0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.13/0.34 % Computer : n031.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1920 0.13/0.34 % WCLimit : 240 0.13/0.34 % DateTime : Fri Sep 5 20:20:07 EDT 2025 0.13/0.34 % CPUTime : 0.19/0.54 %----Proving TH0 121.96/122.19 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s... 121.96/122.19 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 24s... 121.96/122.19 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 24s... 121.96/122.19 --- Run --ho-elim --full-saturate-quant at 14s... 121.96/122.19 % SZS status Theorem 121.96/122.19 % SZS output start Proof 121.96/122.19 ( 121.96/122.19 (declare-type tptp.du ()) 121.96/122.19 (declare-type tptp.mono_2Etyop_2Eextreal_2Eextreal ()) 121.96/122.19 (declare-type tptp.u ()) 121.96/122.19 (declare-type tptp.d ()) 121.96/122.19 (declare-const tptp.combin_s_2E0 tptp.u) 121.96/122.19 (declare-const tptp.mono_2Ec_2Ebool_2E_5C_2F (-> Bool Bool Bool)) 121.96/122.19 (declare-const tptp.combin_i_2E0 tptp.u) 121.96/122.19 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 (-> tptp.du Bool tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal)) 121.96/122.19 (declare-const tptp.mono_2Ec_2Ebool_2E_2F_5C (-> Bool Bool Bool)) 121.96/122.19 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 (-> (-> Bool tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal) tptp.u)) 121.96/122.19 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 (-> tptp.du tptp.mono_2Etyop_2Eextreal_2Eextreal Bool)) 121.96/122.19 (declare-const tptp.mono_2Ec_2Emin_2E_3D_3D_3E (-> Bool Bool Bool)) 121.96/122.19 (declare-const tptp.c_2Ebool_2ECOND_2E0 tptp.u) 121.96/122.19 (declare-const tptp.c_2Ebool_2ECOND_2E3 (-> tptp.du tptp.du tptp.du tptp.u)) 121.96/122.19 (declare-const tptp.mono_2Ec_2Ebool_2ET Bool) 121.96/122.19 (declare-const tptp.tyop_2Emin_2Ebool tptp.d) 121.96/122.19 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> tptp.du Bool Bool)) 121.96/122.19 (declare-const tptp.mono_2Ec_2Eextreal_2Eextreal__max (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal)) 121.96/122.19 (declare-const tptp.j_mono_2Etyop_2Emin_2Ebool (-> tptp.du Bool)) 121.96/122.19 (declare-const tptp.mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal (-> Bool tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal)) 121.96/122.19 (declare-const tptp.mono_2Ec_2Ebool_2EF Bool) 121.96/122.19 (declare-const tptp.tyop_2Eextreal_2Eextreal tptp.d) 121.96/122.19 (declare-const tptp.c_2Ebool_2E_3F_2E0 tptp.u) 121.96/122.19 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 (-> (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal) tptp.u)) 121.96/122.19 (declare-const tptp.mono_2Ec_2Eextreal_2Eextreal__le (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal Bool)) 121.96/122.19 (declare-const tptp.tyop_2Emin_2Efun (-> tptp.d tptp.d tptp.d)) 121.96/122.19 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (-> tptp.du Bool Bool Bool)) 121.96/122.19 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 (-> (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal) tptp.u)) 121.96/122.19 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 (-> tptp.du tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal)) 121.96/122.19 (declare-const tptp.c_2Ebool_2E_3F_2E1 (-> tptp.du tptp.u)) 121.96/122.19 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 (-> (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal Bool) tptp.u)) 121.96/122.19 (declare-const tptp.c_2Emin_2E_3D_2E2 (-> tptp.du tptp.du tptp.u)) 121.96/122.19 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 (-> (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool) tptp.u)) 121.96/122.19 (declare-const tptp.c_2Emin_2E_3D_2E0 tptp.u) 121.96/122.19 (declare-const tptp.c_2Ebool_2E_21_2E1 (-> tptp.du tptp.u)) 121.96/122.19 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (-> (-> Bool Bool Bool) tptp.u)) 121.96/122.19 (declare-const tptp.c_2Ebool_2E_21_2E0 tptp.u) 121.96/122.19 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> (-> Bool Bool) tptp.u)) 121.96/122.19 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 (-> tptp.du tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal Bool)) 121.96/122.19 (declare-const tptp.s (-> tptp.d tptp.u tptp.du)) 121.96/122.19 (declare-const tptp.mono_2Ec_2Ebool_2E_7E (-> Bool Bool)) 121.96/122.19 (declare-const tptp.i_mono_2Etyop_2Eextreal_2Eextreal (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.u)) 121.96/122.19 (declare-const tptp.combin_k_2E0 tptp.u) 121.96/122.19 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 (-> tptp.du tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal)) 121.96/122.19 (declare-const tptp.j_mono_2Etyop_2Eextreal_2Eextreal (-> tptp.du tptp.mono_2Etyop_2Eextreal_2Eextreal)) 121.96/122.19 (declare-const tptp.app_2E2 (-> tptp.du tptp.du tptp.u)) 121.96/122.19 (declare-const tptp.i_mono_2Etyop_2Emin_2Ebool (-> Bool tptp.u)) 121.96/122.19 (define @t1 () (@var "V1" tptp.mono_2Etyop_2Eextreal_2Eextreal)) 121.96/122.19 (define @t2 () (_ tptp.i_mono_2Etyop_2Eextreal_2Eextreal @t1)) 121.96/122.19 (define @t3 () (_ tptp.s tptp.tyop_2Eextreal_2Eextreal)) 121.96/122.19 (define @t4 () (_ @t3 @t2)) 121.96/122.19 (define @t5 () (@var "V0" (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal))) 121.96/122.19 (define @t6 () (_ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal)) 121.96/122.19 (define @t7 () (_ @t6 tptp.tyop_2Eextreal_2Eextreal)) 121.96/122.19 (define @t8 () (_ tptp.s @t7)) 121.96/122.19 (define @t9 () (_ @t8 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 @t5))) 121.96/122.19 (define @t10 () (_ @t5 @t1)) 121.96/122.19 (define @t11 () (@list @t5 @t1)) 121.96/122.19 (define @t12 () (@var "V0t" Bool)) 121.96/122.19 (define @t13 () (=> tptp.mono_2Ec_2Ebool_2EF @t12)) 121.96/122.19 (define @t14 () (@list @t12)) 121.96/122.19 (define @t15 () (forall @t14 @t13)) 121.96/122.19 (define @t16 () (@var "V0x" tptp.mono_2Etyop_2Eextreal_2Eextreal)) 121.96/122.19 (define @t17 () (@var "V1y" tptp.mono_2Etyop_2Eextreal_2Eextreal)) 121.96/122.19 (define @t18 () (_ tptp.mono_2Ec_2Eextreal_2Eextreal__le @t16)) 121.96/122.19 (define @t19 () (_ @t18 @t17)) 121.96/122.19 (define @t20 () (_ (_ (_ tptp.mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @t19) @t17) @t16)) 121.96/122.19 (define @t21 () (_ (_ tptp.mono_2Ec_2Eextreal_2Eextreal__max @t16) @t17)) 121.96/122.19 (define @t22 () (= @t21 @t20)) 121.96/122.19 (define @t23 () (@list @t16 @t17)) 121.96/122.19 (define @t24 () (forall @t23 @t22)) 121.96/122.19 (define @t25 () (@var "V2z" tptp.mono_2Etyop_2Eextreal_2Eextreal)) 121.96/122.19 (define @t26 () (_ @t18 @t25)) 121.96/122.19 (define @t27 () (_ tptp.mono_2Ec_2Eextreal_2Eextreal__le @t17)) 121.96/122.19 (define @t28 () (_ @t27 @t25)) 121.96/122.19 (define @t29 () (and @t28 @t19)) 121.96/122.19 (define @t30 () (@list @t16 @t17 @t25)) 121.96/122.19 (define @t31 () (forall @t30 (=> @t29 @t26))) 121.96/122.19 (define @t32 () (@var "X0_2E0" tptp.u)) 121.96/122.19 (define @t33 () (@var "A_27a" tptp.d)) 121.96/122.19 (define @t34 () (_ tptp.tyop_2Emin_2Efun @t33)) 121.96/122.19 (define @t35 () (_ @t34 tptp.tyop_2Emin_2Ebool)) 121.96/122.19 (define @t36 () (_ tptp.s @t35)) 121.96/122.19 (define @t37 () (_ @t36 @t32)) 121.96/122.19 (define @t38 () (_ tptp.s (_ (_ tptp.tyop_2Emin_2Efun @t35) tptp.tyop_2Emin_2Ebool))) 121.96/122.19 (define @t39 () (_ tptp.s tptp.tyop_2Emin_2Ebool)) 121.96/122.19 (define @t40 () (@list @t33 @t32)) 121.96/122.19 (define @t41 () (@var "V0" (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal))) 121.96/122.19 (define @t42 () (_ @t6 @t7)) 121.96/122.19 (define @t43 () (_ tptp.s @t42)) 121.96/122.19 (define @t44 () (_ @t43 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 @t41))) 121.96/122.19 (define @t45 () (@var "V0" (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal Bool))) 121.96/122.19 (define @t46 () (_ @t6 tptp.tyop_2Emin_2Ebool)) 121.96/122.19 (define @t47 () (_ tptp.s (_ @t6 @t46))) 121.96/122.19 (define @t48 () (_ @t47 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @t45))) 121.96/122.19 (define @t49 () (_ tptp.s @t46)) 121.96/122.19 (define @t50 () (_ @t45 @t1)) 121.96/122.19 (define @t51 () (@list @t45 @t1)) 121.96/122.19 (define @t52 () (@var "V0B" Bool)) 121.96/122.19 (define @t53 () (=> (not @t52) tptp.mono_2Ec_2Ebool_2EF)) 121.96/122.19 (define @t54 () (@var "V1A" Bool)) 121.96/122.19 (define @t55 () (@list @t52 @t54)) 121.96/122.19 (define @t56 () (@var "X1_2E0" tptp.u)) 121.96/122.19 (define @t57 () (_ tptp.s @t33)) 121.96/122.19 (define @t58 () (_ @t57 @t56)) 121.96/122.19 (define @t59 () (_ @t57 @t32)) 121.96/122.19 (define @t60 () (@var "V0z" tptp.mono_2Etyop_2Eextreal_2Eextreal)) 121.96/122.19 (define @t61 () (@var "V2y" tptp.mono_2Etyop_2Eextreal_2Eextreal)) 121.96/122.19 (define @t62 () (_ (_ tptp.mono_2Ec_2Eextreal_2Eextreal__le @t61) @t60)) 121.96/122.19 (define @t63 () (@var "V1x" tptp.mono_2Etyop_2Eextreal_2Eextreal)) 121.96/122.19 (define @t64 () (_ (_ tptp.mono_2Ec_2Eextreal_2Eextreal__le @t63) @t60)) 121.96/122.19 (define @t65 () (and @t64 @t62)) 121.96/122.19 (define @t66 () (_ (_ tptp.mono_2Ec_2Eextreal_2Eextreal__max @t63) @t61)) 121.96/122.19 (define @t67 () (_ (_ tptp.mono_2Ec_2Eextreal_2Eextreal__le @t66) @t60)) 121.96/122.19 (define @t68 () (= @t67 @t65)) 121.96/122.19 (define @t69 () (@list @t60 @t63 @t61)) 121.96/122.19 (define @t70 () (forall @t69 @t68)) 121.96/122.19 (define @t71 () (not @t70)) 121.96/122.19 (define @t72 () (@var "V0r" Bool)) 121.96/122.19 (define @t73 () (@var "V1q" Bool)) 121.96/122.19 (define @t74 () (not @t73)) 121.96/122.19 (define @t75 () (@var "V2p" Bool)) 121.96/122.19 (define @t76 () (not @t75)) 121.96/122.19 (define @t77 () (not @t72)) 121.96/122.19 (define @t78 () (@list @t72 @t73 @t75)) 121.96/122.19 (define @t79 () (not @t12)) 121.96/122.19 (define @t80 () (=> @t12 tptp.mono_2Ec_2Ebool_2EF)) 121.96/122.19 (define @t81 () (@var "V0" (-> Bool Bool Bool))) 121.96/122.19 (define @t82 () (_ tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool)) 121.96/122.19 (define @t83 () (_ @t82 tptp.tyop_2Emin_2Ebool)) 121.96/122.19 (define @t84 () (_ tptp.s (_ @t82 @t83))) 121.96/122.19 (define @t85 () (_ @t84 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t81))) 121.96/122.19 (define @t86 () (@var "V0_2E0" tptp.u)) 121.96/122.19 (define @t87 () (_ tptp.s @t83)) 121.96/122.19 (define @t88 () (_ @t87 @t86)) 121.96/122.19 (define @t89 () (@list @t86)) 121.96/122.19 (define @t90 () (_ @t47 @t86)) 121.96/122.19 (define @t91 () (@var "V0" Bool)) 121.96/122.19 (define @t92 () (@list @t91)) 121.96/122.19 (define @t93 () (@var "V0x_2E0" tptp.u)) 121.96/122.19 (define @t94 () (_ @t57 @t93)) 121.96/122.19 (define @t95 () (@var "V1y_2E0" tptp.u)) 121.96/122.19 (define @t96 () (@var "A_27b" tptp.d)) 121.96/122.19 (define @t97 () (_ tptp.s @t96)) 121.96/122.19 (define @t98 () (_ tptp.tyop_2Emin_2Efun @t96)) 121.96/122.19 (define @t99 () (_ @t98 @t33)) 121.96/122.19 (define @t100 () (_ @t27 @t16)) 121.96/122.19 (define @t101 () (or @t100 @t19)) 121.96/122.19 (define @t102 () (forall @t23 @t101)) 121.96/122.19 (define @t103 () (_ @t3 @t86)) 121.96/122.19 (define @t104 () (@var "V0" (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool))) 121.96/122.19 (define @t105 () (_ @t49 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @t104))) 121.96/122.19 (define @t106 () (_ @t104 @t1)) 121.96/122.19 (define @t107 () (@list @t104 @t1)) 121.96/122.19 (define @t108 () (_ @t43 @t86)) 121.96/122.19 (define @t109 () (@var "V1t2" Bool)) 121.96/122.19 (define @t110 () (@var "V0t1" Bool)) 121.96/122.19 (define @t111 () (@var "V0A" Bool)) 121.96/122.19 (define @t112 () (not @t111)) 121.96/122.19 (define @t113 () (=> @t112 tptp.mono_2Ec_2Ebool_2EF)) 121.96/122.19 (define @t114 () (@list @t111)) 121.96/122.19 (define @t115 () (@var "V1" Bool)) 121.96/122.19 (define @t116 () (@var "V0" (-> Bool Bool))) 121.96/122.19 (define @t117 () (_ @t116 @t115)) 121.96/122.19 (define @t118 () (@list @t116 @t115)) 121.96/122.19 (define @t119 () (not tptp.mono_2Ec_2Ebool_2EF)) 121.96/122.19 (define @t120 () (not @t79)) 121.96/122.19 (define @t121 () (forall @t14 (= @t12 @t120))) 121.96/122.19 (define @t122 () (_ @t39 @t86)) 121.96/122.19 (define @t123 () (@var "V1B" Bool)) 121.96/122.19 (define @t124 () (or @t123 @t111)) 121.96/122.19 (define @t125 () (@list @t111 @t123)) 121.96/122.19 (define @t126 () (@var "V0" tptp.mono_2Etyop_2Eextreal_2Eextreal)) 121.96/122.19 (define @t127 () (_ tptp.i_mono_2Etyop_2Eextreal_2Eextreal @t126)) 121.96/122.19 (define @t128 () (_ @t3 @t127)) 121.96/122.19 (define @t129 () (_ tptp.j_mono_2Etyop_2Eextreal_2Eextreal @t128)) 121.96/122.19 (define @t130 () (@list @t126)) 121.96/122.19 (define @t131 () (forall @t130 (= @t129 @t126))) 121.96/122.19 (define @t132 () (_ @t87 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t116))) 121.96/122.19 (define @t133 () (_ @t81 @t115)) 121.96/122.19 (define @t134 () (@list @t81 @t115)) 121.96/122.19 (define @t135 () (@var "V0f_2E0" tptp.u)) 121.96/122.19 (define @t136 () (_ @t36 @t135)) 121.96/122.19 (define @t137 () (@var "V1x_2E0" tptp.u)) 121.96/122.19 (define @t138 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t39 (_ (_ tptp.app_2E2 @t136) (_ @t57 @t137))))) 121.96/122.19 (define @t139 () (@list @t137)) 121.96/122.19 (define @t140 () (@list @t33 @t135)) 121.96/122.19 (define @t141 () (@var "V2" tptp.mono_2Etyop_2Eextreal_2Eextreal)) 121.96/122.19 (define @t142 () (_ tptp.i_mono_2Etyop_2Eextreal_2Eextreal @t141)) 121.96/122.19 (define @t143 () (_ @t3 @t142)) 121.96/122.19 (define @t144 () (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t91)) 121.96/122.19 (define @t145 () (_ @t39 @t144)) 121.96/122.19 (define @t146 () (_ (_ (_ tptp.c_2Ebool_2ECOND_2E3 @t145) @t4) @t143)) 121.96/122.19 (define @t147 () (_ @t3 @t146)) 121.96/122.19 (define @t148 () (_ (_ (_ tptp.mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @t91) @t1) @t141)) 121.96/122.19 (define @t149 () (_ tptp.i_mono_2Etyop_2Eextreal_2Eextreal @t148)) 121.96/122.19 (define @t150 () (_ @t3 @t149)) 121.96/122.19 (define @t151 () (= @t150 @t147)) 121.96/122.19 (define @t152 () (@list @t91 @t1 @t141)) 121.96/122.19 (define @t153 () (forall @t152 @t151)) 121.96/122.19 (define @t154 () (@var "X2_2E0" tptp.u)) 121.96/122.19 (define @t155 () (_ @t57 @t154)) 121.96/122.19 (define @t156 () (@var "X0" Bool)) 121.96/122.19 (define @t157 () (_ @t39 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t156))) 121.96/122.19 (define @t158 () (_ @t34 @t33)) 121.96/122.19 (define @t159 () (_ @t34 @t158)) 121.96/122.19 (define @t160 () (_ tptp.s @t158)) 121.96/122.19 (define @t161 () (_ @t57 @t95)) 121.96/122.19 (define @t162 () (@list @t91 @t115)) 121.96/122.19 (define @t163 () (@var "V2C" Bool)) 121.96/122.19 (define @t164 () (_ @t49 @t86)) 121.96/122.19 (define @t165 () (_ @t8 @t86)) 121.96/122.19 (define @t166 () (_ tptp.s (_ @t82 @t42))) 121.96/122.19 (define @t167 () (_ @t41 @t1)) 121.96/122.19 (define @t168 () (@list @t41 @t1)) 121.96/122.19 (define @t169 () (_ @t39 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t115))) 121.96/122.19 (define @t170 () (_ @t166 @t86)) 121.96/122.19 (define @t171 () (not @t123)) 121.96/122.19 (define @t172 () (@var "V1g_2E0" tptp.u)) 121.96/122.19 (define @t173 () (_ @t34 @t96)) 121.96/122.19 (define @t174 () (_ tptp.s @t173)) 121.96/122.19 (define @t175 () (_ @t174 @t172)) 121.96/122.19 (define @t176 () (_ @t174 @t135)) 121.96/122.19 (define @t177 () (@var "V2x_2E0" tptp.u)) 121.96/122.19 (define @t178 () (_ @t57 @t177)) 121.96/122.19 (define @t179 () (_ @t97 (_ (_ tptp.app_2E2 @t175) @t178))) 121.96/122.19 (define @t180 () (@var "V0" (-> Bool tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal))) 121.96/122.19 (define @t181 () (_ @t180 @t115)) 121.96/122.19 (define @t182 () (@list @t180 @t115)) 121.96/122.19 (define @t183 () (_ @t84 @t86)) 121.96/122.19 (define @t184 () (@var "A_27c" tptp.d)) 121.96/122.19 (define @t185 () (_ @t98 @t184)) 121.96/122.19 (define @t186 () (_ @t34 @t185)) 121.96/122.19 (define @t187 () (_ (_ tptp.s @t186) @t135)) 121.96/122.19 (define @t188 () (_ tptp.s @t184)) 121.96/122.19 (define @t189 () (_ @t34 @t184)) 121.96/122.19 (define @t190 () (_ (_ tptp.tyop_2Emin_2Efun @t173) @t189)) 121.96/122.19 (define @t191 () (@var "V1_2E0" tptp.u)) 121.96/122.19 (define @t192 () (_ @t57 @t191)) 121.96/122.19 (define @t193 () (_ @t57 @t86)) 121.96/122.19 (define @t194 () (_ @t166 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 @t180))) 121.96/122.19 (define @t195 () (@var "V1t2_2E0" tptp.u)) 121.96/122.19 (define @t196 () (_ @t57 @t195)) 121.96/122.19 (define @t197 () (@var "V0t1_2E0" tptp.u)) 121.96/122.19 (define @t198 () (_ @t57 @t197)) 121.96/122.19 (define @t199 () (_ tptp.i_mono_2Etyop_2Emin_2Ebool tptp.mono_2Ec_2Ebool_2EF)) 121.96/122.19 (define @t200 () (_ @t39 @t199)) 121.96/122.19 (define @t201 () (_ tptp.c_2Ebool_2ECOND_2E3 @t200)) 121.96/122.19 (define @t202 () (_ @t57 (_ (_ @t201 @t198) @t196))) 121.96/122.19 (define @t203 () (_ tptp.i_mono_2Etyop_2Emin_2Ebool tptp.mono_2Ec_2Ebool_2ET)) 121.96/122.19 (define @t204 () (_ @t39 @t203)) 121.96/122.19 (define @t205 () (_ tptp.c_2Ebool_2ECOND_2E3 @t204)) 121.96/122.19 (define @t206 () (_ @t57 (_ (_ @t205 @t198) @t196))) 121.96/122.19 (define @t207 () (and (= @t206 @t198) (= @t202 @t196))) 121.96/122.19 (define @t208 () (@list @t33 @t197 @t195)) 121.96/122.19 (define @t209 () (forall @t208 @t207)) 121.96/122.19 (define @t210 () (@var "V1p" Bool)) 121.96/122.19 (define @t211 () (@var "V0q" Bool)) 121.96/122.19 (define @t212 () (not @t211)) 121.96/122.19 (define @t213 () (@const 0 (@ho-elim-sort (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal)))) 121.96/122.19 (define @t214 () (@const 1 (-> (@ho-elim-sort (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal)) tptp.mono_2Etyop_2Eextreal_2Eextreal (@ho-elim-sort (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal))))) 121.96/122.19 (define @t215 () (@const 2 (-> (@ho-elim-sort (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal)) tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal))) 121.96/122.19 (define @t216 () (@const 3 (@ho-elim-sort (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal Bool)))) 121.96/122.19 (define @t217 () (@const 4 (-> (@ho-elim-sort (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal Bool)) tptp.mono_2Etyop_2Eextreal_2Eextreal (@ho-elim-sort (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool))))) 121.96/122.19 (define @t218 () (@const 5 (-> (@ho-elim-sort (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool)) tptp.mono_2Etyop_2Eextreal_2Eextreal Bool))) 121.96/122.19 (define @t219 () (_ @t218 (_ @t217 @t216 (_ @t215 (_ @t214 @t213 @t63) @t61)) @t60)) 121.96/122.19 (define @t220 () (and (_ @t218 (_ @t217 @t216 @t63) @t60) (_ @t218 (_ @t217 @t216 @t61) @t60))) 121.96/122.19 (define @t221 () (forall @t69 (= @t220 @t219))) 121.96/122.19 (define @t222 () (@quantifiers_skolemize @t221 0)) 121.96/122.19 (define @t223 () (@quantifiers_skolemize @t221 1)) 121.96/122.19 (define @t224 () (_ @t217 @t216 @t223)) 121.96/122.19 (define @t225 () (_ @t218 @t224 @t222)) 121.96/122.19 (define @t226 () (@purify @t225)) 121.96/122.19 (define @t227 () (@quantifiers_skolemize @t221 2)) 121.96/122.19 (define @t228 () (_ @t217 @t216 @t227)) 121.96/122.19 (define @t229 () (_ @t218 @t228 @t222)) 121.96/122.19 (define @t230 () (and @t225 @t229)) 121.96/122.19 (define @t231 () (forall @t69 (= @t219 @t220))) 121.96/122.19 (define @t232 () (not @t231)) 121.96/122.19 (define @t233 () (tptp.mono_2Ec_2Eextreal_2Eextreal__le @t61 @t60)) 121.96/122.19 (define @t234 () (tptp.mono_2Ec_2Eextreal_2Eextreal__le @t63 @t60)) 121.96/122.19 (define @t235 () (tptp.mono_2Ec_2Eextreal_2Eextreal__max @t63 @t61)) 121.96/122.19 (define @t236 () (tptp.mono_2Ec_2Eextreal_2Eextreal__le @t235 @t60)) 121.96/122.19 (define @t237 () (_ @t215 (_ @t214 @t213 @t223) @t227)) 121.96/122.19 (define @t238 () (_ @t217 @t216 @t237)) 121.96/122.19 (define @t239 () (_ @t218 @t238 @t222)) 121.96/122.19 (define @t240 () (= @t230 @t239)) 121.96/122.19 (define @t241 () (@purify @t239)) 121.96/122.19 (define @t242 () (_ @t217 @t216 @t16)) 121.96/122.19 (define @t243 () (_ @t218 @t242 @t17)) 121.96/122.19 (define @t244 () (_ @t217 @t216 @t17)) 121.96/122.19 (define @t245 () (tptp.mono_2Ec_2Eextreal_2Eextreal__le @t16 @t25)) 121.96/122.19 (define @t246 () (tptp.mono_2Ec_2Eextreal_2Eextreal__le @t16 @t17)) 121.96/122.19 (define @t247 () (tptp.mono_2Ec_2Eextreal_2Eextreal__le @t17 @t25)) 121.96/122.19 (define @t248 () (not @t19)) 121.96/122.19 (define @t249 () (not @t28)) 121.96/122.19 (define @t250 () (or @t249 @t248 @t26)) 121.96/122.19 (define @t251 () (_ @t218 @t238 @t223)) 121.96/122.19 (define @t252 () (not @t251)) 121.96/122.19 (define @t253 () (not @t225)) 121.96/122.19 (define @t254 () (or @t253 @t252 @t239)) 121.96/122.19 (define @t255 () (forall @t23 (or (_ @t218 @t244 @t16) @t243))) 121.96/122.19 (define @t256 () (tptp.mono_2Ec_2Eextreal_2Eextreal__le @t17 @t16)) 121.96/122.19 (define @t257 () (_ @t218 (_ @t217 @t216 @t222) @t237)) 121.96/122.19 (define @t258 () (or @t239 @t257)) 121.96/122.19 (define @t259 () (_ @t218 @t238 @t227)) 121.96/122.19 (define @t260 () (not @t259)) 121.96/122.19 (define @t261 () (not @t229)) 121.96/122.19 (define @t262 () (or @t261 @t260 @t239)) 121.96/122.19 (define @t263 () (_ @t218 @t228 @t237)) 121.96/122.19 (define @t264 () (not @t257)) 121.96/122.19 (define @t265 () (or @t264 @t261 @t263)) 121.96/122.19 (define @t266 () (@purify true)) 121.96/122.19 (define @t267 () (_ @t215 (_ @t214 @t213 @t16) @t17)) 121.96/122.19 (define @t268 () (@const 6 (@ho-elim-sort (-> Bool tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal)))) 121.96/122.19 (define @t269 () (@const 7 (-> (@ho-elim-sort (-> Bool tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal)) Bool (@ho-elim-sort (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal))))) 121.96/122.19 (define @t270 () (_ @t215 (_ @t214 (_ @t269 @t268 @t243) @t17) @t16)) 121.96/122.19 (define @t271 () (forall @t23 (= @t267 @t270))) 121.96/122.19 (define @t272 () (tptp.mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @t246 @t17 @t16)) 121.96/122.19 (define @t273 () (tptp.mono_2Ec_2Eextreal_2Eextreal__max @t16 @t17)) 121.96/122.19 (define @t274 () (_ @t218 @t224 @t227)) 121.96/122.19 (define @t275 () (@purify @t274)) 121.96/122.19 (define @t276 () (_ @t269 @t268 @t274)) 121.96/122.19 (define @t277 () (_ @t214 @t276 @t227)) 121.96/122.19 (define @t278 () (_ @t215 @t277 @t223)) 121.96/122.19 (define @t279 () (= @t237 @t278)) 121.96/122.19 (define @t280 () (forall @t23 (= @t270 @t267))) 121.96/122.19 (define @t281 () (= @t278 @t237)) 121.96/122.19 (define @t282 () (@list false)) 121.96/122.19 (define @t283 () (@const 8 (@ho-elim-sort (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.u)))) 121.96/122.19 (define @t284 () (@const 9 (-> (@ho-elim-sort (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.u)) tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.u))) 121.96/122.19 (define @t285 () (@const 10 (@ho-elim-sort (-> tptp.d tptp.u tptp.du)))) 121.96/122.19 (define @t286 () (@const 11 (-> (@ho-elim-sort (-> tptp.d tptp.u tptp.du)) tptp.d (@ho-elim-sort (-> tptp.u tptp.du))))) 121.96/122.19 (define @t287 () (_ @t286 @t285 tptp.tyop_2Eextreal_2Eextreal)) 121.96/122.19 (define @t288 () (@const 12 (-> (@ho-elim-sort (-> tptp.u tptp.du)) tptp.u tptp.du))) 121.96/122.19 (define @t289 () (@const 13 (@ho-elim-sort (-> tptp.du tptp.mono_2Etyop_2Eextreal_2Eextreal)))) 121.96/122.19 (define @t290 () (@const 14 (-> (@ho-elim-sort (-> tptp.du tptp.mono_2Etyop_2Eextreal_2Eextreal)) tptp.du tptp.mono_2Etyop_2Eextreal_2Eextreal))) 121.96/122.19 (define @t291 () (tptp.i_mono_2Etyop_2Eextreal_2Eextreal @t126)) 121.96/122.19 (define @t292 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t291)) 121.96/122.19 (define @t293 () (tptp.j_mono_2Etyop_2Eextreal_2Eextreal @t292)) 121.96/122.19 (define @t294 () (= @t126 @t129)) 121.96/122.19 (define @t295 () (_ @t288 @t287 (_ @t284 @t283 (_ @t215 (_ @t214 (_ @t269 @t268 @t91) @t1) @t141)))) 121.96/122.19 (define @t296 () (@const 15 (@ho-elim-sort (-> Bool tptp.u)))) 121.96/122.19 (define @t297 () (@const 16 (-> (@ho-elim-sort (-> Bool tptp.u)) Bool tptp.u))) 121.96/122.19 (define @t298 () (_ @t286 @t285 tptp.tyop_2Emin_2Ebool)) 121.96/122.19 (define @t299 () (@const 17 (@ho-elim-sort (-> tptp.du tptp.du tptp.du tptp.u)))) 121.96/122.19 (define @t300 () (@const 18 (-> (@ho-elim-sort (-> tptp.du tptp.du tptp.du tptp.u)) tptp.du (@ho-elim-sort (-> tptp.du tptp.du tptp.u))))) 121.96/122.19 (define @t301 () (@const 19 (-> (@ho-elim-sort (-> tptp.du tptp.du tptp.u)) tptp.du (@ho-elim-sort (-> tptp.du tptp.u))))) 121.96/122.19 (define @t302 () (@const 20 (-> (@ho-elim-sort (-> tptp.du tptp.u)) tptp.du tptp.u))) 121.96/122.19 (define @t303 () (_ @t288 @t287 (_ @t302 (_ @t301 (_ @t300 @t299 (_ @t288 @t298 (_ @t297 @t296 @t91))) (_ @t288 @t287 (_ @t284 @t283 @t1))) (_ @t288 @t287 (_ @t284 @t283 @t141))))) 121.96/122.19 (define @t304 () (forall @t152 (= @t295 @t303))) 121.96/122.19 (define @t305 () (tptp.i_mono_2Etyop_2Eextreal_2Eextreal @t141)) 121.96/122.19 (define @t306 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t305)) 121.96/122.19 (define @t307 () (tptp.i_mono_2Etyop_2Eextreal_2Eextreal @t1)) 121.96/122.19 (define @t308 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t307)) 121.96/122.19 (define @t309 () (tptp.i_mono_2Etyop_2Emin_2Ebool @t91)) 121.96/122.19 (define @t310 () (tptp.s tptp.tyop_2Emin_2Ebool @t309)) 121.96/122.19 (define @t311 () (tptp.c_2Ebool_2ECOND_2E3 @t310 @t308 @t306)) 121.96/122.19 (define @t312 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t311)) 121.96/122.19 (define @t313 () (tptp.mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @t91 @t1 @t141)) 121.96/122.19 (define @t314 () (tptp.i_mono_2Etyop_2Eextreal_2Eextreal @t313)) 121.96/122.19 (define @t315 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t314)) 121.96/122.19 (define @t316 () (_ @t284 @t283 @t223)) 121.96/122.19 (define @t317 () (_ @t288 @t287 @t316)) 121.96/122.19 (define @t318 () (_ @t284 @t283 @t227)) 121.96/122.19 (define @t319 () (_ @t288 @t287 @t318)) 121.96/122.19 (define @t320 () (_ @t297 @t296 @t275)) 121.96/122.19 (define @t321 () (_ @t288 @t298 @t320)) 121.96/122.19 (define @t322 () (_ @t300 @t299 @t321)) 121.96/122.19 (define @t323 () (_ @t301 @t322 @t319)) 121.96/122.19 (define @t324 () (_ @t302 @t323 @t317)) 121.96/122.19 (define @t325 () (_ @t288 @t287 @t324)) 121.96/122.19 (define @t326 () (_ @t269 @t268 @t275)) 121.96/122.19 (define @t327 () (_ @t214 @t326 @t227)) 121.96/122.19 (define @t328 () (_ @t215 @t327 @t223)) 121.96/122.19 (define @t329 () (_ @t284 @t283 @t328)) 121.96/122.19 (define @t330 () (_ @t288 @t287 @t329)) 121.96/122.19 (define @t331 () (forall @t152 (= @t303 @t295))) 121.96/122.19 (define @t332 () (= @t325 @t330)) 121.96/122.19 (define @t333 () (@list @t275 @t227 @t223)) 121.96/122.19 (define @t334 () (@var "BOUND_VARIABLE_8924" tptp.u)) 121.96/122.19 (define @t335 () (@var "BOUND_VARIABLE_8920" tptp.d)) 121.96/122.19 (define @t336 () (_ @t286 @t285 @t335)) 121.96/122.19 (define @t337 () (_ @t288 @t336 @t334)) 121.96/122.19 (define @t338 () (@var "BOUND_VARIABLE_8922" tptp.u)) 121.96/122.19 (define @t339 () (_ @t297 @t296 false)) 121.96/122.19 (define @t340 () (_ @t288 @t298 @t339)) 121.96/122.19 (define @t341 () (_ @t300 @t299 @t340)) 121.96/122.19 (define @t342 () (@list @t335 @t338 @t334)) 121.96/122.19 (define @t343 () (forall @t342 (= @t337 (_ @t288 @t336 (_ @t302 (_ @t301 @t341 (_ @t288 @t336 @t338)) @t337))))) 121.96/122.19 (define @t344 () (@var "BOUND_VARIABLE_8909" tptp.u)) 121.96/122.19 (define @t345 () (@var "BOUND_VARIABLE_8905" tptp.d)) 121.96/122.19 (define @t346 () (_ @t286 @t285 @t345)) 121.96/122.19 (define @t347 () (@var "BOUND_VARIABLE_8907" tptp.u)) 121.96/122.19 (define @t348 () (_ @t288 @t346 @t347)) 121.96/122.19 (define @t349 () (_ @t297 @t296 true)) 121.96/122.19 (define @t350 () (_ @t288 @t298 @t349)) 121.96/122.19 (define @t351 () (_ @t300 @t299 @t350)) 121.96/122.19 (define @t352 () (@list @t345 @t347 @t344)) 121.96/122.19 (define @t353 () (forall @t352 (= @t348 (_ @t288 @t346 (_ @t302 (_ @t301 @t351 @t348) (_ @t288 @t346 @t344)))))) 121.96/122.19 (define @t354 () (tptp.s @t335 @t334)) 121.96/122.19 (define @t355 () (tptp.s @t335 @t338)) 121.96/122.19 (define @t356 () (tptp.s @t345 @t344)) 121.96/122.19 (define @t357 () (tptp.s @t345 @t347)) 121.96/122.19 (define @t358 () (or @t12 @t12)) 121.96/122.19 (define @t359 () (forall @t14 @t12)) 121.96/122.19 (define @t360 () (or @t119 @t359)) 121.96/122.19 (define @t361 () (tptp.i_mono_2Etyop_2Emin_2Ebool tptp.mono_2Ec_2Ebool_2EF)) 121.96/122.19 (define @t362 () (tptp.s tptp.tyop_2Emin_2Ebool @t361)) 121.96/122.19 (define @t363 () (tptp.c_2Ebool_2ECOND_2E3 @t362 @t355 @t354)) 121.96/122.19 (define @t364 () (tptp.s @t335 @t363)) 121.96/122.19 (define @t365 () (= @t354 @t364)) 121.96/122.19 (define @t366 () (forall @t342 @t365)) 121.96/122.19 (define @t367 () (tptp.i_mono_2Etyop_2Emin_2Ebool tptp.mono_2Ec_2Ebool_2ET)) 121.96/122.19 (define @t368 () (tptp.s tptp.tyop_2Emin_2Ebool @t367)) 121.96/122.19 (define @t369 () (tptp.c_2Ebool_2ECOND_2E3 @t368 @t357 @t356)) 121.96/122.19 (define @t370 () (tptp.s @t345 @t369)) 121.96/122.19 (define @t371 () (= @t357 @t370)) 121.96/122.19 (define @t372 () (forall @t352 @t371)) 121.96/122.19 (define @t373 () (_ tptp.s @t335)) 121.96/122.19 (define @t374 () (_ @t373 @t334)) 121.96/122.19 (define @t375 () (_ @t373 @t338)) 121.96/122.19 (define @t376 () (_ (_ @t201 @t375) @t374)) 121.96/122.19 (define @t377 () (_ @t373 @t376)) 121.96/122.19 (define @t378 () (= @t374 @t377)) 121.96/122.19 (define @t379 () (forall @t342 @t378)) 121.96/122.19 (define @t380 () (_ tptp.s @t345)) 121.96/122.19 (define @t381 () (_ @t380 @t344)) 121.96/122.19 (define @t382 () (_ @t380 @t347)) 121.96/122.19 (define @t383 () (_ (_ @t205 @t382) @t381)) 121.96/122.19 (define @t384 () (_ @t380 @t383)) 121.96/122.19 (define @t385 () (= @t382 @t384)) 121.96/122.19 (define @t386 () (forall @t352 @t385)) 121.96/122.19 (define @t387 () (= @t196 @t202)) 121.96/122.19 (define @t388 () (forall @t208 @t387)) 121.96/122.19 (define @t389 () (@list @t33 @t197 @t195)) 121.96/122.19 (define @t390 () (= @t198 @t206)) 121.96/122.19 (define @t391 () (forall @t208 @t390)) 121.96/122.19 (define @t392 () (and @t391 @t388)) 121.96/122.19 (define @t393 () (_ @t301 @t351 @t319)) 121.96/122.19 (define @t394 () (_ @t302 @t393 @t317)) 121.96/122.19 (define @t395 () (_ @t288 @t287 @t394)) 121.96/122.19 (define @t396 () (= @t319 @t395)) 121.96/122.19 (define @t397 () (@list tptp.tyop_2Eextreal_2Eextreal @t318 @t316)) 121.96/122.19 (define @t398 () (_ @t297 @t296 @t266)) 121.96/122.19 (define @t399 () (_ @t288 @t298 @t398)) 121.96/122.19 (define @t400 () (_ @t300 @t299 @t399)) 121.96/122.19 (define @t401 () (_ @t301 @t400 @t319)) 121.96/122.19 (define @t402 () (_ @t302 @t401 @t317)) 121.96/122.19 (define @t403 () (_ @t288 @t287 @t402)) 121.96/122.19 (define @t404 () (= @t319 @t403)) 121.96/122.19 (define @t405 () (not @t404)) 121.96/122.19 (define @t406 () (not @t263)) 121.96/122.19 (define @t407 () (= @t330 @t325)) 121.96/122.19 (define @t408 () (not @t407)) 121.96/122.19 (define @t409 () (_ @t284 @t283 @t237)) 121.96/122.19 (define @t410 () (_ @t288 @t287 @t409)) 121.96/122.19 (define @t411 () (_ @t290 @t289 @t410)) 121.96/122.19 (define @t412 () (= @t237 @t411)) 121.96/122.19 (define @t413 () (not @t412)) 121.96/122.19 (define @t414 () (_ @t290 @t289 @t319)) 121.96/122.19 (define @t415 () (= @t227 @t414)) 121.96/122.19 (define @t416 () (not @t415)) 121.96/122.19 (define @t417 () (= @t237 @t328)) 121.96/122.19 (define @t418 () (not @t417)) 121.96/122.19 (define @t419 () (not @t275)) 121.96/122.19 (define @t420 () (not @t226)) 121.96/122.19 (define @t421 () (not @t266)) 121.96/122.19 (define @t422 () (= false true)) 121.96/122.19 (define @t423 () (_ @t297 @t296 @t226)) 121.96/122.19 (define @t424 () (_ @t288 @t298 @t423)) 121.96/122.19 (define @t425 () (and @t263 @t415 @t404 @t266 @t226 @t275 @t407 @t417 @t412 @t260)) 121.96/122.19 (define @t426 () (@purify false)) 121.96/122.19 (define @t427 () (_ @t218 @t238 @t237)) 121.96/122.19 (define @t428 () (or @t427 @t427)) 121.96/122.19 (define @t429 () (not @t426)) 121.96/122.19 (define @t430 () (_ @t301 @t341 @t319)) 121.96/122.19 (define @t431 () (_ @t302 @t430 @t317)) 121.96/122.19 (define @t432 () (_ @t288 @t287 @t431)) 121.96/122.19 (define @t433 () (= @t317 @t432)) 121.96/122.19 (define @t434 () (_ @t297 @t296 @t426)) 121.96/122.19 (define @t435 () (_ @t288 @t298 @t434)) 121.96/122.19 (define @t436 () (_ @t300 @t299 @t435)) 121.96/122.19 (define @t437 () (_ @t301 @t436 @t319)) 121.96/122.19 (define @t438 () (_ @t302 @t437 @t317)) 121.96/122.19 (define @t439 () (_ @t288 @t287 @t438)) 121.96/122.19 (define @t440 () (= @t317 @t439)) 121.96/122.19 (define @t441 () (not @t440)) 121.96/122.19 (define @t442 () (not @t427)) 121.96/122.19 (define @t443 () (_ @t290 @t289 @t317)) 121.96/122.19 (define @t444 () (= @t223 @t443)) 121.96/122.19 (define @t445 () (not @t444)) 121.96/122.19 (define @t446 () (not @t419)) 121.96/122.19 (define @t447 () (not @t241)) 121.96/122.19 (define @t448 () (not @t429)) 121.96/122.19 (define @t449 () (_ @t297 @t296 @t241)) 121.96/122.19 (define @t450 () (_ @t288 @t298 @t449)) 121.96/122.19 (define @t451 () (and @t427 @t412 @t417 @t407 @t419 @t429 @t447 @t440 @t444 @t252)) 121.96/122.19 (define @t452 () (not @t230)) 121.96/122.19 (define @t453 () (@purify @t229)) 121.96/122.19 (define @t454 () (_ @t218 @t228 @t223)) 121.96/122.19 (define @t455 () (not @t454)) 121.96/122.19 (define @t456 () (or @t253 @t455 @t229)) 121.96/122.19 (define @t457 () (= @t403 (_ @t288 @t287 (_ @t284 @t283 (_ @t215 (_ @t214 (_ @t269 @t268 @t266) @t227) @t223))))) 121.96/122.19 (define @t458 () (not @t457)) 121.96/122.19 (define @t459 () (not @t239)) 121.96/122.19 (define @t460 () (= true false)) 121.96/122.19 (define @t461 () (and @t404 @t412 @t415 @t417 @t275 @t457 @t266 @t261 @t239)) 121.96/122.19 (define @t462 () (not @t274)) 121.96/122.19 (define @t463 () (not @t453)) 121.96/122.19 (define @t464 () (not @t463)) 121.96/122.19 (define @t465 () (_ @t297 @t296 @t453)) 121.96/122.19 (define @t466 () (_ @t288 @t298 @t465)) 121.96/122.19 (define @t467 () (_ @t300 @t299 @t466)) 121.96/122.19 (define @t468 () (and @t429 @t463 @t417 @t419 @t455 @t444 @t412 @t407 @t440)) 121.96/122.19 (define @t469 () (and @t429 @t463 @t417 @t462 @t419 @t444 @t412 @t407 @t440)) 121.96/122.19 (define @t470 () (or @t259 @t263)) 121.96/122.19 (define @t471 () (@list true)) 121.96/122.19 (define @t472 () (@list @t225)) 121.96/122.19 (define @t473 () (and @t253 @t444 @t440 @t429 @t420 @t419 @t407 @t417 @t412 @t239)) 121.96/122.19 (define @t474 () (or @t261 @t462 @t225)) 121.96/122.19 (assume @p1 (forall @t11 (= (_ @t3 (_ tptp.i_mono_2Etyop_2Eextreal_2Eextreal @t10)) (_ @t3 (_ (_ tptp.app_2E2 @t9) @t4))))) 121.96/122.19 (assume @p2 @t15) 121.96/122.19 (assume @p3 @t24) 121.96/122.19 (assume @p4 @t31) 121.96/122.19 (assume @p5 (forall @t40 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t39 (_ tptp.c_2Ebool_2E_3F_2E1 @t37))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t39 (_ (_ tptp.app_2E2 (_ @t38 tptp.c_2Ebool_2E_3F_2E0)) @t37)))))) 121.96/122.19 (assume @p6 (forall (@list @t41) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 @t44) @t41))) 121.96/122.19 (assume @p7 (forall @t51 (= (_ @t49 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @t50)) (_ @t49 (_ (_ tptp.app_2E2 @t48) @t4))))) 121.96/122.19 (assume @p8 (forall @t55 (= (=> (not (or @t52 @t54)) tptp.mono_2Ec_2Ebool_2EF) (=> (=> @t54 tptp.mono_2Ec_2Ebool_2EF) @t53)))) 121.96/122.19 (assume @p9 (forall (@list @t33 @t32 @t56) (= (= @t59 @t58) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t39 (_ (_ tptp.app_2E2 (_ @t36 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t34 @t35)) tptp.c_2Emin_2E_3D_2E0)) @t59))) @t58)))))) 121.96/122.19 (assume @p10 @t71) 121.96/122.19 (assume @p11 (forall @t78 (= (= (= @t73 @t72) @t75) (and (or @t75 @t72 @t73) (or @t75 @t74 @t77) (or @t73 @t76 @t77) (or @t76 @t74 @t72))))) 121.96/122.19 (assume @p12 (forall @t14 (=> @t80 @t79))) 121.96/122.19 (assume @p13 (forall (@list @t81) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t85) @t81))) 121.96/122.19 (assume @p14 (forall @t89 (= (_ @t87 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t88))) @t88))) 121.96/122.19 (assume @p15 (forall @t78 (= (and (or @t75 @t77 @t74) (or @t76 @t72) (or @t73 @t76)) (= (and @t73 @t72) @t75)))) 121.96/122.19 (assume @p16 (forall @t89 (= (_ @t47 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @t90))) @t90))) 121.96/122.19 (assume @p17 (forall @t92 (= (not @t91) (_ tptp.mono_2Ec_2Ebool_2E_7E @t91)))) 121.96/122.19 (assume @p18 (forall (@list @t33 @t96 @t93 @t95) (= (_ @t57 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t99) (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t34 @t99)) tptp.combin_k_2E0)) @t94))) (_ @t97 @t95))) @t94))) 121.96/122.19 (assume @p19 @t102) 121.96/122.19 (assume @p20 (forall @t89 (= (_ @t3 (_ tptp.i_mono_2Etyop_2Eextreal_2Eextreal (_ tptp.j_mono_2Etyop_2Eextreal_2Eextreal @t103))) @t103))) 121.96/122.19 (assume @p21 (forall @t78 (= (= @t75 (=> @t73 @t72)) (and (or @t75 @t77) (or @t72 @t76 @t74) (or @t73 @t75))))) 121.96/122.19 (assume @p22 (forall @t107 (= (_ @t39 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t106)) (_ @t39 (_ (_ tptp.app_2E2 @t105) @t4))))) 121.96/122.19 (assume @p23 (forall @t89 (= (_ @t43 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 @t108))) @t108))) 121.96/122.19 (assume @p24 (forall (@list @t5) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 @t9) @t5))) 121.96/122.19 (assume @p25 (forall (@list @t110 @t109) (=> (=> @t110 @t109) (=> (=> @t109 @t110) (= @t110 @t109))))) 121.96/122.19 (assume @p26 (forall @t114 (=> @t113 (=> (=> @t111 tptp.mono_2Ec_2Ebool_2EF) tptp.mono_2Ec_2Ebool_2EF)))) 121.96/122.19 (assume @p27 (forall @t118 (= @t117 @t117))) 121.96/122.19 (assume @p28 tptp.mono_2Ec_2Ebool_2ET) 121.96/122.19 (assume @p29 (and @t121 (= tptp.mono_2Ec_2Ebool_2EF (not tptp.mono_2Ec_2Ebool_2ET)) (= tptp.mono_2Ec_2Ebool_2ET @t119))) 121.96/122.19 (assume @p30 (forall @t51 (= @t50 @t50))) 121.96/122.19 (assume @p31 (forall @t89 (= (_ @t39 (_ tptp.i_mono_2Etyop_2Emin_2Ebool (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t122))) @t122))) 121.96/122.19 (assume @p32 (forall @t14 (and (= tptp.mono_2Ec_2Ebool_2ET @t13) (= (=> @t12 @t12) tptp.mono_2Ec_2Ebool_2ET) (= @t79 @t80) (= tptp.mono_2Ec_2Ebool_2ET (=> @t12 tptp.mono_2Ec_2Ebool_2ET)) (= (=> tptp.mono_2Ec_2Ebool_2ET @t12) @t12)))) 121.96/122.19 (assume @p33 (forall @t125 (= @t124 (or @t111 @t123)))) 121.96/122.19 (assume @p34 @t131) 121.96/122.19 (assume @p35 (forall (@list @t116) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t132) @t116))) 121.96/122.19 (assume @p36 (forall @t11 (= @t10 @t10))) 121.96/122.19 (assume @p37 (forall @t134 (= @t133 @t133))) 121.96/122.19 (assume @p38 (forall @t140 (= (exists @t139 @t138) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t39 (_ tptp.c_2Ebool_2E_3F_2E1 @t136)))))) 121.96/122.19 (assume @p39 (forall @t14 (and (= (= @t12 tptp.mono_2Ec_2Ebool_2ET) @t12) (= @t79 (= tptp.mono_2Ec_2Ebool_2EF @t12)) (= @t79 (= @t12 tptp.mono_2Ec_2Ebool_2EF)) (= (= tptp.mono_2Ec_2Ebool_2ET @t12) @t12)))) 121.96/122.19 (assume @p40 @t153) 121.96/122.19 (assume @p41 (forall (@list @t33 @t156 @t56 @t154) (= (_ @t57 (_ (_ (_ tptp.c_2Ebool_2ECOND_2E3 @t157) @t58) @t155)) (_ @t57 (_ (_ tptp.app_2E2 (_ @t160 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t159) (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t82 @t159)) tptp.c_2Ebool_2ECOND_2E0)) @t157))) @t58))) @t155))))) 121.96/122.19 (assume @p42 (forall (@list @t33 @t93 @t95) (= (= @t94 @t161) (= @t161 @t94)))) 121.96/122.19 (assume @p43 (forall @t14 (or @t12 @t79))) 121.96/122.19 (assume @p44 (forall @t162 (= (=> @t91 @t115) (_ (_ tptp.mono_2Ec_2Emin_2E_3D_3D_3E @t91) @t115)))) 121.96/122.19 (assume @p45 (forall (@list @t111 @t123 @t163) (= (or @t111 @t163 @t123) (or @t111 @t123 @t163)))) 121.96/122.19 (assume @p46 (forall @t89 (= (_ @t49 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @t164))) @t164))) 121.96/122.19 (assume @p47 (forall @t89 (= (_ @t8 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 @t165))) @t165))) 121.96/122.19 (assume @p48 (= (_ @t166 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 tptp.mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal)) (_ @t166 tptp.c_2Ebool_2ECOND_2E0))) 121.96/122.19 (assume @p49 (forall @t92 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t145) @t91))) 121.96/122.19 (assume @p50 (forall @t168 (= @t167 @t167))) 121.96/122.19 (assume @p51 (forall @t168 (= (_ @t8 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 @t167)) (_ @t8 (_ (_ tptp.app_2E2 @t44) @t4))))) 121.96/122.19 (assume @p52 (forall (@list @t45) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @t48) @t45))) 121.96/122.19 (assume @p53 (forall @t162 (= (and @t115 @t91) (_ (_ tptp.mono_2Ec_2Ebool_2E_2F_5C @t91) @t115)))) 121.96/122.19 (assume @p54 (forall @t134 (= (_ @t87 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t133)) (_ @t87 (_ (_ tptp.app_2E2 @t85) @t169))))) 121.96/122.19 (assume @p55 (forall @t89 (= (_ @t166 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 @t170))) @t170))) 121.96/122.19 (assume @p56 (forall @t78 (= (and (or @t74 @t75) (or @t73 @t76 @t72) (or @t77 @t75)) (= @t75 (or @t73 @t72))))) 121.96/122.19 (assume @p57 (forall @t125 (and (= (or @t112 @t171) (not (and @t111 @t123))) (= (and @t112 @t171) (not @t124))))) 121.96/122.19 (assume @p58 (forall (@list @t33 @t96 @t135 @t172) (=> (forall (@list @t177) (= (_ @t97 (_ (_ tptp.app_2E2 @t176) @t178)) @t179)) (= @t176 @t175)))) 121.96/122.19 (assume @p59 (forall @t55 (= (=> @t54 @t53) (=> (not (or @t52 (not @t54))) tptp.mono_2Ec_2Ebool_2EF)))) 121.96/122.19 (assume @p60 (forall (@list @t33 @t93) (= (_ @t57 (_ (_ tptp.app_2E2 (_ @t160 tptp.combin_i_2E0)) @t94)) @t94))) 121.96/122.19 (assume @p61 (forall @t162 (= (_ (_ tptp.mono_2Ec_2Ebool_2E_5C_2F @t91) @t115) (or @t91 @t115)))) 121.96/122.19 (assume @p62 (forall @t182 (= @t181 @t181))) 121.96/122.19 (assume @p63 (forall @t89 (= (_ @t84 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t183))) @t183))) 121.96/122.19 (assume @p64 (forall @t40 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t39 (_ tptp.c_2Ebool_2E_21_2E1 @t37))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t39 (_ (_ tptp.app_2E2 (_ @t38 tptp.c_2Ebool_2E_21_2E0)) @t37)))))) 121.96/122.19 (assume @p65 (forall (@list @t33 @t96 @t184 @t135 @t172 @t177) (= (_ @t188 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t189) (_ (_ tptp.app_2E2 (_ (_ tptp.s @t190) (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ (_ tptp.tyop_2Emin_2Efun @t186) @t190)) tptp.combin_s_2E0)) @t187))) @t175))) @t178)) (_ @t188 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t185) (_ (_ tptp.app_2E2 @t187) @t178))) @t179))))) 121.96/122.19 (assume @p66 (forall (@list @t33 @t86 @t191) (= (= @t193 @t192) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t39 (_ (_ tptp.c_2Emin_2E_3D_2E2 @t193) @t192)))))) 121.96/122.19 (assume @p67 (forall @t182 (= (_ @t43 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 @t181)) (_ @t43 (_ (_ tptp.app_2E2 @t194) @t169))))) 121.96/122.19 (assume @p68 (forall @t118 (= (_ @t39 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t117)) (_ @t39 (_ (_ tptp.app_2E2 @t132) @t169))))) 121.96/122.19 (assume @p69 (forall @t14 (=> @t79 @t80))) 121.96/122.19 (assume @p70 (forall (@list @t180) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 @t194) @t180))) 121.96/122.19 (assume @p71 @t121) 121.96/122.19 (assume @p72 @t209) 121.96/122.19 (assume @p73 (forall @t107 (= @t106 @t106))) 121.96/122.19 (assume @p74 (forall @t140 (= (forall @t139 @t138) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t39 (_ tptp.c_2Ebool_2E_21_2E1 @t136)))))) 121.96/122.19 (assume @p75 (forall (@list @t104) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @t105) @t104))) 121.96/122.19 (assume @p76 (forall (@list @t211 @t210) (= (= @t210 @t212) (and (or (not @t210) @t212) (or @t211 @t210))))) 121.96/122.19 (assume @p77 (forall @t114 (=> @t111 @t113))) 121.96/122.19 (assume @p78 true) 121.96/122.19 (step @p79 :rule skolem_intro :args (@t226)) 121.96/122.19 (step @p80 :rule symm :premises (@p79)) 121.96/122.19 (step @p81 :rule equiv_elim1 :premises (@p80)) 121.96/122.19 (step @p82 :rule cnf_and_neg :args (@t230)) 121.96/122.19 (step @p83 :rule eq-symm :args (@t219 @t220)) 121.96/122.19 (step @p84 :rule cong :premises (@p83) :args (@t231)) 121.96/122.19 (step @p85 :rule cong :premises (@p84) :args (@t232)) 121.96/122.19 ; WARNING: add trust step for TRUST 121.96/122.19 ; trust TRUST PREPROCESS_HO_ELIM 121.96/122.19 (step @p86 :rule trust :premises () :args ((= (not (forall @t69 (= @t236 (and @t234 @t233)))) @t232))) 121.96/122.19 (step @p87 :rule refl :args (@t233)) 121.96/122.19 (step @p88 :rule refl :args (@t62)) 121.96/122.19 (step @p89 :rule cong :premises (@p88 @p87) :args ((= @t62 @t233))) 121.96/122.19 (step @p90 :rule symm :premises (@p89)) 121.96/122.19 (step @p91 :rule eq_resolve :premises (@p88 @p90)) 121.96/122.19 (step @p92 :rule refl :args (@t234)) 121.96/122.19 (step @p93 :rule refl :args (@t64)) 121.96/122.19 (step @p94 :rule cong :premises (@p93 @p92) :args ((= @t64 @t234))) 121.96/122.19 (step @p95 :rule symm :premises (@p94)) 121.96/122.19 (step @p96 :rule eq_resolve :premises (@p93 @p95)) 121.96/122.19 (step @p97 :rule nary_cong :premises (@p96 @p91) :args (@t65)) 121.96/122.19 (step @p98 :rule refl :args ((tptp.mono_2Ec_2Eextreal_2Eextreal__le @t66 @t60))) 121.96/122.19 (step @p99 :rule refl :args (@t60)) 121.96/122.19 (step @p100 :rule refl :args (@t235)) 121.96/122.19 (step @p101 :rule cong :premises (@p100 @p99) :args (@t236)) 121.96/122.19 (step @p102 :rule trans :premises (@p101 @p98)) 121.96/122.19 (step @p103 :rule refl :args (tptp.mono_2Ec_2Eextreal_2Eextreal__le)) 121.96/122.19 (step @p104 :rule ho_cong :premises (@p103 @p100)) 121.96/122.19 (step @p105 :rule ho_cong :premises (@p104 @p99)) 121.96/122.19 (step @p106 :rule cong :premises (@p105 @p102) :args ((= (_ (_ tptp.mono_2Ec_2Eextreal_2Eextreal__le @t235) @t60) @t236))) 121.96/122.19 (step @p107 :rule symm :premises (@p106)) 121.96/122.19 (step @p108 :rule refl :args (@t67)) 121.96/122.19 (step @p109 :rule eq_resolve :premises (@p108 @p107)) 121.96/122.19 (step @p110 :rule refl :args (@t66)) 121.96/122.19 (step @p111 :rule cong :premises (@p110 @p100) :args ((= @t66 @t235))) 121.96/122.19 (step @p112 :rule symm :premises (@p111)) 121.96/122.19 (step @p113 :rule eq_resolve :premises (@p110 @p112)) 121.96/122.19 (step @p114 :rule ho_cong :premises (@p103 @p113)) 121.96/122.19 (step @p115 :rule ho_cong :premises (@p114 @p99)) 121.96/122.19 (step @p116 :rule trans :premises (@p115 @p109)) 121.96/122.19 (step @p117 :rule cong :premises (@p116 @p97) :args (@t68)) 121.96/122.19 (step @p118 :rule cong :premises (@p117) :args (@t70)) 121.96/122.19 (step @p119 :rule cong :premises (@p118) :args (@t71)) 121.96/122.19 (step @p120 :rule trans :premises (@p119 @p86 @p85)) 121.96/122.19 (step @p121 :rule eq_resolve :premises (@p10 @p120)) 121.96/122.19 (step @p122 :rule skolemize :premises (@p121)) 121.96/122.19 (step @p123 :rule cnf_equiv_neg2 :args (@t240)) 121.96/122.19 (step @p124 :rule skolem_intro :args (@t241)) 121.96/122.19 (step @p125 :rule symm :premises (@p124)) 121.96/122.19 (step @p126 :rule equiv_elim2 :premises (@p125)) 121.96/122.19 ; trust TRUST PREPROCESS_HO_ELIM 121.96/122.19 (step @p127 :rule trust :premises () :args ((= (forall @t30 (or (not @t247) (not @t246) @t245)) (forall @t30 (or (not (_ @t218 @t244 @t25)) (not @t243) (_ @t218 @t242 @t25)))))) 121.96/122.19 (step @p128 :rule refl :args (@t245)) 121.96/122.19 (step @p129 :rule refl :args (@t26)) 121.96/122.19 (step @p130 :rule cong :premises (@p129 @p128) :args ((= @t26 @t245))) 121.96/122.19 (step @p131 :rule symm :premises (@p130)) 121.96/122.19 (step @p132 :rule eq_resolve :premises (@p129 @p131)) 121.96/122.19 (step @p133 :rule refl :args (@t246)) 121.96/122.19 (step @p134 :rule refl :args (@t19)) 121.96/122.19 (step @p135 :rule cong :premises (@p134 @p133) :args ((= @t19 @t246))) 121.96/122.19 (step @p136 :rule symm :premises (@p135)) 121.96/122.19 (step @p137 :rule eq_resolve :premises (@p134 @p136)) 121.96/122.19 (step @p138 :rule cong :premises (@p137) :args (@t248)) 121.96/122.19 (step @p139 :rule refl :args (@t247)) 121.96/122.19 (step @p140 :rule refl :args (@t28)) 121.96/122.19 (step @p141 :rule cong :premises (@p140 @p139) :args ((= @t28 @t247))) 121.96/122.19 (step @p142 :rule symm :premises (@p141)) 121.96/122.19 (step @p143 :rule eq_resolve :premises (@p140 @p142)) 121.96/122.19 (step @p144 :rule cong :premises (@p143) :args (@t249)) 121.96/122.19 (step @p145 :rule nary_cong :premises (@p144 @p138 @p132) :args (@t250)) 121.96/122.19 (step @p146 :rule cong :premises (@p145) :args ((forall @t30 @t250))) 121.96/122.19 (step @p147 :rule aci_norm :args ((= (or (or @t249 @t248) @t26) @t250))) 121.96/122.19 (step @p148 :rule bool-and-de-morgan :args (@t28 @t19 true)) 121.96/122.19 (step @p149 :rule nary_cong :premises (@p148 @p129) :args ((or (not @t29) @t26))) 121.96/122.19 (step @p150 :rule trans :premises (@p149 @p147)) 121.96/122.19 (step @p151 :rule bool-impl-elim :args (@t29 @t26)) 121.96/122.19 (step @p152 :rule trans :premises (@p151 @p150)) 121.96/122.19 (step @p153 :rule cong :premises (@p152) :args (@t31)) 121.96/122.19 (step @p154 :rule trans :premises (@p153 @p146)) 121.96/122.19 (step @p155 :rule trans :premises (@p154 @p127)) 121.96/122.19 (step @p156 :rule eq_resolve :premises (@p4 @p155)) 121.96/122.19 (step @p157 :rule instantiate :premises (@p156) :args ((@list @t237 @t223 @t222))) 121.96/122.19 (step @p158 :rule cnf_or_pos :args (@t254)) 121.96/122.19 (step @p159 :rule reordering :premises (@p158) :args ((or @t239 @t253 @t252 (not @t254)))) 121.96/122.19 ; trust TRUST PREPROCESS_HO_ELIM 121.96/122.19 (step @p160 :rule trust :premises () :args ((= (forall @t23 (or @t256 @t246)) @t255))) 121.96/122.19 (step @p161 :rule refl :args (@t256)) 121.96/122.19 (step @p162 :rule refl :args (@t100)) 121.96/122.19 (step @p163 :rule cong :premises (@p162 @p161) :args ((= @t100 @t256))) 121.96/122.19 (step @p164 :rule symm :premises (@p163)) 121.96/122.19 (step @p165 :rule eq_resolve :premises (@p162 @p164)) 121.96/122.19 (step @p166 :rule nary_cong :premises (@p165 @p137) :args (@t101)) 121.96/122.19 (step @p167 :rule cong :premises (@p166) :args (@t102)) 121.96/122.19 (step @p168 :rule trans :premises (@p167 @p160)) 121.96/122.19 (step @p169 :rule eq_resolve :premises (@p19 @p168)) 121.96/122.19 (step @p170 :rule instantiate :premises (@p169) :args ((@list @t222 @t237))) 121.96/122.19 (step @p171 :rule cnf_or_pos :args (@t258)) 121.96/122.19 (step @p172 :rule reordering :premises (@p171) :args ((or @t239 @t257 (not @t258)))) 121.96/122.19 (step @p173 :rule instantiate :premises (@p156) :args ((@list @t237 @t227 @t222))) 121.96/122.19 (step @p174 :rule cnf_or_pos :args (@t262)) 121.96/122.19 (step @p175 :rule reordering :premises (@p174) :args ((or @t239 @t261 @t260 (not @t262)))) 121.96/122.19 (step @p176 :rule instantiate :premises (@p156) :args ((@list @t227 @t222 @t237))) 121.96/122.19 (step @p177 :rule cnf_or_pos :args (@t265)) 121.96/122.19 (step @p178 :rule reordering :premises (@p177) :args ((or @t261 @t264 @t263 (not @t265)))) 121.96/122.19 (step @p179 :rule bool-eq-true :args (@t266)) 121.96/122.19 (step @p180 :rule skolem_intro :args (@t266)) 121.96/122.19 (step @p181 :rule eq_resolve :premises (@p180 @p179)) 121.96/122.19 (step @p182 :rule eq-symm :args (@t267 @t270)) 121.96/122.19 (step @p183 :rule cong :premises (@p182) :args (@t271)) 121.96/122.19 ; trust TRUST PREPROCESS_HO_ELIM 121.96/122.19 (step @p184 :rule trust :premises () :args ((= (forall @t23 (= @t273 @t272)) @t271))) 121.96/122.19 (step @p185 :rule refl :args ((tptp.mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @t19 @t17 @t16))) 121.96/122.19 (step @p186 :rule refl :args (@t16)) 121.96/122.19 (step @p187 :rule refl :args (@t17)) 121.96/122.19 (step @p188 :rule cong :premises (@p133 @p187 @p186) :args (@t272)) 121.96/122.19 (step @p189 :rule trans :premises (@p188 @p185)) 121.96/122.19 (step @p190 :rule refl :args (tptp.mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal)) 121.96/122.19 (step @p191 :rule ho_cong :premises (@p190 @p133)) 121.96/122.19 (step @p192 :rule ho_cong :premises (@p191 @p187)) 121.96/122.19 (step @p193 :rule ho_cong :premises (@p192 @p186)) 121.96/122.19 (step @p194 :rule cong :premises (@p193 @p189) :args ((= (_ (_ (_ tptp.mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @t246) @t17) @t16) @t272))) 121.96/122.19 (step @p195 :rule symm :premises (@p194)) 121.96/122.19 (step @p196 :rule refl :args (@t20)) 121.96/122.19 (step @p197 :rule eq_resolve :premises (@p196 @p195)) 121.96/122.20 (step @p198 :rule ho_cong :premises (@p190 @p137)) 121.96/122.20 (step @p199 :rule ho_cong :premises (@p198 @p187)) 121.96/122.20 (step @p200 :rule ho_cong :premises (@p199 @p186)) 121.96/122.20 (step @p201 :rule trans :premises (@p200 @p197)) 121.96/122.20 (step @p202 :rule refl :args (@t273)) 121.96/122.20 (step @p203 :rule refl :args (@t21)) 121.96/122.20 (step @p204 :rule cong :premises (@p203 @p202) :args ((= @t21 @t273))) 121.96/122.20 (step @p205 :rule symm :premises (@p204)) 121.96/122.20 (step @p206 :rule eq_resolve :premises (@p203 @p205)) 121.96/122.20 (step @p207 :rule cong :premises (@p206 @p201) :args (@t22)) 121.96/122.20 (step @p208 :rule cong :premises (@p207) :args (@t24)) 121.96/122.20 (step @p209 :rule trans :premises (@p208 @p184 @p183)) 121.96/122.20 (step @p210 :rule eq_resolve :premises (@p3 @p209)) 121.96/122.20 (step @p211 :rule refl :args (@t223)) 121.96/122.20 (step @p212 :rule refl :args (@t227)) 121.96/122.20 (step @p213 :rule eq-refl :args (@t274)) 121.96/122.20 (step @p214 :rule skolem_intro :args (@t275)) 121.96/122.20 (step @p215 :rule refl :args (@t274)) 121.96/122.20 (step @p216 :rule cong :premises (@p215 @p214) :args ((= @t274 @t275))) 121.96/122.20 (step @p217 :rule trans :premises (@p216 @p213)) 121.96/122.20 (step @p218 :rule true_elim :premises (@p217)) 121.96/122.20 (step @p219 :rule refl :args (@t268)) 121.96/122.20 (step @p220 :rule cong :premises (@p219 @p218) :args (@t276)) 121.96/122.20 (step @p221 :rule cong :premises (@p220 @p212) :args (@t277)) 121.96/122.20 (step @p222 :rule cong :premises (@p221 @p211) :args (@t278)) 121.96/122.20 (step @p223 :rule refl :args (@t237)) 121.96/122.20 (step @p224 :rule cong :premises (@p223 @p222) :args (@t279)) 121.96/122.20 (step @p225 :rule refl :args (@t280)) 121.96/122.20 (step @p226 :rule cong :premises (@p225 @p224) :args ((=> @t280 @t279))) 121.96/122.20 (step @p227 :rule eq-symm :args (@t278 @t237)) 121.96/122.20 (step @p228 :rule cong :premises (@p225 @p227) :args ((=> @t280 @t281))) 121.96/122.20 (assume-push @p1136 @t280) 121.96/122.20 (step @p230 :rule instantiate :premises (@p210) :args ((@list @t223 @t227))) 121.96/122.20 (step-pop @p1136 :rule scope :premises (@p230)) 121.96/122.20 (step @p231 :rule process_scope :premises (@p1136) :args (@t281)) 121.96/122.20 (step @p233 :rule eq_resolve :premises (@p231 @p228)) 121.96/122.20 (step @p234 :rule eq_resolve :premises (@p233 @p226)) 121.96/122.20 (step @p235 :rule implies_elim :premises (@p234)) 121.96/122.20 (step @p236 :rule chain_resolution :premises (@p235 @p210) :args (@t282 (@list @t280))) 121.96/122.20 ; trust TRUST PREPROCESS_HO_ELIM 121.96/122.20 (step @p237 :rule trust :premises () :args ((= (forall @t130 (= @t126 @t293)) (forall @t130 (= @t126 (_ @t290 @t289 (_ @t288 @t287 (_ @t284 @t283 @t126)))))))) 121.96/122.20 (step @p238 :rule refl :args ((tptp.j_mono_2Etyop_2Eextreal_2Eextreal @t128))) 121.96/122.20 (step @p239 :rule refl :args ((tptp.s tptp.tyop_2Eextreal_2Eextreal @t127))) 121.96/122.20 (step @p240 :rule refl :args (@t291)) 121.96/122.20 (step @p241 :rule refl :args (tptp.tyop_2Eextreal_2Eextreal)) 121.96/122.20 (step @p242 :rule cong :premises (@p241 @p240) :args (@t292)) 121.96/122.20 (step @p243 :rule trans :premises (@p242 @p239)) 121.96/122.20 (step @p244 :rule cong :premises (@p243) :args (@t293)) 121.96/122.20 (step @p245 :rule trans :premises (@p244 @p238)) 121.96/122.20 (step @p246 :rule refl :args (tptp.j_mono_2Etyop_2Eextreal_2Eextreal)) 121.96/122.20 (step @p247 :rule ho_cong :premises (@p246 @p243)) 121.96/122.20 (step @p248 :rule cong :premises (@p247 @p245) :args ((= (_ tptp.j_mono_2Etyop_2Eextreal_2Eextreal @t292) @t293))) 121.96/122.20 (step @p249 :rule symm :premises (@p248)) 121.96/122.20 (step @p250 :rule refl :args (@t129)) 121.96/122.20 (step @p251 :rule eq_resolve :premises (@p250 @p249)) 121.96/122.20 (step @p252 :rule refl :args (@t3)) 121.96/122.20 (step @p253 :rule ho_cong :premises (@p252 @p240)) 121.96/122.20 (step @p254 :rule cong :premises (@p253 @p243) :args ((= (_ @t3 @t291) @t292))) 121.96/122.20 (step @p255 :rule symm :premises (@p254)) 121.96/122.20 (step @p256 :rule refl :args (@t128)) 121.96/122.20 (step @p257 :rule eq_resolve :premises (@p256 @p255)) 121.96/122.20 (step @p258 :rule refl :args (@t127)) 121.96/122.20 (step @p259 :rule cong :premises (@p258 @p240) :args ((= @t127 @t291))) 121.96/122.20 (step @p260 :rule symm :premises (@p259)) 121.96/122.20 (step @p261 :rule eq_resolve :premises (@p258 @p260)) 121.96/122.20 (step @p262 :rule ho_cong :premises (@p252 @p261)) 121.96/122.20 (step @p263 :rule trans :premises (@p262 @p257)) 121.96/122.20 (step @p264 :rule ho_cong :premises (@p246 @p263)) 121.96/122.20 (step @p265 :rule trans :premises (@p264 @p251)) 121.96/122.20 (step @p266 :rule refl :args (@t126)) 121.96/122.20 (step @p267 :rule cong :premises (@p266 @p265) :args (@t294)) 121.96/122.20 (step @p268 :rule cong :premises (@p267) :args ((forall @t130 @t294))) 121.96/122.20 (step @p269 :rule eq-symm :args (@t129 @t126)) 121.96/122.20 (step @p270 :rule cong :premises (@p269) :args (@t131)) 121.96/122.20 (step @p271 :rule trans :premises (@p270 @p268)) 121.96/122.20 (step @p272 :rule trans :premises (@p271 @p237)) 121.96/122.20 (step @p273 :rule eq_resolve :premises (@p34 @p272)) 121.96/122.20 (step @p274 :rule instantiate :premises (@p273) :args ((@list @t227))) 121.96/122.20 (step @p275 :rule instantiate :premises (@p273) :args ((@list @t237))) 121.96/122.20 (step @p276 :rule eq-symm :args (@t295 @t303)) 121.96/122.20 (step @p277 :rule cong :premises (@p276) :args (@t304)) 121.96/122.20 ; trust TRUST PREPROCESS_HO_ELIM 121.96/122.20 (step @p278 :rule trust :premises () :args ((= (forall @t152 (= @t315 @t312)) @t304))) 121.96/122.20 (step @p279 :rule refl :args ((tptp.s tptp.tyop_2Eextreal_2Eextreal @t146))) 121.96/122.20 (step @p280 :rule refl :args ((tptp.c_2Ebool_2ECOND_2E3 @t145 @t4 @t143))) 121.96/122.20 (step @p281 :rule refl :args ((tptp.s tptp.tyop_2Eextreal_2Eextreal @t142))) 121.96/122.20 (step @p282 :rule refl :args (@t305)) 121.96/122.20 (step @p283 :rule cong :premises (@p241 @p282) :args (@t306)) 121.96/122.20 (step @p284 :rule trans :premises (@p283 @p281)) 121.96/122.20 (step @p285 :rule refl :args ((tptp.s tptp.tyop_2Eextreal_2Eextreal @t2))) 121.96/122.20 (step @p286 :rule refl :args (@t307)) 121.96/122.20 (step @p287 :rule cong :premises (@p241 @p286) :args (@t308)) 121.96/122.20 (step @p288 :rule trans :premises (@p287 @p285)) 121.96/122.20 (step @p289 :rule refl :args ((tptp.s tptp.tyop_2Emin_2Ebool @t144))) 121.96/122.20 (step @p290 :rule refl :args (@t309)) 121.96/122.20 (step @p291 :rule refl :args (tptp.tyop_2Emin_2Ebool)) 121.96/122.20 (step @p292 :rule cong :premises (@p291 @p290) :args (@t310)) 121.96/122.20 (step @p293 :rule trans :premises (@p292 @p289)) 121.96/122.20 (step @p294 :rule cong :premises (@p293 @p288 @p284) :args (@t311)) 121.96/122.20 (step @p295 :rule trans :premises (@p294 @p280)) 121.96/122.20 (step @p296 :rule cong :premises (@p241 @p295) :args (@t312)) 121.96/122.20 (step @p297 :rule trans :premises (@p296 @p279)) 121.96/122.20 (step @p298 :rule ho_cong :premises (@p252 @p295)) 121.96/122.20 (step @p299 :rule cong :premises (@p298 @p297) :args ((= (_ @t3 @t311) @t312))) 121.96/122.20 (step @p300 :rule symm :premises (@p299)) 121.96/122.20 (step @p301 :rule refl :args (@t147)) 121.96/122.20 (step @p302 :rule eq_resolve :premises (@p301 @p300)) 121.96/122.20 (step @p303 :rule refl :args (tptp.c_2Ebool_2ECOND_2E3)) 121.96/122.20 (step @p304 :rule ho_cong :premises (@p303 @p293)) 121.96/122.20 (step @p305 :rule ho_cong :premises (@p304 @p288)) 121.96/122.20 (step @p306 :rule ho_cong :premises (@p305 @p284)) 121.96/122.20 (step @p307 :rule cong :premises (@p306 @p295) :args ((= (_ (_ (_ tptp.c_2Ebool_2ECOND_2E3 @t310) @t308) @t306) @t311))) 121.96/122.20 (step @p308 :rule symm :premises (@p307)) 121.96/122.20 (step @p309 :rule refl :args (@t146)) 121.96/122.20 (step @p310 :rule eq_resolve :premises (@p309 @p308)) 121.96/122.20 (step @p311 :rule ho_cong :premises (@p252 @p282)) 121.96/122.20 (step @p312 :rule cong :premises (@p311 @p284) :args ((= (_ @t3 @t305) @t306))) 121.96/122.20 (step @p313 :rule symm :premises (@p312)) 121.96/122.20 (step @p314 :rule refl :args (@t143)) 121.96/122.20 (step @p315 :rule eq_resolve :premises (@p314 @p313)) 121.96/122.20 (step @p316 :rule refl :args (@t142)) 121.96/122.20 (step @p317 :rule cong :premises (@p316 @p282) :args ((= @t142 @t305))) 121.96/122.20 (step @p318 :rule symm :premises (@p317)) 121.96/122.20 (step @p319 :rule eq_resolve :premises (@p316 @p318)) 121.96/122.20 (step @p320 :rule ho_cong :premises (@p252 @p319)) 121.96/122.20 (step @p321 :rule trans :premises (@p320 @p315)) 121.96/122.20 (step @p322 :rule ho_cong :premises (@p252 @p286)) 121.96/122.20 (step @p323 :rule cong :premises (@p322 @p288) :args ((= (_ @t3 @t307) @t308))) 121.96/122.20 (step @p324 :rule symm :premises (@p323)) 121.96/122.20 (step @p325 :rule refl :args (@t4)) 121.96/122.20 (step @p326 :rule eq_resolve :premises (@p325 @p324)) 121.96/122.20 (step @p327 :rule refl :args (@t2)) 121.96/122.20 (step @p328 :rule cong :premises (@p327 @p286) :args ((= @t2 @t307))) 121.96/122.20 (step @p329 :rule symm :premises (@p328)) 121.96/122.20 (step @p330 :rule eq_resolve :premises (@p327 @p329)) 121.96/122.20 (step @p331 :rule ho_cong :premises (@p252 @p330)) 121.96/122.20 (step @p332 :rule trans :premises (@p331 @p326)) 121.96/122.20 (step @p333 :rule refl :args (@t39)) 121.96/122.20 (step @p334 :rule ho_cong :premises (@p333 @p290)) 121.96/122.20 (step @p335 :rule cong :premises (@p334 @p293) :args ((= (_ @t39 @t309) @t310))) 121.96/122.20 (step @p336 :rule symm :premises (@p335)) 121.96/122.20 (step @p337 :rule refl :args (@t145)) 121.96/122.20 (step @p338 :rule eq_resolve :premises (@p337 @p336)) 121.96/122.20 (step @p339 :rule refl :args (@t144)) 121.96/122.20 (step @p340 :rule cong :premises (@p339 @p290) :args ((= @t144 @t309))) 121.96/122.20 (step @p341 :rule symm :premises (@p340)) 121.96/122.20 (step @p342 :rule eq_resolve :premises (@p339 @p341)) 121.96/122.20 (step @p343 :rule ho_cong :premises (@p333 @p342)) 121.96/122.20 (step @p344 :rule trans :premises (@p343 @p338)) 121.96/122.20 (step @p345 :rule ho_cong :premises (@p303 @p344)) 121.96/122.20 (step @p346 :rule ho_cong :premises (@p345 @p332)) 121.96/122.20 (step @p347 :rule ho_cong :premises (@p346 @p321)) 121.96/122.20 (step @p348 :rule trans :premises (@p347 @p310)) 121.96/122.20 (step @p349 :rule ho_cong :premises (@p252 @p348)) 121.96/122.20 (step @p350 :rule trans :premises (@p349 @p302)) 121.96/122.20 (step @p351 :rule refl :args ((tptp.s tptp.tyop_2Eextreal_2Eextreal @t149))) 121.96/122.20 (step @p352 :rule refl :args ((tptp.i_mono_2Etyop_2Eextreal_2Eextreal @t148))) 121.96/122.20 (step @p353 :rule refl :args (@t313)) 121.96/122.20 (step @p354 :rule cong :premises (@p353) :args (@t314)) 121.96/122.20 (step @p355 :rule trans :premises (@p354 @p352)) 121.96/122.20 (step @p356 :rule cong :premises (@p241 @p355) :args (@t315)) 121.96/122.20 (step @p357 :rule trans :premises (@p356 @p351)) 121.96/122.20 (step @p358 :rule ho_cong :premises (@p252 @p355)) 121.96/122.20 (step @p359 :rule cong :premises (@p358 @p357) :args ((= (_ @t3 @t314) @t315))) 121.96/122.20 (step @p360 :rule symm :premises (@p359)) 121.96/122.20 (step @p361 :rule refl :args (@t150)) 121.96/122.20 (step @p362 :rule eq_resolve :premises (@p361 @p360)) 121.96/122.20 (step @p363 :rule refl :args (tptp.i_mono_2Etyop_2Eextreal_2Eextreal)) 121.96/122.20 (step @p364 :rule ho_cong :premises (@p363 @p353)) 121.96/122.20 (step @p365 :rule cong :premises (@p364 @p355) :args ((= (_ tptp.i_mono_2Etyop_2Eextreal_2Eextreal @t313) @t314))) 121.96/122.20 (step @p366 :rule symm :premises (@p365)) 121.96/122.20 (step @p367 :rule refl :args (@t149)) 121.96/122.20 (step @p368 :rule eq_resolve :premises (@p367 @p366)) 121.96/122.20 (step @p369 :rule refl :args (@t148)) 121.96/122.20 (step @p370 :rule cong :premises (@p369 @p353) :args ((= @t148 @t313))) 121.96/122.20 (step @p371 :rule symm :premises (@p370)) 121.96/122.20 (step @p372 :rule eq_resolve :premises (@p369 @p371)) 121.96/122.20 (step @p373 :rule ho_cong :premises (@p363 @p372)) 121.96/122.20 (step @p374 :rule trans :premises (@p373 @p368)) 121.96/122.20 (step @p375 :rule ho_cong :premises (@p252 @p374)) 121.96/122.20 (step @p376 :rule trans :premises (@p375 @p362)) 121.96/122.20 (step @p377 :rule cong :premises (@p376 @p350) :args (@t151)) 121.96/122.20 (step @p378 :rule cong :premises (@p377) :args (@t153)) 121.96/122.20 (step @p379 :rule trans :premises (@p378 @p278 @p277)) 121.96/122.20 (step @p380 :rule eq_resolve :premises (@p40 @p379)) 121.96/122.20 (step @p381 :rule eq-symm :args (@t325 @t330)) 121.96/122.20 (step @p382 :rule refl :args (@t331)) 121.96/122.20 (step @p383 :rule cong :premises (@p382 @p381) :args ((=> @t331 @t332))) 121.96/122.20 (assume-push @p1138 @t331) 121.96/122.20 (step @p385 :rule instantiate :premises (@p380) :args (@t333)) 121.96/122.20 (step-pop @p1138 :rule scope :premises (@p385)) 121.96/122.20 (step @p386 :rule process_scope :premises (@p1138) :args (@t332)) 121.96/122.20 (step @p388 :rule eq_resolve :premises (@p386 @p383)) 121.96/122.20 (step @p389 :rule implies_elim :premises (@p388)) 121.96/122.20 (step @p390 :rule chain_resolution :premises (@p389 @p380) :args (@t282 (@list @t331))) 121.96/122.20 ; trust TRUST PREPROCESS_HO_ELIM 121.96/122.20 (step @p391 :rule trust :premises () :args ((= (and (forall @t352 (= @t357 (tptp.s @t345 (tptp.c_2Ebool_2ECOND_2E3 (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool true)) @t357 @t356)))) (forall @t342 (= @t354 (tptp.s @t335 (tptp.c_2Ebool_2ECOND_2E3 (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool false)) @t355 @t354))))) (and @t353 @t343)))) 121.96/122.20 (step @p392 :rule refl :args (@t354)) 121.96/122.20 (step @p393 :rule refl :args (@t355)) 121.96/122.20 (step @p394 :rule bool-eq-false :args (tptp.mono_2Ec_2Ebool_2EF)) 121.96/122.20 (step @p395 :rule symm :premises (@p394)) 121.96/122.20 (step @p396 :rule aci_norm :args ((= (or @t119 false) @t119))) 121.96/122.20 (step @p397 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t12 false)) @t12)) false))) 121.96/122.20 (step @p398 :rule refl :args (@t12)) 121.96/122.20 (step @p399 :rule bool-eq-false :args (@t12)) 121.96/122.20 (step @p400 :rule symm :premises (@p399)) 121.96/122.20 (step @p401 :rule cong :premises (@p400) :args (@t120)) 121.96/122.20 (step @p402 :rule bool-double-not-elim :args (@t12)) 121.96/122.20 (step @p403 :rule symm :premises (@p402)) 121.96/122.20 (step @p404 :rule trans :premises (@p403 @p401)) 121.96/122.20 (step @p405 :rule nary_cong :premises (@p404 @p398) :args (@t358)) 121.96/122.20 (step @p406 :rule aci_norm :args ((= @t12 @t358))) 121.96/122.20 (step @p407 :rule trans :premises (@p406 @p405)) 121.96/122.20 (step @p408 :rule cong :premises (@p407) :args (@t359)) 121.96/122.20 (step @p409 :rule trans :premises (@p408 @p397)) 121.96/122.20 (step @p410 :rule refl :args (@t119)) 121.96/122.20 (step @p411 :rule nary_cong :premises (@p410 @p409) :args (@t360)) 121.96/122.20 (step @p412 :rule trans :premises (@p411 @p396)) 121.96/122.20 (step @p413 :rule quant-miniscope-or :args ((= (forall @t14 (or @t119 @t12)) @t360))) 121.96/122.20 (step @p414 :rule trans :premises (@p413 @p412)) 121.96/122.20 (step @p415 :rule bool-impl-elim :args (tptp.mono_2Ec_2Ebool_2EF @t12)) 121.96/122.20 (step @p416 :rule cong :premises (@p415) :args (@t15)) 121.96/122.20 (step @p417 :rule trans :premises (@p416 @p414)) 121.96/122.20 (step @p418 :rule eq_resolve :premises (@p2 @p417)) 121.96/122.20 (step @p419 :rule eq_resolve :premises (@p418 @p395)) 121.96/122.20 (step @p420 :rule cong :premises (@p419) :args (@t361)) 121.96/122.20 (step @p421 :rule refl :args (tptp.tyop_2Emin_2Ebool)) 121.96/122.20 (step @p422 :rule cong :premises (@p421 @p420) :args (@t362)) 121.96/122.20 (step @p423 :rule cong :premises (@p422 @p393 @p392) :args (@t363)) 121.96/122.20 (step @p424 :rule refl :args (@t335)) 121.96/122.20 (step @p425 :rule cong :premises (@p424 @p423) :args (@t364)) 121.96/122.20 (step @p426 :rule cong :premises (@p392 @p425) :args (@t365)) 121.96/122.20 (step @p427 :rule cong :premises (@p426) :args (@t366)) 121.96/122.20 (step @p428 :rule refl :args (@t356)) 121.96/122.20 (step @p429 :rule refl :args (@t357)) 121.96/122.20 (step @p430 :rule bool-eq-true :args (tptp.mono_2Ec_2Ebool_2ET)) 121.96/122.20 (step @p431 :rule symm :premises (@p430)) 121.96/122.20 (step @p432 :rule eq_resolve :premises (@p28 @p431)) 121.96/122.20 (step @p433 :rule cong :premises (@p432) :args (@t367)) 121.96/122.20 (step @p434 :rule cong :premises (@p421 @p433) :args (@t368)) 121.96/122.20 (step @p435 :rule cong :premises (@p434 @p429 @p428) :args (@t369)) 121.96/122.20 (step @p436 :rule refl :args (@t345)) 121.96/122.20 (step @p437 :rule cong :premises (@p436 @p435) :args (@t370)) 121.96/122.20 (step @p438 :rule cong :premises (@p429 @p437) :args (@t371)) 121.96/122.20 (step @p439 :rule cong :premises (@p438) :args (@t372)) 121.96/122.20 (step @p440 :rule nary_cong :premises (@p439 @p427) :args ((and @t372 @t366))) 121.96/122.20 (step @p441 :rule refl :args ((tptp.s @t335 @t376))) 121.96/122.20 (step @p442 :rule refl :args ((tptp.c_2Ebool_2ECOND_2E3 @t200 @t375 @t374))) 121.96/122.20 (step @p443 :rule refl :args (@t354)) 121.96/122.20 (step @p444 :rule refl :args (@t355)) 121.96/122.20 (step @p445 :rule refl :args ((tptp.s tptp.tyop_2Emin_2Ebool @t199))) 121.96/122.20 (step @p446 :rule refl :args (@t361)) 121.96/122.20 (step @p447 :rule cong :premises (@p291 @p446) :args (@t362)) 121.96/122.20 (step @p448 :rule trans :premises (@p447 @p445)) 121.96/122.20 (step @p449 :rule cong :premises (@p448 @p444 @p443) :args (@t363)) 121.96/122.20 (step @p450 :rule trans :premises (@p449 @p442)) 121.96/122.20 (step @p451 :rule refl :args (@t335)) 121.96/122.20 (step @p452 :rule cong :premises (@p451 @p450) :args (@t364)) 121.96/122.20 (step @p453 :rule trans :premises (@p452 @p441)) 121.96/122.20 (step @p454 :rule refl :args (@t373)) 121.96/122.20 (step @p455 :rule ho_cong :premises (@p454 @p450)) 121.96/122.20 (step @p456 :rule cong :premises (@p455 @p453) :args ((= (_ @t373 @t363) @t364))) 121.96/122.20 (step @p457 :rule symm :premises (@p456)) 121.96/122.20 (step @p458 :rule refl :args (@t377)) 121.96/122.20 (step @p459 :rule eq_resolve :premises (@p458 @p457)) 121.96/122.20 (step @p460 :rule ho_cong :premises (@p303 @p448)) 121.96/122.20 (step @p461 :rule ho_cong :premises (@p460 @p444)) 121.96/122.20 (step @p462 :rule ho_cong :premises (@p461 @p443)) 121.96/122.20 (step @p463 :rule cong :premises (@p462 @p450) :args ((= (_ (_ (_ tptp.c_2Ebool_2ECOND_2E3 @t362) @t355) @t354) @t363))) 121.96/122.20 (step @p464 :rule symm :premises (@p463)) 121.96/122.20 (step @p465 :rule refl :args (@t376)) 121.96/122.20 (step @p466 :rule eq_resolve :premises (@p465 @p464)) 121.96/122.20 (step @p467 :rule refl :args (@t374)) 121.96/122.20 (step @p468 :rule cong :premises (@p467 @p443) :args ((= @t374 @t354))) 121.96/122.20 (step @p469 :rule symm :premises (@p468)) 121.96/122.20 (step @p470 :rule eq_resolve :premises (@p467 @p469)) 121.96/122.20 (step @p471 :rule refl :args (@t375)) 121.96/122.20 (step @p472 :rule cong :premises (@p471 @p444) :args ((= @t375 @t355))) 121.96/122.20 (step @p473 :rule symm :premises (@p472)) 121.96/122.20 (step @p474 :rule eq_resolve :premises (@p471 @p473)) 121.96/122.20 (step @p475 :rule ho_cong :premises (@p333 @p446)) 121.96/122.20 (step @p476 :rule cong :premises (@p475 @p448) :args ((= (_ @t39 @t361) @t362))) 121.96/122.20 (step @p477 :rule symm :premises (@p476)) 121.96/122.20 (step @p478 :rule refl :args (@t200)) 121.96/122.20 (step @p479 :rule eq_resolve :premises (@p478 @p477)) 121.96/122.20 (step @p480 :rule refl :args (@t199)) 121.96/122.20 (step @p481 :rule cong :premises (@p480 @p446) :args ((= @t199 @t361))) 121.96/122.20 (step @p482 :rule symm :premises (@p481)) 121.96/122.20 (step @p483 :rule eq_resolve :premises (@p480 @p482)) 121.96/122.20 (step @p484 :rule ho_cong :premises (@p333 @p483)) 121.96/122.20 (step @p485 :rule trans :premises (@p484 @p479)) 121.96/122.20 (step @p486 :rule ho_cong :premises (@p303 @p485)) 121.96/122.20 (step @p487 :rule ho_cong :premises (@p486 @p474)) 121.96/122.20 (step @p488 :rule ho_cong :premises (@p487 @p470)) 121.96/122.20 (step @p489 :rule trans :premises (@p488 @p466)) 121.96/122.20 (step @p490 :rule ho_cong :premises (@p454 @p489)) 121.96/122.20 (step @p491 :rule trans :premises (@p490 @p459)) 121.96/122.20 (step @p492 :rule cong :premises (@p470 @p491) :args (@t378)) 121.96/122.20 (step @p493 :rule cong :premises (@p492) :args (@t379)) 121.96/122.20 (step @p494 :rule refl :args ((tptp.s @t345 @t383))) 121.96/122.20 (step @p495 :rule refl :args ((tptp.c_2Ebool_2ECOND_2E3 @t204 @t382 @t381))) 121.96/122.20 (step @p496 :rule refl :args (@t356)) 121.96/122.20 (step @p497 :rule refl :args (@t357)) 121.96/122.20 (step @p498 :rule refl :args ((tptp.s tptp.tyop_2Emin_2Ebool @t203))) 121.96/122.20 (step @p499 :rule refl :args (@t367)) 121.96/122.20 (step @p500 :rule cong :premises (@p291 @p499) :args (@t368)) 121.96/122.20 (step @p501 :rule trans :premises (@p500 @p498)) 121.96/122.20 (step @p502 :rule cong :premises (@p501 @p497 @p496) :args (@t369)) 121.96/122.20 (step @p503 :rule trans :premises (@p502 @p495)) 121.96/122.20 (step @p504 :rule refl :args (@t345)) 121.96/122.20 (step @p505 :rule cong :premises (@p504 @p503) :args (@t370)) 121.96/122.20 (step @p506 :rule trans :premises (@p505 @p494)) 121.96/122.20 (step @p507 :rule refl :args (@t380)) 121.96/122.20 (step @p508 :rule ho_cong :premises (@p507 @p503)) 121.96/122.20 (step @p509 :rule cong :premises (@p508 @p506) :args ((= (_ @t380 @t369) @t370))) 121.96/122.20 (step @p510 :rule symm :premises (@p509)) 121.96/122.20 (step @p511 :rule refl :args (@t384)) 121.96/122.20 (step @p512 :rule eq_resolve :premises (@p511 @p510)) 121.96/122.20 (step @p513 :rule ho_cong :premises (@p303 @p501)) 121.96/122.20 (step @p514 :rule ho_cong :premises (@p513 @p497)) 121.96/122.20 (step @p515 :rule ho_cong :premises (@p514 @p496)) 121.96/122.20 (step @p516 :rule cong :premises (@p515 @p503) :args ((= (_ (_ (_ tptp.c_2Ebool_2ECOND_2E3 @t368) @t357) @t356) @t369))) 121.96/122.20 (step @p517 :rule symm :premises (@p516)) 121.96/122.20 (step @p518 :rule refl :args (@t383)) 121.96/122.20 (step @p519 :rule eq_resolve :premises (@p518 @p517)) 121.96/122.20 (step @p520 :rule refl :args (@t381)) 121.96/122.20 (step @p521 :rule cong :premises (@p520 @p496) :args ((= @t381 @t356))) 121.96/122.20 (step @p522 :rule symm :premises (@p521)) 121.96/122.20 (step @p523 :rule eq_resolve :premises (@p520 @p522)) 121.96/122.20 (step @p524 :rule refl :args (@t382)) 121.96/122.20 (step @p525 :rule cong :premises (@p524 @p497) :args ((= @t382 @t357))) 121.96/122.20 (step @p526 :rule symm :premises (@p525)) 121.96/122.20 (step @p527 :rule eq_resolve :premises (@p524 @p526)) 121.96/122.20 (step @p528 :rule ho_cong :premises (@p333 @p499)) 121.96/122.20 (step @p529 :rule cong :premises (@p528 @p501) :args ((= (_ @t39 @t367) @t368))) 121.96/122.20 (step @p530 :rule symm :premises (@p529)) 121.96/122.20 (step @p531 :rule refl :args (@t204)) 121.96/122.20 (step @p532 :rule eq_resolve :premises (@p531 @p530)) 121.96/122.20 (step @p533 :rule refl :args (@t203)) 121.96/122.20 (step @p534 :rule cong :premises (@p533 @p499) :args ((= @t203 @t367))) 121.96/122.20 (step @p535 :rule symm :premises (@p534)) 121.96/122.20 (step @p536 :rule eq_resolve :premises (@p533 @p535)) 121.96/122.20 (step @p537 :rule ho_cong :premises (@p333 @p536)) 121.96/122.20 (step @p538 :rule trans :premises (@p537 @p532)) 121.96/122.20 (step @p539 :rule ho_cong :premises (@p303 @p538)) 121.96/122.20 (step @p540 :rule ho_cong :premises (@p539 @p527)) 121.96/122.20 (step @p541 :rule ho_cong :premises (@p540 @p523)) 121.96/122.20 (step @p542 :rule trans :premises (@p541 @p519)) 121.96/122.20 (step @p543 :rule ho_cong :premises (@p507 @p542)) 121.96/122.20 (step @p544 :rule trans :premises (@p543 @p512)) 121.96/122.20 (step @p545 :rule cong :premises (@p527 @p544) :args (@t385)) 121.96/122.20 (step @p546 :rule cong :premises (@p545) :args (@t386)) 121.96/122.20 (step @p547 :rule nary_cong :premises (@p546 @p493) :args ((and @t386 @t379))) 121.96/122.20 (step @p548 :rule alpha_equiv :args (@t388 @t389 (@list @t335 @t338 @t334))) 121.96/122.20 (step @p549 :rule alpha_equiv :args (@t391 @t389 (@list @t345 @t347 @t344))) 121.96/122.20 (step @p550 :rule nary_cong :premises (@p549 @p548) :args (@t392)) 121.96/122.20 (step @p551 :rule quant-miniscope-and :args ((= (forall @t208 (and @t390 @t387)) @t392))) 121.96/122.20 (step @p552 :rule trans :premises (@p551 @p550)) 121.96/122.20 (step @p553 :rule trans :premises (@p552 @p547)) 121.96/122.20 (step @p554 :rule eq-symm :args (@t202 @t196)) 121.96/122.20 (step @p555 :rule eq-symm :args (@t206 @t198)) 121.96/122.20 (step @p556 :rule nary_cong :premises (@p555 @p554) :args (@t207)) 121.96/122.20 (step @p557 :rule cong :premises (@p556) :args (@t209)) 121.96/122.20 (step @p558 :rule trans :premises (@p557 @p553)) 121.96/122.20 (step @p559 :rule trans :premises (@p558 @p440 @p391)) 121.96/122.20 (step @p560 :rule eq_resolve :premises (@p72 @p559)) 121.96/122.20 (step @p561 :rule and_elim :premises (@p560) :args (0)) 121.96/122.20 (step @p562 :rule refl :args (@t317)) 121.96/122.20 (step @p563 :rule refl :args (@t319)) 121.96/122.20 (step @p564 :rule symm :premises (@p180)) 121.96/122.20 (step @p565 :rule refl :args (@t296)) 121.96/122.20 (step @p566 :rule cong :premises (@p565 @p564) :args (@t349)) 121.96/122.20 (step @p567 :rule refl :args (@t298)) 121.96/122.20 (step @p568 :rule cong :premises (@p567 @p566) :args (@t350)) 121.96/122.20 (step @p569 :rule refl :args (@t299)) 121.96/122.20 (step @p570 :rule cong :premises (@p569 @p568) :args (@t351)) 121.96/122.20 (step @p571 :rule cong :premises (@p570 @p563) :args (@t393)) 121.96/122.20 (step @p572 :rule cong :premises (@p571 @p562) :args (@t394)) 121.96/122.20 (step @p573 :rule refl :args (@t287)) 121.96/122.20 (step @p574 :rule cong :premises (@p573 @p572) :args (@t395)) 121.96/122.20 (step @p575 :rule cong :premises (@p563 @p574) :args (@t396)) 121.96/122.20 (step @p576 :rule refl :args (@t353)) 121.96/122.20 (step @p577 :rule cong :premises (@p576 @p575) :args ((=> @t353 @t396))) 121.96/122.20 (assume-push @p1140 @t353) 121.96/122.20 (step @p579 :rule instantiate :premises (@p561) :args (@t397)) 121.96/122.20 (step-pop @p1140 :rule scope :premises (@p579)) 121.96/122.20 (step @p580 :rule process_scope :premises (@p1140) :args (@t396)) 121.96/122.20 (step @p582 :rule eq_resolve :premises (@p580 @p577)) 121.96/122.20 (step @p583 :rule implies_elim :premises (@p582)) 121.96/122.20 (step @p584 :rule chain_resolution :premises (@p583 @p561) :args (@t282 (@list @t353))) 121.96/122.20 (step @p585 :rule refl :args (@t405)) 121.96/122.20 (step @p586 :rule refl :args (@t406)) 121.96/122.20 (step @p587 :rule refl :args (@t408)) 121.96/122.20 (step @p588 :rule refl :args (@t413)) 121.96/122.20 (step @p589 :rule refl :args (@t416)) 121.96/122.20 (step @p590 :rule bool-double-not-elim :args (@t259)) 121.96/122.20 (step @p591 :rule refl :args (@t418)) 121.96/122.20 (step @p592 :rule refl :args (@t419)) 121.96/122.20 (step @p593 :rule refl :args (@t420)) 121.96/122.20 (step @p594 :rule refl :args (@t421)) 121.96/122.20 (step @p595 :rule nary_cong :premises (@p594 @p593 @p592 @p591 @p590 @p589 @p588 @p587 @p586 @p585) :args ((or @t421 @t420 @t419 @t418 (not @t260) @t416 @t413 @t408 @t406 @t405))) 121.96/122.20 (assume-push @p1142 @t263) 121.96/122.20 (assume-push @p1143 @t415) 121.96/122.20 (assume-push @p1144 @t404) 121.96/122.20 (assume-push @p1145 @t266) 121.96/122.20 (assume-push @p1146 @t226) 121.96/122.20 (assume-push @p1147 @t275) 121.96/122.20 (assume-push @p1148 @t407) 121.96/122.20 (assume-push @p1149 @t417) 121.96/122.20 (assume-push @p1150 @t412) 121.96/122.20 (assume-push @p1151 @t260) 121.96/122.20 (step @p606 :rule evaluate :args (@t422)) 121.96/122.20 (step @p607 :rule true_intro :premises (@p1142)) 121.96/122.20 (step @p608 :rule symm :premises (@p275)) 121.96/122.20 (step @p609 :rule symm :premises (@p236)) 121.96/122.20 (step @p610 :rule refl :args (@t283)) 121.96/122.20 (step @p611 :rule cong :premises (@p610 @p609) :args (@t329)) 121.96/122.20 (step @p612 :rule cong :premises (@p573 @p611) :args (@t330)) 121.96/122.20 (step @p385 :rule instantiate :premises (@p380) :args (@t333)) 121.96/122.20 (step @p613 :rule true_intro :premises (@p1147)) 121.96/122.20 (step @p614 :rule symm :premises (@p613)) 121.96/122.20 (step @p615 :rule trans :premises (@p180 @p614)) 121.96/122.20 (step @p616 :rule cong :premises (@p565 @p615) :args (@t398)) 121.96/122.20 (step @p617 :rule true_intro :premises (@p1146)) 121.96/122.20 (step @p618 :rule trans :premises (@p617 @p564)) 121.96/122.20 (step @p619 :rule cong :premises (@p565 @p618) :args (@t423)) 121.96/122.20 (step @p620 :rule trans :premises (@p619 @p616)) 121.96/122.20 (step @p621 :rule cong :premises (@p567 @p620) :args (@t424)) 121.96/122.20 (step @p622 :rule symm :premises (@p619)) 121.96/122.20 (step @p623 :rule cong :premises (@p567 @p622) :args (@t399)) 121.96/122.20 (step @p624 :rule trans :premises (@p623 @p621)) 121.96/122.20 (step @p625 :rule cong :premises (@p569 @p624) :args (@t400)) 121.96/122.20 (step @p626 :rule cong :premises (@p625 @p563) :args (@t401)) 121.96/122.20 (step @p627 :rule cong :premises (@p626 @p562) :args (@t402)) 121.96/122.20 (step @p628 :rule cong :premises (@p573 @p627) :args (@t403)) 121.96/122.20 (step @p629 :rule trans :premises (@p584 @p628 @p385 @p612)) 121.96/122.20 (step @p630 :rule refl :args (@t289)) 121.96/122.20 (step @p631 :rule cong :premises (@p630 @p629) :args (@t414)) 121.96/122.20 (step @p632 :rule trans :premises (@p274 @p631 @p608)) 121.96/122.20 (step @p633 :rule symm :premises (@p632)) 121.96/122.20 (step @p634 :rule refl :args (@t216)) 121.96/122.20 (step @p635 :rule cong :premises (@p634 @p633) :args (@t238)) 121.96/122.20 (step @p636 :rule cong :premises (@p635 @p632) :args (@t259)) 121.96/122.20 (step @p637 :rule false_intro :premises (@p1151)) 121.96/122.20 (step @p638 :rule symm :premises (@p637)) 121.96/122.20 (step @p639 :rule trans :premises (@p638 @p636 @p607)) 121.96/122.20 (step @p640 false :rule eq_resolve :premises (@p639 @p606)) 121.96/122.20 (step-pop @p1151 :rule scope :premises (@p640)) 121.96/122.20 (step-pop @p1152 :rule scope :premises (@p1151)) 121.96/122.20 (step-pop @p1153 :rule scope :premises (@p1152)) 121.96/122.20 (step-pop @p1154 :rule scope :premises (@p1153)) 121.96/122.20 (step-pop @p1155 :rule scope :premises (@p1154)) 121.96/122.20 (step-pop @p1156 :rule scope :premises (@p1155)) 121.96/122.20 (step-pop @p1157 :rule scope :premises (@p1156)) 121.96/122.20 (step-pop @p1158 :rule scope :premises (@p1157)) 121.96/122.20 (step-pop @p1159 :rule scope :premises (@p1158)) 121.96/122.20 (step-pop @p1160 :rule scope :premises (@p1159)) 121.96/122.20 (step @p641 :rule process_scope :premises (@p1160) :args (false)) 121.96/122.20 (assume-push @p1162 @t266) 121.96/122.20 (assume-push @p1163 @t226) 121.96/122.20 (assume-push @p1164 @t275) 121.96/122.20 (assume-push @p1165 @t417) 121.96/122.20 (assume-push @p1166 @t260) 121.96/122.20 (assume-push @p1167 @t415) 121.96/122.20 (assume-push @p1168 @t412) 121.96/122.20 (assume-push @p1169 @t407) 121.96/122.20 (assume-push @p1170 @t263) 121.96/122.20 (assume-push @p1171 @t404) 121.96/122.20 (step @p662 :rule and_intro :premises (@p1170 @p274 @p584 @p181 @p1163 @p1164 @p390 @p236 @p275 @p1166)) 121.96/122.20 (step-pop @p1171 :rule scope :premises (@p662)) 121.96/122.20 (step-pop @p1172 :rule scope :premises (@p1171)) 121.96/122.20 (step-pop @p1173 :rule scope :premises (@p1172)) 121.96/122.20 (step-pop @p1174 :rule scope :premises (@p1173)) 121.96/122.20 (step-pop @p1175 :rule scope :premises (@p1174)) 121.96/122.20 (step-pop @p1176 :rule scope :premises (@p1175)) 121.96/122.20 (step-pop @p1177 :rule scope :premises (@p1176)) 121.96/122.20 (step-pop @p1178 :rule scope :premises (@p1177)) 121.96/122.20 (step-pop @p1179 :rule scope :premises (@p1178)) 121.96/122.20 (step-pop @p1180 :rule scope :premises (@p1179)) 121.96/122.20 (step @p663 :rule process_scope :premises (@p1180) :args (@t425)) 121.96/122.20 (step @p674 :rule implies_elim :premises (@p663)) 121.96/122.20 (step @p675 :rule resolution :premises (@p674 @p641) :args (true @t425)) 121.96/122.20 (step @p676 :rule not_and :premises (@p675)) 121.96/122.20 (step @p677 :rule eq_resolve :premises (@p676 @p595)) 121.96/122.20 (step @p678 :rule reordering :premises (@p677) :args ((or @t421 @t420 @t418 @t419 @t259 @t416 @t413 @t408 @t406 @t405))) 121.96/122.20 (step @p679 :rule bool-eq-false :args (@t426)) 121.96/122.20 (step @p680 :rule skolem_intro :args (@t426)) 121.96/122.20 (step @p681 :rule eq_resolve :premises (@p680 @p679)) 121.96/122.20 (step @p682 :rule instantiate :premises (@p273) :args ((@list @t223))) 121.96/122.20 (step @p683 :rule aci_norm :args ((= @t428 @t427))) 121.96/122.20 (step @p684 :rule refl :args (@t255)) 121.96/122.20 (step @p685 :rule cong :premises (@p684 @p683) :args ((=> @t255 @t428))) 121.96/122.20 (assume-push @p1182 @t255) 121.96/122.20 (step @p687 :rule instantiate :premises (@p169) :args ((@list @t237 @t237))) 121.96/122.20 (step-pop @p1182 :rule scope :premises (@p687)) 121.96/122.20 (step @p688 :rule process_scope :premises (@p1182) :args (@t428)) 121.96/122.20 (step @p690 :rule eq_resolve :premises (@p688 @p685)) 121.96/122.20 (step @p691 :rule implies_elim :premises (@p690)) 121.96/122.20 (step @p692 :rule chain_resolution :premises (@p691 @p169) :args (@t282 (@list @t255))) 121.96/122.20 (step @p693 :rule and_elim :premises (@p560) :args (1)) 121.96/122.20 (step @p694 :rule evaluate :args ((not false))) 121.96/122.20 (step @p695 :rule cong :premises (@p680) :args (@t429)) 121.96/122.20 (step @p696 :rule bool-eq-false :args (@t426)) 121.96/122.20 (step @p697 :rule eq-symm :args (false @t426)) 121.96/122.20 (step @p698 :rule trans :premises (@p697 @p696)) 121.96/122.20 (step @p699 :rule trans :premises (@p698 @p695 @p694)) 121.96/122.20 (step @p700 :rule true_elim :premises (@p699)) 121.96/122.20 (step @p701 :rule cong :premises (@p565 @p700) :args (@t339)) 121.96/122.20 (step @p702 :rule cong :premises (@p567 @p701) :args (@t340)) 121.96/122.20 (step @p703 :rule cong :premises (@p569 @p702) :args (@t341)) 121.96/122.20 (step @p704 :rule cong :premises (@p703 @p563) :args (@t430)) 121.96/122.20 (step @p705 :rule cong :premises (@p704 @p562) :args (@t431)) 121.96/122.20 (step @p706 :rule cong :premises (@p573 @p705) :args (@t432)) 121.96/122.20 (step @p707 :rule cong :premises (@p562 @p706) :args (@t433)) 121.96/122.20 (step @p708 :rule refl :args (@t343)) 121.96/122.20 (step @p709 :rule cong :premises (@p708 @p707) :args ((=> @t343 @t433))) 121.96/122.20 (assume-push @p1184 @t343) 121.96/122.20 (step @p711 :rule instantiate :premises (@p693) :args (@t397)) 121.96/122.20 (step-pop @p1184 :rule scope :premises (@p711)) 121.96/122.20 (step @p712 :rule process_scope :premises (@p1184) :args (@t433)) 121.96/122.20 (step @p714 :rule eq_resolve :premises (@p712 @p709)) 121.96/122.20 (step @p715 :rule implies_elim :premises (@p714)) 121.96/122.20 (step @p716 :rule chain_resolution :premises (@p715 @p693) :args (@t282 (@list @t343))) 121.96/122.20 (step @p717 :rule refl :args (@t441)) 121.96/122.20 (step @p718 :rule refl :args (@t442)) 121.96/122.20 (step @p719 :rule refl :args (@t445)) 121.96/122.20 (step @p720 :rule bool-double-not-elim :args (@t275)) 121.96/122.20 (step @p721 :rule bool-double-not-elim :args (@t241)) 121.96/122.20 (step @p722 :rule bool-double-not-elim :args (@t426)) 121.96/122.20 (step @p723 :rule bool-double-not-elim :args (@t251)) 121.96/122.20 (step @p724 :rule nary_cong :premises (@p723 @p722 @p721 @p591 @p720 @p719 @p588 @p587 @p718 @p717) :args ((or (not @t252) @t448 (not @t447) @t418 @t446 @t445 @t413 @t408 @t442 @t441))) 121.96/122.20 (assume-push @p1186 @t427) 121.96/122.20 (assume-push @p1187 @t412) 121.96/122.20 (assume-push @p1188 @t417) 121.96/122.20 (assume-push @p1189 @t407) 121.96/122.20 (assume-push @p1190 @t419) 121.96/122.20 (assume-push @p1191 @t429) 121.96/122.20 (assume-push @p1192 @t447) 121.96/122.20 (assume-push @p1193 @t440) 121.96/122.20 (assume-push @p1194 @t444) 121.96/122.20 (assume-push @p1195 @t252) 121.96/122.20 (step @p606 :rule evaluate :args (@t422)) 121.96/122.20 (step @p735 :rule true_intro :premises (@p692)) 121.96/122.20 (step @p608 :rule symm :premises (@p275)) 121.96/122.20 (step @p609 :rule symm :premises (@p236)) 121.96/122.20 (step @p610 :rule refl :args (@t283)) 121.96/122.20 (step @p611 :rule cong :premises (@p610 @p609) :args (@t329)) 121.96/122.20 (step @p612 :rule cong :premises (@p573 @p611) :args (@t330)) 121.96/122.20 (step @p385 :rule instantiate :premises (@p380) :args (@t333)) 121.96/122.20 (step @p736 :rule false_intro :premises (@p1190)) 121.96/122.20 (step @p737 :rule symm :premises (@p736)) 121.96/122.20 (step @p738 :rule trans :premises (@p680 @p737)) 121.96/122.20 (step @p739 :rule cong :premises (@p565 @p738) :args (@t434)) 121.96/122.20 (step @p740 :rule false_intro :premises (@p1192)) 121.96/122.20 (step @p741 :rule trans :premises (@p740 @p700)) 121.96/122.20 (step @p742 :rule cong :premises (@p565 @p741) :args (@t449)) 121.96/122.20 (step @p743 :rule trans :premises (@p742 @p739)) 121.96/122.20 (step @p744 :rule cong :premises (@p567 @p743) :args (@t450)) 121.96/122.20 (step @p745 :rule cong :premises (@p569 @p744) :args ((_ @t300 @t299 @t450))) 121.96/122.20 (step @p746 :rule symm :premises (@p742)) 121.96/122.20 (step @p747 :rule cong :premises (@p567 @p746) :args (@t435)) 121.96/122.20 (step @p748 :rule cong :premises (@p569 @p747) :args (@t436)) 121.96/122.20 (step @p749 :rule trans :premises (@p748 @p745)) 121.96/122.20 (step @p750 :rule cong :premises (@p749 @p563) :args (@t437)) 121.96/122.20 (step @p751 :rule cong :premises (@p750 @p562) :args (@t438)) 121.96/122.20 (step @p752 :rule cong :premises (@p573 @p751) :args (@t439)) 121.96/122.20 (step @p753 :rule trans :premises (@p716 @p752 @p385 @p612)) 121.96/122.20 (step @p630 :rule refl :args (@t289)) 121.96/122.20 (step @p754 :rule cong :premises (@p630 @p753) :args (@t443)) 121.96/122.20 (step @p755 :rule trans :premises (@p682 @p754 @p608)) 121.96/122.20 (step @p756 :rule refl :args (@t238)) 121.96/122.20 (step @p757 :rule cong :premises (@p756 @p755) :args (@t251)) 121.96/122.20 (step @p758 :rule false_intro :premises (@p1195)) 121.96/122.20 (step @p759 :rule symm :premises (@p758)) 121.96/122.20 (step @p760 :rule trans :premises (@p759 @p757 @p735)) 121.96/122.20 (step @p761 false :rule eq_resolve :premises (@p760 @p606)) 121.96/122.20 (step-pop @p1195 :rule scope :premises (@p761)) 121.96/122.20 (step-pop @p1196 :rule scope :premises (@p1195)) 121.96/122.20 (step-pop @p1197 :rule scope :premises (@p1196)) 121.96/122.20 (step-pop @p1198 :rule scope :premises (@p1197)) 121.96/122.20 (step-pop @p1199 :rule scope :premises (@p1198)) 121.96/122.20 (step-pop @p1200 :rule scope :premises (@p1199)) 121.96/122.20 (step-pop @p1201 :rule scope :premises (@p1200)) 121.96/122.20 (step-pop @p1202 :rule scope :premises (@p1201)) 121.96/122.20 (step-pop @p1203 :rule scope :premises (@p1202)) 121.96/122.20 (step-pop @p1204 :rule scope :premises (@p1203)) 121.96/122.20 (step @p762 :rule process_scope :premises (@p1204) :args (false)) 121.96/122.20 (assume-push @p1206 @t252) 121.96/122.20 (assume-push @p1207 @t429) 121.96/122.20 (assume-push @p1208 @t447) 121.96/122.20 (assume-push @p1209 @t417) 121.96/122.20 (assume-push @p1210 @t419) 121.96/122.20 (assume-push @p1211 @t444) 121.96/122.20 (assume-push @p1212 @t412) 121.96/122.20 (assume-push @p1213 @t407) 121.96/122.20 (assume-push @p1214 @t427) 121.96/122.20 (assume-push @p1215 @t440) 121.96/122.20 (step @p783 :rule and_intro :premises (@p692 @p275 @p236 @p390 @p1210 @p681 @p1208 @p716 @p682 @p1206)) 121.96/122.20 (step-pop @p1215 :rule scope :premises (@p783)) 121.96/122.20 (step-pop @p1216 :rule scope :premises (@p1215)) 121.96/122.20 (step-pop @p1217 :rule scope :premises (@p1216)) 121.96/122.20 (step-pop @p1218 :rule scope :premises (@p1217)) 121.96/122.20 (step-pop @p1219 :rule scope :premises (@p1218)) 121.96/122.20 (step-pop @p1220 :rule scope :premises (@p1219)) 121.96/122.20 (step-pop @p1221 :rule scope :premises (@p1220)) 121.96/122.20 (step-pop @p1222 :rule scope :premises (@p1221)) 121.96/122.20 (step-pop @p1223 :rule scope :premises (@p1222)) 121.96/122.20 (step-pop @p1224 :rule scope :premises (@p1223)) 121.96/122.20 (step @p784 :rule process_scope :premises (@p1224) :args (@t451)) 121.96/122.20 (step @p795 :rule implies_elim :premises (@p784)) 121.96/122.20 (step @p796 :rule resolution :premises (@p795 @p762) :args (true @t451)) 121.96/122.20 (step @p797 :rule not_and :premises (@p796)) 121.96/122.20 (step @p798 :rule eq_resolve :premises (@p797 @p724)) 121.96/122.20 (step @p799 :rule reordering :premises (@p798) :args ((or @t251 @t426 @t241 @t275 @t418 @t445 @t413 @t408 @t442 @t441))) 121.96/122.20 (step @p800 :rule chain_resolution :premises (@p799 @p716 @p692 @p390 @p275 @p682 @p236 @p681 @p678 @p584 @p390 @p275 @p274 @p236 @p181 @p178 @p176 @p175 @p173 @p172 @p170 @p159 @p157 @p126) :args ((@list false false false false false false true true false false false false false false false false true false false false true false true) (@list @t440 @t427 @t407 @t412 @t444 @t417 @t426 @t275 @t404 @t407 @t412 @t415 @t417 @t266 @t263 @t265 @t259 @t262 @t257 @t258 @t251 @t254 @t241))) 121.96/122.20 (step @p801 :rule factoring :premises (@p800)) 121.96/122.20 (step @p802 :rule chain_resolution :premises (@p801 @p123 @p122 @p82 @p81) :args ((@list true true false false) (@list @t239 @t240 @t230 @t226))) 121.96/122.20 (step @p803 :rule factoring :premises (@p802)) 121.96/122.20 (step @p804 :rule reordering :premises (@p803) :args ((or @t253 @t261))) 121.96/122.20 (step @p805 :rule cnf_and_pos :args (@t230 1)) 121.96/122.20 (step @p806 :rule reordering :premises (@p805) :args ((or @t229 @t452))) 121.96/122.20 (step @p807 :rule skolem_intro :args (@t453)) 121.96/122.20 (step @p808 :rule symm :premises (@p807)) 121.96/122.20 (step @p809 :rule equiv_elim2 :premises (@p808)) 121.96/122.20 (step @p810 :rule instantiate :premises (@p156) :args ((@list @t227 @t223 @t222))) 121.96/122.20 (step @p811 :rule cnf_or_pos :args (@t456)) 121.96/122.20 (step @p812 :rule reordering :premises (@p811) :args ((or @t229 @t253 @t455 (not @t456)))) 121.96/122.20 (step @p813 :rule cnf_equiv_neg1 :args (@t240)) 121.96/122.20 (step @p814 :rule reordering :premises (@p813) :args ((or @t230 @t239 @t240))) 121.96/122.20 (step @p815 :rule instantiate :premises (@p380) :args ((@list @t266 @t227 @t223))) 121.96/122.20 (step @p816 :rule refl :args (@t458)) 121.96/122.20 (step @p817 :rule bool-double-not-elim :args (@t229)) 121.96/122.20 (step @p818 :rule refl :args (@t459)) 121.96/122.20 (step @p819 :rule nary_cong :premises (@p818 @p817 @p594 @p592 @p591 @p589 @p588 @p585 @p816) :args ((or @t459 (not @t261) @t421 @t419 @t418 @t416 @t413 @t405 @t458))) 121.96/122.20 (assume-push @p1226 @t404) 121.96/122.20 (assume-push @p1227 @t412) 121.96/122.20 (assume-push @p1228 @t415) 121.96/122.20 (assume-push @p1229 @t417) 121.96/122.20 (assume-push @p1230 @t275) 121.96/122.20 (assume-push @p1231 @t457) 121.96/122.20 (assume-push @p1232 @t266) 121.96/122.20 (assume-push @p1233 @t261) 121.96/122.20 (assume-push @p1234 @t239) 121.96/122.20 (step @p829 :rule evaluate :args (@t460)) 121.96/122.20 (step @p830 :rule false_intro :premises (@p1233)) 121.96/122.20 (step @p831 :rule refl :args (@t222)) 121.96/122.20 (step @p832 :rule symm :premises (@p274)) 121.96/122.20 (step @p833 :rule symm :premises (@p584)) 121.96/122.20 (step @p834 :rule symm :premises (@p815)) 121.96/122.20 (step @p835 :rule true_intro :premises (@p1230)) 121.96/122.20 (step @p836 :rule trans :premises (@p835 @p564)) 121.96/122.20 (step @p837 :rule cong :premises (@p219 @p836) :args (@t326)) 121.96/122.20 (step @p838 :rule cong :premises (@p837 @p212) :args (@t327)) 121.96/122.20 (step @p839 :rule cong :premises (@p838 @p211) :args (@t328)) 121.96/122.20 (step @p840 :rule trans :premises (@p236 @p839)) 121.96/122.20 (step @p610 :rule refl :args (@t283)) 121.96/122.20 (step @p841 :rule cong :premises (@p610 @p840) :args (@t409)) 121.96/122.20 (step @p842 :rule cong :premises (@p573 @p841) :args (@t410)) 121.96/122.20 (step @p843 :rule trans :premises (@p842 @p834 @p833)) 121.96/122.20 (step @p630 :rule refl :args (@t289)) 121.96/122.20 (step @p844 :rule cong :premises (@p630 @p843) :args (@t411)) 121.96/122.20 (step @p845 :rule trans :premises (@p275 @p844 @p832)) 121.96/122.20 (step @p634 :rule refl :args (@t216)) 121.96/122.20 (step @p846 :rule cong :premises (@p634 @p845) :args (@t238)) 121.96/122.20 (step @p847 :rule cong :premises (@p846 @p831) :args (@t239)) 121.96/122.20 (step @p848 :rule true_intro :premises (@p1234)) 121.96/122.20 (step @p849 :rule symm :premises (@p848)) 121.96/122.20 (step @p850 :rule trans :premises (@p849 @p847 @p830)) 121.96/122.20 (step @p851 false :rule eq_resolve :premises (@p850 @p829)) 121.96/122.20 (step-pop @p1234 :rule scope :premises (@p851)) 121.96/122.20 (step-pop @p1235 :rule scope :premises (@p1234)) 121.96/122.20 (step-pop @p1236 :rule scope :premises (@p1235)) 121.96/122.20 (step-pop @p1237 :rule scope :premises (@p1236)) 121.96/122.20 (step-pop @p1238 :rule scope :premises (@p1237)) 121.96/122.20 (step-pop @p1239 :rule scope :premises (@p1238)) 121.96/122.20 (step-pop @p1240 :rule scope :premises (@p1239)) 121.96/122.20 (step-pop @p1241 :rule scope :premises (@p1240)) 121.96/122.20 (step-pop @p1242 :rule scope :premises (@p1241)) 121.96/122.20 (step @p852 :rule process_scope :premises (@p1242) :args (false)) 121.96/122.20 (assume-push @p1244 @t239) 121.96/122.20 (assume-push @p1245 @t261) 121.96/122.20 (assume-push @p1246 @t266) 121.96/122.20 (assume-push @p1247 @t275) 121.96/122.20 (assume-push @p1248 @t417) 121.96/122.20 (assume-push @p1249 @t415) 121.96/122.20 (assume-push @p1250 @t412) 121.96/122.20 (assume-push @p1251 @t404) 121.96/122.20 (assume-push @p1252 @t457) 121.96/122.20 (step @p871 :rule and_intro :premises (@p584 @p275 @p274 @p236 @p1247 @p815 @p181 @p1245 @p1244)) 121.96/122.20 (step-pop @p1252 :rule scope :premises (@p871)) 121.96/122.20 (step-pop @p1253 :rule scope :premises (@p1252)) 121.96/122.20 (step-pop @p1254 :rule scope :premises (@p1253)) 121.96/122.20 (step-pop @p1255 :rule scope :premises (@p1254)) 121.96/122.20 (step-pop @p1256 :rule scope :premises (@p1255)) 121.96/122.20 (step-pop @p1257 :rule scope :premises (@p1256)) 121.96/122.20 (step-pop @p1258 :rule scope :premises (@p1257)) 121.96/122.20 (step-pop @p1259 :rule scope :premises (@p1258)) 121.96/122.20 (step-pop @p1260 :rule scope :premises (@p1259)) 121.96/122.20 (step @p872 :rule process_scope :premises (@p1260) :args (@t461)) 121.96/122.20 (step @p882 :rule implies_elim :premises (@p872)) 121.96/122.20 (step @p883 :rule resolution :premises (@p882 @p852) :args (true @t461)) 121.96/122.20 (step @p884 :rule not_and :premises (@p883)) 121.96/122.20 (step @p885 :rule eq_resolve :premises (@p884 @p819)) 121.96/122.20 (step @p886 :rule reordering :premises (@p885) :args ((or @t229 @t459 @t421 @t418 @t419 @t416 @t413 @t405 @t458))) 121.96/122.20 (step @p887 :rule equiv_elim1 :premises (@p218)) 121.96/122.20 (step @p888 :rule reordering :premises (@p887) :args ((or @t275 @t462))) 121.96/122.20 (step @p889 :rule bool-double-not-elim :args (@t454)) 121.96/122.20 (step @p890 :rule bool-double-not-elim :args (@t453)) 121.96/122.20 (step @p891 :rule nary_cong :premises (@p722 @p890 @p591 @p720 @p889 @p719 @p588 @p587 @p717 @p586) :args ((or @t448 @t464 @t418 @t446 (not @t455) @t445 @t413 @t408 @t441 @t406))) 121.96/122.20 (assume-push @p1262 @t429) 121.96/122.20 (assume-push @p1263 @t463) 121.96/122.20 (assume-push @p1264 @t417) 121.96/122.20 (assume-push @p1265 @t419) 121.96/122.20 (assume-push @p1266 @t455) 121.96/122.20 (assume-push @p1267 @t444) 121.96/122.20 (assume-push @p1268 @t412) 121.96/122.20 (assume-push @p1269 @t407) 121.96/122.20 (assume-push @p1270 @t440) 121.96/122.20 (assume-push @p1271 @t455) 121.96/122.20 (assume-push @p1272 @t444) 121.96/122.20 (assume-push @p1273 @t440) 121.96/122.20 (assume-push @p1274 @t429) 121.96/122.20 (assume-push @p1275 @t463) 121.96/122.20 (assume-push @p1276 @t419) 121.96/122.20 (assume-push @p1277 @t407) 121.96/122.20 (assume-push @p1278 @t417) 121.96/122.20 (assume-push @p1279 @t412) 121.96/122.20 (step @p910 :rule false_intro :premises (@p1266)) 121.96/122.20 (step @p911 :rule symm :premises (@p682)) 121.96/122.20 (step @p912 :rule symm :premises (@p716)) 121.96/122.20 (step @p913 :rule false_intro :premises (@p1263)) 121.96/122.20 (step @p914 :rule trans :premises (@p913 @p700)) 121.96/122.20 (step @p915 :rule cong :premises (@p565 @p914) :args (@t465)) 121.96/122.20 (step @p916 :rule cong :premises (@p567 @p915) :args (@t466)) 121.96/122.20 (step @p917 :rule cong :premises (@p569 @p916) :args (@t467)) 121.96/122.20 (step @p918 :rule symm :premises (@p915)) 121.96/122.20 (step @p919 :rule false_intro :premises (@p1265)) 121.96/122.20 (step @p920 :rule trans :premises (@p919 @p700)) 121.96/122.20 (step @p921 :rule cong :premises (@p565 @p920) :args (@t320)) 121.96/122.20 (step @p922 :rule trans :premises (@p921 @p918)) 121.96/122.20 (step @p923 :rule cong :premises (@p567 @p922) :args (@t321)) 121.96/122.20 (step @p924 :rule cong :premises (@p569 @p923) :args (@t322)) 121.96/122.20 (step @p925 :rule trans :premises (@p924 @p917)) 121.96/122.20 (step @p926 :rule cong :premises (@p925 @p563) :args (@t323)) 121.96/122.20 (step @p927 :rule cong :premises (@p926 @p562) :args (@t324)) 121.96/122.20 (step @p928 :rule cong :premises (@p573 @p927) :args (@t325)) 121.96/122.20 (step @p610 :rule refl :args (@t283)) 121.96/122.20 (step @p929 :rule cong :premises (@p610 @p236) :args (@t409)) 121.96/122.20 (step @p930 :rule cong :premises (@p573 @p929) :args (@t410)) 121.96/122.20 (step @p931 :rule trans :premises (@p930 @p390 @p928 @p912)) 121.96/122.20 (step @p630 :rule refl :args (@t289)) 121.96/122.20 (step @p932 :rule cong :premises (@p630 @p931) :args (@t411)) 121.96/122.20 (step @p933 :rule trans :premises (@p275 @p932 @p911)) 121.96/122.20 (step @p934 :rule refl :args (@t228)) 121.96/122.20 (step @p935 :rule cong :premises (@p934 @p933) :args (@t263)) 121.96/122.20 (step @p936 :rule trans :premises (@p935 @p910)) 121.96/122.20 (step @p937 :rule false_elim :premises (@p936)) 121.96/122.20 (step-pop @p1279 :rule scope :premises (@p937)) 121.96/122.20 (step-pop @p1280 :rule scope :premises (@p1279)) 121.96/122.20 (step-pop @p1281 :rule scope :premises (@p1280)) 121.96/122.20 (step-pop @p1282 :rule scope :premises (@p1281)) 121.96/122.20 (step-pop @p1283 :rule scope :premises (@p1282)) 121.96/122.20 (step-pop @p1284 :rule scope :premises (@p1283)) 121.96/122.20 (step-pop @p1285 :rule scope :premises (@p1284)) 121.96/122.20 (step-pop @p1286 :rule scope :premises (@p1285)) 121.96/122.20 (step-pop @p1287 :rule scope :premises (@p1286)) 121.96/122.20 (step @p938 :rule process_scope :premises (@p1287) :args (@t406)) 121.96/122.20 (step @p948 :rule and_intro :premises (@p1266 @p682 @p716 @p681 @p1263 @p1265 @p390 @p236 @p275)) 121.96/122.20 (step @p949 :rule modus_ponens :premises (@p948 @p938)) 121.96/122.20 (step-pop @p1288 :rule scope :premises (@p949)) 121.96/122.20 (step-pop @p1289 :rule scope :premises (@p1288)) 121.96/122.20 (step-pop @p1290 :rule scope :premises (@p1289)) 121.96/122.20 (step-pop @p1291 :rule scope :premises (@p1290)) 121.96/122.20 (step-pop @p1292 :rule scope :premises (@p1291)) 121.96/122.20 (step-pop @p1293 :rule scope :premises (@p1292)) 121.96/122.20 (step-pop @p1294 :rule scope :premises (@p1293)) 121.96/122.20 (step-pop @p1295 :rule scope :premises (@p1294)) 121.96/122.20 (step-pop @p1296 :rule scope :premises (@p1295)) 121.96/122.20 (step @p950 :rule process_scope :premises (@p1296) :args (@t406)) 121.96/122.20 (step @p960 :rule implies_elim :premises (@p950)) 121.96/122.20 (step @p961 :rule cnf_and_neg :args (@t468)) 121.96/122.20 (step @p962 :rule resolution :premises (@p961 @p960) :args (true @t468)) 121.96/122.20 (step @p963 :rule eq_resolve :premises (@p962 @p891)) 121.96/122.20 (step @p964 :rule reordering :premises (@p963) :args ((or @t426 @t453 @t275 @t418 @t454 @t445 @t413 @t408 @t406 @t441))) 121.96/122.20 (step @p965 :rule refl :args (@t260)) 121.96/122.20 (step @p966 :rule bool-double-not-elim :args (@t274)) 121.96/122.20 (step @p967 :rule nary_cong :premises (@p722 @p890 @p591 @p966 @p720 @p719 @p588 @p587 @p717 @p965) :args ((or @t448 @t464 @t418 (not @t462) @t446 @t445 @t413 @t408 @t441 @t260))) 121.96/122.20 (assume-push @p1298 @t429) 121.96/122.20 (assume-push @p1299 @t463) 121.96/122.20 (assume-push @p1300 @t417) 121.96/122.20 (assume-push @p1301 @t462) 121.96/122.20 (assume-push @p1302 @t419) 121.96/122.20 (assume-push @p1303 @t444) 121.96/122.20 (assume-push @p1304 @t412) 121.96/122.20 (assume-push @p1305 @t407) 121.96/122.20 (assume-push @p1306 @t440) 121.96/122.20 (assume-push @p1307 @t462) 121.96/122.20 (assume-push @p1308 @t444) 121.96/122.20 (assume-push @p1309 @t440) 121.96/122.20 (assume-push @p1310 @t429) 121.96/122.20 (assume-push @p1311 @t463) 121.96/122.20 (assume-push @p1312 @t419) 121.96/122.20 (assume-push @p1313 @t407) 121.96/122.20 (assume-push @p1314 @t417) 121.96/122.20 (assume-push @p1315 @t412) 121.96/122.20 (step @p986 :rule false_intro :premises (@p1301)) 121.96/122.20 (step @p911 :rule symm :premises (@p682)) 121.96/122.20 (step @p912 :rule symm :premises (@p716)) 121.96/122.20 (step @p987 :rule false_intro :premises (@p1299)) 121.96/122.20 (step @p988 :rule trans :premises (@p987 @p700)) 121.96/122.20 (step @p989 :rule cong :premises (@p565 @p988) :args (@t465)) 121.96/122.20 (step @p990 :rule cong :premises (@p567 @p989) :args (@t466)) 121.96/122.20 (step @p991 :rule cong :premises (@p569 @p990) :args (@t467)) 121.96/122.20 (step @p992 :rule symm :premises (@p989)) 121.96/122.20 (step @p993 :rule false_intro :premises (@p1302)) 121.96/122.20 (step @p994 :rule trans :premises (@p993 @p700)) 121.96/122.20 (step @p995 :rule cong :premises (@p565 @p994) :args (@t320)) 121.96/122.20 (step @p996 :rule trans :premises (@p995 @p992)) 121.96/122.20 (step @p997 :rule cong :premises (@p567 @p996) :args (@t321)) 121.96/122.20 (step @p998 :rule cong :premises (@p569 @p997) :args (@t322)) 121.96/122.20 (step @p999 :rule trans :premises (@p998 @p991)) 121.96/122.20 (step @p1000 :rule cong :premises (@p999 @p563) :args (@t323)) 121.96/122.20 (step @p1001 :rule cong :premises (@p1000 @p562) :args (@t324)) 121.96/122.20 (step @p1002 :rule cong :premises (@p573 @p1001) :args (@t325)) 121.96/122.20 (step @p610 :rule refl :args (@t283)) 121.96/122.20 (step @p929 :rule cong :premises (@p610 @p236) :args (@t409)) 121.96/122.20 (step @p930 :rule cong :premises (@p573 @p929) :args (@t410)) 121.96/122.20 (step @p1003 :rule trans :premises (@p930 @p390 @p1002 @p912)) 121.96/122.20 (step @p630 :rule refl :args (@t289)) 121.96/122.20 (step @p1004 :rule cong :premises (@p630 @p1003) :args (@t411)) 121.96/122.20 (step @p1005 :rule trans :premises (@p275 @p1004 @p911)) 121.96/122.20 (step @p634 :rule refl :args (@t216)) 121.96/122.20 (step @p1006 :rule cong :premises (@p634 @p1005) :args (@t238)) 121.96/122.20 (step @p1007 :rule cong :premises (@p1006 @p212) :args (@t259)) 121.96/122.20 (step @p1008 :rule trans :premises (@p1007 @p986)) 121.96/122.20 (step @p1009 :rule false_elim :premises (@p1008)) 121.96/122.20 (step-pop @p1315 :rule scope :premises (@p1009)) 121.96/122.20 (step-pop @p1316 :rule scope :premises (@p1315)) 121.96/122.20 (step-pop @p1317 :rule scope :premises (@p1316)) 121.96/122.20 (step-pop @p1318 :rule scope :premises (@p1317)) 121.96/122.20 (step-pop @p1319 :rule scope :premises (@p1318)) 121.96/122.20 (step-pop @p1320 :rule scope :premises (@p1319)) 121.96/122.20 (step-pop @p1321 :rule scope :premises (@p1320)) 121.96/122.20 (step-pop @p1322 :rule scope :premises (@p1321)) 121.96/122.20 (step-pop @p1323 :rule scope :premises (@p1322)) 121.96/122.20 (step @p1010 :rule process_scope :premises (@p1323) :args (@t260)) 121.96/122.20 (step @p1020 :rule and_intro :premises (@p1301 @p682 @p716 @p681 @p1299 @p1302 @p390 @p236 @p275)) 121.96/122.20 (step @p1021 :rule modus_ponens :premises (@p1020 @p1010)) 121.96/122.20 (step-pop @p1324 :rule scope :premises (@p1021)) 121.96/122.20 (step-pop @p1325 :rule scope :premises (@p1324)) 121.96/122.20 (step-pop @p1326 :rule scope :premises (@p1325)) 121.96/122.20 (step-pop @p1327 :rule scope :premises (@p1326)) 121.96/122.20 (step-pop @p1328 :rule scope :premises (@p1327)) 121.96/122.20 (step-pop @p1329 :rule scope :premises (@p1328)) 121.96/122.20 (step-pop @p1330 :rule scope :premises (@p1329)) 121.96/122.20 (step-pop @p1331 :rule scope :premises (@p1330)) 121.96/122.20 (step-pop @p1332 :rule scope :premises (@p1331)) 121.96/122.20 (step @p1022 :rule process_scope :premises (@p1332) :args (@t260)) 121.96/122.20 (step @p1032 :rule implies_elim :premises (@p1022)) 121.96/122.20 (step @p1033 :rule cnf_and_neg :args (@t469)) 121.96/122.20 (step @p1034 :rule resolution :premises (@p1033 @p1032) :args (true @t469)) 121.96/122.20 (step @p1035 :rule eq_resolve :premises (@p1034 @p967)) 121.96/122.20 (step @p1036 :rule reordering :premises (@p1035) :args ((or @t274 @t426 @t453 @t275 @t418 @t260 @t445 @t413 @t408 @t441))) 121.96/122.20 (step @p1037 :rule instantiate :premises (@p169) :args ((@list @t227 @t237))) 121.96/122.20 (step @p1038 :rule cnf_or_pos :args (@t470)) 121.96/122.20 (step @p1039 :rule reordering :premises (@p1038) :args ((or @t259 @t263 (not @t470)))) 121.96/122.20 (step @p1040 :rule chain_resolution :premises (@p1039 @p1037 @p1036 @p716 @p390 @p275 @p682 @p236 @p681 @p964 @p716 @p390 @p275 @p682 @p236 @p681 @p888) :args ((@list false true false false false false false true true false false false false false true true) (@list @t470 @t259 @t440 @t407 @t412 @t444 @t417 @t426 @t263 @t440 @t407 @t412 @t444 @t417 @t426 @t274))) 121.96/122.20 (step @p1041 :rule factoring :premises (@p1040)) 121.96/122.20 (step @p1042 :rule chain_resolution :premises (@p1041 @p886 @p815 @p584 @p275 @p274 @p236 @p181 @p814 @p122 @p812 @p810 @p809 @p806) :args ((@list true false false false false false false false true true false true true) (@list @t275 @t457 @t404 @t412 @t415 @t417 @t266 @t239 @t240 @t454 @t456 @t453 @t230))) 121.96/122.20 (step @p1043 :rule factoring :premises (@p1042)) 121.96/122.20 (step @p1044 :rule chain_resolution :premises (@p1043 @p804) :args (@t471 (@list @t229))) 121.96/122.20 (step @p1045 :rule factoring :premises (@p1044)) 121.96/122.20 (step @p1046 :rule instantiate :premises (@p156) :args ((@list @t223 @t227 @t222))) 121.96/122.20 (step @p1047 :rule equiv_elim2 :premises (@p80)) 121.96/122.20 (step @p1048 :rule chain_resolution :premises (@p1047 @p1045) :args (@t471 @t472)) 121.96/122.20 (step @p1049 :rule cnf_and_pos :args (@t230 0)) 121.96/122.20 (step @p1050 :rule reordering :premises (@p1049) :args ((or @t225 @t452))) 121.96/122.20 (step @p1051 :rule chain_resolution :premises (@p1050 @p1045) :args (@t471 @t472)) 121.96/122.20 (step @p1052 :rule chain_resolution :premises (@p814 @p1051 @p122) :args ((@list true true) (@list @t230 @t240))) 121.96/122.20 (step @p1053 :rule bool-double-not-elim :args (@t226)) 121.96/122.20 (step @p1054 :rule bool-double-not-elim :args (@t225)) 121.96/122.20 (step @p1055 :rule nary_cong :premises (@p818 @p1054 @p722 @p1053 @p591 @p720 @p719 @p588 @p587 @p717) :args ((or @t459 (not @t253) @t448 (not @t420) @t418 @t446 @t445 @t413 @t408 @t441))) 121.96/122.20 (assume-push @p1334 @t253) 121.96/122.20 (assume-push @p1335 @t444) 121.96/122.20 (assume-push @p1336 @t440) 121.96/122.20 (assume-push @p1337 @t429) 121.96/122.20 (assume-push @p1338 @t420) 121.96/122.20 (assume-push @p1339 @t419) 121.96/122.20 (assume-push @p1340 @t407) 121.96/122.20 (assume-push @p1341 @t417) 121.96/122.20 (assume-push @p1342 @t412) 121.96/122.20 (assume-push @p1343 @t239) 121.96/122.20 (step @p829 :rule evaluate :args (@t460)) 121.96/122.20 (step @p1066 :rule false_intro :premises (@p1334)) 121.96/122.20 (step @p831 :rule refl :args (@t222)) 121.96/122.20 (step @p911 :rule symm :premises (@p682)) 121.96/122.20 (step @p912 :rule symm :premises (@p716)) 121.96/122.20 (step @p1067 :rule false_intro :premises (@p1338)) 121.96/122.20 (step @p1068 :rule trans :premises (@p1067 @p700)) 121.96/122.20 (step @p1069 :rule cong :premises (@p565 @p1068) :args (@t423)) 121.96/122.20 (step @p1070 :rule cong :premises (@p567 @p1069) :args (@t424)) 121.96/122.20 (step @p1071 :rule symm :premises (@p1069)) 121.96/122.20 (step @p1072 :rule false_intro :premises (@p1339)) 121.96/122.20 (step @p1073 :rule trans :premises (@p1072 @p700)) 121.96/122.20 (step @p1074 :rule cong :premises (@p565 @p1073) :args (@t320)) 121.96/122.20 (step @p1075 :rule trans :premises (@p1074 @p1071)) 121.96/122.20 (step @p1076 :rule cong :premises (@p567 @p1075) :args (@t321)) 121.96/122.20 (step @p1077 :rule trans :premises (@p1076 @p1070)) 121.96/122.20 (step @p1078 :rule cong :premises (@p569 @p1077) :args (@t322)) 121.96/122.20 (step @p1079 :rule cong :premises (@p1078 @p563) :args (@t323)) 121.96/122.20 (step @p1080 :rule cong :premises (@p1079 @p562) :args (@t324)) 121.96/122.20 (step @p1081 :rule cong :premises (@p573 @p1080) :args (@t325)) 121.96/122.20 (step @p610 :rule refl :args (@t283)) 121.96/122.20 (step @p929 :rule cong :premises (@p610 @p236) :args (@t409)) 121.96/122.20 (step @p930 :rule cong :premises (@p573 @p929) :args (@t410)) 121.96/122.20 (step @p1082 :rule trans :premises (@p930 @p390 @p1081 @p912)) 121.96/122.20 (step @p630 :rule refl :args (@t289)) 121.96/122.20 (step @p1083 :rule cong :premises (@p630 @p1082) :args (@t411)) 121.96/122.20 (step @p1084 :rule trans :premises (@p275 @p1083 @p911)) 121.96/122.20 (step @p634 :rule refl :args (@t216)) 121.96/122.20 (step @p1085 :rule cong :premises (@p634 @p1084) :args (@t238)) 121.96/122.20 (step @p1086 :rule cong :premises (@p1085 @p831) :args (@t239)) 121.96/122.20 (step @p1087 :rule true_intro :premises (@p1343)) 121.96/122.20 (step @p1088 :rule symm :premises (@p1087)) 121.96/122.20 (step @p1089 :rule trans :premises (@p1088 @p1086 @p1066)) 121.96/122.20 (step @p1090 false :rule eq_resolve :premises (@p1089 @p829)) 121.96/122.20 (step-pop @p1343 :rule scope :premises (@p1090)) 121.96/122.20 (step-pop @p1344 :rule scope :premises (@p1343)) 121.96/122.20 (step-pop @p1345 :rule scope :premises (@p1344)) 121.96/122.20 (step-pop @p1346 :rule scope :premises (@p1345)) 121.96/122.20 (step-pop @p1347 :rule scope :premises (@p1346)) 121.96/122.20 (step-pop @p1348 :rule scope :premises (@p1347)) 121.96/122.20 (step-pop @p1349 :rule scope :premises (@p1348)) 121.96/122.20 (step-pop @p1350 :rule scope :premises (@p1349)) 121.96/122.20 (step-pop @p1351 :rule scope :premises (@p1350)) 121.96/122.20 (step-pop @p1352 :rule scope :premises (@p1351)) 121.96/122.20 (step @p1091 :rule process_scope :premises (@p1352) :args (false)) 121.96/122.20 (assume-push @p1354 @t239) 121.96/122.20 (assume-push @p1355 @t253) 121.96/122.20 (assume-push @p1356 @t429) 121.96/122.20 (assume-push @p1357 @t420) 121.96/122.20 (assume-push @p1358 @t417) 121.96/122.20 (assume-push @p1359 @t419) 121.96/122.20 (assume-push @p1360 @t444) 121.96/122.20 (assume-push @p1361 @t412) 121.96/122.20 (assume-push @p1362 @t407) 121.96/122.20 (assume-push @p1363 @t440) 121.96/122.20 (step @p1112 :rule and_intro :premises (@p1355 @p682 @p716 @p681 @p1357 @p1359 @p390 @p236 @p275 @p1354)) 121.96/122.20 (step-pop @p1363 :rule scope :premises (@p1112)) 121.96/122.20 (step-pop @p1364 :rule scope :premises (@p1363)) 121.96/122.20 (step-pop @p1365 :rule scope :premises (@p1364)) 121.96/122.20 (step-pop @p1366 :rule scope :premises (@p1365)) 121.96/122.20 (step-pop @p1367 :rule scope :premises (@p1366)) 121.96/122.20 (step-pop @p1368 :rule scope :premises (@p1367)) 121.96/122.20 (step-pop @p1369 :rule scope :premises (@p1368)) 121.96/122.20 (step-pop @p1370 :rule scope :premises (@p1369)) 121.96/122.20 (step-pop @p1371 :rule scope :premises (@p1370)) 121.96/122.20 (step-pop @p1372 :rule scope :premises (@p1371)) 121.96/122.20 (step @p1113 :rule process_scope :premises (@p1372) :args (@t473)) 121.96/122.20 (step @p1124 :rule implies_elim :premises (@p1113)) 121.96/122.20 (step @p1125 :rule resolution :premises (@p1124 @p1091) :args (true @t473)) 121.96/122.20 (step @p1126 :rule not_and :premises (@p1125)) 121.96/122.20 (step @p1127 :rule eq_resolve :premises (@p1126 @p1055)) 121.96/122.20 (step @p1128 :rule reordering :premises (@p1127) :args ((or @t225 @t459 @t426 @t226 @t275 @t418 @t445 @t413 @t408 @t441))) 121.96/122.20 (step @p1129 :rule chain_resolution :premises (@p1128 @p1045 @p1052 @p681 @p1048 @p236 @p682 @p275 @p390 @p716) :args ((@list true false true true false false false false false) (@list @t225 @t239 @t426 @t226 @t417 @t444 @t412 @t407 @t440))) 121.96/122.20 (step @p1130 :rule equiv_elim2 :premises (@p218)) 121.96/122.20 (step @p1131 :rule chain_resolution :premises (@p1130 @p1129) :args (@t282 (@list @t275))) 121.96/122.20 (step @p1132 :rule chain_resolution :premises (@p886 @p1052 @p181 @p236 @p1129 @p274 @p275 @p584 @p815) :args ((@list false false false false false false false false) (@list @t239 @t266 @t417 @t275 @t415 @t412 @t404 @t457))) 121.96/122.20 (step @p1133 :rule cnf_or_pos :args (@t474)) 121.96/122.20 (step @p1134 :rule reordering :premises (@p1133) :args ((or @t225 @t261 @t462 (not @t474)))) 121.96/122.20 (step @p1135 false :rule chain_resolution :premises (@p1134 @p1132 @p1131 @p1046 @p1045) :args ((@list false false false true) (@list @t229 @t274 @t474 @t225))) 121.96/122.20 ) 121.96/122.20 % SZS output end Proof 121.96/122.20 % cvc5 exiting 121.96/122.20 EOF