%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP021+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 : n012.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 08:24:44 AM UTC 2026 % Result : Theorem 38.32s 38.50s % Output : Proof 38.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : ITP021+1 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n012.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 04:01:18 EDT 2026 % 0.06/0.25 % CPUTime : % 0.16/0.35 %----Proving TF0_NAR, FOF, or CNF % 38.32/38.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 38.32/38.50 --- Run --no-e-matching --full-saturate-quant at 6... % 38.32/38.50 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 38.32/38.50 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 38.32/38.50 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 38.32/38.50 % SZS status Theorem % 38.32/38.50 % SZS output start Proof % 38.32/38.50 ( % 38.32/38.50 (declare-sort $$unsorted 0) % 38.32/38.50 (declare-const tptp.c_2Ebool_2ECOND_2E0 $$unsorted) % 38.32/38.50 (declare-const tptp.combin_s_2E0 $$unsorted) % 38.32/38.50 (declare-const tptp.combin_k_2E0 $$unsorted) % 38.32/38.50 (declare-const tptp.tyop_2Eextreal_2Eextreal $$unsorted) % 38.32/38.50 (declare-const tptp.combin_i_2E0 $$unsorted) % 38.32/38.50 (declare-const tptp.p (-> $$unsorted Bool)) % 38.32/38.50 (declare-const tptp.c_2Eextreal_2Eextreal__max_2E0 $$unsorted) % 38.32/38.50 (declare-const tptp.tyop_2Emin_2Ebool $$unsorted) % 38.32/38.50 (declare-const tptp.c_2Ebool_2E_7E_2E1 (-> $$unsorted $$unsorted)) % 38.32/38.50 (declare-const tptp.c_2Emin_2E_3D_3D_3E_2E0 $$unsorted) % 38.32/38.50 (declare-const tptp.c_2Eextreal_2Eextreal__max_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 38.32/38.50 (declare-const tptp.c_2Ebool_2EF_2E0 $$unsorted) % 38.32/38.50 (declare-const tptp.s (-> $$unsorted $$unsorted $$unsorted)) % 38.32/38.50 (declare-const tptp.c_2Ebool_2ECOND_2E3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 38.32/38.50 (declare-const tptp.c_2Ebool_2E_3F_2E1 (-> $$unsorted $$unsorted)) % 38.32/38.50 (declare-const tptp.c_2Ebool_2ET_2E0 $$unsorted) % 38.32/38.50 (declare-const tptp.c_2Ebool_2E_2F_5C_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 38.32/38.50 (declare-const tptp.c_2Eextreal_2Eextreal__le_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 38.32/38.50 (declare-const tptp.tyop_2Emin_2Efun (-> $$unsorted $$unsorted $$unsorted)) % 38.32/38.50 (declare-const tptp.c_2Emin_2E_3D_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 38.32/38.50 (declare-const tptp.c_2Eextreal_2Eextreal__le_2E0 $$unsorted) % 38.32/38.50 (declare-const tptp.c_2Ebool_2E_21_2E1 (-> $$unsorted $$unsorted)) % 38.32/38.50 (declare-const tptp.app_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 38.32/38.50 (declare-const tptp.c_2Ebool_2E_2F_5C_2E0 $$unsorted) % 38.32/38.50 (declare-const tptp.c_2Ebool_2E_7E_2E0 $$unsorted) % 38.32/38.50 (declare-const tptp.c_2Emin_2E_3D_3D_3E_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 38.32/38.50 (declare-const tptp.c_2Ebool_2E_5C_2F_2E0 $$unsorted) % 38.32/38.50 (declare-const tptp.c_2Emin_2E_3D_2E0 $$unsorted) % 38.32/38.50 (declare-const tptp.c_2Ebool_2E_5C_2F_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 38.32/38.50 (declare-const tptp.c_2Ebool_2E_21_2E0 $$unsorted) % 38.32/38.50 (declare-const tptp.c_2Ebool_2E_3F_2E0 $$unsorted) % 38.32/38.50 (define @t1 () (@var "V1g_2E0" $$unsorted)) % 38.32/38.50 (define @t2 () (@var "A_27b" $$unsorted)) % 38.32/38.50 (define @t3 () (@var "A_27a" $$unsorted)) % 38.32/38.50 (define @t4 () (tptp.tyop_2Emin_2Efun @t3 @t2)) % 38.32/38.50 (define @t5 () (tptp.s @t4 @t1)) % 38.32/38.50 (define @t6 () (@var "V0f_2E0" $$unsorted)) % 38.32/38.50 (define @t7 () (tptp.s @t4 @t6)) % 38.32/38.50 (define @t8 () (@var "V2x_2E0" $$unsorted)) % 38.32/38.50 (define @t9 () (tptp.s @t3 @t8)) % 38.32/38.50 (define @t10 () (tptp.s @t2 (tptp.app_2E2 @t5 @t9))) % 38.32/38.50 (define @t11 () (@var "V1_2E0" $$unsorted)) % 38.32/38.50 (define @t12 () (tptp.s tptp.tyop_2Emin_2Ebool @t11)) % 38.32/38.50 (define @t13 () (@var "V0_2E0" $$unsorted)) % 38.32/38.50 (define @t14 () (tptp.s tptp.tyop_2Emin_2Ebool @t13)) % 38.32/38.50 (define @t15 () (tptp.p @t12)) % 38.32/38.50 (define @t16 () (tptp.p @t14)) % 38.32/38.50 (define @t17 () (= @t16 @t15)) % 38.32/38.50 (define @t18 () (=> @t17 (= @t14 @t12))) % 38.32/38.50 (define @t19 () (@list @t13 @t11)) % 38.32/38.50 (define @t20 () (forall @t19 @t18)) % 38.32/38.50 (define @t21 () (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0)) % 38.32/38.50 (define @t22 () (tptp.p @t21)) % 38.32/38.50 (define @t23 () (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0)) % 38.32/38.50 (define @t24 () (tptp.p @t23)) % 38.32/38.50 (define @t25 () (not @t24)) % 38.32/38.50 (define @t26 () (@var "V0t_2E0" $$unsorted)) % 38.32/38.50 (define @t27 () (tptp.s tptp.tyop_2Emin_2Ebool @t26)) % 38.32/38.50 (define @t28 () (= @t27 @t23)) % 38.32/38.50 (define @t29 () (= @t27 @t21)) % 38.32/38.50 (define @t30 () (or @t29 @t28)) % 38.32/38.50 (define @t31 () (@list @t26)) % 38.32/38.50 (define @t32 () (forall @t31 @t30)) % 38.32/38.50 (define @t33 () (@var "V0x_2E0" $$unsorted)) % 38.32/38.50 (define @t34 () (tptp.s @t3 @t33)) % 38.32/38.50 (define @t35 () (tptp.tyop_2Emin_2Efun @t3 @t3)) % 38.32/38.50 (define @t36 () (@var "V1y_2E0" $$unsorted)) % 38.32/38.50 (define @t37 () (tptp.tyop_2Emin_2Efun @t2 @t3)) % 38.32/38.50 (define @t38 () (@var "A_27c" $$unsorted)) % 38.32/38.50 (define @t39 () (tptp.tyop_2Emin_2Efun @t2 @t38)) % 38.32/38.50 (define @t40 () (tptp.tyop_2Emin_2Efun @t3 @t39)) % 38.32/38.50 (define @t41 () (tptp.s @t40 @t6)) % 38.32/38.50 (define @t42 () (tptp.tyop_2Emin_2Efun @t3 @t38)) % 38.32/38.50 (define @t43 () (tptp.tyop_2Emin_2Efun @t4 @t42)) % 38.32/38.50 (define @t44 () (not @t16)) % 38.32/38.50 (define @t45 () (tptp.s @t3 @t11)) % 38.32/38.50 (define @t46 () (tptp.s @t3 @t13)) % 38.32/38.50 (define @t47 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_2E2 @t46 @t45)))) % 38.32/38.50 (define @t48 () (= @t47 (= @t46 @t45))) % 38.32/38.50 (define @t49 () (@list @t3 @t13 @t11)) % 38.32/38.50 (define @t50 () (forall @t49 @t48)) % 38.32/38.50 (define @t51 () (@var "V1x_2E0" $$unsorted)) % 38.32/38.50 (define @t52 () (tptp.tyop_2Emin_2Efun @t3 tptp.tyop_2Emin_2Ebool)) % 38.32/38.50 (define @t53 () (tptp.s @t52 @t6)) % 38.32/38.50 (define @t54 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t53 (tptp.s @t3 @t51))))) % 38.32/38.50 (define @t55 () (@list @t51)) % 38.32/38.50 (define @t56 () (@list @t3 @t6)) % 38.32/38.50 (define @t57 () (@var "X1_2E0" $$unsorted)) % 38.32/38.50 (define @t58 () (tptp.s tptp.tyop_2Emin_2Ebool @t57)) % 38.32/38.50 (define @t59 () (@var "X0_2E0" $$unsorted)) % 38.32/38.50 (define @t60 () (tptp.s tptp.tyop_2Emin_2Ebool @t59)) % 38.32/38.50 (define @t61 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool)) % 38.32/38.50 (define @t62 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool @t61)) % 38.32/38.50 (define @t63 () (tptp.p @t58)) % 38.32/38.50 (define @t64 () (tptp.p @t60)) % 38.32/38.50 (define @t65 () (@list @t59 @t57)) % 38.32/38.50 (define @t66 () (tptp.s @t3 @t57)) % 38.32/38.50 (define @t67 () (tptp.s @t3 @t59)) % 38.32/38.50 (define @t68 () (tptp.s @t52 @t59)) % 38.32/38.50 (define @t69 () (tptp.tyop_2Emin_2Efun @t52 tptp.tyop_2Emin_2Ebool)) % 38.32/38.50 (define @t70 () (@list @t3 @t59)) % 38.32/38.50 (define @t71 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t57)) % 38.32/38.50 (define @t72 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t59)) % 38.32/38.50 (define @t73 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal tptp.tyop_2Emin_2Ebool)) % 38.32/38.50 (define @t74 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal tptp.tyop_2Eextreal_2Eextreal)) % 38.32/38.50 (define @t75 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal @t74)) % 38.32/38.50 (define @t76 () (@var "X2_2E0" $$unsorted)) % 38.32/38.50 (define @t77 () (tptp.s @t3 @t76)) % 38.32/38.50 (define @t78 () (tptp.tyop_2Emin_2Efun @t3 @t35)) % 38.32/38.50 (define @t79 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t76)) % 38.32/38.50 (define @t80 () (@var "V1t2_2E0" $$unsorted)) % 38.32/38.50 (define @t81 () (tptp.s tptp.tyop_2Emin_2Ebool @t80)) % 38.32/38.50 (define @t82 () (@var "V0t1_2E0" $$unsorted)) % 38.32/38.50 (define @t83 () (tptp.s tptp.tyop_2Emin_2Ebool @t82)) % 38.32/38.50 (define @t84 () (tptp.p @t83)) % 38.32/38.50 (define @t85 () (tptp.p @t81)) % 38.32/38.50 (define @t86 () (tptp.p @t27)) % 38.32/38.50 (define @t87 () (=> @t24 @t86)) % 38.32/38.50 (define @t88 () (not @t86)) % 38.32/38.50 (define @t89 () (=> @t86 @t24)) % 38.32/38.50 (define @t90 () (=> @t86 @t86)) % 38.32/38.50 (define @t91 () (=> @t86 @t22)) % 38.32/38.50 (define @t92 () (=> @t22 @t86)) % 38.32/38.50 (define @t93 () (and (= @t92 @t86) (= @t91 @t22) (= @t87 @t22) (= @t90 @t22) (= @t89 @t88))) % 38.32/38.50 (define @t94 () (forall @t31 @t93)) % 38.32/38.50 (define @t95 () (not @t22)) % 38.32/38.50 (define @t96 () (forall @t31 (= (not @t88) @t86))) % 38.32/38.50 (define @t97 () (tptp.s @t3 @t36)) % 38.32/38.50 (define @t98 () (= @t28 @t88)) % 38.32/38.50 (define @t99 () (= @t23 @t27)) % 38.32/38.50 (define @t100 () (= @t29 @t86)) % 38.32/38.50 (define @t101 () (= @t21 @t27)) % 38.32/38.50 (define @t102 () (and (= @t101 @t86) @t100 (= @t99 @t88) @t98)) % 38.32/38.50 (define @t103 () (forall @t31 @t102)) % 38.32/38.50 (define @t104 () (tptp.s @t3 @t80)) % 38.32/38.50 (define @t105 () (tptp.s @t3 @t82)) % 38.32/38.50 (define @t106 () (tptp.s @t3 (tptp.c_2Ebool_2ECOND_2E3 @t23 @t105 @t104))) % 38.32/38.50 (define @t107 () (tptp.s @t3 (tptp.c_2Ebool_2ECOND_2E3 @t21 @t105 @t104))) % 38.32/38.50 (define @t108 () (and (= @t107 @t105) (= @t106 @t104))) % 38.32/38.50 (define @t109 () (@list @t3 @t82 @t80)) % 38.32/38.50 (define @t110 () (forall @t109 @t108)) % 38.32/38.50 (define @t111 () (@var "V2C_2E0" $$unsorted)) % 38.32/38.50 (define @t112 () (@var "V1B_2E0" $$unsorted)) % 38.32/38.50 (define @t113 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool @t112))) % 38.32/38.50 (define @t114 () (@var "V0A_2E0" $$unsorted)) % 38.32/38.50 (define @t115 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool @t114))) % 38.32/38.50 (define @t116 () (or @t115 @t113 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool @t111)))) % 38.32/38.50 (define @t117 () (or @t115 @t113)) % 38.32/38.50 (define @t118 () (@list @t114 @t112)) % 38.32/38.50 (define @t119 () (not @t113)) % 38.32/38.50 (define @t120 () (not @t115)) % 38.32/38.50 (define @t121 () (@var "V2z_2E0" $$unsorted)) % 38.32/38.50 (define @t122 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t121)) % 38.32/38.50 (define @t123 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t33)) % 38.32/38.50 (define @t124 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eextreal_2Eextreal__le_2E2 @t123 @t122)))) % 38.32/38.50 (define @t125 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t36)) % 38.32/38.50 (define @t126 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eextreal_2Eextreal__le_2E2 @t125 @t122)))) % 38.32/38.50 (define @t127 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eextreal_2Eextreal__le_2E2 @t123 @t125))) % 38.32/38.50 (define @t128 () (tptp.p @t127)) % 38.32/38.50 (define @t129 () (and @t128 @t126)) % 38.32/38.50 (define @t130 () (forall (@list @t33 @t36 @t121) (=> @t129 @t124))) % 38.32/38.50 (define @t131 () (@list @t33 @t36)) % 38.32/38.50 (define @t132 () (=> @t120 @t24)) % 38.32/38.50 (define @t133 () (@list @t114)) % 38.32/38.50 (define @t134 () (@var "V0B_2E0" $$unsorted)) % 38.32/38.50 (define @t135 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool @t134))) % 38.32/38.50 (define @t136 () (=> (not @t135) @t24)) % 38.32/38.50 (define @t137 () (@var "V1A_2E0" $$unsorted)) % 38.32/38.50 (define @t138 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool @t137))) % 38.32/38.50 (define @t139 () (@list @t134 @t137)) % 38.32/38.50 (define @t140 () (@var "V2p_2E0" $$unsorted)) % 38.32/38.50 (define @t141 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool @t140))) % 38.32/38.50 (define @t142 () (not @t141)) % 38.32/38.50 (define @t143 () (@var "V1q_2E0" $$unsorted)) % 38.32/38.50 (define @t144 () (tptp.s tptp.tyop_2Emin_2Ebool @t143)) % 38.32/38.50 (define @t145 () (tptp.p @t144)) % 38.32/38.50 (define @t146 () (not @t145)) % 38.32/38.50 (define @t147 () (@var "V0r_2E0" $$unsorted)) % 38.32/38.50 (define @t148 () (tptp.s tptp.tyop_2Emin_2Ebool @t147)) % 38.32/38.50 (define @t149 () (tptp.p @t148)) % 38.32/38.50 (define @t150 () (not @t149)) % 38.32/38.50 (define @t151 () (@list @t147 @t143 @t140)) % 38.32/38.50 (define @t152 () (or @t141 @t150)) % 38.32/38.50 (define @t153 () (@var "V1p_2E0" $$unsorted)) % 38.32/38.50 (define @t154 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool @t153))) % 38.32/38.50 (define @t155 () (@var "V0q_2E0" $$unsorted)) % 38.32/38.50 (define @t156 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool @t155))) % 38.32/38.50 (define @t157 () (not @t156)) % 38.32/38.50 (define @t158 () (@var "V0z_2E0" $$unsorted)) % 38.32/38.50 (define @t159 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t158)) % 38.32/38.50 (define @t160 () (@var "V2y_2E0" $$unsorted)) % 38.32/38.50 (define @t161 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t160)) % 38.32/38.50 (define @t162 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t51)) % 38.32/38.50 (define @t163 () (forall (@list @t158 @t51 @t160) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eextreal_2Eextreal__le_2E2 (tptp.s tptp.tyop_2Eextreal_2Eextreal (tptp.c_2Eextreal_2Eextreal__max_2E2 @t162 @t161)) @t159))) (and (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eextreal_2Eextreal__le_2E2 @t162 @t159))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eextreal_2Eextreal__le_2E2 @t161 @t159))))))) % 38.32/38.50 (define @t164 () (@quantifiers_skolemize @t163 2)) % 38.32/38.50 (define @t165 () (@quantifiers_skolemize @t163 1)) % 38.32/38.50 (define @t166 () (@quantifiers_skolemize @t163 0)) % 38.32/38.50 (define @t167 () (= @t104 @t106)) % 38.32/38.50 (define @t168 () (forall @t109 @t167)) % 38.32/38.50 (define @t169 () (@list @t3 @t82 @t80)) % 38.32/38.50 (define @t170 () (= @t105 @t107)) % 38.32/38.50 (define @t171 () (forall @t109 @t170)) % 38.32/38.50 (define @t172 () (and @t171 @t168)) % 38.32/38.50 (define @t173 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t166)) % 38.32/38.50 (define @t174 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t165)) % 38.32/38.50 (define @t175 () (tptp.c_2Eextreal_2Eextreal__max_2E2 @t174 @t173)) % 38.32/38.50 (define @t176 () (@list tptp.tyop_2Eextreal_2Eextreal @t164 @t175)) % 38.32/38.50 (define @t177 () (@list tptp.tyop_2Eextreal_2Eextreal @t164 @t165)) % 38.32/38.50 (define @t178 () (= @t88 @t99)) % 38.32/38.50 (define @t179 () (forall @t31 @t178)) % 38.32/38.50 (define @t180 () (@list @t26)) % 38.32/38.50 (define @t181 () (@var "BOUND_VARIABLE_8102" $$unsorted)) % 38.32/38.50 (define @t182 () (= @t86 @t101)) % 38.32/38.50 (define @t183 () (forall @t31 @t182)) % 38.32/38.50 (define @t184 () (and @t183 @t179)) % 38.32/38.50 (define @t185 () (and @t182 @t178)) % 38.32/38.50 (define @t186 () (and @t182 @t182 @t178 @t178)) % 38.32/38.50 (define @t187 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t164)) % 38.32/38.50 (define @t188 () (tptp.c_2Eextreal_2Eextreal__max_2E2 @t174 @t187)) % 38.32/38.50 (define @t189 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t188)) % 38.32/38.50 (define @t190 () (tptp.c_2Eextreal_2Eextreal__le_2E2 @t189 @t173)) % 38.32/38.50 (define @t191 () (@list @t190)) % 38.32/38.50 (define @t192 () (tptp.c_2Eextreal_2Eextreal__le_2E2 @t187 @t173)) % 38.32/38.50 (define @t193 () (tptp.s tptp.tyop_2Emin_2Ebool @t192)) % 38.32/38.50 (define @t194 () (tptp.p @t193)) % 38.32/38.50 (define @t195 () (tptp.c_2Eextreal_2Eextreal__le_2E2 @t174 @t173)) % 38.32/38.50 (define @t196 () (tptp.s tptp.tyop_2Emin_2Ebool @t195)) % 38.32/38.50 (define @t197 () (tptp.p @t196)) % 38.32/38.50 (define @t198 () (and @t197 @t194)) % 38.32/38.50 (define @t199 () (tptp.s tptp.tyop_2Emin_2Ebool @t190)) % 38.32/38.50 (define @t200 () (tptp.p @t199)) % 38.32/38.50 (define @t201 () (= @t200 @t198)) % 38.32/38.50 (define @t202 () (= @t21 @t199)) % 38.32/38.50 (define @t203 () (= @t200 @t202)) % 38.32/38.50 (define @t204 () (not @t200)) % 38.32/38.50 (define @t205 () (@list @t195)) % 38.32/38.50 (define @t206 () (= @t23 @t196)) % 38.32/38.50 (define @t207 () (not @t197)) % 38.32/38.50 (define @t208 () (= @t207 @t206)) % 38.32/38.50 (define @t209 () (not @t208)) % 38.32/38.50 (define @t210 () (= @t88 (or @t88 @t24))) % 38.32/38.50 (define @t211 () (forall @t31 @t210)) % 38.32/38.50 (define @t212 () (forall @t31 @t22)) % 38.32/38.50 (define @t213 () (= @t22 (or @t25 @t86))) % 38.32/38.50 (define @t214 () (forall @t31 @t213)) % 38.32/38.50 (define @t215 () (= @t22 (or @t88 @t22))) % 38.32/38.50 (define @t216 () (forall @t31 @t215)) % 38.32/38.50 (define @t217 () (= @t86 (or @t95 @t86))) % 38.32/38.50 (define @t218 () (forall @t31 @t217)) % 38.32/38.50 (define @t219 () (and @t218 @t216 @t214 @t212 @t211)) % 38.32/38.50 (define @t220 () (and @t217 @t215 @t213 (= @t22 true) @t210)) % 38.32/38.50 (define @t221 () (= @t88 @t89)) % 38.32/38.50 (define @t222 () (= @t22 @t90)) % 38.32/38.50 (define @t223 () (= @t22 @t87)) % 38.32/38.50 (define @t224 () (= @t22 @t91)) % 38.32/38.50 (define @t225 () (= @t86 @t92)) % 38.32/38.50 (define @t226 () (and @t225 @t224 @t223 @t222 @t221)) % 38.32/38.50 (define @t227 () (tptp.c_2Emin_2E_3D_2E2 @t199 @t199)) % 38.32/38.50 (define @t228 () (tptp.s tptp.tyop_2Emin_2Ebool @t227)) % 38.32/38.50 (define @t229 () (tptp.p @t228)) % 38.32/38.50 (define @t230 () (= @t229 (= @t199 @t199))) % 38.32/38.50 (define @t231 () (forall @t49 (= @t47 (= @t45 @t46)))) % 38.32/38.50 (define @t232 () (@list false)) % 38.32/38.50 (define @t233 () (@list @t231)) % 38.32/38.50 (define @t234 () (not @t229)) % 38.32/38.50 (define @t235 () (or @t197 @t234 @t95)) % 38.32/38.50 (define @t236 () (tptp.s tptp.tyop_2Emin_2Ebool @t181)) % 38.32/38.50 (define @t237 () (forall (@list @t181) (= (not (tptp.p @t236)) (= @t23 @t236)))) % 38.32/38.50 (define @t238 () (tptp.c_2Eextreal_2Eextreal__le_2E2 @t174 @t187)) % 38.32/38.50 (define @t239 () (tptp.s tptp.tyop_2Emin_2Ebool @t238)) % 38.32/38.50 (define @t240 () (= @t21 @t239)) % 38.32/38.50 (define @t241 () (tptp.p @t239)) % 38.32/38.50 (define @t242 () (and @t22 @t240)) % 38.32/38.50 (define @t243 () (tptp.c_2Ebool_2ECOND_2E3 @t239 @t187 @t174)) % 38.32/38.50 (define @t244 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t243)) % 38.32/38.50 (define @t245 () (= @t189 @t244)) % 38.32/38.50 (define @t246 () (tptp.c_2Ebool_2ECOND_2E3 @t196 @t173 @t174)) % 38.32/38.50 (define @t247 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t246)) % 38.32/38.50 (define @t248 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t175)) % 38.32/38.50 (define @t249 () (= @t248 @t247)) % 38.32/38.50 (define @t250 () (= @t174 (tptp.s tptp.tyop_2Eextreal_2Eextreal (tptp.c_2Ebool_2ECOND_2E3 @t23 @t173 @t174)))) % 38.32/38.50 (define @t251 () (tptp.c_2Ebool_2ECOND_2E3 @t21 @t187 @t248)) % 38.32/38.50 (define @t252 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t251)) % 38.32/38.50 (define @t253 () (= @t187 @t252)) % 38.32/38.50 (define @t254 () (tptp.c_2Ebool_2ECOND_2E3 @t21 @t187 @t247)) % 38.32/38.50 (define @t255 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t254)) % 38.32/38.50 (define @t256 () (and @t22 @t202 @t206 @t245 @t249 @t240 @t250 @t253)) % 38.32/38.50 (define @t257 () (not @t253)) % 38.32/38.50 (define @t258 () (not @t250)) % 38.32/38.50 (define @t259 () (not @t240)) % 38.32/38.50 (define @t260 () (not @t249)) % 38.32/38.50 (define @t261 () (not @t245)) % 38.32/38.50 (define @t262 () (not @t206)) % 38.32/38.50 (define @t263 () (not @t202)) % 38.32/38.50 (define @t264 () (not @t126)) % 38.32/38.50 (define @t265 () (not @t128)) % 38.32/38.50 (define @t266 () (not @t194)) % 38.32/38.50 (define @t267 () (not @t241)) % 38.32/38.50 (define @t268 () (or @t267 @t266 @t197)) % 38.32/38.50 (define @t269 () (and (or @t22 @t197 @t229) (or @t22 @t234 @t207) @t235 (or @t229 @t207 @t95))) % 38.32/38.50 (define @t270 () (= @t23 @t239)) % 38.32/38.50 (define @t271 () (or @t240 @t270)) % 38.32/38.50 (define @t272 () (= @t196 @t228)) % 38.32/38.50 (define @t273 () (= @t22 @t272)) % 38.32/38.50 (define @t274 () (= @t273 @t269)) % 38.32/38.50 (define @t275 () (= @t21 @t228)) % 38.32/38.50 (define @t276 () (= @t229 @t275)) % 38.32/38.50 (define @t277 () (@list false false)) % 38.32/38.50 (define @t278 () (tptp.c_2Ebool_2ECOND_2E3 @t23 @t187 @t248)) % 38.32/38.50 (define @t279 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t278)) % 38.32/38.50 (define @t280 () (= @t248 @t279)) % 38.32/38.50 (define @t281 () (tptp.c_2Ebool_2ECOND_2E3 @t23 @t187 @t247)) % 38.32/38.50 (define @t282 () (tptp.c_2Ebool_2ECOND_2E3 @t23 @t255 @t247)) % 38.32/38.50 (define @t283 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t282)) % 38.32/38.50 (define @t284 () (and @t202 @t206 @t245 @t249 @t275 @t270 @t250 @t253 @t280)) % 38.32/38.50 (define @t285 () (not @t270)) % 38.32/38.50 (define @t286 () (= @t21 @t196)) % 38.32/38.50 (define @t287 () (= @t197 @t286)) % 38.32/38.50 (define @t288 () (tptp.c_2Ebool_2ECOND_2E3 @t21 @t187 @t174)) % 38.32/38.50 (define @t289 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t288)) % 38.32/38.50 (define @t290 () (= @t187 @t289)) % 38.32/38.50 (define @t291 () (not @t290)) % 38.32/38.50 (define @t292 () (not @t266)) % 38.32/38.50 (define @t293 () (and @t22 @t202 @t245 @t240 @t290 @t266)) % 38.32/38.50 (define @t294 () (@list @t192)) % 38.32/38.50 (define @t295 () (= @t23 @t193)) % 38.32/38.50 (define @t296 () (= @t266 @t295)) % 38.32/38.50 (define @t297 () (not @t296)) % 38.32/38.50 (define @t298 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eextreal_2Eextreal__le_2E2 @t173 @t187)))) % 38.32/38.50 (define @t299 () (or @t194 @t298)) % 38.32/38.50 (define @t300 () (tptp.c_2Eextreal_2Eextreal__le_2E2 @t174 @t255)) % 38.32/38.50 (define @t301 () (tptp.s tptp.tyop_2Emin_2Ebool @t300)) % 38.32/38.50 (define @t302 () (tptp.p @t301)) % 38.32/38.50 (define @t303 () (not @t302)) % 38.32/38.50 (define @t304 () (not @t295)) % 38.32/38.50 (define @t305 () (tptp.c_2Eextreal_2Eextreal__le_2E2 @t174 @t289)) % 38.32/38.50 (define @t306 () (tptp.s tptp.tyop_2Emin_2Ebool @t305)) % 38.32/38.50 (define @t307 () (and @t266 @t249 @t270 @t290 @t253 @t295)) % 38.32/38.50 (define @t308 () (= @t173 (tptp.s tptp.tyop_2Eextreal_2Eextreal (tptp.c_2Ebool_2ECOND_2E3 @t21 @t173 @t189)))) % 38.32/38.50 (define @t309 () (tptp.c_2Ebool_2ECOND_2E3 @t23 @t187 @t174)) % 38.32/38.50 (define @t310 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t309)) % 38.32/38.50 (define @t311 () (= @t174 @t310)) % 38.32/38.50 (define @t312 () (tptp.c_2Ebool_2ECOND_2E3 @t23 @t255 @t174)) % 38.32/38.50 (define @t313 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t312)) % 38.32/38.50 (define @t314 () (tptp.c_2Ebool_2ECOND_2E3 @t21 @t173 @t244)) % 38.32/38.50 (define @t315 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t314)) % 38.32/38.50 (define @t316 () (tptp.c_2Ebool_2ECOND_2E3 @t21 @t173 @t174)) % 38.32/38.50 (define @t317 () (tptp.c_2Eextreal_2Eextreal__le_2E2 @t174 @t247)) % 38.32/38.50 (define @t318 () (tptp.c_2Eextreal_2Eextreal__le_2E2 @t189 @t248)) % 38.32/38.50 (define @t319 () (tptp.s tptp.tyop_2Emin_2Ebool @t317)) % 38.32/38.50 (define @t320 () (tptp.p @t319)) % 38.32/38.50 (define @t321 () (and @t22 @t202 @t286 @t245 @t249 @t270 @t308 @t253 @t311)) % 38.32/38.50 (define @t322 () (tptp.c_2Eextreal_2Eextreal__le_2E2 @t173 @t255)) % 38.32/38.50 (define @t323 () (tptp.s tptp.tyop_2Emin_2Ebool @t322)) % 38.32/38.50 (define @t324 () (tptp.c_2Eextreal_2Eextreal__le_2E2 @t247 @t255)) % 38.32/38.50 (define @t325 () (tptp.s tptp.tyop_2Emin_2Ebool @t324)) % 38.32/38.50 (define @t326 () (tptp.p @t325)) % 38.32/38.50 (define @t327 () (and @t286 @t245 @t249 @t270 @t308 @t290 @t253 @t311 @t280 @t298)) % 38.32/38.50 (define @t328 () (not @t326)) % 38.32/38.50 (define @t329 () (not @t320)) % 38.32/38.50 (define @t330 () (or @t329 @t328 @t302)) % 38.32/38.50 (define @t331 () (= @t23 @t199)) % 38.32/38.50 (define @t332 () (= @t204 @t331)) % 38.32/38.50 (define @t333 () (not @t332)) % 38.32/38.50 (define @t334 () (@list true false)) % 38.32/38.50 (define @t335 () (not @t198)) % 38.32/38.50 (define @t336 () (@list @t198)) % 38.32/38.50 (define @t337 () (= @t21 @t193)) % 38.32/38.50 (define @t338 () (= @t194 @t337)) % 38.32/38.50 (define @t339 () (= @t12 @t14)) % 38.32/38.50 (define @t340 () (or (= @t44 @t15) @t339)) % 38.32/38.50 (define @t341 () (tptp.c_2Emin_2E_3D_2E2 @t23 @t23)) % 38.32/38.50 (define @t342 () (tptp.s tptp.tyop_2Emin_2Ebool @t341)) % 38.32/38.50 (define @t343 () (tptp.p @t342)) % 38.32/38.50 (define @t344 () (= @t343 (= @t23 @t23))) % 38.32/38.50 (define @t345 () (not @t343)) % 38.32/38.50 (define @t346 () (= @t22 @t345)) % 38.32/38.50 (define @t347 () (not @t346)) % 38.32/38.50 (define @t348 () (= @t21 @t342)) % 38.32/38.50 (define @t349 () (or @t346 @t348)) % 38.32/38.50 (define @t350 () (or @t200 @t345 @t95)) % 38.32/38.50 (define @t351 () (not @t350)) % 38.32/38.50 (define @t352 () (and (or @t22 @t200 @t343) (or @t22 @t345 @t204) @t350 (or @t343 @t204 @t95))) % 38.32/38.50 (define @t353 () (not @t352)) % 38.32/38.50 (define @t354 () (= @t199 @t342)) % 38.32/38.50 (define @t355 () (= @t22 @t354)) % 38.32/38.50 (define @t356 () (= @t355 @t352)) % 38.32/38.50 (define @t357 () (not @t355)) % 38.32/38.50 (define @t358 () (not @t354)) % 38.32/38.50 (define @t359 () (and @t245 @t240 @t290 @t337 @t348)) % 38.32/38.50 (define @t360 () (not @t337)) % 38.32/38.50 (define @t361 () (and @t331 @t286 @t245 @t249 @t270 @t253 @t337 @t311)) % 38.32/38.50 (assume @p1 (forall (@list @t3 @t2 @t6 @t1) (=> (forall (@list @t8) (= (tptp.s @t2 (tptp.app_2E2 @t7 @t9)) @t10)) (= @t7 @t5)))) % 38.32/38.50 (assume @p2 @t20) % 38.32/38.50 (assume @p3 @t22) % 38.32/38.50 (assume @p4 @t25) % 38.32/38.50 (assume @p5 @t32) % 38.32/38.50 (assume @p6 (forall (@list @t3 @t33) (= (tptp.s @t3 (tptp.app_2E2 (tptp.s @t35 tptp.combin_i_2E0) @t34)) @t34))) % 38.32/38.50 (assume @p7 (forall (@list @t3 @t2 @t33 @t36) (= (tptp.s @t3 (tptp.app_2E2 (tptp.s @t37 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t37) tptp.combin_k_2E0) @t34)) (tptp.s @t2 @t36))) @t34))) % 38.32/38.50 (assume @p8 (forall (@list @t3 @t2 @t38 @t6 @t1 @t8) (= (tptp.s @t38 (tptp.app_2E2 (tptp.s @t42 (tptp.app_2E2 (tptp.s @t43 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t40 @t43) tptp.combin_s_2E0) @t41)) @t5)) @t9)) (tptp.s @t38 (tptp.app_2E2 (tptp.s @t39 (tptp.app_2E2 @t41 @t9)) @t10))))) % 38.32/38.50 (assume @p9 (forall @t19 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_2F_5C_2E2 @t14 @t12))) (and @t16 @t15)))) % 38.32/38.50 (assume @p10 (forall @t19 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_5C_2F_2E2 @t14 @t12))) (or @t16 @t15)))) % 38.32/38.50 (assume @p11 (forall (@list @t13) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_7E_2E1 @t14))) @t44))) % 38.32/38.50 (assume @p12 (forall @t19 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_3D_3E_2E2 @t14 @t12))) (=> @t16 @t15)))) % 38.32/38.50 (assume @p13 @t50) % 38.32/38.50 (assume @p14 (forall @t56 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t53))) (forall @t55 @t54)))) % 38.32/38.50 (assume @p15 (forall @t56 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t53))) (exists @t55 @t54)))) % 38.32/38.50 (assume @p16 (forall @t65 (= (and @t64 @t63) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t61 (tptp.app_2E2 (tptp.s @t62 tptp.c_2Ebool_2E_2F_5C_2E0) @t60)) @t58)))))) % 38.32/38.50 (assume @p17 (forall @t65 (= (or @t64 @t63) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t61 (tptp.app_2E2 (tptp.s @t62 tptp.c_2Ebool_2E_5C_2F_2E0) @t60)) @t58)))))) % 38.32/38.50 (assume @p18 (forall (@list @t59) (= (not @t64) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t61 tptp.c_2Ebool_2E_7E_2E0) @t60)))))) % 38.32/38.50 (assume @p19 (forall @t65 (= (=> @t64 @t63) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t61 (tptp.app_2E2 (tptp.s @t62 tptp.c_2Emin_2E_3D_3D_3E_2E0) @t60)) @t58)))))) % 38.32/38.50 (assume @p20 (forall (@list @t3 @t59 @t57) (= (= @t67 @t66) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t52 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t52) tptp.c_2Emin_2E_3D_2E0) @t67)) @t66)))))) % 38.32/38.50 (assume @p21 (forall @t70 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t68)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t69 tptp.c_2Ebool_2E_21_2E0) @t68))))) % 38.32/38.50 (assume @p22 (forall @t70 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t68)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t69 tptp.c_2Ebool_2E_3F_2E0) @t68))))) % 38.32/38.50 (assume @p23 (forall @t65 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eextreal_2Eextreal__le_2E2 @t72 @t71)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t73 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal @t73) tptp.c_2Eextreal_2Eextreal__le_2E0) @t72)) @t71))))) % 38.32/38.50 (assume @p24 (forall @t65 (= (tptp.s tptp.tyop_2Eextreal_2Eextreal (tptp.c_2Eextreal_2Eextreal__max_2E2 @t72 @t71)) (tptp.s tptp.tyop_2Eextreal_2Eextreal (tptp.app_2E2 (tptp.s @t74 (tptp.app_2E2 (tptp.s @t75 tptp.c_2Eextreal_2Eextreal__max_2E0) @t72)) @t71))))) % 38.32/38.50 (assume @p25 (forall (@list @t3 @t59 @t57 @t76) (= (tptp.s @t3 (tptp.c_2Ebool_2ECOND_2E3 @t60 @t66 @t77)) (tptp.s @t3 (tptp.app_2E2 (tptp.s @t35 (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) @t60)) @t66)) @t77))))) % 38.32/38.50 (assume @p26 (forall (@list @t59 @t57 @t76) (= (tptp.s tptp.tyop_2Eextreal_2Eextreal (tptp.c_2Ebool_2ECOND_2E3 @t60 @t71 @t79)) (tptp.s tptp.tyop_2Eextreal_2Eextreal (tptp.app_2E2 (tptp.s @t74 (tptp.app_2E2 (tptp.s @t75 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool @t75) tptp.c_2Ebool_2ECOND_2E0) @t60)) @t71)) @t79))))) % 38.32/38.50 (assume @p27 (forall (@list @t82 @t80) (=> (=> @t84 @t85) (=> (=> @t85 @t84) (= @t83 @t81))))) % 38.32/38.50 (assume @p28 (forall @t31 @t87)) % 38.32/38.50 (assume @p29 (forall @t31 (or @t86 @t88))) % 38.32/38.50 (assume @p30 (forall @t31 (=> @t89 @t88))) % 38.32/38.50 (assume @p31 (forall @t31 (=> @t88 @t89))) % 38.32/38.50 (assume @p32 @t94) % 38.32/38.50 (assume @p33 (and @t96 (= @t95 @t24) (= @t25 @t22))) % 38.32/38.50 (assume @p34 (forall (@list @t3 @t33 @t36) (= (= @t34 @t97) (= @t97 @t34)))) % 38.32/38.50 (assume @p35 @t103) % 38.32/38.50 (assume @p36 @t110) % 38.32/38.50 (assume @p37 (forall (@list @t114 @t112 @t111) (= @t116 @t116))) % 38.32/38.50 (assume @p38 (forall @t118 (= @t117 (or @t113 @t115)))) % 38.32/38.50 (assume @p39 (forall @t118 (and (= (not (and @t115 @t113)) (or @t120 @t119)) (= (not @t117) (and @t120 @t119))))) % 38.32/38.50 (assume @p40 @t130) % 38.32/38.50 (assume @p41 (forall @t131 (or @t128 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eextreal_2Eextreal__le_2E2 @t125 @t123)))))) % 38.32/38.50 (assume @p42 (forall @t131 (= (tptp.s tptp.tyop_2Eextreal_2Eextreal (tptp.c_2Eextreal_2Eextreal__max_2E2 @t123 @t125)) (tptp.s tptp.tyop_2Eextreal_2Eextreal (tptp.c_2Ebool_2ECOND_2E3 @t127 @t125 @t123))))) % 38.32/38.50 (assume @p43 @t96) % 38.32/38.50 (assume @p44 (forall @t133 (=> @t115 @t132))) % 38.32/38.50 (assume @p45 (forall @t139 (= (=> (not (or @t138 @t135)) @t24) (=> (=> @t138 @t24) @t136)))) % 38.32/38.50 (assume @p46 (forall @t139 (= (=> (not (or (not @t138) @t135)) @t24) (=> @t138 @t136)))) % 38.32/38.50 (assume @p47 (forall @t133 (=> @t132 (=> (=> @t115 @t24) @t24)))) % 38.32/38.50 (assume @p48 (forall @t151 (= (= @t141 (= @t144 @t148)) (and (or @t141 @t145 @t149) (or @t141 @t150 @t146) (or @t145 @t150 @t142) (or @t149 @t146 @t142))))) % 38.32/38.50 (assume @p49 (forall @t151 (= (= @t141 (and @t145 @t149)) (and (or @t141 @t146 @t150) (or @t145 @t142) (or @t149 @t142))))) % 38.32/38.50 (assume @p50 (forall @t151 (= (= @t141 (or @t145 @t149)) (and (or @t141 @t146) @t152 (or @t145 @t149 @t142))))) % 38.32/38.50 (assume @p51 (forall @t151 (= (= @t141 (=> @t145 @t149)) (and (or @t141 @t145) @t152 (or @t146 @t149 @t142))))) % 38.32/38.50 (assume @p52 (forall (@list @t155 @t153) (= (= @t154 @t157) (and (or @t154 @t156) (or @t157 (not @t154)))))) % 38.32/38.50 (assume @p53 (not @t163)) % 38.32/38.50 (assume @p54 true) % 38.32/38.50 (step @p55 :rule instantiate :premises (@p42) :args ((@list @t165 @t164))) % 38.32/38.50 (step @p56 :rule instantiate :premises (@p42) :args ((@list @t165 @t166))) % 38.32/38.50 (step @p57 :rule alpha_equiv :args (@t168 @t169 (@list (@var "BOUND_VARIABLE_8130" $$unsorted) (@var "BOUND_VARIABLE_8132" $$unsorted) (@var "BOUND_VARIABLE_8134" $$unsorted)))) % 38.32/38.50 (step @p58 :rule alpha_equiv :args (@t171 @t169 (@list (@var "BOUND_VARIABLE_8117" $$unsorted) (@var "BOUND_VARIABLE_8119" $$unsorted) (@var "BOUND_VARIABLE_8121" $$unsorted)))) % 38.32/38.50 (step @p59 :rule nary_cong :premises (@p58 @p57) :args (@t172)) % 38.32/38.50 (step @p60 :rule quant-miniscope-and :args ((= (forall @t109 (and @t170 @t167)) @t172))) % 38.32/38.50 (step @p61 :rule trans :premises (@p60 @p59)) % 38.32/38.50 (step @p62 :rule eq-symm :args (@t106 @t104)) % 38.32/38.50 (step @p63 :rule eq-symm :args (@t107 @t105)) % 38.32/38.50 (step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t108)) % 38.32/38.50 (step @p65 :rule cong :premises (@p64) :args (@t110)) % 38.32/38.50 (step @p66 :rule trans :premises (@p65 @p61)) % 38.32/38.50 (step @p67 :rule eq_resolve :premises (@p36 @p66)) % 38.32/38.50 (step @p68 :rule and_elim :premises (@p67) :args (0)) % 38.32/38.50 (step @p69 :rule instantiate :premises (@p68) :args (@t176)) % 38.32/38.50 (step @p70 :rule and_elim :premises (@p67) :args (1)) % 38.32/38.50 (step @p71 :rule instantiate :premises (@p70) :args (@t177)) % 38.32/38.50 (step @p72 :rule alpha_equiv :args (@t179 @t180 (@list @t181))) % 38.32/38.50 (step @p73 :rule alpha_equiv :args (@t183 @t180 (@list (@var "BOUND_VARIABLE_8094" $$unsorted)))) % 38.32/38.50 (step @p74 :rule nary_cong :premises (@p73 @p72) :args (@t184)) % 38.32/38.50 (step @p75 :rule quant-miniscope-and :args ((= (forall @t31 @t185) @t184))) % 38.32/38.50 (step @p76 :rule trans :premises (@p75 @p74)) % 38.32/38.50 (step @p77 :rule aci_norm :args ((= @t186 @t185))) % 38.32/38.50 (step @p78 :rule cong :premises (@p77) :args ((forall @t31 @t186))) % 38.32/38.50 (step @p79 :rule trans :premises (@p78 @p76)) % 38.32/38.50 (step @p80 :rule eq-symm :args (@t99 @t88)) % 38.32/38.50 (step @p81 :rule refl :args (@t88)) % 38.32/38.50 (step @p82 :rule eq-symm :args (@t27 @t23)) % 38.32/38.50 (step @p83 :rule cong :premises (@p82 @p81) :args (@t98)) % 38.32/38.50 (step @p84 :rule trans :premises (@p83 @p80)) % 38.32/38.50 (step @p85 :rule eq-symm :args (@t101 @t86)) % 38.32/38.50 (step @p86 :rule refl :args (@t86)) % 38.32/38.50 (step @p87 :rule eq-symm :args (@t27 @t21)) % 38.32/38.50 (step @p88 :rule cong :premises (@p87 @p86) :args (@t100)) % 38.32/38.50 (step @p89 :rule trans :premises (@p88 @p85)) % 38.32/38.50 (step @p90 :rule nary_cong :premises (@p85 @p89 @p80 @p84) :args (@t102)) % 38.32/38.50 (step @p91 :rule cong :premises (@p90) :args (@t103)) % 38.32/38.50 (step @p92 :rule trans :premises (@p91 @p79)) % 38.32/38.50 (step @p93 :rule eq_resolve :premises (@p35 @p92)) % 38.32/38.50 (step @p94 :rule and_elim :premises (@p93) :args (1)) % 38.32/38.50 (step @p95 :rule instantiate :premises (@p94) :args (@t191)) % 38.32/38.50 (step @p96 :rule skolemize :premises (@p53)) % 38.32/38.50 (step @p97 :rule cnf_equiv_neg2 :args (@t201)) % 38.32/38.50 (step @p98 :rule and_elim :premises (@p93) :args (0)) % 38.32/38.50 (step @p99 :rule instantiate :premises (@p98) :args (@t191)) % 38.32/38.50 (step @p100 :rule cnf_equiv_pos1 :args (@t203)) % 38.32/38.50 (step @p101 :rule reordering :premises (@p100) :args ((or @t204 @t202 (not @t203)))) % 38.32/38.50 (step @p102 :rule instantiate :premises (@p94) :args (@t205)) % 38.32/38.50 (step @p103 :rule refl :args (@t206)) % 38.32/38.50 (step @p104 :rule bool-double-not-elim :args (@t197)) % 38.32/38.50 (step @p105 :rule refl :args (@t209)) % 38.32/38.50 (step @p106 :rule nary_cong :premises (@p105 @p104 @p103) :args ((or @t209 (not @t207) @t206))) % 38.32/38.50 (step @p107 :rule cnf_equiv_pos1 :args (@t208)) % 38.32/38.50 (step @p108 :rule eq_resolve :premises (@p107 @p106)) % 38.32/38.50 (step @p109 :rule reordering :premises (@p108) :args ((or @t197 @t206 @t209))) % 38.32/38.50 (step @p110 :rule alpha_equiv :args (@t211 @t180 (@list (@var "BOUND_VARIABLE_8069" $$unsorted)))) % 38.32/38.50 (step @p111 :rule quant-unused-vars :args ((= @t212 @t22))) % 38.32/38.50 (step @p112 :rule alpha_equiv :args (@t214 @t180 (@list (@var "BOUND_VARIABLE_8060" $$unsorted)))) % 38.32/38.50 (step @p113 :rule alpha_equiv :args (@t216 @t180 (@list (@var "BOUND_VARIABLE_8051" $$unsorted)))) % 38.32/38.50 (step @p114 :rule alpha_equiv :args (@t218 @t180 (@list (@var "BOUND_VARIABLE_8043" $$unsorted)))) % 38.32/38.50 (step @p115 :rule nary_cong :premises (@p114 @p113 @p112 @p111 @p110) :args (@t219)) % 38.32/38.50 (step @p116 :rule quant-miniscope-and :args ((= (forall @t31 (and @t217 @t215 @t213 @t22 @t210)) @t219))) % 38.32/38.50 (step @p117 :rule trans :premises (@p116 @p115)) % 38.32/38.50 (step @p118 :rule refl :args (@t210)) % 38.32/38.50 (step @p119 :rule bool-eq-true :args (@t22)) % 38.32/38.50 (step @p120 :rule refl :args (@t213)) % 38.32/38.50 (step @p121 :rule refl :args (@t215)) % 38.32/38.50 (step @p122 :rule refl :args (@t217)) % 38.32/38.50 (step @p123 :rule nary_cong :premises (@p122 @p121 @p120 @p119 @p118) :args (@t220)) % 38.32/38.50 (step @p124 :rule cong :premises (@p123) :args ((forall @t31 @t220))) % 38.32/38.50 (step @p125 :rule trans :premises (@p124 @p117)) % 38.32/38.50 (step @p126 :rule bool-impl-elim :args (@t86 @t24)) % 38.32/38.50 (step @p127 :rule refl :args (@t88)) % 38.32/38.50 (step @p128 :rule cong :premises (@p127 @p126) :args (@t221)) % 38.32/38.50 (step @p129 :rule bool-or-taut2 :args (false @t86 false false)) % 38.32/38.50 (step @p130 :rule bool-impl-elim :args (@t86 @t86)) % 38.32/38.50 (step @p131 :rule trans :premises (@p130 @p129)) % 38.32/38.50 (step @p132 :rule refl :args (@t22)) % 38.32/38.50 (step @p133 :rule cong :premises (@p132 @p131) :args (@t222)) % 38.32/38.50 (step @p134 :rule bool-impl-elim :args (@t24 @t86)) % 38.32/38.50 (step @p135 :rule cong :premises (@p132 @p134) :args (@t223)) % 38.32/38.50 (step @p136 :rule bool-impl-elim :args (@t86 @t22)) % 38.32/38.50 (step @p137 :rule cong :premises (@p132 @p136) :args (@t224)) % 38.32/38.50 (step @p138 :rule bool-impl-elim :args (@t22 @t86)) % 38.32/38.50 (step @p139 :rule refl :args (@t86)) % 38.32/38.50 (step @p140 :rule cong :premises (@p139 @p138) :args (@t225)) % 38.32/38.50 (step @p141 :rule nary_cong :premises (@p140 @p137 @p135 @p133 @p128) :args (@t226)) % 38.32/38.50 (step @p142 :rule cong :premises (@p141) :args ((forall @t31 @t226))) % 38.32/38.50 (step @p143 :rule trans :premises (@p142 @p125)) % 38.32/38.50 (step @p144 :rule eq-symm :args (@t89 @t88)) % 38.32/38.50 (step @p145 :rule eq-symm :args (@t90 @t22)) % 38.32/38.50 (step @p146 :rule eq-symm :args (@t87 @t22)) % 38.32/38.50 (step @p147 :rule eq-symm :args (@t91 @t22)) % 38.32/38.50 (step @p148 :rule eq-symm :args (@t92 @t86)) % 38.32/38.50 (step @p149 :rule nary_cong :premises (@p148 @p147 @p146 @p145 @p144) :args (@t93)) % 38.32/38.50 (step @p150 :rule cong :premises (@p149) :args (@t94)) % 38.32/38.50 (step @p151 :rule trans :premises (@p150 @p143)) % 38.32/38.50 (step @p152 :rule eq_resolve :premises (@p32 @p151)) % 38.32/38.50 (step @p153 :rule and_elim :premises (@p152) :args (3)) % 38.32/38.50 (step @p154 :rule eq-symm :args (@t46 @t45)) % 38.32/38.50 (step @p155 :rule refl :args (@t47)) % 38.32/38.50 (step @p156 :rule cong :premises (@p155 @p154) :args (@t48)) % 38.32/38.50 (step @p157 :rule cong :premises (@p156) :args (@t50)) % 38.32/38.50 (step @p158 :rule eq_resolve :premises (@p13 @p157)) % 38.32/38.50 (step @p159 :rule bool-eq-true :args (@t229)) % 38.32/38.50 (step @p160 :rule eq-refl :args (@t199)) % 38.32/38.50 (step @p161 :rule refl :args (@t229)) % 38.32/38.50 (step @p162 :rule cong :premises (@p161 @p160) :args (@t230)) % 38.32/38.50 (step @p163 :rule trans :premises (@p162 @p159)) % 38.32/38.50 (step @p164 :rule refl :args (@t231)) % 38.32/38.50 (step @p165 :rule cong :premises (@p164 @p163) :args ((=> @t231 @t230))) % 38.32/38.50 (assume-push @p801 @t231) % 38.32/38.50 (step @p167 :rule instantiate :premises (@p158) :args ((@list tptp.tyop_2Emin_2Ebool @t190 @t190))) % 38.32/38.50 (step-pop @p802 :rule scope :premises (@p167)) % 38.32/38.50 (step @p168 :rule process_scope :premises (@p802) :args (@t230)) % 38.32/38.50 (step @p170 :rule eq_resolve :premises (@p168 @p165)) % 38.32/38.50 (step @p171 :rule implies_elim :premises (@p170)) % 38.32/38.50 (step @p172 :rule chain_m_resolution :premises (@p171 @p158) :args (@t229 @t232 @t233)) % 38.32/38.50 (step @p173 :rule cnf_or_pos :args (@t235)) % 38.32/38.50 (step @p174 :rule reordering :premises (@p173) :args ((or @t95 @t197 @t234 (not @t235)))) % 38.32/38.50 (assume-push @p803 @t237) % 38.32/38.50 (step-pop @p804 :rule scope :premises (@p102)) % 38.32/38.50 (step @p176 :rule process_scope :premises (@p804) :args (@t208)) % 38.32/38.50 (step @p178 :rule implies_elim :premises (@p176)) % 38.32/38.50 (assume-push @p805 @t22) % 38.32/38.50 (assume-push @p806 @t240) % 38.32/38.50 (assume-push @p807 @t22) % 38.32/38.50 (assume-push @p808 @t240) % 38.32/38.50 (step @p183 :rule true_intro :premises (@p153)) % 38.32/38.50 (step @p184 :rule symm :premises 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@p991 :rule scope :premises (@p990)) % 38.32/38.50 (step-pop @p992 :rule scope :premises (@p991)) % 38.32/38.50 (step-pop @p993 :rule scope :premises (@p992)) % 38.32/38.50 (step-pop @p994 :rule scope :premises (@p993)) % 38.32/38.50 (step @p605 :rule process_scope :premises (@p994) :args (@t326)) % 38.32/38.50 (step @p616 :rule and_intro :premises (@p297 @p69 @p371 @p968 @p485 @p56 @p71 @p55 @p974 @p965)) % 38.32/38.50 (step @p617 :rule modus_ponens :premises (@p616 @p605)) % 38.32/38.50 (step-pop @p995 :rule scope :premises (@p617)) % 38.32/38.50 (step-pop @p996 :rule scope :premises (@p995)) % 38.32/38.50 (step-pop @p997 :rule scope :premises (@p996)) % 38.32/38.50 (step-pop @p998 :rule scope :premises (@p997)) % 38.32/38.50 (step-pop @p999 :rule scope :premises (@p998)) % 38.32/38.50 (step-pop @p1000 :rule scope :premises (@p999)) % 38.32/38.50 (step-pop @p1001 :rule scope :premises (@p1000)) % 38.32/38.50 (step-pop @p1002 :rule scope :premises (@p1001)) % 38.32/38.50 (step-pop @p1003 :rule scope :premises (@p1002)) % 38.32/38.50 (step-pop @p1004 :rule scope :premises (@p1003)) % 38.32/38.50 (step @p618 :rule process_scope :premises (@p1004) :args (@t326)) % 38.32/38.50 (step @p629 :rule implies_elim :premises (@p618)) % 38.32/38.50 (step @p630 :rule cnf_and_neg :args (@t327)) % 38.32/38.50 (step @p631 :rule resolution :premises (@p630 @p629) :args (true @t327)) % 38.32/38.50 (step @p632 :rule instantiate :premises (@p275) :args ((@list @t165 @t246 @t254))) % 38.32/38.50 (step @p633 :rule cnf_or_pos :args (@t330)) % 38.32/38.50 (step @p634 :rule reordering :premises (@p633) :args ((or @t329 @t328 @t302 (not @t330)))) % 38.32/38.50 (step @p635 :rule chain_m_resolution :premises (@p634 @p632 @p631 @p297 @p71 @p69 @p371 @p485 @p56 @p55 @p557 @p71 @p69 @p485 @p56 @p55 @p153 @p484 @p69 @p371 @p56 @p287 @p285 @p432 @p430 @p429 @p423 @p422 @p371 @p55 @p153 @p370 @p368 @p367 @p366 @p101 @p99 @p97 @p96) :args (@t204 (@list false false false false false false false false false false false false false false false false true false false false false false false false false false true false false false false false true false false false true true) (@list @t330 @t326 @t280 @t311 @t253 @t290 @t308 @t249 @t245 @t320 @t311 @t253 @t308 @t249 @t245 @t22 @t302 @t253 @t290 @t249 @t270 @t271 @t298 @t299 @t295 @t296 @t240 @t290 @t245 @t22 @t286 @t287 @t194 @t197 @t202 @t203 @t198 @t201))) % 38.32/38.50 (step @p636 :rule refl :args (@t331)) % 38.32/38.50 (step @p637 :rule bool-double-not-elim :args (@t200)) % 38.32/38.50 (step @p638 :rule refl :args (@t333)) % 38.32/38.50 (step @p639 :rule nary_cong :premises (@p638 @p637 @p636) :args ((or @t333 (not @t204) @t331))) % 38.32/38.50 (step @p640 :rule cnf_equiv_pos1 :args (@t332)) % 38.32/38.50 (step @p641 :rule eq_resolve :premises (@p640 @p639)) % 38.32/38.50 (step @p642 :rule reordering :premises (@p641) :args ((or @t200 @t331 @t333))) % 38.32/38.50 (step @p643 :rule chain_m_resolution :premises (@p642 @p635 @p95) :args (@t331 @t334 (@list @t200 @t332))) % 38.32/38.50 (step @p644 :rule cnf_equiv_neg1 :args (@t201)) % 38.32/38.50 (step @p645 :rule reordering :premises (@p644) :args ((or @t200 @t198 @t201))) % 38.32/38.50 (step @p646 :rule chain_m_resolution :premises (@p645 @p635 @p96) :args (@t198 (@list true true) (@list @t200 @t201))) % 38.32/38.50 (step @p647 :rule cnf_and_pos :args (@t198 0)) % 38.32/38.50 (step @p648 :rule reordering :premises (@p647) :args ((or @t197 @t335))) % 38.32/38.50 (step @p649 :rule chain_m_resolution :premises (@p648 @p646) :args (@t197 @t232 @t336)) % 38.32/38.50 (step @p650 :rule chain_m_resolution :premises (@p370 @p649 @p368) :args (@t286 @t277 (@list @t197 @t287))) % 38.32/38.50 (step @p651 :rule instantiate :premises (@p98) :args (@t294)) % 38.32/38.50 (step @p652 :rule cnf_and_pos :args (@t198 1)) % 38.32/38.50 (step @p653 :rule reordering :premises (@p652) :args ((or @t194 @t335))) % 38.32/38.50 (step @p654 :rule chain_m_resolution :premises (@p653 @p646) :args (@t194 @t232 @t336)) % 38.32/38.50 (step @p655 :rule cnf_equiv_pos1 :args (@t338)) % 38.32/38.50 (step @p656 :rule reordering :premises (@p655) :args ((or @t266 @t337 (not @t338)))) % 38.32/38.50 (step @p657 :rule chain_m_resolution :premises (@p656 @p654 @p651) :args (@t337 @t277 (@list @t194 @t338))) % 38.32/38.50 (step @p658 :rule cnf_equiv_pos2 :args (@t296)) % 38.32/38.50 (step @p659 :rule reordering :premises (@p658) :args ((or @t266 @t304 @t297))) % 38.32/38.50 (step @p660 :rule chain_m_resolution :premises (@p659 @p654 @p423) :args (@t304 @t277 (@list @t194 @t296))) % 38.32/38.50 (step @p661 :rule refl :args (@t339)) % 38.32/38.50 (step @p662 :rule eq-symm :args (@t44 @t15)) % 38.32/38.50 (step @p663 :rule nary_cong :premises (@p662 @p661) :args (@t340)) % 38.32/38.50 (step @p664 :rule cong :premises (@p663) :args ((forall @t19 @t340))) % 38.32/38.50 (step @p665 :rule refl :args (@t339)) % 38.32/38.50 (step @p666 :rule bool-not-eq-elim1 :args (@t16 @t15)) % 38.32/38.50 (step @p667 :rule nary_cong :premises (@p666 @p665) :args ((or (not @t17) @t339))) % 38.32/38.50 (step @p668 :rule bool-impl-elim :args (@t17 @t339)) % 38.32/38.50 (step @p669 :rule trans :premises (@p668 @p667)) % 38.32/38.50 (step @p670 :rule cong :premises (@p669) :args ((forall @t19 (=> @t17 @t339)))) % 38.32/38.50 (step @p671 :rule trans :premises (@p670 @p664)) % 38.32/38.50 (step @p672 :rule eq-symm :args (@t14 @t12)) % 38.32/38.50 (step @p673 :rule refl :args (@t17)) % 38.32/38.50 (step @p674 :rule cong :premises (@p673 @p672) :args (@t18)) % 38.32/38.50 (step @p675 :rule cong :premises (@p674) :args (@t20)) % 38.32/38.50 (step @p676 :rule trans :premises (@p675 @p671)) % 38.32/38.50 (step @p677 :rule eq_resolve :premises (@p2 @p676)) % 38.32/38.50 (step @p678 :rule instantiate :premises (@p677) :args ((@list @t341 tptp.c_2Ebool_2ET_2E0))) % 38.32/38.50 (step @p679 :rule bool-eq-true :args (@t343)) % 38.32/38.50 (step @p680 :rule eq-refl :args (@t23)) % 38.32/38.50 (step @p681 :rule refl :args (@t343)) % 38.32/38.50 (step @p682 :rule cong :premises (@p681 @p680) :args (@t344)) % 38.32/38.50 (step @p683 :rule trans :premises (@p682 @p679)) % 38.32/38.50 (step @p684 :rule cong :premises (@p164 @p683) :args ((=> @t231 @t344))) % 38.32/38.50 (assume-push @p1005 @t231) % 38.32/38.50 (step @p686 :rule instantiate :premises (@p158) :args ((@list tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0 tptp.c_2Ebool_2EF_2E0))) % 38.32/38.50 (step-pop @p1006 :rule scope :premises (@p686)) % 38.32/38.50 (step @p687 :rule process_scope :premises (@p1006) :args (@t344)) % 38.32/38.50 (step @p689 :rule eq_resolve :premises (@p687 @p684)) % 38.32/38.50 (step @p690 :rule implies_elim :premises (@p689)) % 38.32/38.50 (step @p691 :rule chain_m_resolution :premises (@p690 @p158) :args (@t343 @t232 @t233)) % 38.32/38.50 (step @p692 :rule cnf_equiv_pos1 :args (@t346)) % 38.32/38.50 (step @p693 :rule reordering :premises (@p692) :args ((or @t95 @t345 @t347))) % 38.32/38.50 (step @p694 :rule chain_m_resolution :premises (@p693 @p153 @p691) :args (@t347 @t277 (@list @t22 @t343))) % 38.32/38.50 (step @p695 :rule cnf_or_pos :args (@t349)) % 38.32/38.50 (step @p696 :rule reordering :premises (@p695) :args ((or @t346 @t348 (not @t349)))) % 38.32/38.50 (step @p697 :rule chain_m_resolution :premises (@p696 @p694 @p678) :args (@t348 @t334 (@list @t346 @t349))) % 38.32/38.50 (step @p698 :rule instantiate :premises (@p48) :args ((@list @t341 @t190 tptp.c_2Ebool_2ET_2E0))) % 38.32/38.50 (step @p699 :rule cnf_or_pos :args (@t350)) % 38.32/38.50 (step @p700 :rule reordering :premises (@p699) :args ((or @t95 @t200 @t345 @t351))) % 38.32/38.50 (step @p701 :rule chain_m_resolution :premises (@p700 @p153 @p635 @p691) :args (@t351 (@list false true false) (@list @t22 @t200 @t343))) % 38.32/38.50 (step @p702 :rule cnf_and_pos :args (@t352 2)) % 38.32/38.50 (step @p703 :rule reordering :premises (@p702) :args ((or @t350 @t353))) % 38.32/38.50 (step @p704 :rule chain_m_resolution :premises (@p703 @p701) :args (@t353 (@list true) (@list @t350))) % 38.32/38.50 (step @p705 :rule cnf_equiv_pos1 :args (@t356)) % 38.32/38.50 (step @p706 :rule reordering :premises (@p705) :args ((or @t352 @t357 (not @t356)))) % 38.32/38.50 (step @p707 :rule chain_m_resolution :premises (@p706 @p704 @p698) :args (@t357 @t334 (@list @t352 @t356))) % 38.32/38.50 (step @p708 :rule cnf_equiv_neg2 :args (@t355)) % 38.32/38.50 (step @p709 :rule reordering :premises (@p708) :args ((or @t95 @t355 @t358))) % 38.32/38.50 (step @p710 :rule chain_m_resolution :premises (@p709 @p153 @p707) :args (@t358 (@list false true) (@list @t22 @t355))) % 38.32/38.50 (assume-push @p1007 @t245) % 38.32/38.50 (assume-push @p1008 @t240) % 38.32/38.50 (assume-push @p1009 @t290) % 38.32/38.50 (assume-push @p1010 @t337) % 38.32/38.50 (assume-push @p1011 @t348) % 38.32/38.50 (assume-push @p1012 @t348) % 38.32/38.50 (assume-push @p1013 @t337) % 38.32/38.50 (assume-push @p1014 @t290) % 38.32/38.50 (assume-push @p1015 @t240) % 38.32/38.50 (assume-push @p1016 @t245) % 38.32/38.50 (step @p721 :rule symm :premises (@p1010)) % 38.32/38.50 (step @p217 :rule refl :args (@t173)) % 38.32/38.50 (step @p453 :rule symm :premises (@p371)) % 38.32/38.50 (step @p220 :rule refl :args (@t174)) % 38.32/38.50 (step @p226 :rule refl :args (@t187)) % 38.32/38.50 (step @p722 :rule symm :premises (@p1008)) % 38.32/38.50 (step @p723 :rule cong :premises (@p722 @p226 @p220) :args (@t243)) % 38.32/38.50 (step @p223 :rule refl :args (tptp.tyop_2Eextreal_2Eextreal)) % 38.32/38.50 (step @p724 :rule cong :premises (@p223 @p723) :args (@t244)) % 38.32/38.50 (step @p725 :rule trans :premises (@p55 @p724 @p453)) % 38.32/38.50 (step @p726 :rule cong :premises (@p725 @p217) :args (@t190)) % 38.32/38.50 (step @p237 :rule refl :args (tptp.tyop_2Emin_2Ebool)) % 38.32/38.50 (step @p727 :rule cong :premises (@p237 @p726) :args (@t199)) % 38.32/38.50 (step @p728 :rule trans :premises (@p727 @p721 @p697)) % 38.32/38.50 (step-pop @p1017 :rule scope :premises (@p728)) % 38.32/38.50 (step-pop @p1018 :rule scope :premises (@p1017)) % 38.32/38.50 (step-pop @p1019 :rule scope :premises (@p1018)) % 38.32/38.50 (step-pop @p1020 :rule scope :premises (@p1019)) % 38.32/38.50 (step-pop @p1021 :rule scope :premises (@p1020)) % 38.32/38.50 (step @p729 :rule process_scope :premises (@p1021) :args (@t354)) % 38.32/38.50 (step @p735 :rule and_intro :premises (@p697 @p1010 @p371 @p1008 @p55)) % 38.32/38.50 (step @p736 :rule modus_ponens :premises (@p735 @p729)) % 38.32/38.50 (step-pop @p1022 :rule scope :premises (@p736)) % 38.32/38.50 (step-pop @p1023 :rule scope :premises (@p1022)) % 38.32/38.50 (step-pop @p1024 :rule scope :premises (@p1023)) % 38.32/38.50 (step-pop @p1025 :rule scope :premises (@p1024)) % 38.32/38.50 (step-pop @p1026 :rule scope :premises (@p1025)) % 38.32/38.50 (step @p737 :rule process_scope :premises (@p1026) :args (@t354)) % 38.32/38.50 (step @p743 :rule implies_elim :premises (@p737)) % 38.32/38.50 (step @p744 :rule cnf_and_neg :args (@t359)) % 38.32/38.50 (step @p745 :rule resolution :premises (@p744 @p743) :args (true @t359)) % 38.32/38.50 (step @p746 :rule reordering :premises (@p745) :args ((or @t261 @t259 @t291 @t354 (not @t348) @t360))) % 38.32/38.50 (step @p747 :rule chain_m_resolution :premises (@p746 @p55 @p371 @p710 @p697 @p657) :args (@t259 (@list false false true false false) (@list @t245 @t290 @t354 @t348 @t337))) % 38.32/38.50 (step @p748 :rule chain_m_resolution :premises (@p287 @p747 @p285) :args (@t270 @t334 (@list @t240 @t271))) % 38.32/38.50 (assume-push @p1027 @t331) % 38.32/38.50 (assume-push @p1028 @t286) % 38.32/38.50 (assume-push @p1029 @t245) % 38.32/38.50 (assume-push @p1030 @t249) % 38.32/38.50 (assume-push @p1031 @t270) % 38.32/38.50 (assume-push @p1032 @t253) % 38.32/38.50 (assume-push @p1033 @t337) % 38.32/38.50 (assume-push @p1034 @t311) % 38.32/38.50 (assume-push @p1035 @t337) % 38.32/38.50 (assume-push @p1036 @t286) % 38.32/38.50 (assume-push @p1037 @t311) % 38.32/38.50 (assume-push @p1038 @t253) % 38.32/38.50 (assume-push @p1039 @t249) % 38.32/38.50 (assume-push @p1040 @t331) % 38.32/38.50 (assume-push @p1041 @t270) % 38.32/38.50 (assume-push @p1042 @t245) % 38.32/38.50 (step @p765 :rule symm :premises (@p1028)) % 38.32/38.50 (step @p217 :rule refl :args (@t173)) % 38.32/38.50 (step @p766 :rule symm :premises (@p71)) % 38.32/38.50 (step @p220 :rule refl :args (@t174)) % 38.32/38.50 (step @p325 :rule symm :premises (@p69)) % 38.32/38.50 (step @p228 :rule symm :premises (@p56)) % 38.32/38.50 (step @p226 :rule refl :args (@t187)) % 38.32/38.50 (step @p229 :rule refl :args (@t21)) % 38.32/38.50 (step @p230 :rule cong :premises (@p229 @p226 @p228) :args (@t254)) % 38.32/38.50 (step @p223 :rule refl :args (tptp.tyop_2Eextreal_2Eextreal)) % 38.32/38.50 (step @p326 :rule cong :premises (@p223 @p230) :args (@t255)) % 38.32/38.50 (step @p327 :rule trans :premises (@p326 @p325)) % 38.32/38.50 (step @p322 :rule refl :args (@t23)) % 38.32/38.50 (step @p767 :rule cong :premises (@p322 @p327 @p220) :args (@t312)) % 38.32/38.50 (step @p768 :rule cong :premises (@p223 @p767) :args (@t313)) % 38.32/38.50 (step @p507 :rule symm :premises (@p327)) % 38.32/38.50 (step @p769 :rule symm :premises (@p1031)) % 38.32/38.50 (step @p770 :rule cong :premises (@p769 @p507 @p220) :args (@t243)) % 38.32/38.50 (step @p771 :rule cong :premises (@p223 @p770) :args (@t244)) % 38.32/38.50 (step @p772 :rule trans :premises (@p55 @p771 @p768 @p766)) % 38.32/38.50 (step @p773 :rule cong :premises (@p772 @p217) :args (@t190)) % 38.32/38.50 (step @p237 :rule refl :args (tptp.tyop_2Emin_2Ebool)) % 38.32/38.50 (step @p774 :rule cong :premises (@p237 @p773) :args (@t199)) % 38.32/38.50 (step @p775 :rule trans :premises (@p1027 @p774 @p765 @p1033)) % 38.32/38.50 (step-pop @p1043 :rule scope :premises (@p775)) % 38.32/38.50 (step-pop @p1044 :rule scope :premises (@p1043)) % 38.32/38.50 (step-pop @p1045 :rule scope :premises (@p1044)) % 38.32/38.50 (step-pop @p1046 :rule scope :premises (@p1045)) % 38.32/38.50 (step-pop @p1047 :rule scope :premises (@p1046)) % 38.32/38.50 (step-pop @p1048 :rule scope :premises (@p1047)) % 38.32/38.50 (step-pop @p1049 :rule scope :premises (@p1048)) % 38.32/38.50 (step-pop @p1050 :rule scope :premises (@p1049)) % 38.32/38.52 (step @p776 :rule process_scope :premises (@p1050) :args (@t295)) % 38.32/38.52 (step @p785 :rule and_intro :premises (@p1033 @p1028 @p71 @p69 @p56 @p1027 @p1031 @p55)) % 38.32/38.52 (step @p786 :rule modus_ponens :premises (@p785 @p776)) % 38.32/38.52 (step-pop @p1051 :rule scope :premises (@p786)) % 38.32/38.52 (step-pop @p1052 :rule scope :premises (@p1051)) % 38.32/38.52 (step-pop @p1053 :rule scope :premises (@p1052)) % 38.32/38.52 (step-pop @p1054 :rule scope :premises (@p1053)) % 38.32/38.52 (step-pop @p1055 :rule scope :premises (@p1054)) % 38.32/38.52 (step-pop @p1056 :rule scope :premises (@p1055)) % 38.32/38.52 (step-pop @p1057 :rule scope :premises (@p1056)) % 38.32/38.52 (step-pop @p1058 :rule scope :premises (@p1057)) % 38.32/38.52 (step @p787 :rule process_scope :premises (@p1058) :args (@t295)) % 38.32/38.52 (step @p796 :rule implies_elim :premises (@p787)) % 38.32/38.52 (step @p797 :rule cnf_and_neg :args (@t361)) % 38.32/38.52 (step @p798 :rule resolution :premises (@p797 @p796) :args (true @t361)) % 38.32/38.52 (step @p799 :rule reordering :premises (@p798) :args ((or (not @t331) (not @t286) @t261 @t260 @t285 @t257 (not @t311) @t295 @t360))) % 38.32/38.52 (step @p800 false :rule chain_m_resolution :premises (@p799 @p748 @p660 @p657 @p650 @p643 @p71 @p69 @p56 @p55) :args (false (@list false true false false false false false false false) (@list @t270 @t295 @t337 @t286 @t331 @t311 @t253 @t249 @t245))) % 38.32/38.52 ) % 38.32/38.52 % SZS output end Proof % 38.32/38.52 % cvc5 exiting %------------------------------------------------------------------------------