TSTP Solution File: NUM584+3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM584+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n012.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 : Wed May 29 17:34:09 EDT 2024
% Result : Theorem 0.24s 0.63s
% Output : Proof 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.17 % Problem : NUM584+3 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.18 % Command : do_cvc5 %s %d
% 0.18/0.39 % Computer : n012.cluster.edu
% 0.18/0.39 % Model : x86_64 x86_64
% 0.18/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.39 % Memory : 8042.1875MB
% 0.18/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.39 % CPULimit : 300
% 0.18/0.39 % WCLimit : 300
% 0.18/0.39 % DateTime : Mon May 27 23:22:39 EDT 2024
% 0.18/0.39 % CPUTime :
% 0.24/0.55 %----Proving TF0_NAR, FOF, or CNF
% 0.24/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.24/0.63 % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.Gpc6ycqakF/cvc5---1.0.5_16649.smt2
% 0.24/0.63 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.Gpc6ycqakF/cvc5---1.0.5_16649.smt2
% 0.24/0.63 (assume a0 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) true)))
% 0.24/0.63 (assume a1 (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) true)))
% 0.24/0.63 (assume a2 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (tptp.aElement0 W1))))))
% 0.24/0.63 (assume a3 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (=> (tptp.isFinite0 W0) true))))
% 0.24/0.63 (assume a4 (forall ((W0 $$unsorted)) (= (= W0 tptp.slcrc0) (and (tptp.aSet0 W0) (not (exists ((W1 $$unsorted)) (tptp.aElementOf0 W1 W0)))))))
% 0.24/0.63 (assume a5 (tptp.isFinite0 tptp.slcrc0))
% 0.24/0.63 (assume a6 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (=> (tptp.isCountable0 W0) true))))
% 0.24/0.63 (assume a7 (forall ((W0 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.isCountable0 W0)) (not (tptp.isFinite0 W0)))))
% 0.24/0.63 (assume a8 (forall ((W0 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.isCountable0 W0)) (not (= W0 tptp.slcrc0)))))
% 0.24/0.63 (assume a9 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (= (tptp.aSubsetOf0 W1 W0) (and (tptp.aSet0 W1) (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W1) (tptp.aElementOf0 W2 W0)))))))))
% 0.24/0.63 (assume a10 (forall ((W0 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.isFinite0 W0)) (forall ((W1 $$unsorted)) (=> (tptp.aSubsetOf0 W1 W0) (tptp.isFinite0 W1))))))
% 0.24/0.63 (assume a11 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (tptp.aSubsetOf0 W0 W0))))
% 0.24/0.63 (assume a12 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1)) (=> (and (tptp.aSubsetOf0 W0 W1) (tptp.aSubsetOf0 W1 W0)) (= W0 W1)))))
% 0.24/0.63 (assume a13 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1) (tptp.aSet0 W2)) (=> (and (tptp.aSubsetOf0 W0 W1) (tptp.aSubsetOf0 W1 W2)) (tptp.aSubsetOf0 W0 W2)))))
% 0.24/0.63 (assume a14 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aElement0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtpldt0 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (and (tptp.aElement0 W3) (or (tptp.aElementOf0 W3 W0) (= W3 W1)))))))))))
% 0.24/0.63 (assume a15 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aElement0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtmndt0 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (and (tptp.aElement0 W3) (tptp.aElementOf0 W3 W0) (not (= W3 W1)))))))))))
% 0.24/0.63 (assume a16 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (= (tptp.sdtpldt0 (tptp.sdtmndt0 W0 W1) W1) W0))))))
% 0.24/0.63 (assume a17 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aSet0 W1)) (=> (not (tptp.aElementOf0 W0 W1)) (= (tptp.sdtmndt0 (tptp.sdtpldt0 W1 W0) W0) W1)))))
% 0.24/0.63 (assume a18 (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (forall ((W1 $$unsorted)) (=> (and (tptp.aSet0 W1) (tptp.isCountable0 W1)) (tptp.isCountable0 (tptp.sdtpldt0 W1 W0)))))))
% 0.24/0.63 (assume a19 (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (forall ((W1 $$unsorted)) (=> (and (tptp.aSet0 W1) (tptp.isCountable0 W1)) (tptp.isCountable0 (tptp.sdtmndt0 W1 W0)))))))
% 0.24/0.63 (assume a20 (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (forall ((W1 $$unsorted)) (=> (and (tptp.aSet0 W1) (tptp.isFinite0 W1)) (tptp.isFinite0 (tptp.sdtpldt0 W1 W0)))))))
% 0.24/0.63 (assume a21 (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (forall ((W1 $$unsorted)) (=> (and (tptp.aSet0 W1) (tptp.isFinite0 W1)) (tptp.isFinite0 (tptp.sdtmndt0 W1 W0)))))))
% 0.24/0.63 (assume a22 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0)))
% 0.24/0.63 (assume a23 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0))
% 0.24/0.63 (assume a24 (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (and (tptp.aElementOf0 (tptp.szszuzczcdt0 W0) tptp.szNzAzT0) (not (= (tptp.szszuzczcdt0 W0) tptp.sz00))))))
% 0.24/0.63 (assume a25 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.aElementOf0 W1 tptp.szNzAzT0)) (=> (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1)) (= W0 W1)))))
% 0.24/0.63 (assume a26 (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (or (= W0 tptp.sz00) (exists ((W1 $$unsorted)) (and (tptp.aElementOf0 W1 tptp.szNzAzT0) (= W0 (tptp.szszuzczcdt0 W1))))))))
% 0.24/0.63 (assume a27 (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (not (= W0 (tptp.szszuzczcdt0 W0))))))
% 0.24/0.63 (assume a28 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.aElementOf0 W1 tptp.szNzAzT0)) (=> (tptp.sdtlseqdt0 W0 W1) true))))
% 0.24/0.63 (assume a29 (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.sdtlseqdt0 tptp.sz00 W0))))
% 0.24/0.63 (assume a30 (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (not (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 W0) tptp.sz00)))))
% 0.24/0.63 (assume a31 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.aElementOf0 W1 tptp.szNzAzT0)) (= (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1))))))
% 0.24/0.63 (assume a32 (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.sdtlseqdt0 W0 (tptp.szszuzczcdt0 W0)))))
% 0.24/0.63 (assume a33 (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.sdtlseqdt0 W0 W0))))
% 0.24/0.63 (assume a34 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.aElementOf0 W1 tptp.szNzAzT0)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W0)) (= W0 W1)))))
% 0.24/0.63 (assume a35 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.aElementOf0 W1 tptp.szNzAzT0) (tptp.aElementOf0 W2 tptp.szNzAzT0)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W2)) (tptp.sdtlseqdt0 W0 W2)))))
% 0.24/0.63 (assume a36 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.aElementOf0 W1 tptp.szNzAzT0)) (or (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 W1) W0)))))
% 0.24/0.63 (assume a37 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.aElementOf0 W1 tptp.szNzAzT0)) (=> (tptp.iLess0 W0 W1) true))))
% 0.24/0.63 (assume a38 (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.iLess0 W0 (tptp.szszuzczcdt0 W0)))))
% 0.24/0.63 (assume a39 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (tptp.aElement0 (tptp.sbrdtbr0 W0)))))
% 0.24/0.63 (assume a40 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (= (tptp.aElementOf0 (tptp.sbrdtbr0 W0) tptp.szNzAzT0) (tptp.isFinite0 W0)))))
% 0.24/0.63 (assume a41 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (= (= (tptp.sbrdtbr0 W0) tptp.sz00) (= W0 tptp.slcrc0)))))
% 0.24/0.63 (assume a42 (forall ((W0 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.isFinite0 W0)) (forall ((W1 $$unsorted)) (=> (tptp.aElement0 W1) (=> (not (tptp.aElementOf0 W1 W0)) (= (tptp.sbrdtbr0 (tptp.sdtpldt0 W0 W1)) (tptp.szszuzczcdt0 (tptp.sbrdtbr0 W0)))))))))
% 0.24/0.63 (assume a43 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (and (tptp.isFinite0 W0) (tptp.aElementOf0 W1 W0)) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 (tptp.sdtmndt0 W0 W1))) (tptp.sbrdtbr0 W0)))))))
% 0.24/0.63 (assume a44 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (and (tptp.isFinite0 W0) (tptp.aSubsetOf0 W1 W0)) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 W1) (tptp.sbrdtbr0 W0)))))))
% 0.24/0.63 (assume a45 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aElementOf0 W1 tptp.szNzAzT0)) (=> (and (tptp.isFinite0 W0) (tptp.sdtlseqdt0 W1 (tptp.sbrdtbr0 W0))) (exists ((W2 $$unsorted)) (and (tptp.aSubsetOf0 W2 W0) (= (tptp.sbrdtbr0 W2) W1)))))))
% 0.24/0.63 (assume a46 (forall ((W0 $$unsorted)) (=> (and (tptp.aSubsetOf0 W0 tptp.szNzAzT0) (not (= W0 tptp.slcrc0))) (forall ((W1 $$unsorted)) (= (= W1 (tptp.szmzizndt0 W0)) (and (tptp.aElementOf0 W1 W0) (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W0) (tptp.sdtlseqdt0 W1 W2)))))))))
% 0.24/0.63 (assume a47 (forall ((W0 $$unsorted)) (=> (and (tptp.aSubsetOf0 W0 tptp.szNzAzT0) (tptp.isFinite0 W0) (not (= W0 tptp.slcrc0))) (forall ((W1 $$unsorted)) (= (= W1 (tptp.szmzazxdt0 W0)) (and (tptp.aElementOf0 W1 W0) (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W0) (tptp.sdtlseqdt0 W2 W1)))))))))
% 0.24/0.63 (assume a48 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSubsetOf0 W0 tptp.szNzAzT0) (tptp.aSubsetOf0 W1 tptp.szNzAzT0) (not (= W0 tptp.slcrc0)) (not (= W1 tptp.slcrc0))) (=> (and (tptp.aElementOf0 (tptp.szmzizndt0 W0) W1) (tptp.aElementOf0 (tptp.szmzizndt0 W1) W0)) (= (tptp.szmzizndt0 W0) (tptp.szmzizndt0 W1))))))
% 0.24/0.63 (assume a49 (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (forall ((W1 $$unsorted)) (= (= W1 (tptp.slbdtrb0 W0)) (and (tptp.aSet0 W1) (forall ((W2 $$unsorted)) (= (tptp.aElementOf0 W2 W1) (and (tptp.aElementOf0 W2 tptp.szNzAzT0) (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 W2) W0))))))))))
% 0.24/0.63 (assume a50 (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.isFinite0 (tptp.slbdtrb0 W0)))))
% 0.24/0.63 (assume a51 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0))
% 0.24/0.63 (assume a52 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.aElementOf0 W1 tptp.szNzAzT0)) (= (tptp.aElementOf0 W0 (tptp.slbdtrb0 (tptp.szszuzczcdt0 W1))) (or (tptp.aElementOf0 W0 (tptp.slbdtrb0 W1)) (= W0 W1))))))
% 0.24/0.63 (assume a53 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.aElementOf0 W1 tptp.szNzAzT0)) (= (tptp.sdtlseqdt0 W0 W1) (tptp.aSubsetOf0 (tptp.slbdtrb0 W0) (tptp.slbdtrb0 W1))))))
% 0.24/0.63 (assume a54 (forall ((W0 $$unsorted)) (=> (and (tptp.aSubsetOf0 W0 tptp.szNzAzT0) (tptp.isFinite0 W0)) (exists ((W1 $$unsorted)) (and (tptp.aElementOf0 W1 tptp.szNzAzT0) (tptp.aSubsetOf0 W0 (tptp.slbdtrb0 W1)))))))
% 0.24/0.63 (assume a55 (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (= (tptp.sbrdtbr0 (tptp.slbdtrb0 W0)) W0))))
% 0.24/0.63 (assume a56 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aElementOf0 W1 tptp.szNzAzT0)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.slbdtsldtrb0 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (and (tptp.aSubsetOf0 W3 W0) (= (tptp.sbrdtbr0 W3) W1))))))))))
% 0.24/0.63 (assume a57 (forall ((W0 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.isFinite0 W0)) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 tptp.szNzAzT0) (tptp.isFinite0 (tptp.slbdtsldtrb0 W0 W1)))))))
% 0.24/0.63 (assume a58 (forall ((W0 $$unsorted)) (=> (and (tptp.aSet0 W0) (not (tptp.isFinite0 W0))) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 tptp.szNzAzT0) (not (= (tptp.slbdtsldtrb0 W0 W1) tptp.slcrc0)))))))
% 0.24/0.63 (assume a59 (forall ((W0 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.isCountable0 W0)) (forall ((W1 $$unsorted)) (=> (and (tptp.aElementOf0 W1 tptp.szNzAzT0) (not (= W1 tptp.sz00))) (tptp.isCountable0 (tptp.slbdtsldtrb0 W0 W1)))))))
% 0.24/0.63 (assume a60 (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (forall ((W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aSet0 W1) (tptp.aSet0 W2) (not (= W0 tptp.sz00))) (=> (and (tptp.aSubsetOf0 (tptp.slbdtsldtrb0 W1 W0) (tptp.slbdtsldtrb0 W2 W0)) (not (= (tptp.slbdtsldtrb0 W1 W0) tptp.slcrc0))) (tptp.aSubsetOf0 W1 W2)))))))
% 0.24/0.63 (assume a61 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aElementOf0 W1 tptp.szNzAzT0)) (forall ((W2 $$unsorted)) (=> (and (tptp.aSubsetOf0 W2 (tptp.slbdtsldtrb0 W0 W1)) (tptp.isFinite0 W2)) (exists ((W3 $$unsorted)) (and (tptp.aSubsetOf0 W3 W0) (tptp.isFinite0 W3) (tptp.aSubsetOf0 W2 (tptp.slbdtsldtrb0 W3 W1)))))))))
% 0.24/0.63 (assume a62 (forall ((W0 $$unsorted)) (=> (tptp.aFunction0 W0) true)))
% 0.24/0.63 (assume a63 (forall ((W0 $$unsorted)) (=> (tptp.aFunction0 W0) (tptp.aSet0 (tptp.szDzozmdt0 W0)))))
% 0.24/0.63 (assume a64 (forall ((W0 $$unsorted)) (=> (tptp.aFunction0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 (tptp.szDzozmdt0 W0)) (tptp.aElement0 (tptp.sdtlpdtrp0 W0 W1)))))))
% 0.24/0.63 (assume a65 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aFunction0 W0) (tptp.aElement0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtlbdtrb0 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (and (tptp.aElementOf0 W3 (tptp.szDzozmdt0 W0)) (= (tptp.sdtlpdtrp0 W0 W3) W1))))))))))
% 0.24/0.63 (assume a66 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aFunction0 W0) (tptp.aElement0 W1)) (tptp.aSubsetOf0 (tptp.sdtlbdtrb0 W0 W1) (tptp.szDzozmdt0 W0)))))
% 0.24/0.63 (assume a67 (forall ((W0 $$unsorted)) (=> (tptp.aFunction0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aSubsetOf0 W1 (tptp.szDzozmdt0 W0)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtlcdtrc0 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (exists ((W4 $$unsorted)) (and (tptp.aElementOf0 W4 W1) (= (tptp.sdtlpdtrp0 W0 W4) W3)))))))))))))
% 0.24/0.63 (assume a68 (forall ((W0 $$unsorted)) (=> (tptp.aFunction0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 (tptp.szDzozmdt0 W0)) (tptp.aElementOf0 (tptp.sdtlpdtrp0 W0 W1) (tptp.sdtlcdtrc0 W0 (tptp.szDzozmdt0 W0))))))))
% 0.24/0.63 (assume a69 (forall ((W0 $$unsorted)) (=> (tptp.aFunction0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aSubsetOf0 W1 (tptp.szDzozmdt0 W0)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtexdt0 W0 W1)) (and (tptp.aFunction0 W2) (= (tptp.szDzozmdt0 W2) W1) (forall ((W3 $$unsorted)) (=> (tptp.aElementOf0 W3 W1) (= (tptp.sdtlpdtrp0 W2 W3) (tptp.sdtlpdtrp0 W0 W3))))))))))))
% 0.24/0.63 (assume a70 (forall ((W0 $$unsorted)) (=> (tptp.aFunction0 W0) (forall ((W1 $$unsorted)) (=> (and (tptp.aSubsetOf0 W1 (tptp.szDzozmdt0 W0)) (tptp.isCountable0 W1)) (=> (forall ((W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aElementOf0 W2 (tptp.szDzozmdt0 W0)) (tptp.aElementOf0 W3 (tptp.szDzozmdt0 W0)) (not (= W2 W3))) (not (= (tptp.sdtlpdtrp0 W0 W2) (tptp.sdtlpdtrp0 W0 W3))))) (tptp.isCountable0 (tptp.sdtlcdtrc0 W0 W1))))))))
% 0.24/0.63 (assume a71 (forall ((W0 $$unsorted)) (=> (tptp.aFunction0 W0) (=> (and (tptp.isCountable0 (tptp.szDzozmdt0 W0)) (tptp.isFinite0 (tptp.sdtlcdtrc0 W0 (tptp.szDzozmdt0 W0)))) (and (tptp.aElement0 (tptp.szDzizrdt0 W0)) (tptp.isCountable0 (tptp.sdtlbdtrb0 W0 (tptp.szDzizrdt0 W0))))))))
% 0.24/0.63 (assume a72 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT)))
% 0.24/0.63 (assume a73 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0))
% 0.24/0.63 (assume a74 (and (tptp.aSet0 tptp.xS) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.xS) (tptp.aElementOf0 W0 tptp.szNzAzT0))) (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS)))
% 0.24/0.63 (assume a75 (and (tptp.aFunction0 tptp.xc) (forall ((W0 $$unsorted)) (and (=> (tptp.aElementOf0 W0 (tptp.szDzozmdt0 tptp.xc)) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (tptp.aElementOf0 W1 tptp.xS))) (tptp.aSubsetOf0 W0 tptp.xS) (= (tptp.sbrdtbr0 W0) tptp.xK))) (=> (and (or (and (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (tptp.aElementOf0 W1 tptp.xS)))) (tptp.aSubsetOf0 W0 tptp.xS)) (= (tptp.sbrdtbr0 W0) tptp.xK)) (tptp.aElementOf0 W0 (tptp.szDzozmdt0 tptp.xc))))) (= (tptp.szDzozmdt0 tptp.xc) (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) (tptp.aSet0 (tptp.sdtlcdtrc0 tptp.xc (tptp.szDzozmdt0 tptp.xc))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtlcdtrc0 tptp.xc (tptp.szDzozmdt0 tptp.xc))) (exists ((W1 $$unsorted)) (and (tptp.aElementOf0 W1 (tptp.szDzozmdt0 tptp.xc)) (= (tptp.sdtlpdtrp0 tptp.xc W1) W0))))) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtlcdtrc0 tptp.xc (tptp.szDzozmdt0 tptp.xc))) (tptp.aElementOf0 W0 tptp.xT))) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xc (tptp.szDzozmdt0 tptp.xc)) tptp.xT)))
% 0.24/0.63 (assume a76 (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (forall ((W1 $$unsorted)) (=> (and (or (and (tptp.aSet0 W1) (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W1) (tptp.aElementOf0 W2 tptp.szNzAzT0)))) (tptp.aSubsetOf0 W1 tptp.szNzAzT0)) (tptp.isCountable0 W1)) (forall ((W2 $$unsorted)) (=> (and (tptp.aFunction0 W2) (or (forall ((W3 $$unsorted)) (and (=> (tptp.aElementOf0 W3 (tptp.szDzozmdt0 W2)) (and (or (and (tptp.aSet0 W3) (forall ((W4 $$unsorted)) (=> (tptp.aElementOf0 W4 W3) (tptp.aElementOf0 W4 W1)))) (tptp.aSubsetOf0 W3 W1)) (= (tptp.sbrdtbr0 W3) W0))) (=> (and (tptp.aSet0 W3) (forall ((W4 $$unsorted)) (=> (tptp.aElementOf0 W4 W3) (tptp.aElementOf0 W4 W1))) (tptp.aSubsetOf0 W3 W1) (= (tptp.sbrdtbr0 W3) W0)) (tptp.aElementOf0 W3 (tptp.szDzozmdt0 W2))))) (= (tptp.szDzozmdt0 W2) (tptp.slbdtsldtrb0 W1 W0))) (=> (and (tptp.aSet0 (tptp.sdtlcdtrc0 W2 (tptp.szDzozmdt0 W2))) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 (tptp.sdtlcdtrc0 W2 (tptp.szDzozmdt0 W2))) (exists ((W4 $$unsorted)) (and (tptp.aElementOf0 W4 (tptp.szDzozmdt0 W2)) (= (tptp.sdtlpdtrp0 W2 W4) W3)))))) (or (forall ((W3 $$unsorted)) (=> (tptp.aElementOf0 W3 (tptp.sdtlcdtrc0 W2 (tptp.szDzozmdt0 W2))) (tptp.aElementOf0 W3 tptp.xT))) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 W2 (tptp.szDzozmdt0 W2)) tptp.xT)))) (=> (tptp.iLess0 W0 tptp.xK) (exists ((W3 $$unsorted)) (and (tptp.aElementOf0 W3 tptp.xT) (exists ((W4 $$unsorted)) (and (tptp.aSet0 W4) (forall ((W5 $$unsorted)) (=> (tptp.aElementOf0 W5 W4) (tptp.aElementOf0 W5 W1))) (tptp.aSubsetOf0 W4 W1) (tptp.isCountable0 W4) (forall ((W5 $$unsorted)) (=> (or (and (or (and (tptp.aSet0 W5) (forall ((W6 $$unsorted)) (=> (tptp.aElementOf0 W6 W5) (tptp.aElementOf0 W6 W4)))) (tptp.aSubsetOf0 W5 W4)) (= (tptp.sbrdtbr0 W5) W0)) (tptp.aElementOf0 W5 (tptp.slbdtsldtrb0 W4 W0))) (= (tptp.sdtlpdtrp0 W2 W5) W3)))))))))))))))
% 0.24/0.63 (assume a77 (not (= tptp.xK tptp.sz00)))
% 0.24/0.63 (assume a78 (not (= tptp.xK tptp.sz00)))
% 0.24/0.63 (assume a79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK)))
% 0.24/0.63 (assume a80 (and (tptp.aFunction0 tptp.xN) (= (tptp.szDzozmdt0 tptp.xN) tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (=> (and (or (and (tptp.aSet0 (tptp.sdtlpdtrp0 tptp.xN W0)) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 (tptp.sdtlpdtrp0 tptp.xN W0)) (tptp.aElementOf0 W1 tptp.szNzAzT0)))) (tptp.aSubsetOf0 (tptp.sdtlpdtrp0 tptp.xN W0) tptp.szNzAzT0)) (tptp.isCountable0 (tptp.sdtlpdtrp0 tptp.xN W0))) (and (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN W0)) (tptp.sdtlpdtrp0 tptp.xN W0)) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 (tptp.sdtlpdtrp0 tptp.xN W0)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN W0)) W1))) (tptp.aSet0 (tptp.sdtmndt0 (tptp.sdtlpdtrp0 tptp.xN W0) (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN W0)))) (forall ((W1 $$unsorted)) (= (tptp.aElementOf0 W1 (tptp.sdtmndt0 (tptp.sdtlpdtrp0 tptp.xN W0) (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN W0)))) (and (tptp.aElement0 W1) (tptp.aElementOf0 W1 (tptp.sdtlpdtrp0 tptp.xN W0)) (not (= W1 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN W0))))))) (tptp.aSet0 (tptp.sdtlpdtrp0 tptp.xN (tptp.szszuzczcdt0 W0))) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 (tptp.sdtlpdtrp0 tptp.xN (tptp.szszuzczcdt0 W0))) (tptp.aElementOf0 W1 (tptp.sdtmndt0 (tptp.sdtlpdtrp0 tptp.xN W0) (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN W0)))))) (tptp.aSubsetOf0 (tptp.sdtlpdtrp0 tptp.xN (tptp.szszuzczcdt0 W0)) (tptp.sdtmndt0 (tptp.sdtlpdtrp0 tptp.xN W0) (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN W0)))) (tptp.isCountable0 (tptp.sdtlpdtrp0 tptp.xN (tptp.szszuzczcdt0 W0)))))))))
% 0.24/0.63 (assume a81 (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (and (tptp.aSet0 (tptp.sdtlpdtrp0 tptp.xN W0)) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 (tptp.sdtlpdtrp0 tptp.xN W0)) (tptp.aElementOf0 W1 tptp.szNzAzT0))) (tptp.aSubsetOf0 (tptp.sdtlpdtrp0 tptp.xN W0) tptp.szNzAzT0) (tptp.isCountable0 (tptp.sdtlpdtrp0 tptp.xN W0))))))
% 0.24/0.63 (assume a82 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.aElementOf0 W1 tptp.szNzAzT0)) (=> (tptp.sdtlseqdt0 W1 W0) (and (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 (tptp.sdtlpdtrp0 tptp.xN W0)) (tptp.aElementOf0 W2 (tptp.sdtlpdtrp0 tptp.xN W1)))) (tptp.aSubsetOf0 (tptp.sdtlpdtrp0 tptp.xN W0) (tptp.sdtlpdtrp0 tptp.xN W1)))))))
% 0.24/0.63 (assume a83 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.aElementOf0 W1 tptp.szNzAzT0) (not (= W0 W1))) (not (=> (and (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN W0)) (tptp.sdtlpdtrp0 tptp.xN W0)) (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 (tptp.sdtlpdtrp0 tptp.xN W0)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN W0)) W2)))) (or (and (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN W0)) (tptp.sdtlpdtrp0 tptp.xN W1)) (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 (tptp.sdtlpdtrp0 tptp.xN W1)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN W0)) W2)))) (= (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN W0)) (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN W1)))))))))
% 0.24/0.63 (assume a84 (tptp.aElementOf0 tptp.xi tptp.szNzAzT0))
% 0.24/0.63 (assume a85 (and (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))) (tptp.aSet0 (tptp.sdtmndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi) (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtmndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi) (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (not (= W0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))))) (tptp.aSet0 tptp.xQ) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.xQ) (tptp.aElementOf0 W0 (tptp.sdtmndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi) (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))))) (tptp.aSubsetOf0 tptp.xQ (tptp.sdtmndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi) (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (= (tptp.sbrdtbr0 tptp.xQ) tptp.xk) (tptp.aElementOf0 tptp.xQ (tptp.slbdtsldtrb0 (tptp.sdtmndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi) (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xk))))
% 0.24/0.63 (assume a86 (and (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))) (tptp.aSet0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= W0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))))) (= (tptp.sbrdtbr0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) tptp.xK)))
% 0.24/0.63 (assume a87 (and (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))) (tptp.aSet0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= W0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))))) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS)))
% 0.24/0.63 (assume a88 (not (=> (and (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0)))) (=> (and (tptp.aSet0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= W0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))))))) (or (and (or (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS)) (= (tptp.sbrdtbr0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) tptp.xK)) (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.slbdtsldtrb0 tptp.xS tptp.xK)))))))
% 0.24/0.63 (assume a89 true)
% 0.24/0.63 (step t1 (cl (not (= (not (=> (and (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0)))) (=> (and (tptp.aSet0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= W0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))))))) (or (and (or (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS)) (= (tptp.sbrdtbr0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) tptp.xK)) (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.slbdtsldtrb0 tptp.xS tptp.xK)))))) (not (=> (and (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0)))) (=> (and (tptp.aSet0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0)))))) (or (and (or (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS)) (= tptp.xK (tptp.sbrdtbr0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))))) (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.slbdtsldtrb0 tptp.xS tptp.xK)))))))) (not (not (=> (and (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0)))) (=> (and (tptp.aSet0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= W0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))))))) (or (and (or (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS)) (= (tptp.sbrdtbr0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) tptp.xK)) (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.slbdtsldtrb0 tptp.xS tptp.xK))))))) (not (=> (and (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0)))) (=> (and (tptp.aSet0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0)))))) (or (and (or (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS)) (= tptp.xK (tptp.sbrdtbr0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))))) (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.slbdtsldtrb0 tptp.xS tptp.xK))))))) :rule equiv_pos2)
% 0.24/0.63 (step t2 (cl (= (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) :rule refl)
% 0.24/0.63 (step t3 (cl (= (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))) (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))))) :rule all_simplify)
% 0.24/0.63 (step t4 (cl (= (and (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0)))) (and (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0)))))) :rule cong :premises (t2 t3))
% 0.24/0.63 (step t5 (cl (= (tptp.aSet0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (tptp.aSet0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))))) :rule refl)
% 0.24/0.63 (anchor :step t6 :args ((W0 $$unsorted) (:= W0 W0)))
% 0.24/0.63 (step t6.t1 (cl (= W0 W0)) :rule refl)
% 0.24/0.63 (step t6.t2 (cl (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))))) :rule refl)
% 0.24/0.63 (step t6.t3 (cl (= (tptp.aElement0 W0) (tptp.aElement0 W0))) :rule refl)
% 0.24/0.63 (step t6.t4 (cl (= (tptp.aElementOf0 W0 tptp.xQ) (tptp.aElementOf0 W0 tptp.xQ))) :rule refl)
% 0.24/0.63 (step t6.t5 (cl (= (= W0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (= (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))) :rule all_simplify)
% 0.24/0.63 (step t6.t6 (cl (= (or (tptp.aElementOf0 W0 tptp.xQ) (= W0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (or (tptp.aElementOf0 W0 tptp.xQ) (= (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0)))) :rule cong :premises (t6.t4 t6.t5))
% 0.24/0.63 (step t6.t7 (cl (= (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= W0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))))) :rule cong :premises (t6.t3 t6.t6))
% 0.24/0.63 (step t6.t8 (cl (= (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= W0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))))) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0)))))) :rule cong :premises (t6.t2 t6.t7))
% 0.24/0.63 (step t6 (cl (= (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= W0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))))))) :rule bind)
% 0.24/0.63 (step t7 (cl (= (and (tptp.aSet0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= W0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))))))) (and (tptp.aSet0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0)))))))) :rule cong :premises (t5 t6))
% 0.24/0.63 (step t8 (cl (= (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (tptp.aElementOf0 W0 tptp.xS))) (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (tptp.aElementOf0 W0 tptp.xS))))) :rule all_simplify)
% 0.24/0.63 (step t9 (cl (= (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS))) :rule refl)
% 0.24/0.63 (step t10 (cl (= (or (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS)) (or (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS)))) :rule cong :premises (t8 t9))
% 0.24/0.63 (step t11 (cl (= (= (tptp.sbrdtbr0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) tptp.xK) (= tptp.xK (tptp.sbrdtbr0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))))) :rule all_simplify)
% 0.24/0.63 (step t12 (cl (= (and (or (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS)) (= (tptp.sbrdtbr0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) tptp.xK)) (and (or (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS)) (= tptp.xK (tptp.sbrdtbr0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))))))) :rule cong :premises (t10 t11))
% 0.24/0.63 (step t13 (cl (= (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.slbdtsldtrb0 tptp.xS tptp.xK)))) :rule refl)
% 0.24/0.63 (step t14 (cl (= (or (and (or (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS)) (= (tptp.sbrdtbr0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) tptp.xK)) (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.slbdtsldtrb0 tptp.xS tptp.xK))) (or (and (or (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS)) (= tptp.xK (tptp.sbrdtbr0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))))) (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.slbdtsldtrb0 tptp.xS tptp.xK))))) :rule cong :premises (t12 t13))
% 0.24/0.63 (step t15 (cl (= (=> (and (tptp.aSet0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= W0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))))))) (or (and (or (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS)) (= (tptp.sbrdtbr0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) tptp.xK)) (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.slbdtsldtrb0 tptp.xS tptp.xK)))) (=> (and (tptp.aSet0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0)))))) (or (and (or (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS)) (= tptp.xK (tptp.sbrdtbr0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))))) (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.slbdtsldtrb0 tptp.xS tptp.xK)))))) :rule cong :premises (t7 t14))
% 0.24/0.63 (step t16 (cl (= (=> (and (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0)))) (=> (and (tptp.aSet0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= W0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))))))) (or (and (or (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS)) (= (tptp.sbrdtbr0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) tptp.xK)) (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.slbdtsldtrb0 tptp.xS tptp.xK))))) (=> (and (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0)))) (=> (and (tptp.aSet0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0)))))) (or (and (or (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS)) (= tptp.xK (tptp.sbrdtbr0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))))) (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.slbdtsldtrb0 tptp.xS tptp.xK))))))) :rule cong :premises (t4 t15))
% 0.24/0.63 (step t17 (cl (= (not (=> (and (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0)))) (=> (and (tptp.aSet0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= W0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))))))) (or (and (or (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS)) (= (tptp.sbrdtbr0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) tptp.xK)) (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.slbdtsldtrb0 tptp.xS tptp.xK)))))) (not (=> (and (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0)))) (=> (and (tptp.aSet0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0)))))) (or (and (or (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS)) (= tptp.xK (tptp.sbrdtbr0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))))) (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.slbdtsldtrb0 tptp.xS tptp.xK)))))))) :rule cong :premises (t16))
% 0.24/0.63 (step t18 (cl (not (=> (and (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0)))) (=> (and (tptp.aSet0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0)))))) (or (and (or (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS)) (= tptp.xK (tptp.sbrdtbr0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))))) (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.slbdtsldtrb0 tptp.xS tptp.xK))))))) :rule resolution :premises (t1 t17 a88))
% 0.24/0.63 (step t19 (cl (not (=> (and (tptp.aSet0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0)))))) (or (and (or (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS)) (= tptp.xK (tptp.sbrdtbr0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))))) (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.slbdtsldtrb0 tptp.xS tptp.xK)))))) :rule not_implies2 :premises (t18))
% 0.24/0.63 (step t20 (cl (not (or (and (or (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS)) (= tptp.xK (tptp.sbrdtbr0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))))) (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.slbdtsldtrb0 tptp.xS tptp.xK))))) :rule not_implies2 :premises (t19))
% 0.24/0.63 (step t21 (cl (not (and (or (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS)) (= tptp.xK (tptp.sbrdtbr0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))))))) :rule not_or :premises (t20))
% 0.24/0.63 (step t22 (cl (not (or (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS))) (not (= tptp.xK (tptp.sbrdtbr0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))))) :rule not_and :premises (t21))
% 0.24/0.63 (step t23 (cl (not (= tptp.xK (tptp.sbrdtbr0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))))) (not (or (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS)))) :rule reordering :premises (t22))
% 0.24/0.63 (step t24 (cl (or (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS)) (not (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (tptp.aElementOf0 W0 tptp.xS))))) :rule or_neg)
% 0.24/0.63 (step t25 (cl (= (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (tptp.aElementOf0 W0 tptp.xS))) (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (tptp.aElementOf0 W0 tptp.xS))))) :rule hole :args ((forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (tptp.aElementOf0 W0 tptp.xS))) (= W0 W0)))
% 0.24/0.63 (step t26 (cl (not (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (tptp.aElementOf0 W0 tptp.xS)))) (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (tptp.aElementOf0 W0 tptp.xS)))) :rule equiv1 :premises (t25))
% 0.24/0.63 (step t27 (cl (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (tptp.aElementOf0 W0 tptp.xS))) (not (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (tptp.aElementOf0 W0 tptp.xS))))) :rule reordering :premises (t26))
% 0.24/0.63 (step t28 (cl (not (= (and (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))) (tptp.aSet0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= W0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))))) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS)) (and (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))) (tptp.aSet0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))))) (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS)))) (not (and (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))) (tptp.aSet0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= W0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))))) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS))) (and (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))) (tptp.aSet0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))))) (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS))) :rule equiv_pos2)
% 0.24/0.63 (step t29 (cl (= (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))) (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))))) :rule all_simplify)
% 0.24/0.63 (anchor :step t30 :args ((W0 $$unsorted) (:= W0 W0)))
% 0.24/0.63 (step t30.t1 (cl (= W0 W0)) :rule refl)
% 0.24/0.63 (step t30.t2 (cl (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))))) :rule refl)
% 0.24/0.63 (step t30.t3 (cl (= (tptp.aElement0 W0) (tptp.aElement0 W0))) :rule refl)
% 0.24/0.63 (step t30.t4 (cl (= (tptp.aElementOf0 W0 tptp.xQ) (tptp.aElementOf0 W0 tptp.xQ))) :rule refl)
% 0.24/0.63 (step t30.t5 (cl (= (= W0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (= (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))) :rule all_simplify)
% 0.24/0.63 (step t30.t6 (cl (= (or (tptp.aElementOf0 W0 tptp.xQ) (= W0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (or (tptp.aElementOf0 W0 tptp.xQ) (= (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0)))) :rule cong :premises (t30.t4 t30.t5))
% 0.24/0.63 (step t30.t7 (cl (= (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= W0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))))) :rule cong :premises (t30.t3 t30.t6))
% 0.24/0.63 (step t30.t8 (cl (= (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= W0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))))) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0)))))) :rule cong :premises (t30.t2 t30.t7))
% 0.24/0.63 (step t30 (cl (= (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= W0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))))))) :rule bind)
% 0.24/0.63 (step t31 (cl (= (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (tptp.aElementOf0 W0 tptp.xS))) (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (tptp.aElementOf0 W0 tptp.xS))))) :rule all_simplify)
% 0.24/0.63 (step t32 (cl (= (and (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))) (tptp.aSet0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= W0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))))) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS)) (and (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))) (tptp.aSet0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))))) (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS)))) :rule cong :premises (t2 t29 t5 t30 t31 t9))
% 0.24/0.63 (step t33 (cl (and (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))) (tptp.aSet0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))))) (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS))) :rule resolution :premises (t28 t32 a87))
% 0.24/0.63 (step t34 (cl (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (tptp.aElementOf0 W0 tptp.xS)))) :rule and :premises (t33))
% 0.24/0.63 (step t35 (cl (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (tptp.aElementOf0 W0 tptp.xS)))) :rule resolution :premises (t27 t34))
% 0.24/0.63 (step t36 (cl (or (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) tptp.xS))) :rule resolution :premises (t24 t35))
% 0.24/0.63 (step t37 (cl (not (= (and (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))) (tptp.aSet0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= W0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))))) (= (tptp.sbrdtbr0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) tptp.xK)) (and (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))) (tptp.aSet0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))))) (= tptp.xK (tptp.sbrdtbr0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))))))) (not (and (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))) (tptp.aSet0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= W0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))))) (= (tptp.sbrdtbr0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) tptp.xK))) (and (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))) (tptp.aSet0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))))) (= tptp.xK (tptp.sbrdtbr0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))))) :rule equiv_pos2)
% 0.24/0.63 (step t38 (cl (= (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))) (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))))) :rule all_simplify)
% 0.24/0.63 (anchor :step t39 :args ((W0 $$unsorted) (:= W0 W0)))
% 0.24/0.63 (step t39.t1 (cl (= W0 W0)) :rule refl)
% 0.24/0.63 (step t39.t2 (cl (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))))) :rule refl)
% 0.24/0.63 (step t39.t3 (cl (= (tptp.aElement0 W0) (tptp.aElement0 W0))) :rule refl)
% 0.24/0.63 (step t39.t4 (cl (= (tptp.aElementOf0 W0 tptp.xQ) (tptp.aElementOf0 W0 tptp.xQ))) :rule refl)
% 0.24/0.63 (step t39.t5 (cl (= (= W0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (= (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))) :rule all_simplify)
% 0.24/0.63 (step t39.t6 (cl (= (or (tptp.aElementOf0 W0 tptp.xQ) (= W0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (or (tptp.aElementOf0 W0 tptp.xQ) (= (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0)))) :rule cong :premises (t39.t4 t39.t5))
% 0.24/0.63 (step t39.t7 (cl (= (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= W0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))))) :rule cong :premises (t39.t3 t39.t6))
% 0.24/0.63 (step t39.t8 (cl (= (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= W0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))))) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0)))))) :rule cong :premises (t39.t2 t39.t7))
% 0.24/0.63 (step t39 (cl (= (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= W0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))))))) :rule bind)
% 0.24/0.63 (step t40 (cl (= (and (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))) (tptp.aSet0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= W0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))))) (= (tptp.sbrdtbr0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) tptp.xK)) (and (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))) (tptp.aSet0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))))) (= tptp.xK (tptp.sbrdtbr0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))))))) :rule cong :premises (t2 t38 t5 t39 t11))
% 0.24/0.63 (step t41 (cl (and (tptp.aElementOf0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))) (tptp.aSet0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (and (tptp.aElement0 W0) (or (tptp.aElementOf0 W0 tptp.xQ) (= (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)) W0))))) (= tptp.xK (tptp.sbrdtbr0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))))) :rule resolution :premises (t37 t40 a86))
% 0.24/0.63 (step t42 (cl (= tptp.xK (tptp.sbrdtbr0 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))))) :rule and :premises (t41))
% 0.24/0.63 (step t43 (cl) :rule resolution :premises (t23 t36 t42))
% 0.24/0.63
% 0.24/0.63 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.Gpc6ycqakF/cvc5---1.0.5_16649.smt2
% 0.24/0.63 % cvc5---1.0.5 exiting
% 0.24/0.63 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------