%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET641+3 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n010.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 08:48:21 AM UTC 2026 % Result : Theorem 16.62s 16.84s % Output : Proof 16.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET641+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n010.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 16:05:25 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 16.62/16.84 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.62/16.84 --- Run --no-e-matching --full-saturate-quant at 6... % 16.62/16.84 % SZS status Theorem % 16.62/16.84 % SZS output start Proof % 16.62/16.84 ( % 16.62/16.84 (declare-sort $$unsorted 0) % 16.62/16.84 (declare-const tptp.member_type (-> $$unsorted $$unsorted)) % 16.62/16.84 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 16.62/16.84 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 16.62/16.84 (declare-const tptp.relation_like (-> $$unsorted Bool)) % 16.62/16.84 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 16.62/16.84 (declare-const tptp.set_type $$unsorted) % 16.62/16.84 (declare-const tptp.relation_type (-> $$unsorted $$unsorted $$unsorted)) % 16.62/16.84 (declare-const tptp.ilf_type (-> $$unsorted $$unsorted Bool)) % 16.62/16.84 (declare-const tptp.subset_type (-> $$unsorted $$unsorted)) % 16.62/16.84 (declare-const tptp.empty (-> $$unsorted Bool)) % 16.62/16.84 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 16.62/16.84 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 16.62/16.84 (define @t1 () (@var "C" $$unsorted)) % 16.62/16.84 (define @t2 () (@var "B" $$unsorted)) % 16.62/16.84 (define @t3 () (tptp.cross_product @t2 @t1)) % 16.62/16.84 (define @t4 () (tptp.subset_type @t3)) % 16.62/16.84 (define @t5 () (@var "E" $$unsorted)) % 16.62/16.84 (define @t6 () (tptp.ilf_type @t5 @t4)) % 16.62/16.84 (define @t7 () (tptp.relation_type @t2 @t1)) % 16.62/16.84 (define @t8 () (tptp.ilf_type @t5 @t7)) % 16.62/16.84 (define @t9 () (@list @t5)) % 16.62/16.84 (define @t10 () (forall @t9 (=> @t8 @t6))) % 16.62/16.84 (define @t11 () (@var "D" $$unsorted)) % 16.62/16.84 (define @t12 () (tptp.ilf_type @t11 @t7)) % 16.62/16.84 (define @t13 () (tptp.ilf_type @t11 @t4)) % 16.62/16.84 (define @t14 () (@list @t11)) % 16.62/16.84 (define @t15 () (forall @t14 (=> @t13 @t12))) % 16.62/16.84 (define @t16 () (and @t15 @t10)) % 16.62/16.84 (define @t17 () (tptp.ilf_type @t1 tptp.set_type)) % 16.62/16.84 (define @t18 () (=> @t17 @t16)) % 16.62/16.84 (define @t19 () (@list @t1)) % 16.62/16.84 (define @t20 () (forall @t19 @t18)) % 16.62/16.84 (define @t21 () (tptp.ilf_type @t2 tptp.set_type)) % 16.62/16.84 (define @t22 () (=> @t21 @t20)) % 16.62/16.84 (define @t23 () (@list @t2)) % 16.62/16.84 (define @t24 () (forall @t23 @t22)) % 16.62/16.84 (define @t25 () (@var "F" $$unsorted)) % 16.62/16.84 (define @t26 () (tptp.ilf_type @t5 tptp.set_type)) % 16.62/16.84 (define @t27 () (tptp.ilf_type @t11 tptp.set_type)) % 16.62/16.84 (define @t28 () (tptp.member @t11 @t1)) % 16.62/16.84 (define @t29 () (tptp.member @t11 @t2)) % 16.62/16.84 (define @t30 () (=> @t29 @t28)) % 16.62/16.84 (define @t31 () (forall @t14 (=> @t27 @t30))) % 16.62/16.84 (define @t32 () (tptp.subset @t2 @t1)) % 16.62/16.84 (define @t33 () (= @t32 @t31)) % 16.62/16.84 (define @t34 () (=> @t17 @t33)) % 16.62/16.84 (define @t35 () (forall @t19 @t34)) % 16.62/16.84 (define @t36 () (=> @t21 @t35)) % 16.62/16.84 (define @t37 () (forall @t23 @t36)) % 16.62/16.84 (define @t38 () (tptp.power_set @t2)) % 16.62/16.84 (define @t39 () (tptp.member_type @t38)) % 16.62/16.84 (define @t40 () (tptp.subset_type @t2)) % 16.62/16.84 (define @t41 () (tptp.ilf_type @t1 @t40)) % 16.62/16.84 (define @t42 () (= @t41 (tptp.ilf_type @t1 @t39))) % 16.62/16.84 (define @t43 () (forall @t19 (=> @t17 @t42))) % 16.62/16.84 (define @t44 () (=> @t21 @t43)) % 16.62/16.84 (define @t45 () (forall @t23 @t44)) % 16.62/16.84 (define @t46 () (tptp.member @t2 (tptp.power_set @t1))) % 16.62/16.84 (define @t47 () (=> @t17 (= @t46 @t31))) % 16.62/16.84 (define @t48 () (forall @t19 @t47)) % 16.62/16.84 (define @t49 () (=> @t21 @t48)) % 16.62/16.84 (define @t50 () (forall @t23 @t49)) % 16.62/16.84 (define @t51 () (and (not (tptp.empty @t38)) (tptp.ilf_type @t38 tptp.set_type))) % 16.62/16.84 (define @t52 () (forall @t23 (=> @t21 @t51))) % 16.62/16.84 (define @t53 () (= (tptp.ilf_type @t2 (tptp.member_type @t1)) (tptp.member @t2 @t1))) % 16.62/16.84 (define @t54 () (tptp.empty @t1)) % 16.62/16.84 (define @t55 () (not @t54)) % 16.62/16.84 (define @t56 () (and @t55 @t17)) % 16.62/16.84 (define @t57 () (forall @t19 (=> @t56 @t53))) % 16.62/16.84 (define @t58 () (=> @t21 @t57)) % 16.62/16.84 (define @t59 () (forall @t23 @t58)) % 16.62/16.84 (define @t60 () (tptp.empty @t2)) % 16.62/16.84 (define @t61 () (tptp.member @t1 @t2)) % 16.62/16.84 (define @t62 () (tptp.relation_like @t2)) % 16.62/16.84 (define @t63 () (tptp.ilf_type @t2 (tptp.relation_type @t1 @t11))) % 16.62/16.84 (define @t64 () (tptp.subset @t2 (tptp.cross_product @t1 @t11))) % 16.62/16.84 (define @t65 () (=> @t64 @t63)) % 16.62/16.84 (define @t66 () (forall @t14 (=> @t27 @t65))) % 16.62/16.84 (define @t67 () (=> @t17 @t66)) % 16.62/16.84 (define @t68 () (forall @t19 @t67)) % 16.62/16.84 (define @t69 () (=> @t21 @t68)) % 16.62/16.84 (define @t70 () (forall @t23 @t69)) % 16.62/16.84 (define @t71 () (not @t70)) % 16.62/16.84 (define @t72 () (@var "BOUND_VARIABLE_8061" $$unsorted)) % 16.62/16.84 (define @t73 () (@var "BOUND_VARIABLE_8059" $$unsorted)) % 16.62/16.84 (define @t74 () (tptp.ilf_type @t2 (tptp.relation_type @t73 @t72))) % 16.62/16.84 (define @t75 () (not (tptp.subset @t2 (tptp.cross_product @t73 @t72)))) % 16.62/16.84 (define @t76 () (not (tptp.ilf_type @t72 tptp.set_type))) % 16.62/16.84 (define @t77 () (not (tptp.ilf_type @t73 tptp.set_type))) % 16.62/16.84 (define @t78 () (not @t21)) % 16.62/16.84 (define @t79 () (or @t78 @t77 @t76 @t75 @t74)) % 16.62/16.84 (define @t80 () (or @t77 @t76 @t75 @t74)) % 16.62/16.84 (define @t81 () (or @t78 @t80)) % 16.62/16.84 (define @t82 () (@list @t2 @t73 @t72)) % 16.62/16.84 (define @t83 () (forall @t82 @t81)) % 16.62/16.84 (define @t84 () (@list @t73 @t72)) % 16.62/16.84 (define @t85 () (forall @t84 @t81)) % 16.62/16.84 (define @t86 () (forall @t84 @t80)) % 16.62/16.84 (define @t87 () (@var "BOUND_VARIABLE_8040" $$unsorted)) % 16.62/16.84 (define @t88 () (or @t78 @t86)) % 16.62/16.84 (define @t89 () (tptp.ilf_type @t2 (tptp.relation_type @t1 @t87))) % 16.62/16.84 (define @t90 () (not (tptp.subset @t2 (tptp.cross_product @t1 @t87)))) % 16.62/16.84 (define @t91 () (not (tptp.ilf_type @t87 tptp.set_type))) % 16.62/16.84 (define @t92 () (not @t17)) % 16.62/16.84 (define @t93 () (or @t92 @t91 @t90 @t89)) % 16.62/16.84 (define @t94 () (@list @t1 @t87)) % 16.62/16.84 (define @t95 () (forall @t94 @t93)) % 16.62/16.84 (define @t96 () (or @t91 @t90 @t89)) % 16.62/16.84 (define @t97 () (or @t92 @t96)) % 16.62/16.84 (define @t98 () (forall @t94 @t97)) % 16.62/16.84 (define @t99 () (@list @t87)) % 16.62/16.84 (define @t100 () (forall @t99 @t97)) % 16.62/16.84 (define @t101 () (forall @t99 @t96)) % 16.62/16.84 (define @t102 () (@list @t11)) % 16.62/16.84 (define @t103 () (or @t92 @t101)) % 16.62/16.84 (define @t104 () (not @t64)) % 16.62/16.84 (define @t105 () (not @t27)) % 16.62/16.84 (define @t106 () (or @t105 @t104 @t63)) % 16.62/16.84 (define @t107 () (forall @t14 @t106)) % 16.62/16.84 (define @t108 () (forall @t82 @t79)) % 16.62/16.84 (define @t109 () (@quantifiers_skolemize @t108 0)) % 16.62/16.84 (define @t110 () (tptp.ilf_type @t109 tptp.set_type)) % 16.62/16.84 (define @t111 () (@quantifiers_skolemize @t108 2)) % 16.62/16.84 (define @t112 () (@quantifiers_skolemize @t108 1)) % 16.62/16.84 (define @t113 () (tptp.relation_type @t112 @t111)) % 16.62/16.84 (define @t114 () (tptp.ilf_type @t109 @t113)) % 16.62/16.84 (define @t115 () (tptp.cross_product @t112 @t111)) % 16.62/16.84 (define @t116 () (tptp.subset @t109 @t115)) % 16.62/16.84 (define @t117 () (not @t116)) % 16.62/16.84 (define @t118 () (tptp.ilf_type @t111 tptp.set_type)) % 16.62/16.84 (define @t119 () (not @t118)) % 16.62/16.84 (define @t120 () (tptp.ilf_type @t112 tptp.set_type)) % 16.62/16.84 (define @t121 () (not @t120)) % 16.62/16.84 (define @t122 () (not @t110)) % 16.62/16.84 (define @t123 () (or @t122 @t121 @t119 @t117 @t114)) % 16.62/16.84 (define @t124 () (@list true)) % 16.62/16.84 (define @t125 () (@list @t123)) % 16.62/16.84 (define @t126 () (@list @t115)) % 16.62/16.84 (define @t127 () (tptp.power_set @t115)) % 16.62/16.84 (define @t128 () (tptp.ilf_type @t127 tptp.set_type)) % 16.62/16.84 (define @t129 () (tptp.empty @t127)) % 16.62/16.84 (define @t130 () (not @t129)) % 16.62/16.84 (define @t131 () (and @t130 @t128)) % 16.62/16.84 (define @t132 () (tptp.ilf_type @t115 tptp.set_type)) % 16.62/16.84 (define @t133 () (not @t132)) % 16.62/16.84 (define @t134 () (or @t133 @t131)) % 16.62/16.84 (define @t135 () (@list false false)) % 16.62/16.84 (define @t136 () (not @t131)) % 16.62/16.84 (define @t137 () (@list false)) % 16.62/16.84 (define @t138 () (@list @t131)) % 16.62/16.84 (define @t139 () (@var "BOUND_VARIABLE_7850" $$unsorted)) % 16.62/16.84 (define @t140 () (= (tptp.ilf_type @t139 @t40) (tptp.ilf_type @t139 @t39))) % 16.62/16.84 (define @t141 () (not (tptp.ilf_type @t139 tptp.set_type))) % 16.62/16.84 (define @t142 () (or @t141 @t140)) % 16.62/16.84 (define @t143 () (or @t78 @t142)) % 16.62/16.84 (define @t144 () (forall (@list @t2 @t139) @t143)) % 16.62/16.84 (define @t145 () (@list @t139)) % 16.62/16.84 (define @t146 () (forall @t145 @t143)) % 16.62/16.84 (define @t147 () (forall @t145 @t142)) % 16.62/16.84 (define @t148 () (@list @t1)) % 16.62/16.84 (define @t149 () (or @t78 @t147)) % 16.62/16.84 (define @t150 () (forall @t19 (or @t92 @t42))) % 16.62/16.84 (define @t151 () (tptp.ilf_type @t109 (tptp.member_type @t127))) % 16.62/16.84 (define @t152 () (tptp.subset_type @t115)) % 16.62/16.84 (define @t153 () (tptp.ilf_type @t109 @t152)) % 16.62/16.84 (define @t154 () (= @t153 @t151)) % 16.62/16.84 (define @t155 () (or @t133 @t122 @t154)) % 16.62/16.84 (define @t156 () (@list false false false)) % 16.62/16.84 (define @t157 () (@var "BOUND_VARIABLE_7623" $$unsorted)) % 16.62/16.84 (define @t158 () (tptp.subset_type (tptp.cross_product @t2 @t157))) % 16.62/16.84 (define @t159 () (@var "BOUND_VARIABLE_7627" $$unsorted)) % 16.62/16.84 (define @t160 () (tptp.relation_type @t2 @t157)) % 16.62/16.84 (define @t161 () (@var "BOUND_VARIABLE_7625" $$unsorted)) % 16.62/16.84 (define @t162 () (and (or (not (tptp.ilf_type @t161 @t158)) (tptp.ilf_type @t161 @t160)) (or (not (tptp.ilf_type @t159 @t160)) (tptp.ilf_type @t159 @t158)))) % 16.62/16.84 (define @t163 () (not (tptp.ilf_type @t157 tptp.set_type))) % 16.62/16.84 (define @t164 () (or @t163 @t162)) % 16.62/16.84 (define @t165 () (or @t78 @t164)) % 16.62/16.84 (define @t166 () (forall (@list @t2 @t157 @t161 @t159) @t165)) % 16.62/16.84 (define @t167 () (@list @t157 @t161 @t159)) % 16.62/16.84 (define @t168 () (forall @t167 @t165)) % 16.62/16.84 (define @t169 () (forall @t167 @t164)) % 16.62/16.84 (define @t170 () (@var "BOUND_VARIABLE_7608" $$unsorted)) % 16.62/16.84 (define @t171 () (@var "BOUND_VARIABLE_7602" $$unsorted)) % 16.62/16.84 (define @t172 () (or @t78 @t169)) % 16.62/16.84 (define @t173 () (or (not (tptp.ilf_type @t170 @t7)) (tptp.ilf_type @t170 @t4))) % 16.62/16.84 (define @t174 () (or (not (tptp.ilf_type @t171 @t4)) (tptp.ilf_type @t171 @t7))) % 16.62/16.84 (define @t175 () (and @t174 @t173)) % 16.62/16.84 (define @t176 () (or @t92 @t175)) % 16.62/16.84 (define @t177 () (forall (@list @t1 @t171 @t170) @t176)) % 16.62/16.84 (define @t178 () (@list @t171 @t170)) % 16.62/16.84 (define @t179 () (forall @t178 @t176)) % 16.62/16.84 (define @t180 () (forall (@list @t170) @t173)) % 16.62/16.84 (define @t181 () (forall @t178 @t173)) % 16.62/16.84 (define @t182 () (forall (@list @t171) @t174)) % 16.62/16.84 (define @t183 () (forall @t178 @t174)) % 16.62/16.84 (define @t184 () (and @t183 @t181)) % 16.62/16.84 (define @t185 () (forall @t178 @t175)) % 16.62/16.84 (define @t186 () (or @t92 @t185)) % 16.62/16.84 (define @t187 () (and (forall @t14 (or (not @t13) @t12)) (forall @t9 (or (not @t8) @t6)))) % 16.62/16.84 (define @t188 () (not @t153)) % 16.62/16.84 (define @t189 () (or @t188 @t114)) % 16.62/16.84 (define @t190 () (and @t189 (or (not (tptp.ilf_type tptp.set_type @t113)) (tptp.ilf_type tptp.set_type @t152)))) % 16.62/16.84 (define @t191 () (or @t121 @t119 @t190)) % 16.62/16.84 (define @t192 () (@list true false)) % 16.62/16.84 (define @t193 () (not @t151)) % 16.62/16.84 (define @t194 () (@var "BOUND_VARIABLE_7886" $$unsorted)) % 16.62/16.84 (define @t195 () (not @t29)) % 16.62/16.84 (define @t196 () (= (tptp.member @t2 (tptp.power_set @t194)) (forall @t14 (or @t105 @t195 (tptp.member @t11 @t194))))) % 16.62/16.84 (define @t197 () (not (tptp.ilf_type @t194 tptp.set_type))) % 16.62/16.84 (define @t198 () (or @t78 @t197 @t196)) % 16.62/16.84 (define @t199 () (or @t197 @t196)) % 16.62/16.84 (define @t200 () (or @t78 @t199)) % 16.62/16.84 (define @t201 () (@list @t2 @t194)) % 16.62/16.84 (define @t202 () (forall @t201 @t200)) % 16.62/16.84 (define @t203 () (@list @t194)) % 16.62/16.84 (define @t204 () (forall @t203 @t200)) % 16.62/16.84 (define @t205 () (forall @t203 @t199)) % 16.62/16.84 (define @t206 () (or @t78 @t205)) % 16.62/16.84 (define @t207 () (or @t105 @t195 @t28)) % 16.62/16.84 (define @t208 () (forall @t14 @t207)) % 16.62/16.84 (define @t209 () (= @t46 @t208)) % 16.62/16.84 (define @t210 () (forall @t19 (or @t92 @t209))) % 16.62/16.84 (define @t211 () (tptp.member @t109 @t127)) % 16.62/16.84 (define @t212 () (forall @t14 (or @t105 (not (tptp.member @t11 @t109)) (tptp.member @t11 @t115)))) % 16.62/16.84 (define @t213 () (or @t122 @t133 (= @t211 @t212))) % 16.62/16.84 (define @t214 () (forall @t201 @t198)) % 16.62/16.84 (define @t215 () (@list @t109 @t115)) % 16.62/16.84 (define @t216 () (= @t212 @t211)) % 16.62/16.84 (define @t217 () (or @t122 @t133 @t216)) % 16.62/16.84 (define @t218 () (@var "BOUND_VARIABLE_7809" $$unsorted)) % 16.62/16.84 (define @t219 () (= (tptp.subset @t2 @t218) (forall @t14 (or @t105 @t195 (tptp.member @t11 @t218))))) % 16.62/16.84 (define @t220 () (not (tptp.ilf_type @t218 tptp.set_type))) % 16.62/16.84 (define @t221 () (or @t220 @t219)) % 16.62/16.84 (define @t222 () (or @t78 @t221)) % 16.62/16.84 (define @t223 () (forall (@list @t2 @t218) @t222)) % 16.62/16.84 (define @t224 () (@list @t218)) % 16.62/16.84 (define @t225 () (forall @t224 @t222)) % 16.62/16.84 (define @t226 () (forall @t224 @t221)) % 16.62/16.84 (define @t227 () (or @t78 @t226)) % 16.62/16.84 (define @t228 () (= @t32 @t208)) % 16.62/16.84 (define @t229 () (forall @t19 (or @t92 @t228))) % 16.62/16.84 (define @t230 () (= @t116 @t212)) % 16.62/16.84 (define @t231 () (or @t122 @t133 @t230)) % 16.62/16.84 (define @t232 () (= @t211 @t151)) % 16.62/16.84 (define @t233 () (not @t232)) % 16.62/16.84 (define @t234 () (@var "BOUND_VARIABLE_7914" $$unsorted)) % 16.62/16.84 (define @t235 () (= (tptp.ilf_type @t2 (tptp.member_type @t234)) (tptp.member @t2 @t234))) % 16.62/16.84 (define @t236 () (not (tptp.ilf_type @t234 tptp.set_type))) % 16.62/16.84 (define @t237 () (tptp.empty @t234)) % 16.62/16.84 (define @t238 () (or @t78 @t237 @t236 @t235)) % 16.62/16.84 (define @t239 () (or @t237 @t236 @t235)) % 16.62/16.84 (define @t240 () (or @t78 @t239)) % 16.62/16.84 (define @t241 () (@list @t2 @t234)) % 16.62/16.84 (define @t242 () (forall @t241 @t240)) % 16.62/16.84 (define @t243 () (@list @t234)) % 16.62/16.84 (define @t244 () (forall @t243 @t240)) % 16.62/16.84 (define @t245 () (forall @t243 @t239)) % 16.62/16.84 (define @t246 () (or @t78 @t245)) % 16.62/16.84 (define @t247 () (or @t54 @t92 @t53)) % 16.62/16.84 (define @t248 () (forall @t19 @t247)) % 16.62/16.84 (define @t249 () (not @t128)) % 16.62/16.84 (define @t250 () (or @t122 @t129 @t249 (= @t151 @t211))) % 16.62/16.84 (define @t251 () (forall @t241 @t238)) % 16.62/16.84 (define @t252 () (or @t122 @t129 @t249 @t232)) % 16.62/16.84 (assume @p1 @t24) % 16.62/16.84 (assume @p2 (forall @t23 (=> @t21 (forall @t19 (=> @t17 (exists @t14 (tptp.ilf_type @t11 (tptp.relation_type @t1 @t2)))))))) % 16.62/16.84 (assume @p3 (forall @t23 (=> @t21 (forall @t19 (=> @t17 (forall @t14 (=> @t27 (= (tptp.member @t11 @t3) (exists @t9 (and @t26 (exists (@list @t25) (and (tptp.ilf_type @t25 tptp.set_type) (tptp.member @t5 @t2) (tptp.member @t25 @t1) (= @t11 (tptp.ordered_pair @t5 @t25)))))))))))))) % 16.62/16.84 (assume @p4 (forall @t23 (=> @t21 (forall @t19 (=> @t17 (tptp.ilf_type @t3 tptp.set_type)))))) % 16.62/16.84 (assume @p5 @t37) % 16.62/16.84 (assume @p6 (forall @t23 (=> @t21 (forall @t19 (=> @t17 (tptp.ilf_type (tptp.ordered_pair @t2 @t1) tptp.set_type)))))) % 16.62/16.84 (assume @p7 @t45) % 16.62/16.84 (assume @p8 (forall @t23 (=> @t21 (exists @t19 @t41)))) % 16.62/16.84 (assume @p9 (forall @t23 (=> @t21 (tptp.subset @t2 @t2)))) % 16.62/16.84 (assume @p10 @t50) % 16.62/16.84 (assume @p11 @t52) % 16.62/16.84 (assume @p12 @t59) % 16.62/16.84 (assume @p13 (forall @t23 (=> (and (not @t60) @t21) (exists @t19 (tptp.ilf_type @t1 (tptp.member_type @t2)))))) % 16.62/16.84 (assume @p14 (forall @t23 (=> @t21 (= @t60 (forall @t19 (=> @t17 (not @t61))))))) % 16.62/16.84 (assume @p15 (forall @t23 (=> @t21 (= @t62 (forall @t19 (=> @t17 (=> @t61 (exists @t14 (and @t27 (exists @t9 (and @t26 (= @t1 (tptp.ordered_pair @t11 @t5))))))))))))) % 16.62/16.84 (assume @p16 (forall @t23 (=> (and @t60 @t21) @t62))) % 16.62/16.84 (assume @p17 (forall @t23 (=> @t21 (forall @t19 (=> @t17 (forall @t14 (=> @t13 (tptp.relation_like @t11)))))))) % 16.62/16.84 (assume @p18 (forall @t23 @t21)) % 16.62/16.84 (assume @p19 @t71) % 16.62/16.84 (assume @p20 true) % 16.62/16.84 (step @p21 :rule aci_norm :args ((= @t81 @t79))) % 16.62/16.84 (step @p22 :rule cong :premises (@p21) :args (@t83)) % 16.62/16.84 (step @p23 :rule quant-merge-prenex :args ((= (forall @t23 @t85) @t83))) % 16.62/16.84 (step @p24 :rule alpha_equiv :args (@t86 (@list @t73 @t72) (@list @t1 @t87))) % 16.62/16.84 (step @p25 :rule refl :args (@t78)) % 16.62/16.84 (step @p26 :rule nary_cong :premises (@p25 @p24) :args (@t88)) % 16.62/16.84 (step @p27 :rule quant-miniscope-or :args ((= @t85 @t88))) % 16.62/16.84 (step @p28 :rule trans :premises (@p27 @p26)) % 16.62/16.84 (step @p29 :rule symm :premises (@p28)) % 16.62/16.84 (step @p30 :rule cong :premises (@p29) :args ((forall @t23 (or @t78 @t95)))) % 16.62/16.84 (step @p31 :rule trans :premises (@p30 @p23)) % 16.62/16.84 (step @p32 :rule trans :premises (@p31 @p22)) % 16.62/16.84 (step @p33 :rule bool-impl-elim :args (@t21 @t95)) % 16.62/16.84 (step @p34 :rule cong :premises (@p33) :args ((forall @t23 (=> @t21 @t95)))) % 16.62/16.84 (step @p35 :rule trans :premises (@p34 @p32)) % 16.62/16.84 (step @p36 :rule aci_norm :args ((= @t97 @t93))) % 16.62/16.84 (step @p37 :rule cong :premises (@p36) :args (@t98)) % 16.62/16.84 (step @p38 :rule quant-merge-prenex :args ((= (forall @t19 @t100) @t98))) % 16.62/16.84 (step @p39 :rule alpha_equiv :args (@t101 (@list @t87) @t102)) % 16.62/16.84 (step @p40 :rule refl :args (@t92)) % 16.62/16.84 (step @p41 :rule nary_cong :premises (@p40 @p39) :args (@t103)) % 16.62/16.84 (step @p42 :rule quant-miniscope-or :args ((= @t100 @t103))) % 16.62/16.84 (step @p43 :rule trans :premises (@p42 @p41)) % 16.62/16.84 (step @p44 :rule symm :premises (@p43)) % 16.62/16.84 (step @p45 :rule cong :premises (@p44) :args ((forall @t19 (or @t92 @t107)))) % 16.62/16.84 (step @p46 :rule trans :premises (@p45 @p38)) % 16.62/16.84 (step @p47 :rule trans :premises (@p46 @p37)) % 16.62/16.84 (step @p48 :rule bool-impl-elim :args (@t17 @t107)) % 16.62/16.84 (step @p49 :rule cong :premises (@p48) :args ((forall @t19 (=> @t17 @t107)))) % 16.62/16.84 (step @p50 :rule trans :premises (@p49 @p47)) % 16.62/16.84 (step @p51 :rule aci_norm :args ((= (or @t105 (or @t104 @t63)) @t106))) % 16.62/16.84 (step @p52 :rule bool-impl-elim :args (@t64 @t63)) % 16.62/16.84 (step @p53 :rule refl :args (@t105)) % 16.62/16.84 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or @t105 @t65))) % 16.62/16.84 (step @p55 :rule trans :premises (@p54 @p51)) % 16.62/16.84 (step @p56 :rule bool-impl-elim :args (@t27 @t65)) % 16.62/16.84 (step @p57 :rule trans :premises (@p56 @p55)) % 16.62/16.84 (step @p58 :rule cong :premises (@p57) :args (@t66)) % 16.62/16.84 (step @p59 :rule refl :args (@t17)) % 16.62/16.84 (step @p60 :rule cong :premises (@p59 @p58) :args (@t67)) % 16.62/16.84 (step @p61 :rule cong :premises (@p60) :args (@t68)) % 16.62/16.84 (step @p62 :rule trans :premises (@p61 @p50)) % 16.62/16.84 (step @p63 :rule refl :args (@t21)) % 16.62/16.84 (step @p64 :rule cong :premises (@p63 @p62) :args (@t69)) % 16.62/16.84 (step @p65 :rule cong :premises (@p64) :args (@t70)) % 16.62/16.84 (step @p66 :rule trans :premises (@p65 @p35)) % 16.62/16.84 (step @p67 :rule cong :premises (@p66) :args (@t71)) % 16.62/16.84 (step @p68 :rule eq_resolve :premises (@p19 @p67)) % 16.62/16.84 (step @p69 :rule skolemize :premises (@p68)) % 16.62/16.84 (step @p70 :rule bool-double-not-elim :args (@t110)) % 16.62/16.84 (step @p71 :rule refl :args (@t123)) % 16.62/16.84 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or @t123 (not @t122)))) % 16.62/16.84 (step @p73 :rule cnf_or_neg :args (@t123 0)) % 16.62/16.84 (step @p74 :rule eq_resolve :premises (@p73 @p72)) % 16.62/16.84 (step @p75 :rule reordering :premises (@p74) :args ((or @t110 @t123))) % 16.62/16.84 (step @p76 :rule chain_m_resolution :premises (@p75 @p69) :args (@t110 @t124 @t125)) % 16.62/16.84 (step @p77 :rule bool-impl-elim :args (@t21 @t51)) % 16.62/16.84 (step @p78 :rule cong :premises (@p77) :args (@t52)) % 16.62/16.84 (step @p79 :rule eq_resolve :premises (@p11 @p78)) % 16.62/16.84 (step @p80 :rule instantiate :premises (@p79) :args (@t126)) % 16.62/16.84 (step @p81 :rule instantiate :premises (@p18) :args (@t126)) % 16.62/16.84 (step @p82 :rule cnf_or_pos :args (@t134)) % 16.62/16.84 (step @p83 :rule reordering :premises (@p82) :args ((or @t133 @t131 (not @t134)))) % 16.62/16.84 (step @p84 :rule chain_m_resolution :premises (@p83 @p81 @p80) :args (@t131 @t135 (@list @t132 @t134))) % 16.62/16.84 (step @p85 :rule cnf_and_pos :args (@t131 0)) % 16.62/16.84 (step @p86 :rule reordering :premises (@p85) :args ((or @t130 @t136))) % 16.62/16.84 (step @p87 :rule chain_m_resolution :premises (@p86 @p84) :args (@t130 @t137 @t138)) % 16.62/16.84 (step @p88 :rule cnf_and_pos :args (@t131 1)) % 16.62/16.84 (step @p89 :rule reordering :premises (@p88) :args ((or @t128 @t136))) % 16.62/16.84 (step @p90 :rule chain_m_resolution :premises (@p89 @p84) :args (@t128 @t137 @t138)) % 16.62/16.84 (step @p91 :rule aci_norm :args ((= @t143 (or @t78 @t141 @t140)))) % 16.62/16.84 (step @p92 :rule cong :premises (@p91) :args (@t144)) % 16.62/16.84 (step @p93 :rule quant-merge-prenex :args ((= (forall @t23 @t146) @t144))) % 16.62/16.84 (step @p94 :rule alpha_equiv :args (@t147 (@list @t139) @t148)) % 16.62/16.84 (step @p95 :rule nary_cong :premises (@p25 @p94) :args (@t149)) % 16.62/16.84 (step @p96 :rule quant-miniscope-or :args ((= @t146 @t149))) % 16.62/16.84 (step @p97 :rule trans :premises (@p96 @p95)) % 16.62/16.84 (step @p98 :rule symm :premises (@p97)) % 16.62/16.84 (step @p99 :rule cong :premises (@p98) :args ((forall @t23 (or @t78 @t150)))) % 16.62/16.84 (step @p100 :rule trans :premises (@p99 @p93)) % 16.62/16.84 (step @p101 :rule trans :premises (@p100 @p92)) % 16.62/16.84 (step @p102 :rule bool-impl-elim :args (@t21 @t150)) % 16.62/16.84 (step @p103 :rule cong :premises (@p102) :args ((forall @t23 (=> @t21 @t150)))) % 16.62/16.84 (step @p104 :rule trans :premises (@p103 @p101)) % 16.62/16.84 (step @p105 :rule bool-impl-elim :args (@t17 @t42)) % 16.62/16.84 (step @p106 :rule cong :premises (@p105) :args (@t43)) % 16.62/16.84 (step @p107 :rule cong :premises (@p63 @p106) :args (@t44)) % 16.62/16.84 (step @p108 :rule cong :premises (@p107) :args (@t45)) % 16.62/16.84 (step @p109 :rule trans :premises (@p108 @p104)) % 16.62/16.84 (step @p110 :rule eq_resolve :premises (@p7 @p109)) % 16.62/16.84 (step @p111 :rule instantiate :premises (@p110) :args ((@list @t115 @t109))) % 16.62/16.84 (step @p112 :rule cnf_or_pos :args (@t155)) % 16.62/16.84 (step @p113 :rule reordering :premises (@p112) :args ((or @t122 @t133 @t154 (not @t155)))) % 16.62/16.84 (step @p114 :rule chain_m_resolution :premises (@p113 @p76 @p81 @p111) :args (@t154 @t156 (@list @t110 @t132 @t155))) % 16.62/16.84 (step @p115 :rule aci_norm :args ((= @t165 (or @t78 @t163 @t162)))) % 16.62/16.84 (step @p116 :rule cong :premises (@p115) :args (@t166)) % 16.62/16.84 (step @p117 :rule quant-merge-prenex :args ((= (forall @t23 @t168) @t166))) % 16.62/16.84 (step @p118 :rule alpha_equiv :args (@t169 (@list @t157 @t161 @t159) (@list @t1 @t171 @t170))) % 16.62/16.84 (step @p119 :rule nary_cong :premises (@p25 @p118) :args (@t172)) % 16.62/16.84 (step @p120 :rule quant-miniscope-or :args ((= @t168 @t172))) % 16.62/16.84 (step @p121 :rule trans :premises (@p120 @p119)) % 16.62/16.84 (step @p122 :rule symm :premises (@p121)) % 16.62/16.84 (step @p123 :rule cong :premises (@p122) :args ((forall @t23 (or @t78 @t177)))) % 16.62/16.84 (step @p124 :rule trans :premises (@p123 @p117)) % 16.62/16.84 (step @p125 :rule trans :premises (@p124 @p116)) % 16.62/16.84 (step @p126 :rule bool-impl-elim :args (@t21 @t177)) % 16.62/16.84 (step @p127 :rule cong :premises (@p126) :args ((forall @t23 (=> @t21 @t177)))) % 16.62/16.84 (step @p128 :rule trans :premises (@p127 @p125)) % 16.62/16.84 (step @p129 :rule quant-merge-prenex :args ((= (forall @t19 @t179) @t177))) % 16.62/16.84 (step @p130 :rule alpha_equiv :args (@t180 (@list @t170) (@list @t5))) % 16.62/16.84 (step @p131 :rule quant-unused-vars :args ((= @t181 @t180))) % 16.62/16.84 (step @p132 :rule trans :premises (@p131 @p130)) % 16.62/16.84 (step @p133 :rule alpha_equiv :args (@t182 (@list @t171) @t102)) % 16.62/16.84 (step @p134 :rule quant-unused-vars :args ((= @t183 @t182))) % 16.62/16.84 (step @p135 :rule trans :premises (@p134 @p133)) % 16.62/16.84 (step @p136 :rule nary_cong :premises (@p135 @p132) :args (@t184)) % 16.62/16.84 (step @p137 :rule quant-miniscope-and :args ((= @t185 @t184))) % 16.62/16.84 (step @p138 :rule trans :premises (@p137 @p136)) % 16.62/16.84 (step @p139 :rule nary_cong :premises (@p40 @p138) :args (@t186)) % 16.62/16.84 (step @p140 :rule quant-miniscope-or :args ((= @t179 @t186))) % 16.62/16.84 (step @p141 :rule trans :premises (@p140 @p139)) % 16.62/16.84 (step @p142 :rule symm :premises (@p141)) % 16.62/16.84 (step @p143 :rule cong :premises (@p142) :args ((forall @t19 (or @t92 @t187)))) % 16.62/16.84 (step @p144 :rule trans :premises (@p143 @p129)) % 16.62/16.84 (step @p145 :rule bool-impl-elim :args (@t17 @t187)) % 16.62/16.84 (step @p146 :rule cong :premises (@p145) :args ((forall @t19 (=> @t17 @t187)))) % 16.62/16.84 (step @p147 :rule trans :premises (@p146 @p144)) % 16.62/16.84 (step @p148 :rule bool-impl-elim :args (@t8 @t6)) % 16.62/16.84 (step @p149 :rule cong :premises (@p148) :args (@t10)) % 16.62/16.84 (step @p150 :rule bool-impl-elim :args (@t13 @t12)) % 16.62/16.84 (step @p151 :rule cong :premises (@p150) :args (@t15)) % 16.62/16.84 (step @p152 :rule nary_cong :premises (@p151 @p149) :args (@t16)) % 16.62/16.84 (step @p153 :rule cong :premises (@p59 @p152) :args (@t18)) % 16.62/16.84 (step @p154 :rule cong :premises (@p153) :args (@t20)) % 16.62/16.84 (step @p155 :rule trans :premises (@p154 @p147)) % 16.62/16.84 (step @p156 :rule cong :premises (@p63 @p155) :args (@t22)) % 16.62/16.84 (step @p157 :rule cong :premises (@p156) :args (@t24)) % 16.62/16.84 (step @p158 :rule trans :premises (@p157 @p128)) % 16.62/16.84 (step @p159 :rule eq_resolve :premises (@p1 @p158)) % 16.62/16.84 (step @p160 :rule instantiate :premises (@p159) :args ((@list @t112 @t111 @t109 tptp.set_type))) % 16.62/16.84 (step @p161 :rule bool-double-not-elim :args (@t118)) % 16.62/16.84 (step @p162 :rule nary_cong :premises (@p71 @p161) :args ((or @t123 (not @t119)))) % 16.62/16.84 (step @p163 :rule cnf_or_neg :args (@t123 2)) % 16.62/16.84 (step @p164 :rule eq_resolve :premises (@p163 @p162)) % 16.62/16.84 (step @p165 :rule reordering :premises (@p164) :args ((or @t118 @t123))) % 16.62/16.84 (step @p166 :rule chain_m_resolution :premises (@p165 @p69) :args (@t118 @t124 @t125)) % 16.62/16.84 (step @p167 :rule bool-double-not-elim :args (@t120)) % 16.62/16.84 (step @p168 :rule nary_cong :premises (@p71 @p167) :args ((or @t123 (not @t121)))) % 16.62/16.84 (step @p169 :rule cnf_or_neg :args (@t123 1)) % 16.62/16.84 (step @p170 :rule eq_resolve :premises (@p169 @p168)) % 16.62/16.84 (step @p171 :rule reordering :premises (@p170) :args ((or @t120 @t123))) % 16.62/16.84 (step @p172 :rule chain_m_resolution :premises (@p171 @p69) :args (@t120 @t124 @t125)) % 16.62/16.84 (step @p173 :rule cnf_or_pos :args (@t191)) % 16.62/16.84 (step @p174 :rule reordering :premises (@p173) :args ((or @t121 @t119 @t190 (not @t191)))) % 16.62/16.84 (step @p175 :rule chain_m_resolution :premises (@p174 @p172 @p166 @p160) :args (@t190 @t156 (@list @t120 @t118 @t191))) % 16.62/16.84 (step @p176 :rule cnf_and_pos :args (@t190 0)) % 16.62/16.84 (step @p177 :rule reordering :premises (@p176) :args ((or @t189 (not @t190)))) % 16.62/16.84 (step @p178 :rule chain_m_resolution :premises (@p177 @p175) :args (@t189 @t137 (@list @t190))) % 16.62/16.84 (step @p179 :rule cnf_or_neg :args (@t123 4)) % 16.62/16.84 (step @p180 :rule chain_m_resolution :premises (@p179 @p69) :args ((not @t114) @t124 @t125)) % 16.62/16.84 (step @p181 :rule cnf_or_pos :args (@t189)) % 16.62/16.84 (step @p182 :rule reordering :premises (@p181) :args ((or @t114 @t188 (not @t189)))) % 16.62/16.84 (step @p183 :rule chain_m_resolution :premises (@p182 @p180 @p178) :args (@t188 @t192 (@list @t114 @t189))) % 16.62/16.84 (step @p184 :rule cnf_equiv_pos2 :args (@t154)) % 16.62/16.84 (step @p185 :rule reordering :premises (@p184) :args ((or @t153 @t193 (not @t154)))) % 16.62/16.84 (step @p186 :rule chain_m_resolution :premises (@p185 @p183 @p114) :args (@t193 @t192 (@list @t153 @t154))) % 16.62/16.84 (step @p187 :rule aci_norm :args ((= @t200 @t198))) % 16.62/16.84 (step @p188 :rule cong :premises (@p187) :args (@t202)) % 16.62/16.84 (step @p189 :rule quant-merge-prenex :args ((= (forall @t23 @t204) @t202))) % 16.62/16.84 (step @p190 :rule alpha_equiv :args (@t205 (@list @t194) @t148)) % 16.62/16.84 (step @p191 :rule nary_cong :premises (@p25 @p190) :args (@t206)) % 16.62/16.84 (step @p192 :rule quant-miniscope-or :args ((= @t204 @t206))) % 16.62/16.84 (step @p193 :rule trans :premises (@p192 @p191)) % 16.62/16.84 (step @p194 :rule symm :premises (@p193)) % 16.62/16.84 (step @p195 :rule cong :premises (@p194) :args ((forall @t23 (or @t78 @t210)))) % 16.62/16.84 (step @p196 :rule trans :premises (@p195 @p189)) % 16.62/16.84 (step @p197 :rule trans :premises (@p196 @p188)) % 16.62/16.84 (step @p198 :rule bool-impl-elim :args (@t21 @t210)) % 16.62/16.84 (step @p199 :rule cong :premises (@p198) :args ((forall @t23 (=> @t21 @t210)))) % 16.62/16.84 (step @p200 :rule trans :premises (@p199 @p197)) % 16.62/16.84 (step @p201 :rule bool-impl-elim :args (@t17 @t209)) % 16.62/16.84 (step @p202 :rule cong :premises (@p201) :args ((forall @t19 (=> @t17 @t209)))) % 16.62/16.84 (step @p203 :rule eq-symm :args (@t208 @t46)) % 16.62/16.84 (step @p204 :rule refl :args (@t46)) % 16.62/16.84 (step @p205 :rule aci_norm :args ((= (or @t105 (or @t195 @t28)) @t207))) % 16.62/16.84 (step @p206 :rule bool-impl-elim :args (@t29 @t28)) % 16.62/16.84 (step @p207 :rule nary_cong :premises (@p53 @p206) :args ((or @t105 @t30))) % 16.62/16.84 (step @p208 :rule trans :premises (@p207 @p205)) % 16.62/16.84 (step @p209 :rule bool-impl-elim :args (@t27 @t30)) % 16.62/16.84 (step @p210 :rule trans :premises (@p209 @p208)) % 16.62/16.84 (step @p211 :rule cong :premises (@p210) :args (@t31)) % 16.62/16.84 (step @p212 :rule cong :premises (@p211 @p204) :args ((= @t31 @t46))) % 16.62/16.84 (step @p213 :rule trans :premises (@p212 @p203)) % 16.62/16.84 (step @p214 :rule eq-symm :args (@t46 @t31)) % 16.62/16.84 (step @p215 :rule trans :premises (@p214 @p213)) % 16.62/16.84 (step @p216 :rule cong :premises (@p59 @p215) :args (@t47)) % 16.62/16.84 (step @p217 :rule cong :premises (@p216) :args (@t48)) % 16.62/16.84 (step @p218 :rule trans :premises (@p217 @p202)) % 16.62/16.84 (step @p219 :rule cong :premises (@p63 @p218) :args (@t49)) % 16.62/16.84 (step @p220 :rule cong :premises (@p219) :args (@t50)) % 16.62/16.84 (step @p221 :rule trans :premises (@p220 @p200)) % 16.62/16.84 (step @p222 :rule eq_resolve :premises (@p10 @p221)) % 16.62/16.84 (step @p223 :rule eq-symm :args (@t211 @t212)) % 16.62/16.84 (step @p224 :rule refl :args (@t133)) % 16.62/16.84 (step @p225 :rule refl :args (@t122)) % 16.62/16.84 (step @p226 :rule nary_cong :premises (@p225 @p224 @p223) :args (@t213)) % 16.62/16.84 (step @p227 :rule refl :args (@t214)) % 16.62/16.84 (step @p228 :rule cong :premises (@p227 @p226) :args ((=> @t214 @t213))) % 16.62/16.84 (assume-push @p328 @t214) % 16.62/16.84 (step @p230 :rule instantiate :premises (@p222) :args (@t215)) % 16.62/16.84 (step-pop @p329 :rule scope :premises (@p230)) % 16.62/16.84 (step @p231 :rule process_scope :premises (@p329) :args (@t213)) % 16.62/16.84 (step @p233 :rule eq_resolve :premises (@p231 @p228)) % 16.62/16.84 (step @p234 :rule implies_elim :premises (@p233)) % 16.62/16.84 (step @p235 :rule chain_m_resolution :premises (@p234 @p222) :args (@t217 @t137 (@list @t214))) % 16.62/16.84 (step @p236 :rule cnf_or_pos :args (@t217)) % 16.62/16.84 (step @p237 :rule reordering :premises (@p236) :args ((or @t122 @t133 @t216 (not @t217)))) % 16.62/16.84 (step @p238 :rule chain_m_resolution :premises (@p237 @p76 @p81 @p235) :args (@t216 @t156 (@list @t110 @t132 @t217))) % 16.62/16.84 (step @p239 :rule aci_norm :args ((= @t222 (or @t78 @t220 @t219)))) % 16.62/16.84 (step @p240 :rule cong :premises (@p239) :args (@t223)) % 16.62/16.84 (step @p241 :rule quant-merge-prenex :args ((= (forall @t23 @t225) @t223))) % 16.62/16.84 (step @p242 :rule alpha_equiv :args (@t226 (@list @t218) @t148)) % 16.62/16.84 (step @p243 :rule nary_cong :premises (@p25 @p242) :args (@t227)) % 16.62/16.84 (step @p244 :rule quant-miniscope-or :args ((= @t225 @t227))) % 16.62/16.84 (step @p245 :rule trans :premises (@p244 @p243)) % 16.62/16.84 (step @p246 :rule symm :premises (@p245)) % 16.62/16.84 (step @p247 :rule cong :premises (@p246) :args ((forall @t23 (or @t78 @t229)))) % 16.62/16.84 (step @p248 :rule trans :premises (@p247 @p241)) % 16.62/16.84 (step @p249 :rule trans :premises (@p248 @p240)) % 16.62/16.84 (step @p250 :rule bool-impl-elim :args (@t21 @t229)) % 16.62/16.84 (step @p251 :rule cong :premises (@p250) :args ((forall @t23 (=> @t21 @t229)))) % 16.62/16.84 (step @p252 :rule trans :premises (@p251 @p249)) % 16.62/16.84 (step @p253 :rule bool-impl-elim :args (@t17 @t228)) % 16.62/16.84 (step @p254 :rule cong :premises (@p253) :args ((forall @t19 (=> @t17 @t228)))) % 16.62/16.84 (step @p255 :rule refl :args (@t32)) % 16.62/16.84 (step @p256 :rule cong :premises (@p255 @p211) :args (@t33)) % 16.62/16.84 (step @p257 :rule cong :premises (@p59 @p256) :args (@t34)) % 16.62/16.84 (step @p258 :rule cong :premises (@p257) :args (@t35)) % 16.62/16.84 (step @p259 :rule trans :premises (@p258 @p254)) % 16.62/16.84 (step @p260 :rule cong :premises (@p63 @p259) :args (@t36)) % 16.62/16.84 (step @p261 :rule cong :premises (@p260) :args (@t37)) % 16.62/16.84 (step @p262 :rule trans :premises (@p261 @p252)) % 16.62/16.84 (step @p263 :rule eq_resolve :premises (@p5 @p262)) % 16.62/16.84 (step @p264 :rule instantiate :premises (@p263) :args (@t215)) % 16.62/16.84 (step @p265 :rule cnf_or_pos :args (@t231)) % 16.62/16.84 (step @p266 :rule reordering :premises (@p265) :args ((or @t122 @t133 @t230 (not @t231)))) % 16.62/16.84 (step @p267 :rule chain_m_resolution :premises (@p266 @p76 @p81 @p264) :args (@t230 @t156 (@list @t110 @t132 @t231))) % 16.62/16.84 (step @p268 :rule bool-double-not-elim :args (@t116)) % 16.62/16.84 (step @p269 :rule nary_cong :premises (@p71 @p268) :args ((or @t123 (not @t117)))) % 16.62/16.84 (step @p270 :rule cnf_or_neg :args (@t123 3)) % 16.62/16.84 (step @p271 :rule eq_resolve :premises (@p270 @p269)) % 16.62/16.84 (step @p272 :rule reordering :premises (@p271) :args ((or @t116 @t123))) % 16.62/16.84 (step @p273 :rule chain_m_resolution :premises (@p272 @p69) :args (@t116 @t124 @t125)) % 16.62/16.84 (step @p274 :rule cnf_equiv_pos1 :args (@t230)) % 16.62/16.84 (step @p275 :rule reordering :premises (@p274) :args ((or @t117 @t212 (not @t230)))) % 16.62/16.84 (step @p276 :rule chain_m_resolution :premises (@p275 @p273 @p267) :args (@t212 @t135 (@list @t116 @t230))) % 16.62/16.84 (step @p277 :rule cnf_equiv_pos1 :args (@t216)) % 16.62/16.84 (step @p278 :rule reordering :premises (@p277) :args ((or @t211 (not @t212) (not @t216)))) % 16.62/16.84 (step @p279 :rule chain_m_resolution :premises (@p278 @p276 @p238) :args (@t211 @t135 (@list @t212 @t216))) % 16.62/16.84 (step @p280 :rule cnf_equiv_pos1 :args (@t232)) % 16.62/16.84 (step @p281 :rule reordering :premises (@p280) :args ((or (not @t211) @t151 @t233))) % 16.62/16.84 (step @p282 :rule chain_m_resolution :premises (@p281 @p279 @p186) :args (@t233 (@list false true) (@list @t211 @t151))) % 16.62/16.84 (step @p283 :rule aci_norm :args ((= @t240 @t238))) % 16.62/16.84 (step @p284 :rule cong :premises (@p283) :args (@t242)) % 16.62/16.84 (step @p285 :rule quant-merge-prenex :args ((= (forall @t23 @t244) @t242))) % 16.62/16.84 (step @p286 :rule alpha_equiv :args (@t245 (@list @t234) @t148)) % 16.62/16.84 (step @p287 :rule nary_cong :premises (@p25 @p286) :args (@t246)) % 16.62/16.84 (step @p288 :rule quant-miniscope-or :args ((= @t244 @t246))) % 16.62/16.84 (step @p289 :rule trans :premises (@p288 @p287)) % 16.62/16.84 (step @p290 :rule symm :premises (@p289)) % 16.62/16.84 (step @p291 :rule cong :premises (@p290) :args ((forall @t23 (or @t78 @t248)))) % 16.62/16.84 (step @p292 :rule trans :premises (@p291 @p285)) % 16.62/16.84 (step @p293 :rule trans :premises (@p292 @p284)) % 16.62/16.84 (step @p294 :rule bool-impl-elim :args (@t21 @t248)) % 16.62/16.84 (step @p295 :rule cong :premises (@p294) :args ((forall @t23 (=> @t21 @t248)))) % 16.62/16.84 (step @p296 :rule trans :premises (@p295 @p293)) % 16.62/16.84 (step @p297 :rule aci_norm :args ((= (or (or @t54 @t92) @t53) @t247))) % 16.62/16.84 (step @p298 :rule refl :args (@t53)) % 16.62/16.84 (step @p299 :rule bool-double-not-elim :args (@t54)) % 16.62/16.84 (step @p300 :rule nary_cong :premises (@p299 @p40) :args ((or (not @t55) @t92))) % 16.62/16.84 (step @p301 :rule bool-and-de-morgan :args (@t55 @t17 true)) % 16.62/16.84 (step @p302 :rule trans :premises (@p301 @p300)) % 16.62/16.84 (step @p303 :rule nary_cong :premises (@p302 @p298) :args ((or (not @t56) @t53))) % 16.62/16.84 (step @p304 :rule trans :premises (@p303 @p297)) % 16.62/16.84 (step @p305 :rule bool-impl-elim :args (@t56 @t53)) % 16.62/16.84 (step @p306 :rule trans :premises (@p305 @p304)) % 16.62/16.84 (step @p307 :rule cong :premises (@p306) :args (@t57)) % 16.62/16.84 (step @p308 :rule cong :premises (@p63 @p307) :args (@t58)) % 16.62/16.84 (step @p309 :rule cong :premises (@p308) :args (@t59)) % 16.62/16.84 (step @p310 :rule trans :premises (@p309 @p296)) % 16.62/16.84 (step @p311 :rule eq_resolve :premises (@p12 @p310)) % 16.62/16.84 (step @p312 :rule eq-symm :args (@t151 @t211)) % 16.62/16.84 (step @p313 :rule refl :args (@t249)) % 16.62/16.84 (step @p314 :rule refl :args (@t129)) % 16.62/16.84 (step @p315 :rule nary_cong :premises (@p225 @p314 @p313 @p312) :args (@t250)) % 16.62/16.84 (step @p316 :rule refl :args (@t251)) % 16.62/16.84 (step @p317 :rule cong :premises (@p316 @p315) :args ((=> @t251 @t250))) % 16.62/16.84 (assume-push @p330 @t251) % 16.62/16.84 (step @p319 :rule instantiate :premises (@p311) :args ((@list @t109 @t127))) % 16.62/16.84 (step-pop @p331 :rule scope :premises (@p319)) % 16.62/16.84 (step @p320 :rule process_scope :premises (@p331) :args (@t250)) % 16.62/16.84 (step @p322 :rule eq_resolve :premises (@p320 @p317)) % 16.62/16.84 (step @p323 :rule implies_elim :premises (@p322)) % 16.62/16.84 (step @p324 :rule chain_m_resolution :premises (@p323 @p311) :args (@t252 @t137 (@list @t251))) % 16.62/16.84 (step @p325 :rule cnf_or_pos :args (@t252)) % 16.62/16.84 (step @p326 :rule reordering :premises (@p325) :args ((or @t122 @t129 @t249 @t232 (not @t252)))) % 16.62/16.84 (step @p327 false :rule chain_m_resolution :premises (@p326 @p324 @p282 @p90 @p87 @p76) :args (false (@list false true false true false) (@list @t252 @t232 @t128 @t129 @t110))) % 16.62/16.84 ) % 16.62/16.84 % SZS output end Proof % 16.62/16.84 % cvc5 exiting %------------------------------------------------------------------------------