TSTP Solution File: SET781+3 by Refute---2015
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%------------------------------------------------------------------------------
% File : Refute---2015
% Problem : SET781+3 : TPTP v6.4.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : isabelle tptp_refute %d %s
% Computer : n089.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 03:11:04 EDT 2016
% Result : Timeout 300.08s
% 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 : SET781+3 : TPTP v6.4.0. Bugfixed v5.4.0.
% 0.00/0.04 % Command : isabelle tptp_refute %d %s
% 0.03/0.23 % Computer : n089.star.cs.uiowa.edu
% 0.03/0.23 % Model : x86_64 x86_64
% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23 % Memory : 32218.75MB
% 0.03/0.23 % OS : Linux 3.10.0-327.10.1.el7.x86_64
% 0.03/0.23 % CPULimit : 300
% 0.03/0.23 % DateTime : Fri Apr 8 01:53:39 CDT 2016
% 0.03/0.23 % CPUTime :
% 6.30/5.96 > val it = (): unit
% 6.60/6.21 Trying to find a model that refutes: True
% 7.80/7.46 Unfolded term: [| EX XF.
% 7.80/7.46 bnd_function XF &
% 7.80/7.46 (ALL Y.
% 7.80/7.46 bnd_member Y bnd_universal_class -->
% 7.80/7.46 Y = bnd_null_class | bnd_member (bnd_apply XF Y) Y);
% 7.80/7.46 ALL XF Y.
% 7.80/7.46 bnd_apply XF Y = bnd_sum_class (bnd_image XF (bnd_singleton Y));
% 7.80/7.46 ALL X.
% 7.80/7.46 ~ X = bnd_null_class -->
% 7.80/7.46 (EX U. (bnd_member U bnd_universal_class & bnd_member U X) &
% 7.80/7.46 bnd_disjoint U X);
% 7.80/7.46 ALL X Y. bnd_disjoint X Y = (ALL U. ~ (bnd_member U X & bnd_member U Y));
% 7.80/7.46 ALL X XF.
% 7.80/7.46 bnd_member X bnd_universal_class & bnd_function XF -->
% 7.80/7.46 bnd_member (bnd_image XF X) bnd_universal_class;
% 7.80/7.46 ALL XF.
% 7.80/7.46 bnd_function XF =
% 7.80/7.46 (bnd_subclass XF
% 7.80/7.46 (bnd_cross_product bnd_universal_class bnd_universal_class) &
% 7.80/7.46 bnd_subclass (bnd_compose XF (bnd_inverse XF))
% 7.80/7.46 bnd_identity_relation);
% 7.80/7.46 ALL Z.
% 7.80/7.46 bnd_member Z bnd_identity_relation =
% 7.80/7.46 (EX X. bnd_member X bnd_universal_class & Z = bnd_ordered_pair X X);
% 7.80/7.46 ALL XR YR U V.
% 7.80/7.46 bnd_member (bnd_ordered_pair U V) (bnd_compose YR XR) =
% 7.80/7.46 (bnd_member U bnd_universal_class &
% 7.80/7.46 bnd_member V (bnd_image YR (bnd_image XR (bnd_singleton U))));
% 7.80/7.46 ALL XR YR.
% 7.80/7.46 bnd_subclass (bnd_compose YR XR)
% 7.80/7.46 (bnd_cross_product bnd_universal_class bnd_universal_class);
% 7.80/7.46 ALL U.
% 7.80/7.46 bnd_member U bnd_universal_class -->
% 7.80/7.46 bnd_member (bnd_power_class U) bnd_universal_class;
% 7.80/7.46 ALL U X.
% 7.80/7.46 bnd_member U (bnd_power_class X) =
% 7.80/7.46 (bnd_member U bnd_universal_class & bnd_subclass U X);
% 7.80/7.46 ALL X.
% 7.80/7.46 bnd_member X bnd_universal_class -->
% 7.80/7.46 bnd_member (bnd_sum_class X) bnd_universal_class;
% 7.80/7.46 ALL U X.
% 7.80/7.46 bnd_member U (bnd_sum_class X) =
% 7.80/7.46 (EX Y. bnd_member U Y & bnd_member Y X);
% 7.80/7.46 EX X. (bnd_member X bnd_universal_class & bnd_inductive X) &
% 7.80/7.46 (ALL Y. bnd_inductive Y --> bnd_subclass X Y);
% 7.80/7.46 ALL X.
% 7.80/7.46 bnd_inductive X =
% 7.80/7.46 (bnd_member bnd_null_class X &
% 7.80/7.46 bnd_subclass (bnd_image bnd_successor_relation X) X);
% 7.80/7.46 ALL X XR.
% 7.80/7.46 bnd_image XR X = bnd_range_of (bnd_restrict XR X bnd_universal_class);
% 7.80/7.46 ALL Z. bnd_range_of Z = bnd_domain_of (bnd_inverse Z);
% 7.80/7.46 ALL Y.
% 7.80/7.46 bnd_inverse Y =
% 7.80/7.46 bnd_domain_of (bnd_flip (bnd_cross_product Y bnd_universal_class));
% 7.80/7.46 ALL X Y.
% 7.80/7.46 bnd_member (bnd_ordered_pair X Y) bnd_successor_relation =
% 7.80/7.46 ((bnd_member X bnd_universal_class &
% 7.80/7.46 bnd_member Y bnd_universal_class) &
% 7.80/7.46 bnd_successor X = Y);
% 7.80/7.46 bnd_subclass bnd_successor_relation
% 7.80/7.46 (bnd_cross_product bnd_universal_class bnd_universal_class);
% 7.80/7.46 ALL X. bnd_successor X = bnd_union X (bnd_singleton X);
% 7.80/7.46 ALL X Y Z.
% 7.80/7.46 bnd_member Z (bnd_union X Y) = (bnd_member Z X | bnd_member Z Y);
% 7.80/7.46 ALL X.
% 7.80/7.46 bnd_subclass (bnd_flip X)
% 7.80/7.46 (bnd_cross_product
% 7.80/7.46 (bnd_cross_product bnd_universal_class bnd_universal_class)
% 7.80/7.46 bnd_universal_class);
% 7.80/7.46 ALL U V W X.
% 7.80/7.46 bnd_member (bnd_ordered_pair (bnd_ordered_pair U V) W) (bnd_flip X) =
% 7.80/7.46 (bnd_member (bnd_ordered_pair (bnd_ordered_pair U V) W)
% 7.80/7.46 (bnd_cross_product
% 7.80/7.46 (bnd_cross_product bnd_universal_class bnd_universal_class)
% 7.80/7.46 bnd_universal_class) &
% 7.80/7.46 bnd_member (bnd_ordered_pair (bnd_ordered_pair V U) W) X);
% 7.80/7.46 ALL X.
% 7.80/7.46 bnd_subclass (bnd_rotate X)
% 7.80/7.46 (bnd_cross_product
% 7.80/7.46 (bnd_cross_product bnd_universal_class bnd_universal_class)
% 7.80/7.46 bnd_universal_class);
% 7.80/7.46 ALL X U V W.
% 7.80/7.46 bnd_member (bnd_ordered_pair (bnd_ordered_pair U V) W)
% 7.80/7.46 (bnd_rotate X) =
% 7.80/7.46 (bnd_member (bnd_ordered_pair (bnd_ordered_pair U V) W)
% 7.80/7.46 (bnd_cross_product
% 7.80/7.46 (bnd_cross_product bnd_universal_class bnd_universal_class)
% 7.80/7.46 bnd_universal_class) &
% 7.80/7.46 bnd_member (bnd_ordered_pair (bnd_ordered_pair V W) U) X);
% 7.80/7.46 ALL X Z.
% 7.80/7.46 bnd_member Z (bnd_domain_of X) =
% 7.80/7.46 (bnd_member Z bnd_universal_class &
% 7.80/7.46 ~ bnd_restrict X (bnd_singleton Z) bnd_universal_class =
% 7.80/7.46 bnd_null_class);
% 7.80/7.46 ALL X. ~ bnd_member X bnd_null_class;
% 7.80/7.46 ALL X XR Y.
% 7.80/7.46 bnd_restrict XR X Y = bnd_intersection XR (bnd_cross_product X Y);
% 7.80/7.46 ALL X Z.
% 7.80/7.46 bnd_member Z (bnd_complement X) =
% 7.80/7.46 (bnd_member Z bnd_universal_class & ~ bnd_member Z X);
% 7.80/7.46 ALL X Y Z.
% 7.80/7.46 bnd_member Z (bnd_intersection X Y) =
% 7.80/7.46 (bnd_member Z X & bnd_member Z Y);
% 7.80/7.46 bnd_subclass bnd_element_relation
% 7.80/7.46 (bnd_cross_product bnd_universal_class bnd_universal_class);
% 7.80/7.46 ALL X Y.
% 7.80/7.46 bnd_member (bnd_ordered_pair X Y) bnd_element_relation =
% 7.80/7.46 (bnd_member Y bnd_universal_class & bnd_member X Y);
% 7.80/7.46 ALL X Y Z.
% 7.80/7.46 bnd_member Z (bnd_cross_product X Y) -->
% 7.80/7.46 Z = bnd_ordered_pair (bnd_first Z) (bnd_second Z);
% 7.80/7.46 ALL X Y.
% 7.80/7.46 bnd_member X bnd_universal_class &
% 7.80/7.46 bnd_member Y bnd_universal_class -->
% 7.80/7.46 bnd_first (bnd_ordered_pair X Y) = X &
% 7.80/7.46 bnd_second (bnd_ordered_pair X Y) = Y;
% 7.80/7.46 ALL U V X Y.
% 7.80/7.46 bnd_member (bnd_ordered_pair U V) (bnd_cross_product X Y) =
% 7.80/7.46 (bnd_member U X & bnd_member V Y);
% 7.80/7.46 ALL X Y.
% 7.80/7.46 bnd_ordered_pair X Y =
% 7.80/7.46 bnd_unordered_pair (bnd_singleton X)
% 7.80/7.46 (bnd_unordered_pair X (bnd_singleton Y));
% 7.80/7.46 ALL X. bnd_singleton X = bnd_unordered_pair X X;
% 7.80/7.46 ALL X Y. bnd_member (bnd_unordered_pair X Y) bnd_universal_class;
% 7.80/7.46 ALL U X Y.
% 7.80/7.46 bnd_member U (bnd_unordered_pair X Y) =
% 7.80/7.46 (bnd_member U bnd_universal_class & (U = X | U = Y));
% 7.80/7.46 ALL X Y. (X = Y) = (bnd_subclass X Y & bnd_subclass Y X);
% 7.80/7.46 ALL X. bnd_subclass X bnd_universal_class;
% 7.80/7.46 ALL X Y. bnd_subclass X Y = (ALL U. bnd_member U X --> bnd_member U Y) |]
% 7.80/7.46 ==> True
% 7.80/7.46 Adding axioms...
% 7.80/7.47 Typedef.type_definition_def
% 14.31/13.99 ...done.
% 14.41/14.00 Ground types: ?'b, TPTP_Interpret.ind
% 14.41/14.00 Translating term (sizes: 1, 1) ...
% 18.12/17.70 Invoking SAT solver...
% 18.12/17.70 No model exists.
% 18.12/17.70 Translating term (sizes: 2, 1) ...
% 22.52/22.12 Invoking SAT solver...
% 22.52/22.12 No model exists.
% 22.52/22.12 Translating term (sizes: 1, 2) ...
% 40.66/40.29 Invoking SAT solver...
% 40.66/40.29 No model exists.
% 40.66/40.29 Translating term (sizes: 3, 1) ...
% 47.47/47.08 Invoking SAT solver...
% 47.47/47.08 No model exists.
% 47.47/47.08 Translating term (sizes: 2, 2) ...
% 73.43/72.93 Invoking SAT solver...
% 73.43/72.93 No model exists.
% 73.43/72.93 Translating term (sizes: 1, 3) ...
% 138.03/137.36 Invoking SAT solver...
% 138.03/137.36 No model exists.
% 138.03/137.36 Translating term (sizes: 4, 1) ...
% 152.07/151.33 Invoking SAT solver...
% 152.07/151.33 No model exists.
% 152.07/151.33 Translating term (sizes: 3, 2) ...
% 257.72/256.46 Invoking SAT solver...
% 257.72/256.46 No model exists.
% 257.72/256.46 Translating term (sizes: 2, 3) ...
% 300.08/298.42 /export/starexec/sandbox/solver/lib/scripts/run-polyml-5.5.2: line 82: 11605 CPU time limit exceeded (core dumped) "$ISABELLE_HOME/lib/scripts/feeder" -p -h "$MLTEXT" -t "$MLEXIT" $FEEDER_OPTS
% 300.08/298.42 11606 (core dumped) | { read FPID; "$POLY" -q -i $ML_OPTIONS; RC="$?"; kill -TERM "$FPID"; exit "$RC"; }
% 300.08/298.43 /export/starexec/sandbox/solver/src/HOL/TPTP/lib/Tools/tptp_refute: line 26: 11551 Exit 152 "$ISABELLE_PROCESS" -q -e "use_thy \"/tmp/$SCRATCH\"; exit 1;" HOL-TPTP
% 300.08/298.43 11552 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.$"
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