%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET759+4 : TPTP v9.2.1. Bugfixed v2.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:48:35 AM UTC 2026 % Result : Theorem 0.15s 0.41s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SET759+4 : TPTP v9.2.1. Bugfixed v2.2.1. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 16:10:48 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.41 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.41 % SZS status Theorem % 0.15/0.41 % SZS output start Proof % 0.15/0.41 ( % 0.15/0.41 (declare-sort $$unsorted 0) % 0.15/0.41 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.41 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.41 (declare-const tptp.inverse_function (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.41 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.41 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.15/0.41 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.15/0.41 (declare-const tptp.empty_set $$unsorted) % 0.15/0.41 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.41 (declare-const tptp.equal_maps (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.41 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.15/0.41 (declare-const tptp.one_to_one (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.41 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.15/0.41 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.15/0.41 (declare-const tptp.image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.41 (declare-const tptp.increasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.41 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.15/0.41 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.15/0.41 (declare-const tptp.surjective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.41 (declare-const tptp.isomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.41 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.41 (declare-const tptp.compose_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.41 (declare-const tptp.identity (-> $$unsorted $$unsorted Bool)) % 0.15/0.41 (declare-const tptp.injective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.41 (declare-const tptp.compose_function (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.41 (declare-const tptp.inverse_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.41 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.41 (declare-const tptp.image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.41 (declare-const tptp.inverse_image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.41 (declare-const tptp.decreasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.41 (declare-const tptp.inverse_image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.41 (define @t1 () (@var "B" $$unsorted)) % 0.15/0.41 (define @t2 () (@var "X" $$unsorted)) % 0.15/0.41 (define @t3 () (tptp.member @t2 @t1)) % 0.15/0.41 (define @t4 () (@var "A" $$unsorted)) % 0.15/0.41 (define @t5 () (tptp.member @t2 @t4)) % 0.15/0.41 (define @t6 () (@list @t2)) % 0.15/0.41 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.15/0.41 (define @t8 () (tptp.subset @t4 @t1)) % 0.15/0.41 (define @t9 () (= @t8 @t7)) % 0.15/0.41 (define @t10 () (@list @t4 @t1)) % 0.15/0.41 (define @t11 () (forall @t10 @t9)) % 0.15/0.41 (define @t12 () (tptp.subset @t2 @t4)) % 0.15/0.41 (define @t13 () (@list @t2 @t4)) % 0.15/0.41 (define @t14 () (@list @t2 @t4 @t1)) % 0.15/0.41 (define @t15 () (@var "E" $$unsorted)) % 0.15/0.41 (define @t16 () (= @t2 @t4)) % 0.15/0.41 (define @t17 () (@var "Y" $$unsorted)) % 0.15/0.41 (define @t18 () (tptp.member @t2 @t17)) % 0.15/0.41 (define @t19 () (tptp.member @t17 @t4)) % 0.15/0.41 (define @t20 () (@list @t17)) % 0.15/0.41 (define @t21 () (@var "Y2" $$unsorted)) % 0.15/0.41 (define @t22 () (@var "Y1" $$unsorted)) % 0.15/0.41 (define @t23 () (= @t22 @t21)) % 0.15/0.41 (define @t24 () (@var "F" $$unsorted)) % 0.15/0.41 (define @t25 () (tptp.apply @t24 @t2 @t21)) % 0.15/0.41 (define @t26 () (tptp.apply @t24 @t2 @t22)) % 0.15/0.41 (define @t27 () (and @t26 @t25)) % 0.15/0.41 (define @t28 () (=> @t27 @t23)) % 0.15/0.41 (define @t29 () (tptp.member @t21 @t1)) % 0.15/0.41 (define @t30 () (tptp.member @t22 @t1)) % 0.15/0.41 (define @t31 () (and @t5 @t30 @t29)) % 0.15/0.41 (define @t32 () (@list @t2 @t22 @t21)) % 0.15/0.41 (define @t33 () (forall @t32 (=> @t31 @t28))) % 0.15/0.41 (define @t34 () (tptp.apply @t24 @t2 @t17)) % 0.15/0.41 (define @t35 () (tptp.member @t17 @t1)) % 0.15/0.41 (define @t36 () (and @t35 @t34)) % 0.15/0.41 (define @t37 () (exists @t20 @t36)) % 0.15/0.41 (define @t38 () (=> @t5 @t37)) % 0.15/0.41 (define @t39 () (forall @t6 @t38)) % 0.15/0.41 (define @t40 () (and @t39 @t33)) % 0.15/0.41 (define @t41 () (tptp.maps @t24 @t4 @t1)) % 0.15/0.41 (define @t42 () (= @t41 @t40)) % 0.15/0.41 (define @t43 () (@list @t24 @t4 @t1)) % 0.15/0.41 (define @t44 () (forall @t43 @t42)) % 0.15/0.41 (define @t45 () (@var "Z" $$unsorted)) % 0.15/0.41 (define @t46 () (@var "G" $$unsorted)) % 0.15/0.41 (define @t47 () (exists @t20 (and @t35 @t34 (tptp.apply @t46 @t17 @t45)))) % 0.15/0.41 (define @t48 () (@var "H" $$unsorted)) % 0.15/0.41 (define @t49 () (@var "C" $$unsorted)) % 0.15/0.41 (define @t50 () (and @t5 (tptp.member @t45 @t49))) % 0.15/0.41 (define @t51 () (@var "X2" $$unsorted)) % 0.15/0.41 (define @t52 () (@var "X1" $$unsorted)) % 0.15/0.41 (define @t53 () (= @t52 @t51)) % 0.15/0.41 (define @t54 () (tptp.apply @t24 @t51 @t17)) % 0.15/0.41 (define @t55 () (tptp.apply @t24 @t52 @t17)) % 0.15/0.41 (define @t56 () (and @t55 @t54)) % 0.15/0.41 (define @t57 () (=> @t56 @t53)) % 0.15/0.41 (define @t58 () (tptp.member @t51 @t4)) % 0.15/0.41 (define @t59 () (tptp.member @t52 @t4)) % 0.15/0.41 (define @t60 () (and @t59 @t58 @t35)) % 0.15/0.41 (define @t61 () (@list @t52 @t51 @t17)) % 0.15/0.41 (define @t62 () (forall @t61 (=> @t60 @t57))) % 0.15/0.41 (define @t63 () (tptp.injective @t24 @t4 @t1)) % 0.15/0.41 (define @t64 () (= @t63 @t62)) % 0.15/0.41 (define @t65 () (forall @t43 @t64)) % 0.15/0.41 (define @t66 () (tptp.surjective @t24 @t4 @t1)) % 0.15/0.41 (define @t67 () (tptp.one_to_one @t24 @t4 @t1)) % 0.15/0.41 (define @t68 () (and @t5 @t35)) % 0.15/0.41 (define @t69 () (and @t5 @t34)) % 0.15/0.41 (define @t70 () (exists @t6 @t69)) % 0.15/0.41 (define @t71 () (and @t35 @t70)) % 0.15/0.41 (define @t72 () (tptp.member @t17 (tptp.image3 @t24 @t4 @t1))) % 0.15/0.41 (define @t73 () (= @t72 @t71)) % 0.15/0.41 (define @t74 () (forall (@list @t24 @t4 @t1 @t17) @t73)) % 0.15/0.41 (define @t75 () (and @t5 @t37)) % 0.15/0.41 (define @t76 () (tptp.member @t2 (tptp.inverse_image3 @t24 @t1 @t4))) % 0.15/0.41 (define @t77 () (= @t76 @t75)) % 0.15/0.41 (define @t78 () (forall (@list @t24 @t1 @t4 @t2) @t77)) % 0.15/0.41 (define @t79 () (@var "S" $$unsorted)) % 0.15/0.41 (define @t80 () (tptp.apply @t79 @t22 @t21)) % 0.15/0.41 (define @t81 () (tptp.apply @t24 @t51 @t21)) % 0.15/0.41 (define @t82 () (tptp.apply @t24 @t52 @t22)) % 0.15/0.41 (define @t83 () (@var "R" $$unsorted)) % 0.15/0.41 (define @t84 () (tptp.apply @t83 @t52 @t51)) % 0.15/0.41 (define @t85 () (and @t59 @t30 @t58 @t29 @t84 @t82 @t81)) % 0.15/0.41 (define @t86 () (@list @t52 @t22 @t51 @t21)) % 0.15/0.41 (define @t87 () (@list @t24 @t4 @t83 @t1 @t79)) % 0.15/0.41 (define @t88 () (tptp.equal_set (tptp.inverse_image3 @t24 (tptp.image3 @t24 @t2 @t1) @t4) @t2)) % 0.15/0.41 (define @t89 () (and @t41 @t63 @t12)) % 0.15/0.41 (define @t90 () (@list @t24 @t4 @t1 @t2)) % 0.15/0.41 (define @t91 () (forall @t90 (=> @t89 @t88))) % 0.15/0.41 (define @t92 () (not @t91)) % 0.15/0.41 (define @t93 () (not @t12)) % 0.15/0.41 (define @t94 () (not @t63)) % 0.15/0.41 (define @t95 () (not @t41)) % 0.15/0.41 (define @t96 () (or @t95 @t94 @t93 @t88)) % 0.15/0.41 (define @t97 () (forall @t90 @t96)) % 0.15/0.41 (define @t98 () (@quantifiers_skolemize @t97 1)) % 0.15/0.41 (define @t99 () (@quantifiers_skolemize @t97 2)) % 0.15/0.41 (define @t100 () (@quantifiers_skolemize @t97 3)) % 0.15/0.41 (define @t101 () (@quantifiers_skolemize @t97 0)) % 0.15/0.41 (define @t102 () (tptp.image3 @t101 @t100 @t99)) % 0.15/0.41 (define @t103 () (tptp.inverse_image3 @t101 @t102 @t98)) % 0.15/0.41 (define @t104 () (@list @t103 @t100)) % 0.15/0.41 (define @t105 () (tptp.member @t2 @t100)) % 0.15/0.41 (define @t106 () (tptp.member @t2 @t103)) % 0.15/0.41 (define @t107 () (forall @t6 (or (not @t106) @t105))) % 0.15/0.41 (define @t108 () (@quantifiers_skolemize @t107 0)) % 0.15/0.41 (define @t109 () (tptp.member @t108 @t103)) % 0.15/0.41 (define @t110 () (tptp.member @t108 @t100)) % 0.15/0.41 (define @t111 () (not @t109)) % 0.15/0.41 (define @t112 () (or @t111 @t110)) % 0.15/0.41 (define @t113 () (forall @t20 (not @t36))) % 0.15/0.41 (define @t114 () (not @t113)) % 0.15/0.41 (define @t115 () (not (tptp.member @t17 @t102))) % 0.15/0.41 (define @t116 () (forall @t20 (or @t115 (not (tptp.apply @t101 @t108 @t17))))) % 0.15/0.41 (define @t117 () (not @t116)) % 0.15/0.41 (define @t118 () (tptp.member @t108 @t98)) % 0.15/0.41 (define @t119 () (and @t118 @t117)) % 0.15/0.41 (define @t120 () (= @t109 @t119)) % 0.15/0.41 (define @t121 () (not @t119)) % 0.15/0.41 (define @t122 () (@quantifiers_skolemize @t116 0)) % 0.15/0.41 (define @t123 () (tptp.apply @t101 @t108 @t122)) % 0.15/0.41 (define @t124 () (not @t123)) % 0.15/0.41 (define @t125 () (tptp.member @t122 @t102)) % 0.15/0.41 (define @t126 () (not @t125)) % 0.15/0.41 (define @t127 () (or @t126 @t124)) % 0.15/0.41 (define @t128 () (not @t127)) % 0.15/0.41 (define @t129 () (forall @t6 (not @t69))) % 0.15/0.41 (define @t130 () (not @t129)) % 0.15/0.41 (define @t131 () (not @t105)) % 0.15/0.41 (define @t132 () (forall @t6 (or @t131 (not (tptp.apply @t101 @t2 @t122))))) % 0.15/0.41 (define @t133 () (not @t132)) % 0.15/0.41 (define @t134 () (tptp.member @t122 @t99)) % 0.15/0.41 (define @t135 () (and @t134 @t133)) % 0.15/0.41 (define @t136 () (= @t125 @t135)) % 0.15/0.41 (define @t137 () (not @t135)) % 0.15/0.41 (define @t138 () (@quantifiers_skolemize @t132 0)) % 0.15/0.41 (define @t139 () (tptp.apply @t101 @t138 @t122)) % 0.15/0.41 (define @t140 () (not @t139)) % 0.15/0.41 (define @t141 () (tptp.member @t138 @t100)) % 0.15/0.41 (define @t142 () (not @t141)) % 0.15/0.41 (define @t143 () (or @t142 @t140)) % 0.15/0.41 (define @t144 () (not @t143)) % 0.15/0.41 (define @t145 () (or @t95 @t94 @t93)) % 0.15/0.41 (define @t146 () (tptp.subset @t100 @t98)) % 0.15/0.41 (define @t147 () (tptp.equal_set @t103 @t100)) % 0.15/0.41 (define @t148 () (not @t146)) % 0.15/0.41 (define @t149 () (tptp.injective @t101 @t98 @t99)) % 0.15/0.41 (define @t150 () (not @t149)) % 0.15/0.41 (define @t151 () (tptp.maps @t101 @t98 @t99)) % 0.15/0.41 (define @t152 () (not @t151)) % 0.15/0.41 (define @t153 () (or @t152 @t150 @t148 @t147)) % 0.15/0.41 (define @t154 () (@list true)) % 0.15/0.41 (define @t155 () (@list @t153)) % 0.15/0.41 (define @t156 () (tptp.member @t2 @t98)) % 0.15/0.41 (define @t157 () (forall @t6 (or @t131 @t156))) % 0.15/0.41 (define @t158 () (= @t146 @t157)) % 0.15/0.41 (define @t159 () (@list false false)) % 0.15/0.41 (define @t160 () (tptp.member @t138 @t98)) % 0.15/0.41 (define @t161 () (or @t142 @t160)) % 0.15/0.41 (define @t162 () (not @t54)) % 0.15/0.41 (define @t163 () (not @t55)) % 0.15/0.41 (define @t164 () (not @t35)) % 0.15/0.41 (define @t165 () (not @t58)) % 0.15/0.41 (define @t166 () (not @t59)) % 0.15/0.41 (define @t167 () (or @t163 @t162 @t53)) % 0.15/0.41 (define @t168 () (or @t166 @t165 @t164)) % 0.15/0.41 (define @t169 () (@list @t101 @t98 @t99)) % 0.15/0.41 (define @t170 () (not (tptp.member @t17 @t99))) % 0.15/0.41 (define @t171 () (forall @t61 (or (not (tptp.member @t52 @t98)) (not (tptp.member @t51 @t98)) @t170 (not (tptp.apply @t101 @t52 @t17)) (not (tptp.apply @t101 @t51 @t17)) @t53))) % 0.15/0.41 (define @t172 () (= @t149 @t171)) % 0.15/0.41 (define @t173 () (not @t134)) % 0.15/0.41 (define @t174 () (not @t118)) % 0.15/0.41 (define @t175 () (not @t160)) % 0.15/0.41 (define @t176 () (or @t175 @t174 @t173 @t140 @t124 (= @t138 @t108))) % 0.15/0.41 (define @t177 () (= @t108 @t138)) % 0.15/0.41 (define @t178 () (or @t175 @t174 @t173 @t140 @t124 @t177)) % 0.15/0.41 (define @t179 () (@list false)) % 0.15/0.41 (define @t180 () (not @t177)) % 0.15/0.41 (define @t181 () (not @t110)) % 0.15/0.41 (define @t182 () (and @t141 @t177 @t181)) % 0.15/0.41 (define @t183 () (not @t112)) % 0.15/0.41 (define @t184 () (not @t107)) % 0.15/0.41 (define @t185 () (tptp.subset @t103 @t100)) % 0.15/0.41 (define @t186 () (= @t185 @t107)) % 0.15/0.41 (define @t187 () (tptp.subset @t100 @t103)) % 0.15/0.41 (define @t188 () (and @t185 @t187)) % 0.15/0.41 (define @t189 () (= @t147 @t188)) % 0.15/0.41 (define @t190 () (not @t188)) % 0.15/0.41 (define @t191 () (@list true false)) % 0.15/0.41 (define @t192 () (forall @t6 (or @t131 @t106))) % 0.15/0.41 (define @t193 () (= @t187 @t192)) % 0.15/0.41 (define @t194 () (not @t192)) % 0.15/0.41 (define @t195 () (@quantifiers_skolemize @t192 0)) % 0.15/0.41 (define @t196 () (tptp.member @t195 @t103)) % 0.15/0.41 (define @t197 () (tptp.member @t195 @t100)) % 0.15/0.41 (define @t198 () (not @t197)) % 0.15/0.41 (define @t199 () (or @t198 @t196)) % 0.15/0.41 (define @t200 () (not @t199)) % 0.15/0.41 (define @t201 () (@list @t195)) % 0.15/0.41 (define @t202 () (tptp.member @t195 @t98)) % 0.15/0.41 (define @t203 () (or @t198 @t202)) % 0.15/0.41 (define @t204 () (not (tptp.apply @t101 @t195 @t17))) % 0.15/0.41 (define @t205 () (forall @t20 (or @t115 @t204))) % 0.15/0.41 (define @t206 () (not @t205)) % 0.15/0.41 (define @t207 () (and @t202 @t206)) % 0.15/0.41 (define @t208 () (= @t196 @t207)) % 0.15/0.41 (define @t209 () (not @t202)) % 0.15/0.41 (define @t210 () (not @t25)) % 0.15/0.41 (define @t211 () (not @t26)) % 0.15/0.41 (define @t212 () (not @t29)) % 0.15/0.41 (define @t213 () (not @t30)) % 0.15/0.41 (define @t214 () (not @t5)) % 0.15/0.41 (define @t215 () (or @t211 @t210 @t23)) % 0.15/0.41 (define @t216 () (or @t214 @t213 @t212)) % 0.15/0.41 (define @t217 () (not (forall @t20 (or @t164 (not @t34))))) % 0.15/0.41 (define @t218 () (not @t156)) % 0.15/0.41 (define @t219 () (forall @t6 (or @t218 (not (forall @t20 (or @t170 (not (tptp.apply @t101 @t2 @t17)))))))) % 0.15/0.41 (define @t220 () (and @t219 (forall @t32 (or @t218 (not (tptp.member @t22 @t99)) (not (tptp.member @t21 @t99)) (not (tptp.apply @t101 @t2 @t22)) (not (tptp.apply @t101 @t2 @t21)) @t23)))) % 0.15/0.41 (define @t221 () (= @t151 @t220)) % 0.15/0.41 (define @t222 () (forall @t20 (or @t170 @t204))) % 0.15/0.41 (define @t223 () (not @t222)) % 0.15/0.41 (define @t224 () (or @t209 @t223)) % 0.15/0.41 (define @t225 () (@quantifiers_skolemize @t222 0)) % 0.15/0.41 (define @t226 () (tptp.apply @t101 @t195 @t225)) % 0.15/0.41 (define @t227 () (not @t226)) % 0.15/0.41 (define @t228 () (tptp.member @t225 @t102)) % 0.15/0.41 (define @t229 () (not @t228)) % 0.15/0.41 (define @t230 () (or @t229 @t227)) % 0.15/0.41 (define @t231 () (tptp.member @t225 @t99)) % 0.15/0.41 (define @t232 () (not @t231)) % 0.15/0.41 (define @t233 () (or @t232 @t227)) % 0.15/0.41 (define @t234 () (not @t233)) % 0.15/0.41 (define @t235 () (forall @t6 (or @t131 (not (tptp.apply @t101 @t2 @t225))))) % 0.15/0.41 (define @t236 () (not @t235)) % 0.15/0.41 (define @t237 () (and @t231 @t236)) % 0.15/0.41 (define @t238 () (= @t228 @t237)) % 0.15/0.41 (define @t239 () (@list @t199)) % 0.15/0.41 (define @t240 () (or @t198 @t227)) % 0.15/0.41 (define @t241 () (not @t240)) % 0.15/0.41 (assume @p1 @t11) % 0.15/0.41 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.15/0.41 (assume @p3 (forall @t13 (= (tptp.member @t2 (tptp.power_set @t4)) @t12))) % 0.15/0.41 (assume @p4 (forall @t14 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.15/0.41 (assume @p5 (forall @t14 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.15/0.41 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.15/0.41 (assume @p7 (forall (@list @t1 @t4 @t15) (= (tptp.member @t1 (tptp.difference @t15 @t4)) (and (tptp.member @t1 @t15) (not (tptp.member @t1 @t4)))))) % 0.15/0.41 (assume @p8 (forall @t13 (= (tptp.member @t2 (tptp.singleton @t4)) @t16))) % 0.15/0.41 (assume @p9 (forall @t14 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t16 (= @t2 @t1))))) % 0.15/0.41 (assume @p10 (forall @t13 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t20 (and @t19 @t18))))) % 0.15/0.41 (assume @p11 (forall @t13 (= (tptp.member @t2 (tptp.product @t4)) (forall @t20 (=> @t19 @t18))))) % 0.15/0.41 (assume @p12 @t44) % 0.15/0.41 (assume @p13 (forall (@list @t48 @t46 @t24 @t4 @t1 @t49) (= (tptp.compose_predicate @t48 @t46 @t24 @t4 @t1 @t49) (forall (@list @t2 @t45) (=> @t50 (= (tptp.apply @t48 @t2 @t45) @t47)))))) % 0.15/0.41 (assume @p14 (forall (@list @t46 @t24 @t4 @t1 @t49 @t2 @t45) (=> @t50 (= (tptp.apply (tptp.compose_function @t46 @t24 @t4 @t1 @t49) @t2 @t45) @t47)))) % 0.15/0.41 (assume @p15 (forall (@list @t24 @t46 @t4 @t1) (= (tptp.equal_maps @t24 @t46 @t4 @t1) (forall @t32 (=> @t31 (=> (and @t26 (tptp.apply @t46 @t2 @t21)) @t23)))))) % 0.15/0.41 (assume @p16 (forall (@list @t24 @t4) (= (tptp.identity @t24 @t4) (forall @t6 (=> @t5 (tptp.apply @t24 @t2 @t2)))))) % 0.15/0.41 (assume @p17 @t65) % 0.15/0.41 (assume @p18 (forall @t43 (= @t66 (forall @t20 (=> @t35 (exists (@list @t15) (and (tptp.member @t15 @t4) (tptp.apply @t24 @t15 @t17)))))))) % 0.15/0.41 (assume @p19 (forall @t43 (= @t67 (and @t63 @t66)))) % 0.15/0.41 (assume @p20 (forall (@list @t46 @t24 @t4 @t1) (= (tptp.inverse_predicate @t46 @t24 @t4 @t1) (forall (@list @t2 @t17) (=> @t68 (= @t34 (tptp.apply @t46 @t17 @t2))))))) % 0.15/0.41 (assume @p21 (forall (@list @t24 @t4 @t1 @t2 @t17) (=> @t68 (= @t34 (tptp.apply (tptp.inverse_function @t24 @t4 @t1) @t17 @t2))))) % 0.15/0.41 (assume @p22 (forall (@list @t24 @t4 @t17) (= (tptp.member @t17 (tptp.image2 @t24 @t4)) @t70))) % 0.15/0.41 (assume @p23 @t74) % 0.15/0.41 (assume @p24 (forall (@list @t24 @t1 @t2) (= (tptp.member @t2 (tptp.inverse_image2 @t24 @t1)) @t37))) % 0.15/0.41 (assume @p25 @t78) % 0.15/0.41 (assume @p26 (forall @t87 (= (tptp.increasing @t24 @t4 @t83 @t1 @t79) (forall @t86 (=> @t85 @t80))))) % 0.15/0.41 (assume @p27 (forall @t87 (= (tptp.decreasing @t24 @t4 @t83 @t1 @t79) (forall @t86 (=> @t85 (tptp.apply @t79 @t21 @t22)))))) % 0.15/0.41 (assume @p28 (forall @t87 (= (tptp.isomorphism @t24 @t4 @t83 @t1 @t79) (and @t41 @t67 (forall @t86 (=> (and @t59 @t30 @t58 @t29 @t82 @t81) (= @t84 @t80))))))) % 0.15/0.41 (assume @p29 @t92) % 0.15/0.41 (assume @p30 true) % 0.15/0.41 (step @p31 :rule bool-impl-elim :args (@t5 @t3)) % 0.15/0.41 (step @p32 :rule cong :premises (@p31) :args (@t7)) % 0.15/0.41 (step @p33 :rule refl :args (@t8)) % 0.15/0.41 (step @p34 :rule cong :premises (@p33 @p32) :args (@t9)) % 0.15/0.41 (step @p35 :rule cong :premises (@p34) :args (@t11)) % 0.15/0.41 (step @p36 :rule eq_resolve :premises (@p1 @p35)) % 0.15/0.41 (step @p37 :rule instantiate :premises (@p36) :args ((@list @t100 @t103))) % 0.15/0.41 (step @p38 :rule instantiate :premises (@p36) :args (@t104)) % 0.15/0.41 (step @p39 :rule bool-double-not-elim :args (@t109)) % 0.15/0.41 (step @p40 :rule refl :args (@t112)) % 0.15/0.41 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or @t112 (not @t111)))) % 0.15/0.41 (step @p42 :rule cnf_or_neg :args (@t112 0)) % 0.15/0.41 (step @p43 :rule eq_resolve :premises (@p42 @p41)) % 0.15/0.41 (step @p44 :rule reordering :premises (@p43) :args ((or @t109 @t112))) % 0.15/0.41 (step @p45 :rule cnf_or_neg :args (@t112 1)) % 0.15/0.41 (step @p46 :rule bool-and-de-morgan :args (@t35 @t34 true)) % 0.15/0.41 (step @p47 :rule cong :premises (@p46) :args (@t113)) % 0.15/0.41 (step @p48 :rule cong :premises (@p47) :args (@t114)) % 0.15/0.41 (step @p49 :rule exists-elim :args ((= @t37 @t114))) % 0.15/0.41 (step @p50 :rule trans :premises (@p49 @p48)) % 0.15/0.41 (step @p51 :rule refl :args (@t5)) % 0.15/0.41 (step @p52 :rule nary_cong :premises (@p51 @p50) :args (@t75)) % 0.15/0.41 (step @p53 :rule refl :args (@t76)) % 0.15/0.41 (step @p54 :rule cong :premises (@p53 @p52) :args (@t77)) % 0.15/0.41 (step @p55 :rule cong :premises (@p54) :args (@t78)) % 0.15/0.41 (step @p56 :rule eq_resolve :premises (@p25 @p55)) % 0.15/0.41 (step @p57 :rule instantiate :premises (@p56) :args ((@list @t101 @t102 @t98 @t108))) % 0.15/0.41 (step @p58 :rule cnf_equiv_pos1 :args (@t120)) % 0.15/0.41 (step @p59 :rule reordering :premises (@p58) :args ((or @t111 @t119 (not @t120)))) % 0.15/0.41 (step @p60 :rule cnf_and_pos :args (@t119 0)) % 0.15/0.41 (step @p61 :rule reordering :premises (@p60) :args ((or @t118 @t121))) % 0.15/0.41 (step @p62 :rule cnf_and_pos :args (@t119 1)) % 0.15/0.41 (step @p63 :rule reordering :premises (@p62) :args ((or @t117 @t121))) % 0.15/0.41 (step @p64 :rule refl :args (@t128)) % 0.15/0.41 (step @p65 :rule bool-double-not-elim :args (@t116)) % 0.15/0.41 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or (not @t117) @t128))) % 0.15/0.41 (assume-push @p390 @t117) % 0.15/0.41 (step @p68 :rule skolemize :premises (@p390)) % 0.15/0.41 (step-pop @p391 :rule scope :premises (@p68)) % 0.15/0.41 (step @p69 :rule process_scope :premises (@p391) :args (@t128)) % 0.15/0.41 (step @p71 :rule implies_elim :premises (@p69)) % 0.15/0.41 (step @p72 :rule eq_resolve :premises (@p71 @p66)) % 0.15/0.41 (step @p73 :rule bool-double-not-elim :args (@t125)) % 0.15/0.41 (step @p74 :rule refl :args (@t127)) % 0.15/0.41 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t127 (not @t126)))) % 0.15/0.41 (step @p76 :rule cnf_or_neg :args (@t127 0)) % 0.15/0.41 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.15/0.41 (step @p78 :rule reordering :premises (@p77) :args ((or @t125 @t127))) % 0.15/0.41 (step @p79 :rule bool-double-not-elim :args (@t123)) % 0.15/0.41 (step @p80 :rule nary_cong :premises (@p74 @p79) :args ((or @t127 (not @t124)))) % 0.15/0.41 (step @p81 :rule cnf_or_neg :args (@t127 1)) % 0.15/0.41 (step @p82 :rule eq_resolve :premises (@p81 @p80)) % 0.15/0.41 (step @p83 :rule reordering :premises (@p82) :args ((or @t123 @t127))) % 0.15/0.41 (step @p84 :rule bool-and-de-morgan :args (@t5 @t34 true)) % 0.15/0.41 (step @p85 :rule cong :premises (@p84) :args (@t129)) % 0.15/0.41 (step @p86 :rule cong :premises (@p85) :args (@t130)) % 0.15/0.41 (step @p87 :rule exists-elim :args ((= @t70 @t130))) % 0.15/0.41 (step @p88 :rule trans :premises (@p87 @p86)) % 0.15/0.41 (step @p89 :rule refl :args (@t35)) % 0.15/0.41 (step @p90 :rule nary_cong :premises (@p89 @p88) :args (@t71)) % 0.15/0.41 (step @p91 :rule refl :args (@t72)) % 0.15/0.41 (step @p92 :rule cong :premises (@p91 @p90) :args (@t73)) % 0.15/0.41 (step @p93 :rule cong :premises (@p92) :args (@t74)) % 0.15/0.41 (step @p94 :rule eq_resolve :premises (@p23 @p93)) % 0.15/0.41 (step @p95 :rule instantiate :premises (@p94) :args ((@list @t101 @t100 @t99 @t122))) % 0.15/0.41 (step @p96 :rule cnf_equiv_pos1 :args (@t136)) % 0.15/0.41 (step @p97 :rule reordering :premises (@p96) :args ((or @t126 @t135 (not @t136)))) % 0.15/0.41 (step @p98 :rule cnf_and_pos :args (@t135 0)) % 0.15/0.41 (step @p99 :rule reordering :premises (@p98) :args ((or @t134 @t137))) % 0.15/0.41 (step @p100 :rule cnf_and_pos :args (@t135 1)) % 0.15/0.41 (step @p101 :rule reordering :premises (@p100) :args ((or @t133 @t137))) % 0.15/0.41 (step @p102 :rule refl :args (@t144)) % 0.15/0.41 (step @p103 :rule bool-double-not-elim :args (@t132)) % 0.15/0.41 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or (not @t133) @t144))) % 0.15/0.41 (assume-push @p392 @t133) % 0.15/0.41 (step @p106 :rule skolemize :premises (@p392)) % 0.15/0.41 (step-pop @p393 :rule scope :premises (@p106)) % 0.15/0.41 (step @p107 :rule process_scope :premises (@p393) :args (@t144)) % 0.15/0.41 (step @p109 :rule implies_elim :premises (@p107)) % 0.15/0.41 (step @p110 :rule eq_resolve :premises (@p109 @p104)) % 0.15/0.41 (step @p111 :rule bool-double-not-elim :args (@t141)) % 0.15/0.41 (step @p112 :rule refl :args (@t143)) % 0.15/0.41 (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or @t143 (not @t142)))) % 0.15/0.41 (step @p114 :rule cnf_or_neg :args (@t143 0)) % 0.15/0.41 (step @p115 :rule eq_resolve :premises (@p114 @p113)) % 0.15/0.41 (step @p116 :rule reordering :premises (@p115) :args ((or @t141 @t143))) % 0.15/0.41 (step @p117 :rule bool-double-not-elim :args (@t139)) % 0.15/0.41 (step @p118 :rule nary_cong :premises (@p112 @p117) :args ((or @t143 (not @t140)))) % 0.15/0.41 (step @p119 :rule cnf_or_neg :args (@t143 1)) % 0.15/0.41 (step @p120 :rule eq_resolve :premises (@p119 @p118)) % 0.15/0.41 (step @p121 :rule reordering :premises (@p120) :args ((or @t139 @t143))) % 0.15/0.41 (step @p122 :rule instantiate :premises (@p36) :args ((@list @t100 @t98))) % 0.15/0.41 (step @p123 :rule aci_norm :args ((= (or @t145 @t88) @t96))) % 0.15/0.41 (step @p124 :rule refl :args (@t88)) % 0.15/0.41 (step @p125 :rule aci_norm :args ((= (or @t95 (or @t94 @t93)) @t145))) % 0.15/0.41 (step @p126 :rule bool-and-de-morgan :args (@t63 @t12 true)) % 0.15/0.41 (step @p127 :rule refl :args (@t95)) % 0.15/0.41 (step @p128 :rule nary_cong :premises (@p127 @p126) :args ((or @t95 (not (and @t63 @t12))))) % 0.15/0.41 (step @p129 :rule bool-and-de-morgan :args (@t41 @t63 (and @t12))) % 0.15/0.41 (step @p130 :rule trans :premises (@p129 @p128)) % 0.15/0.41 (step @p131 :rule trans :premises (@p130 @p125)) % 0.15/0.41 (step @p132 :rule nary_cong :premises (@p131 @p124) :args ((or (not @t89) @t88))) % 0.15/0.41 (step @p133 :rule trans :premises (@p132 @p123)) % 0.15/0.41 (step @p134 :rule bool-impl-elim :args (@t89 @t88)) % 0.15/0.41 (step @p135 :rule trans :premises (@p134 @p133)) % 0.15/0.41 (step @p136 :rule cong :premises (@p135) :args (@t91)) % 0.15/0.41 (step @p137 :rule cong :premises (@p136) :args (@t92)) % 0.15/0.41 (step @p138 :rule eq_resolve :premises (@p29 @p137)) % 0.15/0.41 (step @p139 :rule skolemize :premises (@p138)) % 0.15/0.41 (step @p140 :rule bool-double-not-elim :args (@t146)) % 0.15/0.41 (step @p141 :rule refl :args (@t153)) % 0.15/0.41 (step @p142 :rule nary_cong :premises (@p141 @p140) :args ((or @t153 (not @t148)))) % 0.15/0.41 (step @p143 :rule cnf_or_neg :args (@t153 2)) % 0.15/0.41 (step @p144 :rule eq_resolve :premises (@p143 @p142)) % 0.15/0.41 (step @p145 :rule reordering :premises (@p144) :args ((or @t146 @t153))) % 0.15/0.41 (step @p146 :rule chain_m_resolution :premises (@p145 @p139) :args (@t146 @t154 @t155)) % 0.15/0.41 (step @p147 :rule cnf_equiv_pos1 :args (@t158)) % 0.15/0.41 (step @p148 :rule reordering :premises (@p147) :args ((or @t148 @t157 (not @t158)))) % 0.15/0.41 (step @p149 :rule chain_m_resolution :premises (@p148 @p146 @p122) :args (@t157 @t159 (@list @t146 @t158))) % 0.15/0.41 (step @p150 :rule instantiate :premises (@p149) :args ((@list @t138))) % 0.15/0.41 (step @p151 :rule cnf_or_pos :args (@t161)) % 0.15/0.41 (step @p152 :rule reordering :premises (@p151) :args ((or @t142 @t160 (not @t161)))) % 0.15/0.41 (step @p153 :rule aci_norm :args ((= (or @t168 @t167) (or @t166 @t165 @t164 @t163 @t162 @t53)))) % 0.15/0.41 (step @p154 :rule aci_norm :args ((= (or (or @t163 @t162) @t53) @t167))) % 0.15/0.41 (step @p155 :rule refl :args (@t53)) % 0.15/0.41 (step @p156 :rule bool-and-de-morgan :args (@t55 @t54 true)) % 0.15/0.41 (step @p157 :rule nary_cong :premises (@p156 @p155) :args ((or (not @t56) @t53))) % 0.15/0.41 (step @p158 :rule trans :premises (@p157 @p154)) % 0.15/0.41 (step @p159 :rule bool-impl-elim :args (@t56 @t53)) % 0.15/0.41 (step @p160 :rule trans :premises (@p159 @p158)) % 0.15/0.41 (step @p161 :rule aci_norm :args ((= (or @t166 (or @t165 @t164)) @t168))) % 0.15/0.41 (step @p162 :rule bool-and-de-morgan :args (@t58 @t35 true)) % 0.15/0.41 (step @p163 :rule refl :args (@t166)) % 0.15/0.41 (step @p164 :rule nary_cong :premises (@p163 @p162) :args ((or @t166 (not (and @t58 @t35))))) % 0.15/0.41 (step @p165 :rule bool-and-de-morgan :args (@t59 @t58 (and @t35))) % 0.15/0.41 (step @p166 :rule trans :premises (@p165 @p164)) % 0.15/0.41 (step @p167 :rule trans :premises (@p166 @p161)) % 0.15/0.41 (step @p168 :rule nary_cong :premises (@p167 @p160) :args ((or (not @t60) @t57))) % 0.15/0.41 (step @p169 :rule trans :premises (@p168 @p153)) % 0.15/0.41 (step @p170 :rule bool-impl-elim :args (@t60 @t57)) % 0.15/0.41 (step @p171 :rule trans :premises (@p170 @p169)) % 0.15/0.41 (step @p172 :rule cong :premises (@p171) :args (@t62)) % 0.15/0.41 (step @p173 :rule refl :args (@t63)) % 0.15/0.41 (step @p174 :rule cong :premises (@p173 @p172) :args (@t64)) % 0.15/0.41 (step @p175 :rule cong :premises (@p174) :args (@t65)) % 0.15/0.41 (step @p176 :rule eq_resolve :premises (@p17 @p175)) % 0.15/0.41 (step @p177 :rule instantiate :premises (@p176) :args (@t169)) % 0.15/0.41 (step @p178 :rule bool-double-not-elim :args (@t149)) % 0.15/0.41 (step @p179 :rule nary_cong :premises (@p141 @p178) :args ((or @t153 (not @t150)))) % 0.15/0.41 (step @p180 :rule cnf_or_neg :args (@t153 1)) % 0.15/0.41 (step @p181 :rule eq_resolve :premises (@p180 @p179)) % 0.15/0.41 (step @p182 :rule reordering :premises (@p181) :args ((or @t149 @t153))) % 0.15/0.41 (step @p183 :rule chain_m_resolution :premises (@p182 @p139) :args (@t149 @t154 @t155)) % 0.15/0.41 (step @p184 :rule cnf_equiv_pos1 :args (@t172)) % 0.15/0.41 (step @p185 :rule reordering :premises (@p184) :args ((or @t150 @t171 (not @t172)))) % 0.15/0.41 (step @p186 :rule chain_m_resolution :premises (@p185 @p183 @p177) :args (@t171 @t159 (@list @t149 @t172))) % 0.15/0.41 (step @p187 :rule eq-symm :args (@t138 @t108)) % 0.15/0.41 (step @p188 :rule refl :args (@t124)) % 0.15/0.41 (step @p189 :rule refl :args (@t140)) % 0.15/0.41 (step @p190 :rule refl :args (@t173)) % 0.15/0.41 (step @p191 :rule refl :args (@t174)) % 0.15/0.41 (step @p192 :rule refl :args (@t175)) % 0.15/0.41 (step @p193 :rule nary_cong :premises (@p192 @p191 @p190 @p189 @p188 @p187) :args (@t176)) % 0.15/0.41 (step @p194 :rule refl :args (@t171)) % 0.15/0.41 (step @p195 :rule cong :premises (@p194 @p193) :args ((=> @t171 @t176))) % 0.15/0.41 (assume-push @p394 @t171) % 0.15/0.41 (step @p197 :rule instantiate :premises (@p186) :args ((@list @t138 @t108 @t122))) % 0.15/0.41 (step-pop @p395 :rule scope 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:premises (@p406)) % 0.15/0.41 (step @p228 :rule process_scope :premises (@p407) :args (@t182)) % 0.15/0.41 (step @p232 :rule implies_elim :premises (@p228)) % 0.15/0.41 (step @p233 :rule resolution :premises (@p232 @p220) :args (true @t182)) % 0.15/0.41 (step @p234 :rule not_and :premises (@p233)) % 0.15/0.41 (step @p235 :rule eq_resolve :premises (@p234 @p208)) % 0.15/0.41 (step @p236 :rule chain_m_resolution :premises (@p235 @p204 @p202 @p152 @p150 @p121 @p116 @p110 @p101 @p99 @p97 @p95 @p83 @p78 @p72 @p63 @p61 @p59 @p57 @p45 @p44) :args (@t112 (@list false false false false false false true true false false false false false true true false false false true false) (@list @t177 @t178 @t160 @t161 @t139 @t141 @t143 @t132 @t134 @t135 @t136 @t123 @t125 @t127 @t116 @t118 @t119 @t120 @t110 @t109))) % 0.15/0.41 (step @p237 :rule refl :args (@t183)) % 0.15/0.41 (step @p238 :rule bool-double-not-elim :args (@t107)) % 0.15/0.41 (step @p239 :rule nary_cong :premises (@p238 @p237) :args ((or (not @t184) @t183))) % 0.15/0.41 (assume-push @p408 @t184) % 0.15/0.41 (step @p241 :rule skolemize :premises (@p408)) % 0.15/0.41 (step-pop @p409 :rule scope :premises (@p241)) % 0.15/0.41 (step @p242 :rule process_scope :premises (@p409) :args (@t183)) % 0.15/0.41 (step @p244 :rule implies_elim :premises (@p242)) % 0.15/0.41 (step @p245 :rule eq_resolve :premises (@p244 @p239)) % 0.15/0.41 (step @p246 :rule chain_m_resolution :premises (@p245 @p236) :args (@t107 @t179 (@list @t112))) % 0.15/0.41 (step @p247 :rule cnf_equiv_pos2 :args (@t186)) % 0.15/0.41 (step @p248 :rule reordering :premises (@p247) :args ((or @t185 @t184 (not @t186)))) % 0.15/0.41 (step @p249 :rule chain_m_resolution :premises (@p248 @p246 @p38) :args (@t185 @t159 (@list @t107 @t186))) % 0.15/0.41 (step @p250 :rule instantiate :premises (@p2) :args (@t104)) % 0.15/0.41 (step @p251 :rule cnf_or_neg :args (@t153 3)) % 0.15/0.41 (step @p252 :rule chain_m_resolution :premises (@p251 @p139) :args ((not @t147) @t154 @t155)) % 0.15/0.41 (step @p253 :rule cnf_equiv_pos2 :args (@t189)) % 0.15/0.41 (step @p254 :rule reordering :premises (@p253) :args ((or @t147 @t190 (not @t189)))) % 0.15/0.41 (step @p255 :rule chain_m_resolution :premises (@p254 @p252 @p250) :args (@t190 @t191 (@list @t147 @t189))) % 0.15/0.41 (step @p256 :rule cnf_and_neg :args (@t188)) % 0.15/0.41 (step @p257 :rule chain_m_resolution :premises (@p256 @p255 @p249) :args ((not @t187) @t191 (@list @t188 @t185))) % 0.15/0.41 (step @p258 :rule cnf_equiv_pos2 :args (@t193)) % 0.15/0.41 (step @p259 :rule reordering :premises (@p258) :args ((or @t187 @t194 (not @t193)))) % 0.15/0.41 (step @p260 :rule chain_m_resolution :premises (@p259 @p257 @p37) :args (@t194 @t191 (@list @t187 @t193))) % 0.15/0.41 (step @p261 :rule refl :args (@t200)) % 0.15/0.41 (step @p262 :rule bool-double-not-elim :args (@t192)) % 0.15/0.41 (step @p263 :rule nary_cong :premises (@p262 @p261) :args ((or (not @t194) @t200))) % 0.15/0.41 (assume-push @p410 @t194) % 0.15/0.41 (step @p265 :rule skolemize :premises (@p410)) % 0.15/0.41 (step-pop @p411 :rule scope :premises (@p265)) % 0.15/0.41 (step @p266 :rule process_scope :premises (@p411) :args (@t200)) % 0.15/0.41 (step @p268 :rule implies_elim :premises (@p266)) % 0.15/0.41 (step @p269 :rule eq_resolve :premises (@p268 @p263)) % 0.15/0.41 (step @p270 :rule chain_m_resolution :premises (@p269 @p260) :args (@t200 @t154 (@list @t192))) % 0.15/0.41 (step @p271 :rule bool-double-not-elim :args (@t197)) % 0.15/0.41 (step @p272 :rule refl :args (@t199)) % 0.15/0.41 (step @p273 :rule nary_cong :premises (@p272 @p271) :args ((or @t199 (not @t198)))) % 0.15/0.41 (step @p274 :rule cnf_or_neg :args (@t199 0)) % 0.15/0.41 (step @p275 :rule eq_resolve :premises (@p274 @p273)) % 0.15/0.41 (step @p276 :rule reordering :premises (@p275) :args ((or @t197 @t199))) % 0.15/0.41 (step @p277 :rule cnf_or_neg :args (@t199 1)) % 0.15/0.41 (step @p278 :rule instantiate :premises (@p149) :args (@t201)) % 0.15/0.41 (step @p279 :rule cnf_or_pos :args (@t203)) % 0.15/0.41 (step @p280 :rule reordering :premises (@p279) :args ((or @t198 @t202 (not @t203)))) % 0.15/0.41 (step @p281 :rule instantiate :premises (@p56) :args ((@list @t101 @t102 @t98 @t195))) % 0.15/0.41 (step @p282 :rule cnf_equiv_pos2 :args (@t208)) % 0.15/0.41 (step @p283 :rule reordering :premises (@p282) :args ((or @t196 (not @t207) (not @t208)))) % 0.15/0.41 (step @p284 :rule bool-double-not-elim :args (@t205)) % 0.15/0.41 (step @p285 :rule refl :args (@t209)) % 0.15/0.41 (step @p286 :rule refl :args (@t207)) % 0.15/0.41 (step @p287 :rule nary_cong :premises (@p286 @p285 @p284) :args ((or @t207 @t209 (not @t206)))) % 0.15/0.41 (step @p288 :rule cnf_and_neg :args (@t207)) % 0.15/0.41 (step @p289 :rule eq_resolve :premises (@p288 @p287)) % 0.15/0.41 (step @p290 :rule reordering :premises (@p289) :args ((or @t205 @t207 @t209))) % 0.15/0.41 (step @p291 :rule aci_norm :args ((= (or @t216 @t215) (or @t214 @t213 @t212 @t211 @t210 @t23)))) % 0.15/0.41 (step @p292 :rule aci_norm :args ((= (or (or @t211 @t210) @t23) @t215))) % 0.15/0.41 (step @p293 :rule refl :args (@t23)) % 0.15/0.41 (step @p294 :rule bool-and-de-morgan :args (@t26 @t25 true)) % 0.15/0.41 (step @p295 :rule nary_cong :premises (@p294 @p293) :args ((or (not @t27) @t23))) % 0.15/0.41 (step @p296 :rule trans :premises (@p295 @p292)) % 0.15/0.41 (step @p297 :rule bool-impl-elim :args (@t27 @t23)) % 0.15/0.41 (step @p298 :rule trans :premises (@p297 @p296)) % 0.15/0.41 (step @p299 :rule aci_norm :args ((= (or @t214 (or @t213 @t212)) @t216))) % 0.15/0.41 (step @p300 :rule bool-and-de-morgan :args (@t30 @t29 true)) % 0.15/0.41 (step @p301 :rule refl :args (@t214)) % 0.15/0.41 (step @p302 :rule nary_cong :premises (@p301 @p300) :args ((or @t214 (not (and @t30 @t29))))) % 0.15/0.41 (step @p303 :rule bool-and-de-morgan :args (@t5 @t30 (and @t29))) % 0.15/0.41 (step @p304 :rule trans :premises (@p303 @p302)) % 0.15/0.41 (step @p305 :rule trans :premises (@p304 @p299)) % 0.15/0.41 (step @p306 :rule nary_cong :premises (@p305 @p298) :args ((or (not @t31) @t28))) % 0.15/0.41 (step @p307 :rule trans :premises (@p306 @p291)) % 0.15/0.41 (step @p308 :rule bool-impl-elim :args (@t31 @t28)) % 0.15/0.41 (step @p309 :rule trans :premises (@p308 @p307)) % 0.15/0.41 (step @p310 :rule cong :premises (@p309) :args (@t33)) % 0.15/0.41 (step @p311 :rule bool-impl-elim :args (@t5 @t217)) % 0.15/0.41 (step @p312 :rule cong :premises (@p311) :args ((forall @t6 (=> @t5 @t217)))) % 0.15/0.41 (step @p313 :rule cong :premises (@p51 @p50) :args (@t38)) % 0.15/0.41 (step @p314 :rule cong :premises (@p313) :args (@t39)) % 0.15/0.41 (step @p315 :rule trans :premises (@p314 @p312)) % 0.15/0.41 (step @p316 :rule nary_cong :premises (@p315 @p310) :args (@t40)) % 0.15/0.41 (step @p317 :rule refl :args (@t41)) % 0.15/0.41 (step @p318 :rule cong :premises (@p317 @p316) :args (@t42)) % 0.15/0.41 (step @p319 :rule cong :premises (@p318) :args (@t44)) % 0.15/0.41 (step @p320 :rule eq_resolve :premises (@p12 @p319)) % 0.15/0.41 (step @p321 :rule instantiate :premises (@p320) :args (@t169)) % 0.15/0.41 (step @p322 :rule bool-double-not-elim :args (@t151)) % 0.15/0.41 (step @p323 :rule nary_cong :premises (@p141 @p322) :args ((or @t153 (not @t152)))) % 0.15/0.41 (step @p324 :rule cnf_or_neg :args (@t153 0)) % 0.15/0.41 (step @p325 :rule eq_resolve :premises (@p324 @p323)) % 0.15/0.41 (step @p326 :rule reordering :premises (@p325) :args ((or @t151 @t153))) % 0.15/0.41 (step @p327 :rule chain_m_resolution :premises (@p326 @p139) :args (@t151 @t154 @t155)) % 0.15/0.41 (step @p328 :rule cnf_equiv_pos1 :args (@t221)) % 0.15/0.41 (step @p329 :rule reordering :premises (@p328) :args ((or @t152 @t220 (not @t221)))) % 0.15/0.41 (step @p330 :rule chain_m_resolution :premises (@p329 @p327 @p321) :args (@t220 @t159 (@list @t151 @t221))) % 0.15/0.41 (step @p331 :rule cnf_and_pos :args (@t220 0)) % 0.15/0.41 (step @p332 :rule reordering :premises (@p331) :args ((or @t219 (not @t220)))) % 0.15/0.41 (step @p333 :rule chain_m_resolution :premises (@p332 @p330) :args (@t219 @t179 (@list @t220))) % 0.15/0.41 (step @p334 :rule instantiate :premises (@p333) :args (@t201)) % 0.15/0.41 (step @p335 :rule cnf_or_pos :args (@t224)) % 0.15/0.41 (step @p336 :rule reordering :premises (@p335) :args ((or @t209 @t223 (not @t224)))) % 0.15/0.41 (assume-push @p412 @t205) % 0.15/0.41 (step @p338 :rule instantiate :premises (@p412) :args ((@list @t225))) % 0.15/0.41 (step-pop @p413 :rule scope :premises (@p338)) % 0.15/0.41 (step @p339 :rule process_scope :premises (@p413) :args (@t230)) % 0.15/0.41 (step @p341 :rule implies_elim :premises (@p339)) % 0.15/0.41 (step @p342 :rule refl :args (@t234)) % 0.15/0.41 (step @p343 :rule bool-double-not-elim :args (@t222)) % 0.15/0.41 (step @p344 :rule nary_cong :premises (@p343 @p342) :args ((or (not @t223) @t234))) % 0.15/0.41 (assume-push @p414 @t223) % 0.15/0.41 (step @p346 :rule skolemize :premises (@p414)) % 0.15/0.41 (step-pop @p415 :rule scope :premises (@p346)) % 0.15/0.41 (step @p347 :rule process_scope :premises (@p415) :args (@t234)) % 0.15/0.41 (step @p349 :rule implies_elim :premises (@p347)) % 0.15/0.41 (step @p350 :rule eq_resolve :premises (@p349 @p344)) % 0.15/0.41 (step @p351 :rule bool-double-not-elim :args (@t231)) % 0.15/0.41 (step @p352 :rule refl :args (@t233)) % 0.15/0.41 (step @p353 :rule nary_cong :premises (@p352 @p351) :args ((or @t233 (not @t232)))) % 0.15/0.41 (step @p354 :rule cnf_or_neg :args (@t233 0)) % 0.15/0.41 (step @p355 :rule eq_resolve :premises (@p354 @p353)) % 0.15/0.41 (step @p356 :rule reordering :premises (@p355) :args ((or @t231 @t233))) % 0.15/0.41 (step @p357 :rule bool-double-not-elim :args (@t226)) % 0.15/0.41 (step @p358 :rule nary_cong :premises (@p352 @p357) :args ((or @t233 (not @t227)))) % 0.15/0.41 (step @p359 :rule cnf_or_neg :args (@t233 1)) % 0.15/0.41 (step @p360 :rule eq_resolve :premises (@p359 @p358)) % 0.15/0.41 (step @p361 :rule reordering :premises (@p360) :args ((or @t226 @t233))) % 0.15/0.41 (step @p362 :rule bool-double-not-elim :args (@t235)) % 0.15/0.41 (step @p363 :rule refl :args (@t232)) % 0.15/0.41 (step @p364 :rule refl :args (@t237)) % 0.15/0.41 (step @p365 :rule nary_cong :premises (@p364 @p363 @p362) :args ((or @t237 @t232 (not @t236)))) % 0.15/0.41 (step @p366 :rule cnf_and_neg :args (@t237)) % 0.15/0.41 (step @p367 :rule eq_resolve :premises (@p366 @p365)) % 0.15/0.41 (step @p368 :rule reordering :premises (@p367) :args ((or @t232 @t235 @t237))) % 0.15/0.41 (step @p369 :rule cnf_or_pos :args (@t230)) % 0.15/0.41 (step @p370 :rule reordering :premises (@p369) :args ((or @t227 @t229 (not @t230)))) % 0.15/0.41 (step @p371 :rule instantiate :premises (@p94) :args ((@list @t101 @t100 @t99 @t225))) % 0.15/0.41 (step @p372 :rule cnf_equiv_pos2 :args (@t238)) % 0.15/0.41 (step @p373 :rule reordering :premises (@p372) :args ((or @t228 (not @t237) (not @t238)))) % 0.15/0.41 (step @p374 :rule chain_m_resolution :premises (@p373 @p371 @p370 @p368 @p361 @p356 @p350 @p341 @p336 @p334 @p290 @p283 @p281 @p280 @p278 @p277 @p276) :args ((or @t199 @t235) (@list false true false false false true false true false false true false false false true false) (@list @t238 @t228 @t237 @t226 @t231 @t233 @t230 @t222 @t224 @t205 @t207 @t208 @t202 @t203 @t196 @t197))) % 0.15/0.41 (step @p375 :rule chain_m_resolution :premises (@p374 @p270) :args (@t235 @t154 @t239)) % 0.15/0.41 (step @p376 :rule chain_m_resolution :premises (@p276 @p270) :args (@t197 @t154 @t239)) % 0.15/0.41 (step @p377 :rule chain_m_resolution :premises (@p280 @p376 @p278) :args (@t202 @t159 (@list @t197 @t203))) % 0.15/0.41 (step @p378 :rule chain_m_resolution :premises (@p336 @p377 @p334) :args (@t223 @t159 (@list @t202 @t224))) % 0.15/0.41 (step @p379 :rule chain_m_resolution :premises (@p350 @p378) :args (@t234 @t154 (@list @t222))) % 0.15/0.41 (step @p380 :rule chain_m_resolution :premises (@p361 @p379) :args (@t226 @t154 (@list @t233))) % 0.15/0.41 (step @p381 :rule cnf_or_pos :args (@t240)) % 0.15/0.41 (step @p382 :rule reordering :premises (@p381) :args ((or @t198 @t227 @t241))) % 0.15/0.41 (step @p383 :rule chain_m_resolution :premises (@p382 @p376 @p380) :args (@t241 @t159 (@list @t197 @t226))) % 0.15/0.41 (assume-push @p416 @t235) % 0.15/0.41 (step @p385 :rule instantiate :premises (@p416) :args (@t201)) % 0.15/0.41 (step-pop @p417 :rule scope :premises (@p385)) % 0.15/0.41 (step @p386 :rule process_scope :premises (@p417) :args (@t240)) % 0.15/0.41 (step @p388 :rule implies_elim :premises (@p386)) % 0.15/0.41 (step @p389 false :rule chain_m_resolution :premises (@p388 @p383 @p375) :args (false @t191 (@list @t240 @t235))) % 0.15/0.41 ) % 0.15/0.41 % SZS output end Proof % 0.15/0.41 % cvc5 exiting %------------------------------------------------------------------------------