%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW576_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 09:05:16 AM UTC 2026 % Result : Theorem 105.96s 106.29s % Output : Proof 105.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWW576_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 % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 22:17:03 EDT 2026 % 0.08/0.26 % CPUTime : % 0.15/0.34 %----Proving TF0_ARI % 105.96/106.29 --- Run --finite-model-find --decision=internal at 45... % 105.96/106.29 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 105.96/106.29 --- Run --no-e-matching --full-saturate-quant at 45... % 105.96/106.29 % SZS status Theorem % 105.96/106.29 % SZS output start Proof % 105.96/106.29 ( % 105.96/106.29 (declare-sort tptp.tuple02 0) % 105.96/106.29 (declare-sort tptp.bool1 0) % 105.96/106.29 (declare-sort tptp.map_int_int 0) % 105.96/106.29 (declare-sort tptp.ty 0) % 105.96/106.29 (declare-sort tptp.uni 0) % 105.96/106.29 (declare-const tptp.inv_l21 (-> tptp.map_int_int Int Int Bool)) % 105.96/106.29 (declare-const tptp.mk_ref (-> tptp.ty tptp.uni tptp.uni)) % 105.96/106.29 (declare-const tptp.set2 (-> tptp.map_int_int Int Int tptp.map_int_int)) % 105.96/106.29 (declare-const tptp.const (-> tptp.ty tptp.ty tptp.uni tptp.uni)) % 105.96/106.29 (declare-const tptp.tb2t1 (-> tptp.uni Int)) % 105.96/106.29 (declare-const tptp.t2tb (-> tptp.map_int_int tptp.uni)) % 105.96/106.29 (declare-const tptp.match_bool1 (-> tptp.ty tptp.bool1 tptp.uni tptp.uni tptp.uni)) % 105.96/106.29 (declare-const tptp.ref (-> tptp.ty tptp.ty)) % 105.96/106.29 (declare-const tptp.get (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni)) % 105.96/106.29 (declare-const tptp.a1 Int) % 105.96/106.29 (declare-const tptp.sort1 (-> tptp.ty tptp.uni Bool)) % 105.96/106.29 (declare-const tptp.tb2t (-> tptp.uni tptp.map_int_int)) % 105.96/106.29 (declare-const tptp.true1 tptp.bool1) % 105.96/106.29 (declare-const tptp.false1 tptp.bool1) % 105.96/106.29 (declare-const tptp.map (-> tptp.ty tptp.ty tptp.ty)) % 105.96/106.29 (declare-const tptp.contents (-> tptp.ty tptp.uni tptp.uni)) % 105.96/106.29 (declare-const tptp.tuple03 tptp.tuple02) % 105.96/106.29 (declare-const tptp.set (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 105.96/106.29 (declare-const tptp.separation1 (-> Int Bool)) % 105.96/106.29 (declare-const tptp.witness1 (-> tptp.ty tptp.uni)) % 105.96/106.29 (declare-const tptp.int tptp.ty) % 105.96/106.29 (declare-const tptp.inv1 (-> tptp.map_int_int Bool)) % 105.96/106.29 (declare-const tptp.t2tb1 (-> Int tptp.uni)) % 105.96/106.29 (define @t1 () (@var "A" tptp.ty)) % 105.96/106.29 (define @t2 () (@var "X2" tptp.uni)) % 105.96/106.29 (define @t3 () (@var "X1" tptp.uni)) % 105.96/106.29 (define @t4 () (@var "X" tptp.bool1)) % 105.96/106.29 (define @t5 () (@var "Z" tptp.uni)) % 105.96/106.29 (define @t6 () (@var "Z1" tptp.uni)) % 105.96/106.29 (define @t7 () (@list @t1 @t5 @t6)) % 105.96/106.29 (define @t8 () (@var "U" tptp.bool1)) % 105.96/106.29 (define @t9 () (@var "U" tptp.tuple02)) % 105.96/106.29 (define @t10 () (@var "Z" Int)) % 105.96/106.29 (define @t11 () (@var "Y" Int)) % 105.96/106.29 (define @t12 () (@var "X" Int)) % 105.96/106.29 (define @t13 () (@var "X" tptp.uni)) % 105.96/106.29 (define @t14 () (@var "B" tptp.ty)) % 105.96/106.29 (define @t15 () (tptp.map @t1 @t14)) % 105.96/106.29 (define @t16 () (@var "X" tptp.map_int_int)) % 105.96/106.29 (define @t17 () (@var "I" tptp.map_int_int)) % 105.96/106.29 (define @t18 () (@var "J" tptp.uni)) % 105.96/106.29 (define @t19 () (@list @t18)) % 105.96/106.29 (define @t20 () (@var "I" Int)) % 105.96/106.29 (define @t21 () (@var "B" Int)) % 105.96/106.29 (define @t22 () (@var "A2" Int)) % 105.96/106.29 (define @t23 () (tptp.t2tb1 @t22)) % 105.96/106.29 (define @t24 () (@var "A1" Int)) % 105.96/106.29 (define @t25 () (@var "M" tptp.map_int_int)) % 105.96/106.29 (define @t26 () (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb (tptp.set2 @t25 @t24 @t21)) @t23))) % 105.96/106.29 (define @t27 () (= @t26 @t21)) % 105.96/106.29 (define @t28 () (= @t24 @t22)) % 105.96/106.29 (define @t29 () (=> @t28 @t27)) % 105.96/106.29 (define @t30 () (@list @t25 @t24 @t22 @t21)) % 105.96/106.29 (define @t31 () (forall @t30 @t29)) % 105.96/106.29 (define @t32 () (@var "B1" tptp.uni)) % 105.96/106.29 (define @t33 () (@var "A2" tptp.uni)) % 105.96/106.29 (define @t34 () (@var "A1" tptp.uni)) % 105.96/106.29 (define @t35 () (@var "M" tptp.uni)) % 105.96/106.29 (define @t36 () (tptp.get @t14 @t1 (tptp.set @t14 @t1 @t35 @t34 @t32) @t33)) % 105.96/106.29 (define @t37 () (= @t34 @t33)) % 105.96/106.29 (define @t38 () (tptp.sort1 @t14 @t32)) % 105.96/106.29 (define @t39 () (= @t26 (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb @t25) @t23)))) % 105.96/106.29 (define @t40 () (not @t28)) % 105.96/106.29 (define @t41 () (forall @t30 (=> @t40 @t39))) % 105.96/106.29 (define @t42 () (tptp.ref @t1)) % 105.96/106.29 (define @t43 () (@list @t1 @t13)) % 105.96/106.29 (define @t44 () (@var "U" tptp.uni)) % 105.96/106.29 (define @t45 () (@list @t1 @t44)) % 105.96/106.29 (define @t46 () (@var "Fp" Int)) % 105.96/106.29 (define @t47 () (- @t46 24)) % 105.96/106.29 (define @t48 () (+ tptp.a1 10)) % 105.96/106.29 (define @t49 () (tptp.separation1 @t46)) % 105.96/106.29 (define @t50 () (= @t49 (< @t48 @t47))) % 105.96/106.29 (define @t51 () (forall (@list @t46) @t50)) % 105.96/106.29 (define @t52 () (@var "K" Int)) % 105.96/106.29 (define @t53 () (tptp.t2tb1 (+ tptp.a1 @t52))) % 105.96/106.29 (define @t54 () (@var "Mem" tptp.map_int_int)) % 105.96/106.29 (define @t55 () (tptp.t2tb @t54)) % 105.96/106.29 (define @t56 () (tptp.tb2t1 (tptp.get tptp.int tptp.int @t55 @t53))) % 105.96/106.29 (define @t57 () (and (<= 1 @t52) (<= @t52 10))) % 105.96/106.29 (define @t58 () (=> @t57 (< 0 @t56))) % 105.96/106.29 (define @t59 () (@list @t52)) % 105.96/106.29 (define @t60 () (forall @t59 @t58)) % 105.96/106.29 (define @t61 () (tptp.t2tb1 tptp.a1)) % 105.96/106.29 (define @t62 () (= (tptp.tb2t1 (tptp.get tptp.int tptp.int @t55 @t61)) 0)) % 105.96/106.29 (define @t63 () (and @t62 @t60)) % 105.96/106.29 (define @t64 () (tptp.inv1 @t54)) % 105.96/106.29 (define @t65 () (= @t64 @t63)) % 105.96/106.29 (define @t66 () (forall (@list @t54) @t65)) % 105.96/106.29 (define @t67 () (- @t46 16)) % 105.96/106.29 (define @t68 () (tptp.t2tb1 @t67)) % 105.96/106.29 (define @t69 () (tptp.get tptp.int tptp.int @t55 @t68)) % 105.96/106.29 (define @t70 () (tptp.tb2t1 @t69)) % 105.96/106.29 (define @t71 () (- @t70 2)) % 105.96/106.29 (define @t72 () (@var "L4" Int)) % 105.96/106.29 (define @t73 () (= @t72 @t71)) % 105.96/106.29 (define @t74 () (<= @t70 11)) % 105.96/106.29 (define @t75 () (<= 2 @t70)) % 105.96/106.29 (define @t76 () (and @t75 @t74 @t73 @t64)) % 105.96/106.29 (define @t77 () (tptp.inv_l21 @t54 @t46 @t72)) % 105.96/106.29 (define @t78 () (= @t77 @t76)) % 105.96/106.29 (define @t79 () (@list @t54 @t46 @t72)) % 105.96/106.29 (define @t80 () (forall @t79 @t78)) % 105.96/106.29 (define @t81 () (@var "Mem1" tptp.map_int_int)) % 105.96/106.29 (define @t82 () (tptp.inv_l21 @t81 @t46 @t72)) % 105.96/106.29 (define @t83 () (@var "R3" Int)) % 105.96/106.29 (define @t84 () (tptp.set2 @t54 @t67 @t83)) % 105.96/106.29 (define @t85 () (= @t81 @t84)) % 105.96/106.29 (define @t86 () (=> @t85 @t82)) % 105.96/106.29 (define @t87 () (@list @t81)) % 105.96/106.29 (define @t88 () (forall @t87 @t86)) % 105.96/106.29 (define @t89 () (= @t83 2)) % 105.96/106.29 (define @t90 () (=> @t89 @t88)) % 105.96/106.29 (define @t91 () (@list @t83)) % 105.96/106.29 (define @t92 () (forall @t91 @t90)) % 105.96/106.29 (define @t93 () (@var "L7" Int)) % 105.96/106.29 (define @t94 () (= @t93 0)) % 105.96/106.29 (define @t95 () (=> @t94 @t92)) % 105.96/106.29 (define @t96 () (@list @t93)) % 105.96/106.29 (define @t97 () (forall @t96 @t95)) % 105.96/106.29 (define @t98 () (= @t72 0)) % 105.96/106.29 (define @t99 () (=> @t98 @t97)) % 105.96/106.29 (define @t100 () (@list @t72)) % 105.96/106.29 (define @t101 () (forall @t100 @t99)) % 105.96/106.29 (define @t102 () (and @t49 @t64)) % 105.96/106.29 (define @t103 () (=> @t102 @t101)) % 105.96/106.29 (define @t104 () (@list @t46 @t54)) % 105.96/106.29 (define @t105 () (forall @t104 @t103)) % 105.96/106.29 (define @t106 () (not @t105)) % 105.96/106.29 (define @t107 () (+ -16 @t46)) % 105.96/106.29 (define @t108 () (tptp.set2 @t54 @t107 2)) % 105.96/106.29 (define @t109 () (tptp.inv_l21 @t108 @t46 0)) % 105.96/106.29 (define @t110 () (not @t64)) % 105.96/106.29 (define @t111 () (not @t49)) % 105.96/106.29 (define @t112 () (or @t111 @t110 @t109)) % 105.96/106.29 (define @t113 () (forall @t104 @t112)) % 105.96/106.29 (define @t114 () (@quantifiers_skolemize @t113 0)) % 105.96/106.29 (define @t115 () (+ -16 @t114)) % 105.96/106.29 (define @t116 () (@quantifiers_skolemize @t113 1)) % 105.96/106.29 (define @t117 () (tptp.set2 @t116 @t115 2)) % 105.96/106.29 (define @t118 () (tptp.t2tb @t117)) % 105.96/106.29 (define @t119 () (tptp.tb2t1 (tptp.get tptp.int tptp.int @t118 @t61))) % 105.96/106.29 (define @t120 () (tptp.t2tb @t116)) % 105.96/106.29 (define @t121 () (tptp.tb2t1 (tptp.get tptp.int tptp.int @t120 @t61))) % 105.96/106.29 (define @t122 () (= @t121 @t119)) % 105.96/106.29 (define @t123 () (= @t119 @t121)) % 105.96/106.29 (define @t124 () (- tptp.a1 @t115)) % 105.96/106.29 (define @t125 () (= tptp.a1 @t115)) % 105.96/106.29 (define @t126 () (= @t115 tptp.a1)) % 105.96/106.29 (define @t127 () (or @t126 @t123)) % 105.96/106.29 (define @t128 () (forall @t30 (or @t28 @t39))) % 105.96/106.29 (define @t129 () (or @t125 @t122)) % 105.96/106.29 (define @t130 () (@list false)) % 105.96/106.29 (define @t131 () (@list @t128)) % 105.96/106.29 (define @t132 () (+ tptp.a1 (* -1 @t46))) % 105.96/106.29 (define @t133 () (+ -24 @t46)) % 105.96/106.29 (define @t134 () (+ 10 tptp.a1)) % 105.96/106.29 (define @t135 () (* -1 24)) % 105.96/106.29 (define @t136 () (+ @t46 @t135)) % 105.96/106.29 (define @t137 () (>= @t48 @t47)) % 105.96/106.29 (define @t138 () (= 0 0)) % 105.96/106.29 (define @t139 () (not @t138)) % 105.96/106.29 (define @t140 () (or @t139 @t109)) % 105.96/106.29 (define @t141 () (tptp.inv_l21 @t108 @t46 @t72)) % 105.96/106.29 (define @t142 () (not @t98)) % 105.96/106.29 (define @t143 () (or @t142 @t142 @t141)) % 105.96/106.29 (define @t144 () (or @t142 @t141)) % 105.96/106.29 (define @t145 () (not @t94)) % 105.96/106.29 (define @t146 () (or @t145 @t145)) % 105.96/106.29 (define @t147 () (forall @t96 @t145)) % 105.96/106.29 (define @t148 () (or @t141 @t147)) % 105.96/106.29 (define @t149 () (or @t141 @t145)) % 105.96/106.29 (define @t150 () (or @t145 @t141)) % 105.96/106.29 (define @t151 () (= 2 2)) % 105.96/106.29 (define @t152 () (not @t151)) % 105.96/106.29 (define @t153 () (or @t152 @t141)) % 105.96/106.29 (define @t154 () (tptp.set2 @t54 @t107 @t83)) % 105.96/106.29 (define @t155 () (tptp.inv_l21 @t154 @t46 @t72)) % 105.96/106.29 (define @t156 () (not @t89)) % 105.96/106.29 (define @t157 () (or @t156 @t156 @t155)) % 105.96/106.29 (define @t158 () (or @t156 @t155)) % 105.96/106.29 (define @t159 () (not (= @t154 @t154))) % 105.96/106.29 (define @t160 () (or @t159 @t155)) % 105.96/106.29 (define @t161 () (= @t81 @t154)) % 105.96/106.29 (define @t162 () (not @t161)) % 105.96/106.29 (define @t163 () (or @t162 @t162 @t82)) % 105.96/106.29 (define @t164 () (or @t162 @t82)) % 105.96/106.29 (define @t165 () (* -1 16)) % 105.96/106.29 (define @t166 () (+ @t46 @t165)) % 105.96/106.29 (define @t167 () (tptp.separation1 @t114)) % 105.96/106.29 (define @t168 () (tptp.inv_l21 @t117 @t114 0)) % 105.96/106.29 (define @t169 () (tptp.inv1 @t116)) % 105.96/106.29 (define @t170 () (not @t169)) % 105.96/106.29 (define @t171 () (not @t167)) % 105.96/106.29 (define @t172 () (or @t171 @t170 @t168)) % 105.96/106.29 (define @t173 () (@list true)) % 105.96/106.29 (define @t174 () (@list @t172)) % 105.96/106.29 (define @t175 () (* -1 @t114)) % 105.96/106.29 (define @t176 () (+ tptp.a1 @t175)) % 105.96/106.29 (define @t177 () (>= @t176 -34)) % 105.96/106.29 (define @t178 () (not @t177)) % 105.96/106.29 (define @t179 () (= @t167 @t178)) % 105.96/106.29 (define @t180 () (@list false false)) % 105.96/106.29 (define @t181 () (not @t125)) % 105.96/106.29 (define @t182 () (not @t178)) % 105.96/106.29 (define @t183 () (= @t176 -16)) % 105.96/106.29 (define @t184 () (* -1 -16)) % 105.96/106.29 (define @t185 () (+ @t184 -35)) % 105.96/106.29 (define @t186 () (* 0 tptp.a1)) % 105.96/106.29 (define @t187 () (= @t186 0)) % 105.96/106.29 (define @t188 () (* 0 @t114)) % 105.96/106.29 (define @t189 () (= @t188 0)) % 105.96/106.29 (define @t190 () (+ @t188 @t186)) % 105.96/106.29 (define @t191 () (+ (* -1 @t176) @t176)) % 105.96/106.29 (define @t192 () (< -1 0)) % 105.96/106.29 (define @t193 () (@list true false)) % 105.96/106.29 (define @t194 () (>= @t56 1)) % 105.96/106.29 (define @t195 () (>= @t52 11)) % 105.96/106.29 (define @t196 () (>= @t52 1)) % 105.96/106.29 (define @t197 () (not @t196)) % 105.96/106.29 (define @t198 () (not @t195)) % 105.96/106.29 (define @t199 () (and @t196 @t198)) % 105.96/106.29 (define @t200 () (+ @t56 1)) % 105.96/106.29 (define @t201 () (>= 0 @t56)) % 105.96/106.29 (define @t202 () (+ 10 1)) % 105.96/106.29 (define @t203 () (>= @t52 @t202)) % 105.96/106.29 (define @t204 () (forall @t59 (or @t197 @t195 (>= (tptp.tb2t1 (tptp.get tptp.int tptp.int @t120 @t53)) 1)))) % 105.96/106.29 (define @t205 () (= @t121 0)) % 105.96/106.29 (define @t206 () (and @t205 @t204)) % 105.96/106.29 (define @t207 () (= @t169 @t206)) % 105.96/106.29 (define @t208 () (not @t206)) % 105.96/106.29 (define @t209 () (@list @t206)) % 105.96/106.29 (define @t210 () (= @t119 0)) % 105.96/106.29 (define @t211 () (and @t205 @t122)) % 105.96/106.29 (define @t212 () (= @t21 (tptp.tb2t1 (tptp.get tptp.int tptp.int (tptp.t2tb (tptp.set2 @t25 @t22 @t21)) @t23)))) % 105.96/106.29 (define @t213 () (not (= @t22 @t22))) % 105.96/106.29 (define @t214 () (or @t213 @t212)) % 105.96/106.29 (define @t215 () (@list @t25 @t22 @t21)) % 105.96/106.29 (define @t216 () (= @t21 @t26)) % 105.96/106.29 (define @t217 () (or @t40 @t40 @t216)) % 105.96/106.29 (define @t218 () (@list @t24)) % 105.96/106.29 (define @t219 () (or @t40 @t216)) % 105.96/106.29 (define @t220 () (forall @t218 @t219)) % 105.96/106.29 (define @t221 () (forall @t215 @t220)) % 105.96/106.29 (define @t222 () (forall (@list @t25 @t22 @t21 @t24) @t219)) % 105.96/106.29 (define @t223 () (tptp.tb2t1 (tptp.get tptp.int tptp.int @t118 (tptp.t2tb1 @t115)))) % 105.96/106.29 (define @t224 () (* 2 (- @t223 2))) % 105.96/106.29 (define @t225 () (= @t223 2)) % 105.96/106.29 (define @t226 () (= 2 @t223)) % 105.96/106.29 (define @t227 () (forall @t215 @t212)) % 105.96/106.29 (define @t228 () (>= @t223 2)) % 105.96/106.29 (define @t229 () (not @t225)) % 105.96/106.29 (define @t230 () (not @t228)) % 105.96/106.29 (define @t231 () (+ 1 1)) % 105.96/106.29 (define @t232 () (>= @t223 @t231)) % 105.96/106.29 (define @t233 () (<= @t223 1)) % 105.96/106.29 (define @t234 () (* -1 2)) % 105.96/106.29 (define @t235 () (+ 1 @t234)) % 105.96/106.29 (define @t236 () (* -1 @t223)) % 105.96/106.29 (define @t237 () (+ @t223 @t236)) % 105.96/106.29 (define @t238 () (and @t230 @t225)) % 105.96/106.29 (define @t239 () (@list @t225)) % 105.96/106.29 (define @t240 () (tptp.tb2t1 (tptp.get tptp.int tptp.int @t55 (tptp.t2tb1 @t107)))) % 105.96/106.29 (define @t241 () (+ -2 @t240)) % 105.96/106.29 (define @t242 () (+ @t70 @t234)) % 105.96/106.29 (define @t243 () (+ 11 1)) % 105.96/106.29 (define @t244 () (>= @t240 @t243)) % 105.96/106.29 (define @t245 () (tptp.inv1 @t117)) % 105.96/106.29 (define @t246 () (+ -2 @t223)) % 105.96/106.29 (define @t247 () (= 0 @t246)) % 105.96/106.29 (define @t248 () (>= @t223 12)) % 105.96/106.29 (define @t249 () (not @t248)) % 105.96/106.29 (define @t250 () (and @t228 @t249 @t247 @t245)) % 105.96/106.29 (define @t251 () (= @t168 @t250)) % 105.96/106.29 (define @t252 () (forall @t79 (= @t77 (and (>= @t240 2) (not (>= @t240 12)) (= @t72 @t241) @t64)))) % 105.96/106.29 (define @t253 () (and @t228 @t249 @t225 @t245)) % 105.96/106.29 (define @t254 () (= @t168 @t253)) % 105.96/106.29 (define @t255 () (not @t253)) % 105.96/106.29 (define @t256 () (* -1 12)) % 105.96/106.29 (define @t257 () (+ @t256 2)) % 105.96/106.29 (define @t258 () (+ @t236 @t223)) % 105.96/106.29 (define @t259 () (not @t245)) % 105.96/106.29 (define @t260 () (forall @t59 (or @t197 @t195 (>= (tptp.tb2t1 (tptp.get tptp.int tptp.int @t118 @t53)) 1)))) % 105.96/106.29 (define @t261 () (and @t210 @t260)) % 105.96/106.29 (define @t262 () (= @t245 @t261)) % 105.96/106.29 (define @t263 () (not @t261)) % 105.96/106.29 (define @t264 () (not @t260)) % 105.96/106.29 (define @t265 () (@quantifiers_skolemize @t260 0)) % 105.96/106.29 (define @t266 () (+ tptp.a1 @t265)) % 105.96/106.29 (define @t267 () (tptp.t2tb1 @t266)) % 105.96/106.29 (define @t268 () (tptp.tb2t1 (tptp.get tptp.int tptp.int @t118 @t267))) % 105.96/106.29 (define @t269 () (>= @t268 1)) % 105.96/106.29 (define @t270 () (>= @t265 11)) % 105.96/106.29 (define @t271 () (>= @t265 1)) % 105.96/106.29 (define @t272 () (not @t271)) % 105.96/106.29 (define @t273 () (or @t272 @t270 @t269)) % 105.96/106.29 (define @t274 () (not @t273)) % 105.96/106.29 (define @t275 () (not @t269)) % 105.96/106.29 (define @t276 () (@list @t273)) % 105.96/106.29 (define @t277 () (not @t270)) % 105.96/106.29 (define @t278 () (tptp.tb2t1 (tptp.get tptp.int tptp.int @t120 @t267))) % 105.96/106.29 (define @t279 () (>= @t278 1)) % 105.96/106.29 (define @t280 () (or @t272 @t270 @t279)) % 105.96/106.29 (define @t281 () (= @t268 @t278)) % 105.96/106.29 (define @t282 () (+ -16 @t114 (* -1 @t265))) % 105.96/106.29 (define @t283 () (- tptp.a1 @t282)) % 105.96/106.29 (define @t284 () (= tptp.a1 @t282)) % 105.96/106.29 (define @t285 () (= @t115 @t266)) % 105.96/106.29 (define @t286 () (or @t285 @t281)) % 105.96/106.29 (define @t287 () (or @t284 @t281)) % 105.96/106.29 (define @t288 () (not @t284)) % 105.96/106.29 (define @t289 () (< @t265 11)) % 105.96/106.29 (define @t290 () (+ 11 @t184 -34)) % 105.96/106.29 (define @t291 () (* 0 @t265)) % 105.96/106.29 (define @t292 () (+ @t291 @t188 @t186)) % 105.96/106.29 (define @t293 () (+ tptp.a1 @t175 @t265)) % 105.96/106.29 (define @t294 () (+ @t265 (* -1 @t293) @t176)) % 105.96/106.29 (define @t295 () (>= @t294 @t290)) % 105.96/106.29 (define @t296 () (= @t293 -16)) % 105.96/106.29 (define @t297 () (and @t178 @t284 @t277)) % 105.96/106.29 (define @t298 () (not @t281)) % 105.96/106.29 (define @t299 () (not @t279)) % 105.96/106.29 (define @t300 () (* -1 @t278)) % 105.96/106.29 (define @t301 () (+ @t268 @t300)) % 105.96/106.29 (define @t302 () (= @t301 0)) % 105.96/106.29 (define @t303 () (* -1 1)) % 105.96/106.29 (define @t304 () (* -1 0)) % 105.96/106.29 (define @t305 () (+ @t304 @t303 1)) % 105.96/106.29 (define @t306 () (+ (* -1 @t268) @t278)) % 105.96/106.29 (define @t307 () (* -1 @t301)) % 105.96/106.29 (define @t308 () (+ @t307 @t300 @t268)) % 105.96/106.29 (define @t309 () (>= @t308 @t305)) % 105.96/106.29 (assume @p1 (forall (@list @t1) (tptp.sort1 @t1 (tptp.witness1 @t1)))) % 105.96/106.29 (assume @p2 (forall (@list @t1 @t4 @t3 @t2) (tptp.sort1 @t1 (tptp.match_bool1 @t1 @t4 @t3 @t2)))) % 105.96/106.29 (assume @p3 (forall @t7 (=> (tptp.sort1 @t1 @t5) (= (tptp.match_bool1 @t1 tptp.true1 @t5 @t6) @t5)))) % 105.96/106.29 (assume @p4 (forall @t7 (=> (tptp.sort1 @t1 @t6) (= (tptp.match_bool1 @t1 tptp.false1 @t5 @t6) @t6)))) % 105.96/106.29 (assume @p5 (not (= tptp.true1 tptp.false1))) % 105.96/106.29 (assume @p6 (forall (@list @t8) (or (= @t8 tptp.true1) (= @t8 tptp.false1)))) % 105.96/106.29 (assume @p7 (forall (@list @t9) (= @t9 tptp.tuple03))) % 105.96/106.29 (assume @p8 (forall (@list @t12 @t11 @t10) (=> (<= @t12 @t11) (=> (<= 0 @t10) (<= (* @t12 @t10) (* @t11 @t10)))))) % 105.96/106.29 (assume @p9 (forall (@list @t1 @t14 @t13 @t3) (tptp.sort1 @t14 (tptp.get @t14 @t1 @t13 @t3)))) % 105.96/106.29 (assume @p10 (forall (@list @t1 @t14 @t13 @t3 @t2) (tptp.sort1 @t15 (tptp.set @t14 @t1 @t13 @t3 @t2)))) % 105.96/106.29 (assume @p11 (forall (@list @t16) (tptp.sort1 (tptp.map tptp.int tptp.int) (tptp.t2tb @t16)))) % 105.96/106.29 (assume @p12 (forall (@list @t17) (= (tptp.tb2t (tptp.t2tb @t17)) @t17))) % 105.96/106.29 (assume @p13 (forall @t19 (= (tptp.t2tb (tptp.tb2t @t18)) @t18))) % 105.96/106.29 (assume @p14 (forall (@list @t12) (tptp.sort1 tptp.int (tptp.t2tb1 @t12)))) % 105.96/106.29 (assume @p15 (forall (@list @t20) (= (tptp.tb2t1 (tptp.t2tb1 @t20)) @t20))) % 105.96/106.29 (assume @p16 (forall @t19 (= (tptp.t2tb1 (tptp.tb2t1 @t18)) @t18))) % 105.96/106.29 (assume @p17 @t31) % 105.96/106.29 (assume @p18 (forall (@list @t1 @t14 @t35 @t34 @t33 @t32) (=> @t38 (=> @t37 (= @t36 @t32))))) % 105.96/106.29 (assume @p19 @t41) % 105.96/106.29 (assume @p20 (forall (@list @t1 @t14 @t35 @t34 @t33) (=> (tptp.sort1 @t1 @t34) (=> (tptp.sort1 @t1 @t33) (forall (@list @t32) (=> (not @t37) (= @t36 (tptp.get @t14 @t1 @t35 @t33)))))))) % 105.96/106.29 (assume @p21 (forall (@list @t1 @t14 @t13) (tptp.sort1 @t15 (tptp.const @t14 @t1 @t13)))) % 105.96/106.29 (assume @p22 (forall (@list @t1 @t14 @t32 @t34) (=> @t38 (= (tptp.get @t14 @t1 (tptp.const @t14 @t1 @t32) @t34) @t32)))) % 105.96/106.29 (assume @p23 (forall @t43 (tptp.sort1 @t42 (tptp.mk_ref @t1 @t13)))) % 105.96/106.29 (assume @p24 (forall @t43 (tptp.sort1 @t1 (tptp.contents @t1 @t13)))) % 105.96/106.29 (assume @p25 (forall @t45 (=> (tptp.sort1 @t1 @t44) (= (tptp.contents @t1 (tptp.mk_ref @t1 @t44)) @t44)))) % 105.96/106.29 (assume @p26 (forall @t45 (=> (tptp.sort1 @t42 @t44) (= @t44 (tptp.mk_ref @t1 (tptp.contents @t1 @t44)))))) % 105.96/106.29 (assume @p27 @t51) % 105.96/106.29 (assume @p28 @t66) % 105.96/106.29 (assume @p29 @t80) % 105.96/106.29 (assume @p30 @t106) % 105.96/106.29 (assume @p31 true) % 105.96/106.29 (step @p32 :rule refl :args (@t39)) % 105.96/106.29 (step @p33 :rule bool-double-not-elim :args (@t28)) % 105.96/106.29 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or (not @t40) @t39))) % 105.96/106.29 (step @p35 :rule bool-impl-elim :args (@t40 @t39)) % 105.96/106.29 (step @p36 :rule trans :premises (@p35 @p34)) % 105.96/106.29 (step @p37 :rule cong :premises (@p36) :args (@t41)) % 105.96/106.29 (step @p38 :rule eq_resolve :premises (@p19 @p37)) % 105.96/106.29 (step @p39 :rule arith_poly_norm :args ((= (* 1 (- @t119 @t121)) (* -1 (- @t121 @t119))))) % 105.96/106.29 (step @p40 :rule arith_poly_norm_rel :premises (@p39) :args ((= @t123 @t122))) % 105.96/106.29 (step @p41 :rule arith_poly_norm :args ((= (* 16 (- @t115 tptp.a1)) (* -16 @t124)))) % 105.96/106.29 (step @p42 :rule arith_poly_norm_rel :premises (@p41) :args ((= @t126 @t125))) % 105.96/106.29 (step @p43 :rule nary_cong :premises (@p42 @p40) :args (@t127)) % 105.96/106.29 (step @p44 :rule refl :args (@t128)) % 105.96/106.29 (step @p45 :rule cong :premises (@p44 @p43) :args ((=> @t128 @t127))) % 105.96/106.29 (assume-push @p661 @t128) % 105.96/106.29 (step @p47 :rule instantiate :premises (@p38) :args ((@list @t116 @t115 tptp.a1 2))) % 105.96/106.29 (step-pop @p662 :rule scope :premises (@p47)) % 105.96/106.29 (step @p48 :rule process_scope :premises (@p662) :args (@t127)) % 105.96/106.29 (step @p50 :rule eq_resolve :premises (@p48 @p45)) % 105.96/106.29 (step @p51 :rule implies_elim :premises (@p50)) % 105.96/106.29 (step @p52 :rule chain_m_resolution :premises (@p51 @p38) :args (@t129 @t130 @t131)) % 105.96/106.29 (step @p53 :rule arith_poly_norm :args ((= (* 34 (- @t134 @t133)) (* 34 (- @t132 -34))))) % 105.96/106.29 (step @p54 :rule arith_poly_norm_rel :premises (@p53) :args ((= (>= @t134 @t133) (>= @t132 -34)))) % 105.96/106.29 (step @p55 :rule arith_poly_norm :args ((= (+ @t46 -24) @t133))) % 105.96/106.29 (step @p56 :rule evaluate :args (@t135)) % 105.96/106.29 (step @p57 :rule refl :args (@t46)) % 105.96/106.29 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t136)) % 105.96/106.29 (step @p59 :rule trans :premises (@p58 @p55)) % 105.96/106.29 (step @p60 :rule arith_poly_norm :args ((= @t47 @t136))) % 105.96/106.29 (step @p61 :rule trans :premises (@p60 @p59)) % 105.96/106.29 (step @p62 :rule arith_poly_norm :args ((= @t48 @t134))) % 105.96/106.29 (step @p63 :rule cong :premises (@p62 @p61) :args (@t137)) % 105.96/106.29 (step @p64 :rule trans :premises (@p63 @p54)) % 105.96/106.29 (step @p65 :rule cong :premises (@p64) :args ((not @t137))) % 105.96/106.29 (step @p66 :rule arith-elim-lt :args (@t48 @t47)) % 105.96/106.29 (step @p67 :rule trans :premises (@p66 @p65)) % 105.96/106.29 (step @p68 :rule refl :args (@t49)) % 105.96/106.29 (step @p69 :rule cong :premises (@p68 @p67) :args (@t50)) % 105.96/106.29 (step @p70 :rule cong :premises (@p69) :args (@t51)) % 105.96/106.29 (step @p71 :rule eq_resolve :premises (@p27 @p70)) % 105.96/106.29 (step @p72 :rule instantiate :premises (@p71) :args ((@list @t114))) % 105.96/106.29 (step @p73 :rule aci_norm :args ((= (or (or @t111 @t110) @t109) @t112))) % 105.96/106.29 (step @p74 :rule refl :args (@t109)) % 105.96/106.29 (step @p75 :rule bool-and-de-morgan :args (@t49 @t64 true)) % 105.96/106.29 (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or (not @t102) @t109))) % 105.96/106.29 (step @p77 :rule trans :premises (@p76 @p73)) % 105.96/106.29 (step @p78 :rule bool-impl-elim :args (@t102 @t109)) % 105.96/106.29 (step @p79 :rule trans :premises (@p78 @p77)) % 105.96/106.29 (step @p80 :rule cong :premises (@p79) :args ((forall @t104 (=> @t102 @t109)))) % 105.96/106.29 (step @p81 :rule aci_norm :args ((= (or false @t109) @t109))) % 105.96/106.29 (step @p82 :rule refl :args (@t109)) % 105.96/106.29 (step @p83 :rule evaluate :args ((not true))) % 105.96/106.29 (step @p84 :rule evaluate :args (@t138)) % 105.96/106.29 (step @p85 :rule cong :premises (@p84) :args (@t139)) % 105.96/106.29 (step @p86 :rule trans :premises (@p85 @p83)) % 105.96/106.29 (step @p87 :rule nary_cong :premises (@p86 @p82) :args (@t140)) % 105.96/106.29 (step @p88 :rule trans :premises (@p87 @p81)) % 105.96/106.29 (step @p89 :rule quant-var-elim-eq :args ((= (forall @t100 @t143) @t140))) % 105.96/106.29 (step @p90 :rule aci_norm :args ((= @t144 @t143))) % 105.96/106.29 (step @p91 :rule cong :premises (@p90) :args ((forall @t100 @t144))) % 105.96/106.29 (step @p92 :rule trans :premises (@p91 @p89)) % 105.96/106.29 (step @p93 :rule trans :premises (@p92 @p88)) % 105.96/106.29 (step @p94 :rule bool-impl-elim :args (@t98 @t141)) % 105.96/106.29 (step @p95 :rule cong :premises (@p94) :args ((forall @t100 (=> @t98 @t141)))) % 105.96/106.29 (step @p96 :rule trans :premises (@p95 @p93)) % 105.96/106.29 (step @p97 :rule aci_norm :args ((= (or @t141 false) @t141))) % 105.96/106.29 (step @p98 :rule quant-var-elim-eq :args ((= (forall @t96 @t146) @t139))) % 105.96/106.29 (step @p99 :rule aci_norm :args ((= @t145 @t146))) % 105.96/106.29 (step @p100 :rule cong :premises (@p99) :args (@t147)) % 105.96/106.29 (step @p101 :rule trans :premises (@p100 @p98)) % 105.96/106.29 (step @p102 :rule trans :premises (@p101 @p86)) % 105.96/106.29 (step @p103 :rule refl :args (@t141)) % 105.96/106.29 (step @p104 :rule nary_cong :premises (@p103 @p102) :args (@t148)) % 105.96/106.29 (step @p105 :rule trans :premises (@p104 @p97)) % 105.96/106.29 (step @p106 :rule quant-miniscope-or :args ((= (forall @t96 @t149) @t148))) % 105.96/106.29 (step @p107 :rule aci_norm :args ((= @t150 @t149))) % 105.96/106.29 (step @p108 :rule cong :premises (@p107) :args ((forall @t96 @t150))) % 105.96/106.29 (step @p109 :rule trans :premises (@p108 @p106)) % 105.96/106.29 (step @p110 :rule trans :premises (@p109 @p105)) % 105.96/106.29 (step @p111 :rule bool-impl-elim :args (@t94 @t141)) % 105.96/106.29 (step @p112 :rule cong :premises (@p111) :args ((forall @t96 (=> @t94 @t141)))) % 105.96/106.29 (step @p113 :rule trans :premises (@p112 @p110)) % 105.96/106.29 (step @p114 :rule aci_norm :args ((= (or false @t141) @t141))) % 105.96/106.29 (step @p115 :rule evaluate :args (@t151)) % 105.96/106.29 (step @p116 :rule cong :premises (@p115) :args (@t152)) % 105.96/106.29 (step @p117 :rule trans :premises (@p116 @p83)) % 105.96/106.29 (step @p118 :rule nary_cong :premises (@p117 @p103) :args (@t153)) % 105.96/106.29 (step @p119 :rule trans :premises (@p118 @p114)) % 105.96/106.29 (step @p120 :rule quant-var-elim-eq :args ((= (forall @t91 @t157) @t153))) % 105.96/106.29 (step @p121 :rule aci_norm :args ((= @t158 @t157))) % 105.96/106.29 (step @p122 :rule cong :premises (@p121) :args ((forall @t91 @t158))) % 105.96/106.29 (step @p123 :rule trans :premises (@p122 @p120)) % 105.96/106.29 (step @p124 :rule trans :premises (@p123 @p119)) % 105.96/106.29 (step @p125 :rule bool-impl-elim :args (@t89 @t155)) % 105.96/106.29 (step @p126 :rule cong :premises (@p125) :args ((forall @t91 (=> @t89 @t155)))) % 105.96/106.29 (step @p127 :rule trans :premises (@p126 @p124)) % 105.96/106.29 (step @p128 :rule aci_norm :args ((= (or false @t155) @t155))) % 105.96/106.29 (step @p129 :rule refl :args (@t155)) % 105.96/106.29 (step @p130 :rule eq-refl :args (@t154)) % 105.96/106.29 (step @p131 :rule cong :premises (@p130) :args (@t159)) % 105.96/106.29 (step @p132 :rule trans :premises (@p131 @p83)) % 105.96/106.29 (step @p133 :rule nary_cong :premises (@p132 @p129) :args (@t160)) % 105.96/106.29 (step @p134 :rule trans :premises (@p133 @p128)) % 105.96/106.29 (step @p135 :rule quant-var-elim-eq :args ((= (forall @t87 @t163) @t160))) % 105.96/106.29 (step @p136 :rule aci_norm :args ((= @t164 @t163))) % 105.96/106.29 (step @p137 :rule cong :premises (@p136) :args ((forall @t87 @t164))) % 105.96/106.29 (step @p138 :rule trans :premises (@p137 @p135)) % 105.96/106.29 (step @p139 :rule trans :premises (@p138 @p134)) % 105.96/106.29 (step @p140 :rule bool-impl-elim :args (@t161 @t82)) % 105.96/106.29 (step @p141 :rule cong :premises (@p140) :args ((forall @t87 (=> @t161 @t82)))) % 105.96/106.29 (step @p142 :rule trans :premises (@p141 @p139)) % 105.96/106.29 (step @p143 :rule refl :args (@t82)) % 105.96/106.29 (step @p144 :rule refl :args (@t83)) % 105.96/106.29 (step @p145 :rule arith_poly_norm :args ((= (+ @t46 -16) @t107))) % 105.96/106.29 (step @p146 :rule evaluate :args (@t165)) % 105.96/106.29 (step @p147 :rule nary_cong :premises (@p57 @p146) :args (@t166)) % 105.96/106.29 (step @p148 :rule trans :premises (@p147 @p145)) % 105.96/106.29 (step @p149 :rule arith_poly_norm :args ((= @t67 @t166))) % 105.96/106.29 (step @p150 :rule trans :premises (@p149 @p148)) % 105.96/106.29 (step @p151 :rule refl :args (@t54)) % 105.96/106.29 (step @p152 :rule cong :premises (@p151 @p150 @p144) :args (@t84)) % 105.96/106.29 (step @p153 :rule refl :args (@t81)) % 105.96/106.29 (step @p154 :rule cong 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(step @p169 :rule trans :premises (@p168 @p96)) % 105.96/106.29 (step @p170 :rule refl :args (@t102)) % 105.96/106.29 (step @p171 :rule cong :premises (@p170 @p169) :args (@t103)) % 105.96/106.29 (step @p172 :rule cong :premises (@p171) :args (@t105)) % 105.96/106.29 (step @p173 :rule trans :premises (@p172 @p80)) % 105.96/106.29 (step @p174 :rule cong :premises (@p173) :args (@t106)) % 105.96/106.29 (step @p175 :rule eq_resolve :premises (@p30 @p174)) % 105.96/106.29 (step @p176 :rule skolemize :premises (@p175)) % 105.96/106.29 (step @p177 :rule bool-double-not-elim :args (@t167)) % 105.96/106.29 (step @p178 :rule refl :args (@t172)) % 105.96/106.29 (step @p179 :rule nary_cong :premises (@p178 @p177) :args ((or @t172 (not @t171)))) % 105.96/106.29 (step @p180 :rule cnf_or_neg :args (@t172 0)) % 105.96/106.29 (step @p181 :rule eq_resolve :premises (@p180 @p179)) % 105.96/106.29 (step @p182 :rule reordering :premises (@p181) :args ((or @t167 @t172))) % 105.96/106.29 (step @p183 :rule 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:rule evaluate :args (@t192)) % 105.96/106.29 (step @p217 :rule true_elim :premises (@p216)) % 105.96/106.29 (step @p640 :rule and_intro :premises (@p217 @p716)) % 105.96/106.29 (step @p641 :rule modus_ponens :premises (@p640 @p639)) % 105.96/106.29 (step @p642 :rule arith_mult_neg :args (-1 @t302)) % 105.96/106.29 (step @p643 :rule and_intro :premises (@p217 @p718)) % 105.96/106.29 (step @p644 :rule modus_ponens :premises (@p643 @p642)) % 105.96/106.29 (step @p645 :rule arith_sum_ub :premises (@p644 @p641 @p638)) % 105.96/106.29 (step @p646 false :rule eq_resolve :premises (@p645 @p635)) % 105.96/106.29 (step-pop @p719 :rule scope :premises (@p646)) % 105.96/106.29 (step @p647 :rule process_scope :premises (@p719) :args (false)) % 105.96/106.29 (step @p649 :rule arith_poly_norm :args ((= (* 1 (- @t301 0)) (* 1 (- @t268 @t278))))) % 105.96/106.29 (step @p650 :rule arith_poly_norm_rel :premises (@p649) :args ((= @t302 @t281))) % 105.96/106.29 (step @p651 :rule symm :premises (@p650)) % 105.96/106.29 (step @p652 :rule eq_resolve :premises (@p717 @p651)) % 105.96/106.29 (step @p653 false :rule contra :premises (@p652 @p647)) % 105.96/106.29 (step-pop @p720 :rule scope :premises (@p653)) % 105.96/106.29 (step-pop @p721 :rule scope :premises (@p720)) % 105.96/106.29 (step-pop @p722 :rule scope :premises (@p721)) % 105.96/106.29 (step @p654 :rule process_scope :premises (@p722) :args (false)) % 105.96/106.29 (step @p658 :rule not_and :premises (@p654)) % 105.96/106.29 (step @p659 :rule eq_resolve :premises (@p658 @p613)) % 105.96/106.29 (step @p660 false :rule chain_m_resolution :premises (@p659 @p609 @p533 @p517) :args (false (@list false false true) (@list @t281 @t279 @t269))) % 105.96/106.29 ) % 105.96/106.29 % SZS output end Proof % 105.96/106.30 % cvc5 exiting %------------------------------------------------------------------------------