%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW586_2 : TPTP v9.2.1. Released v6.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.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 09:05:17 AM UTC 2026 % Result : Theorem 109.27s 109.57s % Output : Proof 109.27s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW586_2 : TPTP v9.2.1. Released v6.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n020.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 22:17:26 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.53 %----Proving TF0_ARI % 109.27/109.57 --- Run --finite-model-find --decision=internal at 45... % 109.27/109.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 109.27/109.57 --- Run --no-e-matching --full-saturate-quant at 45... % 109.27/109.57 % SZS status Theorem % 109.27/109.57 % SZS output start Proof % 109.27/109.57 ( % 109.27/109.57 (declare-sort tptp.list_char 0) % 109.27/109.57 (declare-sort tptp.char2 0) % 109.27/109.57 (declare-sort tptp.tuple02 0) % 109.27/109.57 (declare-sort tptp.bool1 0) % 109.27/109.57 (declare-sort tptp.stream1 0) % 109.27/109.57 (declare-sort tptp.ty 0) % 109.27/109.57 (declare-sort tptp.uni 0) % 109.27/109.57 (declare-sort tptp.regexp1 0) % 109.27/109.57 (declare-const tptp.state1 (-> tptp.stream1 tptp.list_char)) % 109.27/109.57 (declare-const tptp.mk_stream1 (-> tptp.list_char tptp.stream1)) % 109.27/109.57 (declare-const tptp.t2tb1 (-> tptp.char2 tptp.uni)) % 109.27/109.57 (declare-const tptp.mem2 (-> tptp.list_char tptp.regexp1 Bool)) % 109.27/109.57 (declare-const tptp.tb2t (-> tptp.uni tptp.list_char)) % 109.27/109.57 (declare-const tptp.char tptp.ty) % 109.27/109.57 (declare-const tptp.length1 (-> tptp.ty tptp.uni Int)) % 109.27/109.57 (declare-const tptp.one1 tptp.char2) % 109.27/109.57 (declare-const tptp.infix_plpl (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 109.27/109.57 (declare-const tptp.epsilon1 tptp.regexp1) % 109.27/109.57 (declare-const tptp.match_option1 (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 109.27/109.57 (declare-const tptp.empty1 tptp.regexp1) % 109.27/109.57 (declare-const tptp.match_regexp1 (-> tptp.ty tptp.regexp1 tptp.uni tptp.uni tptp.uni tptp.uni tptp.uni tptp.uni tptp.uni)) % 109.27/109.57 (declare-const tptp.none (-> tptp.ty tptp.uni)) % 109.27/109.57 (declare-const tptp.false1 tptp.bool1) % 109.27/109.57 (declare-const tptp.concat_proj_11 (-> tptp.regexp1 tptp.regexp1)) % 109.27/109.57 (declare-const tptp.match_bool1 (-> tptp.ty tptp.bool1 tptp.uni tptp.uni tptp.uni)) % 109.27/109.57 (declare-const tptp.t2tb (-> tptp.list_char tptp.uni)) % 109.27/109.57 (declare-const tptp.list (-> tptp.ty tptp.ty)) % 109.27/109.57 (declare-const tptp.match_char1 (-> tptp.ty tptp.char2 tptp.uni tptp.uni tptp.uni)) % 109.27/109.57 (declare-const tptp.alt1 (-> tptp.regexp1 tptp.regexp1 tptp.regexp1)) % 109.27/109.57 (declare-const tptp.sort1 (-> tptp.ty tptp.uni Bool)) % 109.27/109.57 (declare-const tptp.some_proj_11 (-> tptp.ty tptp.uni tptp.uni)) % 109.27/109.57 (declare-const tptp.witness1 (-> tptp.ty tptp.uni)) % 109.27/109.57 (declare-const tptp.alt_proj_21 (-> tptp.regexp1 tptp.regexp1)) % 109.27/109.57 (declare-const tptp.concat1 (-> tptp.regexp1 tptp.regexp1 tptp.regexp1)) % 109.27/109.57 (declare-const tptp.char3 (-> tptp.char2 tptp.regexp1)) % 109.27/109.57 (declare-const tptp.char_proj_11 (-> tptp.regexp1 tptp.char2)) % 109.27/109.57 (declare-const tptp.match_list (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 109.27/109.57 (declare-const tptp.zero1 tptp.char2) % 109.27/109.57 (declare-const tptp.cons_proj_1 (-> tptp.ty tptp.uni tptp.uni)) % 109.27/109.57 (declare-const tptp.mem (-> tptp.ty tptp.uni tptp.uni Bool)) % 109.27/109.57 (declare-const tptp.star1 (-> tptp.regexp1 tptp.regexp1)) % 109.27/109.57 (declare-const tptp.alt_proj_11 (-> tptp.regexp1 tptp.regexp1)) % 109.27/109.57 (declare-const tptp.tb2t1 (-> tptp.uni tptp.char2)) % 109.27/109.57 (declare-const tptp.concat_proj_21 (-> tptp.regexp1 tptp.regexp1)) % 109.27/109.57 (declare-const tptp.option (-> tptp.ty tptp.ty)) % 109.27/109.57 (declare-const tptp.true1 tptp.bool1) % 109.27/109.57 (declare-const tptp.nil (-> tptp.ty tptp.uni)) % 109.27/109.57 (declare-const tptp.tuple03 tptp.tuple02) % 109.27/109.57 (declare-const tptp.star_proj_11 (-> tptp.regexp1 tptp.regexp1)) % 109.27/109.57 (declare-const tptp.some (-> tptp.ty tptp.uni tptp.uni)) % 109.27/109.57 (declare-const tptp.cons (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 109.27/109.57 (declare-const tptp.cons_proj_2 (-> tptp.ty tptp.uni tptp.uni)) % 109.27/109.57 (define @t1 () (@var "A" tptp.ty)) % 109.27/109.57 (define @t2 () (@list @t1)) % 109.27/109.57 (define @t3 () (@var "X2" tptp.uni)) % 109.27/109.57 (define @t4 () (@var "X1" tptp.uni)) % 109.27/109.57 (define @t5 () (@var "X" tptp.bool1)) % 109.27/109.57 (define @t6 () (@var "Z" tptp.uni)) % 109.27/109.57 (define @t7 () (@var "Z1" tptp.uni)) % 109.27/109.57 (define @t8 () (tptp.sort1 @t1 @t6)) % 109.27/109.57 (define @t9 () (@list @t1 @t6 @t7)) % 109.27/109.57 (define @t10 () (tptp.sort1 @t1 @t7)) % 109.27/109.57 (define @t11 () (@var "U" tptp.bool1)) % 109.27/109.57 (define @t12 () (@var "U" tptp.tuple02)) % 109.27/109.57 (define @t13 () (@var "X" tptp.char2)) % 109.27/109.57 (define @t14 () (@var "U" tptp.char2)) % 109.27/109.57 (define @t15 () (@list @t14)) % 109.27/109.57 (define @t16 () (@var "X6" tptp.uni)) % 109.27/109.57 (define @t17 () (@var "X5" tptp.uni)) % 109.27/109.57 (define @t18 () (@var "X4" tptp.uni)) % 109.27/109.57 (define @t19 () (@var "X3" tptp.uni)) % 109.27/109.57 (define @t20 () (@var "X" tptp.regexp1)) % 109.27/109.57 (define @t21 () (@var "Z5" tptp.uni)) % 109.27/109.57 (define @t22 () (@var "Z4" tptp.uni)) % 109.27/109.57 (define @t23 () (@var "Z3" tptp.uni)) % 109.27/109.57 (define @t24 () (@var "Z2" tptp.uni)) % 109.27/109.57 (define @t25 () (@list @t1 @t6 @t7 @t24 @t23 @t22 @t21)) % 109.27/109.57 (define @t26 () (tptp.char3 @t14)) % 109.27/109.57 (define @t27 () (@var "U1" tptp.regexp1)) % 109.27/109.57 (define @t28 () (@var "U" tptp.regexp1)) % 109.27/109.57 (define @t29 () (tptp.alt1 @t28 @t27)) % 109.27/109.57 (define @t30 () (@list @t1 @t6 @t7 @t24 @t23 @t22 @t21 @t28 @t27)) % 109.27/109.57 (define @t31 () (tptp.concat1 @t28 @t27)) % 109.27/109.57 (define @t32 () (tptp.star1 @t28)) % 109.27/109.57 (define @t33 () (@var "V" tptp.char2)) % 109.27/109.57 (define @t34 () (tptp.char3 @t33)) % 109.27/109.57 (define @t35 () (@list @t33)) % 109.27/109.57 (define @t36 () (@var "V1" tptp.regexp1)) % 109.27/109.57 (define @t37 () (@var "V" tptp.regexp1)) % 109.27/109.57 (define @t38 () (tptp.alt1 @t37 @t36)) % 109.27/109.57 (define @t39 () (@list @t37 @t36)) % 109.27/109.57 (define @t40 () (tptp.concat1 @t37 @t36)) % 109.27/109.57 (define @t41 () (tptp.star1 @t37)) % 109.27/109.57 (define @t42 () (@list @t37)) % 109.27/109.57 (define @t43 () (forall @t42 (not (= tptp.epsilon1 @t41)))) % 109.27/109.57 (define @t44 () (@list @t14 @t37 @t36)) % 109.27/109.57 (define @t45 () (forall @t44 (not (= @t26 @t38)))) % 109.27/109.57 (define @t46 () (@list @t28 @t27 @t37)) % 109.27/109.57 (define @t47 () (tptp.alt_proj_11 @t29)) % 109.27/109.57 (define @t48 () (@list @t28 @t27)) % 109.27/109.57 (define @t49 () (forall @t48 (= @t47 @t28))) % 109.27/109.57 (define @t50 () (tptp.alt_proj_21 @t29)) % 109.27/109.57 (define @t51 () (forall @t48 (= @t50 @t27))) % 109.27/109.57 (define @t52 () (@list @t28)) % 109.27/109.57 (define @t53 () (tptp.nil @t1)) % 109.27/109.57 (define @t54 () (tptp.list @t1)) % 109.27/109.57 (define @t55 () (@var "X" tptp.uni)) % 109.27/109.57 (define @t56 () (tptp.cons @t1 @t55 @t4)) % 109.27/109.57 (define @t57 () (@list @t1 @t55 @t4)) % 109.27/109.57 (define @t58 () (@var "A1" tptp.ty)) % 109.27/109.57 (define @t59 () (@list @t1 @t58 @t55 @t4 @t3)) % 109.27/109.57 (define @t60 () (tptp.match_list @t58 @t1 @t53 @t6 @t7)) % 109.27/109.57 (define @t61 () (tptp.sort1 @t58 @t6)) % 109.27/109.57 (define @t62 () (=> @t61 (= @t60 @t6))) % 109.27/109.57 (define @t63 () (@list @t1 @t58 @t6 @t7)) % 109.27/109.57 (define @t64 () (forall @t63 @t62)) % 109.27/109.57 (define @t65 () (@var "U1" tptp.uni)) % 109.27/109.57 (define @t66 () (@var "U" tptp.uni)) % 109.27/109.57 (define @t67 () (tptp.cons @t1 @t66 @t65)) % 109.27/109.57 (define @t68 () (tptp.sort1 @t58 @t7)) % 109.27/109.57 (define @t69 () (@var "V1" tptp.uni)) % 109.27/109.57 (define @t70 () (@var "V" tptp.uni)) % 109.27/109.57 (define @t71 () (@list @t1 @t55)) % 109.27/109.57 (define @t72 () (tptp.sort1 @t1 @t66)) % 109.27/109.57 (define @t73 () (@list @t1 @t66 @t65)) % 109.27/109.57 (define @t74 () (@list @t1 @t66)) % 109.27/109.57 (define @t75 () (@var "L2" tptp.uni)) % 109.27/109.57 (define @t76 () (@list @t55 @t4)) % 109.27/109.57 (define @t77 () (@var "L3" tptp.uni)) % 109.27/109.57 (define @t78 () (@var "L1" tptp.uni)) % 109.27/109.57 (define @t79 () (tptp.infix_plpl @t1 @t78 @t75)) % 109.27/109.57 (define @t80 () (@var "L" tptp.uni)) % 109.27/109.57 (define @t81 () (@list @t1 @t80)) % 109.27/109.57 (define @t82 () (@var "Z" Int)) % 109.27/109.57 (define @t83 () (@var "Y" Int)) % 109.27/109.57 (define @t84 () (@var "X" Int)) % 109.27/109.57 (define @t85 () (tptp.length1 @t1 @t80)) % 109.27/109.57 (define @t86 () (tptp.mem @t1 @t55 @t3)) % 109.27/109.57 (define @t87 () (or (= @t55 @t4) @t86)) % 109.27/109.57 (define @t88 () (tptp.mem @t1 @t55 (tptp.cons @t1 @t4 @t3))) % 109.27/109.57 (define @t89 () (= @t88 @t87)) % 109.27/109.57 (define @t90 () (tptp.sort1 @t1 @t4)) % 109.27/109.57 (define @t91 () (=> @t90 @t89)) % 109.27/109.57 (define @t92 () (@list @t4 @t3)) % 109.27/109.57 (define @t93 () (forall @t92 @t91)) % 109.27/109.57 (define @t94 () (not (tptp.mem @t1 @t55 @t53))) % 109.27/109.57 (define @t95 () (and @t94 @t93)) % 109.27/109.57 (define @t96 () (tptp.sort1 @t1 @t55)) % 109.27/109.57 (define @t97 () (=> @t96 @t95)) % 109.27/109.57 (define @t98 () (forall @t71 @t97)) % 109.27/109.57 (define @t99 () (@var "X" tptp.list_char)) % 109.27/109.57 (define @t100 () (@var "I" tptp.list_char)) % 109.27/109.57 (define @t101 () (@var "J" tptp.uni)) % 109.27/109.57 (define @t102 () (tptp.t2tb (tptp.tb2t @t101))) % 109.27/109.57 (define @t103 () (@list @t101)) % 109.27/109.57 (define @t104 () (forall @t103 (= @t102 @t101))) % 109.27/109.57 (define @t105 () (tptp.nil tptp.char)) % 109.27/109.57 (define @t106 () (tptp.tb2t @t105)) % 109.27/109.57 (define @t107 () (@var "I" tptp.char2)) % 109.27/109.57 (define @t108 () (@var "C" tptp.char2)) % 109.27/109.57 (define @t109 () (tptp.char3 @t108)) % 109.27/109.57 (define @t110 () (tptp.tb2t (tptp.cons tptp.char (tptp.t2tb1 @t108) @t105))) % 109.27/109.57 (define @t111 () (@list @t108)) % 109.27/109.57 (define @t112 () (@var "R2" tptp.regexp1)) % 109.27/109.57 (define @t113 () (@var "R1" tptp.regexp1)) % 109.27/109.57 (define @t114 () (tptp.alt1 @t113 @t112)) % 109.27/109.57 (define @t115 () (@var "W" tptp.list_char)) % 109.27/109.57 (define @t116 () (tptp.mem2 @t115 @t114)) % 109.27/109.57 (define @t117 () (tptp.mem2 @t115 @t113)) % 109.27/109.57 (define @t118 () (@list @t115 @t113 @t112)) % 109.27/109.57 (define @t119 () (tptp.mem2 @t115 @t112)) % 109.27/109.57 (define @t120 () (forall @t118 (=> @t119 @t116))) % 109.27/109.57 (define @t121 () (tptp.concat1 @t113 @t112)) % 109.27/109.57 (define @t122 () (@var "W2" tptp.list_char)) % 109.27/109.57 (define @t123 () (@var "W1" tptp.list_char)) % 109.27/109.57 (define @t124 () (tptp.tb2t (tptp.infix_plpl tptp.char (tptp.t2tb @t123) (tptp.t2tb @t122)))) % 109.27/109.57 (define @t125 () (tptp.mem2 @t122 @t112)) % 109.27/109.57 (define @t126 () (tptp.mem2 @t123 @t113)) % 109.27/109.57 (define @t127 () (@list @t123 @t122 @t113 @t112)) % 109.27/109.57 (define @t128 () (@var "R" tptp.regexp1)) % 109.27/109.57 (define @t129 () (tptp.star1 @t128)) % 109.27/109.57 (define @t130 () (@list @t128)) % 109.27/109.57 (define @t131 () (tptp.mem2 @t122 @t129)) % 109.27/109.57 (define @t132 () (tptp.mem2 @t123 @t128)) % 109.27/109.57 (define @t133 () (@list @t123 @t122 @t128)) % 109.27/109.57 (define @t134 () (@var "Z1" tptp.regexp1)) % 109.27/109.57 (define @t135 () (= @t134 @t129)) % 109.27/109.57 (define @t136 () (@var "Z" tptp.list_char)) % 109.27/109.57 (define @t137 () (= @t136 @t124)) % 109.27/109.57 (define @t138 () (and @t132 @t131 @t137 @t135)) % 109.27/109.57 (define @t139 () (exists @t133 @t138)) % 109.27/109.57 (define @t140 () (= @t136 @t106)) % 109.27/109.57 (define @t141 () (and @t140 @t135)) % 109.27/109.57 (define @t142 () (exists @t130 @t141)) % 109.27/109.57 (define @t143 () (and @t126 @t125 @t137 (= @t134 @t121))) % 109.27/109.57 (define @t144 () (exists @t127 @t143)) % 109.27/109.57 (define @t145 () (= @t134 @t114)) % 109.27/109.57 (define @t146 () (= @t136 @t115)) % 109.27/109.57 (define @t147 () (and @t119 @t146 @t145)) % 109.27/109.57 (define @t148 () (exists @t118 @t147)) % 109.27/109.57 (define @t149 () (and @t117 @t146 @t145)) % 109.27/109.57 (define @t150 () (exists @t118 @t149)) % 109.27/109.57 (define @t151 () (and (= @t136 @t110) (= @t134 @t109))) % 109.27/109.57 (define @t152 () (exists @t111 @t151)) % 109.27/109.57 (define @t153 () (and @t140 (= @t134 tptp.epsilon1))) % 109.27/109.57 (define @t154 () (or @t153 @t152 @t150 @t148 @t144 @t142 @t139)) % 109.27/109.57 (define @t155 () (tptp.mem2 @t136 @t134)) % 109.27/109.57 (define @t156 () (=> @t155 @t154)) % 109.27/109.57 (define @t157 () (@list @t136 @t134)) % 109.27/109.57 (define @t158 () (forall @t157 @t156)) % 109.27/109.57 (define @t159 () (tptp.none @t1)) % 109.27/109.57 (define @t160 () (tptp.option @t1)) % 109.27/109.57 (define @t161 () (tptp.some @t1 @t66)) % 109.27/109.57 (define @t162 () (@var "U" tptp.list_char)) % 109.27/109.57 (define @t163 () (@var "U" tptp.stream1)) % 109.27/109.57 (define @t164 () (tptp.char3 tptp.one1)) % 109.27/109.57 (define @t165 () (tptp.star1 (tptp.alt1 (tptp.char3 tptp.zero1) @t164))) % 109.27/109.57 (define @t166 () (tptp.concat1 @t165 @t164)) % 109.27/109.57 (define @t167 () (@list @t115)) % 109.27/109.57 (define @t168 () (tptp.t2tb1 tptp.one1)) % 109.27/109.57 (define @t169 () (tptp.cons tptp.char @t168 @t105)) % 109.27/109.57 (define @t170 () (@var "Wqt" tptp.list_char)) % 109.27/109.57 (define @t171 () (tptp.mem2 @t115 @t166)) % 109.27/109.57 (define @t172 () (tptp.t2tb @t115)) % 109.27/109.57 (define @t173 () (tptp.tb2t (tptp.cons tptp.char (tptp.t2tb1 tptp.zero1) @t172))) % 109.27/109.57 (define @t174 () (tptp.tb2t (tptp.cons tptp.char @t168 @t172))) % 109.27/109.57 (define @t175 () (tptp.alt1 tptp.epsilon1 @t166)) % 109.27/109.57 (define @t176 () (tptp.mem2 @t115 @t175)) % 109.27/109.57 (define @t177 () (forall @t167 (= @t176 (tptp.mem2 @t174 @t175)))) % 109.27/109.57 (define @t178 () (= @t6 @t60)) % 109.27/109.57 (define @t179 () (tptp.match_list tptp.char tptp.char @t105 @t168 @t168)) % 109.27/109.57 (define @t180 () (= @t168 @t179)) % 109.27/109.57 (define @t181 () (tptp.sort1 tptp.char @t168)) % 109.27/109.57 (define @t182 () (not @t181)) % 109.27/109.57 (define @t183 () (or @t182 @t180)) % 109.27/109.57 (define @t184 () (@list false false)) % 109.27/109.57 (define @t185 () (@var "BOUND_VARIABLE_8290" tptp.uni)) % 109.27/109.57 (define @t186 () (tptp.mem @t1 @t55 @t185)) % 109.27/109.57 (define @t187 () (@var "BOUND_VARIABLE_8288" tptp.uni)) % 109.27/109.57 (define @t188 () (or (= @t187 @t55) @t186)) % 109.27/109.57 (define @t189 () (tptp.mem @t1 @t55 (tptp.cons @t1 @t187 @t185))) % 109.27/109.57 (define @t190 () (= @t189 @t188)) % 109.27/109.57 (define @t191 () (not (tptp.sort1 @t1 @t187))) % 109.27/109.57 (define @t192 () (or @t191 @t190)) % 109.27/109.57 (define @t193 () (and @t94 @t192)) % 109.27/109.57 (define @t194 () (not @t96)) % 109.27/109.57 (define @t195 () (or @t194 @t193)) % 109.27/109.57 (define @t196 () (@list @t1 @t55 @t187 @t185)) % 109.27/109.57 (define @t197 () (forall @t196 @t195)) % 109.27/109.57 (define @t198 () (@list @t187 @t185)) % 109.27/109.57 (define @t199 () (forall @t198 @t195)) % 109.27/109.57 (define @t200 () (forall @t198 @t192)) % 109.27/109.57 (define @t201 () (forall @t198 @t94)) % 109.27/109.57 (define @t202 () (and @t201 @t200)) % 109.27/109.57 (define @t203 () (forall @t198 @t193)) % 109.27/109.57 (define @t204 () (or @t194 @t203)) % 109.27/109.57 (define @t205 () (= @t88 (or (= @t4 @t55) @t86))) % 109.27/109.57 (define @t206 () (and @t94 (forall @t92 (or (not @t90) @t205)))) % 109.27/109.57 (define @t207 () (tptp.mem tptp.char @t168 @t169)) % 109.27/109.57 (define @t208 () (tptp.mem tptp.char @t168 @t105)) % 109.27/109.57 (define @t209 () (or (= @t168 @t168) @t208)) % 109.27/109.57 (define @t210 () (= @t207 @t209)) % 109.27/109.57 (define @t211 () (or @t182 @t210)) % 109.27/109.57 (define @t212 () (not @t208)) % 109.27/109.57 (define @t213 () (and @t212 @t211)) % 109.27/109.57 (define @t214 () (or @t182 @t213)) % 109.27/109.57 (define @t215 () (forall @t196 (or @t194 (and @t94 (or @t191 (= @t189 (or (= @t55 @t187) @t186))))))) % 109.27/109.57 (define @t216 () (and @t212 (or @t182 @t207))) % 109.27/109.57 (define @t217 () (or @t182 @t216)) % 109.27/109.57 (define @t218 () (@list false)) % 109.27/109.57 (define @t219 () (@list @t215)) % 109.27/109.57 (define @t220 () (@quantifiers_skolemize @t177 0)) % 109.27/109.57 (define @t221 () (tptp.t2tb @t220)) % 109.27/109.57 (define @t222 () (tptp.cons tptp.char @t168 @t221)) % 109.27/109.57 (define @t223 () (tptp.cons tptp.char @t179 @t221)) % 109.27/109.57 (define @t224 () (tptp.mem tptp.char @t179 @t223)) % 109.27/109.57 (define @t225 () (tptp.mem tptp.char @t179 @t221)) % 109.27/109.57 (define @t226 () (or (= @t179 @t179) @t225)) % 109.27/109.57 (define @t227 () (= @t224 @t226)) % 109.27/109.57 (define @t228 () (tptp.sort1 tptp.char @t179)) % 109.27/109.57 (define @t229 () (not @t228)) % 109.27/109.57 (define @t230 () (or @t229 @t227)) % 109.27/109.57 (define @t231 () (not (tptp.mem tptp.char @t179 @t105))) % 109.27/109.57 (define @t232 () (and @t231 @t230)) % 109.27/109.57 (define @t233 () (or @t229 @t232)) % 109.27/109.57 (define @t234 () (or @t229 @t224)) % 109.27/109.57 (define @t235 () (and @t231 @t234)) % 109.27/109.57 (define @t236 () (or @t229 @t235)) % 109.27/109.57 (define @t237 () (not (= @t129 @t175))) % 109.27/109.57 (define @t238 () (tptp.tb2t @t222)) % 109.27/109.57 (define @t239 () (= @t106 @t238)) % 109.27/109.57 (define @t240 () (and @t239 (not (forall @t130 @t237)))) % 109.27/109.57 (define @t241 () (= @t129 @t134)) % 109.27/109.57 (define @t242 () (not @t241)) % 109.27/109.57 (define @t243 () (= @t124 @t136)) % 109.27/109.57 (define @t244 () (not @t243)) % 109.27/109.57 (define @t245 () (not @t131)) % 109.27/109.57 (define @t246 () (not @t132)) % 109.27/109.57 (define @t247 () (or @t246 @t245 @t244 @t242)) % 109.27/109.57 (define @t248 () (not (forall @t133 @t247))) % 109.27/109.57 (define @t249 () (forall @t130 @t242)) % 109.27/109.57 (define @t250 () (not @t249)) % 109.27/109.57 (define @t251 () (= @t106 @t136)) % 109.27/109.57 (define @t252 () (and @t251 @t250)) % 109.27/109.57 (define @t253 () (= @t121 @t134)) % 109.27/109.57 (define @t254 () (not @t253)) % 109.27/109.57 (define @t255 () (not @t125)) % 109.27/109.57 (define @t256 () (not @t126)) % 109.27/109.57 (define @t257 () (or @t256 @t255 @t244 @t254)) % 109.27/109.57 (define @t258 () (not (forall @t127 @t257))) % 109.27/109.57 (define @t259 () (= @t114 @t134)) % 109.27/109.57 (define @t260 () (not @t259)) % 109.27/109.57 (define @t261 () (not (tptp.mem2 @t136 @t112))) % 109.27/109.57 (define @t262 () (or @t261 @t260)) % 109.27/109.57 (define @t263 () (@list @t113 @t112)) % 109.27/109.57 (define @t264 () (not (forall @t263 @t262))) % 109.27/109.57 (define @t265 () (not (tptp.mem2 @t136 @t113))) % 109.27/109.57 (define @t266 () (or @t265 @t260)) % 109.27/109.57 (define @t267 () (not (forall @t263 @t266))) % 109.27/109.57 (define @t268 () (= @t109 @t134)) % 109.27/109.57 (define @t269 () (= @t110 @t136)) % 109.27/109.57 (define @t270 () (not (forall @t111 (or (not @t269) (not @t268))))) % 109.27/109.57 (define @t271 () (and @t251 (= tptp.epsilon1 @t134))) % 109.27/109.57 (define @t272 () (not @t155)) % 109.27/109.57 (define @t273 () (or @t272 @t271 @t270 @t267 @t264 @t258 @t252 @t248)) % 109.27/109.57 (define @t274 () (not @t251)) % 109.27/109.57 (define @t275 () (or @t274 @t249)) % 109.27/109.57 (define @t276 () (or @t271 @t270 @t267 @t264 @t258 (not @t275) @t248)) % 109.27/109.57 (define @t277 () (and @t132 @t131 @t243 @t241)) % 109.27/109.57 (define @t278 () (forall @t133 (not @t277))) % 109.27/109.57 (define @t279 () (not @t278)) % 109.27/109.57 (define @t280 () (and @t251 @t241)) % 109.27/109.57 (define @t281 () (forall @t130 (not @t280))) % 109.27/109.57 (define @t282 () (not @t281)) % 109.27/109.57 (define @t283 () (and @t126 @t125 @t243 @t253)) % 109.27/109.57 (define @t284 () (forall @t127 (not @t283))) % 109.27/109.57 (define @t285 () (not @t284)) % 109.27/109.57 (define @t286 () (not (= @t136 @t136))) % 109.27/109.57 (define @t287 () (or @t261 @t286 @t260)) % 109.27/109.57 (define @t288 () (= @t115 @t136)) % 109.27/109.57 (define @t289 () (not @t288)) % 109.27/109.57 (define @t290 () (not @t119)) % 109.27/109.57 (define @t291 () (or @t289 @t290 @t289 @t260)) % 109.27/109.57 (define @t292 () (or @t290 @t289 @t260)) % 109.27/109.57 (define @t293 () (forall @t167 @t292)) % 109.27/109.57 (define @t294 () (forall @t263 @t293)) % 109.27/109.57 (define @t295 () (@list @t113 @t112 @t115)) % 109.27/109.57 (define @t296 () (forall @t295 @t292)) % 109.27/109.57 (define @t297 () (or @t289 @t260)) % 109.27/109.57 (define @t298 () (not (and @t288 @t259))) % 109.27/109.57 (define @t299 () (and @t119 @t288 @t259)) % 109.27/109.57 (define @t300 () (forall @t118 (not @t299))) % 109.27/109.57 (define @t301 () (not @t300)) % 109.27/109.57 (define @t302 () (or @t265 @t286 @t260)) % 109.27/109.57 (define @t303 () (not @t117)) % 109.27/109.57 (define @t304 () (or @t289 @t303 @t289 @t260)) % 109.27/109.57 (define @t305 () (or @t303 @t289 @t260)) % 109.27/109.57 (define @t306 () (forall @t167 @t305)) % 109.27/109.57 (define @t307 () (forall @t263 @t306)) % 109.27/109.57 (define @t308 () (forall @t295 @t305)) % 109.27/109.57 (define @t309 () (and @t117 @t288 @t259)) % 109.27/109.57 (define @t310 () (forall @t118 (not @t309))) % 109.27/109.57 (define @t311 () (not @t310)) % 109.27/109.57 (define @t312 () (and @t269 @t268)) % 109.27/109.57 (define @t313 () (forall @t111 (not @t312))) % 109.27/109.57 (define @t314 () (not @t313)) % 109.27/109.57 (define @t315 () (not (= @t129 tptp.epsilon1))) % 109.27/109.57 (define @t316 () (not (= @t124 @t238))) % 109.27/109.57 (define @t317 () (or @t246 @t245 @t316 @t315)) % 109.27/109.57 (define @t318 () (forall @t133 @t317)) % 109.27/109.57 (define @t319 () (not @t318)) % 109.27/109.57 (define @t320 () (forall @t130 @t315)) % 109.27/109.57 (define @t321 () (not @t320)) % 109.27/109.57 (define @t322 () (and @t239 @t321)) % 109.27/109.57 (define @t323 () (not (= @t121 tptp.epsilon1))) % 109.27/109.57 (define @t324 () (or @t256 @t255 @t316 @t323)) % 109.27/109.57 (define @t325 () (forall @t127 @t324)) % 109.27/109.57 (define @t326 () (not @t325)) % 109.27/109.57 (define @t327 () (not (= @t114 tptp.epsilon1))) % 109.27/109.57 (define @t328 () (not (tptp.mem2 @t238 @t112))) % 109.27/109.57 (define @t329 () (or @t328 @t327)) % 109.27/109.57 (define @t330 () (forall @t263 @t329)) % 109.27/109.57 (define @t331 () (not @t330)) % 109.27/109.57 (define @t332 () (not (tptp.mem2 @t238 @t113))) % 109.27/109.57 (define @t333 () (or @t332 @t327)) % 109.27/109.57 (define @t334 () (forall @t263 @t333)) % 109.27/109.57 (define @t335 () (not @t334)) % 109.27/109.57 (define @t336 () (not (= @t109 tptp.epsilon1))) % 109.27/109.57 (define @t337 () (not (= @t110 @t238))) % 109.27/109.57 (define @t338 () (or @t337 @t336)) % 109.27/109.57 (define @t339 () (forall @t111 @t338)) % 109.27/109.57 (define @t340 () (not @t339)) % 109.27/109.57 (define @t341 () (and @t239 (= tptp.epsilon1 tptp.epsilon1))) % 109.27/109.57 (define @t342 () (tptp.mem2 @t238 tptp.epsilon1)) % 109.27/109.57 (define @t343 () (not @t342)) % 109.27/109.57 (define @t344 () (or @t343 @t341 @t340 @t335 @t331 @t326 @t322 @t319)) % 109.27/109.57 (define @t345 () (forall @t157 @t273)) % 109.27/109.57 (define @t346 () (not (= tptp.epsilon1 @t129))) % 109.27/109.57 (define @t347 () (forall @t133 (or @t246 @t245 @t316 @t346))) % 109.27/109.57 (define @t348 () (not @t347)) % 109.27/109.57 (define @t349 () (forall @t130 @t346)) % 109.27/109.57 (define @t350 () (not @t349)) % 109.27/109.57 (define @t351 () (and @t239 @t350)) % 109.27/109.57 (define @t352 () (forall @t127 (or @t256 @t255 @t316 (not (= tptp.epsilon1 @t121))))) % 109.27/109.57 (define @t353 () (not @t352)) % 109.27/109.57 (define @t354 () (not (= tptp.epsilon1 @t114))) % 109.27/109.57 (define @t355 () (forall @t263 (or @t328 @t354))) % 109.27/109.57 (define @t356 () (not @t355)) % 109.27/109.57 (define @t357 () (forall @t263 (or @t332 @t354))) % 109.27/109.57 (define @t358 () (not @t357)) % 109.27/109.57 (define @t359 () (forall @t111 (or @t337 (not (= tptp.epsilon1 @t109))))) % 109.27/109.57 (define @t360 () (not @t359)) % 109.27/109.57 (define @t361 () (or @t343 @t239 @t360 @t358 @t356 @t353 @t351 @t348)) % 109.27/109.57 (define @t362 () (@quantifiers_skolemize @t347 2)) % 109.27/109.57 (define @t363 () (tptp.star1 @t362)) % 109.27/109.57 (define @t364 () (= tptp.epsilon1 @t363)) % 109.27/109.57 (define @t365 () (not @t364)) % 109.27/109.57 (define @t366 () (@quantifiers_skolemize @t347 1)) % 109.27/109.57 (define @t367 () (@quantifiers_skolemize @t347 0)) % 109.27/109.57 (define @t368 () (tptp.tb2t (tptp.infix_plpl tptp.char (tptp.t2tb @t367) (tptp.t2tb @t366)))) % 109.27/109.57 (define @t369 () (not (tptp.mem2 @t366 @t363))) % 109.27/109.57 (define @t370 () (not (tptp.mem2 @t367 @t362))) % 109.27/109.57 (define @t371 () (or @t370 @t369 (not (= @t238 @t368)) @t365)) % 109.27/109.57 (define @t372 () (@list true)) % 109.27/109.57 (define @t373 () (not @t371)) % 109.27/109.57 (define @t374 () (not (= @t368 @t238))) % 109.27/109.57 (define @t375 () (or @t370 @t369 @t374 @t365)) % 109.27/109.57 (define @t376 () (not @t375)) % 109.27/109.57 (define @t377 () (not @t351)) % 109.27/109.57 (define @t378 () (@quantifiers_skolemize @t352 3)) % 109.27/109.57 (define @t379 () (@quantifiers_skolemize @t352 2)) % 109.27/109.57 (define @t380 () (= tptp.epsilon1 (tptp.concat1 @t379 @t378))) % 109.27/109.57 (define @t381 () (not @t380)) % 109.27/109.57 (define @t382 () (@quantifiers_skolemize @t352 1)) % 109.27/109.57 (define @t383 () (@quantifiers_skolemize @t352 0)) % 109.27/109.57 (define @t384 () (tptp.tb2t (tptp.infix_plpl tptp.char (tptp.t2tb @t383) (tptp.t2tb @t382)))) % 109.27/109.57 (define @t385 () (not (tptp.mem2 @t382 @t378))) % 109.27/109.57 (define @t386 () (not (tptp.mem2 @t383 @t379))) % 109.27/109.57 (define @t387 () (or @t386 @t385 (not (= @t238 @t384)) @t381)) % 109.27/109.57 (define @t388 () (not @t387)) % 109.27/109.57 (define @t389 () (not (= @t384 @t238))) % 109.27/109.57 (define @t390 () (or @t386 @t385 @t389 @t381)) % 109.27/109.57 (define @t391 () (not @t390)) % 109.27/109.57 (define @t392 () (@quantifiers_skolemize @t355 1)) % 109.27/109.57 (define @t393 () (@quantifiers_skolemize @t355 0)) % 109.27/109.57 (define @t394 () (= tptp.epsilon1 (tptp.alt1 @t393 @t392))) % 109.27/109.57 (define @t395 () (not @t394)) % 109.27/109.57 (define @t396 () (or (not (tptp.mem2 @t238 @t392)) @t395)) % 109.27/109.57 (define @t397 () (not @t396)) % 109.27/109.57 (define @t398 () (@quantifiers_skolemize @t357 1)) % 109.27/109.57 (define @t399 () (@quantifiers_skolemize @t357 0)) % 109.27/109.57 (define @t400 () (= tptp.epsilon1 (tptp.alt1 @t399 @t398))) % 109.27/109.57 (define @t401 () (not @t400)) % 109.27/109.57 (define @t402 () (or (not (tptp.mem2 @t238 @t399)) @t401)) % 109.27/109.57 (define @t403 () (not @t402)) % 109.27/109.57 (define @t404 () (@quantifiers_skolemize @t359 0)) % 109.27/109.57 (define @t405 () (= tptp.epsilon1 (tptp.char3 @t404))) % 109.27/109.57 (define @t406 () (not @t405)) % 109.27/109.57 (define @t407 () (tptp.tb2t (tptp.cons tptp.char (tptp.t2tb1 @t404) @t105))) % 109.27/109.57 (define @t408 () (or (not (= @t238 @t407)) @t406)) % 109.27/109.57 (define @t409 () (not @t408)) % 109.27/109.57 (define @t410 () (not (= @t407 @t238))) % 109.27/109.57 (define @t411 () (or @t410 @t406)) % 109.27/109.57 (define @t412 () (not @t411)) % 109.27/109.57 (define @t413 () (tptp.mem2 @t238 @t175)) % 109.27/109.57 (define @t414 () (tptp.mem2 @t220 @t175)) % 109.27/109.57 (define @t415 () (= @t414 @t413)) % 109.27/109.57 (define @t416 () (tptp.mem2 @t238 @t166)) % 109.27/109.57 (define @t417 () (= @t414 @t416)) % 109.27/109.57 (define @t418 () (not @t417)) % 109.27/109.57 (define @t419 () (not @t414)) % 109.27/109.57 (define @t420 () (not @t416)) % 109.27/109.57 (define @t421 () (or @t420 @t413)) % 109.27/109.57 (define @t422 () (forall @t133 (or @t246 @t245 @t316 @t237))) % 109.27/109.57 (define @t423 () (@quantifiers_skolemize @t422 2)) % 109.27/109.57 (define @t424 () (tptp.star1 @t423)) % 109.27/109.57 (define @t425 () (= @t175 @t424)) % 109.27/109.57 (define @t426 () (not @t425)) % 109.27/109.57 (define @t427 () (@quantifiers_skolemize @t422 1)) % 109.27/109.57 (define @t428 () (@quantifiers_skolemize @t422 0)) % 109.27/109.57 (define @t429 () (tptp.tb2t (tptp.infix_plpl tptp.char (tptp.t2tb @t428) (tptp.t2tb @t427)))) % 109.27/109.57 (define @t430 () (not (tptp.mem2 @t427 @t424))) % 109.27/109.57 (define @t431 () (not (tptp.mem2 @t428 @t423))) % 109.27/109.57 (define @t432 () (or @t431 @t430 (not (= @t238 @t429)) @t426)) % 109.27/109.57 (define @t433 () (not @t432)) % 109.27/109.57 (define @t434 () (not @t422)) % 109.27/109.57 (define @t435 () (not (= @t424 @t175))) % 109.27/109.57 (define @t436 () (not (= @t429 @t238))) % 109.27/109.57 (define @t437 () (or @t431 @t430 @t436 @t435)) % 109.27/109.57 (define @t438 () (not @t437)) % 109.27/109.57 (define @t439 () (forall @t127 (or @t256 @t255 @t316 (not (= @t121 @t175))))) % 109.27/109.57 (define @t440 () (@quantifiers_skolemize @t439 3)) % 109.27/109.57 (define @t441 () (@quantifiers_skolemize @t439 2)) % 109.27/109.57 (define @t442 () (tptp.concat1 @t441 @t440)) % 109.27/109.57 (define @t443 () (= @t175 @t442)) % 109.27/109.57 (define @t444 () (not @t443)) % 109.27/109.57 (define @t445 () (@quantifiers_skolemize @t439 1)) % 109.27/109.57 (define @t446 () (@quantifiers_skolemize @t439 0)) % 109.27/109.57 (define @t447 () (tptp.tb2t (tptp.infix_plpl tptp.char (tptp.t2tb @t446) (tptp.t2tb @t445)))) % 109.27/109.57 (define @t448 () (not (tptp.mem2 @t445 @t440))) % 109.27/109.57 (define @t449 () (not (tptp.mem2 @t446 @t441))) % 109.27/109.57 (define @t450 () (or @t449 @t448 (not (= @t238 @t447)) @t444)) % 109.27/109.57 (define @t451 () (not @t450)) % 109.27/109.57 (define @t452 () (not @t439)) % 109.27/109.57 (define @t453 () (not (= @t442 @t175))) % 109.27/109.57 (define @t454 () (not (= @t447 @t238))) % 109.27/109.57 (define @t455 () (or @t449 @t448 @t454 @t453)) % 109.27/109.57 (define @t456 () (not @t455)) % 109.27/109.57 (define @t457 () (not (= @t114 @t175))) % 109.27/109.57 (define @t458 () (forall @t263 (or @t328 @t457))) % 109.27/109.57 (define @t459 () (@quantifiers_skolemize @t458 1)) % 109.27/109.57 (define @t460 () (tptp.mem2 @t238 @t459)) % 109.27/109.57 (define @t461 () (@quantifiers_skolemize @t458 0)) % 109.27/109.57 (define @t462 () (tptp.alt1 @t461 @t459)) % 109.27/109.57 (define @t463 () (= @t175 @t462)) % 109.27/109.57 (define @t464 () (not @t463)) % 109.27/109.57 (define @t465 () (not @t460)) % 109.27/109.57 (define @t466 () (or @t465 @t464)) % 109.27/109.57 (define @t467 () (@list tptp.epsilon1 @t166)) % 109.27/109.57 (define @t468 () (tptp.alt_proj_21 @t462)) % 109.27/109.57 (define @t469 () (= @t459 @t468)) % 109.27/109.57 (define @t470 () (not @t469)) % 109.27/109.57 (define @t471 () (= @t166 (tptp.alt_proj_21 @t175))) % 109.27/109.57 (define @t472 () (not @t471)) % 109.27/109.57 (define @t473 () (= true false)) % 109.27/109.57 (define @t474 () (and @t420 @t471 @t463 @t469 @t460)) % 109.27/109.57 (define @t475 () (not @t466)) % 109.27/109.57 (define @t476 () (not @t458)) % 109.27/109.57 (define @t477 () (not (= @t462 @t175))) % 109.27/109.57 (define @t478 () (or @t465 @t477)) % 109.27/109.57 (define @t479 () (not @t478)) % 109.27/109.57 (define @t480 () (forall @t111 (or @t337 (not (= @t109 @t175))))) % 109.27/109.57 (define @t481 () (@quantifiers_skolemize @t480 0)) % 109.27/109.57 (define @t482 () (tptp.char3 @t481)) % 109.27/109.57 (define @t483 () (not (= @t482 @t175))) % 109.27/109.57 (define @t484 () (= @t175 @t482)) % 109.27/109.57 (define @t485 () (not @t484)) % 109.27/109.57 (define @t486 () (tptp.tb2t (tptp.cons tptp.char (tptp.t2tb1 @t481) @t105))) % 109.27/109.57 (define @t487 () (or (not (= @t238 @t486)) @t485)) % 109.27/109.57 (define @t488 () (not @t487)) % 109.27/109.57 (define @t489 () (not @t480)) % 109.27/109.57 (define @t490 () (not (= @t486 @t238))) % 109.27/109.57 (define @t491 () (or @t490 @t483)) % 109.27/109.57 (define @t492 () (not @t491)) % 109.27/109.57 (define @t493 () (= tptp.epsilon1 @t175)) % 109.27/109.57 (define @t494 () (and @t239 @t493)) % 109.27/109.57 (define @t495 () (not @t494)) % 109.27/109.57 (define @t496 () (forall @t263 (or @t332 @t457))) % 109.27/109.57 (define @t497 () (not @t496)) % 109.27/109.57 (define @t498 () (not @t413)) % 109.27/109.57 (define @t499 () (or @t498 @t494 @t489 @t497 @t476 @t452 @t240 @t434)) % 109.27/109.57 (define @t500 () (@quantifiers_skolemize @t496 0)) % 109.27/109.57 (define @t501 () (tptp.mem2 @t238 @t500)) % 109.27/109.57 (define @t502 () (@quantifiers_skolemize @t496 1)) % 109.27/109.57 (define @t503 () (tptp.alt1 @t500 @t502)) % 109.27/109.57 (define @t504 () (= @t175 @t503)) % 109.27/109.57 (define @t505 () (not @t504)) % 109.27/109.57 (define @t506 () (not @t501)) % 109.27/109.57 (define @t507 () (or @t506 @t505)) % 109.27/109.57 (define @t508 () (tptp.alt_proj_11 @t503)) % 109.27/109.57 (define @t509 () (= @t500 @t508)) % 109.27/109.57 (define @t510 () (not @t509)) % 109.27/109.57 (define @t511 () (= tptp.epsilon1 (tptp.alt_proj_11 @t175))) % 109.27/109.57 (define @t512 () (not @t511)) % 109.27/109.57 (define @t513 () (and @t343 @t511 @t504 @t509 @t501)) % 109.27/109.57 (define @t514 () (not @t507)) % 109.27/109.57 (define @t515 () (not (= @t503 @t175))) % 109.27/109.57 (define @t516 () (or @t506 @t515)) % 109.27/109.57 (define @t517 () (not @t516)) % 109.27/109.57 (define @t518 () (not @t224)) % 109.27/109.57 (define @t519 () (not @t239)) % 109.27/109.57 (define @t520 () (tptp.t2tb @t238)) % 109.27/109.57 (define @t521 () (= @t222 @t520)) % 109.27/109.57 (define @t522 () (not @t521)) % 109.27/109.57 (define @t523 () (= @t105 (tptp.t2tb @t106))) % 109.27/109.57 (define @t524 () (not @t523)) % 109.27/109.57 (define @t525 () (not @t180)) % 109.27/109.57 (define @t526 () (and @t212 @t180 @t523 @t239 @t521 @t224)) % 109.27/109.57 (assume @p1 (forall @t2 (tptp.sort1 @t1 (tptp.witness1 @t1)))) % 109.27/109.57 (assume @p2 (forall (@list @t1 @t5 @t4 @t3) (tptp.sort1 @t1 (tptp.match_bool1 @t1 @t5 @t4 @t3)))) % 109.27/109.57 (assume @p3 (forall @t9 (=> @t8 (= (tptp.match_bool1 @t1 tptp.true1 @t6 @t7) @t6)))) % 109.27/109.57 (assume @p4 (forall @t9 (=> @t10 (= (tptp.match_bool1 @t1 tptp.false1 @t6 @t7) @t7)))) % 109.27/109.57 (assume @p5 (not (= tptp.true1 tptp.false1))) % 109.27/109.57 (assume @p6 (forall (@list @t11) (or (= @t11 tptp.true1) (= @t11 tptp.false1)))) % 109.27/109.57 (assume @p7 (forall (@list @t12) (= @t12 tptp.tuple03))) % 109.27/109.57 (assume @p8 (forall (@list @t1 @t13 @t4 @t3) (tptp.sort1 @t1 (tptp.match_char1 @t1 @t13 @t4 @t3)))) % 109.27/109.57 (assume @p9 (forall @t9 (=> @t8 (= (tptp.match_char1 @t1 tptp.zero1 @t6 @t7) @t6)))) % 109.27/109.57 (assume @p10 (forall @t9 (=> @t10 (= (tptp.match_char1 @t1 tptp.one1 @t6 @t7) @t7)))) % 109.27/109.57 (assume @p11 (not (= tptp.zero1 tptp.one1))) % 109.27/109.57 (assume @p12 (forall @t15 (or (= @t14 tptp.zero1) (= @t14 tptp.one1)))) % 109.27/109.57 (assume @p13 (forall (@list @t1 @t20 @t4 @t3 @t19 @t18 @t17 @t16) (tptp.sort1 @t1 (tptp.match_regexp1 @t1 @t20 @t4 @t3 @t19 @t18 @t17 @t16)))) % 109.27/109.57 (assume @p14 (forall @t25 (=> @t8 (= (tptp.match_regexp1 @t1 tptp.empty1 @t6 @t7 @t24 @t23 @t22 @t21) @t6)))) % 109.27/109.57 (assume @p15 (forall @t25 (=> @t10 (= (tptp.match_regexp1 @t1 tptp.epsilon1 @t6 @t7 @t24 @t23 @t22 @t21) @t7)))) % 109.27/109.57 (assume @p16 (forall (@list @t1 @t6 @t7 @t24 @t23 @t22 @t21 @t14) (=> (tptp.sort1 @t1 @t24) (= (tptp.match_regexp1 @t1 @t26 @t6 @t7 @t24 @t23 @t22 @t21) @t24)))) % 109.27/109.57 (assume @p17 (forall @t30 (=> (tptp.sort1 @t1 @t23) (= (tptp.match_regexp1 @t1 @t29 @t6 @t7 @t24 @t23 @t22 @t21) @t23)))) % 109.27/109.57 (assume @p18 (forall @t30 (=> (tptp.sort1 @t1 @t22) (= (tptp.match_regexp1 @t1 @t31 @t6 @t7 @t24 @t23 @t22 @t21) @t22)))) % 109.27/109.57 (assume @p19 (forall (@list @t1 @t6 @t7 @t24 @t23 @t22 @t21 @t28) (=> (tptp.sort1 @t1 @t21) (= (tptp.match_regexp1 @t1 @t32 @t6 @t7 @t24 @t23 @t22 @t21) @t21)))) % 109.27/109.57 (assume @p20 (not (= tptp.empty1 tptp.epsilon1))) % 109.27/109.57 (assume @p21 (forall @t35 (not (= tptp.empty1 @t34)))) % 109.27/109.57 (assume @p22 (forall @t39 (not (= tptp.empty1 @t38)))) % 109.27/109.57 (assume @p23 (forall @t39 (not (= tptp.empty1 @t40)))) % 109.27/109.57 (assume @p24 (forall @t42 (not (= tptp.empty1 @t41)))) % 109.27/109.57 (assume @p25 (forall @t35 (not (= tptp.epsilon1 @t34)))) % 109.27/109.57 (assume @p26 (forall @t39 (not (= tptp.epsilon1 @t38)))) % 109.27/109.57 (assume @p27 (forall @t39 (not (= tptp.epsilon1 @t40)))) % 109.27/109.57 (assume @p28 @t43) % 109.27/109.57 (assume @p29 @t45) % 109.27/109.57 (assume @p30 (forall @t44 (not (= @t26 @t40)))) % 109.27/109.57 (assume @p31 (forall (@list @t14 @t37) (not (= @t26 @t41)))) % 109.27/109.57 (assume @p32 (forall (@list @t28 @t27 @t37 @t36) (not (= @t29 @t40)))) % 109.27/109.57 (assume @p33 (forall @t46 (not (= @t29 @t41)))) % 109.27/109.57 (assume @p34 (forall @t46 (not (= @t31 @t41)))) % 109.27/109.57 (assume @p35 (forall @t15 (= (tptp.char_proj_11 @t26) @t14))) % 109.27/109.57 (assume @p36 @t49) % 109.27/109.57 (assume @p37 @t51) % 109.27/109.57 (assume @p38 (forall @t48 (= (tptp.concat_proj_11 @t31) @t28))) % 109.27/109.57 (assume @p39 (forall @t48 (= (tptp.concat_proj_21 @t31) @t27))) % 109.27/109.57 (assume @p40 (forall @t52 (= (tptp.star_proj_11 @t32) @t28))) % 109.27/109.57 (assume @p41 (forall @t52 (or (= @t28 tptp.empty1) (= @t28 tptp.epsilon1) (= @t28 (tptp.char3 (tptp.char_proj_11 @t28))) (= @t28 (tptp.alt1 (tptp.alt_proj_11 @t28) (tptp.alt_proj_21 @t28))) (= @t28 (tptp.concat1 (tptp.concat_proj_11 @t28) (tptp.concat_proj_21 @t28))) (= @t28 (tptp.star1 (tptp.star_proj_11 @t28)))))) % 109.27/109.57 (assume @p42 (forall @t2 (tptp.sort1 @t54 @t53))) % 109.27/109.57 (assume @p43 (forall @t57 (tptp.sort1 @t54 @t56))) % 109.27/109.57 (assume @p44 (forall @t59 (tptp.sort1 @t58 (tptp.match_list @t58 @t1 @t55 @t4 @t3)))) % 109.27/109.57 (assume @p45 @t64) % 109.27/109.57 (assume @p46 (forall (@list @t1 @t58 @t6 @t7 @t66 @t65) (=> @t68 (= (tptp.match_list @t58 @t1 @t67 @t6 @t7) @t7)))) % 109.27/109.57 (assume @p47 (forall (@list @t1 @t70 @t69) (not (= @t53 (tptp.cons @t1 @t70 @t69))))) % 109.27/109.57 (assume @p48 (forall @t71 (tptp.sort1 @t1 (tptp.cons_proj_1 @t1 @t55)))) % 109.27/109.57 (assume @p49 (forall @t73 (=> @t72 (= (tptp.cons_proj_1 @t1 @t67) @t66)))) % 109.27/109.57 (assume @p50 (forall @t71 (tptp.sort1 @t54 (tptp.cons_proj_2 @t1 @t55)))) % 109.27/109.57 (assume @p51 (forall @t73 (= (tptp.cons_proj_2 @t1 @t67) @t65))) % 109.27/109.57 (assume @p52 (forall @t74 (or (= @t66 @t53) (= @t66 (tptp.cons @t1 (tptp.cons_proj_1 @t1 @t66) (tptp.cons_proj_2 @t1 @t66)))))) % 109.27/109.57 (assume @p53 (forall @t57 (tptp.sort1 @t54 (tptp.infix_plpl @t1 @t55 @t4)))) % 109.27/109.57 (assume @p54 (forall (@list @t1 @t75) (and (= (tptp.infix_plpl @t1 @t53 @t75) @t75) (forall @t76 (= (tptp.infix_plpl @t1 @t56 @t75) (tptp.cons @t1 @t55 (tptp.infix_plpl @t1 @t4 @t75))))))) % 109.27/109.57 (assume @p55 (forall (@list @t1 @t78 @t75 @t77) (= (tptp.infix_plpl @t1 @t78 (tptp.infix_plpl @t1 @t75 @t77)) (tptp.infix_plpl @t1 @t79 @t77)))) % 109.27/109.57 (assume @p56 (forall @t81 (= (tptp.infix_plpl @t1 @t80 @t53) @t80))) % 109.27/109.57 (assume @p57 (forall (@list @t84 @t83 @t82) (=> (<= @t84 @t83) (=> (<= 0 @t82) (<= (* @t84 @t82) (* @t83 @t82)))))) % 109.27/109.57 (assume @p58 (forall @t2 (and (= (tptp.length1 @t1 @t53) 0) (forall @t76 (= (tptp.length1 @t1 @t56) (+ 1 (tptp.length1 @t1 @t4))))))) % 109.27/109.57 (assume @p59 (forall @t81 (<= 0 @t85))) % 109.27/109.57 (assume @p60 (forall @t81 (= (= @t85 0) (= @t80 @t53)))) % 109.27/109.57 (assume @p61 (forall (@list @t1 @t78 @t75) (= (tptp.length1 @t1 @t79) (+ (tptp.length1 @t1 @t78) (tptp.length1 @t1 @t75))))) % 109.27/109.57 (assume @p62 @t98) % 109.27/109.57 (assume @p63 (forall (@list @t1 @t55 @t78 @t75) (= (tptp.mem @t1 @t55 @t79) (or (tptp.mem @t1 @t55 @t78) (tptp.mem @t1 @t55 @t75))))) % 109.27/109.57 (assume @p64 (forall (@list @t1 @t55 @t80) (=> (tptp.mem @t1 @t55 @t80) (exists (@list @t78 @t75) (and (tptp.sort1 @t54 @t78) (tptp.sort1 @t54 @t75) (= @t80 (tptp.infix_plpl @t1 @t78 (tptp.cons @t1 @t55 @t75)))))))) % 109.27/109.57 (assume @p65 (forall (@list @t99) (tptp.sort1 (tptp.list tptp.char) (tptp.t2tb @t99)))) % 109.27/109.57 (assume @p66 (forall (@list @t100) (= (tptp.tb2t (tptp.t2tb @t100)) @t100))) % 109.27/109.57 (assume @p67 @t104) % 109.27/109.57 (assume @p68 (tptp.mem2 @t106 tptp.epsilon1)) % 109.27/109.57 (assume @p69 (forall (@list @t13) (tptp.sort1 tptp.char (tptp.t2tb1 @t13)))) % 109.27/109.57 (assume @p70 (forall (@list @t107) (= (tptp.tb2t1 (tptp.t2tb1 @t107)) @t107))) % 109.27/109.57 (assume @p71 (forall @t103 (=> (tptp.sort1 tptp.char @t101) (= (tptp.t2tb1 (tptp.tb2t1 @t101)) @t101)))) % 109.27/109.57 (assume @p72 (forall @t111 (tptp.mem2 @t110 @t109))) % 109.27/109.57 (assume @p73 (forall @t118 (=> @t117 @t116))) % 109.27/109.57 (assume @p74 @t120) % 109.27/109.57 (assume @p75 (forall @t127 (=> @t126 (=> @t125 (tptp.mem2 @t124 @t121))))) % 109.27/109.57 (assume @p76 (forall @t130 (tptp.mem2 @t106 @t129))) % 109.27/109.57 (assume @p77 (forall @t133 (=> @t132 (=> @t131 (tptp.mem2 @t124 @t129))))) % 109.27/109.57 (assume @p78 @t158) % 109.27/109.57 (assume @p79 (forall @t2 (tptp.sort1 @t160 @t159))) % 109.27/109.57 (assume @p80 (forall @t71 (tptp.sort1 @t160 (tptp.some @t1 @t55)))) % 109.27/109.57 (assume @p81 (forall @t59 (tptp.sort1 @t58 (tptp.match_option1 @t58 @t1 @t55 @t4 @t3)))) % 109.27/109.57 (assume @p82 (forall @t63 (=> @t61 (= (tptp.match_option1 @t58 @t1 @t159 @t6 @t7) @t6)))) % 109.27/109.57 (assume @p83 (forall (@list @t1 @t58 @t6 @t7 @t66) (=> @t68 (= (tptp.match_option1 @t58 @t1 @t161 @t6 @t7) @t7)))) % 109.27/109.57 (assume @p84 (forall (@list @t1 @t70) (not (= @t159 (tptp.some @t1 @t70))))) % 109.27/109.57 (assume @p85 (forall @t71 (tptp.sort1 @t1 (tptp.some_proj_11 @t1 @t55)))) % 109.27/109.57 (assume @p86 (forall @t74 (=> @t72 (= (tptp.some_proj_11 @t1 @t161) @t66)))) % 109.27/109.57 (assume @p87 (forall @t74 (=> (tptp.sort1 @t160 @t66) (or (= @t66 @t159) (= @t66 (tptp.some @t1 (tptp.some_proj_11 @t1 @t66))))))) % 109.27/109.57 (assume @p88 (forall (@list @t162) (= (tptp.state1 (tptp.mk_stream1 @t162)) @t162))) % 109.27/109.57 (assume @p89 (forall (@list @t163) (= @t163 (tptp.mk_stream1 (tptp.state1 @t163))))) % 109.27/109.57 (assume @p90 (not (tptp.mem2 @t106 @t166))) % 109.27/109.57 (assume @p91 (forall @t167 (tptp.mem2 @t115 @t165))) % 109.27/109.57 (assume @p92 (forall @t167 (= @t171 (exists (@list @t170) (= @t115 (tptp.tb2t (tptp.infix_plpl tptp.char (tptp.t2tb @t170) @t169))))))) % 109.27/109.57 (assume @p93 (forall @t167 (= @t171 (tptp.mem2 @t173 @t166)))) % 109.27/109.57 (assume @p94 (forall @t167 (= @t176 (tptp.mem2 @t174 @t166)))) % 109.27/109.57 (assume @p95 (forall @t167 (= @t171 (tptp.mem2 @t173 @t175)))) % 109.27/109.57 (assume @p96 (not @t177)) % 109.27/109.57 (assume @p97 true) % 109.27/109.57 (step @p98 :rule eq-symm :args (@t102 @t101)) % 109.27/109.57 (step @p99 :rule cong :premises (@p98) :args (@t104)) % 109.27/109.57 (step @p100 :rule eq_resolve :premises (@p67 @p99)) % 109.27/109.57 (step @p101 :rule instantiate :premises (@p100) :args ((@list @t105))) % 109.27/109.57 (step @p102 :rule bool-impl-elim :args (@t61 @t178)) % 109.27/109.57 (step @p103 :rule cong :premises (@p102) :args ((forall @t63 (=> @t61 @t178)))) % 109.27/109.57 (step @p104 :rule eq-symm :args (@t60 @t6)) % 109.27/109.57 (step @p105 :rule refl :args (@t61)) % 109.27/109.57 (step @p106 :rule cong :premises (@p105 @p104) :args (@t62)) % 109.27/109.57 (step @p107 :rule cong :premises (@p106) :args (@t64)) % 109.27/109.57 (step @p108 :rule trans :premises (@p107 @p103)) % 109.27/109.57 (step @p109 :rule eq_resolve :premises (@p45 @p108)) % 109.27/109.57 (step @p110 :rule instantiate :premises (@p109) :args ((@list tptp.char tptp.char @t168 @t168))) % 109.27/109.57 (step @p111 :rule instantiate :premises (@p69) :args ((@list tptp.one1))) % 109.27/109.57 (step @p112 :rule cnf_or_pos :args (@t183)) % 109.27/109.57 (step @p113 :rule reordering :premises (@p112) :args ((or @t182 @t180 (not @t183)))) % 109.27/109.57 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p110) :args (@t180 @t184 (@list @t181 @t183))) % 109.27/109.57 (step @p115 :rule refl :args (@t186)) % 109.27/109.57 (step @p116 :rule eq-symm :args (@t187 @t55)) % 109.27/109.57 (step @p117 :rule nary_cong :premises (@p116 @p115) :args (@t188)) % 109.27/109.57 (step @p118 :rule refl :args (@t189)) % 109.27/109.57 (step @p119 :rule cong :premises (@p118 @p117) :args (@t190)) % 109.27/109.57 (step @p120 :rule refl :args (@t191)) % 109.27/109.57 (step @p121 :rule nary_cong :premises (@p120 @p119) :args (@t192)) % 109.27/109.57 (step @p122 :rule refl :args (@t94)) % 109.27/109.57 (step @p123 :rule nary_cong :premises (@p122 @p121) :args (@t193)) % 109.27/109.57 (step @p124 :rule refl :args (@t194)) % 109.27/109.57 (step @p125 :rule nary_cong :premises (@p124 @p123) :args (@t195)) % 109.27/109.57 (step @p126 :rule cong :premises (@p125) :args (@t197)) % 109.27/109.57 (step @p127 :rule quant-merge-prenex :args ((= (forall @t71 @t199) @t197))) % 109.27/109.57 (step @p128 :rule alpha_equiv :args (@t200 (@list @t187 @t185) (@list @t4 @t3))) % 109.27/109.57 (step @p129 :rule quant-unused-vars :args ((= @t201 @t94))) % 109.27/109.57 (step @p130 :rule nary_cong :premises (@p129 @p128) :args (@t202)) % 109.27/109.57 (step @p131 :rule quant-miniscope-and :args ((= @t203 @t202))) % 109.27/109.57 (step @p132 :rule trans :premises (@p131 @p130)) % 109.27/109.57 (step @p133 :rule refl :args (@t194)) % 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109.27/109.57 (step @p404 :rule cong :premises (@p403) :args (@t327)) % 109.27/109.57 (step @p405 :rule refl :args (@t328)) % 109.27/109.57 (step @p406 :rule nary_cong :premises (@p405 @p404) :args (@t329)) % 109.27/109.57 (step @p407 :rule cong :premises (@p406) :args (@t330)) % 109.27/109.57 (step @p408 :rule cong :premises (@p407) :args (@t331)) % 109.27/109.57 (step @p409 :rule refl :args (@t332)) % 109.27/109.57 (step @p410 :rule nary_cong :premises (@p409 @p404) :args (@t333)) % 109.27/109.57 (step @p411 :rule cong :premises (@p410) :args (@t334)) % 109.27/109.57 (step @p412 :rule cong :premises (@p411) :args (@t335)) % 109.27/109.57 (step @p413 :rule eq-symm :args (@t109 tptp.epsilon1)) % 109.27/109.57 (step @p414 :rule cong :premises (@p413) :args (@t336)) % 109.27/109.57 (step @p415 :rule refl :args (@t337)) % 109.27/109.57 (step @p416 :rule nary_cong :premises (@p415 @p414) :args (@t338)) % 109.27/109.57 (step @p417 :rule cong :premises (@p416) :args (@t339)) % 109.27/109.57 (step @p418 :rule cong :premises (@p417) :args (@t340)) % 109.27/109.57 (step @p419 :rule aci_norm :args ((= (and @t239 true) @t239))) % 109.27/109.57 (step @p420 :rule eq-refl :args (tptp.epsilon1)) % 109.27/109.57 (step @p421 :rule nary_cong :premises (@p394 @p420) :args (@t341)) % 109.27/109.57 (step @p422 :rule trans :premises (@p421 @p419)) % 109.27/109.57 (step @p423 :rule refl :args (@t343)) % 109.27/109.57 (step @p424 :rule nary_cong :premises (@p423 @p422 @p418 @p412 @p408 @p402 @p395 @p391) :args (@t344)) % 109.27/109.57 (step @p425 :rule refl :args (@t345)) % 109.27/109.57 (step @p426 :rule cong :premises (@p425 @p424) :args ((=> @t345 @t344))) % 109.27/109.57 (assume-push @p892 @t345) % 109.27/109.57 (step @p428 :rule instantiate :premises (@p383) :args ((@list @t238 tptp.epsilon1))) % 109.27/109.57 (step-pop @p893 :rule scope :premises (@p428)) % 109.27/109.57 (step @p429 :rule process_scope :premises (@p893) :args (@t344)) % 109.27/109.57 (step @p431 :rule eq_resolve 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109.27/109.57 (step @p459 :rule implies_elim :premises (@p458)) % 109.27/109.57 (step @p460 :rule eq_resolve :premises (@p459 @p444)) % 109.27/109.57 (step @p461 :rule chain_m_resolution :premises (@p460 @p441) :args (@t347 @t218 (@list @t371))) % 109.27/109.57 (step @p462 :rule alpha_equiv :args (@t43 (@list @t37) (@list @t128))) % 109.27/109.57 (step @p463 :rule equiv_elim1 :premises (@p462)) % 109.27/109.57 (step @p464 :rule chain_m_resolution :premises (@p463 @p28) :args (@t349 @t218 (@list @t43))) % 109.27/109.57 (step @p465 :rule cnf_and_pos :args (@t351 1)) % 109.27/109.57 (step @p466 :rule reordering :premises (@p465) :args ((or @t350 @t377))) % 109.27/109.57 (step @p467 :rule chain_m_resolution :premises (@p466 @p464) :args (@t377 @t218 (@list @t349))) % 109.27/109.57 (step @p468 :rule instantiate :premises (@p27) :args ((@list @t379 @t378))) % 109.27/109.57 (step @p469 :rule bool-double-not-elim :args (@t380)) % 109.27/109.57 (step @p470 :rule refl :args (@t387)) % 109.27/109.57 (step @p471 :rule nary_cong :premises (@p470 @p469) :args ((or @t387 (not @t381)))) % 109.27/109.57 (step @p472 :rule cnf_or_neg :args (@t387 3)) % 109.27/109.57 (step @p473 :rule eq_resolve :premises (@p472 @p471)) % 109.27/109.57 (step @p474 :rule reordering :premises (@p473) :args ((or @t380 @t387))) % 109.27/109.57 (step @p475 :rule chain_m_resolution :premises (@p474 @p468) :args (@t387 @t372 (@list @t380))) % 109.27/109.57 (step @p476 :rule refl :args (@t388)) % 109.27/109.57 (step @p477 :rule bool-double-not-elim :args (@t352)) % 109.27/109.57 (step @p478 :rule nary_cong :premises (@p477 @p476) :args ((or (not @t353) @t388))) % 109.27/109.57 (step @p479 :rule refl :args (@t381)) % 109.27/109.57 (step @p480 :rule eq-symm :args (@t384 @t238)) % 109.27/109.57 (step @p481 :rule cong :premises (@p480) :args (@t389)) % 109.27/109.57 (step @p482 :rule refl :args (@t385)) % 109.27/109.57 (step @p483 :rule refl :args (@t386)) % 109.27/109.57 (step @p484 :rule nary_cong :premises (@p483 @p482 @p481 @p479) :args (@t390)) % 109.27/109.57 (step @p485 :rule cong :premises (@p484) :args (@t391)) % 109.27/109.57 (step @p486 :rule refl :args (@t353)) % 109.27/109.57 (step @p487 :rule cong :premises (@p486 @p485) :args ((=> @t353 @t391))) % 109.27/109.57 (assume-push @p896 @t353) % 109.27/109.57 (step @p489 :rule skolemize :premises (@p896)) % 109.27/109.57 (step-pop @p897 :rule scope :premises (@p489)) % 109.27/109.57 (step @p490 :rule process_scope :premises (@p897) :args (@t391)) % 109.27/109.57 (step @p492 :rule eq_resolve :premises (@p490 @p487)) % 109.27/109.57 (step @p493 :rule implies_elim :premises (@p492)) % 109.27/109.57 (step @p494 :rule eq_resolve :premises (@p493 @p478)) % 109.27/109.57 (step @p495 :rule chain_m_resolution :premises (@p494 @p475) :args (@t352 @t218 (@list @t387))) % 109.27/109.57 (step @p496 :rule instantiate :premises (@p26) :args ((@list @t393 @t392))) % 109.27/109.57 (step @p497 :rule bool-double-not-elim :args (@t394)) % 109.27/109.57 (step @p498 :rule refl :args (@t396)) % 109.27/109.57 (step @p499 :rule nary_cong :premises (@p498 @p497) :args ((or @t396 (not @t395)))) % 109.27/109.57 (step @p500 :rule cnf_or_neg :args (@t396 1)) % 109.27/109.57 (step @p501 :rule eq_resolve :premises (@p500 @p499)) % 109.27/109.57 (step @p502 :rule reordering :premises (@p501) :args ((or @t394 @t396))) % 109.27/109.57 (step @p503 :rule chain_m_resolution :premises (@p502 @p496) :args (@t396 @t372 (@list @t394))) % 109.27/109.57 (step @p504 :rule refl :args (@t397)) % 109.27/109.57 (step @p505 :rule bool-double-not-elim :args (@t355)) % 109.27/109.57 (step @p506 :rule nary_cong :premises (@p505 @p504) :args ((or (not @t356) @t397))) % 109.27/109.57 (assume-push @p898 @t356) % 109.27/109.57 (step @p508 :rule skolemize :premises (@p898)) % 109.27/109.57 (step-pop @p899 :rule scope :premises (@p508)) % 109.27/109.57 (step @p509 :rule process_scope :premises (@p899) :args (@t397)) % 109.27/109.57 (step @p511 :rule 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109.27/109.57 (step @p524 :rule nary_cong :premises (@p523 @p522) :args ((or (not @t358) @t403))) % 109.27/109.57 (assume-push @p900 @t358) % 109.27/109.57 (step @p526 :rule skolemize :premises (@p900)) % 109.27/109.57 (step-pop @p901 :rule scope :premises (@p526)) % 109.27/109.57 (step @p527 :rule process_scope :premises (@p901) :args (@t403)) % 109.27/109.57 (step @p529 :rule implies_elim :premises (@p527)) % 109.27/109.57 (step @p530 :rule eq_resolve :premises (@p529 @p524)) % 109.27/109.57 (step @p531 :rule chain_m_resolution :premises (@p530 @p521) :args (@t357 @t218 (@list @t402))) % 109.27/109.57 (step @p532 :rule instantiate :premises (@p25) :args ((@list @t404))) % 109.27/109.57 (step @p533 :rule bool-double-not-elim :args (@t405)) % 109.27/109.57 (step @p534 :rule refl :args (@t408)) % 109.27/109.57 (step @p535 :rule nary_cong :premises (@p534 @p533) :args ((or @t408 (not @t406)))) % 109.27/109.57 (step @p536 :rule cnf_or_neg :args (@t408 1)) % 109.27/109.57 (step @p537 :rule 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109.27/109.57 (step @p551 :rule skolemize :premises (@p902)) % 109.27/109.57 (step-pop @p903 :rule scope :premises (@p551)) % 109.27/109.57 (step @p552 :rule process_scope :premises (@p903) :args (@t412)) % 109.27/109.57 (step @p554 :rule eq_resolve :premises (@p552 @p549)) % 109.27/109.57 (step @p555 :rule implies_elim :premises (@p554)) % 109.27/109.57 (step @p556 :rule eq_resolve :premises (@p555 @p542)) % 109.27/109.57 (step @p557 :rule chain_m_resolution :premises (@p556 @p539) :args (@t359 @t218 (@list @t408))) % 109.27/109.57 (step @p558 :rule cnf_or_pos :args (@t361)) % 109.27/109.57 (step @p559 :rule reordering :premises (@p558) :args ((or @t239 @t343 @t360 @t358 @t356 @t353 @t351 @t348 (not @t361)))) % 109.27/109.57 (step @p560 :rule skolemize :premises (@p96)) % 109.27/109.57 (step @p561 :rule cnf_equiv_neg2 :args (@t415)) % 109.27/109.57 (step @p562 :rule instantiate :premises (@p94) :args ((@list @t220))) % 109.27/109.57 (step @p563 :rule cnf_equiv_pos1 :args (@t417)) % 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:premises (@p793)) % 109.27/109.57 (step-pop @p940 :rule scope :premises (@p939)) % 109.27/109.57 (step-pop @p941 :rule scope :premises (@p940)) % 109.27/109.57 (step-pop @p942 :rule scope :premises (@p941)) % 109.27/109.57 (step-pop @p943 :rule scope :premises (@p942)) % 109.27/109.57 (step @p794 :rule process_scope :premises (@p943) :args (false)) % 109.27/109.57 (assume-push @p944 @t511) % 109.27/109.57 (assume-push @p945 @t343) % 109.27/109.57 (assume-push @p946 @t501) % 109.27/109.57 (assume-push @p947 @t504) % 109.27/109.57 (assume-push @p948 @t509) % 109.27/109.57 (step @p805 :rule and_intro :premises (@p945 @p771 @p947 @p772 @p946)) % 109.27/109.57 (step-pop @p949 :rule scope :premises (@p805)) % 109.27/109.57 (step-pop @p950 :rule scope :premises (@p949)) % 109.27/109.57 (step-pop @p951 :rule scope :premises (@p950)) % 109.27/109.57 (step-pop @p952 :rule scope :premises (@p951)) % 109.27/109.57 (step-pop @p953 :rule scope :premises (@p952)) % 109.27/109.57 (step @p806 :rule process_scope :premises (@p953) :args (@t513)) % 109.27/109.57 (step @p812 :rule implies_elim :premises (@p806)) % 109.27/109.57 (step @p813 :rule resolution :premises (@p812 @p794) :args (true @t513)) % 109.27/109.57 (step @p814 :rule not_and :premises (@p813)) % 109.27/109.57 (step @p815 :rule eq_resolve :premises (@p814 @p778)) % 109.27/109.57 (step @p816 :rule chain_m_resolution :premises (@p815 @p772 @p771 @p767 @p762) :args ((or @t342 @t507) (@list false false false false) (@list @t509 @t511 @t504 @t501))) % 109.27/109.57 (step @p817 :rule refl :args (@t514)) % 109.27/109.57 (step @p818 :rule bool-double-not-elim :args (@t496)) % 109.27/109.57 (step @p819 :rule nary_cong :premises (@p818 @p817) :args ((or (not @t497) @t514))) % 109.27/109.57 (step @p820 :rule eq-symm :args (@t503 @t175)) % 109.27/109.57 (step @p821 :rule cong :premises (@p820) :args (@t515)) % 109.27/109.57 (step @p822 :rule nary_cong :premises (@p775 @p821) :args (@t516)) % 109.27/109.57 (step @p823 :rule cong :premises (@p822) :args (@t517)) % 109.27/109.57 (step @p824 :rule refl :args (@t497)) % 109.27/109.57 (step @p825 :rule cong :premises (@p824 @p823) :args ((=> @t497 @t517))) % 109.27/109.57 (assume-push @p954 @t497) % 109.27/109.57 (step @p827 :rule skolemize :premises (@p954)) % 109.27/109.57 (step-pop @p955 :rule scope :premises (@p827)) % 109.27/109.57 (step @p828 :rule process_scope :premises (@p955) :args (@t517)) % 109.27/109.57 (step @p830 :rule eq_resolve :premises (@p828 @p825)) % 109.27/109.57 (step @p831 :rule implies_elim :premises (@p830)) % 109.27/109.57 (step @p832 :rule eq_resolve :premises (@p831 @p819)) % 109.27/109.57 (step @p833 :rule chain_m_resolution :premises (@p832 @p816 @p756 @p754 @p750 @p715 @p633 @p604 @p575 @p574 @p559 @p557 @p531 @p513 @p495 @p467 @p461 @p433 @p224) :args (@t239 (@list false true true false false false false false false true false false false false true false false true) (@list @t507 @t496 @t494 @t480 @t458 @t439 @t422 @t499 @t413 @t342 @t359 @t357 @t355 @t352 @t351 @t347 @t361 @t240))) % 109.27/109.57 (step @p834 :rule refl :args (@t518)) % 109.27/109.57 (step @p835 :rule refl :args (@t519)) % 109.27/109.57 (step @p836 :rule refl :args (@t522)) % 109.27/109.57 (step @p837 :rule refl :args (@t524)) % 109.27/109.57 (step @p838 :rule bool-double-not-elim :args (@t208)) % 109.27/109.57 (step @p839 :rule refl :args (@t525)) % 109.27/109.57 (step @p840 :rule nary_cong :premises (@p839 @p838 @p837 @p836 @p835 @p834) :args ((or @t525 (not @t212) @t524 @t522 @t519 @t518))) % 109.27/109.57 (assume-push @p956 @t212) % 109.27/109.57 (assume-push @p957 @t180) % 109.27/109.57 (assume-push @p958 @t523) % 109.27/109.57 (assume-push @p959 @t239) % 109.27/109.57 (assume-push @p960 @t521) % 109.27/109.57 (assume-push @p961 @t224) % 109.27/109.57 (step @p664 :rule evaluate :args (@t473)) % 109.27/109.57 (step @p847 :rule false_intro :premises (@p189)) % 109.27/109.57 (step @p848 :rule symm :premises (@p101)) % 109.27/109.57 (step @p849 :rule symm :premises (@p959)) % 109.27/109.57 (step @p850 :rule cong :premises (@p849) :args (@t520)) % 109.27/109.57 (step @p851 :rule refl :args (@t221)) % 109.27/109.57 (step @p852 :rule symm :premises (@p114)) % 109.27/109.57 (step @p853 :rule refl :args (tptp.char)) % 109.27/109.57 (step @p854 :rule cong :premises (@p853 @p852 @p851) :args (@t223)) % 109.27/109.57 (step @p855 :rule trans :premises (@p854 @p190 @p850 @p848)) % 109.27/109.57 (step @p856 :rule cong :premises (@p853 @p852 @p855) :args (@t224)) % 109.27/109.57 (step @p857 :rule true_intro :premises (@p222)) % 109.27/109.57 (step @p858 :rule symm :premises (@p857)) % 109.27/109.57 (step @p859 :rule trans :premises (@p858 @p856 @p847)) % 109.27/109.57 (step @p860 false :rule eq_resolve :premises (@p859 @p664)) % 109.27/109.57 (step-pop @p962 :rule scope :premises (@p860)) % 109.27/109.57 (step-pop @p963 :rule scope :premises (@p962)) % 109.27/109.57 (step-pop @p964 :rule scope :premises (@p963)) % 109.27/109.57 (step-pop @p965 :rule scope :premises (@p964)) % 109.27/109.57 (step-pop @p966 :rule scope :premises (@p965)) % 109.27/109.57 (step-pop @p967 :rule scope :premises (@p966)) % 109.27/109.57 (step @p861 :rule process_scope :premises (@p967) :args (false)) % 109.27/109.57 (assume-push @p968 @t180) % 109.27/109.57 (assume-push @p969 @t212) % 109.27/109.57 (assume-push @p970 @t523) % 109.27/109.57 (assume-push @p971 @t521) % 109.27/109.57 (assume-push @p972 @t239) % 109.27/109.57 (assume-push @p973 @t224) % 109.27/109.57 (step @p874 :rule and_intro :premises (@p189 @p114 @p101 @p972 @p190 @p222)) % 109.27/109.57 (step-pop @p974 :rule scope :premises (@p874)) % 109.27/109.57 (step-pop @p975 :rule scope :premises (@p974)) % 109.27/109.57 (step-pop @p976 :rule scope :premises (@p975)) % 109.27/109.57 (step-pop @p977 :rule scope :premises (@p976)) % 109.27/109.57 (step-pop @p978 :rule scope :premises (@p977)) % 109.27/109.57 (step-pop @p979 :rule scope :premises (@p978)) % 109.27/109.57 (step @p875 :rule process_scope :premises (@p979) :args (@t526)) % 109.27/109.57 (step @p882 :rule implies_elim :premises (@p875)) % 109.27/109.57 (step @p883 :rule resolution :premises (@p882 @p861) :args (true @t526)) % 109.27/109.57 (step @p884 :rule not_and :premises (@p883)) % 109.27/109.57 (step @p885 :rule eq_resolve :premises (@p884 @p840)) % 109.27/109.57 (step @p886 :rule reordering :premises (@p885) :args ((or @t208 @t525 @t524 @t522 @t519 @t518))) % 109.27/109.57 (step @p887 false :rule chain_m_resolution :premises (@p886 @p833 @p222 @p190 @p189 @p114 @p101) :args (false (@list false false false true false false) (@list @t239 @t224 @t521 @t208 @t180 @t523))) % 109.27/109.57 ) % 109.27/109.57 % SZS output end Proof % 109.27/109.57 % cvc5 exiting %------------------------------------------------------------------------------