%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP015+1 : TPTP v9.2.1. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n003.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:24:37 AM UTC 2026 % Result : Theorem 0.36s 0.73s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP015+1 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n003.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 03:53:14 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.73 % SZS status Theorem % 0.36/0.73 % SZS output start Proof % 0.36/0.73 ( % 0.36/0.73 (declare-sort $$unsorted 0) % 0.36/0.73 (declare-const tptp.c_2Ebool_2ECOND_2E0 $$unsorted) % 0.36/0.73 (declare-const tptp.c_2Einteger_2Eint__lt_2E0 $$unsorted) % 0.36/0.73 (declare-const tptp.c_2Earithmetic_2EMOD_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.73 (declare-const tptp.c_2Earithmetic_2EMOD_2E0 $$unsorted) % 0.36/0.73 (declare-const tptp.c_2Eprim__rec_2E_3C_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.73 (declare-const tptp.c_2Eprim__rec_2E_3C_2E0 $$unsorted) % 0.36/0.73 (declare-const tptp.c_2Ewords_2En2w_2E1 (-> $$unsorted $$unsorted)) % 0.36/0.73 (declare-const tptp.c_2Einteger__word_2Ei2w_2E1 (-> $$unsorted $$unsorted)) % 0.36/0.73 (declare-const tptp.tyop_2Efcp_2Ecart (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.73 (declare-const tptp.c_2Einteger_2Eint__of__num_2E1 (-> $$unsorted $$unsorted)) % 0.36/0.73 (declare-const tptp.combin_s_2E0 $$unsorted) % 0.36/0.73 (declare-const tptp.c_2Enum_2E0_2E0 $$unsorted) % 0.36/0.73 (declare-const tptp.c_2Ewords_2Eword__2comp_2E0 $$unsorted) % 0.36/0.73 (declare-const tptp.combin_k_2E0 $$unsorted) % 0.36/0.73 (declare-const tptp.c_2Einteger_2ENum_2E0 $$unsorted) % 0.36/0.73 (declare-const tptp.tyop_2Enum_2Enum $$unsorted) % 0.36/0.73 (declare-const tptp.c_2Ewords_2En2w_2E0 $$unsorted) % 0.36/0.73 (declare-const tptp.combin_i_2E0 $$unsorted) % 0.36/0.73 (declare-const tptp.p (-> $$unsorted Bool)) % 0.36/0.73 (declare-const tptp.tyop_2Emin_2Ebool $$unsorted) % 0.36/0.73 (declare-const tptp.c_2Ebool_2Ethe__value_2E0 $$unsorted) % 0.36/0.73 (declare-const tptp.c_2Emin_2E_3D_3D_3E_2E0 $$unsorted) % 0.36/0.73 (declare-const tptp.c_2Einteger_2Eint__lt_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.73 (declare-const tptp.c_2Ebool_2E_7E_2E1 (-> $$unsorted $$unsorted)) % 0.36/0.73 (declare-const tptp.c_2Ewords_2Edimword_2E1 (-> $$unsorted $$unsorted)) % 0.36/0.73 (declare-const tptp.c_2Einteger_2Eint__neg_2E1 (-> $$unsorted $$unsorted)) % 0.36/0.73 (declare-const tptp.c_2Ebool_2EF_2E0 $$unsorted) % 0.36/0.73 (declare-const tptp.s (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.73 (declare-const tptp.c_2Ebool_2E_3F_2E1 (-> $$unsorted $$unsorted)) % 0.36/0.73 (declare-const tptp.c_2Ebool_2ET_2E0 $$unsorted) % 0.36/0.73 (declare-const tptp.c_2Ebool_2E_2F_5C_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.73 (declare-const tptp.tyop_2Einteger_2Eint $$unsorted) % 0.36/0.73 (declare-const tptp.tyop_2Ebool_2Eitself (-> $$unsorted $$unsorted)) % 0.36/0.73 (declare-const tptp.tyop_2Emin_2Efun (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.73 (declare-const tptp.c_2Ebool_2ECOND_2E3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.73 (declare-const tptp.c_2Emin_2E_3D_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.73 (declare-const tptp.c_2Einteger_2ENum_2E1 (-> $$unsorted $$unsorted)) % 0.36/0.73 (declare-const tptp.c_2Einteger_2Eint__of__num_2E0 $$unsorted) % 0.36/0.73 (declare-const tptp.c_2Ebool_2E_21_2E1 (-> $$unsorted $$unsorted)) % 0.36/0.73 (declare-const tptp.c_2Ewords_2Edimword_2E0 $$unsorted) % 0.36/0.73 (declare-const tptp.c_2Einteger_2Eint__neg_2E0 $$unsorted) % 0.36/0.73 (declare-const tptp.app_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.73 (declare-const tptp.c_2Ebool_2E_2F_5C_2E0 $$unsorted) % 0.36/0.73 (declare-const tptp.c_2Ebool_2E_7E_2E0 $$unsorted) % 0.36/0.73 (declare-const tptp.c_2Ewords_2Eword__2comp_2E1 (-> $$unsorted $$unsorted)) % 0.36/0.73 (declare-const tptp.c_2Emin_2E_3D_3D_3E_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.73 (declare-const tptp.c_2Ebool_2E_5C_2F_2E0 $$unsorted) % 0.36/0.73 (declare-const tptp.c_2Einteger__word_2Ei2w_2E0 $$unsorted) % 0.36/0.73 (declare-const tptp.c_2Emin_2E_3D_2E0 $$unsorted) % 0.36/0.73 (declare-const tptp.c_2Ebool_2E_5C_2F_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.73 (declare-const tptp.c_2Ebool_2E_21_2E0 $$unsorted) % 0.36/0.73 (declare-const tptp.c_2Ebool_2E_3F_2E0 $$unsorted) % 0.36/0.73 (define @t1 () (@var "V1g_2E0" $$unsorted)) % 0.36/0.73 (define @t2 () (@var "A_27b" $$unsorted)) % 0.36/0.73 (define @t3 () (@var "A_27a" $$unsorted)) % 0.36/0.73 (define @t4 () (tptp.tyop_2Emin_2Efun @t3 @t2)) % 0.36/0.73 (define @t5 () (tptp.s @t4 @t1)) % 0.36/0.73 (define @t6 () (@var "V0f_2E0" $$unsorted)) % 0.36/0.73 (define @t7 () (tptp.s @t4 @t6)) % 0.36/0.73 (define @t8 () (@var "V2x_2E0" $$unsorted)) % 0.36/0.73 (define @t9 () (tptp.s @t3 @t8)) % 0.36/0.73 (define @t10 () (tptp.s @t2 (tptp.app_2E2 @t5 @t9))) % 0.36/0.73 (define @t11 () (@var "V1_2E0" $$unsorted)) % 0.36/0.73 (define @t12 () (tptp.s tptp.tyop_2Emin_2Ebool @t11)) % 0.36/0.73 (define @t13 () (@var "V0_2E0" $$unsorted)) % 0.36/0.73 (define @t14 () (tptp.s tptp.tyop_2Emin_2Ebool @t13)) % 0.36/0.73 (define @t15 () (tptp.p @t12)) % 0.36/0.73 (define @t16 () (tptp.p @t14)) % 0.36/0.73 (define @t17 () (@list @t13 @t11)) % 0.36/0.73 (define @t18 () (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0)) % 0.36/0.73 (define @t19 () (tptp.p @t18)) % 0.36/0.73 (define @t20 () (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0)) % 0.36/0.73 (define @t21 () (tptp.p @t20)) % 0.36/0.73 (define @t22 () (@var "V0t_2E0" $$unsorted)) % 0.36/0.73 (define @t23 () (tptp.s tptp.tyop_2Emin_2Ebool @t22)) % 0.36/0.73 (define @t24 () (@list @t22)) % 0.36/0.73 (define @t25 () (@var "V0x_2E0" $$unsorted)) % 0.36/0.73 (define @t26 () (tptp.s @t3 @t25)) % 0.36/0.73 (define @t27 () (tptp.tyop_2Emin_2Efun @t3 @t3)) % 0.36/0.73 (define @t28 () (@list @t3 @t25)) % 0.36/0.73 (define @t29 () (@var "V1y_2E0" $$unsorted)) % 0.36/0.73 (define @t30 () (tptp.tyop_2Emin_2Efun @t2 @t3)) % 0.36/0.73 (define @t31 () (@var "A_27c" $$unsorted)) % 0.36/0.73 (define @t32 () (tptp.tyop_2Emin_2Efun @t2 @t31)) % 0.36/0.73 (define @t33 () (tptp.tyop_2Emin_2Efun @t3 @t32)) % 0.36/0.73 (define @t34 () (tptp.s @t33 @t6)) % 0.36/0.73 (define @t35 () (tptp.tyop_2Emin_2Efun @t3 @t31)) % 0.36/0.73 (define @t36 () (tptp.tyop_2Emin_2Efun @t4 @t35)) % 0.36/0.73 (define @t37 () (tptp.s @t3 @t11)) % 0.36/0.73 (define @t38 () (tptp.s @t3 @t13)) % 0.36/0.73 (define @t39 () (@var "V1x_2E0" $$unsorted)) % 0.36/0.73 (define @t40 () (tptp.tyop_2Emin_2Efun @t3 tptp.tyop_2Emin_2Ebool)) % 0.36/0.73 (define @t41 () (tptp.s @t40 @t6)) % 0.36/0.73 (define @t42 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t41 (tptp.s @t3 @t39))))) % 0.36/0.73 (define @t43 () (@list @t39)) % 0.36/0.73 (define @t44 () (@list @t3 @t6)) % 0.36/0.73 (define @t45 () (@var "X1_2E0" $$unsorted)) % 0.36/0.73 (define @t46 () (tptp.s tptp.tyop_2Emin_2Ebool @t45)) % 0.36/0.73 (define @t47 () (@var "X0_2E0" $$unsorted)) % 0.36/0.73 (define @t48 () (tptp.s tptp.tyop_2Emin_2Ebool @t47)) % 0.36/0.73 (define @t49 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool)) % 0.36/0.73 (define @t50 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool @t49)) % 0.36/0.73 (define @t51 () (tptp.p @t46)) % 0.36/0.73 (define @t52 () (tptp.p @t48)) % 0.36/0.73 (define @t53 () (@list @t47 @t45)) % 0.36/0.73 (define @t54 () (@list @t47)) % 0.36/0.73 (define @t55 () (tptp.s @t3 @t45)) % 0.36/0.73 (define @t56 () (tptp.s @t3 @t47)) % 0.36/0.73 (define @t57 () (tptp.s @t40 @t47)) % 0.36/0.73 (define @t58 () (tptp.tyop_2Emin_2Efun @t40 tptp.tyop_2Emin_2Ebool)) % 0.36/0.73 (define @t59 () (@list @t3 @t47)) % 0.36/0.73 (define @t60 () (tptp.s tptp.tyop_2Einteger_2Eint @t47)) % 0.36/0.73 (define @t61 () (tptp.s tptp.tyop_2Enum_2Enum @t47)) % 0.36/0.73 (define @t62 () (tptp.tyop_2Efcp_2Ecart tptp.tyop_2Emin_2Ebool @t3)) % 0.36/0.73 (define @t63 () (tptp.s @t62 @t47)) % 0.36/0.73 (define @t64 () (tptp.tyop_2Emin_2Efun @t62 @t62)) % 0.36/0.73 (define @t65 () (tptp.s tptp.tyop_2Enum_2Enum @t45)) % 0.36/0.73 (define @t66 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Enum_2Enum tptp.tyop_2Emin_2Ebool)) % 0.36/0.73 (define @t67 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Enum_2Enum tptp.tyop_2Enum_2Enum)) % 0.36/0.73 (define @t68 () (tptp.tyop_2Ebool_2Eitself @t3)) % 0.36/0.73 (define @t69 () (tptp.s @t68 @t47)) % 0.36/0.73 (define @t70 () (tptp.s tptp.tyop_2Einteger_2Eint @t45)) % 0.36/0.73 (define @t71 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Einteger_2Eint tptp.tyop_2Emin_2Ebool)) % 0.36/0.73 (define @t72 () (@var "X2_2E0" $$unsorted)) % 0.36/0.73 (define @t73 () (tptp.s @t3 @t72)) % 0.36/0.73 (define @t74 () (tptp.tyop_2Emin_2Efun @t3 @t27)) % 0.36/0.73 (define @t75 () (@list @t3 @t47 @t45 @t72)) % 0.36/0.73 (define @t76 () (tptp.s @t62 @t72)) % 0.36/0.73 (define @t77 () (tptp.s @t62 @t45)) % 0.36/0.73 (define @t78 () (tptp.tyop_2Emin_2Efun @t62 @t64)) % 0.36/0.73 (define @t79 () (@var "V1t2_2E0" $$unsorted)) % 0.36/0.73 (define @t80 () (tptp.s tptp.tyop_2Emin_2Ebool @t79)) % 0.36/0.73 (define @t81 () (@var "V0t1_2E0" $$unsorted)) % 0.36/0.73 (define @t82 () (tptp.s tptp.tyop_2Emin_2Ebool @t81)) % 0.36/0.73 (define @t83 () (tptp.p @t82)) % 0.36/0.73 (define @t84 () (tptp.p @t80)) % 0.36/0.73 (define @t85 () (@list @t81 @t79)) % 0.36/0.73 (define @t86 () (tptp.s @t3 @t29)) % 0.36/0.73 (define @t87 () (@var "V2t3_2E0" $$unsorted)) % 0.36/0.73 (define @t88 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool @t87))) % 0.36/0.73 (define @t89 () (@var "V5y_27_2E0" $$unsorted)) % 0.36/0.73 (define @t90 () (tptp.s @t3 @t89)) % 0.36/0.73 (define @t91 () (@var "V3x_27_2E0" $$unsorted)) % 0.36/0.73 (define @t92 () (tptp.s @t3 @t91)) % 0.36/0.73 (define @t93 () (@var "V1Q_2E0" $$unsorted)) % 0.36/0.73 (define @t94 () (tptp.s tptp.tyop_2Emin_2Ebool @t93)) % 0.36/0.73 (define @t95 () (@var "V4y_2E0" $$unsorted)) % 0.36/0.73 (define @t96 () (tptp.s @t3 @t95)) % 0.36/0.73 (define @t97 () (@var "V0P_2E0" $$unsorted)) % 0.36/0.73 (define @t98 () (tptp.s tptp.tyop_2Emin_2Ebool @t97)) % 0.36/0.73 (define @t99 () (tptp.p @t94)) % 0.36/0.73 (define @t100 () (@var "V3t2_2E0" $$unsorted)) % 0.36/0.73 (define @t101 () (tptp.s @t3 @t100)) % 0.36/0.73 (define @t102 () (@var "V2t1_2E0" $$unsorted)) % 0.36/0.73 (define @t103 () (tptp.s @t3 (tptp.c_2Ebool_2ECOND_2E3 @t20 (tptp.s @t3 @t102) @t101))) % 0.36/0.73 (define @t104 () (@list @t102 @t100)) % 0.36/0.73 (define @t105 () (forall @t104 (= @t103 @t101))) % 0.36/0.73 (define @t106 () (tptp.s @t3 @t81)) % 0.36/0.73 (define @t107 () (tptp.s @t3 (tptp.c_2Ebool_2ECOND_2E3 @t18 @t106 (tptp.s @t3 @t79)))) % 0.36/0.73 (define @t108 () (forall @t85 (= @t107 @t106))) % 0.36/0.73 (define @t109 () (and @t108 @t105)) % 0.36/0.73 (define @t110 () (@list @t3)) % 0.36/0.73 (define @t111 () (forall @t110 @t109)) % 0.36/0.73 (define @t112 () (tptp.s tptp.tyop_2Enum_2Enum tptp.c_2Enum_2E0_2E0)) % 0.36/0.73 (define @t113 () (tptp.c_2Einteger_2Eint__of__num_2E1 @t112)) % 0.36/0.73 (define @t114 () (tptp.s tptp.tyop_2Einteger_2Eint @t113)) % 0.36/0.73 (define @t115 () (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__neg_2E1 @t114))) % 0.36/0.73 (define @t116 () (@var "V1m_2E0" $$unsorted)) % 0.36/0.73 (define @t117 () (tptp.s tptp.tyop_2Enum_2Enum @t116)) % 0.36/0.73 (define @t118 () (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__of__num_2E1 @t117))) % 0.36/0.73 (define @t119 () (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__neg_2E1 @t118))) % 0.36/0.73 (define @t120 () (@var "V0n_2E0" $$unsorted)) % 0.36/0.73 (define @t121 () (tptp.s tptp.tyop_2Enum_2Enum @t120)) % 0.36/0.73 (define @t122 () (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__of__num_2E1 @t121))) % 0.36/0.73 (define @t123 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__lt_2E2 @t122 @t119))) % 0.36/0.73 (define @t124 () (not (= @t117 @t112))) % 0.36/0.73 (define @t125 () (not (= @t121 @t112))) % 0.36/0.73 (define @t126 () (or @t125 @t124)) % 0.36/0.73 (define @t127 () (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__neg_2E1 @t122))) % 0.36/0.73 (define @t128 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__lt_2E2 @t127 @t118)))) % 0.36/0.73 (define @t129 () (= @t128 @t126)) % 0.36/0.73 (define @t130 () (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__lt_2E2 @t127 @t119)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eprim__rec_2E_3C_2E2 @t117 @t121)))) % 0.36/0.73 (define @t131 () (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__lt_2E2 @t122 @t118)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eprim__rec_2E_3C_2E2 @t121 @t117)))) % 0.36/0.73 (define @t132 () (and @t131 @t130 @t129 (= @t123 @t20))) % 0.36/0.73 (define @t133 () (@list @t120 @t116)) % 0.36/0.73 (define @t134 () (forall @t133 @t132)) % 0.36/0.73 (define @t135 () (tptp.s tptp.tyop_2Enum_2Enum (tptp.c_2Einteger_2ENum_2E1 @t122))) % 0.36/0.73 (define @t136 () (@list @t120)) % 0.36/0.73 (define @t137 () (forall @t136 (= @t135 @t121))) % 0.36/0.73 (define @t138 () (@var "V0i_2E0" $$unsorted)) % 0.36/0.73 (define @t139 () (tptp.s tptp.tyop_2Einteger_2Eint @t138)) % 0.36/0.73 (define @t140 () (tptp.s tptp.tyop_2Enum_2Enum (tptp.c_2Ewords_2Edimword_2E1 (tptp.s @t68 tptp.c_2Ebool_2Ethe__value_2E0)))) % 0.36/0.73 (define @t141 () (@var "V1n_2E0" $$unsorted)) % 0.36/0.73 (define @t142 () (tptp.s tptp.tyop_2Enum_2Enum @t141)) % 0.36/0.73 (define @t143 () (@var "V0m_2E0" $$unsorted)) % 0.36/0.73 (define @t144 () (tptp.s tptp.tyop_2Enum_2Enum @t143)) % 0.36/0.73 (define @t145 () (tptp.c_2Ewords_2En2w_2E1 @t112)) % 0.36/0.73 (define @t146 () (tptp.s @t62 @t145)) % 0.36/0.73 (define @t147 () (tptp.s @t62 (tptp.c_2Ewords_2Eword__2comp_2E1 @t146))) % 0.36/0.73 (define @t148 () (forall @t110 (= @t147 @t146))) % 0.36/0.73 (define @t149 () (tptp.c_2Einteger__word_2Ei2w_2E1 @t114)) % 0.36/0.73 (define @t150 () (tptp.s @t62 @t149)) % 0.36/0.73 (define @t151 () (forall @t110 (= @t150 @t146))) % 0.36/0.73 (define @t152 () (not @t151)) % 0.36/0.73 (define @t153 () (@quantifiers_skolemize (forall @t110 (= @t146 @t150)) 0)) % 0.36/0.73 (define @t154 () (= @t20 @t123)) % 0.36/0.73 (define @t155 () (forall @t133 @t154)) % 0.36/0.73 (define @t156 () (@list @t120 @t116)) % 0.36/0.73 (define @t157 () (= @t128 (or (not (= @t112 @t121)) (not (= @t112 @t117))))) % 0.36/0.73 (define @t158 () (forall @t133 @t157)) % 0.36/0.73 (define @t159 () (forall @t133 @t130)) % 0.36/0.73 (define @t160 () (forall @t133 @t131)) % 0.36/0.73 (define @t161 () (and @t160 @t159 @t158 @t155)) % 0.36/0.73 (define @t162 () (@var "BOUND_VARIABLE_8110" $$unsorted)) % 0.36/0.73 (define @t163 () (tptp.s @t162 @t100)) % 0.36/0.73 (define @t164 () (= @t163 (tptp.s @t162 (tptp.c_2Ebool_2ECOND_2E3 @t20 (tptp.s @t162 @t102) @t163)))) % 0.36/0.73 (define @t165 () (forall (@list @t162) (forall @t104 @t164))) % 0.36/0.73 (define @t166 () (@var "BOUND_VARIABLE_8100" $$unsorted)) % 0.36/0.73 (define @t167 () (tptp.s @t166 @t81)) % 0.36/0.73 (define @t168 () (= @t167 (tptp.s @t166 (tptp.c_2Ebool_2ECOND_2E3 @t18 @t167 (tptp.s @t166 @t79))))) % 0.36/0.73 (define @t169 () (forall (@list @t166) (forall @t85 @t168))) % 0.36/0.73 (define @t170 () (forall @t104 (= @t101 @t103))) % 0.36/0.73 (define @t171 () (forall @t110 @t170)) % 0.36/0.73 (define @t172 () (@list @t3)) % 0.36/0.73 (define @t173 () (forall @t85 (= @t106 @t107))) % 0.36/0.73 (define @t174 () (forall @t110 @t173)) % 0.36/0.73 (define @t175 () (and @t174 @t171)) % 0.36/0.73 (define @t176 () (tptp.tyop_2Efcp_2Ecart tptp.tyop_2Emin_2Ebool @t153)) % 0.36/0.73 (define @t177 () (tptp.s @t176 @t145)) % 0.36/0.73 (define @t178 () (tptp.c_2Ebool_2ECOND_2E3 @t20 @t177 @t177)) % 0.36/0.73 (define @t179 () (tptp.s @t176 @t178)) % 0.36/0.73 (define @t180 () (= @t177 @t179)) % 0.36/0.73 (define @t181 () (not @t180)) % 0.36/0.73 (define @t182 () (tptp.c_2Einteger_2Eint__lt_2E2 @t114 @t115)) % 0.36/0.73 (define @t183 () (tptp.s tptp.tyop_2Emin_2Ebool @t182)) % 0.36/0.73 (define @t184 () (= @t20 @t183)) % 0.36/0.73 (define @t185 () (not @t184)) % 0.36/0.73 (define @t186 () (tptp.c_2Ewords_2Eword__2comp_2E1 @t177)) % 0.36/0.73 (define @t187 () (tptp.s @t176 @t186)) % 0.36/0.73 (define @t188 () (= @t177 @t187)) % 0.36/0.73 (define @t189 () (not @t188)) % 0.36/0.73 (define @t190 () (tptp.c_2Einteger_2ENum_2E1 @t114)) % 0.36/0.73 (define @t191 () (tptp.s tptp.tyop_2Enum_2Enum @t190)) % 0.36/0.73 (define @t192 () (tptp.c_2Ewords_2En2w_2E1 @t191)) % 0.36/0.73 (define @t193 () (tptp.s @t176 @t192)) % 0.36/0.73 (define @t194 () (tptp.s @t176 @t149)) % 0.36/0.73 (define @t195 () (= @t194 (tptp.s @t176 (tptp.c_2Ebool_2ECOND_2E3 (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__lt_2E2 @t114 @t114)) (tptp.s @t176 (tptp.c_2Ewords_2Eword__2comp_2E1 (tptp.s @t176 (tptp.c_2Ewords_2En2w_2E1 (tptp.s tptp.tyop_2Enum_2Enum (tptp.c_2Einteger_2ENum_2E1 @t115)))))) @t193)))) % 0.36/0.73 (define @t196 () (not @t195)) % 0.36/0.73 (define @t197 () (= @t112 @t191)) % 0.36/0.73 (define @t198 () (not @t197)) % 0.36/0.73 (define @t199 () (= @t177 @t194)) % 0.36/0.73 (define @t200 () (= @t114 @t115)) % 0.36/0.73 (define @t201 () (not @t200)) % 0.36/0.73 (define @t202 () (not @t199)) % 0.36/0.73 (define @t203 () (and @t181 @t180)) % 0.36/0.73 (assume @p1 (forall (@list @t3 @t2 @t6 @t1) (=> (forall (@list @t8) (= (tptp.s @t2 (tptp.app_2E2 @t7 @t9)) @t10)) (= @t7 @t5)))) % 0.36/0.73 (assume @p2 (forall @t17 (=> (= @t16 @t15) (= @t14 @t12)))) % 0.36/0.73 (assume @p3 @t19) % 0.36/0.73 (assume @p4 (not @t21)) % 0.36/0.73 (assume @p5 (forall @t24 (or (= @t23 @t18) (= @t23 @t20)))) % 0.36/0.73 (assume @p6 (forall @t28 (= (tptp.s @t3 (tptp.app_2E2 (tptp.s @t27 tptp.combin_i_2E0) @t26)) @t26))) % 0.36/0.73 (assume @p7 (forall (@list @t3 @t2 @t25 @t29) (= (tptp.s @t3 (tptp.app_2E2 (tptp.s @t30 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t30) tptp.combin_k_2E0) @t26)) (tptp.s @t2 @t29))) @t26))) % 0.36/0.73 (assume @p8 (forall (@list @t3 @t2 @t31 @t6 @t1 @t8) (= (tptp.s @t31 (tptp.app_2E2 (tptp.s @t35 (tptp.app_2E2 (tptp.s @t36 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t33 @t36) tptp.combin_s_2E0) @t34)) @t5)) @t9)) (tptp.s @t31 (tptp.app_2E2 (tptp.s @t32 (tptp.app_2E2 @t34 @t9)) @t10))))) % 0.36/0.73 (assume @p9 (forall @t17 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_2F_5C_2E2 @t14 @t12))) (and @t16 @t15)))) % 0.36/0.73 (assume @p10 (forall @t17 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_5C_2F_2E2 @t14 @t12))) (or @t16 @t15)))) % 0.36/0.73 (assume @p11 (forall (@list @t13) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_7E_2E1 @t14))) (not @t16)))) % 0.36/0.73 (assume @p12 (forall @t17 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_3D_3E_2E2 @t14 @t12))) (=> @t16 @t15)))) % 0.36/0.73 (assume @p13 (forall (@list @t3 @t13 @t11) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_2E2 @t38 @t37))) (= @t38 @t37)))) % 0.36/0.73 (assume @p14 (forall @t44 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t41))) (forall @t43 @t42)))) % 0.36/0.73 (assume @p15 (forall @t44 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t41))) (exists @t43 @t42)))) % 0.36/0.73 (assume @p16 (forall @t53 (= (and @t52 @t51) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t49 (tptp.app_2E2 (tptp.s @t50 tptp.c_2Ebool_2E_2F_5C_2E0) @t48)) @t46)))))) % 0.36/0.73 (assume @p17 (forall @t53 (= (or @t52 @t51) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t49 (tptp.app_2E2 (tptp.s @t50 tptp.c_2Ebool_2E_5C_2F_2E0) @t48)) @t46)))))) % 0.36/0.73 (assume @p18 (forall @t54 (= (not @t52) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t49 tptp.c_2Ebool_2E_7E_2E0) @t48)))))) % 0.36/0.73 (assume @p19 (forall @t53 (= (=> @t52 @t51) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t49 (tptp.app_2E2 (tptp.s @t50 tptp.c_2Emin_2E_3D_3D_3E_2E0) @t48)) @t46)))))) % 0.36/0.73 (assume @p20 (forall (@list @t3 @t47 @t45) (= (= @t56 @t55) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t40 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t40) tptp.c_2Emin_2E_3D_2E0) @t56)) @t55)))))) % 0.36/0.73 (assume @p21 (forall @t59 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t57)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t58 tptp.c_2Ebool_2E_21_2E0) @t57))))) % 0.36/0.73 (assume @p22 (forall @t59 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t57)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t58 tptp.c_2Ebool_2E_3F_2E0) @t57))))) % 0.36/0.73 (assume @p23 (forall @t54 (= (tptp.s tptp.tyop_2Enum_2Enum (tptp.c_2Einteger_2ENum_2E1 @t60)) (tptp.s tptp.tyop_2Enum_2Enum (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Einteger_2Eint tptp.tyop_2Enum_2Enum) tptp.c_2Einteger_2ENum_2E0) @t60))))) % 0.36/0.73 (assume @p24 (forall @t54 (= (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__of__num_2E1 @t61)) (tptp.s tptp.tyop_2Einteger_2Eint (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Enum_2Enum tptp.tyop_2Einteger_2Eint) tptp.c_2Einteger_2Eint__of__num_2E0) @t61))))) % 0.36/0.73 (assume @p25 (forall @t59 (= (tptp.s @t62 (tptp.c_2Einteger__word_2Ei2w_2E1 @t60)) (tptp.s @t62 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Einteger_2Eint @t62) tptp.c_2Einteger__word_2Ei2w_2E0) @t60))))) % 0.36/0.73 (assume @p26 (forall @t54 (= (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__neg_2E1 @t60)) (tptp.s tptp.tyop_2Einteger_2Eint (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Einteger_2Eint tptp.tyop_2Einteger_2Eint) tptp.c_2Einteger_2Eint__neg_2E0) @t60))))) % 0.36/0.73 (assume @p27 (forall @t59 (= (tptp.s @t62 (tptp.c_2Ewords_2En2w_2E1 @t61)) (tptp.s @t62 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Enum_2Enum @t62) tptp.c_2Ewords_2En2w_2E0) @t61))))) % 0.36/0.73 (assume @p28 (forall @t59 (= (tptp.s @t62 (tptp.c_2Ewords_2Eword__2comp_2E1 @t63)) (tptp.s @t62 (tptp.app_2E2 (tptp.s @t64 tptp.c_2Ewords_2Eword__2comp_2E0) @t63))))) % 0.36/0.73 (assume @p29 (forall @t53 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eprim__rec_2E_3C_2E2 @t61 @t65)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t66 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Enum_2Enum @t66) tptp.c_2Eprim__rec_2E_3C_2E0) @t61)) @t65))))) % 0.36/0.73 (assume @p30 (forall @t53 (= (tptp.s tptp.tyop_2Enum_2Enum (tptp.c_2Earithmetic_2EMOD_2E2 @t61 @t65)) (tptp.s tptp.tyop_2Enum_2Enum (tptp.app_2E2 (tptp.s @t67 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Enum_2Enum @t67) tptp.c_2Earithmetic_2EMOD_2E0) @t61)) @t65))))) % 0.36/0.73 (assume @p31 (forall @t59 (= (tptp.s tptp.tyop_2Enum_2Enum (tptp.c_2Ewords_2Edimword_2E1 @t69)) (tptp.s tptp.tyop_2Enum_2Enum (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t68 tptp.tyop_2Enum_2Enum) tptp.c_2Ewords_2Edimword_2E0) @t69))))) % 0.36/0.73 (assume @p32 (forall @t53 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__lt_2E2 @t60 @t70)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t71 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Einteger_2Eint @t71) tptp.c_2Einteger_2Eint__lt_2E0) @t60)) @t70))))) % 0.36/0.73 (assume @p33 (forall @t75 (= (tptp.s @t3 (tptp.c_2Ebool_2ECOND_2E3 @t48 @t55 @t73)) (tptp.s @t3 (tptp.app_2E2 (tptp.s @t27 (tptp.app_2E2 (tptp.s @t74 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool @t74) tptp.c_2Ebool_2ECOND_2E0) @t48)) @t55)) @t73))))) % 0.36/0.73 (assume @p34 (forall @t75 (= (tptp.s @t62 (tptp.c_2Ebool_2ECOND_2E3 @t48 @t77 @t76)) (tptp.s @t62 (tptp.app_2E2 (tptp.s @t64 (tptp.app_2E2 (tptp.s @t78 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool @t78) tptp.c_2Ebool_2ECOND_2E0) @t48)) @t77)) @t76))))) % 0.36/0.73 (assume @p35 (forall @t85 (=> (=> @t83 @t84) (=> (=> @t84 @t83) (= @t82 @t80))))) % 0.36/0.73 (assume @p36 (forall @t24 (=> @t21 (tptp.p @t23)))) % 0.36/0.73 (assume @p37 (forall @t28 (= (= @t26 @t26) @t19))) % 0.36/0.73 (assume @p38 (forall (@list @t3 @t25 @t29) (= (= @t26 @t86) (= @t86 @t26)))) % 0.36/0.73 (assume @p39 (forall (@list @t81 @t79 @t87) (= (=> @t83 (=> @t84 @t88)) (=> (and @t83 @t84) @t88)))) % 0.36/0.73 (assume @p40 (forall (@list @t3 @t97 @t93 @t8 @t91 @t95 @t89) (=> (and (= @t98 @t94) (=> @t99 (= @t9 @t92)) (=> (not @t99) (= @t96 @t90))) (= (tptp.s @t3 (tptp.c_2Ebool_2ECOND_2E3 @t98 @t9 @t96)) (tptp.s @t3 (tptp.c_2Ebool_2ECOND_2E3 @t94 @t92 @t90)))))) % 0.36/0.73 (assume @p41 @t111) % 0.36/0.73 (assume @p42 (= @t115 @t114)) % 0.36/0.73 (assume @p43 @t134) % 0.36/0.73 (assume @p44 @t137) % 0.36/0.73 (assume @p45 (forall (@list @t3 @t138) (= (tptp.s @t62 (tptp.c_2Einteger__word_2Ei2w_2E1 @t139)) (tptp.s @t62 (tptp.c_2Ebool_2ECOND_2E3 (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__lt_2E2 @t139 @t114)) (tptp.s @t62 (tptp.c_2Ewords_2Eword__2comp_2E1 (tptp.s @t62 (tptp.c_2Ewords_2En2w_2E1 (tptp.s tptp.tyop_2Enum_2Enum (tptp.c_2Einteger_2ENum_2E1 (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__neg_2E1 @t139)))))))) (tptp.s @t62 (tptp.c_2Ewords_2En2w_2E1 (tptp.s tptp.tyop_2Enum_2Enum (tptp.c_2Einteger_2ENum_2E1 @t139))))))))) % 0.36/0.73 (assume @p46 (forall @t136 (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eprim__rec_2E_3C_2E2 @t121 @t112)))))) % 0.36/0.73 (assume @p47 (forall (@list @t3 @t143 @t141) (= (= (tptp.s @t62 (tptp.c_2Ewords_2En2w_2E1 @t144)) (tptp.s @t62 (tptp.c_2Ewords_2En2w_2E1 @t142))) (= (tptp.s tptp.tyop_2Enum_2Enum (tptp.c_2Earithmetic_2EMOD_2E2 @t144 @t140)) (tptp.s tptp.tyop_2Enum_2Enum (tptp.c_2Earithmetic_2EMOD_2E2 @t142 @t140)))))) % 0.36/0.73 (assume @p48 @t148) % 0.36/0.73 (assume @p49 @t152) % 0.36/0.73 (assume @p50 true) % 0.36/0.73 (step @p51 :rule symm :premises (@p42)) % 0.36/0.73 (step @p52 :rule eq-symm :args (@t150 @t146)) % 0.36/0.73 (step @p53 :rule cong :premises (@p52) :args (@t151)) % 0.36/0.73 (step @p54 :rule cong :premises (@p53) :args (@t152)) % 0.36/0.73 (step @p55 :rule eq_resolve :premises (@p49 @p54)) % 0.36/0.73 (step @p56 :rule skolemize :premises (@p55)) % 0.36/0.73 (step @p57 :rule eq-symm :args (@t135 @t121)) % 0.36/0.73 (step @p58 :rule cong :premises (@p57) :args (@t137)) % 0.36/0.73 (step @p59 :rule eq_resolve :premises (@p44 @p58)) % 0.36/0.73 (step @p60 :rule instantiate :premises (@p59) :args ((@list tptp.c_2Enum_2E0_2E0))) % 0.36/0.73 (step @p61 :rule instantiate :premises (@p45) :args ((@list @t153 @t113))) % 0.36/0.73 (step @p62 :rule eq-symm :args (@t147 @t146)) % 0.36/0.73 (step @p63 :rule cong :premises (@p62) :args (@t148)) % 0.36/0.73 (step @p64 :rule eq_resolve :premises (@p48 @p63)) % 0.36/0.73 (step @p65 :rule instantiate :premises (@p64) :args ((@list @t153))) % 0.36/0.73 (step @p66 :rule alpha_equiv :args (@t155 @t156 (@list (@var "BOUND_VARIABLE_8200" $$unsorted) (@var "BOUND_VARIABLE_8202" $$unsorted)))) % 0.36/0.73 (step @p67 :rule alpha_equiv :args (@t158 @t156 (@list (@var "BOUND_VARIABLE_8176" $$unsorted) (@var "BOUND_VARIABLE_8178" $$unsorted)))) % 0.36/0.73 (step @p68 :rule alpha_equiv :args (@t159 @t156 (@list (@var "BOUND_VARIABLE_8155" $$unsorted) (@var "BOUND_VARIABLE_8157" $$unsorted)))) % 0.36/0.73 (step @p69 :rule alpha_equiv :args (@t160 @t156 (@list (@var "BOUND_VARIABLE_8138" $$unsorted) (@var "BOUND_VARIABLE_8140" $$unsorted)))) % 0.36/0.73 (step @p70 :rule nary_cong :premises (@p69 @p68 @p67 @p66) :args (@t161)) % 0.36/0.73 (step @p71 :rule quant-miniscope-and :args ((= (forall @t133 (and @t131 @t130 @t157 @t154)) @t161))) % 0.36/0.73 (step @p72 :rule trans :premises (@p71 @p70)) % 0.36/0.73 (step @p73 :rule eq-symm :args (@t123 @t20)) % 0.36/0.73 (step @p74 :rule eq-symm :args (@t117 @t112)) % 0.36/0.73 (step @p75 :rule cong :premises (@p74) :args (@t124)) % 0.36/0.73 (step @p76 :rule eq-symm :args (@t121 @t112)) % 0.36/0.73 (step @p77 :rule cong :premises (@p76) :args (@t125)) % 0.36/0.73 (step @p78 :rule nary_cong :premises (@p77 @p75) :args (@t126)) % 0.36/0.73 (step @p79 :rule refl :args (@t128)) % 0.36/0.73 (step @p80 :rule cong :premises (@p79 @p78) :args (@t129)) % 0.36/0.73 (step @p81 :rule refl :args (@t130)) % 0.36/0.73 (step @p82 :rule refl :args (@t131)) % 0.36/0.73 (step @p83 :rule nary_cong :premises (@p82 @p81 @p80 @p73) :args (@t132)) % 0.36/0.73 (step @p84 :rule cong :premises (@p83) :args (@t134)) % 0.36/0.73 (step @p85 :rule trans :premises (@p84 @p72)) % 0.36/0.73 (step @p86 :rule eq_resolve :premises (@p43 @p85)) % 0.36/0.73 (step @p87 :rule and_elim :premises (@p86) :args (3)) % 0.36/0.73 (step @p88 :rule instantiate :premises (@p87) :args ((@list tptp.c_2Enum_2E0_2E0 tptp.c_2Enum_2E0_2E0))) % 0.36/0.73 (step @p89 :rule quant-merge-prenex :args ((= @t165 (forall (@list @t162 @t102 @t100) @t164)))) % 0.36/0.73 (step @p90 :rule quant-merge-prenex :args ((= @t169 (forall (@list @t166 @t81 @t79) @t168)))) % 0.36/0.73 (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((and @t169 @t165))) % 0.36/0.73 (step @p92 :rule alpha_equiv :args (@t171 @t172 (@list @t162))) % 0.36/0.73 (step @p93 :rule alpha_equiv :args (@t174 @t172 (@list @t166))) % 0.36/0.73 (step @p94 :rule nary_cong :premises (@p93 @p92) :args (@t175)) % 0.36/0.73 (step @p95 :rule quant-miniscope-and :args ((= (forall @t110 (and @t173 @t170)) @t175))) % 0.36/0.73 (step @p96 :rule trans :premises (@p95 @p94)) % 0.36/0.73 (step @p97 :rule trans :premises (@p96 @p91)) % 0.36/0.73 (step @p98 :rule eq-symm :args (@t103 @t101)) % 0.36/0.73 (step @p99 :rule cong :premises (@p98) :args (@t105)) % 0.36/0.73 (step @p100 :rule eq-symm :args (@t107 @t106)) % 0.36/0.73 (step @p101 :rule cong :premises (@p100) :args (@t108)) % 0.36/0.73 (step @p102 :rule nary_cong :premises (@p101 @p99) :args (@t109)) % 0.36/0.73 (step @p103 :rule cong :premises (@p102) :args (@t111)) % 0.36/0.73 (step @p104 :rule trans :premises (@p103 @p97)) % 0.36/0.73 (step @p105 :rule eq_resolve :premises (@p41 @p104)) % 0.36/0.73 (step @p106 :rule and_elim :premises (@p105) :args (1)) % 0.36/0.73 (step @p107 :rule instantiate :premises (@p106) :args ((@list @t176 @t145 @t145))) % 0.36/0.73 (step @p108 :rule refl :args (@t181)) % 0.36/0.73 (step @p109 :rule refl :args (@t185)) % 0.36/0.73 (step @p110 :rule refl :args (@t189)) % 0.36/0.73 (step @p111 :rule refl :args (@t196)) % 0.36/0.73 (step @p112 :rule refl :args (@t198)) % 0.36/0.73 (step @p113 :rule bool-double-not-elim :args (@t199)) % 0.36/0.73 (step @p114 :rule refl :args (@t201)) % 0.36/0.73 (step @p115 :rule nary_cong :premises (@p114 @p113 @p112 @p111 @p110 @p109 @p108) :args ((or @t201 (not @t202) @t198 @t196 @t189 @t185 @t181))) % 0.36/0.73 (assume-push @p174 @t181) % 0.36/0.73 (assume-push @p175 @t180) % 0.36/0.73 (step @p118 :rule evaluate :args ((= false true))) % 0.36/0.73 (step @p119 :rule true_intro :premises (@p107)) % 0.36/0.73 (step @p120 :rule false_intro :premises (@p56)) % 0.36/0.73 (step @p121 :rule symm :premises (@p61)) % 0.36/0.73 (step @p122 :rule cong :premises (@p60) :args (@t145)) % 0.36/0.73 (step @p123 :rule refl :args (@t176)) % 0.36/0.73 (step @p124 :rule cong :premises (@p123 @p122) :args (@t177)) % 0.36/0.73 (step @p125 :rule cong :premises (@p51) :args (@t190)) % 0.36/0.73 (step @p126 :rule refl :args (tptp.tyop_2Enum_2Enum)) % 0.36/0.73 (step @p127 :rule cong :premises (@p126 @p125) :args (@t191)) % 0.36/0.73 (step @p128 :rule cong :premises (@p127) :args (@t192)) % 0.36/0.73 (step @p129 :rule cong :premises (@p123 @p128) :args (@t193)) % 0.36/0.73 (step @p130 :rule trans :premises (@p124 @p129)) % 0.36/0.73 (step @p131 :rule cong :premises (@p130) :args (@t186)) % 0.36/0.73 (step @p132 :rule cong :premises (@p123 @p131) :args (@t187)) % 0.36/0.73 (step @p133 :rule trans :premises (@p65 @p132)) % 0.36/0.73 (step @p134 :rule refl :args (@t114)) % 0.36/0.73 (step @p135 :rule cong :premises (@p134 @p42) :args (@t182)) % 0.36/0.73 (step @p136 :rule refl :args (tptp.tyop_2Emin_2Ebool)) % 0.36/0.73 (step @p137 :rule cong :premises (@p136 @p135) :args (@t183)) % 0.36/0.73 (step @p138 :rule trans :premises (@p88 @p137)) % 0.36/0.73 (step @p139 :rule cong :premises (@p138 @p133 @p124) :args (@t178)) % 0.36/0.73 (step @p140 :rule cong :premises (@p123 @p139) :args (@t179)) % 0.36/0.73 (step @p141 :rule trans :premises (@p140 @p121)) % 0.36/0.73 (step @p142 :rule refl :args (@t177)) % 0.36/0.73 (step @p143 :rule cong :premises (@p142 @p141) :args (@t180)) % 0.36/0.73 (step @p144 :rule trans :premises (@p143 @p120)) % 0.36/0.73 (step @p145 :rule symm :premises (@p144)) % 0.36/0.73 (step @p146 :rule trans :premises (@p145 @p119)) % 0.36/0.73 (step @p147 false :rule eq_resolve :premises (@p146 @p118)) % 0.36/0.73 (step-pop @p176 :rule scope :premises (@p147)) % 0.36/0.73 (step-pop @p177 :rule scope :premises (@p176)) % 0.36/0.73 (step @p148 :rule process_scope :premises (@p177) :args (false)) % 0.36/0.73 (assume-push @p178 @t200) % 0.36/0.73 (assume-push @p179 @t202) % 0.36/0.73 (assume-push @p180 @t197) % 0.36/0.73 (assume-push @p181 @t195) % 0.36/0.73 (assume-push @p182 @t188) % 0.36/0.73 (assume-push @p183 @t184) % 0.36/0.73 (assume-push @p184 @t180) % 0.36/0.73 (step @p120 :rule false_intro :premises (@p56)) % 0.36/0.73 (step @p121 :rule symm :premises (@p61)) % 0.36/0.73 (step @p122 :rule cong :premises (@p60) :args (@t145)) % 0.36/0.73 (step @p123 :rule refl :args (@t176)) % 0.36/0.73 (step @p124 :rule cong :premises (@p123 @p122) :args (@t177)) % 0.36/0.73 (step @p125 :rule cong :premises (@p51) :args (@t190)) % 0.36/0.73 (step @p126 :rule refl :args (tptp.tyop_2Enum_2Enum)) % 0.36/0.73 (step @p127 :rule cong :premises (@p126 @p125) :args (@t191)) % 0.36/0.73 (step @p128 :rule cong :premises (@p127) :args (@t192)) % 0.36/0.73 (step @p129 :rule cong :premises (@p123 @p128) :args (@t193)) % 0.36/0.73 (step @p130 :rule trans :premises (@p124 @p129)) % 0.36/0.73 (step @p131 :rule cong :premises (@p130) :args (@t186)) % 0.36/0.73 (step @p132 :rule cong :premises (@p123 @p131) :args (@t187)) % 0.36/0.73 (step @p133 :rule trans :premises (@p65 @p132)) % 0.36/0.73 (step @p134 :rule refl :args (@t114)) % 0.36/0.73 (step @p135 :rule cong :premises (@p134 @p42) :args (@t182)) % 0.36/0.73 (step @p136 :rule refl :args (tptp.tyop_2Emin_2Ebool)) % 0.36/0.73 (step @p137 :rule cong :premises (@p136 @p135) :args (@t183)) % 0.36/0.73 (step @p138 :rule trans :premises (@p88 @p137)) % 0.36/0.73 (step @p139 :rule cong :premises (@p138 @p133 @p124) :args (@t178)) % 0.36/0.73 (step @p140 :rule cong :premises (@p123 @p139) :args (@t179)) % 0.36/0.73 (step @p141 :rule trans :premises (@p140 @p121)) % 0.36/0.73 (step @p142 :rule refl :args (@t177)) % 0.36/0.73 (step @p143 :rule cong :premises (@p142 @p141) :args (@t180)) % 0.36/0.73 (step @p158 :rule trans :premises (@p143 @p120)) % 0.36/0.73 (step @p159 :rule false_elim :premises (@p158)) % 0.36/0.73 (step @p160 :rule and_intro :premises (@p159 @p107)) % 0.36/0.73 (step-pop @p185 :rule scope :premises (@p160)) % 0.36/0.73 (step-pop @p186 :rule scope :premises (@p185)) % 0.36/0.73 (step-pop @p187 :rule scope :premises (@p186)) % 0.36/0.73 (step-pop @p188 :rule scope :premises (@p187)) % 0.36/0.73 (step-pop @p189 :rule scope :premises (@p188)) % 0.36/0.73 (step-pop @p190 :rule scope :premises (@p189)) % 0.36/0.73 (step-pop @p191 :rule scope :premises (@p190)) % 0.36/0.73 (step @p161 :rule process_scope :premises (@p191) :args (@t203)) % 0.36/0.73 (step @p169 :rule implies_elim :premises (@p161)) % 0.36/0.73 (step @p170 :rule resolution :premises (@p169 @p148) :args (true @t203)) % 0.36/0.73 (step @p171 :rule not_and :premises (@p170)) % 0.36/0.73 (step @p172 :rule eq_resolve :premises (@p171 @p115)) % 0.36/0.73 (step @p173 false :rule chain_m_resolution :premises (@p172 @p107 @p88 @p65 @p61 @p60 @p56 @p51) :args (false (@list false false false false false true false) (@list @t180 @t184 @t188 @t195 @t197 @t199 @t200))) % 0.36/0.73 ) % 0.36/0.73 % SZS output end Proof % 0.36/0.73 % cvc5 exiting %------------------------------------------------------------------------------