%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU373+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:51:33 AM UTC 2026 % Result : Theorem 0.37s 0.62s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU373+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n018.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 17:03:05 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.62 % SZS status Theorem % 0.37/0.62 % SZS output start Proof % 0.37/0.62 ( % 0.37/0.62 (declare-sort $$unsorted 0) % 0.37/0.62 (declare-const tptp.empty_set $$unsorted) % 0.37/0.62 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.net_str (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.relation_dom_restr_as_relation_of (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.the_mapping (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.subnetstr (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.subrelstr (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.function (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 0.37/0.62 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.62 (define @t2 () (@var "B" $$unsorted)) % 0.37/0.62 (define @t3 () (tptp.in @t1 @t2)) % 0.37/0.62 (define @t4 () (@list @t1 @t2)) % 0.37/0.62 (define @t5 () (tptp.function @t1)) % 0.37/0.62 (define @t6 () (tptp.empty @t1)) % 0.37/0.62 (define @t7 () (@list @t1)) % 0.37/0.62 (define @t8 () (tptp.relation @t1)) % 0.37/0.62 (define @t9 () (@var "C" $$unsorted)) % 0.37/0.62 (define @t10 () (tptp.cartesian_product2 @t1 @t2)) % 0.37/0.62 (define @t11 () (tptp.element @t9 (tptp.powerset @t10))) % 0.37/0.62 (define @t12 () (@list @t1 @t2 @t9)) % 0.37/0.62 (define @t13 () (and @t8 @t5 (tptp.one_to_one @t1))) % 0.37/0.62 (define @t14 () (and @t8 @t6 @t5)) % 0.37/0.62 (define @t15 () (tptp.the_InternalRel @t1)) % 0.37/0.62 (define @t16 () (tptp.the_carrier @t1)) % 0.37/0.62 (define @t17 () (tptp.the_carrier @t2)) % 0.37/0.62 (define @t18 () (tptp.subrelstr @t2 @t1)) % 0.37/0.62 (define @t19 () (= @t18 (and (tptp.subset @t17 @t16) (tptp.subset (tptp.the_InternalRel @t2) @t15)))) % 0.37/0.62 (define @t20 () (tptp.rel_str @t2)) % 0.37/0.62 (define @t21 () (@list @t2)) % 0.37/0.62 (define @t22 () (forall @t21 (=> @t20 @t19))) % 0.37/0.62 (define @t23 () (tptp.rel_str @t1)) % 0.37/0.62 (define @t24 () (=> @t23 @t22)) % 0.37/0.62 (define @t25 () (forall @t7 @t24)) % 0.37/0.62 (define @t26 () (tptp.the_carrier @t9)) % 0.37/0.62 (define @t27 () (tptp.the_mapping @t1 @t2)) % 0.37/0.62 (define @t28 () (tptp.subnetstr @t9 @t1 @t2)) % 0.37/0.62 (define @t29 () (= @t28 (and (tptp.subrelstr @t9 @t2) (= (tptp.the_mapping @t1 @t9) (tptp.relation_dom_restr_as_relation_of @t17 @t16 @t27 @t26))))) % 0.37/0.62 (define @t30 () (tptp.net_str @t9 @t1)) % 0.37/0.62 (define @t31 () (@list @t9)) % 0.37/0.62 (define @t32 () (forall @t31 (=> @t30 @t29))) % 0.37/0.62 (define @t33 () (tptp.net_str @t2 @t1)) % 0.37/0.62 (define @t34 () (=> @t33 @t32)) % 0.37/0.62 (define @t35 () (forall @t21 @t34)) % 0.37/0.62 (define @t36 () (tptp.one_sorted_str @t1)) % 0.37/0.62 (define @t37 () (=> @t36 @t35)) % 0.37/0.62 (define @t38 () (forall @t7 @t37)) % 0.37/0.62 (define @t39 () (tptp.relation_dom_restriction @t1 @t2)) % 0.37/0.62 (define @t40 () (tptp.relation @t39)) % 0.37/0.62 (define @t41 () (@var "D" $$unsorted)) % 0.37/0.62 (define @t42 () (tptp.relation_dom_restr_as_relation_of @t1 @t2 @t9 @t41)) % 0.37/0.62 (define @t43 () (tptp.relation_of2 @t9 @t1 @t2)) % 0.37/0.62 (define @t44 () (@list @t1 @t2 @t9 @t41)) % 0.37/0.62 (define @t45 () (forall @t21 (=> @t33 @t20))) % 0.37/0.62 (define @t46 () (=> @t36 @t45)) % 0.37/0.62 (define @t47 () (forall @t7 @t46)) % 0.37/0.62 (define @t48 () (forall @t31 (=> @t28 @t30))) % 0.37/0.62 (define @t49 () (and @t36 @t33)) % 0.37/0.62 (define @t50 () (=> @t49 @t48)) % 0.37/0.62 (define @t51 () (forall @t4 @t50)) % 0.37/0.62 (define @t52 () (tptp.relation_of2_as_subset @t9 @t1 @t2)) % 0.37/0.62 (define @t53 () (tptp.relation tptp.empty_set)) % 0.37/0.62 (define @t54 () (tptp.empty tptp.empty_set)) % 0.37/0.62 (define @t55 () (tptp.relation_empty_yielding @t1)) % 0.37/0.62 (define @t56 () (and @t8 @t55)) % 0.37/0.62 (define @t57 () (tptp.powerset @t1)) % 0.37/0.62 (define @t58 () (and @t8 @t5)) % 0.37/0.62 (define @t59 () (tptp.empty @t2)) % 0.37/0.62 (define @t60 () (not @t59)) % 0.37/0.62 (define @t61 () (not @t6)) % 0.37/0.62 (define @t62 () (tptp.element @t2 @t57)) % 0.37/0.62 (define @t63 () (tptp.subset @t26 @t17)) % 0.37/0.62 (define @t64 () (forall @t31 (=> @t28 @t63))) % 0.37/0.62 (define @t65 () (=> @t33 @t64)) % 0.37/0.62 (define @t66 () (forall @t21 @t65)) % 0.37/0.62 (define @t67 () (=> @t36 @t66)) % 0.37/0.62 (define @t68 () (forall @t7 @t67)) % 0.37/0.62 (define @t69 () (not @t68)) % 0.37/0.62 (define @t70 () (tptp.element @t1 @t2)) % 0.37/0.62 (define @t71 () (tptp.element @t2 (tptp.powerset @t9))) % 0.37/0.62 (define @t72 () (@var "BOUND_VARIABLE_7770" $$unsorted)) % 0.37/0.62 (define @t73 () (tptp.rel_str @t72)) % 0.37/0.62 (define @t74 () (not (tptp.net_str @t72 @t1))) % 0.37/0.62 (define @t75 () (not @t36)) % 0.37/0.62 (define @t76 () (or @t75 @t74 @t73)) % 0.37/0.62 (define @t77 () (or @t74 @t73)) % 0.37/0.62 (define @t78 () (or @t75 @t77)) % 0.37/0.62 (define @t79 () (@list @t1 @t72)) % 0.37/0.62 (define @t80 () (forall @t79 @t78)) % 0.37/0.62 (define @t81 () (@list @t72)) % 0.37/0.62 (define @t82 () (forall @t81 @t78)) % 0.37/0.62 (define @t83 () (forall @t81 @t77)) % 0.37/0.62 (define @t84 () (@list @t2)) % 0.37/0.62 (define @t85 () (or @t75 @t83)) % 0.37/0.62 (define @t86 () (not @t33)) % 0.37/0.62 (define @t87 () (forall @t21 (or @t86 @t20))) % 0.37/0.62 (define @t88 () (@var "BOUND_VARIABLE_7810" $$unsorted)) % 0.37/0.62 (define @t89 () (tptp.net_str @t88 @t1)) % 0.37/0.62 (define @t90 () (not (tptp.subnetstr @t88 @t1 @t2))) % 0.37/0.62 (define @t91 () (or @t90 @t89)) % 0.37/0.62 (define @t92 () (or @t75 @t86 @t91)) % 0.37/0.62 (define @t93 () (forall (@list @t1 @t2 @t88) @t92)) % 0.37/0.62 (define @t94 () (@list @t88)) % 0.37/0.62 (define @t95 () (forall @t94 @t92)) % 0.37/0.62 (define @t96 () (forall @t94 @t91)) % 0.37/0.62 (define @t97 () (@list @t9)) % 0.37/0.62 (define @t98 () (or @t75 @t86 @t96)) % 0.37/0.62 (define @t99 () (not @t28)) % 0.37/0.62 (define @t100 () (forall @t31 (or @t99 @t30))) % 0.37/0.62 (define @t101 () (or @t75 @t86 @t100)) % 0.37/0.62 (define @t102 () (@var "BOUND_VARIABLE_7982" $$unsorted)) % 0.37/0.62 (define @t103 () (@var "BOUND_VARIABLE_7984" $$unsorted)) % 0.37/0.62 (define @t104 () (tptp.subset (tptp.the_carrier @t103) (tptp.the_carrier @t102))) % 0.37/0.62 (define @t105 () (not (tptp.subnetstr @t103 @t1 @t102))) % 0.37/0.62 (define @t106 () (not (tptp.net_str @t102 @t1))) % 0.37/0.62 (define @t107 () (or @t75 @t106 @t105 @t104)) % 0.37/0.62 (define @t108 () (@list @t1 @t102 @t103)) % 0.37/0.62 (define @t109 () (forall @t108 @t107)) % 0.37/0.62 (define @t110 () (@quantifiers_skolemize @t109 2)) % 0.37/0.62 (define @t111 () (@quantifiers_skolemize @t109 1)) % 0.37/0.62 (define @t112 () (@quantifiers_skolemize @t109 0)) % 0.37/0.62 (define @t113 () (@list @t112 @t111 @t110)) % 0.37/0.62 (define @t114 () (or @t106 @t105 @t104)) % 0.37/0.62 (define @t115 () (or @t75 @t114)) % 0.37/0.62 (define @t116 () (forall @t108 @t115)) % 0.37/0.62 (define @t117 () (@list @t102 @t103)) % 0.37/0.62 (define @t118 () (forall @t117 @t115)) % 0.37/0.62 (define @t119 () (forall @t117 @t114)) % 0.37/0.62 (define @t120 () (@var "BOUND_VARIABLE_7966" $$unsorted)) % 0.37/0.62 (define @t121 () (or @t75 @t119)) % 0.37/0.62 (define @t122 () (tptp.subset (tptp.the_carrier @t120) @t17)) % 0.37/0.62 (define @t123 () (not (tptp.subnetstr @t120 @t1 @t2))) % 0.37/0.62 (define @t124 () (or @t86 @t123 @t122)) % 0.37/0.62 (define @t125 () (@list @t2 @t120)) % 0.37/0.62 (define @t126 () (forall @t125 @t124)) % 0.37/0.62 (define @t127 () (or @t123 @t122)) % 0.37/0.62 (define @t128 () (or @t86 @t127)) % 0.37/0.62 (define @t129 () (forall @t125 @t128)) % 0.37/0.62 (define @t130 () (@list @t120)) % 0.37/0.62 (define @t131 () (forall @t130 @t128)) % 0.37/0.62 (define @t132 () (forall @t130 @t127)) % 0.37/0.62 (define @t133 () (or @t86 @t132)) % 0.37/0.62 (define @t134 () (forall @t31 (or @t99 @t63))) % 0.37/0.62 (define @t135 () (tptp.subnetstr @t110 @t112 @t111)) % 0.37/0.62 (define @t136 () (tptp.the_carrier @t111)) % 0.37/0.62 (define @t137 () (tptp.the_carrier @t110)) % 0.37/0.62 (define @t138 () (tptp.subset @t137 @t136)) % 0.37/0.62 (define @t139 () (not @t135)) % 0.37/0.62 (define @t140 () (tptp.net_str @t111 @t112)) % 0.37/0.62 (define @t141 () (not @t140)) % 0.37/0.62 (define @t142 () (tptp.one_sorted_str @t112)) % 0.37/0.62 (define @t143 () (not @t142)) % 0.37/0.62 (define @t144 () (or @t143 @t141 @t139 @t138)) % 0.37/0.62 (define @t145 () (@list true)) % 0.37/0.62 (define @t146 () (@list @t144)) % 0.37/0.62 (define @t147 () (tptp.net_str @t110 @t112)) % 0.37/0.62 (define @t148 () (or @t143 @t141 @t139 @t147)) % 0.37/0.62 (define @t149 () (@list false false false false)) % 0.37/0.62 (define @t150 () (@var "BOUND_VARIABLE_7680" $$unsorted)) % 0.37/0.62 (define @t151 () (= (tptp.subrelstr @t150 @t1) (and (tptp.subset (tptp.the_carrier @t150) @t16) (tptp.subset (tptp.the_InternalRel @t150) @t15)))) % 0.37/0.62 (define @t152 () (not (tptp.rel_str @t150))) % 0.37/0.62 (define @t153 () (not @t23)) % 0.37/0.62 (define @t154 () (or @t152 @t151)) % 0.37/0.62 (define @t155 () (or @t153 @t154)) % 0.37/0.62 (define @t156 () (forall (@list @t1 @t150) @t155)) % 0.37/0.62 (define @t157 () (@list @t150)) % 0.37/0.62 (define @t158 () (forall @t157 @t155)) % 0.37/0.62 (define @t159 () (forall @t157 @t154)) % 0.37/0.62 (define @t160 () (or @t153 @t159)) % 0.37/0.62 (define @t161 () (forall @t21 (or (not @t20) @t19))) % 0.37/0.62 (define @t162 () (@var "BOUND_VARIABLE_7731" $$unsorted)) % 0.37/0.62 (define @t163 () (@var "BOUND_VARIABLE_7729" $$unsorted)) % 0.37/0.62 (define @t164 () (= (tptp.subnetstr @t162 @t1 @t163) (and (tptp.subrelstr @t162 @t163) (= (tptp.the_mapping @t1 @t162) (tptp.relation_dom_restr_as_relation_of (tptp.the_carrier @t163) @t16 (tptp.the_mapping @t1 @t163) (tptp.the_carrier @t162)))))) % 0.37/0.62 (define @t165 () (not (tptp.net_str @t162 @t1))) % 0.37/0.62 (define @t166 () (not (tptp.net_str @t163 @t1))) % 0.37/0.62 (define @t167 () (or @t166 @t165 @t164)) % 0.37/0.62 (define @t168 () (or @t75 @t167)) % 0.37/0.62 (define @t169 () (forall (@list @t1 @t163 @t162) @t168)) % 0.37/0.62 (define @t170 () (@list @t163 @t162)) % 0.37/0.62 (define @t171 () (forall @t170 @t168)) % 0.37/0.62 (define @t172 () (forall @t170 @t167)) % 0.37/0.62 (define @t173 () (@var "BOUND_VARIABLE_7706" $$unsorted)) % 0.37/0.62 (define @t174 () (or @t75 @t172)) % 0.37/0.62 (define @t175 () (= (tptp.subnetstr @t173 @t1 @t2) (and (tptp.subrelstr @t173 @t2) (= (tptp.the_mapping @t1 @t173) (tptp.relation_dom_restr_as_relation_of @t17 @t16 @t27 (tptp.the_carrier @t173)))))) % 0.37/0.62 (define @t176 () (not (tptp.net_str @t173 @t1))) % 0.37/0.62 (define @t177 () (or @t86 @t176 @t175)) % 0.37/0.62 (define @t178 () (@list @t2 @t173)) % 0.37/0.62 (define @t179 () (forall @t178 @t177)) % 0.37/0.62 (define @t180 () (or @t176 @t175)) % 0.37/0.62 (define @t181 () (or @t86 @t180)) % 0.37/0.62 (define @t182 () (forall @t178 @t181)) % 0.37/0.62 (define @t183 () (@list @t173)) % 0.37/0.62 (define @t184 () (forall @t183 @t181)) % 0.37/0.62 (define @t185 () (forall @t183 @t180)) % 0.37/0.62 (define @t186 () (or @t86 @t185)) % 0.37/0.62 (define @t187 () (forall @t31 (or (not @t30) @t29))) % 0.37/0.62 (define @t188 () (tptp.subrelstr @t110 @t111)) % 0.37/0.62 (define @t189 () (and @t188 (= (tptp.the_mapping @t112 @t110) (tptp.relation_dom_restr_as_relation_of @t136 (tptp.the_carrier @t112) (tptp.the_mapping @t112 @t111) @t137)))) % 0.37/0.62 (define @t190 () (= @t135 @t189)) % 0.37/0.62 (define @t191 () (not @t147)) % 0.37/0.62 (define @t192 () (or @t143 @t141 @t191 @t190)) % 0.37/0.62 (define @t193 () (and @t138 (tptp.subset (tptp.the_InternalRel @t110) (tptp.the_InternalRel @t111)))) % 0.37/0.62 (define @t194 () (not @t193)) % 0.37/0.62 (define @t195 () (= @t188 @t193)) % 0.37/0.62 (define @t196 () (not @t195)) % 0.37/0.62 (define @t197 () (@list true false)) % 0.37/0.62 (define @t198 () (tptp.rel_str @t111)) % 0.37/0.62 (define @t199 () (or @t143 @t141 @t198)) % 0.37/0.62 (define @t200 () (tptp.rel_str @t110)) % 0.37/0.62 (define @t201 () (not @t200)) % 0.37/0.62 (define @t202 () (not @t198)) % 0.37/0.62 (define @t203 () (or @t202 @t201 @t195)) % 0.37/0.62 (define @t204 () (@list false true false)) % 0.37/0.62 (define @t205 () (or @t143 @t191 @t200)) % 0.37/0.62 (define @t206 () (not @t205)) % 0.37/0.62 (define @t207 () (forall @t79 @t76)) % 0.37/0.62 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.37/0.62 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.37/0.62 (assume @p3 (forall @t7 (=> @t6 @t8))) % 0.37/0.62 (assume @p4 (forall @t12 (=> @t11 (tptp.relation @t9)))) % 0.37/0.62 (assume @p5 (forall @t7 (=> @t14 @t13))) % 0.37/0.62 (assume @p6 @t25) % 0.37/0.62 (assume @p7 @t38) % 0.37/0.62 (assume @p8 true) % 0.37/0.62 (assume @p9 (forall @t4 (=> @t8 @t40))) % 0.37/0.62 (assume @p10 (forall @t44 (=> @t43 (tptp.relation_of2_as_subset @t42 @t1 @t2)))) % 0.37/0.62 (assume @p11 (forall @t7 (=> @t23 @t36))) % 0.37/0.62 (assume @p12 @t47) % 0.37/0.62 (assume @p13 (forall @t7 (=> @t23 (forall @t21 (=> @t18 @t20))))) % 0.37/0.62 (assume @p14 @t51) % 0.37/0.62 (assume @p15 (forall @t12 (=> @t52 @t11))) % 0.37/0.62 (assume @p16 (forall @t7 (=> @t23 (tptp.relation_of2_as_subset @t15 @t16 @t16)))) % 0.37/0.62 (assume @p17 (forall @t4 (=> @t49 (and (tptp.function @t27) (tptp.quasi_total @t27 @t17 @t16) (tptp.relation_of2_as_subset @t27 @t17 @t16))))) % 0.37/0.62 (assume @p18 (exists @t7 @t23)) % 0.37/0.62 (assume @p19 (exists @t7 @t36)) % 0.37/0.62 (assume @p20 (forall @t7 (=> @t36 (exists @t21 @t33)))) % 0.37/0.62 (assume @p21 (forall @t4 (exists @t31 @t43))) % 0.37/0.62 (assume @p22 (forall @t7 (exists @t21 (tptp.element @t2 @t1)))) % 0.37/0.62 (assume @p23 (forall @t7 (=> @t23 (exists @t21 @t18)))) % 0.37/0.62 (assume @p24 (forall @t4 (=> @t49 (exists @t31 @t28)))) % 0.37/0.62 (assume @p25 (forall @t4 (exists @t31 @t52))) % 0.37/0.62 (assume @p26 (and @t54 @t53 (tptp.relation_empty_yielding tptp.empty_set))) % 0.37/0.62 (assume @p27 (forall @t4 (=> @t56 (and @t40 (tptp.relation_empty_yielding @t39))))) % 0.37/0.62 (assume @p28 (forall @t7 (not (tptp.empty @t57)))) % 0.37/0.62 (assume @p29 (forall @t4 (=> @t58 (and @t40 (tptp.function @t39))))) % 0.37/0.62 (assume @p30 (and @t54 @t53)) % 0.37/0.62 (assume @p31 (forall @t4 (=> (and @t61 @t60) (not (tptp.empty @t10))))) % 0.37/0.62 (assume @p32 (exists @t7 @t58)) % 0.37/0.62 (assume @p33 (exists @t7 (and @t8 @t55 @t5))) % 0.37/0.62 (assume @p34 (exists @t7 (and @t6 @t8))) % 0.37/0.62 (assume @p35 (forall @t7 (=> @t61 (exists @t21 (and @t62 @t60))))) % 0.37/0.62 (assume @p36 (exists @t7 @t14)) % 0.37/0.62 (assume @p37 (exists @t7 (and @t61 @t8))) % 0.37/0.62 (assume @p38 (forall @t7 (exists @t21 (and @t62 @t59)))) % 0.37/0.62 (assume @p39 (exists @t7 @t13)) % 0.37/0.62 (assume @p40 (exists @t7 @t56)) % 0.37/0.62 (assume @p41 (forall @t44 (=> @t43 (= @t42 (tptp.relation_dom_restriction @t9 @t41))))) % 0.37/0.62 (assume @p42 (forall @t12 (= @t52 @t43))) % 0.37/0.62 (assume @p43 (forall @t4 (tptp.subset @t1 @t1))) % 0.37/0.62 (assume @p44 @t69) % 0.37/0.62 (assume @p45 (forall @t4 (=> @t3 @t70))) % 0.37/0.62 (assume @p46 (forall @t4 (=> @t70 (or @t59 @t3)))) % 0.37/0.62 (assume @p47 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.37/0.62 (assume @p48 (forall @t12 (=> (and @t3 @t71) (tptp.element @t1 @t9)))) % 0.37/0.62 (assume @p49 (forall @t12 (not (and @t3 @t71 (tptp.empty @t9))))) % 0.37/0.62 (assume @p50 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 0.37/0.62 (assume @p51 (forall @t4 (not (and @t3 @t59)))) % 0.37/0.62 (assume @p52 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t59)))) % 0.37/0.62 (step @p53 :rule aci_norm :args ((= @t78 @t76))) % 0.37/0.62 (step @p54 :rule cong :premises (@p53) :args (@t80)) % 0.37/0.62 (step @p55 :rule quant-merge-prenex :args ((= (forall @t7 @t82) @t80))) % 0.37/0.62 (step @p56 :rule alpha_equiv :args (@t83 (@list @t72) @t84)) % 0.37/0.62 (step @p57 :rule refl :args (@t75)) % 0.37/0.62 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t85)) % 0.37/0.62 (step @p59 :rule quant-miniscope-or :args ((= @t82 @t85))) % 0.37/0.62 (step @p60 :rule trans :premises (@p59 @p58)) % 0.37/0.62 (step @p61 :rule symm :premises (@p60)) % 0.37/0.62 (step @p62 :rule cong :premises (@p61) :args ((forall @t7 (or @t75 @t87)))) % 0.37/0.62 (step @p63 :rule trans :premises (@p62 @p55)) % 0.37/0.62 (step @p64 :rule trans :premises (@p63 @p54)) % 0.37/0.62 (step @p65 :rule bool-impl-elim :args (@t36 @t87)) % 0.37/0.62 (step @p66 :rule cong :premises (@p65) :args ((forall @t7 (=> @t36 @t87)))) % 0.37/0.62 (step @p67 :rule trans :premises (@p66 @p64)) % 0.37/0.62 (step @p68 :rule bool-impl-elim :args (@t33 @t20)) % 0.37/0.62 (step @p69 :rule cong :premises (@p68) :args (@t45)) % 0.37/0.62 (step @p70 :rule refl :args (@t36)) % 0.37/0.62 (step @p71 :rule cong :premises (@p70 @p69) :args (@t46)) % 0.37/0.62 (step @p72 :rule cong :premises (@p71) :args (@t47)) % 0.37/0.62 (step @p73 :rule trans :premises (@p72 @p67)) % 0.37/0.62 (step @p74 :rule eq_resolve :premises (@p12 @p73)) % 0.37/0.62 (step @p75 :rule aci_norm :args ((= @t92 (or @t75 @t86 @t90 @t89)))) % 0.37/0.62 (step @p76 :rule cong :premises (@p75) :args (@t93)) % 0.37/0.62 (step @p77 :rule quant-merge-prenex :args ((= (forall @t4 @t95) @t93))) % 0.37/0.62 (step @p78 :rule alpha_equiv :args (@t96 (@list @t88) @t97)) % 0.37/0.62 (step @p79 :rule refl :args (@t86)) % 0.37/0.62 (step @p80 :rule nary_cong :premises (@p57 @p79 @p78) :args (@t98)) % 0.37/0.62 (step @p81 :rule quant-miniscope-or :args ((= @t95 @t98))) % 0.37/0.62 (step @p82 :rule trans :premises (@p81 @p80)) % 0.37/0.62 (step @p83 :rule symm :premises (@p82)) % 0.37/0.62 (step @p84 :rule cong :premises (@p83) :args ((forall @t4 @t101))) % 0.37/0.62 (step @p85 :rule trans :premises (@p84 @p77)) % 0.37/0.62 (step @p86 :rule trans :premises (@p85 @p76)) % 0.37/0.62 (step @p87 :rule aci_norm :args ((= (or (or @t75 @t86) @t100) @t101))) % 0.37/0.62 (step @p88 :rule refl :args (@t100)) % 0.37/0.62 (step @p89 :rule bool-and-de-morgan :args (@t36 @t33 true)) % 0.37/0.62 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or (not @t49) @t100))) % 0.37/0.62 (step @p91 :rule trans :premises (@p90 @p87)) % 0.37/0.62 (step @p92 :rule bool-impl-elim :args (@t49 @t100)) % 0.37/0.62 (step @p93 :rule trans :premises (@p92 @p91)) % 0.37/0.62 (step @p94 :rule cong :premises (@p93) :args ((forall @t4 (=> @t49 @t100)))) % 0.37/0.62 (step @p95 :rule trans :premises (@p94 @p86)) % 0.37/0.62 (step @p96 :rule bool-impl-elim :args (@t28 @t30)) % 0.37/0.62 (step @p97 :rule cong :premises (@p96) :args (@t48)) % 0.37/0.62 (step @p98 :rule refl :args (@t49)) % 0.37/0.62 (step @p99 :rule cong :premises (@p98 @p97) :args (@t50)) % 0.37/0.62 (step @p100 :rule cong :premises (@p99) :args (@t51)) % 0.37/0.62 (step @p101 :rule trans :premises (@p100 @p95)) % 0.37/0.62 (step @p102 :rule eq_resolve :premises (@p14 @p101)) % 0.37/0.62 (step @p103 :rule instantiate :premises (@p102) :args (@t113)) % 0.37/0.62 (step @p104 :rule aci_norm :args ((= @t115 @t107))) % 0.37/0.62 (step @p105 :rule cong :premises (@p104) :args (@t116)) % 0.37/0.62 (step @p106 :rule quant-merge-prenex :args ((= (forall @t7 @t118) @t116))) % 0.37/0.62 (step @p107 :rule alpha_equiv :args (@t119 (@list @t102 @t103) (@list @t2 @t120))) % 0.37/0.62 (step @p108 :rule nary_cong :premises (@p57 @p107) :args (@t121)) % 0.37/0.62 (step @p109 :rule quant-miniscope-or :args ((= @t118 @t121))) % 0.37/0.62 (step @p110 :rule trans :premises (@p109 @p108)) % 0.37/0.62 (step @p111 :rule symm :premises (@p110)) % 0.37/0.62 (step @p112 :rule cong :premises (@p111) :args ((forall @t7 (or @t75 @t126)))) % 0.37/0.62 (step @p113 :rule trans :premises (@p112 @p106)) % 0.37/0.62 (step @p114 :rule trans :premises (@p113 @p105)) % 0.37/0.62 (step @p115 :rule bool-impl-elim :args (@t36 @t126)) % 0.37/0.62 (step @p116 :rule cong :premises (@p115) :args ((forall @t7 (=> @t36 @t126)))) % 0.37/0.62 (step @p117 :rule trans :premises (@p116 @p114)) % 0.37/0.62 (step @p118 :rule aci_norm :args ((= @t128 @t124))) % 0.37/0.62 (step @p119 :rule cong :premises (@p118) :args (@t129)) % 0.37/0.62 (step @p120 :rule quant-merge-prenex :args ((= (forall @t21 @t131) @t129))) % 0.37/0.62 (step @p121 :rule alpha_equiv :args (@t132 (@list @t120) @t97)) % 0.37/0.62 (step @p122 :rule nary_cong :premises (@p79 @p121) :args (@t133)) % 0.37/0.62 (step @p123 :rule quant-miniscope-or :args ((= @t131 @t133))) % 0.37/0.62 (step @p124 :rule trans :premises (@p123 @p122)) % 0.37/0.62 (step @p125 :rule symm :premises (@p124)) % 0.37/0.62 (step @p126 :rule cong :premises (@p125) :args ((forall @t21 (or @t86 @t134)))) % 0.37/0.62 (step @p127 :rule trans :premises (@p126 @p120)) % 0.37/0.62 (step @p128 :rule trans :premises (@p127 @p119)) % 0.37/0.62 (step @p129 :rule bool-impl-elim :args (@t33 @t134)) % 0.37/0.62 (step @p130 :rule cong :premises (@p129) :args ((forall @t21 (=> @t33 @t134)))) % 0.37/0.62 (step @p131 :rule trans :premises (@p130 @p128)) % 0.37/0.62 (step @p132 :rule bool-impl-elim :args (@t28 @t63)) % 0.37/0.62 (step @p133 :rule cong :premises (@p132) :args (@t64)) % 0.37/0.62 (step @p134 :rule refl :args (@t33)) % 0.37/0.62 (step @p135 :rule cong :premises (@p134 @p133) :args (@t65)) % 0.37/0.62 (step @p136 :rule cong :premises (@p135) :args (@t66)) % 0.37/0.62 (step @p137 :rule trans :premises (@p136 @p131)) % 0.37/0.62 (step @p138 :rule cong :premises (@p70 @p137) :args (@t67)) % 0.37/0.62 (step @p139 :rule cong :premises (@p138) :args (@t68)) % 0.37/0.62 (step @p140 :rule trans :premises (@p139 @p117)) % 0.37/0.62 (step @p141 :rule cong :premises (@p140) :args (@t69)) % 0.37/0.62 (step @p142 :rule eq_resolve :premises (@p44 @p141)) % 0.37/0.62 (step @p143 :rule skolemize :premises (@p142)) % 0.37/0.62 (step @p144 :rule bool-double-not-elim :args (@t135)) % 0.37/0.62 (step @p145 :rule refl :args (@t144)) % 0.37/0.62 (step @p146 :rule nary_cong 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0.37/0.62 (step @p159 :rule cnf_or_neg :args (@t144 0)) % 0.37/0.62 (step @p160 :rule eq_resolve :premises (@p159 @p158)) % 0.37/0.62 (step @p161 :rule reordering :premises (@p160) :args ((or @t142 @t144))) % 0.37/0.62 (step @p162 :rule chain_m_resolution :premises (@p161 @p143) :args (@t142 @t145 @t146)) % 0.37/0.62 (step @p163 :rule cnf_or_pos :args (@t148)) % 0.37/0.62 (step @p164 :rule reordering :premises (@p163) :args ((or @t143 @t141 @t139 @t147 (not @t148)))) % 0.37/0.62 (step @p165 :rule chain_m_resolution :premises (@p164 @p162 @p156 @p150 @p103) :args (@t147 @t149 (@list @t142 @t140 @t135 @t148))) % 0.37/0.62 (step @p166 :rule aci_norm :args ((= @t155 (or @t153 @t152 @t151)))) % 0.37/0.62 (step @p167 :rule cong :premises (@p166) :args (@t156)) % 0.37/0.62 (step @p168 :rule quant-merge-prenex :args ((= (forall @t7 @t158) @t156))) % 0.37/0.62 (step @p169 :rule alpha_equiv :args (@t159 (@list @t150) @t84)) % 0.37/0.62 (step @p170 :rule refl :args (@t153)) % 0.37/0.62 (step @p171 :rule nary_cong :premises (@p170 @p169) :args (@t160)) % 0.37/0.62 (step @p172 :rule quant-miniscope-or :args ((= @t158 @t160))) % 0.37/0.62 (step @p173 :rule trans :premises (@p172 @p171)) % 0.37/0.62 (step @p174 :rule symm :premises (@p173)) % 0.37/0.62 (step @p175 :rule cong :premises (@p174) :args ((forall @t7 (or @t153 @t161)))) % 0.37/0.62 (step @p176 :rule trans :premises (@p175 @p168)) % 0.37/0.62 (step @p177 :rule trans :premises (@p176 @p167)) % 0.37/0.62 (step @p178 :rule bool-impl-elim :args (@t23 @t161)) % 0.37/0.62 (step @p179 :rule cong :premises (@p178) :args ((forall @t7 (=> @t23 @t161)))) % 0.37/0.62 (step @p180 :rule trans :premises (@p179 @p177)) % 0.37/0.62 (step @p181 :rule bool-impl-elim :args (@t20 @t19)) % 0.37/0.62 (step @p182 :rule cong :premises (@p181) :args (@t22)) % 0.37/0.62 (step @p183 :rule refl :args (@t23)) % 0.37/0.62 (step @p184 :rule cong :premises (@p183 @p182) :args (@t24)) % 0.37/0.62 (step @p185 :rule cong :premises (@p184) :args (@t25)) 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:premises (@p212 @p204)) % 0.37/0.62 (step @p214 :rule bool-impl-elim :args (@t33 @t187)) % 0.37/0.62 (step @p215 :rule cong :premises (@p214) :args ((forall @t21 (=> @t33 @t187)))) % 0.37/0.62 (step @p216 :rule trans :premises (@p215 @p213)) % 0.37/0.62 (step @p217 :rule bool-impl-elim :args (@t30 @t29)) % 0.37/0.62 (step @p218 :rule cong :premises (@p217) :args (@t32)) % 0.37/0.62 (step @p219 :rule cong :premises (@p134 @p218) :args (@t34)) % 0.37/0.62 (step @p220 :rule cong :premises (@p219) :args (@t35)) % 0.37/0.62 (step @p221 :rule trans :premises (@p220 @p216)) % 0.37/0.62 (step @p222 :rule cong :premises (@p70 @p221) :args (@t37)) % 0.37/0.62 (step @p223 :rule cong :premises (@p222) :args (@t38)) % 0.37/0.62 (step @p224 :rule trans :premises (@p223 @p202)) % 0.37/0.62 (step @p225 :rule eq_resolve :premises (@p7 @p224)) % 0.37/0.62 (step @p226 :rule instantiate :premises (@p225) :args (@t113)) % 0.37/0.62 (step @p227 :rule cnf_or_pos :args (@t192)) % 0.37/0.62 (step @p228 :rule reordering :premises (@p227) :args ((or @t143 @t141 @t191 @t190 (not @t192)))) % 0.37/0.62 (step @p229 :rule chain_m_resolution :premises (@p228 @p162 @p156 @p165 @p226) :args (@t190 @t149 (@list @t142 @t140 @t147 @t192))) % 0.37/0.62 (step @p230 :rule cnf_equiv_pos1 :args (@t190)) % 0.37/0.62 (step @p231 :rule reordering :premises (@p230) :args ((or @t139 @t189 (not @t190)))) % 0.37/0.62 (step @p232 :rule chain_m_resolution :premises (@p231 @p150 @p229) :args (@t189 (@list false false) (@list @t135 @t190))) % 0.37/0.62 (step @p233 :rule cnf_and_pos :args (@t189 0)) % 0.37/0.62 (step @p234 :rule reordering :premises (@p233) :args ((or @t188 (not @t189)))) % 0.37/0.62 (step @p235 :rule chain_m_resolution :premises (@p234 @p232) :args (@t188 (@list false) (@list @t189))) % 0.37/0.62 (step @p236 :rule cnf_or_neg :args (@t144 3)) % 0.37/0.62 (step @p237 :rule chain_m_resolution :premises (@p236 @p143) :args ((not @t138) @t145 @t146)) % 0.46/0.63 (step @p238 :rule cnf_and_pos :args (@t193 0)) % 0.46/0.63 (step @p239 :rule reordering :premises (@p238) :args ((or @t138 @t194))) % 0.46/0.63 (step @p240 :rule chain_m_resolution :premises (@p239 @p237) :args (@t194 @t145 (@list @t138))) % 0.46/0.63 (step @p241 :rule cnf_equiv_pos1 :args (@t195)) % 0.46/0.63 (step @p242 :rule reordering :premises (@p241) :args ((or @t193 (not @t188) @t196))) % 0.46/0.63 (step @p243 :rule chain_m_resolution :premises (@p242 @p240 @p235) :args (@t196 @t197 (@list @t193 @t188))) % 0.46/0.63 (step @p244 :rule instantiate :premises (@p74) :args ((@list @t112 @t111))) % 0.46/0.63 (step @p245 :rule cnf_or_pos :args (@t199)) % 0.46/0.63 (step @p246 :rule reordering :premises (@p245) :args ((or @t143 @t141 @t198 (not @t199)))) % 0.46/0.63 (step @p247 :rule chain_m_resolution :premises (@p246 @p162 @p156 @p244) :args (@t198 (@list false false false) (@list @t142 @t140 @t199))) % 0.46/0.63 (step @p248 :rule cnf_or_pos :args (@t203)) % 0.46/0.63 (step @p249 :rule reordering :premises (@p248) :args ((or @t202 @t201 @t195 (not @t203)))) % 0.46/0.63 (step @p250 :rule chain_m_resolution :premises (@p249 @p247 @p243 @p188) :args (@t201 @t204 (@list @t198 @t195 @t203))) % 0.46/0.63 (step @p251 :rule cnf_or_pos :args (@t205)) % 0.46/0.63 (step @p252 :rule reordering :premises (@p251) :args ((or @t143 @t200 @t191 @t206))) % 0.46/0.63 (step @p253 :rule chain_m_resolution :premises (@p252 @p162 @p250 @p165) :args (@t206 @t204 (@list @t142 @t200 @t147))) % 0.46/0.63 (assume-push @p260 @t207) % 0.46/0.63 (step @p255 :rule instantiate :premises (@p74) :args ((@list @t112 @t110))) % 0.46/0.63 (step-pop @p261 :rule scope :premises (@p255)) % 0.46/0.63 (step @p256 :rule process_scope :premises (@p261) :args (@t205)) % 0.46/0.63 (step @p258 :rule implies_elim :premises (@p256)) % 0.46/0.63 (step @p259 false :rule chain_m_resolution :premises (@p258 @p253 @p74) :args (false @t197 (@list @t205 @t207))) % 0.46/0.63 ) % 0.46/0.63 % SZS output end Proof % 0.46/0.63 % cvc5 exiting %------------------------------------------------------------------------------