%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : RNG059+2 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n019.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 17:41:38 EDT 2024

% Result   : Theorem 1.00s 1.19s
% Output   : Proof 1.00s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15  % Problem    : RNG059+2 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.16  % Command    : do_cvc5 %s %d
% 0.15/0.37  % Computer : n019.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Sat May 25 21:28:24 EDT 2024
% 0.15/0.38  % CPUTime    : 
% 0.22/0.55  %----Proving TF0_NAR, FOF, or CNF
% 1.00/1.19  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.00/1.19  % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.isxrMpf9Va/cvc5---1.0.5_26430.smt2
% 1.00/1.19  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.isxrMpf9Va/cvc5---1.0.5_26430.smt2
% 1.00/1.19  (assume a0 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) true)))
% 1.00/1.19  (assume a1 (tptp.aNaturalNumber0 tptp.sz00))
% 1.00/1.19  (assume a2 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (tptp.aNaturalNumber0 (tptp.szszuzczcdt0 W0)) (not (= (tptp.szszuzczcdt0 W0) tptp.sz00))))))
% 1.00/1.19  (assume a3 (forall ((W0 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (not (= W0 tptp.sz00))) (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (= W0 (tptp.szszuzczcdt0 W1)))))))
% 1.00/1.19  (assume a4 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1)) (= W0 W1)))))
% 1.00/1.19  (assume a5 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (tptp.iLess0 W0 W1) true))))
% 1.00/1.19  (assume a6 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (tptp.iLess0 W0 (tptp.szszuzczcdt0 W0)))))
% 1.00/1.19  (assume a7 (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) true)))
% 1.00/1.19  (assume a8 (tptp.aScalar0 tptp.sz0z00))
% 1.00/1.19  (assume a9 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (tptp.aScalar0 (tptp.sdtpldt0 W0 W1)))))
% 1.00/1.19  (assume a10 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (tptp.aScalar0 (tptp.sdtasdt0 W0 W1)))))
% 1.00/1.19  (assume a11 (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.aScalar0 (tptp.smndt0 W0)))))
% 1.00/1.19  (assume a12 (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz0z00) W0) (= (tptp.sdtpldt0 tptp.sz0z00 W0) W0) (= (tptp.sdtasdt0 W0 tptp.sz0z00) tptp.sz0z00) (= (tptp.sdtasdt0 tptp.sz0z00 W0) tptp.sz0z00) (= (tptp.sdtpldt0 W0 (tptp.smndt0 W0)) tptp.sz0z00) (= (tptp.sdtpldt0 (tptp.smndt0 W0) W0) tptp.sz0z00) (= (tptp.smndt0 (tptp.smndt0 W0)) W0) (= (tptp.smndt0 tptp.sz0z00) tptp.sz0z00)))))
% 1.00/1.19  (assume a13 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0))))))
% 1.00/1.19  (assume a14 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2)) (and (= (tptp.sdtasdt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2))) (= (tptp.sdtasdt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W2) (tptp.sdtasdt0 W1 W2)))))))
% 1.00/1.19  (assume a15 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2) (tptp.aScalar0 W3)) (= (tptp.sdtasdt0 (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W2 W3)) (tptp.sdtpldt0 (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W2) (tptp.sdtasdt0 W0 W3)) (tptp.sdtpldt0 (tptp.sdtasdt0 W1 W2) (tptp.sdtasdt0 W1 W3)))))))
% 1.00/1.19  (assume a16 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (and (= (tptp.sdtasdt0 W0 (tptp.smndt0 W1)) (tptp.smndt0 (tptp.sdtasdt0 W0 W1))) (= (tptp.sdtasdt0 (tptp.smndt0 W0) W1) (tptp.smndt0 (tptp.sdtasdt0 W0 W1)))))))
% 1.00/1.19  (assume a17 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1)))))
% 1.00/1.19  (assume a18 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (=> (tptp.sdtlseqdt0 W0 W1) true))))
% 1.00/1.19  (assume a19 (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.sdtlseqdt0 W0 W0))))
% 1.00/1.19  (assume a20 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W0)) (= W0 W1)))))
% 1.00/1.19  (assume a21 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W2)) (tptp.sdtlseqdt0 W0 W2)))))
% 1.00/1.19  (assume a22 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2) (tptp.aScalar0 W3)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W2 W3)) (tptp.sdtlseqdt0 (tptp.sdtpldt0 W0 W2) (tptp.sdtpldt0 W1 W3))))))
% 1.00/1.19  (assume a23 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2) (tptp.aScalar0 W3)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 tptp.sz0z00 W2) (tptp.sdtlseqdt0 W2 W3)) (tptp.sdtlseqdt0 (tptp.sdtasdt0 W0 W2) (tptp.sdtasdt0 W1 W3))))))
% 1.00/1.19  (assume a24 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (or (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W0)))))
% 1.00/1.19  (assume a25 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (=> (and (tptp.sdtlseqdt0 tptp.sz0z00 W0) (tptp.sdtlseqdt0 tptp.sz0z00 W1)) (and (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtpldt0 W0 W1)) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasdt0 W0 W1)))))))
% 1.00/1.19  (assume a26 (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasdt0 W0 W0)))))
% 1.00/1.19  (assume a27 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (=> (and (tptp.sdtlseqdt0 tptp.sz0z00 W0) (tptp.sdtlseqdt0 tptp.sz0z00 W1) (= (tptp.sdtasdt0 W0 W0) (tptp.sdtasdt0 W1 W1))) (= W0 W1)))))
% 1.00/1.19  (assume a28 (forall ((W0 $$unsorted)) (=> (tptp.aVector0 W0) true)))
% 1.00/1.19  (assume a29 (forall ((W0 $$unsorted)) (=> (tptp.aVector0 W0) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0)))))
% 1.00/1.19  (assume a30 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aVector0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aScalar0 (tptp.sdtlbdtrb0 W0 W1)))))
% 1.00/1.19  (assume a31 (forall ((W0 $$unsorted)) (=> (tptp.aVector0 W0) (=> (not (= (tptp.aDimensionOf0 W0) tptp.sz00)) (forall ((W1 $$unsorted)) (= (= W1 (tptp.sziznziztdt0 W0)) (and (tptp.aVector0 W1) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 W1)) (tptp.aDimensionOf0 W0)) (forall ((W2 $$unsorted)) (=> (tptp.aNaturalNumber0 W2) (= (tptp.sdtlbdtrb0 W1 W2) (tptp.sdtlbdtrb0 W0 W2)))))))))))
% 1.00/1.19  (assume a32 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aVector0 W0) (tptp.aVector0 W1)) (=> (and (= (tptp.aDimensionOf0 W0) (tptp.aDimensionOf0 W1)) (not (= (tptp.aDimensionOf0 W1) tptp.sz00))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 W0)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 W1)))))))
% 1.00/1.19  (assume a33 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aVector0 W0) (tptp.aVector0 W1)) (=> (= (tptp.aDimensionOf0 W0) (tptp.aDimensionOf0 W1)) (tptp.aScalar0 (tptp.sdtasasdt0 W0 W1))))))
% 1.00/1.19  (assume a34 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aVector0 W0) (tptp.aVector0 W1)) (=> (and (= (tptp.aDimensionOf0 W0) (tptp.aDimensionOf0 W1)) (= (tptp.aDimensionOf0 W1) tptp.sz00)) (= (tptp.sdtasasdt0 W0 W1) tptp.sz0z00)))))
% 1.00/1.19  (assume a35 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aVector0 W0) (tptp.aVector0 W1)) (=> (and (= (tptp.aDimensionOf0 W0) (tptp.aDimensionOf0 W1)) (not (= (tptp.aDimensionOf0 W1) tptp.sz00))) (= (tptp.sdtasasdt0 W0 W1) (tptp.sdtpldt0 (tptp.sdtasasdt0 (tptp.sziznziztdt0 W0) (tptp.sziznziztdt0 W1)) (tptp.sdtasdt0 (tptp.sdtlbdtrb0 W0 (tptp.aDimensionOf0 W0)) (tptp.sdtlbdtrb0 W1 (tptp.aDimensionOf0 W1)))))))))
% 1.00/1.19  (assume a36 (forall ((W0 $$unsorted)) (=> (tptp.aVector0 W0) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 W0 W0)))))
% 1.00/1.19  (assume a37 (and (tptp.aVector0 tptp.xs) (tptp.aVector0 tptp.xt)))
% 1.00/1.19  (assume a38 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aVector0 W0) (tptp.aVector0 W1)) (=> (= (tptp.aDimensionOf0 W0) (tptp.aDimensionOf0 W1)) (=> (tptp.iLess0 (tptp.aDimensionOf0 W0) (tptp.aDimensionOf0 tptp.xs)) (tptp.sdtlseqdt0 (tptp.sdtasdt0 (tptp.sdtasasdt0 W0 W1) (tptp.sdtasasdt0 W0 W1)) (tptp.sdtasdt0 (tptp.sdtasasdt0 W0 W0) (tptp.sdtasasdt0 W1 W1))))))))
% 1.00/1.19  (assume a39 (= (tptp.aDimensionOf0 tptp.xs) (tptp.aDimensionOf0 tptp.xt)))
% 1.00/1.19  (assume a40 (not (= (tptp.aDimensionOf0 tptp.xs) tptp.sz00)))
% 1.00/1.19  (assume a41 (and (tptp.aVector0 tptp.xp) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xp)) (tptp.aDimensionOf0 tptp.xs)) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (= (tptp.sdtlbdtrb0 tptp.xp W0) (tptp.sdtlbdtrb0 tptp.xs W0)))) (= tptp.xp (tptp.sziznziztdt0 tptp.xs))))
% 1.00/1.19  (assume a42 (and (tptp.aVector0 tptp.xq) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xq)) (tptp.aDimensionOf0 tptp.xt)) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (= (tptp.sdtlbdtrb0 tptp.xq W0) (tptp.sdtlbdtrb0 tptp.xt W0)))) (= tptp.xq (tptp.sziznziztdt0 tptp.xt))))
% 1.00/1.19  (assume a43 (and (tptp.aScalar0 tptp.xA) (= tptp.xA (tptp.sdtlbdtrb0 tptp.xs (tptp.aDimensionOf0 tptp.xs)))))
% 1.00/1.19  (assume a44 (and (tptp.aScalar0 tptp.xB) (= tptp.xB (tptp.sdtlbdtrb0 tptp.xt (tptp.aDimensionOf0 tptp.xt)))))
% 1.00/1.19  (assume a45 (and (tptp.aScalar0 tptp.xC) (= tptp.xC (tptp.sdtasasdt0 tptp.xp tptp.xp))))
% 1.00/1.19  (assume a46 (and (tptp.aScalar0 tptp.xD) (= tptp.xD (tptp.sdtasasdt0 tptp.xq tptp.xq))))
% 1.00/1.19  (assume a47 (and (tptp.aScalar0 tptp.xE) (= tptp.xE (tptp.sdtasasdt0 tptp.xp tptp.xq))))
% 1.00/1.19  (assume a48 (and (tptp.aScalar0 tptp.xF) (= tptp.xF (tptp.sdtasdt0 tptp.xA tptp.xA))))
% 1.00/1.19  (assume a49 (and (tptp.aScalar0 tptp.xG) (= tptp.xG (tptp.sdtasdt0 tptp.xB tptp.xB))))
% 1.00/1.19  (assume a50 (and (tptp.aScalar0 tptp.xH) (= tptp.xH (tptp.sdtasdt0 tptp.xA tptp.xB))))
% 1.00/1.19  (assume a51 (and (tptp.aScalar0 tptp.xR) (= tptp.xR (tptp.sdtasdt0 tptp.xC tptp.xG))))
% 1.00/1.19  (assume a52 (and (tptp.aScalar0 tptp.xP) (= tptp.xP (tptp.sdtasdt0 tptp.xE tptp.xH))))
% 1.00/1.19  (assume a53 (and (tptp.aScalar0 tptp.xS) (= tptp.xS (tptp.sdtasdt0 tptp.xF tptp.xD))))
% 1.00/1.19  (assume a54 (and (tptp.aScalar0 tptp.xN) (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS))))
% 1.00/1.19  (assume a55 (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xE tptp.xE) (tptp.sdtasdt0 tptp.xC tptp.xD)))
% 1.00/1.19  (assume a56 (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xP tptp.xP) tptp.xN))
% 1.00/1.19  (assume a57 (not (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 tptp.xN))))
% 1.00/1.19  (assume a58 true)
% 1.00/1.19  (step t1 (cl (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))))) (not (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS))) (not (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (not (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS)))) (not (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)))) (not (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR))) (not (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))))) :rule and_neg)
% 1.00/1.19  (step t2 (cl (=> (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 tptp.xN))) (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))))) :rule implies_neg1)
% 1.00/1.19  (anchor :step t3)
% 1.00/1.19  (assume t3.a0 (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)))
% 1.00/1.19  (assume t3.a1 (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))))
% 1.00/1.19  (assume t3.a2 (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))))
% 1.00/1.19  (assume t3.a3 (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))))
% 1.00/1.19  (assume t3.a4 (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)))
% 1.00/1.19  (assume t3.a5 (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))))
% 1.00/1.19  (step t3.t1 (cl (=> (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 tptp.xN))) (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))))) :rule implies_neg1)
% 1.00/1.19  (anchor :step t3.t2)
% 1.00/1.19  (assume t3.t2.a0 (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)))
% 1.00/1.19  (assume t3.t2.a1 (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)))
% 1.00/1.19  (assume t3.t2.a2 (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))))
% 1.00/1.19  (assume t3.t2.a3 (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))))
% 1.00/1.19  (assume t3.t2.a4 (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))))
% 1.00/1.19  (assume t3.t2.a5 (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))))
% 1.00/1.19  (step t3.t2.t1 (cl (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR))) :rule symm :premises (t3.t2.a5))
% 1.00/1.19  (step t3.t2.t2 (cl (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)))) :rule symm :premises (t3.t2.t1))
% 1.00/1.19  (step t3.t2.t3 (cl (= (tptp.smndt0 (tptp.smndt0 tptp.xS)) tptp.xS)) :rule symm :premises (t3.t2.a2))
% 1.00/1.19  (step t3.t2.t4 (cl (= (tptp.smndt0 (tptp.smndt0 tptp.xR)) tptp.xR)) :rule symm :premises (t3.t2.a3))
% 1.00/1.19  (step t3.t2.t5 (cl (= (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))) (tptp.sdtasdt0 tptp.xS tptp.xR))) :rule cong :premises (t3.t2.t3 t3.t2.t4))
% 1.00/1.19  (step t3.t2.t6 (cl (= (tptp.sdtasdt0 tptp.xS tptp.xR) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))))) :rule symm :premises (t3.t2.t5))
% 1.00/1.19  (step t3.t2.t7 (cl (= (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)))) :rule symm :premises (t3.t2.a4))
% 1.00/1.19  (step t3.t2.t8 (cl (= (tptp.sdtasdt0 tptp.xS tptp.xR) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)))) :rule trans :premises (t3.t2.t6 t3.t2.t7))
% 1.00/1.19  (step t3.t2.t9 (cl (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.smndt0 (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR))))) :rule cong :premises (t3.t2.t8))
% 1.00/1.19  (step t3.t2.t10 (cl (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))))) :rule symm :premises (t3.t2.t7))
% 1.00/1.19  (step t3.t2.t11 (cl (= (tptp.sdtasdt0 tptp.xS tptp.xR) (tptp.sdtasdt0 tptp.xR tptp.xS))) :rule symm :premises (t3.t2.a1))
% 1.00/1.19  (step t3.t2.t12 (cl (= (tptp.sdtasdt0 tptp.xR tptp.xS) tptp.xN)) :rule symm :premises (t3.t2.a0))
% 1.00/1.19  (step t3.t2.t13 (cl (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) tptp.xN)) :rule trans :premises (t3.t2.t10 t3.t2.t5 t3.t2.t11 t3.t2.t12))
% 1.00/1.19  (step t3.t2.t14 (cl (= (tptp.smndt0 (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR))) (tptp.smndt0 tptp.xN))) :rule cong :premises (t3.t2.t13))
% 1.00/1.19  (step t3.t2.t15 (cl (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 tptp.xN))) :rule trans :premises (t3.t2.t2 t3.t2.t9 t3.t2.t14))
% 1.00/1.19  (step t3.t2 (cl (not (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS))) (not (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR))) (not (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS)))) (not (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (not (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))))) (not (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 tptp.xN))) :rule subproof :discharge (t3.t2.a0 t3.t2.a1 t3.t2.a2 t3.t2.a3 t3.t2.a4 t3.t2.a5))
% 1.00/1.19  (step t3.t3 (cl (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))))) (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS))) :rule and_pos)
% 1.00/1.19  (step t3.t4 (cl (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR))) :rule and_pos)
% 1.00/1.19  (step t3.t5 (cl (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))))) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS)))) :rule and_pos)
% 1.00/1.19  (step t3.t6 (cl (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))))) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR)))) :rule and_pos)
% 1.00/1.19  (step t3.t7 (cl (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))))) :rule and_pos)
% 1.00/1.19  (step t3.t8 (cl (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)))) :rule and_pos)
% 1.00/1.19  (step t3.t9 (cl (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 tptp.xN)) (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))))) (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))))) (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))))) (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))))) (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))))) (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)))))) :rule resolution :premises (t3.t2 t3.t3 t3.t4 t3.t5 t3.t6 t3.t7 t3.t8))
% 1.00/1.19  (step t3.t10 (cl (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))))) (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))))) (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))))) (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))))) (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))))) (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 tptp.xN))) :rule reordering :premises (t3.t9))
% 1.00/1.19  (step t3.t11 (cl (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 tptp.xN))) :rule contraction :premises (t3.t10))
% 1.00/1.19  (step t3.t12 (cl (=> (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 tptp.xN))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 tptp.xN))) :rule resolution :premises (t3.t1 t3.t11))
% 1.00/1.19  (step t3.t13 (cl (=> (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 tptp.xN))) (not (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 tptp.xN)))) :rule implies_neg2)
% 1.00/1.19  (step t3.t14 (cl (=> (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 tptp.xN))) (=> (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 tptp.xN)))) :rule resolution :premises (t3.t12 t3.t13))
% 1.00/1.19  (step t3.t15 (cl (=> (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 tptp.xN)))) :rule contraction :premises (t3.t14))
% 1.00/1.19  (step t3.t16 (cl (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 tptp.xN))) :rule implies :premises (t3.t15))
% 1.00/1.19  (step t3.t17 (cl (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)))) (not (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS))) (not (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR))) (not (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS)))) (not (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (not (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))))) (not (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))))) :rule and_neg)
% 1.00/1.19  (step t3.t18 (cl (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))))) :rule resolution :premises (t3.t17 t3.a0 t3.a4 t3.a2 t3.a1 t3.a5 t3.a3))
% 1.00/1.19  (step t3.t19 (cl (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 tptp.xN))) :rule resolution :premises (t3.t16 t3.t18))
% 1.00/1.19  (step t3 (cl (not (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS))) (not (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (not (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS)))) (not (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)))) (not (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR))) (not (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 tptp.xN))) :rule subproof :discharge (t3.a0 t3.a1 t3.a2 t3.a3 t3.a4 t3.a5))
% 1.00/1.19  (step t4 (cl (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))))) (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS))) :rule and_pos)
% 1.00/1.19  (step t5 (cl (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))))) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR)))) :rule and_pos)
% 1.00/1.19  (step t6 (cl (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))))) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS)))) :rule and_pos)
% 1.00/1.19  (step t7 (cl (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)))) :rule and_pos)
% 1.00/1.19  (step t8 (cl (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR))) :rule and_pos)
% 1.00/1.19  (step t9 (cl (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))))) :rule and_pos)
% 1.00/1.19  (step t10 (cl (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 tptp.xN)) (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))))) (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))))) (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))))) (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))))) (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))))) (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))))))) :rule resolution :premises (t3 t4 t5 t6 t7 t8 t9))
% 1.00/1.19  (step t11 (cl (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))))) (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))))) (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))))) (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))))) (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))))) (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 tptp.xN))) :rule reordering :premises (t10))
% 1.00/1.19  (step t12 (cl (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 tptp.xN))) :rule contraction :premises (t11))
% 1.00/1.19  (step t13 (cl (=> (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 tptp.xN))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 tptp.xN))) :rule resolution :premises (t2 t12))
% 1.00/1.19  (step t14 (cl (=> (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 tptp.xN))) (not (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 tptp.xN)))) :rule implies_neg2)
% 1.00/1.19  (step t15 (cl (=> (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 tptp.xN))) (=> (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 tptp.xN)))) :rule resolution :premises (t13 t14))
% 1.00/1.19  (step t16 (cl (=> (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 tptp.xN)))) :rule contraction :premises (t15))
% 1.00/1.19  (step t17 (cl (not (and (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 tptp.xN))) :rule implies :premises (t16))
% 1.00/1.19  (step t18 (cl (not (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS))) (not (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (not (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS)))) (not (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)))) (not (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR))) (not (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 tptp.xN))) :rule resolution :premises (t1 t17))
% 1.00/1.19  (step t19 (cl (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 tptp.xN)) (not (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS))) (not (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (not (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS)))) (not (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)))) (not (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR))) (not (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))))) :rule reordering :premises (t18))
% 1.00/1.19  (step t20 (cl (not (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtpldt0 tptp.xR (tptp.sdtpldt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtpldt0 tptp.xR tptp.xS) (tptp.sdtpldt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtasdt0 tptp.xR (tptp.sdtasdt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR))) :rule and_pos)
% 1.00/1.19  (step t21 (cl (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)) (not (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtpldt0 tptp.xR (tptp.sdtpldt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtpldt0 tptp.xR tptp.xS) (tptp.sdtpldt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtasdt0 tptp.xR (tptp.sdtasdt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR))))) :rule reordering :premises (t20))
% 1.00/1.19  (step t22 (cl (not (or (not (tptp.aScalar0 tptp.xR)) (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.sz0z00)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtpldt0 tptp.xR (tptp.sdtpldt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtpldt0 tptp.xR tptp.xS) (tptp.sdtpldt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtasdt0 tptp.xR (tptp.sdtasdt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR))))) (not (tptp.aScalar0 tptp.xR)) (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.sz0z00)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtpldt0 tptp.xR (tptp.sdtpldt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtpldt0 tptp.xR tptp.xS) (tptp.sdtpldt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtasdt0 tptp.xR (tptp.sdtasdt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)))) :rule or_pos)
% 1.00/1.19  (step t23 (cl (not (tptp.aScalar0 tptp.sz0z00)) (not (tptp.aScalar0 tptp.xR)) (not (tptp.aScalar0 tptp.xS)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtpldt0 tptp.xR (tptp.sdtpldt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtpldt0 tptp.xR tptp.xS) (tptp.sdtpldt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtasdt0 tptp.xR (tptp.sdtasdt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR))) (not (or (not (tptp.aScalar0 tptp.xR)) (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.sz0z00)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtpldt0 tptp.xR (tptp.sdtpldt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtpldt0 tptp.xR tptp.xS) (tptp.sdtpldt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtasdt0 tptp.xR (tptp.sdtasdt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)))))) :rule reordering :premises (t22))
% 1.00/1.19  (step t24 (cl (tptp.aScalar0 tptp.xR)) :rule and :premises (a51))
% 1.00/1.19  (step t25 (cl (tptp.aScalar0 tptp.xS)) :rule and :premises (a53))
% 1.00/1.19  (step t26 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (not (tptp.aScalar0 W2)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0))))) (or (not (tptp.aScalar0 tptp.xR)) (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.sz0z00)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtpldt0 tptp.xR (tptp.sdtpldt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtpldt0 tptp.xR tptp.xS) (tptp.sdtpldt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtasdt0 tptp.xR (tptp.sdtasdt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (not (tptp.aScalar0 W2)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) :rule implies_neg1)
% 1.00/1.19  (anchor :step t27)
% 1.00/1.19  (assume t27.a0 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (not (tptp.aScalar0 W2)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0))))))
% 1.00/1.19  (step t27.t1 (cl (or (not (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (not (tptp.aScalar0 W2)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (or (not (tptp.aScalar0 tptp.xR)) (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.sz0z00)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtpldt0 tptp.xR (tptp.sdtpldt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtpldt0 tptp.xR tptp.xS) (tptp.sdtpldt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtasdt0 tptp.xR (tptp.sdtasdt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)))))) :rule forall_inst :args ((:= W0 tptp.xR) (:= W1 tptp.xS) (:= W2 tptp.sz0z00)))
% 1.00/1.19  (step t27.t2 (cl (not (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (not (tptp.aScalar0 W2)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (or (not (tptp.aScalar0 tptp.xR)) (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.sz0z00)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtpldt0 tptp.xR (tptp.sdtpldt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtpldt0 tptp.xR tptp.xS) (tptp.sdtpldt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtasdt0 tptp.xR (tptp.sdtasdt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR))))) :rule or :premises (t27.t1))
% 1.00/1.19  (step t27.t3 (cl (or (not (tptp.aScalar0 tptp.xR)) (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.sz0z00)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtpldt0 tptp.xR (tptp.sdtpldt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtpldt0 tptp.xR tptp.xS) (tptp.sdtpldt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtasdt0 tptp.xR (tptp.sdtasdt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR))))) :rule resolution :premises (t27.t2 t27.a0))
% 1.00/1.19  (step t27 (cl (not (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (not (tptp.aScalar0 W2)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (or (not (tptp.aScalar0 tptp.xR)) (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.sz0z00)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtpldt0 tptp.xR (tptp.sdtpldt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtpldt0 tptp.xR tptp.xS) (tptp.sdtpldt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtasdt0 tptp.xR (tptp.sdtasdt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR))))) :rule subproof :discharge (t27.a0))
% 1.00/1.19  (step t28 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (not (tptp.aScalar0 W2)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0))))) (or (not (tptp.aScalar0 tptp.xR)) (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.sz0z00)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtpldt0 tptp.xR (tptp.sdtpldt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtpldt0 tptp.xR tptp.xS) (tptp.sdtpldt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtasdt0 tptp.xR (tptp.sdtasdt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR))))) (or (not (tptp.aScalar0 tptp.xR)) (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.sz0z00)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtpldt0 tptp.xR (tptp.sdtpldt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtpldt0 tptp.xR tptp.xS) (tptp.sdtpldt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtasdt0 tptp.xR (tptp.sdtasdt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR))))) :rule resolution :premises (t26 t27))
% 1.00/1.19  (step t29 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (not (tptp.aScalar0 W2)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0))))) (or (not (tptp.aScalar0 tptp.xR)) (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.sz0z00)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtpldt0 tptp.xR (tptp.sdtpldt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtpldt0 tptp.xR tptp.xS) (tptp.sdtpldt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtasdt0 tptp.xR (tptp.sdtasdt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR))))) (not (or (not (tptp.aScalar0 tptp.xR)) (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.sz0z00)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtpldt0 tptp.xR (tptp.sdtpldt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtpldt0 tptp.xR tptp.xS) (tptp.sdtpldt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtasdt0 tptp.xR (tptp.sdtasdt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)))))) :rule implies_neg2)
% 1.00/1.19  (step t30 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (not (tptp.aScalar0 W2)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0))))) (or (not (tptp.aScalar0 tptp.xR)) (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.sz0z00)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtpldt0 tptp.xR (tptp.sdtpldt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtpldt0 tptp.xR tptp.xS) (tptp.sdtpldt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtasdt0 tptp.xR (tptp.sdtasdt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR))))) (=> (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (not (tptp.aScalar0 W2)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0))))) (or (not (tptp.aScalar0 tptp.xR)) (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.sz0z00)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtpldt0 tptp.xR (tptp.sdtpldt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtpldt0 tptp.xR tptp.xS) (tptp.sdtpldt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtasdt0 tptp.xR (tptp.sdtasdt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)))))) :rule resolution :premises (t28 t29))
% 1.00/1.19  (step t31 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (not (tptp.aScalar0 W2)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0))))) (or (not (tptp.aScalar0 tptp.xR)) (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.sz0z00)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtpldt0 tptp.xR (tptp.sdtpldt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtpldt0 tptp.xR tptp.xS) (tptp.sdtpldt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtasdt0 tptp.xR (tptp.sdtasdt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)))))) :rule contraction :premises (t30))
% 1.00/1.19  (step t32 (cl (not (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (not (tptp.aScalar0 W2)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (or (not (tptp.aScalar0 tptp.xR)) (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.sz0z00)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtpldt0 tptp.xR (tptp.sdtpldt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtpldt0 tptp.xR tptp.xS) (tptp.sdtpldt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtasdt0 tptp.xR (tptp.sdtasdt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR))))) :rule implies :premises (t31))
% 1.00/1.19  (step t33 (cl (not (= (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (not (tptp.aScalar0 W2)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0))))))) (not (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (not (tptp.aScalar0 W2)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) :rule equiv_pos2)
% 1.00/1.19  (step t34 (cl (= (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (not (tptp.aScalar0 W2)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0))))))) :rule all_simplify)
% 1.00/1.19  (step t35 (cl (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (not (tptp.aScalar0 W2)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) :rule resolution :premises (t33 t34 a13))
% 1.00/1.19  (step t36 (cl (or (not (tptp.aScalar0 tptp.xR)) (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.sz0z00)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtpldt0 tptp.xR (tptp.sdtpldt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtpldt0 tptp.xR tptp.xS) (tptp.sdtpldt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtasdt0 tptp.xR (tptp.sdtasdt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR))))) :rule resolution :premises (t32 t35))
% 1.00/1.19  (step t37 (cl (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtpldt0 tptp.xR (tptp.sdtpldt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtpldt0 tptp.xR tptp.xS) (tptp.sdtpldt0 tptp.xS tptp.xR)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 tptp.xR tptp.xS) tptp.sz0z00) (tptp.sdtasdt0 tptp.xR (tptp.sdtasdt0 tptp.xS tptp.sz0z00))) (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR)))) :rule resolution :premises (t23 a8 t24 t25 t36))
% 1.00/1.19  (step t38 (cl (= (tptp.sdtasdt0 tptp.xR tptp.xS) (tptp.sdtasdt0 tptp.xS tptp.xR))) :rule resolution :premises (t21 t37))
% 1.00/1.19  (step t39 (cl (not (or (not (tptp.aScalar0 (tptp.smndt0 tptp.xS))) (not (tptp.aScalar0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))))) (not (tptp.aScalar0 (tptp.smndt0 tptp.xS))) (not (tptp.aScalar0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))))) :rule or_pos)
% 1.00/1.19  (step t40 (cl (not (tptp.aScalar0 (tptp.smndt0 tptp.xS))) (not (tptp.aScalar0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))) (not (or (not (tptp.aScalar0 (tptp.smndt0 tptp.xS))) (not (tptp.aScalar0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))))))) :rule reordering :premises (t39))
% 1.00/1.19  (step t41 (cl (not (or (not (tptp.aScalar0 tptp.xS)) (tptp.aScalar0 (tptp.smndt0 tptp.xS)))) (not (tptp.aScalar0 tptp.xS)) (tptp.aScalar0 (tptp.smndt0 tptp.xS))) :rule or_pos)
% 1.00/1.19  (step t42 (cl (not (tptp.aScalar0 tptp.xS)) (tptp.aScalar0 (tptp.smndt0 tptp.xS)) (not (or (not (tptp.aScalar0 tptp.xS)) (tptp.aScalar0 (tptp.smndt0 tptp.xS))))) :rule reordering :premises (t41))
% 1.00/1.19  (step t43 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.aScalar0 (tptp.smndt0 W0)))) (or (not (tptp.aScalar0 tptp.xS)) (tptp.aScalar0 (tptp.smndt0 tptp.xS)))) (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.aScalar0 (tptp.smndt0 W0))))) :rule implies_neg1)
% 1.00/1.19  (anchor :step t44)
% 1.00/1.19  (assume t44.a0 (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.aScalar0 (tptp.smndt0 W0)))))
% 1.00/1.19  (step t44.t1 (cl (or (not (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.aScalar0 (tptp.smndt0 W0))))) (or (not (tptp.aScalar0 tptp.xS)) (tptp.aScalar0 (tptp.smndt0 tptp.xS))))) :rule forall_inst :args ((:= W0 tptp.xS)))
% 1.00/1.19  (step t44.t2 (cl (not (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.aScalar0 (tptp.smndt0 W0))))) (or (not (tptp.aScalar0 tptp.xS)) (tptp.aScalar0 (tptp.smndt0 tptp.xS)))) :rule or :premises (t44.t1))
% 1.00/1.19  (step t44.t3 (cl (or (not (tptp.aScalar0 tptp.xS)) (tptp.aScalar0 (tptp.smndt0 tptp.xS)))) :rule resolution :premises (t44.t2 t44.a0))
% 1.00/1.19  (step t44 (cl (not (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.aScalar0 (tptp.smndt0 W0))))) (or (not (tptp.aScalar0 tptp.xS)) (tptp.aScalar0 (tptp.smndt0 tptp.xS)))) :rule subproof :discharge (t44.a0))
% 1.00/1.19  (step t45 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.aScalar0 (tptp.smndt0 W0)))) (or (not (tptp.aScalar0 tptp.xS)) (tptp.aScalar0 (tptp.smndt0 tptp.xS)))) (or (not (tptp.aScalar0 tptp.xS)) (tptp.aScalar0 (tptp.smndt0 tptp.xS)))) :rule resolution :premises (t43 t44))
% 1.00/1.19  (step t46 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.aScalar0 (tptp.smndt0 W0)))) (or (not (tptp.aScalar0 tptp.xS)) (tptp.aScalar0 (tptp.smndt0 tptp.xS)))) (not (or (not (tptp.aScalar0 tptp.xS)) (tptp.aScalar0 (tptp.smndt0 tptp.xS))))) :rule implies_neg2)
% 1.00/1.19  (step t47 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.aScalar0 (tptp.smndt0 W0)))) (or (not (tptp.aScalar0 tptp.xS)) (tptp.aScalar0 (tptp.smndt0 tptp.xS)))) (=> (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.aScalar0 (tptp.smndt0 W0)))) (or (not (tptp.aScalar0 tptp.xS)) (tptp.aScalar0 (tptp.smndt0 tptp.xS))))) :rule resolution :premises (t45 t46))
% 1.00/1.19  (step t48 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.aScalar0 (tptp.smndt0 W0)))) (or (not (tptp.aScalar0 tptp.xS)) (tptp.aScalar0 (tptp.smndt0 tptp.xS))))) :rule contraction :premises (t47))
% 1.00/1.19  (step t49 (cl (not (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.aScalar0 (tptp.smndt0 W0))))) (or (not (tptp.aScalar0 tptp.xS)) (tptp.aScalar0 (tptp.smndt0 tptp.xS)))) :rule implies :premises (t48))
% 1.00/1.19  (step t50 (cl (not (= (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.aScalar0 (tptp.smndt0 W0)))) (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.aScalar0 (tptp.smndt0 W0)))))) (not (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.aScalar0 (tptp.smndt0 W0))))) (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.aScalar0 (tptp.smndt0 W0))))) :rule equiv_pos2)
% 1.00/1.19  (step t51 (cl (= (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.aScalar0 (tptp.smndt0 W0)))) (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.aScalar0 (tptp.smndt0 W0)))))) :rule all_simplify)
% 1.00/1.19  (step t52 (cl (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.aScalar0 (tptp.smndt0 W0))))) :rule resolution :premises (t50 t51 a11))
% 1.00/1.19  (step t53 (cl (or (not (tptp.aScalar0 tptp.xS)) (tptp.aScalar0 (tptp.smndt0 tptp.xS)))) :rule resolution :premises (t49 t52))
% 1.00/1.19  (step t54 (cl (tptp.aScalar0 (tptp.smndt0 tptp.xS))) :rule resolution :premises (t42 t25 t53))
% 1.00/1.19  (step t55 (cl (not (or (not (tptp.aScalar0 tptp.xR)) (tptp.aScalar0 (tptp.smndt0 tptp.xR)))) (not (tptp.aScalar0 tptp.xR)) (tptp.aScalar0 (tptp.smndt0 tptp.xR))) :rule or_pos)
% 1.00/1.19  (step t56 (cl (not (tptp.aScalar0 tptp.xR)) (tptp.aScalar0 (tptp.smndt0 tptp.xR)) (not (or (not (tptp.aScalar0 tptp.xR)) (tptp.aScalar0 (tptp.smndt0 tptp.xR))))) :rule reordering :premises (t55))
% 1.00/1.19  (step t57 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.aScalar0 (tptp.smndt0 W0)))) (or (not (tptp.aScalar0 tptp.xR)) (tptp.aScalar0 (tptp.smndt0 tptp.xR)))) (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.aScalar0 (tptp.smndt0 W0))))) :rule implies_neg1)
% 1.00/1.19  (anchor :step t58)
% 1.00/1.19  (assume t58.a0 (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.aScalar0 (tptp.smndt0 W0)))))
% 1.00/1.19  (step t58.t1 (cl (or (not (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.aScalar0 (tptp.smndt0 W0))))) (or (not (tptp.aScalar0 tptp.xR)) (tptp.aScalar0 (tptp.smndt0 tptp.xR))))) :rule forall_inst :args ((:= W0 tptp.xR)))
% 1.00/1.19  (step t58.t2 (cl (not (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.aScalar0 (tptp.smndt0 W0))))) (or (not (tptp.aScalar0 tptp.xR)) (tptp.aScalar0 (tptp.smndt0 tptp.xR)))) :rule or :premises (t58.t1))
% 1.00/1.19  (step t58.t3 (cl (or (not (tptp.aScalar0 tptp.xR)) (tptp.aScalar0 (tptp.smndt0 tptp.xR)))) :rule resolution :premises (t58.t2 t58.a0))
% 1.00/1.19  (step t58 (cl (not (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.aScalar0 (tptp.smndt0 W0))))) (or (not (tptp.aScalar0 tptp.xR)) (tptp.aScalar0 (tptp.smndt0 tptp.xR)))) :rule subproof :discharge (t58.a0))
% 1.00/1.19  (step t59 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.aScalar0 (tptp.smndt0 W0)))) (or (not (tptp.aScalar0 tptp.xR)) (tptp.aScalar0 (tptp.smndt0 tptp.xR)))) (or (not (tptp.aScalar0 tptp.xR)) (tptp.aScalar0 (tptp.smndt0 tptp.xR)))) :rule resolution :premises (t57 t58))
% 1.00/1.19  (step t60 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.aScalar0 (tptp.smndt0 W0)))) (or (not (tptp.aScalar0 tptp.xR)) (tptp.aScalar0 (tptp.smndt0 tptp.xR)))) (not (or (not (tptp.aScalar0 tptp.xR)) (tptp.aScalar0 (tptp.smndt0 tptp.xR))))) :rule implies_neg2)
% 1.00/1.19  (step t61 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.aScalar0 (tptp.smndt0 W0)))) (or (not (tptp.aScalar0 tptp.xR)) (tptp.aScalar0 (tptp.smndt0 tptp.xR)))) (=> (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.aScalar0 (tptp.smndt0 W0)))) (or (not (tptp.aScalar0 tptp.xR)) (tptp.aScalar0 (tptp.smndt0 tptp.xR))))) :rule resolution :premises (t59 t60))
% 1.00/1.19  (step t62 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.aScalar0 (tptp.smndt0 W0)))) (or (not (tptp.aScalar0 tptp.xR)) (tptp.aScalar0 (tptp.smndt0 tptp.xR))))) :rule contraction :premises (t61))
% 1.00/1.19  (step t63 (cl (not (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (tptp.aScalar0 (tptp.smndt0 W0))))) (or (not (tptp.aScalar0 tptp.xR)) (tptp.aScalar0 (tptp.smndt0 tptp.xR)))) :rule implies :premises (t62))
% 1.00/1.19  (step t64 (cl (or (not (tptp.aScalar0 tptp.xR)) (tptp.aScalar0 (tptp.smndt0 tptp.xR)))) :rule resolution :premises (t63 t52))
% 1.00/1.19  (step t65 (cl (tptp.aScalar0 (tptp.smndt0 tptp.xR))) :rule resolution :premises (t56 t24 t64))
% 1.00/1.19  (step t66 (cl (not (= (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1)))) (or (not (tptp.aScalar0 (tptp.smndt0 tptp.xS))) (not (tptp.aScalar0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR))))) (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1)))) (or (not (tptp.aScalar0 (tptp.smndt0 tptp.xS))) (not (tptp.aScalar0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))))))) (not (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1)))) (or (not (tptp.aScalar0 (tptp.smndt0 tptp.xS))) (not (tptp.aScalar0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)))))) (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1)))) (or (not (tptp.aScalar0 (tptp.smndt0 tptp.xS))) (not (tptp.aScalar0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))))))) :rule equiv_pos2)
% 1.00/1.19  (step t67 (cl (= (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1)))))) :rule refl)
% 1.00/1.19  (step t68 (cl (= (not (tptp.aScalar0 (tptp.smndt0 tptp.xS))) (not (tptp.aScalar0 (tptp.smndt0 tptp.xS))))) :rule refl)
% 1.00/1.19  (step t69 (cl (= (not (tptp.aScalar0 (tptp.smndt0 tptp.xR))) (not (tptp.aScalar0 (tptp.smndt0 tptp.xR))))) :rule refl)
% 1.00/1.19  (step t70 (cl (= (= (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))))) :rule all_simplify)
% 1.00/1.19  (step t71 (cl (= (or (not (tptp.aScalar0 (tptp.smndt0 tptp.xS))) (not (tptp.aScalar0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)))) (or (not (tptp.aScalar0 (tptp.smndt0 tptp.xS))) (not (tptp.aScalar0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))))))) :rule cong :premises (t68 t69 t70))
% 1.00/1.19  (step t72 (cl (= (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1)))) (or (not (tptp.aScalar0 (tptp.smndt0 tptp.xS))) (not (tptp.aScalar0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR))))) (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1)))) (or (not (tptp.aScalar0 (tptp.smndt0 tptp.xS))) (not (tptp.aScalar0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))))))) :rule cong :premises (t67 t71))
% 1.00/1.19  (step t73 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1)))) (or (not (tptp.aScalar0 (tptp.smndt0 tptp.xS))) (not (tptp.aScalar0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1))))) :rule implies_neg1)
% 1.00/1.19  (anchor :step t74)
% 1.00/1.19  (assume t74.a0 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1)))))
% 1.00/1.19  (step t74.t1 (cl (or (not (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1))))) (or (not (tptp.aScalar0 (tptp.smndt0 tptp.xS))) (not (tptp.aScalar0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)))))) :rule forall_inst :args ((:= W0 (tptp.smndt0 tptp.xS)) (:= W1 (tptp.smndt0 tptp.xR))))
% 1.00/1.19  (step t74.t2 (cl (not (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1))))) (or (not (tptp.aScalar0 (tptp.smndt0 tptp.xS))) (not (tptp.aScalar0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR))))) :rule or :premises (t74.t1))
% 1.00/1.19  (step t74.t3 (cl (or (not (tptp.aScalar0 (tptp.smndt0 tptp.xS))) (not (tptp.aScalar0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR))))) :rule resolution :premises (t74.t2 t74.a0))
% 1.00/1.19  (step t74 (cl (not (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1))))) (or (not (tptp.aScalar0 (tptp.smndt0 tptp.xS))) (not (tptp.aScalar0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR))))) :rule subproof :discharge (t74.a0))
% 1.00/1.19  (step t75 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1)))) (or (not (tptp.aScalar0 (tptp.smndt0 tptp.xS))) (not (tptp.aScalar0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR))))) (or (not (tptp.aScalar0 (tptp.smndt0 tptp.xS))) (not (tptp.aScalar0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR))))) :rule resolution :premises (t73 t74))
% 1.00/1.19  (step t76 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1)))) (or (not (tptp.aScalar0 (tptp.smndt0 tptp.xS))) (not (tptp.aScalar0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR))))) (not (or (not (tptp.aScalar0 (tptp.smndt0 tptp.xS))) (not (tptp.aScalar0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)))))) :rule implies_neg2)
% 1.00/1.19  (step t77 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1)))) (or (not (tptp.aScalar0 (tptp.smndt0 tptp.xS))) (not (tptp.aScalar0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR))))) (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1)))) (or (not (tptp.aScalar0 (tptp.smndt0 tptp.xS))) (not (tptp.aScalar0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)))))) :rule resolution :premises (t75 t76))
% 1.00/1.19  (step t78 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1)))) (or (not (tptp.aScalar0 (tptp.smndt0 tptp.xS))) (not (tptp.aScalar0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)))))) :rule contraction :premises (t77))
% 1.00/1.19  (step t79 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1)))) (or (not (tptp.aScalar0 (tptp.smndt0 tptp.xS))) (not (tptp.aScalar0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))))))) :rule resolution :premises (t66 t72 t78))
% 1.00/1.19  (step t80 (cl (not (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1))))) (or (not (tptp.aScalar0 (tptp.smndt0 tptp.xS))) (not (tptp.aScalar0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))))) :rule implies :premises (t79))
% 1.00/1.19  (step t81 (cl (not (= (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1)))))) (not (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1))))) :rule equiv_pos2)
% 1.00/1.19  (step t82 (cl (= (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1)))))) :rule all_simplify)
% 1.00/1.19  (step t83 (cl (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (= (tptp.sdtasdt0 (tptp.smndt0 W0) (tptp.smndt0 W1)) (tptp.sdtasdt0 W0 W1))))) :rule resolution :premises (t81 t82 a17))
% 1.00/1.19  (step t84 (cl (or (not (tptp.aScalar0 (tptp.smndt0 tptp.xS))) (not (tptp.aScalar0 (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR)))))) :rule resolution :premises (t80 t83))
% 1.00/1.19  (step t85 (cl (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) (tptp.smndt0 tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 (tptp.smndt0 tptp.xS)) (tptp.smndt0 (tptp.smndt0 tptp.xR))))) :rule resolution :premises (t40 t54 t65 t84))
% 1.00/1.19  (step t86 (cl (not (and (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)))) :rule and_pos)
% 1.00/1.19  (step t87 (cl (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))) (not (and (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)))))) :rule reordering :premises (t86))
% 1.00/1.19  (step t88 (cl (not (or (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.xR)) (and (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)))))) (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.xR)) (and (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))))) :rule or_pos)
% 1.00/1.19  (step t89 (cl (not (tptp.aScalar0 tptp.xR)) (not (tptp.aScalar0 tptp.xS)) (and (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)))) (not (or (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.xR)) (and (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))))))) :rule reordering :premises (t88))
% 1.00/1.19  (step t90 (cl (not (= (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (and (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 W0 (tptp.smndt0 W1))) (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 (tptp.smndt0 W0) W1))))) (or (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.xR)) (and (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))) (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR))))) (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (and (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 W0 (tptp.smndt0 W1))) (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 (tptp.smndt0 W0) W1))))) (or (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.xR)) (and (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)))))))) (not (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (and (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 W0 (tptp.smndt0 W1))) (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 (tptp.smndt0 W0) W1))))) (or (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.xR)) (and (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))) (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR)))))) (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (and (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 W0 (tptp.smndt0 W1))) (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 (tptp.smndt0 W0) W1))))) (or (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.xR)) (and (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))))))) :rule equiv_pos2)
% 1.00/1.19  (step t91 (cl (= (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (and (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 W0 (tptp.smndt0 W1))) (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 (tptp.smndt0 W0) W1))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (and (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 W0 (tptp.smndt0 W1))) (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 (tptp.smndt0 W0) W1))))))) :rule refl)
% 1.00/1.19  (step t92 (cl (= (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.xS)))) :rule refl)
% 1.00/1.19  (step t93 (cl (= (not (tptp.aScalar0 tptp.xR)) (not (tptp.aScalar0 tptp.xR)))) :rule refl)
% 1.00/1.19  (step t94 (cl (= (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))) (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))))) :rule refl)
% 1.00/1.19  (step t95 (cl (= (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR)) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))))) :rule all_simplify)
% 1.00/1.19  (step t96 (cl (= (and (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))) (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR))) (and (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)))))) :rule cong :premises (t94 t95))
% 1.00/1.19  (step t97 (cl (= (or (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.xR)) (and (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))) (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR)))) (or (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.xR)) (and (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))))))) :rule cong :premises (t92 t93 t96))
% 1.00/1.19  (step t98 (cl (= (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (and (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 W0 (tptp.smndt0 W1))) (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 (tptp.smndt0 W0) W1))))) (or (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.xR)) (and (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))) (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR))))) (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (and (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 W0 (tptp.smndt0 W1))) (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 (tptp.smndt0 W0) W1))))) (or (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.xR)) (and (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)))))))) :rule cong :premises (t91 t97))
% 1.00/1.19  (step t99 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (and (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 W0 (tptp.smndt0 W1))) (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 (tptp.smndt0 W0) W1))))) (or (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.xR)) (and (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))) (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (and (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 W0 (tptp.smndt0 W1))) (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 (tptp.smndt0 W0) W1)))))) :rule implies_neg1)
% 1.00/1.19  (anchor :step t100)
% 1.00/1.19  (assume t100.a0 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (and (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 W0 (tptp.smndt0 W1))) (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 (tptp.smndt0 W0) W1))))))
% 1.00/1.19  (step t100.t1 (cl (or (not (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (and (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 W0 (tptp.smndt0 W1))) (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 (tptp.smndt0 W0) W1)))))) (or (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.xR)) (and (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))) (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR)))))) :rule forall_inst :args ((:= W0 tptp.xS) (:= W1 tptp.xR)))
% 1.00/1.19  (step t100.t2 (cl (not (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (and (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 W0 (tptp.smndt0 W1))) (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 (tptp.smndt0 W0) W1)))))) (or (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.xR)) (and (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))) (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR))))) :rule or :premises (t100.t1))
% 1.00/1.19  (step t100.t3 (cl (or (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.xR)) (and (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))) (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR))))) :rule resolution :premises (t100.t2 t100.a0))
% 1.00/1.19  (step t100 (cl (not (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (and (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 W0 (tptp.smndt0 W1))) (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 (tptp.smndt0 W0) W1)))))) (or (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.xR)) (and (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))) (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR))))) :rule subproof :discharge (t100.a0))
% 1.00/1.19  (step t101 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (and (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 W0 (tptp.smndt0 W1))) (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 (tptp.smndt0 W0) W1))))) (or (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.xR)) (and (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))) (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR))))) (or (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.xR)) (and (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))) (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR))))) :rule resolution :premises (t99 t100))
% 1.00/1.19  (step t102 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (and (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 W0 (tptp.smndt0 W1))) (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 (tptp.smndt0 W0) W1))))) (or (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.xR)) (and (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))) (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR))))) (not (or (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.xR)) (and (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))) (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR)))))) :rule implies_neg2)
% 1.00/1.19  (step t103 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (and (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 W0 (tptp.smndt0 W1))) (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 (tptp.smndt0 W0) W1))))) (or (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.xR)) (and (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))) (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR))))) (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (and (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 W0 (tptp.smndt0 W1))) (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 (tptp.smndt0 W0) W1))))) (or (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.xR)) (and (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))) (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR)))))) :rule resolution :premises (t101 t102))
% 1.00/1.19  (step t104 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (and (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 W0 (tptp.smndt0 W1))) (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 (tptp.smndt0 W0) W1))))) (or (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.xR)) (and (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))) (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR)))))) :rule contraction :premises (t103))
% 1.00/1.19  (step t105 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (and (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 W0 (tptp.smndt0 W1))) (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 (tptp.smndt0 W0) W1))))) (or (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.xR)) (and (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))))))) :rule resolution :premises (t90 t98 t104))
% 1.00/1.19  (step t106 (cl (not (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (and (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 W0 (tptp.smndt0 W1))) (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 (tptp.smndt0 W0) W1)))))) (or (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.xR)) (and (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)))))) :rule implies :premises (t105))
% 1.00/1.19  (step t107 (cl (not (= (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (and (= (tptp.sdtasdt0 W0 (tptp.smndt0 W1)) (tptp.smndt0 (tptp.sdtasdt0 W0 W1))) (= (tptp.sdtasdt0 (tptp.smndt0 W0) W1) (tptp.smndt0 (tptp.sdtasdt0 W0 W1)))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (and (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 W0 (tptp.smndt0 W1))) (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 (tptp.smndt0 W0) W1))))))) (not (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (and (= (tptp.sdtasdt0 W0 (tptp.smndt0 W1)) (tptp.smndt0 (tptp.sdtasdt0 W0 W1))) (= (tptp.sdtasdt0 (tptp.smndt0 W0) W1) (tptp.smndt0 (tptp.sdtasdt0 W0 W1))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (and (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 W0 (tptp.smndt0 W1))) (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 (tptp.smndt0 W0) W1)))))) :rule equiv_pos2)
% 1.00/1.19  (anchor :step t108 :args ((W0 $$unsorted) (:= W0 W0) (W1 $$unsorted) (:= W1 W1)))
% 1.00/1.19  (step t108.t1 (cl (= W0 W0)) :rule refl)
% 1.00/1.19  (step t108.t2 (cl (= W1 W1)) :rule refl)
% 1.00/1.19  (step t108.t3 (cl (= (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)))) :rule refl)
% 1.00/1.19  (step t108.t4 (cl (= (= (tptp.sdtasdt0 W0 (tptp.smndt0 W1)) (tptp.smndt0 (tptp.sdtasdt0 W0 W1))) (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 W0 (tptp.smndt0 W1))))) :rule all_simplify)
% 1.00/1.19  (step t108.t5 (cl (= (= (tptp.sdtasdt0 (tptp.smndt0 W0) W1) (tptp.smndt0 (tptp.sdtasdt0 W0 W1))) (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 (tptp.smndt0 W0) W1)))) :rule all_simplify)
% 1.00/1.19  (step t108.t6 (cl (= (and (= (tptp.sdtasdt0 W0 (tptp.smndt0 W1)) (tptp.smndt0 (tptp.sdtasdt0 W0 W1))) (= (tptp.sdtasdt0 (tptp.smndt0 W0) W1) (tptp.smndt0 (tptp.sdtasdt0 W0 W1)))) (and (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 W0 (tptp.smndt0 W1))) (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 (tptp.smndt0 W0) W1))))) :rule cong :premises (t108.t4 t108.t5))
% 1.00/1.19  (step t108.t7 (cl (= (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (and (= (tptp.sdtasdt0 W0 (tptp.smndt0 W1)) (tptp.smndt0 (tptp.sdtasdt0 W0 W1))) (= (tptp.sdtasdt0 (tptp.smndt0 W0) W1) (tptp.smndt0 (tptp.sdtasdt0 W0 W1))))) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (and (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 W0 (tptp.smndt0 W1))) (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 (tptp.smndt0 W0) W1)))))) :rule cong :premises (t108.t3 t108.t6))
% 1.00/1.19  (step t108 (cl (= (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (and (= (tptp.sdtasdt0 W0 (tptp.smndt0 W1)) (tptp.smndt0 (tptp.sdtasdt0 W0 W1))) (= (tptp.sdtasdt0 (tptp.smndt0 W0) W1) (tptp.smndt0 (tptp.sdtasdt0 W0 W1)))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (and (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 W0 (tptp.smndt0 W1))) (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 (tptp.smndt0 W0) W1))))))) :rule bind)
% 1.00/1.19  (step t109 (cl (= (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (and (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 W0 (tptp.smndt0 W1))) (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 (tptp.smndt0 W0) W1))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (and (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 W0 (tptp.smndt0 W1))) (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 (tptp.smndt0 W0) W1))))))) :rule all_simplify)
% 1.00/1.19  (step t110 (cl (= (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (and (= (tptp.sdtasdt0 W0 (tptp.smndt0 W1)) (tptp.smndt0 (tptp.sdtasdt0 W0 W1))) (= (tptp.sdtasdt0 (tptp.smndt0 W0) W1) (tptp.smndt0 (tptp.sdtasdt0 W0 W1)))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (and (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 W0 (tptp.smndt0 W1))) (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 (tptp.smndt0 W0) W1))))))) :rule trans :premises (t108 t109))
% 1.00/1.19  (step t111 (cl (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aScalar0 W0)) (not (tptp.aScalar0 W1)) (and (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 W0 (tptp.smndt0 W1))) (= (tptp.smndt0 (tptp.sdtasdt0 W0 W1)) (tptp.sdtasdt0 (tptp.smndt0 W0) W1)))))) :rule resolution :premises (t107 t110 a16))
% 1.00/1.19  (step t112 (cl (or (not (tptp.aScalar0 tptp.xS)) (not (tptp.aScalar0 tptp.xR)) (and (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)))))) :rule resolution :premises (t106 t111))
% 1.00/1.19  (step t113 (cl (and (= (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)) (tptp.sdtasdt0 tptp.xS (tptp.smndt0 tptp.xR))) (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR))))) :rule resolution :premises (t89 t24 t25 t112))
% 1.00/1.19  (step t114 (cl (= (tptp.sdtasdt0 (tptp.smndt0 tptp.xS) tptp.xR) (tptp.smndt0 (tptp.sdtasdt0 tptp.xS tptp.xR)))) :rule resolution :premises (t87 t113))
% 1.00/1.19  (step t115 (cl (not (and (= tptp.xS (tptp.sdtpldt0 tptp.xS tptp.sz0z00)) (= tptp.xS (tptp.sdtpldt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xS tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xS (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xS) tptp.xS)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00)))) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS)))) :rule and_pos)
% 1.00/1.19  (step t116 (cl (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (not (and (= tptp.xS (tptp.sdtpldt0 tptp.xS tptp.sz0z00)) (= tptp.xS (tptp.sdtpldt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xS tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xS (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xS) tptp.xS)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) :rule reordering :premises (t115))
% 1.00/1.19  (step t117 (cl (not (or (not (tptp.aScalar0 tptp.xS)) (and (= tptp.xS (tptp.sdtpldt0 tptp.xS tptp.sz0z00)) (= tptp.xS (tptp.sdtpldt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xS tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xS (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xS) tptp.xS)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) (not (tptp.aScalar0 tptp.xS)) (and (= tptp.xS (tptp.sdtpldt0 tptp.xS tptp.sz0z00)) (= tptp.xS (tptp.sdtpldt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xS tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xS (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xS) tptp.xS)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00)))) :rule or_pos)
% 1.00/1.19  (step t118 (cl (not (tptp.aScalar0 tptp.xS)) (and (= tptp.xS (tptp.sdtpldt0 tptp.xS tptp.sz0z00)) (= tptp.xS (tptp.sdtpldt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xS tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xS (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xS) tptp.xS)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))) (not (or (not (tptp.aScalar0 tptp.xS)) (and (= tptp.xS (tptp.sdtpldt0 tptp.xS tptp.sz0z00)) (= tptp.xS (tptp.sdtpldt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xS tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xS (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xS) tptp.xS)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00)))))) :rule reordering :premises (t117))
% 1.00/1.19  (step t119 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)) (= W0 (tptp.smndt0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) (or (not (tptp.aScalar0 tptp.xS)) (and (= tptp.xS (tptp.sdtpldt0 tptp.xS tptp.sz0z00)) (= tptp.xS (tptp.sdtpldt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xS tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xS (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xS) tptp.xS)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)) (= W0 (tptp.smndt0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00)))))) :rule implies_neg1)
% 1.00/1.19  (anchor :step t120)
% 1.00/1.19  (assume t120.a0 (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)) (= W0 (tptp.smndt0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))))
% 1.00/1.19  (step t120.t1 (cl (or (not (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)) (= W0 (tptp.smndt0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00)))))) (or (not (tptp.aScalar0 tptp.xS)) (and (= tptp.xS (tptp.sdtpldt0 tptp.xS tptp.sz0z00)) (= tptp.xS (tptp.sdtpldt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xS tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xS (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xS) tptp.xS)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00)))))) :rule forall_inst :args ((:= W0 tptp.xS)))
% 1.00/1.19  (step t120.t2 (cl (not (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)) (= W0 (tptp.smndt0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00)))))) (or (not (tptp.aScalar0 tptp.xS)) (and (= tptp.xS (tptp.sdtpldt0 tptp.xS tptp.sz0z00)) (= tptp.xS (tptp.sdtpldt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xS tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xS (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xS) tptp.xS)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) :rule or :premises (t120.t1))
% 1.00/1.19  (step t120.t3 (cl (or (not (tptp.aScalar0 tptp.xS)) (and (= tptp.xS (tptp.sdtpldt0 tptp.xS tptp.sz0z00)) (= tptp.xS (tptp.sdtpldt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xS tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xS (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xS) tptp.xS)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) :rule resolution :premises (t120.t2 t120.a0))
% 1.00/1.19  (step t120 (cl (not (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)) (= W0 (tptp.smndt0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00)))))) (or (not (tptp.aScalar0 tptp.xS)) (and (= tptp.xS (tptp.sdtpldt0 tptp.xS tptp.sz0z00)) (= tptp.xS (tptp.sdtpldt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xS tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xS (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xS) tptp.xS)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) :rule subproof :discharge (t120.a0))
% 1.00/1.19  (step t121 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)) (= W0 (tptp.smndt0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) (or (not (tptp.aScalar0 tptp.xS)) (and (= tptp.xS (tptp.sdtpldt0 tptp.xS tptp.sz0z00)) (= tptp.xS (tptp.sdtpldt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xS tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xS (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xS) tptp.xS)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) (or (not (tptp.aScalar0 tptp.xS)) (and (= tptp.xS (tptp.sdtpldt0 tptp.xS tptp.sz0z00)) (= tptp.xS (tptp.sdtpldt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xS tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xS (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xS) tptp.xS)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) :rule resolution :premises (t119 t120))
% 1.00/1.19  (step t122 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)) (= W0 (tptp.smndt0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) (or (not (tptp.aScalar0 tptp.xS)) (and (= tptp.xS (tptp.sdtpldt0 tptp.xS tptp.sz0z00)) (= tptp.xS (tptp.sdtpldt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xS tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xS (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xS) tptp.xS)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) (not (or (not (tptp.aScalar0 tptp.xS)) (and (= tptp.xS (tptp.sdtpldt0 tptp.xS tptp.sz0z00)) (= tptp.xS (tptp.sdtpldt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xS tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xS (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xS) tptp.xS)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00)))))) :rule implies_neg2)
% 1.00/1.19  (step t123 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)) (= W0 (tptp.smndt0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) (or (not (tptp.aScalar0 tptp.xS)) (and (= tptp.xS (tptp.sdtpldt0 tptp.xS tptp.sz0z00)) (= tptp.xS (tptp.sdtpldt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xS tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xS (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xS) tptp.xS)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) (=> (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)) (= W0 (tptp.smndt0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) (or (not (tptp.aScalar0 tptp.xS)) (and (= tptp.xS (tptp.sdtpldt0 tptp.xS tptp.sz0z00)) (= tptp.xS (tptp.sdtpldt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xS tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xS (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xS) tptp.xS)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00)))))) :rule resolution :premises (t121 t122))
% 1.00/1.19  (step t124 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)) (= W0 (tptp.smndt0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) (or (not (tptp.aScalar0 tptp.xS)) (and (= tptp.xS (tptp.sdtpldt0 tptp.xS tptp.sz0z00)) (= tptp.xS (tptp.sdtpldt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xS tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xS (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xS) tptp.xS)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00)))))) :rule contraction :premises (t123))
% 1.00/1.19  (step t125 (cl (not (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)) (= W0 (tptp.smndt0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00)))))) (or (not (tptp.aScalar0 tptp.xS)) (and (= tptp.xS (tptp.sdtpldt0 tptp.xS tptp.sz0z00)) (= tptp.xS (tptp.sdtpldt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xS tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xS (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xS) tptp.xS)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) :rule implies :premises (t124))
% 1.00/1.19  (step t126 (cl (not (= (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz0z00) W0) (= (tptp.sdtpldt0 tptp.sz0z00 W0) W0) (= (tptp.sdtasdt0 W0 tptp.sz0z00) tptp.sz0z00) (= (tptp.sdtasdt0 tptp.sz0z00 W0) tptp.sz0z00) (= (tptp.sdtpldt0 W0 (tptp.smndt0 W0)) tptp.sz0z00) (= (tptp.sdtpldt0 (tptp.smndt0 W0) W0) tptp.sz0z00) (= (tptp.smndt0 (tptp.smndt0 W0)) W0) (= (tptp.smndt0 tptp.sz0z00) tptp.sz0z00)))) (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)) (= W0 (tptp.smndt0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))))) (not (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz0z00) W0) (= (tptp.sdtpldt0 tptp.sz0z00 W0) W0) (= (tptp.sdtasdt0 W0 tptp.sz0z00) tptp.sz0z00) (= (tptp.sdtasdt0 tptp.sz0z00 W0) tptp.sz0z00) (= (tptp.sdtpldt0 W0 (tptp.smndt0 W0)) tptp.sz0z00) (= (tptp.sdtpldt0 (tptp.smndt0 W0) W0) tptp.sz0z00) (= (tptp.smndt0 (tptp.smndt0 W0)) W0) (= (tptp.smndt0 tptp.sz0z00) tptp.sz0z00))))) (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)) (= W0 (tptp.smndt0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00)))))) :rule equiv_pos2)
% 1.00/1.19  (anchor :step t127 :args ((W0 $$unsorted) (:= W0 W0)))
% 1.00/1.19  (step t127.t1 (cl (= W0 W0)) :rule refl)
% 1.00/1.19  (step t127.t2 (cl (= (tptp.aScalar0 W0) (tptp.aScalar0 W0))) :rule refl)
% 1.00/1.19  (step t127.t3 (cl (= (= (tptp.sdtpldt0 W0 tptp.sz0z00) W0) (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)))) :rule all_simplify)
% 1.00/1.19  (step t127.t4 (cl (= (= (tptp.sdtpldt0 tptp.sz0z00 W0) W0) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)))) :rule all_simplify)
% 1.00/1.19  (step t127.t5 (cl (= (= (tptp.sdtasdt0 W0 tptp.sz0z00) tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)))) :rule all_simplify)
% 1.00/1.19  (step t127.t6 (cl (= (= (tptp.sdtasdt0 tptp.sz0z00 W0) tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)))) :rule all_simplify)
% 1.00/1.19  (step t127.t7 (cl (= (= (tptp.sdtpldt0 W0 (tptp.smndt0 W0)) tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))))) :rule all_simplify)
% 1.00/1.19  (step t127.t8 (cl (= (= (tptp.sdtpldt0 (tptp.smndt0 W0) W0) tptp.sz0z00) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)))) :rule all_simplify)
% 1.00/1.19  (step t127.t9 (cl (= (= (tptp.smndt0 (tptp.smndt0 W0)) W0) (= W0 (tptp.smndt0 (tptp.smndt0 W0))))) :rule all_simplify)
% 1.00/1.19  (step t127.t10 (cl (= (= (tptp.smndt0 tptp.sz0z00) tptp.sz0z00) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00)))) :rule all_simplify)
% 1.00/1.19  (step t127.t11 (cl (= (and (= (tptp.sdtpldt0 W0 tptp.sz0z00) W0) (= (tptp.sdtpldt0 tptp.sz0z00 W0) W0) (= (tptp.sdtasdt0 W0 tptp.sz0z00) tptp.sz0z00) (= (tptp.sdtasdt0 tptp.sz0z00 W0) tptp.sz0z00) (= (tptp.sdtpldt0 W0 (tptp.smndt0 W0)) tptp.sz0z00) (= (tptp.sdtpldt0 (tptp.smndt0 W0) W0) tptp.sz0z00) (= (tptp.smndt0 (tptp.smndt0 W0)) W0) (= (tptp.smndt0 tptp.sz0z00) tptp.sz0z00)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)) (= W0 (tptp.smndt0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) :rule cong :premises (t127.t3 t127.t4 t127.t5 t127.t6 t127.t7 t127.t8 t127.t9 t127.t10))
% 1.00/1.19  (step t127.t12 (cl (= (=> (tptp.aScalar0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz0z00) W0) (= (tptp.sdtpldt0 tptp.sz0z00 W0) W0) (= (tptp.sdtasdt0 W0 tptp.sz0z00) tptp.sz0z00) (= (tptp.sdtasdt0 tptp.sz0z00 W0) tptp.sz0z00) (= (tptp.sdtpldt0 W0 (tptp.smndt0 W0)) tptp.sz0z00) (= (tptp.sdtpldt0 (tptp.smndt0 W0) W0) tptp.sz0z00) (= (tptp.smndt0 (tptp.smndt0 W0)) W0) (= (tptp.smndt0 tptp.sz0z00) tptp.sz0z00))) (=> (tptp.aScalar0 W0) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)) (= W0 (tptp.smndt0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00)))))) :rule cong :premises (t127.t2 t127.t11))
% 1.00/1.19  (step t127 (cl (= (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz0z00) W0) (= (tptp.sdtpldt0 tptp.sz0z00 W0) W0) (= (tptp.sdtasdt0 W0 tptp.sz0z00) tptp.sz0z00) (= (tptp.sdtasdt0 tptp.sz0z00 W0) tptp.sz0z00) (= (tptp.sdtpldt0 W0 (tptp.smndt0 W0)) tptp.sz0z00) (= (tptp.sdtpldt0 (tptp.smndt0 W0) W0) tptp.sz0z00) (= (tptp.smndt0 (tptp.smndt0 W0)) W0) (= (tptp.smndt0 tptp.sz0z00) tptp.sz0z00)))) (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)) (= W0 (tptp.smndt0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))))) :rule bind)
% 1.00/1.19  (step t128 (cl (= (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)) (= W0 (tptp.smndt0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)) (= W0 (tptp.smndt0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))))) :rule all_simplify)
% 1.00/1.19  (step t129 (cl (= (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz0z00) W0) (= (tptp.sdtpldt0 tptp.sz0z00 W0) W0) (= (tptp.sdtasdt0 W0 tptp.sz0z00) tptp.sz0z00) (= (tptp.sdtasdt0 tptp.sz0z00 W0) tptp.sz0z00) (= (tptp.sdtpldt0 W0 (tptp.smndt0 W0)) tptp.sz0z00) (= (tptp.sdtpldt0 (tptp.smndt0 W0) W0) tptp.sz0z00) (= (tptp.smndt0 (tptp.smndt0 W0)) W0) (= (tptp.smndt0 tptp.sz0z00) tptp.sz0z00)))) (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)) (= W0 (tptp.smndt0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))))) :rule trans :premises (t127 t128))
% 1.00/1.19  (step t130 (cl (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)) (= W0 (tptp.smndt0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00)))))) :rule resolution :premises (t126 t129 a12))
% 1.00/1.19  (step t131 (cl (or (not (tptp.aScalar0 tptp.xS)) (and (= tptp.xS (tptp.sdtpldt0 tptp.xS tptp.sz0z00)) (= tptp.xS (tptp.sdtpldt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xS tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xS (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xS) tptp.xS)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) :rule resolution :premises (t125 t130))
% 1.00/1.19  (step t132 (cl (and (= tptp.xS (tptp.sdtpldt0 tptp.xS tptp.sz0z00)) (= tptp.xS (tptp.sdtpldt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xS tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xS)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xS (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xS) tptp.xS)) (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00)))) :rule resolution :premises (t118 t25 t131))
% 1.00/1.19  (step t133 (cl (= tptp.xS (tptp.smndt0 (tptp.smndt0 tptp.xS)))) :rule resolution :premises (t116 t132))
% 1.00/1.19  (step t134 (cl (not (and (= tptp.xR (tptp.sdtpldt0 tptp.xR tptp.sz0z00)) (= tptp.xR (tptp.sdtpldt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xR tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xR (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xR) tptp.xR)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00)))) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR)))) :rule and_pos)
% 1.00/1.19  (step t135 (cl (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (not (and (= tptp.xR (tptp.sdtpldt0 tptp.xR tptp.sz0z00)) (= tptp.xR (tptp.sdtpldt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xR tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xR (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xR) tptp.xR)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) :rule reordering :premises (t134))
% 1.00/1.19  (step t136 (cl (not (or (not (tptp.aScalar0 tptp.xR)) (and (= tptp.xR (tptp.sdtpldt0 tptp.xR tptp.sz0z00)) (= tptp.xR (tptp.sdtpldt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xR tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xR (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xR) tptp.xR)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) (not (tptp.aScalar0 tptp.xR)) (and (= tptp.xR (tptp.sdtpldt0 tptp.xR tptp.sz0z00)) (= tptp.xR (tptp.sdtpldt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xR tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xR (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xR) tptp.xR)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00)))) :rule or_pos)
% 1.00/1.19  (step t137 (cl (not (tptp.aScalar0 tptp.xR)) (and (= tptp.xR (tptp.sdtpldt0 tptp.xR tptp.sz0z00)) (= tptp.xR (tptp.sdtpldt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xR tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xR (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xR) tptp.xR)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))) (not (or (not (tptp.aScalar0 tptp.xR)) (and (= tptp.xR (tptp.sdtpldt0 tptp.xR tptp.sz0z00)) (= tptp.xR (tptp.sdtpldt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xR tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xR (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xR) tptp.xR)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00)))))) :rule reordering :premises (t136))
% 1.00/1.19  (step t138 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)) (= W0 (tptp.smndt0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) (or (not (tptp.aScalar0 tptp.xR)) (and (= tptp.xR (tptp.sdtpldt0 tptp.xR tptp.sz0z00)) (= tptp.xR (tptp.sdtpldt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xR tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xR (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xR) tptp.xR)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)) (= W0 (tptp.smndt0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00)))))) :rule implies_neg1)
% 1.00/1.19  (anchor :step t139)
% 1.00/1.19  (assume t139.a0 (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)) (= W0 (tptp.smndt0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))))
% 1.00/1.19  (step t139.t1 (cl (or (not (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)) (= W0 (tptp.smndt0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00)))))) (or (not (tptp.aScalar0 tptp.xR)) (and (= tptp.xR (tptp.sdtpldt0 tptp.xR tptp.sz0z00)) (= tptp.xR (tptp.sdtpldt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xR tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xR (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xR) tptp.xR)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00)))))) :rule forall_inst :args ((:= W0 tptp.xR)))
% 1.00/1.19  (step t139.t2 (cl (not (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)) (= W0 (tptp.smndt0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00)))))) (or (not (tptp.aScalar0 tptp.xR)) (and (= tptp.xR (tptp.sdtpldt0 tptp.xR tptp.sz0z00)) (= tptp.xR (tptp.sdtpldt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xR tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xR (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xR) tptp.xR)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) :rule or :premises (t139.t1))
% 1.00/1.19  (step t139.t3 (cl (or (not (tptp.aScalar0 tptp.xR)) (and (= tptp.xR (tptp.sdtpldt0 tptp.xR tptp.sz0z00)) (= tptp.xR (tptp.sdtpldt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xR tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xR (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xR) tptp.xR)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) :rule resolution :premises (t139.t2 t139.a0))
% 1.00/1.19  (step t139 (cl (not (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)) (= W0 (tptp.smndt0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00)))))) (or (not (tptp.aScalar0 tptp.xR)) (and (= tptp.xR (tptp.sdtpldt0 tptp.xR tptp.sz0z00)) (= tptp.xR (tptp.sdtpldt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xR tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xR (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xR) tptp.xR)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) :rule subproof :discharge (t139.a0))
% 1.00/1.19  (step t140 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)) (= W0 (tptp.smndt0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) (or (not (tptp.aScalar0 tptp.xR)) (and (= tptp.xR (tptp.sdtpldt0 tptp.xR tptp.sz0z00)) (= tptp.xR (tptp.sdtpldt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xR tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xR (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xR) tptp.xR)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) (or (not (tptp.aScalar0 tptp.xR)) (and (= tptp.xR (tptp.sdtpldt0 tptp.xR tptp.sz0z00)) (= tptp.xR (tptp.sdtpldt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xR tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xR (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xR) tptp.xR)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) :rule resolution :premises (t138 t139))
% 1.00/1.19  (step t141 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)) (= W0 (tptp.smndt0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) (or (not (tptp.aScalar0 tptp.xR)) (and (= tptp.xR (tptp.sdtpldt0 tptp.xR tptp.sz0z00)) (= tptp.xR (tptp.sdtpldt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xR tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xR (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xR) tptp.xR)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) (not (or (not (tptp.aScalar0 tptp.xR)) (and (= tptp.xR (tptp.sdtpldt0 tptp.xR tptp.sz0z00)) (= tptp.xR (tptp.sdtpldt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xR tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xR (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xR) tptp.xR)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00)))))) :rule implies_neg2)
% 1.00/1.19  (step t142 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)) (= W0 (tptp.smndt0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) (or (not (tptp.aScalar0 tptp.xR)) (and (= tptp.xR (tptp.sdtpldt0 tptp.xR tptp.sz0z00)) (= tptp.xR (tptp.sdtpldt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xR tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xR (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xR) tptp.xR)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) (=> (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)) (= W0 (tptp.smndt0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) (or (not (tptp.aScalar0 tptp.xR)) (and (= tptp.xR (tptp.sdtpldt0 tptp.xR tptp.sz0z00)) (= tptp.xR (tptp.sdtpldt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xR tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xR (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xR) tptp.xR)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00)))))) :rule resolution :premises (t140 t141))
% 1.00/1.19  (step t143 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)) (= W0 (tptp.smndt0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) (or (not (tptp.aScalar0 tptp.xR)) (and (= tptp.xR (tptp.sdtpldt0 tptp.xR tptp.sz0z00)) (= tptp.xR (tptp.sdtpldt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xR tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xR (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xR) tptp.xR)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00)))))) :rule contraction :premises (t142))
% 1.00/1.19  (step t144 (cl (not (forall ((W0 $$unsorted)) (or (not (tptp.aScalar0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz0z00)) (= W0 (tptp.sdtpldt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtasdt0 W0 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 W0)) (= tptp.sz0z00 (tptp.sdtpldt0 W0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 W0) W0)) (= W0 (tptp.smndt0 (tptp.smndt0 W0))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00)))))) (or (not (tptp.aScalar0 tptp.xR)) (and (= tptp.xR (tptp.sdtpldt0 tptp.xR tptp.sz0z00)) (= tptp.xR (tptp.sdtpldt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xR tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xR (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xR) tptp.xR)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) :rule implies :premises (t143))
% 1.00/1.19  (step t145 (cl (or (not (tptp.aScalar0 tptp.xR)) (and (= tptp.xR (tptp.sdtpldt0 tptp.xR tptp.sz0z00)) (= tptp.xR (tptp.sdtpldt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xR tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xR (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xR) tptp.xR)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00))))) :rule resolution :premises (t144 t130))
% 1.00/1.19  (step t146 (cl (and (= tptp.xR (tptp.sdtpldt0 tptp.xR tptp.sz0z00)) (= tptp.xR (tptp.sdtpldt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.xR tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.xR)) (= tptp.sz0z00 (tptp.sdtpldt0 tptp.xR (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.sdtpldt0 (tptp.smndt0 tptp.xR) tptp.xR)) (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR))) (= tptp.sz0z00 (tptp.smndt0 tptp.sz0z00)))) :rule resolution :premises (t137 t24 t145))
% 1.00/1.19  (step t147 (cl (= tptp.xR (tptp.smndt0 (tptp.smndt0 tptp.xR)))) :rule resolution :premises (t135 t146))
% 1.00/1.19  (step t148 (cl (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS))) :rule and :premises (a54))
% 1.00/1.19  (step t149 (cl) :rule resolution :premises (t19 t38 t85 t114 t133 t147 a57 t148))
% 1.00/1.19  
% 1.00/1.19  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.isxrMpf9Va/cvc5---1.0.5_26430.smt2
% 1.00/1.19  % cvc5---1.0.5 exiting
% 1.00/1.20  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------