8.24 bnd_finite (bnd_relation_image A B);
% 8.71/8.24 (bnd_empty bnd_empty_set & bnd_relation bnd_empty_set) &
% 8.71/8.24 bnd_relation_empty_yielding bnd_empty_set;
% 8.71/8.24 ALL A B. bnd_finite A --> bnd_finite (bnd_set_difference A B);
% 8.71/8.24 ALL A. EX B. bnd_element B A;
% 8.71/8.24 ALL A.
% 8.71/8.24 bnd_relation A & bnd_function A -->
% 8.71/8.24 (ALL B.
% 8.71/8.24 (B = bnd_relation_rng A) =
% 8.71/8.24 (ALL C.
% 8.71/8.24 bnd_in C B =
% 8.71/8.24 (EX D. bnd_in D (bnd_relation_dom A) & C = bnd_apply A D)));
% 8.71/8.24 ALL A B C.
% 8.71/8.24 (C = bnd_set_difference A B) =
% 8.71/8.24 (ALL D. bnd_in D C = (bnd_in D A & ~ bnd_in D B));
% 8.71/8.24 ALL A B.
% 8.71/8.24 (B = bnd_union A) =
% 8.71/8.24 (ALL C. bnd_in C B = (EX D. bnd_in C D & bnd_in D A));
% 8.71/8.24 ALL A B. bnd_subset A B = (ALL C. bnd_in C A --> bnd_in C B);
% 8.71/8.24 ALL A B C.
% 8.71/8.24 (C = bnd_set_union2 A B) =
% 8.71/8.24 (ALL D. bnd_in D C = (bnd_in D A | bnd_in D B));
% 8.71/8.24 ALL A B. (B = bnd_singleton A) = (ALL C. bnd_in C B = (C = A));
% 8.71/8.24 ALL A B. bnd_set_union2 A B = bnd_set_union2 B A;
% 8.71/8.24 ALL A.
% 8.71/8.24 bnd_element A bnd_positive_rationals -->
% 8.71/8.24 bnd_ordinal A -->
% 8.71/8.24 ((bnd_epsilon_transitive A & bnd_epsilon_connected A) &
% 8.71/8.24 bnd_ordinal A) &
% 8.71/8.24 bnd_natural A;
% 8.71/8.24 ALL A.
% 8.71/8.24 bnd_empty A -->
% 8.71/8.24 (bnd_epsilon_transitive A & bnd_epsilon_connected A) & bnd_ordinal A;
% 8.71/8.24 ALL A.
% 8.71/8.24 bnd_epsilon_transitive A & bnd_epsilon_connected A --> bnd_ordinal A;
% 8.71/8.24 ALL A.
% 8.71/8.24 (bnd_relation A & bnd_empty A) & bnd_function A -->
% 8.71/8.24 (bnd_relation A & bnd_function A) & bnd_one_to_one A;
% 8.71/8.24 ALL A.
% 8.71/8.24 bnd_finite A -->
% 8.71/8.24 (ALL B. bnd_element B (bnd_powerset A) --> bnd_finite B);
% 8.71/8.24 ALL A.
% 8.71/8.24 bnd_empty A & bnd_ordinal A -->
% 8.71/8.24 ((bnd_epsilon_transitive A & bnd_epsilon_connected A) &
% 8.71/8.24 bnd_ordinal A) &
% 8.71/8.24 bnd_natural A;
% 8.71/8.24 ALL A. bnd_empty A --> bnd_relation A;
% 8.71/8.24 ALL A.
% 8.71/8.24 bnd_ordinal A --> bnd_epsilon_transitive A & bnd_epsilon_connected A;
% 8.71/8.24 ALL A. bnd_empty A --> bnd_function A;
% 8.71/8.24 ALL A. bnd_empty A --> bnd_finite A;
% 8.71/8.24 ALL A.
% 8.71/8.24 bnd_ordinal A -->
% 8.71/8.24 (ALL B.
% 8.71/8.24 bnd_element B A -->
% 8.71/8.24 (bnd_epsilon_transitive B & bnd_epsilon_connected B) &
% 8.71/8.24 bnd_ordinal B);
% 8.71/8.24 ALL A B. bnd_in A B --> ~ bnd_in B A |]
% 8.71/8.24 ==> bnd_finite A = bnd_finite (bnd_powerset A)
% 8.71/8.24 Adding axioms...
% 8.71/8.24 Typedef.type_definition_def
% 19.23/18.71 ...done.
% 19.23/18.73 Ground types: ?'b, TPTP_Interpret.ind
% 19.23/18.73 Translating term (sizes: 1, 1) ...
% 26.63/26.10 Invoking SAT solver...
% 26.63/26.10 No model exists.
% 26.63/26.10 Translating term (sizes: 2, 1) ...
% 34.66/34.16 Invoking SAT solver...
% 34.66/34.17 No model exists.
% 34.66/34.17 Translating term (sizes: 1, 2) ...
% 67.84/67.26 Invoking SAT solver...
% 67.84/67.27 No model exists.
% 67.84/67.27 Translating term (sizes: 3, 1) ...
% 78.37/77.71 Invoking SAT solver...
% 78.37/77.71 No model exists.
% 78.37/77.71 Translating term (sizes: 2, 2) ...
% 119.32/118.57 Invoking SAT solver...
% 119.32/118.58 No model exists.
% 119.32/118.58 Translating term (sizes: 1, 3) ...
% 271.35/269.72 Invoking SAT solver...
% 271.45/269.82 No model exists.
% 271.45/269.82 Translating term (sizes: 4, 1) ...
% 289.18/287.41 Invoking SAT solver...
% 289.18/287.41 No model exists.
% 289.18/287.41 Translating term (sizes: 3, 2) ...
% 300.01/298.14 /export/starexec/sandbox2/solver/lib/scripts/run-polyml-5.5.2: line 82: 64692 CPU time limit exceeded (core dumped) "$ISABELLE_HOME/lib/scripts/feeder" -p -h "$MLTEXT" -t "$MLEXIT" $FEEDER_OPTS
% 300.01/298.14 64693 (core dumped) | { read FPID; "$POLY" -q -i $ML_OPTIONS; RC="$?"; kill -TERM "$FPID"; exit "$RC"; }
% 300.01/298.16 /export/starexec/sandbox2/solver/src/HOL/TPTP/lib/Tools/tptp_refute: line 26: 64638 Exit 152 "$ISABELLE_PROCESS" -q -e "use_thy \"/tmp/$SCRATCH\"; exit 1;" HOL-TPTP
% 300.01/298.16 64639 CPU time limit exceeded (core dumped) | grep --line-buffered -v "^###\|^PROOF FAILED for depth\|^Failure node\|inferences so far. Searching to depth\|^val \|^Loading theory\|^Warning-The type of\|^ monotype.$"
%------------------------------------------------------------------------------