%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU342+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 : n019.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 08:51:27 AM UTC 2026 % Result : Theorem 0.46s 0.63s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU342+1 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n019.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:59:19 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.63 % SZS status Theorem % 0.46/0.63 % SZS output start Proof % 0.46/0.63 ( % 0.46/0.63 (declare-sort $$unsorted 0) % 0.46/0.63 (declare-const tptp.below (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.empty_set $$unsorted) % 0.46/0.63 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.ordered_pair_as_product_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.relation_of_lattice (-> $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.a_1_0_filter_1 (-> $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.join_absorbing (-> $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.join_associative (-> $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.lattice (-> $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.below_refl (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.meet_associative (-> $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (define @t1 () (@var "A" $$unsorted)) % 0.46/0.63 (define @t2 () (@var "B" $$unsorted)) % 0.46/0.63 (define @t3 () (tptp.in @t1 @t2)) % 0.46/0.63 (define @t4 () (@list @t1 @t2)) % 0.46/0.63 (define @t5 () (tptp.join_absorbing @t1)) % 0.46/0.63 (define @t6 () (tptp.meet_absorbing @t1)) % 0.46/0.63 (define @t7 () (tptp.meet_commutative @t1)) % 0.46/0.63 (define @t8 () (tptp.empty_carrier @t1)) % 0.46/0.63 (define @t9 () (not @t8)) % 0.46/0.63 (define @t10 () (and @t9 (tptp.join_commutative @t1) (tptp.join_associative @t1) @t7 (tptp.meet_associative @t1) @t6 @t5)) % 0.46/0.63 (define @t11 () (tptp.lattice @t1)) % 0.46/0.63 (define @t12 () (and @t9 @t11)) % 0.46/0.63 (define @t13 () (tptp.latt_str @t1)) % 0.46/0.63 (define @t14 () (@list @t1)) % 0.46/0.63 (define @t15 () (tptp.unordered_pair @t1 @t2)) % 0.46/0.63 (define @t16 () (tptp.singleton @t1)) % 0.46/0.63 (define @t17 () (tptp.ordered_pair @t1 @t2)) % 0.46/0.63 (define @t18 () (tptp.relation_of_lattice @t1)) % 0.46/0.63 (define @t19 () (= @t18 (tptp.a_1_0_filter_1 @t1))) % 0.46/0.63 (define @t20 () (and @t9 @t11 @t13)) % 0.46/0.63 (define @t21 () (forall @t14 (=> @t20 @t19))) % 0.46/0.63 (define @t22 () (tptp.cartesian_product2 @t1 @t2)) % 0.46/0.63 (define @t23 () (@var "D" $$unsorted)) % 0.46/0.63 (define @t24 () (@var "C" $$unsorted)) % 0.46/0.63 (define @t25 () (tptp.ordered_pair_as_product_element @t1 @t2 @t24 @t23)) % 0.46/0.63 (define @t26 () (tptp.element @t23 @t2)) % 0.46/0.63 (define @t27 () (tptp.element @t24 @t1)) % 0.46/0.63 (define @t28 () (tptp.empty @t2)) % 0.46/0.63 (define @t29 () (not @t28)) % 0.46/0.63 (define @t30 () (tptp.empty @t1)) % 0.46/0.63 (define @t31 () (not @t30)) % 0.46/0.63 (define @t32 () (and @t31 @t29 @t27 @t26)) % 0.46/0.63 (define @t33 () (@list @t1 @t2 @t24 @t23)) % 0.46/0.63 (define @t34 () (tptp.one_sorted_str @t1)) % 0.46/0.63 (define @t35 () (tptp.meet_semilatt_str @t1)) % 0.46/0.63 (define @t36 () (forall @t14 (=> @t35 @t34))) % 0.46/0.63 (define @t37 () (tptp.join_semilatt_str @t1)) % 0.46/0.63 (define @t38 () (and @t35 @t37)) % 0.46/0.63 (define @t39 () (forall @t14 (=> @t13 @t38))) % 0.46/0.63 (define @t40 () (@list @t2)) % 0.46/0.63 (define @t41 () (tptp.the_carrier @t1)) % 0.46/0.63 (define @t42 () (not (tptp.empty @t41))) % 0.46/0.63 (define @t43 () (and @t9 @t34)) % 0.46/0.63 (define @t44 () (forall @t14 (=> @t43 @t42))) % 0.46/0.63 (define @t45 () (tptp.below_refl @t2 @t24 @t23)) % 0.46/0.63 (define @t46 () (tptp.the_carrier @t2)) % 0.46/0.63 (define @t47 () (= @t1 (tptp.ordered_pair_as_product_element @t46 @t46 @t24 @t23))) % 0.46/0.63 (define @t48 () (tptp.element @t23 @t46)) % 0.46/0.63 (define @t49 () (tptp.element @t24 @t46)) % 0.46/0.63 (define @t50 () (and @t49 @t48 @t47 @t45)) % 0.46/0.63 (define @t51 () (@list @t24 @t23)) % 0.46/0.63 (define @t52 () (exists @t51 @t50)) % 0.46/0.63 (define @t53 () (tptp.in @t1 (tptp.a_1_0_filter_1 @t2))) % 0.46/0.63 (define @t54 () (= @t53 @t52)) % 0.46/0.63 (define @t55 () (tptp.latt_str @t2)) % 0.46/0.63 (define @t56 () (tptp.lattice @t2)) % 0.46/0.63 (define @t57 () (tptp.empty_carrier @t2)) % 0.46/0.63 (define @t58 () (not @t57)) % 0.46/0.63 (define @t59 () (and @t58 @t56 @t55)) % 0.46/0.63 (define @t60 () (=> @t59 @t54)) % 0.46/0.63 (define @t61 () (forall @t4 @t60)) % 0.46/0.63 (define @t62 () (tptp.ordered_pair @t24 @t23)) % 0.46/0.63 (define @t63 () (= @t25 @t62)) % 0.46/0.63 (define @t64 () (forall @t33 (=> @t32 @t63))) % 0.46/0.63 (define @t65 () (tptp.below_refl @t1 @t2 @t24)) % 0.46/0.63 (define @t66 () (tptp.element @t24 @t41)) % 0.46/0.63 (define @t67 () (tptp.element @t2 @t41)) % 0.46/0.63 (define @t68 () (and @t9 @t7 @t6 @t5 @t13 @t67 @t66)) % 0.46/0.63 (define @t69 () (@list @t1 @t2 @t24)) % 0.46/0.63 (define @t70 () (tptp.element @t1 @t2)) % 0.46/0.63 (define @t71 () (= @t1 @t2)) % 0.46/0.63 (define @t72 () (@list @t24)) % 0.46/0.63 (define @t73 () (tptp.in (tptp.ordered_pair_as_product_element @t41 @t41 @t2 @t24) @t18)) % 0.46/0.63 (define @t74 () (=> @t66 (= @t73 @t65))) % 0.46/0.63 (define @t75 () (forall @t72 @t74)) % 0.46/0.63 (define @t76 () (=> @t67 @t75)) % 0.46/0.63 (define @t77 () (forall @t40 @t76)) % 0.46/0.63 (define @t78 () (=> @t20 @t77)) % 0.46/0.63 (define @t79 () (forall @t14 @t78)) % 0.46/0.63 (define @t80 () (not @t79)) % 0.46/0.63 (define @t81 () (and (= @t1 @t24) (= @t2 @t23))) % 0.46/0.63 (define @t82 () (= @t17 @t62)) % 0.46/0.63 (define @t83 () (forall @t33 (=> @t82 @t81))) % 0.46/0.63 (define @t84 () (not @t45)) % 0.46/0.63 (define @t85 () (not @t47)) % 0.46/0.63 (define @t86 () (not @t48)) % 0.46/0.63 (define @t87 () (not @t49)) % 0.46/0.63 (define @t88 () (or @t87 @t86 @t85 @t84)) % 0.46/0.63 (define @t89 () (= @t53 (not (forall @t51 @t88)))) % 0.46/0.63 (define @t90 () (not @t55)) % 0.46/0.63 (define @t91 () (not @t56)) % 0.46/0.63 (define @t92 () (not @t58)) % 0.46/0.63 (define @t93 () (or @t92 @t91 @t90)) % 0.46/0.63 (define @t94 () (forall @t51 (not @t50))) % 0.46/0.63 (define @t95 () (not @t94)) % 0.46/0.63 (define @t96 () (@var "BOUND_VARIABLE_7782" $$unsorted)) % 0.46/0.63 (define @t97 () (@var "BOUND_VARIABLE_7780" $$unsorted)) % 0.46/0.63 (define @t98 () (= (tptp.below_refl @t1 @t97 @t96) (tptp.in (tptp.ordered_pair_as_product_element @t41 @t41 @t97 @t96) @t18))) % 0.46/0.63 (define @t99 () (not (tptp.element @t96 @t41))) % 0.46/0.63 (define @t100 () (not (tptp.element @t97 @t41))) % 0.46/0.63 (define @t101 () (not @t13)) % 0.46/0.63 (define @t102 () (not @t11)) % 0.46/0.63 (define @t103 () (or @t8 @t102 @t101 @t100 @t99 @t98)) % 0.46/0.63 (define @t104 () (@list @t1 @t97 @t96)) % 0.46/0.63 (define @t105 () (forall @t104 @t103)) % 0.46/0.63 (define @t106 () (@quantifiers_skolemize @t105 0)) % 0.46/0.63 (define @t107 () (@quantifiers_skolemize @t105 2)) % 0.46/0.63 (define @t108 () (@quantifiers_skolemize @t105 1)) % 0.46/0.63 (define @t109 () (tptp.the_carrier @t106)) % 0.46/0.63 (define @t110 () (tptp.ordered_pair_as_product_element @t109 @t109 @t108 @t107)) % 0.46/0.63 (define @t111 () (or @t100 @t99 @t98)) % 0.46/0.63 (define @t112 () (or @t8 @t102 @t101 @t111)) % 0.46/0.63 (define @t113 () (forall @t104 @t112)) % 0.46/0.63 (define @t114 () (@list @t97 @t96)) % 0.46/0.63 (define @t115 () (forall @t114 @t112)) % 0.46/0.63 (define @t116 () (forall @t114 @t111)) % 0.46/0.63 (define @t117 () (@var "BOUND_VARIABLE_7762" $$unsorted)) % 0.46/0.63 (define @t118 () (or @t8 @t102 @t101 @t116)) % 0.46/0.63 (define @t119 () (= (tptp.below_refl @t1 @t2 @t117) (tptp.in (tptp.ordered_pair_as_product_element @t41 @t41 @t2 @t117) @t18))) % 0.46/0.63 (define @t120 () (not (tptp.element @t117 @t41))) % 0.46/0.63 (define @t121 () (not @t67)) % 0.46/0.63 (define @t122 () (or @t121 @t120 @t119)) % 0.46/0.63 (define @t123 () (@list @t2 @t117)) % 0.46/0.63 (define @t124 () (forall @t123 @t122)) % 0.46/0.63 (define @t125 () (or @t8 @t102 @t101 @t124)) % 0.46/0.63 (define @t126 () (or @t8 @t102 @t101)) % 0.46/0.63 (define @t127 () (not @t9)) % 0.46/0.63 (define @t128 () (or @t127 @t102 @t101)) % 0.46/0.63 (define @t129 () (not @t20)) % 0.46/0.63 (define @t130 () (or @t120 @t119)) % 0.46/0.63 (define @t131 () (or @t121 @t130)) % 0.46/0.63 (define @t132 () (forall @t123 @t131)) % 0.46/0.63 (define @t133 () (@list @t117)) % 0.46/0.63 (define @t134 () (forall @t133 @t131)) % 0.46/0.63 (define @t135 () (forall @t133 @t130)) % 0.46/0.63 (define @t136 () (or @t121 @t135)) % 0.46/0.63 (define @t137 () (= @t65 @t73)) % 0.46/0.63 (define @t138 () (forall @t72 (or (not @t66) @t137))) % 0.46/0.63 (define @t139 () (tptp.latt_str @t106)) % 0.46/0.63 (define @t140 () (tptp.relation_of_lattice @t106)) % 0.46/0.63 (define @t141 () (tptp.in @t110 @t140)) % 0.46/0.63 (define @t142 () (tptp.below_refl @t106 @t108 @t107)) % 0.46/0.63 (define @t143 () (= @t142 @t141)) % 0.46/0.63 (define @t144 () (tptp.element @t107 @t109)) % 0.46/0.63 (define @t145 () (not @t144)) % 0.46/0.63 (define @t146 () (tptp.element @t108 @t109)) % 0.46/0.63 (define @t147 () (not @t146)) % 0.46/0.63 (define @t148 () (not @t139)) % 0.46/0.63 (define @t149 () (tptp.lattice @t106)) % 0.46/0.63 (define @t150 () (not @t149)) % 0.46/0.63 (define @t151 () (tptp.empty_carrier @t106)) % 0.46/0.63 (define @t152 () (or @t151 @t150 @t148 @t147 @t145 @t143)) % 0.46/0.63 (define @t153 () (@list true)) % 0.46/0.63 (define @t154 () (@list @t152)) % 0.46/0.63 (define @t155 () (forall @t51 (or (not (tptp.element @t24 @t109)) (not (tptp.element @t23 @t109)) (not (= @t110 (tptp.ordered_pair_as_product_element @t109 @t109 @t24 @t23))) (not (tptp.below_refl @t106 @t24 @t23))))) % 0.46/0.63 (define @t156 () (not @t155)) % 0.46/0.63 (define @t157 () (tptp.a_1_0_filter_1 @t106)) % 0.46/0.63 (define @t158 () (tptp.in @t110 @t157)) % 0.46/0.63 (define @t159 () (= @t158 @t156)) % 0.46/0.63 (define @t160 () (or @t151 @t150 @t148 @t159)) % 0.46/0.63 (define @t161 () (@list true false false false)) % 0.46/0.63 (define @t162 () (@list @t106)) % 0.46/0.63 (define @t163 () (= @t140 @t157)) % 0.46/0.63 (define @t164 () (or @t151 @t150 @t148 @t163)) % 0.46/0.63 (define @t165 () (and @t141 @t163)) % 0.46/0.63 (define @t166 () (not @t159)) % 0.46/0.63 (define @t167 () (not @t158)) % 0.46/0.63 (define @t168 () (@quantifiers_skolemize @t155 1)) % 0.46/0.63 (define @t169 () (@quantifiers_skolemize @t155 0)) % 0.46/0.63 (define @t170 () (tptp.below_refl @t106 @t169 @t168)) % 0.46/0.63 (define @t171 () (not @t170)) % 0.46/0.63 (define @t172 () (tptp.ordered_pair_as_product_element @t109 @t109 @t169 @t168)) % 0.46/0.63 (define @t173 () (= @t110 @t172)) % 0.46/0.63 (define @t174 () (not @t173)) % 0.46/0.63 (define @t175 () (tptp.element @t168 @t109)) % 0.46/0.63 (define @t176 () (not @t175)) % 0.46/0.63 (define @t177 () (tptp.element @t169 @t109)) % 0.46/0.63 (define @t178 () (not @t177)) % 0.46/0.63 (define @t179 () (or @t178 @t176 @t174 @t171)) % 0.46/0.63 (define @t180 () (not @t179)) % 0.46/0.63 (define @t181 () (not @t156)) % 0.46/0.63 (define @t182 () (not @t34)) % 0.46/0.63 (define @t183 () (tptp.meet_semilatt_str @t106)) % 0.46/0.63 (define @t184 () (and @t183 (tptp.join_semilatt_str @t106))) % 0.46/0.63 (define @t185 () (or @t148 @t184)) % 0.46/0.63 (define @t186 () (@list false false)) % 0.46/0.63 (define @t187 () (tptp.one_sorted_str @t106)) % 0.46/0.63 (define @t188 () (not @t183)) % 0.46/0.63 (define @t189 () (or @t188 @t187)) % 0.46/0.63 (define @t190 () (tptp.empty @t109)) % 0.46/0.63 (define @t191 () (not @t190)) % 0.46/0.63 (define @t192 () (not @t187)) % 0.46/0.63 (define @t193 () (or @t151 @t192 @t191)) % 0.46/0.63 (define @t194 () (not @t26)) % 0.46/0.63 (define @t195 () (not @t27)) % 0.46/0.63 (define @t196 () (not @t29)) % 0.46/0.63 (define @t197 () (not @t31)) % 0.46/0.63 (define @t198 () (or @t197 @t196 @t195 @t194)) % 0.46/0.63 (define @t199 () (tptp.ordered_pair @t169 @t168)) % 0.46/0.63 (define @t200 () (= @t172 @t199)) % 0.46/0.63 (define @t201 () (or @t190 @t190 @t178 @t176 @t200)) % 0.46/0.63 (define @t202 () (tptp.ordered_pair @t108 @t107)) % 0.46/0.63 (define @t203 () (= @t110 @t202)) % 0.46/0.63 (define @t204 () (or @t190 @t190 @t147 @t145 @t203)) % 0.46/0.63 (define @t205 () (= @t202 @t199)) % 0.46/0.63 (define @t206 () (and @t203 @t173 @t200)) % 0.46/0.63 (define @t207 () (= @t107 @t168)) % 0.46/0.63 (define @t208 () (= @t108 @t169)) % 0.46/0.63 (define @t209 () (and @t208 @t207)) % 0.46/0.63 (define @t210 () (not @t205)) % 0.46/0.63 (define @t211 () (or @t210 @t209)) % 0.46/0.63 (define @t212 () (not @t209)) % 0.46/0.63 (define @t213 () (not @t207)) % 0.46/0.63 (define @t214 () (not @t208)) % 0.46/0.63 (define @t215 () (not @t142)) % 0.46/0.63 (define @t216 () (and @t215 @t207 @t208 @t170)) % 0.46/0.63 (define @t217 () (not @t141)) % 0.46/0.63 (define @t218 () (@list true false)) % 0.46/0.63 (define @t219 () (not @t163)) % 0.46/0.63 (define @t220 () (and @t217 @t163)) % 0.46/0.63 (define @t221 () (or @t147 @t145 @t215)) % 0.46/0.63 (define @t222 () (not @t221)) % 0.46/0.63 (define @t223 () (not (= @t110 @t110))) % 0.46/0.63 (define @t224 () (or @t147 @t145 @t223 @t215)) % 0.46/0.63 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.46/0.63 (assume @p2 (forall @t14 (=> @t13 (=> @t12 @t10)))) % 0.46/0.63 (assume @p3 (forall @t14 (=> @t13 (=> @t10 @t12)))) % 0.46/0.63 (assume @p4 (forall @t4 (= @t15 (tptp.unordered_pair @t2 @t1)))) % 0.46/0.63 (assume @p5 (forall @t4 (= @t17 (tptp.unordered_pair @t15 @t16)))) % 0.46/0.63 (assume @p6 @t21) % 0.46/0.63 (assume @p7 (forall @t33 (=> @t32 (tptp.element @t25 @t22)))) % 0.46/0.63 (assume @p8 true) % 0.46/0.63 (assume @p9 (forall @t14 (=> @t20 (tptp.relation @t18)))) % 0.46/0.63 (assume @p10 @t36) % 0.46/0.63 (assume @p11 (forall @t14 (=> @t37 @t34))) % 0.46/0.63 (assume @p12 @t39) % 0.46/0.63 (assume @p13 (exists @t14 @t35)) % 0.46/0.63 (assume @p14 (exists @t14 @t34)) % 0.46/0.63 (assume @p15 (exists @t14 @t37)) % 0.46/0.63 (assume @p16 (exists @t14 @t13)) % 0.46/0.63 (assume @p17 (forall @t14 (exists @t40 (tptp.element @t2 @t1)))) % 0.46/0.63 (assume @p18 @t44) % 0.46/0.63 (assume @p19 (tptp.empty tptp.empty_set)) % 0.46/0.63 (assume @p20 (forall @t14 (not (tptp.empty @t16)))) % 0.46/0.63 (assume @p21 (forall @t4 (not 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trans :premises (@p238 @p232)) % 0.46/0.63 (step @p240 :rule bool-impl-elim :args (@t43 @t42)) % 0.46/0.63 (step @p241 :rule trans :premises (@p240 @p239)) % 0.46/0.63 (step @p242 :rule cong :premises (@p241) :args (@t44)) % 0.46/0.63 (step @p243 :rule eq_resolve :premises (@p18 @p242)) % 0.46/0.63 (step @p244 :rule instantiate :premises (@p243) :args (@t162)) % 0.46/0.63 (step @p245 :rule bool-impl-elim :args (@t35 @t34)) % 0.46/0.63 (step @p246 :rule cong :premises (@p245) :args (@t36)) % 0.46/0.63 (step @p247 :rule eq_resolve :premises (@p10 @p246)) % 0.46/0.63 (step @p248 :rule instantiate :premises (@p247) :args (@t162)) % 0.46/0.63 (step @p249 :rule bool-impl-elim :args (@t13 @t38)) % 0.46/0.63 (step @p250 :rule cong :premises (@p249) :args (@t39)) % 0.46/0.63 (step @p251 :rule eq_resolve :premises (@p12 @p250)) % 0.46/0.63 (step @p252 :rule instantiate :premises (@p251) :args (@t162)) % 0.46/0.63 (step @p253 :rule cnf_or_pos :args (@t185)) % 0.46/0.63 (step @p254 :rule reordering :premises (@p253) :args ((or @t148 @t184 (not @t185)))) % 0.46/0.63 (step @p255 :rule chain_m_resolution :premises (@p254 @p151 @p252) :args (@t184 @t186 (@list @t139 @t185))) % 0.46/0.63 (step @p256 :rule cnf_and_pos :args (@t184 0)) % 0.46/0.63 (step @p257 :rule reordering :premises (@p256) :args ((or @t183 (not @t184)))) % 0.46/0.63 (step @p258 :rule chain_m_resolution :premises (@p257 @p255) :args (@t183 (@list false) (@list @t184))) % 0.46/0.63 (step @p259 :rule cnf_or_pos :args (@t189)) % 0.46/0.63 (step @p260 :rule reordering :premises (@p259) :args ((or @t187 @t188 (not @t189)))) % 0.46/0.63 (step @p261 :rule chain_m_resolution :premises (@p260 @p258 @p248) :args (@t187 @t186 (@list @t183 @t189))) % 0.46/0.63 (step @p262 :rule cnf_or_pos :args (@t193)) % 0.46/0.63 (step @p263 :rule reordering :premises (@p262) :args ((or @t151 @t192 @t191 (not @t193)))) % 0.46/0.63 (step @p264 :rule chain_m_resolution :premises (@p263 @p159 @p261 @p244) :args (@t191 (@list true false false) (@list @t151 @t187 @t193))) % 0.46/0.63 (step @p265 :rule aci_norm :args ((= (or (or @t30 @t28 @t195 @t194) @t63) (or @t30 @t28 @t195 @t194 @t63)))) % 0.46/0.63 (step @p266 :rule refl :args (@t63)) % 0.46/0.63 (step @p267 :rule refl :args (@t194)) % 0.46/0.63 (step @p268 :rule refl :args (@t195)) % 0.46/0.63 (step @p269 :rule bool-double-not-elim :args (@t28)) % 0.46/0.63 (step @p270 :rule bool-double-not-elim :args (@t30)) % 0.46/0.63 (step @p271 :rule nary_cong :premises (@p270 @p269 @p268 @p267) :args (@t198)) % 0.46/0.63 (step @p272 :rule aci_norm :args ((= (or @t197 (or @t196 (or @t195 @t194))) @t198))) % 0.46/0.63 (step @p273 :rule trans :premises (@p272 @p271)) % 0.46/0.63 (step @p274 :rule bool-and-de-morgan :args (@t27 @t26 true)) % 0.46/0.63 (step @p275 :rule refl :args (@t196)) % 0.46/0.63 (step @p276 :rule nary_cong :premises (@p275 @p274) :args ((or @t196 (not (and @t27 @t26))))) % 0.46/0.63 (step @p277 :rule bool-and-de-morgan :args (@t29 @t27 (and @t26))) % 0.46/0.63 (step @p278 :rule trans :premises (@p277 @p276)) % 0.46/0.63 (step @p279 :rule refl :args (@t197)) % 0.46/0.63 (step @p280 :rule nary_cong :premises (@p279 @p278) :args ((or @t197 (not (and @t29 @t27 @t26))))) % 0.46/0.63 (step @p281 :rule bool-and-de-morgan :args (@t31 @t29 (and @t27 @t26))) % 0.46/0.63 (step @p282 :rule trans :premises (@p281 @p280)) % 0.46/0.63 (step @p283 :rule trans :premises (@p282 @p273)) % 0.46/0.63 (step @p284 :rule nary_cong :premises (@p283 @p266) :args ((or (not @t32) @t63))) % 0.46/0.63 (step @p285 :rule trans :premises (@p284 @p265)) % 0.46/0.63 (step @p286 :rule bool-impl-elim :args (@t32 @t63)) % 0.46/0.63 (step @p287 :rule trans :premises (@p286 @p285)) % 0.46/0.63 (step @p288 :rule cong :premises (@p287) :args (@t64)) % 0.46/0.63 (step @p289 :rule eq_resolve :premises (@p27 @p288)) % 0.46/0.63 (step @p290 :rule instantiate :premises (@p289) :args ((@list @t109 @t109 @t169 @t168))) % 0.46/0.63 (step @p291 :rule cnf_or_pos :args (@t201)) % 0.46/0.63 (step @p292 :rule factoring :premises (@p291)) % 0.46/0.63 (step @p293 :rule reordering :premises (@p292) :args ((or @t190 @t178 @t176 @t200 (not @t201)))) % 0.46/0.63 (step @p294 :rule instantiate :premises (@p289) :args ((@list @t109 @t109 @t108 @t107))) % 0.46/0.63 (step @p295 :rule bool-double-not-elim :args (@t144)) % 0.46/0.63 (step @p296 :rule nary_cong :premises (@p146 @p295) :args ((or @t152 (not @t145)))) % 0.46/0.63 (step @p297 :rule cnf_or_neg :args (@t152 4)) % 0.46/0.63 (step @p298 :rule eq_resolve :premises (@p297 @p296)) % 0.46/0.63 (step @p299 :rule reordering :premises (@p298) :args ((or @t144 @t152))) % 0.46/0.63 (step @p300 :rule chain_m_resolution :premises (@p299 @p144) :args (@t144 @t153 @t154)) % 0.46/0.63 (step @p301 :rule bool-double-not-elim :args (@t146)) % 0.46/0.63 (step @p302 :rule nary_cong :premises (@p146 @p301) :args ((or @t152 (not @t147)))) % 0.46/0.63 (step @p303 :rule cnf_or_neg :args (@t152 3)) % 0.46/0.63 (step @p304 :rule eq_resolve 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@p333)) % 0.46/0.63 (step @p335 :rule instantiate :premises (@p334) :args ((@list @t108 @t107 @t169 @t168))) % 0.46/0.63 (step @p336 :rule cnf_or_pos :args (@t211)) % 0.46/0.63 (step @p337 :rule reordering :premises (@p336) :args ((or @t210 @t209 (not @t211)))) % 0.46/0.63 (step @p338 :rule cnf_and_pos :args (@t209 0)) % 0.46/0.63 (step @p339 :rule reordering :premises (@p338) :args ((or @t208 @t212))) % 0.46/0.63 (step @p340 :rule cnf_and_pos :args (@t209 1)) % 0.46/0.63 (step @p341 :rule reordering :premises (@p340) :args ((or @t207 @t212))) % 0.46/0.63 (step @p342 :rule refl :args (@t213)) % 0.46/0.63 (step @p343 :rule refl :args (@t214)) % 0.46/0.63 (step @p344 :rule refl :args (@t171)) % 0.46/0.63 (step @p345 :rule bool-double-not-elim :args (@t142)) % 0.46/0.63 (step @p346 :rule nary_cong :premises (@p345 @p344 @p343 @p342) :args ((or (not @t215) @t171 @t214 @t213))) % 0.46/0.63 (assume-push @p461 @t215) % 0.46/0.63 (assume-push @p462 @t207) % 0.46/0.63 (assume-push @p463 @t208) % 0.46/0.63 (assume-push @p464 @t170) % 0.46/0.63 (step @p351 :rule evaluate :args ((= true false))) % 0.46/0.63 (step @p352 :rule false_intro :premises (@p461)) % 0.46/0.63 (step @p353 :rule symm :premises (@p462)) % 0.46/0.63 (step @p354 :rule refl :args (@t108)) % 0.46/0.63 (step @p355 :rule refl :args (@t106)) % 0.46/0.63 (step @p356 :rule cong :premises (@p355 @p354 @p353) :args ((tptp.below_refl @t106 @t108 @t168))) % 0.46/0.63 (step @p357 :rule refl :args (@t168)) % 0.46/0.63 (step @p358 :rule symm :premises (@p463)) % 0.46/0.63 (step @p359 :rule cong :premises (@p355 @p358 @p357) :args (@t170)) % 0.46/0.63 (step @p360 :rule true_intro :premises (@p464)) % 0.46/0.63 (step @p361 :rule symm :premises (@p360)) % 0.46/0.63 (step @p362 :rule trans :premises (@p361 @p359 @p356 @p352)) % 0.46/0.63 (step @p363 false :rule eq_resolve :premises (@p362 @p351)) % 0.46/0.64 (step-pop @p465 :rule scope :premises (@p363)) % 0.46/0.64 (step-pop @p466 :rule scope :premises (@p465)) % 0.46/0.64 (step-pop @p467 :rule scope :premises (@p466)) % 0.46/0.64 (step-pop @p468 :rule scope :premises (@p467)) % 0.46/0.64 (step @p364 :rule process_scope :premises (@p468) :args (false)) % 0.46/0.64 (assume-push @p469 @t215) % 0.46/0.64 (assume-push @p470 @t170) % 0.46/0.64 (assume-push @p471 @t208) % 0.46/0.64 (assume-push @p472 @t207) % 0.46/0.64 (step @p373 :rule and_intro :premises (@p469 @p472 @p471 @p470)) % 0.46/0.64 (step-pop @p473 :rule scope :premises (@p373)) % 0.46/0.64 (step-pop @p474 :rule scope :premises (@p473)) % 0.46/0.64 (step-pop @p475 :rule scope :premises (@p474)) % 0.46/0.64 (step-pop @p476 :rule scope :premises (@p475)) % 0.46/0.64 (step @p374 :rule process_scope :premises (@p476) :args (@t216)) % 0.46/0.64 (step @p379 :rule implies_elim :premises (@p374)) % 0.46/0.64 (step @p380 :rule resolution :premises (@p379 @p364) :args (true @t216)) % 0.46/0.64 (step @p381 :rule not_and :premises (@p380)) % 0.46/0.64 (step @p382 :rule eq_resolve :premises (@p381 @p346)) % 0.46/0.64 (step @p383 :rule chain_m_resolution :premises (@p382 @p341 @p339 @p337 @p335 @p331 @p310 @p293 @p290 @p264 @p231 @p226 @p221 @p216 @p210 @p201 @p162 @p199 @p174 @p178 @p176) :args (@t142 (@list false false false false false false false false true false false false false true true false false false false true) (@list @t207 @t208 @t209 @t211 @t205 @t203 @t200 @t201 @t190 @t170 @t173 @t175 @t177 @t179 @t155 @t159 @t158 @t163 @t141 @t143))) % 0.46/0.64 (step @p384 :rule cnf_equiv_neg2 :args (@t143)) % 0.46/0.64 (step @p385 :rule chain_m_resolution :premises (@p384 @p176 @p383) :args (@t217 @t218 (@list @t143 @t142))) % 0.46/0.64 (step @p386 :rule refl :args (@t167)) % 0.46/0.64 (step @p387 :rule refl :args (@t219)) % 0.46/0.64 (step @p388 :rule bool-double-not-elim :args (@t141)) % 0.46/0.64 (step @p389 :rule nary_cong :premises (@p388 @p387 @p386) :args ((or (not @t217) @t219 @t167))) % 0.46/0.64 (assume-push @p477 @t217) % 0.46/0.64 (assume-push @p478 @t163) % 0.46/0.64 (assume-push @p479 @t217) % 0.46/0.64 (assume-push @p480 @t163) % 0.46/0.64 (step @p394 :rule false_intro :premises (@p477)) % 0.46/0.64 (step @p184 :rule symm :premises (@p174)) % 0.46/0.64 (step @p185 :rule refl :args (@t110)) % 0.46/0.64 (step @p186 :rule cong :premises (@p185 @p184) :args (@t158)) % 0.46/0.64 (step @p395 :rule trans :premises (@p186 @p394)) % 0.46/0.64 (step @p396 :rule false_elim :premises (@p395)) % 0.46/0.64 (step-pop @p481 :rule scope :premises (@p396)) % 0.46/0.64 (step-pop @p482 :rule scope :premises (@p481)) % 0.46/0.64 (step @p397 :rule process_scope :premises (@p482) :args (@t167)) % 0.46/0.64 (step @p400 :rule and_intro :premises (@p477 @p174)) % 0.46/0.64 (step @p401 :rule modus_ponens :premises (@p400 @p397)) % 0.46/0.64 (step-pop @p483 :rule scope :premises (@p401)) % 0.46/0.64 (step-pop @p484 :rule scope :premises (@p483)) % 0.46/0.64 (step @p402 :rule process_scope :premises (@p484) :args (@t167)) % 0.46/0.64 (step @p405 :rule implies_elim :premises (@p402)) % 0.46/0.64 (step @p406 :rule cnf_and_neg :args (@t220)) % 0.46/0.64 (step @p407 :rule resolution :premises (@p406 @p405) :args (true @t220)) % 0.46/0.64 (step @p408 :rule eq_resolve :premises (@p407 @p389)) % 0.46/0.64 (step @p409 :rule chain_m_resolution :premises (@p408 @p385 @p174) :args (@t167 @t218 (@list @t141 @t163))) % 0.46/0.64 (step @p410 :rule refl :args (@t158)) % 0.46/0.64 (step @p411 :rule refl :args (@t166)) % 0.46/0.64 (step @p412 :rule nary_cong :premises (@p411 @p410 @p203) :args ((or @t166 @t158 @t181))) % 0.46/0.64 (step @p413 :rule cnf_equiv_pos2 :args (@t159)) % 0.46/0.64 (step @p414 :rule eq_resolve :premises (@p413 @p412)) % 0.46/0.64 (step @p415 :rule reordering :premises (@p414) :args ((or @t158 @t155 @t166))) % 0.46/0.64 (step @p416 :rule chain_m_resolution :premises (@p415 @p409 @p162) :args (@t155 @t218 (@list @t158 @t159))) % 0.46/0.64 (step @p417 :rule cnf_or_pos :args (@t221)) % 0.46/0.64 (step @p418 :rule reordering :premises (@p417) :args ((or @t147 @t145 @t215 @t222))) % 0.46/0.64 (step @p419 :rule chain_m_resolution :premises (@p418 @p306 @p300 @p383) :args (@t222 (@list false false false) (@list @t146 @t144 @t142))) % 0.46/0.64 (step @p420 :rule aci_norm :args ((= (or @t147 @t145 false @t215) @t221))) % 0.46/0.64 (step @p421 :rule refl :args (@t215)) % 0.46/0.64 (step @p422 :rule evaluate :args ((not true))) % 0.46/0.64 (step @p423 :rule eq-refl :args (@t110)) % 0.46/0.64 (step @p424 :rule cong :premises (@p423) :args (@t223)) % 0.46/0.64 (step @p425 :rule trans :premises (@p424 @p422)) % 0.46/0.64 (step @p426 :rule refl :args (@t145)) % 0.46/0.64 (step @p427 :rule refl :args (@t147)) % 0.46/0.64 (step @p428 :rule nary_cong :premises (@p427 @p426 @p425 @p421) :args (@t224)) % 0.46/0.64 (step @p429 :rule trans :premises (@p428 @p420)) % 0.46/0.64 (step @p430 :rule refl :args (@t155)) % 0.46/0.64 (step @p431 :rule cong :premises (@p430 @p429) :args ((=> @t155 @t224))) % 0.46/0.64 (assume-push @p485 @t155) % 0.46/0.64 (step @p433 :rule instantiate :premises (@p485) :args ((@list @t108 @t107))) % 0.46/0.64 (step-pop @p486 :rule scope :premises (@p433)) % 0.46/0.64 (step @p434 :rule process_scope :premises (@p486) :args (@t224)) % 0.46/0.64 (step @p436 :rule eq_resolve :premises (@p434 @p431)) % 0.46/0.64 (step @p437 :rule implies_elim :premises (@p436)) % 0.46/0.64 (step @p438 false :rule chain_m_resolution :premises (@p437 @p419 @p416) :args (false @t218 (@list @t221 @t155))) % 0.46/0.64 ) % 0.46/0.64 % SZS output end Proof % 0.46/0.64 % cvc5 exiting %------------------------------------------------------------------------------