%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP086^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 Jun 3 08:25:01 AM UTC 2026 % Result : Theorem 0.45s 1.00s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP086^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n013.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 04:13:45 EDT 2026 % 0.16/0.34 % CPUTime : % 0.37/0.60 %----Proving TH0 % 0.45/1.00 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.45/1.00 % SZS status Theorem % 0.45/1.00 % SZS output start Proof % 0.45/1.00 ( % 0.45/1.00 (declare-sort tptp.set_Secrecy_specID 0) % 0.45/1.00 (declare-sort tptp.secrecy_chanID 0) % 0.45/1.00 (declare-sort tptp.secrecy_specID 0) % 0.45/1.00 (declare-sort tptp.set_Secrecy_chanID 0) % 0.45/1.00 (declare-sort tptp.secrecy_Expression 0) % 0.45/1.00 (declare-sort tptp.nat 0) % 0.45/1.00 (declare-const tptp.loc (-> tptp.secrecy_specID tptp.set_Secrecy_chanID)) % 0.45/1.00 (declare-const tptp.ins (-> tptp.secrecy_specID tptp.set_Secrecy_chanID)) % 0.45/1.00 (declare-const tptp.exprChannel (-> tptp.secrecy_chanID tptp.secrecy_Expression Bool)) % 0.45/1.00 (declare-const tptp.member1967978193chanID (-> tptp.secrecy_chanID tptp.set_Secrecy_chanID Bool)) % 0.45/1.00 (declare-const tptp.bot_bot_o Bool) % 0.45/1.00 (declare-const tptp.bot_bo1785112429specID tptp.set_Secrecy_specID) % 0.45/1.00 (declare-const tptp.the_el827131246specID (-> tptp.set_Secrecy_specID tptp.secrecy_specID)) % 0.45/1.00 (declare-const tptp.insert1671894227specID (-> tptp.secrecy_specID tptp.set_Secrecy_specID tptp.set_Secrecy_specID)) % 0.45/1.00 (declare-const tptp.bot_bo443197316chanID tptp.set_Secrecy_chanID) % 0.45/1.00 (declare-const tptp.the_el2054381829chanID (-> tptp.set_Secrecy_chanID tptp.secrecy_chanID)) % 0.45/1.00 (declare-const tptp.insert751661162chanID (-> tptp.secrecy_chanID tptp.set_Secrecy_chanID tptp.set_Secrecy_chanID)) % 0.45/1.00 (declare-const tptp.member740727610specID (-> tptp.secrecy_specID tptp.set_Secrecy_specID Bool)) % 0.45/1.00 (declare-const tptp.out (-> tptp.secrecy_specID tptp.set_Secrecy_chanID)) % 0.45/1.00 (declare-const tptp.inf_in1474033538chanID (-> tptp.set_Secrecy_chanID tptp.set_Secrecy_chanID tptp.set_Secrecy_chanID)) % 0.45/1.00 (declare-const tptp.inf_in668465003specID (-> tptp.set_Secrecy_specID tptp.set_Secrecy_specID tptp.set_Secrecy_specID)) % 0.45/1.00 (declare-const tptp.uminus238526242specID (-> tptp.set_Secrecy_specID tptp.set_Secrecy_specID)) % 0.45/1.00 (declare-const tptp.correctCompositionIn (-> tptp.secrecy_specID Bool)) % 0.45/1.00 (declare-const tptp.uminus1044094777chanID (-> tptp.set_Secrecy_chanID tptp.set_Secrecy_chanID)) % 0.45/1.00 (declare-const tptp.correc990227761ionOut (-> tptp.secrecy_specID Bool)) % 0.45/1.00 (declare-const tptp.collec625564175chanID (-> (-> tptp.secrecy_chanID Bool) tptp.set_Secrecy_chanID)) % 0.45/1.00 (declare-const tptp.q tptp.secrecy_specID) % 0.45/1.00 (declare-const tptp.collec1545797240specID (-> (-> tptp.secrecy_specID Bool) tptp.set_Secrecy_specID)) % 0.45/1.00 (declare-const tptp.sup_su370684444chanID (-> tptp.set_Secrecy_chanID tptp.set_Secrecy_chanID tptp.set_Secrecy_chanID)) % 0.45/1.00 (declare-const tptp.p tptp.secrecy_specID) % 0.45/1.00 (declare-const tptp.ch tptp.secrecy_chanID) % 0.45/1.00 (declare-const tptp.pairwi1741995279chanID (-> (-> tptp.secrecy_chanID tptp.secrecy_chanID Bool) tptp.set_Secrecy_chanID Bool)) % 0.45/1.00 (declare-const tptp.m tptp.secrecy_Expression) % 0.45/1.00 (declare-const tptp.subcomponents (-> tptp.secrecy_specID tptp.set_Secrecy_specID)) % 0.45/1.00 (declare-const tptp.pq tptp.secrecy_specID) % 0.45/1.00 (declare-const tptp.correc965049635ionLoc (-> tptp.secrecy_specID Bool)) % 0.45/1.00 (declare-const tptp.pairwi514744696specID (-> (-> tptp.secrecy_specID tptp.secrecy_specID Bool) tptp.set_Secrecy_specID Bool)) % 0.45/1.00 (declare-const tptp.sup_su1712599557specID (-> tptp.set_Secrecy_specID tptp.set_Secrecy_specID tptp.set_Secrecy_specID)) % 0.45/1.00 (define tptp.locStream () (let ((_let_1 (@var "__flatten_var_0" tptp.set_Secrecy_chanID))) (let ((_let_2 (@var "X2" tptp.secrecy_specID))) (let ((_let_3 (@var "Z" tptp.set_Secrecy_chanID))) (let ((_let_4 (@var "Y" tptp.set_Secrecy_chanID))) (lambda (@list _let_2 _let_1) (_ (_ (lambda (@list _let_4 _let_3) (= _let_4 _let_3)) (_ tptp.loc _let_2)) _let_1))))))) % 0.45/1.00 (define tptp.inStream () (let ((_let_1 (@var "__flatten_var_0" tptp.set_Secrecy_chanID))) (let ((_let_2 (@var "X2" tptp.secrecy_specID))) (let ((_let_3 (@var "Z" tptp.set_Secrecy_chanID))) (let ((_let_4 (@var "Y" tptp.set_Secrecy_chanID))) (lambda (@list _let_2 _let_1) (_ (_ (lambda (@list _let_4 _let_3) (= _let_4 _let_3)) (_ tptp.ins _let_2)) _let_1))))))) % 0.45/1.00 (define tptp.ineM () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "Ch3" tptp.secrecy_chanID))) (let ((_let_3 (@var "M2" tptp.set_Secrecy_chanID))) (let ((_let_4 (_ tptp.member1967978193chanID _let_2))) (let ((_let_5 (@var "SP" tptp.secrecy_specID))) (lambda (@list _let_5 _let_3 _let_1) (exists (@list _let_2) (and (_ _let_4 (_ tptp.ins _let_5)) (_ _let_4 _let_3) (_ (_ tptp.exprChannel _let_2) _let_1)))))))))) % 0.45/1.00 (define tptp.bot_bo1012329985anID_o () (lambda (@list (@var "X2" tptp.secrecy_chanID)) tptp.bot_bot_o)) % 0.45/1.00 (define tptp.bot_bo1767780696ecID_o () (lambda (@list (@var "X2" tptp.secrecy_specID)) tptp.bot_bot_o)) % 0.45/1.00 (define tptp.ine_ex1303305700Single () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "X2" tptp.secrecy_chanID))) (let ((_let_3 (@var "Ch3" tptp.secrecy_chanID))) (let ((_let_4 (@var "SP" tptp.secrecy_specID))) (let ((_let_5 (_ tptp.ins _let_4))) (lambda (@list _let_4 _let_3 _let_1) (and (_ (_ tptp.member1967978193chanID _let_3) _let_5) (_ (_ tptp.exprChannel _let_3) _let_1) (forall (@list _let_2 (@var "T" tptp.nat)) (=> (and (_ (_ tptp.member1967978193chanID _let_2) _let_5) (not (= _let_2 _let_3))) (not (_ (_ tptp.exprChannel _let_2) _let_1)))))))))))) % 0.45/1.00 (define tptp.is_sin1501507247specID () (let ((_let_1 (@var "A3" tptp.set_Secrecy_specID))) (lambda (@list _let_1) (= _let_1 (_ (_ tptp.insert1671894227specID (_ tptp.the_el827131246specID _let_1)) tptp.bot_bo1785112429specID))))) % 0.45/1.00 (define tptp.is_sin581274182chanID () (let ((_let_1 (@var "A3" tptp.set_Secrecy_chanID))) (lambda (@list _let_1) (= _let_1 (_ (_ tptp.insert751661162chanID (_ tptp.the_el2054381829chanID _let_1)) tptp.bot_bo443197316chanID))))) % 0.45/1.00 (define tptp.ine () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "Ch3" tptp.secrecy_chanID))) (let ((_let_3 (@var "SP" tptp.secrecy_specID))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (and (_ (_ tptp.member1967978193chanID _let_2) (_ tptp.ins _let_3)) (_ (_ tptp.exprChannel _let_2) _let_1)))))))) % 0.45/1.00 (define tptp.ine_exprChannelSet () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "X2" tptp.secrecy_chanID))) (let ((_let_3 (_ (_ tptp.exprChannel _let_2) _let_1))) (let ((_let_4 (@var "SP" tptp.secrecy_specID))) (let ((_let_5 (_ tptp.member1967978193chanID _let_2))) (let ((_let_6 (_ _let_5 (_ tptp.ins _let_4)))) (let ((_let_7 (@var "ChSet2" tptp.set_Secrecy_chanID))) (let ((_let_8 (_ _let_5 _let_7))) (let ((_let_9 (@list _let_2))) (lambda (@list _let_4 _let_7 _let_1) (and (forall _let_9 (=> _let_8 (and _let_6 _let_3))) (forall _let_9 (=> (and (not _let_8) _let_6) (not _let_3))))))))))))))) % 0.45/1.00 (define tptp.is_emp1849217361specID () (let ((_let_1 (@var "A3" tptp.set_Secrecy_specID))) (lambda (@list _let_1) (= _let_1 tptp.bot_bo1785112429specID)))) % 0.45/1.00 (define tptp.is_emp928984296chanID () (let ((_let_1 (@var "A3" tptp.set_Secrecy_chanID))) (lambda (@list _let_1) (= _let_1 tptp.bot_bo443197316chanID)))) % 0.45/1.00 (define tptp.ord_le1802272080chanID () (let ((_let_1 (@var "B5" tptp.set_Secrecy_chanID))) (let ((_let_2 (@var "X2" tptp.secrecy_chanID))) (let ((_let_3 (_ tptp.member1967978193chanID _let_2))) (let ((_let_4 (@var "A3" tptp.set_Secrecy_chanID))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 0.45/1.00 (define tptp.ord_le996703545specID () (let ((_let_1 (@var "B5" tptp.set_Secrecy_specID))) (let ((_let_2 (@var "X2" tptp.secrecy_specID))) (let ((_let_3 (_ tptp.member740727610specID _let_2))) (let ((_let_4 (@var "A3" tptp.set_Secrecy_specID))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 0.45/1.00 (define tptp.eoutM () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "Ch3" tptp.secrecy_chanID))) (let ((_let_3 (@var "M2" tptp.set_Secrecy_chanID))) (let ((_let_4 (_ tptp.member1967978193chanID _let_2))) (let ((_let_5 (@var "SP" tptp.secrecy_specID))) (lambda (@list _let_5 _let_3 _let_1) (exists (@list _let_2) (and (_ _let_4 (_ tptp.out _let_5)) (_ _let_4 _let_3) (_ (_ tptp.exprChannel _let_2) _let_1)))))))))) % 0.45/1.00 (define tptp.out_exprChannelSet () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "X2" tptp.secrecy_chanID))) (let ((_let_3 (_ (_ tptp.exprChannel _let_2) _let_1))) (let ((_let_4 (@var "SP" tptp.secrecy_specID))) (let ((_let_5 (_ tptp.member1967978193chanID _let_2))) (let ((_let_6 (_ _let_5 (_ tptp.out _let_4)))) (let ((_let_7 (@var "ChSet2" tptp.set_Secrecy_chanID))) (let ((_let_8 (_ _let_5 _let_7))) (let ((_let_9 (@list _let_2))) (lambda (@list _let_4 _let_7 _let_1) (and (forall _let_9 (=> _let_8 (and _let_6 _let_3))) (forall _let_9 (=> (and (not _let_8) _let_6) (not _let_3))))))))))))))) % 0.45/1.00 (define tptp.out_ex985543062Single () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "X2" tptp.secrecy_chanID))) (let ((_let_3 (@var "Ch3" tptp.secrecy_chanID))) (let ((_let_4 (@var "SP" tptp.secrecy_specID))) (let ((_let_5 (_ tptp.out _let_4))) (lambda (@list _let_4 _let_3 _let_1) (and (_ (_ tptp.member1967978193chanID _let_3) _let_5) (_ (_ tptp.exprChannel _let_3) _let_1) (forall (@list _let_2 (@var "T" tptp.nat)) (=> (and (_ (_ tptp.member1967978193chanID _let_2) _let_5) (not (= _let_2 _let_3))) (not (_ (_ tptp.exprChannel _let_2) _let_1)))))))))))) % 0.45/1.00 (define tptp.eout () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "Ch3" tptp.secrecy_chanID))) (let ((_let_3 (@var "SP" tptp.secrecy_specID))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (and (_ (_ tptp.member1967978193chanID _let_2) (_ tptp.out _let_3)) (_ (_ tptp.exprChannel _let_2) _let_1)))))))) % 0.45/1.00 (define tptp.outStream () (let ((_let_1 (@var "__flatten_var_0" tptp.set_Secrecy_chanID))) (let ((_let_2 (@var "X2" tptp.secrecy_specID))) (let ((_let_3 (@var "Z" tptp.set_Secrecy_chanID))) (let ((_let_4 (@var "Y" tptp.set_Secrecy_chanID))) (lambda (@list _let_2 _let_1) (_ (_ (lambda (@list _let_4 _let_3) (= _let_4 _let_3)) (_ tptp.out _let_2)) _let_1))))))) % 0.45/1.00 (define tptp.correctInOutLoc () (let ((_let_1 (@var "X2" tptp.secrecy_specID))) (let ((_let_2 (_ tptp.out _let_1))) (let ((_let_3 (_ tptp.loc _let_1))) (let ((_let_4 (_ tptp.inf_in1474033538chanID (_ tptp.ins _let_1)))) (lambda (@list _let_1) (and (= (_ _let_4 _let_2) tptp.bot_bo443197316chanID) (= (_ _let_4 _let_3) tptp.bot_bo443197316chanID) (= (_ (_ tptp.inf_in1474033538chanID _let_3) _let_2) tptp.bot_bo443197316chanID)))))))) % 0.45/1.00 (define @t1 () (_ tptp.correctCompositionIn tptp.pq)) % 0.45/1.00 (define @t2 () (_ (_ tptp.exprChannel tptp.ch) tptp.m)) % 0.45/1.00 (define @t3 () (_ tptp.ins tptp.p)) % 0.45/1.00 (define @t4 () (_ tptp.member1967978193chanID tptp.ch)) % 0.45/1.00 (define @t5 () (_ @t4 @t3)) % 0.45/1.00 (define @t6 () (@var "X" tptp.secrecy_chanID)) % 0.45/1.00 (define @t7 () (_ (_ tptp.exprChannel @t6) tptp.m)) % 0.45/1.00 (define @t8 () (not @t7)) % 0.45/1.00 (define @t9 () (_ tptp.ins tptp.pq)) % 0.45/1.00 (define @t10 () (_ tptp.member1967978193chanID @t6)) % 0.45/1.00 (define @t11 () (_ @t10 @t9)) % 0.45/1.00 (define @t12 () (@list @t6)) % 0.45/1.00 (define @t13 () (forall @t12 (=> @t11 @t8))) % 0.45/1.00 (define @t14 () (_ tptp.insert1671894227specID tptp.q)) % 0.45/1.00 (define @t15 () (_ tptp.insert1671894227specID tptp.p)) % 0.45/1.00 (define @t16 () (_ tptp.subcomponents tptp.pq)) % 0.45/1.00 (define @t17 () (= @t16 (_ @t15 (_ @t14 tptp.bot_bo1785112429specID)))) % 0.45/1.00 (define @t18 () (@var "PQ" tptp.secrecy_specID)) % 0.45/1.00 (define @t19 () (_ tptp.ins @t18)) % 0.45/1.00 (define @t20 () (@var "Ch" tptp.secrecy_chanID)) % 0.45/1.00 (define @t21 () (_ tptp.member1967978193chanID @t20)) % 0.45/1.00 (define @t22 () (_ @t21 @t19)) % 0.45/1.00 (define @t23 () (@var "P" tptp.secrecy_specID)) % 0.45/1.00 (define @t24 () (_ tptp.ins @t23)) % 0.45/1.00 (define @t25 () (_ @t21 @t24)) % 0.45/1.00 (define @t26 () (=> @t25 @t22)) % 0.45/1.00 (define @t27 () (_ tptp.loc @t18)) % 0.45/1.00 (define @t28 () (_ @t21 @t27)) % 0.45/1.00 (define @t29 () (not @t28)) % 0.45/1.00 (define @t30 () (=> @t29 @t26)) % 0.45/1.00 (define @t31 () (_ tptp.correctCompositionIn @t18)) % 0.45/1.00 (define @t32 () (=> @t31 @t30)) % 0.45/1.00 (define @t33 () (@var "Q" tptp.secrecy_specID)) % 0.45/1.00 (define @t34 () (_ (_ tptp.insert1671894227specID @t33) tptp.bot_bo1785112429specID)) % 0.45/1.00 (define @t35 () (_ tptp.insert1671894227specID @t23)) % 0.45/1.00 (define @t36 () (_ @t35 @t34)) % 0.45/1.00 (define @t37 () (_ tptp.subcomponents @t18)) % 0.45/1.00 (define @t38 () (= @t37 @t36)) % 0.45/1.00 (define @t39 () (@list @t18 @t23 @t33 @t20)) % 0.45/1.00 (define @t40 () (forall @t39 (=> @t38 @t32))) % 0.45/1.00 (define @t41 () (_ tptp.ins @t33)) % 0.45/1.00 (define @t42 () (@var "X3" tptp.secrecy_chanID)) % 0.45/1.00 (define @t43 () (_ tptp.member1967978193chanID @t42)) % 0.45/1.00 (define @t44 () (_ @t43 @t24)) % 0.45/1.00 (define @t45 () (@list @t18 @t23 @t33 @t42)) % 0.45/1.00 (define @t46 () (@var "A" tptp.secrecy_specID)) % 0.45/1.00 (define @t47 () (_ tptp.insert1671894227specID @t46)) % 0.45/1.00 (define @t48 () (_ @t47 tptp.bot_bo1785112429specID)) % 0.45/1.00 (define @t49 () (_ tptp.member740727610specID @t46)) % 0.45/1.00 (define @t50 () (@list @t46)) % 0.45/1.00 (define @t51 () (@var "A" tptp.secrecy_chanID)) % 0.45/1.00 (define @t52 () (_ tptp.insert751661162chanID @t51)) % 0.45/1.00 (define @t53 () (_ @t52 tptp.bot_bo443197316chanID)) % 0.45/1.00 (define @t54 () (_ tptp.member1967978193chanID @t51)) % 0.45/1.00 (define @t55 () (@list @t51)) % 0.45/1.00 (define @t56 () (@var "E" tptp.secrecy_Expression)) % 0.45/1.00 (define @t57 () (@var "M" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t58 () (_ (_ (_ tptp.ineM @t18) @t57) @t56)) % 0.45/1.00 (define @t59 () (@var "Ch2" tptp.secrecy_chanID)) % 0.45/1.00 (define @t60 () (_ tptp.member1967978193chanID @t59)) % 0.45/1.00 (define @t61 () (_ @t60 @t57)) % 0.45/1.00 (define @t62 () (_ @t60 @t27)) % 0.45/1.00 (define @t63 () (not @t62)) % 0.45/1.00 (define @t64 () (_ (_ tptp.exprChannel @t59) @t56)) % 0.45/1.00 (define @t65 () (_ @t60 @t41)) % 0.45/1.00 (define @t66 () (@list @t59)) % 0.45/1.00 (define @t67 () (_ tptp.ineM @t23)) % 0.45/1.00 (define @t68 () (_ (_ @t67 @t57) @t56)) % 0.45/1.00 (define @t69 () (@list @t23 @t57 @t56 @t18 @t33)) % 0.45/1.00 (define @t70 () (_ @t60 @t24)) % 0.45/1.00 (define @t71 () (or @t70 @t65)) % 0.45/1.00 (define @t72 () (_ (_ (_ tptp.ineM @t33) @t57) @t56)) % 0.45/1.00 (define @t73 () (or @t68 @t72)) % 0.45/1.00 (define @t74 () (@list @t23 @t57 @t56 @t33 @t18)) % 0.45/1.00 (define @t75 () (_ (_ tptp.exprChannel @t20) @t56)) % 0.45/1.00 (define @t76 () (_ @t21 @t57)) % 0.45/1.00 (define @t77 () (not @t72)) % 0.45/1.00 (define @t78 () (not @t68)) % 0.45/1.00 (define @t79 () (@var "B" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t80 () (@var "B2" tptp.secrecy_chanID)) % 0.45/1.00 (define @t81 () (_ tptp.insert751661162chanID @t80)) % 0.45/1.00 (define @t82 () (_ @t81 @t79)) % 0.45/1.00 (define @t83 () (_ @t54 @t82)) % 0.45/1.00 (define @t84 () (= @t51 @t80)) % 0.45/1.00 (define @t85 () (_ @t54 @t79)) % 0.45/1.00 (define @t86 () (@list @t51 @t79 @t80)) % 0.45/1.00 (define @t87 () (@var "B" tptp.set_Secrecy_specID)) % 0.45/1.00 (define @t88 () (@var "B2" tptp.secrecy_specID)) % 0.45/1.00 (define @t89 () (_ tptp.insert1671894227specID @t88)) % 0.45/1.00 (define @t90 () (_ @t89 @t87)) % 0.45/1.00 (define @t91 () (_ @t49 @t90)) % 0.45/1.00 (define @t92 () (= @t46 @t88)) % 0.45/1.00 (define @t93 () (_ @t49 @t87)) % 0.45/1.00 (define @t94 () (@list @t46 @t87 @t88)) % 0.45/1.00 (define @t95 () (@var "A2" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t96 () (_ @t54 @t95)) % 0.45/1.00 (define @t97 () (_ @t54 (_ @t81 @t95))) % 0.45/1.00 (define @t98 () (@list @t51 @t80 @t95)) % 0.45/1.00 (define @t99 () (@var "A2" tptp.set_Secrecy_specID)) % 0.45/1.00 (define @t100 () (_ @t49 @t99)) % 0.45/1.00 (define @t101 () (_ @t49 (_ @t89 @t99))) % 0.45/1.00 (define @t102 () (@list @t46 @t88 @t99)) % 0.45/1.00 (define @t103 () (@var "X3" tptp.secrecy_specID)) % 0.45/1.00 (define @t104 () (_ tptp.insert1671894227specID @t103)) % 0.45/1.00 (define @t105 () (_ @t104 @t99)) % 0.45/1.00 (define @t106 () (@list @t103 @t99)) % 0.45/1.00 (define @t107 () (_ tptp.insert751661162chanID @t42)) % 0.45/1.00 (define @t108 () (_ @t107 @t95)) % 0.45/1.00 (define @t109 () (@list @t42 @t95)) % 0.45/1.00 (define @t110 () (@var "C" tptp.secrecy_specID)) % 0.45/1.00 (define @t111 () (_ tptp.member740727610specID @t110)) % 0.45/1.00 (define @t112 () (@var "C" tptp.secrecy_chanID)) % 0.45/1.00 (define @t113 () (_ tptp.member1967978193chanID @t112)) % 0.45/1.00 (define @t114 () (= @t99 tptp.bot_bo1785112429specID)) % 0.45/1.00 (define @t115 () (@var "X2" tptp.secrecy_specID)) % 0.45/1.00 (define @t116 () (_ tptp.member740727610specID @t115)) % 0.45/1.00 (define @t117 () (_ @t116 @t99)) % 0.45/1.00 (define @t118 () (@list @t115)) % 0.45/1.00 (define @t119 () (@list @t99)) % 0.45/1.00 (define @t120 () (= @t95 tptp.bot_bo443197316chanID)) % 0.45/1.00 (define @t121 () (@var "X2" tptp.secrecy_chanID)) % 0.45/1.00 (define @t122 () (_ tptp.member1967978193chanID @t121)) % 0.45/1.00 (define @t123 () (_ @t122 @t95)) % 0.45/1.00 (define @t124 () (@list @t121)) % 0.45/1.00 (define @t125 () (@list @t95)) % 0.45/1.00 (define @t126 () (@var "P" (-> tptp.secrecy_specID Bool))) % 0.45/1.00 (define @t127 () (forall @t118 (not (_ @t126 @t115)))) % 0.45/1.00 (define @t128 () (_ tptp.collec1545797240specID @t126)) % 0.45/1.00 (define @t129 () (= @t128 tptp.bot_bo1785112429specID)) % 0.45/1.00 (define @t130 () (@list @t126)) % 0.45/1.00 (define @t131 () (@var "P" (-> tptp.secrecy_chanID Bool))) % 0.45/1.00 (define @t132 () (_ @t131 @t121)) % 0.45/1.00 (define @t133 () (forall @t124 (not @t132))) % 0.45/1.00 (define @t134 () (_ tptp.collec625564175chanID @t131)) % 0.45/1.00 (define @t135 () (= @t134 tptp.bot_bo443197316chanID)) % 0.45/1.00 (define @t136 () (@list @t131)) % 0.45/1.00 (define @t137 () (not @t114)) % 0.45/1.00 (define @t138 () (not @t120)) % 0.45/1.00 (define @t139 () (@var "Y2" tptp.secrecy_specID)) % 0.45/1.00 (define @t140 () (_ tptp.member740727610specID @t139)) % 0.45/1.00 (define @t141 () (_ @t140 @t99)) % 0.45/1.00 (define @t142 () (@var "Y2" tptp.secrecy_chanID)) % 0.45/1.00 (define @t143 () (_ tptp.member1967978193chanID @t142)) % 0.45/1.00 (define @t144 () (_ @t143 @t95)) % 0.45/1.00 (define @t145 () (not @t100)) % 0.45/1.00 (define @t146 () (not @t96)) % 0.45/1.00 (define @t147 () (@var "B3" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t148 () (@list @t147)) % 0.45/1.00 (define @t149 () (@list @t51 @t95)) % 0.45/1.00 (define @t150 () (@var "B3" tptp.set_Secrecy_specID)) % 0.45/1.00 (define @t151 () (@list @t150)) % 0.45/1.00 (define @t152 () (@list @t46 @t99)) % 0.45/1.00 (define @t153 () (@var "Y3" tptp.secrecy_specID)) % 0.45/1.00 (define @t154 () (_ tptp.insert1671894227specID @t153)) % 0.45/1.00 (define @t155 () (@var "Y3" tptp.secrecy_chanID)) % 0.45/1.00 (define @t156 () (_ tptp.insert751661162chanID @t155)) % 0.45/1.00 (define @t157 () (@var "C2" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t158 () (_ tptp.member1967978193chanID @t80)) % 0.45/1.00 (define @t159 () (not @t84)) % 0.45/1.00 (define @t160 () (= @t95 @t79)) % 0.45/1.00 (define @t161 () (_ @t52 @t95)) % 0.45/1.00 (define @t162 () (@var "C2" tptp.set_Secrecy_specID)) % 0.45/1.00 (define @t163 () (_ tptp.member740727610specID @t88)) % 0.45/1.00 (define @t164 () (not @t92)) % 0.45/1.00 (define @t165 () (= @t99 @t87)) % 0.45/1.00 (define @t166 () (_ @t47 @t99)) % 0.45/1.00 (define @t167 () (_ @t107 @t79)) % 0.45/1.00 (define @t168 () (_ @t43 @t79)) % 0.45/1.00 (define @t169 () (_ @t43 @t95)) % 0.45/1.00 (define @t170 () (not @t169)) % 0.45/1.00 (define @t171 () (@list @t42 @t95 @t79)) % 0.45/1.00 (define @t172 () (_ @t104 @t87)) % 0.45/1.00 (define @t173 () (_ tptp.member740727610specID @t103)) % 0.45/1.00 (define @t174 () (_ @t173 @t87)) % 0.45/1.00 (define @t175 () (_ @t173 @t99)) % 0.45/1.00 (define @t176 () (not @t175)) % 0.45/1.00 (define @t177 () (@list @t103 @t99 @t87)) % 0.45/1.00 (define @t178 () (_ @t52 @t79)) % 0.45/1.00 (define @t179 () (_ @t47 @t87)) % 0.45/1.00 (define @t180 () (not @t58)) % 0.45/1.00 (define @t181 () (@list @t18 @t57 @t56 @t23 @t33)) % 0.45/1.00 (define @t182 () (_ @t89 tptp.bot_bo1785112429specID)) % 0.45/1.00 (define @t183 () (_ @t81 tptp.bot_bo443197316chanID)) % 0.45/1.00 (define @t184 () (@var "D" tptp.secrecy_specID)) % 0.45/1.00 (define @t185 () (@var "D" tptp.secrecy_chanID)) % 0.45/1.00 (define @t186 () (= @t88 @t46)) % 0.45/1.00 (define @t187 () (_ @t163 @t48)) % 0.45/1.00 (define @t188 () (@list @t88 @t46)) % 0.45/1.00 (define @t189 () (= @t80 @t51)) % 0.45/1.00 (define @t190 () (_ @t158 @t53)) % 0.45/1.00 (define @t191 () (@list @t80 @t51)) % 0.45/1.00 (define @t192 () (_ tptp.ine_ex1303305700Single @t23)) % 0.45/1.00 (define @t193 () (_ (_ @t192 @t59) @t56)) % 0.45/1.00 (define @t194 () (@var "X4" tptp.secrecy_chanID)) % 0.45/1.00 (define @t195 () (_ tptp.member1967978193chanID @t194)) % 0.45/1.00 (define @t196 () (_ @t195 @t27)) % 0.45/1.00 (define @t197 () (@var "ChSetQ" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t198 () (@list @t194)) % 0.45/1.00 (define @t199 () (forall @t198 (=> (_ @t195 @t197) @t196))) % 0.45/1.00 (define @t200 () (@var "ChSetP" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t201 () (forall @t198 (=> (_ @t195 @t200) @t196))) % 0.45/1.00 (define @t202 () (_ (_ (_ tptp.ine_exprChannelSet @t33) @t197) @t56)) % 0.45/1.00 (define @t203 () (_ tptp.ine_exprChannelSet @t23)) % 0.45/1.00 (define @t204 () (_ (_ @t203 @t200) @t56)) % 0.45/1.00 (define @t205 () (@list @t18 @t23 @t33 @t200 @t56 @t197 @t57)) % 0.45/1.00 (define @t206 () (@var "Q" (-> tptp.secrecy_chanID Bool))) % 0.45/1.00 (define @t207 () (@var "Q" (-> tptp.secrecy_specID Bool))) % 0.45/1.00 (define @t208 () (@var "X4" tptp.secrecy_specID)) % 0.45/1.00 (define @t209 () (@list @t208)) % 0.45/1.00 (define @t210 () (@var "ChSet" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t211 () (forall @t198 (=> (_ @t195 @t210) @t196))) % 0.45/1.00 (define @t212 () (_ (_ @t203 @t210) @t56)) % 0.45/1.00 (define @t213 () (@list @t33 @t57 @t56 @t18 @t23 @t210)) % 0.45/1.00 (define @t214 () (_ @t104 tptp.bot_bo1785112429specID)) % 0.45/1.00 (define @t215 () (@list @t103)) % 0.45/1.00 (define @t216 () (_ @t107 tptp.bot_bo443197316chanID)) % 0.45/1.00 (define @t217 () (@list @t42)) % 0.45/1.00 (define @t218 () (_ (_ tptp.ine @t18) @t56)) % 0.45/1.00 (define @t219 () (_ (_ tptp.ine @t33) @t56)) % 0.45/1.00 (define @t220 () (_ tptp.ine @t23)) % 0.45/1.00 (define @t221 () (_ @t220 @t56)) % 0.45/1.00 (define @t222 () (or @t221 @t219)) % 0.45/1.00 (define @t223 () (@list @t23 @t56 @t33 @t18)) % 0.45/1.00 (define @t224 () (@list @t23 @t56 @t18 @t33)) % 0.45/1.00 (define @t225 () (= @t27 tptp.bot_bo443197316chanID)) % 0.45/1.00 (define @t226 () (not @t221)) % 0.45/1.00 (define @t227 () (= @t210 tptp.bot_bo443197316chanID)) % 0.45/1.00 (define @t228 () (@list @t23 @t210 @t56)) % 0.45/1.00 (define @t229 () (_ (_ @t192 @t20) @t56)) % 0.45/1.00 (define @t230 () (_ (_ tptp.insert751661162chanID @t20) tptp.bot_bo443197316chanID)) % 0.45/1.00 (define @t231 () (_ (_ @t203 @t230) @t56)) % 0.45/1.00 (define @t232 () (@list @t23 @t20 @t56)) % 0.45/1.00 (define @t233 () (= tptp.bot_bo1785112429specID (_ tptp.collec1545797240specID tptp.bot_bo1767780696ecID_o))) % 0.45/1.00 (define @t234 () (@list @t23 @t56 @t57)) % 0.45/1.00 (define @t235 () (@list @t23 @t57 @t56)) % 0.45/1.00 (define @t236 () (@var "M3" tptp.secrecy_Expression)) % 0.45/1.00 (define @t237 () (_ tptp.is_sin1501507247specID @t99)) % 0.45/1.00 (define @t238 () (= @t208 @t139)) % 0.45/1.00 (define @t239 () (_ tptp.member740727610specID @t208)) % 0.45/1.00 (define @t240 () (_ @t239 @t99)) % 0.45/1.00 (define @t241 () (@list @t208 @t139)) % 0.45/1.00 (define @t242 () (_ tptp.is_sin581274182chanID @t95)) % 0.45/1.00 (define @t243 () (= @t194 @t142)) % 0.45/1.00 (define @t244 () (_ @t195 @t95)) % 0.45/1.00 (define @t245 () (@list @t194 @t142)) % 0.45/1.00 (define @t246 () (not @t218)) % 0.45/1.00 (define @t247 () (not @t219)) % 0.45/1.00 (define @t248 () (@list @t33 @t56 @t18 @t23 @t210)) % 0.45/1.00 (define @t249 () (@list @t18 @t23 @t33 @t200 @t56 @t197)) % 0.45/1.00 (define @t250 () (@var "A3" tptp.set_Secrecy_specID)) % 0.45/1.00 (define @t251 () (@list @t250)) % 0.45/1.00 (define @t252 () (@var "A3" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t253 () (@list @t252)) % 0.45/1.00 (define @t254 () (@list @t18 @t56 @t23 @t33)) % 0.45/1.00 (define @t255 () (_ (_ tptp.eout @t18) @t56)) % 0.45/1.00 (define @t256 () (_ tptp.correc990227761ionOut @t18)) % 0.45/1.00 (define @t257 () (_ (_ tptp.eout @t33) @t56)) % 0.45/1.00 (define @t258 () (_ (_ tptp.eout @t23) @t56)) % 0.45/1.00 (define @t259 () (or @t258 @t257)) % 0.45/1.00 (define @t260 () (@var "A2" tptp.secrecy_specID)) % 0.45/1.00 (define @t261 () (@var "P" (-> tptp.secrecy_specID tptp.secrecy_specID Bool))) % 0.45/1.00 (define @t262 () (_ tptp.pairwi514744696specID @t261)) % 0.45/1.00 (define @t263 () (@var "A2" tptp.secrecy_chanID)) % 0.45/1.00 (define @t264 () (@var "P" (-> tptp.secrecy_chanID tptp.secrecy_chanID Bool))) % 0.45/1.00 (define @t265 () (_ tptp.pairwi1741995279chanID @t264)) % 0.45/1.00 (define @t266 () (_ tptp.ord_le996703545specID @t99)) % 0.45/1.00 (define @t267 () (and @t92 (_ @t266 @t182))) % 0.45/1.00 (define @t268 () (_ tptp.ord_le1802272080chanID @t95)) % 0.45/1.00 (define @t269 () (and @t84 (_ @t268 @t183))) % 0.45/1.00 (define @t270 () (@var "X3" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t271 () (_ tptp.ord_le1802272080chanID @t270)) % 0.45/1.00 (define @t272 () (@list @t270)) % 0.45/1.00 (define @t273 () (@var "X3" tptp.set_Secrecy_specID)) % 0.45/1.00 (define @t274 () (_ tptp.ord_le996703545specID @t273)) % 0.45/1.00 (define @t275 () (@list @t273)) % 0.45/1.00 (define @t276 () (_ @t268 @t79)) % 0.45/1.00 (define @t277 () (@list @t95 @t79)) % 0.45/1.00 (define @t278 () (_ @t266 @t87)) % 0.45/1.00 (define @t279 () (@list @t99 @t87)) % 0.45/1.00 (define @t280 () (_ tptp.ord_le1802272080chanID @t79)) % 0.45/1.00 (define @t281 () (_ @t280 @t95)) % 0.45/1.00 (define @t282 () (_ tptp.ord_le996703545specID @t87)) % 0.45/1.00 (define @t283 () (_ tptp.ord_le996703545specID tptp.bot_bo1785112429specID)) % 0.45/1.00 (define @t284 () (_ tptp.ord_le1802272080chanID tptp.bot_bo443197316chanID)) % 0.45/1.00 (define @t285 () (_ @t266 tptp.bot_bo1785112429specID)) % 0.45/1.00 (define @t286 () (_ @t268 tptp.bot_bo443197316chanID)) % 0.45/1.00 (define @t287 () (@var "C" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t288 () (@var "F" (-> tptp.set_Secrecy_chanID tptp.set_Secrecy_chanID))) % 0.45/1.00 (define @t289 () (@var "A" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t290 () (_ tptp.ord_le1802272080chanID @t289)) % 0.45/1.00 (define @t291 () (@var "Y2" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t292 () (@var "X4" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t293 () (_ tptp.ord_le1802272080chanID @t292)) % 0.45/1.00 (define @t294 () (_ @t293 @t291)) % 0.45/1.00 (define @t295 () (@list @t292 @t291)) % 0.45/1.00 (define @t296 () (forall @t295 (=> @t294 (_ (_ tptp.ord_le1802272080chanID (_ @t288 @t292)) (_ @t288 @t291))))) % 0.45/1.00 (define @t297 () (@var "B2" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t298 () (_ tptp.ord_le1802272080chanID @t297)) % 0.45/1.00 (define @t299 () (_ @t298 @t287)) % 0.45/1.00 (define @t300 () (=> @t299 (=> @t296 (_ @t290 (_ @t288 @t287))))) % 0.45/1.00 (define @t301 () (_ @t288 @t297)) % 0.45/1.00 (define @t302 () (@list @t289 @t288 @t297 @t287)) % 0.45/1.00 (define @t303 () (@var "C" tptp.set_Secrecy_specID)) % 0.45/1.00 (define @t304 () (@var "F" (-> tptp.set_Secrecy_specID tptp.set_Secrecy_chanID))) % 0.45/1.00 (define @t305 () (@var "Y2" tptp.set_Secrecy_specID)) % 0.45/1.00 (define @t306 () (@var "X4" tptp.set_Secrecy_specID)) % 0.45/1.00 (define @t307 () (_ (_ tptp.ord_le996703545specID @t306) @t305)) % 0.45/1.00 (define @t308 () (@list @t306 @t305)) % 0.45/1.00 (define @t309 () (forall @t308 (=> @t307 (_ (_ tptp.ord_le1802272080chanID (_ @t304 @t306)) (_ @t304 @t305))))) % 0.45/1.00 (define @t310 () (@var "B2" tptp.set_Secrecy_specID)) % 0.45/1.00 (define @t311 () (_ tptp.ord_le996703545specID @t310)) % 0.45/1.00 (define @t312 () (_ @t311 @t303)) % 0.45/1.00 (define @t313 () (=> @t312 (=> @t309 (_ @t290 (_ @t304 @t303))))) % 0.45/1.00 (define @t314 () (_ @t304 @t310)) % 0.45/1.00 (define @t315 () (@list @t289 @t304 @t310 @t303)) % 0.45/1.00 (define @t316 () (@var "F" (-> tptp.set_Secrecy_chanID tptp.set_Secrecy_specID))) % 0.45/1.00 (define @t317 () (@var "A" tptp.set_Secrecy_specID)) % 0.45/1.00 (define @t318 () (_ tptp.ord_le996703545specID @t317)) % 0.45/1.00 (define @t319 () (forall @t295 (=> @t294 (_ (_ tptp.ord_le996703545specID (_ @t316 @t292)) (_ @t316 @t291))))) % 0.45/1.00 (define @t320 () (=> @t299 (=> @t319 (_ @t318 (_ @t316 @t287))))) % 0.45/1.00 (define @t321 () (_ @t316 @t297)) % 0.45/1.00 (define @t322 () (@list @t317 @t316 @t297 @t287)) % 0.45/1.00 (define @t323 () (@var "F" (-> tptp.set_Secrecy_specID tptp.set_Secrecy_specID))) % 0.45/1.00 (define @t324 () (forall @t308 (=> @t307 (_ (_ tptp.ord_le996703545specID (_ @t323 @t306)) (_ @t323 @t305))))) % 0.45/1.00 (define @t325 () (=> @t312 (=> @t324 (_ @t318 (_ @t323 @t303))))) % 0.45/1.00 (define @t326 () (_ @t323 @t310)) % 0.45/1.00 (define @t327 () (@list @t317 @t323 @t310 @t303)) % 0.45/1.00 (define @t328 () (=> @t296 (_ (_ tptp.ord_le1802272080chanID (_ @t288 @t289)) @t287))) % 0.45/1.00 (define @t329 () (_ @t290 @t297)) % 0.45/1.00 (define @t330 () (@list @t289 @t297 @t288 @t287)) % 0.45/1.00 (define @t331 () (=> @t319 (_ (_ tptp.ord_le996703545specID (_ @t316 @t289)) @t303))) % 0.45/1.00 (define @t332 () (@list @t289 @t297 @t316 @t303)) % 0.45/1.00 (define @t333 () (=> @t309 (_ (_ tptp.ord_le1802272080chanID (_ @t304 @t317)) @t287))) % 0.45/1.00 (define @t334 () (_ @t318 @t310)) % 0.45/1.00 (define @t335 () (@list @t317 @t310 @t304 @t287)) % 0.45/1.00 (define @t336 () (=> @t324 (_ (_ tptp.ord_le996703545specID (_ @t323 @t317)) @t303))) % 0.45/1.00 (define @t337 () (@list @t317 @t310 @t323 @t303)) % 0.45/1.00 (define @t338 () (@var "X2" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t339 () (@var "Y4" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t340 () (@list @t338 @t339)) % 0.45/1.00 (define @t341 () (@var "Z" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t342 () (@var "Y" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t343 () (lambda (@list @t342 @t341) (= @t342 @t341))) % 0.45/1.00 (define @t344 () (@var "X2" tptp.set_Secrecy_specID)) % 0.45/1.00 (define @t345 () (@var "Y4" tptp.set_Secrecy_specID)) % 0.45/1.00 (define @t346 () (@var "Z" tptp.set_Secrecy_specID)) % 0.45/1.00 (define @t347 () (@var "Y" tptp.set_Secrecy_specID)) % 0.45/1.00 (define @t348 () (lambda (@list @t347 @t346) (= @t347 @t346))) % 0.45/1.00 (define @t349 () (@var "Y3" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t350 () (= @t270 @t349)) % 0.45/1.00 (define @t351 () (_ tptp.ord_le1802272080chanID @t349)) % 0.45/1.00 (define @t352 () (_ @t351 @t270)) % 0.45/1.00 (define @t353 () (_ @t271 @t349)) % 0.45/1.00 (define @t354 () (@list @t270 @t349)) % 0.45/1.00 (define @t355 () (@var "Y3" tptp.set_Secrecy_specID)) % 0.45/1.00 (define @t356 () (= @t273 @t355)) % 0.45/1.00 (define @t357 () (_ tptp.ord_le996703545specID @t355)) % 0.45/1.00 (define @t358 () (_ @t357 @t273)) % 0.45/1.00 (define @t359 () (_ @t274 @t355)) % 0.45/1.00 (define @t360 () (@list @t273 @t355)) % 0.45/1.00 (define @t361 () (_ @t290 @t287)) % 0.45/1.00 (define @t362 () (=> @t299 @t361)) % 0.45/1.00 (define @t363 () (@list @t289 @t297 @t287)) % 0.45/1.00 (define @t364 () (_ @t318 @t303)) % 0.45/1.00 (define @t365 () (=> @t312 @t364)) % 0.45/1.00 (define @t366 () (@list @t317 @t310 @t303)) % 0.45/1.00 (define @t367 () (@list @t349 @t270)) % 0.45/1.00 (define @t368 () (@var "A4" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t369 () (@var "B4" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t370 () (@list @t368 @t369)) % 0.45/1.00 (define @t371 () (@var "A4" tptp.set_Secrecy_specID)) % 0.45/1.00 (define @t372 () (@var "B4" tptp.set_Secrecy_specID)) % 0.45/1.00 (define @t373 () (= @t289 @t297)) % 0.45/1.00 (define @t374 () (= @t317 @t310)) % 0.45/1.00 (define @t375 () (_ @t298 @t289)) % 0.45/1.00 (define @t376 () (@list @t289 @t297)) % 0.45/1.00 (define @t377 () (@list @t317 @t310)) % 0.45/1.00 (define @t378 () (@var "Z2" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t379 () (_ @t271 @t378)) % 0.45/1.00 (define @t380 () (_ @t351 @t378)) % 0.45/1.00 (define @t381 () (@list @t270 @t349 @t378)) % 0.45/1.00 (define @t382 () (@var "Z2" tptp.set_Secrecy_specID)) % 0.45/1.00 (define @t383 () (@list @t317)) % 0.45/1.00 (define @t384 () (@list @t95 @t79 @t42)) % 0.45/1.00 (define @t385 () (@list @t99 @t87 @t103)) % 0.45/1.00 (define @t386 () (_ @t113 @t79)) % 0.45/1.00 (define @t387 () (_ @t113 @t95)) % 0.45/1.00 (define @t388 () (_ @t111 @t87)) % 0.45/1.00 (define @t389 () (_ @t111 @t99)) % 0.45/1.00 (define @t390 () (@var "R" (-> tptp.secrecy_chanID tptp.secrecy_chanID Bool))) % 0.45/1.00 (define @t391 () (@var "S" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t392 () (_ (_ tptp.pairwi1741995279chanID @t390) @t391)) % 0.45/1.00 (define @t393 () (@var "R" (-> tptp.secrecy_specID tptp.secrecy_specID Bool))) % 0.45/1.00 (define @t394 () (@var "S" tptp.set_Secrecy_specID)) % 0.45/1.00 (define @t395 () (_ (_ tptp.pairwi514744696specID @t393) @t394)) % 0.45/1.00 (define @t396 () (@var "B5" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t397 () (@var "T" tptp.secrecy_chanID)) % 0.45/1.00 (define @t398 () (_ tptp.member1967978193chanID @t397)) % 0.45/1.00 (define @t399 () (@list @t252 @t396)) % 0.45/1.00 (define @t400 () (@var "B5" tptp.set_Secrecy_specID)) % 0.45/1.00 (define @t401 () (@var "T" tptp.secrecy_specID)) % 0.45/1.00 (define @t402 () (_ tptp.member740727610specID @t401)) % 0.45/1.00 (define @t403 () (@list @t250 @t400)) % 0.45/1.00 (define @t404 () (= @t317 tptp.bot_bo1785112429specID)) % 0.45/1.00 (define @t405 () (_ @t318 tptp.bot_bo1785112429specID)) % 0.45/1.00 (define @t406 () (= @t289 tptp.bot_bo443197316chanID)) % 0.45/1.00 (define @t407 () (_ @t290 tptp.bot_bo443197316chanID)) % 0.45/1.00 (define @t408 () (@list @t289)) % 0.45/1.00 (define @t409 () (@var "D2" tptp.set_Secrecy_specID)) % 0.45/1.00 (define @t410 () (@var "C3" tptp.set_Secrecy_specID)) % 0.45/1.00 (define @t411 () (@var "D2" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t412 () (@var "C3" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t413 () (_ tptp.ord_le1802272080chanID @t412)) % 0.45/1.00 (define @t414 () (@var "S2" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t415 () (@var "R2" (-> tptp.secrecy_chanID tptp.secrecy_chanID Bool))) % 0.45/1.00 (define @t416 () (_ tptp.pairwi1741995279chanID @t415)) % 0.45/1.00 (define @t417 () (@var "Y4" tptp.secrecy_chanID)) % 0.45/1.00 (define @t418 () (@var "S2" tptp.set_Secrecy_specID)) % 0.45/1.00 (define @t419 () (@var "R2" (-> tptp.secrecy_specID tptp.secrecy_specID Bool))) % 0.45/1.00 (define @t420 () (_ tptp.pairwi514744696specID @t419)) % 0.45/1.00 (define @t421 () (@var "Y4" tptp.secrecy_specID)) % 0.45/1.00 (define @t422 () (@var "X5" tptp.set_Secrecy_specID)) % 0.45/1.00 (define @t423 () (_ tptp.ord_le996703545specID @t422)) % 0.45/1.00 (define @t424 () (@var "X5" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t425 () (_ tptp.ord_le1802272080chanID @t424)) % 0.45/1.00 (define @t426 () (= @t99 @t214)) % 0.45/1.00 (define @t427 () (= @t95 @t216)) % 0.45/1.00 (define @t428 () (not @t255)) % 0.45/1.00 (define @t429 () (_ tptp.out_ex985543062Single @t23)) % 0.45/1.00 (define @t430 () (_ (_ @t429 @t59) @t56)) % 0.45/1.00 (define @t431 () (not @t257)) % 0.45/1.00 (define @t432 () (_ (_ (_ tptp.out_exprChannelSet @t33) @t197) @t56)) % 0.45/1.00 (define @t433 () (_ tptp.out_exprChannelSet @t23)) % 0.45/1.00 (define @t434 () (_ (_ @t433 @t200) @t56)) % 0.45/1.00 (define @t435 () (_ (_ @t433 @t210) @t56)) % 0.45/1.00 (define @t436 () (_ tptp.out @t33)) % 0.45/1.00 (define @t437 () (_ @t60 @t436)) % 0.45/1.00 (define @t438 () (_ tptp.out @t23)) % 0.45/1.00 (define @t439 () (_ @t60 @t438)) % 0.45/1.00 (define @t440 () (or @t439 @t437)) % 0.45/1.00 (define @t441 () (_ (_ (_ tptp.eoutM @t33) @t57) @t56)) % 0.45/1.00 (define @t442 () (_ (_ (_ tptp.eoutM @t23) @t57) @t56)) % 0.45/1.00 (define @t443 () (or @t442 @t441)) % 0.45/1.00 (define @t444 () (_ (_ (_ tptp.eoutM @t18) @t57) @t56)) % 0.45/1.00 (define @t445 () (_ (_ @t429 @t20) @t56)) % 0.45/1.00 (define @t446 () (_ (_ @t433 @t230) @t56)) % 0.45/1.00 (define @t447 () (not @t444)) % 0.45/1.00 (define @t448 () (not @t441)) % 0.45/1.00 (define @t449 () (_ tptp.sup_su1712599557specID @t99)) % 0.45/1.00 (define @t450 () (_ @t449 @t87)) % 0.45/1.00 (define @t451 () (_ @t111 @t450)) % 0.45/1.00 (define @t452 () (@list @t110 @t87 @t99)) % 0.45/1.00 (define @t453 () (_ tptp.sup_su370684444chanID @t95)) % 0.45/1.00 (define @t454 () (_ @t453 @t79)) % 0.45/1.00 (define @t455 () (_ @t113 @t454)) % 0.45/1.00 (define @t456 () (@list @t112 @t79 @t95)) % 0.45/1.00 (define @t457 () (@list @t110 @t99 @t87)) % 0.45/1.00 (define @t458 () (@list @t112 @t95 @t79)) % 0.45/1.00 (define @t459 () (= @t87 tptp.bot_bo1785112429specID)) % 0.45/1.00 (define @t460 () (= @t79 tptp.bot_bo443197316chanID)) % 0.45/1.00 (define @t461 () (_ tptp.sup_su370684444chanID @t79)) % 0.45/1.00 (define @t462 () (_ @t461 @t412)) % 0.45/1.00 (define @t463 () (_ @t280 @t412)) % 0.45/1.00 (define @t464 () (_ @t268 @t412)) % 0.45/1.00 (define @t465 () (_ tptp.ord_le1802272080chanID @t454)) % 0.45/1.00 (define @t466 () (_ @t465 @t412)) % 0.45/1.00 (define @t467 () (@list @t95 @t79 @t412)) % 0.45/1.00 (define @t468 () (_ tptp.sup_su1712599557specID tptp.bot_bo1785112429specID)) % 0.45/1.00 (define @t469 () (_ tptp.sup_su370684444chanID tptp.bot_bo443197316chanID)) % 0.45/1.00 (define @t470 () (@var "B6" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t471 () (@var "A5" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t472 () (@list @t412 @t95 @t79)) % 0.45/1.00 (define @t473 () (@list @t79 @t95)) % 0.45/1.00 (define @t474 () (not @t389)) % 0.45/1.00 (define @t475 () (not @t387)) % 0.45/1.00 (define @t476 () (_ @t122 @t79)) % 0.45/1.00 (define @t477 () (_ @t122 @t454)) % 0.45/1.00 (define @t478 () (@list @t95 @t79 @t131)) % 0.45/1.00 (define @t479 () (_ @t453 @t462)) % 0.45/1.00 (define @t480 () (= @t87 @t214)) % 0.45/1.00 (define @t481 () (or (and @t114 @t480) (and @t426 @t459) (and @t426 @t480))) % 0.45/1.00 (define @t482 () (= @t79 @t216)) % 0.45/1.00 (define @t483 () (or (and @t120 @t482) (and @t427 @t460) (and @t427 @t482))) % 0.45/1.00 (define @t484 () (@var "__flatten_var_0" tptp.set_Secrecy_specID)) % 0.45/1.00 (define @t485 () (@var "A4" tptp.secrecy_specID)) % 0.45/1.00 (define @t486 () (@var "__flatten_var_0" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t487 () (@var "A4" tptp.secrecy_chanID)) % 0.45/1.00 (define @t488 () (_ tptp.sup_su1712599557specID @t317)) % 0.45/1.00 (define @t489 () (_ tptp.sup_su370684444chanID @t289)) % 0.45/1.00 (define @t490 () (and @t404 (= @t310 tptp.bot_bo1785112429specID))) % 0.45/1.00 (define @t491 () (_ @t488 @t310)) % 0.45/1.00 (define @t492 () (and @t406 (= @t297 tptp.bot_bo443197316chanID))) % 0.45/1.00 (define @t493 () (_ @t489 @t297)) % 0.45/1.00 (define @t494 () (_ tptp.sup_su370684444chanID @t270)) % 0.45/1.00 (define @t495 () (_ @t494 @t349)) % 0.45/1.00 (define @t496 () (_ tptp.ord_le1802272080chanID @t287)) % 0.45/1.00 (define @t497 () (_ @t496 @t289)) % 0.45/1.00 (define @t498 () (_ (_ tptp.ord_le1802272080chanID (_ (_ tptp.sup_su370684444chanID @t297) @t287)) @t289)) % 0.45/1.00 (define @t499 () (@list @t297 @t287 @t289)) % 0.45/1.00 (define @t500 () (_ tptp.sup_su1712599557specID @t273)) % 0.45/1.00 (define @t501 () (and (= @t273 tptp.bot_bo1785112429specID) (= @t355 tptp.bot_bo1785112429specID))) % 0.45/1.00 (define @t502 () (_ @t500 @t355)) % 0.45/1.00 (define @t503 () (and (= @t270 tptp.bot_bo443197316chanID) (= @t349 tptp.bot_bo443197316chanID))) % 0.45/1.00 (define @t504 () (_ @t298 @t270)) % 0.45/1.00 (define @t505 () (_ @t290 @t270)) % 0.45/1.00 (define @t506 () (_ tptp.ord_le1802272080chanID @t493)) % 0.45/1.00 (define @t507 () (_ @t506 @t270)) % 0.45/1.00 (define @t508 () (_ @t271 @t493)) % 0.45/1.00 (define @t509 () (@var "D" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t510 () (_ (_ tptp.sup_su370684444chanID @t287) @t509)) % 0.45/1.00 (define @t511 () (= @t289 @t493)) % 0.45/1.00 (define @t512 () (@list @t297 @t289)) % 0.45/1.00 (define @t513 () (@var "F" (-> tptp.set_Secrecy_chanID tptp.set_Secrecy_chanID tptp.set_Secrecy_chanID))) % 0.45/1.00 (define @t514 () (@var "Z3" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t515 () (_ tptp.ord_le1802272080chanID @t291)) % 0.45/1.00 (define @t516 () (_ (_ @t513 @t292) @t291)) % 0.45/1.00 (define @t517 () (_ (_ tptp.sup_su370684444chanID @t368) @t369)) % 0.45/1.00 (define @t518 () (@list @t369 @t368)) % 0.45/1.00 (define @t519 () (_ @t496 @t493)) % 0.45/1.00 (define @t520 () (_ tptp.inf_in668465003specID @t99)) % 0.45/1.00 (define @t521 () (_ @t520 @t87)) % 0.45/1.00 (define @t522 () (_ @t111 @t521)) % 0.45/1.00 (define @t523 () (_ tptp.inf_in1474033538chanID @t95)) % 0.45/1.00 (define @t524 () (_ @t523 @t79)) % 0.45/1.00 (define @t525 () (_ @t113 @t524)) % 0.45/1.00 (define @t526 () (_ @t113 (_ tptp.uminus1044094777chanID @t95))) % 0.45/1.00 (define @t527 () (@list @t112 @t95)) % 0.45/1.00 (define @t528 () (_ @t111 (_ tptp.uminus238526242specID @t99))) % 0.45/1.00 (define @t529 () (@list @t110 @t99)) % 0.45/1.00 (define @t530 () (_ (_ tptp.inf_in668465003specID @t87) @t410)) % 0.45/1.00 (define @t531 () (_ (_ tptp.inf_in668465003specID @t179) @t410)) % 0.45/1.00 (define @t532 () (_ @t49 @t410)) % 0.45/1.00 (define @t533 () (@list @t46 @t410 @t87)) % 0.45/1.00 (define @t534 () (_ (_ tptp.inf_in1474033538chanID @t79) @t412)) % 0.45/1.00 (define @t535 () (_ (_ tptp.inf_in1474033538chanID @t178) @t412)) % 0.45/1.00 (define @t536 () (_ @t54 @t412)) % 0.45/1.00 (define @t537 () (@list @t51 @t412 @t79)) % 0.45/1.00 (define @t538 () (_ @t47 @t521)) % 0.45/1.00 (define @t539 () (@list @t46 @t99 @t87)) % 0.45/1.00 (define @t540 () (_ @t52 @t524)) % 0.45/1.00 (define @t541 () (@list @t51 @t95 @t79)) % 0.45/1.00 (define @t542 () (_ @t520 @t179)) % 0.45/1.00 (define @t543 () (_ @t523 @t178)) % 0.45/1.00 (define @t544 () (@var "T2" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t545 () (_ tptp.loc tptp.pq)) % 0.45/1.00 (define @t546 () (_ @t4 @t545)) % 0.45/1.00 (define @t547 () (not @t546)) % 0.45/1.00 (define @t548 () (_ tptp.loc @t115)) % 0.45/1.00 (define @t549 () (@list @t115 @t486)) % 0.45/1.00 (define @t550 () (lambda @t549 (_ (_ @t343 @t548) @t486))) % 0.45/1.00 (define @t551 () (_ tptp.ins @t115)) % 0.45/1.00 (define @t552 () (lambda @t549 (_ (_ @t343 @t551) @t486))) % 0.45/1.00 (define @t553 () (@var "E2" tptp.secrecy_Expression)) % 0.45/1.00 (define @t554 () (@var "Ch3" tptp.secrecy_chanID)) % 0.45/1.00 (define @t555 () (_ (_ tptp.exprChannel @t554) @t553)) % 0.45/1.00 (define @t556 () (@var "M2" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t557 () (_ tptp.member1967978193chanID @t554)) % 0.45/1.00 (define @t558 () (_ @t557 @t556)) % 0.45/1.00 (define @t559 () (@var "SP" tptp.secrecy_specID)) % 0.45/1.00 (define @t560 () (_ tptp.ins @t559)) % 0.45/1.00 (define @t561 () (_ @t557 @t560)) % 0.45/1.00 (define @t562 () (@list @t554)) % 0.45/1.00 (define @t563 () (@list @t559 @t556 @t553)) % 0.45/1.00 (define @t564 () (lambda @t563 (exists @t562 (and @t561 @t558 @t555)))) % 0.45/1.00 (define @t565 () (lambda @t124 tptp.bot_bot_o)) % 0.45/1.00 (define @t566 () (lambda @t118 tptp.bot_bot_o)) % 0.45/1.00 (define @t567 () (_ (_ tptp.exprChannel @t121) @t553)) % 0.45/1.00 (define @t568 () (not @t567)) % 0.45/1.00 (define @t569 () (not (= @t121 @t554))) % 0.45/1.00 (define @t570 () (_ @t122 @t560)) % 0.45/1.00 (define @t571 () (@list @t121 (@var "T" tptp.nat))) % 0.45/1.00 (define @t572 () (@list @t559 @t554 @t553)) % 0.45/1.00 (define @t573 () (lambda @t572 (and @t561 @t555 (forall @t571 (=> (and @t570 @t569) @t568))))) % 0.45/1.00 (define @t574 () (lambda @t251 (= @t250 (_ (_ tptp.insert1671894227specID (_ tptp.the_el827131246specID @t250)) tptp.bot_bo1785112429specID)))) % 0.45/1.00 (define @t575 () (lambda @t253 (= @t252 (_ (_ tptp.insert751661162chanID (_ tptp.the_el2054381829chanID @t252)) tptp.bot_bo443197316chanID)))) % 0.45/1.00 (define @t576 () (@list @t559 @t553)) % 0.45/1.00 (define @t577 () (lambda @t576 (exists @t562 (and @t561 @t555)))) % 0.45/1.00 (define @t578 () (@var "ChSet2" tptp.set_Secrecy_chanID)) % 0.45/1.00 (define @t579 () (_ @t122 @t578)) % 0.45/1.00 (define @t580 () (not @t579)) % 0.45/1.00 (define @t581 () (@list @t559 @t578 @t553)) % 0.45/1.00 (define @t582 () (lambda @t581 (and (forall @t124 (=> @t579 (and @t570 @t567))) (forall @t124 (=> (and @t580 @t570) @t568))))) % 0.45/1.00 (define @t583 () (lambda @t251 (= @t250 tptp.bot_bo1785112429specID))) % 0.45/1.00 (define @t584 () (lambda @t253 (= @t252 tptp.bot_bo443197316chanID))) % 0.45/1.00 (define @t585 () (lambda @t399 (forall @t124 (=> (_ @t122 @t252) (_ @t122 @t396))))) % 0.45/1.00 (define @t586 () (lambda @t403 (forall @t118 (=> (_ @t116 @t250) (_ @t116 @t400))))) % 0.45/1.00 (define @t587 () (_ tptp.out @t559)) % 0.45/1.00 (define @t588 () (_ @t557 @t587)) % 0.45/1.00 (define @t589 () (lambda @t563 (exists @t562 (and @t588 @t558 @t555)))) % 0.45/1.00 (define @t590 () (_ @t122 @t587)) % 0.45/1.00 (define @t591 () (lambda @t581 (and (forall @t124 (=> @t579 (and @t590 @t567))) (forall @t124 (=> (and @t580 @t590) @t568))))) % 0.45/1.00 (define @t592 () (lambda @t572 (and @t588 @t555 (forall @t571 (=> (and @t590 @t569) @t568))))) % 0.45/1.00 (define @t593 () (lambda @t576 (exists @t562 (and @t588 @t555)))) % 0.45/1.00 (define @t594 () (_ tptp.out @t115)) % 0.45/1.00 (define @t595 () (lambda @t549 (_ (_ @t343 @t594) @t486))) % 0.45/1.00 (define @t596 () (_ tptp.inf_in1474033538chanID @t551)) % 0.45/1.00 (define @t597 () (lambda @t118 (and (= (_ @t596 @t594) tptp.bot_bo443197316chanID) (= (_ @t596 @t548) tptp.bot_bo443197316chanID) (= (_ (_ tptp.inf_in1474033538chanID @t548) @t594) tptp.bot_bo443197316chanID)))) % 0.45/1.00 (define @t598 () (tptp.correctCompositionIn tptp.pq)) % 0.45/1.00 (define @t599 () (tptp.ins tptp.p)) % 0.45/1.00 (define @t600 () (tptp.member1967978193chanID tptp.ch @t599)) % 0.45/1.00 (define @t601 () (tptp.subcomponents tptp.pq)) % 0.45/1.00 (define @t602 () (@purify @t566)) % 0.45/1.00 (define @t603 () (tptp.collec1545797240specID @t602)) % 0.45/1.00 (define @t604 () (tptp.insert1671894227specID tptp.q @t603)) % 0.45/1.00 (define @t605 () (tptp.insert1671894227specID tptp.p @t604)) % 0.45/1.00 (define @t606 () (_ tptp.collec1545797240specID @t602)) % 0.45/1.00 (define @t607 () (_ @t14 @t606)) % 0.45/1.00 (define @t608 () (_ tptp.collec1545797240specID @t566)) % 0.45/1.00 (define @t609 () (tptp.loc tptp.pq)) % 0.45/1.00 (define @t610 () (tptp.member1967978193chanID tptp.ch @t609)) % 0.45/1.00 (define @t611 () (tptp.ins @t18)) % 0.45/1.00 (define @t612 () (tptp.member1967978193chanID @t20 @t611)) % 0.45/1.00 (define @t613 () (tptp.ins @t23)) % 0.45/1.00 (define @t614 () (tptp.member1967978193chanID @t20 @t613)) % 0.45/1.00 (define @t615 () (not @t614)) % 0.45/1.00 (define @t616 () (tptp.loc @t18)) % 0.45/1.00 (define @t617 () (tptp.member1967978193chanID @t20 @t616)) % 0.45/1.00 (define @t618 () (tptp.correctCompositionIn @t18)) % 0.45/1.00 (define @t619 () (not @t618)) % 0.45/1.00 (define @t620 () (tptp.collec1545797240specID @t566)) % 0.45/1.00 (define @t621 () (tptp.insert1671894227specID @t33 @t608)) % 0.45/1.00 (define @t622 () (tptp.insert1671894227specID @t23 @t621)) % 0.45/1.00 (define @t623 () (tptp.subcomponents @t18)) % 0.45/1.00 (define @t624 () (= @t623 @t622)) % 0.45/1.00 (define @t625 () (not @t624)) % 0.45/1.00 (define @t626 () (or @t625 @t619 @t617 @t615 @t612)) % 0.45/1.00 (define @t627 () (tptp.insert1671894227specID @t33 tptp.bot_bo1785112429specID)) % 0.45/1.00 (define @t628 () (tptp.insert1671894227specID @t23 @t627)) % 0.45/1.00 (define @t629 () (= @t623 @t628)) % 0.45/1.00 (define @t630 () (not @t629)) % 0.45/1.00 (define @t631 () (or @t630 @t619 @t617 @t615 @t612)) % 0.45/1.00 (define @t632 () (not @t25)) % 0.45/1.00 (define @t633 () (not @t31)) % 0.45/1.00 (define @t634 () (not @t38)) % 0.45/1.00 (define @t635 () (or @t634 @t633 @t28 @t632 @t22)) % 0.45/1.00 (define @t636 () (or @t633 @t28 @t632 @t22)) % 0.45/1.00 (define @t637 () (or @t28 @t632 @t22)) % 0.45/1.00 (define @t638 () (tptp.ins tptp.pq)) % 0.45/1.00 (define @t639 () (tptp.member1967978193chanID tptp.ch @t638)) % 0.45/1.00 (define @t640 () (not @t600)) % 0.45/1.00 (define @t641 () (not @t598)) % 0.45/1.00 (define @t642 () (tptp.insert1671894227specID tptp.q @t620)) % 0.45/1.00 (define @t643 () (tptp.insert1671894227specID tptp.p @t642)) % 0.45/1.00 (define @t644 () (= @t601 @t643)) % 0.45/1.00 (define @t645 () (not @t644)) % 0.45/1.00 (define @t646 () (or @t645 @t641 @t610 @t640 @t639)) % 0.45/1.00 (define @t647 () (forall @t39 (or (not (= @t623 (tptp.insert1671894227specID @t23 (tptp.insert1671894227specID @t33 @t620)))) @t619 @t617 @t615 @t612))) % 0.45/1.00 (define @t648 () (= @t605 @t601)) % 0.45/1.00 (define @t649 () (not @t648)) % 0.45/1.00 (define @t650 () (or @t649 @t641 @t610 @t640 @t639)) % 0.45/1.00 (define @t651 () (tptp.exprChannel @t6 tptp.m)) % 0.45/1.00 (define @t652 () (tptp.member1967978193chanID @t6 @t638)) % 0.45/1.00 (define @t653 () (not @t11)) % 0.45/1.00 (define @t654 () (or @t653 @t8)) % 0.45/1.00 (define @t655 () (tptp.exprChannel tptp.ch tptp.m)) % 0.45/1.00 (define @t656 () (not @t655)) % 0.45/1.00 (define @t657 () (not @t639)) % 0.45/1.00 (define @t658 () (or @t657 @t656)) % 0.45/1.00 (assume @p1 @t1) % 0.45/1.00 (assume @p2 @t2) % 0.45/1.00 (assume @p3 @t5) % 0.45/1.00 (assume @p4 @t13) % 0.45/1.00 (assume @p5 @t17) % 0.45/1.00 (assume @p6 @t40) % 0.45/1.00 (assume @p7 (forall @t39 (=> @t38 (=> @t31 (=> @t22 (or @t25 (_ @t21 @t41))))))) % 0.45/1.00 (assume @p8 (forall @t45 (=> @t38 (=> @t31 (=> (_ @t43 @t19) (or @t44 (_ @t43 @t41))))))) % 0.45/1.00 (assume @p9 (forall @t50 (_ @t49 @t48))) % 0.45/1.00 (assume @p10 (forall @t55 (_ @t54 @t53))) % 0.45/1.00 (assume @p11 (forall @t69 (=> @t68 (=> @t38 (=> @t31 (=> (exists @t66 (and @t65 @t64 @t63 @t61)) @t58)))))) % 0.45/1.00 (assume @p12 (forall @t74 (=> @t73 (=> @t38 (=> @t31 (=> (exists @t66 (and @t71 @t61 @t64 @t63)) @t58)))))) % 0.45/1.00 (assume @p13 (forall (@list @t23 @t57 @t56 @t33 @t18 @t20) (=> @t78 (=> @t77 (=> @t38 (=> @t31 (=> @t76 (=> @t22 (not @t75))))))))) % 0.45/1.00 (assume @p14 (forall @t86 (=> (=> (not @t85) @t84) @t83))) % 0.45/1.00 (assume @p15 (forall @t94 (=> (=> (not @t93) @t92) @t91))) % 0.45/1.00 (assume @p16 (forall @t98 (= @t97 (or @t84 @t96)))) % 0.45/1.00 (assume @p17 (forall @t102 (= @t101 (or @t92 @t100)))) % 0.45/1.00 (assume @p18 (forall @t106 (= (_ @t104 @t105) @t105))) % 0.45/1.00 (assume @p19 (forall @t109 (= (_ @t107 @t108) @t108))) % 0.45/1.00 (assume @p20 (forall (@list @t110) (not (_ @t111 tptp.bot_bo1785112429specID)))) % 0.45/1.00 (assume @p21 (forall (@list @t112) (not (_ @t113 tptp.bot_bo443197316chanID)))) % 0.45/1.00 (assume @p22 (forall @t119 (= (forall @t118 (not @t117)) @t114))) % 0.45/1.00 (assume @p23 (forall @t125 (= (forall @t124 (not @t123)) @t120))) % 0.45/1.00 (assume @p24 (forall @t130 (= @t129 @t127))) % 0.45/1.00 (assume @p25 (forall @t136 (= @t135 @t133))) % 0.45/1.00 (assume @p26 (forall @t130 (= (= tptp.bot_bo1785112429specID @t128) @t127))) % 0.45/1.00 (assume @p27 (forall @t136 (= (= tptp.bot_bo443197316chanID @t134) @t133))) % 0.45/1.00 (assume @p28 (forall (@list @t20 @t57 @t23 @t56) (=> @t76 (=> @t25 (=> @t75 @t68))))) % 0.45/1.00 (assume @p29 (forall @t119 (= (exists @t118 @t117) @t137))) % 0.45/1.00 (assume @p30 (forall @t125 (= (exists @t124 @t123) @t138))) % 0.45/1.00 (assume @p31 (forall @t119 (=> (forall (@list @t139) (not @t141)) @t114))) % 0.45/1.00 (assume @p32 (forall @t125 (=> (forall (@list @t142) (not @t144)) @t120))) % 0.45/1.00 (assume @p33 (forall (@list @t99 @t46) (=> @t114 @t145))) % 0.45/1.00 (assume @p34 (forall (@list @t95 @t51) (=> @t120 @t146))) % 0.45/1.00 (assume @p35 (forall @t50 (not (_ @t49 tptp.bot_bo1785112429specID)))) % 0.45/1.00 (assume @p36 (forall @t55 (not (_ @t54 tptp.bot_bo443197316chanID)))) % 0.45/1.00 (assume @p37 (forall @t149 (=> @t96 (exists @t148 (and (= @t95 (_ @t52 @t147)) (not (_ @t54 @t147))))))) % 0.45/1.00 (assume @p38 (forall @t152 (=> @t100 (exists @t151 (and (= @t99 (_ @t47 @t150)) (not (_ @t49 @t150))))))) % 0.45/1.00 (assume @p39 (forall (@list @t103 @t153 @t99) (= (_ @t104 (_ @t154 @t99)) (_ @t154 @t105)))) % 0.45/1.00 (assume @p40 (forall (@list @t42 @t155 @t95) (= (_ @t107 (_ @t156 @t95)) (_ @t156 @t108)))) % 0.45/1.00 (assume @p41 (forall (@list @t51 @t95 @t80 @t79) (=> @t146 (=> (not (_ @t158 @t79)) (= (= @t161 @t82) (and (=> @t84 @t160) (=> @t159 (exists (@list @t157) (and (= @t95 (_ @t81 @t157)) (not (_ @t158 @t157)) (= @t79 (_ @t52 @t157)) (not (_ @t54 @t157))))))))))) % 0.45/1.00 (assume @p42 (forall (@list @t46 @t99 @t88 @t87) (=> @t145 (=> (not (_ @t163 @t87)) (= (= @t166 @t90) (and (=> @t92 @t165) (=> @t164 (exists (@list @t162) (and (= @t99 (_ @t89 @t162)) (not (_ @t163 @t162)) (= @t87 (_ @t47 @t162)) (not (_ @t49 @t162))))))))))) % 0.45/1.00 (assume @p43 (forall @t149 (=> @t96 (= @t161 @t95)))) % 0.45/1.00 (assume @p44 (forall @t152 (=> @t100 (= @t166 @t99)))) % 0.45/1.00 (assume @p45 (forall @t171 (=> @t170 (=> (not @t168) (= (= @t108 @t167) @t160))))) % 0.45/1.00 (assume @p46 (forall @t177 (=> @t176 (=> (not @t174) (= (= @t105 @t172) @t165))))) % 0.45/1.00 (assume @p47 (forall @t109 (=> @t169 (not (forall @t148 (=> (= @t95 (_ @t107 @t147)) (_ @t43 @t147))))))) % 0.45/1.00 (assume @p48 (forall @t106 (=> @t175 (not (forall @t151 (=> (= @t99 (_ @t104 @t150)) (_ @t173 @t150))))))) % 0.45/1.00 (assume @p49 (forall @t86 (=> @t85 @t83))) % 0.45/1.00 (assume @p50 (forall @t94 (=> @t93 @t91))) % 0.45/1.00 (assume @p51 (forall (@list @t51 @t79) (_ @t54 @t178))) % 0.45/1.00 (assume @p52 (forall (@list @t46 @t87) (_ @t49 @t179))) % 0.45/1.00 (assume @p53 (forall @t98 (=> @t97 (=> @t159 @t96)))) % 0.45/1.00 (assume @p54 (forall @t102 (=> @t101 (=> @t164 @t100)))) % 0.45/1.00 (assume @p55 (forall @t74 (=> @t78 (=> @t77 (=> @t38 (=> @t31 @t180)))))) % 0.45/1.00 (assume @p56 (forall @t181 (=> @t58 (=> @t38 (=> @t31 @t73))))) % 0.45/1.00 (assume @p57 (forall (@list @t46 @t88) (=> (= @t48 @t182) @t92))) % 0.45/1.00 (assume @p58 (forall (@list @t51 @t80) (=> (= @t53 @t183) @t84))) % 0.45/1.00 (assume @p59 (forall @t152 (not (= @t166 tptp.bot_bo1785112429specID)))) % 0.45/1.00 (assume @p60 (forall @t149 (not (= @t161 tptp.bot_bo443197316chanID)))) % 0.45/1.00 (assume @p61 (forall (@list @t46 @t88 @t110 @t184) (= (= (_ @t47 @t182) (_ (_ tptp.insert1671894227specID @t110) (_ (_ tptp.insert1671894227specID @t184) tptp.bot_bo1785112429specID))) (or (and (= @t46 @t110) (= @t88 @t184)) (and (= @t46 @t184) (= @t88 @t110)))))) % 0.45/1.00 (assume @p62 (forall (@list @t51 @t80 @t112 @t185) (= (= (_ @t52 @t183) (_ (_ tptp.insert751661162chanID @t112) (_ (_ tptp.insert751661162chanID @t185) tptp.bot_bo443197316chanID))) (or (and (= @t51 @t112) (= @t80 @t185)) (and (= @t51 @t185) (= @t80 @t112)))))) % 0.45/1.00 (assume @p63 (forall @t188 (= @t187 @t186))) % 0.45/1.00 (assume @p64 (forall @t191 (= @t190 @t189))) % 0.45/1.00 (assume @p65 (forall @t188 (=> @t187 @t186))) % 0.45/1.00 (assume @p66 (forall @t191 (=> @t190 @t189))) % 0.45/1.00 (assume @p67 (forall @t74 (=> @t68 (=> @t77 (=> @t38 (=> @t31 (=> (exists @t66 (and @t193 @t61 @t62)) @t180))))))) % 0.45/1.00 (assume @p68 (forall @t205 (=> @t38 (=> @t31 (=> @t204 (=> @t202 (=> @t201 (=> @t199 @t180)))))))) % 0.45/1.00 (assume @p69 (forall (@list @t51 @t131) (= (_ @t54 @t134) (_ @t131 @t51)))) % 0.45/1.00 (assume @p70 (forall (@list @t46 @t126) (= (_ @t49 @t128) (_ @t126 @t46)))) % 0.45/1.00 (assume @p71 (forall @t125 (= (_ tptp.collec625564175chanID (lambda @t124 @t123)) @t95))) % 0.45/1.00 (assume @p72 (forall @t119 (= (_ tptp.collec1545797240specID (lambda @t118 @t117)) @t99))) % 0.45/1.00 (assume @p73 (forall (@list @t131 @t206) (=> (forall @t198 (= (_ @t131 @t194) (_ @t206 @t194))) (= @t134 (_ tptp.collec625564175chanID @t206))))) % 0.45/1.00 (assume @p74 (forall (@list @t126 @t207) (=> (forall @t209 (= (_ @t126 @t208) (_ @t207 @t208))) (= @t128 (_ tptp.collec1545797240specID @t207))))) % 0.45/1.00 (assume @p75 (forall @t213 (=> @t77 (=> @t38 (=> @t31 (=> @t212 (=> @t211 @t180))))))) % 0.45/1.00 (assume @p76 (forall @t215 (= (_ tptp.the_el827131246specID @t214) @t103))) % 0.45/1.00 (assume @p77 (forall @t217 (= (_ tptp.the_el2054381829chanID @t216) @t42))) % 0.45/1.00 (assume @p78 (forall @t223 (=> @t222 (=> @t38 (=> @t31 (=> (exists @t66 (and @t71 @t64 @t63)) @t218)))))) % 0.45/1.00 (assume @p79 (forall @t224 (=> @t221 (=> @t38 (=> @t31 (=> (exists @t66 (and @t70 @t64 @t63)) @t218)))))) % 0.45/1.00 (assume @p80 (forall @t215 (_ tptp.is_sin1501507247specID @t214))) % 0.45/1.00 (assume @p81 (forall @t217 (_ tptp.is_sin581274182chanID @t216))) % 0.45/1.00 (assume @p82 (forall @t223 (=> @t222 (=> @t38 (=> @t31 (=> @t225 @t218)))))) % 0.45/1.00 (assume @p83 (forall @t228 (=> @t212 (=> @t227 @t226)))) % 0.45/1.00 (assume @p84 (forall @t232 (=> @t231 @t229))) % 0.45/1.00 (assume @p85 (forall @t232 (=> @t229 @t231))) % 0.45/1.00 (assume @p86 (forall @t228 (=> @t212 (=> (not @t227) @t221)))) % 0.45/1.00 (assume @p87 @t233) % 0.45/1.00 (assume @p88 (= tptp.bot_bo443197316chanID (_ tptp.collec625564175chanID tptp.bot_bo1012329985anID_o))) % 0.45/1.00 (assume @p89 (forall @t234 (=> @t226 @t78))) % 0.45/1.00 (assume @p90 (forall @t235 (=> @t68 @t221))) % 0.45/1.00 (assume @p91 (forall (@list @t23 @t236 @t42) (=> (not (_ @t220 @t236)) (=> (_ (_ tptp.exprChannel @t42) @t236) (not @t44))))) % 0.45/1.00 (assume @p92 (forall @t119 (=> @t137 (=> (forall @t241 (=> @t240 (=> @t141 @t238))) @t237)))) % 0.45/1.00 (assume @p93 (forall @t125 (=> @t138 (=> (forall @t245 (=> @t244 (=> @t144 @t243))) @t242)))) % 0.45/1.00 (assume @p94 (forall @t248 (=> @t247 (=> @t38 (=> @t31 (=> @t212 (=> @t211 @t246))))))) % 0.45/1.00 (assume @p95 (forall @t249 (=> @t38 (=> @t31 (=> @t204 (=> @t202 (=> @t201 (=> @t199 @t246)))))))) % 0.45/1.00 (assume @p96 (forall @t223 (=> @t221 (=> @t247 (=> @t38 (=> @t31 (=> (exists @t66 (and @t193 @t62)) @t246))))))) % 0.45/1.00 (assume @p97 (forall @t119 (=> @t237 (not (forall @t209 (not (= @t99 (_ (_ tptp.insert1671894227specID @t208) tptp.bot_bo1785112429specID)))))))) % 0.45/1.00 (assume @p98 (forall @t125 (=> @t242 (not (forall @t198 (not (= @t95 (_ (_ tptp.insert751661162chanID @t194) tptp.bot_bo443197316chanID)))))))) % 0.45/1.00 (assume @p99 (= tptp.is_sin1501507247specID (lambda @t251 (exists @t118 (= @t250 (_ (_ tptp.insert1671894227specID @t115) tptp.bot_bo1785112429specID)))))) % 0.45/1.00 (assume @p100 (= tptp.is_sin581274182chanID (lambda @t253 (exists @t124 (= @t252 (_ (_ tptp.insert751661162chanID @t121) tptp.bot_bo443197316chanID)))))) % 0.45/1.00 (assume @p101 (forall @t254 (=> @t218 (=> @t38 (=> @t31 @t222))))) % 0.45/1.00 (assume @p102 (forall @t223 (=> @t226 (=> @t247 (=> @t38 (=> @t31 @t246)))))) % 0.45/1.00 (assume @p103 (forall @t215 (=> (_ tptp.correc965049635ionLoc @t103) (=> (= (_ tptp.subcomponents @t103) tptp.bot_bo1785112429specID) (= (_ tptp.loc @t103) tptp.bot_bo443197316chanID))))) % 0.45/1.00 (assume @p104 (forall @t223 (=> @t259 (=> @t38 (=> @t256 (=> @t225 @t255)))))) % 0.45/1.00 (assume @p105 (= tptp.bot_bo1767780696ecID_o (lambda @t118 (_ @t116 tptp.bot_bo1785112429specID)))) % 0.45/1.00 (assume @p106 (= tptp.bot_bo1012329985anID_o (lambda @t124 (_ @t122 tptp.bot_bo443197316chanID)))) % 0.45/1.00 (assume @p107 (forall @t130 (= @t129 (= @t126 tptp.bot_bo1767780696ecID_o)))) % 0.45/1.00 (assume @p108 (forall @t136 (= @t135 (= @t131 tptp.bot_bo1012329985anID_o)))) % 0.45/1.00 (assume @p109 (forall (@list @t261 @t260) (_ @t262 (_ (_ tptp.insert1671894227specID @t260) tptp.bot_bo1785112429specID)))) % 0.45/1.00 (assume @p110 (forall (@list @t264 @t263) (_ @t265 (_ (_ tptp.insert751661162chanID @t263) tptp.bot_bo443197316chanID)))) % 0.45/1.00 (assume @p111 (forall (@list @t88 @t46 @t99) (= (= @t182 @t166) @t267))) % 0.45/1.00 (assume @p112 (forall (@list @t80 @t51 @t95) (= (= @t183 @t161) @t269))) % 0.45/1.00 (assume @p113 (forall @t272 (_ @t271 @t270))) % 0.45/1.00 (assume @p114 (forall @t275 (_ @t274 @t273))) % 0.45/1.00 (assume @p115 (forall @t277 (=> (forall @t198 (=> @t244 (_ @t195 @t79))) @t276))) % 0.45/1.00 (assume @p116 (forall @t279 (=> (forall @t209 (=> @t240 (_ @t239 @t87))) @t278))) % 0.45/1.00 (assume @p117 (forall @t277 (=> @t276 (=> @t281 @t160)))) % 0.45/1.00 (assume @p118 (forall @t279 (=> @t278 (=> (_ @t282 @t99) @t165)))) % 0.45/1.00 (assume @p119 (forall @t119 (_ @t283 @t99))) % 0.45/1.00 (assume @p120 (forall @t125 (_ @t284 @t95))) % 0.45/1.00 (assume @p121 (forall @t119 (= @t285 @t114))) % 0.45/1.00 (assume @p122 (forall @t125 (= @t286 @t120))) % 0.45/1.00 (assume @p123 (forall @t171 (= (_ (_ tptp.ord_le1802272080chanID @t108) @t79) (and @t168 @t276)))) % 0.45/1.00 (assume @p124 (forall @t177 (= (_ (_ tptp.ord_le996703545specID @t105) @t87) (and @t174 @t278)))) % 0.45/1.00 (assume @p125 (forall (@list @t46 @t99 @t88) (= (= @t166 @t182) @t267))) % 0.45/1.00 (assume @p126 (forall (@list @t51 @t95 @t80) (= (= @t161 @t183) @t269))) % 0.45/1.00 (assume @p127 (forall @t302 (=> (_ @t290 @t301) @t300))) % 0.45/1.00 (assume @p128 (forall @t315 (=> (_ @t290 @t314) @t313))) % 0.45/1.00 (assume @p129 (forall @t322 (=> (_ @t318 @t321) @t320))) % 0.45/1.00 (assume @p130 (forall @t327 (=> (_ @t318 @t326) @t325))) % 0.45/1.00 (assume @p131 (forall @t330 (=> @t329 (=> (_ (_ tptp.ord_le1802272080chanID @t301) @t287) @t328)))) % 0.45/1.00 (assume @p132 (forall @t332 (=> @t329 (=> (_ (_ tptp.ord_le996703545specID @t321) @t303) @t331)))) % 0.45/1.00 (assume @p133 (forall @t335 (=> @t334 (=> (_ (_ tptp.ord_le1802272080chanID @t314) @t287) @t333)))) % 0.45/1.00 (assume @p134 (forall @t337 (=> @t334 (=> (_ (_ tptp.ord_le996703545specID @t326) @t303) @t336)))) % 0.45/1.00 (assume @p135 (forall @t302 (=> (= @t289 @t301) @t300))) % 0.45/1.00 (assume @p136 (forall @t322 (=> (= @t317 @t321) @t320))) % 0.45/1.00 (assume @p137 (forall @t315 (=> (= @t289 @t314) @t313))) % 0.45/1.00 (assume @p138 (forall @t327 (=> (= @t317 @t326) @t325))) % 0.45/1.00 (assume @p139 (forall @t330 (=> @t329 (=> (= @t301 @t287) @t328)))) % 0.45/1.00 (assume @p140 (forall @t332 (=> @t329 (=> (= @t321 @t303) @t331)))) % 0.45/1.00 (assume @p141 (forall @t335 (=> @t334 (=> (= @t314 @t287) @t333)))) % 0.45/1.00 (assume @p142 (forall @t337 (=> @t334 (=> (= @t326 @t303) @t336)))) % 0.45/1.00 (assume @p143 (= @t343 (lambda @t340 (and (_ (_ tptp.ord_le1802272080chanID @t338) @t339) (_ (_ tptp.ord_le1802272080chanID @t339) @t338))))) % 0.45/1.00 (assume @p144 (= @t348 (lambda (@list @t344 @t345) (and (_ (_ tptp.ord_le996703545specID @t344) @t345) (_ (_ tptp.ord_le996703545specID @t345) @t344))))) % 0.45/1.00 (assume @p145 (forall @t354 (=> @t353 (=> @t352 @t350)))) % 0.45/1.00 (assume @p146 (forall @t360 (=> @t359 (=> @t358 @t356)))) % 0.45/1.00 (assume @p147 (forall @t354 (=> @t350 @t353))) % 0.45/1.00 (assume @p148 (forall @t360 (=> @t356 @t359))) % 0.45/1.00 (assume @p149 (forall @t363 (=> @t329 @t362))) % 0.45/1.00 (assume @p150 (forall @t366 (=> @t334 @t365))) % 0.45/1.00 (assume @p151 (forall @t367 (=> @t352 (= @t353 @t350)))) % 0.45/1.00 (assume @p152 (forall (@list @t355 @t273) (=> @t358 (= @t359 @t356)))) % 0.45/1.00 (assume @p153 (= @t343 (lambda @t370 (and (_ (_ tptp.ord_le1802272080chanID @t368) @t369) (_ (_ tptp.ord_le1802272080chanID @t369) @t368))))) % 0.45/1.00 (assume @p154 (= @t348 (lambda (@list @t371 @t372) (and (_ (_ tptp.ord_le996703545specID @t371) @t372) (_ (_ tptp.ord_le996703545specID @t372) @t371))))) % 0.45/1.00 (assume @p155 (forall @t363 (=> @t373 @t362))) % 0.45/1.00 (assume @p156 (forall @t366 (=> @t374 @t365))) % 0.45/1.00 (assume @p157 (forall @t363 (=> @t329 (=> (= @t297 @t287) @t361)))) % 0.45/1.00 (assume @p158 (forall @t366 (=> @t334 (=> (= @t310 @t303) @t364)))) % 0.45/1.00 (assume @p159 (forall @t376 (=> @t329 (=> @t375 @t373)))) % 0.45/1.00 (assume @p160 (forall @t377 (=> @t334 (=> (_ @t311 @t317) @t374)))) % 0.45/1.00 (assume @p161 (forall @t381 (=> @t353 (=> @t380 @t379)))) % 0.45/1.00 (assume @p162 (forall (@list @t273 @t355 @t382) (=> @t359 (=> (_ @t357 @t382) (_ @t274 @t382))))) % 0.45/1.00 (assume @p163 (forall @t383 (_ @t318 @t317))) % 0.45/1.00 (assume @p164 (forall @t384 (=> @t276 (=> @t169 @t168)))) % 0.45/1.00 (assume @p165 (forall @t385 (=> @t278 (=> @t175 @t174)))) % 0.45/1.00 (assume @p166 (forall (@list @t95 @t79 @t112) (=> @t276 (=> @t387 @t386)))) % 0.45/1.00 (assume @p167 (forall (@list @t99 @t87 @t110) (=> @t278 (=> @t389 @t388)))) % 0.45/1.00 (assume @p168 (forall (@list @t390 @t391 @t42 @t155) (=> @t392 (=> (_ @t43 @t391) (=> (_ (_ tptp.member1967978193chanID @t155) @t391) (=> (not (= @t42 @t155)) (_ (_ @t390 @t42) @t155))))))) % 0.45/1.00 (assume @p169 (forall (@list @t393 @t394 @t103 @t153) (=> @t395 (=> (_ @t173 @t394) (=> (_ (_ tptp.member740727610specID @t153) @t394) (=> (not (= @t103 @t153)) (_ (_ @t393 @t103) @t153))))))) % 0.45/1.00 (assume @p170 (forall (@list @t391 @t390) (=> (forall @t245 (=> (_ @t195 @t391) (=> (_ @t143 @t391) (=> (not @t243) (_ (_ @t390 @t194) @t142))))) @t392))) % 0.45/1.00 (assume @p171 (forall (@list @t394 @t393) (=> (forall @t241 (=> (_ @t239 @t394) (=> (_ @t140 @t394) (=> (not @t238) (_ (_ @t393 @t208) @t139))))) @t395))) % 0.45/1.00 (assume @p172 (= tptp.ord_le1802272080chanID (lambda @t399 (forall (@list @t397) (=> (_ @t398 @t252) (_ @t398 @t396)))))) % 0.45/1.00 (assume @p173 (= tptp.ord_le996703545specID (lambda @t403 (forall (@list @t401) (=> (_ @t402 @t250) (_ @t402 @t400)))))) % 0.45/1.00 (assume @p174 (forall @t383 (=> @t405 @t404))) % 0.45/1.00 (assume @p175 (forall @t408 (=> @t407 @t406))) % 0.45/1.00 (assume @p176 (forall @t383 (= @t405 @t404))) % 0.45/1.00 (assume @p177 (forall @t408 (= @t407 @t406))) % 0.45/1.00 (assume @p178 (forall @t383 (_ @t283 @t317))) % 0.45/1.00 (assume @p179 (forall @t408 (_ @t284 @t289))) % 0.45/1.00 (assume @p180 (forall (@list @t99 @t87 @t88) (=> @t278 (_ @t266 @t90)))) % 0.45/1.00 (assume @p181 (forall (@list @t95 @t79 @t80) (=> @t276 (_ @t268 @t82)))) % 0.45/1.00 (assume @p182 (forall (@list @t87 @t46) (_ @t282 @t179))) % 0.45/1.00 (assume @p183 (forall (@list @t79 @t51) (_ @t280 @t178))) % 0.45/1.00 (assume @p184 (forall @t171 (=> @t170 (= (_ @t268 @t167) @t276)))) % 0.45/1.00 (assume @p185 (forall @t177 (=> @t176 (= (_ @t266 @t172) @t278)))) % 0.45/1.00 (assume @p186 (forall (@list @t410 @t409 @t46) (=> (_ (_ tptp.ord_le996703545specID @t410) @t409) (_ (_ tptp.ord_le996703545specID (_ @t47 @t410)) (_ @t47 @t409))))) % 0.45/1.00 (assume @p187 (forall (@list @t412 @t411 @t51) (=> (_ @t413 @t411) (_ (_ tptp.ord_le1802272080chanID (_ @t52 @t412)) (_ @t52 @t411))))) % 0.45/1.00 (assume @p188 (forall (@list @t261) (_ @t262 tptp.bot_bo1785112429specID))) % 0.45/1.00 (assume @p189 (forall (@list @t264) (_ @t265 tptp.bot_bo443197316chanID))) % 0.45/1.00 (assume @p190 (forall (@list @t415 @t42 @t414) (= (_ @t416 (_ @t107 @t414)) (and (forall (@list @t417) (=> (and (_ (_ tptp.member1967978193chanID @t417) @t414) (not (= @t417 @t42))) (and (_ (_ @t415 @t42) @t417) (_ (_ @t415 @t417) @t42)))) (_ @t416 @t414))))) % 0.45/1.00 (assume @p191 (forall (@list @t419 @t103 @t418) (= (_ @t420 (_ @t104 @t418)) (and (forall (@list @t421) (=> (and (_ (_ tptp.member740727610specID @t421) @t418) (not (= @t421 @t103))) (and (_ (_ @t419 @t103) @t421) (_ (_ @t419 @t421) @t103)))) (_ @t420 @t418))))) % 0.45/1.00 (assume @p192 (forall (@list @t422 @t46) (= (_ @t423 @t48) (or (= @t422 tptp.bot_bo1785112429specID) (= @t422 @t48))))) % 0.45/1.00 (assume @p193 (forall (@list @t424 @t51) (= (_ @t425 @t53) (or (= @t424 tptp.bot_bo443197316chanID) (= @t424 @t53))))) % 0.45/1.00 (assume @p194 (forall (@list @t99 @t103) (=> (_ @t266 @t214) (or @t114 @t426)))) % 0.45/1.00 (assume @p195 (forall (@list @t95 @t42) (=> (_ @t268 @t216) (or @t120 @t427)))) % 0.45/1.00 (assume @p196 (forall @t254 (=> @t255 (=> @t38 (=> @t256 @t259))))) % 0.45/1.00 (assume @p197 (forall @t223 (=> @t258 (=> @t431 (=> @t38 (=> @t256 (=> (exists @t66 (and @t430 @t62)) @t428))))))) % 0.45/1.00 (assume @p198 (forall @t249 (=> @t38 (=> @t256 (=> @t434 (=> @t432 (=> @t201 (=> @t199 @t428)))))))) % 0.45/1.00 (assume @p199 (forall @t248 (=> @t431 (=> @t38 (=> @t256 (=> @t435 (=> @t211 @t428))))))) % 0.45/1.00 (assume @p200 (forall @t223 (=> @t259 (=> @t38 (=> @t256 (=> (exists @t66 (and @t440 @t64 @t63)) @t255)))))) % 0.45/1.00 (assume @p201 (forall @t224 (=> @t258 (=> @t38 (=> @t256 (=> (exists @t66 (and @t439 @t64 @t63)) @t255)))))) % 0.45/1.00 (assume @p202 (forall @t181 (=> @t444 (=> @t38 (=> @t256 @t443))))) % 0.45/1.00 (assume @p203 (forall @t234 (=> (not @t258) (not @t442)))) % 0.45/1.00 (assume @p204 (forall @t235 (=> @t442 @t258))) % 0.45/1.00 (assume @p205 (forall @t232 (=> @t446 @t445))) % 0.45/1.00 (assume @p206 (forall @t232 (=> @t445 @t446))) % 0.45/1.00 (assume @p207 (forall @t213 (=> @t448 (=> @t38 (=> @t256 (=> @t435 (=> @t211 @t447))))))) % 0.45/1.00 (assume @p208 (forall @t69 (=> @t442 (=> @t38 (=> @t256 (=> (exists @t66 (and @t437 @t64 @t63 @t61)) @t444)))))) % 0.45/1.00 (assume @p209 (forall @t74 (=> @t443 (=> @t38 (=> @t256 (=> (exists @t66 (and @t440 @t61 @t64 @t63)) @t444)))))) % 0.45/1.00 (assume @p210 (forall @t74 (=> @t442 (=> @t448 (=> @t38 (=> @t256 (=> (exists @t66 (and @t430 @t61 @t62)) @t447))))))) % 0.45/1.00 (assume @p211 (forall @t45 (=> @t38 (=> @t256 (=> (_ @t43 (_ tptp.out @t18)) (or (_ @t43 @t438) (_ @t43 @t436))))))) % 0.45/1.00 (assume @p212 (forall @t205 (=> @t38 (=> @t256 (=> @t434 (=> @t432 (=> (= @t57 (_ (_ tptp.sup_su370684444chanID @t200) @t197)) (=> @t201 (=> @t199 @t447))))))))) % 0.45/1.00 (assume @p213 (forall (@list @t42 @t95 @t424) (=> @t169 (=> (_ @t425 @t95) (_ (_ tptp.ord_le1802272080chanID (_ @t107 @t424)) @t95))))) % 0.45/1.00 (assume @p214 (forall (@list @t103 @t99 @t422) (=> @t175 (=> (_ @t423 @t99) (_ (_ tptp.ord_le996703545specID (_ @t104 @t422)) @t99))))) % 0.45/1.00 (assume @p215 (forall @t452 (=> (=> (not @t388) @t389) @t451))) % 0.45/1.00 (assume @p216 (forall @t456 (=> (=> (not @t386) @t387) @t455))) % 0.45/1.00 (assume @p217 (forall @t457 (= @t451 (or @t389 @t388)))) % 0.45/1.00 (assume @p218 (forall @t458 (= @t455 (or @t387 @t386)))) % 0.45/1.00 (assume @p219 (forall @t279 (= (= @t450 tptp.bot_bo1785112429specID) (and @t114 @t459)))) % 0.45/1.00 (assume @p220 (forall @t277 (= (= @t454 tptp.bot_bo443197316chanID) (and @t120 @t460)))) % 0.45/1.00 (assume @p221 (forall (@list @t46 @t87 @t410) (= (_ (_ tptp.sup_su1712599557specID @t179) @t410) (_ @t47 (_ (_ tptp.sup_su1712599557specID @t87) @t410))))) % 0.45/1.00 (assume @p222 (forall (@list @t51 @t79 @t412) (= (_ (_ tptp.sup_su370684444chanID @t178) @t412) (_ @t52 @t462)))) % 0.45/1.00 (assume @p223 (forall (@list @t99 @t46 @t87) (= (_ @t449 @t179) (_ @t47 @t450)))) % 0.45/1.00 (assume @p224 (forall (@list @t95 @t51 @t79) (= (_ @t453 @t178) (_ @t52 @t454)))) % 0.45/1.00 (assume @p225 (forall @t467 (= @t466 (and @t464 @t463)))) % 0.45/1.00 (assume @p226 (forall (@list @t87) (= (_ @t468 @t87) @t87))) % 0.45/1.00 (assume @p227 (forall (@list @t79) (= (_ @t469 @t79) @t79))) % 0.45/1.00 (assume @p228 (forall @t119 (= (_ @t449 tptp.bot_bo1785112429specID) @t99))) % 0.45/1.00 (assume @p229 (forall @t125 (= (_ @t453 tptp.bot_bo443197316chanID) @t95))) % 0.45/1.00 (assume @p230 (= tptp.ord_le1802272080chanID (lambda @t399 (= (_ (_ tptp.sup_su370684444chanID @t252) @t396) @t396)))) % 0.45/1.00 (assume @p231 (forall @t472 (=> (_ @t413 @t454) (not (forall (@list @t471) (=> (_ (_ tptp.ord_le1802272080chanID @t471) @t95) (forall (@list @t470) (=> (_ (_ tptp.ord_le1802272080chanID @t470) @t79) (not (= @t412 (_ (_ tptp.sup_su370684444chanID @t471) @t470))))))))))) % 0.45/1.00 (assume @p232 (forall @t473 (=> @t281 (= @t454 @t95)))) % 0.45/1.00 (assume @p233 (forall @t277 (=> @t276 (= @t454 @t79)))) % 0.45/1.00 (assume @p234 (forall @t473 (_ @t280 @t454))) % 0.45/1.00 (assume @p235 (forall @t277 (_ @t268 @t454))) % 0.45/1.00 (assume @p236 (forall (@list @t95 @t412 @t79) (=> @t464 (=> @t463 @t466)))) % 0.45/1.00 (assume @p237 (forall (@list @t95 @t412 @t79 @t411) (=> @t464 (=> (_ @t280 @t411) (_ @t465 (_ (_ tptp.sup_su370684444chanID @t412) @t411)))))) % 0.45/1.00 (assume @p238 (forall (@list @t23 @t95 @t56 @t79) (=> (_ (_ @t67 @t95) @t56) (_ (_ @t67 @t454) @t56)))) % 0.45/1.00 (assume @p239 (forall @t457 (=> @t451 (=> @t474 @t388)))) % 0.45/1.00 (assume @p240 (forall @t458 (=> @t455 (=> @t475 @t386)))) % 0.45/1.00 (assume @p241 (forall @t457 (=> @t389 @t451))) % 0.45/1.00 (assume @p242 (forall @t458 (=> @t387 @t455))) % 0.45/1.00 (assume @p243 (forall @t452 (=> @t388 @t451))) % 0.45/1.00 (assume @p244 (forall @t456 (=> @t386 @t455))) % 0.45/1.00 (assume @p245 (forall @t478 (= (exists @t124 (and @t477 @t132)) (or (exists @t124 (and @t123 @t132)) (exists @t124 (and @t476 @t132)))))) % 0.45/1.00 (assume @p246 (forall @t478 (= (forall @t124 (=> @t477 @t132)) (and (forall @t124 (=> @t123 @t132)) (forall @t124 (=> @t476 @t132)))))) % 0.45/1.00 (assume @p247 (forall @t467 (= (_ (_ tptp.sup_su370684444chanID @t454) @t412) @t479))) % 0.45/1.00 (assume @p248 (forall @t125 (= (_ @t453 @t95) @t95))) % 0.45/1.00 (assume @p249 (= tptp.sup_su370684444chanID (lambda @t399 (_ (_ tptp.sup_su370684444chanID @t396) @t252)))) % 0.45/1.00 (assume @p250 (forall @t277 (= (_ @t453 @t454) @t454))) % 0.45/1.00 (assume @p251 (forall @t467 (= @t479 (_ @t461 (_ @t453 @t412))))) % 0.45/1.00 (assume @p252 (forall @t177 (= (= @t214 @t450) @t481))) % 0.45/1.00 (assume @p253 (forall @t171 (= (= @t216 @t454) @t483))) % 0.45/1.00 (assume @p254 (forall @t385 (= (= @t450 @t214) @t481))) % 0.45/1.00 (assume @p255 (forall @t384 (= (= @t454 @t216) @t483))) % 0.45/1.00 (assume @p256 (= tptp.insert1671894227specID (lambda (@list @t485 @t484) (_ (_ tptp.sup_su1712599557specID (_ (_ tptp.insert1671894227specID @t485) tptp.bot_bo1785112429specID)) @t484)))) % 0.45/1.00 (assume @p257 (= tptp.insert751661162chanID (lambda (@list @t487 @t486) (_ (_ tptp.sup_su370684444chanID (_ (_ tptp.insert751661162chanID @t487) tptp.bot_bo443197316chanID)) @t486)))) % 0.45/1.00 (assume @p258 (forall @t119 (=> (forall @t209 (not @t240)) @t285))) % 0.45/1.00 (assume @p259 (forall @t125 (=> (forall @t198 (not @t244)) @t286))) % 0.45/1.00 (assume @p260 (forall @t383 (= (_ @t488 tptp.bot_bo1785112429specID) @t317))) % 0.45/1.00 (assume @p261 (forall @t408 (= (_ @t489 tptp.bot_bo443197316chanID) @t289))) % 0.45/1.00 (assume @p262 (forall @t377 (= (= tptp.bot_bo1785112429specID @t491) @t490))) % 0.45/1.00 (assume @p263 (forall @t376 (= (= tptp.bot_bo443197316chanID @t493) @t492))) % 0.45/1.00 (assume @p264 (forall @t383 (= (_ @t468 @t317) @t317))) % 0.45/1.00 (assume @p265 (forall @t408 (= (_ @t469 @t289) @t289))) % 0.45/1.00 (assume @p266 (forall @t381 (= (_ (_ tptp.ord_le1802272080chanID @t495) @t378) (and @t379 @t380)))) % 0.45/1.00 (assume @p267 (forall @t499 (= @t498 (and @t375 @t497)))) % 0.45/1.00 (assume @p268 (forall @t275 (= (_ @t468 @t273) @t273))) % 0.45/1.00 (assume @p269 (forall @t272 (= (_ @t469 @t270) @t270))) % 0.45/1.00 (assume @p270 (forall @t275 (= (_ @t500 tptp.bot_bo1785112429specID) @t273))) % 0.45/1.00 (assume @p271 (forall @t272 (= (_ @t494 tptp.bot_bo443197316chanID) @t270))) % 0.45/1.00 (assume @p272 (forall @t360 (= (= tptp.bot_bo1785112429specID @t502) @t501))) % 0.45/1.00 (assume @p273 (forall @t354 (= (= tptp.bot_bo443197316chanID @t495) @t503))) % 0.45/1.00 (assume @p274 (forall @t360 (= (= @t502 tptp.bot_bo1785112429specID) @t501))) % 0.45/1.00 (assume @p275 (forall @t354 (= (= @t495 tptp.bot_bo443197316chanID) @t503))) % 0.45/1.00 (assume @p276 (forall @t377 (= (= @t491 tptp.bot_bo1785112429specID) @t490))) % 0.45/1.00 (assume @p277 (forall @t376 (= (= @t493 tptp.bot_bo443197316chanID) @t492))) % 0.45/1.00 (assume @p278 (forall @t367 (_ @t351 @t495))) % 0.45/1.00 (assume @p279 (forall @t354 (_ @t271 @t495))) % 0.45/1.00 (assume @p280 (forall (@list @t289 @t297 @t270) (=> @t507 (not (=> @t505 (not @t504)))))) % 0.45/1.00 (assume @p281 (forall (@list @t289 @t270 @t297) (=> @t505 (=> @t504 @t507)))) % 0.45/1.00 (assume @p282 (forall (@list @t270 @t289 @t297) (=> (_ @t271 @t289) @t508))) % 0.45/1.00 (assume @p283 (forall (@list @t270 @t297 @t289) (=> (_ @t271 @t297) @t508))) % 0.45/1.00 (assume @p284 (forall (@list @t287 @t289 @t509 @t297) (=> @t497 (=> (_ (_ tptp.ord_le1802272080chanID @t509) @t297) (_ (_ tptp.ord_le1802272080chanID @t510) @t493))))) % 0.45/1.00 (assume @p285 (forall (@list @t289 @t287 @t297 @t509) (=> @t361 (=> (_ @t298 @t509) (_ @t506 @t510))))) % 0.45/1.00 (assume @p286 (forall (@list @t349 @t270 @t378) (=> @t352 (=> (_ (_ tptp.ord_le1802272080chanID @t378) @t270) (_ (_ tptp.ord_le1802272080chanID (_ (_ tptp.sup_su370684444chanID @t349) @t378)) @t270))))) % 0.45/1.00 (assume @p287 (= tptp.ord_le1802272080chanID (lambda @t340 (= (_ (_ tptp.sup_su370684444chanID @t338) @t339) @t339)))) % 0.45/1.00 (assume @p288 (forall @t512 (=> @t375 @t511))) % 0.45/1.00 (assume @p289 (forall @t376 (=> @t511 @t375))) % 0.45/1.00 (assume @p290 (forall (@list @t513 @t270 @t349) (=> (forall @t295 (_ @t293 @t516)) (=> (forall @t295 (_ @t515 @t516)) (=> (forall (@list @t292 @t291 @t514) (=> (_ @t515 @t292) (=> (_ (_ tptp.ord_le1802272080chanID @t514) @t292) (_ (_ tptp.ord_le1802272080chanID (_ (_ @t513 @t291) @t514)) @t292)))) (= @t495 (_ (_ @t513 @t270) @t349))))))) % 0.45/1.00 (assume @p291 (forall @t512 (=> @t375 (= @t493 @t289)))) % 0.45/1.00 (assume @p292 (forall @t376 (=> @t329 (= @t493 @t297)))) % 0.45/1.00 (assume @p293 (forall @t367 (=> @t352 (= @t495 @t270)))) % 0.45/1.00 (assume @p294 (forall @t354 (=> @t353 (= @t495 @t349)))) % 0.45/1.00 (assume @p295 (forall @t499 (=> @t498 (not (=> @t375 (not @t497)))))) % 0.45/1.00 (assume @p296 (forall (@list @t297 @t289 @t287) (=> @t375 (=> @t497 @t498)))) % 0.45/1.00 (assume @p297 (= tptp.ord_le1802272080chanID (lambda @t518 (= @t368 @t517)))) % 0.45/1.00 (assume @p298 (forall @t376 (_ @t290 @t493))) % 0.45/1.00 (assume @p299 (forall @t512 (_ @t298 @t493))) % 0.45/1.00 (assume @p300 (= tptp.ord_le1802272080chanID (lambda @t518 (= @t517 @t368)))) % 0.45/1.00 (assume @p301 (= tptp.ord_le1802272080chanID (lambda @t370 (= @t517 @t369)))) % 0.45/1.00 (assume @p302 (forall (@list @t287 @t289 @t297) (=> @t497 @t519))) % 0.45/1.00 (assume @p303 (forall (@list @t287 @t297 @t289) (=> (_ @t496 @t297) @t519))) % 0.45/1.00 (assume @p304 (forall (@list @t99 @t88) (= (_ @t266 (_ tptp.uminus238526242specID @t182)) (not (_ @t163 @t99))))) % 0.45/1.00 (assume @p305 (forall (@list @t95 @t80) (= (_ @t268 (_ tptp.uminus1044094777chanID @t183)) (not (_ @t158 @t95))))) % 0.45/1.00 (assume @p306 (forall @t457 (=> @t389 (=> @t388 @t522)))) % 0.45/1.00 (assume @p307 (forall @t458 (=> @t387 (=> @t386 @t525)))) % 0.45/1.00 (assume @p308 (forall @t457 (= @t522 (and @t389 @t388)))) % 0.45/1.00 (assume @p309 (forall @t458 (= @t525 (and @t387 @t386)))) % 0.45/1.00 (assume @p310 (forall @t527 (=> @t475 @t526))) % 0.45/1.00 (assume @p311 (forall @t529 (=> @t474 @t528))) % 0.45/1.00 (assume @p312 (forall @t527 (= @t526 @t475))) % 0.45/1.00 (assume @p313 (forall @t529 (= @t528 @t474))) % 0.45/1.00 (assume @p314 (forall @t381 (= (_ @t271 (_ (_ tptp.inf_in1474033538chanID @t349) @t378)) (and @t353 @t379)))) % 0.45/1.00 (assume @p315 (forall @t363 (= (_ @t290 (_ (_ tptp.inf_in1474033538chanID @t297) @t287)) (and @t329 @t361)))) % 0.45/1.00 (assume @p316 (forall @t275 (= (_ (_ tptp.inf_in668465003specID tptp.bot_bo1785112429specID) @t273) tptp.bot_bo1785112429specID))) % 0.45/1.00 (assume @p317 (forall @t272 (= (_ (_ tptp.inf_in1474033538chanID tptp.bot_bo443197316chanID) @t270) tptp.bot_bo443197316chanID))) % 0.45/1.00 (assume @p318 (forall @t275 (= (_ (_ tptp.inf_in668465003specID @t273) tptp.bot_bo1785112429specID) tptp.bot_bo1785112429specID))) % 0.45/1.00 (assume @p319 (forall @t272 (= (_ (_ tptp.inf_in1474033538chanID @t270) tptp.bot_bo443197316chanID) tptp.bot_bo443197316chanID))) % 0.45/1.00 (assume @p320 (forall @t533 (=> (not @t532) (= @t531 @t530)))) % 0.45/1.00 (assume @p321 (forall @t537 (=> (not @t536) (= @t535 @t534)))) % 0.45/1.00 (assume @p322 (forall @t533 (=> @t532 (= @t531 (_ @t47 @t530))))) % 0.45/1.00 (assume @p323 (forall @t537 (=> @t536 (= @t535 (_ @t52 @t534))))) % 0.45/1.00 (assume @p324 (forall @t539 (= (_ (_ tptp.inf_in668465003specID @t166) @t179) @t538))) % 0.45/1.00 (assume @p325 (forall @t541 (= (_ (_ tptp.inf_in1474033538chanID @t161) @t178) @t540))) % 0.45/1.00 (assume @p326 (forall @t539 (=> @t145 (= @t542 @t521)))) % 0.45/1.00 (assume @p327 (forall @t541 (=> @t146 (= @t543 @t524)))) % 0.45/1.00 (assume @p328 (forall @t539 (=> @t100 (= @t542 @t538)))) % 0.45/1.00 (assume @p329 (forall @t541 (=> @t96 (= @t543 @t540)))) % 0.45/1.00 (assume @p330 (forall @t472 (= (_ @t413 @t524) (and (_ @t413 @t95) (_ @t413 @t79))))) % 0.45/1.00 (assume @p331 (forall (@list @t544 @t391) (= (_ (_ tptp.sup_su370684444chanID @t544) (_ (_ tptp.inf_in1474033538chanID @t391) @t544)) @t544))) % 0.45/1.00 (assume @p332 @t547) % 0.45/1.00 (assume @p333 true) % 0.45/1.00 (step @p334 (= tptp.locStream @t550) :rule refl :args (@t550)) % 0.45/1.00 (step @p335 (= tptp.inStream @t552) :rule refl :args (@t552)) % 0.45/1.00 (step @p336 (= tptp.ineM @t564) :rule refl :args (@t564)) % 0.45/1.00 (step @p337 (= tptp.bot_bo1012329985anID_o @t565) :rule refl :args (@t565)) % 0.45/1.00 (step @p338 (= tptp.bot_bo1767780696ecID_o @t566) :rule refl :args (@t566)) % 0.45/1.00 (step @p339 (= tptp.ine_ex1303305700Single @t573) :rule refl :args (@t573)) % 0.45/1.00 (step @p340 (= tptp.is_sin1501507247specID @t574) :rule refl :args (@t574)) % 0.45/1.00 (step @p341 (= tptp.is_sin581274182chanID @t575) :rule refl :args (@t575)) % 0.45/1.00 (step @p342 (= tptp.ine @t577) :rule refl :args (@t577)) % 0.45/1.00 (step @p343 (= tptp.ine_exprChannelSet @t582) :rule refl :args (@t582)) % 0.45/1.00 (step @p344 (= tptp.is_emp1849217361specID @t583) :rule refl :args (@t583)) % 0.45/1.00 (step @p345 (= tptp.is_emp928984296chanID @t584) :rule refl :args (@t584)) % 0.45/1.00 (step @p346 (= tptp.ord_le1802272080chanID @t585) :rule refl :args (@t585)) % 0.45/1.00 (step @p347 (= tptp.ord_le996703545specID @t586) :rule refl :args (@t586)) % 0.45/1.00 (step @p348 (= tptp.eoutM @t589) :rule refl :args (@t589)) % 0.45/1.00 (step @p349 (= tptp.out_exprChannelSet @t591) :rule refl :args (@t591)) % 0.45/1.00 (step @p350 (= tptp.out_ex985543062Single @t592) :rule refl :args (@t592)) % 0.45/1.00 (step @p351 (= tptp.eout @t593) :rule refl :args (@t593)) % 0.45/1.00 (step @p352 (= tptp.outStream @t595) :rule refl :args (@t595)) % 0.45/1.00 (step @p353 (= tptp.correctInOutLoc @t597) :rule refl :args (@t597)) % 0.45/1.00 (step @p354 :rule refl :args (@t598)) % 0.45/1.00 (step @p355 :rule refl :args (@t1)) % 0.45/1.00 (step @p356 :rule cong :premises (@p355 @p354) :args ((= @t1 @t598))) % 0.45/1.00 (step @p357 :rule symm :premises (@p356)) % 0.45/1.00 (step @p358 :rule eq_resolve :premises (@p355 @p357)) % 0.45/1.00 (step @p359 :rule eq_resolve :premises (@p1 @p358)) % 0.45/1.00 (step @p360 :rule refl :args ((tptp.member1967978193chanID tptp.ch @t3))) % 0.45/1.00 (step @p361 :rule refl :args (@t599)) % 0.45/1.00 (step @p362 :rule refl :args (tptp.ch)) % 0.45/1.00 (step @p363 :rule cong :premises (@p362 @p361) :args (@t600)) % 0.45/1.00 (step @p364 :rule trans :premises (@p363 @p360)) % 0.45/1.00 (step @p365 :rule refl :args (@t4)) % 0.45/1.00 (step @p366 :rule ho_cong :premises (@p365 @p361)) % 0.45/1.00 (step @p367 :rule cong :premises (@p366 @p364) :args ((= (_ @t4 @t599) @t600))) % 0.45/1.00 (step @p368 :rule symm :premises (@p367)) % 0.45/1.00 (step @p369 :rule refl :args (@t5)) % 0.45/1.00 (step @p370 :rule eq_resolve :premises (@p369 @p368)) % 0.45/1.00 (step @p371 :rule refl :args (@t3)) % 0.45/1.00 (step @p372 :rule cong :premises (@p371 @p361) :args ((= @t3 @t599))) % 0.45/1.00 (step @p373 :rule symm :premises (@p372)) % 0.45/1.00 (step @p374 :rule eq_resolve :premises (@p371 @p373)) % 0.45/1.00 (step @p375 :rule refl :args (@t4)) % 0.45/1.00 (step @p376 :rule ho_cong :premises (@p375 @p374)) % 0.45/1.00 (step @p377 :rule trans :premises (@p376 @p370)) % 0.45/1.00 (step @p378 :rule eq_resolve :premises (@p3 @p377)) % 0.45/1.00 (step @p379 :rule eq-symm :args (@t601 @t605)) % 0.45/1.00 (step @p380 :rule refl :args ((tptp.insert1671894227specID tptp.p @t607))) % 0.45/1.00 (step @p381 :rule refl :args ((tptp.insert1671894227specID tptp.q @t606))) % 0.45/1.00 (step @p382 :rule refl :args (@t603)) % 0.45/1.00 (step @p383 :rule refl :args (tptp.q)) % 0.45/1.00 (step @p384 :rule cong :premises (@p383 @p382) :args (@t604)) % 0.45/1.00 (step @p385 :rule trans :premises (@p384 @p381)) % 0.45/1.00 (step @p386 :rule refl :args (tptp.p)) % 0.45/1.00 (step @p387 :rule cong :premises (@p386 @p385) :args (@t605)) % 0.45/1.00 (step @p388 :rule trans :premises (@p387 @p380)) % 0.45/1.00 (step @p389 :rule refl :args (@t15)) % 0.45/1.00 (step @p390 :rule ho_cong :premises (@p389 @p385)) % 0.45/1.00 (step @p391 :rule cong :premises (@p390 @p388) :args ((= (_ @t15 @t604) @t605))) % 0.45/1.00 (step @p392 :rule symm :premises (@p391)) % 0.45/1.00 (step @p393 :rule refl :args ((_ @t15 @t607))) % 0.45/1.00 (step @p394 :rule eq_resolve :premises (@p393 @p392)) % 0.45/1.00 (step @p395 :rule refl :args (@t14)) % 0.45/1.00 (step @p396 :rule ho_cong :premises (@p395 @p382)) % 0.45/1.00 (step @p397 :rule cong :premises (@p396 @p385) :args ((= (_ @t14 @t603) @t604))) % 0.45/1.00 (step @p398 :rule symm :premises (@p397)) % 0.45/1.00 (step @p399 :rule refl :args (@t607)) % 0.45/1.00 (step @p400 :rule eq_resolve :premises (@p399 @p398)) % 0.45/1.00 (step @p401 :rule refl :args (@t606)) % 0.45/1.00 (step @p402 :rule cong :premises (@p401 @p382) :args ((= @t606 @t603))) % 0.45/1.00 (step @p403 :rule symm :premises (@p402)) % 0.45/1.00 (step @p404 :rule eq_resolve :premises (@p401 @p403)) % 0.45/1.00 (step @p405 :rule eq-refl :args (@t566)) % 0.45/1.00 (step @p406 :rule skolem_intro :args (@t602)) % 0.45/1.00 (step @p407 :rule refl :args (@t566)) % 0.45/1.00 (step @p408 :rule cong :premises (@p407 @p406) :args ((= @t566 @t602))) % 0.45/1.00 (step @p409 :rule trans :premises (@p408 @p405)) % 0.45/1.00 (step @p410 :rule true_elim :premises (@p409)) % 0.45/1.00 (step @p411 :rule refl :args (tptp.collec1545797240specID)) % 0.45/1.00 (step @p412 :rule ho_cong :premises (@p411 @p410)) % 0.45/1.00 (step @p413 :rule trans :premises (@p412 @p404)) % 0.45/1.00 (step @p414 :rule refl :args (@t14)) % 0.45/1.00 (step @p415 :rule ho_cong :premises (@p414 @p413)) % 0.45/1.00 (step @p416 :rule trans :premises (@p415 @p400)) % 0.45/1.00 (step @p417 :rule refl :args (@t15)) % 0.45/1.00 (step @p418 :rule ho_cong :premises (@p417 @p416)) % 0.45/1.00 (step @p419 :rule trans :premises (@p418 @p394)) % 0.45/1.00 (step @p420 :rule refl :args (@t601)) % 0.45/1.00 (step @p421 :rule refl :args (@t16)) % 0.45/1.00 (step @p422 :rule cong :premises (@p421 @p420) :args ((= @t16 @t601))) % 0.45/1.00 (step @p423 :rule symm :premises (@p422)) % 0.45/1.00 (step @p424 :rule eq_resolve :premises (@p421 @p423)) % 0.45/1.00 (step @p425 :rule cong :premises (@p424 @p419) :args ((= @t16 (_ @t15 (_ @t14 @t608))))) % 0.45/1.00 (step @p426 :rule trans :premises (@p425 @p379)) % 0.45/1.00 (step @p427 :rule ho_cong :premises (@p411 @p338)) % 0.45/1.00 (step @p428 :rule refl :args (tptp.bot_bo1785112429specID)) % 0.45/1.00 (step @p429 :rule cong :premises (@p428 @p427) :args (@t233)) % 0.45/1.00 (step @p430 :rule eq_resolve :premises (@p87 @p429)) % 0.45/1.00 (step @p431 :rule ho_cong :premises (@p414 @p430)) % 0.45/1.00 (step @p432 :rule ho_cong :premises (@p417 @p431)) % 0.45/1.00 (step @p433 :rule refl :args (@t16)) % 0.45/1.00 (step @p434 :rule cong :premises (@p433 @p432) :args (@t17)) % 0.45/1.00 (step @p435 :rule trans :premises (@p434 @p426)) % 0.45/1.00 (step @p436 :rule eq_resolve :premises (@p5 @p435)) % 0.45/1.00 (step @p437 :rule refl :args ((tptp.member1967978193chanID tptp.ch @t545))) % 0.45/1.00 (step @p438 :rule refl :args (@t609)) % 0.45/1.00 (step @p439 :rule cong :premises (@p362 @p438) :args (@t610)) % 0.45/1.00 (step @p440 :rule trans :premises (@p439 @p437)) % 0.45/1.00 (step @p441 :rule ho_cong :premises (@p365 @p438)) % 0.45/1.00 (step @p442 :rule cong :premises (@p441 @p440) :args ((= (_ @t4 @t609) @t610))) % 0.45/1.00 (step @p443 :rule symm :premises (@p442)) % 0.45/1.00 (step @p444 :rule refl :args (@t546)) % 0.45/1.00 (step @p445 :rule eq_resolve :premises (@p444 @p443)) % 0.45/1.00 (step @p446 :rule refl :args (@t545)) % 0.45/1.00 (step @p447 :rule cong :premises (@p446 @p438) :args ((= @t545 @t609))) % 0.45/1.00 (step @p448 :rule symm :premises (@p447)) % 0.45/1.00 (step @p449 :rule eq_resolve :premises (@p446 @p448)) % 0.45/1.00 (step @p450 :rule ho_cong :premises (@p375 @p449)) % 0.45/1.00 (step @p451 :rule trans :premises 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@p466) :args (@t624)) % 0.45/1.00 (step @p469 :rule cong :premises (@p468) :args (@t625)) % 0.45/1.00 (step @p470 :rule nary_cong :premises (@p469 @p457 @p456 @p455 @p454) :args (@t626)) % 0.45/1.00 (step @p471 :rule cong :premises (@p470) :args ((forall @t39 @t626))) % 0.45/1.00 (step @p472 :rule refl :args (@t612)) % 0.45/1.00 (step @p473 :rule refl :args (@t615)) % 0.45/1.00 (step @p474 :rule refl :args (@t617)) % 0.45/1.00 (step @p475 :rule refl :args (@t619)) % 0.45/1.00 (step @p476 :rule refl :args (@t33)) % 0.45/1.00 (step @p477 :rule cong :premises (@p476 @p430) :args (@t627)) % 0.45/1.00 (step @p478 :rule refl :args (@t23)) % 0.45/1.00 (step @p479 :rule cong :premises (@p478 @p477) :args (@t628)) % 0.45/1.00 (step @p480 :rule refl :args (@t623)) % 0.45/1.00 (step @p481 :rule cong :premises (@p480 @p479) :args (@t629)) % 0.45/1.00 (step @p482 :rule cong :premises (@p481) :args (@t630)) % 0.45/1.00 (step @p483 :rule nary_cong :premises (@p482 @p475 @p474 @p473 @p472) :args 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% 0.45/1.00 (step @p515 :rule eq_resolve :premises (@p512 @p514)) % 0.45/1.00 (step @p516 :rule ho_cong :premises (@p491 @p515)) % 0.45/1.00 (step @p517 :rule trans :premises (@p516 @p511)) % 0.45/1.00 (step @p518 :rule cong :premises (@p517) :args (@t632)) % 0.45/1.00 (step @p519 :rule refl :args ((tptp.member1967978193chanID @t20 @t27))) % 0.45/1.00 (step @p520 :rule refl :args (@t616)) % 0.45/1.00 (step @p521 :rule cong :premises (@p488 @p520) :args (@t617)) % 0.45/1.00 (step @p522 :rule trans :premises (@p521 @p519)) % 0.45/1.00 (step @p523 :rule ho_cong :premises (@p491 @p520)) % 0.45/1.00 (step @p524 :rule cong :premises (@p523 @p522) :args ((= (_ @t21 @t616) @t617))) % 0.45/1.00 (step @p525 :rule symm :premises (@p524)) % 0.45/1.00 (step @p526 :rule refl :args (@t28)) % 0.45/1.00 (step @p527 :rule eq_resolve :premises (@p526 @p525)) % 0.45/1.00 (step @p528 :rule refl :args (@t27)) % 0.45/1.00 (step @p529 :rule cong :premises (@p528 @p520) :args ((= @t27 @t616))) % 0.45/1.00 (step @p530 :rule symm :premises (@p529)) % 0.45/1.00 (step @p531 :rule eq_resolve :premises (@p528 @p530)) % 0.45/1.00 (step @p532 :rule ho_cong :premises (@p491 @p531)) % 0.45/1.00 (step @p533 :rule trans :premises (@p532 @p527)) % 0.45/1.00 (step @p534 :rule refl :args (@t618)) % 0.45/1.00 (step @p535 :rule refl :args (@t31)) % 0.45/1.00 (step @p536 :rule cong :premises (@p535 @p534) :args ((= @t31 @t618))) % 0.45/1.00 (step @p537 :rule symm :premises (@p536)) % 0.45/1.00 (step @p538 :rule eq_resolve :premises (@p535 @p537)) % 0.45/1.00 (step @p539 :rule cong :premises (@p538) :args (@t633)) % 0.45/1.00 (step @p540 :rule refl :args ((tptp.insert1671894227specID @t23 @t34))) % 0.45/1.00 (step @p541 :rule refl :args (@t627)) % 0.45/1.00 (step @p542 :rule cong :premises (@p465 @p541) :args (@t628)) % 0.45/1.00 (step @p543 :rule trans :premises (@p542 @p540)) % 0.45/1.00 (step @p544 :rule refl :args (@t35)) % 0.45/1.00 (step @p545 :rule ho_cong :premises (@p544 @p541)) % 0.45/1.00 (step 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0.45/1.00 (step @p562 :rule cong :premises (@p561) :args (@t634)) % 0.45/1.00 (step @p563 :rule nary_cong :premises (@p562 @p539 @p533 @p518 @p502) :args (@t635)) % 0.45/1.00 (step @p564 :rule cong :premises (@p563) :args ((forall @t39 @t635))) % 0.45/1.00 (step @p565 :rule aci_norm :args ((= (or @t634 @t636) @t635))) % 0.45/1.00 (step @p566 :rule aci_norm :args ((= (or @t633 @t637) @t636))) % 0.45/1.00 (step @p567 :rule aci_norm :args ((= (or @t28 (or @t632 @t22)) @t637))) % 0.45/1.00 (step @p568 :rule bool-impl-elim :args (@t25 @t22)) % 0.45/1.00 (step @p569 :rule nary_cong :premises (@p526 @p568) :args ((or @t28 @t26))) % 0.45/1.00 (step @p570 :rule trans :premises (@p569 @p567)) % 0.45/1.00 (step @p571 :rule refl :args (@t26)) % 0.45/1.00 (step @p572 :rule bool-double-not-elim :args (@t28)) % 0.45/1.00 (step @p573 :rule nary_cong :premises (@p572 @p571) :args ((or (not @t29) @t26))) % 0.45/1.00 (step @p574 :rule bool-impl-elim :args (@t29 @t26)) % 0.45/1.00 (step @p575 :rule trans :premises (@p574 @p573)) % 0.45/1.00 (step @p576 :rule trans :premises (@p575 @p570)) % 0.45/1.00 (step @p577 :rule refl :args (@t633)) % 0.45/1.00 (step @p578 :rule nary_cong :premises (@p577 @p576) :args ((or @t633 @t30))) % 0.45/1.00 (step @p579 :rule trans :premises (@p578 @p566)) % 0.45/1.00 (step @p580 :rule bool-impl-elim :args (@t31 @t30)) % 0.45/1.00 (step @p581 :rule trans :premises (@p580 @p579)) % 0.45/1.00 (step @p582 :rule refl :args (@t634)) % 0.45/1.00 (step @p583 :rule nary_cong :premises (@p582 @p581) :args ((or @t634 @t32))) % 0.45/1.00 (step @p584 :rule trans :premises (@p583 @p565)) % 0.45/1.00 (step @p585 :rule bool-impl-elim :args (@t38 @t32)) % 0.45/1.00 (step @p586 :rule trans :premises (@p585 @p584)) % 0.45/1.00 (step @p587 :rule cong :premises (@p586) :args (@t40)) % 0.45/1.00 (step @p588 :rule trans :premises (@p587 @p564)) % 0.45/1.00 (step @p589 :rule trans :premises (@p588 @p485)) % 0.45/1.00 (step @p590 :rule eq_resolve :premises (@p6 @p589)) % 0.45/1.00 (step @p591 :rule refl :args (@t639)) % 0.45/1.00 (step @p592 :rule refl :args (@t640)) % 0.45/1.00 (step @p593 :rule refl :args (@t610)) % 0.45/1.00 (step @p594 :rule refl :args (@t641)) % 0.45/1.00 (step @p595 :rule cong :premises (@p410) :args (@t620)) % 0.45/1.00 (step @p596 :rule refl :args (tptp.q)) % 0.45/1.00 (step @p597 :rule cong :premises (@p596 @p595) :args (@t642)) % 0.45/1.00 (step @p598 :rule refl :args (tptp.p)) % 0.45/1.00 (step @p599 :rule cong :premises (@p598 @p597) :args (@t643)) % 0.45/1.00 (step @p600 :rule refl :args (@t601)) % 0.45/1.00 (step @p601 :rule cong :premises (@p600 @p599) :args (@t644)) % 0.45/1.00 (step @p602 :rule trans :premises (@p601 @p379)) % 0.45/1.00 (step @p603 :rule cong :premises (@p602) :args (@t645)) % 0.45/1.00 (step @p604 :rule nary_cong :premises (@p603 @p594 @p593 @p592 @p591) :args (@t646)) % 0.45/1.00 (step @p605 :rule refl :args (@t647)) % 0.45/1.00 (step @p606 :rule cong :premises (@p605 @p604) :args ((=> @t647 @t646))) % 0.45/1.00 (assume-push @p657 @t647) % 0.45/1.00 (step @p608 :rule instantiate :premises (@p590) :args ((@list tptp.pq tptp.p tptp.q tptp.ch))) % 0.45/1.00 (step-pop @p658 :rule scope :premises (@p608)) % 0.45/1.00 (step @p609 :rule process_scope :premises (@p658) :args (@t646)) % 0.45/1.00 (step @p611 :rule eq_resolve :premises (@p609 @p606)) % 0.45/1.00 (step @p612 :rule implies_elim :premises (@p611)) % 0.45/1.00 (step @p613 :rule chain_m_resolution :premises (@p612 @p590) :args (@t650 (@list false) (@list @t647))) % 0.45/1.00 (step @p614 :rule refl :args (@t651)) % 0.45/1.00 (step @p615 :rule refl :args (@t7)) % 0.45/1.00 (step @p616 :rule cong :premises (@p615 @p614) :args ((= @t7 @t651))) % 0.45/1.00 (step @p617 :rule symm :premises (@p616)) % 0.45/1.00 (step @p618 :rule eq_resolve :premises (@p615 @p617)) % 0.45/1.00 (step @p619 :rule cong :premises (@p618) :args (@t8)) % 0.45/1.00 (step @p620 :rule refl :args ((tptp.member1967978193chanID @t6 @t9))) % 0.45/1.00 (step @p621 :rule refl :args (@t638)) % 0.45/1.00 (step @p622 :rule refl :args (@t6)) % 0.45/1.00 (step @p623 :rule cong :premises (@p622 @p621) :args (@t652)) % 0.45/1.00 (step @p624 :rule trans :premises (@p623 @p620)) % 0.45/1.00 (step @p625 :rule refl :args (@t10)) % 0.45/1.00 (step @p626 :rule ho_cong :premises (@p625 @p621)) % 0.45/1.00 (step @p627 :rule cong :premises (@p626 @p624) :args ((= (_ @t10 @t638) @t652))) % 0.45/1.00 (step @p628 :rule symm :premises (@p627)) % 0.45/1.00 (step @p629 :rule refl :args (@t11)) % 0.45/1.00 (step @p630 :rule eq_resolve :premises (@p629 @p628)) % 0.45/1.00 (step @p631 :rule refl :args (@t9)) % 0.45/1.00 (step @p632 :rule cong :premises (@p631 @p621) :args ((= @t9 @t638))) % 0.45/1.00 (step @p633 :rule symm :premises (@p632)) % 0.45/1.00 (step @p634 :rule eq_resolve :premises (@p631 @p633)) % 0.45/1.00 (step @p635 :rule ho_cong :premises (@p625 @p634)) % 0.45/1.00 (step @p636 :rule trans :premises (@p635 @p630)) % 0.45/1.00 (step @p637 :rule cong :premises (@p636) :args (@t653)) % 0.45/1.00 (step @p638 :rule nary_cong :premises (@p637 @p619) :args (@t654)) % 0.45/1.00 (step @p639 :rule cong :premises (@p638) :args ((forall @t12 @t654))) % 0.45/1.00 (step @p640 :rule bool-impl-elim :args (@t11 @t8)) % 0.45/1.00 (step @p641 :rule cong :premises (@p640) :args (@t13)) % 0.45/1.00 (step @p642 :rule trans :premises (@p641 @p639)) % 0.45/1.00 (step @p643 :rule eq_resolve :premises (@p4 @p642)) % 0.45/1.00 (step @p644 :rule instantiate :premises (@p643) :args ((@list tptp.ch))) % 0.45/1.00 (step @p645 :rule refl :args (@t655)) % 0.45/1.00 (step @p646 :rule refl :args (@t2)) % 0.45/1.00 (step @p647 :rule cong :premises (@p646 @p645) :args ((= @t2 @t655))) % 0.45/1.00 (step @p648 :rule symm :premises (@p647)) % 0.45/1.00 (step @p649 :rule eq_resolve :premises (@p646 @p648)) % 0.45/1.00 (step @p650 :rule eq_resolve :premises (@p2 @p649)) % 0.45/1.00 (step @p651 :rule cnf_or_pos :args (@t658)) % 0.45/1.00 (step @p652 :rule reordering :premises (@p651) :args ((or @t656 @t657 (not @t658)))) % 0.45/1.00 (step @p653 :rule chain_m_resolution :premises (@p652 @p650 @p644) :args (@t657 (@list false false) (@list @t655 @t658))) % 0.45/1.00 (step @p654 :rule cnf_or_pos :args (@t650)) % 0.45/1.00 (step @p655 :rule reordering :premises (@p654) :args ((or @t610 @t641 @t640 @t649 @t639 (not @t650)))) % 0.45/1.00 (step @p656 false :rule chain_m_resolution :premises (@p655 @p653 @p613 @p453 @p436 @p378 @p359) :args (false (@list true false true false false false) (@list @t639 @t650 @t610 @t648 @t600 @t598))) % 0.45/1.00 ) % 0.45/1.00 % SZS output end Proof % 0.45/1.01 % cvc5 exiting %------------------------------------------------------------------------------