%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW631_2 : TPTP v9.2.1. Released v6.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.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 09:05:22 AM UTC 2026 % Result : Theorem 45.81s 46.59s % Output : Proof 45.81s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWW631_2 : TPTP v9.2.1. Released v6.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.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 22:20:03 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_ARI % 45.81/46.59 --- Run --finite-model-find --decision=internal at 45... % 45.81/46.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 45.81/46.59 % SZS status Theorem % 45.81/46.59 % SZS output start Proof % 45.81/46.59 ( % 45.81/46.59 (declare-sort tptp.map_int_int 0) % 45.81/46.59 (declare-sort tptp.tuple0 0) % 45.81/46.59 (declare-sort tptp.bool 0) % 45.81/46.59 (declare-sort tptp.ty 0) % 45.81/46.59 (declare-sort tptp.uni 0) % 45.81/46.59 (declare-const tptp.distance (-> Int Int Bool)) % 45.81/46.59 (declare-const tptp.tb2t1 (-> tptp.uni tptp.map_int_int)) % 45.81/46.59 (declare-const tptp.path (-> Int Int Bool)) % 45.81/46.59 (declare-const tptp.n Int) % 45.81/46.59 (declare-const tptp.make (-> tptp.ty Int tptp.uni tptp.uni)) % 45.81/46.59 (declare-const tptp.t2tb1 (-> tptp.map_int_int tptp.uni)) % 45.81/46.59 (declare-const tptp.t2tb (-> Int tptp.uni)) % 45.81/46.59 (declare-const tptp.get1 (-> tptp.ty tptp.uni Int tptp.uni)) % 45.81/46.59 (declare-const tptp.array (-> tptp.ty tptp.ty)) % 45.81/46.59 (declare-const tptp.mk_array (-> tptp.ty Int tptp.uni tptp.uni)) % 45.81/46.59 (declare-const tptp.tb2t (-> tptp.uni Int)) % 45.81/46.59 (declare-const tptp.elts (-> tptp.ty tptp.uni tptp.uni)) % 45.81/46.59 (declare-const tptp.tuple02 tptp.tuple0) % 45.81/46.59 (declare-const tptp.length (-> tptp.ty tptp.uni Int)) % 45.81/46.59 (declare-const tptp.mk_ref (-> tptp.ty tptp.uni tptp.uni)) % 45.81/46.59 (declare-const tptp.f (-> Int Int)) % 45.81/46.59 (declare-const tptp.sort (-> tptp.ty tptp.uni Bool)) % 45.81/46.59 (declare-const tptp.map (-> tptp.ty tptp.ty tptp.ty)) % 45.81/46.59 (declare-const tptp.true tptp.bool) % 45.81/46.59 (declare-const tptp.false tptp.bool) % 45.81/46.59 (declare-const tptp.ref (-> tptp.ty tptp.ty)) % 45.81/46.59 (declare-const tptp.contents (-> tptp.ty tptp.uni tptp.uni)) % 45.81/46.59 (declare-const tptp.set1 (-> tptp.ty tptp.uni Int tptp.uni tptp.uni)) % 45.81/46.59 (declare-const tptp.int tptp.ty) % 45.81/46.59 (declare-const tptp.witness (-> tptp.ty tptp.uni)) % 45.81/46.59 (declare-const tptp.get (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni)) % 45.81/46.59 (declare-const tptp.const (-> tptp.ty tptp.ty tptp.uni tptp.uni)) % 45.81/46.59 (declare-const tptp.match_bool (-> tptp.ty tptp.bool tptp.uni tptp.uni tptp.uni)) % 45.81/46.59 (declare-const tptp.set (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 45.81/46.59 (define @t1 () (@var "A" tptp.ty)) % 45.81/46.59 (define @t2 () (@var "X2" tptp.uni)) % 45.81/46.59 (define @t3 () (@var "X1" tptp.uni)) % 45.81/46.59 (define @t4 () (@var "X" tptp.bool)) % 45.81/46.59 (define @t5 () (@var "Z" tptp.uni)) % 45.81/46.59 (define @t6 () (@var "Z1" tptp.uni)) % 45.81/46.59 (define @t7 () (@list @t1 @t5 @t6)) % 45.81/46.59 (define @t8 () (@var "U" tptp.bool)) % 45.81/46.59 (define @t9 () (@var "U" tptp.tuple0)) % 45.81/46.59 (define @t10 () (@var "Z" Int)) % 45.81/46.59 (define @t11 () (@var "Y" Int)) % 45.81/46.59 (define @t12 () (@var "X" Int)) % 45.81/46.59 (define @t13 () (@var "X" tptp.uni)) % 45.81/46.59 (define @t14 () (tptp.ref @t1)) % 45.81/46.59 (define @t15 () (@list @t1 @t13)) % 45.81/46.59 (define @t16 () (@var "U" tptp.uni)) % 45.81/46.59 (define @t17 () (@list @t1 @t16)) % 45.81/46.59 (define @t18 () (@var "B" tptp.ty)) % 45.81/46.59 (define @t19 () (tptp.map @t1 @t18)) % 45.81/46.59 (define @t20 () (@var "B1" tptp.uni)) % 45.81/46.59 (define @t21 () (@var "A2" tptp.uni)) % 45.81/46.59 (define @t22 () (@var "A1" tptp.uni)) % 45.81/46.59 (define @t23 () (@var "M" tptp.uni)) % 45.81/46.59 (define @t24 () (tptp.get @t18 @t1 (tptp.set @t18 @t1 @t23 @t22 @t20) @t21)) % 45.81/46.59 (define @t25 () (= @t22 @t21)) % 45.81/46.59 (define @t26 () (tptp.sort @t18 @t20)) % 45.81/46.59 (define @t27 () (tptp.array @t1)) % 45.81/46.59 (define @t28 () (@list @t1 @t12 @t3)) % 45.81/46.59 (define @t29 () (@var "U" Int)) % 45.81/46.59 (define @t30 () (@var "U1" tptp.uni)) % 45.81/46.59 (define @t31 () (tptp.mk_array @t1 @t29 @t30)) % 45.81/46.59 (define @t32 () (@list @t1 @t29 @t30)) % 45.81/46.59 (define @t33 () (tptp.map tptp.int @t1)) % 45.81/46.59 (define @t34 () (@var "X1" Int)) % 45.81/46.59 (define @t35 () (@var "I" Int)) % 45.81/46.59 (define @t36 () (tptp.t2tb @t35)) % 45.81/46.59 (define @t37 () (@list @t35)) % 45.81/46.59 (define @t38 () (@var "J" tptp.uni)) % 45.81/46.59 (define @t39 () (tptp.t2tb (tptp.tb2t @t38))) % 45.81/46.59 (define @t40 () (@list @t38)) % 45.81/46.59 (define @t41 () (forall @t40 (= @t39 @t38))) % 45.81/46.59 (define @t42 () (tptp.elts @t1 @t22)) % 45.81/46.59 (define @t43 () (@var "V" tptp.uni)) % 45.81/46.59 (define @t44 () (@var "N" Int)) % 45.81/46.59 (define @t45 () (< 0 tptp.n)) % 45.81/46.59 (define @t46 () (@var "K" Int)) % 45.81/46.59 (define @t47 () (tptp.f @t46)) % 45.81/46.59 (define @t48 () (and (<= 0 @t47) (< @t47 @t46))) % 45.81/46.59 (define @t49 () (< 0 @t46)) % 45.81/46.59 (define @t50 () (and @t49 (< @t46 tptp.n))) % 45.81/46.59 (define @t51 () (=> @t50 @t48)) % 45.81/46.59 (define @t52 () (@list @t46)) % 45.81/46.59 (define @t53 () (forall @t52 @t51)) % 45.81/46.59 (define @t54 () (@var "D" Int)) % 45.81/46.59 (define @t55 () (+ @t54 1)) % 45.81/46.59 (define @t56 () (@var "J" Int)) % 45.81/46.59 (define @t57 () (< @t56 @t35)) % 45.81/46.59 (define @t58 () (tptp.f @t35)) % 45.81/46.59 (define @t59 () (<= @t58 @t56)) % 45.81/46.59 (define @t60 () (tptp.path @t54 @t56)) % 45.81/46.59 (define @t61 () (@list @t54 @t56)) % 45.81/46.59 (define @t62 () (< @t35 tptp.n)) % 45.81/46.59 (define @t63 () (<= 0 @t35)) % 45.81/46.59 (define @t64 () (@var "Z1" Int)) % 45.81/46.59 (define @t65 () (@var "Dqt" Int)) % 45.81/46.59 (define @t66 () (@var "X" tptp.map_int_int)) % 45.81/46.59 (define @t67 () (@var "I" tptp.map_int_int)) % 45.81/46.59 (define @t68 () (tptp.t2tb @t46)) % 45.81/46.59 (define @t69 () (@var "D" tptp.map_int_int)) % 45.81/46.59 (define @t70 () (tptp.t2tb1 @t69)) % 45.81/46.59 (define @t71 () (tptp.tb2t (tptp.get tptp.int tptp.int @t70 @t68))) % 45.81/46.59 (define @t72 () (@var "J1" Int)) % 45.81/46.59 (define @t73 () (tptp.tb2t (tptp.get tptp.int tptp.int @t70 (tptp.t2tb @t72)))) % 45.81/46.59 (define @t74 () (< @t46 @t35)) % 45.81/46.59 (define @t75 () (and (< @t72 @t46) @t74)) % 45.81/46.59 (define @t76 () (=> @t75 (< @t73 @t71))) % 45.81/46.59 (define @t77 () (forall @t52 @t76)) % 45.81/46.59 (define @t78 () (tptp.t2tb @t56)) % 45.81/46.59 (define @t79 () (@var "G1" tptp.map_int_int)) % 45.81/46.59 (define @t80 () (tptp.t2tb1 @t79)) % 45.81/46.59 (define @t81 () (tptp.tb2t (tptp.get tptp.int tptp.int @t80 @t78))) % 45.81/46.59 (define @t82 () (= @t72 @t81)) % 45.81/46.59 (define @t83 () (=> @t82 @t77)) % 45.81/46.59 (define @t84 () (@list @t72)) % 45.81/46.59 (define @t85 () (forall @t84 @t83)) % 45.81/46.59 (define @t86 () (< @t56 tptp.n)) % 45.81/46.59 (define @t87 () (<= 0 @t56)) % 45.81/46.59 (define @t88 () (and @t87 @t86)) % 45.81/46.59 (define @t89 () (=> @t88 @t85)) % 45.81/46.59 (define @t90 () (@var "Count1" Int)) % 45.81/46.59 (define @t91 () (+ @t90 1)) % 45.81/46.59 (define @t92 () (@var "Count2" Int)) % 45.81/46.59 (define @t93 () (= @t92 @t91)) % 45.81/46.59 (define @t94 () (=> @t93 @t89)) % 45.81/46.59 (define @t95 () (@list @t92)) % 45.81/46.59 (define @t96 () (forall @t95 @t94)) % 45.81/46.59 (define @t97 () (=> (<= @t58 @t81) @t96)) % 45.81/46.59 (define @t98 () (<= 0 tptp.n)) % 45.81/46.59 (define @t99 () (and @t98 @t87 @t86)) % 45.81/46.59 (define @t100 () (=> @t99 @t97)) % 45.81/46.59 (define @t101 () (tptp.tb2t (tptp.get tptp.int tptp.int @t70 @t78))) % 45.81/46.59 (define @t102 () (and (< @t56 @t46) @t74)) % 45.81/46.59 (define @t103 () (=> @t102 (< @t101 @t71))) % 45.81/46.59 (define @t104 () (forall @t52 @t103)) % 45.81/46.59 (define @t105 () (- @t35 1)) % 45.81/46.59 (define @t106 () (+ @t90 @t101)) % 45.81/46.59 (define @t107 () (<= @t106 @t105)) % 45.81/46.59 (define @t108 () (and @t59 @t57 @t107 @t104)) % 45.81/46.59 (define @t109 () (=> @t108 @t100)) % 45.81/46.59 (define @t110 () (@list @t56 @t90)) % 45.81/46.59 (define @t111 () (forall @t110 @t109)) % 45.81/46.59 (define @t112 () (tptp.path @t71 @t46)) % 45.81/46.59 (define @t113 () (and (<= 0 @t46) @t74)) % 45.81/46.59 (define @t114 () (=> @t113 @t112)) % 45.81/46.59 (define @t115 () (forall @t52 @t114)) % 45.81/46.59 (define @t116 () (@var "Kqt" Int)) % 45.81/46.59 (define @t117 () (tptp.tb2t (tptp.get tptp.int tptp.int @t70 (tptp.t2tb @t116)))) % 45.81/46.59 (define @t118 () (tptp.get tptp.int tptp.int @t80 @t68)) % 45.81/46.59 (define @t119 () (tptp.tb2t (tptp.get tptp.int tptp.int @t70 @t118))) % 45.81/46.59 (define @t120 () (tptp.tb2t @t118)) % 45.81/46.59 (define @t121 () (and (< @t120 @t116) (< @t116 @t46))) % 45.81/46.59 (define @t122 () (=> @t121 (< @t119 @t117))) % 45.81/46.59 (define @t123 () (@list @t116)) % 45.81/46.59 (define @t124 () (forall @t123 @t122)) % 45.81/46.59 (define @t125 () (+ @t119 1)) % 45.81/46.59 (define @t126 () (= @t71 @t125)) % 45.81/46.59 (define @t127 () (tptp.tb2t (tptp.get tptp.int tptp.int @t80 @t118))) % 45.81/46.59 (define @t128 () (and (< @t127 @t47) (<= @t47 @t120) (< @t120 @t46) (< 0 @t71) @t126 @t124)) % 45.81/46.59 (define @t129 () (and @t49 @t74)) % 45.81/46.59 (define @t130 () (=> @t129 @t128)) % 45.81/46.59 (define @t131 () (forall @t52 @t130)) % 45.81/46.59 (define @t132 () (tptp.t2tb @t105)) % 45.81/46.59 (define @t133 () (tptp.get tptp.int tptp.int @t70 @t132)) % 45.81/46.59 (define @t134 () (tptp.tb2t @t133)) % 45.81/46.59 (define @t135 () (@var "Count" Int)) % 45.81/46.59 (define @t136 () (+ @t135 @t134)) % 45.81/46.59 (define @t137 () (<= @t136 @t105)) % 45.81/46.59 (define @t138 () (- 1)) % 45.81/46.59 (define @t139 () (tptp.t2tb 0)) % 45.81/46.59 (define @t140 () (tptp.tb2t (tptp.get tptp.int tptp.int @t80 @t139))) % 45.81/46.59 (define @t141 () (= @t140 @t138)) % 45.81/46.59 (define @t142 () (= (tptp.tb2t (tptp.get tptp.int tptp.int @t70 @t139)) 0)) % 45.81/46.59 (define @t143 () (and @t142 @t141 @t137 @t131 @t115)) % 45.81/46.59 (define @t144 () (=> @t143 @t111)) % 45.81/46.59 (define @t145 () (- tptp.n 1)) % 45.81/46.59 (define @t146 () (<= @t35 @t145)) % 45.81/46.59 (define @t147 () (and (<= 1 @t35) @t146)) % 45.81/46.59 (define @t148 () (=> @t147 @t144)) % 45.81/46.59 (define @t149 () (@list @t135 @t69 @t79 @t35)) % 45.81/46.59 (define @t150 () (forall @t149 @t148)) % 45.81/46.59 (define @t151 () (<= 1 @t145)) % 45.81/46.59 (define @t152 () (=> @t151 @t150)) % 45.81/46.59 (define @t153 () (=> @t98 @t152)) % 45.81/46.59 (define @t154 () (=> @t98 @t153)) % 45.81/46.59 (define @t155 () (tptp.t2tb @t138)) % 45.81/46.59 (define @t156 () (tptp.const tptp.int tptp.int @t139)) % 45.81/46.59 (define @t157 () (tptp.set tptp.int tptp.int @t156 @t139 @t155)) % 45.81/46.59 (define @t158 () (tptp.tb2t1 @t157)) % 45.81/46.59 (define @t159 () (@var "G" tptp.map_int_int)) % 45.81/46.59 (define @t160 () (= @t159 @t158)) % 45.81/46.59 (define @t161 () (and @t98 @t160)) % 45.81/46.59 (define @t162 () (=> @t161 @t154)) % 45.81/46.59 (define @t163 () (@list @t159)) % 45.81/46.59 (define @t164 () (forall @t163 @t162)) % 45.81/46.59 (define @t165 () (<= 0 0)) % 45.81/46.59 (define @t166 () (and @t165 @t45)) % 45.81/46.59 (define @t167 () (=> @t166 @t164)) % 45.81/46.59 (define @t168 () (=> @t98 @t167)) % 45.81/46.59 (define @t169 () (=> @t98 @t168)) % 45.81/46.59 (define @t170 () (not @t169)) % 45.81/46.59 (define @t171 () (@var "BOUND_VARIABLE_8546" Int)) % 45.81/46.59 (define @t172 () (@var "BOUND_VARIABLE_8544" Int)) % 45.81/46.59 (define @t173 () (tptp.t2tb @t172)) % 45.81/46.59 (define @t174 () (tptp.tb2t (tptp.get tptp.int tptp.int @t80 @t173))) % 45.81/46.59 (define @t175 () (not (>= (+ (tptp.tb2t (tptp.get tptp.int tptp.int @t70 (tptp.t2tb @t174))) (* -1 (tptp.tb2t (tptp.get tptp.int tptp.int @t70 (tptp.t2tb @t171))))) 0))) % 45.81/46.59 (define @t176 () (not (>= (+ @t35 (* -1 @t171)) 1))) % 45.81/46.59 (define @t177 () (* -1 @t174)) % 45.81/46.59 (define @t178 () (not (>= (+ @t171 @t177) 1))) % 45.81/46.59 (define @t179 () (>= (+ @t58 @t177) 1)) % 45.81/46.59 (define @t180 () (* -1 @t172)) % 45.81/46.59 (define @t181 () (not (>= (+ tptp.n @t180) 1))) % 45.81/46.59 (define @t182 () (not (>= @t172 0))) % 45.81/46.59 (define @t183 () (* -1 @t46)) % 45.81/46.59 (define @t184 () (+ @t35 @t183)) % 45.81/46.59 (define @t185 () (>= @t184 1)) % 45.81/46.59 (define @t186 () (not @t185)) % 45.81/46.59 (define @t187 () (not (forall @t52 (or (not (>= (+ @t46 @t180) 1)) @t186 (>= (+ @t71 (* -1 (tptp.tb2t (tptp.get tptp.int tptp.int @t70 @t173)))) 1))))) % 45.81/46.59 (define @t188 () (not (>= (+ @t35 @t180) 1))) % 45.81/46.59 (define @t189 () (* -1 @t58)) % 45.81/46.59 (define @t190 () (not (>= (+ @t172 @t189) 0))) % 45.81/46.59 (define @t191 () (>= @t46 0)) % 45.81/46.59 (define @t192 () (not @t191)) % 45.81/46.59 (define @t193 () (or @t192 @t186 @t112)) % 45.81/46.59 (define @t194 () (forall @t52 @t193)) % 45.81/46.59 (define @t195 () (not @t194)) % 45.81/46.59 (define @t196 () (@var "BOUND_VARIABLE_8291" Int)) % 45.81/46.59 (define @t197 () (tptp.t2tb @t196)) % 45.81/46.59 (define @t198 () (not (>= (+ @t46 (* -1 @t196)) 1))) % 45.81/46.59 (define @t199 () (* -1 @t120)) % 45.81/46.59 (define @t200 () (or (not (>= (+ @t196 @t199) 1)) @t198 (not (>= (+ @t119 (* -1 (tptp.tb2t (tptp.get tptp.int tptp.int @t70 @t197)))) 0)))) % 45.81/46.59 (define @t201 () (+ 1 @t119)) % 45.81/46.59 (define @t202 () (= @t71 @t201)) % 45.81/46.59 (define @t203 () (>= @t71 1)) % 45.81/46.59 (define @t204 () (+ @t46 @t199)) % 45.81/46.59 (define @t205 () (>= @t204 1)) % 45.81/46.59 (define @t206 () (+ @t47 @t199)) % 45.81/46.59 (define @t207 () (>= @t206 1)) % 45.81/46.59 (define @t208 () (not @t207)) % 45.81/46.59 (define @t209 () (+ @t47 (* -1 @t127))) % 45.81/46.59 (define @t210 () (>= @t209 1)) % 45.81/46.59 (define @t211 () (and @t210 @t208 @t205 @t203 @t202 @t200)) % 45.81/46.59 (define @t212 () (>= @t46 1)) % 45.81/46.59 (define @t213 () (not @t212)) % 45.81/46.59 (define @t214 () (or @t213 @t186 @t211)) % 45.81/46.59 (define @t215 () (@list @t46 @t196)) % 45.81/46.59 (define @t216 () (forall @t215 @t214)) % 45.81/46.59 (define @t217 () (not @t216)) % 45.81/46.59 (define @t218 () (= @t140 -1)) % 45.81/46.59 (define @t219 () (not @t218)) % 45.81/46.59 (define @t220 () (* -1 tptp.n)) % 45.81/46.59 (define @t221 () (+ @t35 @t220)) % 45.81/46.59 (define @t222 () (>= @t221 0)) % 45.81/46.59 (define @t223 () (>= @t35 1)) % 45.81/46.59 (define @t224 () (not @t223)) % 45.81/46.59 (define @t225 () (not @t142)) % 45.81/46.59 (define @t226 () (or @t225 @t224 @t222 @t219 @t217 @t195 @t190 @t188 @t187 @t182 @t181 @t179 @t178 @t176 @t175)) % 45.81/46.59 (define @t227 () (@list @t69 @t79 @t35 @t172 @t171)) % 45.81/46.59 (define @t228 () (forall @t227 @t226)) % 45.81/46.59 (define @t229 () (>= tptp.n 2)) % 45.81/46.59 (define @t230 () (not @t229)) % 45.81/46.59 (define @t231 () (>= tptp.n 0)) % 45.81/46.59 (define @t232 () (not @t231)) % 45.81/46.59 (define @t233 () (or @t232 @t230 @t228)) % 45.81/46.59 (define @t234 () (not true)) % 45.81/46.59 (define @t235 () (tptp.tb2t1 (tptp.set tptp.int tptp.int @t156 @t139 (tptp.t2tb -1)))) % 45.81/46.59 (define @t236 () (not (= @t235 @t235))) % 45.81/46.59 (define @t237 () (= @t159 @t235)) % 45.81/46.59 (define @t238 () (not @t237)) % 45.81/46.59 (define @t239 () (or @t238 @t238)) % 45.81/46.59 (define @t240 () (forall @t163 @t238)) % 45.81/46.59 (define @t241 () (or @t232 @t230 @t228 @t240)) % 45.81/46.59 (define @t242 () (or @t232 @t230 @t228 @t238)) % 45.81/46.59 (define @t243 () (or @t232 @t238 @t230 @t228)) % 45.81/46.59 (define @t244 () (or @t230 @t232 @t228)) % 45.81/46.59 (define @t245 () (or @t232 @t228)) % 45.81/46.59 (define @t246 () (=> @t229 @t245)) % 45.81/46.59 (define @t247 () (=> @t231 @t246)) % 45.81/46.59 (define @t248 () (=> @t231 @t247)) % 45.81/46.59 (define @t249 () (and @t231 @t237)) % 45.81/46.59 (define @t250 () (+ -1 @t35)) % 45.81/46.59 (define @t251 () (tptp.tb2t (tptp.get tptp.int tptp.int @t70 (tptp.t2tb @t250)))) % 45.81/46.59 (define @t252 () (* -1 @t251)) % 45.81/46.59 (define @t253 () (+ @t35 (* -1 @t135) @t252)) % 45.81/46.59 (define @t254 () (>= @t253 1)) % 45.81/46.59 (define @t255 () (not @t254)) % 45.81/46.59 (define @t256 () (@list @t135)) % 45.81/46.59 (define @t257 () (forall @t256 @t255)) % 45.81/46.59 (define @t258 () (>= 1 1)) % 45.81/46.59 (define @t259 () (+ -1 @t35 @t252)) % 45.81/46.59 (define @t260 () (+ @t35 (* -1 @t259) @t252)) % 45.81/46.59 (define @t261 () (>= @t260 1)) % 45.81/46.59 (define @t262 () (or @t257 @t226)) % 45.81/46.59 (define @t263 () (or @t255 @t226)) % 45.81/46.59 (define @t264 () (or @t225 @t224 @t222 @t255 @t219 @t217 @t195 @t190 @t188 @t187 @t182 @t181 @t179 @t178 @t176 @t175)) % 45.81/46.59 (define @t265 () (forall @t256 @t264)) % 45.81/46.59 (define @t266 () (forall @t227 @t265)) % 45.81/46.59 (define @t267 () (forall (@list @t69 @t79 @t35 @t172 @t171 @t135) @t264)) % 45.81/46.59 (define @t268 () (@list @t135 @t69 @t79 @t35 @t172 @t171)) % 45.81/46.59 (define @t269 () (or @t190 @t188 @t187 @t182 @t181 @t179 @t178 @t176 @t175)) % 45.81/46.59 (define @t270 () (or @t225 @t224 @t222 @t255 @t219 @t217 @t195 @t269)) % 45.81/46.59 (define @t271 () (forall @t268 @t270)) % 45.81/46.59 (define @t272 () (@list @t172 @t171)) % 45.81/46.59 (define @t273 () (forall @t272 @t270)) % 45.81/46.59 (define @t274 () (forall @t272 @t269)) % 45.81/46.59 (define @t275 () (@var "BOUND_VARIABLE_8492" Int)) % 45.81/46.59 (define @t276 () (or @t225 @t224 @t222 @t255 @t219 @t217 @t195 @t274)) % 45.81/46.59 (define @t277 () (tptp.tb2t (tptp.get tptp.int tptp.int @t70 (tptp.t2tb @t275)))) % 45.81/46.59 (define @t278 () (tptp.tb2t (tptp.get tptp.int tptp.int @t70 (tptp.t2tb @t81)))) % 45.81/46.59 (define @t279 () (+ @t278 (* -1 @t277))) % 45.81/46.59 (define @t280 () (not (>= @t279 0))) % 45.81/46.59 (define @t281 () (not (>= (+ @t35 (* -1 @t275)) 1))) % 45.81/46.59 (define @t282 () (* -1 @t81)) % 45.81/46.59 (define @t283 () (not (>= (+ @t275 @t282) 1))) % 45.81/46.59 (define @t284 () (+ @t58 @t282)) % 45.81/46.59 (define @t285 () (>= @t284 1)) % 45.81/46.59 (define @t286 () (* -1 @t56)) % 45.81/46.59 (define @t287 () (+ tptp.n @t286)) % 45.81/46.59 (define @t288 () (>= @t287 1)) % 45.81/46.59 (define @t289 () (not @t288)) % 45.81/46.59 (define @t290 () (>= @t56 0)) % 45.81/46.59 (define @t291 () (not @t290)) % 45.81/46.59 (define @t292 () (* -1 @t101)) % 45.81/46.59 (define @t293 () (+ @t71 @t292)) % 45.81/46.59 (define @t294 () (>= @t293 1)) % 45.81/46.59 (define @t295 () (+ @t46 @t286)) % 45.81/46.59 (define @t296 () (>= @t295 1)) % 45.81/46.59 (define @t297 () (not @t296)) % 45.81/46.59 (define @t298 () (or @t297 @t186 @t294)) % 45.81/46.59 (define @t299 () (forall @t52 @t298)) % 45.81/46.59 (define @t300 () (not @t299)) % 45.81/46.59 (define @t301 () (+ @t35 @t286)) % 45.81/46.59 (define @t302 () (>= @t301 1)) % 45.81/46.59 (define @t303 () (not @t302)) % 45.81/46.59 (define @t304 () (+ @t56 @t189)) % 45.81/46.59 (define @t305 () (>= @t304 0)) % 45.81/46.59 (define @t306 () (not @t305)) % 45.81/46.59 (define @t307 () (or @t306 @t303 @t300 @t291 @t289 @t285 @t283 @t281 @t280)) % 45.81/46.59 (define @t308 () (@list @t56 @t275)) % 45.81/46.59 (define @t309 () (forall @t308 @t307)) % 45.81/46.59 (define @t310 () (or @t225 @t224 @t222 @t255 @t219 @t217 @t195 @t309)) % 45.81/46.59 (define @t311 () (forall @t149 @t310)) % 45.81/46.59 (define @t312 () (or @t232 @t311)) % 45.81/46.59 (define @t313 () (or @t232 @t310)) % 45.81/46.59 (define @t314 () (or @t224 @t222 @t225 @t219 @t255 @t217 @t195 @t232 @t309)) % 45.81/46.59 (define @t315 () (or @t225 @t219 @t255 @t217 @t195 @t232 @t309)) % 45.81/46.59 (define @t316 () (or @t232 @t309)) % 45.81/46.59 (define @t317 () (or @t225 @t219 @t255 @t217 @t195)) % 45.81/46.59 (define @t318 () (and @t142 @t218 @t254 @t216 @t194)) % 45.81/46.59 (define @t319 () (not @t222)) % 45.81/46.59 (define @t320 () (=> @t318 @t316)) % 45.81/46.59 (define @t321 () (and @t223 @t319)) % 45.81/46.59 (define @t322 () (+ @t35 (* -1 @t90) @t292)) % 45.81/46.59 (define @t323 () (>= @t322 1)) % 45.81/46.59 (define @t324 () (not @t323)) % 45.81/46.59 (define @t325 () (@list @t90)) % 45.81/46.59 (define @t326 () (forall @t325 @t324)) % 45.81/46.59 (define @t327 () (+ -1 @t35 @t292)) % 45.81/46.59 (define @t328 () (+ @t35 (* -1 @t327) @t292)) % 45.81/46.59 (define @t329 () (>= @t328 1)) % 45.81/46.59 (define @t330 () (or @t326 @t307)) % 45.81/46.59 (define @t331 () (or @t324 @t307)) % 45.81/46.59 (define @t332 () (or @t306 @t303 @t324 @t300 @t291 @t289 @t285 @t283 @t281 @t280)) % 45.81/46.59 (define @t333 () (forall @t325 @t332)) % 45.81/46.59 (define @t334 () (forall @t308 @t333)) % 45.81/46.59 (define @t335 () (forall (@list @t56 @t275 @t90) @t332)) % 45.81/46.59 (define @t336 () (@list @t56 @t90 @t275)) % 45.81/46.59 (define @t337 () (* -1 @t278)) % 45.81/46.59 (define @t338 () (+ @t337 @t277)) % 45.81/46.59 (define @t339 () (+ @t279 1)) % 45.81/46.59 (define @t340 () (+ @t277 @t337)) % 45.81/46.59 (define @t341 () (>= @t340 1)) % 45.81/46.59 (define @t342 () (or @t306 @t303 @t324 @t300 @t291 @t289 @t285 @t283 @t281 @t341)) % 45.81/46.59 (define @t343 () (or @t283 @t281 @t341)) % 45.81/46.59 (define @t344 () (or @t306 @t303 @t324 @t300 @t291 @t289 @t285 @t343)) % 45.81/46.59 (define @t345 () (forall @t336 @t344)) % 45.81/46.59 (define @t346 () (@list @t275)) % 45.81/46.59 (define @t347 () (forall @t346 @t344)) % 45.81/46.59 (define @t348 () (forall @t346 @t343)) % 45.81/46.59 (define @t349 () (@var "BOUND_VARIABLE_8394" Int)) % 45.81/46.59 (define @t350 () (@list @t349)) % 45.81/46.59 (define @t351 () (or @t306 @t303 @t324 @t300 @t291 @t289 @t285 @t348)) % 45.81/46.59 (define @t352 () (tptp.tb2t (tptp.get tptp.int tptp.int @t70 (tptp.t2tb @t349)))) % 45.81/46.59 (define @t353 () (+ @t352 @t337)) % 45.81/46.59 (define @t354 () (>= @t353 1)) % 45.81/46.59 (define @t355 () (* -1 @t349)) % 45.81/46.59 (define @t356 () (not (>= (+ @t35 @t355) 1))) % 45.81/46.59 (define @t357 () (+ @t349 @t282)) % 45.81/46.59 (define @t358 () (not (>= @t357 1))) % 45.81/46.59 (define @t359 () (or @t358 @t356 @t354)) % 45.81/46.59 (define @t360 () (@list @t349)) % 45.81/46.59 (define @t361 () (forall @t360 @t359)) % 45.81/46.59 (define @t362 () (or @t306 @t303 @t324 @t300 @t291 @t289 @t285 @t361)) % 45.81/46.59 (define @t363 () (forall @t110 @t362)) % 45.81/46.59 (define @t364 () (or @t232 @t363)) % 45.81/46.59 (define @t365 () (or @t232 @t362)) % 45.81/46.59 (define @t366 () (or @t306 @t303 @t324 @t300 @t232 @t291 @t289 @t285 @t361)) % 45.81/46.59 (define @t367 () (or @t232 @t291 @t289 @t285 @t361)) % 45.81/46.59 (define @t368 () (or @t306 @t303 @t324 @t300)) % 45.81/46.59 (define @t369 () (or @t285 @t291 @t289 @t361)) % 45.81/46.59 (define @t370 () (or @t232 @t291 @t289)) % 45.81/46.59 (define @t371 () (or @t291 @t289 @t361)) % 45.81/46.59 (define @t372 () (not @t285)) % 45.81/46.59 (define @t373 () (or @t291 @t289)) % 45.81/46.59 (define @t374 () (and @t290 @t288)) % 45.81/46.59 (define @t375 () (not @t374)) % 45.81/46.59 (define @t376 () (=> @t372 @t371)) % 45.81/46.59 (define @t377 () (and @t231 @t290 @t288)) % 45.81/46.59 (define @t378 () (=> @t377 @t376)) % 45.81/46.59 (define @t379 () (and @t305 @t302 @t323 @t299)) % 45.81/46.59 (define @t380 () (+ 1 @t90)) % 45.81/46.59 (define @t381 () (+ -1 @t380)) % 45.81/46.59 (define @t382 () (= @t90 @t381)) % 45.81/46.59 (define @t383 () (not @t382)) % 45.81/46.59 (define @t384 () (+ -1 @t92)) % 45.81/46.59 (define @t385 () (= @t90 @t384)) % 45.81/46.59 (define @t386 () (not @t385)) % 45.81/46.59 (define @t387 () (= @t92 @t380)) % 45.81/46.59 (define @t388 () (* 1 (- @t92 @t380))) % 45.81/46.59 (define @t389 () (* -1 (- @t90 @t384))) % 45.81/46.59 (define @t390 () (or @t386 @t386)) % 45.81/46.59 (define @t391 () (forall @t95 @t386)) % 45.81/46.59 (define @t392 () (or @t291 @t289 @t361 @t391)) % 45.81/46.59 (define @t393 () (or @t291 @t289 @t361 @t386)) % 45.81/46.59 (define @t394 () (or @t386 @t291 @t289 @t361)) % 45.81/46.59 (define @t395 () (=> @t374 @t361)) % 45.81/46.59 (define @t396 () (* -1 @t352)) % 45.81/46.59 (define @t397 () (+ @t396 @t278)) % 45.81/46.59 (define @t398 () (+ @t353 1)) % 45.81/46.59 (define @t399 () (+ @t278 @t396)) % 45.81/46.59 (define @t400 () (>= @t399 0)) % 45.81/46.59 (define @t401 () (not @t400)) % 45.81/46.59 (define @t402 () (+ @t355 @t81)) % 45.81/46.59 (define @t403 () (+ @t357 1)) % 45.81/46.59 (define @t404 () (+ @t81 @t355)) % 45.81/46.59 (define @t405 () (>= @t404 0)) % 45.81/46.59 (define @t406 () (not (= @t81 @t81))) % 45.81/46.59 (define @t407 () (or @t406 @t405 @t356 @t401)) % 45.81/46.59 (define @t408 () (+ @t73 @t396)) % 45.81/46.59 (define @t409 () (not (>= @t408 0))) % 45.81/46.59 (define @t410 () (+ @t72 @t355)) % 45.81/46.59 (define @t411 () (>= @t410 0)) % 45.81/46.59 (define @t412 () (not @t82)) % 45.81/46.59 (define @t413 () (or @t412 @t412 @t411 @t356 @t409)) % 45.81/46.59 (define @t414 () (or @t412 @t411 @t356 @t409)) % 45.81/46.59 (define @t415 () (forall @t84 @t414)) % 45.81/46.59 (define @t416 () (forall @t360 @t415)) % 45.81/46.59 (define @t417 () (forall (@list @t349 @t72) @t414)) % 45.81/46.59 (define @t418 () (@list @t72 @t349)) % 45.81/46.59 (define @t419 () (* -1 @t73)) % 45.81/46.59 (define @t420 () (+ @t419 @t352)) % 45.81/46.59 (define @t421 () (+ @t408 1)) % 45.81/46.59 (define @t422 () (+ @t352 @t419)) % 45.81/46.59 (define @t423 () (>= @t422 1)) % 45.81/46.59 (define @t424 () (* -1 @t72)) % 45.81/46.59 (define @t425 () (+ @t424 @t349)) % 45.81/46.59 (define @t426 () (+ @t410 1)) % 45.81/46.59 (define @t427 () (+ @t349 @t424)) % 45.81/46.59 (define @t428 () (>= @t427 1)) % 45.81/46.59 (define @t429 () (not @t428)) % 45.81/46.59 (define @t430 () (or @t412 @t429 @t356 @t423)) % 45.81/46.59 (define @t431 () (or @t429 @t356 @t423)) % 45.81/46.59 (define @t432 () (or @t412 @t431)) % 45.81/46.59 (define @t433 () (forall @t418 @t432)) % 45.81/46.59 (define @t434 () (forall @t360 @t432)) % 45.81/46.59 (define @t435 () (forall @t360 @t431)) % 45.81/46.59 (define @t436 () (or @t412 @t435)) % 45.81/46.59 (define @t437 () (+ @t71 @t419)) % 45.81/46.59 (define @t438 () (>= @t437 1)) % 45.81/46.59 (define @t439 () (+ @t46 @t424)) % 45.81/46.59 (define @t440 () (>= @t439 1)) % 45.81/46.59 (define @t441 () (not @t440)) % 45.81/46.59 (define @t442 () (or @t441 @t186 @t438)) % 45.81/46.59 (define @t443 () (forall @t52 @t442)) % 45.81/46.59 (define @t444 () (and @t440 @t185)) % 45.81/46.59 (define @t445 () (+ @t437 1)) % 45.81/46.59 (define @t446 () (>= @t73 @t71)) % 45.81/46.59 (define @t447 () (+ @t184 1)) % 45.81/46.59 (define @t448 () (>= @t46 @t35)) % 45.81/46.59 (define @t449 () (+ @t439 1)) % 45.81/46.59 (define @t450 () (>= @t72 @t46)) % 45.81/46.59 (define @t451 () (+ @t287 1)) % 45.81/46.59 (define @t452 () (>= @t56 tptp.n)) % 45.81/46.59 (define @t453 () (+ @t81 1)) % 45.81/46.59 (define @t454 () (>= @t58 @t453)) % 45.81/46.59 (define @t455 () (and @t296 @t185)) % 45.81/46.59 (define @t456 () (+ @t293 1)) % 45.81/46.59 (define @t457 () (>= @t101 @t71)) % 45.81/46.59 (define @t458 () (+ @t295 1)) % 45.81/46.59 (define @t459 () (>= @t56 @t46)) % 45.81/46.59 (define @t460 () (* -1 1)) % 45.81/46.59 (define @t461 () (+ @t35 @t460)) % 45.81/46.59 (define @t462 () (+ @t301 1)) % 45.81/46.59 (define @t463 () (>= @t56 @t35)) % 45.81/46.59 (define @t464 () (and @t191 @t185)) % 45.81/46.59 (define @t465 () (@list @t196)) % 45.81/46.59 (define @t466 () (forall @t465 @t214)) % 45.81/46.59 (define @t467 () (forall @t465 @t200)) % 45.81/46.59 (define @t468 () (forall @t465 @t202)) % 45.81/46.59 (define @t469 () (forall @t465 @t203)) % 45.81/46.59 (define @t470 () (forall @t465 @t205)) % 45.81/46.59 (define @t471 () (forall @t465 @t208)) % 45.81/46.59 (define @t472 () (forall @t465 @t210)) % 45.81/46.59 (define @t473 () (and @t472 @t471 @t470 @t469 @t468 @t467)) % 45.81/46.59 (define @t474 () (forall @t465 @t211)) % 45.81/46.59 (define @t475 () (or @t213 @t186 @t474)) % 45.81/46.59 (define @t476 () (+ @t119 (* -1 @t117))) % 45.81/46.59 (define @t477 () (>= @t476 0)) % 45.81/46.59 (define @t478 () (not @t477)) % 45.81/46.59 (define @t479 () (+ @t46 (* -1 @t116))) % 45.81/46.59 (define @t480 () (>= @t479 1)) % 45.81/46.59 (define @t481 () (not @t480)) % 45.81/46.59 (define @t482 () (+ @t116 @t199)) % 45.81/46.59 (define @t483 () (>= @t482 1)) % 45.81/46.59 (define @t484 () (not @t483)) % 45.81/46.59 (define @t485 () (or @t484 @t481 @t478)) % 45.81/46.59 (define @t486 () (and @t210 @t208 @t205 @t203 @t202 (forall @t123 @t485))) % 45.81/46.59 (define @t487 () (or @t213 @t186 @t486)) % 45.81/46.59 (define @t488 () (and @t212 @t185)) % 45.81/46.59 (define @t489 () (and @t483 @t480)) % 45.81/46.59 (define @t490 () (>= @t119 @t117)) % 45.81/46.59 (define @t491 () (+ @t479 1)) % 45.81/46.59 (define @t492 () (>= @t116 @t46)) % 45.81/46.59 (define @t493 () (+ @t482 1)) % 45.81/46.59 (define @t494 () (>= @t120 @t116)) % 45.81/46.59 (define @t495 () (+ @t71 1)) % 45.81/46.59 (define @t496 () (>= 0 @t71)) % 45.81/46.59 (define @t497 () (+ @t204 1)) % 45.81/46.59 (define @t498 () (>= @t120 @t46)) % 45.81/46.59 (define @t499 () (+ @t120 1)) % 45.81/46.59 (define @t500 () (>= @t47 @t499)) % 45.81/46.59 (define @t501 () (+ @t209 1)) % 45.81/46.59 (define @t502 () (>= @t127 @t47)) % 45.81/46.59 (define @t503 () (+ @t46 1)) % 45.81/46.59 (define @t504 () (>= 0 @t46)) % 45.81/46.59 (define @t505 () (+ @t135 @t251)) % 45.81/46.59 (define @t506 () (+ -1 tptp.n)) % 45.81/46.59 (define @t507 () (+ @t506 1)) % 45.81/46.59 (define @t508 () (>= @t35 @t507)) % 45.81/46.59 (define @t509 () (+ tptp.n @t460)) % 45.81/46.59 (define @t510 () (>= tptp.n 1)) % 45.81/46.59 (define @t511 () (+ tptp.n 1)) % 45.81/46.59 (define @t512 () (>= 0 tptp.n)) % 45.81/46.59 (define @t513 () (@quantifiers_skolemize @t228 4)) % 45.81/46.59 (define @t514 () (tptp.t2tb1 (@quantifiers_skolemize @t228 0))) % 45.81/46.59 (define @t515 () (tptp.tb2t (tptp.get tptp.int tptp.int @t514 (tptp.t2tb @t513)))) % 45.81/46.59 (define @t516 () (* -1 @t515)) % 45.81/46.59 (define @t517 () (@quantifiers_skolemize @t228 3)) % 45.81/46.59 (define @t518 () (tptp.t2tb @t517)) % 45.81/46.59 (define @t519 () (tptp.t2tb1 (@quantifiers_skolemize @t228 1))) % 45.81/46.59 (define @t520 () (tptp.get tptp.int tptp.int @t519 @t518)) % 45.81/46.59 (define @t521 () (tptp.tb2t @t520)) % 45.81/46.59 (define @t522 () (tptp.t2tb @t521)) % 45.81/46.59 (define @t523 () (tptp.get tptp.int tptp.int @t514 @t522)) % 45.81/46.59 (define @t524 () (tptp.tb2t @t523)) % 45.81/46.59 (define @t525 () (+ @t524 @t516)) % 45.81/46.59 (define @t526 () (>= @t525 0)) % 45.81/46.59 (define @t527 () (not @t526)) % 45.81/46.59 (define @t528 () (* -1 @t513)) % 45.81/46.59 (define @t529 () (@quantifiers_skolemize @t228 2)) % 45.81/46.59 (define @t530 () (+ @t529 @t528)) % 45.81/46.59 (define @t531 () (>= @t530 1)) % 45.81/46.59 (define @t532 () (not @t531)) % 45.81/46.59 (define @t533 () (* -1 @t521)) % 45.81/46.59 (define @t534 () (>= (+ @t513 @t533) 1)) % 45.81/46.59 (define @t535 () (not @t534)) % 45.81/46.59 (define @t536 () (tptp.f @t529)) % 45.81/46.59 (define @t537 () (+ @t536 @t533)) % 45.81/46.59 (define @t538 () (>= @t537 1)) % 45.81/46.59 (define @t539 () (* -1 @t517)) % 45.81/46.59 (define @t540 () (not (>= (+ tptp.n @t539) 1))) % 45.81/46.59 (define @t541 () (>= @t517 0)) % 45.81/46.59 (define @t542 () (not @t541)) % 45.81/46.59 (define @t543 () (tptp.get tptp.int tptp.int @t514 @t518)) % 45.81/46.59 (define @t544 () (tptp.tb2t @t543)) % 45.81/46.59 (define @t545 () (* -1 @t544)) % 45.81/46.59 (define @t546 () (tptp.tb2t (tptp.get tptp.int tptp.int @t514 @t68))) % 45.81/46.59 (define @t547 () (>= (+ @t546 @t545) 1)) % 45.81/46.59 (define @t548 () (* -1 @t529)) % 45.81/46.59 (define @t549 () (+ @t46 @t548)) % 45.81/46.59 (define @t550 () (>= @t549 0)) % 45.81/46.59 (define @t551 () (not (>= (+ @t46 @t539) 1))) % 45.81/46.59 (define @t552 () (forall @t52 (or @t551 @t550 @t547))) % 45.81/46.59 (define @t553 () (not @t552)) % 45.81/46.59 (define @t554 () (+ @t529 @t539)) % 45.81/46.59 (define @t555 () (>= @t554 1)) % 45.81/46.59 (define @t556 () (not @t555)) % 45.81/46.59 (define @t557 () (* -1 @t536)) % 45.81/46.59 (define @t558 () (not (>= (+ @t517 @t557) 0))) % 45.81/46.59 (define @t559 () (tptp.path @t546 @t46)) % 45.81/46.59 (define @t560 () (tptp.get tptp.int tptp.int @t519 @t68)) % 45.81/46.59 (define @t561 () (tptp.tb2t (tptp.get tptp.int tptp.int @t514 @t560))) % 45.81/46.59 (define @t562 () (* -1 (tptp.tb2t @t560))) % 45.81/46.59 (define @t563 () (and (>= (+ @t47 (* -1 (tptp.tb2t (tptp.get tptp.int tptp.int @t519 @t560)))) 1) (not (>= (+ @t47 @t562) 1)) (>= (+ @t46 @t562) 1) (>= @t546 1) (= @t546 (+ 1 @t561)) (or (not (>= (+ @t196 @t562) 1)) @t198 (not (>= (+ @t561 (* -1 (tptp.tb2t (tptp.get tptp.int tptp.int @t514 @t197)))) 0))))) % 45.81/46.59 (define @t564 () (forall @t215 (or @t213 @t550 @t563))) % 45.81/46.59 (define @t565 () (not @t564)) % 45.81/46.59 (define @t566 () (tptp.get tptp.int tptp.int @t519 @t139)) % 45.81/46.59 (define @t567 () (tptp.tb2t @t566)) % 45.81/46.59 (define @t568 () (= @t567 -1)) % 45.81/46.59 (define @t569 () (not @t568)) % 45.81/46.59 (define @t570 () (+ tptp.n @t548)) % 45.81/46.59 (define @t571 () (>= @t570 1)) % 45.81/46.59 (define @t572 () (not @t571)) % 45.81/46.59 (define @t573 () (>= @t529 1)) % 45.81/46.59 (define @t574 () (not @t573)) % 45.81/46.59 (define @t575 () (tptp.tb2t (tptp.get tptp.int tptp.int @t514 @t139))) % 45.81/46.59 (define @t576 () (not (= @t575 0))) % 45.81/46.59 (define @t577 () (or @t576 @t574 @t572 @t569 @t565 (not (forall @t52 (or @t192 @t550 @t559))) @t558 @t556 @t553 @t542 @t540 @t538 @t535 @t532 @t527)) % 45.81/46.59 (define @t578 () (not @t577)) % 45.81/46.59 (define @t579 () (not @t228)) % 45.81/46.59 (define @t580 () (+ @t183 @t529)) % 45.81/46.59 (define @t581 () (+ @t549 1)) % 45.81/46.59 (define @t582 () (+ @t529 @t183)) % 45.81/46.59 (define @t583 () (>= @t582 1)) % 45.81/46.59 (define @t584 () (not @t583)) % 45.81/46.59 (define @t585 () (or @t551 @t584 @t547)) % 45.81/46.59 (define @t586 () (forall @t52 @t585)) % 45.81/46.59 (define @t587 () (not @t586)) % 45.81/46.59 (define @t588 () (or @t192 @t584 @t559)) % 45.81/46.59 (define @t589 () (forall @t52 @t588)) % 45.81/46.59 (define @t590 () (not @t589)) % 45.81/46.59 (define @t591 () (or @t213 @t584 @t563)) % 45.81/46.59 (define @t592 () (forall @t215 @t591)) % 45.81/46.59 (define @t593 () (not @t592)) % 45.81/46.59 (define @t594 () (+ @t220 @t529)) % 45.81/46.59 (define @t595 () (+ @t570 1)) % 45.81/46.59 (define @t596 () (+ @t529 @t220)) % 45.81/46.59 (define @t597 () (>= @t596 0)) % 45.81/46.59 (define @t598 () (or @t576 @t574 @t597 @t569 @t593 @t590 @t558 @t556 @t587 @t542 @t540 @t538 @t535 @t532 @t527)) % 45.81/46.59 (define @t599 () (not @t598)) % 45.81/46.59 (define @t600 () (@list true)) % 45.81/46.59 (define @t601 () (@list @t577)) % 45.81/46.59 (define @t602 () (tptp.tb2t (tptp.get tptp.int tptp.int @t514 @t520))) % 45.81/46.59 (define @t603 () (* -1 @t602)) % 45.81/46.59 (define @t604 () (+ @t575 @t603)) % 45.81/46.59 (define @t605 () (>= @t604 1)) % 45.81/46.59 (define @t606 () (* -1 @t575)) % 45.81/46.59 (define @t607 () (+ @t606 @t602)) % 45.81/46.59 (define @t608 () (+ @t604 1)) % 45.81/46.59 (define @t609 () (+ @t602 @t606)) % 45.81/46.59 (define @t610 () (>= @t609 0)) % 45.81/46.59 (define @t611 () (not @t610)) % 45.81/46.59 (define @t612 () (* -1 0)) % 45.81/46.59 (define @t613 () (+ @t517 @t612)) % 45.81/46.59 (define @t614 () (>= @t613 1)) % 45.81/46.59 (define @t615 () (not @t614)) % 45.81/46.59 (define @t616 () (>= @t521 0)) % 45.81/46.59 (define @t617 () (+ @t521 1)) % 45.81/46.59 (define @t618 () (+ 0 @t533)) % 45.81/46.59 (define @t619 () (>= @t618 1)) % 45.81/46.59 (define @t620 () (not @t619)) % 45.81/46.59 (define @t621 () (or @t620 @t615 @t611)) % 45.81/46.59 (define @t622 () (+ 1 @t602)) % 45.81/46.59 (define @t623 () (= @t544 @t622)) % 45.81/46.59 (define @t624 () (>= @t544 1)) % 45.81/46.59 (define @t625 () (>= (+ @t517 @t533) 1)) % 45.81/46.59 (define @t626 () (tptp.f @t517)) % 45.81/46.59 (define @t627 () (+ @t521 (* -1 @t626))) % 45.81/46.59 (define @t628 () (>= @t627 0)) % 45.81/46.59 (define @t629 () (+ @t533 @t626)) % 45.81/46.59 (define @t630 () (+ @t627 1)) % 45.81/46.59 (define @t631 () (+ @t626 @t533)) % 45.81/46.59 (define @t632 () (>= @t631 1)) % 45.81/46.59 (define @t633 () (not @t632)) % 45.81/46.59 (define @t634 () (>= (+ @t626 (* -1 (tptp.tb2t (tptp.get tptp.int tptp.int @t519 @t520)))) 1)) % 45.81/46.59 (define @t635 () (and @t634 @t633 @t625 @t624 @t623 @t621)) % 45.81/46.59 (define @t636 () (+ @t548 @t517)) % 45.81/46.59 (define @t637 () (+ @t554 1)) % 45.81/46.59 (define @t638 () (+ @t517 @t548)) % 45.81/46.59 (define @t639 () (>= @t638 0)) % 45.81/46.59 (define @t640 () (>= @t517 1)) % 45.81/46.59 (define @t641 () (not @t640)) % 45.81/46.59 (define @t642 () (or @t641 @t639 @t635)) % 45.81/46.59 (define @t643 () (and @t634 @t628 @t625 @t624 @t623 (or @t616 @t641 @t605))) % 45.81/46.59 (define @t644 () (or @t641 @t556 @t643)) % 45.81/46.59 (define @t645 () (@list false)) % 45.81/46.59 (define @t646 () (@list @t564)) % 45.81/46.59 (define @t647 () (+ @t46 (* -1 @t47))) % 45.81/46.59 (define @t648 () (>= @t647 1)) % 45.81/46.59 (define @t649 () (and (>= @t47 0) @t648)) % 45.81/46.59 (define @t650 () (+ tptp.n @t183)) % 45.81/46.59 (define @t651 () (>= @t650 1)) % 45.81/46.59 (define @t652 () (not @t651)) % 45.81/46.59 (define @t653 () (and @t212 @t651)) % 45.81/46.59 (define @t654 () (+ @t647 1)) % 45.81/46.59 (define @t655 () (>= @t47 @t46)) % 45.81/46.59 (define @t656 () (+ @t650 1)) % 45.81/46.59 (define @t657 () (>= @t46 tptp.n)) % 45.81/46.59 (define @t658 () (>= @t536 0)) % 45.81/46.59 (define @t659 () (and @t658 (>= (+ @t529 @t557) 1))) % 45.81/46.59 (define @t660 () (or @t574 @t572 @t659)) % 45.81/46.59 (define @t661 () (@list false false false)) % 45.81/46.59 (define @t662 () (not @t538)) % 45.81/46.59 (define @t663 () (not @t658)) % 45.81/46.59 (define @t664 () (= @t517 0)) % 45.81/46.59 (define @t665 () (not @t664)) % 45.81/46.59 (define @t666 () (= -1 @t521)) % 45.81/46.59 (define @t667 () (+ -1 1 @t612)) % 45.81/46.59 (define @t668 () (+ @t533 @t521 @t557 @t536)) % 45.81/46.59 (define @t669 () (+ @t521 @t537 @t557)) % 45.81/46.59 (define @t670 () (>= @t669 @t667)) % 45.81/46.59 (define @t671 () (< -1 0)) % 45.81/46.59 (define @t672 () (= 0 @t517)) % 45.81/46.59 (define @t673 () (and @t658 @t662 @t666)) % 45.81/46.59 (define @t674 () (@list false true false)) % 45.81/46.59 (define @t675 () (and @t541 @t665)) % 45.81/46.59 (define @t676 () (+ @t545 @t515)) % 45.81/46.59 (define @t677 () (+ @t544 @t516)) % 45.81/46.59 (define @t678 () (+ @t677 1)) % 45.81/46.59 (define @t679 () (+ @t515 @t545)) % 45.81/46.59 (define @t680 () (>= @t679 1)) % 45.81/46.59 (define @t681 () (+ @t548 @t513)) % 45.81/46.59 (define @t682 () (+ @t530 1)) % 45.81/46.59 (define @t683 () (+ @t513 @t548)) % 45.81/46.59 (define @t684 () (>= @t683 0)) % 45.81/46.59 (define @t685 () (+ @t517 @t528)) % 45.81/46.59 (define @t686 () (>= @t685 0)) % 45.81/46.59 (define @t687 () (+ @t539 @t513)) % 45.81/46.59 (define @t688 () (+ @t685 1)) % 45.81/46.59 (define @t689 () (+ @t513 @t539)) % 45.81/46.59 (define @t690 () (>= @t689 1)) % 45.81/46.59 (define @t691 () (not @t690)) % 45.81/46.59 (define @t692 () (or @t691 @t684 @t680)) % 45.81/46.59 (define @t693 () (>= @t677 0)) % 45.81/46.59 (define @t694 () (not @t693)) % 45.81/46.59 (define @t695 () (or @t686 @t532 @t694)) % 45.81/46.59 (define @t696 () (= @t524 @t602)) % 45.81/46.59 (define @t697 () (not @t696)) % 45.81/46.59 (define @t698 () (not @t623)) % 45.81/46.59 (define @t699 () (+ 0 @t460 @t612 0)) % 45.81/46.59 (define @t700 () (+ 0 0 0 0)) % 45.81/46.59 (define @t701 () (* 0 @t544)) % 45.81/46.59 (define @t702 () (= @t701 0)) % 45.81/46.59 (define @t703 () (* 0 @t524)) % 45.81/46.59 (define @t704 () (= @t703 0)) % 45.81/46.59 (define @t705 () (* 0 @t515)) % 45.81/46.59 (define @t706 () (= @t705 0)) % 45.81/46.59 (define @t707 () (* 0 @t602)) % 45.81/46.59 (define @t708 () (= @t707 0)) % 45.81/46.59 (define @t709 () (+ @t707 @t705 @t703 @t701)) % 45.81/46.59 (define @t710 () (+ @t524 @t603)) % 45.81/46.59 (define @t711 () (* -1 @t525)) % 45.81/46.59 (define @t712 () (+ @t544 @t603)) % 45.81/46.59 (define @t713 () (* -1 @t712)) % 45.81/46.59 (define @t714 () (+ @t677 @t713 @t711 @t710)) % 45.81/46.59 (define @t715 () (>= @t714 @t699)) % 45.81/46.59 (define @t716 () (= (* 1 (- @t710 0)) (* 1 (- @t524 @t602)))) % 45.81/46.59 (define @t717 () (= (= @t710 0) @t696)) % 45.81/46.59 (define @t718 () (= @t712 1)) % 45.81/46.59 (define @t719 () (= (* -1 (- @t712 1)) (* -1 (- @t544 @t622)))) % 45.81/46.59 (define @t720 () (= @t718 @t623)) % 45.81/46.59 (define @t721 () (+ @t515 @t603)) % 45.81/46.59 (define @t722 () (>= @t721 1)) % 45.81/46.59 (define @t723 () (+ @t516 @t602)) % 45.81/46.59 (define @t724 () (+ @t721 1)) % 45.81/46.59 (define @t725 () (+ @t602 @t516)) % 45.81/46.59 (define @t726 () (>= @t725 0)) % 45.81/46.59 (define @t727 () (not @t726)) % 45.81/46.59 (define @t728 () (>= @t685 1)) % 45.81/46.59 (define @t729 () (not @t728)) % 45.81/46.59 (define @t730 () (or @t535 @t729 @t727)) % 45.81/46.59 (define @t731 () (and @t634 @t633 @t625 @t624 @t623 @t730)) % 45.81/46.59 (define @t732 () (or @t641 @t639 @t731)) % 45.81/46.59 (define @t733 () (or @t535 @t729 @t722)) % 45.81/46.59 (define @t734 () (and @t634 @t628 @t625 @t624 @t623 @t733)) % 45.81/46.59 (define @t735 () (or @t641 @t556 @t734)) % 45.81/46.59 (define @t736 () (<= 0 -1)) % 45.81/46.59 (define @t737 () (+ @t460 @t612 0)) % 45.81/46.59 (define @t738 () (+ @t707 @t515 @t516 @t703)) % 45.81/46.59 (define @t739 () (+ (* -1 @t721) @t711 @t710)) % 45.81/46.59 (define @t740 () (= @t520 @t522)) % 45.81/46.59 (define @t741 () (and @t696 @t526 @t722)) % 45.81/46.59 (define @t742 () (not @t686)) % 45.81/46.59 (define @t743 () (not @t740)) % 45.81/46.59 (define @t744 () (= @t544 @t515)) % 45.81/46.59 (define @t745 () (+ @t612 0 @t460 0)) % 45.81/46.59 (define @t746 () (+ @t711 @t710 @t713 @t677)) % 45.81/46.59 (define @t747 () (= @t517 @t513)) % 45.81/46.59 (define @t748 () (and @t744 @t623 @t696 @t526)) % 45.81/46.59 (assume @p1 (forall (@list @t1) (tptp.sort @t1 (tptp.witness @t1)))) % 45.81/46.59 (assume @p2 (forall (@list @t1 @t4 @t3 @t2) (tptp.sort @t1 (tptp.match_bool @t1 @t4 @t3 @t2)))) % 45.81/46.59 (assume @p3 (forall @t7 (=> (tptp.sort @t1 @t5) (= (tptp.match_bool @t1 tptp.true @t5 @t6) @t5)))) % 45.81/46.59 (assume @p4 (forall @t7 (=> (tptp.sort @t1 @t6) (= (tptp.match_bool @t1 tptp.false @t5 @t6) @t6)))) % 45.81/46.59 (assume @p5 (not (= tptp.true tptp.false))) % 45.81/46.59 (assume @p6 (forall (@list @t8) (or (= @t8 tptp.true) (= @t8 tptp.false)))) % 45.81/46.59 (assume @p7 (forall (@list @t9) (= @t9 tptp.tuple02))) % 45.81/46.59 (assume @p8 (forall (@list @t12 @t11 @t10) (=> (<= @t12 @t11) (=> (<= 0 @t10) (<= (* @t12 @t10) (* @t11 @t10)))))) % 45.81/46.59 (assume @p9 (forall @t15 (tptp.sort @t14 (tptp.mk_ref @t1 @t13)))) % 45.81/46.59 (assume @p10 (forall @t15 (tptp.sort @t1 (tptp.contents @t1 @t13)))) % 45.81/46.59 (assume @p11 (forall @t17 (=> (tptp.sort @t1 @t16) (= (tptp.contents @t1 (tptp.mk_ref @t1 @t16)) @t16)))) % 45.81/46.59 (assume @p12 (forall @t17 (=> (tptp.sort @t14 @t16) (= @t16 (tptp.mk_ref @t1 (tptp.contents @t1 @t16)))))) % 45.81/46.59 (assume @p13 (forall (@list @t1 @t18 @t13 @t3) (tptp.sort @t18 (tptp.get @t18 @t1 @t13 @t3)))) % 45.81/46.59 (assume @p14 (forall (@list @t1 @t18 @t13 @t3 @t2) (tptp.sort @t19 (tptp.set @t18 @t1 @t13 @t3 @t2)))) % 45.81/46.59 (assume @p15 (forall (@list @t1 @t18 @t23 @t22 @t21 @t20) (=> @t26 (=> @t25 (= @t24 @t20))))) % 45.81/46.59 (assume @p16 (forall (@list @t1 @t18 @t23 @t22 @t21) (=> (tptp.sort @t1 @t22) (=> (tptp.sort @t1 @t21) (forall (@list @t20) (=> (not @t25) (= @t24 (tptp.get @t18 @t1 @t23 @t21)))))))) % 45.81/46.59 (assume @p17 (forall (@list @t1 @t18 @t13) (tptp.sort @t19 (tptp.const @t18 @t1 @t13)))) % 45.81/46.59 (assume @p18 (forall (@list @t1 @t18 @t20 @t22) (=> @t26 (= (tptp.get @t18 @t1 (tptp.const @t18 @t1 @t20) @t22) @t20)))) % 45.81/46.59 (assume @p19 (forall @t28 (tptp.sort @t27 (tptp.mk_array @t1 @t12 @t3)))) % 45.81/46.59 (assume @p20 (forall @t32 (= (tptp.length @t1 @t31) @t29))) % 45.81/46.59 (assume @p21 (forall @t15 (tptp.sort @t33 (tptp.elts @t1 @t13)))) % 45.81/46.59 (assume @p22 (forall @t32 (=> (tptp.sort @t33 @t30) (= (tptp.elts @t1 @t31) @t30)))) % 45.81/46.59 (assume @p23 (forall @t17 (= @t16 (tptp.mk_array @t1 (tptp.length @t1 @t16) (tptp.elts @t1 @t16))))) % 45.81/46.59 (assume @p24 (forall (@list @t1 @t13 @t34) (tptp.sort @t1 (tptp.get1 @t1 @t13 @t34)))) % 45.81/46.59 (assume @p25 (forall (@list @t12) (tptp.sort tptp.int (tptp.t2tb @t12)))) % 45.81/46.59 (assume @p26 (forall @t37 (= (tptp.tb2t @t36) @t35))) % 45.81/46.59 (assume @p27 @t41) % 45.81/46.59 (assume @p28 (forall (@list @t1 @t22 @t35) (= (tptp.get1 @t1 @t22 @t35) (tptp.get @t1 tptp.int @t42 @t36)))) % 45.81/46.59 (assume @p29 (forall (@list @t1 @t13 @t34 @t2) (tptp.sort @t27 (tptp.set1 @t1 @t13 @t34 @t2)))) % 45.81/46.59 (assume @p30 (forall (@list @t1 @t22 @t35 @t43) (= (tptp.set1 @t1 @t22 @t35 @t43) (tptp.mk_array @t1 (tptp.length @t1 @t22) (tptp.set @t1 tptp.int @t42 @t36 @t43))))) % 45.81/46.59 (assume @p31 (forall @t28 (tptp.sort @t27 (tptp.make @t1 @t12 @t3)))) % 45.81/46.59 (assume @p32 (forall (@list @t1 @t44 @t43) (= (tptp.make @t1 @t44 @t43) (tptp.mk_array @t1 @t44 (tptp.const @t1 tptp.int @t43))))) % 45.81/46.59 (assume @p33 @t45) % 45.81/46.59 (assume @p34 @t53) % 45.81/46.59 (assume @p35 (tptp.path 0 0)) % 45.81/46.59 (assume @p36 (forall @t37 (=> (and @t63 @t62) (forall @t61 (=> @t60 (=> (and @t59 @t57) (tptp.path @t55 @t35))))))) % 45.81/46.59 (assume @p37 (forall (@list @t10 @t64) (=> (tptp.path @t10 @t64) (or (and (= @t10 0) (= @t64 0)) (exists @t37 (and @t63 @t62 (exists @t61 (and @t60 @t59 @t57 (= @t10 @t55) (= @t64 @t35))))))))) % 45.81/46.59 (assume @p38 (forall (@list @t54 @t35) (= (tptp.distance @t54 @t35) (and (tptp.path @t54 @t35) (forall (@list @t65) (=> (tptp.path @t65 @t35) (<= @t54 @t65))))))) % 45.81/46.59 (assume @p39 (forall (@list @t66) (tptp.sort (tptp.map tptp.int tptp.int) (tptp.t2tb1 @t66)))) % 45.81/46.59 (assume @p40 (forall (@list @t67) (= (tptp.tb2t1 (tptp.t2tb1 @t67)) @t67))) % 45.81/46.59 (assume @p41 (forall @t40 (= (tptp.t2tb1 (tptp.tb2t1 @t38)) @t38))) % 45.81/46.59 (assume @p42 @t170) % 45.81/46.59 (assume @p43 true) % 45.81/46.59 (step @p44 :rule aci_norm :args ((= (or @t232 @t230 @t228 false) @t233))) % 45.81/46.59 (step @p45 :rule evaluate :args (@t234)) % 45.81/46.59 (step @p46 :rule eq-refl :args (@t235)) % 45.81/46.59 (step @p47 :rule cong :premises (@p46) :args (@t236)) % 45.81/46.59 (step @p48 :rule trans :premises (@p47 @p45)) % 45.81/46.59 (step @p49 :rule quant-var-elim-eq :args ((= (forall @t163 @t239) @t236))) % 45.81/46.59 (step @p50 :rule aci_norm :args ((= @t238 @t239))) % 45.81/46.59 (step @p51 :rule cong :premises (@p50) :args (@t240)) % 45.81/46.59 (step @p52 :rule trans :premises (@p51 @p49)) % 45.81/46.59 (step @p53 :rule trans :premises (@p52 @p48)) % 45.81/46.59 (step @p54 :rule refl :args (@t228)) % 45.81/46.59 (step @p55 :rule refl :args (@t230)) % 45.81/46.59 (step @p56 :rule refl :args (@t232)) % 45.81/46.59 (step @p57 :rule nary_cong :premises (@p56 @p55 @p54 @p53) :args (@t241)) % 45.81/46.59 (step @p58 :rule trans :premises (@p57 @p44)) % 45.81/46.59 (step @p59 :rule quant-miniscope-or :args ((= (forall @t163 @t242) @t241))) % 45.81/46.59 (step @p60 :rule aci_norm :args ((= @t243 @t242))) % 45.81/46.59 (step @p61 :rule cong :premises (@p60) :args ((forall @t163 @t243))) % 45.81/46.59 (step @p62 :rule trans :premises (@p61 @p59)) % 45.81/46.59 (step @p63 :rule trans :premises (@p62 @p58)) % 45.81/46.59 (step @p64 :rule aci_norm :args ((= (or (or @t232 @t238) @t233) @t243))) % 45.81/46.59 (step @p65 :rule aci_norm :args ((= (or @t232 @t233) @t233))) % 45.81/46.59 (step @p66 :rule aci_norm :args ((= (or @t232 @t244) @t233))) % 45.81/46.59 (step @p67 :rule aci_norm :args ((= (or @t230 @t245) @t244))) % 45.81/46.59 (step @p68 :rule bool-impl-elim :args (@t229 @t245)) % 45.81/46.59 (step @p69 :rule trans :premises (@p68 @p67)) % 45.81/46.59 (step @p70 :rule refl :args (@t232)) % 45.81/46.59 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t232 @t246))) % 45.81/46.59 (step @p72 :rule trans :premises (@p71 @p66)) % 45.81/46.59 (step @p73 :rule bool-impl-elim :args (@t231 @t246)) % 45.81/46.59 (step @p74 :rule trans :premises (@p73 @p72)) % 45.81/46.59 (step @p75 :rule nary_cong :premises (@p70 @p74) :args ((or @t232 @t247))) % 45.81/46.59 (step @p76 :rule trans :premises (@p75 @p65)) % 45.81/46.59 (step @p77 :rule bool-impl-elim :args (@t231 @t247)) % 45.81/46.59 (step @p78 :rule trans :premises (@p77 @p76)) % 45.81/46.59 (step @p79 :rule bool-and-de-morgan :args (@t231 @t237 true)) % 45.81/46.59 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or (not @t249) @t248))) % 45.81/46.59 (step @p81 :rule trans :premises (@p80 @p64)) % 45.81/46.59 (step @p82 :rule bool-impl-elim :args (@t249 @t248)) % 45.81/46.59 (step @p83 :rule trans :premises (@p82 @p81)) % 45.81/46.59 (step @p84 :rule cong :premises (@p83) :args ((forall @t163 (=> @t249 @t248)))) % 45.81/46.59 (step @p85 :rule trans :premises (@p84 @p63)) % 45.81/46.59 (step @p86 :rule aci_norm :args ((= (or false @t226) @t226))) % 45.81/46.59 (step @p87 :rule refl :args (@t226)) % 45.81/46.59 (assume-push @p1325 @t257) % 45.81/46.59 (step @p89 :rule evaluate :args (@t234)) % 45.81/46.59 (step @p90 :rule evaluate :args (@t258)) % 45.81/46.59 (step @p91 :rule refl :args (1)) % 45.81/46.59 (step @p92 :rule arith_poly_norm :args ((= @t260 1))) % 45.81/46.59 (step @p93 :rule cong :premises (@p92 @p91) :args (@t261)) % 45.81/46.59 (step @p94 :rule trans :premises (@p93 @p90)) % 45.81/46.59 (step @p95 :rule cong :premises (@p94) :args ((not @t261))) % 45.81/46.59 (step @p96 :rule trans :premises (@p95 @p89)) % 45.81/46.59 (step @p97 :rule instantiate :premises (@p1325) :args ((@list @t259))) % 45.81/46.59 (step @p98 false :rule eq_resolve :premises (@p97 @p96)) % 45.81/46.59 (step-pop @p1326 :rule scope :premises (@p98)) % 45.81/46.59 (step @p99 :rule process_scope :premises (@p1326) :args (false)) % 45.81/46.59 (step @p101 :rule false_intro :premises (@p99)) % 45.81/46.59 (step @p102 :rule nary_cong :premises (@p101 @p87) :args (@t262)) % 45.81/46.59 (step @p103 :rule quant-miniscope-or :args ((= (forall @t256 @t263) @t262))) % 45.81/46.59 (step @p104 :rule aci_norm :args ((= @t264 @t263))) % 45.81/46.59 (step @p105 :rule cong :premises (@p104) :args (@t265)) % 45.81/46.59 (step @p106 :rule trans :premises (@p105 @p103 @p102 @p86)) % 45.81/46.59 (step @p107 :rule cong :premises (@p106) :args (@t266)) % 45.81/46.59 (step @p108 :rule quant-merge-prenex :args ((= @t266 @t267))) % 45.81/46.59 (step @p109 :rule symm :premises (@p108)) % 45.81/46.59 (step @p110 :rule quant_var_reordering :args ((= (forall @t268 @t264) @t267))) % 45.81/46.59 (step @p111 :rule trans :premises (@p110 @p109 @p107)) % 45.81/46.59 (step @p112 :rule aci_norm :args ((= @t270 @t264))) % 45.81/46.59 (step @p113 :rule cong :premises (@p112) :args (@t271)) % 45.81/46.59 (step @p114 :rule trans :premises (@p113 @p111)) % 45.81/46.59 (step @p115 :rule quant-merge-prenex :args ((= (forall @t149 @t273) @t271))) % 45.81/46.59 (step @p116 :rule alpha_equiv :args (@t274 (@list @t172 @t171) (@list @t56 @t275))) % 45.81/46.59 (step @p117 :rule refl :args (@t195)) % 45.81/46.59 (step @p118 :rule refl :args (@t217)) % 45.81/46.59 (step @p119 :rule refl :args (@t219)) % 45.81/46.59 (step @p120 :rule refl :args (@t255)) % 45.81/46.59 (step @p121 :rule refl :args (@t222)) % 45.81/46.59 (step @p122 :rule refl :args (@t224)) % 45.81/46.59 (step @p123 :rule refl :args (@t225)) % 45.81/46.59 (step @p124 :rule nary_cong :premises (@p123 @p122 @p121 @p120 @p119 @p118 @p117 @p116) :args (@t276)) % 45.81/46.59 (step @p125 :rule quant-miniscope-or :args ((= @t273 @t276))) % 45.81/46.59 (step @p126 :rule trans :premises (@p125 @p124)) % 45.81/46.59 (step @p127 :rule symm :premises (@p126)) % 45.81/46.59 (step @p128 :rule cong :premises (@p127) :args (@t311)) % 45.81/46.59 (step @p129 :rule trans :premises (@p128 @p115)) % 45.81/46.59 (step @p130 :rule trans :premises (@p129 @p114)) % 45.81/46.59 (step @p131 :rule nary_cong :premises (@p56 @p130) :args (@t312)) % 45.81/46.59 (step @p132 :rule quant-miniscope-or :args ((= (forall @t149 @t313) @t312))) % 45.81/46.59 (step @p133 :rule aci_norm :args ((= @t314 @t313))) % 45.81/46.59 (step @p134 :rule cong :premises (@p133) :args ((forall @t149 @t314))) % 45.81/46.59 (step @p135 :rule trans :premises (@p134 @p132)) % 45.81/46.59 (step @p136 :rule trans :premises (@p135 @p131)) % 45.81/46.59 (step @p137 :rule aci_norm :args ((= (or (or @t224 @t222) @t315) @t314))) % 45.81/46.59 (step @p138 :rule aci_norm :args ((= (or @t317 @t316) @t315))) % 45.81/46.59 (step @p139 :rule refl :args (@t316)) % 45.81/46.59 (step @p140 :rule aci_norm :args ((= (or @t225 (or @t219 (or @t255 (or @t217 @t195)))) @t317))) % 45.81/46.59 (step @p141 :rule bool-and-de-morgan :args (@t216 @t194 true)) % 45.81/46.59 (step @p142 :rule nary_cong :premises (@p120 @p141) :args ((or @t255 (not (and @t216 @t194))))) % 45.81/46.59 (step @p143 :rule bool-and-de-morgan :args (@t254 @t216 (and @t194))) % 45.81/46.59 (step @p144 :rule trans :premises (@p143 @p142)) % 45.81/46.59 (step @p145 :rule nary_cong :premises (@p119 @p144) :args ((or @t219 (not (and @t254 @t216 @t194))))) % 45.81/46.59 (step @p146 :rule bool-and-de-morgan :args (@t218 @t254 (and @t216 @t194))) % 45.81/46.59 (step @p147 :rule trans :premises (@p146 @p145)) % 45.81/46.59 (step @p148 :rule nary_cong :premises (@p123 @p147) :args ((or @t225 (not (and @t218 @t254 @t216 @t194))))) % 45.81/46.59 (step @p149 :rule bool-and-de-morgan :args (@t142 @t218 (and @t254 @t216 @t194))) % 45.81/46.59 (step @p150 :rule trans :premises (@p149 @p148)) % 45.81/46.59 (step @p151 :rule trans :premises (@p150 @p140)) % 45.81/46.59 (step @p152 :rule nary_cong :premises (@p151 @p139) :args ((or (not @t318) @t316))) % 45.81/46.59 (step @p153 :rule trans :premises (@p152 @p138)) % 45.81/46.59 (step @p154 :rule bool-impl-elim :args (@t318 @t316)) % 45.81/46.59 (step @p155 :rule trans :premises (@p154 @p153)) % 45.81/46.59 (step @p156 :rule bool-double-not-elim :args (@t222)) % 45.81/46.59 (step @p157 :rule nary_cong :premises (@p122 @p156) :args ((or @t224 (not @t319)))) % 45.81/46.59 (step @p158 :rule bool-and-de-morgan :args (@t223 @t319 true)) % 45.81/46.59 (step @p159 :rule trans :premises (@p158 @p157)) % 45.81/46.59 (step @p160 :rule nary_cong :premises (@p159 @p155) :args ((or (not @t321) @t320))) % 45.81/46.59 (step @p161 :rule trans :premises (@p160 @p137)) % 45.81/46.59 (step @p162 :rule bool-impl-elim :args (@t321 @t320)) % 45.81/46.59 (step @p163 :rule trans :premises (@p162 @p161)) % 45.81/46.59 (step @p164 :rule cong :premises (@p163) :args ((forall @t149 (=> @t321 @t320)))) % 45.81/46.59 (step @p165 :rule trans :premises (@p164 @p136)) % 45.81/46.59 (step @p166 :rule aci_norm :args ((= (or false @t307) @t307))) % 45.81/46.59 (step @p167 :rule refl :args (@t307)) % 45.81/46.59 (assume-push @p1327 @t326) % 45.81/46.59 (step @p89 :rule evaluate :args (@t234)) % 45.81/46.59 (step @p90 :rule evaluate :args (@t258)) % 45.81/46.59 (step @p91 :rule refl :args (1)) % 45.81/46.59 (step @p169 :rule arith_poly_norm :args ((= @t328 1))) % 45.81/46.59 (step @p170 :rule cong :premises (@p169 @p91) :args (@t329)) % 45.81/46.59 (step @p171 :rule trans :premises (@p170 @p90)) % 45.81/46.59 (step @p172 :rule cong :premises (@p171) :args ((not @t329))) % 45.81/46.59 (step @p173 :rule trans :premises (@p172 @p89)) % 45.81/46.59 (step @p174 :rule instantiate :premises (@p1327) :args ((@list @t327))) % 45.81/46.59 (step @p175 false :rule eq_resolve :premises (@p174 @p173)) % 45.81/46.59 (step-pop @p1328 :rule scope :premises (@p175)) % 45.81/46.59 (step @p176 :rule process_scope :premises (@p1328) :args (false)) % 45.81/46.59 (step @p178 :rule false_intro :premises (@p176)) % 45.81/46.59 (step @p179 :rule nary_cong :premises (@p178 @p167) :args (@t330)) % 45.81/46.59 (step @p180 :rule quant-miniscope-or :args ((= (forall @t325 @t331) @t330))) % 45.81/46.59 (step @p181 :rule aci_norm :args ((= @t332 @t331))) % 45.81/46.59 (step @p182 :rule cong :premises (@p181) :args (@t333)) % 45.81/46.59 (step @p183 :rule trans :premises (@p182 @p180 @p179 @p166)) % 45.81/46.59 (step @p184 :rule cong :premises (@p183) :args (@t334)) % 45.81/46.59 (step @p185 :rule quant-merge-prenex :args ((= @t334 @t335))) % 45.81/46.59 (step @p186 :rule symm :premises (@p185)) % 45.81/46.59 (step @p187 :rule quant_var_reordering :args ((= (forall @t336 @t332) @t335))) % 45.81/46.59 (step @p188 :rule trans :premises (@p187 @p186 @p184)) % 45.81/46.59 (step @p189 :rule arith_poly_norm :args ((= (* -1 (- 0 @t339)) (* -1 (- @t338 1))))) % 45.81/46.59 (step @p190 :rule arith_poly_norm_rel :premises (@p189) :args ((= (>= 0 @t339) (>= @t338 1)))) % 45.81/46.59 (step @p191 :rule arith-geq-tighten :args (@t279 0)) % 45.81/46.59 (step @p192 :rule trans :premises (@p191 @p190)) % 45.81/46.59 (step @p193 :rule symm :premises (@p192)) % 45.81/46.59 (step @p194 :rule refl :args (1)) % 45.81/46.59 (step @p195 :rule arith_poly_norm :args ((= @t340 @t338))) % 45.81/46.59 (step @p196 :rule cong :premises (@p195 @p194) :args (@t341)) % 45.81/46.59 (step @p197 :rule trans :premises (@p196 @p193)) % 45.81/46.59 (step @p198 :rule refl :args (@t281)) % 45.81/46.59 (step @p199 :rule refl :args (@t283)) % 45.81/46.59 (step @p200 :rule refl :args (@t285)) % 45.81/46.59 (step @p201 :rule refl :args (@t289)) % 45.81/46.59 (step @p202 :rule refl :args (@t291)) % 45.81/46.59 (step @p203 :rule refl :args (@t300)) % 45.81/46.59 (step @p204 :rule refl :args (@t324)) % 45.81/46.59 (step @p205 :rule refl :args (@t303)) % 45.81/46.59 (step @p206 :rule refl :args (@t306)) % 45.81/46.59 (step @p207 :rule nary_cong :premises (@p206 @p205 @p204 @p203 @p202 @p201 @p200 @p199 @p198 @p197) :args (@t342)) % 45.81/46.59 (step @p208 :rule aci_norm :args ((= @t344 @t342))) % 45.81/46.59 (step @p209 :rule trans :premises (@p208 @p207)) % 45.81/46.59 (step @p210 :rule cong :premises (@p209) :args (@t345)) % 45.81/46.59 (step @p211 :rule trans :premises (@p210 @p188)) % 45.81/46.59 (step @p212 :rule quant-merge-prenex :args ((= (forall @t110 @t347) @t345))) % 45.81/46.59 (step @p213 :rule alpha_equiv :args (@t348 (@list @t275) @t350)) % 45.81/46.59 (step @p214 :rule refl :args (@t285)) % 45.81/46.59 (step @p215 :rule refl :args (@t289)) % 45.81/46.59 (step @p216 :rule refl :args (@t291)) % 45.81/46.59 (step @p217 :rule refl :args (@t300)) % 45.81/46.59 (step @p218 :rule refl :args (@t324)) % 45.81/46.59 (step @p219 :rule refl :args (@t303)) % 45.81/46.59 (step @p220 :rule refl :args (@t306)) % 45.81/46.59 (step @p221 :rule nary_cong :premises (@p220 @p219 @p218 @p217 @p216 @p215 @p214 @p213) :args (@t351)) % 45.81/46.59 (step @p222 :rule 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arith_poly_norm :args (@t719)) % 45.81/46.59 (step @p1138 :rule arith_poly_norm_rel :premises (@p1137) :args (@t720)) % 45.81/46.59 (step @p1139 :rule symm :premises (@p1138)) % 45.81/46.59 (step @p1271 :rule eq_resolve :premises (@p1390 @p1139)) % 45.81/46.59 (step @p963 :rule evaluate :args (@t671)) % 45.81/46.59 (step @p964 :rule true_elim :premises (@p963)) % 45.81/46.59 (step @p1272 :rule and_intro :premises (@p964 @p1271)) % 45.81/46.59 (step @p1273 :rule modus_ponens :premises (@p1272 @p1136)) % 45.81/46.59 (step @p1129 :rule arith_poly_norm :args (@t716)) % 45.81/46.59 (step @p1130 :rule arith_poly_norm_rel :premises (@p1129) :args (@t717)) % 45.81/46.59 (step @p1131 :rule symm :premises (@p1130)) % 45.81/46.59 (step @p1132 :rule eq_resolve :premises (@p1101 @p1131)) % 45.81/46.59 (step @p1133 :rule arith_mult_neg :args (-1 @t526)) % 45.81/46.59 (step @p1134 :rule and_intro :premises (@p964 @p802)) % 45.81/46.59 (step @p1135 :rule modus_ponens :premises (@p1134 @p1133)) % 45.81/46.59 (step @p1274 :rule arith_sum_ub :premises (@p1135 @p1132 @p1273 @p1270)) % 45.81/46.59 (step @p1275 false :rule eq_resolve :premises (@p1274 @p1266)) % 45.81/46.59 (step-pop @p1394 :rule scope :premises (@p1275)) % 45.81/46.59 (step @p1276 :rule process_scope :premises (@p1394) :args (false)) % 45.81/46.59 (step @p1278 :rule eq_resolve :premises (@p1276 @p1258)) % 45.81/46.59 (step @p1279 :rule eq_resolve :premises (@p1278 @p1257)) % 45.81/46.59 (step @p1280 false :rule contra :premises (@p802 @p1279)) % 45.81/46.59 (step-pop @p1395 :rule scope :premises (@p1280)) % 45.81/46.59 (step-pop @p1396 :rule scope :premises (@p1395)) % 45.81/46.59 (step-pop @p1397 :rule scope :premises (@p1396)) % 45.81/46.59 (step-pop @p1398 :rule scope :premises (@p1397)) % 45.81/46.59 (step @p1281 :rule process_scope :premises (@p1398) :args (false)) % 45.81/46.59 (assume-push @p1399 @t526) % 45.81/46.59 (assume-push @p1400 @t740) % 45.81/46.59 (assume-push @p1401 @t686) % 45.81/46.59 (assume-push @p1402 @t623) % 45.81/46.59 (assume-push @p1403 @t729) % 45.81/46.59 (assume-push @p1404 @t747) % 45.81/46.59 (step @p1292 :rule cong :premises (@p1404) :args (@t518)) % 45.81/46.59 (step @p1293 :rule cong :premises (@p662 @p662 @p1099 @p1292) :args (@t543)) % 45.81/46.59 (step @p1294 :rule cong :premises (@p1293) :args (@t544)) % 45.81/46.59 (step-pop @p1405 :rule scope :premises (@p1294)) % 45.81/46.59 (step @p1295 :rule process_scope :premises (@p1405) :args (@t744)) % 45.81/46.59 (assume-push @p1406 @t686) % 45.81/46.59 (assume-push @p1407 @t729) % 45.81/46.59 (step @p1299 :rule arith_poly_norm :args ((= (* 1 (- @t685 0)) (* 1 (- @t517 @t513))))) % 45.81/46.59 (step @p1300 :rule arith_poly_norm_rel :premises (@p1299) :args ((= (= @t685 0) @t747))) % 45.81/46.59 (step @p1301 :rule arith-elim-lt :args (@t685 1)) % 45.81/46.59 (step @p1302 :rule symm :premises (@p1301)) % 45.81/46.59 (step @p1303 :rule eq_resolve :premises (@p1403 @p1302)) % 45.81/46.59 (step @p1304 :rule int_tight_ub :premises (@p1303)) % 45.81/46.59 (step @p1305 :rule arith_trichotomy :premises (@p1401 @p1304)) % 45.81/46.59 (step @p1306 :rule eq_resolve :premises (@p1305 @p1300)) % 45.81/46.59 (step-pop @p1408 :rule scope :premises (@p1306)) % 45.81/46.59 (step-pop @p1409 :rule scope :premises (@p1408)) % 45.81/46.59 (step @p1307 :rule process_scope :premises (@p1409) :args (@t747)) % 45.81/46.59 (step @p1310 :rule and_intro :premises (@p1401 @p1403)) % 45.81/46.59 (step @p1311 :rule modus_ponens :premises (@p1310 @p1307)) % 45.81/46.59 (step @p1312 :rule modus_ponens :premises (@p1311 @p1295)) % 45.81/46.59 (step @p1313 :rule and_intro :premises (@p1312 @p1402 @p1101 @p802)) % 45.81/46.59 (step-pop @p1410 :rule scope :premises (@p1313)) % 45.81/46.59 (step-pop @p1411 :rule scope :premises (@p1410)) % 45.81/46.59 (step-pop @p1412 :rule scope :premises (@p1411)) % 45.81/46.59 (step-pop @p1413 :rule scope :premises (@p1412)) % 45.81/46.59 (step-pop @p1414 :rule scope :premises (@p1413)) % 45.81/46.59 (step @p1314 :rule process_scope :premises (@p1414) :args (@t748)) % 45.81/46.59 (step @p1320 :rule implies_elim :premises (@p1314)) % 45.81/46.59 (step @p1321 :rule resolution :premises (@p1320 @p1281) :args (true @t748)) % 45.81/46.59 (step @p1322 :rule not_and :premises (@p1321)) % 45.81/46.59 (step @p1323 :rule eq_resolve :premises (@p1322 @p1252)) % 45.81/46.59 (step @p1324 false :rule chain_m_resolution :premises (@p1323 @p1248 @p1165 @p1054 @p806 @p802) :args (false (@list true false false false false) (@list @t728 @t686 @t623 @t740 @t526))) % 45.81/46.59 ) % 45.81/46.59 % SZS output end Proof % 45.81/46.59 % cvc5 exiting %------------------------------------------------------------------------------