%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW663_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 : n024.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 09:05:26 AM UTC 2026 % Result : Theorem 0.35s 0.60s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWW663_2 : TPTP v9.2.1. Released v6.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 17:22:30 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.34 %----Proving TF0_ARI % 0.35/0.60 --- Run --finite-model-find --decision=internal at 45... % 0.35/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.35/0.60 % SZS status Theorem % 0.35/0.60 % SZS output start Proof % 0.35/0.60 ( % 0.35/0.60 (declare-sort tptp.map_int_int 0) % 0.35/0.60 (declare-sort tptp.array_int 0) % 0.35/0.60 (declare-sort tptp.tuple02 0) % 0.35/0.60 (declare-sort tptp.bool1 0) % 0.35/0.60 (declare-sort tptp.ty 0) % 0.35/0.60 (declare-sort tptp.uni 0) % 0.35/0.60 (declare-const tptp.partial_sum1 (-> Int Int tptp.array_int tptp.array_int Bool)) % 0.35/0.60 (declare-const tptp.go_left1 (-> Int Int Int)) % 0.35/0.60 (declare-const tptp.is_power_of_21 (-> Int Bool)) % 0.35/0.60 (declare-const tptp.go_right1 (-> Int Int Int)) % 0.35/0.60 (declare-const tptp.map (-> tptp.ty tptp.ty tptp.ty)) % 0.35/0.60 (declare-const tptp.t2tb2 (-> tptp.array_int tptp.uni)) % 0.35/0.60 (declare-const tptp.set (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 0.35/0.60 (declare-const tptp.get (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni)) % 0.35/0.60 (declare-const tptp.power1 (-> Int Int Int)) % 0.35/0.60 (declare-const tptp.tuple03 tptp.tuple02) % 0.35/0.60 (declare-const tptp.div1 (-> Int Int Int)) % 0.35/0.60 (declare-const tptp.make1 (-> tptp.ty Int tptp.uni tptp.uni)) % 0.35/0.60 (declare-const tptp.sum3 (-> tptp.array_int Int Int Int)) % 0.35/0.60 (declare-const tptp.mod1 (-> Int Int Int)) % 0.35/0.60 (declare-const tptp.tb2t1 (-> tptp.uni tptp.map_int_int)) % 0.35/0.60 (declare-const tptp.mk_array1 (-> tptp.ty Int tptp.uni tptp.uni)) % 0.35/0.60 (declare-const tptp.false1 tptp.bool1) % 0.35/0.60 (declare-const tptp.true1 tptp.bool1) % 0.35/0.60 (declare-const tptp.abs1 (-> Int Int)) % 0.35/0.60 (declare-const tptp.sum2 (-> tptp.map_int_int Int Int Int)) % 0.35/0.60 (declare-const tptp.phase11 (-> Int Int tptp.array_int tptp.array_int Bool)) % 0.35/0.60 (declare-const tptp.witness1 (-> tptp.ty tptp.uni)) % 0.35/0.60 (declare-const tptp.get2 (-> tptp.ty tptp.uni Int tptp.uni)) % 0.35/0.60 (declare-const tptp.int tptp.ty) % 0.35/0.60 (declare-const tptp.const (-> tptp.ty tptp.ty tptp.uni tptp.uni)) % 0.35/0.60 (declare-const tptp.t2tb1 (-> tptp.map_int_int tptp.uni)) % 0.35/0.60 (declare-const tptp.array (-> tptp.ty tptp.ty)) % 0.35/0.60 (declare-const tptp.tb2t2 (-> tptp.uni tptp.array_int)) % 0.35/0.60 (declare-const tptp.sort1 (-> tptp.ty tptp.uni Bool)) % 0.35/0.60 (declare-const tptp.length1 (-> tptp.ty tptp.uni Int)) % 0.35/0.60 (declare-const tptp.elts (-> tptp.ty tptp.uni tptp.uni)) % 0.35/0.60 (declare-const tptp.match_bool1 (-> tptp.ty tptp.bool1 tptp.uni tptp.uni tptp.uni)) % 0.35/0.60 (declare-const tptp.t2tb (-> Int tptp.uni)) % 0.35/0.60 (declare-const tptp.tb2t (-> tptp.uni Int)) % 0.35/0.60 (declare-const tptp.set2 (-> tptp.ty tptp.uni Int tptp.uni tptp.uni)) % 0.35/0.60 (define @t1 () (@var "A" tptp.ty)) % 0.35/0.60 (define @t2 () (@var "X2" tptp.uni)) % 0.35/0.60 (define @t3 () (@var "X1" tptp.uni)) % 0.35/0.60 (define @t4 () (@var "X" tptp.bool1)) % 0.35/0.60 (define @t5 () (@var "Z" tptp.uni)) % 0.35/0.60 (define @t6 () (@var "Z1" tptp.uni)) % 0.35/0.60 (define @t7 () (@list @t1 @t5 @t6)) % 0.35/0.60 (define @t8 () (@var "U" tptp.bool1)) % 0.35/0.60 (define @t9 () (@var "U" tptp.tuple02)) % 0.35/0.60 (define @t10 () (@var "Z" Int)) % 0.35/0.60 (define @t11 () (@var "Y" Int)) % 0.35/0.60 (define @t12 () (@var "X" Int)) % 0.35/0.60 (define @t13 () (<= 0 @t10)) % 0.35/0.60 (define @t14 () (<= @t12 @t11)) % 0.35/0.60 (define @t15 () (@list @t12 @t11 @t10)) % 0.35/0.60 (define @t16 () (tptp.abs1 @t12)) % 0.35/0.60 (define @t17 () (<= 0 @t12)) % 0.35/0.60 (define @t18 () (@list @t12)) % 0.35/0.60 (define @t19 () (@list @t12 @t11)) % 0.35/0.60 (define @t20 () (tptp.mod1 @t12 @t11)) % 0.35/0.60 (define @t21 () (tptp.div1 @t12 @t11)) % 0.35/0.60 (define @t22 () (not (= @t11 0))) % 0.35/0.60 (define @t23 () (<= 0 @t21)) % 0.35/0.60 (define @t24 () (< 0 @t11)) % 0.35/0.60 (define @t25 () (and @t17 @t24)) % 0.35/0.60 (define @t26 () (tptp.abs1 @t11)) % 0.35/0.60 (define @t27 () (<= @t12 0)) % 0.35/0.60 (define @t28 () (and @t17 (< @t12 @t11))) % 0.35/0.60 (define @t29 () (* @t12 @t11)) % 0.35/0.60 (define @t30 () (+ @t29 @t10)) % 0.35/0.60 (define @t31 () (and (< 0 @t12) (<= 0 @t11) @t13)) % 0.35/0.60 (define @t32 () (@var "N" Int)) % 0.35/0.60 (define @t33 () (tptp.power1 @t12 @t32)) % 0.35/0.60 (define @t34 () (+ @t32 1)) % 0.35/0.60 (define @t35 () (<= 0 @t32)) % 0.35/0.60 (define @t36 () (@list @t12 @t32)) % 0.35/0.60 (define @t37 () (- @t32 1)) % 0.35/0.60 (define @t38 () (tptp.power1 @t12 @t37)) % 0.35/0.60 (define @t39 () (* @t12 @t38)) % 0.35/0.60 (define @t40 () (= @t33 @t39)) % 0.35/0.60 (define @t41 () (=> (< 0 @t32) @t40)) % 0.35/0.60 (define @t42 () (forall @t36 @t41)) % 0.35/0.60 (define @t43 () (@var "M" Int)) % 0.35/0.60 (define @t44 () (<= 0 @t43)) % 0.35/0.60 (define @t45 () (@list @t12 @t32 @t43)) % 0.35/0.60 (define @t46 () (@var "X" tptp.uni)) % 0.35/0.60 (define @t47 () (@var "B" tptp.ty)) % 0.35/0.60 (define @t48 () (tptp.map @t1 @t47)) % 0.35/0.60 (define @t49 () (@var "B1" tptp.uni)) % 0.35/0.60 (define @t50 () (@var "A2" tptp.uni)) % 0.35/0.60 (define @t51 () (@var "A1" tptp.uni)) % 0.35/0.60 (define @t52 () (@var "M" tptp.uni)) % 0.35/0.60 (define @t53 () (tptp.get @t47 @t1 (tptp.set @t47 @t1 @t52 @t51 @t49) @t50)) % 0.35/0.60 (define @t54 () (= @t51 @t50)) % 0.35/0.60 (define @t55 () (tptp.sort1 @t47 @t49)) % 0.35/0.60 (define @t56 () (tptp.array @t1)) % 0.35/0.60 (define @t57 () (@list @t1 @t12 @t3)) % 0.35/0.60 (define @t58 () (@var "U" Int)) % 0.35/0.60 (define @t59 () (@var "U1" tptp.uni)) % 0.35/0.60 (define @t60 () (tptp.mk_array1 @t1 @t58 @t59)) % 0.35/0.60 (define @t61 () (@list @t1 @t58 @t59)) % 0.35/0.60 (define @t62 () (tptp.map tptp.int @t1)) % 0.35/0.60 (define @t63 () (@var "U" tptp.uni)) % 0.35/0.60 (define @t64 () (@var "X1" Int)) % 0.35/0.60 (define @t65 () (@var "I" Int)) % 0.35/0.60 (define @t66 () (tptp.t2tb @t65)) % 0.35/0.60 (define @t67 () (@list @t65)) % 0.35/0.60 (define @t68 () (@var "J" tptp.uni)) % 0.35/0.60 (define @t69 () (@list @t68)) % 0.35/0.60 (define @t70 () (tptp.elts @t1 @t51)) % 0.35/0.60 (define @t71 () (@var "V" tptp.uni)) % 0.35/0.60 (define @t72 () (@var "J" Int)) % 0.35/0.60 (define @t73 () (@var "C" tptp.map_int_int)) % 0.35/0.60 (define @t74 () (tptp.sum2 @t73 @t65 @t72)) % 0.35/0.60 (define @t75 () (@list @t73 @t65 @t72)) % 0.35/0.60 (define @t76 () (@var "X" tptp.map_int_int)) % 0.35/0.60 (define @t77 () (@var "I" tptp.map_int_int)) % 0.35/0.60 (define @t78 () (tptp.t2tb1 @t73)) % 0.35/0.60 (define @t79 () (< @t65 @t72)) % 0.35/0.60 (define @t80 () (- @t72 1)) % 0.35/0.60 (define @t81 () (@var "K" Int)) % 0.35/0.60 (define @t82 () (<= @t65 @t81)) % 0.35/0.60 (define @t83 () (@var "C2" tptp.map_int_int)) % 0.35/0.60 (define @t84 () (@var "C1" tptp.map_int_int)) % 0.35/0.60 (define @t85 () (tptp.t2tb @t81)) % 0.35/0.60 (define @t86 () (@list @t81)) % 0.35/0.60 (define @t87 () (@var "X" tptp.array_int)) % 0.35/0.60 (define @t88 () (@var "I" tptp.array_int)) % 0.35/0.60 (define @t89 () (@var "H" Int)) % 0.35/0.60 (define @t90 () (@var "L" Int)) % 0.35/0.60 (define @t91 () (@var "A" tptp.array_int)) % 0.35/0.60 (define @t92 () (tptp.t2tb2 @t91)) % 0.35/0.60 (define @t93 () (tptp.div1 @t12 2)) % 0.35/0.60 (define @t94 () (* 2 @t93)) % 0.35/0.60 (define @t95 () (- @t12 1)) % 0.35/0.60 (define @t96 () (<= @t95 @t94)) % 0.35/0.60 (define @t97 () (and (<= @t94 @t12) @t96)) % 0.35/0.60 (define @t98 () (=> @t17 @t97)) % 0.35/0.60 (define @t99 () (forall @t18 @t98)) % 0.35/0.60 (define @t100 () (tptp.power1 2 @t81)) % 0.35/0.60 (define @t101 () (= @t12 @t100)) % 0.35/0.60 (define @t102 () (and (<= 0 @t81) @t101)) % 0.35/0.60 (define @t103 () (exists @t86 @t102)) % 0.35/0.60 (define @t104 () (tptp.is_power_of_21 @t12)) % 0.35/0.60 (define @t105 () (= @t104 @t103)) % 0.35/0.60 (define @t106 () (forall @t18 @t105)) % 0.35/0.60 (define @t107 () (= @t94 @t12)) % 0.35/0.60 (define @t108 () (=> (< 1 @t12) @t107)) % 0.35/0.60 (define @t109 () (=> @t104 @t108)) % 0.35/0.60 (define @t110 () (forall @t18 @t109)) % 0.35/0.60 (define @t111 () (@var "Left" Int)) % 0.35/0.60 (define @t112 () (@var "Right" Int)) % 0.35/0.60 (define @t113 () (- @t112 @t111)) % 0.35/0.60 (define @t114 () (tptp.div1 @t113 2)) % 0.35/0.60 (define @t115 () (tptp.go_left1 @t111 @t112)) % 0.35/0.60 (define @t116 () (@list @t111 @t112)) % 0.35/0.60 (define @t117 () (tptp.go_right1 @t111 @t112)) % 0.35/0.60 (define @t118 () (@var "A0" tptp.array_int)) % 0.35/0.60 (define @t119 () (tptp.phase11 @t111 @t112 @t118 @t91)) % 0.35/0.60 (define @t120 () (tptp.t2tb2 @t118)) % 0.35/0.60 (define @t121 () (tptp.tb2t (tptp.get2 tptp.int @t92 @t111))) % 0.35/0.60 (define @t122 () (= @t121 (tptp.tb2t (tptp.get2 tptp.int @t120 @t111)))) % 0.35/0.60 (define @t123 () (+ @t111 1)) % 0.35/0.60 (define @t124 () (@list @t111 @t112 @t118 @t91)) % 0.35/0.60 (define @t125 () (- @t111 @t113)) % 0.35/0.60 (define @t126 () (= @t121 (tptp.sum3 @t118 (+ @t125 1) @t123))) % 0.35/0.60 (define @t127 () (tptp.phase11 @t117 @t112 @t118 @t91)) % 0.35/0.60 (define @t128 () (tptp.phase11 @t115 @t111 @t118 @t91)) % 0.35/0.60 (define @t129 () (< @t123 @t112)) % 0.35/0.60 (define @t130 () (@var "Z3" tptp.array_int)) % 0.35/0.60 (define @t131 () (= @t130 @t91)) % 0.35/0.60 (define @t132 () (@var "Z2" tptp.array_int)) % 0.35/0.60 (define @t133 () (= @t132 @t118)) % 0.35/0.60 (define @t134 () (@var "Z1" Int)) % 0.35/0.60 (define @t135 () (= @t10 @t111)) % 0.35/0.60 (define @t136 () (@var "Aqt" tptp.array_int)) % 0.35/0.60 (define @t137 () (tptp.t2tb2 @t136)) % 0.35/0.60 (define @t138 () (tptp.tb2t (tptp.get2 tptp.int @t92 @t65))) % 0.35/0.60 (define @t139 () (< @t125 @t65)) % 0.35/0.60 (define @t140 () (and @t139 (< @t65 @t112))) % 0.35/0.60 (define @t141 () (<= 0 (tptp.length1 tptp.int @t92))) % 0.35/0.60 (define @t142 () (<= 0 (tptp.length1 tptp.int @t120))) % 0.35/0.60 (define @t143 () (@var "A0qt" tptp.array_int)) % 0.35/0.60 (define @t144 () (tptp.t2tb2 @t143)) % 0.35/0.60 (define @t145 () (@var "A" Int)) % 0.35/0.60 (define @t146 () (tptp.div1 @t145 2)) % 0.35/0.60 (define @t147 () (- @t146 1)) % 0.35/0.60 (define @t148 () (- @t145 1)) % 0.35/0.60 (define @t149 () (- @t148 @t147)) % 0.35/0.60 (define @t150 () (tptp.is_power_of_21 @t149)) % 0.35/0.60 (define @t151 () (@var "A1" tptp.map_int_int)) % 0.35/0.60 (define @t152 () (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 @t151) @t66))) % 0.35/0.60 (define @t153 () (@var "A01" tptp.map_int_int)) % 0.35/0.60 (define @t154 () (= (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 @t153) @t66)) @t152)) % 0.35/0.60 (define @t155 () (@var "A0" Int)) % 0.35/0.60 (define @t156 () (and (<= 0 @t65) (< @t65 @t155))) % 0.35/0.60 (define @t157 () (=> @t156 @t154)) % 0.35/0.60 (define @t158 () (forall @t67 @t157)) % 0.35/0.60 (define @t159 () (= @t155 @t145)) % 0.35/0.60 (define @t160 () (and (<= 0 @t155) @t159 @t158)) % 0.35/0.60 (define @t161 () (=> @t160 @t150)) % 0.35/0.60 (define @t162 () (@list @t155 @t153)) % 0.35/0.60 (define @t163 () (forall @t162 @t161)) % 0.35/0.60 (define @t164 () (tptp.is_power_of_21 @t145)) % 0.35/0.60 (define @t165 () (and (<= 0 @t145) (<= 2 @t145) @t164)) % 0.35/0.60 (define @t166 () (=> @t165 @t163)) % 0.35/0.60 (define @t167 () (@list @t145 @t151)) % 0.35/0.60 (define @t168 () (forall @t167 @t166)) % 0.35/0.60 (define @t169 () (not @t168)) % 0.35/0.60 (define @t170 () (>= @t12 0)) % 0.35/0.60 (define @t171 () (+ @t12 (* -2 @t93))) % 0.35/0.60 (define @t172 () (>= @t171 2)) % 0.35/0.60 (define @t173 () (>= @t171 0)) % 0.35/0.60 (define @t174 () (and @t173 (not @t172))) % 0.35/0.60 (define @t175 () (+ @t94 1)) % 0.35/0.60 (define @t176 () (+ -1 @t12)) % 0.35/0.60 (define @t177 () (>= @t176 @t175)) % 0.35/0.60 (define @t178 () (* -1 1)) % 0.35/0.60 (define @t179 () (+ @t12 @t178)) % 0.35/0.60 (define @t180 () (- @t12 @t94)) % 0.35/0.60 (define @t181 () (@var "BOUND_VARIABLE_8941" tptp.map_int_int)) % 0.35/0.60 (define @t182 () (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 @t181) @t66))) % 0.35/0.60 (define @t183 () (= @t152 @t182)) % 0.35/0.60 (define @t184 () (>= (+ @t65 (* -1 @t145)) 0)) % 0.35/0.60 (define @t185 () (>= @t65 0)) % 0.35/0.60 (define @t186 () (not @t185)) % 0.35/0.60 (define @t187 () (* -1 @t146)) % 0.35/0.60 (define @t188 () (+ @t145 @t187)) % 0.35/0.60 (define @t189 () (tptp.is_power_of_21 @t188)) % 0.35/0.60 (define @t190 () (not @t164)) % 0.35/0.60 (define @t191 () (>= @t145 2)) % 0.35/0.60 (define @t192 () (not @t191)) % 0.35/0.60 (define @t193 () (>= @t145 0)) % 0.35/0.60 (define @t194 () (not @t193)) % 0.35/0.60 (define @t195 () (@list @t145 @t151 @t181)) % 0.35/0.60 (define @t196 () (forall @t195 (or @t194 @t192 @t190 @t189 (not (forall @t67 (or @t186 @t184 @t183)))))) % 0.35/0.60 (define @t197 () (@quantifiers_skolemize @t196 0)) % 0.35/0.60 (define @t198 () (@list @t197)) % 0.35/0.60 (define @t199 () (= @t182 @t152)) % 0.35/0.60 (define @t200 () (or @t186 @t184 @t199)) % 0.35/0.60 (define @t201 () (forall @t67 @t200)) % 0.35/0.60 (define @t202 () (not @t201)) % 0.35/0.60 (define @t203 () (or @t194 @t192 @t190 @t189 @t202)) % 0.35/0.60 (define @t204 () (forall @t195 @t203)) % 0.35/0.60 (define @t205 () (@list @t181)) % 0.35/0.60 (define @t206 () (forall @t205 @t203)) % 0.35/0.60 (define @t207 () (forall @t205 @t202)) % 0.35/0.60 (define @t208 () (or @t194 @t192 @t190 @t189 @t207)) % 0.35/0.60 (define @t209 () (not (forall @t67 (or @t186 @t184 @t154)))) % 0.35/0.60 (define @t210 () (@list @t153)) % 0.35/0.60 (define @t211 () (forall @t210 @t209)) % 0.35/0.60 (define @t212 () (or @t194 @t192 @t190 @t189 @t211)) % 0.35/0.60 (define @t213 () (or @t189 @t194 @t211)) % 0.35/0.60 (define @t214 () (or @t194 @t192 @t190)) % 0.35/0.60 (define @t215 () (and @t193 @t191 @t164)) % 0.35/0.60 (define @t216 () (or @t194 @t211)) % 0.35/0.60 (define @t217 () (or @t194 @t209)) % 0.35/0.60 (define @t218 () (not (= @t145 @t145))) % 0.35/0.60 (define @t219 () (or @t194 @t218 @t209)) % 0.35/0.60 (define @t220 () (+ @t65 (* -1 @t155))) % 0.35/0.60 (define @t221 () (>= @t220 0)) % 0.35/0.60 (define @t222 () (or @t186 @t221 @t154)) % 0.35/0.60 (define @t223 () (forall @t67 @t222)) % 0.35/0.60 (define @t224 () (not @t223)) % 0.35/0.60 (define @t225 () (= @t145 @t155)) % 0.35/0.60 (define @t226 () (not @t225)) % 0.35/0.60 (define @t227 () (>= @t155 0)) % 0.35/0.60 (define @t228 () (not @t227)) % 0.35/0.60 (define @t229 () (@list @t155)) % 0.35/0.60 (define @t230 () (* 1 (- @t155 @t145))) % 0.35/0.60 (define @t231 () (* -1 (- @t145 @t155))) % 0.35/0.60 (define @t232 () (or @t226 @t228 @t226 @t224)) % 0.35/0.60 (define @t233 () (or @t228 @t226 @t224)) % 0.35/0.60 (define @t234 () (forall @t229 @t233)) % 0.35/0.60 (define @t235 () (forall @t210 @t234)) % 0.35/0.60 (define @t236 () (forall (@list @t153 @t155) @t233)) % 0.35/0.60 (define @t237 () (forall @t162 @t233)) % 0.35/0.60 (define @t238 () (or @t189 @t237)) % 0.35/0.60 (define @t239 () (or @t189 @t233)) % 0.35/0.60 (define @t240 () (or @t228 @t226 @t224 @t189)) % 0.35/0.60 (define @t241 () (and @t227 @t225 @t223)) % 0.35/0.60 (define @t242 () (+ 1 @t187)) % 0.35/0.60 (define @t243 () (+ -1 @t145)) % 0.35/0.60 (define @t244 () (+ -1 @t146)) % 0.35/0.60 (define @t245 () (+ @t146 @t178)) % 0.35/0.60 (define @t246 () (* -1 @t147)) % 0.35/0.60 (define @t247 () (+ @t145 @t178)) % 0.35/0.60 (define @t248 () (+ @t148 @t246)) % 0.35/0.60 (define @t249 () (not @t221)) % 0.35/0.60 (define @t250 () (and @t185 @t249)) % 0.35/0.60 (define @t251 () (>= @t65 @t155)) % 0.35/0.60 (define @t252 () (>= @t197 0)) % 0.35/0.60 (define @t253 () (* -1 @t197)) % 0.35/0.60 (define @t254 () (tptp.div1 @t197 2)) % 0.35/0.60 (define @t255 () (* -1 @t254)) % 0.35/0.60 (define @t256 () (+ @t197 @t255)) % 0.35/0.60 (define @t257 () (tptp.is_power_of_21 @t256)) % 0.35/0.60 (define @t258 () (tptp.is_power_of_21 @t197)) % 0.35/0.60 (define @t259 () (not @t258)) % 0.35/0.60 (define @t260 () (>= @t197 2)) % 0.35/0.60 (define @t261 () (not @t260)) % 0.35/0.60 (define @t262 () (not @t252)) % 0.35/0.60 (define @t263 () (or @t262 @t261 @t259 @t257 (not (forall @t67 (or @t186 (>= (+ @t65 @t253) 0) (= (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 (@quantifiers_skolemize @t196 1)) @t66)) (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 (@quantifiers_skolemize @t196 2)) @t66)))))))) % 0.35/0.60 (define @t264 () (@list true)) % 0.35/0.60 (define @t265 () (@list @t263)) % 0.35/0.60 (define @t266 () (+ @t197 (* -2 @t254))) % 0.35/0.60 (define @t267 () (>= @t266 2)) % 0.35/0.60 (define @t268 () (not @t267)) % 0.35/0.60 (define @t269 () (and (>= @t266 0) @t268)) % 0.35/0.60 (define @t270 () (or @t262 @t269)) % 0.35/0.60 (define @t271 () (@list false false)) % 0.35/0.60 (define @t272 () (@list false)) % 0.35/0.60 (define @t273 () (>= @t81 0)) % 0.35/0.60 (define @t274 () (and @t273 @t101)) % 0.35/0.60 (define @t275 () (forall @t86 (not @t274))) % 0.35/0.60 (define @t276 () (not @t275)) % 0.35/0.60 (define @t277 () (not @t273)) % 0.35/0.60 (define @t278 () (forall @t86 (or @t277 (not (= @t197 @t100))))) % 0.35/0.60 (define @t279 () (not @t278)) % 0.35/0.60 (define @t280 () (= @t258 @t279)) % 0.35/0.60 (define @t281 () (@quantifiers_skolemize @t278 0)) % 0.35/0.60 (define @t282 () (tptp.power1 2 @t281)) % 0.35/0.60 (define @t283 () (= @t197 @t282)) % 0.35/0.60 (define @t284 () (not @t283)) % 0.35/0.60 (define @t285 () (>= @t281 0)) % 0.35/0.60 (define @t286 () (not @t285)) % 0.35/0.60 (define @t287 () (or @t286 @t284)) % 0.35/0.60 (define @t288 () (@list @t287)) % 0.35/0.60 (define @t289 () (>= @t32 1)) % 0.35/0.60 (define @t290 () (+ -1 @t32)) % 0.35/0.60 (define @t291 () (tptp.power1 @t12 @t290)) % 0.35/0.60 (define @t292 () (* @t12 @t291)) % 0.35/0.60 (define @t293 () (= @t33 @t292)) % 0.35/0.60 (define @t294 () (+ @t32 @t178)) % 0.35/0.60 (define @t295 () (>= 0 @t32)) % 0.35/0.60 (define @t296 () (+ -1 @t281)) % 0.35/0.60 (define @t297 () (tptp.power1 2 @t296)) % 0.35/0.60 (define @t298 () (* 2 @t297)) % 0.35/0.60 (define @t299 () (* 2 @t297)) % 0.35/0.60 (define @t300 () (= @t282 @t299)) % 0.35/0.60 (define @t301 () (>= @t281 1)) % 0.35/0.60 (define @t302 () (not @t301)) % 0.35/0.60 (define @t303 () (or @t302 @t300)) % 0.35/0.60 (define @t304 () (forall @t36 (or (not @t289) @t293))) % 0.35/0.60 (define @t305 () (= @t282 @t298)) % 0.35/0.60 (define @t306 () (or @t302 @t305)) % 0.35/0.60 (define @t307 () (@list 2)) % 0.35/0.60 (define @t308 () (tptp.power1 2 0)) % 0.35/0.60 (define @t309 () (= @t308 1)) % 0.35/0.60 (define @t310 () (not @t309)) % 0.35/0.60 (define @t311 () (= 1 @t197)) % 0.35/0.60 (define @t312 () (* -1 2)) % 0.35/0.60 (define @t313 () (+ 1 @t312)) % 0.35/0.60 (define @t314 () (+ @t197 @t253)) % 0.35/0.60 (define @t315 () (< -1 0)) % 0.35/0.60 (define @t316 () (= 0 @t281)) % 0.35/0.60 (define @t317 () (and @t311 @t260)) % 0.35/0.60 (define @t318 () (+ @t100 @t254)) % 0.35/0.60 (define @t319 () (= @t197 @t318)) % 0.35/0.60 (define @t320 () (= @t256 @t100)) % 0.35/0.60 (define @t321 () (not @t320)) % 0.35/0.60 (define @t322 () (or @t277 @t321)) % 0.35/0.60 (define @t323 () (forall @t86 @t322)) % 0.35/0.60 (define @t324 () (not @t323)) % 0.35/0.60 (define @t325 () (= @t257 @t324)) % 0.35/0.60 (define @t326 () (forall @t18 (= @t104 (not (forall @t86 (or @t277 (not @t101))))))) % 0.35/0.60 (define @t327 () (forall @t86 (or @t277 (not @t319)))) % 0.35/0.60 (define @t328 () (not @t327)) % 0.35/0.60 (define @t329 () (= @t257 @t328)) % 0.35/0.60 (define @t330 () (not @t329)) % 0.35/0.60 (define @t331 () (+ @t254 @t297)) % 0.35/0.60 (define @t332 () (+ @t297 @t254)) % 0.35/0.60 (define @t333 () (= @t197 @t332)) % 0.35/0.60 (define @t334 () (not @t333)) % 0.35/0.60 (define @t335 () (>= @t296 0)) % 0.35/0.60 (define @t336 () (not @t335)) % 0.35/0.60 (define @t337 () (or @t336 @t334)) % 0.35/0.60 (define @t338 () (= @t197 @t331)) % 0.35/0.60 (define @t339 () (not @t338)) % 0.35/0.60 (define @t340 () (or @t302 @t339)) % 0.35/0.60 (define @t341 () (= @t12 @t94)) % 0.35/0.60 (define @t342 () (>= @t12 2)) % 0.35/0.60 (define @t343 () (not @t342)) % 0.35/0.60 (define @t344 () (not @t104)) % 0.35/0.60 (define @t345 () (=> @t342 @t341)) % 0.35/0.60 (define @t346 () (+ @t12 1)) % 0.35/0.60 (define @t347 () (>= 1 @t12)) % 0.35/0.60 (define @t348 () (* 2 @t254)) % 0.35/0.60 (define @t349 () (= @t197 @t348)) % 0.35/0.60 (define @t350 () (or @t259 @t261 @t349)) % 0.35/0.60 (define @t351 () (@list false false false)) % 0.35/0.60 (define @t352 () (* -1 @t297)) % 0.35/0.60 (define @t353 () (+ @t197 @t255 @t352)) % 0.35/0.60 (define @t354 () (>= @t353 0)) % 0.35/0.60 (define @t355 () (not @t305)) % 0.35/0.60 (define @t356 () (not @t349)) % 0.35/0.60 (define @t357 () (not @t354)) % 0.35/0.60 (define @t358 () (< @t353 0)) % 0.35/0.60 (define @t359 () (>= 0/1 0/1)) % 0.35/0.60 (define @t360 () (* -1/2 0/1)) % 0.35/0.60 (define @t361 () (+ 0/1 @t360 @t360 @t360)) % 0.35/0.60 (define @t362 () (to_real @t255)) % 0.35/0.60 (define @t363 () (to_real @t254)) % 0.35/0.60 (define @t364 () (to_real @t282)) % 0.35/0.60 (define @t365 () (* -1/2 @t364)) % 0.35/0.60 (define @t366 () (* 1/2 @t364)) % 0.35/0.60 (define @t367 () (to_real @t297)) % 0.35/0.60 (define @t368 () (to_real @t352)) % 0.35/0.60 (define @t369 () (to_real 0)) % 0.35/0.60 (define @t370 () (* 0 @t197)) % 0.35/0.60 (define @t371 () (to_real @t370)) % 0.35/0.60 (define @t372 () (+ @t368 @t367 @t366 @t365 @t363 @t362 @t371)) % 0.35/0.60 (define @t373 () (to_real @t266)) % 0.35/0.60 (define @t374 () (* -1/2 @t373)) % 0.35/0.60 (define @t375 () (+ @t197 (* -1 @t282))) % 0.35/0.60 (define @t376 () (to_real @t375)) % 0.35/0.60 (define @t377 () (* -1/2 @t376)) % 0.35/0.60 (define @t378 () (+ @t282 (* -2 @t297))) % 0.35/0.60 (define @t379 () (to_real @t378)) % 0.35/0.60 (define @t380 () (* -1/2 @t379)) % 0.35/0.60 (define @t381 () (to_real @t353)) % 0.35/0.60 (define @t382 () (+ @t381 @t380 @t377 @t374)) % 0.35/0.60 (define @t383 () (>= @t382 @t361)) % 0.35/0.60 (define @t384 () (< -1/2 0/1)) % 0.35/0.60 (define @t385 () (= @t266 0)) % 0.35/0.60 (define @t386 () (= @t375 0)) % 0.35/0.60 (define @t387 () (= @t376 0/1)) % 0.35/0.60 (define @t388 () (= (* 1 (- @t375 0)) (* 1 (- @t197 @t282)))) % 0.35/0.60 (define @t389 () (= @t386 @t283)) % 0.35/0.60 (define @t390 () (= @t378 0)) % 0.35/0.60 (define @t391 () (= @t379 0/1)) % 0.35/0.60 (define @t392 () (= (* 1 (- @t378 0)) (* 1 (- @t282 @t298)))) % 0.35/0.60 (define @t393 () (= @t390 @t305)) % 0.35/0.60 (define @t394 () (< @t381 @t369)) % 0.35/0.60 (define @t395 () (- @t353 0)) % 0.35/0.60 (define @t396 () (>= @t353 1)) % 0.35/0.60 (define @t397 () (* 1/2 2/1)) % 0.35/0.60 (define @t398 () (* 1/2 0/1)) % 0.35/0.60 (define @t399 () (to_real @t178)) % 0.35/0.60 (define @t400 () (+ @t399 @t398 @t398 @t397)) % 0.35/0.60 (define @t401 () (* 1/2 (to_real @t197))) % 0.35/0.60 (define @t402 () (+ @t401 @t362)) % 0.35/0.60 (define @t403 () (+ @t401 @t365)) % 0.35/0.60 (define @t404 () (+ @t366 @t368)) % 0.35/0.60 (define @t405 () (+ @t253 @t254 @t297)) % 0.35/0.60 (define @t406 () (* 1/2 @t373)) % 0.35/0.60 (define @t407 () (* 1/2 @t376)) % 0.35/0.60 (define @t408 () (* 1/2 @t379)) % 0.35/0.60 (define @t409 () (* -1 @t353)) % 0.35/0.60 (define @t410 () (to_real @t409)) % 0.35/0.60 (define @t411 () (+ @t410 @t408 @t407 @t406)) % 0.35/0.60 (define @t412 () (>= @t411 @t400)) % 0.35/0.60 (define @t413 () (> 1/2 0/1)) % 0.35/0.60 (define @t414 () (< @t266 2)) % 0.35/0.60 (define @t415 () (to_real 2)) % 0.35/0.60 (define @t416 () (< @t373 @t415)) % 0.35/0.60 (define @t417 () (= @t353 0)) % 0.35/0.60 (assume @p1 (forall (@list @t1) (tptp.sort1 @t1 (tptp.witness1 @t1)))) % 0.35/0.60 (assume @p2 (forall (@list @t1 @t4 @t3 @t2) (tptp.sort1 @t1 (tptp.match_bool1 @t1 @t4 @t3 @t2)))) % 0.35/0.60 (assume @p3 (forall @t7 (=> (tptp.sort1 @t1 @t5) (= (tptp.match_bool1 @t1 tptp.true1 @t5 @t6) @t5)))) % 0.35/0.60 (assume @p4 (forall @t7 (=> (tptp.sort1 @t1 @t6) (= (tptp.match_bool1 @t1 tptp.false1 @t5 @t6) @t6)))) % 0.35/0.60 (assume @p5 (not (= tptp.true1 tptp.false1))) % 0.35/0.60 (assume @p6 (forall (@list @t8) (or (= @t8 tptp.true1) (= @t8 tptp.false1)))) % 0.35/0.60 (assume @p7 (forall (@list @t9) (= @t9 tptp.tuple03))) % 0.35/0.60 (assume @p8 (forall @t15 (=> @t14 (=> @t13 (<= (* @t12 @t10) (* @t11 @t10)))))) % 0.35/0.60 (assume @p9 (forall @t18 (and (=> @t17 (= @t16 @t12)) (=> (not @t17) (= @t16 (- @t12)))))) % 0.35/0.60 (assume @p10 (forall @t19 (= (<= @t16 @t11) (and (<= (- @t11) @t12) @t14)))) % 0.35/0.60 (assume @p11 (forall @t18 (<= 0 @t16))) % 0.35/0.60 (assume @p12 (forall @t19 (=> @t22 (= @t12 (+ (* @t11 @t21) @t20))))) % 0.35/0.60 (assume @p13 (forall @t19 (=> @t25 (and @t23 (<= @t21 @t12))))) % 0.35/0.60 (assume @p14 (forall @t19 (=> @t22 (and (< (- @t26) @t20) (< @t20 @t26))))) % 0.35/0.60 (assume @p15 (forall @t19 (=> @t25 @t23))) % 0.35/0.60 (assume @p16 (forall @t19 (=> (and @t27 @t24) (<= @t21 0)))) % 0.35/0.60 (assume @p17 (forall @t19 (=> (and @t17 @t22) (<= 0 @t20)))) % 0.35/0.60 (assume @p18 (forall @t19 (=> (and @t27 @t22) (<= @t20 0)))) % 0.35/0.60 (assume @p19 (forall @t19 (=> @t22 (<= (tptp.abs1 (* @t21 @t11)) @t16)))) % 0.35/0.60 (assume @p20 (forall @t18 (= (tptp.div1 @t12 1) @t12))) % 0.35/0.60 (assume @p21 (forall @t18 (= (tptp.mod1 @t12 1) 0))) % 0.35/0.60 (assume @p22 (forall @t19 (=> @t28 (= @t21 0)))) % 0.35/0.60 (assume @p23 (forall @t19 (=> @t28 (= @t20 @t12)))) % 0.35/0.60 (assume @p24 (forall @t15 (=> @t31 (= (tptp.div1 @t30 @t12) (+ @t11 (tptp.div1 @t10 @t12)))))) % 0.35/0.60 (assume @p25 (forall @t15 (=> @t31 (= (tptp.mod1 @t30 @t12) (tptp.mod1 @t10 @t12))))) % 0.35/0.60 (assume @p26 (forall @t18 (= (tptp.power1 @t12 0) 1))) % 0.35/0.60 (assume @p27 (forall @t36 (=> @t35 (= (tptp.power1 @t12 @t34) (* @t12 @t33))))) % 0.35/0.60 (assume @p28 @t42) % 0.35/0.60 (assume @p29 (forall @t18 (= (tptp.power1 @t12 1) @t12))) % 0.35/0.60 (assume @p30 (forall @t45 (=> @t35 (=> @t44 (= (tptp.power1 @t12 (+ @t32 @t43)) (* @t33 (tptp.power1 @t12 @t43))))))) % 0.35/0.60 (assume @p31 (forall @t45 (=> @t35 (=> @t44 (= (tptp.power1 @t12 (* @t32 @t43)) (tptp.power1 @t33 @t43)))))) % 0.35/0.60 (assume @p32 (forall (@list @t12 @t11 @t32) (=> @t35 (= (tptp.power1 @t29 @t32) (* @t33 (tptp.power1 @t11 @t32)))))) % 0.35/0.60 (assume @p33 (forall (@list @t1 @t47 @t46 @t3) (tptp.sort1 @t47 (tptp.get @t47 @t1 @t46 @t3)))) % 0.35/0.60 (assume @p34 (forall (@list @t1 @t47 @t46 @t3 @t2) (tptp.sort1 @t48 (tptp.set @t47 @t1 @t46 @t3 @t2)))) % 0.35/0.60 (assume @p35 (forall (@list @t1 @t47 @t52 @t51 @t50 @t49) (=> @t55 (=> @t54 (= @t53 @t49))))) % 0.35/0.60 (assume @p36 (forall (@list @t1 @t47 @t52 @t51 @t50) (=> (tptp.sort1 @t1 @t51) (=> (tptp.sort1 @t1 @t50) (forall (@list @t49) (=> (not @t54) (= @t53 (tptp.get @t47 @t1 @t52 @t50)))))))) % 0.35/0.60 (assume @p37 (forall (@list @t1 @t47 @t46) (tptp.sort1 @t48 (tptp.const @t47 @t1 @t46)))) % 0.35/0.60 (assume @p38 (forall (@list @t1 @t47 @t49 @t51) (=> @t55 (= (tptp.get @t47 @t1 (tptp.const @t47 @t1 @t49) @t51) @t49)))) % 0.35/0.60 (assume @p39 (forall @t57 (tptp.sort1 @t56 (tptp.mk_array1 @t1 @t12 @t3)))) % 0.35/0.60 (assume @p40 (forall @t61 (= (tptp.length1 @t1 @t60) @t58))) % 0.35/0.60 (assume @p41 (forall (@list @t1 @t46) (tptp.sort1 @t62 (tptp.elts @t1 @t46)))) % 0.35/0.60 (assume @p42 (forall @t61 (=> (tptp.sort1 @t62 @t59) (= (tptp.elts @t1 @t60) @t59)))) % 0.35/0.60 (assume @p43 (forall (@list @t1 @t63) (= @t63 (tptp.mk_array1 @t1 (tptp.length1 @t1 @t63) (tptp.elts @t1 @t63))))) % 0.35/0.60 (assume @p44 (forall (@list @t1 @t46 @t64) (tptp.sort1 @t1 (tptp.get2 @t1 @t46 @t64)))) % 0.35/0.60 (assume @p45 (forall @t18 (tptp.sort1 tptp.int (tptp.t2tb @t12)))) % 0.35/0.60 (assume @p46 (forall @t67 (= (tptp.tb2t @t66) @t65))) % 0.35/0.60 (assume @p47 (forall @t69 (= (tptp.t2tb (tptp.tb2t @t68)) @t68))) % 0.35/0.60 (assume @p48 (forall (@list @t1 @t51 @t65) (= (tptp.get2 @t1 @t51 @t65) (tptp.get @t1 tptp.int @t70 @t66)))) % 0.35/0.60 (assume @p49 (forall (@list @t1 @t46 @t64 @t2) (tptp.sort1 @t56 (tptp.set2 @t1 @t46 @t64 @t2)))) % 0.35/0.60 (assume @p50 (forall (@list @t1 @t51 @t65 @t71) (= (tptp.set2 @t1 @t51 @t65 @t71) (tptp.mk_array1 @t1 (tptp.length1 @t1 @t51) (tptp.set @t1 tptp.int @t70 @t66 @t71))))) % 0.35/0.60 (assume @p51 (forall @t57 (tptp.sort1 @t56 (tptp.make1 @t1 @t12 @t3)))) % 0.35/0.60 (assume @p52 (forall (@list @t1 @t32 @t71) (= (tptp.make1 @t1 @t32 @t71) (tptp.mk_array1 @t1 @t32 (tptp.const @t1 tptp.int @t71))))) % 0.35/0.60 (assume @p53 (forall @t75 (=> (<= @t72 @t65) (= @t74 0)))) % 0.35/0.60 (assume @p54 (forall (@list @t76) (tptp.sort1 (tptp.map tptp.int tptp.int) (tptp.t2tb1 @t76)))) % 0.35/0.60 (assume @p55 (forall (@list @t77) (= (tptp.tb2t1 (tptp.t2tb1 @t77)) @t77))) % 0.35/0.60 (assume @p56 (forall @t69 (= (tptp.t2tb1 (tptp.tb2t1 @t68)) @t68))) % 0.35/0.60 (assume @p57 (forall @t75 (=> @t79 (= @t74 (+ (tptp.tb2t (tptp.get tptp.int tptp.int @t78 @t66)) (tptp.sum2 @t73 (+ @t65 1) @t72)))))) % 0.35/0.60 (assume @p58 (forall @t75 (=> @t79 (= @t74 (+ (tptp.sum2 @t73 @t65 @t80) (tptp.tb2t (tptp.get tptp.int tptp.int @t78 (tptp.t2tb @t80)))))))) % 0.35/0.60 (assume @p59 (forall (@list @t73 @t65 @t81 @t72) (=> (and @t82 (<= @t81 @t72)) (= @t74 (+ (tptp.sum2 @t73 @t65 @t81) (tptp.sum2 @t73 @t81 @t72)))))) % 0.35/0.60 (assume @p60 (forall (@list @t84 @t83 @t65 @t72) (=> (forall @t86 (=> (and @t82 (< @t81 @t72)) (= (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 @t84) @t85)) (tptp.tb2t (tptp.get tptp.int tptp.int (tptp.t2tb1 @t83) @t85))))) (= (tptp.sum2 @t84 @t65 @t72) (tptp.sum2 @t83 @t65 @t72))))) % 0.35/0.60 (assume @p61 (forall (@list @t87) (tptp.sort1 (tptp.array tptp.int) (tptp.t2tb2 @t87)))) % 0.35/0.60 (assume @p62 (forall (@list @t88) (= (tptp.tb2t2 (tptp.t2tb2 @t88)) @t88))) % 0.35/0.60 (assume @p63 (forall @t69 (= (tptp.t2tb2 (tptp.tb2t2 @t68)) @t68))) % 0.35/0.60 (assume @p64 (forall (@list @t91 @t90 @t89) (= (tptp.sum3 @t91 @t90 @t89) (tptp.sum2 (tptp.tb2t1 (tptp.elts tptp.int @t92)) @t90 @t89)))) % 0.35/0.60 (assume @p65 @t99) % 0.35/0.60 (assume @p66 @t106) % 0.35/0.60 (assume @p67 @t110) % 0.35/0.60 (assume @p68 (forall @t116 (= @t115 (- @t111 @t114)))) % 0.35/0.60 (assume @p69 (forall @t116 (= @t117 (- @t112 @t114)))) % 0.35/0.60 (assume @p70 (forall @t124 (=> (= @t112 @t123) (=> @t122 @t119)))) % 0.35/0.60 (assume @p71 (forall @t124 (=> @t129 (=> @t128 (=> @t127 (=> @t126 @t119)))))) % 0.35/0.60 (assume @p72 (forall (@list @t10 @t134 @t132 @t130) (=> (tptp.phase11 @t10 @t134 @t132 @t130) (or (exists (@list @t111 @t118 @t91) (and @t122 @t135 (= @t134 @t123) @t133 @t131)) (exists @t124 (and @t129 @t128 @t127 @t126 @t135 (= @t134 @t112) @t133 @t131)))))) % 0.35/0.60 (assume @p73 (forall (@list @t111 @t112 @t118 @t91 @t136) (=> (and @t142 @t141 (<= 0 (tptp.length1 tptp.int @t137)) (forall @t67 (=> @t140 (= @t138 (tptp.tb2t (tptp.get2 tptp.int @t137 @t65))))) @t119) (tptp.phase11 @t111 @t112 @t118 @t136)))) % 0.35/0.60 (assume @p74 (forall (@list @t111 @t112 @t118 @t143 @t91) (=> (and @t142 (<= 0 (tptp.length1 tptp.int @t144)) @t141 (forall @t67 (=> @t140 (= (tptp.tb2t (tptp.get2 tptp.int @t120 @t65)) (tptp.tb2t (tptp.get2 tptp.int @t144 @t65))))) @t119) (tptp.phase11 @t111 @t112 @t143 @t91)))) % 0.35/0.60 (assume @p75 (forall @t124 (= (tptp.partial_sum1 @t111 @t112 @t118 @t91) (forall @t67 (=> (and @t139 (<= @t65 @t112)) (= @t138 (tptp.sum3 @t118 0 @t65))))))) % 0.35/0.60 (assume @p76 @t169) % 0.35/0.60 (assume @p77 true) % 0.35/0.60 (step @p78 :rule bool-impl-elim :args (@t170 @t174)) % 0.35/0.60 (step @p79 :rule cong :premises (@p78) :args ((forall @t18 (=> @t170 @t174)))) % 0.35/0.60 (step @p80 :rule arith_poly_norm :args ((= (* -2 (- @t176 @t175)) (* -2 (- @t171 2))))) % 0.35/0.60 (step @p81 :rule arith_poly_norm_rel :premises (@p80) :args ((= @t177 @t172))) % 0.35/0.60 (step @p82 :rule cong :premises (@p81) :args ((not @t177))) % 0.35/0.60 (step @p83 :rule arith-leq-norm :args (@t176 @t94)) % 0.35/0.60 (step @p84 :rule trans :premises (@p83 @p82)) % 0.35/0.60 (step @p85 :rule refl :args (@t94)) % 0.35/0.60 (step @p86 :rule arith_poly_norm :args ((= (+ @t12 -1) @t176))) % 0.35/0.60 (step @p87 :rule evaluate :args (@t178)) % 0.35/0.60 (step @p88 :rule refl :args (@t12)) % 0.35/0.60 (step @p89 :rule nary_cong :premises (@p88 @p87) :args (@t179)) % 0.35/0.60 (step @p90 :rule trans :premises (@p89 @p86)) % 0.35/0.60 (step @p91 :rule arith_poly_norm :args ((= @t95 @t179))) % 0.35/0.60 (step @p92 :rule trans :premises (@p91 @p90)) % 0.35/0.60 (step @p93 :rule cong :premises (@p92 @p85) :args (@t96)) % 0.35/0.60 (step @p94 :rule trans :premises (@p93 @p84)) % 0.35/0.60 (step @p95 :rule arith_poly_norm :args ((= (* 1 @t180) (* 1 (- @t171 0))))) % 0.35/0.60 (step @p96 :rule arith_poly_norm_rel :premises (@p95) :args ((= (>= @t12 @t94) @t173))) % 0.35/0.60 (step @p97 :rule arith-elim-leq :args (@t94 @t12)) % 0.35/0.60 (step @p98 :rule trans :premises (@p97 @p96)) % 0.35/0.60 (step @p99 :rule nary_cong :premises (@p98 @p94) :args (@t97)) % 0.35/0.60 (step @p100 :rule arith-elim-leq :args (0 @t12)) % 0.35/0.60 (step @p101 :rule cong :premises (@p100 @p99) :args (@t98)) % 0.35/0.60 (step @p102 :rule cong :premises (@p101) :args (@t99)) % 0.35/0.60 (step @p103 :rule trans :premises (@p102 @p79)) % 0.35/0.60 (step @p104 :rule eq_resolve :premises (@p65 @p103)) % 0.35/0.60 (step @p105 :rule instantiate :premises (@p104) :args (@t198)) % 0.35/0.61 (step @p106 :rule arith_poly_norm :args ((= (* 1 (- @t182 @t152)) (* -1 (- @t152 @t182))))) % 0.35/0.61 (step @p107 :rule arith_poly_norm_rel :premises (@p106) :args ((= @t199 @t183))) % 0.35/0.61 (step @p108 :rule refl :args (@t184)) % 0.35/0.61 (step @p109 :rule refl :args (@t186)) % 0.35/0.61 (step @p110 :rule nary_cong :premises (@p109 @p108 @p107) :args (@t200)) % 0.35/0.61 (step @p111 :rule cong :premises (@p110) :args (@t201)) % 0.35/0.61 (step @p112 :rule cong :premises (@p111) :args (@t202)) % 0.35/0.61 (step @p113 :rule refl :args (@t189)) % 0.35/0.61 (step @p114 :rule refl :args (@t190)) % 0.35/0.61 (step @p115 :rule refl :args (@t192)) % 0.35/0.61 (step @p116 :rule refl :args (@t194)) % 0.35/0.61 (step @p117 :rule nary_cong :premises (@p116 @p115 @p114 @p113 @p112) :args (@t203)) % 0.35/0.61 (step @p118 :rule cong :premises (@p117) :args (@t204)) % 0.35/0.61 (step @p119 :rule quant-merge-prenex :args ((= (forall @t167 @t206) @t204))) % 0.35/0.61 (step @p120 :rule alpha_equiv :args (@t207 (@list @t181) (@list @t153))) % 0.35/0.61 (step @p121 :rule refl :args (@t189)) % 0.35/0.61 (step @p122 :rule refl :args (@t190)) % 0.35/0.61 (step @p123 :rule refl :args (@t192)) % 0.35/0.61 (step @p124 :rule refl :args (@t194)) % 0.35/0.61 (step @p125 :rule nary_cong :premises (@p124 @p123 @p122 @p121 @p120) :args (@t208)) % 0.35/0.61 (step @p126 :rule quant-miniscope-or :args ((= @t206 @t208))) % 0.35/0.61 (step @p127 :rule trans :premises (@p126 @p125)) % 0.35/0.61 (step @p128 :rule symm :premises (@p127)) % 0.35/0.61 (step @p129 :rule cong :premises (@p128) :args ((forall @t167 @t212))) % 0.35/0.61 (step @p130 :rule trans :premises (@p129 @p119)) % 0.35/0.61 (step @p131 :rule trans :premises (@p130 @p118)) % 0.35/0.61 (step @p132 :rule aci_norm :args ((= (or @t214 @t213) @t212))) % 0.35/0.61 (step @p133 :rule refl :args (@t213)) % 0.35/0.61 (step @p134 :rule aci_norm :args ((= (or @t194 (or @t192 @t190)) @t214))) % 0.35/0.61 (step @p135 :rule bool-and-de-morgan :args (@t191 @t164 true)) % 0.35/0.61 (step @p136 :rule nary_cong :premises (@p124 @p135) :args ((or @t194 (not (and @t191 @t164))))) % 0.35/0.61 (step @p137 :rule bool-and-de-morgan :args (@t193 @t191 (and @t164))) % 0.35/0.61 (step @p138 :rule trans :premises (@p137 @p136)) % 0.35/0.61 (step @p139 :rule trans :premises (@p138 @p134)) % 0.35/0.61 (step @p140 :rule nary_cong :premises (@p139 @p133) :args ((or (not @t215) @t213))) % 0.35/0.61 (step @p141 :rule trans :premises (@p140 @p132)) % 0.35/0.61 (step @p142 :rule bool-impl-elim :args (@t215 @t213)) % 0.35/0.61 (step @p143 :rule trans :premises (@p142 @p141)) % 0.35/0.61 (step @p144 :rule cong :premises (@p143) :args ((forall @t167 (=> @t215 @t213)))) % 0.35/0.61 (step @p145 :rule trans :premises (@p144 @p131)) % 0.35/0.61 (step @p146 :rule aci_norm :args ((= (or @t189 @t216) @t213))) % 0.35/0.61 (step @p147 :rule quant-miniscope-or :args ((= (forall @t210 @t217) @t216))) % 0.35/0.61 (step @p148 :rule aci_norm :args ((= (or @t194 false @t209) @t217))) % 0.35/0.61 (step @p149 :rule refl :args (@t209)) % 0.35/0.61 (step @p150 :rule evaluate :args ((not true))) % 0.35/0.61 (step @p151 :rule eq-refl :args (@t145)) % 0.35/0.61 (step @p152 :rule cong :premises (@p151) :args (@t218)) % 0.35/0.61 (step @p153 :rule trans :premises (@p152 @p150)) % 0.35/0.61 (step @p154 :rule nary_cong :premises (@p116 @p153 @p149) :args (@t219)) % 0.35/0.61 (step @p155 :rule trans :premises (@p154 @p148)) % 0.35/0.61 (step @p156 :rule cong :premises (@p155) :args ((forall @t210 @t219))) % 0.35/0.61 (step @p157 :rule trans :premises (@p156 @p147)) % 0.35/0.61 (step @p158 :rule quant-var-elim-eq :args ((= (forall @t229 (or (not @t159) @t228 @t226 @t224)) @t219))) % 0.35/0.61 (step @p159 :rule refl :args (@t224)) % 0.35/0.61 (step @p160 :rule refl :args (@t226)) % 0.35/0.61 (step @p161 :rule refl :args (@t228)) % 0.35/0.61 (step @p162 :rule arith_poly_norm :args ((= @t231 @t230))) % 0.35/0.61 (step @p163 :rule arith_poly_norm_rel :premises (@p162) :args ((= @t225 @t159))) % 0.35/0.61 (step @p164 :rule cong :premises (@p163) :args (@t226)) % 0.35/0.61 (step @p165 :rule nary_cong :premises (@p164 @p161 @p160 @p159) :args (@t232)) % 0.35/0.61 (step @p166 :rule aci_norm :args ((= @t233 @t232))) % 0.35/0.61 (step @p167 :rule trans :premises (@p166 @p165)) % 0.35/0.61 (step @p168 :rule cong :premises (@p167) :args (@t234)) % 0.35/0.61 (step @p169 :rule trans :premises (@p168 @p158)) % 0.35/0.61 (step @p170 :rule cong :premises (@p169) :args (@t235)) % 0.35/0.61 (step @p171 :rule quant-merge-prenex :args ((= @t235 @t236))) % 0.35/0.61 (step @p172 :rule symm :premises (@p171)) % 0.35/0.61 (step @p173 :rule quant_var_reordering :args ((= @t237 @t236))) % 0.35/0.61 (step @p174 :rule trans :premises (@p173 @p172 @p170)) % 0.35/0.61 (step @p175 :rule trans :premises (@p174 @p157)) % 0.35/0.61 (step @p176 :rule nary_cong :premises (@p113 @p175) :args (@t238)) % 0.35/0.61 (step @p177 :rule trans :premises (@p176 @p146)) % 0.35/0.61 (step @p178 :rule quant-miniscope-or :args ((= (forall @t162 @t239) @t238))) % 0.35/0.61 (step @p179 :rule aci_norm :args ((= @t240 @t239))) % 0.35/0.61 (step @p180 :rule cong :premises (@p179) :args ((forall @t162 @t240))) % 0.35/0.61 (step @p181 :rule trans :premises (@p180 @p178)) % 0.35/0.61 (step @p182 :rule trans :premises (@p181 @p177)) % 0.35/0.61 (step @p183 :rule aci_norm :args ((= (or @t233 @t189) @t240))) % 0.35/0.61 (step @p184 :rule aci_norm :args ((= (or @t228 (or @t226 @t224)) @t233))) % 0.35/0.61 (step @p185 :rule bool-and-de-morgan :args (@t225 @t223 true)) % 0.35/0.61 (step @p186 :rule nary_cong :premises (@p161 @p185) :args ((or @t228 (not (and @t225 @t223))))) % 0.35/0.61 (step @p187 :rule bool-and-de-morgan :args (@t227 @t225 (and @t223))) % 0.35/0.61 (step @p188 :rule trans :premises (@p187 @p186)) % 0.35/0.61 (step @p189 :rule trans :premises (@p188 @p184)) % 0.35/0.61 (step @p190 :rule nary_cong :premises (@p189 @p121) :args ((or (not @t241) @t189))) % 0.35/0.61 (step @p191 :rule trans :premises (@p190 @p183)) % 0.35/0.61 (step @p192 :rule bool-impl-elim :args (@t241 @t189)) % 0.35/0.61 (step @p193 :rule trans :premises (@p192 @p191)) % 0.35/0.61 (step @p194 :rule cong :premises (@p193) :args ((forall @t162 (=> @t241 @t189)))) % 0.35/0.61 (step @p195 :rule trans :premises (@p194 @p182)) % 0.35/0.61 (step @p196 :rule arith_poly_norm :args ((= (+ @t243 @t242) @t188))) % 0.35/0.61 (step @p197 :rule arith_poly_norm :args ((= (* -1 @t244) @t242))) % 0.35/0.61 (step @p198 :rule arith_poly_norm :args ((= (+ @t146 -1) @t244))) % 0.35/0.61 (step @p199 :rule refl :args (@t146)) % 0.35/0.61 (step @p200 :rule nary_cong :premises (@p199 @p87) :args (@t245)) % 0.35/0.61 (step @p201 :rule trans :premises (@p200 @p198)) % 0.35/0.61 (step @p202 :rule arith_poly_norm :args ((= @t147 @t245))) % 0.35/0.61 (step @p203 :rule trans :premises (@p202 @p201)) % 0.35/0.61 (step @p204 :rule refl :args (-1)) % 0.35/0.61 (step @p205 :rule nary_cong :premises (@p204 @p203) :args (@t246)) % 0.35/0.61 (step @p206 :rule trans :premises (@p205 @p197)) % 0.35/0.61 (step @p207 :rule arith_poly_norm :args ((= (+ @t145 -1) @t243))) % 0.35/0.61 (step @p208 :rule refl :args (@t145)) % 0.35/0.61 (step @p209 :rule nary_cong :premises (@p208 @p87) :args (@t247)) % 0.35/0.61 (step @p210 :rule trans :premises (@p209 @p207)) % 0.35/0.61 (step @p211 :rule arith_poly_norm :args ((= @t148 @t247))) % 0.35/0.61 (step @p212 :rule trans :premises (@p211 @p210)) % 0.35/0.61 (step @p213 :rule nary_cong :premises (@p212 @p206) :args (@t248)) % 0.35/0.61 (step @p214 :rule trans :premises (@p213 @p196)) % 0.35/0.61 (step @p215 :rule arith_poly_norm :args ((= @t149 @t248))) % 0.35/0.61 (step @p216 :rule trans :premises (@p215 @p214)) % 0.35/0.61 (step @p217 :rule cong :premises (@p216) :args (@t150)) % 0.35/0.61 (step @p218 :rule aci_norm :args ((= (or (or @t186 @t221) @t154) @t222))) % 0.35/0.61 (step @p219 :rule refl 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(step @p714 :rule modus_ponens :premises (@p713 @p709)) % 0.35/0.61 (step @p715 :rule arith_poly_norm :args ((= (* 1/1 (to_real (- @t409 @t178))) (* 1/1 (- @t410 @t399))))) % 0.35/0.61 (step @p716 :rule arith_poly_norm_rel :premises (@p715) :args ((= (<= @t409 @t178) (<= @t410 @t399)))) % 0.35/0.61 (step @p717 :rule arith_mult_neg :args (-1 @t396)) % 0.35/0.61 (step @p377 :rule evaluate :args (@t315)) % 0.35/0.61 (step @p378 :rule true_elim :premises (@p377)) % 0.35/0.61 (step @p718 :rule and_intro :premises (@p378 @p803)) % 0.35/0.61 (step @p719 :rule modus_ponens :premises (@p718 @p717)) % 0.35/0.61 (step @p720 :rule eq_resolve :premises (@p719 @p716)) % 0.35/0.61 (step @p721 :rule arith_sum_ub :premises (@p720 @p714 @p700 @p687)) % 0.35/0.61 (step @p722 false :rule eq_resolve :premises (@p721 @p665)) % 0.35/0.61 (step-pop @p816 :rule scope :premises (@p722)) % 0.35/0.61 (step @p723 :rule process_scope :premises (@p816) :args (false)) % 0.35/0.61 (step @p725 :rule eq_resolve :premises (@p723 @p642)) % 0.35/0.61 (step @p726 :rule eq_resolve :premises (@p725 @p641)) % 0.35/0.61 (step @p727 :rule arith_poly_norm :args ((= (* 1 @t395) (* 1 (- @t197 @t331))))) % 0.35/0.61 (step @p728 :rule arith_poly_norm_rel :premises (@p727) :args ((= @t417 @t338))) % 0.35/0.61 (step @p729 :rule cong :premises (@p728) :args ((not @t417))) % 0.35/0.61 (step @p730 :rule symm :premises (@p729)) % 0.35/0.61 (step @p731 :rule eq_resolve :premises (@p801 @p730)) % 0.35/0.61 (step @p732 :rule arith_trichotomy :premises (@p731 @p802)) % 0.35/0.61 (step @p733 :rule int_tight_lb :premises (@p732)) % 0.35/0.61 (step @p734 false :rule contra :premises (@p733 @p726)) % 0.35/0.61 (step-pop @p817 :rule scope :premises (@p734)) % 0.35/0.61 (step-pop @p818 :rule scope :premises (@p817)) % 0.35/0.61 (step-pop @p819 :rule scope :premises (@p818)) % 0.35/0.61 (step-pop @p820 :rule scope :premises (@p819)) % 0.35/0.61 (step-pop @p821 :rule scope :premises (@p820)) % 0.35/0.61 (step @p735 :rule process_scope :premises (@p821) :args (false)) % 0.35/0.61 (step @p741 :rule not_and :premises (@p735)) % 0.35/0.61 (step @p742 :rule eq_resolve :premises (@p741 @p635)) % 0.35/0.61 (step @p743 false :rule chain_m_resolution :premises (@p742 @p631 @p485 @p438 @p302 @p270) :args (false (@list false true false false true) (@list @t354 @t338 @t305 @t283 @t267))) % 0.35/0.61 ) % 0.35/0.61 % SZS output end Proof % 0.35/0.61 % cvc5 exiting %------------------------------------------------------------------------------