%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW613_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 : n013.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 09:05:20 AM UTC 2026 % Result : Theorem 46.02s 46.29s % Output : Proof 46.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW613_2 : TPTP v9.2.1. Released v6.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n013.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 22:18:45 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.53 %----Proving TF0_ARI % 46.02/46.29 --- Run --finite-model-find --decision=internal at 45... % 46.02/46.29 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 46.02/46.29 % SZS status Theorem % 46.02/46.29 % SZS output start Proof % 46.02/46.29 ( % 46.02/46.29 (declare-sort tptp.tuple0 0) % 46.02/46.29 (declare-sort tptp.bool 0) % 46.02/46.29 (declare-sort tptp.ty 0) % 46.02/46.29 (declare-sort tptp.list_int 0) % 46.02/46.29 (declare-sort tptp.uni 0) % 46.02/46.29 (declare-const tptp.tb2t (-> tptp.uni tptp.list_int)) % 46.02/46.29 (declare-const tptp.cons_proj_2 (-> tptp.ty tptp.uni tptp.uni)) % 46.02/46.29 (declare-const tptp.match_list (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 46.02/46.29 (declare-const tptp.t2tb (-> tptp.list_int tptp.uni)) % 46.02/46.29 (declare-const tptp.cons (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 46.02/46.29 (declare-const tptp.t2tb1 (-> Int tptp.uni)) % 46.02/46.29 (declare-const tptp.list (-> tptp.ty tptp.ty)) % 46.02/46.29 (declare-const tptp.ref (-> tptp.ty tptp.ty)) % 46.02/46.29 (declare-const tptp.nil (-> tptp.ty tptp.uni)) % 46.02/46.29 (declare-const tptp.coprime (-> Int Int Bool)) % 46.02/46.29 (declare-const tptp.gcd (-> Int Int Int)) % 46.02/46.29 (declare-const tptp.int tptp.ty) % 46.02/46.29 (declare-const tptp.witness (-> tptp.ty tptp.uni)) % 46.02/46.29 (declare-const tptp.tuple02 tptp.tuple0) % 46.02/46.29 (declare-const tptp.divides (-> Int Int Bool)) % 46.02/46.29 (declare-const tptp.sort (-> tptp.ty tptp.uni Bool)) % 46.02/46.29 (declare-const tptp.match_bool (-> tptp.ty tptp.bool tptp.uni tptp.uni tptp.uni)) % 46.02/46.29 (declare-const tptp.true tptp.bool) % 46.02/46.29 (declare-const tptp.prime (-> Int Bool)) % 46.02/46.29 (declare-const tptp.false tptp.bool) % 46.02/46.29 (declare-const tptp.cons_proj_1 (-> tptp.ty tptp.uni tptp.uni)) % 46.02/46.29 (declare-const tptp.contents (-> tptp.ty tptp.uni tptp.uni)) % 46.02/46.29 (declare-const tptp.abs (-> Int Int)) % 46.02/46.29 (declare-const tptp.even (-> Int Bool)) % 46.02/46.29 (declare-const tptp.tb2t1 (-> tptp.uni Int)) % 46.02/46.29 (declare-const tptp.mod (-> Int Int Int)) % 46.02/46.29 (declare-const tptp.mk_ref (-> tptp.ty tptp.uni tptp.uni)) % 46.02/46.29 (declare-const tptp.div (-> Int Int Int)) % 46.02/46.29 (declare-const tptp.odd (-> Int Bool)) % 46.02/46.29 (define @t1 () (@var "A" tptp.ty)) % 46.02/46.29 (define @t2 () (@list @t1)) % 46.02/46.29 (define @t3 () (@var "X2" tptp.uni)) % 46.02/46.29 (define @t4 () (@var "X1" tptp.uni)) % 46.02/46.29 (define @t5 () (@var "X" tptp.bool)) % 46.02/46.29 (define @t6 () (@var "Z" tptp.uni)) % 46.02/46.29 (define @t7 () (@var "Z1" tptp.uni)) % 46.02/46.29 (define @t8 () (@list @t1 @t6 @t7)) % 46.02/46.29 (define @t9 () (@var "U" tptp.bool)) % 46.02/46.29 (define @t10 () (@var "U" tptp.tuple0)) % 46.02/46.29 (define @t11 () (@var "Z" Int)) % 46.02/46.29 (define @t12 () (@var "Y" Int)) % 46.02/46.29 (define @t13 () (@var "X" Int)) % 46.02/46.29 (define @t14 () (<= 0 @t11)) % 46.02/46.29 (define @t15 () (<= @t13 @t12)) % 46.02/46.29 (define @t16 () (@list @t13 @t12 @t11)) % 46.02/46.29 (define @t17 () (tptp.abs @t13)) % 46.02/46.29 (define @t18 () (<= 0 @t13)) % 46.02/46.29 (define @t19 () (@list @t13)) % 46.02/46.29 (define @t20 () (@list @t13 @t12)) % 46.02/46.29 (define @t21 () (tptp.mod @t13 @t12)) % 46.02/46.29 (define @t22 () (tptp.div @t13 @t12)) % 46.02/46.29 (define @t23 () (not (= @t12 0))) % 46.02/46.29 (define @t24 () (<= 0 @t22)) % 46.02/46.29 (define @t25 () (< 0 @t12)) % 46.02/46.29 (define @t26 () (and @t18 @t25)) % 46.02/46.29 (define @t27 () (tptp.abs @t12)) % 46.02/46.29 (define @t28 () (<= @t13 0)) % 46.02/46.29 (define @t29 () (and @t18 (< @t13 @t12))) % 46.02/46.29 (define @t30 () (+ (* @t13 @t12) @t11)) % 46.02/46.29 (define @t31 () (< 0 @t13)) % 46.02/46.29 (define @t32 () (and @t31 (<= 0 @t12) @t14)) % 46.02/46.29 (define @t33 () (@var "D" Int)) % 46.02/46.29 (define @t34 () (@var "Q" Int)) % 46.02/46.29 (define @t35 () (@var "N" Int)) % 46.02/46.29 (define @t36 () (tptp.divides @t33 @t35)) % 46.02/46.29 (define @t37 () (@list @t35)) % 46.02/46.29 (define @t38 () (@var "B" Int)) % 46.02/46.29 (define @t39 () (@var "C" Int)) % 46.02/46.29 (define @t40 () (* @t39 @t38)) % 46.02/46.29 (define @t41 () (@var "A" Int)) % 46.02/46.29 (define @t42 () (* @t39 @t41)) % 46.02/46.29 (define @t43 () (tptp.divides @t41 @t38)) % 46.02/46.29 (define @t44 () (@list @t41 @t38 @t39)) % 46.02/46.29 (define @t45 () (* @t38 @t39)) % 46.02/46.29 (define @t46 () (- @t38)) % 46.02/46.29 (define @t47 () (tptp.divides @t41 @t46)) % 46.02/46.29 (define @t48 () (@list @t41 @t38)) % 46.02/46.29 (define @t49 () (- @t41)) % 46.02/46.29 (define @t50 () (tptp.divides @t49 @t38)) % 46.02/46.29 (define @t51 () (tptp.divides @t41 @t39)) % 46.02/46.29 (define @t52 () (tptp.divides @t41 @t45)) % 46.02/46.29 (define @t53 () (* @t41 @t38)) % 46.02/46.29 (define @t54 () (- 1)) % 46.02/46.29 (define @t55 () (tptp.divides @t38 @t41)) % 46.02/46.29 (define @t56 () (not (= @t38 0))) % 46.02/46.29 (define @t57 () (to_real @t13)) % 46.02/46.29 (define @t58 () (to_real @t11)) % 46.02/46.29 (define @t59 () (/ @t58 @t57)) % 46.02/46.29 (define @t60 () (>= @t57 0/1)) % 46.02/46.29 (define @t61 () (ite @t60 (to_int @t59) (- (to_int (- @t59))))) % 46.02/46.29 (define @t62 () (to_real @t30)) % 46.02/46.29 (define @t63 () (/ @t62 @t57)) % 46.02/46.29 (define @t64 () (ite @t60 (to_int @t63) (- (to_int (- @t63))))) % 46.02/46.29 (define @t65 () (to_real @t38)) % 46.02/46.29 (define @t66 () (to_real @t41)) % 46.02/46.29 (define @t67 () (/ @t66 @t65)) % 46.02/46.29 (define @t68 () (to_int (- @t66 (* (to_real (ite (>= @t65 0/1) (to_int @t67) (- (to_int (- @t67))))) @t65)))) % 46.02/46.29 (define @t69 () (= @t68 0)) % 46.02/46.29 (define @t70 () (tptp.mod @t41 @t38)) % 46.02/46.29 (define @t71 () (= @t70 0)) % 46.02/46.29 (define @t72 () (@var "K" Int)) % 46.02/46.29 (define @t73 () (* 2 @t72)) % 46.02/46.29 (define @t74 () (@list @t72)) % 46.02/46.29 (define @t75 () (tptp.even @t35)) % 46.02/46.29 (define @t76 () (+ @t73 1)) % 46.02/46.29 (define @t77 () (tptp.odd @t35)) % 46.02/46.29 (define @t78 () (+ @t35 1)) % 46.02/46.29 (define @t79 () (+ @t35 2)) % 46.02/46.29 (define @t80 () (tptp.divides 2 @t41)) % 46.02/46.29 (define @t81 () (@list @t41)) % 46.02/46.29 (define @t82 () (@var "P" Int)) % 46.02/46.29 (define @t83 () (< @t35 @t82)) % 46.02/46.29 (define @t84 () (<= 2 @t82)) % 46.02/46.29 (define @t85 () (tptp.prime @t82)) % 46.02/46.29 (define @t86 () (@list @t82)) % 46.02/46.29 (define @t87 () (tptp.divides @t33 @t82)) % 46.02/46.29 (define @t88 () (@list @t33)) % 46.02/46.29 (define @t89 () (* @t33 @t33)) % 46.02/46.29 (define @t90 () (<= 2 @t33)) % 46.02/46.29 (define @t91 () (tptp.gcd @t41 @t38)) % 46.02/46.29 (define @t92 () (tptp.divides @t13 @t38)) % 46.02/46.29 (define @t93 () (tptp.divides @t13 @t41)) % 46.02/46.29 (define @t94 () (tptp.gcd @t13 @t12)) % 46.02/46.29 (define @t95 () (tptp.gcd @t41 0)) % 46.02/46.29 (define @t96 () (tptp.coprime @t41 @t38)) % 46.02/46.29 (define @t97 () (tptp.coprime @t35 @t82)) % 46.02/46.29 (define @t98 () (and (<= 1 @t35) @t83)) % 46.02/46.29 (define @t99 () (=> @t98 @t97)) % 46.02/46.29 (define @t100 () (forall @t37 @t99)) % 46.02/46.29 (define @t101 () (and @t84 @t100)) % 46.02/46.29 (define @t102 () (= @t85 @t101)) % 46.02/46.29 (define @t103 () (forall @t86 @t102)) % 46.02/46.29 (define @t104 () (@var "X" tptp.uni)) % 46.02/46.29 (define @t105 () (tptp.ref @t1)) % 46.02/46.29 (define @t106 () (@list @t1 @t104)) % 46.02/46.29 (define @t107 () (@var "U" tptp.uni)) % 46.02/46.29 (define @t108 () (tptp.sort @t1 @t107)) % 46.02/46.29 (define @t109 () (@list @t1 @t107)) % 46.02/46.29 (define @t110 () (tptp.nil @t1)) % 46.02/46.29 (define @t111 () (tptp.list @t1)) % 46.02/46.29 (define @t112 () (@var "A1" tptp.ty)) % 46.02/46.29 (define @t113 () (@var "U1" tptp.uni)) % 46.02/46.29 (define @t114 () (tptp.cons @t1 @t107 @t113)) % 46.02/46.29 (define @t115 () (@var "V1" tptp.uni)) % 46.02/46.29 (define @t116 () (@var "V" tptp.uni)) % 46.02/46.29 (define @t117 () (@list @t1 @t107 @t113)) % 46.02/46.29 (define @t118 () (@var "X" tptp.list_int)) % 46.02/46.29 (define @t119 () (@var "I" tptp.list_int)) % 46.02/46.29 (define @t120 () (@var "J" tptp.uni)) % 46.02/46.29 (define @t121 () (@list @t120)) % 46.02/46.29 (define @t122 () (@var "I" Int)) % 46.02/46.29 (define @t123 () (@list @t122)) % 46.02/46.29 (define @t124 () (@var "D1" Int)) % 46.02/46.29 (define @t125 () (tptp.coprime @t124 @t122)) % 46.02/46.29 (define @t126 () (< @t124 @t122)) % 46.02/46.29 (define @t127 () (and (<= 1 @t124) @t126)) % 46.02/46.29 (define @t128 () (=> @t127 @t125)) % 46.02/46.29 (define @t129 () (@var "Target" Int)) % 46.02/46.29 (define @t130 () (tptp.divides @t122 @t129)) % 46.02/46.29 (define @t131 () (=> @t130 @t128)) % 46.02/46.29 (define @t132 () (@var "Factor" Int)) % 46.02/46.29 (define @t133 () (< @t132 @t122)) % 46.02/46.29 (define @t134 () (=> @t133 @t131)) % 46.02/46.29 (define @t135 () (tptp.divides @t122 @t35)) % 46.02/46.29 (define @t136 () (tptp.prime @t122)) % 46.02/46.29 (define @t137 () (and @t136 @t135 @t126)) % 46.02/46.29 (define @t138 () (=> @t137 @t134)) % 46.02/46.29 (define @t139 () (forall @t123 @t138)) % 46.02/46.29 (define @t140 () (@var "Target1" Int)) % 46.02/46.29 (define @t141 () (tptp.divides @t140 @t129)) % 46.02/46.29 (define @t142 () (* @t140 @t124)) % 46.02/46.29 (define @t143 () (= @t142 @t129)) % 46.02/46.29 (define @t144 () (and @t143 @t141)) % 46.02/46.29 (define @t145 () (=> @t144 @t139)) % 46.02/46.29 (define @t146 () (tptp.div @t129 @t124)) % 46.02/46.29 (define @t147 () (= @t140 @t146)) % 46.02/46.29 (define @t148 () (=> @t147 @t145)) % 46.02/46.29 (define @t149 () (@list @t140)) % 46.02/46.29 (define @t150 () (forall @t149 @t148)) % 46.02/46.29 (define @t151 () (@var "Factors1" tptp.list_int)) % 46.02/46.29 (define @t152 () (tptp.tb2t (tptp.cons tptp.int (tptp.t2tb1 @t124) (tptp.t2tb @t151)))) % 46.02/46.29 (define @t153 () (@var "Factors2" tptp.list_int)) % 46.02/46.29 (define @t154 () (= @t153 @t152)) % 46.02/46.29 (define @t155 () (=> @t154 @t150)) % 46.02/46.29 (define @t156 () (@list @t153)) % 46.02/46.29 (define @t157 () (forall @t156 @t155)) % 46.02/46.29 (define @t158 () (@var "Factor1" Int)) % 46.02/46.29 (define @t159 () (= @t158 @t124)) % 46.02/46.29 (define @t160 () (=> @t159 @t157)) % 46.02/46.29 (define @t161 () (@list @t158)) % 46.02/46.29 (define @t162 () (forall @t161 @t160)) % 46.02/46.29 (define @t163 () (tptp.prime @t124)) % 46.02/46.29 (define @t164 () (=> @t163 @t162)) % 46.02/46.29 (define @t165 () (not @t130)) % 46.02/46.29 (define @t166 () (<= 2 @t122)) % 46.02/46.29 (define @t167 () (and @t166 (< @t122 @t124))) % 46.02/46.29 (define @t168 () (=> @t167 @t165)) % 46.02/46.29 (define @t169 () (forall @t123 @t168)) % 46.02/46.29 (define @t170 () (tptp.divides @t124 @t129)) % 46.02/46.29 (define @t171 () (and (<= @t132 @t124) (<= @t124 @t129) @t170 @t169)) % 46.02/46.29 (define @t172 () (=> @t171 @t164)) % 46.02/46.29 (define @t173 () (@list @t124)) % 46.02/46.29 (define @t174 () (forall @t173 @t172)) % 46.02/46.29 (define @t175 () (and @t166 (< @t122 @t132))) % 46.02/46.29 (define @t176 () (=> @t175 @t165)) % 46.02/46.29 (define @t177 () (forall @t123 @t176)) % 46.02/46.29 (define @t178 () (<= @t132 @t129)) % 46.02/46.29 (define @t179 () (<= 2 @t132)) % 46.02/46.29 (define @t180 () (<= 2 @t129)) % 46.02/46.29 (define @t181 () (and @t180 @t179 @t178 @t177)) % 46.02/46.29 (define @t182 () (=> @t181 @t174)) % 46.02/46.29 (define @t183 () (tptp.divides @t129 @t129)) % 46.02/46.29 (define @t184 () (and @t183 @t180 @t178)) % 46.02/46.29 (define @t185 () (=> @t184 @t182)) % 46.02/46.29 (define @t186 () (=> @t180 @t185)) % 46.02/46.29 (define @t187 () (and @t136 @t135 @t133)) % 46.02/46.29 (define @t188 () (=> @t187 @t130)) % 46.02/46.29 (define @t189 () (forall @t123 @t188)) % 46.02/46.29 (define @t190 () (and (<= @t132 @t122) @t135)) % 46.02/46.29 (define @t191 () (and @t130 @t166)) % 46.02/46.29 (define @t192 () (=> @t191 @t190)) % 46.02/46.29 (define @t193 () (forall @t123 @t192)) % 46.02/46.29 (define @t194 () (tptp.prime @t132)) % 46.02/46.29 (define @t195 () (tptp.divides @t132 @t35)) % 46.02/46.29 (define @t196 () (and (<= 1 @t129) (<= @t129 @t35) @t179 (<= @t132 @t35) @t195 @t194 @t193 @t189)) % 46.02/46.29 (define @t197 () (=> @t196 @t186)) % 46.02/46.29 (define @t198 () (@list @t129 @t132 @t151)) % 46.02/46.29 (define @t199 () (forall @t198 @t197)) % 46.02/46.29 (define @t200 () (tptp.div @t35 @t33)) % 46.02/46.29 (define @t201 () (and (tptp.coprime @t33 @t122) (tptp.divides @t122 @t200))) % 46.02/46.29 (define @t202 () (and @t136 @t135 (< @t33 @t122))) % 46.02/46.29 (define @t203 () (=> @t202 @t201)) % 46.02/46.29 (define @t204 () (forall @t123 @t203)) % 46.02/46.29 (define @t205 () (=> @t204 @t199)) % 46.02/46.29 (define @t206 () (tptp.divides @t200 @t35)) % 46.02/46.29 (define @t207 () (* @t200 @t33)) % 46.02/46.29 (define @t208 () (= @t207 @t35)) % 46.02/46.29 (define @t209 () (and @t208 @t206)) % 46.02/46.29 (define @t210 () (=> @t209 @t205)) % 46.02/46.29 (define @t211 () (tptp.tb2t (tptp.cons tptp.int (tptp.t2tb1 @t33) (tptp.nil tptp.int)))) % 46.02/46.29 (define @t212 () (@var "Factors" tptp.list_int)) % 46.02/46.29 (define @t213 () (= @t212 @t211)) % 46.02/46.29 (define @t214 () (=> @t213 @t210)) % 46.02/46.29 (define @t215 () (@list @t212)) % 46.02/46.29 (define @t216 () (forall @t215 @t214)) % 46.02/46.29 (define @t217 () (not @t135)) % 46.02/46.29 (define @t218 () (and @t166 (< @t122 @t33))) % 46.02/46.29 (define @t219 () (=> @t218 @t217)) % 46.02/46.29 (define @t220 () (forall @t123 @t219)) % 46.02/46.29 (define @t221 () (and @t90 (<= @t33 @t35) @t36 @t220)) % 46.02/46.29 (define @t222 () (=> @t221 @t216)) % 46.02/46.29 (define @t223 () (forall @t88 @t222)) % 46.02/46.29 (define @t224 () (and @t166 (< @t122 2))) % 46.02/46.29 (define @t225 () (=> @t224 @t217)) % 46.02/46.29 (define @t226 () (forall @t123 @t225)) % 46.02/46.29 (define @t227 () (<= 2 @t35)) % 46.02/46.29 (define @t228 () (<= 2 2)) % 46.02/46.29 (define @t229 () (and @t227 @t228 @t227 @t226)) % 46.02/46.29 (define @t230 () (=> @t229 @t223)) % 46.02/46.29 (define @t231 () (=> @t227 @t230)) % 46.02/46.29 (define @t232 () (forall @t37 @t231)) % 46.02/46.29 (define @t233 () (not @t232)) % 46.02/46.29 (define @t234 () (+ @t35 (* -1 @t82))) % 46.02/46.29 (define @t235 () (>= @t234 0)) % 46.02/46.29 (define @t236 () (>= @t35 1)) % 46.02/46.29 (define @t237 () (not @t236)) % 46.02/46.29 (define @t238 () (not @t235)) % 46.02/46.29 (define @t239 () (and @t236 @t238)) % 46.02/46.29 (define @t240 () (>= @t35 @t82)) % 46.02/46.29 (define @t241 () (@var "BOUND_VARIABLE_9462" Int)) % 46.02/46.29 (define @t242 () (tptp.div @t35 @t241)) % 46.02/46.29 (define @t243 () (and (tptp.coprime @t241 @t122) (tptp.divides @t122 @t242))) % 46.02/46.29 (define @t244 () (* -1 @t241)) % 46.02/46.29 (define @t245 () (+ @t122 @t244)) % 46.02/46.29 (define @t246 () (not @t136)) % 46.02/46.29 (define @t247 () (not (tptp.divides @t242 @t35))) % 46.02/46.29 (define @t248 () (not (= @t35 (* @t241 @t242)))) % 46.02/46.29 (define @t249 () (>= @t245 0)) % 46.02/46.29 (define @t250 () (>= @t122 2)) % 46.02/46.29 (define @t251 () (not @t250)) % 46.02/46.29 (define @t252 () (not (tptp.divides @t241 @t35))) % 46.02/46.29 (define @t253 () (+ @t35 @t244)) % 46.02/46.29 (define @t254 () (not (>= @t241 2))) % 46.02/46.29 (define @t255 () (@var "BOUND_VARIABLE_9385" Int)) % 46.02/46.29 (define @t256 () (@var "BOUND_VARIABLE_9383" Int)) % 46.02/46.29 (define @t257 () (tptp.coprime @t256 @t255)) % 46.02/46.29 (define @t258 () (@var "BOUND_VARIABLE_9379" Int)) % 46.02/46.29 (define @t259 () (not (tptp.divides @t255 @t258))) % 46.02/46.29 (define @t260 () (* -1 @t255)) % 46.02/46.29 (define @t261 () (@var "BOUND_VARIABLE_9381" Int)) % 46.02/46.29 (define @t262 () (>= (+ @t261 @t260) 0)) % 46.02/46.29 (define @t263 () (>= (+ @t256 @t260) 0)) % 46.02/46.29 (define @t264 () (not (tptp.divides @t255 @t35))) % 46.02/46.29 (define @t265 () (not (tptp.prime @t255))) % 46.02/46.29 (define @t266 () (tptp.div @t258 @t256)) % 46.02/46.29 (define @t267 () (not (tptp.divides @t266 @t258))) % 46.02/46.29 (define @t268 () (not (= @t258 (* @t256 @t266)))) % 46.02/46.29 (define @t269 () (not (>= @t256 1))) % 46.02/46.29 (define @t270 () (not (tptp.prime @t256))) % 46.02/46.29 (define @t271 () (tptp.divides @t122 @t258)) % 46.02/46.29 (define @t272 () (not @t271)) % 46.02/46.29 (define @t273 () (* -1 @t256)) % 46.02/46.29 (define @t274 () (not (forall @t123 (or @t251 (>= (+ @t122 @t273) 0) @t272)))) % 46.02/46.29 (define @t275 () (not (tptp.divides @t256 @t258))) % 46.02/46.29 (define @t276 () (not (>= (+ @t258 @t273) 0))) % 46.02/46.29 (define @t277 () (>= (+ @t261 @t273) 1)) % 46.02/46.29 (define @t278 () (* -1 @t261)) % 46.02/46.29 (define @t279 () (+ @t122 @t278)) % 46.02/46.29 (define @t280 () (>= @t279 0)) % 46.02/46.29 (define @t281 () (not (forall @t123 (or @t251 @t280 @t272)))) % 46.02/46.29 (define @t282 () (not (>= (+ @t258 @t278) 0))) % 46.02/46.29 (define @t283 () (not (tptp.divides @t258 @t258))) % 46.02/46.29 (define @t284 () (not (>= @t258 2))) % 46.02/46.29 (define @t285 () (not (forall @t123 (or @t246 @t217 (not (>= @t279 1)) @t271)))) % 46.02/46.29 (define @t286 () (not (forall @t123 (or @t272 @t251 (and @t280 @t135))))) % 46.02/46.29 (define @t287 () (not (tptp.prime @t261))) % 46.02/46.29 (define @t288 () (not (tptp.divides @t261 @t35))) % 46.02/46.29 (define @t289 () (not (>= (+ @t35 @t278) 0))) % 46.02/46.29 (define @t290 () (not (>= @t261 2))) % 46.02/46.29 (define @t291 () (not (>= (+ @t35 (* -1 @t258)) 0))) % 46.02/46.29 (define @t292 () (not (>= @t258 1))) % 46.02/46.29 (define @t293 () (>= @t35 2)) % 46.02/46.29 (define @t294 () (not @t293)) % 46.02/46.29 (define @t295 () (@list @t35 @t258 @t261 @t256 @t255 @t241)) % 46.02/46.29 (define @t296 () (forall @t295 (or @t294 @t292 @t291 @t290 @t289 @t288 @t287 @t286 @t285 @t284 @t283 @t282 @t281 @t277 @t276 @t275 @t274 @t270 @t269 @t268 @t267 @t265 @t264 @t263 @t262 @t259 @t257 @t254 (not (>= @t253 0)) @t252 (not (forall @t123 (or @t251 @t249 @t217))) @t248 @t247 (not (forall @t123 (or @t246 @t217 (not (>= @t245 1)) @t243)))))) % 46.02/46.29 (define @t297 () (@quantifiers_skolemize @t296 4)) % 46.02/46.29 (define @t298 () (* -1 @t122)) % 46.02/46.29 (define @t299 () (+ @t298 @t241)) % 46.02/46.29 (define @t300 () (+ @t245 1)) % 46.02/46.29 (define @t301 () (+ @t241 @t298)) % 46.02/46.29 (define @t302 () (>= @t301 0)) % 46.02/46.29 (define @t303 () (or @t246 @t217 @t302 @t243)) % 46.02/46.29 (define @t304 () (forall @t123 @t303)) % 46.02/46.29 (define @t305 () (not @t304)) % 46.02/46.29 (define @t306 () (>= @t301 1)) % 46.02/46.29 (define @t307 () (not @t306)) % 46.02/46.29 (define @t308 () (or @t251 @t307 @t217)) % 46.02/46.29 (define @t309 () (forall @t123 @t308)) % 46.02/46.29 (define @t310 () (not @t309)) % 46.02/46.29 (define @t311 () (* -1 @t35)) % 46.02/46.29 (define @t312 () (+ @t311 @t241)) % 46.02/46.29 (define @t313 () (+ @t253 1)) % 46.02/46.29 (define @t314 () (+ @t241 @t311)) % 46.02/46.29 (define @t315 () (>= @t314 1)) % 46.02/46.29 (define @t316 () (or @t294 @t292 @t291 @t290 @t289 @t288 @t287 @t286 @t285 @t284 @t283 @t282 @t281 @t277 @t276 @t275 @t274 @t270 @t269 @t268 @t267 @t265 @t264 @t263 @t262 @t259 @t257 @t254 @t315 @t252 @t310 @t248 @t247 @t305)) % 46.02/46.29 (define @t317 () (or @t254 @t315 @t252 @t310 @t248 @t247 @t305)) % 46.02/46.29 (define @t318 () (or @t292 @t291 @t290 @t289 @t288 @t287 @t286 @t285 @t284 @t283 @t282 @t281 @t277 @t276 @t275 @t274 @t270 @t269 @t268 @t267 @t265 @t264 @t263 @t262 @t259 @t257)) % 46.02/46.29 (define @t319 () (or @t294 @t318 @t317)) % 46.02/46.29 (define @t320 () (forall @t295 @t319)) % 46.02/46.29 (define @t321 () (forall (@list @t258 @t261 @t256 @t255 @t241) @t319)) % 46.02/46.29 (define @t322 () (forall (@list @t241) @t317)) % 46.02/46.29 (define @t323 () (forall (@list @t258 @t261 @t256 @t255) @t318)) % 46.02/46.29 (define @t324 () (@var "BOUND_VARIABLE_9296" Int)) % 46.02/46.29 (define @t325 () (@var "BOUND_VARIABLE_9294" Int)) % 46.02/46.29 (define @t326 () (or @t294 @t323 @t322)) % 46.02/46.29 (define @t327 () (+ @t33 @t298)) % 46.02/46.29 (define @t328 () (>= @t327 0)) % 46.02/46.29 (define @t329 () (or @t246 @t217 @t328 @t201)) % 46.02/46.29 (define @t330 () (forall @t123 @t329)) % 46.02/46.29 (define @t331 () (not @t330)) % 46.02/46.29 (define @t332 () (not @t206)) % 46.02/46.29 (define @t333 () (* @t33 @t200)) % 46.02/46.29 (define @t334 () (= @t35 @t333)) % 46.02/46.29 (define @t335 () (not @t334)) % 46.02/46.29 (define @t336 () (>= @t327 1)) % 46.02/46.29 (define @t337 () (not @t336)) % 46.02/46.29 (define @t338 () (or @t251 @t337 @t217)) % 46.02/46.29 (define @t339 () (forall @t123 @t338)) % 46.02/46.29 (define @t340 () (not @t339)) % 46.02/46.29 (define @t341 () (not @t36)) % 46.02/46.29 (define @t342 () (+ @t33 @t311)) % 46.02/46.29 (define @t343 () (>= @t342 1)) % 46.02/46.29 (define @t344 () (>= @t33 2)) % 46.02/46.29 (define @t345 () (not @t344)) % 46.02/46.29 (define @t346 () (or @t345 @t343 @t341 @t340 @t335 @t332 @t331)) % 46.02/46.29 (define @t347 () (forall @t88 @t346)) % 46.02/46.29 (define @t348 () (tptp.coprime @t325 @t324)) % 46.02/46.29 (define @t349 () (not (tptp.divides @t324 @t129))) % 46.02/46.29 (define @t350 () (* -1 @t324)) % 46.02/46.29 (define @t351 () (>= (+ @t132 @t350) 0)) % 46.02/46.29 (define @t352 () (>= (+ @t325 @t350) 0)) % 46.02/46.29 (define @t353 () (not (tptp.divides @t324 @t35))) % 46.02/46.29 (define @t354 () (not (tptp.prime @t324))) % 46.02/46.29 (define @t355 () (tptp.div @t129 @t325)) % 46.02/46.29 (define @t356 () (not (tptp.divides @t355 @t129))) % 46.02/46.29 (define @t357 () (not (= @t129 (* @t325 @t355)))) % 46.02/46.29 (define @t358 () (not (>= @t325 1))) % 46.02/46.29 (define @t359 () (not (tptp.prime @t325))) % 46.02/46.29 (define @t360 () (* -1 @t325)) % 46.02/46.29 (define @t361 () (not (forall @t123 (or @t251 (>= (+ @t122 @t360) 0) @t165)))) % 46.02/46.29 (define @t362 () (not (tptp.divides @t325 @t129))) % 46.02/46.29 (define @t363 () (not (>= (+ @t129 @t360) 0))) % 46.02/46.29 (define @t364 () (>= (+ @t132 @t360) 1)) % 46.02/46.29 (define @t365 () (* -1 @t132)) % 46.02/46.29 (define @t366 () (+ @t122 @t365)) % 46.02/46.29 (define @t367 () (>= @t366 0)) % 46.02/46.29 (define @t368 () (or @t251 @t367 @t165)) % 46.02/46.29 (define @t369 () (forall @t123 @t368)) % 46.02/46.29 (define @t370 () (not @t369)) % 46.02/46.29 (define @t371 () (+ @t129 @t365)) % 46.02/46.29 (define @t372 () (>= @t371 0)) % 46.02/46.29 (define @t373 () (not @t372)) % 46.02/46.29 (define @t374 () (not @t183)) % 46.02/46.29 (define @t375 () (>= @t129 2)) % 46.02/46.29 (define @t376 () (not @t375)) % 46.02/46.29 (define @t377 () (>= @t366 1)) % 46.02/46.29 (define @t378 () (not @t377)) % 46.02/46.29 (define @t379 () (or @t246 @t217 @t378 @t130)) % 46.02/46.29 (define @t380 () (forall @t123 @t379)) % 46.02/46.29 (define @t381 () (not @t380)) % 46.02/46.29 (define @t382 () (and @t367 @t135)) % 46.02/46.29 (define @t383 () (or @t165 @t251 @t382)) % 46.02/46.29 (define @t384 () (forall @t123 @t383)) % 46.02/46.29 (define @t385 () (not @t384)) % 46.02/46.29 (define @t386 () (not @t194)) % 46.02/46.29 (define @t387 () (not @t195)) % 46.02/46.29 (define @t388 () (+ @t35 @t365)) % 46.02/46.29 (define @t389 () (>= @t388 0)) % 46.02/46.29 (define @t390 () (not @t389)) % 46.02/46.29 (define @t391 () (>= @t132 2)) % 46.02/46.29 (define @t392 () (not @t391)) % 46.02/46.29 (define @t393 () (+ @t35 (* -1 @t129))) % 46.02/46.29 (define @t394 () (>= @t393 0)) % 46.02/46.29 (define @t395 () (not @t394)) % 46.02/46.29 (define @t396 () (>= @t129 1)) % 46.02/46.29 (define @t397 () (not @t396)) % 46.02/46.29 (define @t398 () (or @t397 @t395 @t392 @t390 @t387 @t386 @t385 @t381 @t376 @t374 @t373 @t370 @t364 @t363 @t362 @t361 @t359 @t358 @t357 @t356 @t354 @t353 @t352 @t351 @t349 @t348)) % 46.02/46.29 (define @t399 () (@list @t129 @t132 @t325 @t324)) % 46.02/46.29 (define @t400 () (forall @t399 @t398)) % 46.02/46.29 (define @t401 () (or @t294 @t400 @t347)) % 46.02/46.29 (define @t402 () (or @t400 @t347)) % 46.02/46.29 (define @t403 () (=> @t293 @t402)) % 46.02/46.29 (define @t404 () (or @t400 @t346)) % 46.02/46.29 (define @t405 () (or @t345 @t343 @t341 @t340 @t335 @t332 @t331 @t400)) % 46.02/46.29 (define @t406 () (or @t335 @t332 @t331 @t400)) % 46.02/46.29 (define @t407 () (not @t343)) % 46.02/46.29 (define @t408 () (not @t407)) % 46.02/46.29 (define @t409 () (or @t345 @t408 @t341 @t340)) % 46.02/46.29 (define @t410 () (and @t344 @t407 @t36 @t339)) % 46.02/46.29 (define @t411 () (not (= @t211 @t211))) % 46.02/46.29 (define @t412 () (not @t213)) % 46.02/46.29 (define @t413 () (or @t412 @t412)) % 46.02/46.29 (define @t414 () (forall @t215 @t412)) % 46.02/46.29 (define @t415 () (or @t335 @t332 @t331 @t400 @t414)) % 46.02/46.29 (define @t416 () (or @t335 @t332 @t331 @t400 @t412)) % 46.02/46.29 (define @t417 () (or @t412 @t335 @t332 @t331 @t400)) % 46.02/46.29 (define @t418 () (=> @t330 @t400)) % 46.02/46.29 (define @t419 () (and @t334 @t206)) % 46.02/46.29 (define @t420 () (=> @t419 @t418)) % 46.02/46.29 (define @t421 () (or @t364 @t363 @t362 @t361 @t359 @t358 @t357 @t356 @t354 @t353 @t352 @t351 @t349 @t348)) % 46.02/46.29 (define @t422 () (or @t397 @t395 @t392 @t390 @t387 @t386 @t385 @t381 @t376 @t374 @t373 @t370 @t421)) % 46.02/46.29 (define @t423 () (forall @t399 @t422)) % 46.02/46.29 (define @t424 () (@list @t325 @t324)) % 46.02/46.29 (define @t425 () (forall @t424 @t422)) % 46.02/46.29 (define @t426 () (@list @t129 @t132)) % 46.02/46.29 (define @t427 () (forall @t424 @t421)) % 46.02/46.29 (define @t428 () (@var "BOUND_VARIABLE_9228" Int)) % 46.02/46.29 (define @t429 () (or @t397 @t395 @t392 @t390 @t387 @t386 @t385 @t381 @t376 @t374 @t373 @t370 @t427)) % 46.02/46.29 (define @t430 () (tptp.coprime @t124 @t428)) % 46.02/46.29 (define @t431 () (not (tptp.divides @t428 @t129))) % 46.02/46.29 (define @t432 () (* -1 @t428)) % 46.02/46.29 (define @t433 () (+ @t132 @t432)) % 46.02/46.29 (define @t434 () (>= @t433 0)) % 46.02/46.29 (define @t435 () (+ @t124 @t432)) % 46.02/46.29 (define @t436 () (>= @t435 0)) % 46.02/46.29 (define @t437 () (not (tptp.divides @t428 @t35))) % 46.02/46.29 (define @t438 () (not (tptp.prime @t428))) % 46.02/46.29 (define @t439 () (not (tptp.divides @t146 @t129))) % 46.02/46.29 (define @t440 () (not (= @t129 (* @t124 @t146)))) % 46.02/46.29 (define @t441 () (>= @t124 1)) % 46.02/46.29 (define @t442 () (not @t441)) % 46.02/46.29 (define @t443 () (not @t163)) % 46.02/46.29 (define @t444 () (* -1 @t124)) % 46.02/46.29 (define @t445 () (+ @t122 @t444)) % 46.02/46.29 (define @t446 () (>= @t445 0)) % 46.02/46.29 (define @t447 () (or @t251 @t446 @t165)) % 46.02/46.29 (define @t448 () (forall @t123 @t447)) % 46.02/46.29 (define @t449 () (not @t448)) % 46.02/46.29 (define @t450 () (not @t170)) % 46.02/46.29 (define @t451 () (+ @t129 @t444)) % 46.02/46.29 (define @t452 () (>= @t451 0)) % 46.02/46.29 (define @t453 () (not @t452)) % 46.02/46.29 (define @t454 () (+ @t132 @t444)) % 46.02/46.29 (define @t455 () (>= @t454 1)) % 46.02/46.29 (define @t456 () (@list @t124 @t428)) % 46.02/46.29 (define @t457 () (forall @t456 (or @t455 @t453 @t450 @t449 @t443 @t442 @t440 @t439 @t438 @t437 @t436 @t434 @t431 @t430))) % 46.02/46.29 (define @t458 () (or @t397 @t395 @t392 @t390 @t387 @t386 @t385 @t381 @t376 @t374 @t373 @t370 @t457)) % 46.02/46.29 (define @t459 () (forall @t426 @t458)) % 46.02/46.29 (define @t460 () (or @t376 @t374 @t373 @t392 @t370 @t457)) % 46.02/46.29 (define @t461 () (or @t397 @t395 @t392 @t390 @t387 @t386 @t385 @t381)) % 46.02/46.29 (define @t462 () (or @t374 @t376 @t373 @t392 @t370 @t457)) % 46.02/46.29 (define @t463 () (or @t376 @t392 @t373 @t370 @t457)) % 46.02/46.29 (define @t464 () (or @t374 @t376 @t373)) % 46.02/46.29 (define @t465 () (or @t376 @t392 @t373 @t370)) % 46.02/46.29 (define @t466 () (and @t375 @t391 @t372 @t369)) % 46.02/46.29 (define @t467 () (=> @t466 @t457)) % 46.02/46.29 (define @t468 () (and @t183 @t375 @t372)) % 46.02/46.29 (define @t469 () (=> @t468 @t467)) % 46.02/46.29 (define @t470 () (=> @t375 @t469)) % 46.02/46.29 (define @t471 () (and @t396 @t394 @t391 @t389 @t195 @t194 @t384 @t380)) % 46.02/46.29 (define @t472 () (+ @t365 @t428)) % 46.02/46.29 (define @t473 () (+ @t433 1)) % 46.02/46.29 (define @t474 () (+ @t428 @t365)) % 46.02/46.29 (define @t475 () (>= @t474 1)) % 46.02/46.29 (define @t476 () (not @t475)) % 46.02/46.29 (define @t477 () (+ @t444 @t428)) % 46.02/46.29 (define @t478 () (+ @t435 1)) % 46.02/46.29 (define @t479 () (+ @t428 @t444)) % 46.02/46.29 (define @t480 () (>= @t479 1)) % 46.02/46.29 (define @t481 () (not @t480)) % 46.02/46.29 (define @t482 () (or @t455 @t453 @t450 @t449 @t443 @t442 @t440 @t439 @t438 @t437 @t481 @t476 @t431 @t430)) % 46.02/46.29 (define @t483 () (or @t438 @t437 @t481 @t476 @t431 @t430)) % 46.02/46.29 (define @t484 () (or @t455 @t453 @t450 @t449 @t443 @t442 @t483 @t440 @t439)) % 46.02/46.29 (define @t485 () (forall @t456 @t484)) % 46.02/46.29 (define @t486 () (@list @t428)) % 46.02/46.29 (define @t487 () (forall @t486 @t484)) % 46.02/46.29 (define @t488 () (forall @t486 @t483)) % 46.02/46.29 (define @t489 () (or @t455 @t453 @t450 @t449 @t443 @t442 @t488 @t440 @t439)) % 46.02/46.29 (define @t490 () (>= @t445 1)) % 46.02/46.29 (define @t491 () (not @t490)) % 46.02/46.29 (define @t492 () (or @t246 @t217 @t491 @t378 @t165 @t125)) % 46.02/46.29 (define @t493 () (forall @t123 @t492)) % 46.02/46.29 (define @t494 () (or @t455 @t453 @t450 @t449 @t443 @t442 @t493 @t440 @t439)) % 46.02/46.29 (define @t495 () (or @t443 @t442 @t493 @t440 @t439)) % 46.02/46.29 (define @t496 () (or @t442 @t493 @t440 @t439)) % 46.02/46.29 (define @t497 () (not @t455)) % 46.02/46.29 (define @t498 () (not @t497)) % 46.02/46.29 (define @t499 () (or @t498 @t453 @t450 @t449)) % 46.02/46.29 (define @t500 () (=> @t163 @t496)) % 46.02/46.29 (define @t501 () (and @t497 @t452 @t170 @t448)) % 46.02/46.29 (define @t502 () (not (= @t124 @t124))) % 46.02/46.29 (define @t503 () (= @t124 @t158)) % 46.02/46.29 (define @t504 () (not @t503)) % 46.02/46.29 (define @t505 () (* 1 (- @t158 @t124))) % 46.02/46.29 (define @t506 () (* -1 (- @t124 @t158))) % 46.02/46.29 (define @t507 () (or @t504 @t504)) % 46.02/46.29 (define @t508 () (forall @t161 @t504)) % 46.02/46.29 (define @t509 () (or @t442 @t493 @t440 @t439 @t508)) % 46.02/46.29 (define @t510 () (or @t442 @t493 @t440 @t439 @t504)) % 46.02/46.29 (define @t511 () (or @t504 @t442 @t493 @t440 @t439)) % 46.02/46.29 (define @t512 () (not (= @t152 @t152))) % 46.02/46.29 (define @t513 () (not @t154)) % 46.02/46.29 (define @t514 () (or @t513 @t513)) % 46.02/46.29 (define @t515 () (forall @t156 @t513)) % 46.02/46.29 (define @t516 () (or @t442 @t493 @t440 @t439 @t515)) % 46.02/46.29 (define @t517 () (or @t442 @t493 @t440 @t439 @t513)) % 46.02/46.29 (define @t518 () (or @t513 @t442 @t493 @t440 @t439)) % 46.02/46.29 (define @t519 () (or @t440 @t439)) % 46.02/46.29 (define @t520 () (not (= @t146 @t146))) % 46.02/46.29 (define @t521 () (or @t520 @t440 @t439)) % 46.02/46.29 (define @t522 () (not @t141)) % 46.02/46.29 (define @t523 () (* @t124 @t140)) % 46.02/46.29 (define @t524 () (= @t129 @t523)) % 46.02/46.29 (define @t525 () (not @t524)) % 46.02/46.29 (define @t526 () (not @t147)) % 46.02/46.29 (define @t527 () (or @t526 @t526 @t525 @t522)) % 46.02/46.29 (define @t528 () (or @t526 @t525 @t522)) % 46.02/46.29 (define @t529 () (forall @t149 @t528)) % 46.02/46.29 (define @t530 () (or @t442 @t493 @t529)) % 46.02/46.29 (define @t531 () (or @t442 @t493 @t528)) % 46.02/46.29 (define @t532 () (or @t526 @t525 @t522 @t442 @t493)) % 46.02/46.29 (define @t533 () (or @t525 @t522 @t442 @t493)) % 46.02/46.29 (define @t534 () (or @t442 @t493)) % 46.02/46.29 (define @t535 () (and @t524 @t141)) % 46.02/46.29 (define @t536 () (=> @t535 @t534)) % 46.02/46.29 (define @t537 () (or @t442 @t492)) % 46.02/46.29 (define @t538 () (or @t246 @t217 @t491 @t378 @t165 @t442 @t125)) % 46.02/46.29 (define @t539 () (or @t378 @t165 @t442 @t491 @t125)) % 46.02/46.29 (define @t540 () (or @t246 @t217 @t491)) % 46.02/46.29 (define @t541 () (or @t165 @t442 @t491 @t125)) % 46.02/46.29 (define @t542 () (or @t442 @t491 @t125)) % 46.02/46.29 (define @t543 () (and @t441 @t490)) % 46.02/46.29 (define @t544 () (=> @t543 @t125)) % 46.02/46.29 (define @t545 () (=> @t130 @t544)) % 46.02/46.29 (define @t546 () (=> @t377 @t545)) % 46.02/46.29 (define @t547 () (and @t136 @t135 @t490)) % 46.02/46.29 (define @t548 () (+ @t445 1)) % 46.02/46.29 (define @t549 () (>= @t124 @t122)) % 46.02/46.29 (define @t550 () (+ @t366 1)) % 46.02/46.29 (define @t551 () (>= @t132 @t122)) % 46.02/46.29 (define @t552 () (not @t446)) % 46.02/46.29 (define @t553 () (and @t250 @t552)) % 46.02/46.29 (define @t554 () (>= @t122 @t124)) % 46.02/46.29 (define @t555 () (+ @t124 1)) % 46.02/46.29 (define @t556 () (>= @t132 @t555)) % 46.02/46.29 (define @t557 () (not @t367)) % 46.02/46.29 (define @t558 () (and @t250 @t557)) % 46.02/46.29 (define @t559 () (>= @t122 @t132)) % 46.02/46.29 (define @t560 () (= @t559 @t367)) % 46.02/46.29 (define @t561 () (or @t246 @t217 @t378)) % 46.02/46.29 (define @t562 () (and @t136 @t135 @t377)) % 46.02/46.29 (define @t563 () (and @t130 @t250)) % 46.02/46.29 (define @t564 () (not @t328)) % 46.02/46.29 (define @t565 () (not @t564)) % 46.02/46.29 (define @t566 () (or @t246 @t217 @t565)) % 46.02/46.29 (define @t567 () (and @t136 @t135 @t564)) % 46.02/46.29 (define @t568 () (>= @t33 @t122)) % 46.02/46.29 (define @t569 () (and @t250 @t336)) % 46.02/46.29 (define @t570 () (+ @t327 1)) % 46.02/46.29 (define @t571 () (>= @t122 @t33)) % 46.02/46.29 (define @t572 () (>= @t33 @t78)) % 46.02/46.29 (define @t573 () (or true @t217)) % 46.02/46.29 (define @t574 () (and @t250 @t251)) % 46.02/46.29 (define @t575 () (tptp.prime @t297)) % 46.02/46.29 (define @t576 () (@quantifiers_skolemize @t296 5)) % 46.02/46.29 (define @t577 () (@quantifiers_skolemize @t296 0)) % 46.02/46.29 (define @t578 () (tptp.div @t577 @t576)) % 46.02/46.29 (define @t579 () (* -1 @t576)) % 46.02/46.29 (define @t580 () (+ @t122 @t579)) % 46.02/46.29 (define @t581 () (tptp.divides @t122 @t577)) % 46.02/46.29 (define @t582 () (not @t581)) % 46.02/46.29 (define @t583 () (@quantifiers_skolemize @t296 3)) % 46.02/46.29 (define @t584 () (tptp.coprime @t583 @t297)) % 46.02/46.29 (define @t585 () (@quantifiers_skolemize @t296 1)) % 46.02/46.29 (define @t586 () (* -1 @t297)) % 46.02/46.29 (define @t587 () (@quantifiers_skolemize @t296 2)) % 46.02/46.29 (define @t588 () (>= (+ @t583 @t586) 0)) % 46.02/46.29 (define @t589 () (not @t575)) % 46.02/46.29 (define @t590 () (tptp.div @t585 @t583)) % 46.02/46.29 (define @t591 () (>= @t583 1)) % 46.02/46.29 (define @t592 () (not @t591)) % 46.02/46.29 (define @t593 () (tptp.divides @t122 @t585)) % 46.02/46.29 (define @t594 () (not @t593)) % 46.02/46.29 (define @t595 () (* -1 @t583)) % 46.02/46.29 (define @t596 () (* -1 @t587)) % 46.02/46.29 (define @t597 () (+ @t122 @t596)) % 46.02/46.29 (define @t598 () (>= @t597 0)) % 46.02/46.29 (define @t599 () (or (not (>= @t577 2)) (not (>= @t585 1)) (not (>= (+ @t577 (* -1 @t585)) 0)) (not (>= @t587 2)) (not (>= (+ @t577 @t596) 0)) (not (tptp.divides @t587 @t577)) (not (tptp.prime @t587)) (not (forall @t123 (or @t594 @t251 (and @t598 @t581)))) (not (forall @t123 (or @t246 @t582 (not (>= @t597 1)) @t593))) (not (>= @t585 2)) (not (tptp.divides @t585 @t585)) (not (>= (+ @t585 @t596) 0)) (not (forall @t123 (or @t251 @t598 @t594))) (>= (+ @t587 @t595) 1) (not (>= (+ @t585 @t595) 0)) (not (tptp.divides @t583 @t585)) (not (forall @t123 (or @t251 (>= (+ @t122 @t595) 0) @t594))) (not (tptp.prime @t583)) @t592 (not (= @t585 (* @t583 @t590))) (not (tptp.divides @t590 @t585)) @t589 (not (tptp.divides @t297 @t577)) @t588 (>= (+ @t587 @t586) 0) (not (tptp.divides @t297 @t585)) @t584 (not (>= @t576 2)) (not (>= (+ @t577 @t579) 0)) (not (tptp.divides @t576 @t577)) (not (forall @t123 (or @t251 (>= @t580 0) @t582))) (not (= @t577 (* @t576 @t578))) (not (tptp.divides @t578 @t577)) (not (forall @t123 (or @t246 @t582 (not (>= @t580 1)) (and (tptp.coprime @t576 @t122) (tptp.divides @t122 @t578))))))) % 46.02/46.29 (define @t600 () (@list true)) % 46.02/46.29 (define @t601 () (@list @t599)) % 46.02/46.29 (define @t602 () (forall @t37 (or @t237 (>= (+ @t35 @t586) 0) (tptp.coprime @t35 @t297)))) % 46.02/46.29 (define @t603 () (and (>= @t297 2) @t602)) % 46.02/46.29 (define @t604 () (= @t575 @t603)) % 46.02/46.29 (define @t605 () (or @t592 @t588 @t584)) % 46.02/46.29 (define @t606 () (not @t605)) % 46.02/46.29 (assume @p1 (forall @t2 (tptp.sort @t1 (tptp.witness @t1)))) % 46.02/46.29 (assume @p2 (forall (@list @t1 @t5 @t4 @t3) (tptp.sort @t1 (tptp.match_bool @t1 @t5 @t4 @t3)))) % 46.02/46.29 (assume @p3 (forall @t8 (=> (tptp.sort @t1 @t6) (= (tptp.match_bool @t1 tptp.true @t6 @t7) @t6)))) % 46.02/46.29 (assume @p4 (forall @t8 (=> (tptp.sort @t1 @t7) (= (tptp.match_bool @t1 tptp.false @t6 @t7) @t7)))) % 46.02/46.29 (assume @p5 (not (= tptp.true tptp.false))) % 46.02/46.29 (assume @p6 (forall (@list @t9) (or (= @t9 tptp.true) (= @t9 tptp.false)))) % 46.02/46.29 (assume @p7 (forall (@list @t10) (= @t10 tptp.tuple02))) % 46.02/46.29 (assume @p8 (forall @t16 (=> @t15 (=> @t14 (<= (* @t13 @t11) (* @t12 @t11)))))) % 46.02/46.29 (assume @p9 (forall @t19 (and (=> @t18 (= @t17 @t13)) (=> (not @t18) (= @t17 (- @t13)))))) % 46.02/46.29 (assume @p10 (forall @t20 (= (<= @t17 @t12) (and (<= (- @t12) @t13) @t15)))) % 46.02/46.29 (assume @p11 (forall @t19 (<= 0 @t17))) % 46.02/46.29 (assume @p12 (forall @t20 (=> @t23 (= @t13 (+ (* @t12 @t22) @t21))))) % 46.02/46.29 (assume @p13 (forall @t20 (=> @t26 (and @t24 (<= @t22 @t13))))) % 46.02/46.29 (assume @p14 (forall @t20 (=> @t23 (and (< (- @t27) @t21) (< @t21 @t27))))) % 46.02/46.29 (assume @p15 (forall @t20 (=> @t26 @t24))) % 46.02/46.29 (assume @p16 (forall @t20 (=> (and @t28 @t25) (<= @t22 0)))) % 46.02/46.29 (assume @p17 (forall @t20 (=> (and @t18 @t23) (<= 0 @t21)))) % 46.02/46.29 (assume @p18 (forall @t20 (=> (and @t28 @t23) (<= @t21 0)))) % 46.02/46.29 (assume @p19 (forall @t20 (=> @t23 (<= (tptp.abs (* @t22 @t12)) @t17)))) % 46.02/46.29 (assume @p20 (forall @t19 (= (tptp.div @t13 1) @t13))) % 46.02/46.29 (assume @p21 (forall @t19 (= (tptp.mod @t13 1) 0))) % 46.02/46.29 (assume @p22 (forall @t20 (=> @t29 (= @t22 0)))) % 46.02/46.29 (assume @p23 (forall @t20 (=> @t29 (= @t21 @t13)))) % 46.02/46.29 (assume @p24 (forall @t16 (=> @t32 (= (tptp.div @t30 @t13) (+ @t12 (tptp.div @t11 @t13)))))) % 46.02/46.29 (assume @p25 (forall @t16 (=> @t32 (= (tptp.mod @t30 @t13) (tptp.mod @t11 @t13))))) % 46.02/46.29 (assume @p26 (forall (@list @t33 @t35) (= @t36 (exists (@list @t34) (= @t35 (* @t34 @t33)))))) % 46.02/46.29 (assume @p27 (forall @t37 (tptp.divides @t35 @t35))) % 46.02/46.29 (assume @p28 (forall @t37 (tptp.divides 1 @t35))) % 46.02/46.29 (assume @p29 (forall @t37 (tptp.divides @t35 0))) % 46.02/46.29 (assume @p30 (forall @t44 (=> @t43 (tptp.divides @t42 @t40)))) % 46.02/46.29 (assume @p31 (forall @t44 (=> @t43 (tptp.divides (* @t41 @t39) @t45)))) % 46.02/46.29 (assume @p32 (forall @t48 (=> @t43 @t47))) % 46.02/46.29 (assume @p33 (forall @t48 (=> @t43 @t50))) % 46.02/46.29 (assume @p34 (forall @t48 (=> @t50 @t43))) % 46.02/46.29 (assume @p35 (forall @t48 (=> @t47 @t43))) % 46.02/46.29 (assume @p36 (forall @t44 (=> @t43 (=> @t51 (tptp.divides @t41 (+ @t38 @t39)))))) % 46.02/46.29 (assume @p37 (forall @t44 (=> @t43 (=> @t51 (tptp.divides @t41 (- @t38 @t39)))))) % 46.02/46.29 (assume @p38 (forall @t44 (=> @t43 (tptp.divides @t41 @t40)))) % 46.02/46.29 (assume @p39 (forall @t44 (=> @t43 @t52))) % 46.02/46.29 (assume @p40 (forall @t48 (tptp.divides @t41 (* @t38 @t41)))) % 46.02/46.29 (assume @p41 (forall @t48 (tptp.divides @t41 @t53))) % 46.02/46.29 (assume @p42 (forall @t37 (=> (tptp.divides @t35 1) (or (= @t35 1) (= @t35 @t54))))) % 46.02/46.29 (assume @p43 (forall @t48 (=> @t43 (=> @t55 (or (= @t41 @t38) (= @t41 @t46)))))) % 46.02/46.29 (assume @p44 (forall @t44 (=> @t43 (=> (tptp.divides @t38 @t39) @t51)))) % 46.02/46.29 (assume @p45 (forall @t48 (=> @t43 (=> @t56 (<= (tptp.abs @t41) (tptp.abs @t38)))))) % 46.02/46.29 (assume @p46 (forall @t16 (=> @t31 (= @t64 (+ @t12 @t61))))) % 46.02/46.29 (assume @p47 (forall @t16 (=> @t31 (= (to_int (- @t62 (* (to_real @t64) @t57))) (to_int (- @t58 (* (to_real @t61) @t57))))))) % 46.02/46.29 (assume @p48 (forall @t48 (=> @t56 (=> @t69 @t55)))) % 46.02/46.29 (assume @p49 (forall @t48 (=> @t56 (=> @t55 @t69)))) % 46.02/46.29 (assume @p50 (forall @t48 (=> @t56 (=> @t71 @t55)))) % 46.02/46.29 (assume @p51 (forall @t48 (=> @t56 (=> @t55 @t71)))) % 46.02/46.29 (assume @p52 (forall @t37 (= @t75 (exists @t74 (= @t35 @t73))))) % 46.02/46.29 (assume @p53 (forall @t37 (= @t77 (exists @t74 (= @t35 @t76))))) % 46.02/46.29 (assume @p54 (forall @t37 (or @t75 @t77))) % 46.02/46.29 (assume @p55 (forall @t37 (=> @t75 (not @t77)))) % 46.02/46.29 (assume @p56 (forall @t37 (=> @t77 (not @t75)))) % 46.02/46.29 (assume @p57 (forall @t37 (=> @t75 (tptp.odd @t78)))) % 46.02/46.29 (assume @p58 (forall @t37 (=> @t77 (tptp.even @t78)))) % 46.02/46.29 (assume @p59 (forall @t37 (=> @t75 (tptp.even @t79)))) % 46.02/46.29 (assume @p60 (forall @t37 (=> @t77 (tptp.odd @t79)))) % 46.02/46.29 (assume @p61 (forall @t74 (tptp.even @t73))) % 46.02/46.29 (assume @p62 (forall @t74 (tptp.odd @t76))) % 46.02/46.29 (assume @p63 (forall @t81 (= (tptp.even @t41) @t80))) % 46.02/46.29 (assume @p64 (forall @t81 (= (tptp.odd @t41) (not @t80)))) % 46.02/46.29 (assume @p65 (forall @t86 (= @t85 (and @t84 (forall @t37 (=> (and (< 1 @t35) @t83) (not (tptp.divides @t35 @t82)))))))) % 46.02/46.29 (assume @p66 (not (tptp.prime 1))) % 46.02/46.29 (assume @p67 (tptp.prime 2)) % 46.02/46.29 (assume @p68 (tptp.prime 3)) % 46.02/46.29 (assume @p69 (forall @t86 (=> @t85 (forall @t88 (=> @t87 (or (= @t33 1) (= @t33 @t54) (= @t33 @t82) (= @t33 (- @t82)))))))) % 46.02/46.29 (assume @p70 (forall @t86 (=> @t84 (=> (forall @t88 (=> @t90 (=> (tptp.prime @t33) (=> (and (< 1 @t89) (<= @t89 @t82)) (not @t87))))) @t85)))) % 46.02/46.29 (assume @p71 (forall @t86 (=> @t85 (=> (tptp.even @t82) (= @t82 2))))) % 46.02/46.29 (assume @p72 (forall @t86 (=> @t85 (=> (<= 3 @t82) (tptp.odd @t82))))) % 46.02/46.29 (assume @p73 (forall @t48 (<= 0 @t91))) % 46.02/46.29 (assume @p74 (forall @t48 (tptp.divides @t91 @t41))) % 46.02/46.29 (assume @p75 (forall @t48 (tptp.divides @t91 @t38))) % 46.02/46.29 (assume @p76 (forall (@list @t41 @t38 @t13) (=> @t93 (=> @t92 (tptp.divides @t13 @t91))))) % 46.02/46.29 (assume @p77 (forall (@list @t41 @t38 @t33) (=> (<= 0 @t33) (=> (tptp.divides @t33 @t41) (=> (tptp.divides @t33 @t38) (=> (forall @t19 (=> @t93 (=> @t92 (tptp.divides @t13 @t33)))) (= @t33 @t91))))))) % 46.02/46.29 (assume @p78 (forall @t16 (= (tptp.gcd @t94 @t11) (tptp.gcd @t13 (tptp.gcd @t12 @t11))))) % 46.02/46.29 (assume @p79 (forall @t20 (= @t94 (tptp.gcd @t12 @t13)))) % 46.02/46.29 (assume @p80 (forall @t81 (=> (<= 0 @t41) (= @t95 @t41)))) % 46.02/46.29 (assume @p81 (forall @t81 (=> (< @t41 0) (= @t95 @t49)))) % 46.02/46.29 (assume @p82 (forall @t48 (= @t91 (tptp.gcd @t49 @t38)))) % 46.02/46.29 (assume @p83 (forall (@list @t41 @t38 @t34) (= @t91 (tptp.gcd @t41 (- @t38 (* @t34 @t41)))))) % 46.02/46.29 (assume @p84 (forall @t48 (=> @t56 (= (tptp.gcd @t38 @t70) @t91)))) % 46.02/46.29 (assume @p85 (forall @t48 (=> @t56 (= (tptp.gcd @t38 @t68) @t91)))) % 46.02/46.29 (assume @p86 (forall @t44 (=> (<= 0 @t39) (= (tptp.gcd @t42 @t40) (* @t39 @t91))))) % 46.02/46.29 (assume @p87 (forall @t48 (= @t96 (= @t91 1)))) % 46.02/46.29 (assume @p88 @t103) % 46.02/46.29 (assume @p89 (forall @t44 (=> (and @t52 @t96) @t51))) % 46.02/46.29 (assume @p90 (forall (@list @t82 @t41 @t38) (=> (and @t85 (tptp.divides @t82 @t53)) (or (tptp.divides @t82 @t41) (tptp.divides @t82 @t38))))) % 46.02/46.29 (assume @p91 (forall @t44 (=> @t96 (= (tptp.gcd @t41 @t45) (tptp.gcd @t41 @t39))))) % 46.02/46.29 (assume @p92 (forall @t106 (tptp.sort @t105 (tptp.mk_ref @t1 @t104)))) % 46.02/46.29 (assume @p93 (forall @t106 (tptp.sort @t1 (tptp.contents @t1 @t104)))) % 46.02/46.29 (assume @p94 (forall @t109 (=> @t108 (= (tptp.contents @t1 (tptp.mk_ref @t1 @t107)) @t107)))) % 46.02/46.29 (assume @p95 (forall @t109 (=> (tptp.sort @t105 @t107) (= @t107 (tptp.mk_ref @t1 (tptp.contents @t1 @t107)))))) % 46.02/46.29 (assume @p96 (forall @t2 (tptp.sort @t111 @t110))) % 46.02/46.29 (assume @p97 (forall (@list @t1 @t104 @t4) (tptp.sort @t111 (tptp.cons @t1 @t104 @t4)))) % 46.02/46.29 (assume @p98 (forall (@list @t1 @t112 @t104 @t4 @t3) (tptp.sort @t112 (tptp.match_list @t112 @t1 @t104 @t4 @t3)))) % 46.02/46.29 (assume @p99 (forall (@list @t1 @t112 @t6 @t7) (=> (tptp.sort @t112 @t6) (= (tptp.match_list @t112 @t1 @t110 @t6 @t7) @t6)))) % 46.02/46.29 (assume @p100 (forall (@list @t1 @t112 @t6 @t7 @t107 @t113) (=> (tptp.sort @t112 @t7) (= (tptp.match_list @t112 @t1 @t114 @t6 @t7) @t7)))) % 46.02/46.29 (assume @p101 (forall (@list @t1 @t116 @t115) (not (= @t110 (tptp.cons @t1 @t116 @t115))))) % 46.02/46.29 (assume @p102 (forall @t106 (tptp.sort @t1 (tptp.cons_proj_1 @t1 @t104)))) % 46.02/46.29 (assume @p103 (forall @t117 (=> @t108 (= (tptp.cons_proj_1 @t1 @t114) @t107)))) % 46.02/46.29 (assume @p104 (forall @t106 (tptp.sort @t111 (tptp.cons_proj_2 @t1 @t104)))) % 46.02/46.29 (assume @p105 (forall @t117 (= (tptp.cons_proj_2 @t1 @t114) @t113))) % 46.02/46.29 (assume @p106 (forall @t109 (or (= @t107 @t110) (= @t107 (tptp.cons @t1 (tptp.cons_proj_1 @t1 @t107) (tptp.cons_proj_2 @t1 @t107)))))) % 46.02/46.29 (assume @p107 (forall (@list @t118) (tptp.sort (tptp.list tptp.int) (tptp.t2tb @t118)))) % 46.02/46.29 (assume @p108 (forall (@list @t119) (= (tptp.tb2t (tptp.t2tb @t119)) @t119))) % 46.02/46.29 (assume @p109 (forall @t121 (= (tptp.t2tb (tptp.tb2t @t120)) @t120))) % 46.02/46.29 (assume @p110 (forall @t19 (tptp.sort tptp.int (tptp.t2tb1 @t13)))) % 46.02/46.29 (assume @p111 (forall @t123 (= (tptp.tb2t1 (tptp.t2tb1 @t122)) @t122))) % 46.02/46.29 (assume @p112 (forall @t121 (= (tptp.t2tb1 (tptp.tb2t1 @t120)) @t120))) % 46.02/46.29 (assume @p113 @t233) % 46.02/46.29 (assume @p114 true) % 46.02/46.29 (step @p115 :rule aci_norm :args ((= (or (or @t237 @t235) @t97) (or @t237 @t235 @t97)))) % 46.02/46.29 (step @p116 :rule refl :args (@t97)) % 46.02/46.29 (step @p117 :rule bool-double-not-elim :args (@t235)) % 46.02/46.29 (step @p118 :rule refl :args (@t237)) % 46.02/46.29 (step @p119 :rule nary_cong :premises (@p118 @p117) :args ((or @t237 (not @t238)))) % 46.02/46.29 (step @p120 :rule bool-and-de-morgan :args (@t236 @t238 true)) % 46.02/46.29 (step @p121 :rule trans :premises (@p120 @p119)) % 46.02/46.29 (step @p122 :rule nary_cong :premises (@p121 @p116) :args ((or (not @t239) @t97))) % 46.02/46.29 (step @p123 :rule trans :premises (@p122 @p115)) % 46.02/46.29 (step @p124 :rule bool-impl-elim :args (@t239 @t97)) % 46.02/46.29 (step @p125 :rule trans :premises (@p124 @p123)) % 46.02/46.29 (step @p126 :rule cong :premises (@p125) :args ((forall @t37 (=> @t239 @t97)))) % 46.02/46.29 (step @p127 :rule refl :args (@t97)) % 46.02/46.29 (step @p128 :rule arith_poly_norm :args ((= (* 1 (- @t35 @t82)) (* 1 (- @t234 0))))) % 46.02/46.29 (step @p129 :rule arith_poly_norm_rel :premises (@p128) :args ((= @t240 @t235))) % 46.02/46.29 (step @p130 :rule cong :premises (@p129) :args ((not @t240))) % 46.02/46.29 (step @p131 :rule arith-elim-lt :args (@t35 @t82)) % 46.02/46.29 (step @p132 :rule trans :premises (@p131 @p130)) % 46.02/46.29 (step @p133 :rule arith-elim-leq :args (1 @t35)) % 46.02/46.29 (step @p134 :rule nary_cong :premises (@p133 @p132) :args (@t98)) % 46.02/46.29 (step @p135 :rule cong :premises (@p134 @p127) :args (@t99)) % 46.02/46.29 (step @p136 :rule cong :premises (@p135) :args (@t100)) % 46.02/46.29 (step @p137 :rule trans :premises (@p136 @p126)) % 46.02/46.29 (step @p138 :rule arith-elim-leq :args (2 @t82)) % 46.02/46.29 (step @p139 :rule nary_cong :premises (@p138 @p137) :args (@t101)) % 46.02/46.29 (step @p140 :rule refl :args (@t85)) % 46.02/46.29 (step @p141 :rule cong :premises (@p140 @p139) :args (@t102)) % 46.02/46.29 (step @p142 :rule cong :premises (@p141) :args (@t103)) % 46.02/46.29 (step @p143 :rule eq_resolve :premises (@p88 @p142)) % 46.02/46.29 (step @p144 :rule instantiate :premises (@p143) :args ((@list @t297))) % 46.02/46.29 (step @p145 :rule refl :args (@t243)) % 46.02/46.29 (step @p146 :rule arith_poly_norm :args ((= (* -1 (- 1 @t300)) (* -1 (- @t299 0))))) % 46.02/46.29 (step @p147 :rule arith_poly_norm_rel :premises (@p146) :args ((= (>= 1 @t300) (>= @t299 0)))) % 46.02/46.29 (step @p148 :rule arith-geq-tighten :args (@t245 1)) % 46.02/46.29 (step @p149 :rule trans :premises (@p148 @p147)) % 46.02/46.29 (step @p150 :rule symm :premises (@p149)) % 46.02/46.29 (step @p151 :rule refl :args (0)) % 46.02/46.29 (step @p152 :rule arith_poly_norm :args ((= @t301 @t299))) % 46.02/46.29 (step @p153 :rule cong :premises (@p152 @p151) :args (@t302)) % 46.02/46.29 (step @p154 :rule trans :premises (@p153 @p150)) % 46.02/46.29 (step @p155 :rule refl :args (@t217)) % 46.02/46.29 (step @p156 :rule refl :args (@t246)) % 46.02/46.29 (step @p157 :rule nary_cong :premises (@p156 @p155 @p154 @p145) :args (@t303)) % 46.02/46.29 (step @p158 :rule cong :premises (@p157) :args (@t304)) % 46.02/46.29 (step @p159 :rule cong :premises (@p158) :args (@t305)) % 46.02/46.29 (step @p160 :rule refl :args (@t247)) % 46.02/46.29 (step @p161 :rule refl :args (@t248)) % 46.02/46.29 (step @p162 :rule bool-double-not-elim :args (@t249)) % 46.02/46.29 (step @p163 :rule arith_poly_norm :args ((= (* -1 (- 0 @t300)) (* -1 (- @t299 1))))) % 46.02/46.29 (step @p164 :rule arith_poly_norm_rel :premises (@p163) :args ((= (>= 0 @t300) (>= @t299 1)))) % 46.02/46.29 (step @p165 :rule arith-geq-tighten :args (@t245 0)) % 46.02/46.29 (step @p166 :rule trans :premises (@p165 @p164)) % 46.02/46.29 (step @p167 :rule symm :premises (@p166)) % 46.02/46.29 (step @p168 :rule refl :args (1)) % 46.02/46.29 (step @p169 :rule cong :premises (@p152 @p168) :args (@t306)) % 46.02/46.29 (step @p170 :rule trans :premises (@p169 @p167)) % 46.02/46.29 (step @p171 :rule cong :premises (@p170) :args (@t307)) % 46.02/46.29 (step @p172 :rule trans :premises (@p171 @p162)) % 46.02/46.29 (step @p173 :rule refl :args (@t251)) % 46.02/46.29 (step @p174 :rule nary_cong :premises (@p173 @p172 @p155) :args (@t308)) % 46.02/46.29 (step @p175 :rule cong :premises (@p174) :args (@t309)) % 46.02/46.29 (step @p176 :rule cong :premises (@p175) :args (@t310)) % 46.02/46.29 (step @p177 :rule refl :args (@t252)) % 46.02/46.29 (step @p178 :rule arith_poly_norm :args ((= (* -1 (- 0 @t313)) (* -1 (- @t312 1))))) % 46.02/46.29 (step @p179 :rule arith_poly_norm_rel :premises (@p178) :args ((= (>= 0 @t313) (>= @t312 1)))) % 46.02/46.29 (step @p180 :rule arith-geq-tighten :args (@t253 0)) % 46.02/46.29 (step @p181 :rule trans :premises (@p180 @p179)) % 46.02/46.29 (step @p182 :rule symm :premises (@p181)) % 46.02/46.29 (step @p183 :rule arith_poly_norm :args ((= @t314 @t312))) % 46.02/46.29 (step @p184 :rule cong :premises (@p183 @p168) :args (@t315)) % 46.02/46.29 (step @p185 :rule trans :premises (@p184 @p182)) % 46.02/46.29 (step @p186 :rule refl :args (@t254)) % 46.02/46.29 (step @p187 :rule refl :args (@t257)) % 46.02/46.29 (step @p188 :rule refl :args (@t259)) % 46.02/46.29 (step @p189 :rule refl :args (@t262)) % 46.02/46.29 (step @p190 :rule refl :args (@t263)) % 46.02/46.29 (step @p191 :rule refl :args (@t264)) % 46.02/46.29 (step @p192 :rule refl :args (@t265)) % 46.02/46.29 (step @p193 :rule refl :args (@t267)) % 46.02/46.29 (step @p194 :rule refl :args (@t268)) % 46.02/46.29 (step @p195 :rule refl :args (@t269)) % 46.02/46.29 (step @p196 :rule refl :args (@t270)) % 46.02/46.29 (step @p197 :rule refl :args (@t274)) % 46.02/46.29 (step @p198 :rule refl :args (@t275)) % 46.02/46.29 (step @p199 :rule refl :args (@t276)) % 46.02/46.29 (step @p200 :rule refl :args (@t277)) % 46.02/46.29 (step @p201 :rule refl :args (@t281)) % 46.02/46.29 (step @p202 :rule refl :args (@t282)) % 46.02/46.29 (step @p203 :rule refl :args (@t283)) % 46.02/46.29 (step @p204 :rule refl :args (@t284)) % 46.02/46.29 (step @p205 :rule refl :args (@t285)) % 46.02/46.29 (step @p206 :rule refl :args (@t286)) % 46.02/46.29 (step @p207 :rule refl :args (@t287)) % 46.02/46.29 (step @p208 :rule refl :args (@t288)) % 46.02/46.29 (step @p209 :rule refl :args (@t289)) % 46.02/46.29 (step @p210 :rule refl :args (@t290)) % 46.02/46.29 (step @p211 :rule refl :args (@t291)) % 46.02/46.29 (step @p212 :rule refl :args (@t292)) % 46.02/46.29 (step @p213 :rule refl :args (@t294)) % 46.02/46.29 (step @p214 :rule nary_cong :premises (@p213 @p212 @p211 @p210 @p209 @p208 @p207 @p206 @p205 @p204 @p203 @p202 @p201 @p200 @p199 @p198 @p197 @p196 @p195 @p194 @p193 @p192 @p191 @p190 @p189 @p188 @p187 @p186 @p185 @p177 @p176 @p161 @p160 @p159) :args (@t316)) % 46.02/46.29 (step @p215 :rule aci_norm :args ((= @t319 @t316))) % 46.02/46.29 (step @p216 :rule trans :premises (@p215 @p214)) % 46.02/46.29 (step @p217 :rule cong :premises (@p216) :args (@t320)) % 46.02/46.29 (step @p218 :rule quant-merge-prenex :args ((= (forall @t37 @t321) @t320))) % 46.02/46.29 (step @p219 :rule alpha_equiv :args (@t322 (@list @t241) (@list @t33))) % 46.02/46.29 (step @p220 :rule alpha_equiv :args (@t323 (@list @t258 @t261 @t256 @t255) (@list @t129 @t132 @t325 @t324))) % 46.02/46.29 (step @p221 :rule refl :args (@t294)) % 46.02/46.29 (step @p222 :rule nary_cong :premises (@p221 @p220 @p219) :args (@t326)) % 46.02/46.29 (step @p223 :rule quant-miniscope-or :args ((= @t321 @t326))) % 46.02/46.29 (step @p224 :rule trans :premises (@p223 @p222)) % 46.02/46.29 (step @p225 :rule symm :premises (@p224)) % 46.02/46.29 (step @p226 :rule cong :premises (@p225) :args ((forall @t37 @t401))) % 46.02/46.29 (step @p227 :rule trans :premises (@p226 @p218)) % 46.02/46.29 (step @p228 :rule trans :premises (@p227 @p217)) % 46.02/46.29 (step @p229 :rule aci_norm :args ((= (or @t294 @t401) @t401))) % 46.02/46.29 (step @p230 :rule aci_norm :args ((= (or @t294 @t402) @t401))) % 46.02/46.29 (step @p231 :rule bool-impl-elim :args (@t293 @t402)) % 46.02/46.29 (step @p232 :rule trans :premises (@p231 @p230)) % 46.02/46.29 (step @p233 :rule nary_cong :premises (@p221 @p232) :args ((or @t294 @t403))) % 46.02/46.29 (step @p234 :rule trans :premises (@p233 @p229)) % 46.02/46.29 (step @p235 :rule bool-impl-elim :args (@t293 @t403)) % 46.02/46.29 (step @p236 :rule trans :premises (@p235 @p234)) % 46.02/46.29 (step @p237 :rule cong :premises (@p236) :args ((forall @t37 (=> @t293 @t403)))) % 46.02/46.29 (step @p238 :rule trans :premises (@p237 @p228)) % 46.02/46.29 (step @p239 :rule quant-miniscope-or :args ((= (forall @t88 @t404) @t402))) % 46.02/46.29 (step @p240 :rule aci_norm :args ((= @t405 @t404))) % 46.02/46.29 (step @p241 :rule cong :premises (@p240) :args ((forall @t88 @t405))) % 46.02/46.29 (step @p242 :rule trans :premises (@p241 @p239)) % 46.02/46.29 (step @p243 :rule aci_norm :args ((= (or (or @t345 @t343 @t341 @t340) @t406) @t405))) % 46.02/46.29 (step @p244 :rule refl :args (@t406)) % 46.02/46.29 (step @p245 :rule refl :args (@t340)) % 46.02/46.29 (step @p246 :rule refl :args (@t341)) % 46.02/46.29 (step @p247 :rule bool-double-not-elim :args (@t343)) % 46.02/46.29 (step @p248 :rule refl :args (@t345)) % 46.02/46.29 (step @p249 :rule nary_cong :premises (@p248 @p247 @p246 @p245) :args (@t409)) % 46.02/46.29 (step @p250 :rule aci_norm :args ((= (or @t345 (or @t408 (or @t341 @t340))) @t409))) % 46.02/46.29 (step @p251 :rule trans :premises (@p250 @p249)) % 46.02/46.29 (step @p252 :rule bool-and-de-morgan :args (@t36 @t339 true)) % 46.02/46.29 (step @p253 :rule refl :args (@t408)) % 46.02/46.29 (step @p254 :rule nary_cong :premises (@p253 @p252) :args ((or @t408 (not (and @t36 @t339))))) % 46.02/46.29 (step @p255 :rule bool-and-de-morgan :args (@t407 @t36 (and @t339))) % 46.02/46.29 (step @p256 :rule trans :premises (@p255 @p254)) % 46.02/46.29 (step @p257 :rule nary_cong :premises (@p248 @p256) :args ((or @t345 (not (and @t407 @t36 @t339))))) % 46.02/46.29 (step @p258 :rule bool-and-de-morgan :args (@t344 @t407 (and @t36 @t339))) % 46.02/46.29 (step @p259 :rule trans :premises (@p258 @p257)) % 46.02/46.29 (step @p260 :rule trans :premises (@p259 @p251)) % 46.02/46.29 (step @p261 :rule nary_cong :premises (@p260 @p244) :args ((or (not @t410) @t406))) % 46.02/46.29 (step @p262 :rule trans :premises (@p261 @p243)) % 46.02/46.29 (step @p263 :rule bool-impl-elim :args (@t410 @t406)) % 46.02/46.29 (step @p264 :rule trans :premises (@p263 @p262)) % 46.02/46.29 (step @p265 :rule cong :premises (@p264) :args ((forall @t88 (=> @t410 @t406)))) % 46.02/46.29 (step @p266 :rule trans :premises (@p265 @p242)) % 46.02/46.29 (step @p267 :rule aci_norm :args ((= (or @t335 @t332 @t331 @t400 false) @t406))) % 46.02/46.29 (step @p268 :rule evaluate :args ((not true))) % 46.02/46.29 (step @p269 :rule eq-refl :args (@t211)) % 46.02/46.29 (step @p270 :rule cong :premises (@p269) :args (@t411)) % 46.02/46.29 (step @p271 :rule trans :premises (@p270 @p268)) % 46.02/46.29 (step @p272 :rule quant-var-elim-eq :args ((= (forall @t215 @t413) @t411))) % 46.02/46.29 (step @p273 :rule aci_norm :args ((= @t412 @t413))) % 46.02/46.29 (step @p274 :rule cong :premises (@p273) :args (@t414)) % 46.02/46.29 (step @p275 :rule trans :premises (@p274 @p272)) % 46.02/46.29 (step @p276 :rule trans :premises (@p275 @p271)) % 46.02/46.29 (step @p277 :rule refl :args (@t400)) % 46.02/46.29 (step @p278 :rule refl :args (@t331)) % 46.02/46.29 (step @p279 :rule refl :args (@t332)) % 46.02/46.29 (step @p280 :rule refl :args (@t335)) % 46.02/46.29 (step @p281 :rule nary_cong :premises (@p280 @p279 @p278 @p277 @p276) :args (@t415)) % 46.02/46.29 (step @p282 :rule trans :premises (@p281 @p267)) % 46.02/46.29 (step @p283 :rule quant-miniscope-or :args ((= (forall @t215 @t416) @t415))) % 46.02/46.29 (step @p284 :rule aci_norm :args ((= @t417 @t416))) % 46.02/46.29 (step @p285 :rule cong :premises (@p284) :args ((forall @t215 @t417))) % 46.02/46.29 (step @p286 :rule trans :premises (@p285 @p283)) % 46.02/46.29 (step @p287 :rule trans :premises (@p286 @p282)) % 46.02/46.29 (step @p288 :rule aci_norm :args ((= (or @t412 @t406) @t417))) % 46.02/46.29 (step @p289 :rule aci_norm :args ((= (or (or @t335 @t332) (or @t331 @t400)) @t406))) % 46.02/46.29 (step @p290 :rule bool-impl-elim :args (@t330 @t400)) % 46.02/46.29 (step @p291 :rule bool-and-de-morgan :args (@t334 @t206 true)) % 46.02/46.29 (step @p292 :rule nary_cong :premises (@p291 @p290) :args ((or (not @t419) @t418))) % 46.02/46.29 (step @p293 :rule trans :premises (@p292 @p289)) % 46.02/46.29 (step @p294 :rule bool-impl-elim :args (@t419 @t418)) % 46.02/46.29 (step @p295 :rule trans :premises (@p294 @p293)) % 46.02/46.29 (step @p296 :rule refl :args (@t412)) % 46.02/46.29 (step @p297 :rule nary_cong :premises (@p296 @p295) :args ((or @t412 @t420))) % 46.02/46.29 (step @p298 :rule trans :premises (@p297 @p288)) % 46.02/46.29 (step @p299 :rule bool-impl-elim :args (@t213 @t420)) % 46.02/46.29 (step @p300 :rule trans :premises (@p299 @p298)) % 46.02/46.29 (step @p301 :rule cong :premises (@p300) :args ((forall @t215 (=> @t213 @t420)))) % 46.02/46.29 (step @p302 :rule trans :premises (@p301 @p287)) % 46.02/46.29 (step @p303 :rule aci_norm :args ((= @t422 @t398))) % 46.02/46.29 (step @p304 :rule cong :premises (@p303) :args (@t423)) % 46.02/46.29 (step @p305 :rule quant-merge-prenex :args ((= (forall @t426 @t425) @t423))) % 46.02/46.29 (step @p306 :rule alpha_equiv :args (@t427 (@list @t325 @t324) (@list @t124 @t428))) % 46.02/46.29 (step @p307 :rule refl :args (@t370)) % 46.02/46.29 (step @p308 :rule refl :args (@t373)) % 46.02/46.29 (step @p309 :rule refl :args (@t374)) % 46.02/46.29 (step @p310 :rule refl :args (@t376)) % 46.02/46.29 (step @p311 :rule refl :args (@t381)) % 46.02/46.29 (step @p312 :rule refl :args (@t385)) % 46.02/46.29 (step @p313 :rule refl :args (@t386)) % 46.02/46.29 (step @p314 :rule refl :args (@t387)) % 46.02/46.29 (step @p315 :rule refl :args (@t390)) % 46.02/46.29 (step @p316 :rule 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:premises (@p718 @p717)) % 46.02/46.29 (step @p720 :rule cong :premises (@p719) :args ((forall @t123 (=> @t562 @t130)))) % 46.02/46.29 (step @p721 :rule nary_cong :premises (@p612 @p611 @p609) :args (@t187)) % 46.02/46.29 (step @p722 :rule cong :premises (@p721 @p598) :args (@t188)) % 46.02/46.29 (step @p723 :rule cong :premises (@p722) :args (@t189)) % 46.02/46.29 (step @p724 :rule trans :premises (@p723 @p720)) % 46.02/46.29 (step @p725 :rule aci_norm :args ((= (or (or @t165 @t251) @t382) @t383))) % 46.02/46.29 (step @p726 :rule refl :args (@t382)) % 46.02/46.29 (step @p727 :rule bool-and-de-morgan :args (@t130 @t250 true)) % 46.02/46.29 (step @p728 :rule nary_cong :premises (@p727 @p726) :args ((or (not @t563) @t382))) % 46.02/46.29 (step @p729 :rule trans :premises (@p728 @p725)) % 46.02/46.29 (step @p730 :rule bool-impl-elim :args (@t563 @t382)) % 46.02/46.29 (step @p731 :rule trans :premises (@p730 @p729)) % 46.02/46.29 (step @p732 :rule cong :premises (@p731) :args ((forall @t123 (=> @t563 @t382)))) % 46.02/46.29 (step @p733 :rule arith_poly_norm_rel :premises (@p687) :args (@t560)) % 46.02/46.29 (step @p734 :rule arith-elim-leq :args (@t132 @t122)) % 46.02/46.29 (step @p735 :rule trans :premises (@p734 @p733)) % 46.02/46.29 (step @p736 :rule nary_cong :premises (@p735 @p611) :args (@t190)) % 46.02/46.29 (step @p737 :rule nary_cong :premises (@p598 @p658) :args (@t191)) % 46.02/46.29 (step @p738 :rule cong :premises (@p737 @p736) :args (@t192)) % 46.02/46.29 (step @p739 :rule cong :premises (@p738) :args (@t193)) % 46.02/46.29 (step @p740 :rule trans :premises (@p739 @p732)) % 46.02/46.29 (step @p741 :rule refl :args (@t194)) % 46.02/46.29 (step @p742 :rule refl :args (@t195)) % 46.02/46.29 (step @p743 :rule arith_poly_norm :args ((= (* 1 (- @t35 @t132)) (* 1 (- @t388 0))))) % 46.02/46.29 (step @p744 :rule arith_poly_norm_rel :premises (@p743) :args ((= (>= @t35 @t132) @t389))) % 46.02/46.29 (step @p745 :rule arith-elim-leq :args (@t132 @t35)) % 46.02/46.29 (step @p746 :rule trans :premises (@p745 @p744)) % 46.02/46.29 (step @p747 :rule arith_poly_norm :args ((= (* 1 (- @t35 @t129)) (* 1 (- @t393 0))))) % 46.02/46.29 (step @p748 :rule arith_poly_norm_rel :premises (@p747) :args ((= (>= @t35 @t129) @t394))) % 46.02/46.29 (step @p749 :rule arith-elim-leq :args (@t129 @t35)) % 46.02/46.29 (step @p750 :rule trans :premises (@p749 @p748)) % 46.02/46.29 (step @p751 :rule arith-elim-leq :args (1 @t129)) % 46.02/46.29 (step @p752 :rule nary_cong :premises (@p751 @p750 @p700 @p746 @p742 @p741 @p740 @p724) :args (@t196)) % 46.02/46.29 (step @p753 :rule cong :premises (@p752 @p707) :args (@t197)) % 46.02/46.29 (step @p754 :rule cong :premises (@p753) :args (@t199)) % 46.02/46.29 (step @p755 :rule trans :premises (@p754 @p386)) % 46.02/46.29 (step @p756 :rule aci_norm :args ((= (or (or @t246 @t217 @t328) @t201) @t329))) % 46.02/46.29 (step @p757 :rule refl :args (@t201)) % 46.02/46.29 (step @p758 :rule bool-double-not-elim :args (@t328)) % 46.02/46.29 (step @p759 :rule refl :args (@t217)) % 46.02/46.29 (step @p760 :rule nary_cong :premises (@p573 @p759 @p758) :args (@t566)) % 46.02/46.29 (step @p761 :rule aci_norm :args ((= (or @t246 (or @t217 @t565)) @t566))) % 46.02/46.29 (step @p762 :rule trans :premises (@p761 @p760)) % 46.02/46.29 (step @p763 :rule bool-and-de-morgan :args (@t135 @t564 true)) % 46.02/46.29 (step @p764 :rule nary_cong :premises (@p573 @p763) :args ((or @t246 (not (and @t135 @t564))))) % 46.02/46.29 (step @p765 :rule bool-and-de-morgan :args (@t136 @t135 (and @t564))) % 46.02/46.29 (step @p766 :rule trans :premises (@p765 @p764)) % 46.02/46.29 (step @p767 :rule trans :premises (@p766 @p762)) % 46.02/46.29 (step @p768 :rule nary_cong :premises (@p767 @p757) :args ((or (not @t567) @t201))) % 46.02/46.29 (step @p769 :rule trans :premises (@p768 @p756)) % 46.02/46.29 (step @p770 :rule bool-impl-elim :args (@t567 @t201)) % 46.02/46.29 (step @p771 :rule trans :premises (@p770 @p769)) % 46.02/46.29 (step @p772 :rule cong :premises (@p771) :args ((forall @t123 (=> @t567 @t201)))) % 46.02/46.29 (step @p773 :rule refl :args (@t201)) % 46.02/46.29 (step @p774 :rule arith_poly_norm :args ((= (* 1 (- @t33 @t122)) (* 1 (- @t327 0))))) % 46.02/46.29 (step @p775 :rule arith_poly_norm_rel :premises (@p774) :args ((= @t568 @t328))) % 46.02/46.29 (step @p776 :rule cong :premises (@p775) :args ((not @t568))) % 46.02/46.29 (step @p777 :rule arith-elim-lt :args (@t33 @t122)) % 46.02/46.29 (step @p778 :rule trans :premises (@p777 @p776)) % 46.02/46.29 (step @p779 :rule nary_cong :premises (@p612 @p611 @p778) :args (@t202)) % 46.02/46.29 (step @p780 :rule cong :premises (@p779 @p773) :args (@t203)) % 46.02/46.29 (step @p781 :rule cong :premises (@p780) :args (@t204)) % 46.02/46.29 (step @p782 :rule trans :premises (@p781 @p772)) % 46.02/46.29 (step @p783 :rule cong :premises (@p782 @p755) :args (@t205)) % 46.02/46.29 (step @p784 :rule refl :args (@t206)) % 46.02/46.29 (step @p785 :rule arith_poly_norm :args ((= (* 1 (- @t333 @t35)) (* -1 (- @t35 @t333))))) % 46.02/46.29 (step @p786 :rule arith_poly_norm_rel :premises (@p785) :args ((= (= @t333 @t35) @t334))) % 46.02/46.29 (step @p787 :rule refl :args (@t35)) % 46.02/46.29 (step @p788 :rule arith_poly_norm :args ((= @t207 @t333))) % 46.02/46.29 (step @p789 :rule cong :premises (@p788 @p787) :args (@t208)) % 46.02/46.29 (step @p790 :rule trans :premises (@p789 @p786)) % 46.02/46.29 (step @p791 :rule nary_cong :premises (@p790 @p784) :args (@t209)) % 46.02/46.29 (step @p792 :rule cong :premises (@p791 @p783) :args (@t210)) % 46.02/46.29 (step @p793 :rule refl :args (@t213)) % 46.02/46.29 (step @p794 :rule cong :premises (@p793 @p792) :args (@t214)) % 46.02/46.29 (step @p795 :rule cong :premises (@p794) :args (@t216)) % 46.02/46.29 (step @p796 :rule trans :premises (@p795 @p302)) % 46.02/46.29 (step @p797 :rule aci_norm :args ((= (or (or @t251 @t337) @t217) @t338))) % 46.02/46.29 (step @p798 :rule bool-and-de-morgan :args (@t250 @t336 true)) % 46.02/46.29 (step @p799 :rule nary_cong :premises (@p798 @p759) :args ((or (not @t569) @t217))) % 46.02/46.29 (step @p800 :rule trans :premises (@p799 @p797)) % 46.02/46.29 (step @p801 :rule bool-impl-elim :args (@t569 @t217)) % 46.02/46.29 (step @p802 :rule trans :premises (@p801 @p800)) % 46.02/46.29 (step @p803 :rule cong :premises (@p802) :args ((forall @t123 (=> @t569 @t217)))) % 46.02/46.29 (step @p804 :rule bool-double-not-elim :args (@t336)) % 46.02/46.29 (step @p805 :rule arith_poly_norm :args ((= (* -1 (- 1 @t570)) (* -1 (- @t122 @t33))))) % 46.02/46.29 (step @p806 :rule arith_poly_norm_rel :premises (@p805) :args ((= (>= 1 @t570) @t571))) % 46.02/46.29 (step @p807 :rule arith-geq-tighten :args (@t327 1)) % 46.02/46.29 (step @p808 :rule trans :premises (@p807 @p806)) % 46.02/46.29 (step @p809 :rule symm :premises (@p808)) % 46.02/46.29 (step @p810 :rule cong :premises (@p809) :args ((not @t571))) % 46.02/46.29 (step @p811 :rule trans :premises (@p810 @p804)) % 46.02/46.29 (step @p812 :rule arith-elim-lt :args (@t122 @t33)) % 46.02/46.29 (step @p813 :rule trans :premises (@p812 @p811)) % 46.02/46.29 (step @p814 :rule nary_cong :premises (@p658 @p813) :args (@t218)) % 46.02/46.29 (step @p815 :rule cong :premises (@p814 @p155) :args (@t219)) % 46.02/46.29 (step @p816 :rule cong :premises (@p815) :args (@t220)) % 46.02/46.29 (step @p817 :rule trans :premises (@p816 @p803)) % 46.02/46.29 (step @p818 :rule refl :args (@t36)) % 46.02/46.29 (step @p819 :rule arith_poly_norm :args ((= (* -1 (- @t33 @t78)) (* -1 (- @t342 1))))) % 46.02/46.29 (step @p820 :rule arith_poly_norm_rel :premises (@p819) :args ((= @t572 @t343))) % 46.02/46.29 (step @p821 :rule cong :premises (@p820) :args ((not @t572))) % 46.02/46.29 (step @p822 :rule arith-leq-norm :args (@t33 @t35)) % 46.02/46.29 (step @p823 :rule trans :premises (@p822 @p821)) % 46.02/46.29 (step @p824 :rule arith-elim-leq :args (2 @t33)) % 46.02/46.29 (step @p825 :rule nary_cong :premises (@p824 @p823 @p818 @p817) :args (@t221)) % 46.02/46.29 (step @p826 :rule cong :premises (@p825 @p796) :args (@t222)) % 46.02/46.29 (step @p827 :rule cong :premises (@p826) :args (@t223)) % 46.02/46.29 (step @p828 :rule trans :premises (@p827 @p266)) % 46.02/46.29 (step @p829 :rule aci_norm :args ((= (and @t293 true @t293 true) @t293))) % 46.02/46.29 (step @p830 :rule quant-unused-vars :args ((= (forall @t123 true) true))) % 46.02/46.29 (step @p831 :rule absorb :args ((= @t573 true))) % 46.02/46.29 (step @p832 :rule cong :premises (@p831) :args ((forall @t123 @t573))) % 46.02/46.29 (step @p833 :rule trans :premises (@p832 @p830)) % 46.02/46.29 (step @p834 :rule bool-or-taut2 :args (false @t250 false false)) % 46.02/46.29 (step @p835 :rule bool-double-not-elim :args (@t250)) % 46.02/46.29 (step @p836 :rule nary_cong :premises (@p643 @p835) :args ((or @t251 (not @t251)))) % 46.02/46.29 (step @p837 :rule bool-and-de-morgan :args (@t250 @t251 true)) % 46.02/46.29 (step @p838 :rule trans :premises (@p837 @p836)) % 46.02/46.29 (step @p839 :rule trans :premises (@p838 @p834)) % 46.02/46.29 (step @p840 :rule nary_cong :premises (@p839 @p759) :args ((or (not @t574) @t217))) % 46.02/46.29 (step @p841 :rule bool-impl-elim :args (@t574 @t217)) % 46.02/46.29 (step @p842 :rule trans :premises (@p841 @p840)) % 46.02/46.29 (step @p843 :rule cong :premises (@p842) :args ((forall @t123 (=> @t574 @t217)))) % 46.02/46.29 (step @p844 :rule trans :premises (@p843 @p833)) % 46.02/46.29 (step @p845 :rule arith-elim-lt :args (@t122 2)) % 46.02/46.29 (step @p846 :rule nary_cong :premises (@p658 @p845) :args (@t224)) % 46.02/46.29 (step @p847 :rule cong :premises (@p846 @p155) :args (@t225)) % 46.02/46.29 (step @p848 :rule cong :premises (@p847) :args (@t226)) % 46.02/46.29 (step @p849 :rule trans :premises (@p848 @p844)) % 46.02/46.29 (step @p850 :rule arith-elim-leq :args (2 @t35)) % 46.02/46.29 (step @p851 :rule evaluate :args (@t228)) % 46.02/46.29 (step @p852 :rule nary_cong :premises (@p850 @p851 @p850 @p849) :args (@t229)) % 46.02/46.29 (step @p853 :rule trans :premises (@p852 @p829)) % 46.02/46.29 (step @p854 :rule cong :premises (@p853 @p828) :args (@t230)) % 46.02/46.29 (step @p855 :rule cong :premises (@p850 @p854) :args (@t231)) % 46.02/46.29 (step @p856 :rule cong :premises (@p855) :args (@t232)) % 46.02/46.29 (step @p857 :rule trans :premises (@p856 @p238)) % 46.02/46.29 (step @p858 :rule cong :premises (@p857) :args (@t233)) % 46.02/46.29 (step @p859 :rule eq_resolve :premises (@p113 @p858)) % 46.02/46.29 (step @p860 :rule skolemize :premises (@p859)) % 46.02/46.29 (step @p861 :rule bool-double-not-elim :args (@t575)) % 46.02/46.29 (step @p862 :rule refl :args (@t599)) % 46.02/46.29 (step @p863 :rule nary_cong :premises (@p862 @p861) :args ((or @t599 (not @t589)))) % 46.02/46.29 (step @p864 :rule cnf_or_neg :args (@t599 21)) % 46.02/46.29 (step @p865 :rule eq_resolve :premises (@p864 @p863)) % 46.02/46.29 (step @p866 :rule reordering :premises (@p865) :args ((or @t575 @t599))) % 46.02/46.29 (step @p867 :rule chain_m_resolution :premises (@p866 @p860) :args (@t575 @t600 @t601)) % 46.02/46.29 (step @p868 :rule cnf_equiv_pos1 :args (@t604)) % 46.02/46.29 (step @p869 :rule reordering :premises (@p868) :args ((or @t589 @t603 (not @t604)))) % 46.02/46.29 (step @p870 :rule chain_m_resolution :premises (@p869 @p867 @p144) :args (@t603 (@list false false) (@list @t575 @t604))) % 46.02/46.29 (step @p871 :rule cnf_and_pos :args (@t603 1)) % 46.02/46.29 (step @p872 :rule reordering :premises (@p871) :args ((or @t602 (not @t603)))) % 46.02/46.29 (step @p873 :rule chain_m_resolution :premises (@p872 @p870) :args (@t602 (@list false) (@list @t603))) % 46.02/46.29 (step @p874 :rule cnf_or_neg :args (@t599 26)) % 46.02/46.29 (step @p875 :rule chain_m_resolution :premises (@p874 @p860) :args ((not @t584) @t600 @t601)) % 46.02/46.29 (step @p876 :rule cnf_or_neg :args (@t599 23)) % 46.02/46.29 (step @p877 :rule chain_m_resolution :premises (@p876 @p860) :args ((not @t588) @t600 @t601)) % 46.02/46.29 (step @p878 :rule bool-double-not-elim :args (@t591)) % 46.02/46.29 (step @p879 :rule nary_cong :premises (@p862 @p878) :args ((or @t599 (not @t592)))) % 46.02/46.29 (step @p880 :rule cnf_or_neg :args (@t599 18)) % 46.02/46.29 (step @p881 :rule eq_resolve :premises (@p880 @p879)) % 46.02/46.29 (step @p882 :rule reordering :premises (@p881) :args ((or @t591 @t599))) % 46.02/46.29 (step @p883 :rule chain_m_resolution :premises (@p882 @p860) :args (@t591 @t600 @t601)) % 46.02/46.29 (step @p884 :rule cnf_or_pos :args (@t605)) % 46.02/46.29 (step @p885 :rule reordering :premises (@p884) :args ((or @t592 @t588 @t584 @t606))) % 46.02/46.29 (step @p886 :rule chain_m_resolution :premises (@p885 @p883 @p877 @p875) :args (@t606 (@list false true true) (@list @t591 @t588 @t584))) % 46.02/46.29 (assume-push @p893 @t602) % 46.02/46.29 (step @p888 :rule instantiate :premises (@p873) :args ((@list @t583))) % 46.02/46.29 (step-pop @p894 :rule scope :premises (@p888)) % 46.02/46.29 (step @p889 :rule process_scope :premises (@p894) :args (@t605)) % 46.02/46.29 (step @p891 :rule implies_elim :premises (@p889)) % 46.02/46.29 (step @p892 false :rule chain_m_resolution :premises (@p891 @p886 @p873) :args (false (@list true false) (@list @t605 @t602))) % 46.02/46.29 ) % 46.02/46.29 % SZS output end Proof % 46.02/46.29 % cvc5 exiting %------------------------------------------------------------------------------