TSTP Solution File: TOP003-2 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : TOP003-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n007.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 : 300s
% DateTime : Fri Sep 30 01:55:47 EDT 2022
% Result : Satisfiable 0.15s 0.44s
% Output : Model 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : TOP003-2 : TPTP v8.1.0. Released v1.0.0.
% 0.05/0.10 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.09/0.30 % Computer : n007.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Aug 29 09:45:00 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.09/0.30 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.09/0.30 Usage: tptp [options] [-file:]file
% 0.09/0.30 -h, -? prints this message.
% 0.09/0.30 -smt2 print SMT-LIB2 benchmark.
% 0.09/0.30 -m, -model generate model.
% 0.09/0.30 -p, -proof generate proof.
% 0.09/0.30 -c, -core generate unsat core of named formulas.
% 0.09/0.30 -st, -statistics display statistics.
% 0.09/0.30 -t:timeout set timeout (in second).
% 0.09/0.30 -smt2status display status in smt2 format instead of SZS.
% 0.09/0.30 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.09/0.30 -<param>:<value> configuration parameter and value.
% 0.09/0.30 -o:<output-file> file to place output in.
% 0.15/0.44 % SZS status Satisfiable
% 0.15/0.44 % SZS output start Model
% 0.15/0.44 tff(tptp_fun__i_val_1_type, type, (
% 0.15/0.44 tptp_fun__i_val_1: $i)).
% 0.15/0.44 tff(f_type, type, (
% 0.15/0.44 f: $i)).
% 0.15/0.44 tff(tptp_fun__i_val_0_type, type, (
% 0.15/0.44 tptp_fun__i_val_0: $i)).
% 0.15/0.44 tff(cx_type, type, (
% 0.15/0.44 cx: $i)).
% 0.15/0.44 tff(tptp_fun__i_val_3_type, type, (
% 0.15/0.44 tptp_fun__i_val_3: $i)).
% 0.15/0.44 tff(tptp_fun__i_val_7_type, type, (
% 0.15/0.44 tptp_fun__i_val_7: $i)).
% 0.15/0.44 tff(tptp_fun__i_val_8_type, type, (
% 0.15/0.44 tptp_fun__i_val_8: $i)).
% 0.15/0.44 tff(tptp_fun__i_val_10_type, type, (
% 0.15/0.44 tptp_fun__i_val_10: $i)).
% 0.15/0.44 tff(tptp_fun__i_val_11_type, type, (
% 0.15/0.44 tptp_fun__i_val_11: $i)).
% 0.15/0.44 tff(tptp_fun__i_val_5_type, type, (
% 0.15/0.44 tptp_fun__i_val_5: $i)).
% 0.15/0.44 tff(tptp_fun__i_val_6_type, type, (
% 0.15/0.44 tptp_fun__i_val_6: $i)).
% 0.15/0.44 tff(tptp_fun__i_val_9_type, type, (
% 0.15/0.44 tptp_fun__i_val_9: $i)).
% 0.15/0.44 tff(tptp_fun__i_val_4_type, type, (
% 0.15/0.44 tptp_fun__i_val_4: $i)).
% 0.15/0.44 tff(element_of_set_type, type, (
% 0.15/0.44 element_of_set: ( $i * $i ) > $o)).
% 0.15/0.44 tff(subset_sets_type, type, (
% 0.15/0.44 subset_sets: ( $i * $i ) > $o)).
% 0.15/0.44 tff(tptp_fun__i_val_2_type, type, (
% 0.15/0.44 tptp_fun__i_val_2: $i)).
% 0.15/0.44 tff(element_of_collection_type, type, (
% 0.15/0.44 element_of_collection: ( $i * $i ) > $o)).
% 0.15/0.44 tff(f1_type, type, (
% 0.15/0.44 f1: ( $i * $i ) > $i)).
% 0.15/0.44 tff(top_of_basis_type, type, (
% 0.15/0.44 top_of_basis: $i > $i)).
% 0.15/0.44 tff(union_of_members_type, type, (
% 0.15/0.44 union_of_members: $i > $i)).
% 0.15/0.44 tff(equal_sets_type, type, (
% 0.15/0.44 equal_sets: ( $i * $i ) > $o)).
% 0.15/0.44 tff(basis_type, type, (
% 0.15/0.44 basis: ( $i * $i ) > $o)).
% 0.15/0.44 tff(f11_type, type, (
% 0.15/0.44 f11: ( $i * $i ) > $i)).
% 0.15/0.44 tff(formula1, axiom,
% 0.15/0.44 f = $i!val!1).
% 0.15/0.44 tff(formula2, axiom,
% 0.15/0.44 cx = $i!val!0).
% 0.15/0.44 tff(formula3, axiom,
% 0.15/0.44 ![X0: $i, X1: $i] : (element_of_set(X0, X1) <=> (((ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!4), $i!val!4, $i!val!9)) = $i!val!6) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!8)) | ((ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!4), $i!val!4, $i!val!9)) = $i!val!9) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!7)) | ((ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!4), $i!val!4, $i!val!9)) = $i!val!9) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!10)) | ((ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!4), $i!val!4, $i!val!9)) = $i!val!6) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!11)) | ((ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!4), $i!val!4, $i!val!9)) = $i!val!9) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!3)) | ((ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!4), $i!val!4, $i!val!9)) = $i!val!4) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!7)) | ((ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!4), $i!val!4, $i!val!9)) = $i!val!4) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!0)) | ((ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!4), $i!val!4, $i!val!9)) = $i!val!6) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!5)) | ((ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!4), $i!val!4, $i!val!9)) = $i!val!6) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!0)) | ((ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!4), $i!val!4, $i!val!9)) = $i!val!9) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!0)) | ((ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!4), $i!val!4, $i!val!9)) = $i!val!4) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!3)) | ((ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!4), $i!val!4, $i!val!9)) = $i!val!6) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!3))))).
% 0.15/0.45 tff(formula4, axiom,
% 0.15/0.45 ![X0: $i, X1: $i] : (subset_sets(X0, X1) <=> (((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!10) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!0)) | ((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!7) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!0)) | ((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!8) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!8)) | ((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!7) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!7)) | ((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!7) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!3)) | ((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!8) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!5)) | ((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!0) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!3)) | ((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!11) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!11)) | ((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!3) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!3)) | ((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!10) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!10)) | ((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!0) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!0)) | ((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!5) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!5)) | ((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!10) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!3)) | ((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!3) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!0)) | ((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!8) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!3)) | ((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!8) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!0)) | ((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!11) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!5))))).
% 0.15/0.45 tff(formula5, axiom,
% 0.15/0.45 ![X0: $i, X1: $i] : (element_of_collection(X0, X1) <=> (((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!5) & (ite_t((X0 = $i!val!2), $i!val!2, $i!val!1) = $i!val!2)) | ((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!11) & (ite_t((X0 = $i!val!2), $i!val!2, $i!val!1) = $i!val!2)) | ((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!8) & (ite_t((X0 = $i!val!2), $i!val!2, $i!val!1) = $i!val!1)) | ((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!8) & (ite_t((X0 = $i!val!2), $i!val!2, $i!val!1) = $i!val!2)) | ((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!10) & (ite_t((X0 = $i!val!2), $i!val!2, $i!val!1) = $i!val!1)) | ((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!7) & (ite_t((X0 = $i!val!2), $i!val!2, $i!val!1) = $i!val!1))))).
% 0.15/0.45 tff(formula6, axiom,
% 0.15/0.45 ![X0: $i, X1: $i] : (f1(X0, X1) = ite_t(((ite_t((X1 = $i!val!2), $i!val!2, $i!val!1) = $i!val!2) & (ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!4), $i!val!4, $i!val!9)) = $i!val!6)), $i!val!11, ite_t(((ite_t((X1 = $i!val!2), $i!val!2, $i!val!1) = $i!val!1) & (ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!4), $i!val!4, $i!val!9)) = $i!val!9)), $i!val!10, ite_t(((ite_t((X1 = $i!val!2), $i!val!2, $i!val!1) = $i!val!1) & (ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!4), $i!val!4, $i!val!9)) = $i!val!6)), $i!val!8, ite_t(((ite_t((X1 = $i!val!2), $i!val!2, $i!val!1) = $i!val!1) & (ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!4), $i!val!4, $i!val!9)) = $i!val!4)), $i!val!7, $i!val!0)))))).
% 0.15/0.45 tff(formula7, axiom,
% 0.15/0.45 ![X0: $i] : (top_of_basis(X0) = $i!val!2)).
% 0.15/0.45 tff(formula8, axiom,
% 0.15/0.45 ![X0: $i] : (union_of_members(X0) = ite_t((ite_t((X0 = $i!val!2), $i!val!2, $i!val!1) = $i!val!2), $i!val!5, ite_t((ite_t((X0 = $i!val!2), $i!val!2, $i!val!1) = $i!val!1), $i!val!3, $i!val!0)))).
% 0.15/0.46 tff(formula9, axiom,
% 0.15/0.46 ![X0: $i, X1: $i] : (equal_sets(X0, X1) <=> ((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!3) & (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!0)))).
% 0.15/0.46 tff(formula10, axiom,
% 0.15/0.46 ![X0: $i, X1: $i] : (basis(X0, X1) <=> ((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!0) & (ite_t((X0 = $i!val!2), $i!val!2, $i!val!1) = $i!val!1)))).
% 0.15/0.46 tff(formula11, axiom,
% 0.15/0.46 ![X0: $i, X1: $i] : (f11(X0, X1) = ite_t((ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!7), $i!val!9, ite_t((ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!3), $i!val!6, ite_t((ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!8), $i!val!8, $i!val!7)))))) = $i!val!0), $i!val!4, $i!val!0))))).
% 0.15/0.46 % SZS output end Model
%------------------------------------------------------------------------------