%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : RNG047+2 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n016.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 17:41:35 EDT 2024

% Result   : Theorem 0.49s 0.66s
% Output   : Proof 0.49s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : RNG047+2 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat May 25 21:56:39 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.21/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.49/0.66  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.49/0.66  % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.tBqEtTVptG/cvc5---1.0.5_22632.smt2
% 0.49/0.66  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.tBqEtTVptG/cvc5---1.0.5_22632.smt2
% 0.49/0.66  (assume a0 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) true)))
% 0.49/0.66  (assume a1 (tptp.aNaturalNumber0 tptp.sz00))
% 0.49/0.66  (assume a2 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (tptp.aNaturalNumber0 (tptp.szszuzczcdt0 W0)) (not (= (tptp.szszuzczcdt0 W0) tptp.sz00))))))
% 0.49/0.66  (assume a3 (forall ((W0 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (not (= W0 tptp.sz00))) (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (= W0 (tptp.szszuzczcdt0 W1)))))))
% 0.49/0.66  (assume a4 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1)) (= W0 W1)))))
% 0.49/0.66  (assume a5 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (tptp.iLess0 W0 W1) true))))
% 0.49/0.66  (assume a6 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (tptp.iLess0 W0 (tptp.szszuzczcdt0 W0)))))
% 0.49/0.66  (assume a7 (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) true)))
% 0.49/0.66  (assume a8 (tptp.aScalar0 tptp.sz0z00))
% 0.49/0.66  (assume a9 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (tptp.aScalar0 (tptp.sdtpldt0 W0 W1)))))
% 0.49/0.66  (assume a10 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (tptp.aScalar0 (tptp.sdtasdt0 W0 W1)))))
% 0.49/0.66  (assume a11 (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.aScalar0 (tptp.smndt0 W0)))))
% 0.49/0.66  (assume a12 (forall ((W0 $$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)))))
% 0.49/0.66  (assume a13 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1) (tptp.aScalar0 W2)) (and (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0))))))
% 0.49/0.66  (assume a14 (forall ((W0 $$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)))))))
% 0.49/0.66  (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)))))))
% 0.49/0.66  (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)))))))
% 0.49/0.66  (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)))))
% 0.49/0.66  (assume a18 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (=> (tptp.sdtlseqdt0 W0 W1) true))))
% 0.49/0.66  (assume a19 (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.sdtlseqdt0 W0 W0))))
% 0.49/0.66  (assume a20 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W0)) (= W0 W1)))))
% 0.49/0.66  (assume a21 (forall ((W0 $$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)))))
% 0.49/0.66  (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))))))
% 0.49/0.66  (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))))))
% 0.49/0.66  (assume a24 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (or (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W0)))))
% 0.49/0.66  (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)))))))
% 0.49/0.66  (assume a26 (forall ((W0 $$unsorted)) (=> (tptp.aScalar0 W0) (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasdt0 W0 W0)))))
% 0.49/0.66  (assume a27 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aScalar0 W0) (tptp.aScalar0 W1)) (=> (and (tptp.sdtlseqdt0 tptp.sz0z00 W0) (tptp.sdtlseqdt0 tptp.sz0z00 W1) (= (tptp.sdtasdt0 W0 W0) (tptp.sdtasdt0 W1 W1))) (= W0 W1)))))
% 0.49/0.66  (assume a28 (forall ((W0 $$unsorted)) (=> (tptp.aVector0 W0) true)))
% 0.49/0.66  (assume a29 (forall ((W0 $$unsorted)) (=> (tptp.aVector0 W0) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0)))))
% 0.49/0.66  (assume a30 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aVector0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aScalar0 (tptp.sdtlbdtrb0 W0 W1)))))
% 0.49/0.66  (assume a31 (forall ((W0 $$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)))))))))))
% 0.49/0.66  (assume a32 (and (tptp.aVector0 tptp.xs) (tptp.aVector0 tptp.xt)))
% 0.49/0.66  (assume a33 (and (= (tptp.aDimensionOf0 tptp.xs) (tptp.aDimensionOf0 tptp.xt)) (not (= (tptp.aDimensionOf0 tptp.xt) tptp.sz00))))
% 0.49/0.66  (assume a34 (not (=> (and (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs)) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.aDimensionOf0 tptp.xs)) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (= (tptp.sdtlbdtrb0 (tptp.sziznziztdt0 tptp.xs) W0) (tptp.sdtlbdtrb0 tptp.xs W0))))) (=> (and (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt)) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))) (tptp.aDimensionOf0 tptp.xt)) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (= (tptp.sdtlbdtrb0 (tptp.sziznziztdt0 tptp.xt) W0) (tptp.sdtlbdtrb0 tptp.xt W0))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))))
% 0.49/0.66  (assume a35 true)
% 0.49/0.66  (step t1 (cl (not (= (or (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs))) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (not (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) (or (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs))) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) (not (or (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs))) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (not (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))))) (or (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs))) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) :rule equiv_pos2)
% 0.49/0.66  (step t2 (cl (= (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs))) (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs))))) :rule refl)
% 0.49/0.66  (step t3 (cl (= (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))))) :rule refl)
% 0.49/0.66  (step t4 (cl (= (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) :rule refl)
% 0.49/0.66  (step t5 (cl (= (= (= (not (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) true) (= (not (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) :rule equiv_simplify)
% 0.49/0.66  (step t6 (cl (not (= (= (not (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) true)) (= (not (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) :rule equiv1 :premises (t5))
% 0.49/0.66  (step t7 (cl (= (= (not (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))))) :rule all_simplify)
% 0.49/0.66  (step t8 (cl (= (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) :rule refl)
% 0.49/0.66  (step t9 (cl (= (not (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) :rule all_simplify)
% 0.49/0.66  (step t10 (cl (= (= (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) (= (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) :rule cong :premises (t8 t9))
% 0.49/0.66  (step t11 (cl (= (= (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) true)) :rule all_simplify)
% 0.49/0.66  (step t12 (cl (= (= (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) true)) :rule trans :premises (t10 t11))
% 0.49/0.66  (step t13 (cl (= (= (not (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) true)) :rule trans :premises (t7 t12))
% 0.49/0.66  (step t14 (cl (= (not (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) :rule resolution :premises (t6 t13))
% 0.49/0.66  (step t15 (cl (= (or (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs))) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (not (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) (or (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs))) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) :rule cong :premises (t2 t3 t4 t14))
% 0.49/0.66  (step t16 (cl (not (= (=> (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (not (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))))) (not (=> (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) (not (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))))) :rule equiv_pos2)
% 0.49/0.66  (step t17 (cl (= (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))))) :rule refl)
% 0.49/0.66  (step t18 (cl (= (= (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) false) (not (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))))) :rule equiv_simplify)
% 0.49/0.66  (step t19 (cl (= (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) false) (not (not (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))))) :rule equiv2 :premises (t18))
% 0.49/0.66  (step t20 (cl (not (not (not (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))))) (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) :rule not_not)
% 0.49/0.66  (step t21 (cl (= (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) false) (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) :rule resolution :premises (t19 t20))
% 0.49/0.66  (step t22 (cl (=> (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) false) (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) :rule implies_neg1)
% 0.49/0.66  (anchor :step t23)
% 0.49/0.66  (assume t23.a0 (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))
% 0.49/0.66  (assume t23.a1 (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))))
% 0.49/0.66  (assume t23.a2 (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)))
% 0.49/0.66  (assume t23.a3 (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))
% 0.49/0.66  (step t23.t1 (cl (not (= (= true false) false)) (not (= true false)) false) :rule equiv_pos2)
% 0.49/0.66  (step t23.t2 (cl (= (= true false) false)) :rule all_simplify)
% 0.49/0.66  (step t23.t3 (cl (= (= (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) true) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) :rule equiv_simplify)
% 0.49/0.66  (step t23.t4 (cl (= (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) true) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) :rule equiv2 :premises (t23.t3))
% 0.49/0.66  (step t23.t5 (cl (= (tptp.aDimensionOf0 tptp.xs) (tptp.aDimensionOf0 tptp.xt))) :rule symm :premises (t23.a2))
% 0.49/0.66  (step t23.t6 (cl (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs))) :rule symm :premises (t23.t5))
% 0.49/0.66  (step t23.t7 (cl (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.aDimensionOf0 tptp.xs))) :rule symm :premises (t23.a1))
% 0.49/0.66  (step t23.t8 (cl (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) :rule symm :premises (t23.t7))
% 0.49/0.66  (step t23.t9 (cl (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) :rule trans :premises (t23.t6 t23.t8))
% 0.49/0.66  (step t23.t10 (cl (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.aDimensionOf0 tptp.xt))) :rule symm :premises (t23.t9))
% 0.49/0.66  (step t23.t11 (cl (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))) (tptp.aDimensionOf0 tptp.xt))) :rule symm :premises (t23.a3))
% 0.49/0.66  (step t23.t12 (cl (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) :rule symm :premises (t23.t11))
% 0.49/0.66  (step t23.t13 (cl (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) :rule trans :premises (t23.t5 t23.t12))
% 0.49/0.66  (step t23.t14 (cl (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) :rule trans :premises (t23.t10 t23.t6 t23.t13))
% 0.49/0.66  (step t23.t15 (cl (= (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) true)) :rule resolution :premises (t23.t4 t23.t14))
% 0.49/0.66  (step t23.t16 (cl (= true (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) :rule symm :premises (t23.t15))
% 0.49/0.66  (step t23.t17 (cl (= (= (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) false) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) :rule equiv_simplify)
% 0.49/0.66  (step t23.t18 (cl (= (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) false) (not (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) :rule equiv2 :premises (t23.t17))
% 0.49/0.66  (step t23.t19 (cl (not (not (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) :rule not_not)
% 0.49/0.66  (step t23.t20 (cl (= (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) false) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) :rule resolution :premises (t23.t18 t23.t19))
% 0.49/0.66  (step t23.t21 (cl (= (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) false)) :rule resolution :premises (t23.t20 t23.a0))
% 0.49/0.66  (step t23.t22 (cl (= true false)) :rule trans :premises (t23.t16 t23.t21))
% 0.49/0.66  (step t23.t23 (cl false) :rule resolution :premises (t23.t1 t23.t2 t23.t22))
% 0.49/0.66  (step t23 (cl (not (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs))) (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) false) :rule subproof :discharge (t23.a0 t23.a1 t23.a2 t23.a3))
% 0.49/0.66  (step t24 (cl (not (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) :rule and_pos)
% 0.49/0.66  (step t25 (cl (not (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) :rule and_pos)
% 0.49/0.66  (step t26 (cl (not (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs))) :rule and_pos)
% 0.49/0.66  (step t27 (cl (not (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) :rule and_pos)
% 0.49/0.66  (step t28 (cl false (not (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (not (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (not (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (not (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) :rule resolution :premises (t23 t24 t25 t26 t27))
% 0.49/0.66  (step t29 (cl (not (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (not (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (not (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (not (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) false) :rule reordering :premises (t28))
% 0.49/0.66  (step t30 (cl (not (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) false) :rule contraction :premises (t29))
% 0.49/0.66  (step t31 (cl (=> (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) false) false) :rule resolution :premises (t22 t30))
% 0.49/0.66  (step t32 (cl (=> (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) false) (not false)) :rule implies_neg2)
% 0.49/0.66  (step t33 (cl (=> (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) false) (=> (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) false)) :rule resolution :premises (t31 t32))
% 0.49/0.66  (step t34 (cl (=> (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) false)) :rule contraction :premises (t33))
% 0.49/0.66  (step t35 (cl (= (=> (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) false) (not (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))))) :rule implies_simplify)
% 0.49/0.66  (step t36 (cl (not (=> (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) false)) (not (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) :rule equiv1 :premises (t35))
% 0.49/0.66  (step t37 (cl (not (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) :rule resolution :premises (t34 t36))
% 0.49/0.66  (step t38 (cl (= (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) false)) :rule resolution :premises (t21 t37))
% 0.49/0.66  (step t39 (cl (= (=> (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (=> (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) false))) :rule cong :premises (t17 t38))
% 0.49/0.66  (step t40 (cl (= (=> (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) false) (not (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))))) :rule all_simplify)
% 0.49/0.66  (step t41 (cl (= (=> (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (not (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))))) :rule trans :premises (t39 t40))
% 0.49/0.66  (step t42 (cl (=> (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) :rule implies_neg1)
% 0.49/0.66  (anchor :step t43)
% 0.49/0.66  (assume t43.a0 (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)))
% 0.49/0.66  (assume t43.a1 (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))))
% 0.49/0.66  (assume t43.a2 (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))
% 0.49/0.66  (assume t43.a3 (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))
% 0.49/0.66  (step t43.t1 (cl (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (not (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs))) (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) :rule and_neg)
% 0.49/0.66  (step t43.t2 (cl (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) :rule resolution :premises (t43.t1 t43.a3 t43.a1 t43.a0 t43.a2))
% 0.49/0.66  (step t43 (cl (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs))) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (not (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) :rule subproof :discharge (t43.a0 t43.a1 t43.a2 t43.a3))
% 0.49/0.66  (step t44 (cl (not (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs))) :rule and_pos)
% 0.49/0.66  (step t45 (cl (not (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) :rule and_pos)
% 0.49/0.66  (step t46 (cl (not (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) :rule and_pos)
% 0.49/0.66  (step t47 (cl (not (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) :rule and_pos)
% 0.49/0.66  (step t48 (cl (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (not (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) (not (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) (not (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) (not (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))))) :rule resolution :premises (t43 t44 t45 t46 t47))
% 0.49/0.66  (step t49 (cl (not (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) (not (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) (not (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) (not (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) :rule reordering :premises (t48))
% 0.49/0.66  (step t50 (cl (not (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) :rule contraction :premises (t49))
% 0.49/0.66  (step t51 (cl (=> (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) :rule resolution :premises (t42 t50))
% 0.49/0.66  (step t52 (cl (=> (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (not (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) :rule implies_neg2)
% 0.49/0.66  (step t53 (cl (=> (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (=> (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) :rule resolution :premises (t51 t52))
% 0.49/0.66  (step t54 (cl (=> (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (and (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) :rule contraction :premises (t53))
% 0.49/0.66  (step t55 (cl (not (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))))) :rule resolution :premises (t16 t41 t54))
% 0.49/0.66  (step t56 (cl (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs))) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (not (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) :rule not_and :premises (t55))
% 0.49/0.66  (step t57 (cl (or (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs))) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (not (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) (not (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs))))) :rule or_neg)
% 0.49/0.66  (step t58 (cl (or (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs))) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (not (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) (not (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))))) :rule or_neg)
% 0.49/0.66  (step t59 (cl (or (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs))) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (not (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) (not (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) :rule or_neg)
% 0.49/0.66  (step t60 (cl (or (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs))) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (not (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) (not (not (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))))) :rule or_neg)
% 0.49/0.66  (step t61 (cl (or (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs))) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (not (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) (or (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs))) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (not (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) (or (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs))) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (not (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) (or (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs))) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (not (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))))) :rule resolution :premises (t56 t57 t58 t59 t60))
% 0.49/0.66  (step t62 (cl (or (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs))) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (not (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))))) :rule contraction :premises (t61))
% 0.49/0.66  (step t63 (cl (or (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs))) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) :rule resolution :premises (t1 t15 t62))
% 0.49/0.66  (step t64 (cl (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs))) (not (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (not (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) :rule or :premises (t63))
% 0.49/0.66  (step t65 (cl (not (or (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) :rule or_pos)
% 0.49/0.66  (step t66 (cl (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (not (or (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))))) :rule reordering :premises (t65))
% 0.49/0.66  (step t67 (cl (not (= (not (=> (and (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs)) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.aDimensionOf0 tptp.xs)) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (= (tptp.sdtlbdtrb0 (tptp.sziznziztdt0 tptp.xs) W0) (tptp.sdtlbdtrb0 tptp.xs W0))))) (=> (and (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt)) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))) (tptp.aDimensionOf0 tptp.xt)) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (= (tptp.sdtlbdtrb0 (tptp.sziznziztdt0 tptp.xt) W0) (tptp.sdtlbdtrb0 tptp.xt W0))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (not (=> (and (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (= (tptp.sdtlbdtrb0 (tptp.sziznziztdt0 tptp.xs) W0) (tptp.sdtlbdtrb0 tptp.xs W0))))) (=> (and (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (= (tptp.sdtlbdtrb0 (tptp.sziznziztdt0 tptp.xt) W0) (tptp.sdtlbdtrb0 tptp.xt W0))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))))))) (not (not (=> (and (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs)) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.aDimensionOf0 tptp.xs)) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (= (tptp.sdtlbdtrb0 (tptp.sziznziztdt0 tptp.xs) W0) (tptp.sdtlbdtrb0 tptp.xs W0))))) (=> (and (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt)) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))) (tptp.aDimensionOf0 tptp.xt)) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (= (tptp.sdtlbdtrb0 (tptp.sziznziztdt0 tptp.xt) W0) (tptp.sdtlbdtrb0 tptp.xt W0))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) (not (=> (and (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (= (tptp.sdtlbdtrb0 (tptp.sziznziztdt0 tptp.xs) W0) (tptp.sdtlbdtrb0 tptp.xs W0))))) (=> (and (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (= (tptp.sdtlbdtrb0 (tptp.sziznziztdt0 tptp.xt) W0) (tptp.sdtlbdtrb0 tptp.xt W0))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))))) :rule equiv_pos2)
% 0.49/0.66  (step t68 (cl (= (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs)) (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs)))) :rule refl)
% 0.49/0.66  (step t69 (cl (= (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.aDimensionOf0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))))) :rule all_simplify)
% 0.49/0.66  (step t70 (cl (= (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (= (tptp.sdtlbdtrb0 (tptp.sziznziztdt0 tptp.xs) W0) (tptp.sdtlbdtrb0 tptp.xs W0)))) (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (= (tptp.sdtlbdtrb0 (tptp.sziznziztdt0 tptp.xs) W0) (tptp.sdtlbdtrb0 tptp.xs W0)))))) :rule all_simplify)
% 0.49/0.66  (step t71 (cl (= (and (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs)) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.aDimensionOf0 tptp.xs)) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (= (tptp.sdtlbdtrb0 (tptp.sziznziztdt0 tptp.xs) W0) (tptp.sdtlbdtrb0 tptp.xs W0))))) (and (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (= (tptp.sdtlbdtrb0 (tptp.sziznziztdt0 tptp.xs) W0) (tptp.sdtlbdtrb0 tptp.xs W0))))))) :rule cong :premises (t68 t69 t70))
% 0.49/0.66  (step t72 (cl (= (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt)))) :rule refl)
% 0.49/0.66  (step t73 (cl (= (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))) (tptp.aDimensionOf0 tptp.xt)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) :rule all_simplify)
% 0.49/0.66  (step t74 (cl (= (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (= (tptp.sdtlbdtrb0 (tptp.sziznziztdt0 tptp.xt) W0) (tptp.sdtlbdtrb0 tptp.xt W0)))) (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (= (tptp.sdtlbdtrb0 (tptp.sziznziztdt0 tptp.xt) W0) (tptp.sdtlbdtrb0 tptp.xt W0)))))) :rule all_simplify)
% 0.49/0.66  (step t75 (cl (= (and (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt)) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))) (tptp.aDimensionOf0 tptp.xt)) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (= (tptp.sdtlbdtrb0 (tptp.sziznziztdt0 tptp.xt) W0) (tptp.sdtlbdtrb0 tptp.xt W0))))) (and (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (= (tptp.sdtlbdtrb0 (tptp.sziznziztdt0 tptp.xt) W0) (tptp.sdtlbdtrb0 tptp.xt W0))))))) :rule cong :premises (t72 t73 t74))
% 0.49/0.66  (step t76 (cl (= (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) :rule all_simplify)
% 0.49/0.66  (step t77 (cl (= (=> (and (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt)) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))) (tptp.aDimensionOf0 tptp.xt)) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (= (tptp.sdtlbdtrb0 (tptp.sziznziztdt0 tptp.xt) W0) (tptp.sdtlbdtrb0 tptp.xt W0))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (=> (and (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (= (tptp.sdtlbdtrb0 (tptp.sziznziztdt0 tptp.xt) W0) (tptp.sdtlbdtrb0 tptp.xt W0))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))))) :rule cong :premises (t75 t76))
% 0.49/0.66  (step t78 (cl (= (=> (and (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs)) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.aDimensionOf0 tptp.xs)) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (= (tptp.sdtlbdtrb0 (tptp.sziznziztdt0 tptp.xs) W0) (tptp.sdtlbdtrb0 tptp.xs W0))))) (=> (and (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt)) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))) (tptp.aDimensionOf0 tptp.xt)) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (= (tptp.sdtlbdtrb0 (tptp.sziznziztdt0 tptp.xt) W0) (tptp.sdtlbdtrb0 tptp.xt W0))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (=> (and (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (= (tptp.sdtlbdtrb0 (tptp.sziznziztdt0 tptp.xs) W0) (tptp.sdtlbdtrb0 tptp.xs W0))))) (=> (and (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (= (tptp.sdtlbdtrb0 (tptp.sziznziztdt0 tptp.xt) W0) (tptp.sdtlbdtrb0 tptp.xt W0))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))))) :rule cong :premises (t71 t77))
% 0.49/0.66  (step t79 (cl (= (not (=> (and (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs)) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.aDimensionOf0 tptp.xs)) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (= (tptp.sdtlbdtrb0 (tptp.sziznziztdt0 tptp.xs) W0) (tptp.sdtlbdtrb0 tptp.xs W0))))) (=> (and (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt)) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))) (tptp.aDimensionOf0 tptp.xt)) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (= (tptp.sdtlbdtrb0 (tptp.sziznziztdt0 tptp.xt) W0) (tptp.sdtlbdtrb0 tptp.xt W0))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) (not (=> (and (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (= (tptp.sdtlbdtrb0 (tptp.sziznziztdt0 tptp.xs) W0) (tptp.sdtlbdtrb0 tptp.xs W0))))) (=> (and (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (= (tptp.sdtlbdtrb0 (tptp.sziznziztdt0 tptp.xt) W0) (tptp.sdtlbdtrb0 tptp.xt W0))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))))))) :rule cong :premises (t78))
% 0.49/0.66  (step t80 (cl (not (=> (and (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (= (tptp.sdtlbdtrb0 (tptp.sziznziztdt0 tptp.xs) W0) (tptp.sdtlbdtrb0 tptp.xs W0))))) (=> (and (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (= (tptp.sdtlbdtrb0 (tptp.sziznziztdt0 tptp.xt) W0) (tptp.sdtlbdtrb0 tptp.xt W0))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))))) :rule resolution :premises (t67 t79 a34))
% 0.49/0.66  (step t81 (cl (not (=> (and (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (= (tptp.sdtlbdtrb0 (tptp.sziznziztdt0 tptp.xt) W0) (tptp.sdtlbdtrb0 tptp.xt W0))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))))) :rule not_implies2 :premises (t80))
% 0.49/0.66  (step t82 (cl (not (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) :rule not_implies2 :premises (t81))
% 0.49/0.66  (step t83 (cl (not (or (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) :rule or_pos)
% 0.49/0.66  (step t84 (cl (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))) (not (or (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) :rule reordering :premises (t83))
% 0.49/0.66  (step t85 (cl (and (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (= (tptp.sdtlbdtrb0 (tptp.sziznziztdt0 tptp.xt) W0) (tptp.sdtlbdtrb0 tptp.xt W0)))))) :rule not_implies1 :premises (t81))
% 0.49/0.66  (step t86 (cl (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt))) :rule and :premises (t85))
% 0.49/0.66  (step t87 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aVector0 W0)) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0)))) (or (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (forall ((W0 $$unsorted)) (or (not (tptp.aVector0 W0)) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0))))) :rule implies_neg1)
% 0.49/0.66  (anchor :step t88)
% 0.49/0.66  (assume t88.a0 (forall ((W0 $$unsorted)) (or (not (tptp.aVector0 W0)) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0)))))
% 0.49/0.66  (step t88.t1 (cl (or (not (forall ((W0 $$unsorted)) (or (not (tptp.aVector0 W0)) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0))))) (or (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) :rule forall_inst :args ((:= W0 (tptp.sziznziztdt0 tptp.xt))))
% 0.49/0.66  (step t88.t2 (cl (not (forall ((W0 $$unsorted)) (or (not (tptp.aVector0 W0)) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0))))) (or (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) :rule or :premises (t88.t1))
% 0.49/0.66  (step t88.t3 (cl (or (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) :rule resolution :premises (t88.t2 t88.a0))
% 0.49/0.66  (step t88 (cl (not (forall ((W0 $$unsorted)) (or (not (tptp.aVector0 W0)) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0))))) (or (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) :rule subproof :discharge (t88.a0))
% 0.49/0.66  (step t89 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aVector0 W0)) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0)))) (or (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (or (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) :rule resolution :premises (t87 t88))
% 0.49/0.66  (step t90 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aVector0 W0)) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0)))) (or (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (not (or (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) :rule implies_neg2)
% 0.49/0.66  (step t91 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aVector0 W0)) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0)))) (or (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (=> (forall ((W0 $$unsorted)) (or (not (tptp.aVector0 W0)) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0)))) (or (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) :rule resolution :premises (t89 t90))
% 0.49/0.66  (step t92 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aVector0 W0)) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0)))) (or (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) :rule contraction :premises (t91))
% 0.49/0.66  (step t93 (cl (not (forall ((W0 $$unsorted)) (or (not (tptp.aVector0 W0)) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0))))) (or (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) :rule implies :premises (t92))
% 0.49/0.66  (step t94 (cl (not (= (forall ((W0 $$unsorted)) (=> (tptp.aVector0 W0) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0)))) (forall ((W0 $$unsorted)) (or (not (tptp.aVector0 W0)) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0)))))) (not (forall ((W0 $$unsorted)) (=> (tptp.aVector0 W0) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0))))) (forall ((W0 $$unsorted)) (or (not (tptp.aVector0 W0)) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0))))) :rule equiv_pos2)
% 0.49/0.66  (step t95 (cl (= (forall ((W0 $$unsorted)) (=> (tptp.aVector0 W0) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0)))) (forall ((W0 $$unsorted)) (or (not (tptp.aVector0 W0)) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0)))))) :rule all_simplify)
% 0.49/0.66  (step t96 (cl (forall ((W0 $$unsorted)) (or (not (tptp.aVector0 W0)) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0))))) :rule resolution :premises (t94 t95 a29))
% 0.49/0.66  (step t97 (cl (or (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xt))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) :rule resolution :premises (t93 t96))
% 0.49/0.66  (step t98 (cl (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) :rule resolution :premises (t84 t86 t97))
% 0.49/0.66  (step t99 (cl (not (or (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) :rule or_pos)
% 0.49/0.66  (step t100 (cl (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (not (or (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))))) :rule reordering :premises (t99))
% 0.49/0.66  (step t101 (cl (and (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs)) (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (= (tptp.sdtlbdtrb0 (tptp.sziznziztdt0 tptp.xs) W0) (tptp.sdtlbdtrb0 tptp.xs W0)))))) :rule not_implies1 :premises (t80))
% 0.49/0.66  (step t102 (cl (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs))) :rule and :premises (t101))
% 0.49/0.66  (step t103 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aVector0 W0)) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0)))) (or (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (forall ((W0 $$unsorted)) (or (not (tptp.aVector0 W0)) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0))))) :rule implies_neg1)
% 0.49/0.66  (anchor :step t104)
% 0.49/0.66  (assume t104.a0 (forall ((W0 $$unsorted)) (or (not (tptp.aVector0 W0)) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0)))))
% 0.49/0.66  (step t104.t1 (cl (or (not (forall ((W0 $$unsorted)) (or (not (tptp.aVector0 W0)) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0))))) (or (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))))) :rule forall_inst :args ((:= W0 (tptp.sziznziztdt0 tptp.xs))))
% 0.49/0.66  (step t104.t2 (cl (not (forall ((W0 $$unsorted)) (or (not (tptp.aVector0 W0)) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0))))) (or (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) :rule or :premises (t104.t1))
% 0.49/0.66  (step t104.t3 (cl (or (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) :rule resolution :premises (t104.t2 t104.a0))
% 0.49/0.66  (step t104 (cl (not (forall ((W0 $$unsorted)) (or (not (tptp.aVector0 W0)) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0))))) (or (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) :rule subproof :discharge (t104.a0))
% 0.49/0.66  (step t105 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aVector0 W0)) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0)))) (or (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (or (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) :rule resolution :premises (t103 t104))
% 0.49/0.66  (step t106 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aVector0 W0)) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0)))) (or (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (not (or (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))))) :rule implies_neg2)
% 0.49/0.66  (step t107 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aVector0 W0)) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0)))) (or (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (=> (forall ((W0 $$unsorted)) (or (not (tptp.aVector0 W0)) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0)))) (or (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))))) :rule resolution :premises (t105 t106))
% 0.49/0.66  (step t108 (cl (=> (forall ((W0 $$unsorted)) (or (not (tptp.aVector0 W0)) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0)))) (or (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))))) :rule contraction :premises (t107))
% 0.49/0.66  (step t109 (cl (not (forall ((W0 $$unsorted)) (or (not (tptp.aVector0 W0)) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 W0))))) (or (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) :rule implies :premises (t108))
% 0.49/0.66  (step t110 (cl (or (not (tptp.aVector0 (tptp.sziznziztdt0 tptp.xs))) (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) :rule resolution :premises (t109 t96))
% 0.49/0.66  (step t111 (cl (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) :rule resolution :premises (t100 t102 t110))
% 0.49/0.66  (step t112 (cl (not (= (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1))) (= W0 W1))) (or (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1))) (= W0 W1))) (or (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))))) (not (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1))) (= W0 W1))) (or (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))))) (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1))) (= W0 W1))) (or (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))))) :rule equiv_pos2)
% 0.49/0.66  (step t113 (cl (= (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1))) (= W0 W1))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1))) (= W0 W1))))) :rule refl)
% 0.49/0.66  (step t114 (cl (= (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) :rule refl)
% 0.49/0.66  (step t115 (cl (= (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))))) :rule refl)
% 0.49/0.66  (step t116 (cl (= (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) :rule all_simplify)
% 0.49/0.66  (step t117 (cl (= (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))))) :rule cong :premises (t116))
% 0.49/0.66  (step t118 (cl (= (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) :rule refl)
% 0.49/0.66  (step t119 (cl (= (or (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (or (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))))) :rule cong :premises (t114 t115 t117 t118))
% 0.49/0.66  (step t120 (cl (= (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1))) (= W0 W1))) (or (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1))) (= W0 W1))) (or (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))))) :rule cong :premises (t113 t119))
% 0.49/0.66  (step t121 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1))) (= W0 W1))) (or (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1))) (= W0 W1)))) :rule implies_neg1)
% 0.49/0.66  (anchor :step t122)
% 0.49/0.66  (assume t122.a0 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1))) (= W0 W1))))
% 0.49/0.66  (step t122.t1 (cl (or (not (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1))) (= W0 W1)))) (or (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))))) :rule forall_inst :args ((:= W0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))) (:= W1 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))))
% 0.49/0.66  (step t122.t2 (cl (not (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1))) (= W0 W1)))) (or (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) :rule or :premises (t122.t1))
% 0.49/0.66  (step t122.t3 (cl (or (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) :rule resolution :premises (t122.t2 t122.a0))
% 0.49/0.66  (step t122 (cl (not (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1))) (= W0 W1)))) (or (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) :rule subproof :discharge (t122.a0))
% 0.49/0.66  (step t123 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1))) (= W0 W1))) (or (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (or (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) :rule resolution :premises (t121 t122))
% 0.49/0.66  (step t124 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1))) (= W0 W1))) (or (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (not (or (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))))) :rule implies_neg2)
% 0.49/0.66  (step t125 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1))) (= W0 W1))) (or (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1))) (= W0 W1))) (or (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))))) :rule resolution :premises (t123 t124))
% 0.49/0.66  (step t126 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1))) (= W0 W1))) (or (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))))) :rule contraction :premises (t125))
% 0.49/0.66  (step t127 (cl (=> (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1))) (= W0 W1))) (or (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))))) :rule resolution :premises (t112 t120 t126))
% 0.49/0.66  (step t128 (cl (not (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1))) (= W0 W1)))) (or (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) :rule implies :premises (t127))
% 0.49/0.66  (step t129 (cl (not (= (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1)) (= W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1))) (= W0 W1))))) (not (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1)) (= W0 W1))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1))) (= W0 W1)))) :rule equiv_pos2)
% 0.49/0.66  (step t130 (cl (= (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1)) (= W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1))) (= W0 W1))))) :rule all_simplify)
% 0.49/0.66  (step t131 (cl (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1))) (= W0 W1)))) :rule resolution :premises (t129 t130 a4))
% 0.49/0.66  (step t132 (cl (or (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))) (not (tptp.aNaturalNumber0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs)))) (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) (= (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)) (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) :rule resolution :premises (t128 t131))
% 0.49/0.66  (step t133 (cl (not (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt)))))) :rule resolution :premises (t66 t82 t98 t111 t132))
% 0.49/0.66  (step t134 (cl (= (tptp.aDimensionOf0 tptp.xt) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xt))))) :rule and :premises (t85))
% 0.49/0.66  (step t135 (cl (= (tptp.aDimensionOf0 tptp.xs) (tptp.szszuzczcdt0 (tptp.aDimensionOf0 (tptp.sziznziztdt0 tptp.xs))))) :rule and :premises (t101))
% 0.49/0.66  (step t136 (cl (not (= (and (= (tptp.aDimensionOf0 tptp.xs) (tptp.aDimensionOf0 tptp.xt)) (not (= (tptp.aDimensionOf0 tptp.xt) tptp.sz00))) (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xt)))))) (not (and (= (tptp.aDimensionOf0 tptp.xs) (tptp.aDimensionOf0 tptp.xt)) (not (= (tptp.aDimensionOf0 tptp.xt) tptp.sz00)))) (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xt))))) :rule equiv_pos2)
% 0.49/0.66  (step t137 (cl (= (= (tptp.aDimensionOf0 tptp.xs) (tptp.aDimensionOf0 tptp.xt)) (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)))) :rule all_simplify)
% 0.49/0.66  (step t138 (cl (= (= (tptp.aDimensionOf0 tptp.xt) tptp.sz00) (= tptp.sz00 (tptp.aDimensionOf0 tptp.xt)))) :rule all_simplify)
% 0.49/0.66  (step t139 (cl (= (not (= (tptp.aDimensionOf0 tptp.xt) tptp.sz00)) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xt))))) :rule cong :premises (t138))
% 0.49/0.66  (step t140 (cl (= (and (= (tptp.aDimensionOf0 tptp.xs) (tptp.aDimensionOf0 tptp.xt)) (not (= (tptp.aDimensionOf0 tptp.xt) tptp.sz00))) (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xt)))))) :rule cong :premises (t137 t139))
% 0.49/0.66  (step t141 (cl (and (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs)) (not (= tptp.sz00 (tptp.aDimensionOf0 tptp.xt))))) :rule resolution :premises (t136 t140 a33))
% 0.49/0.66  (step t142 (cl (= (tptp.aDimensionOf0 tptp.xt) (tptp.aDimensionOf0 tptp.xs))) :rule and :premises (t141))
% 0.49/0.66  (step t143 (cl) :rule resolution :premises (t64 t133 t134 t135 t142))
% 0.49/0.66  
% 0.49/0.66  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.tBqEtTVptG/cvc5---1.0.5_22632.smt2
% 0.49/0.66  % cvc5---1.0.5 exiting
% 0.49/0.67  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------