%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW610_2 : TPTP v9.2.1. Released v6.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : 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 09:05:20 AM UTC 2026 % Result : Theorem 105.47s 105.81s % Output : Proof 105.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWW610_2 : TPTP v9.2.1. Released v6.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % 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 22:18:18 EDT 2026 % 0.08/0.25 % CPUTime : % 0.16/0.34 %----Proving TF0_ARI % 105.47/105.81 --- Run --finite-model-find --decision=internal at 45... % 105.47/105.81 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 105.47/105.81 --- Run --no-e-matching --full-saturate-quant at 45... % 105.47/105.81 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 45... % 105.47/105.81 % SZS status Theorem % 105.47/105.81 % SZS output start Proof % 105.47/105.81 ( % 105.47/105.81 (declare-sort tptp.tuple02 0) % 105.47/105.81 (declare-sort tptp.bool1 0) % 105.47/105.81 (declare-sort tptp.array_char 0) % 105.47/105.81 (declare-sort tptp.ty 0) % 105.47/105.81 (declare-sort tptp.uni 0) % 105.47/105.81 (declare-sort tptp.char1 0) % 105.47/105.81 (declare-const tptp.make1 (-> tptp.ty Int tptp.uni tptp.uni)) % 105.47/105.81 (declare-const tptp.t2tb (-> Int tptp.uni)) % 105.47/105.81 (declare-const tptp.char tptp.ty) % 105.47/105.81 (declare-const tptp.get2 (-> tptp.ty tptp.uni Int tptp.uni)) % 105.47/105.81 (declare-const tptp.t2tb2 (-> tptp.char1 tptp.uni)) % 105.47/105.81 (declare-const tptp.array (-> tptp.ty tptp.ty)) % 105.47/105.81 (declare-const tptp.mk_array1 (-> tptp.ty Int tptp.uni tptp.uni)) % 105.47/105.81 (declare-const tptp.tb2t1 (-> tptp.uni tptp.array_char)) % 105.47/105.81 (declare-const tptp.tb2t (-> tptp.uni Int)) % 105.47/105.81 (declare-const tptp.elts (-> tptp.ty tptp.uni tptp.uni)) % 105.47/105.81 (declare-const tptp.tuple03 tptp.tuple02) % 105.47/105.81 (declare-const tptp.t2tb1 (-> tptp.array_char tptp.uni)) % 105.47/105.81 (declare-const tptp.length1 (-> tptp.ty tptp.uni Int)) % 105.47/105.81 (declare-const tptp.mk_ref (-> tptp.ty tptp.uni tptp.uni)) % 105.47/105.81 (declare-const tptp.sort1 (-> tptp.ty tptp.uni Bool)) % 105.47/105.81 (declare-const tptp.map (-> tptp.ty tptp.ty tptp.ty)) % 105.47/105.81 (declare-const tptp.true1 tptp.bool1) % 105.47/105.81 (declare-const tptp.false1 tptp.bool1) % 105.47/105.81 (declare-const tptp.matches1 (-> tptp.array_char Int tptp.array_char Int Int Bool)) % 105.47/105.81 (declare-const tptp.tb2t2 (-> tptp.uni tptp.char1)) % 105.47/105.81 (declare-const tptp.ref (-> tptp.ty tptp.ty)) % 105.47/105.81 (declare-const tptp.contents (-> tptp.ty tptp.uni tptp.uni)) % 105.47/105.81 (declare-const tptp.set2 (-> tptp.ty tptp.uni Int tptp.uni tptp.uni)) % 105.47/105.81 (declare-const tptp.int tptp.ty) % 105.47/105.81 (declare-const tptp.witness1 (-> tptp.ty tptp.uni)) % 105.47/105.81 (declare-const tptp.get (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni)) % 105.47/105.81 (declare-const tptp.const (-> tptp.ty tptp.ty tptp.uni tptp.uni)) % 105.47/105.81 (declare-const tptp.match_bool1 (-> tptp.ty tptp.bool1 tptp.uni tptp.uni tptp.uni)) % 105.47/105.81 (declare-const tptp.set (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 105.47/105.81 (define @t1 () (@var "A" tptp.ty)) % 105.47/105.81 (define @t2 () (@var "X2" tptp.uni)) % 105.47/105.81 (define @t3 () (@var "X1" tptp.uni)) % 105.47/105.81 (define @t4 () (@var "X" tptp.bool1)) % 105.47/105.81 (define @t5 () (@var "Z" tptp.uni)) % 105.47/105.81 (define @t6 () (@var "Z1" tptp.uni)) % 105.47/105.81 (define @t7 () (@list @t1 @t5 @t6)) % 105.47/105.81 (define @t8 () (@var "U" tptp.bool1)) % 105.47/105.81 (define @t9 () (@var "U" tptp.tuple02)) % 105.47/105.81 (define @t10 () (@var "Z" Int)) % 105.47/105.81 (define @t11 () (@var "Y" Int)) % 105.47/105.81 (define @t12 () (@var "X" Int)) % 105.47/105.81 (define @t13 () (@var "X" tptp.uni)) % 105.47/105.81 (define @t14 () (tptp.ref @t1)) % 105.47/105.81 (define @t15 () (@list @t1 @t13)) % 105.47/105.81 (define @t16 () (@var "U" tptp.uni)) % 105.47/105.81 (define @t17 () (@list @t1 @t16)) % 105.47/105.81 (define @t18 () (@var "B" tptp.ty)) % 105.47/105.81 (define @t19 () (tptp.map @t1 @t18)) % 105.47/105.81 (define @t20 () (@var "B1" tptp.uni)) % 105.47/105.81 (define @t21 () (@var "A2" tptp.uni)) % 105.47/105.81 (define @t22 () (@var "A1" tptp.uni)) % 105.47/105.81 (define @t23 () (@var "M" tptp.uni)) % 105.47/105.81 (define @t24 () (tptp.get @t18 @t1 (tptp.set @t18 @t1 @t23 @t22 @t20) @t21)) % 105.47/105.81 (define @t25 () (= @t22 @t21)) % 105.47/105.81 (define @t26 () (tptp.sort1 @t18 @t20)) % 105.47/105.81 (define @t27 () (tptp.array @t1)) % 105.47/105.81 (define @t28 () (@list @t1 @t12 @t3)) % 105.47/105.81 (define @t29 () (@var "U" Int)) % 105.47/105.81 (define @t30 () (@var "U1" tptp.uni)) % 105.47/105.81 (define @t31 () (tptp.mk_array1 @t1 @t29 @t30)) % 105.47/105.81 (define @t32 () (@list @t1 @t29 @t30)) % 105.47/105.81 (define @t33 () (tptp.map tptp.int @t1)) % 105.47/105.81 (define @t34 () (@var "X1" Int)) % 105.47/105.81 (define @t35 () (@var "I" Int)) % 105.47/105.81 (define @t36 () (tptp.t2tb @t35)) % 105.47/105.81 (define @t37 () (@list @t35)) % 105.47/105.81 (define @t38 () (@var "J" tptp.uni)) % 105.47/105.81 (define @t39 () (@list @t38)) % 105.47/105.81 (define @t40 () (tptp.elts @t1 @t22)) % 105.47/105.81 (define @t41 () (@var "V" tptp.uni)) % 105.47/105.81 (define @t42 () (@var "N" Int)) % 105.47/105.81 (define @t43 () (@var "X" tptp.array_char)) % 105.47/105.81 (define @t44 () (@var "I" tptp.array_char)) % 105.47/105.81 (define @t45 () (@var "X" tptp.char1)) % 105.47/105.81 (define @t46 () (@var "I" tptp.char1)) % 105.47/105.81 (define @t47 () (@var "I2" Int)) % 105.47/105.81 (define @t48 () (+ @t47 @t35)) % 105.47/105.81 (define @t49 () (@var "A2" tptp.array_char)) % 105.47/105.81 (define @t50 () (tptp.t2tb1 @t49)) % 105.47/105.81 (define @t51 () (tptp.get2 tptp.char @t50 @t48)) % 105.47/105.81 (define @t52 () (tptp.tb2t2 @t51)) % 105.47/105.81 (define @t53 () (@var "I1" Int)) % 105.47/105.81 (define @t54 () (+ @t53 @t35)) % 105.47/105.81 (define @t55 () (@var "A1" tptp.array_char)) % 105.47/105.81 (define @t56 () (tptp.t2tb1 @t55)) % 105.47/105.81 (define @t57 () (tptp.get2 tptp.char @t56 @t54)) % 105.47/105.81 (define @t58 () (tptp.tb2t2 @t57)) % 105.47/105.81 (define @t59 () (= @t58 @t52)) % 105.47/105.81 (define @t60 () (and (<= 0 @t35) (< @t35 @t42))) % 105.47/105.81 (define @t61 () (=> @t60 @t59)) % 105.47/105.81 (define @t62 () (forall @t37 @t61)) % 105.47/105.81 (define @t63 () (tptp.length1 tptp.char @t50)) % 105.47/105.81 (define @t64 () (- @t63 @t42)) % 105.47/105.81 (define @t65 () (<= @t47 @t64)) % 105.47/105.81 (define @t66 () (<= 0 @t47)) % 105.47/105.81 (define @t67 () (tptp.length1 tptp.char @t56)) % 105.47/105.81 (define @t68 () (- @t67 @t42)) % 105.47/105.81 (define @t69 () (<= @t53 @t68)) % 105.47/105.81 (define @t70 () (<= 0 @t53)) % 105.47/105.81 (define @t71 () (and @t70 @t69 @t66 @t65 @t62)) % 105.47/105.81 (define @t72 () (tptp.matches1 @t55 @t53 @t49 @t47 @t42)) % 105.47/105.81 (define @t73 () (= @t72 @t71)) % 105.47/105.81 (define @t74 () (@list @t55 @t53 @t49 @t47 @t42)) % 105.47/105.81 (define @t75 () (forall @t74 @t73)) % 105.47/105.81 (define @t76 () (@list @t55 @t49 @t53 @t47 @t42)) % 105.47/105.81 (define @t77 () (not @t72)) % 105.47/105.81 (define @t78 () (< 0 @t42)) % 105.47/105.81 (define @t79 () (@var "Nqt" Int)) % 105.47/105.81 (define @t80 () (tptp.matches1 @t55 @t53 @t49 @t47 @t79)) % 105.47/105.81 (define @t81 () (=> (< @t79 @t42) @t80)) % 105.47/105.81 (define @t82 () (=> @t72 @t81)) % 105.47/105.81 (define @t83 () (@list @t55 @t49 @t53 @t47 @t42 @t79)) % 105.47/105.81 (define @t84 () (forall @t83 @t82)) % 105.47/105.81 (define @t85 () (not @t84)) % 105.47/105.81 (define @t86 () (+ @t42 (* -1 @t79))) % 105.47/105.81 (define @t87 () (>= @t86 1)) % 105.47/105.81 (define @t88 () (not @t87)) % 105.47/105.81 (define @t89 () (or @t77 @t88 @t80)) % 105.47/105.81 (define @t90 () (=> @t87 @t80)) % 105.47/105.81 (define @t91 () (+ @t86 1)) % 105.47/105.81 (define @t92 () (>= @t79 @t42)) % 105.47/105.81 (define @t93 () (forall @t83 @t89)) % 105.47/105.81 (define @t94 () (@quantifiers_skolemize @t93 5)) % 105.47/105.81 (define @t95 () (* -1 @t94)) % 105.47/105.81 (define @t96 () (@quantifiers_skolemize @t93 4)) % 105.47/105.81 (define @t97 () (+ @t96 @t95)) % 105.47/105.81 (define @t98 () (>= @t97 1)) % 105.47/105.81 (define @t99 () (@quantifiers_skolemize @t93 3)) % 105.47/105.81 (define @t100 () (@quantifiers_skolemize @t93 1)) % 105.47/105.81 (define @t101 () (@quantifiers_skolemize @t93 2)) % 105.47/105.81 (define @t102 () (@quantifiers_skolemize @t93 0)) % 105.47/105.81 (define @t103 () (tptp.matches1 @t102 @t101 @t100 @t99 @t94)) % 105.47/105.81 (define @t104 () (not @t98)) % 105.47/105.81 (define @t105 () (tptp.matches1 @t102 @t101 @t100 @t99 @t96)) % 105.47/105.81 (define @t106 () (not @t105)) % 105.47/105.81 (define @t107 () (or @t106 @t104 @t103)) % 105.47/105.81 (define @t108 () (@list true)) % 105.47/105.81 (define @t109 () (@list @t107)) % 105.47/105.81 (define @t110 () (+ @t35 @t47)) % 105.47/105.81 (define @t111 () (+ @t35 @t53)) % 105.47/105.81 (define @t112 () (= (tptp.tb2t2 (tptp.get2 tptp.char @t56 @t111)) (tptp.tb2t2 (tptp.get2 tptp.char @t50 @t110)))) % 105.47/105.81 (define @t113 () (* -1 @t42)) % 105.47/105.81 (define @t114 () (+ @t35 @t113)) % 105.47/105.81 (define @t115 () (>= @t114 0)) % 105.47/105.81 (define @t116 () (>= @t35 0)) % 105.47/105.81 (define @t117 () (not @t116)) % 105.47/105.81 (define @t118 () (or @t117 @t115 @t112)) % 105.47/105.81 (define @t119 () (not @t115)) % 105.47/105.81 (define @t120 () (and @t116 @t119)) % 105.47/105.81 (define @t121 () (>= @t35 @t42)) % 105.47/105.81 (define @t122 () (+ @t42 @t47 (* -1 @t63))) % 105.47/105.81 (define @t123 () (+ @t113 @t63)) % 105.47/105.81 (define @t124 () (+ @t123 1)) % 105.47/105.81 (define @t125 () (>= @t122 1)) % 105.47/105.81 (define @t126 () (>= @t47 @t124)) % 105.47/105.81 (define @t127 () (+ @t63 @t113)) % 105.47/105.81 (define @t128 () (+ @t42 @t53 (* -1 @t67))) % 105.47/105.81 (define @t129 () (+ @t113 @t67)) % 105.47/105.81 (define @t130 () (+ @t129 1)) % 105.47/105.81 (define @t131 () (>= @t128 1)) % 105.47/105.81 (define @t132 () (>= @t53 @t130)) % 105.47/105.81 (define @t133 () (+ @t67 @t113)) % 105.47/105.81 (define @t134 () (tptp.t2tb1 @t100)) % 105.47/105.81 (define @t135 () (tptp.t2tb1 @t102)) % 105.47/105.81 (define @t136 () (= (tptp.tb2t2 (tptp.get2 tptp.char @t135 (+ @t35 @t101))) (tptp.tb2t2 (tptp.get2 tptp.char @t134 (+ @t35 @t99))))) % 105.47/105.81 (define @t137 () (* -1 @t96)) % 105.47/105.81 (define @t138 () (forall @t37 (or @t117 (>= (+ @t35 @t137) 0) @t136))) % 105.47/105.81 (define @t139 () (tptp.length1 tptp.char @t134)) % 105.47/105.81 (define @t140 () (* -1 @t139)) % 105.47/105.81 (define @t141 () (+ @t99 @t96 @t140)) % 105.47/105.81 (define @t142 () (+ @t96 @t99 @t140)) % 105.47/105.81 (define @t143 () (>= @t142 1)) % 105.47/105.81 (define @t144 () (not @t143)) % 105.47/105.81 (define @t145 () (>= @t99 0)) % 105.47/105.81 (define @t146 () (tptp.length1 tptp.char @t135)) % 105.47/105.81 (define @t147 () (* -1 @t146)) % 105.47/105.81 (define @t148 () (+ @t101 @t96 @t147)) % 105.47/105.81 (define @t149 () (+ @t96 @t101 @t147)) % 105.47/105.81 (define @t150 () (>= @t149 1)) % 105.47/105.81 (define @t151 () (not @t150)) % 105.47/105.81 (define @t152 () (>= @t101 0)) % 105.47/105.81 (define @t153 () (and @t152 @t151 @t145 @t144 @t138)) % 105.47/105.81 (define @t154 () (= @t105 @t153)) % 105.47/105.81 (define @t155 () (forall @t74 (= @t72 (and (>= @t53 0) (not @t131) (>= @t47 0) (not @t125) (forall @t37 @t118))))) % 105.47/105.81 (define @t156 () (>= @t141 1)) % 105.47/105.81 (define @t157 () (not @t156)) % 105.47/105.81 (define @t158 () (>= @t148 1)) % 105.47/105.81 (define @t159 () (not @t158)) % 105.47/105.81 (define @t160 () (and @t152 @t159 @t145 @t157 @t138)) % 105.47/105.81 (define @t161 () (= @t105 @t160)) % 105.47/105.81 (define @t162 () (@list false)) % 105.47/105.81 (define @t163 () (@list @t155)) % 105.47/105.81 (define @t164 () (not @t160)) % 105.47/105.81 (define @t165 () (@list @t160)) % 105.47/105.81 (define @t166 () (forall @t37 (or @t117 (>= (+ @t35 @t95) 0) @t136))) % 105.47/105.81 (define @t167 () (+ @t99 @t94 @t140)) % 105.47/105.81 (define @t168 () (+ @t94 @t99 @t140)) % 105.47/105.81 (define @t169 () (>= @t168 1)) % 105.47/105.81 (define @t170 () (not @t169)) % 105.47/105.81 (define @t171 () (+ @t101 @t94 @t147)) % 105.47/105.81 (define @t172 () (+ @t94 @t101 @t147)) % 105.47/105.81 (define @t173 () (>= @t172 1)) % 105.47/105.81 (define @t174 () (not @t173)) % 105.47/105.81 (define @t175 () (and @t152 @t174 @t145 @t170 @t166)) % 105.47/105.81 (define @t176 () (= @t103 @t175)) % 105.47/105.81 (define @t177 () (>= @t167 1)) % 105.47/105.81 (define @t178 () (not @t177)) % 105.47/105.81 (define @t179 () (>= @t171 1)) % 105.47/105.81 (define @t180 () (not @t179)) % 105.47/105.81 (define @t181 () (and @t152 @t180 @t145 @t178 @t166)) % 105.47/105.81 (define @t182 () (= @t103 @t181)) % 105.47/105.81 (define @t183 () (not @t181)) % 105.47/105.81 (define @t184 () (<= 0 -2)) % 105.47/105.81 (define @t185 () (+ -1 0 -1)) % 105.47/105.81 (define @t186 () (* -1 1)) % 105.47/105.81 (define @t187 () (+ @t186 0 @t186)) % 105.47/105.81 (define @t188 () (= (+ 0 @t94 @t95 0 0) 0)) % 105.47/105.81 (define @t189 () (* 0 @t99)) % 105.47/105.81 (define @t190 () (* 0 @t96)) % 105.47/105.81 (define @t191 () (= @t190 0)) % 105.47/105.81 (define @t192 () (* 0 @t139)) % 105.47/105.81 (define @t193 () (+ @t192 @t94 @t95 @t190 @t189)) % 105.47/105.81 (define @t194 () (* -1 @t97)) % 105.47/105.81 (define @t195 () (+ (* -1 @t167) @t141 @t194)) % 105.47/105.81 (define @t196 () (< -1 0)) % 105.47/105.81 (define @t197 () (@list false true)) % 105.47/105.81 (define @t198 () (* 0 @t101)) % 105.47/105.81 (define @t199 () (* 0 @t146)) % 105.47/105.81 (define @t200 () (+ @t199 @t94 @t95 @t190 @t198)) % 105.47/105.81 (define @t201 () (+ (* -1 @t171) @t148 @t194)) % 105.47/105.81 (define @t202 () (not @t166)) % 105.47/105.81 (define @t203 () (not @t145)) % 105.47/105.81 (define @t204 () (not @t152)) % 105.47/105.81 (define @t205 () (@quantifiers_skolemize @t166 0)) % 105.47/105.81 (define @t206 () (+ @t99 @t205)) % 105.47/105.81 (define @t207 () (+ @t101 @t205)) % 105.47/105.81 (define @t208 () (= (tptp.tb2t2 (tptp.get2 tptp.char @t135 @t207)) (tptp.tb2t2 (tptp.get2 tptp.char @t134 @t206)))) % 105.47/105.81 (define @t209 () (* -1 @t205)) % 105.47/105.81 (define @t210 () (+ @t94 @t209)) % 105.47/105.81 (define @t211 () (>= @t210 1)) % 105.47/105.81 (define @t212 () (not @t211)) % 105.47/105.81 (define @t213 () (>= @t205 0)) % 105.47/105.81 (define @t214 () (not @t213)) % 105.47/105.81 (define @t215 () (or @t214 @t212 @t208)) % 105.47/105.81 (define @t216 () (not @t215)) % 105.47/105.81 (define @t217 () (+ @t205 @t99)) % 105.47/105.81 (define @t218 () (tptp.get2 tptp.char @t134 @t217)) % 105.47/105.81 (define @t219 () (tptp.tb2t2 @t218)) % 105.47/105.81 (define @t220 () (+ @t205 @t101)) % 105.47/105.81 (define @t221 () (tptp.get2 tptp.char @t135 @t220)) % 105.47/105.81 (define @t222 () (tptp.tb2t2 @t221)) % 105.47/105.81 (define @t223 () (= @t222 @t219)) % 105.47/105.81 (define @t224 () (+ @t95 @t205)) % 105.47/105.81 (define @t225 () (+ @t210 1)) % 105.47/105.81 (define @t226 () (+ @t205 @t95)) % 105.47/105.81 (define @t227 () (>= @t226 0)) % 105.47/105.81 (define @t228 () (or @t214 @t227 @t223)) % 105.47/105.81 (define @t229 () (not @t228)) % 105.47/105.81 (define @t230 () (@list @t215)) % 105.47/105.81 (define @t231 () (+ @t137 @t205)) % 105.47/105.81 (define @t232 () (+ @t96 @t209)) % 105.47/105.81 (define @t233 () (+ @t232 1)) % 105.47/105.81 (define @t234 () (+ @t205 @t137)) % 105.47/105.81 (define @t235 () (>= @t234 0)) % 105.47/105.81 (define @t236 () (or @t214 @t235 @t223)) % 105.47/105.81 (define @t237 () (>= @t232 1)) % 105.47/105.81 (define @t238 () (not @t237)) % 105.47/105.81 (define @t239 () (or @t214 @t238 @t208)) % 105.47/105.81 (define @t240 () (+ @t186 @t186 1)) % 105.47/105.81 (define @t241 () (* 0 @t205)) % 105.47/105.81 (define @t242 () (+ @t241 @t94 @t95 @t190)) % 105.47/105.81 (define @t243 () (+ (* -1 @t210) @t194 @t232)) % 105.47/105.81 (define @t244 () (>= @t243 @t240)) % 105.47/105.81 (define @t245 () (and @t238 @t98 @t211)) % 105.47/105.81 (assume @p1 (forall (@list @t1) (tptp.sort1 @t1 (tptp.witness1 @t1)))) % 105.47/105.81 (assume @p2 (forall (@list @t1 @t4 @t3 @t2) (tptp.sort1 @t1 (tptp.match_bool1 @t1 @t4 @t3 @t2)))) % 105.47/105.81 (assume @p3 (forall @t7 (=> (tptp.sort1 @t1 @t5) (= (tptp.match_bool1 @t1 tptp.true1 @t5 @t6) @t5)))) % 105.47/105.81 (assume @p4 (forall @t7 (=> (tptp.sort1 @t1 @t6) (= (tptp.match_bool1 @t1 tptp.false1 @t5 @t6) @t6)))) % 105.47/105.81 (assume @p5 (not (= tptp.true1 tptp.false1))) % 105.47/105.81 (assume @p6 (forall (@list @t8) (or (= @t8 tptp.true1) (= @t8 tptp.false1)))) % 105.47/105.81 (assume @p7 (forall (@list @t9) (= @t9 tptp.tuple03))) % 105.47/105.81 (assume @p8 (forall (@list @t12 @t11 @t10) (=> (<= @t12 @t11) (=> (<= 0 @t10) (<= (* @t12 @t10) (* @t11 @t10)))))) % 105.47/105.81 (assume @p9 (forall @t15 (tptp.sort1 @t14 (tptp.mk_ref @t1 @t13)))) % 105.47/105.81 (assume @p10 (forall @t15 (tptp.sort1 @t1 (tptp.contents @t1 @t13)))) % 105.47/105.81 (assume @p11 (forall @t17 (=> (tptp.sort1 @t1 @t16) (= (tptp.contents @t1 (tptp.mk_ref @t1 @t16)) @t16)))) % 105.47/105.81 (assume @p12 (forall @t17 (=> (tptp.sort1 @t14 @t16) (= @t16 (tptp.mk_ref @t1 (tptp.contents @t1 @t16)))))) % 105.47/105.81 (assume @p13 (forall (@list @t1 @t18 @t13 @t3) (tptp.sort1 @t18 (tptp.get @t18 @t1 @t13 @t3)))) % 105.47/105.81 (assume @p14 (forall (@list @t1 @t18 @t13 @t3 @t2) (tptp.sort1 @t19 (tptp.set @t18 @t1 @t13 @t3 @t2)))) % 105.47/105.81 (assume @p15 (forall (@list @t1 @t18 @t23 @t22 @t21 @t20) (=> @t26 (=> @t25 (= @t24 @t20))))) % 105.47/105.81 (assume @p16 (forall (@list @t1 @t18 @t23 @t22 @t21) (=> (tptp.sort1 @t1 @t22) (=> (tptp.sort1 @t1 @t21) (forall (@list @t20) (=> (not @t25) (= @t24 (tptp.get @t18 @t1 @t23 @t21)))))))) % 105.47/105.81 (assume @p17 (forall (@list @t1 @t18 @t13) (tptp.sort1 @t19 (tptp.const @t18 @t1 @t13)))) % 105.47/105.81 (assume @p18 (forall (@list @t1 @t18 @t20 @t22) (=> @t26 (= (tptp.get @t18 @t1 (tptp.const @t18 @t1 @t20) @t22) @t20)))) % 105.47/105.81 (assume @p19 (forall @t28 (tptp.sort1 @t27 (tptp.mk_array1 @t1 @t12 @t3)))) % 105.47/105.81 (assume @p20 (forall @t32 (= (tptp.length1 @t1 @t31) @t29))) % 105.47/105.81 (assume @p21 (forall @t15 (tptp.sort1 @t33 (tptp.elts @t1 @t13)))) % 105.47/105.81 (assume @p22 (forall @t32 (=> (tptp.sort1 @t33 @t30) (= (tptp.elts @t1 @t31) @t30)))) % 105.47/105.81 (assume @p23 (forall @t17 (= @t16 (tptp.mk_array1 @t1 (tptp.length1 @t1 @t16) (tptp.elts @t1 @t16))))) % 105.47/105.81 (assume @p24 (forall (@list @t1 @t13 @t34) (tptp.sort1 @t1 (tptp.get2 @t1 @t13 @t34)))) % 105.47/105.81 (assume @p25 (forall (@list @t12) (tptp.sort1 tptp.int (tptp.t2tb @t12)))) % 105.47/105.81 (assume @p26 (forall @t37 (= (tptp.tb2t @t36) @t35))) % 105.47/105.81 (assume @p27 (forall @t39 (= (tptp.t2tb (tptp.tb2t @t38)) @t38))) % 105.47/105.81 (assume @p28 (forall (@list @t1 @t22 @t35) (= (tptp.get2 @t1 @t22 @t35) (tptp.get @t1 tptp.int @t40 @t36)))) % 105.47/105.81 (assume @p29 (forall (@list @t1 @t13 @t34 @t2) (tptp.sort1 @t27 (tptp.set2 @t1 @t13 @t34 @t2)))) % 105.47/105.81 (assume @p30 (forall (@list @t1 @t22 @t35 @t41) (= (tptp.set2 @t1 @t22 @t35 @t41) (tptp.mk_array1 @t1 (tptp.length1 @t1 @t22) (tptp.set @t1 tptp.int @t40 @t36 @t41))))) % 105.47/105.81 (assume @p31 (forall @t28 (tptp.sort1 @t27 (tptp.make1 @t1 @t12 @t3)))) % 105.47/105.81 (assume @p32 (forall (@list @t1 @t42 @t41) (= (tptp.make1 @t1 @t42 @t41) (tptp.mk_array1 @t1 @t42 (tptp.const @t1 tptp.int @t41))))) % 105.47/105.81 (assume @p33 (forall (@list @t43) (tptp.sort1 (tptp.array tptp.char) (tptp.t2tb1 @t43)))) % 105.47/105.81 (assume @p34 (forall (@list @t44) (= (tptp.tb2t1 (tptp.t2tb1 @t44)) @t44))) % 105.47/105.81 (assume @p35 (forall @t39 (= (tptp.t2tb1 (tptp.tb2t1 @t38)) @t38))) % 105.47/105.81 (assume @p36 (forall (@list @t45) (tptp.sort1 tptp.char (tptp.t2tb2 @t45)))) % 105.47/105.81 (assume @p37 (forall (@list @t46) (= (tptp.tb2t2 (tptp.t2tb2 @t46)) @t46))) % 105.47/105.81 (assume @p38 (forall @t39 (=> (tptp.sort1 tptp.char @t38) (= (tptp.t2tb2 (tptp.tb2t2 @t38)) @t38)))) % 105.47/105.81 (assume @p39 @t75) % 105.47/105.81 (assume @p40 (forall (@list @t55 @t49 @t53 @t47) (=> (and @t70 (<= @t53 @t67)) (=> (and @t66 (<= @t47 @t63)) (tptp.matches1 @t55 @t53 @t49 @t47 0))))) % 105.47/105.81 (assume @p41 (forall @t76 (=> @t72 (=> (<= @t53 (- @t68 1)) (=> (<= @t47 (- @t64 1)) (=> (= (tptp.tb2t2 (tptp.get2 tptp.char @t56 (+ @t53 @t42))) (tptp.tb2t2 (tptp.get2 tptp.char @t50 (+ @t47 @t42)))) (tptp.matches1 @t55 @t53 @t49 @t47 (+ @t42 1)))))))) % 105.47/105.81 (assume @p42 (forall @t76 (=> @t78 (=> (not (= (tptp.tb2t2 (tptp.get2 tptp.char @t56 @t53)) (tptp.tb2t2 (tptp.get2 tptp.char @t50 @t47)))) @t77)))) % 105.47/105.81 (assume @p43 (forall (@list @t55 @t49 @t53 @t47 @t35 @t42) (=> @t78 (=> @t60 (=> (not @t59) @t77))))) % 105.47/105.81 (assume @p44 @t85) % 105.47/105.81 (assume @p45 true) % 105.47/105.81 (step @p46 :rule aci_norm :args ((= (or @t77 (or @t88 @t80)) @t89))) % 105.47/105.81 (step @p47 :rule bool-impl-elim :args (@t87 @t80)) % 105.47/105.81 (step @p48 :rule refl :args (@t77)) % 105.47/105.81 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t77 @t90))) % 105.47/105.81 (step @p50 :rule trans :premises (@p49 @p46)) % 105.47/105.81 (step @p51 :rule bool-impl-elim :args (@t72 @t90)) % 105.47/105.81 (step @p52 :rule trans :premises (@p51 @p50)) % 105.47/105.81 (step @p53 :rule cong :premises (@p52) :args ((forall @t83 (=> @t72 @t90)))) % 105.47/105.81 (step @p54 :rule refl :args (@t80)) % 105.47/105.81 (step @p55 :rule bool-double-not-elim :args (@t87)) % 105.47/105.81 (step @p56 :rule arith_poly_norm :args ((= (* -1 (- 1 @t91)) (* -1 (- @t79 @t42))))) % 105.47/105.81 (step @p57 :rule arith_poly_norm_rel :premises (@p56) :args ((= (>= 1 @t91) @t92))) % 105.47/105.81 (step @p58 :rule arith-geq-tighten :args (@t86 1)) % 105.47/105.81 (step @p59 :rule trans :premises (@p58 @p57)) % 105.47/105.81 (step @p60 :rule symm :premises (@p59)) % 105.47/105.81 (step @p61 :rule cong :premises (@p60) :args ((not @t92))) % 105.47/105.81 (step @p62 :rule trans :premises (@p61 @p55)) % 105.47/105.81 (step @p63 :rule arith-elim-lt :args (@t79 @t42)) % 105.47/105.81 (step @p64 :rule trans :premises (@p63 @p62)) % 105.47/105.81 (step @p65 :rule cong :premises (@p64 @p54) :args (@t81)) % 105.47/105.81 (step @p66 :rule refl :args (@t72)) % 105.47/105.81 (step @p67 :rule cong :premises (@p66 @p65) :args (@t82)) % 105.47/105.81 (step @p68 :rule cong :premises (@p67) :args (@t84)) % 105.47/105.81 (step @p69 :rule trans :premises (@p68 @p53)) % 105.47/105.81 (step @p70 :rule cong :premises (@p69) :args (@t85)) % 105.47/105.81 (step @p71 :rule eq_resolve :premises (@p44 @p70)) % 105.47/105.81 (step @p72 :rule skolemize :premises (@p71)) % 105.47/105.81 (step @p73 :rule bool-double-not-elim :args (@t98)) % 105.47/105.81 (step @p74 :rule refl :args (@t107)) % 105.47/105.81 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t107 (not @t104)))) % 105.47/105.81 (step @p76 :rule cnf_or_neg :args (@t107 1)) % 105.47/105.81 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 105.47/105.81 (step @p78 :rule reordering :premises (@p77) :args ((or @t98 @t107))) % 105.47/105.81 (step @p79 :rule chain_m_resolution :premises (@p78 @p72) :args (@t98 @t108 @t109)) % 105.47/105.81 (step @p80 :rule aci_norm :args ((= (or (or @t117 @t115) @t112) @t118))) % 105.47/105.81 (step @p81 :rule refl :args (@t112)) % 105.47/105.81 (step @p82 :rule bool-double-not-elim :args (@t115)) % 105.47/105.81 (step @p83 :rule refl :args (@t117)) % 105.47/105.81 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or @t117 (not @t119)))) % 105.47/105.81 (step @p85 :rule bool-and-de-morgan :args (@t116 @t119 true)) % 105.47/105.81 (step @p86 :rule trans :premises (@p85 @p84)) % 105.47/105.81 (step @p87 :rule nary_cong :premises (@p86 @p81) :args ((or (not @t120) @t112))) % 105.47/105.81 (step @p88 :rule trans :premises (@p87 @p80)) % 105.47/105.81 (step @p89 :rule bool-impl-elim :args (@t120 @t112)) % 105.47/105.81 (step @p90 :rule trans :premises (@p89 @p88)) % 105.47/105.81 (step @p91 :rule cong :premises (@p90) :args ((forall @t37 (=> @t120 @t112)))) % 105.47/105.81 (step @p92 :rule arith_poly_norm :args ((= @t48 @t110))) % 105.47/105.81 (step @p93 :rule refl :args (@t50)) % 105.47/105.81 (step @p94 :rule refl :args (tptp.char)) % 105.47/105.81 (step @p95 :rule cong :premises (@p94 @p93 @p92) :args (@t51)) % 105.47/105.81 (step @p96 :rule cong :premises (@p95) :args (@t52)) % 105.47/105.81 (step @p97 :rule arith_poly_norm :args ((= @t54 @t111))) % 105.47/105.81 (step @p98 :rule refl :args (@t56)) % 105.47/105.81 (step @p99 :rule cong :premises (@p94 @p98 @p97) :args (@t57)) % 105.47/105.81 (step @p100 :rule cong :premises (@p99) :args (@t58)) % 105.47/105.81 (step @p101 :rule cong :premises (@p100 @p96) :args (@t59)) % 105.47/105.81 (step @p102 :rule arith_poly_norm :args ((= (* 1 (- @t35 @t42)) (* 1 (- @t114 0))))) % 105.47/105.81 (step @p103 :rule arith_poly_norm_rel :premises (@p102) :args ((= @t121 @t115))) % 105.47/105.81 (step @p104 :rule cong :premises (@p103) :args ((not @t121))) % 105.47/105.81 (step @p105 :rule arith-elim-lt :args (@t35 @t42)) % 105.47/105.81 (step @p106 :rule trans :premises (@p105 @p104)) % 105.47/105.81 (step @p107 :rule arith-elim-leq :args (0 @t35)) % 105.47/105.81 (step @p108 :rule nary_cong :premises (@p107 @p106) :args (@t60)) % 105.47/105.81 (step @p109 :rule cong :premises (@p108 @p101) :args (@t61)) % 105.47/105.81 (step @p110 :rule cong :premises (@p109) :args (@t62)) % 105.47/105.81 (step @p111 :rule trans :premises (@p110 @p91)) % 105.47/105.81 (step @p112 :rule arith_poly_norm :args ((= (* -1 (- @t47 @t124)) (* -1 (- @t122 1))))) % 105.47/105.81 (step @p113 :rule arith_poly_norm_rel :premises (@p112) :args ((= @t126 @t125))) % 105.47/105.81 (step @p114 :rule cong :premises (@p113) :args ((not @t126))) % 105.47/105.81 (step @p115 :rule arith-leq-norm :args (@t47 @t123)) % 105.47/105.81 (step @p116 :rule trans :premises (@p115 @p114)) % 105.47/105.81 (step @p117 :rule arith_poly_norm :args ((= @t127 @t123))) % 105.47/105.81 (step @p118 :rule arith_poly_norm :args ((= @t64 @t127))) % 105.47/105.81 (step @p119 :rule trans :premises (@p118 @p117)) % 105.47/105.81 (step @p120 :rule refl :args (@t47)) % 105.47/105.81 (step @p121 :rule cong :premises (@p120 @p119) :args (@t65)) % 105.47/105.81 (step @p122 :rule trans :premises (@p121 @p116)) % 105.47/105.81 (step @p123 :rule arith-elim-leq :args (0 @t47)) % 105.47/105.81 (step @p124 :rule arith_poly_norm :args ((= (* -1 (- @t53 @t130)) (* -1 (- @t128 1))))) % 105.47/105.81 (step @p125 :rule arith_poly_norm_rel :premises (@p124) :args ((= @t132 @t131))) % 105.47/105.81 (step @p126 :rule cong :premises (@p125) :args ((not @t132))) % 105.47/105.81 (step @p127 :rule arith-leq-norm :args (@t53 @t129)) % 105.47/105.81 (step @p128 :rule trans :premises (@p127 @p126)) % 105.47/105.81 (step @p129 :rule arith_poly_norm :args ((= @t133 @t129))) % 105.47/105.81 (step @p130 :rule arith_poly_norm :args ((= @t68 @t133))) % 105.47/105.81 (step @p131 :rule trans :premises (@p130 @p129)) % 105.47/105.81 (step @p132 :rule refl :args (@t53)) % 105.47/105.81 (step @p133 :rule cong :premises (@p132 @p131) :args (@t69)) % 105.47/105.81 (step @p134 :rule trans :premises (@p133 @p128)) % 105.47/105.81 (step @p135 :rule arith-elim-leq :args (0 @t53)) % 105.47/105.81 (step @p136 :rule nary_cong :premises (@p135 @p134 @p123 @p122 @p111) :args (@t71)) % 105.47/105.81 (step @p137 :rule cong :premises (@p66 @p136) :args (@t73)) % 105.47/105.81 (step @p138 :rule cong :premises (@p137) :args (@t75)) % 105.47/105.81 (step @p139 :rule eq_resolve :premises (@p39 @p138)) % 105.47/105.81 (step @p140 :rule refl :args (@t138)) % 105.47/105.81 (step @p141 :rule refl :args (1)) % 105.47/105.81 (step @p142 :rule arith_poly_norm :args ((= @t142 @t141))) % 105.47/105.81 (step @p143 :rule cong :premises (@p142 @p141) :args (@t143)) % 105.47/105.81 (step @p144 :rule cong :premises (@p143) :args (@t144)) % 105.47/105.81 (step @p145 :rule refl :args (@t145)) % 105.47/105.81 (step @p146 :rule arith_poly_norm :args ((= @t149 @t148))) % 105.47/105.81 (step @p147 :rule cong :premises (@p146 @p141) :args (@t150)) % 105.47/105.81 (step @p148 :rule cong :premises (@p147) :args (@t151)) % 105.47/105.81 (step @p149 :rule refl :args (@t152)) % 105.47/105.81 (step @p150 :rule nary_cong :premises (@p149 @p148 @p145 @p144 @p140) :args (@t153)) % 105.47/105.81 (step @p151 :rule refl :args (@t105)) % 105.47/105.81 (step @p152 :rule cong :premises (@p151 @p150) :args (@t154)) % 105.47/105.81 (step @p153 :rule refl :args (@t155)) % 105.47/105.81 (step @p154 :rule cong :premises (@p153 @p152) :args ((=> @t155 @t154))) % 105.47/105.81 (assume-push @p421 @t155) % 105.47/105.81 (step @p156 :rule instantiate :premises (@p139) :args ((@list @t102 @t101 @t100 @t99 @t96))) % 105.47/105.81 (step-pop @p422 :rule scope :premises (@p156)) % 105.47/105.81 (step @p157 :rule process_scope :premises (@p422) :args (@t154)) % 105.47/105.81 (step @p159 :rule eq_resolve :premises (@p157 @p154)) % 105.47/105.81 (step @p160 :rule implies_elim :premises (@p159)) % 105.47/105.81 (step @p161 :rule chain_m_resolution :premises (@p160 @p139) :args (@t161 @t162 @t163)) % 105.47/105.81 (step @p162 :rule bool-double-not-elim :args (@t105)) % 105.47/105.81 (step @p163 :rule nary_cong :premises (@p74 @p162) :args ((or @t107 (not @t106)))) % 105.47/105.81 (step @p164 :rule cnf_or_neg :args (@t107 0)) % 105.47/105.81 (step @p165 :rule eq_resolve :premises (@p164 @p163)) % 105.47/105.81 (step @p166 :rule reordering :premises (@p165) :args ((or @t105 @t107))) % 105.47/105.81 (step @p167 :rule chain_m_resolution :premises (@p166 @p72) :args (@t105 @t108 @t109)) % 105.47/105.81 (step @p168 :rule cnf_equiv_pos1 :args (@t161)) % 105.47/105.81 (step @p169 :rule reordering :premises (@p168) :args ((or @t106 @t160 (not @t161)))) % 105.47/105.81 (step @p170 :rule chain_m_resolution :premises (@p169 @p167 @p161) :args (@t160 (@list false false) (@list @t105 @t161))) % 105.47/105.81 (step @p171 :rule cnf_and_pos :args (@t160 2)) % 105.47/105.81 (step @p172 :rule reordering :premises (@p171) :args ((or @t145 @t164))) % 105.47/105.81 (step @p173 :rule chain_m_resolution :premises (@p172 @p170) :args (@t145 @t162 @t165)) % 105.47/105.81 (step @p174 :rule cnf_and_pos :args (@t160 0)) % 105.47/105.81 (step @p175 :rule reordering :premises (@p174) :args ((or @t152 @t164))) % 105.47/105.81 (step @p176 :rule chain_m_resolution :premises (@p175 @p170) :args (@t152 @t162 @t165)) % 105.47/105.81 (step @p177 :rule refl :args (@t166)) % 105.47/105.81 (step @p178 :rule arith_poly_norm :args ((= @t168 @t167))) % 105.47/105.81 (step @p179 :rule cong :premises (@p178 @p141) :args (@t169)) % 105.47/105.81 (step @p180 :rule cong :premises (@p179) :args (@t170)) % 105.47/105.81 (step @p181 :rule arith_poly_norm :args ((= @t172 @t171))) % 105.47/105.81 (step @p182 :rule cong :premises (@p181 @p141) :args (@t173)) % 105.47/105.81 (step @p183 :rule cong :premises (@p182) :args (@t174)) % 105.47/105.81 (step @p184 :rule nary_cong :premises (@p149 @p183 @p145 @p180 @p177) :args (@t175)) % 105.47/105.81 (step @p185 :rule refl :args (@t103)) % 105.47/105.81 (step @p186 :rule cong :premises (@p185 @p184) :args (@t176)) % 105.47/105.81 (step @p187 :rule cong :premises (@p153 @p186) :args ((=> @t155 @t176))) % 105.47/105.81 (assume-push @p423 @t155) % 105.47/105.81 (step @p189 :rule instantiate :premises (@p139) :args ((@list @t102 @t101 @t100 @t99 @t94))) % 105.47/105.81 (step-pop @p424 :rule scope :premises (@p189)) % 105.47/105.81 (step @p190 :rule process_scope :premises (@p424) :args (@t176)) % 105.47/105.81 (step @p192 :rule eq_resolve :premises (@p190 @p187)) % 105.47/105.81 (step @p193 :rule implies_elim :premises (@p192)) % 105.47/105.81 (step @p194 :rule chain_m_resolution :premises (@p193 @p139) :args (@t182 @t162 @t163)) % 105.47/105.81 (step @p195 :rule cnf_or_neg :args (@t107 2)) % 105.47/105.81 (step @p196 :rule chain_m_resolution :premises (@p195 @p72) :args ((not @t103) @t108 @t109)) % 105.47/105.81 (step @p197 :rule cnf_equiv_pos2 :args (@t182)) % 105.47/105.81 (step @p198 :rule reordering :premises (@p197) :args ((or @t103 @t183 (not @t182)))) % 105.47/105.81 (step @p199 :rule chain_m_resolution :premises (@p198 @p196 @p194) :args (@t183 (@list true false) (@list @t103 @t182))) % 105.47/105.81 (step @p200 :rule cnf_and_pos :args (@t160 3)) % 105.47/105.81 (step @p201 :rule reordering :premises (@p200) :args ((or @t157 @t164))) % 105.47/105.81 (step @p202 :rule chain_m_resolution :premises (@p201 @p170) :args (@t157 @t162 @t165)) % 105.47/105.81 (step @p203 :rule refl :args (@t178)) % 105.47/105.81 (step @p204 :rule refl :args (@t104)) % 105.47/105.81 (step @p205 :rule bool-double-not-elim :args (@t156)) % 105.47/105.81 (step @p206 :rule nary_cong :premises (@p205 @p204 @p203) :args ((or (not @t157) @t104 @t178))) % 105.47/105.81 (assume-push @p425 @t157) % 105.47/105.81 (assume-push @p426 @t98) % 105.47/105.81 (assume-push @p427 @t177) % 105.47/105.81 (step @p210 :rule evaluate :args (@t184)) % 105.47/105.81 (step @p211 :rule evaluate :args (@t185)) % 105.47/105.81 (step @p212 :rule evaluate :args (@t186)) % 105.47/105.81 (step @p213 :rule refl :args (0)) % 105.47/105.81 (step @p214 :rule nary_cong :premises (@p212 @p213 @p212) :args (@t187)) % 105.47/105.81 (step @p215 :rule trans :premises (@p214 @p211)) % 105.47/105.81 (step @p216 :rule arith_poly_norm :args (@t188)) % 105.47/105.81 (step @p217 :rule arith_poly_norm :args ((= @t189 0))) % 105.47/105.81 (step @p218 :rule arith_poly_norm :args (@t191)) % 105.47/105.81 (step @p219 :rule refl :args (@t95)) % 105.47/105.81 (step @p220 :rule refl :args (@t94)) % 105.47/105.81 (step @p221 :rule arith_poly_norm :args ((= @t192 0))) % 105.47/105.81 (step @p222 :rule nary_cong :premises (@p221 @p220 @p219 @p218 @p217) :args (@t193)) % 105.47/105.81 (step @p223 :rule trans :premises (@p222 @p216)) % 105.47/105.81 (step @p224 :rule arith_poly_norm :args ((= @t195 @t193))) % 105.47/105.81 (step @p225 :rule trans :premises (@p224 @p223)) % 105.47/105.81 (step @p226 :rule cong :premises (@p225 @p215) :args ((<= @t195 @t187))) % 105.47/105.81 (step @p227 :rule trans :premises (@p226 @p210)) % 105.47/105.81 (step @p228 :rule arith_mult_neg :args (-1 @t98)) % 105.47/105.81 (step @p229 :rule evaluate :args (@t196)) % 105.47/105.81 (step @p230 :rule true_elim :premises (@p229)) % 105.47/105.81 (step @p231 :rule and_intro :premises (@p230 @p79)) % 105.47/105.81 (step @p232 :rule modus_ponens :premises (@p231 @p228)) % 105.47/105.81 (step @p233 :rule arith-elim-lt :args (@t141 1)) % 105.47/105.81 (step @p234 :rule symm :premises (@p233)) % 105.47/105.81 (step @p235 :rule eq_resolve :premises (@p202 @p234)) % 105.47/105.81 (step @p236 :rule int_tight_ub :premises (@p235)) % 105.47/105.81 (step @p237 :rule arith_mult_neg :args (-1 @t177)) % 105.47/105.81 (step @p238 :rule and_intro :premises (@p230 @p427)) % 105.47/105.81 (step @p239 :rule modus_ponens :premises (@p238 @p237)) % 105.47/105.81 (step @p240 :rule arith_sum_ub :premises (@p239 @p236 @p232)) % 105.47/105.81 (step @p241 false :rule eq_resolve :premises (@p240 @p227)) % 105.47/105.81 (step-pop @p428 :rule scope :premises (@p241)) % 105.47/105.81 (step-pop @p429 :rule scope :premises (@p428)) % 105.47/105.81 (step-pop @p430 :rule scope :premises (@p429)) % 105.47/105.81 (step @p242 :rule process_scope :premises (@p430) :args (false)) % 105.47/105.81 (step @p246 :rule not_and :premises (@p242)) % 105.47/105.81 (step @p247 :rule eq_resolve :premises (@p246 @p206)) % 105.47/105.81 (step @p248 :rule reordering :premises (@p247) :args ((or @t104 @t156 @t178))) % 105.47/105.81 (step @p249 :rule chain_m_resolution :premises (@p248 @p79 @p202) :args (@t178 @t197 (@list @t98 @t156))) % 105.47/105.81 (step @p250 :rule cnf_and_pos :args (@t160 1)) % 105.47/105.81 (step @p251 :rule reordering :premises (@p250) :args ((or @t159 @t164))) % 105.47/105.81 (step @p252 :rule chain_m_resolution :premises (@p251 @p170) :args (@t159 @t162 @t165)) % 105.47/105.81 (step @p253 :rule refl :args (@t180)) % 105.47/105.81 (step @p254 :rule bool-double-not-elim :args (@t158)) % 105.47/105.81 (step @p255 :rule nary_cong :premises (@p254 @p204 @p253) :args ((or (not @t159) @t104 @t180))) % 105.47/105.81 (assume-push @p431 @t159) % 105.47/105.81 (assume-push @p432 @t98) % 105.47/105.81 (assume-push @p433 @t179) % 105.47/105.81 (step @p210 :rule evaluate :args (@t184)) % 105.47/105.81 (step @p211 :rule evaluate :args (@t185)) % 105.47/105.81 (step @p212 :rule evaluate :args (@t186)) % 105.47/105.81 (step @p213 :rule refl :args (0)) % 105.47/105.81 (step @p214 :rule nary_cong :premises (@p212 @p213 @p212) :args (@t187)) % 105.47/105.81 (step @p215 :rule trans :premises (@p214 @p211)) % 105.47/105.81 (step @p216 :rule arith_poly_norm :args (@t188)) % 105.47/105.81 (step @p259 :rule arith_poly_norm :args ((= @t198 0))) % 105.47/105.81 (step @p218 :rule arith_poly_norm :args (@t191)) % 105.47/105.81 (step @p219 :rule refl :args (@t95)) % 105.47/105.81 (step @p220 :rule refl :args (@t94)) % 105.47/105.81 (step @p260 :rule arith_poly_norm :args ((= @t199 0))) % 105.47/105.81 (step @p261 :rule nary_cong :premises (@p260 @p220 @p219 @p218 @p259) :args (@t200)) % 105.47/105.81 (step @p262 :rule trans :premises (@p261 @p216)) % 105.47/105.81 (step @p263 :rule arith_poly_norm :args ((= @t201 @t200))) % 105.47/105.81 (step @p264 :rule trans :premises (@p263 @p262)) % 105.47/105.81 (step @p265 :rule cong :premises (@p264 @p215) :args ((<= @t201 @t187))) % 105.47/105.81 (step @p266 :rule trans :premises (@p265 @p210)) % 105.47/105.81 (step @p228 :rule arith_mult_neg :args (-1 @t98)) % 105.47/105.81 (step @p229 :rule evaluate :args (@t196)) % 105.47/105.81 (step @p230 :rule true_elim :premises (@p229)) % 105.47/105.81 (step @p231 :rule and_intro :premises (@p230 @p79)) % 105.47/105.81 (step @p232 :rule modus_ponens :premises (@p231 @p228)) % 105.47/105.81 (step @p267 :rule arith-elim-lt :args (@t148 1)) % 105.47/105.81 (step @p268 :rule symm :premises (@p267)) % 105.47/105.81 (step @p269 :rule eq_resolve :premises (@p252 @p268)) % 105.47/105.81 (step @p270 :rule int_tight_ub :premises (@p269)) % 105.47/105.81 (step @p271 :rule arith_mult_neg :args (-1 @t179)) % 105.47/105.81 (step @p272 :rule and_intro :premises (@p230 @p433)) % 105.47/105.81 (step @p273 :rule modus_ponens :premises (@p272 @p271)) % 105.47/105.81 (step @p274 :rule arith_sum_ub :premises (@p273 @p270 @p232)) % 105.47/105.81 (step @p275 false :rule eq_resolve :premises (@p274 @p266)) % 105.47/105.81 (step-pop @p434 :rule scope :premises (@p275)) % 105.47/105.81 (step-pop @p435 :rule scope :premises (@p434)) % 105.47/105.81 (step-pop @p436 :rule scope :premises (@p435)) % 105.47/105.81 (step @p276 :rule process_scope :premises (@p436) :args (false)) % 105.47/105.81 (step @p280 :rule not_and :premises (@p276)) % 105.47/105.81 (step @p281 :rule eq_resolve :premises (@p280 @p255)) % 105.47/105.81 (step @p282 :rule reordering :premises (@p281) :args ((or @t104 @t158 @t180))) % 105.47/105.81 (step @p283 :rule chain_m_resolution :premises (@p282 @p79 @p252) :args (@t180 @t197 (@list @t98 @t158))) % 105.47/105.81 (step @p284 :rule refl :args (@t202)) % 105.47/105.81 (step @p285 :rule bool-double-not-elim :args (@t177)) % 105.47/105.81 (step @p286 :rule refl :args (@t203)) % 105.47/105.81 (step @p287 :rule bool-double-not-elim :args (@t179)) % 105.47/105.81 (step @p288 :rule refl :args (@t204)) % 105.47/105.81 (step @p289 :rule refl :args (@t181)) % 105.47/105.81 (step @p290 :rule nary_cong :premises (@p289 @p288 @p287 @p286 @p285 @p284) :args ((or @t181 @t204 (not @t180) @t203 (not @t178) @t202))) % 105.47/105.81 (step @p291 :rule cnf_and_neg :args (@t181)) % 105.47/105.81 (step @p292 :rule eq_resolve :premises (@p291 @p290)) % 105.47/105.81 (step @p293 :rule reordering :premises (@p292) :args ((or @t179 @t177 @t181 @t204 @t203 @t202))) % 105.47/105.81 (step @p294 :rule chain_m_resolution :premises (@p293 @p283 @p249 @p199 @p176 @p173) :args (@t202 (@list true true true false false) (@list @t179 @t177 @t181 @t152 @t145))) % 105.47/105.81 (step @p295 :rule refl :args (@t216)) % 105.47/105.81 (step @p296 :rule bool-double-not-elim :args (@t166)) % 105.47/105.81 (step @p297 :rule nary_cong :premises (@p296 @p295) :args ((or (not @t202) @t216))) % 105.47/105.81 (step @p298 :rule arith_poly_norm :args ((= @t217 @t206))) % 105.47/105.81 (step @p299 :rule refl :args (@t134)) % 105.47/105.81 (step @p300 :rule cong :premises (@p94 @p299 @p298) :args (@t218)) % 105.47/105.81 (step @p301 :rule cong :premises (@p300) :args (@t219)) % 105.47/105.81 (step @p302 :rule arith_poly_norm :args ((= @t220 @t207))) % 105.47/105.81 (step @p303 :rule refl :args (@t135)) % 105.47/105.81 (step @p304 :rule cong :premises (@p94 @p303 @p302) :args (@t221)) % 105.47/105.81 (step @p305 :rule cong :premises (@p304) :args (@t222)) % 105.47/105.81 (step @p306 :rule cong :premises (@p305 @p301) :args (@t223)) % 105.47/105.81 (step @p307 :rule arith_poly_norm :args ((= (* -1 (- 1 @t225)) (* -1 (- @t224 0))))) % 105.47/105.81 (step @p308 :rule arith_poly_norm_rel :premises (@p307) :args ((= (>= 1 @t225) (>= @t224 0)))) % 105.47/105.81 (step @p309 :rule arith-geq-tighten :args (@t210 1)) % 105.47/105.81 (step @p310 :rule trans :premises (@p309 @p308)) % 105.47/105.81 (step @p311 :rule symm :premises (@p310)) % 105.47/105.81 (step @p213 :rule refl :args (0)) % 105.47/105.81 (step @p312 :rule arith_poly_norm :args ((= @t226 @t224))) % 105.47/105.81 (step @p313 :rule cong :premises (@p312 @p213) :args (@t227)) % 105.47/105.81 (step @p314 :rule trans :premises (@p313 @p311)) % 105.47/105.81 (step @p315 :rule refl :args (@t214)) % 105.47/105.81 (step @p316 :rule nary_cong :premises (@p315 @p314 @p306) :args (@t228)) % 105.47/105.81 (step @p317 :rule cong :premises (@p316) :args (@t229)) % 105.47/105.81 (step @p318 :rule cong :premises (@p284 @p317) :args ((=> @t202 @t229))) % 105.47/105.81 (assume-push @p437 @t202) % 105.47/105.81 (step @p320 :rule skolemize :premises (@p437)) % 105.47/105.81 (step-pop @p438 :rule scope :premises (@p320)) % 105.47/105.81 (step @p321 :rule process_scope :premises (@p438) :args (@t229)) % 105.47/105.81 (step @p323 :rule eq_resolve :premises (@p321 @p318)) % 105.47/105.81 (step @p324 :rule implies_elim :premises (@p323)) % 105.47/105.81 (step @p325 :rule eq_resolve :premises (@p324 @p297)) % 105.47/105.81 (step @p326 :rule chain_m_resolution :premises (@p325 @p294) :args (@t216 @t108 (@list @t166))) % 105.47/105.81 (step @p327 :rule bool-double-not-elim :args (@t211)) % 105.47/105.81 (step @p328 :rule refl :args (@t215)) % 105.47/105.81 (step @p329 :rule nary_cong :premises (@p328 @p327) :args ((or @t215 (not @t212)))) % 105.47/105.81 (step @p330 :rule cnf_or_neg :args (@t215 1)) % 105.47/105.81 (step @p331 :rule eq_resolve :premises (@p330 @p329)) % 105.47/105.81 (step @p332 :rule reordering :premises (@p331) :args ((or @t211 @t215))) % 105.47/105.81 (step @p333 :rule chain_m_resolution :premises (@p332 @p326) :args (@t211 @t108 @t230)) % 105.47/105.81 (step @p334 :rule cnf_and_pos :args (@t160 4)) % 105.47/105.81 (step @p335 :rule reordering :premises (@p334) :args ((or @t138 @t164))) % 105.47/105.81 (step @p336 :rule chain_m_resolution :premises (@p335 @p170) :args (@t138 @t162 @t165)) % 105.47/105.81 (step @p337 :rule arith_poly_norm :args ((= (* -1 (- 1 @t233)) (* -1 (- @t231 0))))) % 105.47/105.81 (step @p338 :rule arith_poly_norm_rel :premises (@p337) :args ((= (>= 1 @t233) (>= @t231 0)))) % 105.47/105.81 (step @p339 :rule arith-geq-tighten :args (@t232 1)) % 105.47/105.81 (step @p340 :rule trans :premises (@p339 @p338)) % 105.47/105.81 (step @p341 :rule symm :premises (@p340)) % 105.47/105.81 (step @p342 :rule arith_poly_norm :args ((= @t234 @t231))) % 105.47/105.81 (step @p343 :rule cong :premises (@p342 @p213) :args (@t235)) % 105.47/105.81 (step @p344 :rule trans :premises (@p343 @p341)) % 105.47/105.81 (step @p345 :rule nary_cong :premises (@p315 @p344 @p306) :args (@t236)) % 105.47/105.81 (step @p346 :rule cong :premises (@p140 @p345) :args ((=> @t138 @t236))) % 105.47/105.81 (assume-push @p439 @t138) % 105.47/105.81 (step @p348 :rule instantiate :premises (@p336) :args ((@list @t205))) % 105.47/105.81 (step-pop @p440 :rule scope :premises (@p348)) % 105.47/105.81 (step @p349 :rule process_scope :premises (@p440) :args (@t236)) % 105.47/105.81 (step @p351 :rule eq_resolve :premises (@p349 @p346)) % 105.47/105.81 (step @p352 :rule implies_elim :premises (@p351)) % 105.47/105.81 (step @p353 :rule chain_m_resolution :premises (@p352 @p336) :args (@t239 @t162 (@list @t138))) % 105.47/105.81 (step @p354 :rule cnf_or_neg :args (@t215 2)) % 105.47/105.81 (step @p355 :rule chain_m_resolution :premises (@p354 @p326) :args ((not @t208) @t108 @t230)) % 105.47/105.81 (step @p356 :rule bool-double-not-elim :args (@t213)) % 105.47/105.81 (step @p357 :rule nary_cong :premises (@p328 @p356) :args ((or @t215 (not @t214)))) % 105.47/105.81 (step @p358 :rule cnf_or_neg :args (@t215 0)) % 105.47/105.81 (step @p359 :rule eq_resolve :premises (@p358 @p357)) % 105.47/105.81 (step @p360 :rule reordering :premises (@p359) :args ((or @t213 @t215))) % 105.47/105.81 (step @p361 :rule chain_m_resolution :premises (@p360 @p326) :args (@t213 @t108 @t230)) % 105.47/105.81 (step @p362 :rule cnf_or_pos :args (@t239)) % 105.47/105.81 (step @p363 :rule reordering :premises (@p362) :args ((or @t214 @t208 @t238 (not @t239)))) % 105.47/105.81 (step @p364 :rule chain_m_resolution :premises (@p363 @p361 @p355 @p353) :args (@t238 (@list false true false) (@list @t213 @t208 @t239))) % 105.47/105.81 (step @p365 :rule bool-double-not-elim :args (@t237)) % 105.47/105.81 (step @p366 :rule refl :args (@t212)) % 105.47/105.81 (step @p367 :rule nary_cong :premises (@p204 @p366 @p365) :args ((or @t104 @t212 (not @t238)))) % 105.47/105.81 (assume-push @p441 @t238) % 105.47/105.81 (assume-push @p442 @t98) % 105.47/105.81 (assume-push @p443 @t211) % 105.47/105.81 (step @p371 :rule arith-elim-lt :args (@t210 1)) % 105.47/105.81 (step @p372 :rule symm :premises (@p371)) % 105.47/105.81 (assume-push @p444 @t211) % 105.47/105.81 (step @p374 :rule evaluate :args ((not true))) % 105.47/105.81 (step @p375 :rule evaluate :args ((>= 0 -1))) % 105.47/105.81 (step @p376 :rule evaluate :args ((+ -1 -1 1))) % 105.47/105.81 (step @p212 :rule evaluate :args (@t186)) % 105.47/105.81 (step @p377 :rule nary_cong :premises (@p212 @p212 @p141) :args (@t240)) % 105.47/105.81 (step @p378 :rule trans :premises (@p377 @p376)) % 105.47/105.81 (step @p379 :rule arith_poly_norm :args ((= (+ 0 @t94 @t95 0) 0))) % 105.47/105.81 (step @p218 :rule arith_poly_norm :args (@t191)) % 105.47/105.81 (step @p219 :rule refl :args (@t95)) % 105.47/105.81 (step @p220 :rule refl :args (@t94)) % 105.47/105.81 (step @p380 :rule arith_poly_norm :args ((= @t241 0))) % 105.47/105.81 (step @p381 :rule nary_cong :premises (@p380 @p220 @p219 @p218) :args (@t242)) % 105.47/105.81 (step @p382 :rule trans :premises (@p381 @p379)) % 105.47/105.81 (step @p383 :rule arith_poly_norm :args ((= @t243 @t242))) % 105.47/105.81 (step @p384 :rule trans :premises (@p383 @p382)) % 105.47/105.81 (step @p385 :rule cong :premises (@p384 @p378) :args (@t244)) % 105.47/105.81 (step @p386 :rule trans :premises (@p385 @p375)) % 105.47/105.81 (step @p387 :rule cong :premises (@p386) :args ((not @t244))) % 105.47/105.81 (step @p388 :rule trans :premises (@p387 @p374)) % 105.47/105.81 (step @p389 :rule arith-elim-lt :args (@t243 @t240)) % 105.47/105.81 (step @p390 :rule trans :premises (@p389 @p388)) % 105.47/105.81 (step @p391 :rule arith-elim-lt :args (@t232 1)) % 105.47/105.81 (step @p392 :rule symm :premises (@p391)) % 105.47/105.81 (step @p393 :rule eq_resolve :premises (@p441 @p392)) % 105.47/105.81 (step @p228 :rule arith_mult_neg :args (-1 @t98)) % 105.47/105.81 (step @p229 :rule evaluate :args (@t196)) % 105.47/105.81 (step @p230 :rule true_elim :premises (@p229)) % 105.47/105.82 (step @p231 :rule and_intro :premises (@p230 @p79)) % 105.47/105.82 (step @p232 :rule modus_ponens :premises (@p231 @p228)) % 105.47/105.82 (step @p394 :rule arith_mult_neg :args (-1 @t211)) % 105.47/105.82 (step @p395 :rule and_intro :premises (@p230 @p443)) % 105.47/105.82 (step @p396 :rule modus_ponens :premises (@p395 @p394)) % 105.47/105.82 (step @p397 :rule arith_sum_ub :premises (@p396 @p232 @p393)) % 105.47/105.82 (step @p398 false :rule eq_resolve :premises (@p397 @p390)) % 105.47/105.82 (step-pop @p445 :rule scope :premises (@p398)) % 105.47/105.82 (step @p399 :rule process_scope :premises (@p445) :args (false)) % 105.47/105.82 (step @p401 :rule eq_resolve :premises (@p399 @p372)) % 105.47/105.82 (step @p402 :rule eq_resolve :premises (@p401 @p371)) % 105.47/105.82 (step @p403 false :rule contra :premises (@p443 @p402)) % 105.47/105.82 (step-pop @p446 :rule scope :premises (@p403)) % 105.47/105.82 (step-pop @p447 :rule scope :premises (@p446)) % 105.47/105.82 (step-pop @p448 :rule scope :premises (@p447)) % 105.47/105.82 (step @p404 :rule process_scope :premises (@p448) :args (false)) % 105.47/105.82 (assume-push @p449 @t98) % 105.47/105.82 (assume-push @p450 @t211) % 105.47/105.82 (assume-push @p451 @t238) % 105.47/105.82 (step @p411 :rule and_intro :premises (@p451 @p79 @p450)) % 105.47/105.82 (step-pop @p452 :rule scope :premises (@p411)) % 105.47/105.82 (step-pop @p453 :rule scope :premises (@p452)) % 105.47/105.82 (step-pop @p454 :rule scope :premises (@p453)) % 105.47/105.82 (step @p412 :rule process_scope :premises (@p454) :args (@t245)) % 105.47/105.82 (step @p416 :rule implies_elim :premises (@p412)) % 105.47/105.82 (step @p417 :rule resolution :premises (@p416 @p404) :args (true @t245)) % 105.47/105.82 (step @p418 :rule not_and :premises (@p417)) % 105.47/105.82 (step @p419 :rule eq_resolve :premises (@p418 @p367)) % 105.47/105.82 (step @p420 false :rule chain_m_resolution :premises (@p419 @p364 @p333 @p79) :args (false (@list true false false) (@list @t237 @t211 @t98))) % 105.47/105.82 ) % 105.47/105.82 % SZS output end Proof % 105.47/105.82 % cvc5 exiting %------------------------------------------------------------------------------