%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW670_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 : n029.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 09:05:27 AM UTC 2026 % Result : Theorem 45.90s 46.15s % Output : Proof 45.90s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW670_2 : TPTP v9.2.1. Released v6.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n029.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 22:23:17 EDT 2026 % 0.16/0.35 % CPUTime : % 0.31/0.51 %----Proving TF0_ARI % 45.90/46.15 --- Run --finite-model-find --decision=internal at 45... % 45.90/46.15 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 45.90/46.15 % SZS status Theorem % 45.90/46.15 % SZS output start Proof % 45.90/46.15 ( % 45.90/46.15 (declare-sort tptp.option_int 0) % 45.90/46.15 (declare-sort tptp.tuple02 0) % 45.90/46.15 (declare-sort tptp.bool1 0) % 45.90/46.15 (declare-sort tptp.ty 0) % 45.90/46.15 (declare-sort tptp.list_int 0) % 45.90/46.15 (declare-sort tptp.uni 0) % 45.90/46.15 (declare-const tptp.contents (-> tptp.ty tptp.uni tptp.uni)) % 45.90/46.15 (declare-const tptp.ref (-> tptp.ty tptp.ty)) % 45.90/46.15 (declare-const tptp.cons_proj_11 (-> tptp.ty tptp.uni tptp.uni)) % 45.90/46.15 (declare-const tptp.match_list1 (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 45.90/46.15 (declare-const tptp.witness1 (-> tptp.ty tptp.uni)) % 45.90/46.15 (declare-const tptp.int tptp.ty) % 45.90/46.15 (declare-const tptp.list (-> tptp.ty tptp.ty)) % 45.90/46.15 (declare-const tptp.true1 tptp.bool1) % 45.90/46.15 (declare-const tptp.cons_proj_21 (-> tptp.ty tptp.uni tptp.uni)) % 45.90/46.15 (declare-const tptp.match_bool1 (-> tptp.ty tptp.bool1 tptp.uni tptp.uni tptp.uni)) % 45.90/46.15 (declare-const tptp.tb2t2 (-> tptp.uni Int)) % 45.90/46.15 (declare-const tptp.sort1 (-> tptp.ty tptp.uni Bool)) % 45.90/46.15 (declare-const tptp.false1 tptp.bool1) % 45.90/46.15 (declare-const tptp.cons (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 45.90/46.15 (declare-const tptp.tuple03 tptp.tuple02) % 45.90/46.15 (declare-const tptp.none (-> tptp.ty tptp.uni)) % 45.90/46.15 (declare-const tptp.option (-> tptp.ty tptp.ty)) % 45.90/46.15 (declare-const tptp.nil (-> tptp.ty tptp.uni)) % 45.90/46.15 (declare-const tptp.some_proj_11 (-> tptp.ty tptp.uni tptp.uni)) % 45.90/46.15 (declare-const tptp.some (-> tptp.ty tptp.uni tptp.uni)) % 45.90/46.15 (declare-const tptp.match_option1 (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 45.90/46.15 (declare-const tptp.nth1 (-> tptp.ty Int tptp.uni tptp.uni)) % 45.90/46.15 (declare-const tptp.t2tb (-> tptp.option_int tptp.uni)) % 45.90/46.15 (declare-const tptp.tl (-> tptp.ty tptp.uni tptp.uni)) % 45.90/46.15 (declare-const tptp.tb2t (-> tptp.uni tptp.option_int)) % 45.90/46.15 (declare-const tptp.mk_ref (-> tptp.ty tptp.uni tptp.uni)) % 45.90/46.15 (declare-const tptp.t2tb1 (-> tptp.list_int tptp.uni)) % 45.90/46.15 (declare-const tptp.tb2t1 (-> tptp.uni tptp.list_int)) % 45.90/46.15 (declare-const tptp.t2tb2 (-> Int tptp.uni)) % 45.90/46.15 (declare-const tptp.hd (-> tptp.ty tptp.uni tptp.uni)) % 45.90/46.15 (declare-const tptp.zero_at1 (-> tptp.list_int Int Bool)) % 45.90/46.15 (declare-const tptp.length1 (-> tptp.ty tptp.uni Int)) % 45.90/46.15 (declare-const tptp.no_zero1 (-> tptp.list_int Bool)) % 45.90/46.15 (define @t1 () (@var "A" tptp.ty)) % 45.90/46.15 (define @t2 () (@list @t1)) % 45.90/46.15 (define @t3 () (@var "X2" tptp.uni)) % 45.90/46.15 (define @t4 () (@var "X1" tptp.uni)) % 45.90/46.15 (define @t5 () (@var "X" tptp.bool1)) % 45.90/46.15 (define @t6 () (@var "Z" tptp.uni)) % 45.90/46.15 (define @t7 () (@var "Z1" tptp.uni)) % 45.90/46.15 (define @t8 () (@list @t1 @t6 @t7)) % 45.90/46.15 (define @t9 () (@var "U" tptp.bool1)) % 45.90/46.15 (define @t10 () (@var "U" tptp.tuple02)) % 45.90/46.15 (define @t11 () (@var "Z" Int)) % 45.90/46.15 (define @t12 () (@var "Y" Int)) % 45.90/46.15 (define @t13 () (@var "X" Int)) % 45.90/46.15 (define @t14 () (tptp.nil @t1)) % 45.90/46.15 (define @t15 () (tptp.list @t1)) % 45.90/46.15 (define @t16 () (@var "X" tptp.uni)) % 45.90/46.15 (define @t17 () (tptp.cons @t1 @t16 @t4)) % 45.90/46.15 (define @t18 () (@var "A1" tptp.ty)) % 45.90/46.15 (define @t19 () (@list @t1 @t18 @t16 @t4 @t3)) % 45.90/46.15 (define @t20 () (tptp.sort1 @t18 @t6)) % 45.90/46.15 (define @t21 () (@list @t1 @t18 @t6 @t7)) % 45.90/46.15 (define @t22 () (@var "U1" tptp.uni)) % 45.90/46.15 (define @t23 () (@var "U" tptp.uni)) % 45.90/46.15 (define @t24 () (tptp.cons @t1 @t23 @t22)) % 45.90/46.15 (define @t25 () (tptp.sort1 @t18 @t7)) % 45.90/46.15 (define @t26 () (@var "V1" tptp.uni)) % 45.90/46.15 (define @t27 () (@var "V" tptp.uni)) % 45.90/46.15 (define @t28 () (@list @t1 @t16)) % 45.90/46.15 (define @t29 () (tptp.sort1 @t1 @t23)) % 45.90/46.15 (define @t30 () (@list @t1 @t23 @t22)) % 45.90/46.15 (define @t31 () (@list @t1 @t23)) % 45.90/46.15 (define @t32 () (@list @t16 @t4)) % 45.90/46.15 (define @t33 () (@var "L" tptp.uni)) % 45.90/46.15 (define @t34 () (tptp.length1 @t1 @t33)) % 45.90/46.15 (define @t35 () (@list @t1 @t33)) % 45.90/46.15 (define @t36 () (forall @t35 (<= 0 @t34))) % 45.90/46.15 (define @t37 () (= @t34 0)) % 45.90/46.15 (define @t38 () (= @t37 (= @t33 @t14))) % 45.90/46.15 (define @t39 () (forall @t35 @t38)) % 45.90/46.15 (define @t40 () (tptp.none @t1)) % 45.90/46.15 (define @t41 () (tptp.option @t1)) % 45.90/46.15 (define @t42 () (tptp.some @t1 @t16)) % 45.90/46.15 (define @t43 () (tptp.some @t1 @t23)) % 45.90/46.15 (define @t44 () (@var "N" Int)) % 45.90/46.15 (define @t45 () (- @t44 1)) % 45.90/46.15 (define @t46 () (tptp.nth1 @t1 @t45 @t4)) % 45.90/46.15 (define @t47 () (tptp.nth1 @t1 @t44 @t17)) % 45.90/46.15 (define @t48 () (= @t47 @t46)) % 45.90/46.15 (define @t49 () (= @t44 0)) % 45.90/46.15 (define @t50 () (not @t49)) % 45.90/46.15 (define @t51 () (=> @t50 @t48)) % 45.90/46.15 (define @t52 () (=> @t49 (= @t47 @t42))) % 45.90/46.15 (define @t53 () (and @t52 @t51)) % 45.90/46.15 (define @t54 () (forall @t32 @t53)) % 45.90/46.15 (define @t55 () (tptp.nth1 @t1 @t44 @t14)) % 45.90/46.15 (define @t56 () (and (= @t55 @t40) @t54)) % 45.90/46.15 (define @t57 () (@list @t1 @t44)) % 45.90/46.15 (define @t58 () (forall @t57 @t56)) % 45.90/46.15 (define @t59 () (@var "X" tptp.option_int)) % 45.90/46.15 (define @t60 () (@var "I" tptp.option_int)) % 45.90/46.15 (define @t61 () (@var "J" tptp.uni)) % 45.90/46.15 (define @t62 () (@list @t61)) % 45.90/46.15 (define @t63 () (@var "X" tptp.list_int)) % 45.90/46.15 (define @t64 () (@var "I" tptp.list_int)) % 45.90/46.15 (define @t65 () (tptp.t2tb1 (tptp.tb2t1 @t61))) % 45.90/46.15 (define @t66 () (forall @t62 (= @t65 @t61))) % 45.90/46.15 (define @t67 () (tptp.t2tb2 @t13)) % 45.90/46.15 (define @t68 () (@list @t13)) % 45.90/46.15 (define @t69 () (@var "I" Int)) % 45.90/46.15 (define @t70 () (@list @t69)) % 45.90/46.15 (define @t71 () (tptp.t2tb2 0)) % 45.90/46.15 (define @t72 () (tptp.some tptp.int @t71)) % 45.90/46.15 (define @t73 () (tptp.tb2t @t72)) % 45.90/46.15 (define @t74 () (@var "L" tptp.list_int)) % 45.90/46.15 (define @t75 () (tptp.t2tb1 @t74)) % 45.90/46.15 (define @t76 () (@var "J" Int)) % 45.90/46.15 (define @t77 () (tptp.tb2t (tptp.nth1 tptp.int @t76 @t75))) % 45.90/46.15 (define @t78 () (not (= @t77 @t73))) % 45.90/46.15 (define @t79 () (<= 0 @t76)) % 45.90/46.15 (define @t80 () (and @t79 (< @t76 @t69))) % 45.90/46.15 (define @t81 () (=> @t80 @t78)) % 45.90/46.15 (define @t82 () (@list @t76)) % 45.90/46.15 (define @t83 () (forall @t82 @t81)) % 45.90/46.15 (define @t84 () (= (tptp.tb2t (tptp.nth1 tptp.int @t69 @t75)) @t73)) % 45.90/46.15 (define @t85 () (and @t84 @t83)) % 45.90/46.15 (define @t86 () (tptp.zero_at1 @t74 @t69)) % 45.90/46.15 (define @t87 () (= @t86 @t85)) % 45.90/46.15 (define @t88 () (@list @t74 @t69)) % 45.90/46.15 (define @t89 () (forall @t88 @t87)) % 45.90/46.15 (define @t90 () (tptp.length1 tptp.int @t75)) % 45.90/46.15 (define @t91 () (tptp.no_zero1 @t74)) % 45.90/46.15 (define @t92 () (tptp.ref @t1)) % 45.90/46.15 (define @t93 () (and (= @t69 @t90) @t91)) % 45.90/46.15 (define @t94 () (<= 0 @t69)) % 45.90/46.15 (define @t95 () (and @t94 (< @t69 @t90) @t86)) % 45.90/46.15 (define @t96 () (or @t95 @t93)) % 45.90/46.15 (define @t97 () (@var "O" Int)) % 45.90/46.15 (define @t98 () (= @t97 0)) % 45.90/46.15 (define @t99 () (not @t98)) % 45.90/46.15 (define @t100 () (=> (not @t99) @t96)) % 45.90/46.15 (define @t101 () (= @t97 @t13)) % 45.90/46.15 (define @t102 () (@var "X1" tptp.list_int)) % 45.90/46.15 (define @t103 () (tptp.t2tb1 @t102)) % 45.90/46.15 (define @t104 () (@var "S" tptp.list_int)) % 45.90/46.15 (define @t105 () (= @t104 (tptp.tb2t1 (tptp.cons tptp.int @t67 @t103)))) % 45.90/46.15 (define @t106 () (and @t105 @t101)) % 45.90/46.15 (define @t107 () (@list @t13 @t102)) % 45.90/46.15 (define @t108 () (exists @t107 @t106)) % 45.90/46.15 (define @t109 () (=> @t108 @t100)) % 45.90/46.15 (define @t110 () (@list @t97)) % 45.90/46.15 (define @t111 () (forall @t110 @t109)) % 45.90/46.15 (define @t112 () (tptp.nil tptp.int)) % 45.90/46.15 (define @t113 () (tptp.tb2t1 @t112)) % 45.90/46.15 (define @t114 () (= @t104 @t113)) % 45.90/46.15 (define @t115 () (not @t114)) % 45.90/46.15 (define @t116 () (=> @t115 @t111)) % 45.90/46.15 (define @t117 () (=> @t115 @t116)) % 45.90/46.15 (define @t118 () (tptp.t2tb1 @t104)) % 45.90/46.15 (define @t119 () (tptp.tb2t (tptp.nth1 tptp.int @t76 @t118))) % 45.90/46.15 (define @t120 () (= @t119 (tptp.tb2t (tptp.nth1 tptp.int (+ @t69 @t76) @t75)))) % 45.90/46.15 (define @t121 () (=> @t79 @t120)) % 45.90/46.15 (define @t122 () (forall @t82 @t121)) % 45.90/46.15 (define @t123 () (tptp.length1 tptp.int @t118)) % 45.90/46.15 (define @t124 () (+ @t69 @t123)) % 45.90/46.15 (define @t125 () (= @t124 @t90)) % 45.90/46.15 (define @t126 () (and @t94 @t125 @t122 @t83)) % 45.90/46.15 (define @t127 () (=> @t126 @t117)) % 45.90/46.15 (define @t128 () (@list @t74 @t104 @t69)) % 45.90/46.15 (define @t129 () (forall @t128 @t127)) % 45.90/46.15 (define @t130 () (not @t129)) % 45.90/46.15 (define @t131 () (@var "BOUND_VARIABLE_8058" tptp.uni)) % 45.90/46.15 (define @t132 () (@var "BOUND_VARIABLE_8023" Int)) % 45.90/46.15 (define @t133 () (+ -1 @t132)) % 45.90/46.15 (define @t134 () (@var "BOUND_VARIABLE_8021" tptp.ty)) % 45.90/46.15 (define @t135 () (@var "BOUND_VARIABLE_8056" tptp.uni)) % 45.90/46.15 (define @t136 () (= (tptp.nth1 @t134 @t132 (tptp.cons @t134 @t135 @t131)) (tptp.nth1 @t134 @t133 @t131))) % 45.90/46.15 (define @t137 () (= @t132 0)) % 45.90/46.15 (define @t138 () (or @t137 @t136)) % 45.90/46.15 (define @t139 () (@list @t135 @t131)) % 45.90/46.15 (define @t140 () (forall @t139 @t138)) % 45.90/46.15 (define @t141 () (@list @t134 @t132)) % 45.90/46.15 (define @t142 () (forall @t139 @t136)) % 45.90/46.15 (define @t143 () (@var "BOUND_VARIABLE_7979" tptp.uni)) % 45.90/46.15 (define @t144 () (@var "BOUND_VARIABLE_7977" tptp.uni)) % 45.90/46.15 (define @t145 () (@list @t144 @t143)) % 45.90/46.15 (define @t146 () (or @t137 @t142)) % 45.90/46.15 (define @t147 () (@list @t144 @t143)) % 45.90/46.15 (define @t148 () (forall @t141 (or @t137 (forall @t147 (= (tptp.nth1 @t134 @t132 (tptp.cons @t134 @t144 @t143)) (tptp.nth1 @t134 @t133 @t143)))))) % 45.90/46.15 (define @t149 () (@var "BOUND_VARIABLE_8038" tptp.uni)) % 45.90/46.15 (define @t150 () (@var "BOUND_VARIABLE_8036" tptp.uni)) % 45.90/46.15 (define @t151 () (@var "BOUND_VARIABLE_8007" tptp.ty)) % 45.90/46.15 (define @t152 () (tptp.cons @t151 @t150 @t149)) % 45.90/46.15 (define @t153 () (tptp.some @t151 @t150)) % 45.90/46.15 (define @t154 () (= @t153 (tptp.nth1 @t151 0 @t152))) % 45.90/46.15 (define @t155 () (= 0 0)) % 45.90/46.15 (define @t156 () (not @t155)) % 45.90/46.15 (define @t157 () (or @t156 @t154)) % 45.90/46.15 (define @t158 () (@list @t151 @t150 @t149)) % 45.90/46.15 (define @t159 () (@var "BOUND_VARIABLE_8009" Int)) % 45.90/46.15 (define @t160 () (= @t153 (tptp.nth1 @t151 @t159 @t152))) % 45.90/46.15 (define @t161 () (not (= @t159 0))) % 45.90/46.15 (define @t162 () (or @t161 @t161 @t160)) % 45.90/46.15 (define @t163 () (@list @t159)) % 45.90/46.15 (define @t164 () (or @t161 @t160)) % 45.90/46.15 (define @t165 () (forall @t163 @t164)) % 45.90/46.15 (define @t166 () (forall @t158 @t165)) % 45.90/46.15 (define @t167 () (forall (@list @t151 @t150 @t149 @t159) @t164)) % 45.90/46.15 (define @t168 () (forall (@list @t151 @t159 @t150 @t149) @t164)) % 45.90/46.15 (define @t169 () (@list @t150 @t149)) % 45.90/46.15 (define @t170 () (forall @t169 @t164)) % 45.90/46.15 (define @t171 () (@list @t151 @t159)) % 45.90/46.15 (define @t172 () (forall @t169 @t160)) % 45.90/46.15 (define @t173 () (@var "BOUND_VARIABLE_7968" tptp.uni)) % 45.90/46.15 (define @t174 () (@var "BOUND_VARIABLE_7966" tptp.uni)) % 45.90/46.15 (define @t175 () (@list @t174 @t173)) % 45.90/46.15 (define @t176 () (or @t161 @t172)) % 45.90/46.15 (define @t177 () (@list @t174 @t173)) % 45.90/46.15 (define @t178 () (forall @t171 (or @t161 (forall @t177 (= (tptp.some @t151 @t174) (tptp.nth1 @t151 @t159 (tptp.cons @t151 @t174 @t173))))))) % 45.90/46.15 (define @t179 () (@var "BOUND_VARIABLE_7997" tptp.ty)) % 45.90/46.15 (define @t180 () (@var "BOUND_VARIABLE_7999" Int)) % 45.90/46.15 (define @t181 () (forall (@list @t179 @t180) (= (tptp.none @t179) (tptp.nth1 @t179 @t180 (tptp.nil @t179))))) % 45.90/46.15 (define @t182 () (+ -1 @t44)) % 45.90/46.15 (define @t183 () (= (tptp.nth1 @t1 @t44 (tptp.cons @t1 @t144 @t143)) (tptp.nth1 @t1 @t182 @t143))) % 45.90/46.15 (define @t184 () (or @t49 (forall @t147 @t183))) % 45.90/46.15 (define @t185 () (forall @t57 @t184)) % 45.90/46.15 (define @t186 () (@list @t1 @t44)) % 45.90/46.15 (define @t187 () (= (tptp.some @t1 @t174) (tptp.nth1 @t1 @t44 (tptp.cons @t1 @t174 @t173)))) % 45.90/46.15 (define @t188 () (or @t50 (forall @t177 @t187))) % 45.90/46.15 (define @t189 () (forall @t57 @t188)) % 45.90/46.15 (define @t190 () (= @t40 @t55)) % 45.90/46.15 (define @t191 () (forall @t57 @t190)) % 45.90/46.15 (define @t192 () (and @t191 @t189 @t185)) % 45.90/46.15 (define @t193 () (and @t190 @t188 @t184)) % 45.90/46.15 (define @t194 () (forall @t147 (or @t49 @t183))) % 45.90/46.15 (define @t195 () (forall @t177 (or @t50 @t187))) % 45.90/46.15 (define @t196 () (= @t47 (tptp.nth1 @t1 @t182 @t4))) % 45.90/46.15 (define @t197 () (or @t49 @t196)) % 45.90/46.15 (define @t198 () (forall @t32 @t197)) % 45.90/46.15 (define @t199 () (@list @t16 @t4)) % 45.90/46.15 (define @t200 () (= @t42 @t47)) % 45.90/46.15 (define @t201 () (or @t50 @t200)) % 45.90/46.15 (define @t202 () (forall @t32 @t201)) % 45.90/46.15 (define @t203 () (and @t202 @t198)) % 45.90/46.15 (define @t204 () (and (=> @t49 @t200) (=> @t50 @t196))) % 45.90/46.15 (define @t205 () (* -1 1)) % 45.90/46.15 (define @t206 () (+ @t44 @t205)) % 45.90/46.15 (define @t207 () (@var "BOUND_VARIABLE_8271" tptp.list_int)) % 45.90/46.15 (define @t208 () (tptp.tb2t1 (tptp.cons tptp.int @t71 (tptp.t2tb1 @t207)))) % 45.90/46.15 (define @t209 () (tptp.t2tb1 @t208)) % 45.90/46.15 (define @t210 () (tptp.length1 tptp.int @t209)) % 45.90/46.15 (define @t211 () (and (= @t210 0) @t91)) % 45.90/46.15 (define @t212 () (* -1 @t210)) % 45.90/46.15 (define @t213 () (+ @t90 @t212)) % 45.90/46.15 (define @t214 () (>= @t213 0)) % 45.90/46.15 (define @t215 () (and @t214 (>= @t210 1) (tptp.zero_at1 @t74 @t213))) % 45.90/46.15 (define @t216 () (= @t113 @t208)) % 45.90/46.15 (define @t217 () (not (= @t73 @t77))) % 45.90/46.15 (define @t218 () (* -1 @t90)) % 45.90/46.15 (define @t219 () (>= @t76 0)) % 45.90/46.15 (define @t220 () (not @t219)) % 45.90/46.15 (define @t221 () (not (forall @t82 (or @t220 (>= (+ @t76 @t218 @t210) 0) @t217)))) % 45.90/46.15 (define @t222 () (not (forall @t82 (or @t220 (= (tptp.tb2t (tptp.nth1 tptp.int @t76 @t209)) (tptp.tb2t (tptp.nth1 tptp.int (+ @t76 @t90 @t212) @t75))))))) % 45.90/46.15 (define @t223 () (not @t214)) % 45.90/46.15 (define @t224 () (or @t223 @t222 @t221 @t216 @t215 @t211)) % 45.90/46.15 (define @t225 () (@list @t74 @t207)) % 45.90/46.15 (define @t226 () (forall @t225 @t224)) % 45.90/46.15 (define @t227 () (tptp.t2tb1 (@quantifiers_skolemize @t226 1))) % 45.90/46.15 (define @t228 () (@list tptp.int @t71 @t227)) % 45.90/46.15 (define @t229 () (tptp.cons tptp.int @t71 @t227)) % 45.90/46.15 (define @t230 () (* -1 @t76)) % 45.90/46.15 (define @t231 () (+ @t69 @t230)) % 45.90/46.15 (define @t232 () (>= @t231 1)) % 45.90/46.15 (define @t233 () (not @t232)) % 45.90/46.15 (define @t234 () (or @t220 @t233 @t217)) % 45.90/46.15 (define @t235 () (and @t219 @t232)) % 45.90/46.15 (define @t236 () (+ @t231 1)) % 45.90/46.15 (define @t237 () (>= @t76 @t69)) % 45.90/46.15 (define @t238 () (@quantifiers_skolemize @t226 0)) % 45.90/46.15 (define @t239 () (tptp.t2tb1 @t238)) % 45.90/46.15 (define @t240 () (not (= @t73 (tptp.tb2t (tptp.nth1 tptp.int @t76 @t239))))) % 45.90/46.15 (define @t241 () (tptp.tb2t1 @t229)) % 45.90/46.15 (define @t242 () (tptp.t2tb1 @t241)) % 45.90/46.15 (define @t243 () (tptp.length1 tptp.int @t242)) % 45.90/46.15 (define @t244 () (tptp.length1 tptp.int @t239)) % 45.90/46.15 (define @t245 () (+ @t76 (* -1 @t244) @t243)) % 45.90/46.15 (define @t246 () (>= @t245 0)) % 45.90/46.15 (define @t247 () (* -1 @t243)) % 45.90/46.15 (define @t248 () (+ @t230 @t244 @t247)) % 45.90/46.15 (define @t249 () (+ @t245 1)) % 45.90/46.15 (define @t250 () (+ @t247 @t244 @t230)) % 45.90/46.15 (define @t251 () (+ @t244 @t247)) % 45.90/46.15 (define @t252 () (+ @t251 @t230)) % 45.90/46.15 (define @t253 () (>= @t252 1)) % 45.90/46.15 (define @t254 () (not @t253)) % 45.90/46.15 (define @t255 () (or @t220 @t254 @t240)) % 45.90/46.15 (define @t256 () (forall @t82 @t255)) % 45.90/46.15 (define @t257 () (tptp.tb2t (tptp.nth1 tptp.int @t251 @t239))) % 45.90/46.15 (define @t258 () (and (= @t257 @t73) @t256)) % 45.90/46.15 (define @t259 () (tptp.zero_at1 @t238 @t251)) % 45.90/46.15 (define @t260 () (= @t259 @t258)) % 45.90/46.15 (define @t261 () (forall @t82 @t234)) % 45.90/46.15 (define @t262 () (forall @t88 (= @t86 (and @t84 @t261)))) % 45.90/46.15 (define @t263 () (forall @t82 (or @t220 @t246 @t240))) % 45.90/46.15 (define @t264 () (= @t73 @t257)) % 45.90/46.15 (define @t265 () (and @t264 @t263)) % 45.90/46.15 (define @t266 () (= @t259 @t265)) % 45.90/46.15 (define @t267 () (@list false)) % 45.90/46.15 (define @t268 () (@list tptp.int @t242)) % 45.90/46.15 (define @t269 () (= @t112 @t242)) % 45.90/46.15 (define @t270 () (= @t243 0)) % 45.90/46.15 (define @t271 () (= @t270 @t269)) % 45.90/46.15 (define @t272 () (not @t270)) % 45.90/46.15 (define @t273 () (@list true false)) % 45.90/46.15 (define @t274 () (not (= @t208 @t208))) % 45.90/46.15 (define @t275 () (or @t223 @t222 @t221 (= @t208 @t113) @t215 @t211 @t274)) % 45.90/46.15 (define @t276 () (not (= @t104 @t208))) % 45.90/46.15 (define @t277 () (= @t123 0)) % 45.90/46.15 (define @t278 () (and @t277 @t91)) % 45.90/46.15 (define @t279 () (* -1 @t123)) % 45.90/46.15 (define @t280 () (+ @t90 @t279)) % 45.90/46.15 (define @t281 () (tptp.zero_at1 @t74 @t280)) % 45.90/46.15 (define @t282 () (>= @t123 1)) % 45.90/46.15 (define @t283 () (>= @t280 0)) % 45.90/46.15 (define @t284 () (and @t283 @t282 @t281)) % 45.90/46.15 (define @t285 () (+ @t76 @t218 @t123)) % 45.90/46.15 (define @t286 () (>= @t285 0)) % 45.90/46.15 (define @t287 () (not (forall @t82 (or @t220 @t286 @t217)))) % 45.90/46.15 (define @t288 () (+ @t76 @t90 @t279)) % 45.90/46.15 (define @t289 () (not (forall @t82 (or @t220 (= @t119 (tptp.tb2t (tptp.nth1 tptp.int @t288 @t75))))))) % 45.90/46.15 (define @t290 () (not @t283)) % 45.90/46.15 (define @t291 () (or @t276 @t290 @t289 @t287 @t114 @t284 @t278 @t276)) % 45.90/46.15 (define @t292 () (@list @t104)) % 45.90/46.15 (define @t293 () (or @t290 @t289 @t287 @t114 @t284 @t278 @t276)) % 45.90/46.15 (define @t294 () (forall @t292 @t293)) % 45.90/46.15 (define @t295 () (forall @t225 @t294)) % 45.90/46.15 (define @t296 () (forall (@list @t74 @t207 @t104) @t293)) % 45.90/46.15 (define @t297 () (@list @t74 @t104 @t207)) % 45.90/46.15 (define @t298 () (= @t280 @t90)) % 45.90/46.15 (define @t299 () (and @t298 @t91)) % 45.90/46.15 (define @t300 () (+ @t123 1)) % 45.90/46.15 (define @t301 () (+ @t279 @t218 @t90)) % 45.90/46.15 (define @t302 () (+ @t280 @t218)) % 45.90/46.15 (define @t303 () (>= @t302 0)) % 45.90/46.15 (define @t304 () (not @t303)) % 45.90/46.15 (define @t305 () (and @t283 @t304 @t281)) % 45.90/46.15 (define @t306 () (+ @t230 @t90 @t279)) % 45.90/46.15 (define @t307 () (+ @t285 1)) % 45.90/46.15 (define @t308 () (+ @t279 @t230 @t90)) % 45.90/46.15 (define @t309 () (+ @t280 @t230)) % 45.90/46.15 (define @t310 () (>= @t309 1)) % 45.90/46.15 (define @t311 () (not @t310)) % 45.90/46.15 (define @t312 () (or @t220 @t311 @t217)) % 45.90/46.15 (define @t313 () (forall @t82 @t312)) % 45.90/46.15 (define @t314 () (not @t313)) % 45.90/46.15 (define @t315 () (+ @t279 @t90 @t76)) % 45.90/46.15 (define @t316 () (+ @t280 @t76)) % 45.90/46.15 (define @t317 () (tptp.nth1 tptp.int @t316 @t75)) % 45.90/46.15 (define @t318 () (tptp.tb2t @t317)) % 45.90/46.15 (define @t319 () (= @t119 @t318)) % 45.90/46.15 (define @t320 () (or @t220 @t319)) % 45.90/46.15 (define @t321 () (forall @t82 @t320)) % 45.90/46.15 (define @t322 () (not @t321)) % 45.90/46.15 (define @t323 () (not (= @t280 @t280))) % 45.90/46.15 (define @t324 () (or @t290 @t323 @t322 @t314 @t114 @t305 @t299 @t276)) % 45.90/46.15 (define @t325 () (+ @t69 @t218)) % 45.90/46.15 (define @t326 () (>= @t325 0)) % 45.90/46.15 (define @t327 () (>= @t69 0)) % 45.90/46.15 (define @t328 () (and @t327 (not @t326) @t86)) % 45.90/46.15 (define @t329 () (not @t261)) % 45.90/46.15 (define @t330 () (forall @t82 (or @t220 @t120))) % 45.90/46.15 (define @t331 () (not @t330)) % 45.90/46.15 (define @t332 () (= @t69 @t280)) % 45.90/46.15 (define @t333 () (not @t332)) % 45.90/46.15 (define @t334 () (not @t327)) % 45.90/46.15 (define @t335 () (or @t333 @t334 @t333 @t331 @t329 @t114 @t328 @t93 @t276)) % 45.90/46.15 (define @t336 () (or @t334 @t333 @t331 @t329 @t114 @t328 @t93 @t276)) % 45.90/46.15 (define @t337 () (forall @t70 @t336)) % 45.90/46.15 (define @t338 () (forall @t297 @t337)) % 45.90/46.15 (define @t339 () (forall (@list @t74 @t104 @t207 @t69) @t336)) % 45.90/46.15 (define @t340 () (forall (@list @t74 @t104 @t69 @t207) @t336)) % 45.90/46.15 (define @t341 () (@list @t207)) % 45.90/46.15 (define @t342 () (forall @t341 @t336)) % 45.90/46.15 (define @t343 () (forall @t341 @t276)) % 45.90/46.15 (define @t344 () (@var "BOUND_VARIABLE_8238" tptp.list_int)) % 45.90/46.15 (define @t345 () (@list @t344)) % 45.90/46.15 (define @t346 () (or @t334 @t333 @t331 @t329 @t114 @t328 @t93 @t343)) % 45.90/46.15 (define @t347 () (tptp.t2tb1 @t344)) % 45.90/46.15 (define @t348 () (not (= @t104 (tptp.tb2t1 (tptp.cons tptp.int @t71 @t347))))) % 45.90/46.15 (define @t349 () (@list @t344)) % 45.90/46.15 (define @t350 () (forall @t349 @t348)) % 45.90/46.15 (define @t351 () (or @t334 @t333 @t331 @t329 @t114 @t328 @t93 @t350)) % 45.90/46.15 (define @t352 () (or @t114 @t328 @t93 @t350)) % 45.90/46.15 (define @t353 () (or @t334 @t333 @t331 @t329)) % 45.90/46.15 (define @t354 () (or @t328 @t93 @t350)) % 45.90/46.15 (define @t355 () (not @t115)) % 45.90/46.15 (define @t356 () (=> @t115 @t354)) % 45.90/46.15 (define @t357 () (=> @t115 @t356)) % 45.90/46.15 (define @t358 () (and @t327 @t332 @t330 @t261)) % 45.90/46.15 (define @t359 () (or @t348 @t156)) % 45.90/46.15 (define @t360 () (tptp.t2tb2 @t97)) % 45.90/46.15 (define @t361 () (not (= @t104 (tptp.tb2t1 (tptp.cons tptp.int @t360 @t347))))) % 45.90/46.15 (define @t362 () (or @t99 @t361 @t99)) % 45.90/46.15 (define @t363 () (or @t361 @t99)) % 45.90/46.15 (define @t364 () (forall @t110 @t363)) % 45.90/46.15 (define @t365 () (forall @t349 @t364)) % 45.90/46.15 (define @t366 () (forall (@list @t344 @t97) @t363)) % 45.90/46.15 (define @t367 () (forall (@list @t97 @t344) @t363)) % 45.90/46.15 (define @t368 () (forall @t349 @t363)) % 45.90/46.15 (define @t369 () (forall @t349 @t361)) % 45.90/46.15 (define @t370 () (or @t369 @t99)) % 45.90/46.15 (define @t371 () (not (= @t104 (tptp.tb2t1 (tptp.cons tptp.int @t360 @t103))))) % 45.90/46.15 (define @t372 () (@list @t102)) % 45.90/46.15 (define @t373 () (forall @t372 @t371)) % 45.90/46.15 (define @t374 () (or @t373 @t99)) % 45.90/46.15 (define @t375 () (forall @t110 @t374)) % 45.90/46.15 (define @t376 () (or @t328 @t93 @t375)) % 45.90/46.15 (define @t377 () (or @t328 @t93 @t374)) % 45.90/46.15 (define @t378 () (or @t373 @t99 @t328 @t93)) % 45.90/46.15 (define @t379 () (or @t99 @t328 @t93)) % 45.90/46.15 (define @t380 () (or @t328 @t93)) % 45.90/46.15 (define @t381 () (=> @t98 @t380)) % 45.90/46.15 (define @t382 () (not @t373)) % 45.90/46.15 (define @t383 () (>= @t69 @t90)) % 45.90/46.15 (define @t384 () (not (= @t97 @t97))) % 45.90/46.15 (define @t385 () (or @t371 @t384)) % 45.90/46.15 (define @t386 () (= @t13 @t97)) % 45.90/46.15 (define @t387 () (not @t386)) % 45.90/46.15 (define @t388 () (not @t105)) % 45.90/46.15 (define @t389 () (or @t387 @t388 @t387)) % 45.90/46.15 (define @t390 () (or @t388 @t387)) % 45.90/46.15 (define @t391 () (forall @t68 @t390)) % 45.90/46.15 (define @t392 () (forall @t372 @t391)) % 45.90/46.15 (define @t393 () (forall (@list @t102 @t13) @t390)) % 45.90/46.15 (define @t394 () (and @t105 @t386)) % 45.90/46.15 (define @t395 () (forall @t107 (not @t394))) % 45.90/46.15 (define @t396 () (not @t395)) % 45.90/46.15 (define @t397 () (>= @t243 1)) % 45.90/46.15 (define @t398 () (>= @t251 0)) % 45.90/46.15 (define @t399 () (and @t398 @t397 @t259)) % 45.90/46.15 (define @t400 () (not @t263)) % 45.90/46.15 (define @t401 () (forall @t82 (or @t220 (= (tptp.tb2t (tptp.nth1 tptp.int @t76 @t242)) (tptp.tb2t (tptp.nth1 tptp.int (+ @t76 @t244 @t247) @t239)))))) % 45.90/46.15 (define @t402 () (not @t401)) % 45.90/46.15 (define @t403 () (not @t398)) % 45.90/46.15 (define @t404 () (or @t403 @t402 @t400 (= @t113 @t241) @t399 (and @t270 (tptp.no_zero1 @t238)))) % 45.90/46.15 (define @t405 () (@list true)) % 45.90/46.15 (define @t406 () (@list @t404)) % 45.90/46.15 (define @t407 () (not @t259)) % 45.90/46.15 (define @t408 () (not @t265)) % 45.90/46.15 (define @t409 () (not @t264)) % 45.90/46.15 (define @t410 () (tptp.nth1 tptp.int 0 @t242)) % 45.90/46.15 (define @t411 () (tptp.tb2t @t410)) % 45.90/46.15 (define @t412 () (= @t257 @t411)) % 45.90/46.15 (define @t413 () (+ 0 @t244 @t247)) % 45.90/46.15 (define @t414 () (tptp.nth1 tptp.int @t413 @t239)) % 45.90/46.15 (define @t415 () (tptp.tb2t @t414)) % 45.90/46.15 (define @t416 () (= @t411 @t415)) % 45.90/46.15 (define @t417 () (>= 0 0)) % 45.90/46.15 (define @t418 () (not @t417)) % 45.90/46.15 (define @t419 () (or @t418 @t416)) % 45.90/46.15 (define @t420 () (not @t412)) % 45.90/46.15 (define @t421 () (= @t229 @t242)) % 45.90/46.15 (define @t422 () (not @t421)) % 45.90/46.15 (define @t423 () (= @t72 (tptp.nth1 tptp.int 0 @t229))) % 45.90/46.15 (define @t424 () (not @t423)) % 45.90/46.15 (define @t425 () (= @t411 @t257)) % 45.90/46.15 (define @t426 () (not @t425)) % 45.90/46.15 (define @t427 () (and @t412 @t420)) % 45.90/46.15 (assume @p1 (forall @t2 (tptp.sort1 @t1 (tptp.witness1 @t1)))) % 45.90/46.15 (assume @p2 (forall (@list @t1 @t5 @t4 @t3) (tptp.sort1 @t1 (tptp.match_bool1 @t1 @t5 @t4 @t3)))) % 45.90/46.15 (assume @p3 (forall @t8 (=> (tptp.sort1 @t1 @t6) (= (tptp.match_bool1 @t1 tptp.true1 @t6 @t7) @t6)))) % 45.90/46.15 (assume @p4 (forall @t8 (=> (tptp.sort1 @t1 @t7) (= (tptp.match_bool1 @t1 tptp.false1 @t6 @t7) @t7)))) % 45.90/46.15 (assume @p5 (not (= tptp.true1 tptp.false1))) % 45.90/46.15 (assume @p6 (forall (@list @t9) (or (= @t9 tptp.true1) (= @t9 tptp.false1)))) % 45.90/46.15 (assume @p7 (forall (@list @t10) (= @t10 tptp.tuple03))) % 45.90/46.15 (assume @p8 (forall (@list @t13 @t12 @t11) (=> (<= @t13 @t12) (=> (<= 0 @t11) (<= (* @t13 @t11) (* @t12 @t11)))))) % 45.90/46.15 (assume @p9 (forall @t2 (tptp.sort1 @t15 @t14))) % 45.90/46.15 (assume @p10 (forall (@list @t1 @t16 @t4) (tptp.sort1 @t15 @t17))) % 45.90/46.15 (assume @p11 (forall @t19 (tptp.sort1 @t18 (tptp.match_list1 @t18 @t1 @t16 @t4 @t3)))) % 45.90/46.15 (assume @p12 (forall @t21 (=> @t20 (= (tptp.match_list1 @t18 @t1 @t14 @t6 @t7) @t6)))) % 45.90/46.15 (assume @p13 (forall (@list @t1 @t18 @t6 @t7 @t23 @t22) (=> @t25 (= (tptp.match_list1 @t18 @t1 @t24 @t6 @t7) @t7)))) % 45.90/46.15 (assume @p14 (forall (@list @t1 @t27 @t26) (not (= @t14 (tptp.cons @t1 @t27 @t26))))) % 45.90/46.15 (assume @p15 (forall @t28 (tptp.sort1 @t1 (tptp.cons_proj_11 @t1 @t16)))) % 45.90/46.15 (assume @p16 (forall @t30 (=> @t29 (= (tptp.cons_proj_11 @t1 @t24) @t23)))) % 45.90/46.15 (assume @p17 (forall @t28 (tptp.sort1 @t15 (tptp.cons_proj_21 @t1 @t16)))) % 45.90/46.15 (assume @p18 (forall @t30 (= (tptp.cons_proj_21 @t1 @t24) @t22))) % 45.90/46.15 (assume @p19 (forall @t31 (or (= @t23 @t14) (= @t23 (tptp.cons @t1 (tptp.cons_proj_11 @t1 @t23) (tptp.cons_proj_21 @t1 @t23)))))) % 45.90/46.15 (assume @p20 (forall @t2 (and (= (tptp.length1 @t1 @t14) 0) (forall @t32 (= (tptp.length1 @t1 @t17) (+ 1 (tptp.length1 @t1 @t4))))))) % 45.90/46.15 (assume @p21 @t36) % 45.90/46.15 (assume @p22 @t39) % 45.90/46.15 (assume @p23 (forall @t2 (tptp.sort1 @t41 @t40))) % 45.90/46.15 (assume @p24 (forall @t28 (tptp.sort1 @t41 @t42))) % 45.90/46.15 (assume @p25 (forall @t19 (tptp.sort1 @t18 (tptp.match_option1 @t18 @t1 @t16 @t4 @t3)))) % 45.90/46.15 (assume @p26 (forall @t21 (=> @t20 (= (tptp.match_option1 @t18 @t1 @t40 @t6 @t7) @t6)))) % 45.90/46.15 (assume @p27 (forall (@list @t1 @t18 @t6 @t7 @t23) (=> @t25 (= (tptp.match_option1 @t18 @t1 @t43 @t6 @t7) @t7)))) % 45.90/46.15 (assume @p28 (forall (@list @t1 @t27) (not (= @t40 (tptp.some @t1 @t27))))) % 45.90/46.15 (assume @p29 (forall @t28 (tptp.sort1 @t1 (tptp.some_proj_11 @t1 @t16)))) % 45.90/46.15 (assume @p30 (forall @t31 (=> @t29 (= (tptp.some_proj_11 @t1 @t43) @t23)))) % 45.90/46.15 (assume @p31 (forall @t31 (=> (tptp.sort1 @t41 @t23) (or (= @t23 @t40) (= @t23 (tptp.some @t1 (tptp.some_proj_11 @t1 @t23))))))) % 45.90/46.15 (assume @p32 (forall (@list @t1 @t13 @t4) (tptp.sort1 @t41 (tptp.nth1 @t1 @t13 @t4)))) % 45.90/46.15 (assume @p33 @t58) % 45.90/46.15 (assume @p34 (forall (@list @t59) (tptp.sort1 (tptp.option tptp.int) (tptp.t2tb @t59)))) % 45.90/46.15 (assume @p35 (forall (@list @t60) (= (tptp.tb2t (tptp.t2tb @t60)) @t60))) % 45.90/46.15 (assume @p36 (forall @t62 (= (tptp.t2tb (tptp.tb2t @t61)) @t61))) % 45.90/46.15 (assume @p37 (forall (@list @t63) (tptp.sort1 (tptp.list tptp.int) (tptp.t2tb1 @t63)))) % 45.90/46.15 (assume @p38 (forall (@list @t64) (= (tptp.tb2t1 (tptp.t2tb1 @t64)) @t64))) % 45.90/46.15 (assume @p39 @t66) % 45.90/46.15 (assume @p40 (forall @t68 (tptp.sort1 tptp.int @t67))) % 45.90/46.15 (assume @p41 (forall @t70 (= (tptp.tb2t2 (tptp.t2tb2 @t69)) @t69))) % 45.90/46.15 (assume @p42 (forall @t62 (= (tptp.t2tb2 (tptp.tb2t2 @t61)) @t61))) % 45.90/46.15 (assume @p43 @t89) % 45.90/46.15 (assume @p44 (forall (@list @t74) (= @t91 (forall @t82 (=> (and @t79 (< @t76 @t90)) @t78))))) % 45.90/46.15 (assume @p45 (forall @t28 (tptp.sort1 @t92 (tptp.mk_ref @t1 @t16)))) % 45.90/46.15 (assume @p46 (forall @t28 (tptp.sort1 @t1 (tptp.contents @t1 @t16)))) % 45.90/46.15 (assume @p47 (forall @t31 (=> @t29 (= (tptp.contents @t1 (tptp.mk_ref @t1 @t23)) @t23)))) % 45.90/46.15 (assume @p48 (forall @t31 (=> (tptp.sort1 @t92 @t23) (= @t23 (tptp.mk_ref @t1 (tptp.contents @t1 @t23)))))) % 45.90/46.15 (assume @p49 (forall @t28 (tptp.sort1 @t41 (tptp.hd @t1 @t16)))) % 45.90/46.15 (assume @p50 (forall @t2 (and (= (tptp.hd @t1 @t14) @t40) (forall @t32 (= (tptp.hd @t1 @t17) @t42))))) % 45.90/46.15 (assume @p51 (forall @t28 (tptp.sort1 (tptp.option @t15) (tptp.tl @t1 @t16)))) % 45.90/46.15 (assume @p52 (forall @t2 (and (= (tptp.tl @t1 @t14) (tptp.none @t15)) (forall @t32 (= (tptp.tl @t1 @t17) (tptp.some @t15 @t4)))))) % 45.90/46.15 (assume @p53 @t130) % 45.90/46.15 (assume @p54 true) % 45.90/46.15 (step @p55 :rule quant-merge-prenex :args ((= (forall @t141 @t140) (forall (@list @t134 @t132 @t135 @t131) @t138)))) % 45.90/46.15 (step @p56 :rule alpha_equiv :args (@t142 (@list @t135 @t131) @t145)) % 45.90/46.15 (step @p57 :rule refl :args (@t137)) % 45.90/46.15 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t146)) % 45.90/46.15 (step @p59 :rule quant-miniscope-or :args ((= @t140 @t146))) % 45.90/46.15 (step @p60 :rule trans :premises (@p59 @p58)) % 45.90/46.15 (step @p61 :rule symm :premises (@p60)) % 45.90/46.15 (step @p62 :rule cong :premises (@p61) :args (@t148)) % 45.90/46.15 (step @p63 :rule trans :premises (@p62 @p55)) % 45.90/46.15 (step @p64 :rule aci_norm :args ((= (or false @t154) @t154))) % 45.90/46.15 (step @p65 :rule refl :args (@t154)) % 45.90/46.15 (step @p66 :rule evaluate :args ((not true))) % 45.90/46.15 (step @p67 :rule evaluate :args (@t155)) % 45.90/46.15 (step @p68 :rule cong :premises (@p67) :args (@t156)) % 45.90/46.15 (step @p69 :rule trans :premises (@p68 @p66)) % 45.90/46.15 (step @p70 :rule nary_cong :premises (@p69 @p65) :args (@t157)) % 45.90/46.15 (step @p71 :rule trans :premises (@p70 @p64)) % 45.90/46.15 (step @p72 :rule cong :premises (@p71) :args ((forall @t158 @t157))) % 45.90/46.15 (step @p73 :rule quant-var-elim-eq :args ((= (forall @t163 @t162) @t157))) % 45.90/46.15 (step @p74 :rule aci_norm :args ((= @t164 @t162))) % 45.90/46.15 (step @p75 :rule cong :premises (@p74) :args (@t165)) % 45.90/46.15 (step @p76 :rule trans :premises (@p75 @p73)) % 45.90/46.15 (step @p77 :rule cong :premises (@p76) :args (@t166)) % 45.90/46.15 (step @p78 :rule quant-merge-prenex :args ((= @t166 @t167))) % 45.90/46.15 (step @p79 :rule symm :premises (@p78)) % 45.90/46.15 (step @p80 :rule quant_var_reordering :args ((= @t168 @t167))) % 45.90/46.15 (step @p81 :rule trans :premises (@p80 @p79 @p77)) % 45.90/46.15 (step @p82 :rule trans :premises (@p81 @p72)) % 45.90/46.15 (step @p83 :rule quant-merge-prenex :args ((= (forall @t171 @t170) @t168))) % 45.90/46.15 (step @p84 :rule alpha_equiv :args (@t172 (@list @t150 @t149) @t175)) % 45.90/46.15 (step @p85 :rule refl :args (@t161)) % 45.90/46.15 (step @p86 :rule nary_cong :premises (@p85 @p84) :args (@t176)) % 45.90/46.15 (step @p87 :rule quant-miniscope-or :args ((= @t170 @t176))) % 45.90/46.15 (step @p88 :rule trans :premises (@p87 @p86)) % 45.90/46.15 (step @p89 :rule symm :premises (@p88)) % 45.90/46.15 (step @p90 :rule cong :premises (@p89) :args (@t178)) % 45.90/46.15 (step @p91 :rule trans :premises (@p90 @p83)) % 45.90/46.15 (step @p92 :rule trans :premises (@p91 @p82)) % 45.90/46.15 (step @p93 :rule refl :args (@t181)) % 45.90/46.15 (step @p94 :rule nary_cong :premises (@p93 @p92 @p63) :args ((and @t181 @t178 @t148))) % 45.90/46.15 (step @p95 :rule alpha_equiv :args (@t185 @t186 (@list @t134 @t132))) % 45.90/46.15 (step @p96 :rule alpha_equiv :args (@t189 @t186 (@list @t151 @t159))) % 45.90/46.15 (step @p97 :rule alpha_equiv :args (@t191 @t186 (@list @t179 @t180))) % 45.90/46.15 (step @p98 :rule nary_cong :premises (@p97 @p96 @p95) :args (@t192)) % 45.90/46.15 (step @p99 :rule quant-miniscope-and :args ((= (forall @t57 @t193) @t192))) % 45.90/46.15 (step @p100 :rule trans :premises (@p99 @p98)) % 45.90/46.15 (step @p101 :rule trans :premises (@p100 @p94)) % 45.90/46.15 (step @p102 :rule aci_norm :args ((= (and @t190 (and @t188 @t184)) @t193))) % 45.90/46.15 (step @p103 :rule quant-miniscope-or :args ((= @t194 @t184))) % 45.90/46.15 (step @p104 :rule quant-miniscope-or :args ((= @t195 @t188))) % 45.90/46.15 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((and @t195 @t194))) % 45.90/46.15 (step @p106 :rule alpha_equiv :args (@t198 @t199 @t145)) % 45.90/46.15 (step @p107 :rule alpha_equiv :args (@t202 @t199 @t175)) % 45.90/46.15 (step @p108 :rule nary_cong :premises (@p107 @p106) :args (@t203)) % 45.90/46.15 (step @p109 :rule quant-miniscope-and :args ((= (forall @t32 (and @t201 @t197)) @t203))) % 45.90/46.15 (step @p110 :rule trans :premises (@p109 @p108)) % 45.90/46.15 (step @p111 :rule trans :premises (@p110 @p105)) % 45.90/46.15 (step @p112 :rule refl :args (@t196)) % 45.90/46.15 (step @p113 :rule bool-double-not-elim :args (@t49)) % 45.90/46.15 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or (not @t50) @t196))) % 45.90/46.15 (step @p115 :rule bool-impl-elim :args (@t50 @t196)) % 45.90/46.15 (step @p116 :rule trans :premises (@p115 @p114)) % 45.90/46.15 (step @p117 :rule bool-impl-elim :args (@t49 @t200)) % 45.90/46.15 (step @p118 :rule nary_cong :premises (@p117 @p116) :args (@t204)) % 45.90/46.15 (step @p119 :rule cong :premises (@p118) :args ((forall @t32 @t204))) % 45.90/46.15 (step @p120 :rule trans :premises (@p119 @p111)) % 45.90/46.15 (step @p121 :rule refl :args (@t4)) % 45.90/46.15 (step @p122 :rule arith_poly_norm :args ((= (+ @t44 -1) @t182))) % 45.90/46.15 (step @p123 :rule evaluate :args (@t205)) % 45.90/46.15 (step @p124 :rule refl :args (@t44)) % 45.90/46.15 (step @p125 :rule nary_cong :premises (@p124 @p123) :args (@t206)) % 45.90/46.15 (step @p126 :rule trans :premises (@p125 @p122)) % 45.90/46.15 (step @p127 :rule arith_poly_norm :args ((= @t45 @t206))) % 45.90/46.15 (step @p128 :rule trans :premises (@p127 @p126)) % 45.90/46.15 (step @p129 :rule refl :args (@t1)) % 45.90/46.15 (step @p130 :rule cong :premises (@p129 @p128 @p121) :args (@t46)) % 45.90/46.15 (step @p131 :rule refl :args (@t47)) % 45.90/46.15 (step @p132 :rule cong :premises (@p131 @p130) :args (@t48)) % 45.90/46.15 (step @p133 :rule refl :args (@t50)) % 45.90/46.15 (step @p134 :rule cong :premises (@p133 @p132) :args (@t51)) % 45.90/46.15 (step @p135 :rule eq-symm :args (@t47 @t42)) % 45.90/46.15 (step @p136 :rule refl :args (@t49)) % 45.90/46.15 (step @p137 :rule cong :premises (@p136 @p135) :args (@t52)) % 45.90/46.15 (step @p138 :rule nary_cong :premises (@p137 @p134) :args (@t53)) % 45.90/46.15 (step @p139 :rule cong :premises (@p138) :args (@t54)) % 45.90/46.15 (step @p140 :rule trans :premises (@p139 @p120)) % 45.90/46.15 (step @p141 :rule eq-symm :args (@t55 @t40)) % 45.90/46.15 (step @p142 :rule nary_cong :premises (@p141 @p140) :args (@t56)) % 45.90/46.15 (step @p143 :rule trans :premises (@p142 @p102)) % 45.90/46.15 (step @p144 :rule cong :premises (@p143) :args (@t58)) % 45.90/46.15 (step @p145 :rule trans :premises (@p144 @p101)) % 45.90/46.15 (step @p146 :rule eq_resolve :premises (@p33 @p145)) % 45.90/46.15 (step @p147 :rule and_elim :premises (@p146) :args (1)) % 45.90/46.15 (step @p148 :rule instantiate :premises (@p147) :args (@t228)) % 45.90/46.15 (step @p149 :rule eq-symm :args (@t65 @t61)) % 45.90/46.15 (step @p150 :rule cong :premises (@p149) :args (@t66)) % 45.90/46.15 (step @p151 :rule eq_resolve :premises (@p39 @p150)) % 45.90/46.15 (step @p152 :rule instantiate :premises (@p151) :args ((@list @t229))) % 45.90/46.15 (step @p153 :rule aci_norm :args ((= (or (or @t220 @t233) @t217) @t234))) % 45.90/46.15 (step @p154 :rule refl :args (@t217)) % 45.90/46.15 (step @p155 :rule bool-and-de-morgan :args (@t219 @t232 true)) % 45.90/46.15 (step @p156 :rule nary_cong :premises (@p155 @p154) :args ((or (not @t235) @t217))) % 45.90/46.15 (step @p157 :rule trans :premises (@p156 @p153)) % 45.90/46.15 (step @p158 :rule bool-impl-elim :args (@t235 @t217)) % 45.90/46.15 (step @p159 :rule trans :premises (@p158 @p157)) % 45.90/46.15 (step @p160 :rule cong :premises (@p159) :args ((forall @t82 (=> @t235 @t217)))) % 45.90/46.15 (step @p161 :rule eq-symm :args (@t77 @t73)) % 45.90/46.15 (step @p162 :rule cong :premises (@p161) :args (@t78)) % 45.90/46.15 (step @p163 :rule bool-double-not-elim :args (@t232)) % 45.90/46.15 (step @p164 :rule arith_poly_norm :args ((= (* -1 (- 1 @t236)) (* -1 (- @t76 @t69))))) % 45.90/46.15 (step @p165 :rule arith_poly_norm_rel :premises (@p164) :args ((= (>= 1 @t236) @t237))) % 45.90/46.15 (step @p166 :rule arith-geq-tighten :args (@t231 1)) % 45.90/46.15 (step @p167 :rule trans :premises (@p166 @p165)) % 45.90/46.15 (step @p168 :rule symm :premises (@p167)) % 45.90/46.15 (step @p169 :rule cong :premises (@p168) :args ((not @t237))) % 45.90/46.15 (step @p170 :rule trans :premises (@p169 @p163)) % 45.90/46.15 (step @p171 :rule arith-elim-lt :args (@t76 @t69)) % 45.90/46.15 (step @p172 :rule trans :premises (@p171 @p170)) % 45.90/46.15 (step @p173 :rule arith-elim-leq :args (0 @t76)) % 45.90/46.15 (step @p174 :rule nary_cong :premises (@p173 @p172) :args (@t80)) % 45.90/46.15 (step @p175 :rule cong :premises (@p174 @p162) :args (@t81)) % 45.90/46.15 (step @p176 :rule cong :premises (@p175) :args (@t83)) % 45.90/46.15 (step @p177 :rule trans :premises (@p176 @p160)) % 45.90/46.15 (step @p178 :rule refl :args (@t84)) % 45.90/46.15 (step @p179 :rule nary_cong :premises (@p178 @p177) :args (@t85)) % 45.90/46.15 (step @p180 :rule refl :args (@t86)) % 45.90/46.15 (step @p181 :rule cong :premises (@p180 @p179) :args (@t87)) % 45.90/46.15 (step @p182 :rule cong :premises (@p181) :args (@t89)) % 45.90/46.15 (step @p183 :rule eq_resolve :premises (@p43 @p182)) % 45.90/46.15 (step @p184 :rule refl :args (@t240)) % 45.90/46.15 (step @p185 :rule bool-double-not-elim :args (@t246)) % 45.90/46.15 (step @p186 :rule arith_poly_norm :args ((= (* -1 (- 0 @t249)) (* -1 (- @t248 1))))) % 45.90/46.15 (step @p187 :rule arith_poly_norm_rel :premises (@p186) :args ((= (>= 0 @t249) (>= @t248 1)))) % 45.90/46.15 (step @p188 :rule arith-geq-tighten :args (@t245 0)) % 45.90/46.15 (step @p189 :rule trans :premises (@p188 @p187)) % 45.90/46.15 (step @p190 :rule symm :premises (@p189)) % 45.90/46.15 (step @p191 :rule refl :args (1)) % 45.90/46.15 (step @p192 :rule arith_poly_norm :args ((= @t250 @t248))) % 45.90/46.15 (step @p193 :rule arith_poly_norm :args ((= @t252 @t250))) % 45.90/46.15 (step @p194 :rule trans :premises (@p193 @p192)) % 45.90/46.15 (step @p195 :rule cong :premises (@p194 @p191) :args (@t253)) % 45.90/46.15 (step @p196 :rule trans :premises (@p195 @p190)) % 45.90/46.15 (step @p197 :rule cong :premises (@p196) :args (@t254)) % 45.90/46.15 (step @p198 :rule trans :premises (@p197 @p185)) % 45.90/46.15 (step @p199 :rule refl :args (@t220)) % 45.90/46.15 (step @p200 :rule nary_cong :premises (@p199 @p198 @p184) :args (@t255)) % 45.90/46.15 (step @p201 :rule cong :premises (@p200) :args (@t256)) % 45.90/46.15 (step @p202 :rule eq-symm :args (@t257 @t73)) % 45.90/46.15 (step @p203 :rule nary_cong :premises (@p202 @p201) :args (@t258)) % 45.90/46.15 (step @p204 :rule refl :args (@t259)) % 45.90/46.15 (step @p205 :rule cong :premises (@p204 @p203) :args (@t260)) % 45.90/46.15 (step @p206 :rule refl :args (@t262)) % 45.90/46.15 (step @p207 :rule cong :premises (@p206 @p205) :args ((=> @t262 @t260))) % 45.90/46.15 (assume-push @p588 @t262) % 45.90/46.15 (step @p209 :rule instantiate :premises (@p183) :args ((@list @t238 @t251))) % 45.90/46.15 (step-pop @p589 :rule scope :premises (@p209)) % 45.90/46.15 (step @p210 :rule process_scope :premises (@p589) :args (@t260)) % 45.90/46.15 (step @p212 :rule eq_resolve :premises (@p210 @p207)) % 45.90/46.15 (step @p213 :rule implies_elim :premises (@p212)) % 45.90/46.15 (step @p214 :rule chain_m_resolution :premises (@p213 @p183) :args (@t266 @t267 (@list @t262))) % 45.90/46.15 (step @p215 :rule eq-symm :args (@t33 @t14)) % 45.90/46.15 (step @p216 :rule refl :args (@t37)) % 45.90/46.15 (step @p217 :rule cong :premises (@p216 @p215) :args (@t38)) % 45.90/46.15 (step @p218 :rule cong :premises (@p217) :args (@t39)) % 45.90/46.15 (step @p219 :rule eq_resolve :premises (@p22 @p218)) % 45.90/46.15 (step @p220 :rule instantiate :premises (@p219) :args (@t268)) % 45.90/46.15 (step @p221 :rule instantiate :premises (@p14) :args (@t228)) % 45.90/46.15 (step @p222 :rule false_intro :premises (@p221)) % 45.90/46.15 (step @p223 :rule symm :premises (@p152)) % 45.90/46.15 (step @p224 :rule refl :args (@t112)) % 45.90/46.15 (step @p225 :rule cong :premises (@p224 @p223) :args (@t269)) % 45.90/46.15 (step @p226 :rule trans :premises (@p225 @p222)) % 45.90/46.15 (step @p227 :rule false_elim :premises (@p226)) % 45.90/46.15 (step @p228 :rule cnf_equiv_pos1 :args (@t271)) % 45.90/46.15 (step @p229 :rule reordering :premises (@p228) :args ((or @t272 @t269 (not @t271)))) % 45.90/46.15 (step @p230 :rule chain_m_resolution :premises (@p229 @p227 @p220) :args (@t272 @t273 (@list @t269 @t271))) % 45.90/46.15 (step @p231 :rule arith-elim-leq :args (0 @t34)) % 45.90/46.15 (step @p232 :rule cong :premises (@p231) :args (@t36)) % 45.90/46.15 (step @p233 :rule eq_resolve :premises (@p21 @p232)) % 45.90/46.15 (step @p234 :rule instantiate :premises (@p233) :args (@t268)) % 45.90/46.15 (step @p235 :rule arith_trichotomy :premises (@p234 @p230)) % 45.90/46.15 (step @p236 :rule int_tight_lb :premises (@p235)) % 45.90/46.15 (step @p237 :rule aci_norm :args ((= (or @t223 @t222 @t221 @t216 @t215 @t211 false) @t224))) % 45.90/46.15 (step @p238 :rule eq-refl :args (@t208)) % 45.90/46.15 (step @p239 :rule cong :premises (@p238) :args (@t274)) % 45.90/46.15 (step @p240 :rule trans :premises (@p239 @p66)) % 45.90/46.15 (step @p241 :rule refl :args (@t211)) % 45.90/46.15 (step @p242 :rule refl :args (@t215)) % 45.90/46.15 (step @p243 :rule eq-symm :args (@t208 @t113)) % 45.90/46.15 (step @p244 :rule refl :args (@t221)) % 45.90/46.15 (step @p245 :rule refl :args (@t222)) % 45.90/46.15 (step @p246 :rule refl :args (@t223)) % 45.90/46.15 (step @p247 :rule nary_cong :premises (@p246 @p245 @p244 @p243 @p242 @p241 @p240) :args (@t275)) % 45.90/46.15 (step @p248 :rule trans :premises (@p247 @p237)) % 45.90/46.15 (step @p249 :rule cong :premises (@p248) :args ((forall @t225 @t275))) % 45.90/46.15 (step @p250 :rule quant-var-elim-eq :args ((= (forall @t292 @t291) @t275))) % 45.90/46.15 (step @p251 :rule aci_norm :args ((= @t293 @t291))) % 45.90/46.15 (step @p252 :rule cong :premises (@p251) :args (@t294)) % 45.90/46.15 (step @p253 :rule trans :premises (@p252 @p250)) % 45.90/46.15 (step @p254 :rule cong :premises (@p253) :args (@t295)) % 45.90/46.15 (step @p255 :rule quant-merge-prenex :args ((= @t295 @t296))) % 45.90/46.15 (step @p256 :rule symm :premises (@p255)) % 45.90/46.15 (step @p257 :rule quant_var_reordering :args ((= (forall @t297 @t293) @t296))) % 45.90/46.15 (step @p258 :rule trans :premises (@p257 @p256 @p254)) % 45.90/46.15 (step @p259 :rule trans :premises (@p258 @p249)) % 45.90/46.15 (step @p260 :rule aci_norm :args ((= (or @t290 false @t289 @t287 @t114 @t284 @t278 @t276) @t293))) % 45.90/46.15 (step @p261 :rule refl :args (@t276)) % 45.90/46.15 (step @p262 :rule refl :args (@t91)) % 45.90/46.15 (step @p263 :rule arith_poly_norm :args ((= (* 1 (- @t280 @t90)) (* -1 (- @t123 0))))) % 45.90/46.15 (step @p264 :rule arith_poly_norm_rel :premises (@p263) :args ((= @t298 @t277))) % 45.90/46.15 (step @p265 :rule nary_cong :premises (@p264 @p262) :args (@t299)) % 45.90/46.15 (step @p266 :rule refl :args (@t281)) % 45.90/46.15 (step @p267 :rule bool-double-not-elim :args (@t282)) % 45.90/46.15 (step @p268 :rule arith_poly_norm :args ((= (* -1 (- 1 @t300)) (* -1 (- @t279 0))))) % 45.90/46.15 (step @p269 :rule arith_poly_norm_rel :premises (@p268) :args ((= (>= 1 @t300) (>= @t279 0)))) % 45.90/46.15 (step @p270 :rule arith-geq-tighten :args (@t123 1)) % 45.90/46.15 (step @p271 :rule trans :premises (@p270 @p269)) % 45.90/46.15 (step @p272 :rule symm :premises (@p271)) % 45.90/46.15 (step @p273 :rule refl :args (0)) % 45.90/46.15 (step @p274 :rule arith_poly_norm :args ((= @t301 @t279))) % 45.90/46.15 (step @p275 :rule arith_poly_norm :args ((= @t302 @t301))) % 45.90/46.15 (step @p276 :rule trans :premises (@p275 @p274)) % 45.90/46.15 (step @p277 :rule cong :premises (@p276 @p273) :args (@t303)) % 45.90/46.15 (step @p278 :rule trans :premises (@p277 @p272)) % 45.90/46.15 (step @p279 :rule cong :premises (@p278) :args (@t304)) % 45.90/46.15 (step @p280 :rule trans :premises (@p279 @p267)) % 45.90/46.15 (step @p281 :rule refl :args (@t283)) % 45.90/46.15 (step @p282 :rule nary_cong :premises (@p281 @p280 @p266) :args (@t305)) % 45.90/46.15 (step @p283 :rule refl :args (@t114)) % 45.90/46.15 (step @p284 :rule refl :args (@t217)) % 45.90/46.15 (step @p285 :rule bool-double-not-elim :args (@t286)) % 45.90/46.15 (step @p286 :rule arith_poly_norm :args ((= (* -1 (- 0 @t307)) (* -1 (- @t306 1))))) % 45.90/46.15 (step @p287 :rule arith_poly_norm_rel :premises (@p286) :args ((= (>= 0 @t307) (>= @t306 1)))) % 45.90/46.15 (step @p288 :rule arith-geq-tighten :args (@t285 0)) % 45.90/46.15 (step @p289 :rule trans :premises (@p288 @p287)) % 45.90/46.15 (step @p290 :rule symm :premises (@p289)) % 45.90/46.15 (step @p291 :rule arith_poly_norm :args ((= @t308 @t306))) % 45.90/46.15 (step @p292 :rule arith_poly_norm :args ((= @t309 @t308))) % 45.90/46.15 (step @p293 :rule trans :premises (@p292 @p291)) % 45.90/46.15 (step @p294 :rule cong :premises (@p293 @p191) :args (@t310)) % 45.90/46.15 (step @p295 :rule trans :premises (@p294 @p290)) % 45.90/46.15 (step @p296 :rule cong :premises (@p295) :args (@t311)) % 45.90/46.15 (step @p297 :rule trans :premises (@p296 @p285)) % 45.90/46.15 (step @p298 :rule nary_cong :premises (@p199 @p297 @p284) :args (@t312)) % 45.90/46.15 (step @p299 :rule cong :premises (@p298) :args (@t313)) % 45.90/46.15 (step @p300 :rule cong :premises (@p299) :args (@t314)) % 45.90/46.15 (step @p301 :rule refl :args (@t75)) % 45.90/46.15 (step @p302 :rule arith_poly_norm :args ((= @t315 @t288))) % 45.90/46.15 (step @p303 :rule arith_poly_norm :args ((= @t316 @t315))) % 45.90/46.15 (step @p304 :rule trans :premises (@p303 @p302)) % 45.90/46.15 (step @p305 :rule refl :args (tptp.int)) % 45.90/46.15 (step @p306 :rule cong :premises (@p305 @p304 @p301) :args (@t317)) % 45.90/46.15 (step @p307 :rule cong :premises (@p306) :args (@t318)) % 45.90/46.15 (step @p308 :rule refl :args (@t119)) % 45.90/46.15 (step @p309 :rule cong :premises (@p308 @p307) :args (@t319)) % 45.90/46.15 (step @p310 :rule nary_cong :premises (@p199 @p309) :args (@t320)) % 45.90/46.15 (step @p311 :rule cong :premises (@p310) :args (@t321)) % 45.90/46.15 (step @p312 :rule cong :premises (@p311) :args (@t322)) % 45.90/46.15 (step @p313 :rule eq-refl :args (@t280)) % 45.90/46.15 (step @p314 :rule cong :premises (@p313) :args (@t323)) % 45.90/46.15 (step @p315 :rule trans :premises (@p314 @p66)) % 45.90/46.15 (step @p316 :rule refl :args (@t290)) % 45.90/46.15 (step @p317 :rule nary_cong :premises (@p316 @p315 @p312 @p300 @p283 @p282 @p265 @p261) :args (@t324)) % 45.90/46.15 (step @p318 :rule trans :premises (@p317 @p260)) % 45.90/46.15 (step @p319 :rule cong :premises (@p318) :args ((forall @t297 @t324))) % 45.90/46.15 (step @p320 :rule trans :premises (@p319 @p259)) % 45.90/46.15 (step @p321 :rule quant-var-elim-eq :args ((= (forall @t70 @t335) @t324))) % 45.90/46.15 (step @p322 :rule aci_norm :args ((= @t336 @t335))) % 45.90/46.15 (step @p323 :rule cong 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45.90/46.15 (step @p339 :rule refl :args (@t334)) % 45.90/46.15 (step @p340 :rule nary_cong :premises (@p339 @p338 @p337 @p336 @p335 @p334 @p333 @p332) :args (@t346)) % 45.90/46.15 (step @p341 :rule quant-miniscope-or :args ((= @t342 @t346))) % 45.90/46.15 (step @p342 :rule trans :premises (@p341 @p340)) % 45.90/46.15 (step @p343 :rule symm :premises (@p342)) % 45.90/46.15 (step @p344 :rule cong :premises (@p343) :args ((forall @t128 @t351))) % 45.90/46.15 (step @p345 :rule trans :premises (@p344 @p331)) % 45.90/46.15 (step @p346 :rule trans :premises (@p345 @p330)) % 45.90/46.15 (step @p347 :rule aci_norm :args ((= (or @t353 @t352) @t351))) % 45.90/46.15 (step @p348 :rule aci_norm :args ((= (or @t114 @t352) @t352))) % 45.90/46.15 (step @p349 :rule aci_norm :args ((= (or @t114 @t354) @t352))) % 45.90/46.15 (step @p350 :rule refl :args (@t354)) % 45.90/46.15 (step @p351 :rule bool-double-not-elim :args (@t114)) % 45.90/46.15 (step @p352 :rule nary_cong :premises (@p351 @p350) :args ((or 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45.90/46.15 (step @p366 :rule bool-and-de-morgan :args (@t332 @t330 (and @t261))) % 45.90/46.15 (step @p367 :rule trans :premises (@p366 @p365)) % 45.90/46.15 (step @p368 :rule nary_cong :premises (@p339 @p367) :args ((or @t334 (not (and @t332 @t330 @t261))))) % 45.90/46.15 (step @p369 :rule bool-and-de-morgan :args (@t327 @t332 (and @t330 @t261))) % 45.90/46.15 (step @p370 :rule trans :premises (@p369 @p368)) % 45.90/46.15 (step @p371 :rule trans :premises (@p370 @p363)) % 45.90/46.15 (step @p372 :rule nary_cong :premises (@p371 @p362) :args ((or (not @t358) @t357))) % 45.90/46.15 (step @p373 :rule trans :premises (@p372 @p347)) % 45.90/46.15 (step @p374 :rule bool-impl-elim :args (@t358 @t357)) % 45.90/46.15 (step @p375 :rule trans :premises (@p374 @p373)) % 45.90/46.15 (step @p376 :rule cong :premises (@p375) :args ((forall @t128 (=> @t358 @t357)))) % 45.90/46.15 (step @p377 :rule trans :premises (@p376 @p346)) % 45.90/46.15 (step @p378 :rule aci_norm :args ((= (or @t348 false) @t348))) % 45.90/46.15 (step @p379 :rule refl :args (@t348)) % 45.90/46.15 (step @p380 :rule nary_cong :premises (@p379 @p69) :args (@t359)) % 45.90/46.15 (step @p381 :rule trans :premises (@p380 @p378)) % 45.90/46.15 (step @p382 :rule cong :premises (@p381) :args ((forall @t349 @t359))) % 45.90/46.15 (step @p383 :rule quant-var-elim-eq :args ((= (forall @t110 @t362) @t359))) % 45.90/46.15 (step @p384 :rule aci_norm :args ((= @t363 @t362))) % 45.90/46.15 (step @p385 :rule cong :premises (@p384) :args (@t364)) % 45.90/46.15 (step @p386 :rule trans :premises (@p385 @p383)) % 45.90/46.15 (step @p387 :rule cong :premises (@p386) :args (@t365)) % 45.90/46.15 (step @p388 :rule quant-merge-prenex :args ((= @t365 @t366))) % 45.90/46.15 (step @p389 :rule symm :premises (@p388)) % 45.90/46.15 (step @p390 :rule quant_var_reordering :args ((= @t367 @t366))) % 45.90/46.15 (step @p391 :rule trans :premises (@p390 @p389 @p387)) % 45.90/46.15 (step @p392 :rule trans :premises (@p391 @p382)) % 45.90/46.15 (step @p393 :rule quant-merge-prenex :args ((= (forall @t110 @t368) @t367))) % 45.90/46.15 (step @p394 :rule refl :args (@t99)) % 45.90/46.15 (step @p395 :rule alpha_equiv :args (@t369 @t345 (@list @t102))) % 45.90/46.15 (step @p396 :rule nary_cong :premises (@p395 @p394) :args (@t370)) % 45.90/46.15 (step @p397 :rule quant-miniscope-or :args ((= @t368 @t370))) % 45.90/46.15 (step @p398 :rule trans :premises (@p397 @p396)) % 45.90/46.15 (step @p399 :rule symm :premises (@p398)) % 45.90/46.15 (step @p400 :rule cong :premises (@p399) :args (@t375)) % 45.90/46.15 (step @p401 :rule trans :premises (@p400 @p393)) % 45.90/46.15 (step @p402 :rule trans :premises (@p401 @p392)) % 45.90/46.15 (step @p403 :rule refl :args (@t93)) % 45.90/46.15 (step @p404 :rule refl :args (@t328)) % 45.90/46.15 (step @p405 :rule nary_cong :premises (@p404 @p403 @p402) :args (@t376)) % 45.90/46.15 (step @p406 :rule quant-miniscope-or :args ((= (forall @t110 @t377) @t376))) % 45.90/46.15 (step @p407 :rule aci_norm :args ((= @t378 @t377))) % 45.90/46.15 (step @p408 :rule cong :premises (@p407) :args ((forall @t110 @t378))) % 45.90/46.15 (step @p409 :rule trans :premises (@p408 @p406)) % 45.90/46.15 (step @p410 :rule trans :premises (@p409 @p405)) % 45.90/46.15 (step @p411 :rule aci_norm :args ((= (or @t373 @t379) @t378))) % 45.90/46.15 (step @p412 :rule aci_norm :args ((= (or @t99 @t380) @t379))) % 45.90/46.15 (step @p413 :rule bool-impl-elim :args (@t98 @t380)) % 45.90/46.15 (step @p414 :rule trans :premises (@p413 @p412)) % 45.90/46.15 (step @p415 :rule refl :args (@t373)) % 45.90/46.15 (step @p416 :rule nary_cong :premises (@p415 @p414) :args ((or @t373 @t381))) % 45.90/46.15 (step @p417 :rule trans :premises (@p416 @p411)) % 45.90/46.15 (step @p418 :rule refl :args (@t381)) % 45.90/46.15 (step @p419 :rule bool-double-not-elim :args (@t373)) % 45.90/46.15 (step @p420 :rule nary_cong :premises (@p419 @p418) :args ((or (not @t382) @t381))) % 45.90/46.15 (step @p421 :rule bool-impl-elim :args (@t382 @t381)) % 45.90/46.15 (step @p422 :rule trans :premises (@p421 @p420)) % 45.90/46.15 (step @p423 :rule trans :premises (@p422 @p417)) % 45.90/46.15 (step @p424 :rule cong :premises (@p423) :args ((forall @t110 (=> @t382 @t381)))) % 45.90/46.15 (step @p425 :rule trans :premises (@p424 @p410)) % 45.90/46.15 (step @p426 :rule arith_poly_norm :args ((= (* 1 (- @t69 @t90)) (* 1 (- @t325 0))))) % 45.90/46.15 (step @p427 :rule arith_poly_norm_rel :premises (@p426) :args ((= @t383 @t326))) % 45.90/46.15 (step @p428 :rule cong :premises (@p427) :args ((not @t383))) % 45.90/46.15 (step @p429 :rule arith-elim-lt :args (@t69 @t90)) % 45.90/46.15 (step @p430 :rule trans :premises (@p429 @p428)) % 45.90/46.15 (step @p431 :rule arith-elim-leq :args (0 @t69)) % 45.90/46.15 (step @p432 :rule nary_cong :premises (@p431 @p430 @p180) :args (@t95)) % 45.90/46.15 (step @p433 :rule nary_cong :premises (@p432 @p403) :args (@t96)) % 45.90/46.15 (step @p434 :rule bool-double-not-elim :args (@t98)) % 45.90/46.15 (step @p435 :rule cong :premises (@p434 @p433) :args (@t100)) % 45.90/46.15 (step @p436 :rule aci_norm :args ((= (or @t371 false) @t371))) % 45.90/46.15 (step @p437 :rule eq-refl :args (@t97)) % 45.90/46.15 (step @p438 :rule cong :premises (@p437) :args (@t384)) % 45.90/46.15 (step @p439 :rule trans :premises (@p438 @p66)) % 45.90/46.15 (step @p440 :rule refl :args (@t371)) % 45.90/46.15 (step @p441 :rule nary_cong :premises (@p440 @p439) :args (@t385)) % 45.90/46.15 (step @p442 :rule trans :premises (@p441 @p436)) % 45.90/46.15 (step @p443 :rule cong :premises (@p442) :args ((forall @t372 @t385))) % 45.90/46.15 (step @p444 :rule quant-var-elim-eq :args ((= (forall @t68 @t389) @t385))) % 45.90/46.15 (step @p445 :rule aci_norm :args ((= @t390 @t389))) % 45.90/46.15 (step @p446 :rule cong :premises (@p445) :args (@t391)) % 45.90/46.15 (step @p447 :rule trans :premises (@p446 @p444)) % 45.90/46.15 (step @p448 :rule cong :premises (@p447) :args (@t392)) % 45.90/46.15 (step @p449 :rule quant-merge-prenex :args ((= @t392 @t393))) % 45.90/46.15 (step @p450 :rule symm :premises (@p449)) % 45.90/46.15 (step @p451 :rule quant_var_reordering :args ((= (forall @t107 @t390) @t393))) % 45.90/46.15 (step @p452 :rule trans :premises (@p451 @p450 @p448)) % 45.90/46.15 (step @p453 :rule trans :premises (@p452 @p443)) % 45.90/46.15 (step @p454 :rule bool-and-de-morgan :args (@t105 @t386 true)) % 45.90/46.15 (step @p455 :rule cong :premises (@p454) :args (@t395)) % 45.90/46.15 (step @p456 :rule trans :premises (@p455 @p453)) % 45.90/46.15 (step @p457 :rule cong :premises (@p456) :args (@t396)) % 45.90/46.15 (step @p458 :rule exists-elim :args ((= (exists @t107 @t394) @t396))) % 45.90/46.15 (step @p459 :rule trans :premises (@p458 @p457)) % 45.90/46.15 (step @p460 :rule arith_poly_norm :args ((= (* 1 (- @t97 @t13)) (* -1 (- @t13 @t97))))) % 45.90/46.15 (step @p461 :rule arith_poly_norm_rel :premises (@p460) :args ((= @t101 @t386))) % 45.90/46.15 (step @p462 :rule refl :args (@t105)) % 45.90/46.15 (step @p463 :rule nary_cong :premises (@p462 @p461) :args (@t106)) % 45.90/46.15 (step @p464 :rule cong :premises (@p463) :args (@t108)) % 45.90/46.15 (step @p465 :rule trans :premises (@p464 @p459)) % 45.90/46.15 (step @p466 :rule cong :premises (@p465 @p435) :args (@t109)) % 45.90/46.15 (step @p467 :rule cong :premises (@p466) :args (@t111)) % 45.90/46.15 (step @p468 :rule trans :premises (@p467 @p425)) % 45.90/46.15 (step @p469 :rule refl :args (@t115)) % 45.90/46.15 (step @p470 :rule cong :premises (@p469 @p468) :args (@t116)) % 45.90/46.15 (step @p471 :rule cong :premises (@p469 @p470) :args (@t117)) % 45.90/46.15 (step @p472 :rule bool-impl-elim :args (@t219 @t120)) % 45.90/46.15 (step @p473 :rule cong :premises (@p472) :args ((forall @t82 (=> @t219 @t120)))) % 45.90/46.15 (step @p474 :rule refl :args (@t120)) % 45.90/46.15 (step @p475 :rule cong :premises (@p173 @p474) :args (@t121)) % 45.90/46.15 (step @p476 :rule cong :premises (@p475) :args (@t122)) % 45.90/46.15 (step @p477 :rule trans :premises (@p476 @p473)) % 45.90/46.15 (step @p478 :rule arith_poly_norm :args ((= (* 1 (- @t124 @t90)) (* 1 (- @t69 @t280))))) % 45.90/46.15 (step @p479 :rule arith_poly_norm_rel :premises (@p478) :args ((= @t125 @t332))) % 45.90/46.15 (step @p480 :rule nary_cong :premises (@p431 @p479 @p477 @p177) :args (@t126)) % 45.90/46.15 (step @p481 :rule cong :premises (@p480 @p471) :args (@t127)) % 45.90/46.15 (step @p482 :rule cong :premises (@p481) :args (@t129)) % 45.90/46.15 (step @p483 :rule trans :premises (@p482 @p377)) % 45.90/46.15 (step @p484 :rule cong :premises (@p483) :args (@t130)) % 45.90/46.15 (step @p485 :rule eq_resolve :premises (@p53 @p484)) % 45.90/46.15 (step @p486 :rule skolemize :premises (@p485)) % 45.90/46.15 (step @p487 :rule cnf_or_neg :args (@t404 4)) % 45.90/46.15 (step @p488 :rule chain_m_resolution :premises (@p487 @p486) :args ((not @t399) @t405 @t406)) % 45.90/46.15 (step @p489 :rule bool-double-not-elim :args (@t398)) % 45.90/46.15 (step @p490 :rule refl :args (@t404)) % 45.90/46.15 (step @p491 :rule nary_cong :premises (@p490 @p489) :args ((or @t404 (not @t403)))) % 45.90/46.15 (step @p492 :rule cnf_or_neg :args (@t404 0)) % 45.90/46.15 (step @p493 :rule eq_resolve :premises (@p492 @p491)) % 45.90/46.15 (step @p494 :rule reordering :premises (@p493) :args ((or @t398 @t404))) % 45.90/46.15 (step @p495 :rule chain_m_resolution :premises (@p494 @p486) :args (@t398 @t405 @t406)) % 45.90/46.15 (step @p496 :rule cnf_and_neg :args (@t399)) % 45.90/46.15 (step @p497 :rule reordering :premises (@p496) :args ((or @t403 @t399 (not @t397) @t407))) % 45.90/46.15 (step @p498 :rule chain_m_resolution :premises (@p497 @p495 @p488 @p236) :args (@t407 (@list false true false) (@list @t398 @t399 @t397))) % 45.90/46.15 (step @p499 :rule cnf_equiv_pos2 :args (@t266)) % 45.90/46.15 (step @p500 :rule reordering :premises (@p499) :args ((or @t259 @t408 (not @t266)))) % 45.90/46.15 (step @p501 :rule chain_m_resolution :premises (@p500 @p498 @p214) :args (@t408 @t273 (@list @t259 @t266))) % 45.90/46.15 (step @p502 :rule bool-double-not-elim :args (@t263)) % 45.90/46.15 (step @p503 :rule nary_cong :premises (@p490 @p502) :args ((or @t404 (not @t400)))) % 45.90/46.15 (step @p504 :rule cnf_or_neg :args (@t404 2)) % 45.90/46.15 (step @p505 :rule eq_resolve :premises (@p504 @p503)) % 45.90/46.15 (step @p506 :rule reordering :premises (@p505) :args ((or @t263 @t404))) % 45.90/46.15 (step @p507 :rule chain_m_resolution :premises (@p506 @p486) :args (@t263 @t405 @t406)) % 45.90/46.15 (step @p508 :rule cnf_and_neg :args (@t265)) % 45.90/46.15 (step @p509 :rule reordering :premises (@p508) :args ((or @t400 @t265 @t409))) % 45.90/46.15 (step @p510 :rule chain_m_resolution :premises (@p509 @p507 @p501) :args (@t409 (@list false true) (@list @t263 @t265))) % 45.90/46.15 (step @p511 :rule bool-double-not-elim :args (@t401)) % 45.90/46.15 (step @p512 :rule nary_cong :premises (@p490 @p511) :args ((or @t404 (not @t402)))) % 45.90/46.15 (step @p513 :rule cnf_or_neg :args (@t404 1)) % 45.90/46.15 (step @p514 :rule eq_resolve :premises (@p513 @p512)) % 45.90/46.15 (step @p515 :rule reordering :premises (@p514) :args ((or @t401 @t404))) % 45.90/46.15 (step @p516 :rule chain_m_resolution :premises (@p515 @p486) :args (@t401 @t405 @t406)) % 45.90/46.15 (step @p517 :rule aci_norm :args ((= (or false @t412) @t412))) % 45.90/46.15 (step @p518 :rule eq-symm :args (@t411 @t257)) % 45.90/46.15 (step @p519 :rule refl :args (@t239)) % 45.90/46.15 (step @p520 :rule arith_poly_norm :args ((= @t413 @t251))) % 45.90/46.15 (step @p521 :rule cong :premises (@p305 @p520 @p519) :args (@t414)) % 45.90/46.15 (step @p522 :rule cong :premises (@p521) :args (@t415)) % 45.90/46.15 (step @p523 :rule refl :args (@t411)) % 45.90/46.15 (step @p524 :rule cong :premises (@p523 @p522) :args (@t416)) % 45.90/46.15 (step @p525 :rule trans :premises (@p524 @p518)) % 45.90/46.15 (step @p526 :rule evaluate :args (@t417)) % 45.90/46.15 (step @p527 :rule cong :premises (@p526) :args (@t418)) % 45.90/46.15 (step @p528 :rule trans :premises (@p527 @p66)) % 45.90/46.15 (step @p529 :rule nary_cong :premises (@p528 @p525) :args (@t419)) % 45.90/46.15 (step @p530 :rule trans :premises (@p529 @p517)) % 45.90/46.15 (step @p531 :rule refl :args (@t401)) % 45.90/46.15 (step @p532 :rule cong :premises (@p531 @p530) :args ((=> @t401 @t419))) % 45.90/46.15 (assume-push @p590 @t401) % 45.90/46.15 (step @p534 :rule instantiate :premises (@p516) :args ((@list 0))) % 45.90/46.15 (step-pop @p591 :rule scope :premises (@p534)) % 45.90/46.15 (step @p535 :rule process_scope :premises (@p591) :args (@t419)) % 45.90/46.15 (step @p537 :rule eq_resolve :premises (@p535 @p532)) % 45.90/46.15 (step @p538 :rule implies_elim :premises (@p537)) % 45.90/46.15 (step @p539 :rule chain_m_resolution :premises (@p538 @p516) :args (@t412 @t267 (@list @t401))) % 45.90/46.15 (step @p540 :rule refl :args (@t420)) % 45.90/46.15 (step @p541 :rule bool-double-not-elim :args (@t264)) % 45.90/46.15 (step @p542 :rule refl :args (@t422)) % 45.90/46.15 (step @p543 :rule refl :args (@t424)) % 45.90/46.15 (step @p544 :rule nary_cong :premises (@p543 @p542 @p541 @p540) :args ((or @t424 @t422 (not @t409) @t420))) % 45.90/46.15 (assume-push @p592 @t412) % 45.90/46.15 (assume-push @p593 @t420) % 45.90/46.15 (step @p547 :rule evaluate :args ((= false true))) % 45.90/46.15 (step @p548 :rule true_intro :premises (@p539)) % 45.90/46.15 (step @p549 :rule bool-eq-false :args (@t412)) % 45.90/46.15 (step @p550 :rule symm :premises (@p549)) % 45.90/46.15 (step @p551 :rule cong :premises (@p518) :args (@t426)) % 45.90/46.15 (step @p552 :rule bool-eq-false :args (@t425)) % 45.90/46.15 (step @p553 :rule trans :premises (@p552 @p551)) % 45.90/46.15 (step @p554 :rule trans :premises (@p553 @p550)) % 45.90/46.15 (step @p555 :rule false_intro :premises (@p510)) % 45.90/46.15 (step @p556 :rule refl :args (@t257)) % 45.90/46.15 (step @p557 :rule symm :premises (@p148)) % 45.90/46.15 (step @p558 :rule cong :premises (@p305 @p273 @p223) :args (@t410)) % 45.90/46.15 (step @p559 :rule trans :premises (@p558 @p557)) % 45.90/46.15 (step @p560 :rule cong :premises (@p559) :args (@t411)) % 45.90/46.15 (step @p561 :rule cong :premises (@p560 @p556) :args (@t425)) % 45.90/46.15 (step @p562 :rule trans :premises (@p561 @p555)) % 45.90/46.15 (step @p563 :rule eq_resolve :premises (@p562 @p554)) % 45.90/46.15 (step @p564 :rule symm :premises (@p563)) % 45.90/46.15 (step @p565 :rule trans :premises (@p564 @p548)) % 45.90/46.15 (step @p566 false :rule eq_resolve :premises (@p565 @p547)) % 45.90/46.15 (step-pop @p594 :rule scope :premises (@p566)) % 45.90/46.15 (step-pop @p595 :rule scope :premises (@p594)) % 45.90/46.15 (step @p567 :rule process_scope :premises (@p595) :args (false)) % 45.90/46.15 (assume-push @p596 @t423) % 45.90/46.15 (assume-push @p597 @t421) % 45.90/46.15 (assume-push @p598 @t409) % 45.90/46.15 (assume-push @p599 @t412) % 45.90/46.15 (step @p549 :rule bool-eq-false :args (@t412)) % 45.90/46.15 (step @p550 :rule symm :premises (@p549)) % 45.90/46.15 (step @p551 :rule cong :premises (@p518) :args (@t426)) % 45.90/46.15 (step @p552 :rule bool-eq-false :args (@t425)) % 45.90/46.15 (step @p553 :rule trans :premises (@p552 @p551)) % 45.90/46.15 (step @p554 :rule trans :premises (@p553 @p550)) % 45.90/46.15 (step @p555 :rule false_intro :premises (@p510)) % 45.90/46.15 (step @p556 :rule refl :args (@t257)) % 45.90/46.15 (step @p557 :rule symm :premises (@p148)) % 45.90/46.15 (step @p558 :rule cong :premises (@p305 @p273 @p223) :args (@t410)) % 45.90/46.15 (step @p559 :rule trans :premises (@p558 @p557)) % 45.90/46.15 (step @p560 :rule cong :premises (@p559) :args (@t411)) % 45.90/46.15 (step @p561 :rule cong :premises (@p560 @p556) :args (@t425)) % 45.90/46.15 (step @p562 :rule trans :premises (@p561 @p555)) % 45.90/46.15 (step @p574 :rule eq_resolve :premises (@p562 @p554)) % 45.90/46.15 (step @p575 :rule false_elim :premises (@p574)) % 45.90/46.15 (step @p576 :rule and_intro :premises (@p539 @p575)) % 45.90/46.15 (step-pop @p600 :rule scope :premises (@p576)) % 45.90/46.15 (step-pop @p601 :rule scope :premises (@p600)) % 45.90/46.15 (step-pop @p602 :rule scope :premises (@p601)) % 45.90/46.15 (step-pop @p603 :rule scope :premises (@p602)) % 45.90/46.15 (step @p577 :rule process_scope :premises (@p603) :args (@t427)) % 45.90/46.15 (step @p582 :rule implies_elim :premises (@p577)) % 45.90/46.15 (step @p583 :rule resolution :premises (@p582 @p567) :args (true @t427)) % 45.90/46.15 (step @p584 :rule not_and :premises (@p583)) % 45.90/46.15 (step @p585 :rule eq_resolve :premises (@p584 @p544)) % 45.90/46.15 (step @p586 :rule reordering :premises (@p585) :args ((or @t264 @t424 @t422 @t420))) % 45.90/46.15 (step @p587 false :rule chain_m_resolution :premises (@p586 @p539 @p510 @p152 @p148) :args (false (@list false true false false) (@list @t412 @t264 @t421 @t423))) % 45.90/46.15 ) % 45.90/46.15 % SZS output end Proof % 45.90/46.15 % cvc5 exiting %------------------------------------------------------------------------------