%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET745+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 : n015.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 08:48:33 AM UTC 2026 % Result : Theorem 0.52s 0.71s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET745+4 : TPTP v9.2.1. Bugfixed v2.2.1. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:11:19 EDT 2026 % 0.17/0.34 % CPUTime : % 0.33/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.52/0.71 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.71 % SZS status Theorem % 0.52/0.71 % SZS output start Proof % 0.52/0.71 ( % 0.52/0.71 (declare-sort $$unsorted 0) % 0.52/0.71 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.inverse_function (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.empty_set $$unsorted) % 0.52/0.71 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.equal_maps (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.one_to_one (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.increasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.surjective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.isomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.compose_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.identity (-> $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.injective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.compose_function (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.inverse_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.inverse_image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.decreasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.71 (declare-const tptp.inverse_image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.71 (define @t1 () (@var "B" $$unsorted)) % 0.52/0.71 (define @t2 () (@var "X" $$unsorted)) % 0.52/0.71 (define @t3 () (tptp.member @t2 @t1)) % 0.52/0.71 (define @t4 () (@var "A" $$unsorted)) % 0.52/0.71 (define @t5 () (tptp.member @t2 @t4)) % 0.52/0.71 (define @t6 () (@list @t2)) % 0.52/0.71 (define @t7 () (tptp.subset @t4 @t1)) % 0.52/0.71 (define @t8 () (@list @t4 @t1)) % 0.52/0.71 (define @t9 () (@list @t2 @t4)) % 0.52/0.71 (define @t10 () (@list @t2 @t4 @t1)) % 0.52/0.71 (define @t11 () (forall @t10 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.52/0.71 (define @t12 () (@var "E" $$unsorted)) % 0.52/0.71 (define @t13 () (= @t2 @t4)) % 0.52/0.71 (define @t14 () (@var "Y" $$unsorted)) % 0.52/0.71 (define @t15 () (tptp.member @t2 @t14)) % 0.52/0.71 (define @t16 () (tptp.member @t14 @t4)) % 0.52/0.71 (define @t17 () (@list @t14)) % 0.52/0.71 (define @t18 () (@var "Y2" $$unsorted)) % 0.52/0.71 (define @t19 () (@var "Y1" $$unsorted)) % 0.52/0.71 (define @t20 () (= @t19 @t18)) % 0.52/0.71 (define @t21 () (@var "F" $$unsorted)) % 0.52/0.71 (define @t22 () (tptp.apply @t21 @t2 @t18)) % 0.52/0.71 (define @t23 () (tptp.apply @t21 @t2 @t19)) % 0.52/0.71 (define @t24 () (and @t23 @t22)) % 0.52/0.71 (define @t25 () (=> @t24 @t20)) % 0.52/0.71 (define @t26 () (tptp.member @t18 @t1)) % 0.52/0.71 (define @t27 () (tptp.member @t19 @t1)) % 0.52/0.71 (define @t28 () (and @t5 @t27 @t26)) % 0.52/0.71 (define @t29 () (@list @t2 @t19 @t18)) % 0.52/0.71 (define @t30 () (forall @t29 (=> @t28 @t25))) % 0.52/0.71 (define @t31 () (tptp.apply @t21 @t2 @t14)) % 0.52/0.71 (define @t32 () (tptp.member @t14 @t1)) % 0.52/0.71 (define @t33 () (and @t32 @t31)) % 0.52/0.71 (define @t34 () (exists @t17 @t33)) % 0.52/0.71 (define @t35 () (=> @t5 @t34)) % 0.52/0.71 (define @t36 () (forall @t6 @t35)) % 0.52/0.71 (define @t37 () (and @t36 @t30)) % 0.52/0.71 (define @t38 () (tptp.maps @t21 @t4 @t1)) % 0.52/0.71 (define @t39 () (= @t38 @t37)) % 0.52/0.71 (define @t40 () (@list @t21 @t4 @t1)) % 0.52/0.71 (define @t41 () (forall @t40 @t39)) % 0.52/0.71 (define @t42 () (@var "Z" $$unsorted)) % 0.52/0.71 (define @t43 () (@var "G" $$unsorted)) % 0.52/0.71 (define @t44 () (exists @t17 (and @t32 @t31 (tptp.apply @t43 @t14 @t42)))) % 0.52/0.71 (define @t45 () (@var "H" $$unsorted)) % 0.52/0.71 (define @t46 () (@var "C" $$unsorted)) % 0.52/0.71 (define @t47 () (and @t5 (tptp.member @t42 @t46))) % 0.52/0.71 (define @t48 () (@var "X2" $$unsorted)) % 0.52/0.71 (define @t49 () (@var "X1" $$unsorted)) % 0.52/0.71 (define @t50 () (tptp.member @t48 @t4)) % 0.52/0.71 (define @t51 () (tptp.member @t49 @t4)) % 0.52/0.71 (define @t52 () (tptp.injective @t21 @t4 @t1)) % 0.52/0.71 (define @t53 () (tptp.surjective @t21 @t4 @t1)) % 0.52/0.71 (define @t54 () (tptp.one_to_one @t21 @t4 @t1)) % 0.52/0.71 (define @t55 () (and @t5 @t32)) % 0.52/0.71 (define @t56 () (@list @t2 @t14)) % 0.52/0.71 (define @t57 () (exists @t6 (and @t5 @t31))) % 0.52/0.71 (define @t58 () (@var "S" $$unsorted)) % 0.52/0.71 (define @t59 () (tptp.apply @t58 @t19 @t18)) % 0.52/0.71 (define @t60 () (tptp.apply @t21 @t48 @t18)) % 0.52/0.71 (define @t61 () (tptp.apply @t21 @t49 @t19)) % 0.52/0.71 (define @t62 () (@var "R" $$unsorted)) % 0.52/0.71 (define @t63 () (tptp.apply @t62 @t49 @t48)) % 0.52/0.71 (define @t64 () (and @t51 @t27 @t50 @t26 @t63 @t61 @t60)) % 0.52/0.71 (define @t65 () (@list @t49 @t19 @t48 @t18)) % 0.52/0.71 (define @t66 () (@list @t21 @t4 @t62 @t1 @t58)) % 0.52/0.71 (define @t67 () (@var "F2" $$unsorted)) % 0.52/0.71 (define @t68 () (tptp.apply @t67 @t2 @t18)) % 0.52/0.71 (define @t69 () (@var "F1" $$unsorted)) % 0.52/0.71 (define @t70 () (tptp.apply @t69 @t2 @t19)) % 0.52/0.71 (define @t71 () (@var "A2" $$unsorted)) % 0.52/0.71 (define @t72 () (tptp.member @t2 @t71)) % 0.52/0.71 (define @t73 () (@var "A1" $$unsorted)) % 0.52/0.71 (define @t74 () (tptp.member @t2 @t73)) % 0.52/0.71 (define @t75 () (and @t74 @t72 @t27 @t26 @t70 @t68)) % 0.52/0.71 (define @t76 () (forall @t29 (=> @t75 @t20))) % 0.52/0.71 (define @t77 () (tptp.union @t73 @t71)) % 0.52/0.71 (define @t78 () (tptp.maps @t21 @t77 @t1)) % 0.52/0.71 (define @t79 () (= @t78 @t76)) % 0.52/0.71 (define @t80 () (= @t31 (or (and @t74 (tptp.apply @t69 @t2 @t14)) (and @t72 (tptp.apply @t67 @t2 @t14))))) % 0.52/0.71 (define @t81 () (tptp.member @t2 @t77)) % 0.52/0.71 (define @t82 () (and @t81 @t32)) % 0.52/0.71 (define @t83 () (forall @t56 (=> @t82 @t80))) % 0.52/0.71 (define @t84 () (tptp.maps @t67 @t71 @t1)) % 0.52/0.71 (define @t85 () (tptp.maps @t69 @t73 @t1)) % 0.52/0.71 (define @t86 () (and @t85 @t84 @t83)) % 0.52/0.71 (define @t87 () (=> @t86 @t79)) % 0.52/0.71 (define @t88 () (@list @t69 @t67 @t21 @t73 @t71 @t1)) % 0.52/0.71 (define @t89 () (forall @t88 @t87)) % 0.52/0.71 (define @t90 () (not @t89)) % 0.52/0.71 (define @t91 () (not @t68)) % 0.52/0.71 (define @t92 () (not @t70)) % 0.52/0.71 (define @t93 () (not @t26)) % 0.52/0.71 (define @t94 () (not @t27)) % 0.52/0.71 (define @t95 () (not @t72)) % 0.52/0.71 (define @t96 () (not @t74)) % 0.52/0.71 (define @t97 () (or @t96 @t95 @t94 @t93 @t92 @t91 @t20)) % 0.52/0.71 (define @t98 () (= @t78 (forall @t29 @t97))) % 0.52/0.71 (define @t99 () (not @t32)) % 0.52/0.71 (define @t100 () (not @t81)) % 0.52/0.71 (define @t101 () (or @t100 @t99 @t80)) % 0.52/0.71 (define @t102 () (forall @t56 @t101)) % 0.52/0.71 (define @t103 () (not @t102)) % 0.52/0.71 (define @t104 () (not @t84)) % 0.52/0.71 (define @t105 () (not @t85)) % 0.52/0.71 (define @t106 () (or @t105 @t104 @t103 @t98)) % 0.52/0.71 (define @t107 () (forall @t88 @t106)) % 0.52/0.71 (define @t108 () (@quantifiers_skolemize @t107 4)) % 0.52/0.71 (define @t109 () (@quantifiers_skolemize @t107 3)) % 0.52/0.71 (define @t110 () (tptp.union @t109 @t108)) % 0.52/0.71 (define @t111 () (@quantifiers_skolemize @t107 2)) % 0.52/0.71 (define @t112 () (tptp.apply @t111 @t2 @t14)) % 0.52/0.71 (define @t113 () (@quantifiers_skolemize @t107 5)) % 0.52/0.71 (define @t114 () (not (tptp.member @t14 @t113))) % 0.52/0.71 (define @t115 () (not (tptp.member @t2 @t110))) % 0.52/0.71 (define @t116 () (forall @t6 (or @t115 (not (forall @t17 (or @t114 (not @t112))))))) % 0.52/0.71 (define @t117 () (@quantifiers_skolemize @t116 0)) % 0.52/0.71 (define @t118 () (tptp.member @t117 @t110)) % 0.52/0.71 (define @t119 () (forall @t17 (or @t114 (not (tptp.apply @t111 @t117 @t14))))) % 0.52/0.71 (define @t120 () (not @t119)) % 0.52/0.71 (define @t121 () (not @t118)) % 0.52/0.71 (define @t122 () (or @t121 @t120)) % 0.52/0.71 (define @t123 () (tptp.member @t117 @t108)) % 0.52/0.71 (define @t124 () (tptp.member @t117 @t109)) % 0.52/0.71 (define @t125 () (or @t124 @t123)) % 0.52/0.71 (define @t126 () (= @t118 @t125)) % 0.52/0.71 (define @t127 () (@quantifiers_skolemize @t107 1)) % 0.52/0.71 (define @t128 () (forall @t17 (or @t114 (not (tptp.apply @t127 @t117 @t14))))) % 0.52/0.71 (define @t129 () (@quantifiers_skolemize @t128 0)) % 0.52/0.71 (define @t130 () (tptp.apply @t111 @t117 @t129)) % 0.52/0.71 (define @t131 () (not @t130)) % 0.52/0.71 (define @t132 () (tptp.member @t129 @t113)) % 0.52/0.71 (define @t133 () (not @t132)) % 0.52/0.71 (define @t134 () (or @t133 @t131)) % 0.52/0.71 (define @t135 () (@quantifiers_skolemize @t107 0)) % 0.52/0.71 (define @t136 () (forall @t17 (or @t114 (not (tptp.apply @t135 @t117 @t14))))) % 0.52/0.71 (define @t137 () (@quantifiers_skolemize @t136 0)) % 0.52/0.71 (define @t138 () (tptp.apply @t111 @t117 @t137)) % 0.52/0.71 (define @t139 () (not @t138)) % 0.52/0.71 (define @t140 () (tptp.member @t137 @t113)) % 0.52/0.71 (define @t141 () (not @t140)) % 0.52/0.71 (define @t142 () (or @t141 @t139)) % 0.52/0.71 (define @t143 () (not @t22)) % 0.52/0.71 (define @t144 () (not @t23)) % 0.52/0.71 (define @t145 () (not @t5)) % 0.52/0.71 (define @t146 () (or @t144 @t143 @t20)) % 0.52/0.71 (define @t147 () (or @t145 @t94 @t93)) % 0.52/0.71 (define @t148 () (not (forall @t17 (or @t99 (not @t31))))) % 0.52/0.71 (define @t149 () (forall @t17 (not @t33))) % 0.52/0.71 (define @t150 () (not @t149)) % 0.52/0.71 (define @t151 () (or @t105 @t104 @t103)) % 0.52/0.71 (define @t152 () (and @t85 @t84 @t102)) % 0.52/0.71 (define @t153 () (or @t96 @t95 @t94 @t93 @t92 @t91)) % 0.52/0.71 (define @t154 () (tptp.maps @t135 @t109 @t113)) % 0.52/0.71 (define @t155 () (not (tptp.apply @t127 @t2 @t18))) % 0.52/0.71 (define @t156 () (not (tptp.apply @t135 @t2 @t19))) % 0.52/0.71 (define @t157 () (not (tptp.member @t18 @t113))) % 0.52/0.71 (define @t158 () (not (tptp.member @t19 @t113))) % 0.52/0.71 (define @t159 () (tptp.member @t2 @t108)) % 0.52/0.71 (define @t160 () (not @t159)) % 0.52/0.71 (define @t161 () (tptp.member @t2 @t109)) % 0.52/0.71 (define @t162 () (not @t161)) % 0.52/0.71 (define @t163 () (forall @t29 (or @t162 @t160 @t158 @t157 @t156 @t155 @t20))) % 0.52/0.71 (define @t164 () (tptp.maps @t111 @t110 @t113)) % 0.52/0.71 (define @t165 () (= @t164 @t163)) % 0.52/0.71 (define @t166 () (tptp.apply @t127 @t2 @t14)) % 0.52/0.71 (define @t167 () (tptp.apply @t135 @t2 @t14)) % 0.52/0.71 (define @t168 () (forall @t56 (or @t115 @t114 (= @t112 (or (and @t161 @t167) (and @t159 @t166)))))) % 0.52/0.71 (define @t169 () (not @t168)) % 0.52/0.71 (define @t170 () (tptp.maps @t127 @t108 @t113)) % 0.52/0.71 (define @t171 () (not @t170)) % 0.52/0.71 (define @t172 () (not @t154)) % 0.52/0.71 (define @t173 () (or @t172 @t171 @t169 @t165)) % 0.52/0.71 (define @t174 () (@list true)) % 0.52/0.71 (define @t175 () (@list @t173)) % 0.52/0.71 (define @t176 () (forall @t29 (or @t162 @t158 @t157 @t156 (not (tptp.apply @t135 @t2 @t18)) @t20))) % 0.52/0.71 (define @t177 () (forall @t6 (or @t162 (not (forall @t17 (or @t114 (not @t167))))))) % 0.52/0.71 (define @t178 () (and @t177 @t176)) % 0.52/0.71 (define @t179 () (= @t154 @t178)) % 0.52/0.71 (define @t180 () (@list false false)) % 0.52/0.71 (define @t181 () (not @t178)) % 0.52/0.71 (define @t182 () (@list false)) % 0.52/0.71 (define @t183 () (@list @t178)) % 0.52/0.71 (define @t184 () (@list @t117)) % 0.52/0.71 (define @t185 () (not @t136)) % 0.52/0.71 (define @t186 () (not @t124)) % 0.52/0.71 (define @t187 () (or @t186 @t185)) % 0.52/0.71 (define @t188 () (tptp.apply @t135 @t117 @t137)) % 0.52/0.71 (define @t189 () (not @t188)) % 0.52/0.71 (define @t190 () (or @t141 @t189)) % 0.52/0.71 (define @t191 () (not @t190)) % 0.52/0.71 (define @t192 () (and @t124 @t188)) % 0.52/0.71 (define @t193 () (or @t192 (and @t123 (tptp.apply @t127 @t117 @t137)))) % 0.52/0.71 (define @t194 () (= @t138 @t193)) % 0.52/0.71 (define @t195 () (or @t121 @t141 @t194)) % 0.52/0.71 (define @t196 () (not @t142)) % 0.52/0.71 (define @t197 () (forall @t29 (or @t160 @t158 @t157 (not (tptp.apply @t127 @t2 @t19)) @t155 @t20))) % 0.52/0.71 (define @t198 () (forall @t6 (or @t160 (not (forall @t17 (or @t114 (not @t166))))))) % 0.52/0.71 (define @t199 () (and @t198 @t197)) % 0.52/0.71 (define @t200 () (= @t170 @t199)) % 0.52/0.71 (define @t201 () (not @t199)) % 0.52/0.71 (define @t202 () (@list @t199)) % 0.52/0.71 (define @t203 () (not @t128)) % 0.52/0.71 (define @t204 () (not @t123)) % 0.52/0.71 (define @t205 () (or @t204 @t203)) % 0.52/0.71 (define @t206 () (tptp.apply @t127 @t117 @t129)) % 0.52/0.71 (define @t207 () (not @t206)) % 0.52/0.71 (define @t208 () (or @t133 @t207)) % 0.52/0.71 (define @t209 () (not @t208)) % 0.52/0.71 (define @t210 () (and @t123 @t206)) % 0.52/0.71 (define @t211 () (or (and @t124 (tptp.apply @t135 @t117 @t129)) @t210)) % 0.52/0.71 (define @t212 () (= @t130 @t211)) % 0.52/0.71 (define @t213 () (or @t121 @t133 @t212)) % 0.52/0.71 (define @t214 () (not @t122)) % 0.52/0.71 (define @t215 () (not @t116)) % 0.52/0.71 (define @t216 () (forall @t29 (or @t115 @t158 @t157 (not (tptp.apply @t111 @t2 @t19)) (not (tptp.apply @t111 @t2 @t18)) @t20))) % 0.52/0.71 (define @t217 () (and @t116 @t216)) % 0.52/0.71 (define @t218 () (= @t164 @t217)) % 0.52/0.71 (define @t219 () (not @t218)) % 0.52/0.71 (define @t220 () (not @t164)) % 0.52/0.71 (define @t221 () (@quantifiers_skolemize @t163 2)) % 0.52/0.71 (define @t222 () (@quantifiers_skolemize @t163 1)) % 0.52/0.71 (define @t223 () (= @t222 @t221)) % 0.52/0.71 (define @t224 () (@quantifiers_skolemize @t163 0)) % 0.52/0.71 (define @t225 () (tptp.apply @t127 @t224 @t221)) % 0.52/0.71 (define @t226 () (not @t225)) % 0.52/0.71 (define @t227 () (tptp.apply @t135 @t224 @t222)) % 0.52/0.71 (define @t228 () (not @t227)) % 0.52/0.71 (define @t229 () (tptp.member @t221 @t113)) % 0.52/0.71 (define @t230 () (not @t229)) % 0.52/0.71 (define @t231 () (tptp.member @t222 @t113)) % 0.52/0.71 (define @t232 () (not @t231)) % 0.52/0.71 (define @t233 () (tptp.member @t224 @t108)) % 0.52/0.71 (define @t234 () (not @t233)) % 0.52/0.71 (define @t235 () (tptp.member @t224 @t109)) % 0.52/0.71 (define @t236 () (not @t235)) % 0.52/0.71 (define @t237 () (or @t236 @t234 @t232 @t230 @t228 @t226 @t223)) % 0.52/0.71 (define @t238 () (not @t237)) % 0.52/0.71 (define @t239 () (not @t163)) % 0.52/0.71 (define @t240 () (not @t217)) % 0.52/0.71 (define @t241 () (tptp.apply @t111 @t224 @t222)) % 0.52/0.71 (define @t242 () (not @t241)) % 0.52/0.71 (define @t243 () (tptp.apply @t111 @t224 @t221)) % 0.52/0.71 (define @t244 () (not @t243)) % 0.52/0.71 (define @t245 () (tptp.member @t224 @t110)) % 0.52/0.71 (define @t246 () (not @t245)) % 0.52/0.71 (define @t247 () (or @t246 @t230 @t232 @t244 @t242 (= @t221 @t222))) % 0.52/0.71 (define @t248 () (or @t235 @t233)) % 0.52/0.71 (define @t249 () (and @t235 @t227)) % 0.52/0.71 (define @t250 () (and @t233 @t225)) % 0.52/0.71 (define @t251 () (= @t245 @t248)) % 0.52/0.71 (define @t252 () (or @t249 (and @t233 (tptp.apply @t127 @t224 @t222)))) % 0.52/0.71 (define @t253 () (or (and @t235 (tptp.apply @t135 @t224 @t221)) @t250)) % 0.52/0.71 (define @t254 () (= @t241 @t252)) % 0.52/0.71 (define @t255 () (or @t246 @t232 @t254)) % 0.52/0.71 (define @t256 () (= @t243 @t253)) % 0.52/0.71 (define @t257 () (or @t246 @t230 @t256)) % 0.52/0.71 (define @t258 () (or @t246 @t230 @t232 @t244 @t242 @t223)) % 0.52/0.71 (define @t259 () (@list true false)) % 0.52/0.71 (define @t260 () (not @t216)) % 0.52/0.71 (define @t261 () (@quantifiers_skolemize @t216 2)) % 0.52/0.71 (define @t262 () (@quantifiers_skolemize @t216 1)) % 0.52/0.71 (define @t263 () (= @t262 @t261)) % 0.52/0.71 (define @t264 () (@quantifiers_skolemize @t216 0)) % 0.52/0.71 (define @t265 () (tptp.apply @t111 @t264 @t261)) % 0.52/0.71 (define @t266 () (not @t265)) % 0.52/0.71 (define @t267 () (tptp.apply @t111 @t264 @t262)) % 0.52/0.71 (define @t268 () (not @t267)) % 0.52/0.71 (define @t269 () (tptp.member @t261 @t113)) % 0.52/0.71 (define @t270 () (not @t269)) % 0.52/0.71 (define @t271 () (tptp.member @t262 @t113)) % 0.52/0.71 (define @t272 () (not @t271)) % 0.52/0.71 (define @t273 () (tptp.member @t264 @t110)) % 0.52/0.71 (define @t274 () (not @t273)) % 0.52/0.71 (define @t275 () (or @t274 @t272 @t270 @t268 @t266 @t263)) % 0.52/0.71 (define @t276 () (not @t275)) % 0.52/0.71 (define @t277 () (@list @t275)) % 0.52/0.71 (define @t278 () (tptp.member @t264 @t108)) % 0.52/0.71 (define @t279 () (tptp.member @t264 @t109)) % 0.52/0.71 (define @t280 () (or @t279 @t278)) % 0.52/0.71 (define @t281 () (= @t273 @t280)) % 0.52/0.71 (define @t282 () (not @t281)) % 0.52/0.71 (define @t283 () (tptp.apply @t127 @t264 @t262)) % 0.52/0.71 (define @t284 () (not @t283)) % 0.52/0.71 (define @t285 () (tptp.apply @t135 @t264 @t261)) % 0.52/0.71 (define @t286 () (not @t285)) % 0.52/0.71 (define @t287 () (not @t278)) % 0.52/0.71 (define @t288 () (not @t279)) % 0.52/0.71 (define @t289 () (= @t261 @t262)) % 0.52/0.71 (define @t290 () (or @t288 @t287 @t270 @t272 @t286 @t284 @t289)) % 0.52/0.71 (define @t291 () (@list @t264 @t261 @t262)) % 0.52/0.71 (define @t292 () (or @t288 @t287 @t270 @t272 @t286 @t284 @t263)) % 0.52/0.71 (define @t293 () (and @t278 @t283)) % 0.52/0.71 (define @t294 () (tptp.apply @t135 @t264 @t262)) % 0.52/0.71 (define @t295 () (and @t279 @t294)) % 0.52/0.71 (define @t296 () (or @t295 @t293)) % 0.52/0.71 (define @t297 () (= @t267 @t296)) % 0.52/0.71 (define @t298 () (or @t274 @t272 @t297)) % 0.52/0.71 (define @t299 () (@list false false false)) % 0.52/0.71 (define @t300 () (and @t279 @t285)) % 0.52/0.71 (define @t301 () (not @t300)) % 0.52/0.71 (define @t302 () (not @t294)) % 0.52/0.71 (define @t303 () (or @t288 @t270 @t272 @t286 @t302 @t289)) % 0.52/0.71 (define @t304 () (or @t288 @t270 @t272 @t286 @t302 @t263)) % 0.52/0.71 (define @t305 () (not @t292)) % 0.52/0.71 (define @t306 () (not @t295)) % 0.52/0.71 (define @t307 () (not @t293)) % 0.52/0.71 (define @t308 () (not @t296)) % 0.52/0.71 (define @t309 () (not @t173)) % 0.52/0.71 (define @t310 () (not @t107)) % 0.52/0.71 (define @t311 () (@list @t264 @t261)) % 0.52/0.71 (define @t312 () (tptp.apply @t127 @t264 @t261)) % 0.52/0.71 (define @t313 () (and @t278 @t312)) % 0.52/0.71 (define @t314 () (or @t300 @t313)) % 0.52/0.71 (define @t315 () (= @t265 @t314)) % 0.52/0.71 (define @t316 () (or @t274 @t270 @t315)) % 0.52/0.71 (define @t317 () (not @t280)) % 0.52/0.71 (define @t318 () (not @t312)) % 0.52/0.71 (define @t319 () (or @t288 @t287 @t272 @t270 @t302 @t318 @t263)) % 0.52/0.71 (define @t320 () (not @t313)) % 0.52/0.71 (define @t321 () (or @t287 @t270 @t272 @t318 @t284 @t289)) % 0.52/0.71 (define @t322 () (or @t287 @t270 @t272 @t318 @t284 @t263)) % 0.52/0.71 (define @t323 () (@list @t279)) % 0.52/0.71 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 0.52/0.71 (assume @p2 (forall @t8 (= (tptp.equal_set @t4 @t1) (and @t7 (tptp.subset @t1 @t4))))) % 0.52/0.71 (assume @p3 (forall @t9 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.52/0.71 (assume @p4 (forall @t10 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.52/0.71 (assume @p5 @t11) % 0.52/0.71 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.52/0.71 (assume @p7 (forall (@list @t1 @t4 @t12) (= (tptp.member @t1 (tptp.difference @t12 @t4)) (and (tptp.member @t1 @t12) (not (tptp.member @t1 @t4)))))) % 0.52/0.71 (assume @p8 (forall @t9 (= (tptp.member @t2 (tptp.singleton @t4)) @t13))) % 0.52/0.71 (assume @p9 (forall @t10 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t13 (= @t2 @t1))))) % 0.52/0.71 (assume @p10 (forall @t9 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t17 (and @t16 @t15))))) % 0.52/0.71 (assume @p11 (forall @t9 (= (tptp.member @t2 (tptp.product @t4)) (forall @t17 (=> @t16 @t15))))) % 0.52/0.71 (assume @p12 @t41) % 0.52/0.71 (assume @p13 (forall (@list @t45 @t43 @t21 @t4 @t1 @t46) (= (tptp.compose_predicate @t45 @t43 @t21 @t4 @t1 @t46) (forall (@list @t2 @t42) (=> @t47 (= (tptp.apply @t45 @t2 @t42) @t44)))))) % 0.52/0.71 (assume @p14 (forall (@list @t43 @t21 @t4 @t1 @t46 @t2 @t42) (=> @t47 (= (tptp.apply (tptp.compose_function @t43 @t21 @t4 @t1 @t46) @t2 @t42) @t44)))) % 0.52/0.71 (assume @p15 (forall (@list @t21 @t43 @t4 @t1) (= (tptp.equal_maps @t21 @t43 @t4 @t1) (forall @t29 (=> @t28 (=> (and @t23 (tptp.apply @t43 @t2 @t18)) @t20)))))) % 0.52/0.71 (assume @p16 (forall (@list @t21 @t4) (= (tptp.identity @t21 @t4) (forall @t6 (=> @t5 (tptp.apply @t21 @t2 @t2)))))) % 0.52/0.71 (assume @p17 (forall @t40 (= @t52 (forall (@list @t49 @t48 @t14) (=> (and @t51 @t50 @t32) (=> (and (tptp.apply @t21 @t49 @t14) (tptp.apply @t21 @t48 @t14)) (= @t49 @t48))))))) % 0.52/0.71 (assume @p18 (forall @t40 (= @t53 (forall @t17 (=> @t32 (exists (@list @t12) (and (tptp.member @t12 @t4) (tptp.apply @t21 @t12 @t14)))))))) % 0.52/0.71 (assume @p19 (forall @t40 (= @t54 (and @t52 @t53)))) % 0.52/0.71 (assume @p20 (forall (@list @t43 @t21 @t4 @t1) (= (tptp.inverse_predicate @t43 @t21 @t4 @t1) (forall @t56 (=> @t55 (= @t31 (tptp.apply @t43 @t14 @t2))))))) % 0.52/0.71 (assume @p21 (forall (@list @t21 @t4 @t1 @t2 @t14) (=> @t55 (= @t31 (tptp.apply (tptp.inverse_function @t21 @t4 @t1) @t14 @t2))))) % 0.52/0.71 (assume @p22 (forall (@list @t21 @t4 @t14) (= (tptp.member @t14 (tptp.image2 @t21 @t4)) @t57))) % 0.52/0.71 (assume @p23 (forall (@list @t21 @t4 @t1 @t14) (= (tptp.member @t14 (tptp.image3 @t21 @t4 @t1)) (and @t32 @t57)))) % 0.52/0.71 (assume @p24 (forall (@list @t21 @t1 @t2) (= (tptp.member @t2 (tptp.inverse_image2 @t21 @t1)) @t34))) % 0.52/0.71 (assume @p25 (forall (@list @t21 @t1 @t4 @t2) (= (tptp.member @t2 (tptp.inverse_image3 @t21 @t1 @t4)) (and @t5 @t34)))) % 0.52/0.71 (assume @p26 (forall @t66 (= (tptp.increasing @t21 @t4 @t62 @t1 @t58) (forall @t65 (=> @t64 @t59))))) % 0.52/0.71 (assume @p27 (forall @t66 (= (tptp.decreasing @t21 @t4 @t62 @t1 @t58) (forall @t65 (=> @t64 (tptp.apply @t58 @t18 @t19)))))) % 0.52/0.71 (assume @p28 (forall @t66 (= (tptp.isomorphism @t21 @t4 @t62 @t1 @t58) (and @t38 @t54 (forall @t65 (=> (and @t51 @t27 @t50 @t26 @t61 @t60) (= @t63 @t59))))))) % 0.52/0.71 (assume @p29 @t90) % 0.52/0.71 (assume @p30 true) % 0.52/0.71 (step @p31 :rule bool-double-not-elim :args (@t118)) % 0.52/0.71 (step @p32 :rule refl :args (@t122)) % 0.52/0.71 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or @t122 (not @t121)))) % 0.52/0.71 (step @p34 :rule cnf_or_neg :args (@t122 0)) % 0.52/0.71 (step @p35 :rule eq_resolve :premises (@p34 @p33)) % 0.52/0.71 (step @p36 :rule reordering :premises (@p35) :args ((or @t118 @t122))) % 0.52/0.71 (step @p37 :rule bool-double-not-elim :args (@t119)) % 0.52/0.71 (step @p38 :rule nary_cong :premises (@p32 @p37) :args ((or @t122 (not @t120)))) % 0.52/0.71 (step @p39 :rule cnf_or_neg :args (@t122 1)) % 0.52/0.71 (step @p40 :rule eq_resolve :premises (@p39 @p38)) % 0.52/0.71 (step @p41 :rule reordering :premises (@p40) :args ((or @t119 @t122))) % 0.52/0.71 (step @p42 :rule instantiate :premises (@p5) :args ((@list @t117 @t109 @t108))) % 0.52/0.71 (step @p43 :rule cnf_equiv_pos1 :args (@t126)) % 0.52/0.71 (step @p44 :rule reordering :premises (@p43) :args ((or @t121 @t125 (not @t126)))) % 0.52/0.71 (assume-push @p530 @t119) % 0.52/0.71 (step @p46 :rule instantiate :premises (@p530) :args ((@list @t129))) % 0.52/0.71 (step-pop @p531 :rule scope :premises (@p46)) % 0.52/0.71 (step @p47 :rule process_scope :premises (@p531) :args (@t134)) % 0.52/0.71 (step @p49 :rule implies_elim :premises (@p47)) % 0.52/0.71 (assume-push @p532 @t119) % 0.52/0.71 (step @p51 :rule instantiate :premises (@p532) :args ((@list @t137))) % 0.52/0.71 (step-pop @p533 :rule scope :premises (@p51)) % 0.52/0.71 (step @p52 :rule process_scope :premises (@p533) :args (@t142)) % 0.52/0.71 (step @p54 :rule implies_elim :premises (@p52)) % 0.52/0.71 (step @p55 :rule aci_norm :args ((= (or @t147 @t146) (or @t145 @t94 @t93 @t144 @t143 @t20)))) % 0.52/0.71 (step @p56 :rule aci_norm :args ((= (or (or @t144 @t143) @t20) @t146))) % 0.52/0.71 (step @p57 :rule refl :args (@t20)) % 0.52/0.71 (step @p58 :rule bool-and-de-morgan :args (@t23 @t22 true)) % 0.52/0.71 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or (not @t24) @t20))) % 0.52/0.71 (step @p60 :rule trans :premises (@p59 @p56)) % 0.52/0.71 (step @p61 :rule bool-impl-elim :args (@t24 @t20)) % 0.52/0.71 (step @p62 :rule trans :premises (@p61 @p60)) % 0.52/0.71 (step @p63 :rule aci_norm :args ((= (or @t145 (or @t94 @t93)) @t147))) % 0.52/0.71 (step @p64 :rule bool-and-de-morgan :args (@t27 @t26 true)) % 0.52/0.71 (step @p65 :rule refl :args (@t145)) % 0.52/0.71 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or @t145 (not (and @t27 @t26))))) % 0.52/0.71 (step @p67 :rule bool-and-de-morgan :args (@t5 @t27 (and @t26))) % 0.52/0.71 (step @p68 :rule trans :premises (@p67 @p66)) % 0.52/0.71 (step @p69 :rule trans :premises (@p68 @p63)) % 0.52/0.71 (step @p70 :rule nary_cong :premises (@p69 @p62) :args ((or (not @t28) @t25))) % 0.52/0.71 (step @p71 :rule trans :premises (@p70 @p55)) % 0.52/0.71 (step @p72 :rule bool-impl-elim :args (@t28 @t25)) % 0.52/0.71 (step @p73 :rule trans :premises (@p72 @p71)) % 0.52/0.71 (step @p74 :rule cong :premises (@p73) :args (@t30)) % 0.52/0.71 (step @p75 :rule bool-impl-elim :args (@t5 @t148)) % 0.52/0.71 (step @p76 :rule cong :premises (@p75) :args ((forall @t6 (=> @t5 @t148)))) % 0.52/0.71 (step @p77 :rule bool-and-de-morgan :args (@t32 @t31 true)) % 0.52/0.71 (step @p78 :rule cong :premises (@p77) :args (@t149)) % 0.52/0.71 (step @p79 :rule cong :premises (@p78) :args (@t150)) % 0.52/0.71 (step @p80 :rule exists-elim :args ((= @t34 @t150))) % 0.52/0.71 (step @p81 :rule trans :premises (@p80 @p79)) % 0.52/0.71 (step @p82 :rule refl :args (@t5)) % 0.52/0.71 (step @p83 :rule cong :premises (@p82 @p81) :args (@t35)) % 0.52/0.71 (step @p84 :rule cong :premises (@p83) :args (@t36)) % 0.52/0.71 (step @p85 :rule trans :premises (@p84 @p76)) % 0.52/0.71 (step @p86 :rule nary_cong :premises (@p85 @p74) :args (@t37)) % 0.52/0.71 (step @p87 :rule refl :args (@t38)) % 0.52/0.71 (step @p88 :rule cong :premises (@p87 @p86) :args (@t39)) % 0.52/0.71 (step @p89 :rule cong :premises (@p88) :args (@t41)) % 0.52/0.71 (step @p90 :rule eq_resolve :premises (@p12 @p89)) % 0.52/0.71 (step @p91 :rule instantiate :premises (@p90) :args ((@list @t135 @t109 @t113))) % 0.52/0.71 (step @p92 :rule aci_norm :args ((= (or @t151 @t98) @t106))) % 0.52/0.71 (step @p93 :rule refl :args (@t98)) % 0.52/0.71 (step @p94 :rule aci_norm :args ((= (or @t105 (or @t104 @t103)) @t151))) % 0.52/0.71 (step @p95 :rule bool-and-de-morgan :args (@t84 @t102 true)) % 0.52/0.71 (step @p96 :rule refl :args (@t105)) % 0.52/0.71 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or @t105 (not (and @t84 @t102))))) % 0.52/0.71 (step @p98 :rule bool-and-de-morgan :args (@t85 @t84 (and @t102))) % 0.52/0.71 (step @p99 :rule trans :premises (@p98 @p97)) % 0.52/0.71 (step 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:args (@t94)) % 0.52/0.71 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or @t94 (not (and @t26 @t70 @t68))))) % 0.52/0.71 (step @p115 :rule bool-and-de-morgan :args (@t27 @t26 (and @t70 @t68))) % 0.52/0.71 (step @p116 :rule trans :premises (@p115 @p114)) % 0.52/0.71 (step @p117 :rule refl :args (@t95)) % 0.52/0.71 (step @p118 :rule nary_cong :premises (@p117 @p116) :args ((or @t95 (not (and @t27 @t26 @t70 @t68))))) % 0.52/0.71 (step @p119 :rule bool-and-de-morgan :args (@t72 @t27 (and @t26 @t70 @t68))) % 0.52/0.71 (step @p120 :rule trans :premises (@p119 @p118)) % 0.52/0.71 (step @p121 :rule refl :args (@t96)) % 0.52/0.71 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or @t96 (not (and @t72 @t27 @t26 @t70 @t68))))) % 0.52/0.71 (step @p123 :rule bool-and-de-morgan :args (@t74 @t72 (and @t27 @t26 @t70 @t68))) % 0.52/0.71 (step @p124 :rule trans :premises (@p123 @p122)) % 0.52/0.71 (step @p125 :rule trans :premises (@p124 @p107)) % 0.52/0.71 (step @p126 :rule 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% 0.52/0.71 (step @p340 :rule instantiate :premises (@p191) :args ((@list @t224 @t221))) % 0.52/0.71 (step @p341 :rule cnf_or_pos :args (@t257)) % 0.52/0.71 (step @p342 :rule reordering :premises (@p341) :args ((or @t230 @t246 @t256 (not @t257)))) % 0.52/0.71 (step @p343 :rule cnf_equiv_pos2 :args (@t254)) % 0.52/0.71 (step @p344 :rule reordering :premises (@p343) :args ((or @t241 (not @t252) (not @t254)))) % 0.52/0.71 (step @p345 :rule cnf_equiv_pos2 :args (@t256)) % 0.52/0.71 (step @p346 :rule reordering :premises (@p345) :args ((or @t243 (not @t253) (not @t256)))) % 0.52/0.71 (step @p347 :rule cnf_or_pos :args (@t258)) % 0.52/0.71 (step @p348 :rule reordering :premises (@p347) :args ((or @t232 @t230 @t223 @t246 @t242 @t244 (not @t258)))) % 0.52/0.71 (step @p349 :rule chain_m_resolution :premises (@p348 @p346 @p344 @p342 @p340 @p339 @p337 @p336 @p335 @p334 @p332 @p331 @p329 @p327 @p325 @p310 @p309 @p304 @p299 @p294 @p289 @p284 @p278 @p276 @p267 @p262 @p265 @p264) :args (@t220 (@list 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0.52/0.71 (assume-push @p544 @t260) % 0.52/0.71 (step @p359 :rule skolemize :premises (@p544)) % 0.52/0.71 (step-pop @p545 :rule scope :premises (@p359)) % 0.52/0.71 (step @p360 :rule process_scope :premises (@p545) :args (@t276)) % 0.52/0.71 (step @p362 :rule implies_elim :premises (@p360)) % 0.52/0.71 (step @p363 :rule eq_resolve :premises (@p362 @p357)) % 0.52/0.71 (step @p364 :rule chain_m_resolution :premises (@p363 @p354) :args (@t276 @t174 (@list @t216))) % 0.52/0.71 (step @p365 :rule bool-double-not-elim :args (@t271)) % 0.52/0.71 (step @p366 :rule refl :args (@t275)) % 0.52/0.71 (step @p367 :rule nary_cong :premises (@p366 @p365) :args ((or @t275 (not @t272)))) % 0.52/0.71 (step @p368 :rule cnf_or_neg :args (@t275 1)) % 0.52/0.71 (step @p369 :rule eq_resolve :premises (@p368 @p367)) % 0.52/0.71 (step @p370 :rule reordering :premises (@p369) :args ((or @t271 @t275))) % 0.52/0.71 (step @p371 :rule chain_m_resolution :premises (@p370 @p364) :args (@t271 @t174 @t277)) % 0.52/0.71 (step @p372 :rule bool-double-not-elim :args (@t269)) % 0.52/0.71 (step @p373 :rule nary_cong :premises (@p366 @p372) :args ((or @t275 (not @t270)))) % 0.52/0.71 (step @p374 :rule cnf_or_neg :args (@t275 2)) % 0.52/0.71 (step @p375 :rule eq_resolve :premises (@p374 @p373)) % 0.52/0.71 (step @p376 :rule reordering :premises (@p375) :args ((or @t269 @t275))) % 0.52/0.71 (step @p377 :rule chain_m_resolution :premises (@p376 @p364) :args (@t269 @t174 @t277)) % 0.52/0.71 (step @p378 :rule cnf_or_neg :args (@t275 5)) % 0.52/0.71 (step @p379 :rule chain_m_resolution :premises (@p378 @p364) :args ((not @t263) @t174 @t277)) % 0.52/0.71 (step @p380 :rule instantiate :premises (@p5) :args ((@list @t264 @t109 @t108))) % 0.52/0.71 (step @p381 :rule bool-double-not-elim :args (@t273)) % 0.52/0.71 (step @p382 :rule nary_cong :premises (@p366 @p381) :args ((or @t275 (not @t274)))) % 0.52/0.71 (step @p383 :rule cnf_or_neg :args (@t275 0)) % 0.52/0.71 (step @p384 :rule eq_resolve :premises (@p383 @p382)) % 0.52/0.71 (step @p385 :rule reordering :premises (@p384) :args ((or @t273 @t275))) % 0.52/0.71 (step @p386 :rule chain_m_resolution :premises (@p385 @p364) :args (@t273 @t174 @t277)) % 0.52/0.71 (step @p387 :rule cnf_equiv_pos1 :args (@t281)) % 0.52/0.71 (step @p388 :rule reordering :premises (@p387) :args ((or @t274 @t280 @t282))) % 0.52/0.71 (step @p389 :rule chain_m_resolution :premises (@p388 @p386 @p380) :args (@t280 @t180 (@list @t273 @t281))) % 0.52/0.71 (step @p390 :rule cnf_equiv_neg1 :args (@t165)) % 0.52/0.71 (step @p391 :rule reordering :premises (@p390) :args ((or @t164 @t163 @t165))) % 0.52/0.71 (step @p392 :rule chain_m_resolution :premises (@p391 @p349 @p264) :args (@t163 (@list true true) (@list @t164 @t165))) % 0.52/0.71 (step @p393 :rule eq-symm :args (@t261 @t262)) % 0.52/0.71 (step @p394 :rule refl :args (@t284)) % 0.52/0.71 (step @p395 :rule refl :args (@t286)) % 0.52/0.71 (step @p396 :rule refl :args (@t272)) % 0.52/0.71 (step @p397 :rule refl :args 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@p412 :rule reordering :premises (@p411) :args ((or @t274 @t272 @t297 (not @t298)))) % 0.52/0.71 (step @p413 :rule chain_m_resolution :premises (@p412 @p386 @p371 @p410) :args (@t297 @t299 (@list @t273 @t271 @t298))) % 0.52/0.71 (step @p414 :rule bool-double-not-elim :args (@t267)) % 0.52/0.71 (step @p415 :rule nary_cong :premises (@p366 @p414) :args ((or @t275 (not @t268)))) % 0.52/0.71 (step @p416 :rule cnf_or_neg :args (@t275 3)) % 0.52/0.71 (step @p417 :rule eq_resolve :premises (@p416 @p415)) % 0.52/0.71 (step @p418 :rule reordering :premises (@p417) :args ((or @t267 @t275))) % 0.52/0.71 (step @p419 :rule chain_m_resolution :premises (@p418 @p364) :args (@t267 @t174 @t277)) % 0.52/0.71 (step @p420 :rule cnf_equiv_pos1 :args (@t297)) % 0.52/0.71 (step @p421 :rule reordering :premises (@p420) :args ((or @t268 @t296 (not @t297)))) % 0.52/0.71 (step @p422 :rule chain_m_resolution :premises (@p421 @p419 @p413) :args (@t296 @t180 (@list @t267 @t297))) % 0.52/0.71 (step @p423 :rule cnf_and_pos :args (@t300 0)) % 0.52/0.71 (step @p424 :rule reordering :premises (@p423) :args ((or @t279 @t301))) % 0.52/0.71 (step @p425 :rule cnf_and_pos :args (@t300 1)) % 0.52/0.71 (step @p426 :rule reordering :premises (@p425) :args ((or @t285 @t301))) % 0.52/0.71 (step @p427 :rule cnf_and_pos :args (@t178 1)) % 0.52/0.71 (step @p428 :rule reordering :premises (@p427) :args ((or @t176 @t181))) % 0.52/0.71 (step @p429 :rule chain_m_resolution :premises (@p428 @p159) :args (@t176 @t182 @t183)) % 0.52/0.71 (step @p430 :rule refl :args (@t302)) % 0.52/0.71 (step @p431 :rule nary_cong :premises (@p399 @p397 @p396 @p395 @p430 @p393) :args (@t303)) % 0.52/0.71 (step @p432 :rule refl :args (@t176)) % 0.52/0.71 (step @p433 :rule cong :premises (@p432 @p431) :args ((=> @t176 @t303))) % 0.52/0.71 (assume-push @p548 @t176) % 0.52/0.71 (step @p435 :rule instantiate :premises (@p429) :args (@t291)) % 0.52/0.71 (step-pop @p549 :rule scope :premises (@p435)) % 0.52/0.71 (step @p436 :rule process_scope :premises (@p549) :args (@t303)) % 0.52/0.71 (step @p438 :rule eq_resolve :premises (@p436 @p433)) % 0.52/0.71 (step @p439 :rule implies_elim :premises (@p438)) % 0.52/0.71 (step @p440 :rule chain_m_resolution :premises (@p439 @p429) :args (@t304 @t182 (@list @t176))) % 0.52/0.71 (step @p441 :rule cnf_or_pos :args (@t304)) % 0.52/0.71 (step @p442 :rule reordering :premises (@p441) :args ((or @t272 @t270 @t263 @t288 @t302 @t286 (not @t304)))) % 0.52/0.71 (step @p443 :rule cnf_or_pos :args (@t292)) % 0.52/0.71 (step @p444 :rule reordering :premises (@p443) :args ((or @t272 @t270 @t263 @t288 @t287 @t284 @t286 @t305))) % 0.52/0.71 (step @p445 :rule cnf_and_pos :args (@t295 1)) % 0.52/0.71 (step @p446 :rule reordering :premises (@p445) :args ((or @t294 @t306))) % 0.52/0.71 (step @p447 :rule cnf_and_pos :args (@t293 1)) % 0.52/0.71 (step @p448 :rule reordering :premises (@p447) :args ((or @t283 @t307))) % 0.52/0.71 (step @p449 :rule cnf_or_pos :args (@t296)) % 0.52/0.71 (step @p450 :rule reordering :premises (@p449) :args ((or @t295 @t293 @t308))) % 0.52/0.71 (step @p451 :rule chain_m_resolution :premises (@p450 @p448 @p446 @p444 @p442 @p440 @p426 @p424) :args ((or @t272 @t270 @t263 @t287 @t308 @t301 @t305) (@list true true true true false false false) (@list @t293 @t295 @t283 @t294 @t304 @t285 @t279))) % 0.52/0.71 (step @p452 :rule refl :args (@t309)) % 0.52/0.71 (step @p453 :rule bool-double-not-elim :args (@t107)) % 0.52/0.71 (step @p454 :rule nary_cong :premises (@p453 @p452) :args ((or (not @t310) @t309))) % 0.52/0.71 (assume-push @p550 @t310) % 0.52/0.71 (step-pop @p551 :rule scope :premises (@p149)) % 0.52/0.71 (step @p456 :rule process_scope :premises (@p551) :args (@t309)) % 0.52/0.71 (step @p458 :rule implies_elim :premises (@p456)) % 0.52/0.71 (step @p459 :rule eq_resolve :premises (@p458 @p454)) % 0.52/0.71 (assume-push @p552 @t168) % 0.52/0.71 (step @p461 :rule instantiate :premises (@p191) :args (@t311)) % 0.52/0.71 (step-pop @p553 :rule scope :premises (@p461)) % 0.52/0.71 (step @p462 :rule process_scope :premises (@p553) :args (@t316)) % 0.52/0.71 (step @p464 :rule implies_elim :premises (@p462)) % 0.52/0.71 (step @p465 :rule cnf_or_neg :args (@t280 0)) % 0.52/0.71 (assume-push @p554 @t11) % 0.52/0.71 (step-pop @p555 :rule scope :premises (@p380)) % 0.52/0.71 (step @p467 :rule process_scope :premises (@p555) :args (@t281)) % 0.52/0.71 (step @p469 :rule implies_elim :premises (@p467)) % 0.52/0.71 (step @p470 :rule cnf_equiv_pos2 :args (@t281)) % 0.52/0.71 (step @p471 :rule reordering :premises (@p470) :args ((or @t273 @t317 @t282))) % 0.52/0.71 (step @p472 :rule cnf_or_pos :args (@t316)) % 0.52/0.71 (step @p473 :rule reordering :premises (@p472) :args ((or @t274 @t270 @t315 (not @t316)))) % 0.52/0.71 (step @p474 :rule bool-double-not-elim :args (@t265)) % 0.52/0.71 (step @p475 :rule nary_cong :premises (@p366 @p474) :args ((or @t275 (not @t266)))) % 0.52/0.71 (step @p476 :rule cnf_or_neg :args (@t275 4)) % 0.52/0.71 (step @p477 :rule eq_resolve :premises (@p476 @p475)) % 0.52/0.71 (step @p478 :rule reordering :premises (@p477) :args ((or @t265 @t275))) % 0.52/0.71 (step @p479 :rule cnf_equiv_pos1 :args (@t315)) % 0.52/0.71 (step @p480 :rule reordering :premises (@p479) :args ((or @t266 @t314 (not @t315)))) % 0.52/0.71 (assume-push @p556 @t163) % 0.52/0.71 (step @p482 :rule instantiate :premises (@p556) :args ((@list @t264 @t262 @t261))) % 0.52/0.71 (step-pop @p557 :rule scope :premises (@p482)) % 0.52/0.71 (step @p483 :rule process_scope :premises (@p557) :args (@t319)) % 0.52/0.71 (step @p485 :rule implies_elim :premises (@p483)) % 0.52/0.71 (step @p486 :rule cnf_or_pos :args (@t314)) % 0.52/0.71 (step @p487 :rule reordering :premises (@p486) :args ((or @t300 @t313 (not @t314)))) % 0.52/0.71 (step @p488 :rule cnf_or_pos :args (@t319)) % 0.52/0.71 (step @p489 :rule reordering :premises (@p488) :args ((or @t272 @t270 @t263 @t288 @t287 @t302 @t318 (not @t319)))) % 0.52/0.71 (step @p490 :rule cnf_and_pos :args (@t313 1)) % 0.52/0.71 (step @p491 :rule reordering :premises (@p490) :args ((or @t312 @t320))) % 0.52/0.71 (step @p492 :rule chain_m_resolution :premises (@p491 @p489 @p487 @p485 @p480 @p391 @p264 @p478 @p267 @p262 @p363 @p278 @p473 @p471 @p469 @p5 @p465 @p464 @p190 @p459 @p148) :args ((or @t216 @t272 @t270 @t263 @t300 @t288 @t287 @t302) (@list true false false false false true false true false true true false false false false false false false true true) (@list @t312 @t313 @t319 @t314 @t163 @t165 @t265 @t164 @t218 @t275 @t217 @t315 @t273 @t281 @t11 @t280 @t316 @t168 @t173 @t107))) % 0.52/0.71 (step @p461 :rule instantiate :premises (@p191) :args (@t311)) % 0.52/0.71 (step @p493 :rule chain_m_resolution :premises (@p473 @p386 @p377 @p461) :args (@t315 @t299 (@list @t273 @t269 @t316))) % 0.52/0.71 (step @p494 :rule chain_m_resolution :premises (@p478 @p364) :args (@t265 @t174 @t277)) % 0.52/0.71 (step @p495 :rule chain_m_resolution :premises (@p480 @p494 @p493) :args (@t314 @t180 (@list @t265 @t315))) % 0.52/0.71 (step @p496 :rule cnf_and_pos :args (@t199 1)) % 0.52/0.71 (step @p497 :rule reordering :premises (@p496) :args ((or @t197 @t201))) % 0.52/0.71 (step @p498 :rule chain_m_resolution :premises (@p497 @p214) :args (@t197 @t182 @t202)) % 0.52/0.71 (step @p499 :rule refl :args (@t318)) % 0.52/0.71 (step @p500 :rule nary_cong :premises (@p398 @p397 @p396 @p499 @p394 @p393) :args (@t321)) % 0.52/0.71 (step @p501 :rule refl :args (@t197)) % 0.52/0.71 (step @p502 :rule cong :premises (@p501 @p500) :args ((=> @t197 @t321))) % 0.52/0.71 (assume-push @p558 @t197) % 0.52/0.71 (step @p504 :rule instantiate :premises (@p498) :args (@t291)) % 0.52/0.71 (step-pop @p559 :rule scope :premises (@p504)) % 0.52/0.71 (step @p505 :rule process_scope :premises (@p559) :args (@t321)) % 0.52/0.71 (step @p507 :rule eq_resolve :premises (@p505 @p502)) % 0.52/0.71 (step @p508 :rule implies_elim :premises (@p507)) % 0.52/0.71 (step @p509 :rule chain_m_resolution :premises (@p508 @p498) :args (@t322 @t182 (@list @t197))) % 0.52/0.71 (step @p510 :rule cnf_or_pos :args (@t322)) % 0.52/0.71 (step @p511 :rule reordering :premises (@p510) :args ((or @t272 @t270 @t263 @t287 @t284 @t318 (not @t322)))) % 0.52/0.71 (step @p512 :rule chain_m_resolution :premises (@p448 @p511 @p509 @p379 @p377 @p371 @p450 @p422 @p491 @p446 @p487 @p495 @p492 @p354 @p379 @p377 @p371 @p451 @p371 @p422 @p409 @p379 @p377) :args ((or @t288 @t287) (@list true false true false false false false false true false false true true true false false true false false false true false) (@list @t283 @t322 @t263 @t269 @t271 @t293 @t296 @t312 @t295 @t313 @t314 @t294 @t216 @t263 @t269 @t271 @t300 @t271 @t296 @t292 @t263 @t269))) % 0.52/0.71 (step @p513 :rule cnf_and_pos :args (@t293 0)) % 0.52/0.71 (step @p514 :rule reordering :premises (@p513) :args ((or @t278 @t307))) % 0.52/0.71 (step @p515 :rule cnf_and_pos :args (@t313 0)) % 0.52/0.71 (step @p516 :rule reordering :premises (@p515) :args ((or @t278 @t320))) % 0.52/0.71 (step @p517 :rule chain_m_resolution :premises (@p442 @p440 @p371 @p379 @p377 @p426 @p446 @p487 @p495 @p450 @p422 @p516 @p514 @p512) :args (@t288 (@list false false true false false false false false false false true true true) (@list @t304 @t271 @t263 @t269 @t285 @t294 @t300 @t314 @t295 @t296 @t313 @t293 @t278))) % 0.52/0.71 (step @p518 :rule cnf_or_pos :args (@t280)) % 0.52/0.71 (step @p519 :rule reordering :premises (@p518) :args ((or @t279 @t278 @t317))) % 0.52/0.71 (step @p520 :rule chain_m_resolution :premises (@p519 @p517 @p389) :args (@t278 @t259 (@list @t279 @t280))) % 0.52/0.71 (step @p521 :rule cnf_and_pos :args (@t295 0)) % 0.52/0.71 (step @p522 :rule reordering :premises (@p521) :args ((or @t279 @t306))) % 0.52/0.71 (step @p523 :rule chain_m_resolution :premises (@p522 @p517) :args (@t306 @t174 @t323)) % 0.52/0.71 (step @p524 :rule chain_m_resolution :premises (@p450 @p523 @p422) :args (@t293 @t259 (@list @t295 @t296))) % 0.52/0.71 (step @p525 :rule chain_m_resolution :premises (@p448 @p524) :args (@t283 @t182 (@list @t293))) % 0.52/0.71 (step @p526 :rule chain_m_resolution :premises (@p424 @p517) :args (@t301 @t174 @t323)) % 0.52/0.71 (step @p527 :rule chain_m_resolution :premises (@p487 @p526 @p495) :args (@t313 @t259 (@list @t300 @t314))) % 0.52/0.71 (step @p528 :rule chain_m_resolution :premises (@p491 @p527) :args (@t312 @t182 (@list @t313))) % 0.52/0.71 (step @p529 false :rule chain_m_resolution :premises (@p511 @p528 @p525 @p509 @p520 @p379 @p377 @p371) :args (false (@list false false false false true false false) (@list @t312 @t283 @t322 @t278 @t263 @t269 @t271))) % 0.52/0.71 ) % 0.52/0.71 % SZS output end Proof % 0.52/0.71 % cvc5 exiting %------------------------------------------------------------------------------