%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP012+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 : n023.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 08:24:33 AM UTC 2026 % Result : Theorem 0.36s 0.74s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP012+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 : n023.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 03:49:13 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.74 % SZS status Theorem % 0.36/0.74 % SZS output start Proof % 0.36/0.74 ( % 0.36/0.74 (declare-sort $$unsorted 0) % 0.36/0.74 (declare-const tptp.c_2Einteger_2Eint__sub_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.c_2Einteger_2Eint__sub_2E0 $$unsorted) % 0.36/0.74 (declare-const tptp.c_2Einteger_2Eint__divides_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.combin_s_2E0 $$unsorted) % 0.36/0.74 (declare-const tptp.combin_k_2E0 $$unsorted) % 0.36/0.74 (declare-const tptp.tyop_2Einteger_2Eint $$unsorted) % 0.36/0.74 (declare-const tptp.combin_i_2E0 $$unsorted) % 0.36/0.74 (declare-const tptp.p (-> $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.c_2Einteger_2Eint__neg_2E0 $$unsorted) % 0.36/0.74 (declare-const tptp.tyop_2Emin_2Ebool $$unsorted) % 0.36/0.74 (declare-const tptp.c_2Ebool_2E_7E_2E1 (-> $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.c_2Emin_2E_3D_3D_3E_2E0 $$unsorted) % 0.36/0.74 (declare-const tptp.c_2Einteger_2Eint__neg_2E1 (-> $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.c_2Ebool_2EF_2E0 $$unsorted) % 0.36/0.74 (declare-const tptp.s (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.c_2Ebool_2E_3F_2E1 (-> $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.c_2Ebool_2ET_2E0 $$unsorted) % 0.36/0.74 (declare-const tptp.c_2Ebool_2E_2F_5C_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.c_2Einteger_2Eint__add_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.tyop_2Emin_2Efun (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.c_2Emin_2E_3D_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.c_2Einteger_2Eint__add_2E0 $$unsorted) % 0.36/0.74 (declare-const tptp.c_2Ebool_2E_21_2E1 (-> $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.app_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.c_2Ebool_2E_2F_5C_2E0 $$unsorted) % 0.36/0.74 (declare-const tptp.c_2Ebool_2E_7E_2E0 $$unsorted) % 0.36/0.74 (declare-const tptp.c_2Emin_2E_3D_3D_3E_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.c_2Ebool_2E_5C_2F_2E0 $$unsorted) % 0.36/0.74 (declare-const tptp.c_2Einteger_2Eint__divides_2E0 $$unsorted) % 0.36/0.74 (declare-const tptp.c_2Emin_2E_3D_2E0 $$unsorted) % 0.36/0.74 (declare-const tptp.c_2Ebool_2E_5C_2F_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.74 (declare-const tptp.c_2Ebool_2E_21_2E0 $$unsorted) % 0.36/0.74 (declare-const tptp.c_2Ebool_2E_3F_2E0 $$unsorted) % 0.36/0.74 (define @t1 () (@var "V1g_2E0" $$unsorted)) % 0.36/0.74 (define @t2 () (@var "A_27b" $$unsorted)) % 0.36/0.74 (define @t3 () (@var "A_27a" $$unsorted)) % 0.36/0.74 (define @t4 () (tptp.tyop_2Emin_2Efun @t3 @t2)) % 0.36/0.74 (define @t5 () (tptp.s @t4 @t1)) % 0.36/0.74 (define @t6 () (@var "V0f_2E0" $$unsorted)) % 0.36/0.74 (define @t7 () (tptp.s @t4 @t6)) % 0.36/0.74 (define @t8 () (@var "V2x_2E0" $$unsorted)) % 0.36/0.74 (define @t9 () (tptp.s @t3 @t8)) % 0.36/0.74 (define @t10 () (tptp.s @t2 (tptp.app_2E2 @t5 @t9))) % 0.36/0.74 (define @t11 () (@list @t8)) % 0.36/0.74 (define @t12 () (@var "V1_2E0" $$unsorted)) % 0.36/0.74 (define @t13 () (tptp.s tptp.tyop_2Emin_2Ebool @t12)) % 0.36/0.74 (define @t14 () (@var "V0_2E0" $$unsorted)) % 0.36/0.74 (define @t15 () (tptp.s tptp.tyop_2Emin_2Ebool @t14)) % 0.36/0.74 (define @t16 () (tptp.p @t13)) % 0.36/0.74 (define @t17 () (tptp.p @t15)) % 0.36/0.74 (define @t18 () (= @t17 @t16)) % 0.36/0.74 (define @t19 () (=> @t18 (= @t15 @t13))) % 0.36/0.74 (define @t20 () (@list @t14 @t12)) % 0.36/0.74 (define @t21 () (forall @t20 @t19)) % 0.36/0.74 (define @t22 () (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0)) % 0.36/0.74 (define @t23 () (tptp.p @t22)) % 0.36/0.74 (define @t24 () (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0)) % 0.36/0.74 (define @t25 () (tptp.p @t24)) % 0.36/0.74 (define @t26 () (not @t25)) % 0.36/0.74 (define @t27 () (@var "V0t_2E0" $$unsorted)) % 0.36/0.74 (define @t28 () (tptp.s tptp.tyop_2Emin_2Ebool @t27)) % 0.36/0.74 (define @t29 () (= @t28 @t24)) % 0.36/0.74 (define @t30 () (= @t28 @t22)) % 0.36/0.74 (define @t31 () (@list @t27)) % 0.36/0.74 (define @t32 () (@var "V0x_2E0" $$unsorted)) % 0.36/0.74 (define @t33 () (tptp.s @t3 @t32)) % 0.36/0.74 (define @t34 () (@var "V1y_2E0" $$unsorted)) % 0.36/0.74 (define @t35 () (tptp.tyop_2Emin_2Efun @t2 @t3)) % 0.36/0.74 (define @t36 () (@var "A_27c" $$unsorted)) % 0.36/0.74 (define @t37 () (tptp.tyop_2Emin_2Efun @t2 @t36)) % 0.36/0.74 (define @t38 () (tptp.tyop_2Emin_2Efun @t3 @t37)) % 0.36/0.74 (define @t39 () (tptp.s @t38 @t6)) % 0.36/0.74 (define @t40 () (tptp.tyop_2Emin_2Efun @t3 @t36)) % 0.36/0.74 (define @t41 () (tptp.tyop_2Emin_2Efun @t4 @t40)) % 0.36/0.74 (define @t42 () (not @t17)) % 0.36/0.74 (define @t43 () (tptp.s @t3 @t12)) % 0.36/0.74 (define @t44 () (tptp.s @t3 @t14)) % 0.36/0.74 (define @t45 () (@var "V1x_2E0" $$unsorted)) % 0.36/0.74 (define @t46 () (tptp.s @t3 @t45)) % 0.36/0.74 (define @t47 () (tptp.tyop_2Emin_2Efun @t3 tptp.tyop_2Emin_2Ebool)) % 0.36/0.74 (define @t48 () (tptp.s @t47 @t6)) % 0.36/0.74 (define @t49 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t48 @t46)))) % 0.36/0.74 (define @t50 () (@list @t45)) % 0.36/0.74 (define @t51 () (@list @t3 @t6)) % 0.36/0.74 (define @t52 () (@var "X1_2E0" $$unsorted)) % 0.36/0.74 (define @t53 () (tptp.s tptp.tyop_2Emin_2Ebool @t52)) % 0.36/0.74 (define @t54 () (@var "X0_2E0" $$unsorted)) % 0.36/0.74 (define @t55 () (tptp.s tptp.tyop_2Emin_2Ebool @t54)) % 0.36/0.74 (define @t56 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool)) % 0.36/0.74 (define @t57 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool @t56)) % 0.36/0.74 (define @t58 () (tptp.p @t53)) % 0.36/0.74 (define @t59 () (tptp.p @t55)) % 0.36/0.74 (define @t60 () (@list @t54 @t52)) % 0.36/0.74 (define @t61 () (@list @t54)) % 0.36/0.74 (define @t62 () (tptp.s @t3 @t52)) % 0.36/0.74 (define @t63 () (tptp.s @t3 @t54)) % 0.36/0.74 (define @t64 () (tptp.s @t47 @t54)) % 0.36/0.74 (define @t65 () (tptp.tyop_2Emin_2Efun @t47 tptp.tyop_2Emin_2Ebool)) % 0.36/0.74 (define @t66 () (@list @t3 @t54)) % 0.36/0.74 (define @t67 () (tptp.s tptp.tyop_2Einteger_2Eint @t52)) % 0.36/0.74 (define @t68 () (tptp.s tptp.tyop_2Einteger_2Eint @t54)) % 0.36/0.74 (define @t69 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Einteger_2Eint tptp.tyop_2Einteger_2Eint)) % 0.36/0.74 (define @t70 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Einteger_2Eint @t69)) % 0.36/0.74 (define @t71 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Einteger_2Eint tptp.tyop_2Emin_2Ebool)) % 0.36/0.74 (define @t72 () (@var "V1t2_2E0" $$unsorted)) % 0.36/0.74 (define @t73 () (tptp.s tptp.tyop_2Emin_2Ebool @t72)) % 0.36/0.74 (define @t74 () (@var "V0t1_2E0" $$unsorted)) % 0.36/0.74 (define @t75 () (tptp.s tptp.tyop_2Emin_2Ebool @t74)) % 0.36/0.74 (define @t76 () (tptp.p @t75)) % 0.36/0.74 (define @t77 () (tptp.p @t73)) % 0.36/0.74 (define @t78 () (tptp.p @t28)) % 0.36/0.74 (define @t79 () (not @t78)) % 0.36/0.74 (define @t80 () (=> @t78 @t25)) % 0.36/0.74 (define @t81 () (= @t80 @t79)) % 0.36/0.74 (define @t82 () (=> @t78 @t78)) % 0.36/0.74 (define @t83 () (=> @t25 @t78)) % 0.36/0.74 (define @t84 () (=> @t78 @t23)) % 0.36/0.74 (define @t85 () (=> @t23 @t78)) % 0.36/0.74 (define @t86 () (and (= @t85 @t78) (= @t84 @t23) (= @t83 @t23) (= @t82 @t23) @t81)) % 0.36/0.74 (define @t87 () (forall @t31 @t86)) % 0.36/0.74 (define @t88 () (not @t23)) % 0.36/0.74 (define @t89 () (forall @t31 (= (not @t79) @t78))) % 0.36/0.74 (define @t90 () (= @t29 @t79)) % 0.36/0.74 (define @t91 () (= @t24 @t28)) % 0.36/0.74 (define @t92 () (= @t30 @t78)) % 0.36/0.74 (define @t93 () (= @t22 @t28)) % 0.36/0.74 (define @t94 () (and (= @t93 @t78) @t92 (= @t91 @t79) @t90)) % 0.36/0.74 (define @t95 () (forall @t31 @t94)) % 0.36/0.74 (define @t96 () (@var "V0P_2E0" $$unsorted)) % 0.36/0.74 (define @t97 () (tptp.s @t47 @t96)) % 0.36/0.74 (define @t98 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t97 @t9)))) % 0.36/0.74 (define @t99 () (@var "V4x_2E0" $$unsorted)) % 0.36/0.74 (define @t100 () (@var "V1Q_2E0" $$unsorted)) % 0.36/0.74 (define @t101 () (tptp.s @t47 @t100)) % 0.36/0.74 (define @t102 () (@var "V3x_2E0" $$unsorted)) % 0.36/0.74 (define @t103 () (@var "V2C_2E0" $$unsorted)) % 0.36/0.74 (define @t104 () (@var "V1B_2E0" $$unsorted)) % 0.36/0.74 (define @t105 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool @t104))) % 0.36/0.74 (define @t106 () (@var "V0A_2E0" $$unsorted)) % 0.36/0.74 (define @t107 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool @t106))) % 0.36/0.74 (define @t108 () (or @t107 @t105 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool @t103)))) % 0.36/0.74 (define @t109 () (or @t107 @t105)) % 0.36/0.74 (define @t110 () (@list @t106 @t104)) % 0.36/0.74 (define @t111 () (not @t105)) % 0.36/0.74 (define @t112 () (not @t107)) % 0.36/0.75 (define @t113 () (tptp.s tptp.tyop_2Einteger_2Eint @t34)) % 0.36/0.75 (define @t114 () (tptp.s tptp.tyop_2Einteger_2Eint @t32)) % 0.36/0.75 (define @t115 () (@var "V2r_2E0" $$unsorted)) % 0.36/0.75 (define @t116 () (tptp.s tptp.tyop_2Einteger_2Eint @t115)) % 0.36/0.75 (define @t117 () (@var "V0p_2E0" $$unsorted)) % 0.36/0.75 (define @t118 () (tptp.s tptp.tyop_2Einteger_2Eint @t117)) % 0.36/0.75 (define @t119 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__divides_2E2 @t118 @t116))) % 0.36/0.75 (define @t120 () (@var "V1q_2E0" $$unsorted)) % 0.36/0.75 (define @t121 () (tptp.s tptp.tyop_2Einteger_2Eint @t120)) % 0.36/0.75 (define @t122 () (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__divides_2E2 @t118 (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__add_2E2 @t116 @t121)))) @t119)) % 0.36/0.75 (define @t123 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__divides_2E2 @t118 @t121))) % 0.36/0.75 (define @t124 () (tptp.p @t123)) % 0.36/0.75 (define @t125 () (@list @t117 @t120 @t115)) % 0.36/0.75 (define @t126 () (forall @t125 (=> @t124 @t122))) % 0.36/0.75 (define @t127 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__divides_2E2 (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__neg_2E1 @t118)) @t121))) % 0.36/0.75 (define @t128 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__divides_2E2 @t118 (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__neg_2E1 @t121))))) % 0.36/0.75 (define @t129 () (and (= @t128 @t123) (= @t127 @t123))) % 0.36/0.75 (define @t130 () (@list @t117 @t120)) % 0.36/0.75 (define @t131 () (forall @t130 @t129)) % 0.36/0.75 (define @t132 () (=> @t112 @t25)) % 0.36/0.75 (define @t133 () (@list @t106)) % 0.36/0.75 (define @t134 () (@var "V0B_2E0" $$unsorted)) % 0.36/0.75 (define @t135 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool @t134))) % 0.36/0.75 (define @t136 () (=> (not @t135) @t25)) % 0.36/0.75 (define @t137 () (@var "V1A_2E0" $$unsorted)) % 0.36/0.75 (define @t138 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool @t137))) % 0.36/0.75 (define @t139 () (@list @t134 @t137)) % 0.36/0.75 (define @t140 () (@var "V2p_2E0" $$unsorted)) % 0.36/0.75 (define @t141 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool @t140))) % 0.36/0.75 (define @t142 () (not @t141)) % 0.36/0.75 (define @t143 () (tptp.s tptp.tyop_2Emin_2Ebool @t120)) % 0.36/0.75 (define @t144 () (tptp.p @t143)) % 0.36/0.75 (define @t145 () (not @t144)) % 0.36/0.75 (define @t146 () (@var "V0r_2E0" $$unsorted)) % 0.36/0.75 (define @t147 () (tptp.s tptp.tyop_2Emin_2Ebool @t146)) % 0.36/0.75 (define @t148 () (tptp.p @t147)) % 0.36/0.75 (define @t149 () (not @t148)) % 0.36/0.75 (define @t150 () (@list @t146 @t120 @t140)) % 0.36/0.75 (define @t151 () (or @t141 @t149)) % 0.36/0.75 (define @t152 () (@var "V1p_2E0" $$unsorted)) % 0.36/0.75 (define @t153 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool @t152))) % 0.36/0.75 (define @t154 () (@var "V0q_2E0" $$unsorted)) % 0.36/0.75 (define @t155 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool @t154))) % 0.36/0.75 (define @t156 () (not @t155)) % 0.36/0.75 (define @t157 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__divides_2E2 @t118 (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__sub_2E2 @t116 @t121))))) % 0.36/0.75 (define @t158 () (=> @t124 (= @t157 @t119))) % 0.36/0.75 (define @t159 () (forall @t125 @t158)) % 0.36/0.75 (define @t160 () (not @t159)) % 0.36/0.75 (define @t161 () (= @t13 @t15)) % 0.36/0.75 (define @t162 () (or (= @t42 @t16) @t161)) % 0.36/0.75 (define @t163 () (= @t119 @t157)) % 0.36/0.75 (define @t164 () (not @t124)) % 0.36/0.75 (define @t165 () (forall @t125 (or @t164 @t163))) % 0.36/0.75 (define @t166 () (@quantifiers_skolemize @t165 1)) % 0.36/0.75 (define @t167 () (tptp.s tptp.tyop_2Einteger_2Eint @t166)) % 0.36/0.75 (define @t168 () (@quantifiers_skolemize @t165 0)) % 0.36/0.75 (define @t169 () (tptp.s tptp.tyop_2Einteger_2Eint @t168)) % 0.36/0.75 (define @t170 () (tptp.c_2Einteger_2Eint__divides_2E2 @t169 @t167)) % 0.36/0.75 (define @t171 () (tptp.s tptp.tyop_2Emin_2Ebool @t170)) % 0.36/0.75 (define @t172 () (tptp.p @t171)) % 0.36/0.75 (define @t173 () (@quantifiers_skolemize @t165 2)) % 0.36/0.75 (define @t174 () (tptp.s tptp.tyop_2Einteger_2Eint @t173)) % 0.36/0.75 (define @t175 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__divides_2E2 @t169 @t174))) % 0.36/0.75 (define @t176 () (= @t175 (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__divides_2E2 @t169 (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__sub_2E2 @t174 @t167)))))) % 0.36/0.75 (define @t177 () (not @t172)) % 0.36/0.75 (define @t178 () (or @t177 @t176)) % 0.36/0.75 (define @t179 () (@list true)) % 0.36/0.75 (define @t180 () (@list @t178)) % 0.36/0.75 (define @t181 () (or @t79 @t25)) % 0.36/0.75 (define @t182 () (= @t79 @t181)) % 0.36/0.75 (define @t183 () (forall @t31 @t182)) % 0.36/0.75 (define @t184 () (@list @t27)) % 0.36/0.75 (define @t185 () (forall @t31 @t23)) % 0.36/0.75 (define @t186 () (= @t23 (or @t26 @t78))) % 0.36/0.75 (define @t187 () (forall @t31 @t186)) % 0.36/0.75 (define @t188 () (= @t23 (or @t79 @t23))) % 0.36/0.75 (define @t189 () (forall @t31 @t188)) % 0.36/0.75 (define @t190 () (= @t78 (or @t88 @t78))) % 0.36/0.75 (define @t191 () (forall @t31 @t190)) % 0.36/0.75 (define @t192 () (and @t191 @t189 @t187 @t185 @t183)) % 0.36/0.75 (define @t193 () (and @t190 @t188 @t186 (= @t23 true) (= @t181 @t79))) % 0.36/0.75 (define @t194 () (= @t23 @t82)) % 0.36/0.75 (define @t195 () (= @t23 @t83)) % 0.36/0.75 (define @t196 () (= @t23 @t84)) % 0.36/0.75 (define @t197 () (= @t78 @t85)) % 0.36/0.75 (define @t198 () (and @t197 @t196 @t195 @t194 @t81)) % 0.36/0.75 (define @t199 () (= @t23 @t177)) % 0.36/0.75 (define @t200 () (not @t199)) % 0.36/0.75 (define @t201 () (= @t22 @t171)) % 0.36/0.75 (define @t202 () (or @t199 @t201)) % 0.36/0.75 (define @t203 () (@list true false)) % 0.36/0.75 (define @t204 () (= @t123 @t127)) % 0.36/0.75 (define @t205 () (forall @t130 @t204)) % 0.36/0.75 (define @t206 () (@list @t117 @t120)) % 0.36/0.75 (define @t207 () (= @t123 @t128)) % 0.36/0.75 (define @t208 () (forall @t130 @t207)) % 0.36/0.75 (define @t209 () (and @t208 @t205)) % 0.36/0.75 (define @t210 () (= @t79 @t91)) % 0.36/0.75 (define @t211 () (forall @t31 @t210)) % 0.36/0.75 (define @t212 () (= @t78 @t93)) % 0.36/0.75 (define @t213 () (forall @t31 @t212)) % 0.36/0.75 (define @t214 () (and @t213 @t211)) % 0.36/0.75 (define @t215 () (and @t212 @t210)) % 0.36/0.75 (define @t216 () (and @t212 @t212 @t210 @t210)) % 0.36/0.75 (define @t217 () (tptp.c_2Einteger_2Eint__neg_2E1 @t167)) % 0.36/0.75 (define @t218 () (tptp.s tptp.tyop_2Einteger_2Eint @t217)) % 0.36/0.75 (define @t219 () (tptp.c_2Einteger_2Eint__divides_2E2 @t169 @t218)) % 0.36/0.75 (define @t220 () (tptp.c_2Einteger_2Eint__divides_2E2 @t169 (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__add_2E2 @t174 @t218)))) % 0.36/0.75 (define @t221 () (tptp.s tptp.tyop_2Emin_2Ebool @t220)) % 0.36/0.75 (define @t222 () (tptp.s tptp.tyop_2Emin_2Ebool @t219)) % 0.36/0.75 (define @t223 () (tptp.p @t222)) % 0.36/0.75 (define @t224 () (not @t223)) % 0.36/0.75 (define @t225 () (or @t224 (= @t221 @t175))) % 0.36/0.75 (define @t226 () (forall @t125 (or @t164 @t122))) % 0.36/0.75 (define @t227 () (= @t175 @t221)) % 0.36/0.75 (define @t228 () (or @t224 @t227)) % 0.36/0.75 (define @t229 () (= @t22 @t222)) % 0.36/0.75 (define @t230 () (= @t223 @t229)) % 0.36/0.75 (define @t231 () (not @t229)) % 0.36/0.75 (define @t232 () (= @t171 @t222)) % 0.36/0.75 (define @t233 () (and @t201 @t232)) % 0.36/0.75 (assume @p1 (forall (@list @t3 @t2 @t6 @t1) (=> (forall @t11 (= (tptp.s @t2 (tptp.app_2E2 @t7 @t9)) @t10)) (= @t7 @t5)))) % 0.36/0.75 (assume @p2 @t21) % 0.36/0.75 (assume @p3 @t23) % 0.36/0.75 (assume @p4 @t26) % 0.36/0.75 (assume @p5 (forall @t31 (or @t30 @t29))) % 0.36/0.75 (assume @p6 (forall (@list @t3 @t32) (= (tptp.s @t3 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t3) tptp.combin_i_2E0) @t33)) @t33))) % 0.36/0.75 (assume @p7 (forall (@list @t3 @t2 @t32 @t34) (= (tptp.s @t3 (tptp.app_2E2 (tptp.s @t35 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t35) tptp.combin_k_2E0) @t33)) (tptp.s @t2 @t34))) @t33))) % 0.36/0.75 (assume @p8 (forall (@list @t3 @t2 @t36 @t6 @t1 @t8) (= (tptp.s @t36 (tptp.app_2E2 (tptp.s @t40 (tptp.app_2E2 (tptp.s @t41 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t38 @t41) tptp.combin_s_2E0) @t39)) @t5)) @t9)) (tptp.s @t36 (tptp.app_2E2 (tptp.s @t37 (tptp.app_2E2 @t39 @t9)) @t10))))) % 0.36/0.75 (assume @p9 (forall @t20 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_2F_5C_2E2 @t15 @t13))) (and @t17 @t16)))) % 0.36/0.75 (assume @p10 (forall @t20 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_5C_2F_2E2 @t15 @t13))) (or @t17 @t16)))) % 0.36/0.75 (assume @p11 (forall (@list @t14) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_7E_2E1 @t15))) @t42))) % 0.36/0.75 (assume @p12 (forall @t20 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_3D_3E_2E2 @t15 @t13))) (=> @t17 @t16)))) % 0.36/0.75 (assume @p13 (forall (@list @t3 @t14 @t12) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_2E2 @t44 @t43))) (= @t44 @t43)))) % 0.36/0.75 (assume @p14 (forall @t51 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t48))) (forall @t50 @t49)))) % 0.36/0.75 (assume @p15 (forall @t51 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t48))) (exists @t50 @t49)))) % 0.36/0.75 (assume @p16 (forall @t60 (= (and @t59 @t58) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t56 (tptp.app_2E2 (tptp.s @t57 tptp.c_2Ebool_2E_2F_5C_2E0) @t55)) @t53)))))) % 0.36/0.75 (assume @p17 (forall @t60 (= (or @t59 @t58) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t56 (tptp.app_2E2 (tptp.s @t57 tptp.c_2Ebool_2E_5C_2F_2E0) @t55)) @t53)))))) % 0.36/0.75 (assume @p18 (forall @t61 (= (not @t59) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t56 tptp.c_2Ebool_2E_7E_2E0) @t55)))))) % 0.36/0.75 (assume @p19 (forall @t60 (= (=> @t59 @t58) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t56 (tptp.app_2E2 (tptp.s @t57 tptp.c_2Emin_2E_3D_3D_3E_2E0) @t55)) @t53)))))) % 0.36/0.75 (assume @p20 (forall (@list @t3 @t54 @t52) (= (= @t63 @t62) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t47 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t47) tptp.c_2Emin_2E_3D_2E0) @t63)) @t62)))))) % 0.36/0.75 (assume @p21 (forall @t66 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t64)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t65 tptp.c_2Ebool_2E_21_2E0) @t64))))) % 0.36/0.75 (assume @p22 (forall @t66 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t64)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t65 tptp.c_2Ebool_2E_3F_2E0) @t64))))) % 0.36/0.75 (assume @p23 (forall @t60 (= (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__add_2E2 @t68 @t67)) (tptp.s tptp.tyop_2Einteger_2Eint (tptp.app_2E2 (tptp.s @t69 (tptp.app_2E2 (tptp.s @t70 tptp.c_2Einteger_2Eint__add_2E0) @t68)) @t67))))) % 0.36/0.75 (assume @p24 (forall @t61 (= (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__neg_2E1 @t68)) (tptp.s tptp.tyop_2Einteger_2Eint (tptp.app_2E2 (tptp.s @t69 tptp.c_2Einteger_2Eint__neg_2E0) @t68))))) % 0.36/0.75 (assume @p25 (forall @t60 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Einteger_2Eint__divides_2E2 @t68 @t67)) (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__divides_2E0) @t68)) @t67))))) % 0.36/0.75 (assume @p26 (forall @t60 (= (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__sub_2E2 @t68 @t67)) (tptp.s tptp.tyop_2Einteger_2Eint (tptp.app_2E2 (tptp.s @t69 (tptp.app_2E2 (tptp.s @t70 tptp.c_2Einteger_2Eint__sub_2E0) @t68)) @t67))))) % 0.36/0.75 (assume @p27 (forall (@list @t74 @t72) (=> (=> @t76 @t77) (=> (=> @t77 @t76) (= @t75 @t73))))) % 0.36/0.75 (assume @p28 (forall @t31 (=> @t80 @t79))) % 0.36/0.75 (assume @p29 (forall @t31 (=> @t79 @t80))) % 0.36/0.75 (assume @p30 @t87) % 0.36/0.75 (assume @p31 (and @t89 (= @t88 @t25) (= @t26 @t23))) % 0.36/0.75 (assume @p32 @t95) % 0.36/0.75 (assume @p33 (forall (@list @t3 @t96) (= (not (forall @t50 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t97 @t46))))) (exists @t11 (not @t98))))) % 0.36/0.75 (assume @p34 (forall (@list @t3 @t96 @t100) (= (forall @t11 (and @t98 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t101 @t9))))) (and (forall (@list @t102) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t97 (tptp.s @t3 @t102))))) (forall (@list @t99) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t101 (tptp.s @t3 @t99))))))))) % 0.36/0.75 (assume @p35 (forall (@list @t106 @t104 @t103) (= @t108 @t108))) % 0.36/0.75 (assume @p36 (forall @t110 (= @t109 (or @t105 @t107)))) % 0.36/0.75 (assume @p37 (forall @t110 (and (= (not (and @t107 @t105)) (or @t112 @t111)) (= (not @t109) (and @t112 @t111))))) % 0.36/0.75 (assume @p38 (forall (@list @t32 @t34) (= (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__sub_2E2 @t114 @t113)) (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__add_2E2 @t114 (tptp.s tptp.tyop_2Einteger_2Eint (tptp.c_2Einteger_2Eint__neg_2E1 @t113))))))) % 0.36/0.75 (assume @p39 @t126) % 0.36/0.75 (assume @p40 @t131) % 0.36/0.75 (assume @p41 @t89) % 0.36/0.75 (assume @p42 (forall @t133 (=> @t107 @t132))) % 0.36/0.75 (assume @p43 (forall @t139 (= (=> (not (or @t138 @t135)) @t25) (=> (=> @t138 @t25) @t136)))) % 0.36/0.75 (assume @p44 (forall @t139 (= (=> (not (or (not @t138) @t135)) @t25) (=> @t138 @t136)))) % 0.36/0.75 (assume @p45 (forall @t133 (=> @t132 (=> (=> @t107 @t25) @t25)))) % 0.36/0.75 (assume @p46 (forall @t150 (= (= @t141 (= @t143 @t147)) (and (or @t141 @t144 @t148) (or @t141 @t149 @t145) (or @t144 @t149 @t142) (or @t148 @t145 @t142))))) % 0.36/0.75 (assume @p47 (forall @t150 (= (= @t141 (and @t144 @t148)) (and (or @t141 @t145 @t149) (or @t144 @t142) (or @t148 @t142))))) % 0.36/0.75 (assume @p48 (forall @t150 (= (= @t141 (or @t144 @t148)) (and (or @t141 @t145) @t151 (or @t144 @t148 @t142))))) % 0.36/0.75 (assume @p49 (forall @t150 (= (= @t141 (=> @t144 @t148)) (and (or @t141 @t144) @t151 (or @t145 @t148 @t142))))) % 0.36/0.75 (assume @p50 (forall (@list @t154 @t152) (= (= @t153 @t156) (and (or @t153 @t155) (or @t156 (not @t153)))))) % 0.36/0.75 (assume @p51 @t160) % 0.36/0.75 (assume @p52 true) % 0.36/0.75 (step @p53 :rule refl :args (@t161)) % 0.36/0.75 (step @p54 :rule eq-symm :args (@t42 @t16)) % 0.36/0.75 (step @p55 :rule nary_cong :premises (@p54 @p53) :args (@t162)) % 0.36/0.75 (step @p56 :rule cong :premises (@p55) :args ((forall @t20 @t162))) % 0.36/0.75 (step @p57 :rule refl :args (@t161)) % 0.36/0.75 (step @p58 :rule bool-not-eq-elim1 :args (@t17 @t16)) % 0.36/0.75 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or (not @t18) @t161))) % 0.36/0.75 (step @p60 :rule bool-impl-elim :args (@t18 @t161)) % 0.36/0.75 (step @p61 :rule trans :premises (@p60 @p59)) % 0.36/0.75 (step @p62 :rule cong :premises (@p61) :args ((forall @t20 (=> @t18 @t161)))) % 0.36/0.75 (step @p63 :rule trans :premises (@p62 @p56)) % 0.36/0.75 (step @p64 :rule eq-symm :args (@t15 @t13)) % 0.36/0.75 (step @p65 :rule refl :args (@t18)) % 0.36/0.75 (step @p66 :rule cong :premises (@p65 @p64) :args (@t19)) % 0.36/0.75 (step @p67 :rule cong :premises (@p66) :args (@t21)) % 0.36/0.75 (step @p68 :rule trans :premises (@p67 @p63)) % 0.36/0.75 (step @p69 :rule eq_resolve :premises (@p2 @p68)) % 0.36/0.75 (step @p70 :rule instantiate :premises (@p69) :args ((@list @t170 tptp.c_2Ebool_2ET_2E0))) % 0.36/0.75 (step @p71 :rule bool-impl-elim :args (@t124 @t163)) % 0.36/0.75 (step @p72 :rule cong :premises (@p71) :args ((forall @t125 (=> @t124 @t163)))) % 0.36/0.75 (step @p73 :rule eq-symm :args (@t157 @t119)) % 0.36/0.75 (step @p74 :rule refl :args (@t124)) % 0.36/0.75 (step @p75 :rule cong :premises (@p74 @p73) :args (@t158)) % 0.36/0.75 (step @p76 :rule cong :premises (@p75) :args (@t159)) % 0.36/0.75 (step @p77 :rule trans :premises (@p76 @p72)) % 0.36/0.75 (step @p78 :rule cong :premises (@p77) :args (@t160)) % 0.36/0.75 (step @p79 :rule eq_resolve :premises (@p51 @p78)) % 0.36/0.75 (step @p80 :rule skolemize :premises (@p79)) % 0.36/0.75 (step @p81 :rule bool-double-not-elim :args (@t172)) % 0.36/0.75 (step @p82 :rule refl :args (@t178)) % 0.36/0.75 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t178 (not @t177)))) % 0.36/0.75 (step @p84 :rule cnf_or_neg :args (@t178 0)) % 0.36/0.75 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 0.36/0.75 (step @p86 :rule reordering :premises (@p85) :args ((or @t172 @t178))) % 0.36/0.75 (step @p87 :rule chain_m_resolution :premises (@p86 @p80) :args (@t172 @t179 @t180)) % 0.36/0.75 (step @p88 :rule alpha_equiv :args (@t183 @t184 (@list (@var "BOUND_VARIABLE_8071" $$unsorted)))) % 0.36/0.75 (step @p89 :rule quant-unused-vars :args ((= @t185 @t23))) % 0.36/0.75 (step @p90 :rule alpha_equiv :args (@t187 @t184 (@list (@var "BOUND_VARIABLE_8062" $$unsorted)))) % 0.36/0.75 (step @p91 :rule alpha_equiv :args (@t189 @t184 (@list (@var "BOUND_VARIABLE_8053" $$unsorted)))) % 0.36/0.75 (step @p92 :rule alpha_equiv :args (@t191 @t184 (@list (@var "BOUND_VARIABLE_8045" $$unsorted)))) % 0.36/0.75 (step @p93 :rule nary_cong :premises (@p92 @p91 @p90 @p89 @p88) :args (@t192)) % 0.36/0.75 (step @p94 :rule quant-miniscope-and :args ((= (forall @t31 (and @t190 @t188 @t186 @t23 @t182)) @t192))) % 0.36/0.75 (step @p95 :rule trans :premises (@p94 @p93)) % 0.36/0.75 (step @p96 :rule eq-symm :args (@t181 @t79)) % 0.36/0.75 (step @p97 :rule bool-eq-true :args (@t23)) % 0.36/0.75 (step @p98 :rule refl :args (@t186)) % 0.36/0.75 (step @p99 :rule refl :args (@t188)) % 0.36/0.75 (step @p100 :rule refl :args (@t190)) % 0.36/0.75 (step @p101 :rule nary_cong :premises (@p100 @p99 @p98 @p97 @p96) :args (@t193)) % 0.36/0.75 (step @p102 :rule cong :premises (@p101) :args ((forall @t31 @t193))) % 0.36/0.75 (step @p103 :rule trans :premises (@p102 @p95)) % 0.36/0.75 (step @p104 :rule refl :args (@t79)) % 0.36/0.75 (step @p105 :rule bool-impl-elim :args (@t78 @t25)) % 0.36/0.75 (step @p106 :rule cong :premises (@p105 @p104) :args (@t81)) % 0.36/0.75 (step @p107 :rule bool-or-taut2 :args (false @t78 false false)) % 0.36/0.75 (step @p108 :rule bool-impl-elim :args (@t78 @t78)) % 0.36/0.75 (step @p109 :rule trans :premises (@p108 @p107)) % 0.36/0.75 (step @p110 :rule refl :args (@t23)) % 0.36/0.75 (step @p111 :rule cong :premises (@p110 @p109) :args (@t194)) % 0.36/0.75 (step @p112 :rule bool-impl-elim :args (@t25 @t78)) % 0.36/0.75 (step @p113 :rule cong :premises (@p110 @p112) :args (@t195)) % 0.36/0.75 (step @p114 :rule bool-impl-elim :args (@t78 @t23)) % 0.36/0.75 (step @p115 :rule cong :premises (@p110 @p114) :args (@t196)) % 0.36/0.75 (step @p116 :rule bool-impl-elim :args (@t23 @t78)) % 0.36/0.75 (step @p117 :rule refl :args (@t78)) % 0.36/0.75 (step @p118 :rule cong :premises (@p117 @p116) :args (@t197)) % 0.36/0.75 (step @p119 :rule nary_cong :premises (@p118 @p115 @p113 @p111 @p106) :args (@t198)) % 0.36/0.75 (step @p120 :rule cong :premises (@p119) :args ((forall @t31 @t198))) % 0.36/0.75 (step @p121 :rule trans :premises (@p120 @p103)) % 0.36/0.75 (step @p122 :rule refl :args (@t81)) % 0.36/0.75 (step @p123 :rule eq-symm :args (@t82 @t23)) % 0.36/0.75 (step @p124 :rule eq-symm :args (@t83 @t23)) % 0.36/0.75 (step @p125 :rule eq-symm :args (@t84 @t23)) % 0.36/0.75 (step @p126 :rule eq-symm :args (@t85 @t78)) % 0.36/0.75 (step @p127 :rule nary_cong :premises (@p126 @p125 @p124 @p123 @p122) :args (@t86)) % 0.36/0.75 (step @p128 :rule cong :premises (@p127) :args (@t87)) % 0.36/0.75 (step @p129 :rule trans :premises (@p128 @p121)) % 0.36/0.75 (step @p130 :rule eq_resolve :premises (@p30 @p129)) % 0.36/0.75 (step @p131 :rule and_elim :premises (@p130) :args (3)) % 0.36/0.75 (step @p132 :rule cnf_equiv_pos1 :args (@t199)) % 0.36/0.75 (step @p133 :rule reordering :premises (@p132) :args ((or @t88 @t177 @t200))) % 0.36/0.75 (step @p134 :rule chain_m_resolution :premises (@p133 @p131 @p87) :args (@t200 (@list false false) (@list @t23 @t172))) % 0.36/0.75 (step @p135 :rule cnf_or_pos :args (@t202)) % 0.36/0.75 (step @p136 :rule reordering :premises (@p135) :args ((or @t199 @t201 (not @t202)))) % 0.36/0.75 (step @p137 :rule chain_m_resolution :premises (@p136 @p134 @p70) :args (@t201 @t203 (@list @t199 @t202))) % 0.36/0.75 (step @p138 :rule alpha_equiv :args (@t205 @t206 (@list (@var "BOUND_VARIABLE_8173" $$unsorted) (@var "BOUND_VARIABLE_8175" $$unsorted)))) % 0.36/0.75 (step @p139 :rule alpha_equiv :args (@t208 @t206 (@list (@var "BOUND_VARIABLE_8158" $$unsorted) (@var "BOUND_VARIABLE_8160" $$unsorted)))) % 0.36/0.75 (step @p140 :rule nary_cong :premises (@p139 @p138) :args (@t209)) % 0.36/0.75 (step @p141 :rule quant-miniscope-and :args ((= (forall @t130 (and @t207 @t204)) @t209))) % 0.36/0.75 (step @p142 :rule trans :premises (@p141 @p140)) % 0.36/0.75 (step @p143 :rule eq-symm :args (@t127 @t123)) % 0.36/0.75 (step @p144 :rule eq-symm :args (@t128 @t123)) % 0.36/0.75 (step @p145 :rule nary_cong :premises (@p144 @p143) :args (@t129)) % 0.36/0.75 (step @p146 :rule cong :premises (@p145) :args (@t131)) % 0.36/0.75 (step @p147 :rule trans :premises (@p146 @p142)) % 0.36/0.75 (step @p148 :rule eq_resolve :premises (@p40 @p147)) % 0.36/0.75 (step @p149 :rule and_elim :premises (@p148) :args (0)) % 0.36/0.75 (step @p150 :rule instantiate :premises (@p149) :args ((@list @t168 @t166))) % 0.36/0.75 (step @p151 :rule alpha_equiv :args (@t211 @t184 (@list (@var "BOUND_VARIABLE_8101" $$unsorted)))) % 0.36/0.75 (step @p152 :rule alpha_equiv :args (@t213 @t184 (@list (@var "BOUND_VARIABLE_8093" $$unsorted)))) % 0.36/0.75 (step @p153 :rule nary_cong :premises (@p152 @p151) :args (@t214)) % 0.36/0.75 (step @p154 :rule quant-miniscope-and :args ((= (forall @t31 @t215) @t214))) % 0.36/0.75 (step @p155 :rule trans :premises (@p154 @p153)) % 0.36/0.75 (step @p156 :rule aci_norm :args ((= @t216 @t215))) % 0.36/0.75 (step @p157 :rule cong :premises (@p156) :args ((forall @t31 @t216))) % 0.36/0.75 (step @p158 :rule trans :premises (@p157 @p155)) % 0.36/0.75 (step @p159 :rule eq-symm :args (@t91 @t79)) % 0.36/0.75 (step @p160 :rule refl :args (@t79)) % 0.36/0.75 (step @p161 :rule eq-symm :args (@t28 @t24)) % 0.36/0.75 (step @p162 :rule cong :premises (@p161 @p160) :args (@t90)) % 0.36/0.75 (step @p163 :rule trans :premises (@p162 @p159)) % 0.36/0.75 (step @p164 :rule eq-symm :args (@t93 @t78)) % 0.36/0.75 (step @p165 :rule refl :args (@t78)) % 0.36/0.75 (step @p166 :rule eq-symm :args (@t28 @t22)) % 0.36/0.75 (step @p167 :rule cong :premises (@p166 @p165) :args (@t92)) % 0.36/0.75 (step @p168 :rule trans :premises (@p167 @p164)) % 0.36/0.75 (step @p169 :rule nary_cong :premises (@p164 @p168 @p159 @p163) :args (@t94)) % 0.36/0.75 (step @p170 :rule cong :premises (@p169) :args (@t95)) % 0.36/0.75 (step @p171 :rule trans :premises (@p170 @p158)) % 0.36/0.75 (step @p172 :rule eq_resolve :premises (@p32 @p171)) % 0.36/0.75 (step @p173 :rule and_elim :premises (@p172) :args (0)) % 0.36/0.75 (step @p174 :rule instantiate :premises (@p173) :args ((@list @t219))) % 0.36/0.75 (step @p175 :rule bool-impl-elim :args (@t124 @t122)) % 0.36/0.75 (step @p176 :rule cong :premises (@p175) :args (@t126)) % 0.36/0.75 (step @p177 :rule eq_resolve :premises (@p39 @p176)) % 0.36/0.75 (step @p178 :rule eq-symm :args (@t221 @t175)) % 0.36/0.75 (step @p179 :rule refl :args (@t224)) % 0.36/0.75 (step @p180 :rule nary_cong :premises (@p179 @p178) :args (@t225)) % 0.36/0.75 (step @p181 :rule refl :args (@t226)) % 0.36/0.75 (step @p182 :rule cong :premises (@p181 @p180) :args ((=> @t226 @t225))) % 0.36/0.75 (assume-push @p220 @t226) % 0.36/0.75 (step @p184 :rule instantiate :premises (@p177) :args ((@list @t168 @t217 @t173))) % 0.36/0.75 (step-pop @p221 :rule scope :premises (@p184)) % 0.36/0.75 (step @p185 :rule process_scope :premises (@p221) :args (@t225)) % 0.36/0.75 (step @p187 :rule eq_resolve :premises (@p185 @p182)) % 0.36/0.75 (step @p188 :rule implies_elim :premises (@p187)) % 0.36/0.75 (step @p189 :rule chain_m_resolution :premises (@p188 @p177) :args (@t228 (@list false) (@list @t226))) % 0.36/0.75 (step @p190 :rule cnf_or_neg :args (@t178 1)) % 0.36/0.75 (step @p191 :rule chain_m_resolution :premises (@p190 @p80) :args ((not @t176) @t179 @t180)) % 0.36/0.75 (step @p192 :rule false_intro :premises (@p191)) % 0.36/0.75 (step @p193 :rule instantiate :premises (@p38) :args ((@list @t173 @t166))) % 0.36/0.75 (step @p194 :rule symm :premises (@p193)) % 0.36/0.75 (step @p195 :rule refl :args (@t169)) % 0.36/0.75 (step @p196 :rule cong :premises (@p195 @p194) :args (@t220)) % 0.36/0.75 (step @p197 :rule refl :args (tptp.tyop_2Emin_2Ebool)) % 0.36/0.75 (step @p198 :rule cong :premises (@p197 @p196) :args (@t221)) % 0.36/0.75 (step @p199 :rule refl :args (@t175)) % 0.36/0.75 (step @p200 :rule cong :premises (@p199 @p198) :args (@t227)) % 0.36/0.75 (step @p201 :rule trans :premises (@p200 @p192)) % 0.36/0.75 (step @p202 :rule false_elim :premises (@p201)) % 0.36/0.75 (step @p203 :rule cnf_or_pos :args (@t228)) % 0.36/0.75 (step @p204 :rule reordering :premises (@p203) :args ((or @t224 @t227 (not @t228)))) % 0.36/0.75 (step @p205 :rule chain_m_resolution :premises (@p204 @p202 @p189) :args (@t224 @t203 (@list @t227 @t228))) % 0.36/0.75 (step @p206 :rule cnf_equiv_pos2 :args (@t230)) % 0.36/0.75 (step @p207 :rule reordering :premises (@p206) :args ((or @t223 @t231 (not @t230)))) % 0.36/0.75 (step @p208 :rule chain_m_resolution :premises (@p207 @p205 @p174) :args (@t231 @t203 (@list @t223 @t230))) % 0.36/0.75 (assume-push @p222 @t201) % 0.36/0.75 (assume-push @p223 @t232) % 0.36/0.75 (step @p211 :rule trans :premises (@p137 @p150)) % 0.36/0.75 (step-pop @p224 :rule scope :premises (@p211)) % 0.36/0.75 (step-pop @p225 :rule scope :premises (@p224)) % 0.36/0.75 (step @p212 :rule process_scope :premises (@p225) :args (@t229)) % 0.36/0.75 (step @p215 :rule implies_elim :premises (@p212)) % 0.36/0.75 (step @p216 :rule cnf_and_neg :args (@t233)) % 0.36/0.75 (step @p217 :rule resolution :premises (@p216 @p215) :args (true @t233)) % 0.36/0.75 (step @p218 :rule reordering :premises (@p217) :args ((or (not @t201) @t229 (not @t232)))) % 0.36/0.75 (step @p219 false :rule chain_m_resolution :premises (@p218 @p208 @p150 @p137) :args (false (@list true false false) (@list @t229 @t232 @t201))) % 0.36/0.75 ) % 0.36/0.75 % SZS output end Proof % 0.36/0.75 % cvc5 exiting %------------------------------------------------------------------------------