%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW643_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 09:05:24 AM UTC 2026 % Result : Theorem 45.85s 46.12s % Output : Proof 45.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWW643_2 : TPTP v9.2.1. Released v6.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : 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 22:20:18 EDT 2026 % 0.07/0.25 % CPUTime : % 0.16/0.34 %----Proving TF0_ARI % 45.85/46.12 --- Run --finite-model-find --decision=internal at 45... % 45.85/46.12 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 45.85/46.12 % SZS status Theorem % 45.85/46.12 % SZS output start Proof % 45.85/46.12 ( % 45.85/46.12 (declare-sort tptp.list_int 0) % 45.85/46.12 (declare-sort tptp.tuple02 0) % 45.85/46.12 (declare-sort tptp.bool1 0) % 45.85/46.12 (declare-sort tptp.ty 0) % 45.85/46.12 (declare-sort tptp.uni 0) % 45.85/46.12 (declare-const tptp.length1 (-> tptp.ty tptp.uni Int)) % 45.85/46.12 (declare-const tptp.sorted1 (-> tptp.list_int Bool)) % 45.85/46.12 (declare-const tptp.t2tb (-> tptp.list_int tptp.uni)) % 45.85/46.12 (declare-const tptp.tuple03 tptp.tuple02) % 45.85/46.12 (declare-const tptp.cons (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 45.85/46.12 (declare-const tptp.sort1 (-> tptp.ty tptp.uni Bool)) % 45.85/46.12 (declare-const tptp.tb2t (-> tptp.uni tptp.list_int)) % 45.85/46.12 (declare-const tptp.mem (-> tptp.ty tptp.uni tptp.uni Bool)) % 45.85/46.12 (declare-const tptp.match_bool1 (-> tptp.ty tptp.bool1 tptp.uni tptp.uni tptp.uni)) % 45.85/46.12 (declare-const tptp.cons_proj_21 (-> tptp.ty tptp.uni tptp.uni)) % 45.85/46.12 (declare-const tptp.true1 tptp.bool1) % 45.85/46.12 (declare-const tptp.tb2t1 (-> tptp.uni Int)) % 45.85/46.12 (declare-const tptp.false1 tptp.bool1) % 45.85/46.12 (declare-const tptp.infix_plpl (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 45.85/46.12 (declare-const tptp.t2tb1 (-> Int tptp.uni)) % 45.85/46.12 (declare-const tptp.list (-> tptp.ty tptp.ty)) % 45.85/46.12 (declare-const tptp.int tptp.ty) % 45.85/46.12 (declare-const tptp.witness1 (-> tptp.ty tptp.uni)) % 45.85/46.12 (declare-const tptp.nil (-> tptp.ty tptp.uni)) % 45.85/46.12 (declare-const tptp.match_list1 (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 45.85/46.12 (declare-const tptp.cons_proj_11 (-> tptp.ty tptp.uni tptp.uni)) % 45.85/46.12 (define @t1 () (@var "A" tptp.ty)) % 45.85/46.12 (define @t2 () (@list @t1)) % 45.85/46.12 (define @t3 () (@var "X2" tptp.uni)) % 45.85/46.12 (define @t4 () (@var "X1" tptp.uni)) % 45.85/46.12 (define @t5 () (@var "X" tptp.bool1)) % 45.85/46.12 (define @t6 () (@var "Z" tptp.uni)) % 45.85/46.12 (define @t7 () (@var "Z1" tptp.uni)) % 45.85/46.12 (define @t8 () (@list @t1 @t6 @t7)) % 45.85/46.12 (define @t9 () (@var "U" tptp.bool1)) % 45.85/46.12 (define @t10 () (@var "U" tptp.tuple02)) % 45.85/46.12 (define @t11 () (@var "Z" Int)) % 45.85/46.12 (define @t12 () (@var "Y" Int)) % 45.85/46.12 (define @t13 () (@var "X" Int)) % 45.85/46.12 (define @t14 () (<= @t13 @t12)) % 45.85/46.12 (define @t15 () (tptp.nil @t1)) % 45.85/46.12 (define @t16 () (tptp.list @t1)) % 45.85/46.12 (define @t17 () (@var "X" tptp.uni)) % 45.85/46.12 (define @t18 () (tptp.cons @t1 @t17 @t4)) % 45.85/46.12 (define @t19 () (@list @t1 @t17 @t4)) % 45.85/46.12 (define @t20 () (@var "A1" tptp.ty)) % 45.85/46.12 (define @t21 () (@var "U1" tptp.uni)) % 45.85/46.12 (define @t22 () (@var "U" tptp.uni)) % 45.85/46.12 (define @t23 () (tptp.cons @t1 @t22 @t21)) % 45.85/46.12 (define @t24 () (@var "V1" tptp.uni)) % 45.85/46.12 (define @t25 () (@var "V" tptp.uni)) % 45.85/46.12 (define @t26 () (forall (@list @t1 @t25 @t24) (not (= @t15 (tptp.cons @t1 @t25 @t24))))) % 45.85/46.12 (define @t27 () (@list @t1 @t17)) % 45.85/46.12 (define @t28 () (@list @t1 @t22 @t21)) % 45.85/46.12 (define @t29 () (tptp.cons_proj_21 @t1 @t23)) % 45.85/46.12 (define @t30 () (forall @t28 (= @t29 @t21))) % 45.85/46.12 (define @t31 () (tptp.mem @t1 @t17 @t3)) % 45.85/46.12 (define @t32 () (or (= @t17 @t4) @t31)) % 45.85/46.12 (define @t33 () (tptp.mem @t1 @t17 (tptp.cons @t1 @t4 @t3))) % 45.85/46.12 (define @t34 () (= @t33 @t32)) % 45.85/46.12 (define @t35 () (tptp.sort1 @t1 @t4)) % 45.85/46.12 (define @t36 () (=> @t35 @t34)) % 45.85/46.12 (define @t37 () (@list @t4 @t3)) % 45.85/46.12 (define @t38 () (forall @t37 @t36)) % 45.85/46.12 (define @t39 () (not (tptp.mem @t1 @t17 @t15))) % 45.85/46.12 (define @t40 () (and @t39 @t38)) % 45.85/46.12 (define @t41 () (tptp.sort1 @t1 @t17)) % 45.85/46.12 (define @t42 () (=> @t41 @t40)) % 45.85/46.12 (define @t43 () (forall @t27 @t42)) % 45.85/46.12 (define @t44 () (@var "X" tptp.list_int)) % 45.85/46.12 (define @t45 () (@var "I" tptp.list_int)) % 45.85/46.12 (define @t46 () (tptp.tb2t (tptp.t2tb @t45))) % 45.85/46.12 (define @t47 () (forall (@list @t45) (= @t46 @t45))) % 45.85/46.12 (define @t48 () (@var "J" tptp.uni)) % 45.85/46.12 (define @t49 () (tptp.t2tb (tptp.tb2t @t48))) % 45.85/46.12 (define @t50 () (@list @t48)) % 45.85/46.12 (define @t51 () (forall @t50 (= @t49 @t48))) % 45.85/46.12 (define @t52 () (tptp.nil tptp.int)) % 45.85/46.12 (define @t53 () (tptp.tb2t @t52)) % 45.85/46.12 (define @t54 () (tptp.t2tb1 @t13)) % 45.85/46.12 (define @t55 () (@list @t13)) % 45.85/46.12 (define @t56 () (@var "I" Int)) % 45.85/46.12 (define @t57 () (tptp.tb2t1 (tptp.t2tb1 @t56))) % 45.85/46.12 (define @t58 () (= @t57 @t56)) % 45.85/46.12 (define @t59 () (forall (@list @t56) @t58)) % 45.85/46.12 (define @t60 () (tptp.tb2t (tptp.cons tptp.int @t54 @t52))) % 45.85/46.12 (define @t61 () (@var "L" tptp.list_int)) % 45.85/46.12 (define @t62 () (tptp.t2tb @t61)) % 45.85/46.12 (define @t63 () (tptp.t2tb1 @t12)) % 45.85/46.12 (define @t64 () (tptp.cons tptp.int @t63 @t62)) % 45.85/46.12 (define @t65 () (tptp.tb2t (tptp.cons tptp.int @t54 @t64))) % 45.85/46.12 (define @t66 () (tptp.sorted1 (tptp.tb2t @t64))) % 45.85/46.12 (define @t67 () (@list @t13 @t12 @t61)) % 45.85/46.12 (define @t68 () (@var "Z" tptp.list_int)) % 45.85/46.12 (define @t69 () (tptp.sorted1 (tptp.tb2t (tptp.cons tptp.int @t54 @t62)))) % 45.85/46.12 (define @t70 () (tptp.sorted1 @t61)) % 45.85/46.12 (define @t71 () (tptp.mem tptp.int @t63 @t62)) % 45.85/46.12 (define @t72 () (=> @t71 @t14)) % 45.85/46.12 (define @t73 () (@list @t12)) % 45.85/46.12 (define @t74 () (forall @t73 @t72)) % 45.85/46.12 (define @t75 () (and @t74 @t70)) % 45.85/46.12 (define @t76 () (= @t75 @t69)) % 45.85/46.12 (define @t77 () (@list @t13 @t61)) % 45.85/46.12 (define @t78 () (forall @t77 @t76)) % 45.85/46.12 (define @t79 () (@var "L2" tptp.uni)) % 45.85/46.12 (define @t80 () (@list @t17 @t4)) % 45.85/46.12 (define @t81 () (@var "L3" tptp.uni)) % 45.85/46.12 (define @t82 () (@var "L1" tptp.uni)) % 45.85/46.12 (define @t83 () (tptp.infix_plpl @t1 @t82 @t79)) % 45.85/46.12 (define @t84 () (@var "L" tptp.uni)) % 45.85/46.12 (define @t85 () (@list @t1 @t84)) % 45.85/46.12 (define @t86 () (tptp.length1 @t1 @t84)) % 45.85/46.12 (define @t87 () (@var "L2" tptp.list_int)) % 45.85/46.12 (define @t88 () (tptp.t2tb @t87)) % 45.85/46.12 (define @t89 () (@var "L1" tptp.list_int)) % 45.85/46.12 (define @t90 () (tptp.t2tb @t89)) % 45.85/46.12 (define @t91 () (not (tptp.mem tptp.int @t54 @t64))) % 45.85/46.12 (define @t92 () (=> @t66 @t91)) % 45.85/46.12 (define @t93 () (=> (< @t13 @t12) @t92)) % 45.85/46.12 (define @t94 () (forall @t67 @t93)) % 45.85/46.12 (define @t95 () (tptp.mem tptp.int @t54 @t62)) % 45.85/46.12 (define @t96 () (not @t95)) % 45.85/46.12 (define @t97 () (@var "X1" Int)) % 45.85/46.12 (define @t98 () (< @t97 @t13)) % 45.85/46.12 (define @t99 () (not @t98)) % 45.85/46.12 (define @t100 () (=> @t99 @t96)) % 45.85/46.12 (define @t101 () (@var "Result" tptp.bool1)) % 45.85/46.12 (define @t102 () (= @t101 tptp.true1)) % 45.85/46.12 (define @t103 () (@var "X2" tptp.list_int)) % 45.85/46.12 (define @t104 () (tptp.t2tb @t103)) % 45.85/46.12 (define @t105 () (tptp.mem tptp.int @t54 @t104)) % 45.85/46.12 (define @t106 () (= @t102 @t105)) % 45.85/46.12 (define @t107 () (=> @t106 (= @t102 @t95))) % 45.85/46.12 (define @t108 () (@list @t101)) % 45.85/46.12 (define @t109 () (forall @t108 @t107)) % 45.85/46.12 (define @t110 () (tptp.sorted1 @t103)) % 45.85/46.12 (define @t111 () (@var "X4" tptp.list_int)) % 45.85/46.12 (define @t112 () (@var "X3" Int)) % 45.85/46.12 (define @t113 () (= @t61 (tptp.tb2t (tptp.cons tptp.int (tptp.t2tb1 @t112) (tptp.t2tb @t111))))) % 45.85/46.12 (define @t114 () (=> @t113 (= @t111 @t103))) % 45.85/46.12 (define @t115 () (@list @t112 @t111)) % 45.85/46.12 (define @t116 () (forall @t115 @t114)) % 45.85/46.12 (define @t117 () (= @t61 @t53)) % 45.85/46.12 (define @t118 () (not @t117)) % 45.85/46.12 (define @t119 () (and @t118 @t116 @t110 @t109)) % 45.85/46.12 (define @t120 () (=> @t98 @t119)) % 45.85/46.12 (define @t121 () (and @t120 @t100)) % 45.85/46.12 (define @t122 () (= @t13 @t97)) % 45.85/46.12 (define @t123 () (not @t122)) % 45.85/46.12 (define @t124 () (=> @t123 @t121)) % 45.85/46.12 (define @t125 () (=> @t122 @t95)) % 45.85/46.12 (define @t126 () (and @t125 @t124)) % 45.85/46.12 (define @t127 () (= @t61 (tptp.tb2t (tptp.cons tptp.int (tptp.t2tb1 @t97) @t104)))) % 45.85/46.12 (define @t128 () (=> @t127 @t126)) % 45.85/46.12 (define @t129 () (@list @t97 @t103)) % 45.85/46.12 (define @t130 () (forall @t129 @t128)) % 45.85/46.12 (define @t131 () (=> @t117 @t96)) % 45.85/46.12 (define @t132 () (and @t131 @t130)) % 45.85/46.12 (define @t133 () (=> @t70 @t132)) % 45.85/46.12 (define @t134 () (forall @t77 @t133)) % 45.85/46.12 (define @t135 () (not @t134)) % 45.85/46.12 (define @t136 () (@var "BOUND_VARIABLE_7888" tptp.uni)) % 45.85/46.12 (define @t137 () (tptp.mem @t1 @t17 @t136)) % 45.85/46.12 (define @t138 () (@var "BOUND_VARIABLE_7886" tptp.uni)) % 45.85/46.12 (define @t139 () (or (= @t138 @t17) @t137)) % 45.85/46.12 (define @t140 () (tptp.mem @t1 @t17 (tptp.cons @t1 @t138 @t136))) % 45.85/46.12 (define @t141 () (= @t140 @t139)) % 45.85/46.12 (define @t142 () (not (tptp.sort1 @t1 @t138))) % 45.85/46.12 (define @t143 () (or @t142 @t141)) % 45.85/46.12 (define @t144 () (and @t39 @t143)) % 45.85/46.12 (define @t145 () (not @t41)) % 45.85/46.12 (define @t146 () (or @t145 @t144)) % 45.85/46.12 (define @t147 () (forall (@list @t1 @t17 @t138 @t136) @t146)) % 45.85/46.12 (define @t148 () (@list @t138 @t136)) % 45.85/46.12 (define @t149 () (forall @t148 @t146)) % 45.85/46.12 (define @t150 () (forall @t148 @t143)) % 45.85/46.12 (define @t151 () (forall @t148 @t39)) % 45.85/46.12 (define @t152 () (and @t151 @t150)) % 45.85/46.12 (define @t153 () (forall @t148 @t144)) % 45.85/46.12 (define @t154 () (or @t145 @t153)) % 45.85/46.12 (define @t155 () (= @t33 (or (= @t4 @t17) @t31))) % 45.85/46.12 (define @t156 () (and @t39 (forall @t37 (or (not @t35) @t155)))) % 45.85/46.12 (define @t157 () (@var "BOUND_VARIABLE_8156" Int)) % 45.85/46.12 (define @t158 () (>= (+ @t13 (* -1 @t157)) 1)) % 45.85/46.12 (define @t159 () (@var "BOUND_VARIABLE_8164" tptp.bool1)) % 45.85/46.12 (define @t160 () (= tptp.true1 @t159)) % 45.85/46.12 (define @t161 () (@var "BOUND_VARIABLE_8158" tptp.list_int)) % 45.85/46.12 (define @t162 () (tptp.t2tb @t161)) % 45.85/46.12 (define @t163 () (@var "BOUND_VARIABLE_8162" tptp.list_int)) % 45.85/46.12 (define @t164 () (@var "BOUND_VARIABLE_8160" Int)) % 45.85/46.12 (define @t165 () (= @t53 @t61)) % 45.85/46.12 (define @t166 () (not @t165)) % 45.85/46.12 (define @t167 () (= @t13 @t157)) % 45.85/46.12 (define @t168 () (or (not (= @t61 (tptp.tb2t (tptp.cons tptp.int (tptp.t2tb1 @t157) @t162)))) (and (or (not @t167) @t95) (or @t167 (and (or (not @t158) (and @t166 (or (not (= @t61 (tptp.tb2t (tptp.cons tptp.int (tptp.t2tb1 @t164) (tptp.t2tb @t163))))) (= @t161 @t163)) (tptp.sorted1 @t161) (or (= (not (tptp.mem tptp.int @t54 @t162)) @t160) (= @t95 @t160)))) (or @t158 @t96)))))) % 45.85/46.12 (define @t169 () (or @t166 @t96)) % 45.85/46.12 (define @t170 () (and @t169 @t168)) % 45.85/46.12 (define @t171 () (not @t70)) % 45.85/46.12 (define @t172 () (or @t171 @t170)) % 45.85/46.12 (define @t173 () (forall (@list @t13 @t61 @t157 @t161 @t164 @t163 @t159) @t172)) % 45.85/46.12 (define @t174 () (@quantifiers_skolemize @t173 3)) % 45.85/46.12 (define @t175 () (tptp.t2tb @t174)) % 45.85/46.12 (define @t176 () (@quantifiers_skolemize @t173 2)) % 45.85/46.12 (define @t177 () (tptp.t2tb1 @t176)) % 45.85/46.12 (define @t178 () (@quantifiers_skolemize @t173 0)) % 45.85/46.12 (define @t179 () (tptp.t2tb1 @t178)) % 45.85/46.12 (define @t180 () (@list @t178)) % 45.85/46.12 (define @t181 () (tptp.mem tptp.int @t179 @t175)) % 45.85/46.12 (define @t182 () (= @t179 @t177)) % 45.85/46.12 (define @t183 () (or @t182 @t181)) % 45.85/46.12 (define @t184 () (tptp.cons tptp.int @t177 @t175)) % 45.85/46.12 (define @t185 () (tptp.mem tptp.int @t179 @t184)) % 45.85/46.12 (define @t186 () (= @t185 @t183)) % 45.85/46.12 (define @t187 () (tptp.sort1 tptp.int @t177)) % 45.85/46.12 (define @t188 () (not @t187)) % 45.85/46.12 (define @t189 () (or @t188 @t186)) % 45.85/46.12 (define @t190 () (tptp.mem tptp.int @t179 @t52)) % 45.85/46.12 (define @t191 () (not @t190)) % 45.85/46.12 (define @t192 () (and @t191 @t189)) % 45.85/46.12 (define @t193 () (tptp.sort1 tptp.int @t179)) % 45.85/46.12 (define @t194 () (not @t193)) % 45.85/46.12 (define @t195 () (or @t194 @t192)) % 45.85/46.12 (define @t196 () (@list false false)) % 45.85/46.12 (define @t197 () (not @t192)) % 45.85/46.12 (define @t198 () (@list false)) % 45.85/46.12 (define @t199 () (@list @t192)) % 45.85/46.12 (define @t200 () (@quantifiers_skolemize @t173 5)) % 45.85/46.12 (define @t201 () (tptp.t2tb @t200)) % 45.85/46.12 (define @t202 () (tptp.t2tb1 (@quantifiers_skolemize @t173 4))) % 45.85/46.12 (define @t203 () (tptp.cons tptp.int @t202 @t201)) % 45.85/46.12 (define @t204 () (tptp.tb2t @t203)) % 45.85/46.12 (define @t205 () (@quantifiers_skolemize @t173 1)) % 45.85/46.12 (define @t206 () (= @t205 @t204)) % 45.85/46.12 (define @t207 () (= @t174 @t200)) % 45.85/46.12 (define @t208 () (not @t206)) % 45.85/46.12 (define @t209 () (or @t208 @t207)) % 45.85/46.12 (define @t210 () (@list tptp.int @t177 @t175)) % 45.85/46.12 (define @t211 () (tptp.tb2t @t184)) % 45.85/46.12 (define @t212 () (= @t205 @t211)) % 45.85/46.12 (define @t213 () (tptp.cons_proj_21 tptp.int @t184)) % 45.85/46.12 (define @t214 () (= @t175 @t213)) % 45.85/46.12 (define @t215 () (= @t201 (tptp.cons_proj_21 tptp.int @t203))) % 45.85/46.12 (define @t216 () (tptp.tb2t @t175)) % 45.85/46.12 (define @t217 () (= @t174 @t216)) % 45.85/46.12 (define @t218 () (= @t200 (tptp.tb2t @t201))) % 45.85/46.12 (define @t219 () (tptp.t2tb @t211)) % 45.85/46.12 (define @t220 () (= @t184 @t219)) % 45.85/46.12 (define @t221 () (= @t203 (tptp.t2tb @t204))) % 45.85/46.12 (define @t222 () (tptp.t2tb @t205)) % 45.85/46.12 (define @t223 () (and @t212 @t206 @t214 @t215 @t217 @t218 @t220 @t221)) % 45.85/46.12 (define @t224 () (not @t220)) % 45.85/46.12 (define @t225 () (not @t212)) % 45.85/46.12 (define @t226 () (= @t53 @t205)) % 45.85/46.12 (define @t227 () (tptp.t2tb @t53)) % 45.85/46.12 (define @t228 () (= @t52 @t227)) % 45.85/46.12 (define @t229 () (= @t52 @t184)) % 45.85/46.12 (define @t230 () (and @t226 @t212 @t228 @t220)) % 45.85/46.12 (define @t231 () (not @t228)) % 45.85/46.12 (define @t232 () (not @t226)) % 45.85/46.12 (define @t233 () (tptp.mem tptp.int @t179 @t222)) % 45.85/46.12 (define @t234 () (not @t233)) % 45.85/46.12 (define @t235 () (or @t232 @t234)) % 45.85/46.12 (define @t236 () (not @t232)) % 45.85/46.12 (define @t237 () (@list @t157 @t161 @t164 @t163 @t159)) % 45.85/46.12 (define @t238 () (forall @t237 @t172)) % 45.85/46.12 (define @t239 () (forall @t237 @t168)) % 45.85/46.12 (define @t240 () (@var "BOUND_VARIABLE_8125" tptp.bool1)) % 45.85/46.12 (define @t241 () (@var "BOUND_VARIABLE_8115" tptp.list_int)) % 45.85/46.12 (define @t242 () (@var "BOUND_VARIABLE_8113" Int)) % 45.85/46.12 (define @t243 () (forall @t237 @t169)) % 45.85/46.12 (define @t244 () (and @t243 @t239)) % 45.85/46.12 (define @t245 () (forall @t237 @t170)) % 45.85/46.12 (define @t246 () (or @t171 @t245)) % 45.85/46.12 (define @t247 () (+ @t13 (* -1 @t97))) % 45.85/46.12 (define @t248 () (>= @t247 1)) % 45.85/46.12 (define @t249 () (or @t248 @t96)) % 45.85/46.12 (define @t250 () (= tptp.true1 @t240)) % 45.85/46.12 (define @t251 () (= @t95 @t250)) % 45.85/46.12 (define @t252 () (not @t105)) % 45.85/46.12 (define @t253 () (or (not (= @t61 (tptp.tb2t (tptp.cons tptp.int (tptp.t2tb1 @t242) (tptp.t2tb @t241))))) (= @t103 @t241))) % 45.85/46.12 (define @t254 () (not @t248)) % 45.85/46.12 (define @t255 () (or @t123 @t95)) % 45.85/46.12 (define @t256 () (not @t127)) % 45.85/46.12 (define @t257 () (@list @t97 @t103 @t242 @t241 @t240)) % 45.85/46.12 (define @t258 () (forall @t257 (or @t256 (and @t255 (or @t122 (and (or @t254 (and @t166 @t253 @t110 (or (= @t252 @t250) @t251))) @t249)))))) % 45.85/46.12 (define @t259 () (and (=> @t165 @t96) @t258)) % 45.85/46.12 (define @t260 () (or (= @t250 @t252) @t251)) % 45.85/46.12 (define @t261 () (and @t166 @t253 @t110 @t260)) % 45.85/46.12 (define @t262 () (or @t254 @t261)) % 45.85/46.12 (define @t263 () (and @t262 @t249)) % 45.85/46.12 (define @t264 () (or @t122 @t263)) % 45.85/46.12 (define @t265 () (and @t255 @t264)) % 45.85/46.12 (define @t266 () (or @t256 @t265)) % 45.85/46.12 (define @t267 () (forall @t257 @t266)) % 45.85/46.12 (define @t268 () (@list @t242 @t241 @t240)) % 45.85/46.12 (define @t269 () (forall @t268 @t266)) % 45.85/46.12 (define @t270 () (forall @t268 @t249)) % 45.85/46.12 (define @t271 () (forall (@list @t240) @t260)) % 45.85/46.12 (define @t272 () (forall @t268 @t260)) % 45.85/46.12 (define @t273 () (forall @t268 @t110)) % 45.85/46.12 (define @t274 () (forall (@list @t242 @t241) @t253)) % 45.85/46.12 (define @t275 () (forall @t268 @t253)) % 45.85/46.12 (define @t276 () (forall @t268 @t166)) % 45.85/46.12 (define @t277 () (and @t276 @t275 @t273 @t272)) % 45.85/46.12 (define @t278 () (forall @t268 @t261)) % 45.85/46.12 (define @t279 () (or @t254 @t278)) % 45.85/46.12 (define @t280 () (forall @t268 @t262)) % 45.85/46.12 (define @t281 () (and @t280 @t270)) % 45.85/46.12 (define @t282 () (forall @t268 @t263)) % 45.85/46.12 (define @t283 () (or @t122 @t282)) % 45.85/46.12 (define @t284 () (forall @t268 @t264)) % 45.85/46.12 (define @t285 () (forall @t268 @t255)) % 45.85/46.12 (define @t286 () (and @t285 @t284)) % 45.85/46.12 (define @t287 () (forall @t268 @t265)) % 45.85/46.12 (define @t288 () (or @t256 @t287)) % 45.85/46.12 (define @t289 () (= tptp.true1 @t101)) % 45.85/46.12 (define @t290 () (= @t95 @t289)) % 45.85/46.12 (define @t291 () (= @t103 @t111)) % 45.85/46.12 (define @t292 () (and @t166 (forall @t115 (or (not @t113) @t291)) @t110 (forall @t108 (or (= @t289 @t252) @t290)))) % 45.85/46.12 (define @t293 () (and (=> @t248 @t292) (=> @t254 @t96))) % 45.85/46.12 (define @t294 () (and @t125 (=> @t123 @t293))) % 45.85/46.12 (define @t295 () (+ @t247 1)) % 45.85/46.12 (define @t296 () (>= @t97 @t13)) % 45.85/46.12 (define @t297 () (or (= @t252 @t289) @t290)) % 45.85/46.12 (define @t298 () (= @t105 @t289)) % 45.85/46.12 (define @t299 () (* -1 @t176)) % 45.85/46.12 (define @t300 () (+ @t178 @t299)) % 45.85/46.12 (define @t301 () (>= @t300 1)) % 45.85/46.12 (define @t302 () (or @t301 @t234)) % 45.85/46.12 (define @t303 () (= tptp.true1 (@quantifiers_skolemize @t173 6))) % 45.85/46.12 (define @t304 () (= @t233 @t303)) % 45.85/46.12 (define @t305 () (not @t181)) % 45.85/46.12 (define @t306 () (= @t305 @t303)) % 45.85/46.12 (define @t307 () (or @t306 @t304)) % 45.85/46.12 (define @t308 () (tptp.sorted1 @t174)) % 45.85/46.12 (define @t309 () (and @t232 @t209 @t308 @t307)) % 45.85/46.12 (define @t310 () (not @t301)) % 45.85/46.12 (define @t311 () (or @t310 @t309)) % 45.85/46.12 (define @t312 () (and @t311 @t302)) % 45.85/46.12 (define @t313 () (= @t178 @t176)) % 45.85/46.12 (define @t314 () (or @t313 @t312)) % 45.85/46.12 (define @t315 () (not @t313)) % 45.85/46.12 (define @t316 () (or @t315 @t233)) % 45.85/46.12 (define @t317 () (and @t316 @t314)) % 45.85/46.12 (define @t318 () (or @t225 @t317)) % 45.85/46.12 (define @t319 () (and @t235 @t318)) % 45.85/46.12 (define @t320 () (tptp.sorted1 @t205)) % 45.85/46.12 (define @t321 () (not @t320)) % 45.85/46.12 (define @t322 () (or @t321 @t319)) % 45.85/46.12 (define @t323 () (@list true)) % 45.85/46.12 (define @t324 () (@list @t322)) % 45.85/46.12 (define @t325 () (tptp.sorted1 @t211)) % 45.85/46.12 (define @t326 () (and @t320 @t212)) % 45.85/46.12 (define @t327 () (* -1 @t12)) % 45.85/46.12 (define @t328 () (+ @t13 @t327)) % 45.85/46.12 (define @t329 () (>= @t328 1)) % 45.85/46.12 (define @t330 () (not @t329)) % 45.85/46.12 (define @t331 () (and (forall @t73 (or (not @t71) @t330)) @t70)) % 45.85/46.12 (define @t332 () (+ @t12 1)) % 45.85/46.12 (define @t333 () (>= @t13 @t332)) % 45.85/46.12 (define @t334 () (+ @t12 @t299)) % 45.85/46.12 (define @t335 () (>= @t334 0)) % 45.85/46.12 (define @t336 () (+ @t327 @t176)) % 45.85/46.12 (define @t337 () (+ @t334 1)) % 45.85/46.12 (define @t338 () (+ @t176 @t327)) % 45.85/46.12 (define @t339 () (>= @t338 1)) % 45.85/46.12 (define @t340 () (not @t339)) % 45.85/46.12 (define @t341 () (not (tptp.mem tptp.int @t63 @t175))) % 45.85/46.12 (define @t342 () (or @t341 @t340)) % 45.85/46.12 (define @t343 () (forall @t73 @t342)) % 45.85/46.12 (define @t344 () (and @t343 @t308)) % 45.85/46.12 (define @t345 () (= @t325 @t344)) % 45.85/46.12 (define @t346 () (forall @t77 (= @t69 @t331))) % 45.85/46.12 (define @t347 () (and (forall @t73 (or @t341 @t335)) @t308)) % 45.85/46.12 (define @t348 () (= @t325 @t347)) % 45.85/46.12 (define @t349 () (not @t325)) % 45.85/46.12 (define @t350 () (forall @t50 (= @t48 @t49))) % 45.85/46.12 (define @t351 () (not @t322)) % 45.85/46.12 (define @t352 () (not @t173)) % 45.85/46.12 (define @t353 () (@list @t176)) % 45.85/46.12 (define @t354 () (not @t186)) % 45.85/46.12 (define @t355 () (not @t185)) % 45.85/46.12 (define @t356 () (and @t212 @t220 @t355)) % 45.85/46.12 (define @t357 () (not @t234)) % 45.85/46.12 (define @t358 () (not @t303)) % 45.85/46.12 (define @t359 () (not @t307)) % 45.85/46.12 (define @t360 () (not @t308)) % 45.85/46.12 (define @t361 () (not @t209)) % 45.85/46.12 (define @t362 () (not @t315)) % 45.85/46.12 (define @t363 () (not @t183)) % 45.85/46.12 (define @t364 () (not @t66)) % 45.85/46.12 (define @t365 () (>= @t328 0)) % 45.85/46.12 (define @t366 () (not @t365)) % 45.85/46.12 (define @t367 () (>= @t13 @t12)) % 45.85/46.12 (define @t368 () (>= @t300 0)) % 45.85/46.12 (define @t369 () (or @t368 @t349 @t355)) % 45.85/46.12 (define @t370 () (and @t212 @t220 @t185)) % 45.85/46.12 (define @t371 () (not @t368)) % 45.85/46.12 (define @t372 () (= @t300 0)) % 45.85/46.12 (define @t373 () (and @t315 @t368)) % 45.85/46.12 (define @t374 () (tptp.tb2t1 @t179)) % 45.85/46.12 (define @t375 () (= @t178 @t374)) % 45.85/46.12 (define @t376 () (= @t176 (tptp.tb2t1 @t177))) % 45.85/46.12 (define @t377 () (and @t375 @t376 @t182)) % 45.85/46.12 (define @t378 () (@list @t235)) % 45.85/46.12 (define @t379 () (and @t226 @t228 @t191)) % 45.85/46.12 (assume @p1 (forall @t2 (tptp.sort1 @t1 (tptp.witness1 @t1)))) % 45.85/46.12 (assume @p2 (forall (@list @t1 @t5 @t4 @t3) (tptp.sort1 @t1 (tptp.match_bool1 @t1 @t5 @t4 @t3)))) % 45.85/46.12 (assume @p3 (forall @t8 (=> (tptp.sort1 @t1 @t6) (= (tptp.match_bool1 @t1 tptp.true1 @t6 @t7) @t6)))) % 45.85/46.12 (assume @p4 (forall @t8 (=> (tptp.sort1 @t1 @t7) (= (tptp.match_bool1 @t1 tptp.false1 @t6 @t7) @t7)))) % 45.85/46.12 (assume @p5 (not (= tptp.true1 tptp.false1))) % 45.85/46.12 (assume @p6 (forall (@list @t9) (or (= @t9 tptp.true1) (= @t9 tptp.false1)))) % 45.85/46.12 (assume @p7 (forall (@list @t10) (= @t10 tptp.tuple03))) % 45.85/46.12 (assume @p8 (forall (@list @t13 @t12 @t11) (=> @t14 (=> (<= 0 @t11) (<= (* @t13 @t11) (* @t12 @t11)))))) % 45.85/46.12 (assume @p9 (forall @t2 (tptp.sort1 @t16 @t15))) % 45.85/46.12 (assume @p10 (forall @t19 (tptp.sort1 @t16 @t18))) % 45.85/46.12 (assume @p11 (forall (@list @t1 @t20 @t17 @t4 @t3) (tptp.sort1 @t20 (tptp.match_list1 @t20 @t1 @t17 @t4 @t3)))) % 45.85/46.12 (assume @p12 (forall (@list @t1 @t20 @t6 @t7) (=> (tptp.sort1 @t20 @t6) (= (tptp.match_list1 @t20 @t1 @t15 @t6 @t7) @t6)))) % 45.85/46.12 (assume @p13 (forall (@list @t1 @t20 @t6 @t7 @t22 @t21) (=> (tptp.sort1 @t20 @t7) (= (tptp.match_list1 @t20 @t1 @t23 @t6 @t7) @t7)))) % 45.85/46.12 (assume @p14 @t26) % 45.85/46.12 (assume @p15 (forall @t27 (tptp.sort1 @t1 (tptp.cons_proj_11 @t1 @t17)))) % 45.85/46.12 (assume @p16 (forall @t28 (=> (tptp.sort1 @t1 @t22) (= (tptp.cons_proj_11 @t1 @t23) @t22)))) % 45.85/46.12 (assume @p17 (forall @t27 (tptp.sort1 @t16 (tptp.cons_proj_21 @t1 @t17)))) % 45.85/46.12 (assume @p18 @t30) % 45.85/46.12 (assume @p19 (forall (@list @t1 @t22) (or (= @t22 @t15) (= @t22 (tptp.cons @t1 (tptp.cons_proj_11 @t1 @t22) (tptp.cons_proj_21 @t1 @t22)))))) % 45.85/46.12 (assume @p20 @t43) % 45.85/46.12 (assume @p21 (forall (@list @t44) (tptp.sort1 (tptp.list tptp.int) (tptp.t2tb @t44)))) % 45.85/46.12 (assume @p22 @t47) % 45.85/46.12 (assume @p23 @t51) % 45.85/46.12 (assume @p24 (tptp.sorted1 @t53)) % 45.85/46.12 (assume @p25 (forall @t55 (tptp.sort1 tptp.int @t54))) % 45.85/46.12 (assume @p26 @t59) % 45.85/46.12 (assume @p27 (forall @t50 (= (tptp.t2tb1 (tptp.tb2t1 @t48)) @t48))) % 45.85/46.12 (assume @p28 (forall @t55 (tptp.sorted1 @t60))) % 45.85/46.12 (assume @p29 (forall @t67 (=> @t14 (=> @t66 (tptp.sorted1 @t65))))) % 45.85/46.12 (assume @p30 (forall (@list @t68) (=> (tptp.sorted1 @t68) (or (= @t68 @t53) (exists @t55 (= @t68 @t60)) (exists @t67 (and @t14 @t66 (= @t68 @t65))))))) % 45.85/46.12 (assume @p31 @t78) % 45.85/46.12 (assume @p32 (forall @t19 (tptp.sort1 @t16 (tptp.infix_plpl @t1 @t17 @t4)))) % 45.85/46.12 (assume @p33 (forall (@list @t1 @t79) (and (= (tptp.infix_plpl @t1 @t15 @t79) @t79) (forall @t80 (= (tptp.infix_plpl @t1 @t18 @t79) (tptp.cons @t1 @t17 (tptp.infix_plpl @t1 @t4 @t79))))))) % 45.85/46.12 (assume @p34 (forall (@list @t1 @t82 @t79 @t81) (= (tptp.infix_plpl @t1 @t82 (tptp.infix_plpl @t1 @t79 @t81)) (tptp.infix_plpl @t1 @t83 @t81)))) % 45.85/46.12 (assume @p35 (forall @t85 (= (tptp.infix_plpl @t1 @t84 @t15) @t84))) % 45.85/46.12 (assume @p36 (forall @t2 (and (= (tptp.length1 @t1 @t15) 0) (forall @t80 (= (tptp.length1 @t1 @t18) (+ 1 (tptp.length1 @t1 @t4))))))) % 45.85/46.12 (assume @p37 (forall @t85 (<= 0 @t86))) % 45.85/46.12 (assume @p38 (forall @t85 (= (= @t86 0) (= @t84 @t15)))) % 45.85/46.12 (assume @p39 (forall (@list @t1 @t82 @t79) (= (tptp.length1 @t1 @t83) (+ (tptp.length1 @t1 @t82) (tptp.length1 @t1 @t79))))) % 45.85/46.12 (assume @p40 (forall (@list @t1 @t17 @t82 @t79) (= (tptp.mem @t1 @t17 @t83) (or (tptp.mem @t1 @t17 @t82) (tptp.mem @t1 @t17 @t79))))) % 45.85/46.12 (assume @p41 (forall (@list @t1 @t17 @t84) (=> (tptp.mem @t1 @t17 @t84) (exists (@list @t82 @t79) (and (tptp.sort1 @t16 @t82) (tptp.sort1 @t16 @t79) (= @t84 (tptp.infix_plpl @t1 @t82 (tptp.cons @t1 @t17 @t79)))))))) % 45.85/46.12 (assume @p42 (forall (@list @t89 @t87) (= (and (tptp.sorted1 @t89) (tptp.sorted1 @t87) (forall (@list @t13 @t12) (=> (tptp.mem tptp.int @t54 @t90) (=> (tptp.mem tptp.int @t63 @t88) @t14)))) (tptp.sorted1 (tptp.tb2t (tptp.infix_plpl tptp.int @t90 @t88)))))) % 45.85/46.12 (assume @p43 @t94) % 45.85/46.12 (assume @p44 @t135) % 45.85/46.12 (assume @p45 true) % 45.85/46.12 (step @p46 :rule eq-symm :args (@t49 @t48)) % 45.85/46.12 (step @p47 :rule cong :premises (@p46) :args (@t51)) % 45.85/46.12 (step @p48 :rule eq_resolve :premises (@p23 @p47)) % 45.85/46.12 (step @p49 :rule instantiate :premises (@p48) :args ((@list @t52))) % 45.85/46.12 (step @p50 :rule refl :args (@t137)) % 45.85/46.12 (step @p51 :rule eq-symm :args (@t138 @t17)) % 45.85/46.12 (step @p52 :rule nary_cong :premises (@p51 @p50) :args (@t139)) % 45.85/46.12 (step @p53 :rule refl :args (@t140)) % 45.85/46.12 (step @p54 :rule cong :premises (@p53 @p52) :args (@t141)) % 45.85/46.12 (step @p55 :rule refl :args (@t142)) % 45.85/46.12 (step @p56 :rule nary_cong :premises (@p55 @p54) :args (@t143)) % 45.85/46.12 (step @p57 :rule refl :args (@t39)) % 45.85/46.12 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t144)) % 45.85/46.12 (step @p59 :rule refl :args (@t145)) % 45.85/46.12 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t146)) % 45.85/46.12 (step @p61 :rule cong :premises (@p60) :args (@t147)) % 45.85/46.12 (step @p62 :rule quant-merge-prenex :args ((= (forall @t27 @t149) @t147))) % 45.85/46.12 (step @p63 :rule alpha_equiv :args (@t150 (@list @t138 @t136) (@list @t4 @t3))) % 45.85/46.12 (step @p64 :rule quant-unused-vars :args ((= @t151 @t39))) % 45.85/46.12 (step @p65 :rule nary_cong :premises (@p64 @p63) :args (@t152)) % 45.85/46.12 (step @p66 :rule quant-miniscope-and :args ((= @t153 @t152))) % 45.85/46.12 (step @p67 :rule trans :premises (@p66 @p65)) % 45.85/46.12 (step @p68 :rule refl :args (@t145)) % 45.85/46.12 (step @p69 :rule nary_cong :premises (@p68 @p67) :args (@t154)) % 45.85/46.12 (step @p70 :rule quant-miniscope-or :args ((= @t149 @t154))) % 45.85/46.12 (step @p71 :rule trans :premises (@p70 @p69)) % 45.85/46.12 (step @p72 :rule symm :premises (@p71)) % 45.85/46.12 (step @p73 :rule cong :premises (@p72) :args ((forall @t27 (or @t145 @t156)))) % 45.85/46.12 (step @p74 :rule trans :premises (@p73 @p62)) % 45.85/46.12 (step @p75 :rule trans :premises (@p74 @p61)) % 45.85/46.12 (step @p76 :rule bool-impl-elim :args (@t41 @t156)) % 45.85/46.12 (step @p77 :rule cong :premises (@p76) :args ((forall @t27 (=> @t41 @t156)))) % 45.85/46.12 (step @p78 :rule trans :premises (@p77 @p75)) % 45.85/46.12 (step @p79 :rule bool-impl-elim :args (@t35 @t155)) % 45.85/46.12 (step @p80 :rule cong :premises (@p79) :args ((forall @t37 (=> @t35 @t155)))) % 45.85/46.12 (step @p81 :rule refl :args (@t31)) % 45.85/46.12 (step @p82 :rule eq-symm :args (@t17 @t4)) % 45.85/46.12 (step @p83 :rule nary_cong :premises (@p82 @p81) :args (@t32)) % 45.85/46.12 (step @p84 :rule refl :args (@t33)) % 45.85/46.12 (step @p85 :rule cong :premises (@p84 @p83) :args (@t34)) % 45.85/46.12 (step @p86 :rule refl :args (@t35)) % 45.85/46.12 (step @p87 :rule cong :premises (@p86 @p85) :args (@t36)) % 45.85/46.12 (step @p88 :rule cong :premises (@p87) :args (@t38)) % 45.85/46.12 (step @p89 :rule trans :premises (@p88 @p80)) % 45.85/46.12 (step @p90 :rule nary_cong :premises (@p57 @p89) :args (@t40)) % 45.85/46.12 (step @p91 :rule refl :args (@t41)) % 45.85/46.12 (step @p92 :rule cong :premises (@p91 @p90) :args (@t42)) % 45.85/46.12 (step @p93 :rule cong :premises (@p92) :args (@t43)) % 45.85/46.12 (step @p94 :rule trans :premises (@p93 @p78)) % 45.85/46.12 (step @p95 :rule eq_resolve :premises (@p20 @p94)) % 45.85/46.12 (step @p96 :rule 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45.85/46.12 (step @p271 :rule nary_cong :premises (@p270 @p269) :args (@t283)) % 45.85/46.12 (step @p272 :rule quant-miniscope-or :args ((= @t284 @t283))) % 45.85/46.12 (step @p273 :rule trans :premises (@p272 @p271)) % 45.85/46.12 (step @p274 :rule quant-unused-vars :args ((= @t285 @t255))) % 45.85/46.12 (step @p275 :rule nary_cong :premises (@p274 @p273) :args (@t286)) % 45.85/46.12 (step @p276 :rule quant-miniscope-and :args ((= @t287 @t286))) % 45.85/46.12 (step @p277 :rule trans :premises (@p276 @p275)) % 45.85/46.12 (step @p278 :rule refl :args (@t256)) % 45.85/46.12 (step @p279 :rule nary_cong :premises (@p278 @p277) :args (@t288)) % 45.85/46.12 (step @p280 :rule quant-miniscope-or :args ((= @t269 @t288))) % 45.85/46.12 (step @p281 :rule trans :premises (@p280 @p279)) % 45.85/46.12 (step @p282 :rule symm :premises (@p281)) % 45.85/46.12 (step @p283 :rule cong :premises (@p282) :args ((forall @t129 (or @t256 (and @t255 (or @t122 (and (or @t254 @t292) @t249))))))) % 45.85/46.12 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45.85/46.12 (step @p542 :rule reordering :premises (@p541) :args ((or @t226 @t309 @t361 @t360 @t359))) % 45.85/46.12 (step @p543 :rule cnf_or_neg :args (@t311 1)) % 45.85/46.12 (step @p544 :rule cnf_and_neg :args (@t312)) % 45.85/46.12 (step @p545 :rule cnf_or_neg :args (@t314 1)) % 45.85/46.12 (step @p546 :rule cnf_and_neg :args (@t317)) % 45.85/46.12 (step @p547 :rule bool-double-not-elim :args (@t313)) % 45.85/46.12 (step @p548 :rule refl :args (@t316)) % 45.85/46.12 (step @p549 :rule nary_cong :premises (@p548 @p547) :args ((or @t316 @t362))) % 45.85/46.12 (step @p550 :rule cnf_or_neg :args (@t316 0)) % 45.85/46.12 (step @p551 :rule eq_resolve :premises (@p550 @p549)) % 45.85/46.12 (step @p552 :rule reordering :premises (@p551) :args ((or @t313 @t316))) % 45.85/46.12 (assume-push @p811 @t313) % 45.85/46.12 (assume-push @p812 @t313) % 45.85/46.12 (step @p555 :rule cong :premises (@p811) :args (@t179)) % 45.85/46.12 (step-pop @p813 :rule scope :premises (@p555)) % 45.85/46.12 (step @p556 :rule process_scope :premises (@p813) :args (@t182)) % 45.85/46.12 (step @p558 :rule modus_ponens :premises (@p811 @p556)) % 45.85/46.12 (step-pop @p814 :rule scope :premises (@p558)) % 45.85/46.12 (step @p559 :rule process_scope :premises (@p814) :args (@t182)) % 45.85/46.12 (step @p561 :rule implies_elim :premises (@p559)) % 45.85/46.12 (step @p562 :rule chain_m_resolution :premises (@p561 @p552 @p546 @p545 @p544 @p543 @p542 @p534 @p522 @p516 @p121 @p483 @p481 @p474 @p472 @p175 @p451 @p449 @p446 @p419 @p401 @p380 @p374 @p373 @p371 @p471 @p369 @p210 @p204 @p463 @p14 @p459 @p455 @p48) :args ((or @t225 @t183) (@list false true false false false false false false true false true false true true false false false false false false false true true true true true false true true false false false false) (@list @t313 @t316 @t314 @t312 @t311 @t309 @t307 @t302 @t233 @t220 @t185 @t186 @t181 @t182 @t209 @t308 @t347 @t348 @t346 @t325 @t320 @t317 @t318 @t319 @t322 @t173 @t235 @t226 @t229 @t26 @t228 @t220 @t350))) % 45.85/46.12 (step @p563 :rule cnf_equiv_pos2 :args (@t186)) % 45.85/46.12 (step @p564 :rule reordering :premises (@p563) :args ((or @t185 @t363 @t354))) % 45.85/46.12 (step @p565 :rule aci_norm :args ((= (or @t365 (or @t364 @t91)) (or @t365 @t364 @t91)))) % 45.85/46.12 (step @p566 :rule bool-impl-elim :args (@t66 @t91)) % 45.85/46.12 (step @p567 :rule refl :args (@t365)) % 45.85/46.12 (step @p568 :rule nary_cong :premises (@p567 @p566) :args ((or @t365 @t92))) % 45.85/46.12 (step @p569 :rule trans :premises (@p568 @p565)) % 45.85/46.12 (step @p570 :rule refl :args (@t92)) % 45.85/46.12 (step @p571 :rule bool-double-not-elim :args (@t365)) % 45.85/46.12 (step @p572 :rule nary_cong :premises (@p571 @p570) :args ((or (not @t366) @t92))) % 45.85/46.12 (step @p573 :rule bool-impl-elim :args (@t366 @t92)) % 45.85/46.12 (step @p574 :rule trans :premises (@p573 @p572)) % 45.85/46.12 (step @p575 :rule trans :premises (@p574 @p569)) % 45.85/46.12 (step @p576 :rule cong :premises (@p575) :args ((forall @t67 (=> @t366 @t92)))) % 45.85/46.12 (step @p577 :rule refl :args (@t92)) % 45.85/46.12 (step @p578 :rule arith_poly_norm :args ((= (* 1 (- @t13 @t12)) (* 1 (- @t328 0))))) % 45.85/46.12 (step @p579 :rule arith_poly_norm_rel :premises (@p578) :args ((= @t367 @t365))) % 45.85/46.12 (step @p580 :rule cong :premises (@p579) :args ((not @t367))) % 45.85/46.12 (step @p581 :rule arith-elim-lt :args (@t13 @t12)) % 45.85/46.12 (step @p582 :rule trans :premises (@p581 @p580)) % 45.85/46.12 (step @p583 :rule cong :premises (@p582 @p577) :args (@t93)) % 45.85/46.12 (step @p584 :rule cong :premises (@p583) :args (@t94)) % 45.85/46.12 (step @p585 :rule trans :premises (@p584 @p576)) % 45.85/46.12 (step @p586 :rule eq_resolve :premises (@p43 @p585)) % 45.85/46.12 (step @p587 :rule instantiate :premises (@p586) :args ((@list @t178 @t176 @t174))) % 45.85/46.12 (step @p588 :rule cnf_or_pos :args (@t369)) % 45.85/46.12 (step @p589 :rule reordering :premises (@p588) :args ((or @t368 @t349 @t355 (not @t369)))) % 45.85/46.12 (assume-push @p815 @t212) % 45.85/46.12 (assume-push @p816 @t220) % 45.85/46.12 (assume-push @p817 @t185) % 45.85/46.12 (assume-push @p818 @t185) % 45.85/46.12 (assume-push @p819 @t220) % 45.85/46.12 (assume-push @p820 @t212) % 45.85/46.12 (step @p596 :rule true_intro :premises (@p817)) % 45.85/46.12 (step @p185 :rule symm :premises (@p121)) % 45.85/46.12 (step @p597 :rule cong :premises (@p815) :args (@t222)) % 45.85/46.12 (step @p598 :rule trans :premises (@p597 @p185)) % 45.85/46.12 (step @p498 :rule refl :args (@t179)) % 45.85/46.12 (step @p146 :rule refl :args (tptp.int)) % 45.85/46.12 (step @p599 :rule cong :premises (@p146 @p498 @p598) :args (@t233)) % 45.85/46.12 (step @p600 :rule trans :premises (@p599 @p596)) % 45.85/46.12 (step @p601 :rule true_elim :premises (@p600)) % 45.85/46.12 (step-pop @p821 :rule scope :premises (@p601)) % 45.85/46.12 (step-pop @p822 :rule scope :premises (@p821)) % 45.85/46.12 (step-pop @p823 :rule scope :premises (@p822)) % 45.85/46.12 (step @p602 :rule process_scope :premises (@p823) :args (@t233)) % 45.85/46.12 (step @p606 :rule and_intro :premises (@p817 @p121 @p815)) % 45.85/46.12 (step @p607 :rule modus_ponens :premises (@p606 @p602)) % 45.85/46.12 (step-pop @p824 :rule scope :premises (@p607)) % 45.85/46.12 (step-pop @p825 :rule scope :premises (@p824)) % 45.85/46.12 (step-pop @p826 :rule scope :premises (@p825)) % 45.85/46.12 (step @p608 :rule process_scope :premises (@p826) :args (@t233)) % 45.85/46.12 (step @p612 :rule implies_elim :premises (@p608)) % 45.85/46.12 (step @p613 :rule cnf_and_neg :args (@t370)) % 45.85/46.12 (step @p614 :rule resolution :premises (@p613 @p612) :args (true @t370)) % 45.85/46.12 (step @p615 :rule reordering :premises (@p614) :args ((or @t233 @t225 @t224 @t355))) % 45.85/46.12 (step @p616 :rule cnf_or_neg :args (@t316 1)) % 45.85/46.12 (step @p617 :rule reordering :premises (@p616) :args ((or @t234 @t316))) % 45.85/46.12 (step @p618 :rule cnf_or_neg :args (@t314 0)) % 45.85/46.12 (step @p619 :rule reordering :premises (@p618) :args ((or @t315 @t314))) % 45.85/46.12 (step @p620 :rule refl :args (@t301)) % 45.85/46.12 (step @p621 :rule refl :args (@t371)) % 45.85/46.12 (step @p622 :rule nary_cong :premises (@p547 @p621 @p620) :args ((or @t362 @t371 @t301))) % 45.85/46.12 (assume-push @p827 @t315) % 45.85/46.12 (assume-push @p828 @t368) % 45.85/46.12 (assume-push @p829 @t368) % 45.85/46.12 (assume-push @p830 @t315) % 45.85/46.12 (step @p627 :rule arith_poly_norm :args ((= (* 1 (- @t300 0)) (* 1 (- @t178 @t176))))) % 45.85/46.12 (step @p628 :rule arith_poly_norm_rel :premises (@p627) :args ((= @t372 @t313))) % 45.85/46.12 (step @p629 :rule cong :premises (@p628) :args ((not @t372))) % 45.85/46.12 (step @p630 :rule symm :premises (@p629)) % 45.85/46.12 (step @p631 :rule eq_resolve :premises (@p827 @p630)) % 45.85/46.12 (step @p632 :rule arith_trichotomy :premises (@p828 @p631)) % 45.85/46.12 (step @p633 :rule int_tight_lb :premises (@p632)) % 45.85/46.12 (step-pop @p831 :rule scope :premises (@p633)) % 45.85/46.12 (step-pop @p832 :rule scope :premises (@p831)) % 45.85/46.12 (step @p634 :rule process_scope :premises (@p832) :args (@t301)) % 45.85/46.12 (step @p637 :rule and_intro :premises (@p828 @p827)) % 45.85/46.12 (step @p638 :rule modus_ponens :premises (@p637 @p634)) % 45.85/46.12 (step-pop @p833 :rule scope :premises (@p638)) % 45.85/46.12 (step-pop @p834 :rule scope :premises (@p833)) % 45.85/46.12 (step @p639 :rule process_scope :premises (@p834) :args (@t301)) % 45.85/46.12 (step @p642 :rule implies_elim :premises (@p639)) % 45.85/46.12 (step @p643 :rule cnf_and_neg :args (@t373)) % 45.85/46.12 (step @p644 :rule resolution :premises (@p643 @p642) :args (true @t373)) % 45.85/46.12 (step @p645 :rule eq_resolve :premises (@p644 @p622)) % 45.85/46.12 (step @p646 :rule reordering :premises (@p645) :args ((or @t313 @t301 @t371))) % 45.85/46.12 (step @p647 :rule cnf_or_neg :args (@t302 0)) % 45.85/46.12 (step @p648 :rule reordering :premises (@p647) :args ((or @t310 @t302))) % 45.85/46.12 (step @p649 :rule cnf_equiv_neg2 :args (@t304)) % 45.85/46.12 (step @p650 :rule reordering :premises (@p649) :args ((or @t234 @t304 @t358))) % 45.85/46.12 (step @p651 :rule cnf_equiv_neg1 :args (@t306)) % 45.85/46.12 (step @p652 :rule reordering :premises (@p651) :args ((or @t305 @t303 @t306))) % 45.85/46.12 (step @p653 :rule cnf_or_pos :args (@t183)) % 45.85/46.12 (step @p654 :rule reordering :premises (@p653) :args ((or @t181 @t182 @t363))) % 45.85/46.12 (step @p655 :rule arith_poly_norm :args ((= (* 1 (- @t57 @t56)) (* -1 (- @t56 @t57))))) % 45.85/46.12 (step @p656 :rule arith_poly_norm_rel :premises (@p655) :args ((= @t58 (= @t56 @t57)))) % 45.85/46.12 (step @p657 :rule cong :premises (@p656) :args (@t59)) % 45.85/46.12 (step @p658 :rule eq_resolve :premises (@p26 @p657)) % 45.85/46.12 (step @p659 :rule instantiate :premises (@p658) :args (@t180)) % 45.85/46.12 (step @p660 :rule instantiate :premises (@p658) :args (@t353)) % 45.85/46.12 (assume-push @p835 @t375) % 45.85/46.12 (assume-push @p836 @t376) % 45.85/46.12 (assume-push @p837 @t182) % 45.85/46.12 (assume-push @p838 @t376) % 45.85/46.12 (assume-push @p839 @t182) % 45.85/46.12 (assume-push @p840 @t375) % 45.85/46.12 (step @p667 :rule symm :premises (@p660)) % 45.85/46.12 (step @p668 :rule cong :premises (@p837) :args (@t374)) % 45.85/46.12 (step @p669 :rule trans :premises (@p659 @p668 @p667)) % 45.85/46.12 (step-pop @p841 :rule scope :premises (@p669)) % 45.85/46.12 (step-pop @p842 :rule scope :premises (@p841)) % 45.85/46.12 (step-pop @p843 :rule scope :premises (@p842)) % 45.85/46.12 (step @p670 :rule process_scope :premises (@p843) :args (@t313)) % 45.85/46.12 (step @p674 :rule and_intro :premises (@p660 @p837 @p659)) % 45.85/46.12 (step @p675 :rule modus_ponens :premises (@p674 @p670)) % 45.85/46.12 (step-pop @p844 :rule scope :premises (@p675)) % 45.85/46.12 (step-pop @p845 :rule scope :premises (@p844)) % 45.85/46.12 (step-pop @p846 :rule scope :premises (@p845)) % 45.85/46.12 (step @p676 :rule process_scope :premises (@p846) :args (@t313)) % 45.85/46.12 (step @p680 :rule implies_elim :premises (@p676)) % 45.85/46.12 (step @p681 :rule cnf_and_neg :args (@t377)) % 45.85/46.12 (step @p682 :rule resolution :premises (@p681 @p680) :args (true @t377)) % 45.85/46.12 (step @p683 :rule reordering :premises (@p682) :args ((or @t313 (not @t375) (not @t376) (not @t182)))) % 45.85/46.12 (step @p684 :rule chain_m_resolution :premises (@p683 @p660 @p659 @p654 @p652 @p650 @p524 @p523 @p542 @p543 @p544 @p648 @p646 @p545 @p619 @p546 @p617 @p615 @p121 @p589 @p587 @p564 @p481 @p562 @p451 @p449 @p447 @p401 @p381 @p374 @p373 @p372 @p210 @p204 @p121 @p49 @p176 @p175) :args (@t225 (@list false false false true true true true true true true false false true true true false false false false false false false false false false false false false true true true false true false false true false) (@list @t376 @t375 @t182 @t181 @t303 @t304 @t306 @t307 @t309 @t311 @t302 @t301 @t312 @t313 @t314 @t316 @t233 @t220 @t368 @t369 @t185 @t186 @t183 @t308 @t347 @t348 @t325 @t320 @t317 @t318 @t319 @t235 @t226 @t220 @t228 @t229 @t209))) % 45.85/46.12 (step @p685 :rule bool-double-not-elim :args (@t212)) % 45.85/46.12 (step @p686 :rule refl :args (@t318)) % 45.85/46.12 (step @p687 :rule nary_cong :premises (@p686 @p685) :args ((or @t318 (not @t225)))) % 45.85/46.12 (step @p688 :rule cnf_or_neg :args (@t318 0)) % 45.85/46.12 (step @p689 :rule eq_resolve :premises (@p688 @p687)) % 45.85/46.12 (step @p690 :rule reordering :premises (@p689) :args ((or @t212 @t318))) % 45.85/46.12 (step @p691 :rule chain_m_resolution :premises (@p690 @p684) :args (@t318 @t323 (@list @t212))) % 45.85/46.12 (step @p692 :rule chain_m_resolution :premises (@p373 @p372 @p691) :args ((not @t235) (@list true false) (@list @t319 @t318))) % 45.85/46.12 (step @p693 :rule chain_m_resolution :premises (@p210 @p692) :args (@t226 @t323 @t378)) % 45.85/46.12 (step @p694 :rule nary_cong :premises (@p206 @p517) :args ((or @t235 @t357))) % 45.85/46.12 (step @p695 :rule cnf_or_neg :args (@t235 1)) % 45.85/46.12 (step @p696 :rule eq_resolve :premises (@p695 @p694)) % 45.85/46.12 (step @p697 :rule reordering :premises (@p696) :args ((or @t233 @t235))) % 45.85/46.12 (step @p698 :rule chain_m_resolution :premises (@p697 @p692) :args (@t233 @t323 @t378)) % 45.85/46.12 (step @p699 :rule bool-double-not-elim :args (@t190)) % 45.85/46.12 (step @p700 :rule refl :args (@t231)) % 45.85/46.12 (step @p701 :rule refl :args (@t232)) % 45.85/46.12 (step @p702 :rule nary_cong :premises (@p701 @p700 @p699 @p484) :args ((or @t232 @t231 (not @t191) @t234))) % 45.85/46.12 (assume-push @p847 @t226) % 45.85/46.12 (assume-push @p848 @t228) % 45.85/46.12 (assume-push @p849 @t191) % 45.85/46.12 (assume-push @p850 @t191) % 45.85/46.12 (assume-push @p851 @t228) % 45.85/46.12 (assume-push @p852 @t226) % 45.85/46.12 (step @p709 :rule false_intro :premises (@p103)) % 45.85/46.12 (step @p710 :rule symm :premises (@p49)) % 45.85/46.12 (step @p711 :rule symm :premises (@p847)) % 45.85/46.12 (step @p712 :rule cong :premises (@p711) :args (@t222)) % 45.85/46.12 (step @p713 :rule trans :premises (@p712 @p710)) % 45.85/46.12 (step @p498 :rule refl :args (@t179)) % 45.85/46.12 (step @p146 :rule refl :args (tptp.int)) % 45.85/46.12 (step @p714 :rule cong :premises (@p146 @p498 @p713) :args (@t233)) % 45.85/46.12 (step @p715 :rule trans :premises (@p714 @p709)) % 45.85/46.12 (step @p716 :rule false_elim :premises (@p715)) % 45.85/46.12 (step-pop @p853 :rule scope :premises (@p716)) % 45.85/46.12 (step-pop @p854 :rule scope :premises (@p853)) % 45.85/46.12 (step-pop @p855 :rule scope :premises (@p854)) % 45.85/46.12 (step @p717 :rule process_scope :premises (@p855) :args (@t234)) % 45.85/46.12 (step @p721 :rule and_intro :premises (@p103 @p49 @p847)) % 45.85/46.12 (step @p722 :rule modus_ponens :premises (@p721 @p717)) % 45.85/46.12 (step-pop @p856 :rule scope :premises (@p722)) % 45.85/46.12 (step-pop @p857 :rule scope :premises (@p856)) % 45.85/46.12 (step-pop @p858 :rule scope :premises (@p857)) % 45.85/46.12 (step @p723 :rule process_scope :premises (@p858) :args (@t234)) % 45.85/46.12 (step @p727 :rule implies_elim :premises (@p723)) % 45.85/46.12 (step @p728 :rule cnf_and_neg :args (@t379)) % 45.85/46.12 (step @p729 :rule resolution :premises (@p728 @p727) :args (true @t379)) % 45.85/46.12 (step @p730 :rule eq_resolve :premises (@p729 @p702)) % 45.85/46.12 (step @p731 :rule reordering :premises (@p730) :args ((or @t232 @t234 @t231 @t190))) % 45.85/46.12 (step @p732 false :rule chain_m_resolution :premises (@p731 @p698 @p693 @p103 @p49) :args (false (@list false false true false) (@list @t233 @t226 @t190 @t228))) % 45.85/46.12 ) % 45.85/46.12 % SZS output end Proof % 45.85/46.12 % cvc5 exiting %------------------------------------------------------------------------------