%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV396+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 : n004.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 09:01:21 AM UTC 2026 % Result : Theorem 0.46s 0.67s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV396+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 % 0.18/0.34 % Computer : n004.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 20:06:37 EDT 2026 % 0.18/0.34 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.67 % SZS status Theorem % 0.46/0.67 % SZS output start Proof % 0.46/0.67 ( % 0.46/0.67 (declare-sort $$unsorted 0) % 0.46/0.67 (declare-const tptp.findmin_cpq_res (-> $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.check_cpq (-> $$unsorted Bool)) % 0.46/0.67 (declare-const tptp.triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.removemin_cpq_eff (-> $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.findmin_cpq_eff (-> $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.remove_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.insert_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.insert_cpq (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.less_than (-> $$unsorted $$unsorted Bool)) % 0.46/0.67 (declare-const tptp.strictly_less_than (-> $$unsorted $$unsorted Bool)) % 0.46/0.67 (declare-const tptp.findmin_pqp_res (-> $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.bottom $$unsorted) % 0.46/0.67 (declare-const tptp.create_slb $$unsorted) % 0.46/0.67 (declare-const tptp.lookup_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.isnonempty_slb (-> $$unsorted Bool)) % 0.46/0.67 (declare-const tptp.removemin_cpq_res (-> $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.remove_pqp (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.contains_cpq (-> $$unsorted $$unsorted Bool)) % 0.46/0.67 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.insert_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.ok (-> $$unsorted Bool)) % 0.46/0.67 (declare-const tptp.contains_slb (-> $$unsorted $$unsorted Bool)) % 0.46/0.67 (declare-const tptp.succ_cpq (-> $$unsorted $$unsorted Bool)) % 0.46/0.67 (declare-const tptp.pair_in_list (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.67 (declare-const tptp.bad $$unsorted) % 0.46/0.67 (declare-const tptp.remove_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.update_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (define @t1 () (@var "W" $$unsorted)) % 0.46/0.67 (define @t2 () (@var "U" $$unsorted)) % 0.46/0.67 (define @t3 () (@var "V" $$unsorted)) % 0.46/0.67 (define @t4 () (tptp.less_than @t2 @t3)) % 0.46/0.67 (define @t5 () (@list @t2 @t3 @t1)) % 0.46/0.67 (define @t6 () (tptp.less_than @t3 @t2)) % 0.46/0.67 (define @t7 () (@list @t2 @t3)) % 0.46/0.67 (define @t8 () (@list @t2)) % 0.46/0.67 (define @t9 () (tptp.pair @t3 @t1)) % 0.46/0.67 (define @t10 () (tptp.insert_slb @t2 @t9)) % 0.46/0.67 (define @t11 () (= @t3 @t1)) % 0.46/0.67 (define @t12 () (tptp.contains_slb @t2 @t1)) % 0.46/0.67 (define @t13 () (@var "X" $$unsorted)) % 0.46/0.67 (define @t14 () (tptp.pair @t3 @t13)) % 0.46/0.67 (define @t15 () (tptp.insert_slb @t2 @t14)) % 0.46/0.67 (define @t16 () (@list @t2 @t3 @t1 @t13)) % 0.46/0.67 (define @t17 () (forall @t16 (= (tptp.contains_slb @t15 @t1) (or @t12 @t11)))) % 0.46/0.67 (define @t18 () (@var "Y" $$unsorted)) % 0.46/0.67 (define @t19 () (@list @t2 @t3 @t1 @t13 @t18)) % 0.46/0.67 (define @t20 () (forall @t19 (= (tptp.pair_in_list @t15 @t1 @t18) (or (tptp.pair_in_list @t2 @t1 @t18) (and @t11 (= @t13 @t18)))))) % 0.46/0.67 (define @t21 () (tptp.remove_slb @t10 @t3)) % 0.46/0.67 (define @t22 () (forall @t5 (= @t21 @t2))) % 0.46/0.67 (define @t23 () (= (tptp.remove_slb @t15 @t1) (tptp.insert_slb (tptp.remove_slb @t2 @t1) @t14))) % 0.46/0.67 (define @t24 () (not @t11)) % 0.46/0.67 (define @t25 () (and @t24 @t12)) % 0.46/0.67 (define @t26 () (forall @t16 (=> @t25 @t23))) % 0.46/0.67 (define @t27 () (tptp.lookup_slb @t10 @t3)) % 0.46/0.67 (define @t28 () (forall @t5 (= @t27 @t1))) % 0.46/0.67 (define @t29 () (= (tptp.lookup_slb @t15 @t1) (tptp.lookup_slb @t2 @t1))) % 0.46/0.67 (define @t30 () (forall @t16 (=> @t25 @t29))) % 0.46/0.67 (define @t31 () (tptp.update_slb @t2 @t1)) % 0.46/0.67 (define @t32 () (tptp.update_slb @t15 @t1)) % 0.46/0.67 (define @t33 () (tptp.succ_cpq @t2 @t3)) % 0.46/0.67 (define @t34 () (tptp.triple @t2 tptp.create_slb @t3)) % 0.46/0.67 (define @t35 () (tptp.triple @t2 @t3 @t1)) % 0.46/0.67 (define @t36 () (tptp.check_cpq (tptp.triple @t2 (tptp.insert_slb @t3 (tptp.pair @t13 @t18)) @t1))) % 0.46/0.67 (define @t37 () (tptp.strictly_less_than @t13 @t18)) % 0.46/0.67 (define @t38 () (tptp.contains_slb @t3 @t13)) % 0.46/0.67 (define @t39 () (tptp.triple @t2 @t3 tptp.bad)) % 0.46/0.67 (define @t40 () (tptp.ok @t39)) % 0.46/0.67 (define @t41 () (forall @t7 (= @t40 false))) % 0.46/0.67 (define @t42 () (= @t1 tptp.bad)) % 0.46/0.67 (define @t43 () (tptp.ok @t35)) % 0.46/0.67 (define @t44 () (not @t43)) % 0.46/0.67 (define @t45 () (forall @t5 (=> @t44 @t42))) % 0.46/0.67 (define @t46 () (tptp.remove_cpq @t35 @t13)) % 0.46/0.67 (define @t47 () (not @t38)) % 0.46/0.67 (define @t48 () (=> @t47 (= @t46 @t39))) % 0.46/0.67 (define @t49 () (forall @t16 @t48)) % 0.46/0.67 (define @t50 () (tptp.remove_slb @t3 @t13)) % 0.46/0.67 (define @t51 () (tptp.remove_pqp @t2 @t13)) % 0.46/0.67 (define @t52 () (= @t46 (tptp.triple @t51 @t50 @t1))) % 0.46/0.67 (define @t53 () (tptp.lookup_slb @t3 @t13)) % 0.46/0.67 (define @t54 () (tptp.less_than @t53 @t13)) % 0.46/0.67 (define @t55 () (and @t38 @t54)) % 0.46/0.67 (define @t56 () (forall @t16 (=> @t55 @t52))) % 0.46/0.67 (define @t57 () (= @t46 (tptp.triple @t51 @t50 tptp.bad))) % 0.46/0.67 (define @t58 () (tptp.strictly_less_than @t13 @t53)) % 0.46/0.67 (define @t59 () (and @t38 @t58)) % 0.46/0.67 (define @t60 () (forall @t16 (=> @t59 @t57))) % 0.46/0.67 (define @t61 () (tptp.findmin_pqp_res @t2)) % 0.46/0.67 (define @t62 () (tptp.update_slb @t3 @t61)) % 0.46/0.67 (define @t63 () (tptp.findmin_cpq_eff @t35)) % 0.46/0.67 (define @t64 () (= @t63 (tptp.triple @t2 @t62 tptp.bad))) % 0.46/0.67 (define @t65 () (tptp.contains_slb @t3 @t61)) % 0.46/0.67 (define @t66 () (not (= @t3 tptp.create_slb))) % 0.46/0.67 (define @t67 () (tptp.lookup_slb @t3 @t61)) % 0.46/0.67 (define @t68 () (tptp.findmin_cpq_res @t2)) % 0.46/0.67 (define @t69 () (@var "X3" $$unsorted)) % 0.46/0.67 (define @t70 () (@var "X2" $$unsorted)) % 0.46/0.67 (define @t71 () (@var "X5" $$unsorted)) % 0.46/0.67 (define @t72 () (@var "X4" $$unsorted)) % 0.46/0.67 (define @t73 () (tptp.insert_slb @t2 (tptp.pair @t72 @t71))) % 0.46/0.67 (define @t74 () (tptp.pair_in_list (tptp.remove_slb @t73 @t70) @t70 @t69)) % 0.46/0.67 (define @t75 () (@var "X1" $$unsorted)) % 0.46/0.67 (define @t76 () (@var "Z" $$unsorted)) % 0.46/0.67 (define @t77 () (tptp.ok (tptp.remove_cpq (tptp.triple @t76 @t73 @t75) @t70))) % 0.46/0.67 (define @t78 () (tptp.strictly_less_than @t70 @t69)) % 0.46/0.67 (define @t79 () (tptp.pair_in_list @t73 @t70 @t69)) % 0.46/0.67 (define @t80 () (and @t79 @t78 @t77)) % 0.46/0.67 (define @t81 () (@list @t76 @t75 @t70 @t69 @t72 @t71)) % 0.46/0.67 (define @t82 () (forall @t81 (=> @t80 @t74))) % 0.46/0.67 (define @t83 () (tptp.pair_in_list (tptp.remove_slb @t2 @t13) @t13 @t18)) % 0.46/0.67 (define @t84 () (tptp.ok (tptp.remove_cpq (tptp.triple @t3 @t2 @t1) @t13))) % 0.46/0.67 (define @t85 () (tptp.pair_in_list @t2 @t13 @t18)) % 0.46/0.67 (define @t86 () (and @t85 @t37 @t84)) % 0.46/0.67 (define @t87 () (@list @t3 @t1 @t13 @t18)) % 0.46/0.67 (define @t88 () (forall @t87 (=> @t86 @t83))) % 0.46/0.67 (define @t89 () (=> @t88 @t82)) % 0.46/0.67 (define @t90 () (forall @t8 @t89)) % 0.46/0.67 (define @t91 () (not @t90)) % 0.46/0.67 (define @t92 () (@var "BOUND_VARIABLE_7818" $$unsorted)) % 0.46/0.67 (define @t93 () (@var "BOUND_VARIABLE_7816" $$unsorted)) % 0.46/0.67 (define @t94 () (@var "BOUND_VARIABLE_7822" $$unsorted)) % 0.46/0.67 (define @t95 () (@var "BOUND_VARIABLE_7820" $$unsorted)) % 0.46/0.67 (define @t96 () (tptp.insert_slb @t2 (tptp.pair @t95 @t94))) % 0.46/0.67 (define @t97 () (tptp.pair_in_list (tptp.remove_slb @t96 @t93) @t93 @t92)) % 0.46/0.67 (define @t98 () (@var "BOUND_VARIABLE_7814" $$unsorted)) % 0.46/0.67 (define @t99 () (@var "BOUND_VARIABLE_7812" $$unsorted)) % 0.46/0.67 (define @t100 () (not (tptp.ok (tptp.remove_cpq (tptp.triple @t99 @t96 @t98) @t93)))) % 0.46/0.67 (define @t101 () (not (tptp.strictly_less_than @t93 @t92))) % 0.46/0.67 (define @t102 () (not (tptp.pair_in_list @t96 @t93 @t92))) % 0.46/0.67 (define @t103 () (not @t84)) % 0.46/0.67 (define @t104 () (not @t37)) % 0.46/0.67 (define @t105 () (not @t85)) % 0.46/0.67 (define @t106 () (or @t105 @t104 @t103 @t83)) % 0.46/0.67 (define @t107 () (forall @t87 @t106)) % 0.46/0.67 (define @t108 () (not @t107)) % 0.46/0.67 (define @t109 () (or @t108 @t102 @t101 @t100 @t97)) % 0.46/0.67 (define @t110 () (@list @t2 @t99 @t98 @t93 @t92 @t95 @t94)) % 0.46/0.67 (define @t111 () (forall @t110 @t109)) % 0.46/0.67 (define @t112 () (@quantifiers_skolemize @t111 3)) % 0.46/0.68 (define @t113 () (@quantifiers_skolemize @t111 6)) % 0.46/0.68 (define @t114 () (@quantifiers_skolemize @t111 5)) % 0.46/0.68 (define @t115 () (tptp.pair @t114 @t113)) % 0.46/0.68 (define @t116 () (@quantifiers_skolemize @t111 0)) % 0.46/0.68 (define @t117 () (tptp.insert_slb @t116 @t115)) % 0.46/0.68 (define @t118 () (tptp.lookup_slb @t117 @t112)) % 0.46/0.68 (define @t119 () (not @t58)) % 0.46/0.68 (define @t120 () (@quantifiers_skolemize @t111 2)) % 0.46/0.68 (define @t121 () (@quantifiers_skolemize @t111 1)) % 0.46/0.68 (define @t122 () (@list @t121 @t117 @t120 @t112)) % 0.46/0.68 (define @t123 () (tptp.remove_slb @t117 @t112)) % 0.46/0.68 (define @t124 () (tptp.remove_pqp @t121 @t112)) % 0.46/0.68 (define @t125 () (or @t102 @t101 @t100 @t97)) % 0.46/0.68 (define @t126 () (or @t108 @t125)) % 0.46/0.68 (define @t127 () (forall @t110 @t126)) % 0.46/0.68 (define @t128 () (@list @t99 @t98 @t93 @t92 @t95 @t94)) % 0.46/0.68 (define @t129 () (forall @t128 @t126)) % 0.46/0.68 (define @t130 () (forall @t128 @t125)) % 0.46/0.68 (define @t131 () (or @t108 @t130)) % 0.46/0.68 (define @t132 () (not @t77)) % 0.46/0.68 (define @t133 () (not @t78)) % 0.46/0.68 (define @t134 () (not @t79)) % 0.46/0.68 (define @t135 () (or @t134 @t133 @t132 @t74)) % 0.46/0.68 (define @t136 () (forall @t81 @t135)) % 0.46/0.68 (define @t137 () (or @t134 @t133 @t132)) % 0.46/0.68 (define @t138 () (or @t105 @t104 @t103)) % 0.46/0.68 (define @t139 () (tptp.remove_cpq (tptp.triple @t121 @t117 @t120) @t112)) % 0.46/0.68 (define @t140 () (tptp.ok @t139)) % 0.46/0.68 (define @t141 () (@quantifiers_skolemize @t111 4)) % 0.46/0.68 (define @t142 () (tptp.pair_in_list @t123 @t112 @t141)) % 0.46/0.68 (define @t143 () (not @t140)) % 0.46/0.68 (define @t144 () (tptp.strictly_less_than @t112 @t141)) % 0.46/0.68 (define @t145 () (not @t144)) % 0.46/0.68 (define @t146 () (tptp.pair_in_list @t117 @t112 @t141)) % 0.46/0.68 (define @t147 () (not @t146)) % 0.46/0.68 (define @t148 () (forall @t87 (or (not (tptp.pair_in_list @t116 @t13 @t18)) @t104 (not (tptp.ok (tptp.remove_cpq (tptp.triple @t3 @t116 @t1) @t13))) (tptp.pair_in_list (tptp.remove_slb @t116 @t13) @t13 @t18)))) % 0.46/0.68 (define @t149 () (not @t148)) % 0.46/0.68 (define @t150 () (or @t149 @t147 @t145 @t143 @t142)) % 0.46/0.68 (define @t151 () (@list true)) % 0.46/0.68 (define @t152 () (@list @t150)) % 0.46/0.68 (define @t153 () (tptp.triple @t124 @t123 tptp.bad)) % 0.46/0.68 (define @t154 () (tptp.ok @t153)) % 0.46/0.68 (define @t155 () (= @t139 @t153)) % 0.46/0.68 (define @t156 () (not @t155)) % 0.46/0.68 (define @t157 () (not @t154)) % 0.46/0.68 (define @t158 () (= false true)) % 0.46/0.68 (define @t159 () (@list false true)) % 0.46/0.68 (define @t160 () (= @t39 @t46)) % 0.46/0.68 (define @t161 () (tptp.triple @t121 @t117 tptp.bad)) % 0.46/0.68 (define @t162 () (tptp.contains_slb @t117 @t112)) % 0.46/0.68 (define @t163 () (or @t162 (= @t161 @t139))) % 0.46/0.68 (define @t164 () (forall @t16 (or @t38 @t160))) % 0.46/0.68 (define @t165 () (= @t139 @t161)) % 0.46/0.68 (define @t166 () (or @t162 @t165)) % 0.46/0.68 (define @t167 () (@list false)) % 0.46/0.68 (define @t168 () (tptp.ok @t161)) % 0.46/0.68 (define @t169 () (not @t165)) % 0.46/0.68 (define @t170 () (not @t168)) % 0.46/0.68 (define @t171 () (@list true false)) % 0.46/0.68 (define @t172 () (tptp.strictly_less_than @t112 @t118)) % 0.46/0.68 (define @t173 () (not @t172)) % 0.46/0.68 (define @t174 () (not @t162)) % 0.46/0.68 (define @t175 () (or @t174 @t173 @t155)) % 0.46/0.68 (define @t176 () (tptp.less_than @t118 @t112)) % 0.46/0.68 (define @t177 () (not @t176)) % 0.46/0.68 (define @t178 () (tptp.less_than @t112 @t118)) % 0.46/0.68 (define @t179 () (and @t178 @t177)) % 0.46/0.68 (define @t180 () (= @t172 @t179)) % 0.46/0.68 (define @t181 () (not @t179)) % 0.46/0.68 (define @t182 () (@list @t116 @t114 @t113)) % 0.46/0.68 (define @t183 () (= @t114 @t112)) % 0.46/0.68 (define @t184 () (and @t183 (= @t113 @t141))) % 0.46/0.68 (define @t185 () (tptp.pair_in_list @t116 @t112 @t141)) % 0.46/0.68 (define @t186 () (or @t185 @t184)) % 0.46/0.68 (define @t187 () (= @t146 @t186)) % 0.46/0.68 (define @t188 () (= @t141 @t113)) % 0.46/0.68 (define @t189 () (= @t112 @t114)) % 0.46/0.68 (define @t190 () (and @t189 @t188)) % 0.46/0.68 (define @t191 () (or @t185 @t190)) % 0.46/0.68 (define @t192 () (= @t146 @t191)) % 0.46/0.68 (define @t193 () (@list @t20)) % 0.46/0.68 (define @t194 () (@list false false)) % 0.46/0.68 (define @t195 () (not @t190)) % 0.46/0.68 (define @t196 () (tptp.contains_slb @t116 @t112)) % 0.46/0.68 (define @t197 () (or @t196 @t189)) % 0.46/0.68 (define @t198 () (not @t189)) % 0.46/0.68 (define @t199 () (or @t196 @t183)) % 0.46/0.68 (define @t200 () (= @t162 @t199)) % 0.46/0.68 (define @t201 () (@list @t116 @t114 @t112 @t113)) % 0.46/0.68 (define @t202 () (= @t162 @t197)) % 0.46/0.68 (define @t203 () (not @t202)) % 0.46/0.68 (define @t204 () (not @t197)) % 0.46/0.68 (define @t205 () (= @t113 (tptp.lookup_slb @t117 @t114))) % 0.46/0.68 (define @t206 () (and @t144 @t189 @t188 @t205)) % 0.46/0.68 (define @t207 () (not @t142)) % 0.46/0.68 (define @t208 () (= @t116 (tptp.remove_slb @t117 @t114))) % 0.46/0.68 (define @t209 () (not @t208)) % 0.46/0.68 (define @t210 () (not @t185)) % 0.46/0.68 (define @t211 () (not @t207)) % 0.46/0.68 (define @t212 () (and @t185 @t208 @t189 @t207)) % 0.46/0.68 (define @t213 () (forall @t7 (not @t40))) % 0.46/0.68 (define @t214 () (not @t150)) % 0.46/0.68 (define @t215 () (not @t111)) % 0.46/0.68 (define @t216 () (not @t54)) % 0.46/0.68 (define @t217 () (or @t47 @t216 @t52)) % 0.46/0.68 (define @t218 () (forall @t16 @t217)) % 0.46/0.68 (define @t219 () (tptp.triple @t124 @t123 @t120)) % 0.46/0.68 (define @t220 () (= @t139 @t219)) % 0.46/0.68 (define @t221 () (or @t174 @t177 @t220)) % 0.46/0.68 (define @t222 () (not @t12)) % 0.46/0.68 (define @t223 () (or @t11 @t222 @t23)) % 0.46/0.68 (define @t224 () (or @t11 @t222)) % 0.46/0.68 (define @t225 () (not @t25)) % 0.46/0.68 (define @t226 () (tptp.remove_slb @t116 @t112)) % 0.46/0.68 (define @t227 () (tptp.insert_slb @t226 @t115)) % 0.46/0.68 (define @t228 () (= @t123 @t227)) % 0.46/0.68 (define @t229 () (not @t196)) % 0.46/0.68 (define @t230 () (or @t183 @t229 @t228)) % 0.46/0.68 (define @t231 () (forall @t16 @t223)) % 0.46/0.68 (define @t232 () (or @t189 @t229 @t228)) % 0.46/0.68 (define @t233 () (or @t11 @t222 @t29)) % 0.46/0.68 (define @t234 () (tptp.lookup_slb @t116 @t112)) % 0.46/0.68 (define @t235 () (= @t118 @t234)) % 0.46/0.68 (define @t236 () (or @t183 @t229 @t235)) % 0.46/0.68 (define @t237 () (forall @t16 @t233)) % 0.46/0.68 (define @t238 () (or @t189 @t229 @t235)) % 0.46/0.68 (define @t239 () (tptp.pair_in_list @t227 @t112 @t141)) % 0.46/0.68 (define @t240 () (not @t239)) % 0.46/0.68 (define @t241 () (not @t228)) % 0.46/0.68 (define @t242 () (and @t207 @t228)) % 0.46/0.68 (define @t243 () (tptp.less_than @t234 @t112)) % 0.46/0.68 (define @t244 () (and @t176 @t235)) % 0.46/0.68 (define @t245 () (tptp.pair_in_list @t226 @t112 @t141)) % 0.46/0.68 (define @t246 () (or @t245 @t184)) % 0.46/0.68 (define @t247 () (= @t239 @t246)) % 0.46/0.68 (define @t248 () (or @t245 @t190)) % 0.46/0.68 (define @t249 () (= @t239 @t248)) % 0.46/0.68 (define @t250 () (tptp.triple @t124 @t226 @t120)) % 0.46/0.68 (define @t251 () (tptp.remove_cpq (tptp.triple @t121 @t116 @t120) @t112)) % 0.46/0.68 (define @t252 () (= @t251 @t250)) % 0.46/0.68 (define @t253 () (not @t243)) % 0.46/0.68 (define @t254 () (or @t229 @t253 @t252)) % 0.46/0.68 (define @t255 () (tptp.ok @t251)) % 0.46/0.68 (define @t256 () (not @t255)) % 0.46/0.68 (define @t257 () (or @t210 @t145 @t256 @t245)) % 0.46/0.68 (define @t258 () (tptp.ok @t250)) % 0.46/0.68 (define @t259 () (not @t258)) % 0.46/0.68 (define @t260 () (not @t252)) % 0.46/0.68 (define @t261 () (and @t256 @t252)) % 0.46/0.68 (define @t262 () (or @t258 (= @t120 tptp.bad))) % 0.46/0.68 (define @t263 () (forall @t5 (or @t43 @t42))) % 0.46/0.68 (define @t264 () (= tptp.bad @t120)) % 0.46/0.68 (define @t265 () (or @t258 @t264)) % 0.46/0.68 (define @t266 () (and @t228 @t264 @t220)) % 0.46/0.68 (define @t267 () (or @t176 @t178)) % 0.46/0.68 (define @t268 () (not @t178)) % 0.46/0.68 (assume @p1 (forall @t5 (=> (and @t4 (tptp.less_than @t3 @t1)) (tptp.less_than @t2 @t1)))) % 0.46/0.68 (assume @p2 (forall @t7 (or @t4 @t6))) % 0.46/0.68 (assume @p3 (forall @t8 (tptp.less_than @t2 @t2))) % 0.46/0.68 (assume @p4 (forall @t7 (= (tptp.strictly_less_than @t2 @t3) (and @t4 (not @t6))))) % 0.46/0.68 (assume @p5 (forall @t8 (tptp.less_than tptp.bottom @t2))) % 0.46/0.68 (assume @p6 (not (tptp.isnonempty_slb tptp.create_slb))) % 0.46/0.68 (assume @p7 (forall @t5 (tptp.isnonempty_slb @t10))) % 0.46/0.68 (assume @p8 (forall @t8 (not (tptp.contains_slb tptp.create_slb @t2)))) % 0.46/0.68 (assume @p9 @t17) % 0.46/0.68 (assume @p10 (forall @t7 (not (tptp.pair_in_list tptp.create_slb @t2 @t3)))) % 0.46/0.68 (assume @p11 @t20) % 0.46/0.68 (assume @p12 @t22) % 0.46/0.68 (assume @p13 @t26) % 0.46/0.68 (assume @p14 @t28) % 0.46/0.68 (assume @p15 @t30) % 0.46/0.68 (assume @p16 (forall @t8 (= (tptp.update_slb tptp.create_slb @t2) tptp.create_slb))) % 0.46/0.68 (assume @p17 (forall @t16 (=> (tptp.strictly_less_than @t13 @t1) (= @t32 (tptp.insert_slb @t31 @t9))))) % 0.46/0.68 (assume @p18 (forall @t16 (=> (tptp.less_than @t1 @t13) (= @t32 (tptp.insert_slb @t31 @t14))))) % 0.46/0.68 (assume @p19 (forall @t8 (tptp.succ_cpq @t2 @t2))) % 0.46/0.68 (assume @p20 (forall @t5 (=> @t33 (tptp.succ_cpq @t2 (tptp.insert_cpq @t3 @t1))))) % 0.46/0.68 (assume @p21 (forall @t5 (=> @t33 (tptp.succ_cpq @t2 (tptp.remove_cpq @t3 @t1))))) % 0.46/0.68 (assume @p22 (forall @t7 (=> @t33 (tptp.succ_cpq @t2 (tptp.findmin_cpq_eff @t3))))) % 0.46/0.68 (assume @p23 (forall @t7 (=> @t33 (tptp.succ_cpq @t2 (tptp.removemin_cpq_eff @t3))))) % 0.46/0.68 (assume @p24 (forall @t7 (tptp.check_cpq @t34))) % 0.46/0.68 (assume @p25 (forall @t19 (=> (tptp.less_than @t18 @t13) (= @t36 (tptp.check_cpq @t35))))) % 0.46/0.68 (assume @p26 (forall @t19 (=> @t37 (= @t36 false)))) % 0.46/0.68 (assume @p27 (forall @t16 (= (tptp.contains_cpq @t35 @t13) @t38))) % 0.46/0.68 (assume @p28 @t41) % 0.46/0.68 (assume @p29 @t45) % 0.46/0.68 (assume @p30 (forall @t16 (= (tptp.insert_cpq @t35 @t13) (tptp.triple (tptp.insert_pqp @t2 @t13) (tptp.insert_slb @t3 (tptp.pair @t13 tptp.bottom)) @t1)))) % 0.46/0.68 (assume @p31 @t49) % 0.46/0.68 (assume @p32 @t56) % 0.46/0.68 (assume @p33 @t60) % 0.46/0.68 (assume @p34 (forall @t7 (= (tptp.findmin_cpq_eff @t34) (tptp.triple @t2 tptp.create_slb tptp.bad)))) % 0.46/0.68 (assume @p35 (forall @t16 (=> (and @t66 (not @t65)) @t64))) % 0.46/0.68 (assume @p36 (forall @t16 (=> (and @t66 @t65 (tptp.strictly_less_than @t61 @t67)) @t64))) % 0.46/0.68 (assume @p37 (forall @t16 (=> (and @t66 @t65 (tptp.less_than @t67 @t61)) (= @t63 (tptp.triple @t2 @t62 @t1))))) % 0.46/0.68 (assume @p38 (forall @t7 (= (tptp.findmin_cpq_res @t34) tptp.bottom))) % 0.46/0.68 (assume @p39 (forall @t16 (=> @t66 (= (tptp.findmin_cpq_res @t35) @t61)))) % 0.46/0.68 (assume @p40 (forall @t8 (= (tptp.removemin_cpq_eff @t2) (tptp.remove_cpq (tptp.findmin_cpq_eff @t2) @t68)))) % 0.46/0.68 (assume @p41 (forall @t8 (= (tptp.removemin_cpq_res @t2) @t68))) % 0.46/0.68 (assume @p42 @t91) % 0.46/0.68 (assume @p43 true) % 0.46/0.68 (step @p44 :rule instantiate :premises (@p4) :args ((@list @t112 @t118))) % 0.46/0.68 (step @p45 :rule aci_norm :args ((= (or (or @t47 @t119) @t57) (or @t47 @t119 @t57)))) % 0.46/0.68 (step @p46 :rule refl :args (@t57)) % 0.46/0.68 (step @p47 :rule bool-and-de-morgan :args (@t38 @t58 true)) % 0.46/0.68 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or (not @t59) @t57))) % 0.46/0.68 (step @p49 :rule trans :premises (@p48 @p45)) % 0.46/0.68 (step @p50 :rule bool-impl-elim :args (@t59 @t57)) % 0.46/0.68 (step @p51 :rule trans :premises (@p50 @p49)) % 0.46/0.68 (step @p52 :rule cong :premises (@p51) :args (@t60)) % 0.46/0.68 (step @p53 :rule eq_resolve :premises (@p33 @p52)) % 0.46/0.68 (step @p54 :rule instantiate :premises (@p53) :args (@t122)) % 0.46/0.68 (step @p55 :rule bool-eq-false :args (@t40)) % 0.46/0.68 (step @p56 :rule cong :premises (@p55) :args (@t41)) % 0.46/0.68 (step @p57 :rule eq_resolve :premises (@p28 @p56)) % 0.46/0.68 (step @p58 :rule instantiate :premises (@p57) :args ((@list @t124 @t123))) % 0.46/0.68 (step @p59 :rule aci_norm :args ((= @t126 @t109))) % 0.46/0.68 (step @p60 :rule cong :premises (@p59) :args (@t127)) % 0.46/0.68 (step @p61 :rule quant-merge-prenex :args ((= (forall @t8 @t129) @t127))) % 0.46/0.68 (step @p62 :rule alpha_equiv :args (@t130 (@list @t99 @t98 @t93 @t92 @t95 @t94) (@list @t76 @t75 @t70 @t69 @t72 @t71))) % 0.46/0.68 (step @p63 :rule refl :args (@t108)) % 0.46/0.68 (step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t131)) % 0.46/0.68 (step @p65 :rule quant-miniscope-or :args ((= @t129 @t131))) % 0.46/0.68 (step @p66 :rule trans :premises (@p65 @p64)) % 0.46/0.68 (step @p67 :rule symm :premises (@p66)) % 0.46/0.68 (step @p68 :rule cong :premises (@p67) :args ((forall @t8 (or @t108 @t136)))) % 0.46/0.68 (step @p69 :rule trans :premises (@p68 @p61)) % 0.46/0.68 (step @p70 :rule trans :premises (@p69 @p60)) % 0.46/0.68 (step @p71 :rule bool-impl-elim :args (@t107 @t136)) % 0.46/0.68 (step @p72 :rule cong :premises (@p71) :args ((forall @t8 (=> @t107 @t136)))) % 0.46/0.68 (step @p73 :rule trans :premises (@p72 @p70)) % 0.46/0.68 (step @p74 :rule aci_norm :args ((= (or @t137 @t74) @t135))) % 0.46/0.68 (step @p75 :rule refl :args (@t74)) % 0.46/0.68 (step @p76 :rule aci_norm :args ((= (or @t134 (or @t133 @t132)) @t137))) % 0.46/0.68 (step @p77 :rule bool-and-de-morgan :args (@t78 @t77 true)) % 0.46/0.68 (step @p78 :rule refl :args (@t134)) % 0.46/0.68 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or @t134 (not (and @t78 @t77))))) % 0.46/0.68 (step @p80 :rule bool-and-de-morgan :args (@t79 @t78 (and @t77))) % 0.46/0.68 (step @p81 :rule trans :premises (@p80 @p79)) % 0.46/0.68 (step @p82 :rule trans :premises (@p81 @p76)) % 0.46/0.68 (step @p83 :rule nary_cong :premises (@p82 @p75) :args ((or (not @t80) @t74))) % 0.46/0.68 (step @p84 :rule trans :premises (@p83 @p74)) % 0.46/0.68 (step @p85 :rule bool-impl-elim :args (@t80 @t74)) % 0.46/0.68 (step @p86 :rule trans :premises (@p85 @p84)) % 0.46/0.68 (step @p87 :rule cong :premises (@p86) :args (@t82)) % 0.46/0.68 (step @p88 :rule aci_norm :args ((= (or @t138 @t83) @t106))) % 0.46/0.68 (step @p89 :rule refl :args (@t83)) % 0.46/0.68 (step @p90 :rule aci_norm :args ((= (or @t105 (or @t104 @t103)) @t138))) % 0.46/0.68 (step @p91 :rule bool-and-de-morgan :args (@t37 @t84 true)) % 0.46/0.68 (step @p92 :rule refl :args (@t105)) % 0.46/0.68 (step @p93 :rule nary_cong :premises (@p92 @p91) :args ((or @t105 (not (and @t37 @t84))))) % 0.46/0.68 (step @p94 :rule bool-and-de-morgan :args (@t85 @t37 (and @t84))) % 0.46/0.68 (step @p95 :rule trans :premises (@p94 @p93)) % 0.46/0.68 (step @p96 :rule trans :premises (@p95 @p90)) % 0.46/0.68 (step @p97 :rule nary_cong :premises (@p96 @p89) :args ((or (not @t86) @t83))) % 0.46/0.68 (step @p98 :rule trans :premises (@p97 @p88)) % 0.46/0.68 (step @p99 :rule bool-impl-elim :args (@t86 @t83)) % 0.46/0.68 (step @p100 :rule trans :premises (@p99 @p98)) % 0.46/0.68 (step @p101 :rule cong :premises (@p100) :args (@t88)) % 0.46/0.68 (step @p102 :rule cong :premises (@p101 @p87) :args (@t89)) % 0.46/0.68 (step @p103 :rule cong :premises (@p102) :args (@t90)) % 0.46/0.68 (step @p104 :rule trans :premises (@p103 @p73)) % 0.46/0.68 (step @p105 :rule cong :premises (@p104) :args (@t91)) % 0.46/0.68 (step @p106 :rule eq_resolve :premises (@p42 @p105)) % 0.46/0.68 (step @p107 :rule skolemize :premises (@p106)) % 0.46/0.68 (step @p108 :rule bool-double-not-elim :args (@t140)) % 0.46/0.68 (step @p109 :rule refl :args (@t150)) % 0.46/0.68 (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((or @t150 (not @t143)))) % 0.46/0.68 (step @p111 :rule cnf_or_neg :args (@t150 3)) % 0.46/0.68 (step @p112 :rule eq_resolve :premises (@p111 @p110)) % 0.46/0.68 (step @p113 :rule reordering :premises (@p112) :args ((or @t140 @t150))) % 0.46/0.68 (step @p114 :rule chain_m_resolution :premises (@p113 @p107) :args (@t140 @t151 @t152)) % 0.46/0.68 (step @p115 :rule bool-double-not-elim :args (@t154)) % 0.46/0.68 (step @p116 :rule refl :args (@t156)) % 0.46/0.68 (step @p117 :rule refl :args (@t143)) % 0.46/0.68 (step @p118 :rule nary_cong :premises (@p117 @p116 @p115) :args ((or @t143 @t156 (not @t157)))) % 0.46/0.68 (assume-push @p571 @t140) % 0.46/0.68 (assume-push @p572 @t155) % 0.46/0.68 (assume-push @p573 @t157) % 0.46/0.68 (step @p122 :rule evaluate :args (@t158)) % 0.46/0.68 (step @p123 :rule true_intro :premises (@p114)) % 0.46/0.68 (step @p124 :rule symm :premises (@p572)) % 0.46/0.68 (step @p125 :rule cong :premises (@p124) :args (@t154)) % 0.46/0.68 (step @p126 :rule false_intro :premises (@p58)) % 0.46/0.68 (step @p127 :rule symm :premises (@p126)) % 0.46/0.68 (step @p128 :rule trans :premises (@p127 @p125 @p123)) % 0.46/0.68 (step @p129 false :rule eq_resolve :premises (@p128 @p122)) % 0.46/0.68 (step-pop @p574 :rule scope :premises (@p129)) % 0.46/0.68 (step-pop @p575 :rule scope :premises (@p574)) % 0.46/0.68 (step-pop @p576 :rule scope :premises (@p575)) % 0.46/0.68 (step @p130 :rule process_scope :premises (@p576) :args (false)) % 0.46/0.68 (step @p134 :rule not_and :premises (@p130)) % 0.46/0.68 (step @p135 :rule eq_resolve :premises (@p134 @p118)) % 0.46/0.68 (step @p136 :rule chain_m_resolution :premises (@p135 @p114 @p58) :args (@t156 @t159 (@list @t140 @t154))) % 0.46/0.68 (step @p137 :rule refl :args (@t160)) % 0.46/0.68 (step @p138 :rule bool-double-not-elim :args (@t38)) % 0.46/0.68 (step @p139 :rule nary_cong :premises (@p138 @p137) :args ((or (not @t47) @t160))) % 0.46/0.68 (step @p140 :rule bool-impl-elim :args (@t47 @t160)) % 0.46/0.68 (step @p141 :rule trans :premises (@p140 @p139)) % 0.46/0.68 (step @p142 :rule cong :premises (@p141) :args ((forall @t16 (=> @t47 @t160)))) % 0.46/0.68 (step @p143 :rule eq-symm :args (@t46 @t39)) % 0.46/0.68 (step @p144 :rule refl :args (@t47)) % 0.46/0.68 (step @p145 :rule cong :premises (@p144 @p143) :args (@t48)) % 0.46/0.68 (step @p146 :rule cong :premises (@p145) :args (@t49)) % 0.46/0.68 (step @p147 :rule trans :premises (@p146 @p142)) % 0.46/0.68 (step @p148 :rule eq_resolve :premises (@p31 @p147)) % 0.46/0.68 (step @p149 :rule eq-symm :args (@t161 @t139)) % 0.46/0.68 (step @p150 :rule refl :args (@t162)) % 0.46/0.68 (step @p151 :rule nary_cong :premises (@p150 @p149) :args (@t163)) % 0.46/0.68 (step @p152 :rule refl :args (@t164)) % 0.46/0.68 (step @p153 :rule cong :premises (@p152 @p151) :args ((=> @t164 @t163))) % 0.46/0.68 (assume-push @p577 @t164) % 0.46/0.68 (step @p155 :rule instantiate :premises (@p148) :args (@t122)) % 0.46/0.68 (step-pop @p578 :rule scope :premises (@p155)) % 0.46/0.68 (step @p156 :rule process_scope :premises (@p578) :args (@t163)) % 0.46/0.68 (step @p158 :rule eq_resolve :premises (@p156 @p153)) % 0.46/0.68 (step @p159 :rule implies_elim :premises (@p158)) % 0.46/0.68 (step @p160 :rule chain_m_resolution :premises (@p159 @p148) :args (@t166 @t167 (@list @t164))) % 0.46/0.68 (step @p161 :rule instantiate :premises (@p57) :args ((@list @t121 @t117))) % 0.46/0.68 (step @p162 :rule bool-double-not-elim :args (@t168)) % 0.46/0.68 (step @p163 :rule refl :args (@t169)) % 0.46/0.68 (step 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% 0.46/0.68 (step @p454 :rule refl :args (@t245)) % 0.46/0.68 (step @p455 :rule nary_cong :premises (@p454 @p196) :args (@t246)) % 0.46/0.68 (step @p456 :rule refl :args (@t239)) % 0.46/0.68 (step @p457 :rule cong :premises (@p456 @p455) :args (@t247)) % 0.46/0.68 (step @p458 :rule cong :premises (@p201 @p457) :args ((=> @t20 @t247))) % 0.46/0.68 (assume-push @p647 @t20) % 0.46/0.68 (step @p460 :rule instantiate :premises (@p11) :args ((@list @t226 @t114 @t112 @t113 @t141))) % 0.46/0.68 (step-pop @p648 :rule scope :premises (@p460)) % 0.46/0.68 (step @p461 :rule process_scope :premises (@p648) :args (@t247)) % 0.46/0.68 (step @p463 :rule eq_resolve :premises (@p461 @p458)) % 0.46/0.68 (step @p464 :rule implies_elim :premises (@p463)) % 0.46/0.68 (step @p465 :rule chain_m_resolution :premises (@p464 @p11) :args (@t249 @t167 @t193)) % 0.46/0.68 (step @p466 :rule cnf_equiv_pos2 :args (@t249)) % 0.46/0.68 (step @p467 :rule reordering :premises (@p466) :args ((or @t239 (not @t248) (not @t249)))) % 0.46/0.68 (step @p468 :rule instantiate :premises (@p350) :args ((@list @t121 @t116 @t120 @t112))) % 0.46/0.68 (step @p469 :rule cnf_or_pos :args (@t254)) % 0.46/0.68 (step @p470 :rule reordering :premises (@p469) :args ((or @t229 @t253 @t252 (not @t254)))) % 0.46/0.68 (step @p471 :rule cnf_or_neg :args (@t248 0)) % 0.46/0.68 (step @p472 :rule bool-double-not-elim :args (@t148)) % 0.46/0.68 (step @p473 :rule nary_cong :premises (@p109 @p472) :args ((or @t150 (not @t149)))) % 0.46/0.68 (step @p474 :rule cnf_or_neg :args (@t150 0)) % 0.46/0.68 (step @p475 :rule eq_resolve :premises (@p474 @p473)) % 0.46/0.68 (step @p476 :rule reordering :premises (@p475) :args ((or @t148 @t150))) % 0.46/0.68 (step @p477 :rule chain_m_resolution :premises (@p476 @p107) :args (@t148 @t151 @t152)) % 0.46/0.68 (step @p478 :rule instantiate :premises (@p477) :args ((@list @t121 @t120 @t112 @t141))) % 0.46/0.68 (step @p479 :rule cnf_or_pos :args (@t257)) % 0.46/0.68 (step @p480 :rule reordering 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0.46/0.68 (step @p497 :rule and_intro :premises (@p649 @p650)) % 0.46/0.68 (step @p498 :rule modus_ponens :premises (@p497 @p494)) % 0.46/0.68 (step-pop @p655 :rule scope :premises (@p498)) % 0.46/0.68 (step-pop @p656 :rule scope :premises (@p655)) % 0.46/0.68 (step @p499 :rule process_scope :premises (@p656) :args (@t259)) % 0.46/0.68 (step @p502 :rule implies_elim :premises (@p499)) % 0.46/0.68 (step @p503 :rule cnf_and_neg :args (@t261)) % 0.46/0.68 (step @p504 :rule resolution :premises (@p503 @p502) :args (true @t261)) % 0.46/0.68 (step @p505 :rule eq_resolve :premises (@p504 @p484)) % 0.46/0.68 (step @p506 :rule refl :args (@t42)) % 0.46/0.68 (step @p507 :rule bool-double-not-elim :args (@t43)) % 0.46/0.68 (step @p508 :rule nary_cong :premises (@p507 @p506) :args ((or (not @t44) @t42))) % 0.46/0.68 (step @p509 :rule bool-impl-elim :args (@t44 @t42)) % 0.46/0.68 (step @p510 :rule trans :premises (@p509 @p508)) % 0.46/0.68 (step @p511 :rule cong :premises (@p510) :args (@t45)) % 0.46/0.68 (step @p512 :rule eq_resolve :premises (@p29 @p511)) % 0.46/0.68 (step @p513 :rule eq-symm :args (@t120 tptp.bad)) % 0.46/0.68 (step @p514 :rule refl :args (@t258)) % 0.46/0.68 (step @p515 :rule nary_cong :premises (@p514 @p513) :args (@t262)) % 0.46/0.68 (step @p516 :rule refl :args (@t263)) % 0.46/0.68 (step @p517 :rule cong :premises (@p516 @p515) :args ((=> @t263 @t262))) % 0.46/0.68 (assume-push @p657 @t263) % 0.46/0.68 (step @p519 :rule instantiate :premises (@p512) :args ((@list @t124 @t226 @t120))) % 0.46/0.68 (step-pop @p658 :rule scope :premises (@p519)) % 0.46/0.68 (step @p520 :rule process_scope :premises (@p658) :args (@t262)) % 0.46/0.68 (step @p522 :rule eq_resolve :premises (@p520 @p517)) % 0.46/0.68 (step @p523 :rule implies_elim :premises (@p522)) % 0.46/0.68 (step @p524 :rule chain_m_resolution :premises (@p523 @p512) :args (@t265 @t167 (@list @t263))) % 0.46/0.68 (step @p525 :rule cnf_or_pos :args (@t265)) % 0.46/0.68 (step @p526 :rule reordering :premises (@p525) :args ((or @t264 @t258 (not @t265)))) % 0.46/0.68 (assume-push @p659 @t228) % 0.46/0.68 (assume-push @p660 @t264) % 0.46/0.68 (assume-push @p661 @t220) % 0.46/0.68 (assume-push @p662 @t228) % 0.46/0.68 (assume-push @p663 @t264) % 0.46/0.68 (assume-push @p664 @t220) % 0.46/0.68 (step @p533 :rule refl :args (tptp.bad)) % 0.46/0.68 (step @p534 :rule symm :premises (@p659)) % 0.46/0.68 (step @p535 :rule refl :args (@t124)) % 0.46/0.68 (step @p536 :rule cong :premises (@p535 @p534 @p533) :args ((tptp.triple @t124 @t227 tptp.bad))) % 0.46/0.68 (step @p537 :rule symm :premises (@p660)) % 0.46/0.68 (step @p538 :rule refl :args (@t227)) % 0.46/0.68 (step @p539 :rule cong :premises (@p535 @p538 @p537) :args ((tptp.triple @t124 @t227 @t120))) % 0.46/0.68 (step @p540 :rule refl :args (@t120)) % 0.46/0.68 (step @p541 :rule cong :premises (@p535 @p659 @p540) :args (@t219)) % 0.46/0.68 (step @p542 :rule trans :premises (@p661 @p541 @p539 @p536)) % 0.46/0.68 (step-pop @p665 :rule scope :premises (@p542)) % 0.46/0.68 (step-pop @p666 :rule scope :premises (@p665)) % 0.46/0.68 (step-pop @p667 :rule scope :premises (@p666)) % 0.46/0.68 (step @p543 :rule process_scope :premises (@p667) :args (@t155)) % 0.46/0.68 (step @p547 :rule and_intro :premises (@p659 @p660 @p661)) % 0.46/0.68 (step @p548 :rule modus_ponens :premises (@p547 @p543)) % 0.46/0.68 (step-pop @p668 :rule scope :premises (@p548)) % 0.46/0.68 (step-pop @p669 :rule scope :premises (@p668)) % 0.46/0.68 (step-pop @p670 :rule scope :premises (@p669)) % 0.46/0.68 (step @p549 :rule process_scope :premises (@p670) :args (@t155)) % 0.46/0.68 (step @p553 :rule implies_elim :premises (@p549)) % 0.46/0.68 (step @p554 :rule cnf_and_neg :args (@t266)) % 0.46/0.68 (step @p555 :rule resolution :premises (@p554 @p553) :args (true @t266)) % 0.46/0.68 (step @p556 :rule reordering :premises (@p555) :args ((or @t155 @t241 (not @t264) (not @t220)))) % 0.46/0.68 (step @p557 :rule chain_m_resolution :premises (@p556 @p136 @p526 @p524 @p505 @p480 @p478 @p287 @p244 @p471 @p470 @p468 @p467 @p465 @p453 @p433 @p289 @p410 @p408 @p389 @p387 @p362 @p360 @p357 @p355 @p350 @p182 @p159 @p148 @p179 @p113 @p341 @p106 @p333 @p57) :args ((or @t189 @t177) (@list true false false true true false false false true false false true false false true true false false false false false false false false false false false false true false true true true false) (@list @t155 @t264 @t265 @t258 @t255 @t257 @t185 @t144 @t245 @t252 @t254 @t248 @t249 @t243 @t239 @t142 @t235 @t238 @t228 @t232 @t196 @t197 @t220 @t221 @t218 @t162 @t166 @t164 @t165 @t140 @t150 @t111 @t168 @t213))) % 0.46/0.68 (step @p558 :rule chain_m_resolution :premises (@p557 @p329) :args (@t177 @t151 (@list @t189))) % 0.46/0.68 (step @p559 :rule instantiate :premises (@p2) :args ((@list @t118 @t112))) % 0.46/0.68 (step @p560 :rule cnf_or_pos :args (@t267)) % 0.46/0.68 (step @p561 :rule reordering :premises (@p560) :args ((or @t176 @t178 (not @t267)))) % 0.46/0.68 (step @p562 :rule chain_m_resolution :premises (@p561 @p558 @p559) :args (@t178 @t171 (@list @t176 @t267))) % 0.46/0.68 (step @p563 :rule bool-double-not-elim :args (@t176)) % 0.46/0.68 (step @p564 :rule refl :args (@t268)) % 0.46/0.68 (step @p565 :rule refl :args (@t179)) % 0.46/0.68 (step @p566 :rule nary_cong :premises (@p565 @p564 @p563) :args ((or @t179 @t268 (not @t177)))) % 0.46/0.68 (step @p567 :rule cnf_and_neg :args (@t179)) % 0.46/0.68 (step @p568 :rule eq_resolve :premises (@p567 @p566)) % 0.46/0.68 (step @p569 :rule reordering :premises (@p568) :args ((or @t176 @t179 @t268))) % 0.46/0.68 (step @p570 false :rule chain_m_resolution :premises (@p569 @p562 @p558 @p189) :args (false (@list false true true) (@list @t178 @t176 @t179))) % 0.46/0.68 ) % 0.46/0.68 % SZS output end Proof % 0.46/0.68 % cvc5 exiting %------------------------------------------------------------------------------