%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW608_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 : n019.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 45.80s 46.24s % Output : Proof 45.80s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW608_2 : TPTP v9.2.1. Released v6.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n019.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 22:18:49 EDT 2026 % 0.16/0.34 % CPUTime : % 0.26/0.50 %----Proving TF0_ARI % 45.80/46.24 --- Run --finite-model-find --decision=internal at 45... % 45.80/46.24 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 45.80/46.24 % SZS status Theorem % 45.80/46.24 % SZS output start Proof % 45.80/46.24 ( % 45.80/46.24 (declare-sort tptp.map_int_int 0) % 45.80/46.24 (declare-sort tptp.tuple0 0) % 45.80/46.24 (declare-sort tptp.bool 0) % 45.80/46.24 (declare-sort tptp.array_int 0) % 45.80/46.24 (declare-sort tptp.ty 0) % 45.80/46.24 (declare-sort tptp.uni 0) % 45.80/46.24 (declare-const tptp.mk_array (-> tptp.ty Int tptp.uni tptp.uni)) % 45.80/46.24 (declare-const tptp.const (-> tptp.ty tptp.ty tptp.uni tptp.uni)) % 45.80/46.24 (declare-const tptp.set (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 45.80/46.24 (declare-const tptp.tuple02 tptp.tuple0) % 45.80/46.24 (declare-const tptp.map (-> tptp.ty tptp.ty tptp.ty)) % 45.80/46.24 (declare-const tptp.false tptp.bool) % 45.80/46.24 (declare-const tptp.array (-> tptp.ty tptp.ty)) % 45.80/46.24 (declare-const tptp.match_bool (-> tptp.ty tptp.bool tptp.uni tptp.uni tptp.uni)) % 45.80/46.24 (declare-const tptp.true tptp.bool) % 45.80/46.24 (declare-const tptp.set1 (-> tptp.ty tptp.uni Int tptp.uni tptp.uni)) % 45.80/46.24 (declare-const tptp.num_of (-> tptp.map_int_int Int Int Int)) % 45.80/46.24 (declare-const tptp.sort (-> tptp.ty tptp.uni Bool)) % 45.80/46.24 (declare-const tptp.witness (-> tptp.ty tptp.uni)) % 45.80/46.24 (declare-const tptp.is_permutation (-> tptp.array_int Bool)) % 45.80/46.24 (declare-const tptp.pr (-> tptp.map_int_int Int Bool)) % 45.80/46.24 (declare-const tptp.get (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni)) % 45.80/46.24 (declare-const tptp.int tptp.ty) % 45.80/46.24 (declare-const tptp.elts (-> tptp.ty tptp.uni tptp.uni)) % 45.80/46.24 (declare-const tptp.get1 (-> tptp.ty tptp.uni Int tptp.uni)) % 45.80/46.24 (declare-const tptp.mk_ref (-> tptp.ty tptp.uni tptp.uni)) % 45.80/46.24 (declare-const tptp.t2tb (-> Int tptp.uni)) % 45.80/46.24 (declare-const tptp.tb2t (-> tptp.uni Int)) % 45.80/46.24 (declare-const tptp.loopinvariant (-> tptp.array_int tptp.array_int Int Int Int Bool)) % 45.80/46.24 (declare-const tptp.make (-> tptp.ty Int tptp.uni tptp.uni)) % 45.80/46.24 (declare-const tptp.ref (-> tptp.ty tptp.ty)) % 45.80/46.24 (declare-const tptp.contents (-> tptp.ty tptp.uni tptp.uni)) % 45.80/46.24 (declare-const tptp.prefix_tl (-> Int Int)) % 45.80/46.24 (declare-const tptp.length (-> tptp.ty tptp.uni Int)) % 45.80/46.24 (declare-const tptp.t2tb2 (-> tptp.array_int tptp.uni)) % 45.80/46.24 (declare-const tptp.t2tb1 (-> tptp.map_int_int tptp.uni)) % 45.80/46.24 (declare-const tptp.tb2t2 (-> tptp.uni tptp.array_int)) % 45.80/46.24 (declare-const tptp.tb2t1 (-> tptp.uni tptp.map_int_int)) % 45.80/46.24 (define @t1 () (@var "A" tptp.ty)) % 45.80/46.24 (define @t2 () (@var "X2" tptp.uni)) % 45.80/46.24 (define @t3 () (@var "X1" tptp.uni)) % 45.80/46.24 (define @t4 () (@var "X" tptp.bool)) % 45.80/46.24 (define @t5 () (@var "Z" tptp.uni)) % 45.80/46.24 (define @t6 () (@var "Z1" tptp.uni)) % 45.80/46.24 (define @t7 () (@list @t1 @t5 @t6)) % 45.80/46.24 (define @t8 () (@var "U" tptp.bool)) % 45.80/46.24 (define @t9 () (@var "U" tptp.tuple0)) % 45.80/46.24 (define @t10 () (@var "Z" Int)) % 45.80/46.24 (define @t11 () (@var "Y" Int)) % 45.80/46.24 (define @t12 () (@var "X" Int)) % 45.80/46.24 (define @t13 () (@var "X" tptp.uni)) % 45.80/46.24 (define @t14 () (@var "B" tptp.ty)) % 45.80/46.24 (define @t15 () (tptp.map @t1 @t14)) % 45.80/46.24 (define @t16 () (@var "B1" tptp.uni)) % 45.80/46.24 (define @t17 () (@var "A2" tptp.uni)) % 45.80/46.24 (define @t18 () (@var "A1" tptp.uni)) % 45.80/46.24 (define @t19 () (@var "M" tptp.uni)) % 45.80/46.24 (define @t20 () (tptp.get @t14 @t1 (tptp.set @t14 @t1 @t19 @t18 @t16) @t17)) % 45.80/46.24 (define @t21 () (= @t18 @t17)) % 45.80/46.24 (define @t22 () (=> @t21 (= @t20 @t16))) % 45.80/46.24 (define @t23 () (tptp.sort @t14 @t16)) % 45.80/46.24 (define @t24 () (=> @t23 @t22)) % 45.80/46.24 (define @t25 () (@list @t1 @t14 @t19 @t18 @t17 @t16)) % 45.80/46.24 (define @t26 () (forall @t25 @t24)) % 45.80/46.24 (define @t27 () (tptp.get @t14 @t1 @t19 @t17)) % 45.80/46.24 (define @t28 () (= @t20 @t27)) % 45.80/46.24 (define @t29 () (not @t21)) % 45.80/46.24 (define @t30 () (@list @t16)) % 45.80/46.24 (define @t31 () (forall @t30 (=> @t29 @t28))) % 45.80/46.24 (define @t32 () (tptp.sort @t1 @t17)) % 45.80/46.24 (define @t33 () (=> @t32 @t31)) % 45.80/46.24 (define @t34 () (tptp.sort @t1 @t18)) % 45.80/46.24 (define @t35 () (=> @t34 @t33)) % 45.80/46.24 (define @t36 () (@list @t1 @t14 @t19 @t18 @t17)) % 45.80/46.24 (define @t37 () (forall @t36 @t35)) % 45.80/46.24 (define @t38 () (tptp.array @t1)) % 45.80/46.24 (define @t39 () (@list @t1 @t12 @t3)) % 45.80/46.24 (define @t40 () (@var "U" Int)) % 45.80/46.24 (define @t41 () (@var "U1" tptp.uni)) % 45.80/46.24 (define @t42 () (tptp.mk_array @t1 @t40 @t41)) % 45.80/46.24 (define @t43 () (tptp.length @t1 @t42)) % 45.80/46.24 (define @t44 () (= @t43 @t40)) % 45.80/46.24 (define @t45 () (@list @t1 @t40 @t41)) % 45.80/46.24 (define @t46 () (forall @t45 @t44)) % 45.80/46.24 (define @t47 () (tptp.map tptp.int @t1)) % 45.80/46.24 (define @t48 () (@list @t1 @t13)) % 45.80/46.24 (define @t49 () (tptp.elts @t1 @t42)) % 45.80/46.24 (define @t50 () (tptp.sort @t47 @t41)) % 45.80/46.24 (define @t51 () (=> @t50 (= @t49 @t41))) % 45.80/46.24 (define @t52 () (forall @t45 @t51)) % 45.80/46.24 (define @t53 () (@var "U" tptp.uni)) % 45.80/46.24 (define @t54 () (@list @t1 @t53)) % 45.80/46.24 (define @t55 () (@var "X1" Int)) % 45.80/46.24 (define @t56 () (@list @t12)) % 45.80/46.24 (define @t57 () (@var "I" Int)) % 45.80/46.24 (define @t58 () (tptp.t2tb @t57)) % 45.80/46.24 (define @t59 () (tptp.tb2t @t58)) % 45.80/46.24 (define @t60 () (= @t59 @t57)) % 45.80/46.24 (define @t61 () (@list @t57)) % 45.80/46.24 (define @t62 () (forall @t61 @t60)) % 45.80/46.24 (define @t63 () (@var "J" tptp.uni)) % 45.80/46.24 (define @t64 () (tptp.t2tb (tptp.tb2t @t63))) % 45.80/46.24 (define @t65 () (@list @t63)) % 45.80/46.24 (define @t66 () (forall @t65 (= @t64 @t63))) % 45.80/46.24 (define @t67 () (tptp.elts @t1 @t18)) % 45.80/46.24 (define @t68 () (@var "V" tptp.uni)) % 45.80/46.24 (define @t69 () (@var "N" Int)) % 45.80/46.24 (define @t70 () (tptp.ref @t1)) % 45.80/46.24 (define @t71 () (@var "X" tptp.map_int_int)) % 45.80/46.24 (define @t72 () (tptp.map tptp.int tptp.int)) % 45.80/46.24 (define @t73 () (@var "I" tptp.map_int_int)) % 45.80/46.24 (define @t74 () (tptp.t2tb1 (tptp.tb2t1 @t63))) % 45.80/46.24 (define @t75 () (forall @t65 (= @t74 @t63))) % 45.80/46.24 (define @t76 () (@var "A" tptp.map_int_int)) % 45.80/46.24 (define @t77 () (tptp.t2tb1 @t76)) % 45.80/46.24 (define @t78 () (@var "B" Int)) % 45.80/46.24 (define @t79 () (@var "A" Int)) % 45.80/46.24 (define @t80 () (@var "P" tptp.map_int_int)) % 45.80/46.24 (define @t81 () (tptp.num_of @t80 @t79 @t78)) % 45.80/46.24 (define @t82 () (= @t81 0)) % 45.80/46.24 (define @t83 () (@list @t80 @t79 @t78)) % 45.80/46.24 (define @t84 () (- @t78 1)) % 45.80/46.24 (define @t85 () (tptp.num_of @t80 @t79 @t84)) % 45.80/46.24 (define @t86 () (tptp.pr @t80 @t84)) % 45.80/46.24 (define @t87 () (< @t79 @t78)) % 45.80/46.24 (define @t88 () (- @t78 @t79)) % 45.80/46.24 (define @t89 () (@var "C" Int)) % 45.80/46.24 (define @t90 () (<= @t79 @t78)) % 45.80/46.24 (define @t91 () (tptp.num_of @t80 (+ @t79 1) @t78)) % 45.80/46.24 (define @t92 () (tptp.pr @t80 @t79)) % 45.80/46.24 (define @t93 () (tptp.pr @t80 @t69)) % 45.80/46.24 (define @t94 () (and (<= @t79 @t69) (< @t69 @t78))) % 45.80/46.24 (define @t95 () (@list @t69)) % 45.80/46.24 (define @t96 () (@var "K" Int)) % 45.80/46.24 (define @t97 () (@var "J" Int)) % 45.80/46.24 (define @t98 () (tptp.num_of @t80 @t57 @t97)) % 45.80/46.24 (define @t99 () (<= @t97 @t96)) % 45.80/46.24 (define @t100 () (<= @t57 @t97)) % 45.80/46.24 (define @t101 () (@var "L" Int)) % 45.80/46.24 (define @t102 () (@var "P2" tptp.map_int_int)) % 45.80/46.24 (define @t103 () (tptp.num_of @t102 @t79 @t78)) % 45.80/46.24 (define @t104 () (@var "P1" tptp.map_int_int)) % 45.80/46.24 (define @t105 () (tptp.num_of @t104 @t79 @t78)) % 45.80/46.24 (define @t106 () (@list @t97)) % 45.80/46.24 (define @t107 () (forall @t106 (=> (and (<= @t79 @t97) (< @t97 @t78)) (=> (tptp.pr @t104 @t97) (tptp.pr @t102 @t97))))) % 45.80/46.24 (define @t108 () (@var "R" Int)) % 45.80/46.24 (define @t109 () (@var "M" tptp.map_int_int)) % 45.80/46.24 (define @t110 () (@var "V" Int)) % 45.80/46.24 (define @t111 () (tptp.t2tb1 @t109)) % 45.80/46.24 (define @t112 () (@var "X" tptp.array_int)) % 45.80/46.24 (define @t113 () (@var "I" tptp.array_int)) % 45.80/46.24 (define @t114 () (tptp.t2tb2 (tptp.tb2t2 @t63))) % 45.80/46.24 (define @t115 () (forall @t65 (= @t114 @t63))) % 45.80/46.24 (define @t116 () (@var "A" tptp.array_int)) % 45.80/46.24 (define @t117 () (tptp.t2tb2 @t116)) % 45.80/46.24 (define @t118 () (tptp.tb2t (tptp.get1 tptp.int @t117 @t57))) % 45.80/46.24 (define @t119 () (not (= @t118 (tptp.tb2t (tptp.get1 tptp.int @t117 @t97))))) % 45.80/46.24 (define @t120 () (= @t57 @t97)) % 45.80/46.24 (define @t121 () (not @t120)) % 45.80/46.24 (define @t122 () (=> @t121 @t119)) % 45.80/46.24 (define @t123 () (tptp.length tptp.int @t117)) % 45.80/46.24 (define @t124 () (and (<= 0 @t97) (< @t97 @t123))) % 45.80/46.24 (define @t125 () (=> @t124 @t122)) % 45.80/46.24 (define @t126 () (forall @t106 @t125)) % 45.80/46.24 (define @t127 () (and (<= 0 @t118) (< @t118 @t123) @t126)) % 45.80/46.24 (define @t128 () (<= 0 @t57)) % 45.80/46.24 (define @t129 () (and @t128 (< @t57 @t123))) % 45.80/46.24 (define @t130 () (=> @t129 @t127)) % 45.80/46.24 (define @t131 () (forall @t61 @t130)) % 45.80/46.24 (define @t132 () (tptp.is_permutation @t116)) % 45.80/46.24 (define @t133 () (= @t132 @t131)) % 45.80/46.24 (define @t134 () (forall (@list @t116) @t133)) % 45.80/46.24 (define @t135 () (@var "B" tptp.array_int)) % 45.80/46.24 (define @t136 () (tptp.t2tb2 @t135)) % 45.80/46.24 (define @t137 () (tptp.tb2t (tptp.get1 tptp.int @t136 @t57))) % 45.80/46.24 (define @t138 () (tptp.length tptp.int @t136)) % 45.80/46.24 (define @t139 () (and @t128 (< @t57 @t138))) % 45.80/46.24 (define @t140 () (@var "E" Int)) % 45.80/46.24 (define @t141 () (tptp.tb2t (tptp.get1 tptp.int @t117 @t140))) % 45.80/46.24 (define @t142 () (tptp.prefix_tl @t141)) % 45.80/46.24 (define @t143 () (@var "M" Int)) % 45.80/46.24 (define @t144 () (@var "Old" tptp.array_int)) % 45.80/46.24 (define @t145 () (tptp.t2tb2 @t144)) % 45.80/46.24 (define @t146 () (@var "Mqt" Int)) % 45.80/46.24 (define @t147 () (<= 0 @t140)) % 45.80/46.24 (define @t148 () (and @t147 (<= @t140 @t146))) % 45.80/46.24 (define @t149 () (@list @t140)) % 45.80/46.24 (define @t150 () (<= 0 @t141)) % 45.80/46.24 (define @t151 () (< @t140 @t69)) % 45.80/46.24 (define @t152 () (and (< @t143 @t140) @t151)) % 45.80/46.24 (define @t153 () (@var "A2" tptp.map_int_int)) % 45.80/46.24 (define @t154 () (tptp.is_permutation (tptp.tb2t2 (tptp.mk_array tptp.int 3 (tptp.t2tb1 @t153))))) % 45.80/46.24 (define @t155 () (tptp.t2tb 1)) % 45.80/46.24 (define @t156 () (@var "A1" tptp.map_int_int)) % 45.80/46.24 (define @t157 () (tptp.tb2t1 (tptp.set tptp.int tptp.int (tptp.t2tb1 @t156) @t155 @t155))) % 45.80/46.24 (define @t158 () (= @t153 @t157)) % 45.80/46.24 (define @t159 () (<= 0 3)) % 45.80/46.24 (define @t160 () (and @t159 @t158)) % 45.80/46.24 (define @t161 () (=> @t160 @t154)) % 45.80/46.24 (define @t162 () (@list @t153)) % 45.80/46.24 (define @t163 () (forall @t162 @t161)) % 45.80/46.24 (define @t164 () (< 1 3)) % 45.80/46.24 (define @t165 () (<= 0 1)) % 45.80/46.24 (define @t166 () (and @t165 @t164 @t163)) % 45.80/46.24 (define @t167 () (tptp.t2tb 0)) % 45.80/46.24 (define @t168 () (tptp.t2tb 2)) % 45.80/46.24 (define @t169 () (tptp.tb2t1 (tptp.set tptp.int tptp.int @t77 @t168 @t167))) % 45.80/46.24 (define @t170 () (= @t156 @t169)) % 45.80/46.24 (define @t171 () (and @t159 @t170)) % 45.80/46.24 (define @t172 () (=> @t171 @t166)) % 45.80/46.24 (define @t173 () (@list @t156)) % 45.80/46.24 (define @t174 () (forall @t173 @t172)) % 45.80/46.24 (define @t175 () (< 2 3)) % 45.80/46.24 (define @t176 () (<= 0 2)) % 45.80/46.24 (define @t177 () (and @t176 @t175 @t174)) % 45.80/46.24 (define @t178 () (tptp.const tptp.int tptp.int @t167)) % 45.80/46.24 (define @t179 () (tptp.set tptp.int tptp.int @t178 @t167 @t168)) % 45.80/46.24 (define @t180 () (tptp.tb2t1 @t179)) % 45.80/46.24 (define @t181 () (= @t76 @t180)) % 45.80/46.24 (define @t182 () (and @t159 @t181)) % 45.80/46.24 (define @t183 () (=> @t182 @t177)) % 45.80/46.24 (define @t184 () (@list @t76)) % 45.80/46.24 (define @t185 () (forall @t184 @t183)) % 45.80/46.24 (define @t186 () (< 0 3)) % 45.80/46.24 (define @t187 () (<= 0 0)) % 45.80/46.24 (define @t188 () (and @t187 @t186 @t185)) % 45.80/46.24 (define @t189 () (=> @t159 @t188)) % 45.80/46.24 (define @t190 () (and @t159 @t189)) % 45.80/46.24 (define @t191 () (not @t190)) % 45.80/46.24 (define @t192 () (= @t57 @t59)) % 45.80/46.24 (define @t193 () (tptp.tb2t @t168)) % 45.80/46.24 (define @t194 () (= @t193 2)) % 45.80/46.24 (define @t195 () (= 2 @t193)) % 45.80/46.24 (define @t196 () (forall @t61 @t192)) % 45.80/46.24 (define @t197 () (@list 2)) % 45.80/46.24 (define @t198 () (@list false)) % 45.80/46.24 (define @t199 () (@list @t196)) % 45.80/46.24 (define @t200 () (tptp.t2tb1 @t180)) % 45.80/46.24 (define @t201 () (tptp.set tptp.int tptp.int @t200 @t168 @t167)) % 45.80/46.24 (define @t202 () (tptp.t2tb1 (tptp.tb2t1 @t201))) % 45.80/46.24 (define @t203 () (tptp.set tptp.int tptp.int @t202 @t155 @t155)) % 45.80/46.24 (define @t204 () (tptp.tb2t1 @t203)) % 45.80/46.24 (define @t205 () (tptp.t2tb1 @t204)) % 45.80/46.24 (define @t206 () (tptp.mk_array tptp.int 3 @t205)) % 45.80/46.24 (define @t207 () (= @t16 (tptp.get @t14 @t1 (tptp.set @t14 @t1 @t19 @t17 @t16) @t17))) % 45.80/46.24 (define @t208 () (not @t23)) % 45.80/46.24 (define @t209 () (not (= @t17 @t17))) % 45.80/46.24 (define @t210 () (or @t208 @t209 @t207)) % 45.80/46.24 (define @t211 () (@list @t1 @t14 @t19 @t17 @t16)) % 45.80/46.24 (define @t212 () (= @t16 @t20)) % 45.80/46.24 (define @t213 () (or @t29 @t208 @t29 @t212)) % 45.80/46.24 (define @t214 () (@list @t18)) % 45.80/46.24 (define @t215 () (or @t208 @t29 @t212)) % 45.80/46.24 (define @t216 () (forall @t214 @t215)) % 45.80/46.24 (define @t217 () (forall @t211 @t216)) % 45.80/46.24 (define @t218 () (forall (@list @t1 @t14 @t19 @t17 @t16 @t18) @t215)) % 45.80/46.24 (define @t219 () (=> @t21 @t212)) % 45.80/46.24 (define @t220 () (tptp.get tptp.int tptp.int @t179 @t167)) % 45.80/46.24 (define @t221 () (= @t168 @t220)) % 45.80/46.24 (define @t222 () (tptp.sort tptp.int @t168)) % 45.80/46.24 (define @t223 () (not @t222)) % 45.80/46.24 (define @t224 () (or @t223 @t221)) % 45.80/46.24 (define @t225 () (@list false false)) % 45.80/46.24 (define @t226 () (= @t41 @t49)) % 45.80/46.24 (define @t227 () (@list tptp.int 3 @t205)) % 45.80/46.24 (define @t228 () (tptp.elts tptp.int @t206)) % 45.80/46.24 (define @t229 () (= @t205 @t228)) % 45.80/46.24 (define @t230 () (tptp.sort @t72 @t205)) % 45.80/46.24 (define @t231 () (not @t230)) % 45.80/46.24 (define @t232 () (or @t231 @t229)) % 45.80/46.24 (define @t233 () (@var "BOUND_VARIABLE_8475" Int)) % 45.80/46.24 (define @t234 () (= @t57 @t233)) % 45.80/46.24 (define @t235 () (* -1 @t123)) % 45.80/46.24 (define @t236 () (not (>= @t233 0))) % 45.80/46.24 (define @t237 () (or @t236 (>= (+ @t233 @t235) 0) @t234 (not (= @t118 (tptp.tb2t (tptp.get1 tptp.int @t117 @t233)))))) % 45.80/46.24 (define @t238 () (+ @t123 (* -1 @t118))) % 45.80/46.24 (define @t239 () (>= @t238 1)) % 45.80/46.24 (define @t240 () (>= @t118 0)) % 45.80/46.24 (define @t241 () (and @t240 @t239 @t237)) % 45.80/46.24 (define @t242 () (+ @t57 @t235)) % 45.80/46.24 (define @t243 () (>= @t242 0)) % 45.80/46.24 (define @t244 () (>= @t57 0)) % 45.80/46.24 (define @t245 () (not @t244)) % 45.80/46.24 (define @t246 () (or @t245 @t243 @t241)) % 45.80/46.24 (define @t247 () (@list @t57 @t233)) % 45.80/46.24 (define @t248 () (@list @t233)) % 45.80/46.24 (define @t249 () (forall @t248 @t246)) % 45.80/46.24 (define @t250 () (forall @t248 @t237)) % 45.80/46.24 (define @t251 () (forall @t248 @t239)) % 45.80/46.24 (define @t252 () (forall @t248 @t240)) % 45.80/46.24 (define @t253 () (and @t252 @t251 @t250)) % 45.80/46.24 (define @t254 () (forall @t248 @t241)) % 45.80/46.24 (define @t255 () (or @t245 @t243 @t254)) % 45.80/46.24 (define @t256 () (+ @t97 @t235)) % 45.80/46.24 (define @t257 () (>= @t256 0)) % 45.80/46.24 (define @t258 () (>= @t97 0)) % 45.80/46.24 (define @t259 () (not @t258)) % 45.80/46.24 (define @t260 () (or @t259 @t257 @t120 @t119)) % 45.80/46.24 (define @t261 () (and @t240 @t239 (forall @t106 @t260))) % 45.80/46.24 (define @t262 () (or @t245 @t243 @t261)) % 45.80/46.24 (define @t263 () (not @t243)) % 45.80/46.24 (define @t264 () (and @t244 @t263)) % 45.80/46.24 (define @t265 () (not @t257)) % 45.80/46.24 (define @t266 () (and @t258 @t265)) % 45.80/46.24 (define @t267 () (>= @t97 @t123)) % 45.80/46.24 (define @t268 () (+ @t238 1)) % 45.80/46.24 (define @t269 () (>= @t118 @t123)) % 45.80/46.24 (define @t270 () (>= @t57 @t123)) % 45.80/46.24 (define @t271 () (tptp.tb2t2 @t206)) % 45.80/46.24 (define @t272 () (tptp.is_permutation @t271)) % 45.80/46.24 (define @t273 () (not (= @t180 @t180))) % 45.80/46.24 (define @t274 () (or @t273 @t272)) % 45.80/46.24 (define @t275 () (tptp.is_permutation (tptp.tb2t2 (tptp.mk_array tptp.int 3 (tptp.t2tb1 (tptp.tb2t1 (tptp.set tptp.int tptp.int (tptp.t2tb1 @t169) @t155 @t155))))))) % 45.80/46.24 (define @t276 () (not @t181)) % 45.80/46.24 (define @t277 () (or @t276 @t276 @t275)) % 45.80/46.24 (define @t278 () (or @t276 @t275)) % 45.80/46.24 (define @t279 () (not (= @t169 @t169))) % 45.80/46.24 (define @t280 () (or @t279 @t275)) % 45.80/46.24 (define @t281 () (tptp.is_permutation (tptp.tb2t2 (tptp.mk_array tptp.int 3 (tptp.t2tb1 @t157))))) % 45.80/46.24 (define @t282 () (not @t170)) % 45.80/46.24 (define @t283 () (or @t282 @t282 @t281)) % 45.80/46.24 (define @t284 () (or @t282 @t281)) % 45.80/46.24 (define @t285 () (not (= @t157 @t157))) % 45.80/46.24 (define @t286 () (or @t285 @t281)) % 45.80/46.24 (define @t287 () (not @t158)) % 45.80/46.24 (define @t288 () (or @t287 @t287 @t154)) % 45.80/46.24 (define @t289 () (or @t287 @t154)) % 45.80/46.24 (define @t290 () (tptp.t2tb2 @t271)) % 45.80/46.24 (define @t291 () (tptp.tb2t (tptp.get1 tptp.int @t290 @t57))) % 45.80/46.24 (define @t292 () (tptp.length tptp.int @t290)) % 45.80/46.24 (define @t293 () (* -1 @t292)) % 45.80/46.24 (define @t294 () (forall @t247 (or @t245 (>= (+ @t57 @t293) 0) (and (>= @t291 0) (>= (+ @t292 (* -1 @t291)) 1) (or @t236 (>= (+ @t233 @t293) 0) @t234 (not (= @t291 (tptp.tb2t (tptp.get1 tptp.int @t290 @t233))))))))) % 45.80/46.24 (define @t295 () (= @t272 @t294)) % 45.80/46.24 (define @t296 () (not @t294)) % 45.80/46.24 (define @t297 () (@quantifiers_skolemize @t294 0)) % 45.80/46.24 (define @t298 () (>= @t297 0)) % 45.80/46.24 (define @t299 () (@quantifiers_skolemize @t294 1)) % 45.80/46.24 (define @t300 () (tptp.get1 tptp.int @t290 @t299)) % 45.80/46.24 (define @t301 () (tptp.tb2t @t300)) % 45.80/46.24 (define @t302 () (tptp.get1 tptp.int @t290 @t297)) % 45.80/46.24 (define @t303 () (tptp.tb2t @t302)) % 45.80/46.24 (define @t304 () (= @t303 @t301)) % 45.80/46.24 (define @t305 () (not @t304)) % 45.80/46.24 (define @t306 () (= @t297 @t299)) % 45.80/46.24 (define @t307 () (+ @t299 @t293)) % 45.80/46.24 (define @t308 () (>= @t307 0)) % 45.80/46.24 (define @t309 () (>= @t299 0)) % 45.80/46.24 (define @t310 () (not @t309)) % 45.80/46.24 (define @t311 () (or @t310 @t308 @t306 @t305)) % 45.80/46.24 (define @t312 () (* -1 @t303)) % 45.80/46.24 (define @t313 () (+ @t292 @t312)) % 45.80/46.24 (define @t314 () (>= @t313 1)) % 45.80/46.24 (define @t315 () (>= @t303 0)) % 45.80/46.24 (define @t316 () (and @t315 @t314 @t311)) % 45.80/46.24 (define @t317 () (+ @t297 @t293)) % 45.80/46.24 (define @t318 () (>= @t317 0)) % 45.80/46.24 (define @t319 () (not @t298)) % 45.80/46.24 (define @t320 () (or @t319 @t318 @t316)) % 45.80/46.24 (define @t321 () (@list true)) % 45.80/46.24 (define @t322 () (@list @t320)) % 45.80/46.24 (define @t323 () (@list 0)) % 45.80/46.24 (define @t324 () (@var "BOUND_VARIABLE_8091" tptp.uni)) % 45.80/46.24 (define @t325 () (tptp.get @t14 @t1 (tptp.set @t14 @t1 @t19 @t18 @t324) @t17)) % 45.80/46.24 (define @t326 () (not @t32)) % 45.80/46.24 (define @t327 () (not @t34)) % 45.80/46.24 (define @t328 () (= @t325 @t27)) % 45.80/46.24 (define @t329 () (or @t327 @t326 @t21 @t328)) % 45.80/46.24 (define @t330 () (@list @t1 @t14 @t19 @t18 @t17 @t324)) % 45.80/46.24 (define @t331 () (forall @t330 @t329)) % 45.80/46.24 (define @t332 () (@list @t324)) % 45.80/46.24 (define @t333 () (forall @t332 @t329)) % 45.80/46.24 (define @t334 () (forall @t332 @t328)) % 45.80/46.24 (define @t335 () (or @t327 @t326 @t21 @t334)) % 45.80/46.24 (define @t336 () (forall @t30 @t28)) % 45.80/46.24 (define @t337 () (or @t327 @t326 @t21 @t336)) % 45.80/46.24 (define @t338 () (or @t326 @t21 @t336)) % 45.80/46.24 (define @t339 () (or @t21 @t336)) % 45.80/46.24 (define @t340 () (=> @t32 @t339)) % 45.80/46.24 (define @t341 () (tptp.get tptp.int tptp.int @t201 @t167)) % 45.80/46.24 (define @t342 () (tptp.get tptp.int tptp.int @t200 @t167)) % 45.80/46.24 (define @t343 () (= @t342 @t341)) % 45.80/46.24 (define @t344 () (tptp.sort tptp.int @t167)) % 45.80/46.24 (define @t345 () (not @t344)) % 45.80/46.24 (define @t346 () (or @t223 @t345 (= @t168 @t167) @t343)) % 45.80/46.24 (define @t347 () (forall @t330 (or @t327 @t326 @t21 (= @t27 @t325)))) % 45.80/46.24 (define @t348 () (= @t167 @t168)) % 45.80/46.24 (define @t349 () (or @t223 @t345 @t348 @t343)) % 45.80/46.24 (define @t350 () (@list @t347)) % 45.80/46.24 (define @t351 () (tptp.get tptp.int tptp.int @t201 @t168)) % 45.80/46.24 (define @t352 () (= @t167 @t351)) % 45.80/46.24 (define @t353 () (or @t345 @t352)) % 45.80/46.24 (define @t354 () (= @t179 @t200)) % 45.80/46.24 (define @t355 () (= @t201 @t202)) % 45.80/46.24 (define @t356 () (tptp.get tptp.int tptp.int @t202 @t167)) % 45.80/46.24 (define @t357 () (tptp.get tptp.int tptp.int @t202 @t168)) % 45.80/46.24 (define @t358 () (and @t221 @t352 @t354 @t355 @t348)) % 45.80/46.24 (define @t359 () (not @t348)) % 45.80/46.24 (define @t360 () (not @t355)) % 45.80/46.24 (define @t361 () (not @t354)) % 45.80/46.24 (define @t362 () (not @t352)) % 45.80/46.24 (define @t363 () (not @t221)) % 45.80/46.24 (define @t364 () (tptp.tb2t @t155)) % 45.80/46.24 (define @t365 () (= @t364 1)) % 45.80/46.24 (define @t366 () (= 1 @t364)) % 45.80/46.24 (define @t367 () (@list 1)) % 45.80/46.24 (define @t368 () (tptp.get tptp.int tptp.int @t203 @t155)) % 45.80/46.24 (define @t369 () (= @t155 @t368)) % 45.80/46.24 (define @t370 () (tptp.sort tptp.int @t155)) % 45.80/46.24 (define @t371 () (not @t370)) % 45.80/46.24 (define @t372 () (or @t371 @t369)) % 45.80/46.24 (define @t373 () (= @t203 @t205)) % 45.80/46.24 (define @t374 () (= @t206 @t290)) % 45.80/46.24 (define @t375 () (tptp.get tptp.int tptp.int @t228 @t155)) % 45.80/46.24 (define @t376 () (tptp.get1 tptp.int @t206 1)) % 45.80/46.24 (define @t377 () (= @t376 @t375)) % 45.80/46.24 (define @t378 () (= @t297 1)) % 45.80/46.24 (define @t379 () (= 1 @t303)) % 45.80/46.24 (define @t380 () (= @t303 1)) % 45.80/46.24 (define @t381 () (= 1 @t297)) % 45.80/46.24 (define @t382 () (tptp.get tptp.int tptp.int @t205 @t155)) % 45.80/46.24 (define @t383 () (and @t369 @t229 @t365 @t373 @t374 @t377 @t378)) % 45.80/46.24 (define @t384 () (< @t303 0)) % 45.80/46.24 (define @t385 () (not @t384)) % 45.80/46.24 (define @t386 () (>= 0 -1)) % 45.80/46.24 (define @t387 () (* -1 1)) % 45.80/46.24 (define @t388 () (+ 0 @t387)) % 45.80/46.24 (define @t389 () (+ @t303 @t312)) % 45.80/46.24 (define @t390 () (= @t389 0)) % 45.80/46.24 (define @t391 () (>= @t389 @t388)) % 45.80/46.24 (define @t392 () (< -1 0)) % 45.80/46.24 (define @t393 () (not @t378)) % 45.80/46.24 (define @t394 () (not @t377)) % 45.80/46.24 (define @t395 () (not @t374)) % 45.80/46.24 (define @t396 () (not @t373)) % 45.80/46.24 (define @t397 () (not @t365)) % 45.80/46.24 (define @t398 () (not @t229)) % 45.80/46.24 (define @t399 () (not @t369)) % 45.80/46.24 (define @t400 () (tptp.length tptp.int @t206)) % 45.80/46.24 (define @t401 () (= @t40 @t43)) % 45.80/46.24 (define @t402 () (= @t292 3)) % 45.80/46.24 (define @t403 () (= 3 @t292)) % 45.80/46.24 (define @t404 () (not @t403)) % 45.80/46.24 (define @t405 () (not @t379)) % 45.80/46.24 (define @t406 () (not @t314)) % 45.80/46.24 (define @t407 () (not @t406)) % 45.80/46.24 (define @t408 () (* -1 3)) % 45.80/46.24 (define @t409 () (+ 1 1 @t408)) % 45.80/46.24 (define @t410 () (+ @t312 @t303 @t293 @t292)) % 45.80/46.24 (define @t411 () (= @t410 0)) % 45.80/46.24 (define @t412 () (+ @t313 @t303 @t293)) % 45.80/46.24 (define @t413 () (= @t412 @t410)) % 45.80/46.24 (define @t414 () (>= @t412 @t409)) % 45.80/46.24 (define @t415 () (not @t402)) % 45.80/46.24 (define @t416 () (tptp.get tptp.int tptp.int @t203 @t168)) % 45.80/46.24 (define @t417 () (= @t357 @t416)) % 45.80/46.24 (define @t418 () (or @t371 @t223 (= @t155 @t168) @t417)) % 45.80/46.24 (define @t419 () (= @t168 @t155)) % 45.80/46.24 (define @t420 () (or @t371 @t223 @t419 @t417)) % 45.80/46.24 (define @t421 () (and @t366 @t419 @t195)) % 45.80/46.24 (define @t422 () (not @t419)) % 45.80/46.24 (define @t423 () (@list false false true false)) % 45.80/46.24 (define @t424 () (tptp.tb2t @t167)) % 45.80/46.24 (define @t425 () (= @t424 0)) % 45.80/46.24 (define @t426 () (= 0 @t424)) % 45.80/46.24 (define @t427 () (= @t167 @t155)) % 45.80/46.24 (define @t428 () (and @t426 @t427 @t366)) % 45.80/46.24 (define @t429 () (tptp.t2tb @t301)) % 45.80/46.24 (define @t430 () (= @t300 @t429)) % 45.80/46.24 (define @t431 () (tptp.t2tb @t299)) % 45.80/46.24 (define @t432 () (tptp.elts tptp.int @t290)) % 45.80/46.24 (define @t433 () (tptp.get tptp.int tptp.int @t432 @t431)) % 45.80/46.24 (define @t434 () (= @t300 @t433)) % 45.80/46.24 (define @t435 () (= @t299 2)) % 45.80/46.24 (define @t436 () (= 1 @t301)) % 45.80/46.24 (define @t437 () (= 2 @t299)) % 45.80/46.24 (define @t438 () (tptp.get tptp.int tptp.int @t203 @t431)) % 45.80/46.24 (define @t439 () (tptp.get tptp.int tptp.int @t205 @t168)) % 45.80/46.24 (define @t440 () (and @t352 @t369 @t229 @t365 @t355 @t373 @t374 @t304 @t430 @t434 @t377 @t378 @t417 @t435)) % 45.80/46.24 (define @t441 () (not @t435)) % 45.80/46.24 (define @t442 () (not @t417)) % 45.80/46.24 (define @t443 () (not @t434)) % 45.80/46.24 (define @t444 () (not @t430)) % 45.80/46.24 (define @t445 () (= @t400 3)) % 45.80/46.24 (define @t446 () (= 3 @t400)) % 45.80/46.24 (define @t447 () (forall @t45 @t401)) % 45.80/46.24 (define @t448 () (>= @t299 2)) % 45.80/46.24 (define @t449 () (not @t448)) % 45.80/46.24 (define @t450 () (not @t445)) % 45.80/46.24 (define @t451 () (not @t308)) % 45.80/46.24 (define @t452 () (= 3 @t299)) % 45.80/46.24 (define @t453 () (not @t452)) % 45.80/46.24 (define @t454 () (< @t307 0)) % 45.80/46.24 (define @t455 () (* -1 4)) % 45.80/46.24 (define @t456 () (+ 0 3 @t455)) % 45.80/46.24 (define @t457 () (* -1 @t299)) % 45.80/46.24 (define @t458 () (+ @t457 @t299 @t293 @t292)) % 45.80/46.24 (define @t459 () (+ @t307 @t292 @t457)) % 45.80/46.24 (define @t460 () (>= @t459 @t456)) % 45.80/46.24 (define @t461 () (= @t299 3)) % 45.80/46.24 (define @t462 () (= @t299 @t292)) % 45.80/46.24 (define @t463 () (>= -1 0)) % 45.80/46.24 (define @t464 () (+ -1 @t293)) % 45.80/46.24 (define @t465 () (- @t464 @t293)) % 45.80/46.24 (define @t466 () (= @t465 -1)) % 45.80/46.24 (define @t467 () (>= @t465 0)) % 45.80/46.24 (define @t468 () (+ @t293 -1)) % 45.80/46.24 (define @t469 () (= @t468 @t464)) % 45.80/46.24 (define @t470 () (+ @t457 @t299 @t293)) % 45.80/46.24 (define @t471 () (+ @t457 @t307)) % 45.80/46.24 (define @t472 () (and @t453 @t441 @t448 @t403 @t451)) % 45.80/46.24 (define @t473 () (tptp.get tptp.int tptp.int @t202 @t431)) % 45.80/46.24 (define @t474 () (= @t473 @t438)) % 45.80/46.24 (define @t475 () (not @t474)) % 45.80/46.24 (define @t476 () (not @t343)) % 45.80/46.24 (define @t477 () (not @t449)) % 45.80/46.24 (define @t478 () (not @t306)) % 45.80/46.24 (define @t479 () (not @t478)) % 45.80/46.24 (define @t480 () (= 0 @t299)) % 45.80/46.24 (define @t481 () (tptp.get tptp.int tptp.int @t201 @t431)) % 45.80/46.24 (define @t482 () (= 1 @t299)) % 45.80/46.24 (define @t483 () (not @t482)) % 45.80/46.24 (define @t484 () (and @t221 @t369 @t229 @t365 @t354 @t355 @t373 @t374 @t309 @t304 @t478 @t430 @t434 @t377 @t378 @t343 @t422 @t449)) % 45.80/46.24 (define @t485 () (= @t155 @t431)) % 45.80/46.24 (define @t486 () (tptp.sort tptp.int @t431)) % 45.80/46.24 (define @t487 () (not @t486)) % 45.80/46.24 (define @t488 () (or @t371 @t487 @t485 @t474)) % 45.80/46.24 (define @t489 () (not @t485)) % 45.80/46.24 (define @t490 () (and @t309 @t478 @t485 @t378 @t449)) % 45.80/46.24 (define @t491 () (= @t297 2)) % 45.80/46.24 (define @t492 () (not @t491)) % 45.80/46.24 (define @t493 () (tptp.t2tb @t297)) % 45.80/46.24 (define @t494 () (tptp.get tptp.int tptp.int @t432 @t493)) % 45.80/46.24 (define @t495 () (= @t302 @t494)) % 45.80/46.24 (define @t496 () (not @t495)) % 45.80/46.24 (define @t497 () (not @t425)) % 45.80/46.24 (define @t498 () (not @t315)) % 45.80/46.24 (define @t499 () (= 0 @t303)) % 45.80/46.24 (define @t500 () (+ -1 1)) % 45.80/46.24 (define @t501 () (>= @t303 @t500)) % 45.80/46.24 (define @t502 () (<= @t303 -1)) % 45.80/46.24 (define @t503 () (* -1 0)) % 45.80/46.24 (define @t504 () (+ -1 @t503)) % 45.80/46.24 (define @t505 () (= @t303 0)) % 45.80/46.24 (define @t506 () (= 2 @t297)) % 45.80/46.24 (define @t507 () (tptp.get tptp.int tptp.int @t203 @t493)) % 45.80/46.24 (define @t508 () (and @t498 @t499)) % 45.80/46.24 (define @t509 () (and @t478 @t435)) % 45.80/46.24 (define @t510 () (not @t318)) % 45.80/46.24 (define @t511 () (>= @t297 2)) % 45.80/46.24 (define @t512 () (not @t511)) % 45.80/46.24 (define @t513 () (= 3 @t297)) % 45.80/46.24 (define @t514 () (not @t513)) % 45.80/46.24 (define @t515 () (>= @t297 4)) % 45.80/46.24 (define @t516 () (+ @t455 0 3)) % 45.80/46.24 (define @t517 () (* -1 @t297)) % 45.80/46.24 (define @t518 () (+ @t517 @t297 @t293 @t292)) % 45.80/46.24 (define @t519 () (+ @t517 @t317 @t292)) % 45.80/46.24 (define @t520 () (>= @t519 @t516)) % 45.80/46.24 (define @t521 () (= @t297 3)) % 45.80/46.24 (define @t522 () (= @t297 @t292)) % 45.80/46.24 (define @t523 () (+ @t517 @t297 @t293)) % 45.80/46.24 (define @t524 () (+ @t517 @t317)) % 45.80/46.24 (define @t525 () (and @t403 @t510 @t514 @t511 @t492)) % 45.80/46.24 (define @t526 () (= @t155 @t493)) % 45.80/46.24 (define @t527 () (not @t526)) % 45.80/46.24 (define @t528 () (not @t512)) % 45.80/46.24 (define @t529 () (not @t393)) % 45.80/46.24 (define @t530 () (= 0 @t297)) % 45.80/46.24 (define @t531 () (= @t297 0)) % 45.80/46.24 (define @t532 () (= (* 1 (- 0 @t297)) (* -1 (- @t297 0)))) % 45.80/46.24 (define @t533 () (= @t530 @t531)) % 45.80/46.24 (define @t534 () (and true true true)) % 45.80/46.24 (define @t535 () (=> @t534 @t530)) % 45.80/46.24 (define @t536 () (and @t298 @t393 @t512)) % 45.80/46.24 (define @t537 () (=> @t536 @t530)) % 45.80/46.24 (define @t538 () (and @t298 @t526 @t393 @t512)) % 45.80/46.24 (define @t539 () (tptp.get tptp.int tptp.int @t202 @t493)) % 45.80/46.24 (define @t540 () (= @t539 @t507)) % 45.80/46.24 (define @t541 () (tptp.sort tptp.int @t493)) % 45.80/46.24 (define @t542 () (not @t541)) % 45.80/46.24 (define @t543 () (or @t371 @t542 @t526 @t540)) % 45.80/46.24 (define @t544 () (and @t426 @t348 @t195)) % 45.80/46.24 (define @t545 () (not @t540)) % 45.80/46.24 (define @t546 () (tptp.t2tb @t303)) % 45.80/46.24 (define @t547 () (= @t302 @t546)) % 45.80/46.24 (define @t548 () (not @t547)) % 45.80/46.24 (define @t549 () (tptp.get tptp.int tptp.int @t201 @t493)) % 45.80/46.24 (define @t550 () (and @t221 @t352 @t229 @t354 @t355 @t373 @t374 @t298 @t304 @t547 @t430 @t495 @t434 @t540 @t343 @t417 @t435 @t393 @t512)) % 45.80/46.24 (define @t551 () (= @t299 1)) % 45.80/46.24 (define @t552 () (not @t551)) % 45.80/46.24 (define @t553 () (not @t552)) % 45.80/46.24 (define @t554 () (and @t309 @t449 @t552 @t298 @t393 @t512 @t478)) % 45.80/46.24 (define @t555 () (= false true)) % 45.80/46.24 (define @t556 () (and @t221 @t369 @t229 @t354 @t355 @t373 @t374 @t298 @t304 @t551 @t547 @t430 @t495 @t377 @t540 @t343 @t393 @t512)) % 45.80/46.24 (define @t557 () (and @t352 @t369 @t229 @t355 @t373 @t374 @t304 @t551 @t547 @t430 @t495 @t377 @t417 @t491)) % 45.80/46.24 (define @t558 () (and @t221 @t352 @t229 @t354 @t355 @t373 @t374 @t309 @t304 @t547 @t430 @t495 @t434 @t474 @t343 @t417 @t552 @t491 @t449)) % 45.80/46.24 (define @t559 () (and @t309 @t485 @t552 @t449)) % 45.80/46.24 (define @t560 () (not @t499)) % 45.80/46.24 (define @t561 () (>= 0 -2)) % 45.80/46.24 (define @t562 () (+ 1 0 @t408)) % 45.80/46.24 (define @t563 () (>= @t412 @t562)) % 45.80/46.24 (define @t564 () (and @t352 @t229 @t425 @t355 @t373 @t374 @t495 @t417 @t491)) % 45.80/46.24 (define @t565 () (not @t194)) % 45.80/46.24 (define @t566 () (= 2 @t303)) % 45.80/46.24 (define @t567 () (* -1 2)) % 45.80/46.24 (define @t568 () (+ 0 @t567)) % 45.80/46.24 (define @t569 () (>= @t389 @t568)) % 45.80/46.24 (define @t570 () (= @t303 2)) % 45.80/46.24 (define @t571 () (and @t221 @t229 @t194 @t354 @t355 @t373 @t374 @t298 @t495 @t540 @t343 @t393 @t512)) % 45.80/46.24 (define @t572 () (not @t566)) % 45.80/46.24 (define @t573 () (+ 1 2 @t408)) % 45.80/46.24 (define @t574 () (>= @t412 @t573)) % 45.80/46.24 (define @t575 () (not @t570)) % 45.80/46.24 (assume @p1 (forall (@list @t1) (tptp.sort @t1 (tptp.witness @t1)))) % 45.80/46.24 (assume @p2 (forall (@list @t1 @t4 @t3 @t2) (tptp.sort @t1 (tptp.match_bool @t1 @t4 @t3 @t2)))) % 45.80/46.24 (assume @p3 (forall @t7 (=> (tptp.sort @t1 @t5) (= (tptp.match_bool @t1 tptp.true @t5 @t6) @t5)))) % 45.80/46.24 (assume @p4 (forall @t7 (=> (tptp.sort @t1 @t6) (= (tptp.match_bool @t1 tptp.false @t5 @t6) @t6)))) % 45.80/46.24 (assume @p5 (not (= tptp.true tptp.false))) % 45.80/46.24 (assume @p6 (forall (@list @t8) (or (= @t8 tptp.true) (= @t8 tptp.false)))) % 45.80/46.24 (assume @p7 (forall (@list @t9) (= @t9 tptp.tuple02))) % 45.80/46.24 (assume @p8 (forall (@list @t12 @t11 @t10) (=> (<= @t12 @t11) (=> (<= 0 @t10) (<= (* @t12 @t10) (* @t11 @t10)))))) % 45.80/46.24 (assume @p9 (forall (@list @t1 @t14 @t13 @t3) (tptp.sort @t14 (tptp.get @t14 @t1 @t13 @t3)))) % 45.80/46.24 (assume @p10 (forall (@list @t1 @t14 @t13 @t3 @t2) (tptp.sort @t15 (tptp.set @t14 @t1 @t13 @t3 @t2)))) % 45.80/46.24 (assume @p11 @t26) % 45.80/46.24 (assume @p12 @t37) % 45.80/46.24 (assume @p13 (forall (@list @t1 @t14 @t13) (tptp.sort @t15 (tptp.const @t14 @t1 @t13)))) % 45.80/46.24 (assume @p14 (forall (@list @t1 @t14 @t16 @t18) (=> @t23 (= (tptp.get @t14 @t1 (tptp.const @t14 @t1 @t16) @t18) @t16)))) % 45.80/46.24 (assume @p15 (forall @t39 (tptp.sort @t38 (tptp.mk_array @t1 @t12 @t3)))) % 45.80/46.24 (assume @p16 @t46) % 45.80/46.24 (assume @p17 (forall @t48 (tptp.sort @t47 (tptp.elts @t1 @t13)))) % 45.80/46.24 (assume @p18 @t52) % 45.80/46.24 (assume @p19 (forall @t54 (= @t53 (tptp.mk_array @t1 (tptp.length @t1 @t53) (tptp.elts @t1 @t53))))) % 45.80/46.24 (assume @p20 (forall (@list @t1 @t13 @t55) (tptp.sort @t1 (tptp.get1 @t1 @t13 @t55)))) % 45.80/46.24 (assume @p21 (forall @t56 (tptp.sort tptp.int (tptp.t2tb @t12)))) % 45.80/46.24 (assume @p22 @t62) % 45.80/46.24 (assume @p23 @t66) % 45.80/46.24 (assume @p24 (forall (@list @t1 @t18 @t57) (= (tptp.get1 @t1 @t18 @t57) (tptp.get @t1 tptp.int @t67 @t58)))) % 45.80/46.24 (assume @p25 (forall (@list @t1 @t13 @t55 @t2) (tptp.sort @t38 (tptp.set1 @t1 @t13 @t55 @t2)))) % 45.80/46.24 (assume @p26 (forall (@list @t1 @t18 @t57 @t68) (= (tptp.set1 @t1 @t18 @t57 @t68) (tptp.mk_array @t1 (tptp.length @t1 @t18) (tptp.set @t1 tptp.int @t67 @t58 @t68))))) % 45.80/46.24 (assume @p27 (forall @t39 (tptp.sort @t38 (tptp.make @t1 @t12 @t3)))) % 45.80/46.24 (assume @p28 (forall (@list @t1 @t69 @t68) (= (tptp.make @t1 @t69 @t68) (tptp.mk_array @t1 @t69 (tptp.const @t1 tptp.int @t68))))) % 45.80/46.24 (assume @p29 (forall @t48 (tptp.sort @t70 (tptp.mk_ref @t1 @t13)))) % 45.80/46.24 (assume @p30 (forall @t48 (tptp.sort @t1 (tptp.contents @t1 @t13)))) % 45.80/46.24 (assume @p31 (forall @t54 (=> (tptp.sort @t1 @t53) (= (tptp.contents @t1 (tptp.mk_ref @t1 @t53)) @t53)))) % 45.80/46.24 (assume @p32 (forall @t54 (=> (tptp.sort @t70 @t53) (= @t53 (tptp.mk_ref @t1 (tptp.contents @t1 @t53)))))) % 45.80/46.24 (assume @p33 (forall @t56 (= (tptp.prefix_tl @t12) (- (- @t12) 1)))) % 45.80/46.24 (assume @p34 (forall (@list @t71) (tptp.sort @t72 (tptp.t2tb1 @t71)))) % 45.80/46.24 (assume @p35 (forall (@list @t73) (= (tptp.tb2t1 (tptp.t2tb1 @t73)) @t73))) % 45.80/46.24 (assume @p36 @t75) % 45.80/46.24 (assume @p37 (forall (@list @t76 @t69) (= (tptp.pr @t76 @t69) (<= 0 (tptp.tb2t (tptp.get tptp.int tptp.int @t77 (tptp.t2tb @t69))))))) % 45.80/46.24 (assume @p38 (forall @t83 (=> (<= @t78 @t79) @t82))) % 45.80/46.24 (assume @p39 (forall @t83 (=> @t87 (=> (not @t86) (= @t81 @t85))))) % 45.80/46.24 (assume @p40 (forall @t83 (=> @t87 (=> @t86 (= @t81 (+ 1 @t85)))))) % 45.80/46.24 (assume @p41 (forall @t83 (=> @t87 (and (<= 0 @t81) (<= @t81 @t88))))) % 45.80/46.24 (assume @p42 (forall (@list @t80 @t79 @t78 @t89) (=> (and @t90 (<= @t78 @t89)) (= (tptp.num_of @t80 @t79 @t89) (+ @t81 (tptp.num_of @t80 @t78 @t89)))))) % 45.80/46.24 (assume @p43 (forall @t83 (=> @t87 (=> (not @t92) (= @t81 @t91))))) % 45.80/46.24 (assume @p44 (forall @t83 (=> @t87 (=> @t92 (= @t81 (+ 1 @t91)))))) % 45.80/46.24 (assume @p45 (forall @t83 (=> (forall @t95 (=> @t94 (not @t93))) @t82))) % 45.80/46.24 (assume @p46 (forall @t83 (=> @t90 (=> (forall @t95 (=> @t94 @t93)) (= @t81 @t88))))) % 45.80/46.24 (assume @p47 (forall (@list @t80 @t57 @t97 @t96) (=> (and @t100 @t99) (<= @t98 (tptp.num_of @t80 @t57 @t96))))) % 45.80/46.24 (assume @p48 (forall (@list @t80 @t57 @t97 @t96 @t101) (=> (and @t100 @t99 (< @t96 @t101)) (=> (tptp.pr @t80 @t96) (< @t98 (tptp.num_of @t80 @t57 @t101)))))) % 45.80/46.24 (assume @p49 (forall (@list @t104 @t102 @t79 @t78) (=> @t107 (<= @t105 @t103)))) % 45.80/46.24 (assume @p50 (forall (@list @t104 @t102 @t79 @t78 @t57) (=> (and (<= @t79 @t57) (< @t57 @t78)) (=> @t107 (=> (not (tptp.pr @t104 @t57)) (=> (tptp.pr @t102 @t57) (< @t105 @t103))))))) % 45.80/46.24 (assume @p51 (forall (@list @t109 @t101 @t108 @t57 @t110) (=> (and (<= @t101 @t57) (< @t57 @t108)) (=> (<= 0 (tptp.tb2t (tptp.get tptp.int tptp.int @t111 @t58))) (=> (< @t110 0) (< (tptp.num_of (tptp.tb2t1 (tptp.set tptp.int tptp.int @t111 @t58 (tptp.t2tb @t110))) @t101 @t108) (tptp.num_of @t109 @t101 @t108))))))) % 45.80/46.24 (assume @p52 (forall (@list @t112) (tptp.sort (tptp.array tptp.int) (tptp.t2tb2 @t112)))) % 45.80/46.24 (assume @p53 (forall (@list @t113) (= (tptp.tb2t2 (tptp.t2tb2 @t113)) @t113))) % 45.80/46.24 (assume @p54 @t115) % 45.80/46.24 (assume @p55 @t134) % 45.80/46.24 (assume @p56 (forall (@list @t116 @t135) (=> (= @t123 @t138) (=> @t132 (=> (forall @t61 (=> @t139 (and (<= 0 @t137) (< @t137 @t138)))) (=> (forall @t61 (=> @t139 (= (tptp.tb2t (tptp.get1 tptp.int @t117 @t137)) @t57))) (tptp.is_permutation @t135))))))) % 45.80/46.24 (assume @p57 (forall (@list @t144 @t116 @t143 @t146 @t69) (= (tptp.loopinvariant @t144 @t116 @t143 @t146 @t69) (and (forall @t149 (=> (and @t147 @t151) (and (<= (- @t69) @t141) (< @t141 @t69)))) (forall @t149 (=> @t152 @t150)) (forall @t149 (=> @t152 (= (tptp.tb2t (tptp.get1 tptp.int @t145 @t141)) @t140))) (forall @t149 (=> @t148 (=> @t150 (= (tptp.tb2t (tptp.get1 tptp.int @t145 @t140)) @t141)))) (forall @t149 (=> (and @t147 (<= @t140 @t143)) (<= @t141 @t143))) (forall @t149 (=> @t148 (=> (< @t141 0) (and (= (tptp.tb2t (tptp.get1 tptp.int @t145 @t142)) @t140) (=> (<= @t142 @t143) (< (tptp.tb2t (tptp.get1 tptp.int @t117 @t142)) 0)))))))))) % 45.80/46.24 (assume @p58 @t191) % 45.80/46.24 (assume @p59 true) % 45.80/46.24 (step @p60 :rule arith_poly_norm :args ((= (* 1 (- @t59 @t57)) (* -1 (- @t57 @t59))))) % 45.80/46.24 (step @p61 :rule arith_poly_norm_rel :premises (@p60) :args ((= @t60 @t192))) % 45.80/46.24 (step @p62 :rule cong :premises (@p61) :args (@t62)) % 45.80/46.24 (step @p63 :rule eq_resolve :premises (@p22 @p62)) % 45.80/46.24 (step @p64 :rule arith_poly_norm :args ((= (* -2 (- 2 @t193)) (* 2 (- @t193 2))))) % 45.80/46.24 (step @p65 :rule arith_poly_norm_rel :premises (@p64) :args ((= @t195 @t194))) % 45.80/46.24 (step @p66 :rule refl :args (@t196)) % 45.80/46.24 (step @p67 :rule cong :premises (@p66 @p65) :args ((=> @t196 @t195))) % 45.80/46.24 (assume-push @p2330 @t196) % 45.80/46.24 (step @p69 :rule instantiate :premises (@p63) :args (@t197)) % 45.80/46.24 (step-pop @p2331 :rule scope :premises (@p69)) % 45.80/46.24 (step @p70 :rule process_scope :premises (@p2331) :args (@t195)) % 45.80/46.24 (step @p72 :rule eq_resolve :premises (@p70 @p67)) % 45.80/46.24 (step @p73 :rule implies_elim :premises (@p72)) % 45.80/46.24 (step @p74 :rule chain_m_resolution :premises (@p73 @p63) :args (@t194 @t198 @t199)) % 45.80/46.24 (step @p75 :rule eq-symm :args (@t74 @t63)) % 45.80/46.24 (step @p76 :rule cong :premises (@p75) :args (@t75)) % 45.80/46.24 (step @p77 :rule eq_resolve :premises (@p36 @p76)) % 45.80/46.24 (step @p78 :rule instantiate :premises (@p77) :args ((@list @t179))) % 45.80/46.24 (step @p79 :rule instantiate :premises (@p77) :args ((@list @t201))) % 45.80/46.24 (step @p80 :rule instantiate :premises (@p77) :args ((@list @t203))) % 45.80/46.24 (step @p81 :rule eq-symm :args (@t114 @t63)) % 45.80/46.24 (step @p82 :rule cong :premises (@p81) :args (@t115)) % 45.80/46.24 (step @p83 :rule eq_resolve :premises (@p54 @p82)) % 45.80/46.24 (step @p84 :rule instantiate :premises (@p83) :args ((@list @t206))) % 45.80/46.24 (step @p85 :rule aci_norm :args ((= (or @t208 false @t207) (or @t208 @t207)))) % 45.80/46.24 (step @p86 :rule refl :args (@t207)) % 45.80/46.24 (step @p87 :rule evaluate :args ((not true))) % 45.80/46.24 (step @p88 :rule eq-refl :args (@t17)) % 45.80/46.24 (step @p89 :rule cong :premises (@p88) :args (@t209)) % 45.80/46.24 (step @p90 :rule trans :premises (@p89 @p87)) % 45.80/46.24 (step @p91 :rule refl :args (@t208)) % 45.80/46.24 (step @p92 :rule nary_cong :premises (@p91 @p90 @p86) :args (@t210)) % 45.80/46.24 (step @p93 :rule trans :premises (@p92 @p85)) % 45.80/46.24 (step @p94 :rule cong :premises (@p93) :args ((forall @t211 @t210))) % 45.80/46.24 (step @p95 :rule quant-var-elim-eq :args ((= (forall @t214 @t213) @t210))) % 45.80/46.24 (step @p96 :rule aci_norm :args ((= @t215 @t213))) % 45.80/46.24 (step @p97 :rule cong :premises (@p96) :args (@t216)) % 45.80/46.24 (step @p98 :rule trans :premises (@p97 @p95)) % 45.80/46.24 (step @p99 :rule cong :premises (@p98) :args (@t217)) % 45.80/46.24 (step @p100 :rule quant-merge-prenex :args ((= @t217 @t218))) % 45.80/46.24 (step @p101 :rule symm :premises (@p100)) % 45.80/46.24 (step @p102 :rule quant_var_reordering :args ((= (forall @t25 @t215) @t218))) % 45.80/46.24 (step @p103 :rule trans :premises (@p102 @p101 @p99)) % 45.80/46.24 (step @p104 :rule trans :premises (@p103 @p94)) % 45.80/46.24 (step @p105 :rule aci_norm :args ((= (or @t208 (or @t29 @t212)) @t215))) % 45.80/46.24 (step @p106 :rule bool-impl-elim :args (@t21 @t212)) % 45.80/46.24 (step @p107 :rule refl :args (@t208)) % 45.80/46.24 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or @t208 @t219))) % 45.80/46.24 (step @p109 :rule trans :premises (@p108 @p105)) % 45.80/46.24 (step @p110 :rule bool-impl-elim :args (@t23 @t219)) % 45.80/46.24 (step @p111 :rule trans :premises (@p110 @p109)) % 45.80/46.24 (step @p112 :rule cong :premises (@p111) :args ((forall @t25 (=> @t23 @t219)))) % 45.80/46.24 (step @p113 :rule trans :premises (@p112 @p104)) % 45.80/46.24 (step @p114 :rule eq-symm :args (@t20 @t16)) % 45.80/46.24 (step @p115 :rule refl :args (@t21)) % 45.80/46.24 (step @p116 :rule cong :premises (@p115 @p114) :args (@t22)) % 45.80/46.24 (step @p117 :rule refl :args (@t23)) % 45.80/46.24 (step @p118 :rule cong :premises (@p117 @p116) :args (@t24)) % 45.80/46.24 (step @p119 :rule cong :premises (@p118) :args (@t26)) % 45.80/46.24 (step @p120 :rule trans :premises (@p119 @p113)) % 45.80/46.24 (step @p121 :rule eq_resolve :premises (@p11 @p120)) % 45.80/46.24 (step @p122 :rule instantiate :premises (@p121) :args ((@list tptp.int tptp.int @t178 @t167 @t168))) % 45.80/46.24 (step @p123 :rule instantiate :premises (@p21) :args (@t197)) % 45.80/46.24 (step @p124 :rule cnf_or_pos :args (@t224)) % 45.80/46.24 (step @p125 :rule reordering :premises (@p124) :args ((or @t223 @t221 (not @t224)))) % 45.80/46.24 (step @p126 :rule chain_m_resolution :premises (@p125 @p123 @p122) :args (@t221 @t225 (@list @t222 @t224))) % 45.80/46.24 (step @p127 :rule bool-impl-elim :args (@t50 @t226)) % 45.80/46.24 (step @p128 :rule cong :premises (@p127) :args ((forall @t45 (=> @t50 @t226)))) % 45.80/46.24 (step @p129 :rule eq-symm :args (@t49 @t41)) % 45.80/46.24 (step @p130 :rule refl :args (@t50)) % 45.80/46.24 (step @p131 :rule cong :premises (@p130 @p129) 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45.80/46.25 (step-pop @p3142 :rule scope :premises (@p3141)) % 45.80/46.25 (step-pop @p3143 :rule scope :premises (@p3142)) % 45.80/46.25 (step @p1998 :rule process_scope :premises (@p3143) :args (@t480)) % 45.80/46.25 (step @p2002 :rule and_intro :premises (@p3130 @p3133 @p3132)) % 45.80/46.25 (step @p2003 :rule modus_ponens :premises (@p2002 @p1998)) % 45.80/46.25 (step @p2004 :rule and_intro :premises (@p3131 @p2003)) % 45.80/46.25 (step @p2005 :rule modus_ponens :premises (@p2004 @p1992)) % 45.80/46.25 (step-pop @p3144 :rule scope :premises (@p2005)) % 45.80/46.25 (step-pop @p3145 :rule scope :premises (@p3144)) % 45.80/46.25 (step-pop @p3146 :rule scope :premises (@p3145)) % 45.80/46.25 (step-pop @p3147 :rule scope :premises (@p3146)) % 45.80/46.25 (step @p2006 :rule process_scope :premises (@p3147) :args (@t427)) % 45.80/46.25 (step @p2011 :rule implies_elim :premises (@p2006)) % 45.80/46.25 (step @p2012 :rule cnf_and_neg :args (@t559)) % 45.80/46.25 (step @p2013 :rule resolution 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% 45.80/46.25 (assume-push @p3199 @t373) % 45.80/46.25 (assume-push @p3200 @t374) % 45.80/46.25 (assume-push @p3201 @t298) % 45.80/46.25 (assume-push @p3202 @t495) % 45.80/46.25 (assume-push @p3203 @t540) % 45.80/46.25 (assume-push @p3204 @t343) % 45.80/46.25 (assume-push @p3205 @t393) % 45.80/46.25 (assume-push @p3206 @t512) % 45.80/46.25 (assume-push @p3207 @t566) % 45.80/46.25 (step @p507 :rule arith-elim-lt :args (@t303 0)) % 45.80/46.25 (step @p508 :rule cong :premises (@p507) :args (@t385)) % 45.80/46.25 (step @p509 :rule trans :premises (@p508 @p506)) % 45.80/46.25 (assume-push @p3208 @t384) % 45.80/46.25 (step @p2027 :rule evaluate :args (@t561)) % 45.80/46.25 (step @p2123 :rule evaluate :args ((+ 0 -2))) % 45.80/46.25 (step @p2124 :rule evaluate :args (@t567)) % 45.80/46.25 (step @p514 :rule refl :args (0)) % 45.80/46.25 (step @p2125 :rule nary_cong :premises (@p514 @p2124) :args (@t568)) % 45.80/46.25 (step @p2126 :rule trans :premises (@p2125 @p2123)) % 45.80/46.25 (step @p517 :rule arith_poly_norm :args (@t390)) % 45.80/46.25 (step @p2127 :rule cong :premises (@p517 @p2126) :args (@t569)) % 45.80/46.25 (step @p2128 :rule trans :premises (@p2127 @p2027)) % 45.80/46.25 (step @p2129 :rule cong :premises (@p2128) :args ((not @t569))) % 45.80/46.25 (step @p2130 :rule trans :premises (@p2129 @p87)) % 45.80/46.25 (step @p2131 :rule arith-elim-lt :args (@t389 @t568)) % 45.80/46.25 (step @p2132 :rule trans :premises (@p2131 @p2130)) % 45.80/46.25 (step @p2133 :rule arith_mult_neg :args (-1 @t570)) % 45.80/46.25 (step @p2134 :rule symm :premises (@p3207)) % 45.80/46.25 (step @p526 :rule evaluate :args (@t392)) % 45.80/46.25 (step @p527 :rule true_elim :premises (@p526)) % 45.80/46.25 (step @p2135 :rule and_intro :premises (@p527 @p2134)) % 45.80/46.25 (step @p2136 :rule modus_ponens :premises (@p2135 @p2133)) % 45.80/46.25 (step @p2137 :rule arith_sum_ub :premises (@p3208 @p2136)) % 45.80/46.25 (step @p2138 false :rule eq_resolve :premises (@p2137 @p2132)) % 45.80/46.25 (step-pop @p3209 :rule scope :premises (@p2138)) % 45.80/46.25 (step @p2139 :rule process_scope :premises (@p3209) :args (false)) % 45.80/46.25 (step @p2141 :rule eq_resolve :premises (@p2139 @p509)) % 45.80/46.25 (step-pop @p3210 :rule scope :premises (@p2141)) % 45.80/46.25 (step @p2142 :rule process_scope :premises (@p3210) :args (@t315)) % 45.80/46.25 (assume-push @p3211 @t495) % 45.80/46.25 (assume-push @p3212 @t374) % 45.80/46.25 (assume-push @p3213 @t229) % 45.80/46.25 (assume-push @p3214 @t373) % 45.80/46.25 (assume-push @p3215 @t540) % 45.80/46.25 (assume-push @p3216 @t355) % 45.80/46.25 (assume-push @p3217 @t530) % 45.80/46.25 (assume-push @p3218 @t343) % 45.80/46.25 (assume-push @p3219 @t354) % 45.80/46.25 (assume-push @p3220 @t221) % 45.80/46.25 (assume-push @p3221 @t195) % 45.80/46.25 (step @p1226 :rule symm :premises (@p323)) % 45.80/46.25 (step @p1227 :rule refl :args (@t493)) % 45.80/46.25 (step @p746 :rule cong :premises (@p399 @p84) :args (@t228)) % 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@p1439 :rule process_scope :premises (@p3243) :args (@t530)) % 45.80/46.25 (step @p1443 :rule eq_resolve :premises (@p1439 @p1427)) % 45.80/46.25 (step-pop @p3244 :rule scope :premises (@p1443)) % 45.80/46.25 (step-pop @p3245 :rule scope :premises (@p3244)) % 45.80/46.25 (step-pop @p3246 :rule scope :premises (@p3245)) % 45.80/46.25 (step @p2184 :rule process_scope :premises (@p3246) :args (@t531)) % 45.80/46.25 (step @p2188 :rule and_intro :premises (@p322 @p3205 @p3206)) % 45.80/46.25 (step @p2189 :rule modus_ponens :premises (@p2188 @p2184)) % 45.80/46.25 (step @p2190 :rule modus_ponens :premises (@p2189 @p2173)) % 45.80/46.25 (step @p2191 :rule and_intro :premises (@p323 @p84 @p139 @p80 @p3203 @p79 @p2190 @p3204 @p78 @p126 @p69)) % 45.80/46.25 (step @p2192 :rule modus_ponens :premises (@p2191 @p2160)) % 45.80/46.25 (step @p2193 :rule modus_ponens :premises (@p2192 @p2142)) % 45.80/46.25 (step-pop @p3247 :rule scope :premises (@p2193)) % 45.80/46.25 (step-pop @p3248 :rule scope :premises (@p3247)) % 45.80/46.25 (step-pop @p3249 :rule scope :premises (@p3248)) % 45.80/46.25 (step-pop @p3250 :rule scope :premises (@p3249)) % 45.80/46.25 (step-pop @p3251 :rule scope :premises (@p3250)) % 45.80/46.25 (step-pop @p3252 :rule scope :premises (@p3251)) % 45.80/46.25 (step-pop @p3253 :rule scope :premises (@p3252)) % 45.80/46.25 (step-pop @p3254 :rule scope :premises (@p3253)) % 45.80/46.25 (step-pop @p3255 :rule scope :premises (@p3254)) % 45.80/46.25 (step-pop @p3256 :rule scope :premises (@p3255)) % 45.80/46.25 (step-pop @p3257 :rule scope :premises (@p3256)) % 45.80/46.25 (step-pop @p3258 :rule scope :premises (@p3257)) % 45.80/46.25 (step-pop @p3259 :rule scope :premises (@p3258)) % 45.80/46.25 (step @p2194 :rule process_scope :premises (@p3259) :args (@t315)) % 45.80/46.25 (step @p2208 :rule implies_elim :premises (@p2194)) % 45.80/46.25 (step @p2209 :rule cnf_and_neg :args (@t571)) % 45.80/46.25 (step @p2210 :rule resolution :premises (@p2209 @p2208) :args (true @t571)) % 45.80/46.25 (step @p2211 :rule eq_resolve :premises (@p2210 @p2107)) % 45.80/46.25 (step @p2212 :rule reordering :premises (@p2211) :args ((or @t363 @t398 @t565 @t361 @t360 @t396 @t395 @t319 @t315 @t496 @t545 @t378 @t476 @t511))) % 45.80/46.25 (step @p2213 :rule arith_poly_norm :args ((= (* -2 (- 2 @t303)) (* 2 (- @t303 2))))) % 45.80/46.25 (step @p2214 :rule arith_poly_norm_rel :premises (@p2213) :args ((= @t566 @t570))) % 45.80/46.25 (step @p2215 :rule cong :premises (@p2214) :args (@t572)) % 45.80/46.25 (step @p2216 :rule nary_cong :premises (@p2215 @p581 @p578) :args ((or @t572 @t404 @t314))) % 45.80/46.25 (step @p2217 :rule symm :premises (@p2216)) % 45.80/46.25 (step @p2218 :rule nary_cong :premises (@p2215 @p581 @p587) :args ((or @t572 @t404 @t407))) % 45.80/46.25 (step @p2219 :rule trans :premises (@p2218 @p2217)) % 45.80/46.25 (assume-push @p3260 @t566) % 45.80/46.25 (assume-push @p3261 @t403) % 45.80/46.25 (assume-push @p3262 @t406) % 45.80/46.25 (step @p2223 :rule evaluate :args ((>= 0 0))) % 45.80/46.25 (step @p2224 :rule evaluate :args ((+ 1 2 -3))) % 45.80/46.25 (step @p594 :rule evaluate :args (@t408)) % 45.80/46.25 (step @p2225 :rule refl :args (2)) % 45.80/46.25 (step @p595 :rule refl :args (1)) % 45.80/46.25 (step @p2226 :rule nary_cong :premises (@p595 @p2225 @p594) :args (@t573)) % 45.80/46.25 (step @p2227 :rule trans :premises (@p2226 @p2224)) % 45.80/46.25 (step @p598 :rule arith_poly_norm :args (@t411)) % 45.80/46.25 (step @p599 :rule arith_poly_norm :args (@t413)) % 45.80/46.25 (step @p600 :rule trans :premises (@p599 @p598)) % 45.80/46.25 (step @p2228 :rule cong :premises (@p600 @p2227) :args (@t574)) % 45.80/46.25 (step @p2229 :rule trans :premises (@p2228 @p2223)) % 45.80/46.25 (step @p2230 :rule cong :premises (@p2229) :args ((not @t574))) % 45.80/46.25 (step @p2231 :rule trans :premises (@p2230 @p87)) % 45.80/46.25 (step @p2232 :rule arith-elim-lt :args (@t412 @t573)) % 45.80/46.25 (step @p2233 :rule trans :premises (@p2232 @p2231)) % 45.80/46.25 (step @p607 :rule arith_mult_neg :args (-1 @t402)) % 45.80/46.25 (step @p526 :rule evaluate :args (@t392)) % 45.80/46.25 (step @p527 :rule true_elim :premises (@p526)) % 45.80/46.25 (step @p608 :rule and_intro :premises (@p527 @p577)) % 45.80/46.25 (step @p609 :rule modus_ponens :premises (@p608 @p607)) % 45.80/46.25 (step @p2234 :rule symm :premises (@p3260)) % 45.80/46.25 (step @p611 :rule arith-elim-lt :args (@t313 1)) % 45.80/46.25 (step @p612 :rule symm :premises (@p611)) % 45.80/46.25 (step @p2235 :rule eq_resolve :premises (@p3262 @p612)) % 45.80/46.25 (step @p2236 :rule arith_sum_ub :premises (@p2235 @p2234 @p609)) % 45.80/46.25 (step @p2237 false :rule eq_resolve :premises (@p2236 @p2233)) % 45.80/46.25 (step-pop @p3263 :rule scope :premises (@p2237)) % 45.80/46.25 (step-pop @p3264 :rule scope :premises (@p3263)) % 45.80/46.25 (step-pop @p3265 :rule scope :premises (@p3264)) % 45.80/46.25 (step @p2238 :rule process_scope :premises (@p3265) :args (false)) % 45.80/46.25 (step @p2242 :rule not_and :premises (@p2238)) % 45.80/46.25 (step @p2243 :rule eq_resolve :premises (@p2242 @p2219)) % 45.80/46.25 (step @p2244 :rule eq_resolve :premises (@p2243 @p2216)) % 45.80/46.25 (step @p2245 :rule reordering :premises (@p2244) :args ((or @t314 @t415 @t575))) % 45.80/46.25 (step @p2246 :rule chain_m_resolution :premises (@p626 @p2016 @p625 @p2245 @p577 @p2212 @p2104 @p2102 @p1153 @p428 @p323 @p322 @p139 @p126 @p84 @p80 @p79 @p78 @p74) :args (@t575 (@list false true false false false false true true false false false false false false false false false false) (@list @t311 @t316 @t314 @t402 @t315 @t540 @t511 @t378 @t343 @t495 @t298 @t229 @t221 @t374 @t373 @t355 @t354 @t194))) % 45.80/46.25 (step @p2247 :rule refl :args (@t570)) % 45.80/46.25 (step @p2248 :rule nary_cong :premises (@p962 @p960 @p2106 @p958 @p957 @p956 @p833 @p1394 @p1156 @p1493 @p948 @p1392 @p1391 @p2247) :args ((or @t363 @t398 @t565 @t361 @t360 @t396 @t395 @t319 @t496 @t545 @t476 @t529 @t528 @t570))) % 45.80/46.25 (assume-push @p3266 @t221) % 45.80/46.25 (assume-push @p3267 @t229) % 45.80/46.25 (assume-push @p3268 @t194) % 45.80/46.25 (assume-push @p3269 @t354) % 45.80/46.25 (assume-push @p3270 @t355) % 45.80/46.25 (assume-push @p3271 @t373) % 45.80/46.25 (assume-push @p3272 @t374) % 45.80/46.25 (assume-push @p3273 @t298) % 45.80/46.25 (assume-push @p3274 @t495) % 45.80/46.25 (assume-push @p3275 @t540) % 45.80/46.25 (assume-push @p3276 @t343) % 45.80/46.25 (assume-push @p3277 @t393) % 45.80/46.25 (assume-push @p3278 @t512) % 45.80/46.25 (assume-push @p3279 @t566) % 45.80/46.25 (step @p2263 :rule symm :premises (@p3279)) % 45.80/46.25 (step-pop @p3280 :rule scope :premises (@p2263)) % 45.80/46.25 (step @p2264 :rule process_scope :premises (@p3280) :args (@t570)) % 45.80/46.25 (assume-push @p3281 @t495) % 45.80/46.25 (assume-push @p3282 @t374) % 45.80/46.25 (assume-push @p3283 @t229) % 45.80/46.25 (assume-push @p3284 @t373) % 45.80/46.25 (assume-push @p3285 @t540) % 45.80/46.25 (assume-push @p3286 @t355) % 45.80/46.25 (assume-push @p3287 @t530) % 45.80/46.25 (assume-push @p3288 @t343) % 45.80/46.25 (assume-push @p3289 @t354) % 45.80/46.25 (assume-push @p3290 @t221) % 45.80/46.25 (assume-push @p3291 @t195) % 45.80/46.25 (step @p1226 :rule symm :premises (@p323)) % 45.80/46.25 (step @p1227 :rule refl :args (@t493)) % 45.80/46.25 (step @p746 :rule cong :premises (@p399 @p84) :args (@t228)) % 45.80/46.25 (step @p747 :rule trans :premises (@p80 @p139 @p746)) % 45.80/46.25 (step @p1228 :rule cong :premises (@p399 @p399 @p747 @p1227) :args (@t507)) % 45.80/46.25 (step @p1722 :rule cong :premises (@p399 @p399 @p79 @p1227) :args (@t549)) % 45.80/46.25 (step @p2155 :rule cong :premises (@p3287) :args (@t167)) % 45.80/46.25 (step @p398 :rule symm :premises (@p79)) % 45.80/46.25 (step @p2156 :rule cong :premises (@p399 @p399 @p398 @p2155) :args (@t356)) % 45.80/46.25 (step @p397 :rule refl :args (@t167)) % 45.80/46.25 (step @p1725 :rule cong :premises (@p399 @p399 @p79 @p397) :args (@t341)) % 45.80/46.25 (step @p1726 :rule cong :premises (@p399 @p399 @p78 @p397) :args (@t220)) % 45.80/46.25 (step @p2157 :rule trans :premises (@p126 @p1726 @p3276 @p1725 @p2156 @p1722 @p3275 @p1228 @p1226)) % 45.80/46.25 (step @p2158 :rule cong :premises (@p2157) :args (@t193)) % 45.80/46.25 (step @p69 :rule instantiate :premises (@p63) :args (@t197)) % 45.80/46.25 (step @p2159 :rule trans :premises (@p69 @p2158)) % 45.80/46.25 (step-pop @p3292 :rule scope :premises (@p2159)) % 45.80/46.25 (step-pop @p3293 :rule scope :premises (@p3292)) % 45.80/46.25 (step-pop @p3294 :rule scope :premises (@p3293)) % 45.80/46.25 (step-pop @p3295 :rule scope :premises (@p3294)) % 45.80/46.25 (step-pop @p3296 :rule scope :premises (@p3295)) % 45.80/46.25 (step-pop @p3297 :rule scope :premises (@p3296)) % 45.80/46.25 (step-pop @p3298 :rule scope :premises (@p3297)) % 45.80/46.25 (step-pop @p3299 :rule scope :premises (@p3298)) % 45.80/46.25 (step-pop @p3300 :rule scope :premises (@p3299)) % 45.80/46.25 (step-pop @p3301 :rule scope :premises (@p3300)) % 45.80/46.25 (step-pop @p3302 :rule scope :premises (@p3301)) % 45.80/46.25 (step @p2277 :rule process_scope :premises (@p3302) :args (@t566)) % 45.80/46.25 (step @p69 :rule instantiate :premises (@p63) :args (@t197)) % 45.80/46.25 (assume-push @p3303 @t531) % 45.80/46.25 (step @p1409 :rule symm :premises (@p3303)) % 45.80/46.25 (step-pop @p3304 :rule scope :premises (@p1409)) % 45.80/46.25 (step @p2290 :rule process_scope :premises (@p3304) :args (@t530)) % 45.80/46.25 (assume-push @p3305 @t298) % 45.80/46.25 (assume-push @p3306 @t393) % 45.80/46.25 (assume-push @p3307 @t512) % 45.80/46.25 (step @p1415 :rule bool-impl-true2 :args (@t531)) % 45.80/46.25 (step @p1416 :rule arith_poly_norm :args (@t532)) % 45.80/46.25 (step @p1417 :rule arith_poly_norm_rel :premises (@p1416) :args (@t533)) % 45.80/46.25 (step @p1418 :rule evaluate :args (@t534)) % 45.80/46.25 (step @p1419 :rule cong :premises (@p1418 @p1417) :args (@t535)) % 45.80/46.25 (step @p1420 :rule trans :premises (@p1419 @p1415)) % 45.80/46.25 (step @p1421 :rule refl :args (@t530)) % 45.80/46.25 (step @p1422 :rule true_intro :premises (@p3278)) % 45.80/46.25 (step @p1423 :rule true_intro :premises (@p3277)) % 45.80/46.25 (step @p1424 :rule true_intro :premises (@p322)) % 45.80/46.25 (step @p1425 :rule nary_cong :premises (@p1424 @p1423 @p1422) :args (@t536)) % 45.80/46.25 (step @p1426 :rule cong :premises (@p1425 @p1421) :args (@t537)) % 45.80/46.25 (step @p1427 :rule trans :premises (@p1426 @p1420)) % 45.80/46.25 (assume-push @p3308 @t298) % 45.80/46.25 (assume-push @p3309 @t393) % 45.80/46.25 (assume-push @p3310 @t512) % 45.80/46.25 (step @p1431 :rule arith-elim-lt :args (@t297 2)) % 45.80/46.25 (step @p1432 :rule symm :premises (@p1431)) % 45.80/46.25 (step @p1433 :rule eq_resolve :premises (@p3278 @p1432)) % 45.80/46.25 (step @p1434 :rule int_tight_ub :premises (@p1433)) % 45.80/46.25 (step @p1435 :rule arith_trichotomy :premises (@p3277 @p1434)) % 45.80/46.25 (step @p1436 :rule int_tight_ub :premises (@p1435)) % 45.80/46.25 (step @p1437 :rule arith_trichotomy :premises (@p322 @p1436)) % 45.80/46.25 (step @p1438 :rule symm :premises (@p1437)) % 45.80/46.25 (step-pop @p3311 :rule scope :premises (@p1438)) % 45.80/46.25 (step-pop @p3312 :rule scope :premises (@p3311)) % 45.80/46.25 (step-pop @p3313 :rule scope :premises (@p3312)) % 45.80/46.25 (step @p1439 :rule process_scope :premises (@p3313) :args (@t530)) % 45.80/46.25 (step @p1443 :rule eq_resolve :premises (@p1439 @p1427)) % 45.80/46.25 (step-pop @p3314 :rule scope :premises (@p1443)) % 45.80/46.25 (step-pop @p3315 :rule scope :premises (@p3314)) % 45.80/46.25 (step-pop @p3316 :rule scope :premises (@p3315)) % 45.80/46.25 (step @p2301 :rule process_scope :premises (@p3316) :args (@t531)) % 45.80/46.25 (step @p2305 :rule and_intro :premises (@p322 @p3277 @p3278)) % 45.80/46.25 (step @p2306 :rule modus_ponens :premises (@p2305 @p2301)) % 45.80/46.25 (step @p2307 :rule modus_ponens :premises (@p2306 @p2290)) % 45.80/46.25 (step @p2308 :rule and_intro :premises (@p323 @p84 @p139 @p80 @p3275 @p79 @p2307 @p3276 @p78 @p126 @p69)) % 45.80/46.25 (step @p2309 :rule modus_ponens :premises (@p2308 @p2277)) % 45.80/46.25 (step @p2310 :rule modus_ponens :premises (@p2309 @p2264)) % 45.80/46.25 (step-pop @p3317 :rule scope :premises (@p2310)) % 45.80/46.25 (step-pop @p3318 :rule scope :premises (@p3317)) % 45.80/46.25 (step-pop @p3319 :rule scope :premises (@p3318)) % 45.80/46.25 (step-pop @p3320 :rule scope :premises (@p3319)) % 45.80/46.25 (step-pop @p3321 :rule scope :premises (@p3320)) % 45.80/46.25 (step-pop @p3322 :rule scope :premises (@p3321)) % 45.80/46.25 (step-pop @p3323 :rule scope :premises (@p3322)) % 45.80/46.25 (step-pop @p3324 :rule scope :premises (@p3323)) % 45.80/46.25 (step-pop @p3325 :rule scope :premises (@p3324)) % 45.80/46.25 (step-pop @p3326 :rule scope :premises (@p3325)) % 45.80/46.25 (step-pop @p3327 :rule scope :premises (@p3326)) % 45.80/46.25 (step-pop @p3328 :rule scope :premises (@p3327)) % 45.80/46.25 (step-pop @p3329 :rule scope :premises (@p3328)) % 45.80/46.25 (step @p2311 :rule process_scope :premises (@p3329) :args (@t570)) % 45.80/46.25 (step @p2325 :rule implies_elim :premises (@p2311)) % 45.80/46.25 (step @p2326 :rule resolution :premises (@p2209 @p2325) :args (true @t571)) % 45.80/46.25 (step @p2327 :rule eq_resolve :premises (@p2326 @p2248)) % 45.80/46.25 (step @p2328 :rule reordering :premises (@p2327) :args ((or @t363 @t398 @t565 @t361 @t360 @t396 @t395 @t319 @t496 @t545 @t378 @t476 @t511 @t570))) % 45.80/46.25 (step @p2329 false :rule chain_m_resolution :premises (@p2328 @p2104 @p2246 @p2102 @p1153 @p428 @p323 @p322 @p139 @p126 @p84 @p80 @p79 @p78 @p74) :args (false (@list false true true true false false false false false false false false false false) (@list @t540 @t570 @t511 @t378 @t343 @t495 @t298 @t229 @t221 @t374 @t373 @t355 @t354 @t194))) % 45.80/46.25 ) % 45.80/46.25 % SZS output end Proof % 45.80/46.25 % cvc5 exiting %------------------------------------------------------------------------------