%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW638_2 : TPTP v9.2.1. Released v6.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.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 09:05:23 AM UTC 2026 % Result : Theorem 151.46s 151.91s % Output : Proof 151.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW638_2 : TPTP v9.2.1. Released v6.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n014.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 22:20:58 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_ARI % 151.46/151.91 --- Run --finite-model-find --decision=internal at 45... % 151.46/151.91 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 151.46/151.91 --- Run --no-e-matching --full-saturate-quant at 45... % 151.46/151.91 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 45... % 151.46/151.91 % SZS status Theorem % 151.46/151.91 % SZS output start Proof % 151.46/151.91 ( % 151.46/151.91 (declare-sort tptp.list_char 0) % 151.46/151.91 (declare-sort tptp.char2 0) % 151.46/151.91 (declare-sort tptp.tuple02 0) % 151.46/151.91 (declare-sort tptp.bool1 0) % 151.46/151.91 (declare-sort tptp.ty 0) % 151.46/151.91 (declare-sort tptp.regexp1 0) % 151.46/151.91 (declare-sort tptp.uni 0) % 151.46/151.91 (declare-const tptp.tb2t1 (-> tptp.uni tptp.char2)) % 151.46/151.91 (declare-const tptp.mem2 (-> tptp.list_char tptp.regexp1 Bool)) % 151.46/151.91 (declare-const tptp.tb2t (-> tptp.uni tptp.list_char)) % 151.46/151.91 (declare-const tptp.char1 tptp.ty) % 151.46/151.91 (declare-const tptp.concat1 (-> tptp.regexp1 tptp.regexp1 tptp.regexp1)) % 151.46/151.91 (declare-const tptp.char_proj_11 (-> tptp.regexp1 tptp.char2)) % 151.46/151.91 (declare-const tptp.empty1 tptp.regexp1) % 151.46/151.91 (declare-const tptp.t2tb1 (-> tptp.char2 tptp.uni)) % 151.46/151.91 (declare-const tptp.false1 tptp.bool1) % 151.46/151.91 (declare-const tptp.match_regexp1 (-> tptp.ty tptp.regexp1 tptp.uni tptp.uni tptp.uni tptp.uni tptp.uni tptp.uni tptp.uni)) % 151.46/151.91 (declare-const tptp.mem (-> tptp.ty tptp.uni tptp.uni Bool)) % 151.46/151.91 (declare-const tptp.star1 (-> tptp.regexp1 tptp.regexp1)) % 151.46/151.91 (declare-const tptp.sort1 (-> tptp.ty tptp.uni Bool)) % 151.46/151.91 (declare-const tptp.alt1 (-> tptp.regexp1 tptp.regexp1 tptp.regexp1)) % 151.46/151.91 (declare-const tptp.match_list (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 151.46/151.91 (declare-const tptp.cons_proj_1 (-> tptp.ty tptp.uni tptp.uni)) % 151.46/151.91 (declare-const tptp.true1 tptp.bool1) % 151.46/151.91 (declare-const tptp.infix_plpl (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 151.46/151.91 (declare-const tptp.epsilon1 tptp.regexp1) % 151.46/151.91 (declare-const tptp.cons (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 151.46/151.91 (declare-const tptp.char3 (-> tptp.char2 tptp.regexp1)) % 151.46/151.91 (declare-const tptp.tuple03 tptp.tuple02) % 151.46/151.91 (declare-const tptp.cons_proj_2 (-> tptp.ty tptp.uni tptp.uni)) % 151.46/151.91 (declare-const tptp.witness1 (-> tptp.ty tptp.uni)) % 151.46/151.91 (declare-const tptp.length1 (-> tptp.ty tptp.uni Int)) % 151.46/151.91 (declare-const tptp.alt_proj_11 (-> tptp.regexp1 tptp.regexp1)) % 151.46/151.91 (declare-const tptp.alt_proj_21 (-> tptp.regexp1 tptp.regexp1)) % 151.46/151.91 (declare-const tptp.match_bool1 (-> tptp.ty tptp.bool1 tptp.uni tptp.uni tptp.uni)) % 151.46/151.91 (declare-const tptp.concat_proj_11 (-> tptp.regexp1 tptp.regexp1)) % 151.46/151.91 (declare-const tptp.concat_proj_21 (-> tptp.regexp1 tptp.regexp1)) % 151.46/151.91 (declare-const tptp.nil (-> tptp.ty tptp.uni)) % 151.46/151.91 (declare-const tptp.star_proj_11 (-> tptp.regexp1 tptp.regexp1)) % 151.46/151.91 (declare-const tptp.list (-> tptp.ty tptp.ty)) % 151.46/151.91 (declare-const tptp.t2tb (-> tptp.list_char tptp.uni)) % 151.46/151.91 (define @t1 () (@var "A" tptp.ty)) % 151.46/151.91 (define @t2 () (@list @t1)) % 151.46/151.91 (define @t3 () (@var "X2" tptp.uni)) % 151.46/151.91 (define @t4 () (@var "X1" tptp.uni)) % 151.46/151.91 (define @t5 () (@var "X" tptp.bool1)) % 151.46/151.91 (define @t6 () (@var "Z" tptp.uni)) % 151.46/151.91 (define @t7 () (@var "Z1" tptp.uni)) % 151.46/151.91 (define @t8 () (tptp.sort1 @t1 @t6)) % 151.46/151.91 (define @t9 () (@list @t1 @t6 @t7)) % 151.46/151.91 (define @t10 () (tptp.sort1 @t1 @t7)) % 151.46/151.91 (define @t11 () (@var "U" tptp.bool1)) % 151.46/151.91 (define @t12 () (@var "U" tptp.tuple02)) % 151.46/151.91 (define @t13 () (@var "X6" tptp.uni)) % 151.46/151.91 (define @t14 () (@var "X5" tptp.uni)) % 151.46/151.91 (define @t15 () (@var "X4" tptp.uni)) % 151.46/151.91 (define @t16 () (@var "X3" tptp.uni)) % 151.46/151.91 (define @t17 () (@var "X" tptp.regexp1)) % 151.46/151.91 (define @t18 () (@var "Z5" tptp.uni)) % 151.46/151.91 (define @t19 () (@var "Z4" tptp.uni)) % 151.46/151.91 (define @t20 () (@var "Z3" tptp.uni)) % 151.46/151.91 (define @t21 () (@var "Z2" tptp.uni)) % 151.46/151.91 (define @t22 () (@list @t1 @t6 @t7 @t21 @t20 @t19 @t18)) % 151.46/151.91 (define @t23 () (@var "U" tptp.char2)) % 151.46/151.91 (define @t24 () (tptp.char3 @t23)) % 151.46/151.91 (define @t25 () (@var "U1" tptp.regexp1)) % 151.46/151.91 (define @t26 () (@var "U" tptp.regexp1)) % 151.46/151.91 (define @t27 () (tptp.alt1 @t26 @t25)) % 151.46/151.91 (define @t28 () (@list @t1 @t6 @t7 @t21 @t20 @t19 @t18 @t26 @t25)) % 151.46/151.91 (define @t29 () (tptp.concat1 @t26 @t25)) % 151.46/151.91 (define @t30 () (tptp.star1 @t26)) % 151.46/151.91 (define @t31 () (@var "V" tptp.char2)) % 151.46/151.91 (define @t32 () (tptp.char3 @t31)) % 151.46/151.91 (define @t33 () (@list @t31)) % 151.46/151.91 (define @t34 () (@var "V1" tptp.regexp1)) % 151.46/151.91 (define @t35 () (@var "V" tptp.regexp1)) % 151.46/151.91 (define @t36 () (tptp.alt1 @t35 @t34)) % 151.46/151.91 (define @t37 () (@list @t35 @t34)) % 151.46/151.91 (define @t38 () (tptp.concat1 @t35 @t34)) % 151.46/151.91 (define @t39 () (tptp.star1 @t35)) % 151.46/151.91 (define @t40 () (@list @t35)) % 151.46/151.91 (define @t41 () (@list @t23 @t35 @t34)) % 151.46/151.91 (define @t42 () (forall @t41 (not (= @t24 @t38)))) % 151.46/151.91 (define @t43 () (forall (@list @t26 @t25 @t35 @t34) (not (= @t27 @t38)))) % 151.46/151.91 (define @t44 () (@list @t26 @t25 @t35)) % 151.46/151.91 (define @t45 () (@list @t26 @t25)) % 151.46/151.91 (define @t46 () (tptp.concat_proj_21 @t29)) % 151.46/151.91 (define @t47 () (forall @t45 (= @t46 @t25))) % 151.46/151.91 (define @t48 () (@list @t26)) % 151.46/151.91 (define @t49 () (tptp.nil @t1)) % 151.46/151.91 (define @t50 () (tptp.list @t1)) % 151.46/151.91 (define @t51 () (@var "X" tptp.uni)) % 151.46/151.91 (define @t52 () (tptp.cons @t1 @t51 @t4)) % 151.46/151.91 (define @t53 () (@list @t1 @t51 @t4)) % 151.46/151.91 (define @t54 () (@var "A1" tptp.ty)) % 151.46/151.91 (define @t55 () (@var "U1" tptp.uni)) % 151.46/151.91 (define @t56 () (@var "U" tptp.uni)) % 151.46/151.91 (define @t57 () (tptp.cons @t1 @t56 @t55)) % 151.46/151.91 (define @t58 () (@var "V1" tptp.uni)) % 151.46/151.91 (define @t59 () (@var "V" tptp.uni)) % 151.46/151.91 (define @t60 () (@list @t1 @t51)) % 151.46/151.91 (define @t61 () (@list @t1 @t56 @t55)) % 151.46/151.91 (define @t62 () (@var "L2" tptp.uni)) % 151.46/151.91 (define @t63 () (@list @t51 @t4)) % 151.46/151.91 (define @t64 () (forall @t63 (= (tptp.infix_plpl @t1 @t52 @t62) (tptp.cons @t1 @t51 (tptp.infix_plpl @t1 @t4 @t62))))) % 151.46/151.91 (define @t65 () (tptp.infix_plpl @t1 @t49 @t62)) % 151.46/151.91 (define @t66 () (and (= @t65 @t62) @t64)) % 151.46/151.91 (define @t67 () (@list @t1 @t62)) % 151.46/151.91 (define @t68 () (forall @t67 @t66)) % 151.46/151.91 (define @t69 () (@var "L3" tptp.uni)) % 151.46/151.91 (define @t70 () (@var "L1" tptp.uni)) % 151.46/151.91 (define @t71 () (tptp.infix_plpl @t1 @t70 @t62)) % 151.46/151.91 (define @t72 () (@var "L" tptp.uni)) % 151.46/151.91 (define @t73 () (tptp.infix_plpl @t1 @t72 @t49)) % 151.46/151.91 (define @t74 () (@list @t1 @t72)) % 151.46/151.91 (define @t75 () (forall @t74 (= @t73 @t72))) % 151.46/151.91 (define @t76 () (@var "Z" Int)) % 151.46/151.91 (define @t77 () (@var "Y" Int)) % 151.46/151.91 (define @t78 () (@var "X" Int)) % 151.46/151.91 (define @t79 () (forall @t63 (= (tptp.length1 @t1 @t52) (+ 1 (tptp.length1 @t1 @t4))))) % 151.46/151.91 (define @t80 () (= (tptp.length1 @t1 @t49) 0)) % 151.46/151.91 (define @t81 () (forall @t2 (and @t80 @t79))) % 151.46/151.91 (define @t82 () (tptp.length1 @t1 @t72)) % 151.46/151.91 (define @t83 () (forall @t74 (<= 0 @t82))) % 151.46/151.91 (define @t84 () (= @t82 0)) % 151.46/151.91 (define @t85 () (= @t84 (= @t72 @t49))) % 151.46/151.91 (define @t86 () (forall @t74 @t85)) % 151.46/151.91 (define @t87 () (@var "X" tptp.list_char)) % 151.46/151.91 (define @t88 () (@var "I" tptp.list_char)) % 151.46/151.91 (define @t89 () (tptp.tb2t (tptp.t2tb @t88))) % 151.46/151.91 (define @t90 () (forall (@list @t88) (= @t89 @t88))) % 151.46/151.91 (define @t91 () (@var "J" tptp.uni)) % 151.46/151.91 (define @t92 () (tptp.t2tb (tptp.tb2t @t91))) % 151.46/151.91 (define @t93 () (@list @t91)) % 151.46/151.91 (define @t94 () (forall @t93 (= @t92 @t91))) % 151.46/151.91 (define @t95 () (tptp.nil tptp.char1)) % 151.46/151.91 (define @t96 () (tptp.tb2t @t95)) % 151.46/151.91 (define @t97 () (@var "X" tptp.char2)) % 151.46/151.91 (define @t98 () (@var "I" tptp.char2)) % 151.46/151.91 (define @t99 () (@var "C" tptp.char2)) % 151.46/151.91 (define @t100 () (tptp.char3 @t99)) % 151.46/151.91 (define @t101 () (tptp.tb2t (tptp.cons tptp.char1 (tptp.t2tb1 @t99) @t95))) % 151.46/151.91 (define @t102 () (@list @t99)) % 151.46/151.91 (define @t103 () (@var "R2" tptp.regexp1)) % 151.46/151.91 (define @t104 () (@var "R1" tptp.regexp1)) % 151.46/151.91 (define @t105 () (tptp.alt1 @t104 @t103)) % 151.46/151.91 (define @t106 () (@var "W" tptp.list_char)) % 151.46/151.91 (define @t107 () (tptp.mem2 @t106 @t105)) % 151.46/151.91 (define @t108 () (tptp.mem2 @t106 @t104)) % 151.46/151.91 (define @t109 () (@list @t106 @t104 @t103)) % 151.46/151.91 (define @t110 () (tptp.mem2 @t106 @t103)) % 151.46/151.91 (define @t111 () (tptp.concat1 @t104 @t103)) % 151.46/151.91 (define @t112 () (@var "W2" tptp.list_char)) % 151.46/151.91 (define @t113 () (@var "W1" tptp.list_char)) % 151.46/151.91 (define @t114 () (tptp.tb2t (tptp.infix_plpl tptp.char1 (tptp.t2tb @t113) (tptp.t2tb @t112)))) % 151.46/151.91 (define @t115 () (tptp.mem2 @t112 @t103)) % 151.46/151.91 (define @t116 () (tptp.mem2 @t113 @t104)) % 151.46/151.91 (define @t117 () (@list @t113 @t112 @t104 @t103)) % 151.46/151.91 (define @t118 () (@var "R" tptp.regexp1)) % 151.46/151.91 (define @t119 () (tptp.star1 @t118)) % 151.46/151.91 (define @t120 () (@list @t118)) % 151.46/151.91 (define @t121 () (tptp.mem2 @t112 @t119)) % 151.46/151.91 (define @t122 () (tptp.mem2 @t113 @t118)) % 151.46/151.91 (define @t123 () (@list @t113 @t112 @t118)) % 151.46/151.91 (define @t124 () (@var "Z1" tptp.regexp1)) % 151.46/151.91 (define @t125 () (= @t124 @t119)) % 151.46/151.91 (define @t126 () (@var "Z" tptp.list_char)) % 151.46/151.91 (define @t127 () (= @t126 @t114)) % 151.46/151.91 (define @t128 () (and @t122 @t121 @t127 @t125)) % 151.46/151.91 (define @t129 () (exists @t123 @t128)) % 151.46/151.91 (define @t130 () (= @t126 @t96)) % 151.46/151.91 (define @t131 () (and @t130 @t125)) % 151.46/151.91 (define @t132 () (exists @t120 @t131)) % 151.46/151.91 (define @t133 () (and @t116 @t115 @t127 (= @t124 @t111))) % 151.46/151.91 (define @t134 () (exists @t117 @t133)) % 151.46/151.91 (define @t135 () (= @t124 @t105)) % 151.46/151.91 (define @t136 () (= @t126 @t106)) % 151.46/151.91 (define @t137 () (and @t110 @t136 @t135)) % 151.46/151.91 (define @t138 () (exists @t109 @t137)) % 151.46/151.91 (define @t139 () (and @t108 @t136 @t135)) % 151.46/151.91 (define @t140 () (exists @t109 @t139)) % 151.46/151.91 (define @t141 () (and (= @t126 @t101) (= @t124 @t100))) % 151.46/151.91 (define @t142 () (exists @t102 @t141)) % 151.46/151.91 (define @t143 () (and @t130 (= @t124 tptp.epsilon1))) % 151.46/151.91 (define @t144 () (or @t143 @t142 @t140 @t138 @t134 @t132 @t129)) % 151.46/151.91 (define @t145 () (tptp.mem2 @t126 @t124)) % 151.46/151.91 (define @t146 () (=> @t145 @t144)) % 151.46/151.91 (define @t147 () (@list @t126 @t124)) % 151.46/151.91 (define @t148 () (forall @t147 @t146)) % 151.46/151.91 (define @t149 () (@var "Result1" tptp.bool1)) % 151.46/151.91 (define @t150 () (= @t149 tptp.true1)) % 151.46/151.91 (define @t151 () (@var "X1" tptp.regexp1)) % 151.46/151.91 (define @t152 () (tptp.mem2 @t96 (tptp.concat1 @t17 @t151))) % 151.46/151.91 (define @t153 () (=> @t152 @t150)) % 151.46/151.91 (define @t154 () (tptp.mem2 @t96 @t151)) % 151.46/151.91 (define @t155 () (= @t150 @t154)) % 151.46/151.91 (define @t156 () (=> @t155 @t153)) % 151.46/151.91 (define @t157 () (@list @t149)) % 151.46/151.91 (define @t158 () (forall @t157 @t156)) % 151.46/151.91 (define @t159 () (@var "Result" tptp.bool1)) % 151.46/151.91 (define @t160 () (= @t159 tptp.true1)) % 151.46/151.91 (define @t161 () (=> @t160 @t158)) % 151.46/151.91 (define @t162 () (tptp.mem2 @t96 @t17)) % 151.46/151.91 (define @t163 () (= @t160 @t162)) % 151.46/151.91 (define @t164 () (=> @t163 @t161)) % 151.46/151.91 (define @t165 () (@list @t17 @t151 @t159)) % 151.46/151.91 (define @t166 () (forall @t165 @t164)) % 151.46/151.91 (define @t167 () (not @t166)) % 151.46/151.91 (define @t168 () (@var "BOUND_VARIABLE_8127" tptp.ty)) % 151.46/151.91 (define @t169 () (= (tptp.length1 @t168 (tptp.cons @t168 @t51 @t4)) (+ 1 (tptp.length1 @t168 @t4)))) % 151.46/151.91 (define @t170 () (forall (@list @t168) (forall @t63 @t169))) % 151.46/151.91 (define @t171 () (@var "BOUND_VARIABLE_8120" tptp.ty)) % 151.46/151.91 (define @t172 () (forall (@list @t171) (= (tptp.length1 @t171 (tptp.nil @t171)) 0))) % 151.46/151.91 (define @t173 () (forall @t2 @t79)) % 151.46/151.91 (define @t174 () (@list @t1)) % 151.46/151.91 (define @t175 () (forall @t2 @t80)) % 151.46/151.91 (define @t176 () (and @t175 @t173)) % 151.46/151.91 (define @t177 () (@list tptp.char1)) % 151.46/151.91 (define @t178 () (@var "BOUND_VARIABLE_8369" tptp.bool1)) % 151.46/151.91 (define @t179 () (= tptp.true1 @t178)) % 151.46/151.91 (define @t180 () (not @t154)) % 151.46/151.91 (define @t181 () (= @t180 @t179)) % 151.46/151.91 (define @t182 () (not @t152)) % 151.46/151.91 (define @t183 () (not @t162)) % 151.46/151.91 (define @t184 () (or @t183 @t182 @t181 @t179)) % 151.46/151.91 (define @t185 () (@list @t17 @t151 @t178)) % 151.46/151.91 (define @t186 () (forall @t185 @t184)) % 151.46/151.91 (define @t187 () (@quantifiers_skolemize @t186 1)) % 151.46/151.91 (define @t188 () (@quantifiers_skolemize @t186 0)) % 151.46/151.91 (define @t189 () (tptp.concat1 @t188 @t187)) % 151.46/151.91 (define @t190 () (not (= @t111 @t189))) % 151.46/151.91 (define @t191 () (not (= @t96 @t114))) % 151.46/151.91 (define @t192 () (not @t115)) % 151.46/151.91 (define @t193 () (not @t116)) % 151.46/151.91 (define @t194 () (forall @t117 (or @t193 @t192 @t191 @t190))) % 151.46/151.91 (define @t195 () (@quantifiers_skolemize @t194 1)) % 151.46/151.91 (define @t196 () (tptp.t2tb @t195)) % 151.46/151.91 (define @t197 () (@quantifiers_skolemize @t194 0)) % 151.46/151.91 (define @t198 () (tptp.t2tb @t197)) % 151.46/151.91 (define @t199 () (tptp.infix_plpl tptp.char1 @t198 @t196)) % 151.46/151.91 (define @t200 () (= @t119 @t124)) % 151.46/151.91 (define @t201 () (not @t200)) % 151.46/151.91 (define @t202 () (= @t114 @t126)) % 151.46/151.91 (define @t203 () (not @t202)) % 151.46/151.91 (define @t204 () (not @t121)) % 151.46/151.91 (define @t205 () (not @t122)) % 151.46/151.91 (define @t206 () (or @t205 @t204 @t203 @t201)) % 151.46/151.91 (define @t207 () (not (forall @t123 @t206))) % 151.46/151.91 (define @t208 () (forall @t120 @t201)) % 151.46/151.91 (define @t209 () (not @t208)) % 151.46/151.91 (define @t210 () (= @t96 @t126)) % 151.46/151.91 (define @t211 () (and @t210 @t209)) % 151.46/151.91 (define @t212 () (= @t111 @t124)) % 151.46/151.91 (define @t213 () (not @t212)) % 151.46/151.91 (define @t214 () (or @t193 @t192 @t203 @t213)) % 151.46/151.91 (define @t215 () (not (forall @t117 @t214))) % 151.46/151.91 (define @t216 () (= @t105 @t124)) % 151.46/151.91 (define @t217 () (not @t216)) % 151.46/151.91 (define @t218 () (not (tptp.mem2 @t126 @t103))) % 151.46/151.91 (define @t219 () (or @t218 @t217)) % 151.46/151.91 (define @t220 () (@list @t104 @t103)) % 151.46/151.91 (define @t221 () (not (forall @t220 @t219))) % 151.46/151.91 (define @t222 () (not (tptp.mem2 @t126 @t104))) % 151.46/151.91 (define @t223 () (or @t222 @t217)) % 151.46/151.91 (define @t224 () (not (forall @t220 @t223))) % 151.46/151.91 (define @t225 () (= @t100 @t124)) % 151.46/151.91 (define @t226 () (= @t101 @t126)) % 151.46/151.91 (define @t227 () (not (forall @t102 (or (not @t226) (not @t225))))) % 151.46/151.91 (define @t228 () (and @t210 (= tptp.epsilon1 @t124))) % 151.46/151.91 (define @t229 () (not @t145)) % 151.46/151.91 (define @t230 () (or @t229 @t228 @t227 @t224 @t221 @t215 @t211 @t207)) % 151.46/151.91 (define @t231 () (not @t210)) % 151.46/151.91 (define @t232 () (or @t231 @t208)) % 151.46/151.91 (define @t233 () (or @t228 @t227 @t224 @t221 @t215 (not @t232) @t207)) % 151.46/151.91 (define @t234 () (and @t122 @t121 @t202 @t200)) % 151.46/151.91 (define @t235 () (forall @t123 (not @t234))) % 151.46/151.91 (define @t236 () (not @t235)) % 151.46/151.91 (define @t237 () (and @t210 @t200)) % 151.46/151.91 (define @t238 () (forall @t120 (not @t237))) % 151.46/151.91 (define @t239 () (not @t238)) % 151.46/151.91 (define @t240 () (and @t116 @t115 @t202 @t212)) % 151.46/151.91 (define @t241 () (forall @t117 (not @t240))) % 151.46/151.91 (define @t242 () (not @t241)) % 151.46/151.91 (define @t243 () (not (= @t126 @t126))) % 151.46/151.91 (define @t244 () (or @t218 @t243 @t217)) % 151.46/151.91 (define @t245 () (= @t106 @t126)) % 151.46/151.91 (define @t246 () (not @t245)) % 151.46/151.91 (define @t247 () (not @t110)) % 151.46/151.91 (define @t248 () (or @t246 @t247 @t246 @t217)) % 151.46/151.91 (define @t249 () (@list @t106)) % 151.46/151.91 (define @t250 () (or @t247 @t246 @t217)) % 151.46/151.91 (define @t251 () (forall @t249 @t250)) % 151.46/151.91 (define @t252 () (forall @t220 @t251)) % 151.46/151.91 (define @t253 () (@list @t104 @t103 @t106)) % 151.46/151.91 (define @t254 () (forall @t253 @t250)) % 151.46/151.91 (define @t255 () (or @t246 @t217)) % 151.46/151.91 (define @t256 () (not (and @t245 @t216))) % 151.46/151.91 (define @t257 () (and @t110 @t245 @t216)) % 151.46/151.91 (define @t258 () (forall @t109 (not @t257))) % 151.46/151.91 (define @t259 () (not @t258)) % 151.46/151.91 (define @t260 () (or @t222 @t243 @t217)) % 151.46/151.91 (define @t261 () (not @t108)) % 151.46/151.91 (define @t262 () (or @t246 @t261 @t246 @t217)) % 151.46/151.91 (define @t263 () (or @t261 @t246 @t217)) % 151.46/151.91 (define @t264 () (forall @t249 @t263)) % 151.46/151.91 (define @t265 () (forall @t220 @t264)) % 151.46/151.91 (define @t266 () (forall @t253 @t263)) % 151.46/151.91 (define @t267 () (and @t108 @t245 @t216)) % 151.46/151.91 (define @t268 () (forall @t109 (not @t267))) % 151.46/151.91 (define @t269 () (not @t268)) % 151.46/151.91 (define @t270 () (and @t226 @t225)) % 151.46/151.91 (define @t271 () (forall @t102 (not @t270))) % 151.46/151.91 (define @t272 () (not @t271)) % 151.46/151.91 (define @t273 () (not (= @t119 @t189))) % 151.46/151.91 (define @t274 () (not (= @t114 @t96))) % 151.46/151.91 (define @t275 () (or @t205 @t204 @t274 @t273)) % 151.46/151.91 (define @t276 () (forall @t123 @t275)) % 151.46/151.91 (define @t277 () (not @t276)) % 151.46/151.91 (define @t278 () (forall @t120 @t273)) % 151.46/151.91 (define @t279 () (not @t278)) % 151.46/151.91 (define @t280 () (= @t96 @t96)) % 151.46/151.91 (define @t281 () (and @t280 @t279)) % 151.46/151.91 (define @t282 () (or @t193 @t192 @t274 @t190)) % 151.46/151.91 (define @t283 () (forall @t117 @t282)) % 151.46/151.91 (define @t284 () (not @t283)) % 151.46/151.91 (define @t285 () (not (= @t105 @t189))) % 151.46/151.91 (define @t286 () (forall @t220 (or (not (tptp.mem2 @t96 @t103)) @t285))) % 151.46/151.92 (define @t287 () (not @t286)) % 151.46/151.92 (define @t288 () (forall @t220 (or (not (tptp.mem2 @t96 @t104)) @t285))) % 151.46/151.92 (define @t289 () (not @t288)) % 151.46/151.92 (define @t290 () (not (= @t100 @t189))) % 151.46/151.92 (define @t291 () (not (= @t101 @t96))) % 151.46/151.92 (define @t292 () (or @t291 @t290)) % 151.46/151.92 (define @t293 () (forall @t102 @t292)) % 151.46/151.92 (define @t294 () (not @t293)) % 151.46/151.92 (define @t295 () (= tptp.epsilon1 @t189)) % 151.46/151.92 (define @t296 () (and @t280 @t295)) % 151.46/151.92 (define @t297 () (tptp.mem2 @t96 @t189)) % 151.46/151.92 (define @t298 () (not @t297)) % 151.46/151.92 (define @t299 () (or @t298 @t296 @t294 @t289 @t287 @t284 @t281 @t277)) % 151.46/151.92 (define @t300 () (forall @t147 @t230)) % 151.46/151.92 (define @t301 () (forall @t123 (or @t205 @t204 @t191 @t273))) % 151.46/151.92 (define @t302 () (not @t301)) % 151.46/151.92 (define @t303 () (not @t194)) % 151.46/151.92 (define @t304 () (forall @t102 (or (not (= @t96 @t101)) @t290))) % 151.46/151.92 (define @t305 () (not @t304)) % 151.46/151.92 (define @t306 () (or @t298 @t295 @t305 @t289 @t287 @t303 @t279 @t302)) % 151.46/151.92 (define @t307 () (@list false)) % 151.46/151.92 (define @t308 () (@quantifiers_skolemize @t301 2)) % 151.46/151.92 (define @t309 () (tptp.star1 @t308)) % 151.46/151.92 (define @t310 () (= @t189 @t309)) % 151.46/151.92 (define @t311 () (not @t310)) % 151.46/151.92 (define @t312 () (@quantifiers_skolemize @t301 1)) % 151.46/151.92 (define @t313 () (@quantifiers_skolemize @t301 0)) % 151.46/151.92 (define @t314 () (not (= @t96 (tptp.tb2t (tptp.infix_plpl tptp.char1 (tptp.t2tb @t313) (tptp.t2tb @t312)))))) % 151.46/151.92 (define @t315 () (not (tptp.mem2 @t312 @t309))) % 151.46/151.92 (define @t316 () (not (tptp.mem2 @t313 @t308))) % 151.46/151.92 (define @t317 () (or @t316 @t315 @t314 @t311)) % 151.46/151.92 (define @t318 () (@list true)) % 151.46/151.92 (define @t319 () (not @t317)) % 151.46/151.92 (define @t320 () (not (= @t309 @t189))) % 151.46/151.92 (define @t321 () (or @t316 @t315 @t314 @t320)) % 151.46/151.92 (define @t322 () (not @t321)) % 151.46/151.92 (define @t323 () (@quantifiers_skolemize @t304 0)) % 151.46/151.92 (define @t324 () (tptp.char3 @t323)) % 151.46/151.92 (define @t325 () (not (= @t324 @t189))) % 151.46/151.92 (define @t326 () (= @t189 @t324)) % 151.46/151.92 (define @t327 () (not @t326)) % 151.46/151.92 (define @t328 () (not (= @t96 (tptp.tb2t (tptp.cons tptp.char1 (tptp.t2tb1 @t323) @t95))))) % 151.46/151.92 (define @t329 () (or @t328 @t327)) % 151.46/151.92 (define @t330 () (not @t329)) % 151.46/151.92 (define @t331 () (or @t328 @t325)) % 151.46/151.92 (define @t332 () (not @t331)) % 151.46/151.92 (define @t333 () (@quantifiers_skolemize @t278 0)) % 151.46/151.92 (define @t334 () (tptp.star1 @t333)) % 151.46/151.92 (define @t335 () (= @t189 @t334)) % 151.46/151.92 (define @t336 () (= @t334 @t189)) % 151.46/151.92 (define @t337 () (not (not @t336))) % 151.46/151.92 (define @t338 () (@quantifiers_skolemize @t286 1)) % 151.46/151.92 (define @t339 () (@quantifiers_skolemize @t286 0)) % 151.46/151.92 (define @t340 () (tptp.alt1 @t339 @t338)) % 151.46/151.92 (define @t341 () (not (= @t340 @t189))) % 151.46/151.92 (define @t342 () (= @t189 @t340)) % 151.46/151.92 (define @t343 () (not @t342)) % 151.46/151.92 (define @t344 () (@list @t43)) % 151.46/151.92 (define @t345 () (not (tptp.mem2 @t96 @t338))) % 151.46/151.92 (define @t346 () (or @t345 @t343)) % 151.46/151.92 (define @t347 () (not @t346)) % 151.46/151.92 (define @t348 () (or @t345 @t341)) % 151.46/151.92 (define @t349 () (not @t348)) % 151.46/151.92 (define @t350 () (@quantifiers_skolemize @t288 1)) % 151.46/151.92 (define @t351 () (@quantifiers_skolemize @t288 0)) % 151.46/151.92 (define @t352 () (tptp.alt1 @t351 @t350)) % 151.46/151.92 (define @t353 () (not (= @t352 @t189))) % 151.46/151.92 (define @t354 () (= @t189 @t352)) % 151.46/151.92 (define @t355 () (not @t354)) % 151.46/151.92 (define @t356 () (not (tptp.mem2 @t96 @t351))) % 151.46/151.92 (define @t357 () (or @t356 @t355)) % 151.46/151.92 (define @t358 () (not @t357)) % 151.46/151.92 (define @t359 () (or @t356 @t353)) % 151.46/151.92 (define @t360 () (not @t359)) % 151.46/151.92 (define @t361 () (@list @t188 @t187)) % 151.46/151.92 (define @t362 () (= tptp.true1 tptp.true1)) % 151.46/151.92 (define @t363 () (not @t362)) % 151.46/151.92 (define @t364 () (or (= @t362 @t183) @t363 @t182 @t181 @t179)) % 151.46/151.92 (define @t365 () (= tptp.true1 @t159)) % 151.46/151.92 (define @t366 () (not @t365)) % 151.46/151.92 (define @t367 () (= @t365 @t183)) % 151.46/151.92 (define @t368 () (@list @t159)) % 151.46/151.92 (define @t369 () (or @t366 @t367 @t366 @t182 @t181 @t179)) % 151.46/151.92 (define @t370 () (or @t367 @t366 @t182 @t181 @t179)) % 151.46/151.92 (define @t371 () (forall @t368 @t370)) % 151.46/151.92 (define @t372 () (forall @t185 @t371)) % 151.46/151.92 (define @t373 () (forall (@list @t17 @t151 @t178 @t159) @t370)) % 151.46/151.92 (define @t374 () (@list @t17 @t151 @t159 @t178)) % 151.46/151.92 (define @t375 () (= @t179 @t180)) % 151.46/151.92 (define @t376 () (or @t367 @t366 @t182 @t375 @t179)) % 151.46/151.92 (define @t377 () (or @t375 @t179)) % 151.46/151.92 (define @t378 () (or @t367 @t366 @t182 @t377)) % 151.46/151.92 (define @t379 () (forall @t374 @t378)) % 151.46/151.92 (define @t380 () (@list @t178)) % 151.46/151.92 (define @t381 () (forall @t380 @t378)) % 151.46/151.92 (define @t382 () (forall @t380 @t377)) % 151.46/151.92 (define @t383 () (or @t367 @t366 @t182 @t382)) % 151.46/151.92 (define @t384 () (= tptp.true1 @t149)) % 151.46/151.92 (define @t385 () (= @t384 @t180)) % 151.46/151.92 (define @t386 () (or @t385 @t384)) % 151.46/151.92 (define @t387 () (forall @t157 @t386)) % 151.46/151.92 (define @t388 () (= @t183 @t365)) % 151.46/151.92 (define @t389 () (or @t388 @t366 @t182 @t387)) % 151.46/151.92 (define @t390 () (or @t366 @t182 @t387)) % 151.46/151.92 (define @t391 () (or @t182 @t387)) % 151.46/151.92 (define @t392 () (=> @t365 @t391)) % 151.46/151.92 (define @t393 () (= @t162 @t365)) % 151.46/151.92 (define @t394 () (or @t182 @t386)) % 151.46/151.92 (define @t395 () (or @t385 @t182 @t384)) % 151.46/151.92 (define @t396 () (= @t180 @t384)) % 151.46/151.92 (define @t397 () (or @t396 @t182 @t384)) % 151.46/151.92 (define @t398 () (=> @t152 @t384)) % 151.46/151.92 (define @t399 () (= @t154 @t384)) % 151.46/151.92 (define @t400 () (= tptp.true1 (@quantifiers_skolemize @t186 2))) % 151.46/151.92 (define @t401 () (tptp.mem2 @t96 @t187)) % 151.46/151.92 (define @t402 () (not @t401)) % 151.46/151.92 (define @t403 () (= @t402 @t400)) % 151.46/151.92 (define @t404 () (or (not (tptp.mem2 @t96 @t188)) @t298 @t403 @t400)) % 151.46/151.92 (define @t405 () (@list @t404)) % 151.46/151.92 (define @t406 () (@quantifiers_skolemize @t194 3)) % 151.46/151.92 (define @t407 () (@quantifiers_skolemize @t194 2)) % 151.46/151.92 (define @t408 () (tptp.concat1 @t407 @t406)) % 151.46/151.92 (define @t409 () (= @t189 @t408)) % 151.46/151.92 (define @t410 () (not @t409)) % 151.46/151.92 (define @t411 () (tptp.tb2t @t199)) % 151.46/151.92 (define @t412 () (= @t96 @t411)) % 151.46/151.92 (define @t413 () (not @t412)) % 151.46/151.92 (define @t414 () (tptp.mem2 @t195 @t406)) % 151.46/151.92 (define @t415 () (not @t414)) % 151.46/151.92 (define @t416 () (not (tptp.mem2 @t197 @t407))) % 151.46/151.92 (define @t417 () (or @t416 @t415 @t413 @t410)) % 151.46/151.92 (define @t418 () (not @t417)) % 151.46/151.92 (define @t419 () (not (= @t408 @t189))) % 151.46/151.92 (define @t420 () (or @t416 @t415 @t413 @t419)) % 151.46/151.92 (define @t421 () (not @t420)) % 151.46/151.92 (define @t422 () (@list @t417)) % 151.46/151.92 (define @t423 () (@list tptp.char1 @t198)) % 151.46/151.92 (define @t424 () (@var "BOUND_VARIABLE_8078" tptp.uni)) % 151.46/151.92 (define @t425 () (@var "BOUND_VARIABLE_8076" tptp.ty)) % 151.46/151.92 (define @t426 () (= (tptp.infix_plpl @t425 (tptp.cons @t425 @t51 @t4) @t424) (tptp.cons @t425 @t51 (tptp.infix_plpl @t425 @t4 @t424)))) % 151.46/151.92 (define @t427 () (forall (@list @t425 @t424) (forall @t63 @t426))) % 151.46/151.92 (define @t428 () (@var "BOUND_VARIABLE_8069" tptp.uni)) % 151.46/151.92 (define @t429 () (@var "BOUND_VARIABLE_8067" tptp.ty)) % 151.46/151.92 (define @t430 () (forall (@list @t429 @t428) (= @t428 (tptp.infix_plpl @t429 (tptp.nil @t429) @t428)))) % 151.46/151.92 (define @t431 () (forall @t67 @t64)) % 151.46/151.92 (define @t432 () (@list @t1 @t62)) % 151.46/151.92 (define @t433 () (= @t62 @t65)) % 151.46/151.92 (define @t434 () (forall @t67 @t433)) % 151.46/151.92 (define @t435 () (and @t434 @t431)) % 151.46/151.92 (define @t436 () (tptp.t2tb @t96)) % 151.46/151.92 (define @t437 () (@list tptp.char1 @t196)) % 151.46/151.92 (define @t438 () (= @t96 @t195)) % 151.46/151.92 (define @t439 () (not @t438)) % 151.46/151.92 (define @t440 () (tptp.concat_proj_21 @t408)) % 151.46/151.92 (define @t441 () (= @t406 @t440)) % 151.46/151.92 (define @t442 () (not @t441)) % 151.46/151.92 (define @t443 () (= @t187 (tptp.concat_proj_21 @t189))) % 151.46/151.92 (define @t444 () (not @t443)) % 151.46/151.92 (define @t445 () (and @t402 @t438 @t443 @t409 @t441 @t414)) % 151.46/151.92 (define @t446 () (= @t95 @t436)) % 151.46/151.92 (define @t447 () (= @t436 (tptp.infix_plpl tptp.char1 @t95 @t436))) % 151.46/151.92 (define @t448 () (= @t199 (tptp.t2tb @t411))) % 151.46/151.92 (define @t449 () (= @t195 (tptp.tb2t @t196))) % 151.46/151.92 (define @t450 () (= @t96 @t197)) % 151.46/151.92 (define @t451 () (= @t196 (tptp.infix_plpl tptp.char1 @t196 @t95))) % 151.46/151.92 (define @t452 () (= @t196 (tptp.infix_plpl tptp.char1 @t95 @t196))) % 151.46/151.92 (define @t453 () (tptp.infix_plpl tptp.char1 @t196 @t436)) % 151.46/151.92 (define @t454 () (tptp.infix_plpl tptp.char1 @t436 @t95)) % 151.46/151.92 (define @t455 () (tptp.infix_plpl tptp.char1 @t436 @t436)) % 151.46/151.92 (define @t456 () (tptp.tb2t @t455)) % 151.46/151.92 (define @t457 () (and @t446 @t412 @t447 @t448 @t449 @t450 @t451 @t452)) % 151.46/151.92 (define @t458 () (not @t450)) % 151.46/151.92 (define @t459 () (not @t448)) % 151.46/151.92 (define @t460 () (not @t447)) % 151.46/151.92 (define @t461 () (not @t446)) % 151.46/151.92 (define @t462 () (= @t197 (tptp.tb2t @t198))) % 151.46/151.92 (define @t463 () (= @t95 @t198)) % 151.46/151.92 (define @t464 () (= @t198 (tptp.infix_plpl tptp.char1 @t95 @t198))) % 151.46/151.92 (define @t465 () (= @t198 (tptp.infix_plpl tptp.char1 @t198 @t95))) % 151.46/151.92 (define @t466 () (tptp.infix_plpl tptp.char1 @t436 @t198)) % 151.46/151.92 (define @t467 () (tptp.infix_plpl tptp.char1 @t198 @t436)) % 151.46/151.92 (define @t468 () (and @t446 @t447 @t462 @t463 @t464 @t465)) % 151.46/151.92 (define @t469 () (not @t463)) % 151.46/151.92 (define @t470 () (tptp.length1 tptp.char1 @t198)) % 151.46/151.92 (define @t471 () (= @t470 0)) % 151.46/151.92 (define @t472 () (= @t471 @t463)) % 151.46/151.92 (define @t473 () (not @t471)) % 151.46/151.92 (define @t474 () (>= @t470 0)) % 151.46/151.92 (define @t475 () (not @t474)) % 151.46/151.92 (define @t476 () (tptp.length1 tptp.char1 @t196)) % 151.46/151.92 (define @t477 () (>= @t476 0)) % 151.46/151.92 (define @t478 () (not @t477)) % 151.46/151.92 (define @t479 () (+ @t470 @t476)) % 151.46/151.92 (define @t480 () (tptp.length1 tptp.char1 @t199)) % 151.46/151.92 (define @t481 () (= @t480 @t479)) % 151.46/151.92 (define @t482 () (not @t481)) % 151.46/151.92 (define @t483 () (tptp.length1 tptp.char1 @t95)) % 151.46/151.92 (define @t484 () (= @t483 0)) % 151.46/151.92 (define @t485 () (not @t484)) % 151.46/151.92 (define @t486 () (= 0 @t480)) % 151.46/151.92 (define @t487 () (>= @t470 1)) % 151.46/151.92 (define @t488 () (* -1 0)) % 151.46/151.92 (define @t489 () (* -1 1)) % 151.46/151.92 (define @t490 () (+ @t489 @t488 @t488 0)) % 151.46/151.92 (define @t491 () (+ (* -1 @t480) @t470 @t476)) % 151.46/151.92 (define @t492 () (* -1 @t476)) % 151.46/151.92 (define @t493 () (* -1 @t470)) % 151.46/151.92 (define @t494 () (+ @t480 @t493 @t492)) % 151.46/151.92 (define @t495 () (* -1 @t494)) % 151.46/151.92 (define @t496 () (+ @t493 @t492 @t495 @t480)) % 151.46/151.92 (define @t497 () (= @t494 0)) % 151.46/151.92 (define @t498 () (and @t486 @t481 @t477 @t473 @t474)) % 151.46/151.92 (assume @p1 (forall @t2 (tptp.sort1 @t1 (tptp.witness1 @t1)))) % 151.46/151.92 (assume @p2 (forall (@list @t1 @t5 @t4 @t3) (tptp.sort1 @t1 (tptp.match_bool1 @t1 @t5 @t4 @t3)))) % 151.46/151.92 (assume @p3 (forall @t9 (=> @t8 (= (tptp.match_bool1 @t1 tptp.true1 @t6 @t7) @t6)))) % 151.46/151.92 (assume @p4 (forall @t9 (=> @t10 (= (tptp.match_bool1 @t1 tptp.false1 @t6 @t7) @t7)))) % 151.46/151.92 (assume @p5 (not (= tptp.true1 tptp.false1))) % 151.46/151.92 (assume @p6 (forall (@list @t11) (or (= @t11 tptp.true1) (= @t11 tptp.false1)))) % 151.46/151.92 (assume @p7 (forall (@list @t12) (= @t12 tptp.tuple03))) % 151.46/151.92 (assume @p8 (forall (@list @t1 @t17 @t4 @t3 @t16 @t15 @t14 @t13) (tptp.sort1 @t1 (tptp.match_regexp1 @t1 @t17 @t4 @t3 @t16 @t15 @t14 @t13)))) % 151.46/151.92 (assume @p9 (forall @t22 (=> @t8 (= (tptp.match_regexp1 @t1 tptp.empty1 @t6 @t7 @t21 @t20 @t19 @t18) @t6)))) % 151.46/151.92 (assume @p10 (forall @t22 (=> @t10 (= (tptp.match_regexp1 @t1 tptp.epsilon1 @t6 @t7 @t21 @t20 @t19 @t18) @t7)))) % 151.46/151.92 (assume @p11 (forall (@list @t1 @t6 @t7 @t21 @t20 @t19 @t18 @t23) (=> (tptp.sort1 @t1 @t21) (= (tptp.match_regexp1 @t1 @t24 @t6 @t7 @t21 @t20 @t19 @t18) @t21)))) % 151.46/151.92 (assume @p12 (forall @t28 (=> (tptp.sort1 @t1 @t20) (= (tptp.match_regexp1 @t1 @t27 @t6 @t7 @t21 @t20 @t19 @t18) @t20)))) % 151.46/151.92 (assume @p13 (forall @t28 (=> (tptp.sort1 @t1 @t19) (= (tptp.match_regexp1 @t1 @t29 @t6 @t7 @t21 @t20 @t19 @t18) @t19)))) % 151.46/151.92 (assume @p14 (forall (@list @t1 @t6 @t7 @t21 @t20 @t19 @t18 @t26) (=> (tptp.sort1 @t1 @t18) (= (tptp.match_regexp1 @t1 @t30 @t6 @t7 @t21 @t20 @t19 @t18) @t18)))) % 151.46/151.92 (assume @p15 (not (= tptp.empty1 tptp.epsilon1))) % 151.46/151.92 (assume @p16 (forall @t33 (not (= tptp.empty1 @t32)))) % 151.46/151.92 (assume @p17 (forall @t37 (not (= tptp.empty1 @t36)))) % 151.46/151.92 (assume @p18 (forall @t37 (not (= tptp.empty1 @t38)))) % 151.46/151.92 (assume @p19 (forall @t40 (not (= tptp.empty1 @t39)))) % 151.46/151.92 (assume @p20 (forall @t33 (not (= tptp.epsilon1 @t32)))) % 151.46/151.92 (assume @p21 (forall @t37 (not (= tptp.epsilon1 @t36)))) % 151.46/151.92 (assume @p22 (forall @t37 (not (= tptp.epsilon1 @t38)))) % 151.46/151.92 (assume @p23 (forall @t40 (not (= tptp.epsilon1 @t39)))) % 151.46/151.92 (assume @p24 (forall @t41 (not (= @t24 @t36)))) % 151.46/151.92 (assume @p25 @t42) % 151.46/151.92 (assume @p26 (forall (@list @t23 @t35) (not (= @t24 @t39)))) % 151.46/151.92 (assume @p27 @t43) % 151.46/151.92 (assume @p28 (forall @t44 (not (= @t27 @t39)))) % 151.46/151.92 (assume @p29 (forall @t44 (not (= @t29 @t39)))) % 151.46/151.92 (assume @p30 (forall (@list @t23) (= (tptp.char_proj_11 @t24) @t23))) % 151.46/151.92 (assume @p31 (forall @t45 (= (tptp.alt_proj_11 @t27) @t26))) % 151.46/151.92 (assume @p32 (forall @t45 (= (tptp.alt_proj_21 @t27) @t25))) % 151.46/151.92 (assume @p33 (forall @t45 (= (tptp.concat_proj_11 @t29) @t26))) % 151.46/151.92 (assume @p34 @t47) % 151.46/151.92 (assume @p35 (forall @t48 (= (tptp.star_proj_11 @t30) @t26))) % 151.46/151.92 (assume @p36 (forall @t48 (or (= @t26 tptp.empty1) (= @t26 tptp.epsilon1) (= @t26 (tptp.char3 (tptp.char_proj_11 @t26))) (= @t26 (tptp.alt1 (tptp.alt_proj_11 @t26) (tptp.alt_proj_21 @t26))) (= @t26 (tptp.concat1 (tptp.concat_proj_11 @t26) (tptp.concat_proj_21 @t26))) (= @t26 (tptp.star1 (tptp.star_proj_11 @t26)))))) % 151.46/151.92 (assume @p37 (forall @t2 (tptp.sort1 @t50 @t49))) % 151.46/151.92 (assume @p38 (forall @t53 (tptp.sort1 @t50 @t52))) % 151.46/151.92 (assume @p39 (forall (@list @t1 @t54 @t51 @t4 @t3) (tptp.sort1 @t54 (tptp.match_list @t54 @t1 @t51 @t4 @t3)))) % 151.46/151.92 (assume @p40 (forall (@list @t1 @t54 @t6 @t7) (=> (tptp.sort1 @t54 @t6) (= (tptp.match_list @t54 @t1 @t49 @t6 @t7) @t6)))) % 151.46/151.92 (assume @p41 (forall (@list @t1 @t54 @t6 @t7 @t56 @t55) (=> (tptp.sort1 @t54 @t7) (= (tptp.match_list @t54 @t1 @t57 @t6 @t7) @t7)))) % 151.46/151.92 (assume @p42 (forall (@list @t1 @t59 @t58) (not (= @t49 (tptp.cons @t1 @t59 @t58))))) % 151.46/151.92 (assume @p43 (forall @t60 (tptp.sort1 @t1 (tptp.cons_proj_1 @t1 @t51)))) % 151.46/151.92 (assume @p44 (forall @t61 (=> (tptp.sort1 @t1 @t56) (= (tptp.cons_proj_1 @t1 @t57) @t56)))) % 151.46/151.92 (assume @p45 (forall @t60 (tptp.sort1 @t50 (tptp.cons_proj_2 @t1 @t51)))) % 151.46/151.92 (assume @p46 (forall @t61 (= (tptp.cons_proj_2 @t1 @t57) @t55))) % 151.46/151.92 (assume @p47 (forall (@list @t1 @t56) (or (= @t56 @t49) (= @t56 (tptp.cons @t1 (tptp.cons_proj_1 @t1 @t56) (tptp.cons_proj_2 @t1 @t56)))))) % 151.46/151.92 (assume @p48 (forall @t53 (tptp.sort1 @t50 (tptp.infix_plpl @t1 @t51 @t4)))) % 151.46/151.92 (assume @p49 @t68) % 151.46/151.92 (assume @p50 (forall (@list @t1 @t70 @t62 @t69) (= (tptp.infix_plpl @t1 @t70 (tptp.infix_plpl @t1 @t62 @t69)) (tptp.infix_plpl @t1 @t71 @t69)))) % 151.46/151.92 (assume @p51 @t75) % 151.46/151.92 (assume @p52 (forall (@list @t78 @t77 @t76) (=> (<= @t78 @t77) (=> (<= 0 @t76) (<= (* @t78 @t76) (* @t77 @t76)))))) % 151.46/151.92 (assume @p53 @t81) % 151.46/151.92 (assume @p54 @t83) % 151.46/151.92 (assume @p55 @t86) % 151.46/151.92 (assume @p56 (forall (@list @t1 @t70 @t62) (= (tptp.length1 @t1 @t71) (+ (tptp.length1 @t1 @t70) (tptp.length1 @t1 @t62))))) % 151.46/151.92 (assume @p57 (forall @t60 (=> (tptp.sort1 @t1 @t51) (and (not (tptp.mem @t1 @t51 @t49)) (forall (@list @t4 @t3) (=> (tptp.sort1 @t1 @t4) (= (tptp.mem @t1 @t51 (tptp.cons @t1 @t4 @t3)) (or (= @t51 @t4) (tptp.mem @t1 @t51 @t3))))))))) % 151.46/151.92 (assume @p58 (forall (@list @t1 @t51 @t70 @t62) (= (tptp.mem @t1 @t51 @t71) (or (tptp.mem @t1 @t51 @t70) (tptp.mem @t1 @t51 @t62))))) % 151.46/151.92 (assume @p59 (forall (@list @t1 @t51 @t72) (=> (tptp.mem @t1 @t51 @t72) (exists (@list @t70 @t62) (and (tptp.sort1 @t50 @t70) (tptp.sort1 @t50 @t62) (= @t72 (tptp.infix_plpl @t1 @t70 (tptp.cons @t1 @t51 @t62)))))))) % 151.46/151.92 (assume @p60 (forall (@list @t87) (tptp.sort1 (tptp.list tptp.char1) (tptp.t2tb @t87)))) % 151.46/151.92 (assume @p61 @t90) % 151.46/151.92 (assume @p62 @t94) % 151.46/151.92 (assume @p63 (tptp.mem2 @t96 tptp.epsilon1)) % 151.46/151.92 (assume @p64 (forall (@list @t97) (tptp.sort1 tptp.char1 (tptp.t2tb1 @t97)))) % 151.46/151.92 (assume @p65 (forall (@list @t98) (= (tptp.tb2t1 (tptp.t2tb1 @t98)) @t98))) % 151.46/151.92 (assume @p66 (forall @t93 (=> (tptp.sort1 tptp.char1 @t91) (= (tptp.t2tb1 (tptp.tb2t1 @t91)) @t91)))) % 151.46/151.92 (assume @p67 (forall @t102 (tptp.mem2 @t101 @t100))) % 151.46/151.92 (assume @p68 (forall @t109 (=> @t108 @t107))) % 151.46/151.92 (assume @p69 (forall @t109 (=> @t110 @t107))) % 151.46/151.92 (assume @p70 (forall @t117 (=> @t116 (=> @t115 (tptp.mem2 @t114 @t111))))) % 151.46/151.92 (assume @p71 (forall @t120 (tptp.mem2 @t96 @t119))) % 151.46/151.92 (assume @p72 (forall @t123 (=> @t122 (=> @t121 (tptp.mem2 @t114 @t119))))) % 151.46/151.92 (assume @p73 @t148) % 151.46/151.92 (assume @p74 @t167) % 151.46/151.92 (assume @p75 true) % 151.46/151.92 (step @p76 :rule quant-merge-prenex :args ((= @t170 (forall (@list @t168 @t51 @t4) @t169)))) % 151.46/151.92 (step @p77 :rule refl :args (@t172)) % 151.46/151.92 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((and @t172 @t170))) % 151.46/151.92 (step @p79 :rule alpha_equiv :args (@t173 @t174 (@list @t168))) % 151.46/151.92 (step @p80 :rule alpha_equiv :args (@t175 @t174 (@list @t171))) % 151.46/151.92 (step @p81 :rule nary_cong :premises (@p80 @p79) :args (@t176)) % 151.46/151.92 (step @p82 :rule quant-miniscope-and :args ((= @t81 @t176))) % 151.46/151.92 (step @p83 :rule trans :premises (@p82 @p81)) % 151.46/151.92 (step @p84 :rule trans :premises (@p83 @p78)) % 151.46/151.92 (step @p85 :rule eq_resolve :premises (@p53 @p84)) % 151.46/151.92 (step @p86 :rule and_elim :premises (@p85) :args (0)) % 151.46/151.92 (step @p87 :rule instantiate :premises (@p86) :args (@t177)) % 151.46/151.92 (step @p88 :rule eq-symm :args (@t92 @t91)) % 151.46/151.92 (step @p89 :rule cong :premises (@p88) :args (@t94)) % 151.46/151.92 (step @p90 :rule eq_resolve :premises (@p62 @p89)) % 151.46/151.92 (step @p91 :rule instantiate :premises (@p90) :args ((@list @t95))) % 151.46/151.92 (step @p92 :rule instantiate :premises (@p90) :args ((@list @t199))) % 151.46/151.92 (step @p93 :rule instantiate :premises (@p56) :args ((@list tptp.char1 @t198 @t196))) % 151.46/151.92 (step @p94 :rule aci_norm :args ((= (or @t229 (or @t228 @t227 @t224 @t221 @t215 @t211 @t207)) @t230))) % 151.46/151.92 (step @p95 :rule refl :args (@t207)) % 151.46/151.92 (step @p96 :rule refl :args (@t209)) % 151.46/151.92 (step @p97 :rule bool-double-not-elim :args (@t210)) % 151.46/151.92 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((and (not @t231) @t209))) % 151.46/151.92 (step @p99 :rule bool-or-de-morgan :args (@t231 @t208 false)) % 151.46/151.92 (step @p100 :rule trans :premises (@p99 @p98)) % 151.46/151.92 (step @p101 :rule refl :args (@t215)) % 151.46/151.92 (step @p102 :rule refl :args (@t221)) % 151.46/151.92 (step @p103 :rule refl :args (@t224)) % 151.46/151.92 (step @p104 :rule refl :args (@t227)) % 151.46/151.92 (step @p105 :rule refl :args (@t228)) % 151.46/151.92 (step @p106 :rule nary_cong :premises (@p105 @p104 @p103 @p102 @p101 @p100 @p95) :args (@t233)) % 151.46/151.92 (step @p107 :rule refl :args (@t229)) % 151.46/151.92 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or @t229 @t233))) % 151.46/151.92 (step @p109 :rule trans :premises (@p108 @p94)) % 151.46/151.92 (step @p110 :rule bool-impl-elim :args (@t145 @t233)) % 151.46/151.92 (step @p111 :rule trans :premises (@p110 @p109)) % 151.46/151.92 (step @p112 :rule cong :premises (@p111) :args ((forall @t147 (=> @t145 @t233)))) % 151.46/151.92 (step @p113 :rule aci_norm :args ((= (or @t205 (or @t204 (or @t203 @t201))) @t206))) % 151.46/151.92 (step @p114 :rule bool-and-de-morgan :args (@t202 @t200 true)) % 151.46/151.92 (step @p115 :rule refl :args (@t204)) % 151.46/151.92 (step @p116 :rule nary_cong :premises (@p115 @p114) :args ((or @t204 (not (and @t202 @t200))))) % 151.46/151.92 (step @p117 :rule bool-and-de-morgan :args (@t121 @t202 (and @t200))) % 151.46/151.92 (step @p118 :rule trans :premises (@p117 @p116)) % 151.46/151.92 (step @p119 :rule refl :args (@t205)) % 151.46/151.92 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or @t205 (not (and @t121 @t202 @t200))))) % 151.46/151.92 (step @p121 :rule bool-and-de-morgan :args (@t122 @t121 (and @t202 @t200))) % 151.46/151.92 (step @p122 :rule trans :premises (@p121 @p120)) % 151.46/151.92 (step @p123 :rule trans :premises (@p122 @p113)) % 151.46/151.92 (step @p124 :rule cong :premises (@p123) :args (@t235)) % 151.46/151.92 (step @p125 :rule cong :premises (@p124) :args (@t236)) % 151.46/151.92 (step @p126 :rule exists-elim :args ((= (exists @t123 @t234) @t236))) % 151.46/151.92 (step @p127 :rule trans :premises (@p126 @p125)) % 151.46/151.92 (step @p128 :rule eq-symm :args (@t124 @t119)) % 151.46/151.92 (step @p129 :rule eq-symm :args (@t126 @t114)) % 151.46/151.92 (step @p130 :rule refl :args (@t121)) % 151.46/151.92 (step @p131 :rule refl :args (@t122)) % 151.46/151.92 (step @p132 :rule nary_cong :premises (@p131 @p130 @p129 @p128) :args (@t128)) % 151.46/151.92 (step @p133 :rule cong :premises (@p132) :args (@t129)) % 151.46/151.92 (step @p134 :rule trans :premises (@p133 @p127)) % 151.46/151.92 (step @p135 :rule quant-miniscope-or :args ((= (forall @t120 (or @t231 @t201)) @t232))) % 151.46/151.92 (step @p136 :rule bool-and-de-morgan :args (@t210 @t200 true)) % 151.46/151.92 (step @p137 :rule cong :premises (@p136) :args (@t238)) % 151.46/151.92 (step @p138 :rule trans :premises (@p137 @p135)) % 151.46/151.92 (step @p139 :rule cong :premises (@p138) :args (@t239)) % 151.46/151.92 (step @p140 :rule exists-elim :args ((= (exists @t120 @t237) @t239))) % 151.46/151.92 (step @p141 :rule trans :premises (@p140 @p139)) % 151.46/151.92 (step @p142 :rule eq-symm :args (@t126 @t96)) % 151.46/151.92 (step @p143 :rule nary_cong :premises (@p142 @p128) :args (@t131)) % 151.46/151.92 (step @p144 :rule cong :premises (@p143) :args (@t132)) % 151.46/151.92 (step @p145 :rule trans :premises (@p144 @p141)) % 151.46/151.92 (step @p146 :rule aci_norm :args ((= (or @t193 (or @t192 (or @t203 @t213))) @t214))) % 151.46/151.92 (step @p147 :rule bool-and-de-morgan :args (@t202 @t212 true)) % 151.46/151.92 (step @p148 :rule refl :args (@t192)) % 151.46/151.92 (step @p149 :rule nary_cong :premises (@p148 @p147) :args ((or @t192 (not (and @t202 @t212))))) % 151.46/151.92 (step @p150 :rule bool-and-de-morgan :args (@t115 @t202 (and @t212))) % 151.46/151.92 (step @p151 :rule trans :premises (@p150 @p149)) % 151.46/151.92 (step @p152 :rule refl :args (@t193)) % 151.46/151.92 (step @p153 :rule nary_cong :premises (@p152 @p151) :args ((or @t193 (not (and @t115 @t202 @t212))))) % 151.46/151.92 (step @p154 :rule bool-and-de-morgan :args (@t116 @t115 (and @t202 @t212))) % 151.46/151.92 (step @p155 :rule trans :premises (@p154 @p153)) % 151.46/151.92 (step @p156 :rule trans :premises (@p155 @p146)) % 151.46/151.92 (step @p157 :rule cong :premises (@p156) :args (@t241)) % 151.46/151.92 (step @p158 :rule cong :premises (@p157) :args (@t242)) % 151.46/151.92 (step @p159 :rule exists-elim :args ((= (exists @t117 @t240) @t242))) % 151.46/151.92 (step @p160 :rule trans :premises (@p159 @p158)) % 151.46/151.92 (step @p161 :rule eq-symm :args (@t124 @t111)) % 151.46/151.92 (step @p162 :rule refl :args (@t115)) % 151.46/151.92 (step @p163 :rule refl :args (@t116)) % 151.46/151.92 (step @p164 :rule nary_cong :premises (@p163 @p162 @p129 @p161) :args (@t133)) % 151.46/151.92 (step @p165 :rule cong :premises (@p164) :args (@t134)) % 151.46/151.92 (step @p166 :rule trans :premises (@p165 @p160)) % 151.46/151.92 (step @p167 :rule aci_norm :args ((= (or @t218 false @t217) @t219))) % 151.46/151.92 (step @p168 :rule refl :args (@t217)) % 151.46/151.92 (step @p169 :rule evaluate :args ((not true))) % 151.46/151.92 (step @p170 :rule eq-refl :args (@t126)) % 151.46/151.92 (step @p171 :rule cong :premises (@p170) :args (@t243)) % 151.46/151.92 (step @p172 :rule trans :premises (@p171 @p169)) % 151.46/151.92 (step @p173 :rule refl :args (@t218)) % 151.46/151.92 (step @p174 :rule nary_cong :premises (@p173 @p172 @p168) :args (@t244)) % 151.46/151.92 (step @p175 :rule trans :premises (@p174 @p167)) % 151.46/151.92 (step @p176 :rule cong :premises (@p175) :args ((forall @t220 @t244))) % 151.46/151.92 (step @p177 :rule quant-var-elim-eq :args ((= (forall @t249 @t248) @t244))) % 151.46/151.92 (step @p178 :rule aci_norm :args ((= @t250 @t248))) % 151.46/151.92 (step @p179 :rule cong :premises (@p178) :args (@t251)) % 151.46/151.92 (step @p180 :rule trans :premises (@p179 @p177)) % 151.46/151.92 (step @p181 :rule cong :premises (@p180) :args (@t252)) % 151.46/151.92 (step @p182 :rule quant-merge-prenex :args ((= @t252 @t254))) % 151.46/151.92 (step @p183 :rule symm :premises (@p182)) % 151.46/151.92 (step @p184 :rule quant_var_reordering :args ((= (forall @t109 @t250) @t254))) % 151.46/151.92 (step @p185 :rule trans :premises (@p184 @p183 @p181)) % 151.46/151.92 (step @p186 :rule trans :premises (@p185 @p176)) % 151.46/151.92 (step @p187 :rule 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@p858 :rule symm :premises (@p857)) % 151.46/151.92 (step @p859 :rule eq_resolve :premises (@p93 @p858)) % 151.46/151.92 (step @p860 :rule evaluate :args ((< -1 0))) % 151.46/151.92 (step @p861 :rule true_elim :premises (@p860)) % 151.46/151.92 (step @p862 :rule and_intro :premises (@p861 @p859)) % 151.46/151.92 (step @p863 :rule modus_ponens :premises (@p862 @p855)) % 151.46/151.92 (step @p864 :rule arith_mult_neg :args (-1 @t477)) % 151.46/151.92 (step @p865 :rule and_intro :premises (@p861 @p820)) % 151.46/151.92 (step @p866 :rule modus_ponens :premises (@p865 @p864)) % 151.46/151.92 (step @p867 :rule arith_mult_neg :args (-1 @t487)) % 151.46/151.92 (step @p868 :rule and_intro :premises (@p861 @p1031)) % 151.46/151.92 (step @p869 :rule modus_ponens :premises (@p868 @p867)) % 151.46/151.92 (step @p870 :rule arith_sum_ub :premises (@p869 @p866 @p863 @p854)) % 151.46/151.92 (step @p871 false :rule eq_resolve :premises (@p870 @p853)) % 151.46/151.92 (step-pop @p1032 :rule scope :premises (@p871)) % 151.46/151.92 (step @p872 :rule process_scope :premises (@p1032) :args (false)) % 151.46/151.92 (step @p874 :rule eq_resolve :premises (@p872 @p836)) % 151.46/151.92 (step @p875 :rule eq_resolve :premises (@p874 @p835)) % 151.46/151.92 (step @p876 :rule arith_trichotomy :premises (@p1029 @p821)) % 151.46/151.92 (step @p877 :rule int_tight_lb :premises (@p876)) % 151.46/151.92 (step @p878 false :rule contra :premises (@p877 @p875)) % 151.46/151.92 (step-pop @p1033 :rule scope :premises (@p878)) % 151.46/151.92 (step-pop @p1034 :rule scope :premises (@p1033)) % 151.46/151.92 (step-pop @p1035 :rule scope :premises (@p1034)) % 151.46/151.92 (step-pop @p1036 :rule scope :premises (@p1035)) % 151.46/151.92 (step-pop @p1037 :rule scope :premises (@p1036)) % 151.46/151.92 (step @p879 :rule process_scope :premises (@p1037) :args (false)) % 151.46/151.92 (assume-push @p1038 @t484) % 151.46/151.92 (assume-push @p1039 @t446) % 151.46/151.92 (assume-push @p1040 @t412) % 151.46/151.92 (assume-push @p1041 @t448) % 151.46/151.92 (assume-push @p1042 @t481) % 151.46/151.92 (assume-push @p1043 @t473) % 151.46/151.92 (assume-push @p1044 @t477) % 151.46/151.92 (assume-push @p1045 @t474) % 151.46/151.92 (assume-push @p1046 @t448) % 151.46/151.92 (assume-push @p1047 @t412) % 151.46/151.92 (assume-push @p1048 @t446) % 151.46/151.92 (assume-push @p1049 (= 0 @t483)) % 151.46/151.92 (step @p729 :rule symm :premises (@p92)) % 151.46/151.92 (step @p897 :rule cong :premises (@p1040) :args (@t436)) % 151.46/151.92 (step @p898 :rule trans :premises (@p91 @p897 @p729)) % 151.46/151.92 (step @p713 :rule refl :args (tptp.char1)) % 151.46/151.92 (step @p899 :rule cong :premises (@p713 @p898) :args (@t483)) % 151.46/151.92 (step @p900 :rule instantiate :premises (@p86) :args (@t177)) % 151.46/151.92 (step @p901 :rule symm :premises (@p900)) % 151.46/151.92 (step @p902 :rule trans :premises (@p901 @p899)) % 151.46/151.92 (step-pop @p1050 :rule scope :premises (@p902)) % 151.46/151.92 (step-pop @p1051 :rule scope :premises (@p1050)) % 151.46/151.92 (step-pop @p1052 :rule scope :premises (@p1051)) % 151.46/151.92 (step-pop @p1053 :rule scope :premises (@p1052)) % 151.46/151.92 (step @p903 :rule process_scope :premises (@p1053) :args (@t486)) % 151.46/151.92 (step @p908 :rule symm :premises (@p87)) % 151.46/151.92 (step @p909 :rule and_intro :premises (@p92 @p1040 @p91 @p908)) % 151.46/151.92 (step @p910 :rule modus_ponens :premises (@p909 @p903)) % 151.46/151.92 (step @p911 :rule and_intro :premises (@p910 @p93 @p820 @p1043 @p821)) % 151.46/151.92 (step-pop @p1054 :rule scope :premises (@p911)) % 151.46/151.92 (step-pop @p1055 :rule scope :premises (@p1054)) % 151.46/151.92 (step-pop @p1056 :rule scope :premises (@p1055)) % 151.46/151.92 (step-pop @p1057 :rule scope :premises (@p1056)) % 151.46/151.92 (step-pop @p1058 :rule scope :premises (@p1057)) % 151.46/151.92 (step-pop @p1059 :rule scope :premises (@p1058)) % 151.46/151.92 (step-pop @p1060 :rule scope :premises (@p1059)) % 151.46/151.92 (step-pop @p1061 :rule scope :premises (@p1060)) % 151.46/151.92 (step @p912 :rule process_scope :premises (@p1061) :args (@t498)) % 151.46/151.92 (step @p921 :rule implies_elim :premises (@p912)) % 151.46/151.92 (step @p922 :rule resolution :premises (@p921 @p879) :args (true @t498)) % 151.46/151.92 (step @p923 :rule not_and :premises (@p922)) % 151.46/151.92 (step @p924 :rule eq_resolve :premises (@p923 @p829)) % 151.46/151.92 (step @p925 false :rule chain_m_resolution :premises (@p924 @p821 @p820 @p816 @p583 @p93 @p92 @p91 @p87) :args (false (@list false false true false false false false false) (@list @t474 @t477 @t471 @t412 @t481 @t448 @t446 @t484))) % 151.46/151.92 ) % 151.46/151.92 % SZS output end Proof % 151.46/151.92 % cvc5 exiting %------------------------------------------------------------------------------