%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET817+4 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:48:42 AM UTC 2026 % Result : Theorem 281.64s 281.93s % Output : Proof 281.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET817+4 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n008.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 16:13:18 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 281.64/281.93 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 281.64/281.93 --- Run --no-e-matching --full-saturate-quant at 6... % 281.64/281.93 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 281.64/281.93 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 281.64/281.93 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 281.64/281.93 --- Run --trigger-sel=max --full-saturate-quant at 15... % 281.64/281.93 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 281.64/281.93 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 281.64/281.93 --- Run --prenex-quant=none --full-saturate-quant at 30... % 281.64/281.93 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 281.64/281.93 --- Run --relevant-triggers --full-saturate-quant at 30... % 281.64/281.93 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 281.64/281.93 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 281.64/281.93 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 281.64/281.93 --- Run --no-cbqi --full-saturate-quant at 9... % 281.64/281.93 --- Run --macros-quant --macros-quant-mode=all --full-saturate-quant at 15... % 281.64/281.93 % SZS status Theorem % 281.64/281.93 % SZS output start Proof % 281.64/281.93 ( % 281.64/281.93 (declare-sort $$unsorted 0) % 281.64/281.93 (declare-const tptp.strict_order (-> $$unsorted $$unsorted Bool)) % 281.64/281.93 (declare-const tptp.on $$unsorted) % 281.64/281.93 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 281.64/281.93 (declare-const tptp.set (-> $$unsorted Bool)) % 281.64/281.93 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 281.64/281.93 (declare-const tptp.suc (-> $$unsorted $$unsorted)) % 281.64/281.93 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 281.64/281.93 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 281.64/281.93 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 281.64/281.93 (declare-const tptp.initial_segment (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 281.64/281.93 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 281.64/281.93 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 281.64/281.93 (declare-const tptp.empty_set $$unsorted) % 281.64/281.93 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 281.64/281.93 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 281.64/281.93 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 281.64/281.93 (declare-const tptp.least (-> $$unsorted $$unsorted $$unsorted Bool)) % 281.64/281.93 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 281.64/281.93 (declare-const tptp.strict_well_order (-> $$unsorted $$unsorted Bool)) % 281.64/281.93 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 281.64/281.93 (declare-const tptp.member_predicate $$unsorted) % 281.64/281.93 (define @t1 () (@var "B" $$unsorted)) % 281.64/281.93 (define @t2 () (@var "X" $$unsorted)) % 281.64/281.93 (define @t3 () (tptp.member @t2 @t1)) % 281.64/281.93 (define @t4 () (@var "A" $$unsorted)) % 281.64/281.93 (define @t5 () (tptp.member @t2 @t4)) % 281.64/281.93 (define @t6 () (@list @t2)) % 281.64/281.93 (define @t7 () (forall @t6 (=> @t5 @t3))) % 281.64/281.93 (define @t8 () (tptp.subset @t4 @t1)) % 281.64/281.93 (define @t9 () (= @t8 @t7)) % 281.64/281.93 (define @t10 () (@list @t4 @t1)) % 281.64/281.93 (define @t11 () (forall @t10 @t9)) % 281.64/281.93 (define @t12 () (tptp.subset @t2 @t4)) % 281.64/281.93 (define @t13 () (@list @t2 @t4)) % 281.64/281.93 (define @t14 () (@list @t2 @t4 @t1)) % 281.64/281.93 (define @t15 () (@var "E" $$unsorted)) % 281.64/281.93 (define @t16 () (= @t2 @t4)) % 281.64/281.93 (define @t17 () (tptp.singleton @t4)) % 281.64/281.93 (define @t18 () (@var "Y" $$unsorted)) % 281.64/281.93 (define @t19 () (tptp.member @t2 @t18)) % 281.64/281.93 (define @t20 () (tptp.member @t18 @t4)) % 281.64/281.93 (define @t21 () (@list @t18)) % 281.64/281.93 (define @t22 () (forall @t21 (=> @t20 @t19))) % 281.64/281.93 (define @t23 () (tptp.product @t4)) % 281.64/281.93 (define @t24 () (tptp.member @t2 @t23)) % 281.64/281.93 (define @t25 () (= @t24 @t22)) % 281.64/281.93 (define @t26 () (forall @t13 @t25)) % 281.64/281.93 (define @t27 () (forall @t6 (=> @t5 @t12))) % 281.64/281.93 (define @t28 () (tptp.strict_well_order tptp.member_predicate @t4)) % 281.64/281.93 (define @t29 () (tptp.set @t4)) % 281.64/281.93 (define @t30 () (and @t29 @t28 @t27)) % 281.64/281.93 (define @t31 () (tptp.member @t4 tptp.on)) % 281.64/281.93 (define @t32 () (= @t31 @t30)) % 281.64/281.93 (define @t33 () (@list @t4)) % 281.64/281.93 (define @t34 () (forall @t33 @t32)) % 281.64/281.93 (define @t35 () (@var "R" $$unsorted)) % 281.64/281.93 (define @t36 () (tptp.least @t18 @t35 @t4)) % 281.64/281.93 (define @t37 () (exists @t21 @t36)) % 281.64/281.93 (define @t38 () (exists @t6 @t5)) % 281.64/281.93 (define @t39 () (tptp.subset @t4 @t15)) % 281.64/281.93 (define @t40 () (and @t39 @t38)) % 281.64/281.93 (define @t41 () (=> @t40 @t37)) % 281.64/281.93 (define @t42 () (forall @t33 @t41)) % 281.64/281.93 (define @t43 () (tptp.strict_order @t35 @t15)) % 281.64/281.93 (define @t44 () (and @t43 @t42)) % 281.64/281.93 (define @t45 () (tptp.strict_well_order @t35 @t15)) % 281.64/281.93 (define @t46 () (= @t45 @t44)) % 281.64/281.93 (define @t47 () (@list @t35 @t15)) % 281.64/281.93 (define @t48 () (forall @t47 @t46)) % 281.64/281.93 (define @t49 () (@var "M" $$unsorted)) % 281.64/281.93 (define @t50 () (tptp.apply @t35 @t49 @t2)) % 281.64/281.93 (define @t51 () (or (= @t49 @t2) @t50)) % 281.64/281.93 (define @t52 () (tptp.member @t2 @t15)) % 281.64/281.93 (define @t53 () (=> @t52 @t51)) % 281.64/281.93 (define @t54 () (forall @t6 @t53)) % 281.64/281.93 (define @t55 () (tptp.member @t49 @t15)) % 281.64/281.93 (define @t56 () (and @t55 @t54)) % 281.64/281.93 (define @t57 () (tptp.least @t49 @t35 @t15)) % 281.64/281.93 (define @t58 () (= @t57 @t56)) % 281.64/281.93 (define @t59 () (@list @t35 @t15 @t49)) % 281.64/281.93 (define @t60 () (forall @t59 @t58)) % 281.64/281.93 (define @t61 () (tptp.apply tptp.member_predicate @t2 @t18)) % 281.64/281.93 (define @t62 () (@list @t2 @t18)) % 281.64/281.93 (define @t63 () (forall @t62 (= @t61 @t19))) % 281.64/281.93 (define @t64 () (@var "Z" $$unsorted)) % 281.64/281.93 (define @t65 () (tptp.apply @t35 @t2 @t64)) % 281.64/281.93 (define @t66 () (tptp.apply @t35 @t18 @t64)) % 281.64/281.93 (define @t67 () (tptp.apply @t35 @t2 @t18)) % 281.64/281.93 (define @t68 () (and @t67 @t66)) % 281.64/281.93 (define @t69 () (=> @t68 @t65)) % 281.64/281.93 (define @t70 () (tptp.member @t64 @t15)) % 281.64/281.93 (define @t71 () (tptp.member @t18 @t15)) % 281.64/281.93 (define @t72 () (and @t52 @t71 @t70)) % 281.64/281.93 (define @t73 () (@list @t2 @t18 @t64)) % 281.64/281.93 (define @t74 () (forall @t73 (=> @t72 @t69))) % 281.64/281.93 (define @t75 () (tptp.apply @t35 @t18 @t2)) % 281.64/281.93 (define @t76 () (not (and @t67 @t75))) % 281.64/281.93 (define @t77 () (and @t52 @t71)) % 281.64/281.93 (define @t78 () (forall @t62 (=> @t77 @t76))) % 281.64/281.93 (define @t79 () (and @t78 @t74)) % 281.64/281.93 (define @t80 () (= @t43 @t79)) % 281.64/281.93 (define @t81 () (forall @t47 @t80)) % 281.64/281.93 (define @t82 () (tptp.set @t2)) % 281.64/281.93 (define @t83 () (@list @t4 @t2)) % 281.64/281.93 (define @t84 () (@var "C" $$unsorted)) % 281.64/281.93 (define @t85 () (tptp.set (tptp.product @t2))) % 281.64/281.93 (define @t86 () (forall @t6 (=> @t82 @t85))) % 281.64/281.93 (define @t87 () (tptp.subset @t23 @t2)) % 281.64/281.93 (define @t88 () (forall @t83 (=> @t5 @t87))) % 281.64/281.93 (define @t89 () (tptp.member @t23 tptp.on)) % 281.64/281.93 (define @t90 () (tptp.subset @t4 tptp.on)) % 281.64/281.93 (define @t91 () (and @t90 @t29 @t38)) % 281.64/281.93 (define @t92 () (=> @t91 @t89)) % 281.64/281.93 (define @t93 () (forall @t33 @t92)) % 281.64/281.93 (define @t94 () (not @t93)) % 281.64/281.93 (define @t95 () (tptp.apply tptp.member_predicate @t4 tptp.on)) % 281.64/281.93 (define @t96 () (@var "BOUND_VARIABLE_7900" $$unsorted)) % 281.64/281.93 (define @t97 () (@var "BOUND_VARIABLE_7899" $$unsorted)) % 281.64/281.93 (define @t98 () (lambda (@list @t97 @t96) (tptp.apply tptp.member_predicate @t97 @t96))) % 281.64/281.93 (define @t99 () (_ @t98 @t4 tptp.on)) % 281.64/281.93 (define @t100 () (tptp.apply tptp.member_predicate @t2 @t64)) % 281.64/281.93 (define @t101 () (not (tptp.apply tptp.member_predicate @t18 @t64))) % 281.64/281.93 (define @t102 () (not @t61)) % 281.64/281.93 (define @t103 () (tptp.apply tptp.member_predicate @t18 @t4)) % 281.64/281.93 (define @t104 () (not @t103)) % 281.64/281.93 (define @t105 () (tptp.apply tptp.member_predicate @t2 @t4)) % 281.64/281.93 (define @t106 () (not @t105)) % 281.64/281.93 (define @t107 () (forall @t73 (or @t106 @t104 (not (tptp.apply tptp.member_predicate @t64 @t4)) @t102 @t101 @t100))) % 281.64/281.93 (define @t108 () (tptp.apply tptp.member_predicate @t18 @t2)) % 281.64/281.93 (define @t109 () (not @t108)) % 281.64/281.93 (define @t110 () (forall @t62 (or @t106 @t104 @t102 @t109))) % 281.64/281.93 (define @t111 () (= @t2 @t18)) % 281.64/281.93 (define @t112 () (@var "BOUND_VARIABLE_8285" $$unsorted)) % 281.64/281.93 (define @t113 () (tptp.apply tptp.member_predicate @t2 @t112)) % 281.64/281.93 (define @t114 () (not @t113)) % 281.64/281.93 (define @t115 () (forall @t6 (or @t114 @t111 @t108))) % 281.64/281.93 (define @t116 () (tptp.apply tptp.member_predicate @t18 @t112)) % 281.64/281.93 (define @t117 () (not (forall @t21 (or (not @t116) (not @t115))))) % 281.64/281.93 (define @t118 () (@var "BOUND_VARIABLE_7659" $$unsorted)) % 281.64/281.93 (define @t119 () (tptp.apply tptp.member_predicate @t118 @t112)) % 281.64/281.93 (define @t120 () (not @t119)) % 281.64/281.93 (define @t121 () (@list @t112 @t118)) % 281.64/281.93 (define @t122 () (forall @t121 (or (not (forall @t6 (or @t114 @t105))) @t120 @t117))) % 281.64/281.93 (define @t123 () (@var "BOUND_VARIABLE_8356" $$unsorted)) % 281.64/281.93 (define @t124 () (tptp.apply tptp.member_predicate @t123 @t4)) % 281.64/281.93 (define @t125 () (not (tptp.apply tptp.member_predicate @t123 @t2))) % 281.64/281.93 (define @t126 () (or @t106 @t125 @t124)) % 281.64/281.93 (define @t127 () (@list @t2 @t123)) % 281.64/281.93 (define @t128 () (forall @t127 @t126)) % 281.64/281.93 (define @t129 () (and @t29 @t128 @t122 @t110 @t107)) % 281.64/281.93 (define @t130 () (and @t122 @t110 @t107)) % 281.64/281.93 (define @t131 () (or @t125 @t124)) % 281.64/281.93 (define @t132 () (or @t106 @t131)) % 281.64/281.93 (define @t133 () (forall @t127 @t132)) % 281.64/281.93 (define @t134 () (@list @t123)) % 281.64/281.93 (define @t135 () (forall @t134 @t132)) % 281.64/281.93 (define @t136 () (forall @t134 @t131)) % 281.64/281.93 (define @t137 () (@var "BOUND_VARIABLE_8141" $$unsorted)) % 281.64/281.93 (define @t138 () (@list @t137)) % 281.64/281.93 (define @t139 () (or @t106 @t136)) % 281.64/281.93 (define @t140 () (tptp.apply tptp.member_predicate @t137 @t4)) % 281.64/281.93 (define @t141 () (tptp.apply tptp.member_predicate @t137 @t2)) % 281.64/281.93 (define @t142 () (@list @t137)) % 281.64/281.93 (define @t143 () (_ @t98 @t137 @t4)) % 281.64/281.93 (define @t144 () (_ @t98 @t137 @t2)) % 281.64/281.93 (define @t145 () (not @t144)) % 281.64/281.93 (define @t146 () (or @t145 @t143)) % 281.64/281.93 (define @t147 () (forall @t142 @t146)) % 281.64/281.93 (define @t148 () (@var "BOUND_VARIABLE_7756" $$unsorted)) % 281.64/281.93 (define @t149 () (@var "BOUND_VARIABLE_7755" $$unsorted)) % 281.64/281.93 (define @t150 () (@list @t149 @t148)) % 281.64/281.93 (define @t151 () (forall @t6 (or (not (_ @t98 @t2 @t149)) (_ @t98 @t2 @t148)))) % 281.64/281.93 (define @t152 () (@list @t2)) % 281.64/281.93 (define @t153 () (lambda @t150 @t151)) % 281.64/281.93 (define @t154 () (_ @t98 @t2 @t4)) % 281.64/281.93 (define @t155 () (not @t154)) % 281.64/281.93 (define @t156 () (or @t155 (_ @t153 @t2 @t4))) % 281.64/281.93 (define @t157 () (forall @t6 @t156)) % 281.64/281.93 (define @t158 () (and @t110 @t107)) % 281.64/281.93 (define @t159 () (_ @t98 @t2 @t112)) % 281.64/281.93 (define @t160 () (not @t159)) % 281.64/281.93 (define @t161 () (or @t160 @t111 @t108)) % 281.64/281.93 (define @t162 () (forall @t6 @t161)) % 281.64/281.93 (define @t163 () (_ @t98 @t18 @t112)) % 281.64/281.93 (define @t164 () (and @t163 @t162)) % 281.64/281.93 (define @t165 () (@var "BOUND_VARIABLE_7881" $$unsorted)) % 281.64/281.93 (define @t166 () (@var "BOUND_VARIABLE_7882" $$unsorted)) % 281.64/281.93 (define @t167 () (tptp.apply @t166 @t165 @t2)) % 281.64/281.93 (define @t168 () (= @t2 @t165)) % 281.64/281.93 (define @t169 () (@var "BOUND_VARIABLE_7883" $$unsorted)) % 281.64/281.93 (define @t170 () (@list @t165 @t166 @t169)) % 281.64/281.93 (define @t171 () (lambda @t170 (and (_ @t98 @t165 @t169) (forall @t6 (or (not (_ @t98 @t2 @t169)) @t168 @t167))))) % 281.64/281.93 (define @t172 () (_ @t171 @t18 tptp.member_predicate @t112)) % 281.64/281.93 (define @t173 () (not @t172)) % 281.64/281.93 (define @t174 () (forall @t21 @t173)) % 281.64/281.93 (define @t175 () (not @t174)) % 281.64/281.93 (define @t176 () (_ @t98 @t118 @t112)) % 281.64/281.93 (define @t177 () (not @t176)) % 281.64/281.93 (define @t178 () (or @t160 @t154)) % 281.64/281.93 (define @t179 () (forall @t6 @t178)) % 281.64/281.93 (define @t180 () (not @t179)) % 281.64/281.93 (define @t181 () (or @t180 @t177 @t175)) % 281.64/281.93 (define @t182 () (forall @t121 @t181)) % 281.64/281.93 (define @t183 () (@var "BOUND_VARIABLE_7938" $$unsorted)) % 281.64/281.93 (define @t184 () (not (tptp.apply @t183 @t2 @t18))) % 281.64/281.93 (define @t185 () (@var "BOUND_VARIABLE_7939" $$unsorted)) % 281.64/281.93 (define @t186 () (not (tptp.apply tptp.member_predicate @t18 @t185))) % 281.64/281.93 (define @t187 () (not (tptp.apply tptp.member_predicate @t2 @t185))) % 281.64/281.93 (define @t188 () (lambda (@list @t183 @t185) (and (forall @t62 (or @t187 @t186 @t184 (not (tptp.apply @t183 @t18 @t2)))) (forall @t73 (or @t187 @t186 (not (tptp.apply tptp.member_predicate @t64 @t185)) @t184 (not (tptp.apply @t183 @t18 @t64)) (tptp.apply @t183 @t2 @t64)))))) % 281.64/281.93 (define @t189 () (_ @t188 tptp.member_predicate @t4)) % 281.64/281.93 (define @t190 () (and @t189 @t182)) % 281.64/281.93 (define @t191 () (@var "BOUND_VARIABLE_7860" $$unsorted)) % 281.64/281.93 (define @t192 () (@var "BOUND_VARIABLE_7861" $$unsorted)) % 281.64/281.93 (define @t193 () (_ @t98 @t2 @t192)) % 281.64/281.93 (define @t194 () (_ @t188 @t191 @t192)) % 281.64/281.93 (define @t195 () (@list @t191 @t192)) % 281.64/281.93 (define @t196 () (@list @t4 @t118)) % 281.64/281.93 (define @t197 () (forall @t196 (or (not (forall @t6 (or @t155 @t193))) (not (_ @t98 @t118 @t4)) (not (forall @t21 (not (_ @t171 @t18 @t191 @t4))))))) % 281.64/281.93 (define @t198 () (and @t194 @t197)) % 281.64/281.93 (define @t199 () (lambda @t195 @t198)) % 281.64/281.93 (define @t200 () (and @t29 (_ @t199 tptp.member_predicate @t4) @t157)) % 281.64/281.93 (define @t201 () (not (tptp.member @t2 @t149))) % 281.64/281.93 (define @t202 () (or @t201 (tptp.member @t2 @t148))) % 281.64/281.93 (define @t203 () (forall @t6 @t202)) % 281.64/281.93 (define @t204 () (lambda @t150 @t203)) % 281.64/281.93 (define @t205 () (not @t5)) % 281.64/281.93 (define @t206 () (or @t205 @t12)) % 281.64/281.93 (define @t207 () (forall @t6 @t206)) % 281.64/281.93 (define @t208 () (not (tptp.member @t2 @t169))) % 281.64/281.93 (define @t209 () (or @t208 @t168 @t167)) % 281.64/281.93 (define @t210 () (forall @t6 @t209)) % 281.64/281.93 (define @t211 () (and (tptp.member @t165 @t169) @t210)) % 281.64/281.93 (define @t212 () (lambda @t170 @t211)) % 281.64/281.93 (define @t213 () (= @t2 @t49)) % 281.64/281.93 (define @t214 () (not @t52)) % 281.64/281.93 (define @t215 () (or @t214 @t213 @t50)) % 281.64/281.93 (define @t216 () (or @t213 @t50)) % 281.64/281.93 (define @t217 () (not (tptp.least @t18 @t191 @t4))) % 281.64/281.93 (define @t218 () (forall @t21 @t217)) % 281.64/281.93 (define @t219 () (not @t218)) % 281.64/281.93 (define @t220 () (not (tptp.member @t118 @t4))) % 281.64/281.93 (define @t221 () (or @t205 (tptp.member @t2 @t192))) % 281.64/281.93 (define @t222 () (forall @t6 @t221)) % 281.64/281.93 (define @t223 () (not @t222)) % 281.64/281.93 (define @t224 () (or @t223 @t220 @t219)) % 281.64/281.93 (define @t225 () (forall @t196 @t224)) % 281.64/281.93 (define @t226 () (not @t66)) % 281.64/281.93 (define @t227 () (not @t67)) % 281.64/281.93 (define @t228 () (tptp.apply tptp.member_predicate @t64 @t15)) % 281.64/281.93 (define @t229 () (tptp.apply tptp.member_predicate @t18 @t15)) % 281.64/281.93 (define @t230 () (not @t229)) % 281.64/281.93 (define @t231 () (tptp.apply tptp.member_predicate @t2 @t15)) % 281.64/281.93 (define @t232 () (not @t231)) % 281.64/281.93 (define @t233 () (not @t75)) % 281.64/281.93 (define @t234 () (_ @t98 @t64 @t15)) % 281.64/281.93 (define @t235 () (not @t234)) % 281.64/281.93 (define @t236 () (_ @t98 @t18 @t15)) % 281.64/281.93 (define @t237 () (not @t236)) % 281.64/281.93 (define @t238 () (_ @t98 @t2 @t15)) % 281.64/281.93 (define @t239 () (not @t238)) % 281.64/281.93 (define @t240 () (or @t239 @t237 @t235 @t227 @t226 @t65)) % 281.64/281.93 (define @t241 () (forall @t73 @t240)) % 281.64/281.93 (define @t242 () (or @t239 @t237 @t227 @t233)) % 281.64/281.93 (define @t243 () (forall @t62 @t242)) % 281.64/281.93 (define @t244 () (and @t243 @t241)) % 281.64/281.93 (define @t245 () (= @t43 @t244)) % 281.64/281.93 (define @t246 () (not @t70)) % 281.64/281.93 (define @t247 () (not @t71)) % 281.64/281.93 (define @t248 () (or @t214 @t247 @t246 @t227 @t226 @t65)) % 281.64/281.93 (define @t249 () (forall @t73 @t248)) % 281.64/281.93 (define @t250 () (or @t214 @t247 @t227 @t233)) % 281.64/281.93 (define @t251 () (forall @t62 @t250)) % 281.64/281.93 (define @t252 () (and @t251 @t249)) % 281.64/281.93 (define @t253 () (= @t43 @t252)) % 281.64/281.93 (define @t254 () (or @t227 @t226 @t65)) % 281.64/281.93 (define @t255 () (or @t214 @t247 @t246)) % 281.64/281.93 (define @t256 () (and (tptp.strict_order @t191 @t192) @t225)) % 281.64/281.93 (define @t257 () (lambda @t195 @t256)) % 281.64/281.93 (define @t258 () (not (forall @t21 (not @t36)))) % 281.64/281.93 (define @t259 () (forall @t6 (or @t205 @t52))) % 281.64/281.93 (define @t260 () (_ @t204 @t4 @t15)) % 281.64/281.93 (define @t261 () (not @t260)) % 281.64/281.93 (define @t262 () (or @t261 @t220 @t258)) % 281.64/281.93 (define @t263 () (forall @t196 @t262)) % 281.64/281.93 (define @t264 () (and @t43 @t263)) % 281.64/281.93 (define @t265 () (= @t45 @t264)) % 281.64/281.93 (define @t266 () (not @t39)) % 281.64/281.93 (define @t267 () (or @t266 @t220 @t258)) % 281.64/281.93 (define @t268 () (forall @t196 @t267)) % 281.64/281.93 (define @t269 () (and @t43 @t268)) % 281.64/281.93 (define @t270 () (= @t45 @t269)) % 281.64/281.93 (define @t271 () (@list @t118)) % 281.64/281.93 (define @t272 () (forall @t271 @t267)) % 281.64/281.93 (define @t273 () (forall @t271 @t220)) % 281.64/281.93 (define @t274 () (or @t266 @t273 @t258)) % 281.64/281.93 (define @t275 () (forall @t6 @t205)) % 281.64/281.93 (define @t276 () (or @t266 @t275 @t258)) % 281.64/281.93 (define @t277 () (not @t275)) % 281.64/281.93 (define @t278 () (not @t277)) % 281.64/281.93 (define @t279 () (and @t39 @t277)) % 281.64/281.93 (define @t280 () (and @t29 @t28 @t207)) % 281.64/281.93 (define @t281 () (= @t31 @t280)) % 281.64/281.93 (define @t282 () (tptp.apply tptp.member_predicate @t23 tptp.on)) % 281.64/281.93 (define @t283 () (@var "BOUND_VARIABLE_7747" $$unsorted)) % 281.64/281.93 (define @t284 () (tptp.apply tptp.member_predicate @t283 @t4)) % 281.64/281.93 (define @t285 () (not @t29)) % 281.64/281.93 (define @t286 () (tptp.apply tptp.member_predicate @t2 tptp.on)) % 281.64/281.93 (define @t287 () (@list @t4 @t283)) % 281.64/281.93 (define @t288 () (forall @t287 (or (not (forall @t6 (or @t106 @t286))) @t285 (not @t284) @t282))) % 281.64/281.93 (define @t289 () (@quantifiers_skolemize @t288 0)) % 281.64/281.93 (define @t290 () (tptp.product @t289)) % 281.64/281.93 (define @t291 () (tptp.apply tptp.member_predicate @t2 @t290)) % 281.64/281.93 (define @t292 () (not @t291)) % 281.64/281.93 (define @t293 () (forall @t127 (or @t292 @t125 (tptp.apply tptp.member_predicate @t123 @t290)))) % 281.64/281.93 (define @t294 () (@quantifiers_skolemize @t293 1)) % 281.64/281.93 (define @t295 () (not (tptp.apply tptp.member_predicate @t18 @t289))) % 281.64/281.93 (define @t296 () (forall @t21 (or @t295 (tptp.apply tptp.member_predicate @t294 @t18)))) % 281.64/281.93 (define @t297 () (@quantifiers_skolemize @t296 0)) % 281.64/281.93 (define @t298 () (not (tptp.apply tptp.member_predicate @t18 @t297))) % 281.64/281.93 (define @t299 () (tptp.apply tptp.member_predicate @t2 @t297)) % 281.64/281.93 (define @t300 () (not @t299)) % 281.64/281.93 (define @t301 () (forall @t127 (or @t300 @t125 (tptp.apply tptp.member_predicate @t123 @t297)))) % 281.64/281.93 (define @t302 () (and (tptp.set @t297) @t301 (forall @t121 (or (not (forall @t6 (or @t114 @t299))) @t120 @t117)) (forall @t62 (or @t300 @t298 @t102 @t109)) (forall @t73 (or @t300 @t298 (not (tptp.apply tptp.member_predicate @t64 @t297)) @t102 @t101 @t100)))) % 281.64/281.93 (define @t303 () (tptp.apply tptp.member_predicate @t297 tptp.on)) % 281.64/281.93 (define @t304 () (forall @t33 (= @t129 @t95))) % 281.64/281.93 (define @t305 () (= @t302 @t303)) % 281.64/281.93 (define @t306 () (@list @t297)) % 281.64/281.93 (define @t307 () (= @t303 @t302)) % 281.64/281.93 (define @t308 () (@list false)) % 281.64/281.93 (define @t309 () (@list @t304)) % 281.64/281.93 (define @t310 () (_ @t98 @t23 tptp.on)) % 281.64/281.93 (define @t311 () (_ @t98 @t283 @t4)) % 281.64/281.93 (define @t312 () (not @t311)) % 281.64/281.93 (define @t313 () (_ @t98 @t2 tptp.on)) % 281.64/281.93 (define @t314 () (or @t155 @t313)) % 281.64/281.93 (define @t315 () (forall @t6 @t314)) % 281.64/281.93 (define @t316 () (_ @t153 @t4 tptp.on)) % 281.64/281.93 (define @t317 () (not @t316)) % 281.64/281.93 (define @t318 () (or @t317 @t285 @t312 @t310)) % 281.64/281.93 (define @t319 () (forall @t287 @t318)) % 281.64/281.93 (define @t320 () (not (tptp.member @t283 @t4))) % 281.64/281.93 (define @t321 () (not @t90)) % 281.64/281.93 (define @t322 () (or @t321 @t285 @t320 @t89)) % 281.64/281.93 (define @t323 () (forall @t287 @t322)) % 281.64/281.93 (define @t324 () (@list @t283)) % 281.64/281.93 (define @t325 () (forall @t324 @t322)) % 281.64/281.93 (define @t326 () (forall @t324 @t320)) % 281.64/281.93 (define @t327 () (or @t321 @t285 @t326 @t89)) % 281.64/281.93 (define @t328 () (or @t321 @t285 @t275 @t89)) % 281.64/281.93 (define @t329 () (or @t321 @t285 @t278)) % 281.64/281.93 (define @t330 () (and @t90 @t29 @t277)) % 281.64/281.93 (define @t331 () (forall @t6 (or (not (tptp.apply tptp.member_predicate @t2 @t289)) @t286))) % 281.64/281.93 (define @t332 () (tptp.apply tptp.member_predicate @t290 tptp.on)) % 281.64/281.93 (define @t333 () (@quantifiers_skolemize @t288 1)) % 281.64/281.93 (define @t334 () (tptp.apply tptp.member_predicate @t333 @t289)) % 281.64/281.93 (define @t335 () (not @t334)) % 281.64/281.93 (define @t336 () (tptp.set @t289)) % 281.64/281.93 (define @t337 () (not @t336)) % 281.64/281.93 (define @t338 () (not @t331)) % 281.64/281.93 (define @t339 () (or @t338 @t337 @t335 @t332)) % 281.64/281.93 (define @t340 () (@list true)) % 281.64/281.93 (define @t341 () (@list @t339)) % 281.64/281.93 (define @t342 () (tptp.apply tptp.member_predicate @t2 @t23)) % 281.64/281.93 (define @t343 () (_ @t98 @t2 @t23)) % 281.64/281.93 (define @t344 () (_ @t98 @t2 @t18)) % 281.64/281.93 (define @t345 () (_ @t98 @t18 @t4)) % 281.64/281.93 (define @t346 () (not @t345)) % 281.64/281.93 (define @t347 () (or @t346 @t344)) % 281.64/281.93 (define @t348 () (forall @t21 @t347)) % 281.64/281.93 (define @t349 () (not @t20)) % 281.64/281.93 (define @t350 () (or @t349 @t19)) % 281.64/281.93 (define @t351 () (forall @t21 @t350)) % 281.64/281.93 (define @t352 () (= @t24 @t351)) % 281.64/281.93 (define @t353 () (tptp.apply tptp.member_predicate @t294 @t290)) % 281.64/281.93 (define @t354 () (forall @t13 (= (forall @t21 (or @t104 @t61)) @t342))) % 281.64/281.93 (define @t355 () (= @t296 @t353)) % 281.64/281.93 (define @t356 () (= @t353 @t296)) % 281.64/281.93 (define @t357 () (@list @t354)) % 281.64/281.93 (define @t358 () (not (tptp.apply tptp.member_predicate @t18 @t290))) % 281.64/281.93 (define @t359 () (forall @t73 (or @t292 @t358 (not (tptp.apply tptp.member_predicate @t64 @t290)) @t102 @t101 @t100))) % 281.64/281.93 (define @t360 () (@quantifiers_skolemize @t359 0)) % 281.64/281.93 (define @t361 () (tptp.apply tptp.member_predicate @t360 @t290)) % 281.64/281.93 (define @t362 () (@quantifiers_skolemize @t359 2)) % 281.64/281.93 (define @t363 () (tptp.apply tptp.member_predicate @t360 @t362)) % 281.64/281.93 (define @t364 () (@quantifiers_skolemize @t359 1)) % 281.64/281.93 (define @t365 () (tptp.apply tptp.member_predicate @t364 @t362)) % 281.64/281.93 (define @t366 () (not @t365)) % 281.64/281.93 (define @t367 () (tptp.apply tptp.member_predicate @t360 @t364)) % 281.64/281.93 (define @t368 () (not @t367)) % 281.64/281.93 (define @t369 () (tptp.apply tptp.member_predicate @t362 @t290)) % 281.64/281.93 (define @t370 () (not @t369)) % 281.64/281.93 (define @t371 () (tptp.apply tptp.member_predicate @t364 @t290)) % 281.64/281.93 (define @t372 () (not @t371)) % 281.64/281.93 (define @t373 () (not @t361)) % 281.64/281.93 (define @t374 () (or @t373 @t372 @t370 @t368 @t366 @t363)) % 281.64/281.93 (define @t375 () (tptp.apply tptp.member_predicate @t2 @t333)) % 281.64/281.93 (define @t376 () (forall @t6 (or @t292 @t375))) % 281.64/281.93 (define @t377 () (@quantifiers_skolemize @t376 0)) % 281.64/281.93 (define @t378 () (tptp.apply tptp.member_predicate @t377 @t290)) % 281.64/281.93 (define @t379 () (tptp.apply tptp.member_predicate @t377 @t333)) % 281.64/281.93 (define @t380 () (not @t378)) % 281.64/281.93 (define @t381 () (or @t380 @t379)) % 281.64/281.93 (define @t382 () (@var "BOUND_VARIABLE_8073" $$unsorted)) % 281.64/281.93 (define @t383 () (tptp.apply tptp.member_predicate @t382 @t2)) % 281.64/281.93 (define @t384 () (not (tptp.apply tptp.member_predicate @t382 @t23))) % 281.64/281.93 (define @t385 () (or @t384 @t383)) % 281.64/281.93 (define @t386 () (or @t106 @t385)) % 281.64/281.93 (define @t387 () (forall (@list @t4 @t2 @t382) @t386)) % 281.64/281.93 (define @t388 () (@list @t382)) % 281.64/281.93 (define @t389 () (forall @t388 @t386)) % 281.64/281.93 (define @t390 () (forall @t388 @t385)) % 281.64/281.93 (define @t391 () (@var "BOUND_VARIABLE_8051" $$unsorted)) % 281.64/281.93 (define @t392 () (@list @t391)) % 281.64/281.93 (define @t393 () (or @t106 @t390)) % 281.64/281.93 (define @t394 () (tptp.apply tptp.member_predicate @t391 @t2)) % 281.64/281.93 (define @t395 () (tptp.apply tptp.member_predicate @t391 @t23)) % 281.64/281.93 (define @t396 () (@list @t391)) % 281.64/281.93 (define @t397 () (_ @t98 @t391 @t2)) % 281.64/281.93 (define @t398 () (_ @t98 @t391 @t23)) % 281.64/281.93 (define @t399 () (not @t398)) % 281.64/281.93 (define @t400 () (or @t399 @t397)) % 281.64/281.93 (define @t401 () (forall @t396 @t400)) % 281.64/281.93 (define @t402 () (or @t155 (_ @t153 @t23 @t2))) % 281.64/281.93 (define @t403 () (or @t205 @t87)) % 281.64/281.93 (define @t404 () (or @t335 @t380 @t379)) % 281.64/281.93 (define @t405 () (not @t381)) % 281.64/281.93 (define @t406 () (not @t376)) % 281.64/281.93 (define @t407 () (tptp.apply tptp.member_predicate @t360 @t333)) % 281.64/281.93 (define @t408 () (or @t373 @t407)) % 281.64/281.93 (define @t409 () (@list @t376)) % 281.64/281.93 (define @t410 () (tptp.apply tptp.member_predicate @t364 @t333)) % 281.64/281.93 (define @t411 () (or @t372 @t410)) % 281.64/281.93 (define @t412 () (tptp.apply tptp.member_predicate @t362 @t333)) % 281.64/281.93 (define @t413 () (or @t370 @t412)) % 281.64/281.93 (define @t414 () (not (tptp.apply tptp.member_predicate @t18 @t333))) % 281.64/281.93 (define @t415 () (not @t375)) % 281.64/281.93 (define @t416 () (forall @t73 (or @t415 @t414 (not (tptp.apply tptp.member_predicate @t64 @t333)) @t102 @t101 @t100))) % 281.64/281.93 (define @t417 () (forall @t62 (or @t415 @t414 @t102 @t109))) % 281.64/281.93 (define @t418 () (forall @t121 (or (not (forall @t6 (or @t114 @t375))) @t120 @t117))) % 281.64/281.93 (define @t419 () (and (tptp.set @t333) (forall @t127 (or @t415 @t125 (tptp.apply tptp.member_predicate @t123 @t333))) @t418 @t417 @t416)) % 281.64/281.93 (define @t420 () (tptp.apply tptp.member_predicate @t333 tptp.on)) % 281.64/281.93 (define @t421 () (= @t419 @t420)) % 281.64/281.93 (define @t422 () (@list @t333)) % 281.64/281.93 (define @t423 () (= @t420 @t419)) % 281.64/281.93 (define @t424 () (or @t335 @t420)) % 281.64/281.93 (define @t425 () (@list false false)) % 281.64/281.93 (define @t426 () (not @t419)) % 281.64/281.93 (define @t427 () (@list @t419)) % 281.64/281.93 (define @t428 () (not @t412)) % 281.64/281.93 (define @t429 () (not @t410)) % 281.64/281.93 (define @t430 () (not @t407)) % 281.64/281.93 (define @t431 () (or @t430 @t429 @t428 @t368 @t366 @t363)) % 281.64/281.93 (define @t432 () (not @t374)) % 281.64/281.93 (define @t433 () (not @t359)) % 281.64/281.93 (define @t434 () (forall @t62 (or @t292 @t358 @t102 @t109))) % 281.64/281.93 (define @t435 () (@quantifiers_skolemize @t434 0)) % 281.64/281.93 (define @t436 () (tptp.apply tptp.member_predicate @t435 @t290)) % 281.64/281.93 (define @t437 () (@quantifiers_skolemize @t434 1)) % 281.64/281.93 (define @t438 () (tptp.apply tptp.member_predicate @t437 @t435)) % 281.64/281.93 (define @t439 () (not @t438)) % 281.64/281.93 (define @t440 () (tptp.apply tptp.member_predicate @t435 @t437)) % 281.64/281.93 (define @t441 () (not @t440)) % 281.64/281.93 (define @t442 () (tptp.apply tptp.member_predicate @t437 @t290)) % 281.64/281.93 (define @t443 () (not @t442)) % 281.64/281.93 (define @t444 () (not @t436)) % 281.64/281.93 (define @t445 () (or @t444 @t443 @t441 @t439)) % 281.64/281.93 (define @t446 () (tptp.apply tptp.member_predicate @t435 @t333)) % 281.64/281.93 (define @t447 () (or @t444 @t446)) % 281.64/281.93 (define @t448 () (tptp.apply tptp.member_predicate @t437 @t333)) % 281.64/281.93 (define @t449 () (or @t443 @t448)) % 281.64/281.93 (define @t450 () (not @t448)) % 281.64/281.93 (define @t451 () (not @t446)) % 281.64/281.93 (define @t452 () (or @t451 @t450 @t441 @t439)) % 281.64/281.93 (define @t453 () (not @t445)) % 281.64/281.93 (define @t454 () (not @t434)) % 281.64/281.93 (define @t455 () (forall @t121 (or (not (forall @t6 (or @t114 @t291))) @t120 @t117))) % 281.64/281.93 (define @t456 () (@quantifiers_skolemize @t455 0)) % 281.64/281.93 (define @t457 () (not (tptp.apply tptp.member_predicate @t2 @t456))) % 281.64/281.93 (define @t458 () (forall @t6 (or @t457 @t291))) % 281.64/281.93 (define @t459 () (forall @t21 (or (not (tptp.apply tptp.member_predicate @t18 @t456)) (not (forall @t6 (or @t457 @t111 @t108)))))) % 281.64/281.93 (define @t460 () (not @t459)) % 281.64/281.93 (define @t461 () (@quantifiers_skolemize @t455 1)) % 281.64/281.93 (define @t462 () (tptp.apply tptp.member_predicate @t461 @t456)) % 281.64/281.93 (define @t463 () (not @t462)) % 281.64/281.93 (define @t464 () (not @t458)) % 281.64/281.93 (define @t465 () (or @t464 @t463 @t460)) % 281.64/281.93 (define @t466 () (forall @t6 (or @t457 @t375))) % 281.64/281.93 (define @t467 () (@quantifiers_skolemize @t466 0)) % 281.64/281.93 (define @t468 () (@list @t467)) % 281.64/281.93 (define @t469 () (tptp.apply tptp.member_predicate @t467 @t290)) % 281.64/281.93 (define @t470 () (tptp.apply tptp.member_predicate @t467 @t456)) % 281.64/281.93 (define @t471 () (not @t470)) % 281.64/281.93 (define @t472 () (or @t471 @t469)) % 281.64/281.93 (define @t473 () (not @t466)) % 281.64/281.93 (define @t474 () (or @t473 @t463 @t460)) % 281.64/281.93 (define @t475 () (tptp.apply tptp.member_predicate @t467 @t333)) % 281.64/281.93 (define @t476 () (or @t471 @t475)) % 281.64/281.93 (define @t477 () (not @t476)) % 281.64/281.93 (define @t478 () (not @t469)) % 281.64/281.93 (define @t479 () (or @t478 @t475)) % 281.64/281.93 (define @t480 () (not @t465)) % 281.64/281.93 (define @t481 () (not @t455)) % 281.64/281.93 (define @t482 () (tptp.set @t290)) % 281.64/281.93 (define @t483 () (or @t337 @t482)) % 281.64/281.93 (define @t484 () (and @t482 @t293 @t455 @t434 @t359)) % 281.64/281.93 (define @t485 () (= @t484 @t332)) % 281.64/281.93 (define @t486 () (= @t332 @t484)) % 281.64/281.93 (define @t487 () (not @t484)) % 281.64/281.93 (define @t488 () (@list true false)) % 281.64/281.93 (define @t489 () (not @t293)) % 281.64/281.93 (define @t490 () (@quantifiers_skolemize @t293 0)) % 281.64/281.93 (define @t491 () (tptp.apply tptp.member_predicate @t294 @t490)) % 281.64/281.93 (define @t492 () (not @t491)) % 281.64/281.93 (define @t493 () (tptp.apply tptp.member_predicate @t490 @t290)) % 281.64/281.93 (define @t494 () (not @t493)) % 281.64/281.93 (define @t495 () (or @t494 @t492 @t353)) % 281.64/281.93 (define @t496 () (not @t495)) % 281.64/281.93 (define @t497 () (@list @t495)) % 281.64/281.93 (define @t498 () (not @t296)) % 281.64/281.93 (define @t499 () (tptp.apply tptp.member_predicate @t294 @t297)) % 281.64/281.93 (define @t500 () (tptp.apply tptp.member_predicate @t297 @t289)) % 281.64/281.93 (define @t501 () (not @t500)) % 281.64/281.93 (define @t502 () (or @t501 @t499)) % 281.64/281.93 (define @t503 () (not @t502)) % 281.64/281.93 (define @t504 () (@list @t502)) % 281.64/281.93 (define @t505 () (or @t501 @t303)) % 281.64/281.93 (define @t506 () (forall @t21 (or @t295 (tptp.apply tptp.member_predicate @t490 @t18)))) % 281.64/281.93 (define @t507 () (= @t506 @t493)) % 281.64/281.93 (define @t508 () (= @t493 @t506)) % 281.64/281.93 (define @t509 () (tptp.apply tptp.member_predicate @t490 @t297)) % 281.64/281.93 (define @t510 () (or @t501 @t509)) % 281.64/281.93 (define @t511 () (not @t509)) % 281.64/281.93 (define @t512 () (or @t511 @t492 @t499)) % 281.64/281.93 (define @t513 () (not @t512)) % 281.64/281.93 (assume @p1 @t11) % 281.64/281.93 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 281.64/281.93 (assume @p3 (forall @t13 (= (tptp.member @t2 (tptp.power_set @t4)) @t12))) % 281.64/281.93 (assume @p4 (forall @t14 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 281.64/281.93 (assume @p5 (forall @t14 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 281.64/281.93 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 281.64/281.93 (assume @p7 (forall (@list @t1 @t4 @t15) (= (tptp.member @t1 (tptp.difference @t15 @t4)) (and (tptp.member @t1 @t15) (not (tptp.member @t1 @t4)))))) % 281.64/281.93 (assume @p8 (forall @t13 (= (tptp.member @t2 @t17) @t16))) % 281.64/281.93 (assume @p9 (forall @t14 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t16 (= @t2 @t1))))) % 281.64/281.93 (assume @p10 (forall @t13 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t21 (and @t20 @t19))))) % 281.64/281.93 (assume @p11 @t26) % 281.64/281.93 (assume @p12 @t34) % 281.64/281.93 (assume @p13 @t48) % 281.64/281.93 (assume @p14 @t60) % 281.64/281.93 (assume @p15 @t63) % 281.64/281.93 (assume @p16 @t81) % 281.64/281.93 (assume @p17 (forall @t6 (=> @t82 (forall @t21 (=> (tptp.member @t18 @t2) (tptp.set @t18)))))) % 281.64/281.93 (assume @p18 (forall (@list @t2 @t35 @t4 @t18) (= (tptp.member @t18 (tptp.initial_segment @t2 @t35 @t4)) (and @t20 @t75)))) % 281.64/281.93 (assume @p19 (forall @t83 (= (tptp.member @t2 (tptp.suc @t4)) (tptp.member @t2 (tptp.union @t4 @t17))))) % 281.64/281.93 (assume @p20 (forall (@list @t4 @t1 @t84) (=> (and @t8 (tptp.subset @t1 @t84)) (tptp.subset @t4 @t84)))) % 281.64/281.93 (assume @p21 @t86) % 281.64/281.93 (assume @p22 @t88) % 281.64/281.93 (assume @p23 @t94) % 281.64/281.93 (assume @p24 true) % 281.64/281.93 (step @p25 :rule beta-reduce :args ((= @t99 @t95))) % 281.64/281.93 (step @p26 :rule aci_norm :args ((= (and @t29 @t130 @t128) @t129))) % 281.64/281.93 (step @p27 :rule aci_norm :args ((= @t132 @t126))) % 281.64/281.93 (step @p28 :rule cong :premises (@p27) :args (@t133)) % 281.64/281.93 (step @p29 :rule quant-merge-prenex :args ((= (forall @t6 @t135) @t133))) % 281.64/281.93 (step @p30 :rule alpha_equiv :args (@t136 (@list @t123) @t138)) % 281.64/281.93 (step @p31 :rule refl :args (@t106)) % 281.64/281.93 (step @p32 :rule nary_cong :premises (@p31 @p30) :args (@t139)) % 281.64/281.93 (step @p33 :rule quant-miniscope-or :args ((= @t135 @t139))) % 281.64/281.93 (step @p34 :rule trans :premises (@p33 @p32)) % 281.64/281.93 (step @p35 :rule symm :premises (@p34)) % 281.64/281.93 (step @p36 :rule cong :premises (@p35) :args ((forall @t6 (or @t106 (forall @t142 (or (not @t141) @t140)))))) % 281.64/281.93 (step @p37 :rule trans :premises (@p36 @p29)) % 281.64/281.93 (step @p38 :rule trans :premises (@p37 @p28)) % 281.64/281.93 (step @p39 :rule beta-reduce :args ((= @t143 @t140))) % 281.64/281.93 (step @p40 :rule beta-reduce :args ((= @t144 @t141))) % 281.64/281.93 (step @p41 :rule cong :premises (@p40) :args (@t145)) % 281.64/281.93 (step @p42 :rule nary_cong :premises (@p41 @p39) :args (@t146)) % 281.64/281.93 (step @p43 :rule cong :premises (@p42) :args (@t147)) % 281.64/281.93 (step @p44 :rule beta-reduce :args ((= (_ (lambda @t150 (forall @t142 (or (not (_ @t98 @t137 @t149)) (_ @t98 @t137 @t148)))) @t2 @t4) @t147))) % 281.64/281.93 (step @p45 :rule trans :premises (@p44 @p43)) % 281.64/281.93 (step @p46 :rule refl :args (@t4)) % 281.64/281.93 (step @p47 :rule refl :args (@t2)) % 281.64/281.93 (step @p48 :rule alpha_equiv :args (@t151 @t152 @t138)) % 281.64/281.93 (step @p49 :rule cong :premises (@p48) :args (@t153)) % 281.64/281.93 (step @p50 :rule ho_cong :premises (@p49 @p47 @p46)) % 281.64/281.93 (step @p51 :rule trans :premises (@p50 @p45)) % 281.64/281.93 (step @p52 :rule beta-reduce :args ((= @t154 @t105))) % 281.64/281.93 (step @p53 :rule cong :premises (@p52) :args (@t155)) % 281.64/281.93 (step @p54 :rule nary_cong :premises (@p53 @p51) :args (@t156)) % 281.64/281.93 (step @p55 :rule cong :premises (@p54) :args (@t157)) % 281.64/281.93 (step @p56 :rule trans :premises (@p55 @p38)) % 281.64/281.93 (step @p57 :rule aci_norm :args ((= (and @t158 @t122) @t130))) % 281.64/281.93 (step @p58 :rule bool-and-de-morgan :args (@t116 @t115 true)) % 281.64/281.93 (step @p59 :rule cong :premises (@p58) :args ((forall @t21 (not (and @t116 @t115))))) % 281.64/281.93 (step @p60 :rule refl :args (@t108)) % 281.64/281.93 (step @p61 :rule refl :args (@t111)) % 281.64/281.93 (step @p62 :rule beta-reduce :args ((= @t159 @t113))) % 281.64/281.93 (step @p63 :rule cong :premises (@p62) :args (@t160)) % 281.64/281.93 (step @p64 :rule nary_cong :premises (@p63 @p61 @p60) :args (@t161)) % 281.64/281.93 (step @p65 :rule cong :premises (@p64) :args (@t162)) % 281.64/281.93 (step @p66 :rule beta-reduce :args ((= @t163 @t116))) % 281.64/281.93 (step @p67 :rule nary_cong :premises (@p66 @p65) :args (@t164)) % 281.64/281.93 (step @p68 :rule beta-reduce :args ((= @t172 @t164))) % 281.64/281.93 (step @p69 :rule trans :premises (@p68 @p67)) % 281.64/281.93 (step @p70 :rule cong :premises (@p69) :args (@t173)) % 281.64/281.93 (step @p71 :rule cong :premises (@p70) :args (@t174)) % 281.64/281.93 (step @p72 :rule trans :premises (@p71 @p59)) % 281.64/281.93 (step @p73 :rule cong :premises (@p72) :args (@t175)) % 281.64/281.93 (step @p74 :rule beta-reduce :args ((= @t176 @t119))) % 281.64/281.93 (step @p75 :rule cong :premises (@p74) :args (@t177)) % 281.64/281.93 (step @p76 :rule nary_cong :premises (@p63 @p52) :args (@t178)) % 281.64/281.93 (step @p77 :rule cong :premises (@p76) :args (@t179)) % 281.64/281.93 (step @p78 :rule cong :premises (@p77) :args (@t180)) % 281.64/281.93 (step @p79 :rule nary_cong :premises (@p78 @p75 @p73) :args (@t181)) % 281.64/281.93 (step @p80 :rule cong :premises (@p79) :args (@t182)) % 281.64/281.93 (step @p81 :rule beta-reduce :args ((= @t189 @t158))) % 281.64/281.93 (step @p82 :rule nary_cong :premises (@p81 @p80) :args (@t190)) % 281.64/281.93 (step @p83 :rule trans :premises (@p82 @p57)) % 281.64/281.93 (step @p84 :rule beta-reduce :args ((= (_ (lambda @t195 (and @t194 (forall @t121 (or (not (forall @t6 (or @t160 @t193))) @t177 (not (forall @t21 (not (_ @t171 @t18 @t191 @t112)))))))) tptp.member_predicate @t4) @t190))) % 281.64/281.93 (step @p85 :rule trans :premises (@p84 @p83)) % 281.64/281.93 (step @p86 :rule refl :args (tptp.member_predicate)) % 281.64/281.93 (step @p87 :rule alpha_equiv :args (@t197 (@list @t4) (@list @t112))) % 281.64/281.93 (step @p88 :rule refl :args (@t194)) % 281.64/281.93 (step @p89 :rule nary_cong :premises (@p88 @p87) :args (@t198)) % 281.64/281.93 (step @p90 :rule cong :premises (@p89) :args (@t199)) % 281.64/281.93 (step @p91 :rule ho_cong :premises (@p90 @p86 @p46)) % 281.64/281.93 (step @p92 :rule trans :premises (@p91 @p85)) % 281.64/281.93 (step @p93 :rule refl :args (@t29)) % 281.64/281.93 (step @p94 :rule nary_cong :premises (@p93 @p92 @p56) :args (@t200)) % 281.64/281.93 (step @p95 :rule trans :premises (@p94 @p26)) % 281.64/281.93 (step @p96 :rule cong :premises (@p95 @p25) :args ((= @t200 @t99))) % 281.64/281.93 (step @p97 :rule eq-symm :args (@t99 @t200)) % 281.64/281.93 (step @p98 :rule trans :premises (@p97 @p96)) % 281.64/281.93 (step @p99 :rule cong :premises (@p98) :args ((forall @t33 (= @t99 @t200)))) % 281.64/281.93 (step @p100 :rule refl :args (@t4)) % 281.64/281.93 (step @p101 :rule refl :args (@t2)) % 281.64/281.93 (step @p102 :rule refl :args (@t148)) % 281.64/281.93 ; WARNING: add trust step for TRUST % 281.64/281.93 ; trust TRUST SUBS_EQ % 281.64/281.93 (step @p103 :rule trust :premises () :args ((= (forall @t62 (= @t19 @t61)) (= tptp.member @t98)))) % 281.64/281.93 (step @p104 :rule eq-symm :args (@t61 @t19)) % 281.64/281.93 (step @p105 :rule cong :premises (@p104) :args (@t63)) % 281.64/281.93 (step @p106 :rule eq_resolve :premises (@p15 @p105)) % 281.64/281.93 (step @p107 :rule eq_resolve :premises (@p106 @p103)) % 281.64/281.93 (step @p108 :rule ho_cong :premises (@p107 @p101 @p102)) % 281.64/281.93 (step @p109 :rule refl :args (@t149)) % 281.64/281.93 (step @p110 :rule ho_cong :premises (@p107 @p101 @p109)) % 281.64/281.93 (step @p111 :rule cong :premises (@p110) :args (@t201)) % 281.64/281.93 (step @p112 :rule nary_cong :premises (@p111 @p108) :args (@t202)) % 281.64/281.93 (step @p113 :rule cong :premises (@p112) :args (@t203)) % 281.64/281.93 (step @p114 :rule cong :premises (@p113) :args (@t204)) % 281.64/281.93 ; trust TRUST SUBS_EQ % 281.64/281.93 (step @p115 :rule trust :premises () :args ((= (forall @t10 (= @t8 (forall @t6 (or @t205 @t3)))) (= tptp.subset @t204)))) % 281.64/281.93 (step @p116 :rule bool-impl-elim :args (@t5 @t3)) % 281.64/281.93 (step @p117 :rule cong :premises (@p116) :args (@t7)) % 281.64/281.93 (step @p118 :rule refl :args (@t8)) % 281.64/281.93 (step @p119 :rule cong :premises (@p118 @p117) :args (@t9)) % 281.64/281.93 (step @p120 :rule cong :premises (@p119) :args (@t11)) % 281.64/281.93 (step @p121 :rule eq_resolve :premises (@p1 @p120)) % 281.64/281.93 (step @p122 :rule eq_resolve :premises (@p121 @p115)) % 281.64/281.93 (step @p123 :rule trans :premises (@p122 @p114)) % 281.64/281.93 (step @p124 :rule ho_cong :premises (@p123 @p101 @p100)) % 281.64/281.93 (step @p125 :rule ho_cong :premises (@p107 @p101 @p100)) % 281.64/281.93 (step @p126 :rule cong :premises (@p125) :args (@t205)) % 281.64/281.93 (step @p127 :rule nary_cong :premises (@p126 @p124) :args (@t206)) % 281.64/281.93 (step @p128 :rule cong :premises (@p127) :args (@t207)) % 281.64/281.93 (step @p129 :rule refl :args (tptp.member_predicate)) % 281.64/281.93 (step @p130 :rule refl :args (@t191)) % 281.64/281.93 (step @p131 :rule refl :args (@t18)) % 281.64/281.93 (step @p132 :rule refl :args (@t167)) % 281.64/281.93 (step @p133 :rule refl :args (@t168)) % 281.64/281.93 (step @p134 :rule refl :args (@t169)) % 281.64/281.93 (step @p135 :rule ho_cong :premises (@p107 @p101 @p134)) % 281.64/281.93 (step @p136 :rule cong :premises (@p135) :args (@t208)) % 281.64/281.93 (step @p137 :rule nary_cong :premises (@p136 @p133 @p132) :args (@t209)) % 281.64/281.93 (step @p138 :rule cong :premises (@p137) :args (@t210)) % 281.64/281.93 (step @p139 :rule refl :args (@t165)) % 281.64/281.93 (step @p140 :rule ho_cong :premises (@p107 @p139 @p134)) % 281.64/281.93 (step @p141 :rule nary_cong :premises (@p140 @p138) :args (@t211)) % 281.64/281.93 (step @p142 :rule cong :premises (@p141) :args (@t212)) % 281.64/281.93 ; trust TRUST SUBS_EQ % 281.64/281.93 (step @p143 :rule trust :premises () :args ((= (forall @t59 (= @t57 (and @t55 (forall @t6 @t215)))) (= tptp.least @t212)))) % 281.64/281.93 (step @p144 :rule aci_norm :args ((= (or @t214 @t216) @t215))) % 281.64/281.93 (step @p145 :rule bool-impl-elim :args (@t52 @t216)) % 281.64/281.93 (step @p146 :rule trans :premises (@p145 @p144)) % 281.64/281.93 (step @p147 :rule cong :premises (@p146) :args ((forall @t6 (=> @t52 @t216)))) % 281.64/281.93 (step @p148 :rule refl :args (@t50)) % 281.64/281.93 (step @p149 :rule eq-symm :args (@t49 @t2)) % 281.64/281.93 (step @p150 :rule nary_cong :premises (@p149 @p148) :args (@t51)) % 281.64/281.93 (step @p151 :rule refl :args (@t52)) % 281.64/281.93 (step @p152 :rule cong :premises (@p151 @p150) :args (@t53)) % 281.64/281.93 (step @p153 :rule cong :premises (@p152) :args (@t54)) % 281.64/281.93 (step @p154 :rule trans :premises (@p153 @p147)) % 281.64/281.93 (step @p155 :rule refl :args (@t55)) % 281.64/281.93 (step @p156 :rule nary_cong :premises (@p155 @p154) :args (@t56)) % 281.64/281.93 (step @p157 :rule refl :args (@t57)) % 281.64/281.93 (step @p158 :rule cong :premises (@p157 @p156) :args (@t58)) % 281.64/281.93 (step @p159 :rule cong :premises (@p158) :args (@t60)) % 281.64/281.93 (step @p160 :rule eq_resolve :premises (@p14 @p159)) % 281.64/281.93 (step @p161 :rule eq_resolve :premises (@p160 @p143)) % 281.64/281.93 (step @p162 :rule trans :premises (@p161 @p142)) % 281.64/281.93 (step @p163 :rule ho_cong :premises (@p162 @p131 @p130 @p100)) % 281.64/281.93 (step @p164 :rule cong :premises (@p163) :args (@t217)) % 281.64/281.93 (step @p165 :rule cong :premises (@p164) :args (@t218)) % 281.64/281.93 (step @p166 :rule cong :premises (@p165) :args (@t219)) % 281.64/281.93 (step @p167 :rule refl :args (@t118)) % 281.64/281.93 (step @p168 :rule ho_cong :premises (@p107 @p167 @p100)) % 281.64/281.93 (step @p169 :rule cong :premises (@p168) :args (@t220)) % 281.64/281.93 (step @p170 :rule refl :args (@t192)) % 281.64/281.93 (step @p171 :rule ho_cong :premises (@p107 @p101 @p170)) % 281.64/281.93 (step @p172 :rule nary_cong :premises (@p126 @p171) :args (@t221)) % 281.64/281.93 (step @p173 :rule cong :premises (@p172) :args (@t222)) % 281.64/281.93 (step @p174 :rule cong :premises (@p173) :args (@t223)) % 281.64/281.93 (step @p175 :rule nary_cong :premises (@p174 @p169 @p166) :args (@t224)) % 281.64/281.93 (step @p176 :rule cong :premises (@p175) :args (@t225)) % 281.64/281.93 ; trust TRUST SUBS_EQ % 281.64/281.93 (step @p177 :rule trust :premises () :args ((= (forall @t47 (= @t43 (and (forall @t62 (or @t232 @t230 @t227 @t233)) (forall @t73 (or @t232 @t230 (not @t228) @t227 @t226 @t65))))) (= tptp.strict_order @t188)))) % 281.64/281.93 (step @p178 :rule refl :args (@t65)) % 281.64/281.93 (step @p179 :rule refl :args (@t226)) % 281.64/281.93 (step @p180 :rule refl :args (@t227)) % 281.64/281.93 (step @p181 :rule beta-reduce :args ((= @t234 @t228))) % 281.64/281.93 (step @p182 :rule cong :premises (@p181) :args (@t235)) % 281.64/281.93 (step @p183 :rule beta-reduce :args ((= @t236 @t229))) % 281.64/281.93 (step @p184 :rule cong :premises (@p183) :args (@t237)) % 281.64/281.93 (step @p185 :rule beta-reduce :args ((= @t238 @t231))) % 281.64/281.93 (step @p186 :rule cong :premises (@p185) :args (@t239)) % 281.64/281.93 (step @p187 :rule nary_cong :premises (@p186 @p184 @p182 @p180 @p179 @p178) :args (@t240)) % 281.64/281.93 (step @p188 :rule cong :premises (@p187) :args (@t241)) % 281.64/281.93 (step @p189 :rule refl :args (@t233)) % 281.64/281.93 (step @p190 :rule nary_cong :premises (@p186 @p184 @p180 @p189) :args (@t242)) % 281.64/281.93 (step @p191 :rule cong :premises (@p190) :args (@t243)) % 281.64/281.93 (step @p192 :rule nary_cong :premises (@p191 @p188) :args (@t244)) % 281.64/281.93 (step @p193 :rule refl :args (@t43)) % 281.64/281.93 (step @p194 :rule cong :premises (@p193 @p192) :args (@t245)) % 281.64/281.93 (step @p195 :rule cong :premises (@p194) :args ((forall @t47 @t245))) % 281.64/281.93 (step @p196 :rule refl :args (@t15)) % 281.64/281.93 (step @p197 :rule refl :args (@t64)) % 281.64/281.93 (step @p198 :rule ho_cong :premises (@p107 @p197 @p196)) % 281.64/281.93 (step @p199 :rule cong :premises (@p198) :args (@t246)) % 281.64/281.93 (step @p200 :rule ho_cong :premises (@p107 @p131 @p196)) % 281.64/281.93 (step @p201 :rule cong :premises (@p200) :args (@t247)) % 281.64/281.93 (step @p202 :rule ho_cong :premises (@p107 @p101 @p196)) % 281.64/281.93 (step @p203 :rule cong :premises (@p202) :args (@t214)) % 281.64/281.93 (step @p204 :rule nary_cong :premises (@p203 @p201 @p199 @p180 @p179 @p178) :args (@t248)) % 281.64/281.93 (step @p205 :rule cong :premises (@p204) :args (@t249)) % 281.64/281.93 (step @p206 :rule nary_cong :premises (@p203 @p201 @p180 @p189) :args (@t250)) % 281.64/281.93 (step @p207 :rule cong :premises (@p206) :args (@t251)) % 281.64/281.93 (step @p208 :rule nary_cong :premises (@p207 @p205) :args (@t252)) % 281.64/281.93 (step @p209 :rule cong :premises (@p193 @p208) :args (@t253)) % 281.64/281.93 (step @p210 :rule cong :premises (@p209) :args ((forall @t47 @t253))) % 281.64/281.93 (step @p211 :rule trans :premises (@p210 @p195)) % 281.64/281.93 (step @p212 :rule aci_norm :args ((= (or @t255 @t254) @t248))) % 281.64/281.93 (step @p213 :rule aci_norm :args ((= (or (or @t227 @t226) @t65) @t254))) % 281.64/281.93 (step @p214 :rule refl :args (@t65)) % 281.64/281.93 (step @p215 :rule bool-and-de-morgan :args (@t67 @t66 true)) % 281.64/281.93 (step @p216 :rule nary_cong :premises (@p215 @p214) :args ((or (not @t68) @t65))) % 281.64/281.93 (step @p217 :rule trans :premises (@p216 @p213)) % 281.64/281.93 (step @p218 :rule bool-impl-elim :args (@t68 @t65)) % 281.64/281.93 (step @p219 :rule trans :premises (@p218 @p217)) % 281.64/281.93 (step @p220 :rule aci_norm :args ((= (or @t214 (or @t247 @t246)) @t255))) % 281.64/281.93 (step @p221 :rule bool-and-de-morgan :args (@t71 @t70 true)) % 281.64/281.93 (step @p222 :rule refl :args (@t214)) % 281.64/281.93 (step @p223 :rule nary_cong :premises (@p222 @p221) :args ((or @t214 (not (and @t71 @t70))))) % 281.64/281.93 (step @p224 :rule bool-and-de-morgan :args (@t52 @t71 (and @t70))) % 281.64/281.93 (step @p225 :rule trans :premises (@p224 @p223)) % 281.64/281.93 (step @p226 :rule trans :premises (@p225 @p220)) % 281.64/281.93 (step @p227 :rule nary_cong :premises (@p226 @p219) :args ((or (not @t72) @t69))) % 281.64/281.93 (step @p228 :rule trans :premises (@p227 @p212)) % 281.64/281.93 (step @p229 :rule bool-impl-elim :args (@t72 @t69)) % 281.64/281.93 (step @p230 :rule trans :premises (@p229 @p228)) % 281.64/281.93 (step @p231 :rule cong :premises (@p230) :args (@t74)) % 281.64/281.93 (step @p232 :rule aci_norm :args ((= (or (or @t214 @t247) (or @t227 @t233)) @t250))) % 281.64/281.93 (step @p233 :rule bool-and-de-morgan :args (@t67 @t75 true)) % 281.64/281.93 (step @p234 :rule bool-and-de-morgan :args (@t52 @t71 true)) % 281.64/281.93 (step @p235 :rule nary_cong :premises (@p234 @p233) :args ((or (not @t77) @t76))) % 281.64/281.93 (step @p236 :rule trans :premises (@p235 @p232)) % 281.64/281.93 (step @p237 :rule bool-impl-elim :args (@t77 @t76)) % 281.64/281.93 (step @p238 :rule trans :premises (@p237 @p236)) % 281.64/281.93 (step @p239 :rule cong :premises (@p238) :args (@t78)) % 281.64/281.93 (step @p240 :rule nary_cong :premises (@p239 @p231) :args (@t79)) % 281.64/281.93 (step @p241 :rule cong :premises (@p193 @p240) :args (@t80)) % 281.64/281.93 (step @p242 :rule cong :premises (@p241) :args (@t81)) % 281.64/281.93 (step @p243 :rule eq_resolve :premises (@p16 @p242)) % 281.64/281.93 (step @p244 :rule eq_resolve :premises (@p243 @p211)) % 281.64/281.93 (step @p245 :rule eq_resolve :premises (@p244 @p177)) % 281.64/281.93 (step @p246 :rule ho_cong :premises (@p245 @p130 @p170)) % 281.64/281.93 (step @p247 :rule nary_cong :premises (@p246 @p176) :args (@t256)) % 281.64/281.93 (step @p248 :rule cong :premises (@p247) :args (@t257)) % 281.64/281.93 ; trust TRUST SUBS_EQ % 281.64/281.93 (step @p249 :rule trust :premises () :args ((= (forall @t47 (= @t45 (and @t43 (forall @t196 (or (not @t259) @t220 @t258))))) (= tptp.strict_well_order @t257)))) % 281.64/281.93 (step @p250 :rule refl :args (@t258)) % 281.64/281.93 (step @p251 :rule refl :args (@t220)) % 281.64/281.93 (step @p252 :rule beta-reduce :args ((= @t260 @t259))) % 281.64/281.93 (step @p253 :rule cong :premises (@p252) :args (@t261)) % 281.64/281.93 (step @p254 :rule nary_cong :premises (@p253 @p251 @p250) :args (@t262)) % 281.64/281.93 (step @p255 :rule cong :premises (@p254) :args (@t263)) % 281.64/281.93 (step @p256 :rule nary_cong :premises (@p193 @p255) :args (@t264)) % 281.64/281.93 (step @p257 :rule refl :args (@t45)) % 281.64/281.93 (step @p258 :rule cong :premises (@p257 @p256) :args (@t265)) % 281.64/281.93 (step @p259 :rule cong :premises (@p258) :args ((forall @t47 @t265))) % 281.64/281.93 (step @p260 :rule ho_cong :premises (@p122 @p100 @p196)) % 281.64/281.93 (step @p261 :rule cong :premises (@p260) :args (@t266)) % 281.64/281.93 (step @p262 :rule nary_cong :premises (@p261 @p251 @p250) :args (@t267)) % 281.64/281.93 (step @p263 :rule cong :premises (@p262) :args (@t268)) % 281.64/281.93 (step @p264 :rule nary_cong :premises (@p193 @p263) :args (@t269)) % 281.64/281.93 (step @p265 :rule cong :premises (@p257 @p264) :args (@t270)) % 281.64/281.93 (step @p266 :rule cong :premises (@p265) :args ((forall @t47 @t270))) % 281.64/281.93 (step @p267 :rule trans :premises (@p266 @p259)) % 281.64/281.93 (step @p268 :rule quant-merge-prenex :args ((= (forall @t33 @t272) @t268))) % 281.64/281.93 (step @p269 :rule refl :args (@t258)) % 281.64/281.93 (step @p270 :rule alpha_equiv :args (@t273 (@list @t118) @t152)) % 281.64/281.93 (step @p271 :rule refl :args (@t266)) % 281.64/281.93 (step @p272 :rule nary_cong :premises (@p271 @p270 @p269) :args (@t274)) % 281.64/281.93 (step @p273 :rule quant-miniscope-or :args ((= @t272 @t274))) % 281.64/281.93 (step @p274 :rule trans :premises (@p273 @p272)) % 281.64/281.93 (step @p275 :rule symm :premises (@p274)) % 281.64/281.93 (step @p276 :rule cong :premises (@p275) :args ((forall @t33 @t276))) % 281.64/281.93 (step @p277 :rule trans :premises (@p276 @p268)) % 281.64/281.93 (step @p278 :rule aci_norm :args ((= (or (or @t266 @t275) @t258) @t276))) % 281.64/281.93 (step @p279 :rule bool-double-not-elim :args (@t275)) % 281.64/281.93 (step @p280 :rule nary_cong :premises (@p271 @p279) :args ((or @t266 @t278))) % 281.64/281.93 (step @p281 :rule bool-and-de-morgan :args (@t39 @t277 true)) % 281.64/281.93 (step @p282 :rule trans :premises (@p281 @p280)) % 281.64/281.93 (step @p283 :rule nary_cong :premises (@p282 @p269) :args ((or (not @t279) @t258))) % 281.64/281.93 (step @p284 :rule trans :premises (@p283 @p278)) % 281.64/281.93 (step @p285 :rule bool-impl-elim :args (@t279 @t258)) % 281.64/281.93 (step @p286 :rule trans :premises (@p285 @p284)) % 281.64/281.93 (step @p287 :rule cong :premises (@p286) :args ((forall @t33 (=> @t279 @t258)))) % 281.64/281.93 (step @p288 :rule trans :premises (@p287 @p277)) % 281.64/281.93 (step @p289 :rule exists-elim :args ((= @t37 @t258))) % 281.64/281.93 (step @p290 :rule exists-elim :args ((= @t38 @t277))) % 281.64/281.93 (step @p291 :rule refl :args (@t39)) % 281.64/281.93 (step @p292 :rule nary_cong :premises (@p291 @p290) :args (@t40)) % 281.64/281.93 (step @p293 :rule cong :premises (@p292 @p289) :args (@t41)) % 281.64/281.93 (step @p294 :rule cong :premises (@p293) :args (@t42)) % 281.64/281.93 (step @p295 :rule trans :premises (@p294 @p288)) % 281.64/281.93 (step @p296 :rule nary_cong :premises (@p193 @p295) :args (@t44)) % 281.64/281.93 (step @p297 :rule cong :premises (@p257 @p296) :args (@t46)) % 281.64/281.93 (step @p298 :rule cong :premises (@p297) :args (@t48)) % 281.64/281.93 (step @p299 :rule eq_resolve :premises (@p13 @p298)) % 281.64/281.93 (step @p300 :rule eq_resolve :premises (@p299 @p267)) % 281.64/281.93 (step @p301 :rule eq_resolve :premises (@p300 @p249)) % 281.64/281.93 (step @p302 :rule trans :premises (@p301 @p248)) % 281.64/281.93 (step @p303 :rule ho_cong :premises (@p302 @p129 @p100)) % 281.64/281.93 (step @p304 :rule nary_cong :premises (@p93 @p303 @p128) :args (@t280)) % 281.64/281.93 (step @p305 :rule refl :args (tptp.on)) % 281.64/281.93 (step @p306 :rule ho_cong :premises (@p107 @p100 @p305)) % 281.64/281.93 (step @p307 :rule cong :premises (@p306 @p304) :args (@t281)) % 281.64/281.93 (step @p308 :rule cong :premises (@p307) :args ((forall @t33 @t281))) % 281.64/281.93 (step @p309 :rule trans :premises (@p308 @p99)) % 281.64/281.93 (step @p310 :rule bool-impl-elim :args (@t5 @t12)) % 281.64/281.93 (step @p311 :rule cong :premises (@p310) :args (@t27)) % 281.64/281.93 (step @p312 :rule refl :args (@t28)) % 281.64/281.93 (step @p313 :rule nary_cong :premises (@p93 @p312 @p311) :args (@t30)) % 281.64/281.93 (step @p314 :rule refl :args (@t31)) % 281.64/281.93 (step @p315 :rule cong :premises (@p314 @p313) :args (@t32)) % 281.64/281.93 (step @p316 :rule cong :premises (@p315) :args (@t34)) % 281.64/281.93 (step @p317 :rule trans :premises (@p316 @p309)) % 281.64/281.93 (step @p318 :rule eq_resolve :premises (@p12 @p317)) % 281.64/281.93 (step @p319 :rule eq-symm :args (@t302 @t303)) % 281.64/281.93 (step @p320 :rule refl :args (@t304)) % 281.64/281.93 (step @p321 :rule cong :premises (@p320 @p319) :args ((=> @t304 @t305))) % 281.64/281.93 (assume-push @p811 @t304) % 281.64/281.93 (step @p323 :rule instantiate :premises (@p318) :args (@t306)) % 281.64/281.93 (step-pop @p812 :rule scope :premises (@p323)) % 281.64/281.93 (step @p324 :rule process_scope :premises (@p812) :args (@t305)) % 281.64/281.93 (step @p326 :rule eq_resolve :premises (@p324 @p321)) % 281.64/281.93 (step @p327 :rule implies_elim :premises (@p326)) % 281.64/281.93 (step @p328 :rule chain_m_resolution :premises (@p327 @p318) :args (@t307 @t308 @t309)) % 281.64/281.93 (step @p329 :rule beta-reduce :args ((= @t310 @t282))) % 281.64/281.93 (step @p330 :rule beta-reduce :args ((= @t311 @t284))) % 281.64/281.93 (step @p331 :rule cong :premises (@p330) :args (@t312)) % 281.64/281.93 (step @p332 :rule refl :args (@t285)) % 281.64/281.93 (step @p333 :rule beta-reduce :args ((= @t313 @t286))) % 281.64/281.93 (step @p334 :rule nary_cong :premises (@p53 @p333) :args (@t314)) % 281.64/281.93 (step @p335 :rule cong :premises (@p334) :args (@t315)) % 281.64/281.93 (step @p336 :rule beta-reduce :args ((= @t316 @t315))) % 281.64/281.93 (step @p337 :rule trans :premises (@p336 @p335)) % 281.64/281.93 (step @p338 :rule cong :premises (@p337) :args (@t317)) % 281.64/281.93 (step @p339 :rule nary_cong :premises (@p338 @p332 @p331 @p329) :args (@t318)) % 281.64/281.93 (step @p340 :rule cong :premises (@p339) :args (@t319)) % 281.64/281.93 (step @p341 :rule cong :premises (@p340) :args ((not @t319))) % 281.64/281.93 (step @p342 :rule refl :args (@t23)) % 281.64/281.93 (step @p343 :rule ho_cong :premises (@p107 @p342 @p305)) % 281.64/281.93 (step @p344 :rule refl :args (@t283)) % 281.64/281.93 (step @p345 :rule ho_cong :premises (@p107 @p344 @p100)) % 281.64/281.93 (step @p346 :rule cong :premises (@p345) :args (@t320)) % 281.64/281.93 (step @p347 :rule ho_cong :premises (@p123 @p100 @p305)) % 281.64/281.93 (step @p348 :rule cong :premises (@p347) :args (@t321)) % 281.64/281.93 (step @p349 :rule nary_cong :premises (@p348 @p332 @p346 @p343) :args (@t322)) % 281.64/281.93 (step @p350 :rule cong :premises (@p349) :args (@t323)) % 281.64/281.93 (step @p351 :rule cong :premises (@p350) :args ((not @t323))) % 281.64/281.93 (step @p352 :rule trans :premises (@p351 @p341)) % 281.64/281.93 (step @p353 :rule quant-merge-prenex :args ((= (forall @t33 @t325) @t323))) % 281.64/281.93 (step @p354 :rule refl :args (@t89)) % 281.64/281.93 (step @p355 :rule alpha_equiv :args (@t326 (@list @t283) @t152)) % 281.64/281.93 (step @p356 :rule refl :args (@t285)) % 281.64/281.93 (step @p357 :rule refl :args (@t321)) % 281.64/281.93 (step @p358 :rule nary_cong :premises (@p357 @p356 @p355 @p354) :args (@t327)) % 281.64/281.93 (step @p359 :rule quant-miniscope-or :args ((= @t325 @t327))) % 281.64/281.93 (step @p360 :rule trans :premises (@p359 @p358)) % 281.64/281.93 (step @p361 :rule symm :premises (@p360)) % 281.64/281.93 (step @p362 :rule cong :premises (@p361) :args ((forall @t33 @t328))) % 281.64/281.93 (step @p363 :rule trans :premises (@p362 @p353)) % 281.64/281.93 (step @p364 :rule aci_norm :args ((= (or (or @t321 @t285 @t275) @t89) @t328))) % 281.64/281.93 (step @p365 :rule nary_cong :premises (@p357 @p356 @p279) :args (@t329)) % 281.64/281.93 (step @p366 :rule aci_norm :args ((= (or @t321 (or @t285 @t278)) @t329))) % 281.64/281.93 (step @p367 :rule trans :premises (@p366 @p365)) % 281.64/281.93 (step @p368 :rule bool-and-de-morgan :args (@t29 @t277 true)) % 281.64/281.93 (step @p369 :rule nary_cong :premises (@p357 @p368) :args ((or @t321 (not (and @t29 @t277))))) % 281.64/281.93 (step @p370 :rule bool-and-de-morgan :args (@t90 @t29 (and @t277))) % 281.64/281.93 (step @p371 :rule trans :premises (@p370 @p369)) % 281.64/281.93 (step @p372 :rule trans :premises (@p371 @p367)) % 281.64/281.93 (step @p373 :rule nary_cong :premises (@p372 @p354) :args ((or (not @t330) @t89))) % 281.64/281.93 (step @p374 :rule trans :premises (@p373 @p364)) % 281.64/281.93 (step @p375 :rule bool-impl-elim :args (@t330 @t89)) % 281.64/281.93 (step @p376 :rule trans :premises (@p375 @p374)) % 281.64/281.93 (step @p377 :rule cong :premises (@p376) :args ((forall @t33 (=> @t330 @t89)))) % 281.64/281.93 (step @p378 :rule trans :premises (@p377 @p363)) % 281.64/281.93 (step @p379 :rule refl :args (@t89)) % 281.64/281.93 (step @p380 :rule refl :args (@t90)) % 281.64/281.93 (step @p381 :rule nary_cong :premises (@p380 @p93 @p290) :args (@t91)) % 281.64/281.93 (step @p382 :rule cong :premises (@p381 @p379) :args (@t92)) % 281.64/281.93 (step @p383 :rule cong :premises (@p382) :args (@t93)) % 281.64/281.93 (step @p384 :rule trans :premises (@p383 @p378)) % 281.64/281.93 (step @p385 :rule cong :premises (@p384) :args (@t94)) % 281.64/281.93 (step @p386 :rule trans :premises (@p385 @p352)) % 281.64/281.93 (step @p387 :rule eq_resolve :premises (@p23 @p386)) % 281.64/281.93 (step @p388 :rule skolemize :premises (@p387)) % 281.64/281.93 (step @p389 :rule bool-double-not-elim :args (@t331)) % 281.64/281.93 (step @p390 :rule refl :args (@t339)) % 281.64/281.93 (step @p391 :rule nary_cong :premises (@p390 @p389) :args ((or @t339 (not @t338)))) % 281.64/281.93 (step @p392 :rule cnf_or_neg :args (@t339 0)) % 281.64/281.93 (step @p393 :rule eq_resolve :premises (@p392 @p391)) % 281.64/281.93 (step @p394 :rule reordering :premises (@p393) :args ((or @t331 @t339))) % 281.64/281.93 (step @p395 :rule chain_m_resolution :premises (@p394 @p388) :args (@t331 @t340 @t341)) % 281.64/281.93 (step @p396 :rule instantiate :premises (@p395) :args (@t306)) % 281.64/281.93 (step @p397 :rule beta-reduce :args ((= @t343 @t342))) % 281.64/281.93 (step @p398 :rule beta-reduce :args ((= @t344 @t61))) % 281.64/281.93 (step @p399 :rule beta-reduce :args ((= @t345 @t103))) % 281.64/281.93 (step @p400 :rule cong :premises (@p399) :args (@t346)) % 281.64/281.93 (step @p401 :rule nary_cong :premises (@p400 @p398) :args (@t347)) % 281.64/281.93 (step @p402 :rule cong :premises (@p401) :args (@t348)) % 281.64/281.93 (step @p403 :rule cong :premises (@p402 @p397) :args ((= @t348 @t343))) % 281.64/281.93 (step @p404 :rule eq-symm :args (@t343 @t348)) % 281.64/281.93 (step @p405 :rule trans :premises (@p404 @p403)) % 281.64/281.93 (step @p406 :rule cong :premises (@p405) :args ((forall @t13 (= @t343 @t348)))) % 281.64/281.93 (step @p407 :rule ho_cong :premises (@p107 @p101 @p131)) % 281.64/281.93 (step @p408 :rule ho_cong :premises (@p107 @p131 @p100)) % 281.64/281.93 (step @p409 :rule cong :premises (@p408) :args (@t349)) % 281.64/281.93 (step @p410 :rule nary_cong :premises (@p409 @p407) :args (@t350)) % 281.64/281.93 (step @p411 :rule cong :premises (@p410) :args (@t351)) % 281.64/281.93 (step @p412 :rule ho_cong :premises (@p107 @p101 @p342)) % 281.64/281.93 (step @p413 :rule cong :premises (@p412 @p411) :args (@t352)) % 281.64/281.93 (step @p414 :rule cong :premises (@p413) :args ((forall @t13 @t352))) % 281.64/281.93 (step @p415 :rule trans :premises (@p414 @p406)) % 281.64/281.93 (step @p416 :rule bool-impl-elim :args (@t20 @t19)) % 281.64/281.93 (step @p417 :rule cong :premises (@p416) :args (@t22)) % 281.64/281.93 (step @p418 :rule refl :args (@t24)) % 281.64/281.93 (step @p419 :rule cong :premises (@p418 @p417) :args (@t25)) % 281.64/281.93 (step @p420 :rule cong :premises (@p419) :args (@t26)) % 281.64/281.93 (step @p421 :rule trans :premises (@p420 @p415)) % 281.64/281.93 (step @p422 :rule eq_resolve :premises (@p11 @p421)) % 281.64/281.93 (step @p423 :rule eq-symm :args (@t296 @t353)) % 281.64/281.93 (step @p424 :rule refl :args (@t354)) % 281.64/281.93 (step @p425 :rule cong :premises (@p424 @p423) :args ((=> @t354 @t355))) % 281.64/281.93 (assume-push @p813 @t354) % 281.64/281.93 (step @p427 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(not @t463)))) % 281.64/281.93 (step @p640 :rule cnf_or_neg :args (@t465 1)) % 281.64/281.93 (step @p641 :rule eq_resolve :premises (@p640 @p639)) % 281.64/281.93 (step @p642 :rule reordering :premises (@p641) :args ((or @t462 @t465))) % 281.64/281.93 (step @p643 :rule bool-double-not-elim :args (@t459)) % 281.64/281.93 (step @p644 :rule nary_cong :premises (@p633 @p643) :args ((or @t465 (not @t460)))) % 281.64/281.93 (step @p645 :rule cnf_or_neg :args (@t465 2)) % 281.64/281.93 (step @p646 :rule eq_resolve :premises (@p645 @p644)) % 281.64/281.93 (step @p647 :rule reordering :premises (@p646) :args ((or @t459 @t465))) % 281.64/281.93 (assume-push @p833 @t458) % 281.64/281.93 (step @p649 :rule instantiate :premises (@p833) :args (@t468)) % 281.64/281.93 (step-pop @p834 :rule scope :premises (@p649)) % 281.64/281.93 (step @p650 :rule process_scope :premises (@p834) :args (@t472)) % 281.64/281.93 (step @p652 :rule implies_elim :premises (@p650)) % 281.64/281.93 (step @p653 :rule cnf_and_pos :args (@t419 2)) % 281.64/281.93 (step @p654 :rule reordering :premises (@p653) :args ((or @t418 @t426))) % 281.64/281.93 (step @p655 :rule chain_m_resolution :premises (@p654 @p560) :args (@t418 @t308 @t427)) % 281.64/281.93 (step @p656 :rule instantiate :premises (@p655) :args ((@list @t456 @t461))) % 281.64/281.93 (step @p657 :rule cnf_or_pos :args (@t474)) % 281.64/281.93 (step @p658 :rule reordering :premises (@p657) :args ((or @t463 @t460 @t473 (not @t474)))) % 281.64/281.93 (step @p659 :rule refl :args (@t477)) % 281.64/281.93 (step @p660 :rule bool-double-not-elim :args (@t466)) % 281.64/281.93 (step @p661 :rule nary_cong :premises (@p660 @p659) :args ((or (not @t473) @t477))) % 281.64/281.93 (assume-push @p835 @t473) % 281.64/281.93 (step @p663 :rule skolemize :premises (@p835)) % 281.64/281.93 (step-pop @p836 :rule scope :premises (@p663)) % 281.64/281.93 (step @p664 :rule process_scope :premises (@p836) :args (@t477)) % 281.64/281.93 (step @p666 :rule implies_elim :premises (@p664)) % 281.64/281.93 (step @p667 :rule eq_resolve :premises (@p666 @p661)) % 281.64/281.93 (step @p668 :rule bool-double-not-elim :args (@t470)) % 281.64/281.93 (step @p669 :rule refl :args (@t476)) % 281.64/281.93 (step @p670 :rule nary_cong :premises (@p669 @p668) :args ((or @t476 (not @t471)))) % 281.64/281.93 (step @p671 :rule cnf_or_neg :args (@t476 0)) % 281.64/281.93 (step @p672 :rule eq_resolve :premises (@p671 @p670)) % 281.64/281.93 (step @p673 :rule reordering :premises (@p672) :args ((or @t470 @t476))) % 281.64/281.93 (step @p674 :rule cnf_or_neg :args (@t476 1)) % 281.64/281.93 (step @p675 :rule cnf_or_pos :args (@t472)) % 281.64/281.93 (step @p676 :rule reordering :premises (@p675) :args ((or @t471 @t469 (not @t472)))) % 281.64/281.93 (assume-push @p837 @t376) % 281.64/281.93 (step @p678 :rule instantiate :premises (@p837) :args (@t468)) % 281.64/281.93 (step-pop @p838 :rule scope :premises (@p678)) % 281.64/281.93 (step @p679 :rule process_scope :premises (@p838) :args (@t479)) % 281.64/281.93 (step @p681 :rule implies_elim :premises (@p679)) % 281.64/281.93 (step @p682 :rule chain_m_resolution :premises (@p681 @p520) :args (@t479 @t308 @t409)) % 281.64/281.93 (step @p683 :rule cnf_or_pos :args (@t479)) % 281.64/281.93 (step @p684 :rule reordering :premises (@p683) :args ((or @t475 @t478 (not @t479)))) % 281.64/281.93 (step @p685 :rule chain_m_resolution :premises (@p684 @p682 @p676 @p674 @p673 @p667 @p658 @p656 @p652 @p647 @p642 @p637) :args (@t465 (@list false false true false true true false false false false false) (@list @t479 @t469 @t475 @t470 @t476 @t466 @t474 @t472 @t459 @t462 @t458))) % 281.64/281.93 (step @p686 :rule refl :args (@t480)) % 281.64/281.93 (step @p687 :rule bool-double-not-elim :args (@t455)) % 281.64/281.93 (step @p688 :rule nary_cong :premises (@p687 @p686) :args ((or (not @t481) @t480))) % 281.64/281.93 (assume-push @p839 @t481) % 281.64/281.93 (step @p690 :rule skolemize :premises (@p839)) % 281.64/281.93 (step-pop @p840 :rule scope :premises (@p690)) % 281.64/281.93 (step @p691 :rule process_scope :premises (@p840) :args (@t480)) % 281.64/281.93 (step @p693 :rule implies_elim :premises (@p691)) % 281.64/281.93 (step @p694 :rule eq_resolve :premises (@p693 @p688)) % 281.64/281.93 (step @p695 :rule chain_m_resolution :premises (@p694 @p685) :args (@t455 @t308 (@list @t465))) % 281.64/281.93 (step @p696 :rule bool-impl-elim :args (@t82 @t85)) % 281.64/281.93 (step @p697 :rule cong :premises (@p696) :args (@t86)) % 281.64/281.93 (step @p698 :rule eq_resolve :premises (@p21 @p697)) % 281.64/281.93 (step @p699 :rule instantiate :premises (@p698) :args ((@list @t289))) % 281.64/281.93 (step @p700 :rule bool-double-not-elim :args (@t336)) % 281.64/281.93 (step @p701 :rule nary_cong :premises (@p390 @p700) :args ((or @t339 (not @t337)))) % 281.64/281.93 (step @p702 :rule cnf_or_neg :args (@t339 1)) % 281.64/281.93 (step @p703 :rule eq_resolve :premises (@p702 @p701)) % 281.64/281.93 (step @p704 :rule reordering :premises (@p703) :args ((or @t336 @t339))) % 281.64/281.93 (step @p705 :rule chain_m_resolution :premises (@p704 @p388) :args (@t336 @t340 @t341)) % 281.64/281.93 (step @p706 :rule cnf_or_pos :args (@t483)) % 281.64/281.93 (step @p707 :rule reordering :premises (@p706) :args ((or @t337 @t482 (not @t483)))) % 281.64/281.93 (step @p708 :rule chain_m_resolution :premises (@p707 @p705 @p699) :args (@t482 @t425 (@list @t336 @t483))) % 281.64/281.93 (step @p709 :rule eq-symm :args (@t484 @t332)) % 281.64/281.93 (step @p710 :rule cong :premises (@p320 @p709) :args ((=> @t304 @t485))) % 281.64/281.93 (assume-push @p841 @t304) % 281.64/281.93 (step @p712 :rule instantiate :premises (@p318) :args ((@list @t290))) % 281.64/281.93 (step-pop @p842 :rule scope :premises (@p712)) % 281.64/281.93 (step @p713 :rule process_scope :premises (@p842) :args (@t485)) % 281.64/281.93 (step @p715 :rule eq_resolve :premises (@p713 @p710)) % 281.64/281.93 (step @p716 :rule implies_elim :premises (@p715)) % 281.64/281.93 (step @p717 :rule chain_m_resolution :premises (@p716 @p318) :args (@t486 @t308 @t309)) % 281.64/281.93 (step @p718 :rule cnf_or_neg :args (@t339 3)) % 281.64/281.93 (step @p719 :rule chain_m_resolution :premises (@p718 @p388) :args ((not @t332) @t340 @t341)) % 281.64/281.93 (step @p720 :rule cnf_equiv_pos2 :args (@t486)) % 281.64/281.93 (step @p721 :rule reordering :premises (@p720) :args ((or @t332 @t487 (not @t486)))) % 281.64/281.93 (step @p722 :rule chain_m_resolution :premises (@p721 @p719 @p717) :args (@t487 @t488 (@list @t332 @t486))) % 281.64/281.93 (step @p723 :rule cnf_and_neg :args (@t484)) % 281.64/281.93 (step @p724 :rule chain_m_resolution :premises (@p723 @p722 @p708 @p695 @p631 @p577) :args (@t489 (@list true false false false false) (@list @t484 @t482 @t455 @t434 @t359))) % 281.64/281.93 (step @p725 :rule refl :args (@t496)) % 281.64/281.93 (step @p726 :rule bool-double-not-elim :args (@t293)) % 281.64/281.93 (step @p727 :rule nary_cong :premises (@p726 @p725) :args ((or (not @t489) @t496))) % 281.64/281.93 (assume-push @p843 @t489) % 281.64/281.93 (step @p729 :rule skolemize :premises (@p843)) % 281.64/281.93 (step-pop @p844 :rule scope :premises (@p729)) % 281.64/281.93 (step @p730 :rule process_scope :premises (@p844) :args (@t496)) % 281.64/281.93 (step @p732 :rule implies_elim :premises (@p730)) % 281.64/281.93 (step @p733 :rule eq_resolve :premises (@p732 @p727)) % 281.64/281.93 (step @p734 :rule chain_m_resolution :premises (@p733 @p724) :args (@t496 @t340 (@list @t293))) % 281.64/281.93 (step @p735 :rule cnf_or_neg :args (@t495 2)) % 281.64/281.93 (step @p736 :rule chain_m_resolution :premises (@p735 @p734) :args ((not @t353) @t340 @t497)) % 281.64/281.93 (step @p737 :rule cnf_equiv_pos2 :args (@t356)) % 281.64/281.93 (step @p738 :rule reordering :premises (@p737) :args ((or @t353 @t498 (not @t356)))) % 281.64/281.93 (step @p739 :rule chain_m_resolution :premises (@p738 @p736 @p432) :args (@t498 @t488 (@list @t353 @t356))) % 281.64/281.93 (step @p740 :rule refl :args (@t503)) % 281.64/281.93 (step @p741 :rule bool-double-not-elim :args (@t296)) % 281.64/281.93 (step @p742 :rule nary_cong :premises (@p741 @p740) :args ((or (not @t498) @t503))) % 281.64/281.93 (assume-push @p845 @t498) % 281.64/281.93 (step @p744 :rule skolemize :premises (@p845)) % 281.64/281.93 (step-pop @p846 :rule scope :premises (@p744)) % 281.64/281.93 (step @p745 :rule process_scope :premises (@p846) :args (@t503)) % 281.64/281.93 (step @p747 :rule implies_elim :premises (@p745)) % 281.64/281.93 (step @p748 :rule eq_resolve :premises (@p747 @p742)) % 281.64/281.93 (step @p749 :rule chain_m_resolution :premises (@p748 @p739) :args (@t503 @t340 (@list @t296))) % 281.64/281.93 (step @p750 :rule bool-double-not-elim :args (@t500)) % 281.64/281.93 (step @p751 :rule refl :args (@t502)) % 281.64/281.93 (step @p752 :rule nary_cong :premises (@p751 @p750) :args ((or @t502 (not @t501)))) % 281.64/281.93 (step @p753 :rule cnf_or_neg :args (@t502 0)) % 281.64/281.93 (step @p754 :rule eq_resolve :premises (@p753 @p752)) % 281.64/281.93 (step @p755 :rule reordering :premises (@p754) :args ((or @t500 @t502))) % 281.64/281.93 (step @p756 :rule chain_m_resolution :premises (@p755 @p749) :args (@t500 @t340 @t504)) % 281.64/281.93 (step @p757 :rule cnf_or_pos :args (@t505)) % 281.64/281.93 (step @p758 :rule reordering :premises (@p757) :args ((or @t501 @t303 (not @t505)))) % 281.64/281.93 (step @p759 :rule chain_m_resolution :premises (@p758 @p756 @p396) :args (@t303 @t425 (@list @t500 @t505))) % 281.64/281.93 (step @p760 :rule cnf_equiv_pos1 :args (@t307)) % 281.64/281.93 (step @p761 :rule reordering :premises (@p760) :args ((or (not @t303) @t302 (not @t307)))) % 281.64/281.93 (step @p762 :rule chain_m_resolution :premises (@p761 @p759 @p328) :args (@t302 @t425 (@list @t303 @t307))) % 281.64/281.93 (step @p763 :rule cnf_and_pos :args (@t302 1)) % 281.64/281.93 (step @p764 :rule reordering :premises (@p763) :args ((or @t301 (not @t302)))) % 281.64/281.93 (step @p765 :rule chain_m_resolution :premises (@p764 @p762) :args (@t301 @t308 (@list @t302))) % 281.64/281.93 (step @p766 :rule eq-symm :args (@t506 @t493)) % 281.64/281.93 (step @p767 :rule cong :premises (@p424 @p766) :args ((=> @t354 @t507))) % 281.64/281.93 (assume-push @p847 @t354) % 281.64/281.93 (step @p769 :rule instantiate :premises (@p422) :args ((@list @t490 @t289))) % 281.64/281.93 (step-pop @p848 :rule scope :premises (@p769)) % 281.64/281.93 (step @p770 :rule process_scope :premises (@p848) :args (@t507)) % 281.64/281.93 (step @p772 :rule eq_resolve :premises (@p770 @p767)) % 281.64/281.93 (step @p773 :rule implies_elim :premises (@p772)) % 281.64/281.93 (step @p774 :rule chain_m_resolution :premises (@p773 @p422) :args (@t508 @t308 @t357)) % 281.64/281.93 (step @p775 :rule bool-double-not-elim :args (@t493)) % 281.64/281.93 (step @p776 :rule refl :args (@t495)) % 281.64/281.93 (step @p777 :rule nary_cong :premises (@p776 @p775) :args ((or @t495 (not @t494)))) % 281.64/281.93 (step @p778 :rule cnf_or_neg :args (@t495 0)) % 281.64/281.93 (step @p779 :rule eq_resolve :premises (@p778 @p777)) % 281.64/281.93 (step @p780 :rule reordering :premises (@p779) :args ((or @t493 @t495))) % 281.64/281.93 (step @p781 :rule chain_m_resolution :premises (@p780 @p734) :args (@t493 @t340 @t497)) % 281.64/281.93 (step @p782 :rule cnf_equiv_pos1 :args (@t508)) % 281.64/281.93 (step @p783 :rule reordering :premises (@p782) :args ((or @t494 @t506 (not @t508)))) % 281.64/281.93 (step @p784 :rule chain_m_resolution :premises (@p783 @p781 @p774) :args (@t506 @t425 (@list @t493 @t508))) % 281.64/281.93 (assume-push @p849 @t506) % 281.64/281.93 (step @p786 :rule instantiate :premises (@p849) :args (@t306)) % 281.64/281.93 (step-pop @p850 :rule scope :premises (@p786)) % 281.64/281.93 (step @p787 :rule process_scope :premises (@p850) :args (@t510)) % 281.64/281.93 (step @p789 :rule implies_elim :premises (@p787)) % 281.64/281.93 (step @p790 :rule chain_m_resolution :premises (@p789 @p784) :args (@t510 @t308 (@list @t506))) % 281.64/281.93 (step @p791 :rule cnf_or_pos :args (@t510)) % 281.64/281.93 (step @p792 :rule reordering :premises (@p791) :args ((or @t501 @t509 (not @t510)))) % 281.64/281.93 (step @p793 :rule chain_m_resolution :premises (@p792 @p756 @p790) :args (@t509 @t425 (@list @t500 @t510))) % 281.64/281.93 (step @p794 :rule cnf_or_neg :args (@t502 1)) % 281.64/281.93 (step @p795 :rule chain_m_resolution :premises (@p794 @p749) :args ((not @t499) @t340 @t504)) % 281.64/281.93 (step @p796 :rule bool-double-not-elim :args (@t491)) % 281.64/281.93 (step @p797 :rule nary_cong :premises (@p776 @p796) :args ((or @t495 (not @t492)))) % 281.64/281.93 (step @p798 :rule cnf_or_neg :args (@t495 1)) % 281.64/281.93 (step @p799 :rule eq_resolve :premises (@p798 @p797)) % 281.64/281.93 (step @p800 :rule reordering :premises (@p799) :args ((or @t491 @t495))) % 281.64/281.93 (step @p801 :rule chain_m_resolution :premises (@p800 @p734) :args (@t491 @t340 @t497)) % 281.64/281.93 (step @p802 :rule cnf_or_pos :args (@t512)) % 281.64/281.93 (step @p803 :rule reordering :premises (@p802) :args ((or @t492 @t499 @t511 @t513))) % 281.64/281.93 (step @p804 :rule chain_m_resolution :premises (@p803 @p801 @p795 @p793) :args (@t513 (@list false true false) (@list @t491 @t499 @t509))) % 281.64/281.93 (assume-push @p851 @t301) % 281.64/281.93 (step @p806 :rule instantiate :premises (@p851) :args ((@list @t490 @t294))) % 281.64/281.93 (step-pop @p852 :rule scope :premises (@p806)) % 281.64/281.93 (step @p807 :rule process_scope :premises (@p852) :args (@t512)) % 281.64/281.93 (step @p809 :rule implies_elim :premises (@p807)) % 281.64/281.93 (step @p810 false :rule chain_m_resolution :premises (@p809 @p804 @p765) :args (false @t488 (@list @t512 @t301))) % 281.64/281.93 ) % 281.64/281.93 % SZS output end Proof % 281.64/281.93 % cvc5 exiting %------------------------------------------------------------------------------