%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET665+3 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:48:23 AM UTC 2026 % Result : Theorem 2.02s 2.23s % Output : Proof 2.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET665+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n028.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:06:20 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 2.02/2.23 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.02/2.23 % SZS status Theorem % 2.02/2.23 % SZS output start Proof % 2.02/2.23 ( % 2.02/2.23 (declare-sort $$unsorted 0) % 2.02/2.23 (declare-const tptp.empty (-> $$unsorted Bool)) % 2.02/2.23 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 2.02/2.23 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 2.02/2.23 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 2.02/2.23 (declare-const tptp.set_type $$unsorted) % 2.02/2.23 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 2.02/2.23 (declare-const tptp.identity_relation_of (-> $$unsorted $$unsorted)) % 2.02/2.23 (declare-const tptp.binary_relation_type $$unsorted) % 2.02/2.23 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 2.02/2.23 (declare-const tptp.subset_type (-> $$unsorted $$unsorted)) % 2.02/2.23 (declare-const tptp.relation_type (-> $$unsorted $$unsorted $$unsorted)) % 2.02/2.23 (declare-const tptp.relation_like (-> $$unsorted Bool)) % 2.02/2.23 (declare-const tptp.ilf_type (-> $$unsorted $$unsorted Bool)) % 2.02/2.23 (declare-const tptp.member_type (-> $$unsorted $$unsorted)) % 2.02/2.23 (define @t1 () (@var "C" $$unsorted)) % 2.02/2.23 (define @t2 () (@var "E" $$unsorted)) % 2.02/2.23 (define @t3 () (@var "D" $$unsorted)) % 2.02/2.23 (define @t4 () (tptp.ordered_pair @t3 @t2)) % 2.02/2.23 (define @t5 () (tptp.member @t4 @t1)) % 2.02/2.23 (define @t6 () (@var "B" $$unsorted)) % 2.02/2.23 (define @t7 () (tptp.member @t4 @t6)) % 2.02/2.23 (define @t8 () (=> @t7 @t5)) % 2.02/2.23 (define @t9 () (tptp.ilf_type @t2 tptp.set_type)) % 2.02/2.23 (define @t10 () (@list @t2)) % 2.02/2.23 (define @t11 () (forall @t10 (=> @t9 @t8))) % 2.02/2.23 (define @t12 () (tptp.ilf_type @t3 tptp.set_type)) % 2.02/2.23 (define @t13 () (=> @t12 @t11)) % 2.02/2.23 (define @t14 () (@list @t3)) % 2.02/2.23 (define @t15 () (forall @t14 @t13)) % 2.02/2.23 (define @t16 () (tptp.subset @t6 @t1)) % 2.02/2.23 (define @t17 () (= @t16 @t15)) % 2.02/2.23 (define @t18 () (tptp.ilf_type @t1 tptp.binary_relation_type)) % 2.02/2.23 (define @t19 () (=> @t18 @t17)) % 2.02/2.23 (define @t20 () (@list @t1)) % 2.02/2.23 (define @t21 () (forall @t20 @t19)) % 2.02/2.23 (define @t22 () (tptp.ilf_type @t6 tptp.binary_relation_type)) % 2.02/2.23 (define @t23 () (=> @t22 @t21)) % 2.02/2.23 (define @t24 () (@list @t6)) % 2.02/2.23 (define @t25 () (forall @t24 @t23)) % 2.02/2.23 (define @t26 () (tptp.member @t1 @t6)) % 2.02/2.23 (define @t27 () (tptp.identity_relation_of @t6)) % 2.02/2.23 (define @t28 () (= (tptp.member (tptp.ordered_pair @t1 @t3) @t27) (and @t26 (= @t1 @t3)))) % 2.02/2.23 (define @t29 () (forall @t14 (=> @t12 @t28))) % 2.02/2.23 (define @t30 () (tptp.ilf_type @t1 tptp.set_type)) % 2.02/2.23 (define @t31 () (=> @t30 @t29)) % 2.02/2.23 (define @t32 () (forall @t20 @t31)) % 2.02/2.23 (define @t33 () (tptp.ilf_type @t6 tptp.set_type)) % 2.02/2.23 (define @t34 () (=> @t33 @t32)) % 2.02/2.23 (define @t35 () (forall @t24 @t34)) % 2.02/2.23 (define @t36 () (tptp.member @t6 @t3)) % 2.02/2.23 (define @t37 () (tptp.ordered_pair @t6 @t1)) % 2.02/2.23 (define @t38 () (= (tptp.member @t37 (tptp.cross_product @t3 @t2)) (and @t36 (tptp.member @t1 @t2)))) % 2.02/2.23 (define @t39 () (forall @t10 (=> @t9 @t38))) % 2.02/2.23 (define @t40 () (=> @t12 @t39)) % 2.02/2.23 (define @t41 () (forall @t14 @t40)) % 2.02/2.23 (define @t42 () (=> @t30 @t41)) % 2.02/2.23 (define @t43 () (forall @t20 @t42)) % 2.02/2.23 (define @t44 () (=> @t33 @t43)) % 2.02/2.23 (define @t45 () (forall @t24 @t44)) % 2.02/2.23 (define @t46 () (tptp.relation_type @t6 @t1)) % 2.02/2.23 (define @t47 () (tptp.cross_product @t6 @t1)) % 2.02/2.23 (define @t48 () (tptp.ilf_type @t47 @t46)) % 2.02/2.23 (define @t49 () (forall @t20 (=> @t30 @t48))) % 2.02/2.23 (define @t50 () (=> @t33 @t49)) % 2.02/2.23 (define @t51 () (forall @t24 @t50)) % 2.02/2.23 (define @t52 () (@var "F" $$unsorted)) % 2.02/2.23 (define @t53 () (tptp.ilf_type @t47 tptp.set_type)) % 2.02/2.23 (define @t54 () (forall @t20 (=> @t30 @t53))) % 2.02/2.23 (define @t55 () (=> @t33 @t54)) % 2.02/2.23 (define @t56 () (forall @t24 @t55)) % 2.02/2.23 (define @t57 () (tptp.ilf_type @t27 tptp.binary_relation_type)) % 2.02/2.23 (define @t58 () (forall @t24 (=> @t33 @t57))) % 2.02/2.23 (define @t59 () (forall @t14 (=> @t12 (=> (tptp.member @t3 @t6) (tptp.member @t3 @t1))))) % 2.02/2.23 (define @t60 () (tptp.relation_like @t6)) % 2.02/2.23 (define @t61 () (= @t22 (and @t60 @t33))) % 2.02/2.23 (define @t62 () (forall @t24 (=> @t33 @t61))) % 2.02/2.23 (define @t63 () (tptp.subset_type @t47)) % 2.02/2.23 (define @t64 () (tptp.ilf_type @t2 @t63)) % 2.02/2.23 (define @t65 () (tptp.ilf_type @t2 @t46)) % 2.02/2.23 (define @t66 () (forall @t10 (=> @t65 @t64))) % 2.02/2.23 (define @t67 () (tptp.ilf_type @t3 @t46)) % 2.02/2.23 (define @t68 () (tptp.ilf_type @t3 @t63)) % 2.02/2.23 (define @t69 () (forall @t14 (=> @t68 @t67))) % 2.02/2.23 (define @t70 () (and @t69 @t66)) % 2.02/2.23 (define @t71 () (=> @t30 @t70)) % 2.02/2.23 (define @t72 () (forall @t20 @t71)) % 2.02/2.23 (define @t73 () (=> @t33 @t72)) % 2.02/2.23 (define @t74 () (forall @t24 @t73)) % 2.02/2.23 (define @t75 () (tptp.subset @t6 @t6)) % 2.02/2.23 (define @t76 () (tptp.power_set @t6)) % 2.02/2.23 (define @t77 () (tptp.ilf_type @t1 (tptp.subset_type @t6))) % 2.02/2.23 (define @t78 () (tptp.relation_like @t3)) % 2.02/2.23 (define @t79 () (forall @t14 (=> @t68 @t78))) % 2.02/2.23 (define @t80 () (=> @t30 @t79)) % 2.02/2.23 (define @t81 () (forall @t20 @t80)) % 2.02/2.23 (define @t82 () (=> @t33 @t81)) % 2.02/2.23 (define @t83 () (forall @t24 @t82)) % 2.02/2.23 (define @t84 () (tptp.empty @t6)) % 2.02/2.23 (define @t85 () (tptp.subset @t27 (tptp.cross_product @t6 @t6))) % 2.02/2.23 (define @t86 () (forall @t24 (=> @t33 @t85))) % 2.02/2.23 (define @t87 () (not @t86)) % 2.02/2.23 (define @t88 () (@var "BOUND_VARIABLE_7720" $$unsorted)) % 2.02/2.23 (define @t89 () (@var "BOUND_VARIABLE_7718" $$unsorted)) % 2.02/2.23 (define @t90 () (= (tptp.member (tptp.ordered_pair @t89 @t88) @t27) (and (tptp.member @t89 @t6) (= @t89 @t88)))) % 2.02/2.23 (define @t91 () (not (tptp.ilf_type @t88 tptp.set_type))) % 2.02/2.23 (define @t92 () (not (tptp.ilf_type @t89 tptp.set_type))) % 2.02/2.23 (define @t93 () (not @t33)) % 2.02/2.23 (define @t94 () (or @t92 @t91 @t90)) % 2.02/2.23 (define @t95 () (or @t93 @t94)) % 2.02/2.23 (define @t96 () (forall (@list @t6 @t89 @t88) @t95)) % 2.02/2.23 (define @t97 () (@list @t89 @t88)) % 2.02/2.23 (define @t98 () (forall @t97 @t95)) % 2.02/2.23 (define @t99 () (forall @t97 @t94)) % 2.02/2.23 (define @t100 () (@var "BOUND_VARIABLE_7698" $$unsorted)) % 2.02/2.23 (define @t101 () (or @t93 @t99)) % 2.02/2.23 (define @t102 () (= (tptp.member (tptp.ordered_pair @t1 @t100) @t27) (and @t26 (= @t1 @t100)))) % 2.02/2.23 (define @t103 () (not (tptp.ilf_type @t100 tptp.set_type))) % 2.02/2.23 (define @t104 () (not @t30)) % 2.02/2.23 (define @t105 () (or @t104 @t103 @t102)) % 2.02/2.23 (define @t106 () (@list @t1 @t100)) % 2.02/2.23 (define @t107 () (forall @t106 @t105)) % 2.02/2.23 (define @t108 () (or @t103 @t102)) % 2.02/2.23 (define @t109 () (or @t104 @t108)) % 2.02/2.23 (define @t110 () (forall @t106 @t109)) % 2.02/2.23 (define @t111 () (@list @t100)) % 2.02/2.23 (define @t112 () (forall @t111 @t109)) % 2.02/2.23 (define @t113 () (forall @t111 @t108)) % 2.02/2.23 (define @t114 () (@list @t3)) % 2.02/2.23 (define @t115 () (or @t104 @t113)) % 2.02/2.23 (define @t116 () (not @t12)) % 2.02/2.23 (define @t117 () (forall @t14 (or @t116 @t28))) % 2.02/2.23 (define @t118 () (@quantifiers_skolemize (forall @t24 (or @t93 @t85)) 0)) % 2.02/2.23 (define @t119 () (tptp.cross_product @t118 @t118)) % 2.02/2.23 (define @t120 () (@var "BOUND_VARIABLE_7650" $$unsorted)) % 2.02/2.23 (define @t121 () (tptp.ordered_pair @t3 @t120)) % 2.02/2.23 (define @t122 () (tptp.identity_relation_of @t118)) % 2.02/2.23 (define @t123 () (not (tptp.ilf_type @t120 tptp.set_type))) % 2.02/2.23 (define @t124 () (@list @t3 @t120)) % 2.02/2.23 (define @t125 () (forall @t124 (or @t116 @t123 (not (tptp.member @t121 @t122)) (tptp.member @t121 @t119)))) % 2.02/2.23 (define @t126 () (@quantifiers_skolemize @t125 1)) % 2.02/2.23 (define @t127 () (@quantifiers_skolemize @t125 0)) % 2.02/2.23 (define @t128 () (@var "BOUND_VARIABLE_7675" $$unsorted)) % 2.02/2.23 (define @t129 () (not (tptp.member @t121 @t6))) % 2.02/2.23 (define @t130 () (= (tptp.subset @t6 @t128) (forall @t124 (or @t116 @t123 @t129 (tptp.member @t121 @t128))))) % 2.02/2.23 (define @t131 () (not (tptp.ilf_type @t128 tptp.binary_relation_type))) % 2.02/2.23 (define @t132 () (not @t22)) % 2.02/2.23 (define @t133 () (or @t131 @t130)) % 2.02/2.23 (define @t134 () (or @t132 @t133)) % 2.02/2.23 (define @t135 () (forall (@list @t6 @t128) @t134)) % 2.02/2.23 (define @t136 () (@list @t128)) % 2.02/2.23 (define @t137 () (forall @t136 @t134)) % 2.02/2.23 (define @t138 () (forall @t136 @t133)) % 2.02/2.23 (define @t139 () (@list @t1)) % 2.02/2.23 (define @t140 () (or @t132 @t138)) % 2.02/2.23 (define @t141 () (tptp.member @t121 @t1)) % 2.02/2.23 (define @t142 () (or @t116 @t123 @t129 @t141)) % 2.02/2.23 (define @t143 () (= @t16 (forall @t124 @t142))) % 2.02/2.23 (define @t144 () (forall @t20 (or (not @t18) @t143))) % 2.02/2.23 (define @t145 () (or @t123 @t129 @t141)) % 2.02/2.23 (define @t146 () (or @t116 @t145)) % 2.02/2.23 (define @t147 () (forall @t124 @t146)) % 2.02/2.23 (define @t148 () (@list @t120)) % 2.02/2.23 (define @t149 () (forall @t148 @t146)) % 2.02/2.23 (define @t150 () (forall @t148 @t145)) % 2.02/2.23 (define @t151 () (@list @t2)) % 2.02/2.23 (define @t152 () (or @t116 @t150)) % 2.02/2.23 (define @t153 () (not @t7)) % 2.02/2.23 (define @t154 () (not @t9)) % 2.02/2.23 (define @t155 () (or @t154 @t153 @t5)) % 2.02/2.23 (define @t156 () (forall @t10 @t155)) % 2.02/2.23 (define @t157 () (@var "BOUND_VARIABLE_7938" $$unsorted)) % 2.02/2.23 (define @t158 () (tptp.ilf_type (tptp.cross_product @t6 @t157) tptp.set_type)) % 2.02/2.23 (define @t159 () (not (tptp.ilf_type @t157 tptp.set_type))) % 2.02/2.23 (define @t160 () (or @t159 @t158)) % 2.02/2.23 (define @t161 () (or @t93 @t160)) % 2.02/2.23 (define @t162 () (forall (@list @t6 @t157) @t161)) % 2.02/2.23 (define @t163 () (@list @t157)) % 2.02/2.23 (define @t164 () (forall @t163 @t161)) % 2.02/2.23 (define @t165 () (forall @t163 @t160)) % 2.02/2.23 (define @t166 () (or @t93 @t165)) % 2.02/2.23 (define @t167 () (forall @t20 (or @t104 @t53))) % 2.02/2.23 (define @t168 () (@list @t118 @t118)) % 2.02/2.23 (define @t169 () (tptp.ilf_type @t118 tptp.set_type)) % 2.02/2.23 (define @t170 () (tptp.subset @t122 @t119)) % 2.02/2.23 (define @t171 () (not @t169)) % 2.02/2.23 (define @t172 () (or @t171 @t170)) % 2.02/2.23 (define @t173 () (@list true)) % 2.02/2.23 (define @t174 () (@list @t172)) % 2.02/2.23 (define @t175 () (tptp.ilf_type @t119 tptp.set_type)) % 2.02/2.23 (define @t176 () (or @t171 @t171 @t175)) % 2.02/2.23 (define @t177 () (@list false false)) % 2.02/2.23 (define @t178 () (tptp.relation_like @t119)) % 2.02/2.23 (define @t179 () (and @t178 @t175)) % 2.02/2.23 (define @t180 () (tptp.ilf_type @t119 tptp.binary_relation_type)) % 2.02/2.23 (define @t181 () (= @t180 @t179)) % 2.02/2.23 (define @t182 () (not @t175)) % 2.02/2.23 (define @t183 () (or @t182 @t181)) % 2.02/2.23 (define @t184 () (@var "BOUND_VARIABLE_8190" $$unsorted)) % 2.02/2.23 (define @t185 () (tptp.relation_like @t184)) % 2.02/2.23 (define @t186 () (@var "BOUND_VARIABLE_8188" $$unsorted)) % 2.02/2.23 (define @t187 () (not (tptp.ilf_type @t184 (tptp.subset_type (tptp.cross_product @t6 @t186))))) % 2.02/2.23 (define @t188 () (not (tptp.ilf_type @t186 tptp.set_type))) % 2.02/2.23 (define @t189 () (or @t188 @t187 @t185)) % 2.02/2.23 (define @t190 () (or @t93 @t189)) % 2.02/2.23 (define @t191 () (forall (@list @t6 @t186 @t184) @t190)) % 2.02/2.23 (define @t192 () (@list @t186 @t184)) % 2.02/2.23 (define @t193 () (forall @t192 @t190)) % 2.02/2.23 (define @t194 () (forall @t192 @t189)) % 2.02/2.23 (define @t195 () (@var "BOUND_VARIABLE_8173" $$unsorted)) % 2.02/2.23 (define @t196 () (or @t93 @t194)) % 2.02/2.23 (define @t197 () (tptp.relation_like @t195)) % 2.02/2.23 (define @t198 () (not (tptp.ilf_type @t195 @t63))) % 2.02/2.23 (define @t199 () (or @t104 @t198 @t197)) % 2.02/2.23 (define @t200 () (@list @t1 @t195)) % 2.02/2.23 (define @t201 () (forall @t200 @t199)) % 2.02/2.23 (define @t202 () (or @t198 @t197)) % 2.02/2.23 (define @t203 () (or @t104 @t202)) % 2.02/2.23 (define @t204 () (forall @t200 @t203)) % 2.02/2.23 (define @t205 () (@list @t195)) % 2.02/2.23 (define @t206 () (forall @t205 @t203)) % 2.02/2.23 (define @t207 () (forall @t205 @t202)) % 2.02/2.23 (define @t208 () (or @t104 @t207)) % 2.02/2.23 (define @t209 () (not @t68)) % 2.02/2.23 (define @t210 () (forall @t14 (or @t209 @t78))) % 2.02/2.23 (define @t211 () (@var "BOUND_VARIABLE_8039" $$unsorted)) % 2.02/2.23 (define @t212 () (tptp.subset_type (tptp.cross_product @t6 @t211))) % 2.02/2.23 (define @t213 () (@var "BOUND_VARIABLE_8043" $$unsorted)) % 2.02/2.23 (define @t214 () (tptp.relation_type @t6 @t211)) % 2.02/2.23 (define @t215 () (@var "BOUND_VARIABLE_8041" $$unsorted)) % 2.02/2.23 (define @t216 () (and (or (not (tptp.ilf_type @t215 @t212)) (tptp.ilf_type @t215 @t214)) (or (not (tptp.ilf_type @t213 @t214)) (tptp.ilf_type @t213 @t212)))) % 2.02/2.23 (define @t217 () (not (tptp.ilf_type @t211 tptp.set_type))) % 2.02/2.23 (define @t218 () (or @t217 @t216)) % 2.02/2.23 (define @t219 () (or @t93 @t218)) % 2.02/2.23 (define @t220 () (forall (@list @t6 @t211 @t215 @t213) @t219)) % 2.02/2.23 (define @t221 () (@list @t211 @t215 @t213)) % 2.02/2.23 (define @t222 () (forall @t221 @t219)) % 2.02/2.23 (define @t223 () (forall @t221 @t218)) % 2.02/2.23 (define @t224 () (@var "BOUND_VARIABLE_8025" $$unsorted)) % 2.02/2.23 (define @t225 () (@var "BOUND_VARIABLE_8019" $$unsorted)) % 2.02/2.23 (define @t226 () (or @t93 @t223)) % 2.02/2.23 (define @t227 () (or (not (tptp.ilf_type @t224 @t46)) (tptp.ilf_type @t224 @t63))) % 2.02/2.23 (define @t228 () (or (not (tptp.ilf_type @t225 @t63)) (tptp.ilf_type @t225 @t46))) % 2.02/2.23 (define @t229 () (and @t228 @t227)) % 2.02/2.23 (define @t230 () (or @t104 @t229)) % 2.02/2.23 (define @t231 () (forall (@list @t1 @t225 @t224) @t230)) % 2.02/2.23 (define @t232 () (@list @t225 @t224)) % 2.02/2.23 (define @t233 () (forall @t232 @t230)) % 2.02/2.23 (define @t234 () (forall (@list @t224) @t227)) % 2.02/2.23 (define @t235 () (forall @t232 @t227)) % 2.02/2.23 (define @t236 () (forall (@list @t225) @t228)) % 2.02/2.23 (define @t237 () (forall @t232 @t228)) % 2.02/2.23 (define @t238 () (and @t237 @t235)) % 2.02/2.23 (define @t239 () (forall @t232 @t229)) % 2.02/2.23 (define @t240 () (or @t104 @t239)) % 2.02/2.23 (define @t241 () (and (forall @t14 (or @t209 @t67)) (forall @t10 (or (not @t65) @t64)))) % 2.02/2.23 (define @t242 () (tptp.subset_type @t119)) % 2.02/2.23 (define @t243 () (@quantifiers_skolemize (forall @t20 (not (tptp.ilf_type @t1 @t242))) 0)) % 2.02/2.23 (define @t244 () (tptp.ilf_type @t119 @t242)) % 2.02/2.23 (define @t245 () (tptp.relation_type @t118 @t118)) % 2.02/2.23 (define @t246 () (tptp.ilf_type @t119 @t245)) % 2.02/2.23 (define @t247 () (not @t246)) % 2.02/2.23 (define @t248 () (or @t247 @t244)) % 2.02/2.23 (define @t249 () (and (or (not (tptp.ilf_type @t243 @t242)) (tptp.ilf_type @t243 @t245)) @t248)) % 2.02/2.23 (define @t250 () (or @t171 @t171 @t249)) % 2.02/2.23 (define @t251 () (@list false)) % 2.02/2.23 (define @t252 () (@var "BOUND_VARIABLE_7820" $$unsorted)) % 2.02/2.23 (define @t253 () (tptp.ilf_type (tptp.cross_product @t6 @t252) (tptp.relation_type @t6 @t252))) % 2.02/2.23 (define @t254 () (not (tptp.ilf_type @t252 tptp.set_type))) % 2.02/2.23 (define @t255 () (or @t254 @t253)) % 2.02/2.23 (define @t256 () (or @t93 @t255)) % 2.02/2.23 (define @t257 () (forall (@list @t6 @t252) @t256)) % 2.02/2.23 (define @t258 () (@list @t252)) % 2.02/2.23 (define @t259 () (forall @t258 @t256)) % 2.02/2.23 (define @t260 () (forall @t258 @t255)) % 2.02/2.23 (define @t261 () (or @t93 @t260)) % 2.02/2.23 (define @t262 () (forall @t20 (or @t104 @t48))) % 2.02/2.23 (define @t263 () (or @t171 @t171 @t246)) % 2.02/2.23 (define @t264 () (not @t244)) % 2.02/2.23 (define @t265 () (or @t171 @t171 @t264 @t178)) % 2.02/2.23 (define @t266 () (@list false false false)) % 2.02/2.23 (define @t267 () (tptp.ilf_type @t122 tptp.binary_relation_type)) % 2.02/2.23 (define @t268 () (or @t171 @t267)) % 2.02/2.23 (define @t269 () (= @t170 @t125)) % 2.02/2.23 (define @t270 () (not @t180)) % 2.02/2.23 (define @t271 () (not @t267)) % 2.02/2.23 (define @t272 () (or @t271 @t270 @t269)) % 2.02/2.23 (define @t273 () (not @t125)) % 2.02/2.23 (define @t274 () (@list true false)) % 2.02/2.23 (define @t275 () (tptp.ilf_type @t126 tptp.set_type)) % 2.02/2.23 (define @t276 () (tptp.ordered_pair @t127 @t126)) % 2.02/2.23 (define @t277 () (tptp.member @t276 @t119)) % 2.02/2.23 (define @t278 () (tptp.member @t276 @t122)) % 2.02/2.23 (define @t279 () (not @t278)) % 2.02/2.23 (define @t280 () (not @t275)) % 2.02/2.23 (define @t281 () (tptp.ilf_type @t127 tptp.set_type)) % 2.02/2.23 (define @t282 () (not @t281)) % 2.02/2.23 (define @t283 () (or @t282 @t280 @t279 @t277)) % 2.02/2.23 (define @t284 () (@list @t283)) % 2.02/2.23 (define @t285 () (= @t127 @t126)) % 2.02/2.23 (define @t286 () (tptp.member @t127 @t118)) % 2.02/2.23 (define @t287 () (and @t286 @t285)) % 2.02/2.23 (define @t288 () (= @t278 @t287)) % 2.02/2.23 (define @t289 () (or @t171 @t282 @t280 @t288)) % 2.02/2.23 (define @t290 () (@list false false false false)) % 2.02/2.23 (define @t291 () (not @t287)) % 2.02/2.23 (define @t292 () (@list @t287)) % 2.02/2.23 (define @t293 () (@var "BOUND_VARIABLE_7792" $$unsorted)) % 2.02/2.23 (define @t294 () (@var "BOUND_VARIABLE_7788" $$unsorted)) % 2.02/2.23 (define @t295 () (@var "BOUND_VARIABLE_7790" $$unsorted)) % 2.02/2.23 (define @t296 () (= (tptp.member (tptp.ordered_pair @t6 @t294) (tptp.cross_product @t295 @t293)) (and (tptp.member @t6 @t295) (tptp.member @t294 @t293)))) % 2.02/2.23 (define @t297 () (not (tptp.ilf_type @t293 tptp.set_type))) % 2.02/2.23 (define @t298 () (not (tptp.ilf_type @t295 tptp.set_type))) % 2.02/2.23 (define @t299 () (not (tptp.ilf_type @t294 tptp.set_type))) % 2.02/2.23 (define @t300 () (or @t299 @t298 @t297 @t296)) % 2.02/2.23 (define @t301 () (or @t93 @t300)) % 2.02/2.23 (define @t302 () (forall (@list @t6 @t294 @t295 @t293) @t301)) % 2.02/2.23 (define @t303 () (@list @t294 @t295 @t293)) % 2.02/2.23 (define @t304 () (forall @t303 @t301)) % 2.02/2.23 (define @t305 () (forall @t303 @t300)) % 2.02/2.23 (define @t306 () (@var "BOUND_VARIABLE_7766" $$unsorted)) % 2.02/2.23 (define @t307 () (@var "BOUND_VARIABLE_7764" $$unsorted)) % 2.02/2.23 (define @t308 () (or @t93 @t305)) % 2.02/2.23 (define @t309 () (= (tptp.member @t37 (tptp.cross_product @t307 @t306)) (and (tptp.member @t6 @t307) (tptp.member @t1 @t306)))) % 2.02/2.23 (define @t310 () (not (tptp.ilf_type @t306 tptp.set_type))) % 2.02/2.23 (define @t311 () (not (tptp.ilf_type @t307 tptp.set_type))) % 2.02/2.23 (define @t312 () (or @t104 @t311 @t310 @t309)) % 2.02/2.23 (define @t313 () (@list @t1 @t307 @t306)) % 2.02/2.23 (define @t314 () (forall @t313 @t312)) % 2.02/2.23 (define @t315 () (or @t311 @t310 @t309)) % 2.02/2.23 (define @t316 () (or @t104 @t315)) % 2.02/2.23 (define @t317 () (forall @t313 @t316)) % 2.02/2.23 (define @t318 () (@list @t307 @t306)) % 2.02/2.23 (define @t319 () (forall @t318 @t316)) % 2.02/2.23 (define @t320 () (forall @t318 @t315)) % 2.02/2.23 (define @t321 () (@var "BOUND_VARIABLE_7745" $$unsorted)) % 2.02/2.23 (define @t322 () (or @t104 @t320)) % 2.02/2.23 (define @t323 () (= (tptp.member @t37 (tptp.cross_product @t3 @t321)) (and @t36 (tptp.member @t1 @t321)))) % 2.02/2.23 (define @t324 () (not (tptp.ilf_type @t321 tptp.set_type))) % 2.02/2.23 (define @t325 () (or @t116 @t324 @t323)) % 2.02/2.23 (define @t326 () (@list @t3 @t321)) % 2.02/2.23 (define @t327 () (forall @t326 @t325)) % 2.02/2.23 (define @t328 () (or @t324 @t323)) % 2.02/2.23 (define @t329 () (or @t116 @t328)) % 2.02/2.23 (define @t330 () (forall @t326 @t329)) % 2.02/2.23 (define @t331 () (@list @t321)) % 2.02/2.23 (define @t332 () (forall @t331 @t329)) % 2.02/2.23 (define @t333 () (forall @t331 @t328)) % 2.02/2.23 (define @t334 () (or @t116 @t333)) % 2.02/2.23 (define @t335 () (forall @t10 (or @t154 @t38))) % 2.02/2.23 (define @t336 () (tptp.member @t126 @t118)) % 2.02/2.23 (define @t337 () (and @t286 @t336)) % 2.02/2.23 (define @t338 () (= @t277 @t337)) % 2.02/2.23 (define @t339 () (or @t282 @t280 @t171 @t171 @t338)) % 2.02/2.23 (define @t340 () (not @t337)) % 2.02/2.23 (assume @p1 @t25) % 2.02/2.23 (assume @p2 @t35) % 2.02/2.23 (assume @p3 @t45) % 2.02/2.23 (assume @p4 @t51) % 2.02/2.23 (assume @p5 (forall @t24 (=> @t33 (forall @t20 (=> @t30 (forall @t14 (=> @t12 (= (tptp.member @t3 @t47) (exists @t10 (and @t9 (exists (@list @t52) (and (tptp.ilf_type @t52 tptp.set_type) (tptp.member @t2 @t6) (tptp.member @t52 @t1) (= @t3 (tptp.ordered_pair @t2 @t52)))))))))))))) % 2.02/2.23 (assume @p6 @t56) % 2.02/2.23 (assume @p7 @t58) % 2.02/2.23 (assume @p8 (forall @t24 (=> @t33 (forall @t20 (=> @t30 (= @t16 @t59)))))) % 2.02/2.23 (assume @p9 (forall @t24 (=> @t33 (forall @t20 (=> @t30 (tptp.ilf_type @t37 tptp.set_type)))))) % 2.02/2.23 (assume @p10 @t62) % 2.02/2.23 (assume @p11 (exists @t24 @t22)) % 2.02/2.23 (assume @p12 @t74) % 2.02/2.23 (assume @p13 (forall @t24 (=> @t33 (forall @t20 (=> @t30 (exists @t14 (tptp.ilf_type @t3 (tptp.relation_type @t1 @t6)))))))) % 2.02/2.23 (assume @p14 (forall @t24 (=> @t33 @t75))) % 2.02/2.23 (assume @p15 (forall @t24 (=> @t22 @t75))) % 2.02/2.23 (assume @p16 (forall @t24 (=> @t33 (forall @t20 (=> @t30 (= @t77 (tptp.ilf_type @t1 (tptp.member_type @t76)))))))) % 2.02/2.23 (assume @p17 (forall @t24 (=> @t33 (exists @t20 @t77)))) % 2.02/2.23 (assume @p18 (forall @t24 (=> @t33 (= @t60 (forall @t20 (=> @t30 (=> @t26 (exists @t14 (and @t12 (exists @t10 (and @t9 (= @t1 @t4)))))))))))) % 2.02/2.23 (assume @p19 @t83) % 2.02/2.23 (assume @p20 (forall @t24 (=> @t33 (forall @t20 (=> @t30 (= (tptp.member @t6 (tptp.power_set @t1)) @t59)))))) % 2.02/2.23 (assume @p21 (forall @t24 (=> @t33 (and (not (tptp.empty @t76)) (tptp.ilf_type @t76 tptp.set_type))))) % 2.02/2.23 (assume @p22 (forall @t24 (=> @t33 (forall @t20 (=> (and (not (tptp.empty @t1)) @t30) (= (tptp.ilf_type @t6 (tptp.member_type @t1)) (tptp.member @t6 @t1))))))) % 2.02/2.23 (assume @p23 (forall @t24 (=> (and (not @t84) @t33) (exists @t20 (tptp.ilf_type @t1 (tptp.member_type @t6)))))) % 2.02/2.23 (assume @p24 (forall @t24 (=> @t33 (= @t84 (forall @t20 (=> @t30 (not @t26))))))) % 2.02/2.23 (assume @p25 (forall @t24 (=> (and @t84 @t33) @t60))) % 2.02/2.23 (assume @p26 (forall @t24 @t33)) % 2.02/2.23 (assume @p27 @t87) % 2.02/2.23 (assume @p28 true) % 2.02/2.23 (step @p29 :rule aci_norm :args ((= @t95 (or @t93 @t92 @t91 @t90)))) % 2.02/2.23 (step @p30 :rule cong :premises (@p29) :args (@t96)) % 2.02/2.23 (step @p31 :rule quant-merge-prenex :args ((= (forall @t24 @t98) @t96))) % 2.02/2.23 (step @p32 :rule alpha_equiv :args (@t99 (@list @t89 @t88) (@list @t1 @t100))) % 2.02/2.23 (step @p33 :rule refl :args (@t93)) % 2.02/2.23 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t101)) % 2.02/2.23 (step @p35 :rule quant-miniscope-or :args ((= @t98 @t101))) % 2.02/2.23 (step @p36 :rule trans :premises (@p35 @p34)) % 2.02/2.23 (step @p37 :rule symm :premises (@p36)) % 2.02/2.23 (step @p38 :rule cong :premises (@p37) :args ((forall @t24 (or @t93 @t107)))) % 2.02/2.23 (step @p39 :rule trans :premises (@p38 @p31)) % 2.02/2.23 (step @p40 :rule trans :premises (@p39 @p30)) % 2.02/2.23 (step @p41 :rule bool-impl-elim :args (@t33 @t107)) % 2.02/2.23 (step @p42 :rule cong :premises (@p41) :args ((forall @t24 (=> @t33 @t107)))) % 2.02/2.23 (step @p43 :rule trans :premises (@p42 @p40)) % 2.02/2.23 (step @p44 :rule aci_norm :args ((= @t109 @t105))) % 2.02/2.23 (step @p45 :rule cong :premises (@p44) :args (@t110)) % 2.02/2.23 (step @p46 :rule quant-merge-prenex :args ((= (forall @t20 @t112) @t110))) % 2.02/2.23 (step @p47 :rule alpha_equiv :args (@t113 (@list @t100) @t114)) % 2.02/2.23 (step @p48 :rule refl :args (@t104)) % 2.02/2.23 (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t115)) % 2.02/2.23 (step @p50 :rule quant-miniscope-or :args ((= @t112 @t115))) % 2.02/2.23 (step @p51 :rule trans :premises (@p50 @p49)) % 2.02/2.23 (step @p52 :rule symm :premises (@p51)) % 2.02/2.23 (step @p53 :rule cong :premises (@p52) :args ((forall @t20 (or @t104 @t117)))) % 2.02/2.23 (step @p54 :rule trans :premises (@p53 @p46)) % 2.02/2.23 (step @p55 :rule trans :premises (@p54 @p45)) % 2.02/2.23 (step @p56 :rule bool-impl-elim :args (@t30 @t117)) % 2.02/2.23 (step @p57 :rule cong :premises (@p56) :args ((forall @t20 (=> @t30 @t117)))) % 2.02/2.23 (step @p58 :rule trans :premises (@p57 @p55)) % 2.02/2.23 (step @p59 :rule bool-impl-elim :args (@t12 @t28)) % 2.02/2.23 (step @p60 :rule cong :premises (@p59) :args (@t29)) % 2.02/2.23 (step @p61 :rule refl :args (@t30)) % 2.02/2.23 (step @p62 :rule cong :premises (@p61 @p60) :args (@t31)) % 2.02/2.23 (step @p63 :rule cong :premises (@p62) :args (@t32)) % 2.02/2.23 (step @p64 :rule trans :premises (@p63 @p58)) % 2.02/2.23 (step @p65 :rule refl :args (@t33)) % 2.02/2.23 (step @p66 :rule cong :premises (@p65 @p64) :args (@t34)) % 2.02/2.23 (step @p67 :rule cong :premises (@p66) :args (@t35)) % 2.02/2.23 (step @p68 :rule trans :premises (@p67 @p43)) % 2.02/2.23 (step @p69 :rule eq_resolve :premises (@p2 @p68)) % 2.02/2.23 (step @p70 :rule instantiate :premises (@p69) :args ((@list @t118 @t127 @t126))) % 2.02/2.23 (step @p71 :rule aci_norm :args ((= @t134 (or @t132 @t131 @t130)))) % 2.02/2.23 (step @p72 :rule cong :premises (@p71) :args (@t135)) % 2.02/2.23 (step @p73 :rule quant-merge-prenex :args ((= (forall @t24 @t137) @t135))) % 2.02/2.23 (step @p74 :rule alpha_equiv :args (@t138 (@list @t128) @t139)) % 2.02/2.23 (step @p75 :rule refl :args (@t132)) % 2.02/2.23 (step @p76 :rule nary_cong :premises (@p75 @p74) :args (@t140)) % 2.02/2.23 (step @p77 :rule quant-miniscope-or :args ((= @t137 @t140))) % 2.02/2.23 (step @p78 :rule trans :premises (@p77 @p76)) % 2.02/2.23 (step @p79 :rule symm :premises (@p78)) % 2.02/2.23 (step @p80 :rule cong :premises (@p79) :args ((forall @t24 (or @t132 @t144)))) % 2.02/2.23 (step @p81 :rule trans :premises (@p80 @p73)) % 2.02/2.23 (step @p82 :rule trans :premises (@p81 @p72)) % 2.02/2.23 (step @p83 :rule bool-impl-elim :args (@t22 @t144)) % 2.02/2.23 (step @p84 :rule cong :premises (@p83) :args ((forall @t24 (=> @t22 @t144)))) % 2.02/2.23 (step @p85 :rule trans :premises (@p84 @p82)) % 2.02/2.23 (step @p86 :rule bool-impl-elim :args (@t18 @t143)) % 2.02/2.23 (step @p87 :rule cong :premises (@p86) :args ((forall @t20 (=> @t18 @t143)))) % 2.02/2.23 (step @p88 :rule aci_norm :args ((= @t146 @t142))) % 2.02/2.23 (step @p89 :rule cong :premises (@p88) :args (@t147)) % 2.02/2.23 (step @p90 :rule quant-merge-prenex :args ((= (forall @t14 @t149) @t147))) % 2.02/2.23 (step @p91 :rule alpha_equiv :args (@t150 (@list @t120) @t151)) % 2.02/2.23 (step @p92 :rule refl :args (@t116)) % 2.02/2.23 (step @p93 :rule nary_cong :premises (@p92 @p91) :args (@t152)) % 2.02/2.23 (step @p94 :rule quant-miniscope-or :args ((= @t149 @t152))) % 2.02/2.23 (step @p95 :rule trans :premises (@p94 @p93)) % 2.02/2.23 (step @p96 :rule symm :premises (@p95)) % 2.02/2.23 (step @p97 :rule cong :premises (@p96) :args ((forall @t14 (or @t116 @t156)))) % 2.02/2.23 (step @p98 :rule trans :premises (@p97 @p90)) % 2.02/2.23 (step @p99 :rule trans :premises (@p98 @p89)) % 2.02/2.23 (step @p100 :rule bool-impl-elim :args (@t12 @t156)) % 2.02/2.23 (step @p101 :rule cong :premises (@p100) :args ((forall @t14 (=> @t12 @t156)))) % 2.02/2.23 (step @p102 :rule trans :premises (@p101 @p99)) % 2.02/2.23 (step @p103 :rule aci_norm :args ((= (or @t154 (or @t153 @t5)) @t155))) % 2.02/2.23 (step @p104 :rule bool-impl-elim :args (@t7 @t5)) % 2.02/2.23 (step @p105 :rule refl :args (@t154)) % 2.02/2.23 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or @t154 @t8))) % 2.02/2.23 (step @p107 :rule trans :premises (@p106 @p103)) % 2.02/2.23 (step @p108 :rule bool-impl-elim :args (@t9 @t8)) % 2.02/2.23 (step @p109 :rule trans :premises (@p108 @p107)) % 2.02/2.23 (step @p110 :rule cong :premises (@p109) :args (@t11)) % 2.02/2.23 (step @p111 :rule refl :args (@t12)) % 2.02/2.23 (step @p112 :rule cong :premises (@p111 @p110) :args (@t13)) % 2.02/2.23 (step @p113 :rule cong :premises (@p112) :args (@t15)) % 2.02/2.23 (step @p114 :rule trans :premises (@p113 @p102)) % 2.02/2.23 (step @p115 :rule refl :args (@t16)) % 2.02/2.23 (step @p116 :rule cong :premises (@p115 @p114) :args (@t17)) % 2.02/2.23 (step @p117 :rule refl :args (@t18)) % 2.02/2.23 (step @p118 :rule cong :premises (@p117 @p116) :args (@t19)) % 2.02/2.23 (step @p119 :rule cong :premises (@p118) :args (@t21)) % 2.02/2.23 (step @p120 :rule trans :premises (@p119 @p87)) % 2.02/2.23 (step @p121 :rule refl :args (@t22)) % 2.02/2.23 (step @p122 :rule cong :premises (@p121 @p120) :args (@t23)) % 2.02/2.23 (step @p123 :rule cong :premises (@p122) :args (@t25)) % 2.02/2.23 (step @p124 :rule trans :premises (@p123 @p85)) % 2.02/2.23 (step @p125 :rule eq_resolve :premises (@p1 @p124)) % 2.02/2.23 (step @p126 :rule instantiate :premises (@p125) :args ((@list @t122 @t119))) % 2.02/2.23 (step @p127 :rule bool-impl-elim :args (@t33 @t61)) % 2.02/2.23 (step @p128 :rule cong :premises (@p127) :args (@t62)) % 2.02/2.23 (step @p129 :rule eq_resolve :premises (@p10 @p128)) % 2.02/2.23 (step @p130 :rule instantiate :premises (@p129) :args ((@list @t119))) % 2.02/2.23 (step @p131 :rule aci_norm :args ((= @t161 (or @t93 @t159 @t158)))) % 2.02/2.23 (step @p132 :rule cong :premises (@p131) :args (@t162)) % 2.02/2.23 (step @p133 :rule quant-merge-prenex :args ((= (forall @t24 @t164) @t162))) % 2.02/2.23 (step @p134 :rule alpha_equiv :args (@t165 (@list @t157) @t139)) % 2.02/2.23 (step @p135 :rule nary_cong :premises (@p33 @p134) :args (@t166)) % 2.02/2.23 (step @p136 :rule quant-miniscope-or :args ((= @t164 @t166))) % 2.02/2.23 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(step @p347 :rule aci_norm :args ((= @t301 (or @t93 @t299 @t298 @t297 @t296)))) % 2.02/2.24 (step @p348 :rule cong :premises (@p347) :args (@t302)) % 2.02/2.24 (step @p349 :rule quant-merge-prenex :args ((= (forall @t24 @t304) @t302))) % 2.02/2.24 (step @p350 :rule alpha_equiv :args (@t305 (@list @t294 @t295 @t293) (@list @t1 @t307 @t306))) % 2.02/2.24 (step @p351 :rule nary_cong :premises (@p33 @p350) :args (@t308)) % 2.02/2.24 (step @p352 :rule quant-miniscope-or :args ((= @t304 @t308))) % 2.02/2.24 (step @p353 :rule trans :premises (@p352 @p351)) % 2.02/2.24 (step @p354 :rule symm :premises (@p353)) % 2.02/2.24 (step @p355 :rule cong :premises (@p354) :args ((forall @t24 (or @t93 @t314)))) % 2.02/2.24 (step @p356 :rule trans :premises (@p355 @p349)) % 2.02/2.24 (step @p357 :rule trans :premises (@p356 @p348)) % 2.02/2.24 (step @p358 :rule bool-impl-elim :args (@t33 @t314)) % 2.02/2.24 (step @p359 :rule cong :premises (@p358) :args ((forall @t24 (=> @t33 @t314)))) % 2.02/2.24 (step @p360 :rule trans :premises (@p359 @p357)) % 2.02/2.24 (step @p361 :rule aci_norm :args ((= @t316 @t312))) % 2.02/2.24 (step @p362 :rule cong :premises (@p361) :args (@t317)) % 2.02/2.24 (step @p363 :rule quant-merge-prenex :args ((= (forall @t20 @t319) @t317))) % 2.02/2.24 (step @p364 :rule alpha_equiv :args (@t320 (@list @t307 @t306) (@list @t3 @t321))) % 2.02/2.24 (step @p365 :rule nary_cong :premises (@p48 @p364) :args (@t322)) % 2.02/2.24 (step @p366 :rule quant-miniscope-or :args ((= @t319 @t322))) % 2.02/2.24 (step @p367 :rule trans :premises (@p366 @p365)) % 2.02/2.24 (step @p368 :rule symm :premises (@p367)) % 2.02/2.24 (step @p369 :rule cong :premises (@p368) :args ((forall @t20 (or @t104 @t327)))) % 2.02/2.24 (step @p370 :rule trans :premises (@p369 @p363)) % 2.02/2.24 (step @p371 :rule trans :premises (@p370 @p362)) % 2.02/2.24 (step @p372 :rule bool-impl-elim :args (@t30 @t327)) % 2.02/2.24 (step @p373 :rule cong :premises (@p372) :args ((forall @t20 (=> @t30 @t327)))) % 2.02/2.24 (step @p374 :rule trans :premises (@p373 @p371)) % 2.02/2.24 (step @p375 :rule aci_norm :args ((= @t329 @t325))) % 2.02/2.24 (step @p376 :rule cong :premises (@p375) :args (@t330)) % 2.02/2.24 (step @p377 :rule quant-merge-prenex :args ((= (forall @t14 @t332) @t330))) % 2.02/2.24 (step @p378 :rule alpha_equiv :args (@t333 (@list @t321) @t151)) % 2.02/2.24 (step @p379 :rule nary_cong :premises (@p92 @p378) :args (@t334)) % 2.02/2.24 (step @p380 :rule quant-miniscope-or :args ((= @t332 @t334))) % 2.02/2.24 (step @p381 :rule trans :premises (@p380 @p379)) % 2.02/2.24 (step @p382 :rule symm :premises (@p381)) % 2.02/2.24 (step @p383 :rule cong :premises (@p382) :args ((forall @t14 (or @t116 @t335)))) % 2.02/2.24 (step @p384 :rule trans :premises (@p383 @p377)) % 2.02/2.24 (step @p385 :rule trans :premises (@p384 @p376)) % 2.02/2.24 (step @p386 :rule bool-impl-elim :args (@t12 @t335)) % 2.02/2.24 (step @p387 :rule cong :premises (@p386) :args ((forall @t14 (=> @t12 @t335)))) % 2.02/2.24 (step @p388 :rule trans :premises (@p387 @p385)) % 2.02/2.24 (step @p389 :rule bool-impl-elim :args (@t9 @t38)) % 2.02/2.24 (step @p390 :rule cong :premises (@p389) :args (@t39)) % 2.02/2.24 (step @p391 :rule cong :premises (@p111 @p390) :args (@t40)) % 2.02/2.24 (step @p392 :rule cong :premises (@p391) :args (@t41)) % 2.02/2.24 (step @p393 :rule trans :premises (@p392 @p388)) % 2.02/2.24 (step @p394 :rule cong :premises (@p61 @p393) :args (@t42)) % 2.02/2.24 (step @p395 :rule cong :premises (@p394) :args (@t43)) % 2.02/2.24 (step @p396 :rule trans :premises (@p395 @p374)) % 2.02/2.24 (step @p397 :rule cong :premises (@p65 @p396) :args (@t44)) % 2.02/2.24 (step @p398 :rule cong :premises (@p397) :args (@t45)) % 2.02/2.24 (step @p399 :rule trans :premises (@p398 @p360)) % 2.02/2.24 (step @p400 :rule eq_resolve :premises (@p3 @p399)) % 2.02/2.24 (step @p401 :rule instantiate :premises (@p400) :args ((@list @t127 @t126 @t118 @t118))) % 2.02/2.24 (step @p402 :rule cnf_or_pos :args (@t339)) % 2.02/2.24 (step @p403 :rule factoring :premises (@p402)) % 2.02/2.24 (step @p404 :rule reordering :premises (@p403) :args ((or @t171 @t282 @t280 @t338 (not @t339)))) % 2.02/2.24 (step @p405 :rule chain_m_resolution :premises (@p404 @p163 @p328 @p322 @p401) :args (@t338 @t290 (@list @t169 @t281 @t275 @t339))) % 2.02/2.24 (step @p406 :rule cnf_or_neg :args (@t283 3)) % 2.02/2.24 (step @p407 :rule chain_m_resolution :premises (@p406 @p315) :args ((not @t277) @t173 @t284)) % 2.02/2.24 (step @p408 :rule cnf_equiv_pos2 :args (@t338)) % 2.02/2.24 (step @p409 :rule reordering :premises (@p408) :args ((or @t277 @t340 (not @t338)))) % 2.02/2.24 (step @p410 :rule chain_m_resolution :premises (@p409 @p407 @p405) :args (@t340 @t274 (@list @t277 @t338))) % 2.02/2.24 (step @p411 :rule cnf_and_neg :args (@t337)) % 2.02/2.24 (step @p412 :rule chain_m_resolution :premises (@p411 @p410 @p343) :args ((not @t336) @t274 (@list @t337 @t286))) % 2.02/2.24 (assume-push @p429 @t286) % 2.02/2.24 (assume-push @p430 @t285) % 2.02/2.24 (step @p415 :rule true_intro :premises (@p343)) % 2.02/2.24 (step @p416 :rule refl :args (@t118)) % 2.02/2.24 (step @p417 :rule symm :premises (@p346)) % 2.02/2.24 (step @p418 :rule cong :premises (@p417 @p416) :args (@t336)) % 2.02/2.24 (step @p419 :rule trans :premises (@p418 @p415)) % 2.02/2.24 (step @p420 :rule true_elim :premises (@p419)) % 2.02/2.24 (step-pop @p431 :rule scope :premises (@p420)) % 2.02/2.24 (step-pop @p432 :rule scope :premises (@p431)) % 2.02/2.24 (step @p421 :rule process_scope :premises (@p432) :args (@t336)) % 2.02/2.24 (step @p424 :rule implies_elim :premises (@p421)) % 2.02/2.24 (step @p425 :rule cnf_and_neg :args (@t287)) % 2.02/2.24 (step @p426 :rule resolution :premises (@p425 @p424) :args (true @t287)) % 2.02/2.24 (step @p427 :rule reordering :premises (@p426) :args ((or @t336 (not @t286) (not @t285)))) % 2.02/2.24 (step @p428 false :rule chain_m_resolution :premises (@p427 @p412 @p346 @p343) :args (false (@list true false false) (@list @t336 @t285 @t286))) % 2.02/2.24 ) % 2.02/2.24 % SZS output end Proof % 2.02/2.24 % cvc5 exiting %------------------------------------------------------------------------------