%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV407+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n016.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 09:01:22 AM UTC 2026 % Result : Theorem 0.44s 0.65s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV407+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n016.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 20:07:09 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.65 % SZS status Theorem % 0.44/0.65 % SZS output start Proof % 0.44/0.65 ( % 0.44/0.65 (declare-sort $$unsorted 0) % 0.44/0.65 (declare-const tptp.findmin_cpq_res (-> $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.check_cpq (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.removemin_cpq_eff (-> $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.findmin_cpq_eff (-> $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.remove_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.insert_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.insert_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.less_than (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.strictly_less_than (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.findmin_pqp_res (-> $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.bottom $$unsorted) % 0.44/0.65 (declare-const tptp.create_slb $$unsorted) % 0.44/0.65 (declare-const tptp.lookup_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.isnonempty_slb (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.removemin_cpq_res (-> $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.remove_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.contains_cpq (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.insert_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.ok (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.contains_slb (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.succ_cpq (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.pair_in_list (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.bad $$unsorted) % 0.44/0.65 (declare-const tptp.remove_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.update_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (define @t1 () (@var "W" $$unsorted)) % 0.44/0.65 (define @t2 () (@var "U" $$unsorted)) % 0.44/0.65 (define @t3 () (tptp.less_than @t2 @t1)) % 0.44/0.65 (define @t4 () (@var "V" $$unsorted)) % 0.44/0.65 (define @t5 () (tptp.less_than @t4 @t1)) % 0.44/0.65 (define @t6 () (tptp.less_than @t2 @t4)) % 0.44/0.65 (define @t7 () (and @t6 @t5)) % 0.44/0.65 (define @t8 () (@list @t2 @t4 @t1)) % 0.44/0.65 (define @t9 () (forall @t8 (=> @t7 @t3))) % 0.44/0.65 (define @t10 () (tptp.less_than @t4 @t2)) % 0.44/0.65 (define @t11 () (@list @t2 @t4)) % 0.44/0.65 (define @t12 () (@list @t2)) % 0.44/0.65 (define @t13 () (tptp.pair @t4 @t1)) % 0.44/0.65 (define @t14 () (tptp.insert_slb @t2 @t13)) % 0.44/0.65 (define @t15 () (= @t4 @t1)) % 0.44/0.65 (define @t16 () (tptp.contains_slb @t2 @t1)) % 0.44/0.65 (define @t17 () (@var "X" $$unsorted)) % 0.44/0.65 (define @t18 () (tptp.pair @t4 @t17)) % 0.44/0.65 (define @t19 () (tptp.insert_slb @t2 @t18)) % 0.44/0.65 (define @t20 () (@list @t2 @t4 @t1 @t17)) % 0.44/0.65 (define @t21 () (@var "Y" $$unsorted)) % 0.44/0.65 (define @t22 () (@list @t2 @t4 @t1 @t17 @t21)) % 0.44/0.65 (define @t23 () (and (not @t15) @t16)) % 0.44/0.65 (define @t24 () (tptp.update_slb @t2 @t1)) % 0.44/0.65 (define @t25 () (tptp.update_slb @t19 @t1)) % 0.44/0.65 (define @t26 () (tptp.succ_cpq @t2 @t4)) % 0.44/0.65 (define @t27 () (tptp.triple @t2 tptp.create_slb @t4)) % 0.44/0.65 (define @t28 () (tptp.triple @t2 @t4 @t1)) % 0.44/0.65 (define @t29 () (tptp.check_cpq @t28)) % 0.44/0.65 (define @t30 () (tptp.check_cpq (tptp.triple @t2 (tptp.insert_slb @t4 (tptp.pair @t17 @t21)) @t1))) % 0.44/0.65 (define @t31 () (tptp.less_than @t21 @t17)) % 0.44/0.65 (define @t32 () (tptp.contains_slb @t4 @t17)) % 0.44/0.65 (define @t33 () (tptp.contains_cpq @t28 @t17)) % 0.44/0.65 (define @t34 () (tptp.triple @t2 @t4 tptp.bad)) % 0.44/0.65 (define @t35 () (tptp.remove_cpq @t28 @t17)) % 0.44/0.65 (define @t36 () (not @t32)) % 0.44/0.65 (define @t37 () (tptp.remove_slb @t4 @t17)) % 0.44/0.65 (define @t38 () (tptp.remove_pqp @t2 @t17)) % 0.44/0.65 (define @t39 () (tptp.lookup_slb @t4 @t17)) % 0.44/0.65 (define @t40 () (tptp.findmin_pqp_res @t2)) % 0.44/0.65 (define @t41 () (tptp.update_slb @t4 @t40)) % 0.44/0.65 (define @t42 () (tptp.findmin_cpq_eff @t28)) % 0.44/0.65 (define @t43 () (= @t42 (tptp.triple @t2 @t41 tptp.bad))) % 0.44/0.65 (define @t44 () (tptp.contains_slb @t4 @t40)) % 0.44/0.65 (define @t45 () (not @t44)) % 0.44/0.65 (define @t46 () (= @t4 tptp.create_slb)) % 0.44/0.65 (define @t47 () (not @t46)) % 0.44/0.65 (define @t48 () (and @t47 @t45)) % 0.44/0.65 (define @t49 () (forall @t20 (=> @t48 @t43))) % 0.44/0.65 (define @t50 () (tptp.lookup_slb @t4 @t40)) % 0.44/0.65 (define @t51 () (tptp.strictly_less_than @t40 @t50)) % 0.44/0.65 (define @t52 () (and @t47 @t44 @t51)) % 0.44/0.65 (define @t53 () (forall @t20 (=> @t52 @t43))) % 0.44/0.65 (define @t54 () (= @t42 (tptp.triple @t2 @t41 @t1))) % 0.44/0.65 (define @t55 () (tptp.less_than @t50 @t40)) % 0.44/0.65 (define @t56 () (and @t47 @t44 @t55)) % 0.44/0.65 (define @t57 () (forall @t20 (=> @t56 @t54))) % 0.44/0.65 (define @t58 () (tptp.findmin_cpq_res @t28)) % 0.44/0.65 (define @t59 () (=> @t47 (= @t58 @t40))) % 0.44/0.65 (define @t60 () (forall @t20 @t59)) % 0.44/0.65 (define @t61 () (tptp.findmin_cpq_res @t2)) % 0.44/0.65 (define @t62 () (tptp.pair_in_list @t4 @t17 @t21)) % 0.44/0.65 (define @t63 () (@list @t17 @t21)) % 0.44/0.65 (define @t64 () (forall @t63 (=> @t62 @t31))) % 0.44/0.65 (define @t65 () (= @t29 @t64)) % 0.44/0.65 (define @t66 () (forall @t8 @t65)) % 0.44/0.65 (define @t67 () (tptp.less_than @t40 @t21)) % 0.44/0.65 (define @t68 () (tptp.pair_in_list @t41 @t17 @t21)) % 0.44/0.65 (define @t69 () (and @t68 @t67)) % 0.44/0.65 (define @t70 () (@list @t21)) % 0.44/0.65 (define @t71 () (exists @t70 @t69)) % 0.44/0.65 (define @t72 () (tptp.pair_in_list @t41 @t17 @t40)) % 0.44/0.65 (define @t73 () (or @t72 @t71)) % 0.44/0.65 (define @t74 () (tptp.strictly_less_than @t17 @t58)) % 0.44/0.65 (define @t75 () (and @t32 @t74)) % 0.44/0.65 (define @t76 () (=> @t75 @t73)) % 0.44/0.65 (define @t77 () (forall @t20 @t76)) % 0.44/0.65 (define @t78 () (not (tptp.check_cpq @t42))) % 0.44/0.65 (define @t79 () (and @t33 @t74)) % 0.44/0.65 (define @t80 () (@list @t17)) % 0.44/0.65 (define @t81 () (exists @t80 @t79)) % 0.44/0.65 (define @t82 () (=> @t81 @t78)) % 0.44/0.65 (define @t83 () (forall @t8 @t82)) % 0.44/0.65 (define @t84 () (not @t83)) % 0.44/0.65 (define @t85 () (@var "BOUND_VARIABLE_7821" $$unsorted)) % 0.44/0.65 (define @t86 () (not (tptp.strictly_less_than @t85 @t58))) % 0.44/0.65 (define @t87 () (not (tptp.contains_cpq @t28 @t85))) % 0.44/0.65 (define @t88 () (or @t78 @t87 @t86)) % 0.44/0.65 (define @t89 () (@list @t2 @t4 @t1 @t85)) % 0.44/0.65 (define @t90 () (forall @t89 @t88)) % 0.44/0.65 (define @t91 () (@quantifiers_skolemize @t90 0)) % 0.44/0.65 (define @t92 () (tptp.findmin_pqp_res @t91)) % 0.44/0.65 (define @t93 () (@quantifiers_skolemize @t90 1)) % 0.44/0.65 (define @t94 () (tptp.lookup_slb @t93 @t92)) % 0.44/0.65 (define @t95 () (not @t51)) % 0.44/0.65 (define @t96 () (or @t46 @t45 @t95 @t43)) % 0.44/0.65 (define @t97 () (forall @t8 @t96)) % 0.44/0.65 (define @t98 () (not @t47)) % 0.44/0.65 (define @t99 () (or @t98 @t45 @t95)) % 0.44/0.65 (define @t100 () (tptp.update_slb @t93 @t92)) % 0.44/0.65 (define @t101 () (tptp.triple @t91 @t100 tptp.bad)) % 0.44/0.65 (define @t102 () (@quantifiers_skolemize @t90 2)) % 0.44/0.65 (define @t103 () (tptp.triple @t91 @t93 @t102)) % 0.44/0.65 (define @t104 () (tptp.findmin_cpq_eff @t103)) % 0.44/0.65 (define @t105 () (= @t104 @t101)) % 0.44/0.65 (define @t106 () (tptp.strictly_less_than @t92 @t94)) % 0.44/0.65 (define @t107 () (not @t106)) % 0.44/0.65 (define @t108 () (tptp.contains_slb @t93 @t92)) % 0.44/0.65 (define @t109 () (not @t108)) % 0.44/0.65 (define @t110 () (= @t93 tptp.create_slb)) % 0.44/0.65 (define @t111 () (or @t110 @t109 @t107 @t105)) % 0.44/0.65 (define @t112 () (@list @t91 @t93 @t102)) % 0.44/0.65 (define @t113 () (= tptp.create_slb @t93)) % 0.44/0.65 (define @t114 () (or @t113 @t109 @t107 @t105)) % 0.44/0.65 (define @t115 () (@list false)) % 0.44/0.65 (define @t116 () (or @t46 @t44 @t43)) % 0.44/0.65 (define @t117 () (forall @t8 @t116)) % 0.44/0.65 (define @t118 () (or @t110 @t108 @t105)) % 0.44/0.65 (define @t119 () (or @t113 @t108 @t105)) % 0.44/0.65 (define @t120 () (@quantifiers_skolemize @t90 3)) % 0.44/0.65 (define @t121 () (@list @t91 @t93 @t102 @t120)) % 0.44/0.65 (define @t122 () (or @t87 @t86)) % 0.44/0.65 (define @t123 () (or @t122 @t78)) % 0.44/0.65 (define @t124 () (forall @t89 @t123)) % 0.44/0.65 (define @t125 () (@list @t85)) % 0.44/0.65 (define @t126 () (forall @t125 @t123)) % 0.44/0.65 (define @t127 () (forall @t125 @t122)) % 0.44/0.65 (define @t128 () (or @t127 @t78)) % 0.44/0.65 (define @t129 () (not @t74)) % 0.44/0.65 (define @t130 () (forall @t80 (or (not @t33) @t129))) % 0.44/0.65 (define @t131 () (not @t130)) % 0.44/0.65 (define @t132 () (forall @t80 (not @t79))) % 0.44/0.65 (define @t133 () (not @t132)) % 0.44/0.65 (define @t134 () (tptp.contains_cpq @t103 @t120)) % 0.44/0.65 (define @t135 () (tptp.findmin_cpq_res @t103)) % 0.44/0.65 (define @t136 () (tptp.strictly_less_than @t120 @t135)) % 0.44/0.65 (define @t137 () (not @t136)) % 0.44/0.65 (define @t138 () (not @t134)) % 0.44/0.65 (define @t139 () (tptp.check_cpq @t104)) % 0.44/0.65 (define @t140 () (not @t139)) % 0.44/0.65 (define @t141 () (or @t140 @t138 @t137)) % 0.44/0.65 (define @t142 () (@list true)) % 0.44/0.65 (define @t143 () (@list @t141)) % 0.44/0.65 (define @t144 () (tptp.contains_slb @t93 @t120)) % 0.44/0.65 (define @t145 () (= @t134 @t144)) % 0.44/0.65 (define @t146 () (@list false false)) % 0.44/0.65 (define @t147 () (tptp.contains_slb tptp.create_slb @t120)) % 0.44/0.65 (define @t148 () (not @t113)) % 0.44/0.65 (define @t149 () (not @t144)) % 0.44/0.65 (define @t150 () (not @t147)) % 0.44/0.65 (define @t151 () (= false true)) % 0.44/0.65 (define @t152 () (@list false true)) % 0.44/0.65 (define @t153 () (forall @t63 (or (not (tptp.pair_in_list @t100 @t17 @t21)) @t31))) % 0.44/0.65 (define @t154 () (forall @t70 (or (not (tptp.pair_in_list @t100 @t120 @t21)) (not (tptp.less_than @t92 @t21))))) % 0.44/0.65 (define @t155 () (@quantifiers_skolemize @t154 0)) % 0.44/0.65 (define @t156 () (tptp.less_than @t155 @t120)) % 0.44/0.65 (define @t157 () (tptp.pair_in_list @t100 @t120 @t155)) % 0.44/0.65 (define @t158 () (not @t157)) % 0.44/0.65 (define @t159 () (or @t158 @t156)) % 0.44/0.65 (define @t160 () (tptp.less_than @t92 @t120)) % 0.44/0.65 (define @t161 () (tptp.pair_in_list @t100 @t120 @t92)) % 0.44/0.65 (define @t162 () (not @t161)) % 0.44/0.65 (define @t163 () (or @t162 @t160)) % 0.44/0.65 (define @t164 () (= @t40 @t58)) % 0.44/0.65 (define @t165 () (or @t46 @t164)) % 0.44/0.65 (define @t166 () (forall @t8 @t165)) % 0.44/0.65 (define @t167 () (or @t110 (= @t92 @t135))) % 0.44/0.65 (define @t168 () (= @t135 @t92)) % 0.44/0.65 (define @t169 () (or @t113 @t168)) % 0.44/0.65 (define @t170 () (@list true false)) % 0.44/0.65 (define @t171 () (tptp.less_than @t135 @t120)) % 0.44/0.65 (define @t172 () (not @t171)) % 0.44/0.65 (define @t173 () (and (tptp.less_than @t120 @t135) @t172)) % 0.44/0.65 (define @t174 () (= @t136 @t173)) % 0.44/0.65 (define @t175 () (not @t160)) % 0.44/0.65 (define @t176 () (not @t168)) % 0.44/0.65 (define @t177 () (and @t172 @t168)) % 0.44/0.65 (define @t178 () (not (forall @t70 (or (not @t68) (not @t67))))) % 0.44/0.65 (define @t179 () (or @t72 @t178)) % 0.44/0.65 (define @t180 () (forall @t70 (not @t69))) % 0.44/0.65 (define @t181 () (not @t180)) % 0.44/0.65 (define @t182 () (not @t154)) % 0.44/0.65 (define @t183 () (or @t149 @t137 @t161 @t182)) % 0.44/0.65 (define @t184 () (tptp.less_than @t92 @t155)) % 0.44/0.65 (define @t185 () (not @t184)) % 0.44/0.65 (define @t186 () (or @t158 @t185)) % 0.44/0.65 (define @t187 () (not @t186)) % 0.44/0.65 (define @t188 () (not @t5)) % 0.44/0.65 (define @t189 () (not @t6)) % 0.44/0.65 (define @t190 () (not @t156)) % 0.44/0.65 (define @t191 () (tptp.less_than @t135 @t155)) % 0.44/0.65 (define @t192 () (not @t191)) % 0.44/0.65 (define @t193 () (or @t192 @t190 @t171)) % 0.44/0.65 (define @t194 () (and @t168 @t184)) % 0.44/0.65 (define @t195 () (tptp.check_cpq @t101)) % 0.44/0.65 (define @t196 () (= @t195 @t153)) % 0.44/0.65 (define @t197 () (not @t195)) % 0.44/0.65 (define @t198 () (not @t105)) % 0.44/0.65 (define @t199 () (tptp.less_than @t94 @t92)) % 0.44/0.65 (define @t200 () (not @t199)) % 0.44/0.65 (define @t201 () (tptp.less_than @t92 @t94)) % 0.44/0.65 (define @t202 () (and @t201 @t200)) % 0.44/0.65 (define @t203 () (= @t106 @t202)) % 0.44/0.65 (define @t204 () (not @t202)) % 0.44/0.65 (define @t205 () (not @t55)) % 0.44/0.65 (define @t206 () (or @t46 @t45 @t205 @t54)) % 0.44/0.65 (define @t207 () (forall @t8 @t206)) % 0.44/0.65 (define @t208 () (or @t98 @t45 @t205)) % 0.44/0.65 (define @t209 () (tptp.triple @t91 @t100 @t102)) % 0.44/0.65 (define @t210 () (= @t104 @t209)) % 0.44/0.65 (define @t211 () (or @t110 @t109 @t200 @t210)) % 0.44/0.65 (define @t212 () (or @t113 @t109 @t200 @t210)) % 0.44/0.65 (define @t213 () (tptp.check_cpq @t209)) % 0.44/0.65 (define @t214 () (forall @t8 (= @t29 (forall @t63 (or (not @t62) @t31))))) % 0.44/0.65 (define @t215 () (= @t213 @t153)) % 0.44/0.65 (define @t216 () (= @t153 @t213)) % 0.44/0.65 (define @t217 () (not @t213)) % 0.44/0.65 (define @t218 () (not @t210)) % 0.44/0.65 (define @t219 () (or @t199 @t201)) % 0.44/0.65 (define @t220 () (not @t201)) % 0.44/0.65 (assume @p1 @t9) % 0.44/0.65 (assume @p2 (forall @t11 (or @t6 @t10))) % 0.44/0.65 (assume @p3 (forall @t12 (tptp.less_than @t2 @t2))) % 0.44/0.65 (assume @p4 (forall @t11 (= (tptp.strictly_less_than @t2 @t4) (and @t6 (not @t10))))) % 0.44/0.65 (assume @p5 (forall @t12 (tptp.less_than tptp.bottom @t2))) % 0.44/0.65 (assume @p6 (not (tptp.isnonempty_slb tptp.create_slb))) % 0.44/0.65 (assume @p7 (forall @t8 (tptp.isnonempty_slb @t14))) % 0.44/0.65 (assume @p8 (forall @t12 (not (tptp.contains_slb tptp.create_slb @t2)))) % 0.44/0.65 (assume @p9 (forall @t20 (= (tptp.contains_slb @t19 @t1) (or @t16 @t15)))) % 0.44/0.65 (assume @p10 (forall @t11 (not (tptp.pair_in_list tptp.create_slb @t2 @t4)))) % 0.44/0.65 (assume @p11 (forall @t22 (= (tptp.pair_in_list @t19 @t1 @t21) (or (tptp.pair_in_list @t2 @t1 @t21) (and @t15 (= @t17 @t21)))))) % 0.44/0.65 (assume @p12 (forall @t8 (= (tptp.remove_slb @t14 @t4) @t2))) % 0.44/0.65 (assume @p13 (forall @t20 (=> @t23 (= (tptp.remove_slb @t19 @t1) (tptp.insert_slb (tptp.remove_slb @t2 @t1) @t18))))) % 0.44/0.65 (assume @p14 (forall @t8 (= (tptp.lookup_slb @t14 @t4) @t1))) % 0.44/0.65 (assume @p15 (forall @t20 (=> @t23 (= (tptp.lookup_slb @t19 @t1) (tptp.lookup_slb @t2 @t1))))) % 0.44/0.65 (assume @p16 (forall @t12 (= (tptp.update_slb tptp.create_slb @t2) tptp.create_slb))) % 0.44/0.65 (assume @p17 (forall @t20 (=> (tptp.strictly_less_than @t17 @t1) (= @t25 (tptp.insert_slb @t24 @t13))))) % 0.44/0.65 (assume @p18 (forall @t20 (=> (tptp.less_than @t1 @t17) (= @t25 (tptp.insert_slb @t24 @t18))))) % 0.44/0.65 (assume @p19 (forall @t12 (tptp.succ_cpq @t2 @t2))) % 0.44/0.65 (assume @p20 (forall @t8 (=> @t26 (tptp.succ_cpq @t2 (tptp.insert_cpq @t4 @t1))))) % 0.44/0.65 (assume @p21 (forall @t8 (=> @t26 (tptp.succ_cpq @t2 (tptp.remove_cpq @t4 @t1))))) % 0.44/0.65 (assume @p22 (forall @t11 (=> @t26 (tptp.succ_cpq @t2 (tptp.findmin_cpq_eff @t4))))) % 0.44/0.65 (assume @p23 (forall @t11 (=> @t26 (tptp.succ_cpq @t2 (tptp.removemin_cpq_eff @t4))))) % 0.44/0.65 (assume @p24 (forall @t11 (tptp.check_cpq @t27))) % 0.44/0.65 (assume @p25 (forall @t22 (=> @t31 (= @t30 @t29)))) % 0.44/0.65 (assume @p26 (forall @t22 (=> (tptp.strictly_less_than @t17 @t21) (= @t30 false)))) % 0.44/0.65 (assume @p27 (forall @t20 (= @t33 @t32))) % 0.44/0.65 (assume @p28 (forall @t11 (= (tptp.ok @t34) false))) % 0.44/0.65 (assume @p29 (forall @t8 (=> (not (tptp.ok @t28)) (= @t1 tptp.bad)))) % 0.44/0.65 (assume @p30 (forall @t20 (= (tptp.insert_cpq @t28 @t17) (tptp.triple (tptp.insert_pqp @t2 @t17) (tptp.insert_slb @t4 (tptp.pair @t17 tptp.bottom)) @t1)))) % 0.44/0.65 (assume @p31 (forall @t20 (=> @t36 (= @t35 @t34)))) % 0.44/0.65 (assume @p32 (forall @t20 (=> (and @t32 (tptp.less_than @t39 @t17)) (= @t35 (tptp.triple @t38 @t37 @t1))))) % 0.44/0.65 (assume @p33 (forall @t20 (=> (and @t32 (tptp.strictly_less_than @t17 @t39)) (= @t35 (tptp.triple @t38 @t37 tptp.bad))))) % 0.44/0.65 (assume @p34 (forall @t11 (= (tptp.findmin_cpq_eff @t27) (tptp.triple @t2 tptp.create_slb tptp.bad)))) % 0.44/0.65 (assume @p35 @t49) % 0.44/0.65 (assume @p36 @t53) % 0.44/0.65 (assume @p37 @t57) % 0.44/0.65 (assume @p38 (forall @t11 (= (tptp.findmin_cpq_res @t27) tptp.bottom))) % 0.44/0.65 (assume @p39 @t60) % 0.44/0.65 (assume @p40 (forall @t12 (= (tptp.removemin_cpq_eff @t2) (tptp.remove_cpq (tptp.findmin_cpq_eff @t2) @t61)))) % 0.44/0.65 (assume @p41 (forall @t12 (= (tptp.removemin_cpq_res @t2) @t61))) % 0.44/0.65 (assume @p42 @t66) % 0.44/0.65 (assume @p43 @t77) % 0.44/0.65 (assume @p44 @t84) % 0.44/0.65 (assume @p45 true) % 0.44/0.65 (step @p46 :rule instantiate :premises (@p4) :args ((@list @t92 @t94))) % 0.44/0.65 (step @p47 :rule quant-unused-vars :args ((= (forall @t20 @t96) @t97))) % 0.44/0.65 (step @p48 :rule aci_norm :args ((= (or (or @t46 @t45 @t95) @t43) @t96))) % 0.44/0.65 (step @p49 :rule refl :args (@t43)) % 0.44/0.65 (step @p50 :rule refl :args (@t95)) % 0.44/0.65 (step @p51 :rule refl :args (@t45)) % 0.44/0.65 (step @p52 :rule bool-double-not-elim :args (@t46)) % 0.44/0.65 (step @p53 :rule nary_cong :premises (@p52 @p51 @p50) :args (@t99)) % 0.44/0.65 (step @p54 :rule aci_norm :args ((= (or @t98 (or @t45 @t95)) @t99))) % 0.44/0.65 (step @p55 :rule trans :premises (@p54 @p53)) % 0.44/0.65 (step @p56 :rule bool-and-de-morgan :args (@t44 @t51 true)) % 0.44/0.65 (step @p57 :rule refl :args (@t98)) % 0.44/0.65 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or @t98 (not (and @t44 @t51))))) % 0.44/0.65 (step @p59 :rule bool-and-de-morgan :args (@t47 @t44 (and @t51))) % 0.44/0.65 (step @p60 :rule trans :premises (@p59 @p58)) % 0.44/0.65 (step @p61 :rule trans :premises (@p60 @p55)) % 0.44/0.65 (step @p62 :rule nary_cong :premises (@p61 @p49) :args ((or (not @t52) @t43))) % 0.44/0.65 (step @p63 :rule trans :premises (@p62 @p48)) % 0.44/0.65 (step @p64 :rule bool-impl-elim :args (@t52 @t43)) % 0.44/0.65 (step @p65 :rule trans :premises (@p64 @p63)) % 0.44/0.65 (step @p66 :rule cong :premises (@p65) :args (@t53)) % 0.44/0.65 (step @p67 :rule trans :premises (@p66 @p47)) % 0.44/0.65 (step @p68 :rule eq_resolve :premises (@p36 @p67)) % 0.44/0.65 (step @p69 :rule refl :args (@t105)) % 0.44/0.65 (step @p70 :rule refl :args (@t107)) % 0.44/0.65 (step @p71 :rule refl :args (@t109)) % 0.44/0.65 (step @p72 :rule eq-symm :args (@t93 tptp.create_slb)) % 0.44/0.65 (step @p73 :rule nary_cong :premises (@p72 @p71 @p70 @p69) :args (@t111)) % 0.44/0.65 (step @p74 :rule refl :args (@t97)) % 0.44/0.65 (step @p75 :rule cong :premises (@p74 @p73) :args ((=> @t97 @t111))) % 0.44/0.65 (assume-push @p451 @t97) % 0.44/0.65 (step @p77 :rule instantiate :premises (@p68) :args (@t112)) % 0.44/0.65 (step-pop @p452 :rule scope :premises (@p77)) % 0.44/0.65 (step @p78 :rule process_scope :premises (@p452) :args (@t111)) % 0.44/0.65 (step @p80 :rule eq_resolve :premises (@p78 @p75)) % 0.44/0.65 (step @p81 :rule implies_elim :premises (@p80)) % 0.44/0.65 (step @p82 :rule chain_m_resolution :premises (@p81 @p68) :args (@t114 @t115 (@list @t97))) % 0.44/0.65 (step @p83 :rule quant-unused-vars :args ((= (forall @t20 @t116) @t117))) % 0.44/0.65 (step @p84 :rule aci_norm :args ((= (or (or @t46 @t44) @t43) @t116))) % 0.44/0.65 (step @p85 :rule bool-double-not-elim :args (@t44)) % 0.44/0.65 (step @p86 :rule nary_cong :premises (@p52 @p85) :args ((or @t98 (not @t45)))) % 0.44/0.65 (step @p87 :rule bool-and-de-morgan :args (@t47 @t45 true)) % 0.44/0.65 (step @p88 :rule trans :premises (@p87 @p86)) % 0.44/0.65 (step @p89 :rule nary_cong :premises (@p88 @p49) :args ((or (not @t48) @t43))) % 0.44/0.65 (step @p90 :rule trans :premises (@p89 @p84)) % 0.44/0.65 (step @p91 :rule bool-impl-elim :args (@t48 @t43)) % 0.44/0.65 (step @p92 :rule trans :premises (@p91 @p90)) % 0.44/0.65 (step @p93 :rule cong :premises (@p92) :args (@t49)) % 0.44/0.65 (step @p94 :rule trans :premises (@p93 @p83)) % 0.44/0.65 (step @p95 :rule eq_resolve :premises (@p35 @p94)) % 0.44/0.65 (step @p96 :rule refl :args (@t108)) % 0.44/0.65 (step @p97 :rule nary_cong :premises (@p72 @p96 @p69) :args (@t118)) % 0.44/0.65 (step @p98 :rule refl :args (@t117)) % 0.44/0.65 (step @p99 :rule cong :premises (@p98 @p97) :args ((=> @t117 @t118))) % 0.44/0.65 (assume-push @p453 @t117) % 0.44/0.65 (step @p101 :rule instantiate :premises (@p95) :args (@t112)) % 0.44/0.65 (step-pop @p454 :rule scope :premises (@p101)) % 0.44/0.65 (step @p102 :rule process_scope :premises (@p454) :args (@t118)) % 0.44/0.65 (step @p104 :rule eq_resolve :premises (@p102 @p99)) % 0.44/0.65 (step @p105 :rule implies_elim :premises (@p104)) % 0.44/0.65 (step @p106 :rule chain_m_resolution :premises (@p105 @p95) :args (@t119 @t115 (@list @t117))) % 0.44/0.65 (step @p107 :rule instantiate :premises (@p8) :args ((@list @t120))) % 0.44/0.65 (step @p108 :rule instantiate :premises (@p27) :args (@t121)) % 0.44/0.65 (step @p109 :rule aci_norm :args ((= @t123 @t88))) % 0.44/0.65 (step @p110 :rule cong :premises (@p109) :args (@t124)) % 0.44/0.65 (step @p111 :rule quant-merge-prenex :args ((= (forall @t8 @t126) @t124))) % 0.44/0.65 (step @p112 :rule refl :args (@t78)) % 0.44/0.65 (step @p113 :rule alpha_equiv :args (@t127 (@list @t85) (@list @t17))) % 0.44/0.65 (step @p114 :rule nary_cong :premises (@p113 @p112) :args (@t128)) % 0.44/0.65 (step @p115 :rule quant-miniscope-or :args ((= @t126 @t128))) % 0.44/0.65 (step @p116 :rule trans :premises (@p115 @p114)) % 0.44/0.65 (step @p117 :rule symm :premises (@p116)) % 0.44/0.65 (step @p118 :rule cong :premises (@p117) :args ((forall @t8 (or @t130 @t78)))) % 0.44/0.65 (step @p119 :rule trans :premises (@p118 @p111)) % 0.44/0.65 (step @p120 :rule trans :premises (@p119 @p110)) % 0.44/0.65 (step @p121 :rule bool-double-not-elim :args (@t130)) % 0.44/0.65 (step @p122 :rule nary_cong :premises (@p121 @p112) :args ((or (not @t131) @t78))) % 0.44/0.65 (step @p123 :rule bool-impl-elim :args (@t131 @t78)) % 0.44/0.65 (step @p124 :rule trans :premises (@p123 @p122)) % 0.44/0.65 (step @p125 :rule cong :premises (@p124) :args ((forall @t8 (=> @t131 @t78)))) % 0.44/0.65 (step @p126 :rule trans :premises (@p125 @p120)) % 0.44/0.65 (step @p127 :rule refl :args (@t78)) % 0.44/0.65 (step @p128 :rule bool-and-de-morgan :args (@t33 @t74 true)) % 0.44/0.65 (step @p129 :rule cong :premises (@p128) :args (@t132)) % 0.44/0.65 (step @p130 :rule cong :premises (@p129) :args (@t133)) % 0.44/0.65 (step @p131 :rule exists-elim :args ((= @t81 @t133))) % 0.44/0.65 (step @p132 :rule trans :premises (@p131 @p130)) % 0.44/0.65 (step @p133 :rule cong :premises (@p132 @p127) :args (@t82)) % 0.44/0.65 (step @p134 :rule cong :premises (@p133) :args (@t83)) % 0.44/0.65 (step @p135 :rule trans :premises (@p134 @p126)) % 0.44/0.65 (step @p136 :rule cong :premises (@p135) :args (@t84)) % 0.44/0.65 (step @p137 :rule eq_resolve :premises (@p44 @p136)) % 0.44/0.65 (step @p138 :rule skolemize :premises (@p137)) % 0.44/0.65 (step @p139 :rule bool-double-not-elim :args (@t134)) % 0.44/0.65 (step @p140 :rule refl :args (@t141)) % 0.44/0.65 (step @p141 :rule nary_cong :premises (@p140 @p139) :args ((or @t141 (not @t138)))) % 0.44/0.65 (step @p142 :rule cnf_or_neg :args (@t141 1)) % 0.44/0.65 (step @p143 :rule eq_resolve :premises (@p142 @p141)) % 0.44/0.65 (step @p144 :rule reordering :premises (@p143) :args ((or @t134 @t141))) % 0.44/0.65 (step @p145 :rule chain_m_resolution :premises (@p144 @p138) :args (@t134 @t142 @t143)) % 0.44/0.65 (step @p146 :rule cnf_equiv_pos1 :args (@t145)) % 0.44/0.65 (step @p147 :rule reordering :premises (@p146) :args ((or @t138 @t144 (not @t145)))) % 0.44/0.65 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p108) :args (@t144 @t146 (@list @t134 @t145))) % 0.44/0.65 (step @p149 :rule bool-double-not-elim :args (@t147)) % 0.44/0.65 (step @p150 :rule refl :args (@t148)) % 0.44/0.65 (step @p151 :rule refl :args (@t149)) % 0.44/0.65 (step @p152 :rule nary_cong :premises (@p151 @p150 @p149) :args ((or @t149 @t148 (not @t150)))) % 0.44/0.65 (assume-push @p455 @t144) % 0.44/0.65 (assume-push @p456 @t113) % 0.44/0.65 (assume-push @p457 @t150) % 0.44/0.65 (step @p156 :rule evaluate :args (@t151)) % 0.44/0.65 (step @p157 :rule true_intro :premises (@p148)) % 0.44/0.65 (step @p158 :rule refl :args (@t120)) % 0.44/0.65 (step @p159 :rule cong :premises (@p456 @p158) :args (@t147)) % 0.44/0.65 (step @p160 :rule false_intro :premises (@p107)) % 0.44/0.65 (step @p161 :rule symm :premises (@p160)) % 0.44/0.65 (step @p162 :rule trans :premises (@p161 @p159 @p157)) % 0.44/0.65 (step @p163 false :rule eq_resolve :premises (@p162 @p156)) % 0.44/0.65 (step-pop @p458 :rule scope :premises (@p163)) % 0.44/0.65 (step-pop @p459 :rule scope :premises (@p458)) % 0.44/0.65 (step-pop @p460 :rule scope :premises (@p459)) % 0.44/0.65 (step @p164 :rule process_scope :premises (@p460) :args (false)) % 0.44/0.65 (step @p168 :rule not_and :premises (@p164)) % 0.44/0.65 (step @p169 :rule eq_resolve :premises (@p168 @p152)) % 0.44/0.65 (step @p170 :rule chain_m_resolution :premises (@p169 @p148 @p107) :args (@t148 @t152 (@list @t144 @t147))) % 0.44/0.65 (step @p171 :rule bool-impl-elim :args (@t62 @t31)) % 0.44/0.65 (step @p172 :rule cong :premises (@p171) :args (@t64)) % 0.44/0.65 (step @p173 :rule refl :args (@t29)) % 0.44/0.65 (step @p174 :rule cong :premises (@p173 @p172) :args (@t65)) % 0.44/0.65 (step @p175 :rule cong :premises (@p174) :args (@t66)) % 0.44/0.65 (step @p176 :rule eq_resolve :premises (@p42 @p175)) % 0.44/0.65 (step @p177 :rule instantiate :premises (@p176) :args ((@list @t91 @t100 tptp.bad))) % 0.44/0.65 (assume-push @p461 @t153) % 0.44/0.65 (step @p179 :rule instantiate :premises (@p461) :args ((@list @t120 @t155))) % 0.44/0.65 (step-pop @p462 :rule scope :premises (@p179)) % 0.44/0.65 (step @p180 :rule process_scope :premises (@p462) :args (@t159)) % 0.44/0.65 (step @p182 :rule implies_elim :premises (@p180)) % 0.44/0.65 (assume-push @p463 @t153) % 0.44/0.65 (step @p184 :rule instantiate :premises (@p463) :args ((@list @t120 @t92))) % 0.44/0.65 (step-pop @p464 :rule scope :premises (@p184)) % 0.44/0.65 (step @p185 :rule process_scope :premises (@p464) :args (@t163)) % 0.44/0.65 (step @p187 :rule implies_elim :premises (@p185)) % 0.44/0.65 (step @p188 :rule quant-unused-vars :args ((= (forall @t20 @t165) @t166))) % 0.44/0.65 (step @p189 :rule refl :args (@t164)) % 0.44/0.65 (step @p190 :rule nary_cong :premises (@p52 @p189) :args ((or @t98 @t164))) % 0.44/0.65 (step @p191 :rule bool-impl-elim :args (@t47 @t164)) % 0.44/0.65 (step @p192 :rule trans :premises (@p191 @p190)) % 0.44/0.65 (step @p193 :rule cong :premises (@p192) :args ((forall @t20 (=> @t47 @t164)))) % 0.44/0.65 (step @p194 :rule trans :premises (@p193 @p188)) % 0.44/0.65 (step @p195 :rule eq-symm :args (@t58 @t40)) % 0.44/0.65 (step @p196 :rule refl :args (@t47)) % 0.44/0.65 (step @p197 :rule cong :premises (@p196 @p195) :args (@t59)) % 0.44/0.65 (step @p198 :rule cong :premises (@p197) :args (@t60)) % 0.44/0.65 (step @p199 :rule trans :premises (@p198 @p194)) % 0.44/0.65 (step @p200 :rule eq_resolve :premises (@p39 @p199)) % 0.44/0.65 (step @p201 :rule eq-symm :args (@t92 @t135)) % 0.44/0.65 (step @p202 :rule nary_cong :premises (@p72 @p201) :args (@t167)) % 0.44/0.65 (step @p203 :rule refl :args (@t166)) % 0.44/0.65 (step @p204 :rule cong :premises (@p203 @p202) :args ((=> @t166 @t167))) % 0.44/0.65 (assume-push @p465 @t166) % 0.44/0.65 (step @p206 :rule instantiate :premises (@p200) :args (@t112)) % 0.44/0.65 (step-pop @p466 :rule scope :premises (@p206)) % 0.44/0.65 (step @p207 :rule process_scope 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% 0.44/0.65 (step @p221 :rule chain_m_resolution :premises (@p220 @p138) :args (@t136 @t142 @t143)) % 0.44/0.65 (step @p222 :rule cnf_equiv_pos1 :args (@t174)) % 0.44/0.65 (step @p223 :rule reordering :premises (@p222) :args ((or @t137 @t173 (not @t174)))) % 0.44/0.65 (step @p224 :rule chain_m_resolution :premises (@p223 @p221 @p215) :args (@t173 @t146 (@list @t136 @t174))) % 0.44/0.65 (step @p225 :rule cnf_and_pos :args (@t173 1)) % 0.44/0.65 (step @p226 :rule reordering :premises (@p225) :args ((or @t172 (not @t173)))) % 0.44/0.65 (step @p227 :rule chain_m_resolution :premises (@p226 @p224) :args (@t172 @t115 (@list @t173))) % 0.44/0.65 (step @p228 :rule refl :args (@t175)) % 0.44/0.65 (step @p229 :rule refl :args (@t176)) % 0.44/0.65 (step @p230 :rule bool-double-not-elim :args (@t171)) % 0.44/0.65 (step @p231 :rule nary_cong :premises (@p230 @p229 @p228) :args ((or (not @t172) @t176 @t175))) % 0.44/0.65 (assume-push @p467 @t172) % 0.44/0.65 (assume-push @p468 @t168) % 0.44/0.65 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@t193 @t171 @t156 @t184 @t157 @t186 @t154 @t144 @t183 @t136 @t161 @t160 @t163 @t159))) % 0.44/0.65 (step @p334 :rule cnf_equiv_pos1 :args (@t196)) % 0.44/0.65 (step @p335 :rule reordering :premises (@p334) :args ((or @t153 @t197 (not @t196)))) % 0.44/0.65 (step @p336 :rule chain_m_resolution :premises (@p335 @p333 @p177) :args (@t197 @t170 (@list @t153 @t196))) % 0.44/0.65 (step @p337 :rule bool-double-not-elim :args (@t139)) % 0.44/0.65 (step @p338 :rule nary_cong :premises (@p140 @p337) :args ((or @t141 (not @t140)))) % 0.44/0.65 (step @p339 :rule cnf_or_neg :args (@t141 0)) % 0.44/0.65 (step @p340 :rule eq_resolve :premises (@p339 @p338)) % 0.44/0.65 (step @p341 :rule reordering :premises (@p340) :args ((or @t139 @t141))) % 0.44/0.65 (step @p342 :rule chain_m_resolution :premises (@p341 @p138) :args (@t139 @t142 @t143)) % 0.44/0.65 (step @p343 :rule bool-double-not-elim :args (@t195)) % 0.44/0.65 (step @p344 :rule refl :args (@t198)) % 0.44/0.65 (step @p345 :rule refl :args (@t140)) 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(step @p399 :rule process_scope :premises (@p492) :args (@t211)) % 0.44/0.65 (step @p401 :rule eq_resolve :premises (@p399 @p396)) % 0.44/0.65 (step @p402 :rule implies_elim :premises (@p401)) % 0.44/0.65 (step @p403 :rule chain_m_resolution :premises (@p402 @p391) :args (@t212 @t115 (@list @t207))) % 0.44/0.65 (step @p404 :rule eq-symm :args (@t213 @t153)) % 0.44/0.65 (step @p405 :rule refl :args (@t214)) % 0.44/0.65 (step @p406 :rule cong :premises (@p405 @p404) :args ((=> @t214 @t215))) % 0.44/0.65 (assume-push @p493 @t214) % 0.44/0.65 (step @p408 :rule instantiate :premises (@p176) :args ((@list @t91 @t100 @t102))) % 0.44/0.65 (step-pop @p494 :rule scope :premises (@p408)) % 0.44/0.65 (step @p409 :rule process_scope :premises (@p494) :args (@t215)) % 0.44/0.65 (step @p411 :rule eq_resolve :premises (@p409 @p406)) % 0.44/0.65 (step @p412 :rule implies_elim :premises (@p411)) % 0.44/0.65 (step @p413 :rule chain_m_resolution :premises (@p412 @p176) :args (@t216 @t115 (@list @t214))) % 0.44/0.65 (step @p414 :rule cnf_equiv_pos2 :args (@t216)) % 0.44/0.65 (step @p415 :rule reordering :premises (@p414) :args ((or @t153 @t217 (not @t216)))) % 0.44/0.65 (step @p416 :rule chain_m_resolution :premises (@p415 @p333 @p413) :args (@t217 @t170 (@list @t153 @t216))) % 0.44/0.65 (step @p417 :rule bool-double-not-elim :args (@t213)) % 0.44/0.65 (step @p418 :rule refl :args (@t218)) % 0.44/0.65 (step @p419 :rule nary_cong :premises (@p345 @p418 @p417) :args ((or @t140 @t218 (not @t217)))) % 0.44/0.65 (assume-push @p495 @t139) % 0.44/0.65 (assume-push @p496 @t210) % 0.44/0.65 (assume-push @p497 @t217) % 0.44/0.65 (step @p156 :rule evaluate :args (@t151)) % 0.44/0.65 (step @p350 :rule true_intro :premises (@p342)) % 0.44/0.65 (step @p423 :rule symm :premises (@p496)) % 0.44/0.65 (step @p424 :rule cong :premises (@p423) :args (@t213)) % 0.44/0.65 (step @p425 :rule false_intro :premises (@p497)) % 0.44/0.65 (step @p426 :rule symm :premises (@p425)) % 0.44/0.65 (step @p427 :rule trans 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cvc5 exiting %------------------------------------------------------------------------------