%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET708+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 : n021.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 08:48:29 AM UTC 2026 % Result : Theorem 0.46s 0.63s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET708+4 : TPTP v9.2.1. Bugfixed v2.2.1. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n021.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 16:10:50 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.63 % SZS status Theorem % 0.46/0.63 % SZS output start Proof % 0.46/0.63 ( % 0.46/0.63 (declare-sort $$unsorted 0) % 0.46/0.63 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.inverse_function (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.empty_set $$unsorted) % 0.46/0.63 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.equal_maps (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.one_to_one (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.increasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.surjective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.isomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.compose_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.identity (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.injective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.compose_function (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.inverse_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.inverse_image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.decreasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.inverse_image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (define @t1 () (@var "B" $$unsorted)) % 0.46/0.63 (define @t2 () (@var "X" $$unsorted)) % 0.46/0.63 (define @t3 () (tptp.member @t2 @t1)) % 0.46/0.63 (define @t4 () (@var "A" $$unsorted)) % 0.46/0.63 (define @t5 () (tptp.member @t2 @t4)) % 0.46/0.63 (define @t6 () (@list @t2)) % 0.46/0.63 (define @t7 () (tptp.subset @t4 @t1)) % 0.46/0.63 (define @t8 () (@list @t4 @t1)) % 0.46/0.63 (define @t9 () (@list @t2 @t4)) % 0.46/0.63 (define @t10 () (@list @t2 @t4 @t1)) % 0.46/0.63 (define @t11 () (@var "E" $$unsorted)) % 0.46/0.63 (define @t12 () (= @t2 @t4)) % 0.46/0.63 (define @t13 () (@var "Y" $$unsorted)) % 0.46/0.63 (define @t14 () (tptp.member @t2 @t13)) % 0.46/0.63 (define @t15 () (tptp.member @t13 @t4)) % 0.46/0.63 (define @t16 () (@list @t13)) % 0.46/0.63 (define @t17 () (@var "Y2" $$unsorted)) % 0.46/0.63 (define @t18 () (@var "Y1" $$unsorted)) % 0.46/0.63 (define @t19 () (= @t18 @t17)) % 0.46/0.63 (define @t20 () (@var "F" $$unsorted)) % 0.46/0.63 (define @t21 () (tptp.apply @t20 @t2 @t17)) % 0.46/0.63 (define @t22 () (tptp.apply @t20 @t2 @t18)) % 0.46/0.63 (define @t23 () (and @t22 @t21)) % 0.46/0.63 (define @t24 () (=> @t23 @t19)) % 0.46/0.63 (define @t25 () (tptp.member @t17 @t1)) % 0.46/0.63 (define @t26 () (tptp.member @t18 @t1)) % 0.46/0.63 (define @t27 () (and @t5 @t26 @t25)) % 0.46/0.63 (define @t28 () (@list @t2 @t18 @t17)) % 0.46/0.63 (define @t29 () (forall @t28 (=> @t27 @t24))) % 0.46/0.63 (define @t30 () (tptp.apply @t20 @t2 @t13)) % 0.46/0.63 (define @t31 () (tptp.member @t13 @t1)) % 0.46/0.63 (define @t32 () (and @t31 @t30)) % 0.46/0.63 (define @t33 () (exists @t16 @t32)) % 0.46/0.63 (define @t34 () (=> @t5 @t33)) % 0.46/0.63 (define @t35 () (forall @t6 @t34)) % 0.46/0.63 (define @t36 () (and @t35 @t29)) % 0.46/0.63 (define @t37 () (tptp.maps @t20 @t4 @t1)) % 0.46/0.63 (define @t38 () (= @t37 @t36)) % 0.46/0.63 (define @t39 () (@list @t20 @t4 @t1)) % 0.46/0.63 (define @t40 () (forall @t39 @t38)) % 0.46/0.63 (define @t41 () (@var "Z" $$unsorted)) % 0.46/0.63 (define @t42 () (@var "G" $$unsorted)) % 0.46/0.63 (define @t43 () (tptp.apply @t42 @t13 @t41)) % 0.46/0.63 (define @t44 () (and @t31 @t30 @t43)) % 0.46/0.63 (define @t45 () (exists @t16 @t44)) % 0.46/0.63 (define @t46 () (@var "H" $$unsorted)) % 0.46/0.63 (define @t47 () (tptp.apply @t46 @t2 @t41)) % 0.46/0.63 (define @t48 () (= @t47 @t45)) % 0.46/0.63 (define @t49 () (@var "C" $$unsorted)) % 0.46/0.63 (define @t50 () (tptp.member @t41 @t49)) % 0.46/0.63 (define @t51 () (and @t5 @t50)) % 0.46/0.63 (define @t52 () (=> @t51 @t48)) % 0.46/0.63 (define @t53 () (@list @t2 @t41)) % 0.46/0.63 (define @t54 () (forall @t53 @t52)) % 0.46/0.63 (define @t55 () (tptp.compose_predicate @t46 @t42 @t20 @t4 @t1 @t49)) % 0.46/0.63 (define @t56 () (= @t55 @t54)) % 0.46/0.63 (define @t57 () (@list @t46 @t42 @t20 @t4 @t1 @t49)) % 0.46/0.63 (define @t58 () (forall @t57 @t56)) % 0.46/0.63 (define @t59 () (tptp.apply @t42 @t2 @t17)) % 0.46/0.63 (define @t60 () (and @t22 @t59)) % 0.46/0.63 (define @t61 () (=> @t60 @t19)) % 0.46/0.63 (define @t62 () (forall @t28 (=> @t27 @t61))) % 0.46/0.63 (define @t63 () (tptp.equal_maps @t20 @t42 @t4 @t1)) % 0.46/0.63 (define @t64 () (= @t63 @t62)) % 0.46/0.63 (define @t65 () (forall (@list @t20 @t42 @t4 @t1) @t64)) % 0.46/0.63 (define @t66 () (@var "X2" $$unsorted)) % 0.46/0.63 (define @t67 () (@var "X1" $$unsorted)) % 0.46/0.63 (define @t68 () (tptp.member @t66 @t4)) % 0.46/0.63 (define @t69 () (tptp.member @t67 @t4)) % 0.46/0.63 (define @t70 () (tptp.injective @t20 @t4 @t1)) % 0.46/0.63 (define @t71 () (tptp.surjective @t20 @t4 @t1)) % 0.46/0.63 (define @t72 () (tptp.one_to_one @t20 @t4 @t1)) % 0.46/0.63 (define @t73 () (and @t5 @t31)) % 0.46/0.63 (define @t74 () (exists @t6 (and @t5 @t30))) % 0.46/0.63 (define @t75 () (@var "S" $$unsorted)) % 0.46/0.63 (define @t76 () (tptp.apply @t75 @t18 @t17)) % 0.46/0.63 (define @t77 () (tptp.apply @t20 @t66 @t17)) % 0.46/0.63 (define @t78 () (tptp.apply @t20 @t67 @t18)) % 0.46/0.63 (define @t79 () (@var "R" $$unsorted)) % 0.46/0.63 (define @t80 () (tptp.apply @t79 @t67 @t66)) % 0.46/0.63 (define @t81 () (and @t69 @t26 @t68 @t25 @t80 @t78 @t77)) % 0.46/0.63 (define @t82 () (@list @t67 @t18 @t66 @t17)) % 0.46/0.63 (define @t83 () (@list @t20 @t4 @t79 @t1 @t75)) % 0.46/0.63 (define @t84 () (@var "H2" $$unsorted)) % 0.46/0.63 (define @t85 () (@var "H1" $$unsorted)) % 0.46/0.63 (define @t86 () (tptp.equal_maps @t85 @t84 @t4 @t49)) % 0.46/0.63 (define @t87 () (tptp.compose_predicate @t84 @t42 @t20 @t4 @t1 @t49)) % 0.46/0.63 (define @t88 () (tptp.compose_predicate @t85 @t42 @t20 @t4 @t1 @t49)) % 0.46/0.63 (define @t89 () (tptp.maps @t42 @t1 @t49)) % 0.46/0.63 (define @t90 () (and @t37 @t89 @t88 @t87)) % 0.46/0.63 (define @t91 () (@list @t20 @t42 @t85 @t84 @t4 @t1 @t49)) % 0.46/0.63 (define @t92 () (forall @t91 (=> @t90 @t86))) % 0.46/0.63 (define @t93 () (not @t92)) % 0.46/0.63 (define @t94 () (not @t43)) % 0.46/0.63 (define @t95 () (not @t30)) % 0.46/0.63 (define @t96 () (not @t31)) % 0.46/0.63 (define @t97 () (or @t96 @t95 @t94)) % 0.46/0.63 (define @t98 () (= @t47 (not (forall @t16 @t97)))) % 0.46/0.63 (define @t99 () (not @t50)) % 0.46/0.63 (define @t100 () (not @t5)) % 0.46/0.63 (define @t101 () (or @t100 @t99 @t98)) % 0.46/0.63 (define @t102 () (forall @t16 (not @t44))) % 0.46/0.63 (define @t103 () (not @t102)) % 0.46/0.63 (define @t104 () (not @t87)) % 0.46/0.63 (define @t105 () (not @t88)) % 0.46/0.63 (define @t106 () (not @t89)) % 0.46/0.63 (define @t107 () (not @t37)) % 0.46/0.63 (define @t108 () (or @t107 @t106 @t105 @t104 @t86)) % 0.46/0.63 (define @t109 () (forall @t91 @t108)) % 0.46/0.63 (define @t110 () (@quantifiers_skolemize @t109 6)) % 0.46/0.63 (define @t111 () (@quantifiers_skolemize @t109 5)) % 0.46/0.63 (define @t112 () (@quantifiers_skolemize @t109 4)) % 0.46/0.63 (define @t113 () (@quantifiers_skolemize @t109 0)) % 0.46/0.63 (define @t114 () (@quantifiers_skolemize @t109 1)) % 0.46/0.63 (define @t115 () (@quantifiers_skolemize @t109 2)) % 0.46/0.63 (define @t116 () (or @t107 @t106 @t105 @t104)) % 0.46/0.63 (define @t117 () (tptp.compose_predicate @t115 @t114 @t113 @t112 @t111 @t110)) % 0.46/0.63 (define @t118 () (@quantifiers_skolemize @t109 3)) % 0.46/0.63 (define @t119 () (tptp.equal_maps @t115 @t118 @t112 @t110)) % 0.46/0.63 (define @t120 () (tptp.compose_predicate @t118 @t114 @t113 @t112 @t111 @t110)) % 0.46/0.63 (define @t121 () (not @t120)) % 0.46/0.63 (define @t122 () (not @t117)) % 0.46/0.63 (define @t123 () (tptp.maps @t114 @t111 @t110)) % 0.46/0.63 (define @t124 () (not @t123)) % 0.46/0.63 (define @t125 () (tptp.maps @t113 @t112 @t111)) % 0.46/0.63 (define @t126 () (not @t125)) % 0.46/0.63 (define @t127 () (or @t126 @t124 @t122 @t121 @t119)) % 0.46/0.63 (define @t128 () (@list true)) % 0.46/0.63 (define @t129 () (@list @t127)) % 0.46/0.63 (define @t130 () (not (tptp.apply @t113 @t2 @t13))) % 0.46/0.63 (define @t131 () (not (tptp.member @t13 @t111))) % 0.46/0.63 (define @t132 () (not (forall @t16 (or @t131 @t130 (not (tptp.apply @t114 @t13 @t41)))))) % 0.46/0.63 (define @t133 () (not (tptp.member @t41 @t110))) % 0.46/0.63 (define @t134 () (not (tptp.member @t2 @t112))) % 0.46/0.63 (define @t135 () (forall @t53 (or @t134 @t133 (= (tptp.apply @t115 @t2 @t41) @t132)))) % 0.46/0.63 (define @t136 () (= @t117 @t135)) % 0.46/0.63 (define @t137 () (@list false false)) % 0.46/0.63 (define @t138 () (not (tptp.member @t17 @t110))) % 0.46/0.63 (define @t139 () (not (tptp.member @t18 @t110))) % 0.46/0.63 (define @t140 () (forall @t28 (or @t134 @t139 @t138 (not (tptp.apply @t115 @t2 @t18)) (not (tptp.apply @t118 @t2 @t17)) @t19))) % 0.46/0.63 (define @t141 () (@quantifiers_skolemize @t140 1)) % 0.46/0.63 (define @t142 () (@quantifiers_skolemize @t140 0)) % 0.46/0.63 (define @t143 () (not @t59)) % 0.46/0.63 (define @t144 () (not @t22)) % 0.46/0.63 (define @t145 () (not @t25)) % 0.46/0.63 (define @t146 () (not @t26)) % 0.46/0.63 (define @t147 () (or @t144 @t143 @t19)) % 0.46/0.63 (define @t148 () (or @t100 @t146 @t145)) % 0.46/0.63 (define @t149 () (not @t27)) % 0.46/0.63 (define @t150 () (= @t119 @t140)) % 0.46/0.63 (define @t151 () (not @t140)) % 0.46/0.63 (define @t152 () (tptp.member @t141 @t110)) % 0.46/0.63 (define @t153 () (@quantifiers_skolemize @t140 2)) % 0.46/0.63 (define @t154 () (= @t141 @t153)) % 0.46/0.63 (define @t155 () (tptp.apply @t118 @t142 @t153)) % 0.46/0.63 (define @t156 () (not @t155)) % 0.46/0.63 (define @t157 () (tptp.apply @t115 @t142 @t141)) % 0.46/0.63 (define @t158 () (not @t157)) % 0.46/0.63 (define @t159 () (tptp.member @t153 @t110)) % 0.46/0.63 (define @t160 () (not @t159)) % 0.46/0.63 (define @t161 () (not @t152)) % 0.46/0.63 (define @t162 () (tptp.member @t142 @t112)) % 0.46/0.63 (define @t163 () (not @t162)) % 0.46/0.63 (define @t164 () (or @t163 @t161 @t160 @t158 @t156 @t154)) % 0.46/0.63 (define @t165 () (@list @t164)) % 0.46/0.63 (define @t166 () (not (tptp.apply @t113 @t142 @t13))) % 0.46/0.63 (define @t167 () (forall @t16 (or @t131 @t166 (not (tptp.apply @t114 @t13 @t141))))) % 0.46/0.63 (define @t168 () (not @t167)) % 0.46/0.63 (define @t169 () (= @t157 @t168)) % 0.46/0.63 (define @t170 () (or @t163 @t161 @t169)) % 0.46/0.63 (define @t171 () (@list false false false)) % 0.46/0.63 (define @t172 () (@quantifiers_skolemize @t167 0)) % 0.46/0.63 (define @t173 () (tptp.apply @t114 @t172 @t141)) % 0.46/0.63 (define @t174 () (not @t173)) % 0.46/0.63 (define @t175 () (tptp.apply @t113 @t142 @t172)) % 0.46/0.63 (define @t176 () (not @t175)) % 0.46/0.63 (define @t177 () (tptp.member @t172 @t111)) % 0.46/0.63 (define @t178 () (not @t177)) % 0.46/0.63 (define @t179 () (or @t178 @t176 @t174)) % 0.46/0.63 (define @t180 () (@list @t179)) % 0.46/0.63 (define @t181 () (not @t21)) % 0.46/0.63 (define @t182 () (or @t144 @t181 @t19)) % 0.46/0.63 (define @t183 () (not (forall @t16 (or @t96 @t95)))) % 0.46/0.63 (define @t184 () (forall @t16 (not @t32))) % 0.46/0.63 (define @t185 () (not @t184)) % 0.46/0.63 (define @t186 () (forall @t28 (or @t134 (not (tptp.member @t18 @t111)) (not (tptp.member @t17 @t111)) (not (tptp.apply @t113 @t2 @t18)) (not (tptp.apply @t113 @t2 @t17)) @t19))) % 0.46/0.63 (define @t187 () (forall @t6 (or @t134 (not (forall @t16 (or @t131 @t130)))))) % 0.46/0.63 (define @t188 () (and @t187 @t186)) % 0.46/0.63 (define @t189 () (= @t125 @t188)) % 0.46/0.63 (define @t190 () (not @t188)) % 0.46/0.63 (define @t191 () (@list false)) % 0.46/0.63 (define @t192 () (@list @t188)) % 0.46/0.63 (define @t193 () (forall @t16 (or @t131 @t166))) % 0.46/0.63 (define @t194 () (@quantifiers_skolemize @t193 0)) % 0.46/0.63 (define @t195 () (not @t193)) % 0.46/0.63 (define @t196 () (or @t163 @t195)) % 0.46/0.63 (define @t197 () (tptp.apply @t113 @t142 @t194)) % 0.46/0.63 (define @t198 () (not @t197)) % 0.46/0.63 (define @t199 () (tptp.member @t194 @t111)) % 0.46/0.63 (define @t200 () (not @t199)) % 0.46/0.63 (define @t201 () (or @t200 @t198)) % 0.46/0.63 (define @t202 () (@list @t201)) % 0.46/0.63 (define @t203 () (= @t194 @t172)) % 0.46/0.63 (define @t204 () (or @t163 @t200 @t178 @t198 @t176 @t203)) % 0.46/0.63 (define @t205 () (@list false false false false false false)) % 0.46/0.63 (define @t206 () (forall @t16 (or @t131 @t166 (not (tptp.apply @t114 @t13 @t153))))) % 0.46/0.63 (define @t207 () (@quantifiers_skolemize @t206 0)) % 0.46/0.63 (define @t208 () (tptp.apply @t118 @t2 @t41)) % 0.46/0.63 (define @t209 () (or @t134 @t133 (= @t208 @t132))) % 0.46/0.63 (define @t210 () (forall @t53 @t209)) % 0.46/0.63 (define @t211 () (= @t120 @t210)) % 0.46/0.63 (define @t212 () (forall @t57 (= @t55 (forall @t53 @t101)))) % 0.46/0.63 (define @t213 () (forall @t53 (or @t134 @t133 (= @t132 @t208)))) % 0.46/0.63 (define @t214 () (= @t120 @t213)) % 0.46/0.63 (define @t215 () (not @t206)) % 0.46/0.63 (define @t216 () (or @t163 @t160 (= @t215 @t155))) % 0.46/0.63 (define @t217 () (= @t155 @t215)) % 0.46/0.63 (define @t218 () (or @t163 @t160 @t217)) % 0.46/0.63 (define @t219 () (tptp.apply @t113 @t142 @t207)) % 0.46/0.63 (define @t220 () (tptp.apply @t114 @t207 @t153)) % 0.46/0.63 (define @t221 () (not @t220)) % 0.46/0.63 (define @t222 () (not @t219)) % 0.46/0.63 (define @t223 () (tptp.member @t207 @t111)) % 0.46/0.63 (define @t224 () (not @t223)) % 0.46/0.63 (define @t225 () (or @t224 @t222 @t221)) % 0.46/0.63 (define @t226 () (@list @t225)) % 0.46/0.63 (define @t227 () (= @t194 @t207)) % 0.46/0.63 (define @t228 () (or @t163 @t200 @t224 @t198 @t222 @t227)) % 0.46/0.63 (define @t229 () (not (tptp.member @t2 @t111))) % 0.46/0.63 (define @t230 () (forall @t28 (or @t229 @t139 @t138 (not (tptp.apply @t114 @t2 @t18)) (not (tptp.apply @t114 @t2 @t17)) @t19))) % 0.46/0.63 (define @t231 () (and (forall @t6 (or @t229 (not (forall @t16 (or (not (tptp.member @t13 @t110)) (not (tptp.apply @t114 @t2 @t13))))))) @t230)) % 0.46/0.63 (define @t232 () (= @t123 @t231)) % 0.46/0.63 (define @t233 () (tptp.apply @t114 @t207 @t141)) % 0.46/0.63 (define @t234 () (not @t233)) % 0.46/0.63 (define @t235 () (or @t224 @t160 @t161 @t221 @t234 (= @t153 @t141))) % 0.46/0.63 (define @t236 () (or @t224 @t160 @t161 @t221 @t234 @t154)) % 0.46/0.63 (define @t237 () (and @t173 @t203 @t227)) % 0.46/0.63 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 0.46/0.63 (assume @p2 (forall @t8 (= (tptp.equal_set @t4 @t1) (and @t7 (tptp.subset @t1 @t4))))) % 0.46/0.63 (assume @p3 (forall @t9 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.46/0.63 (assume @p4 (forall @t10 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.46/0.63 (assume @p5 (forall @t10 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.46/0.63 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.46/0.63 (assume @p7 (forall (@list @t1 @t4 @t11) (= (tptp.member @t1 (tptp.difference @t11 @t4)) (and (tptp.member @t1 @t11) (not (tptp.member @t1 @t4)))))) % 0.46/0.63 (assume @p8 (forall @t9 (= (tptp.member @t2 (tptp.singleton @t4)) @t12))) % 0.46/0.63 (assume @p9 (forall @t10 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t12 (= @t2 @t1))))) % 0.46/0.63 (assume @p10 (forall @t9 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t16 (and @t15 @t14))))) % 0.46/0.63 (assume @p11 (forall @t9 (= (tptp.member @t2 (tptp.product @t4)) (forall @t16 (=> @t15 @t14))))) % 0.46/0.63 (assume @p12 @t40) % 0.46/0.63 (assume @p13 @t58) % 0.46/0.63 (assume @p14 (forall (@list @t42 @t20 @t4 @t1 @t49 @t2 @t41) (=> @t51 (= (tptp.apply (tptp.compose_function @t42 @t20 @t4 @t1 @t49) @t2 @t41) @t45)))) % 0.46/0.63 (assume @p15 @t65) % 0.46/0.63 (assume @p16 (forall (@list @t20 @t4) (= (tptp.identity @t20 @t4) (forall @t6 (=> @t5 (tptp.apply @t20 @t2 @t2)))))) % 0.46/0.63 (assume @p17 (forall @t39 (= @t70 (forall (@list @t67 @t66 @t13) (=> (and @t69 @t68 @t31) (=> (and (tptp.apply @t20 @t67 @t13) (tptp.apply @t20 @t66 @t13)) (= @t67 @t66))))))) % 0.46/0.63 (assume @p18 (forall @t39 (= @t71 (forall @t16 (=> @t31 (exists (@list @t11) (and (tptp.member @t11 @t4) (tptp.apply @t20 @t11 @t13)))))))) % 0.46/0.63 (assume @p19 (forall @t39 (= @t72 (and @t70 @t71)))) % 0.46/0.63 (assume @p20 (forall (@list @t42 @t20 @t4 @t1) (= (tptp.inverse_predicate @t42 @t20 @t4 @t1) (forall (@list @t2 @t13) (=> @t73 (= @t30 (tptp.apply @t42 @t13 @t2))))))) % 0.46/0.63 (assume @p21 (forall (@list @t20 @t4 @t1 @t2 @t13) (=> @t73 (= @t30 (tptp.apply (tptp.inverse_function @t20 @t4 @t1) @t13 @t2))))) % 0.46/0.63 (assume @p22 (forall (@list @t20 @t4 @t13) (= (tptp.member @t13 (tptp.image2 @t20 @t4)) @t74))) % 0.46/0.63 (assume @p23 (forall (@list @t20 @t4 @t1 @t13) (= (tptp.member @t13 (tptp.image3 @t20 @t4 @t1)) (and @t31 @t74)))) % 0.46/0.63 (assume @p24 (forall (@list @t20 @t1 @t2) (= (tptp.member @t2 (tptp.inverse_image2 @t20 @t1)) @t33))) % 0.46/0.63 (assume @p25 (forall (@list @t20 @t1 @t4 @t2) (= (tptp.member @t2 (tptp.inverse_image3 @t20 @t1 @t4)) (and @t5 @t33)))) % 0.46/0.63 (assume @p26 (forall @t83 (= (tptp.increasing @t20 @t4 @t79 @t1 @t75) (forall @t82 (=> @t81 @t76))))) % 0.46/0.63 (assume @p27 (forall @t83 (= (tptp.decreasing @t20 @t4 @t79 @t1 @t75) (forall @t82 (=> @t81 (tptp.apply @t75 @t17 @t18)))))) % 0.46/0.63 (assume @p28 (forall @t83 (= (tptp.isomorphism @t20 @t4 @t79 @t1 @t75) (and @t37 @t72 (forall @t82 (=> (and @t69 @t26 @t68 @t25 @t78 @t77) (= @t80 @t76))))))) % 0.46/0.63 (assume @p29 @t93) % 0.46/0.63 (assume @p30 true) % 0.46/0.63 (step @p31 :rule aci_norm :args ((= (or (or @t100 @t99) @t98) @t101))) % 0.46/0.63 (step @p32 :rule refl :args (@t98)) % 0.46/0.63 (step @p33 :rule bool-and-de-morgan :args (@t5 @t50 true)) % 0.46/0.63 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or (not @t51) @t98))) % 0.46/0.63 (step @p35 :rule trans :premises (@p34 @p31)) % 0.46/0.63 (step @p36 :rule bool-impl-elim :args (@t51 @t98)) % 0.46/0.63 (step @p37 :rule trans :premises (@p36 @p35)) % 0.46/0.63 (step @p38 :rule cong :premises (@p37) :args ((forall @t53 (=> @t51 @t98)))) % 0.46/0.63 (step @p39 :rule aci_norm :args ((= (or @t96 (or @t95 @t94)) @t97))) % 0.46/0.63 (step @p40 :rule bool-and-de-morgan :args (@t30 @t43 true)) % 0.46/0.63 (step @p41 :rule refl :args (@t96)) % 0.46/0.63 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or @t96 (not (and @t30 @t43))))) % 0.46/0.63 (step @p43 :rule bool-and-de-morgan :args (@t31 @t30 (and @t43))) % 0.46/0.63 (step @p44 :rule trans :premises (@p43 @p42)) % 0.46/0.63 (step @p45 :rule trans :premises (@p44 @p39)) % 0.46/0.63 (step @p46 :rule cong :premises (@p45) :args (@t102)) % 0.46/0.63 (step @p47 :rule cong :premises (@p46) :args (@t103)) % 0.46/0.63 (step @p48 :rule exists-elim :args ((= @t45 @t103))) % 0.46/0.63 (step @p49 :rule trans :premises (@p48 @p47)) % 0.46/0.63 (step @p50 :rule refl :args (@t47)) % 0.46/0.63 (step @p51 :rule cong :premises (@p50 @p49) :args (@t48)) % 0.46/0.63 (step @p52 :rule refl :args (@t51)) % 0.46/0.63 (step @p53 :rule cong :premises (@p52 @p51) :args (@t52)) % 0.46/0.63 (step @p54 :rule cong :premises (@p53) :args (@t54)) % 0.46/0.63 (step @p55 :rule trans :premises (@p54 @p38)) % 0.46/0.63 (step @p56 :rule refl :args (@t55)) % 0.46/0.63 (step @p57 :rule cong :premises (@p56 @p55) :args (@t56)) % 0.46/0.63 (step @p58 :rule cong :premises (@p57) :args (@t58)) % 0.46/0.63 (step @p59 :rule eq_resolve :premises (@p13 @p58)) % 0.46/0.63 (step @p60 :rule instantiate :premises (@p59) :args ((@list @t115 @t114 @t113 @t112 @t111 @t110))) % 0.46/0.63 (step @p61 :rule aci_norm :args ((= (or @t116 @t86) @t108))) % 0.46/0.63 (step @p62 :rule refl :args (@t86)) % 0.46/0.63 (step @p63 :rule aci_norm :args ((= (or @t107 (or @t106 (or @t105 @t104))) @t116))) % 0.46/0.63 (step @p64 :rule bool-and-de-morgan :args (@t88 @t87 true)) % 0.46/0.63 (step @p65 :rule refl :args (@t106)) % 0.46/0.63 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or @t106 (not (and @t88 @t87))))) % 0.46/0.63 (step @p67 :rule bool-and-de-morgan :args (@t89 @t88 (and @t87))) % 0.46/0.63 (step @p68 :rule trans :premises (@p67 @p66)) % 0.46/0.63 (step @p69 :rule refl :args (@t107)) % 0.46/0.63 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t107 (not (and @t89 @t88 @t87))))) % 0.46/0.63 (step @p71 :rule bool-and-de-morgan :args (@t37 @t89 (and @t88 @t87))) % 0.46/0.63 (step @p72 :rule trans :premises (@p71 @p70)) % 0.46/0.63 (step @p73 :rule trans :premises (@p72 @p63)) % 0.46/0.63 (step @p74 :rule nary_cong :premises (@p73 @p62) :args ((or (not @t90) @t86))) % 0.46/0.63 (step @p75 :rule trans :premises (@p74 @p61)) % 0.46/0.63 (step @p76 :rule bool-impl-elim :args (@t90 @t86)) % 0.46/0.63 (step @p77 :rule trans :premises (@p76 @p75)) % 0.46/0.63 (step @p78 :rule cong :premises (@p77) :args (@t92)) % 0.46/0.63 (step @p79 :rule cong :premises (@p78) :args (@t93)) % 0.46/0.63 (step @p80 :rule eq_resolve :premises (@p29 @p79)) % 0.46/0.63 (step @p81 :rule skolemize :premises (@p80)) % 0.46/0.63 (step @p82 :rule bool-double-not-elim :args (@t117)) % 0.46/0.63 (step @p83 :rule refl :args (@t127)) % 0.46/0.63 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or @t127 (not @t122)))) % 0.46/0.63 (step @p85 :rule cnf_or_neg :args (@t127 2)) % 0.46/0.63 (step @p86 :rule eq_resolve :premises (@p85 @p84)) % 0.46/0.63 (step @p87 :rule reordering :premises (@p86) :args ((or @t117 @t127))) % 0.46/0.63 (step @p88 :rule chain_m_resolution :premises (@p87 @p81) :args (@t117 @t128 @t129)) % 0.46/0.63 (step @p89 :rule cnf_equiv_pos1 :args (@t136)) % 0.46/0.63 (step @p90 :rule reordering :premises (@p89) :args ((or @t122 @t135 (not @t136)))) % 0.46/0.63 (step @p91 :rule chain_m_resolution :premises (@p90 @p88 @p60) :args (@t135 @t137 (@list @t117 @t136))) % 0.46/0.63 (step @p92 :rule instantiate :premises (@p91) :args ((@list @t142 @t141))) % 0.46/0.63 (step @p93 :rule aci_norm :args ((= (or @t148 @t147) (or @t100 @t146 @t145 @t144 @t143 @t19)))) % 0.46/0.63 (step @p94 :rule aci_norm :args ((= (or (or @t144 @t143) @t19) @t147))) % 0.46/0.63 (step @p95 :rule refl :args (@t19)) % 0.46/0.63 (step @p96 :rule bool-and-de-morgan :args (@t22 @t59 true)) % 0.46/0.63 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or (not @t60) @t19))) % 0.46/0.63 (step @p98 :rule trans :premises (@p97 @p94)) % 0.46/0.63 (step @p99 :rule bool-impl-elim :args (@t60 @t19)) % 0.46/0.63 (step @p100 :rule trans :premises (@p99 @p98)) % 0.46/0.63 (step @p101 :rule aci_norm :args ((= (or @t100 (or @t146 @t145)) @t148))) % 0.46/0.63 (step @p102 :rule bool-and-de-morgan :args (@t26 @t25 true)) % 0.46/0.63 (step @p103 :rule refl :args (@t100)) % 0.46/0.63 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or @t100 (not (and @t26 @t25))))) % 0.46/0.63 (step @p105 :rule bool-and-de-morgan :args (@t5 @t26 (and @t25))) % 0.46/0.63 (step @p106 :rule trans :premises (@p105 @p104)) % 0.46/0.63 (step @p107 :rule trans :premises (@p106 @p101)) % 0.46/0.63 (step @p108 :rule nary_cong :premises (@p107 @p100) :args ((or @t149 @t61))) % 0.46/0.63 (step @p109 :rule trans :premises (@p108 @p93)) % 0.46/0.63 (step @p110 :rule bool-impl-elim :args (@t27 @t61)) % 0.46/0.63 (step @p111 :rule trans :premises (@p110 @p109)) % 0.46/0.63 (step @p112 :rule cong :premises (@p111) :args (@t62)) % 0.46/0.63 (step @p113 :rule refl :args (@t63)) % 0.46/0.63 (step @p114 :rule cong :premises (@p113 @p112) :args (@t64)) % 0.46/0.63 (step @p115 :rule cong :premises (@p114) :args (@t65)) % 0.46/0.63 (step @p116 :rule eq_resolve :premises (@p15 @p115)) % 0.46/0.63 (step @p117 :rule instantiate :premises (@p116) :args ((@list @t115 @t118 @t112 @t110))) % 0.46/0.63 (step @p118 :rule cnf_or_neg :args (@t127 4)) % 0.46/0.63 (step @p119 :rule chain_m_resolution :premises (@p118 @p81) :args ((not @t119) @t128 @t129)) % 0.46/0.63 (step @p120 :rule cnf_equiv_pos2 :args (@t150)) % 0.46/0.63 (step @p121 :rule reordering :premises (@p120) :args ((or @t119 @t151 (not @t150)))) % 0.46/0.63 (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p117) :args (@t151 (@list true false) (@list @t119 @t150))) % 0.46/0.63 (step @p123 :rule skolemize :premises (@p122)) % 0.46/0.63 (step @p124 :rule bool-double-not-elim :args (@t152)) % 0.46/0.63 (step @p125 :rule refl :args (@t164)) % 0.46/0.63 (step @p126 :rule nary_cong :premises (@p125 @p124) :args ((or @t164 (not @t161)))) % 0.46/0.63 (step @p127 :rule cnf_or_neg :args (@t164 1)) % 0.46/0.63 (step @p128 :rule eq_resolve :premises (@p127 @p126)) % 0.46/0.63 (step @p129 :rule reordering :premises (@p128) :args ((or @t152 @t164))) % 0.46/0.63 (step @p130 :rule chain_m_resolution :premises (@p129 @p123) :args (@t152 @t128 @t165)) % 0.46/0.63 (step @p131 :rule bool-double-not-elim :args (@t162)) % 0.46/0.63 (step @p132 :rule nary_cong :premises (@p125 @p131) :args ((or @t164 (not @t163)))) % 0.46/0.63 (step @p133 :rule cnf_or_neg :args (@t164 0)) % 0.46/0.63 (step @p134 :rule eq_resolve :premises (@p133 @p132)) % 0.46/0.63 (step @p135 :rule reordering :premises (@p134) :args ((or @t162 @t164))) % 0.46/0.63 (step @p136 :rule chain_m_resolution :premises (@p135 @p123) :args (@t162 @t128 @t165)) % 0.46/0.63 (step @p137 :rule cnf_or_pos :args (@t170)) % 0.46/0.63 (step @p138 :rule reordering :premises (@p137) :args ((or @t163 @t161 @t169 (not @t170)))) % 0.46/0.63 (step @p139 :rule chain_m_resolution :premises (@p138 @p136 @p130 @p92) :args (@t169 @t171 (@list @t162 @t152 @t170))) % 0.46/0.63 (step @p140 :rule bool-double-not-elim :args (@t157)) % 0.46/0.63 (step @p141 :rule nary_cong :premises (@p125 @p140) :args ((or @t164 (not @t158)))) % 0.46/0.63 (step @p142 :rule cnf_or_neg :args (@t164 3)) % 0.46/0.63 (step @p143 :rule eq_resolve :premises (@p142 @p141)) % 0.46/0.63 (step @p144 :rule reordering :premises (@p143) :args ((or @t157 @t164))) % 0.46/0.63 (step @p145 :rule chain_m_resolution :premises (@p144 @p123) :args (@t157 @t128 @t165)) % 0.46/0.63 (step @p146 :rule cnf_equiv_pos1 :args (@t169)) % 0.46/0.63 (step @p147 :rule reordering :premises (@p146) :args ((or @t158 @t168 (not @t169)))) % 0.46/0.63 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p139) :args (@t168 @t137 (@list @t157 @t169))) % 0.46/0.63 (step @p149 :rule skolemize :premises (@p148)) % 0.46/0.63 (step @p150 :rule bool-double-not-elim :args (@t173)) % 0.46/0.63 (step @p151 :rule refl :args (@t179)) % 0.46/0.63 (step @p152 :rule nary_cong :premises (@p151 @p150) :args ((or @t179 (not @t174)))) % 0.46/0.63 (step @p153 :rule cnf_or_neg :args (@t179 2)) % 0.46/0.63 (step @p154 :rule eq_resolve :premises (@p153 @p152)) % 0.46/0.63 (step @p155 :rule reordering :premises (@p154) :args ((or @t173 @t179))) % 0.46/0.63 (step @p156 :rule chain_m_resolution :premises (@p155 @p149) :args (@t173 @t128 @t180)) % 0.46/0.63 (step @p157 :rule aci_norm :args ((= (or @t148 @t182) (or @t100 @t146 @t145 @t144 @t181 @t19)))) % 0.46/0.63 (step @p158 :rule aci_norm :args ((= (or (or @t144 @t181) @t19) @t182))) % 0.46/0.63 (step @p159 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 0.46/0.63 (step @p160 :rule nary_cong :premises (@p159 @p95) :args ((or (not @t23) @t19))) % 0.46/0.63 (step @p161 :rule trans :premises (@p160 @p158)) % 0.46/0.63 (step @p162 :rule bool-impl-elim :args (@t23 @t19)) % 0.46/0.63 (step @p163 :rule trans :premises (@p162 @p161)) % 0.46/0.63 (step @p164 :rule nary_cong :premises (@p107 @p163) :args ((or @t149 @t24))) % 0.46/0.63 (step @p165 :rule trans :premises (@p164 @p157)) % 0.46/0.63 (step @p166 :rule bool-impl-elim :args (@t27 @t24)) % 0.46/0.63 (step @p167 :rule trans :premises (@p166 @p165)) % 0.46/0.63 (step @p168 :rule cong :premises (@p167) :args (@t29)) % 0.46/0.63 (step @p169 :rule bool-impl-elim :args (@t5 @t183)) % 0.46/0.63 (step @p170 :rule cong :premises (@p169) :args ((forall @t6 (=> @t5 @t183)))) % 0.46/0.63 (step @p171 :rule bool-and-de-morgan :args (@t31 @t30 true)) % 0.46/0.63 (step @p172 :rule cong :premises (@p171) :args (@t184)) % 0.46/0.63 (step @p173 :rule cong :premises (@p172) :args (@t185)) % 0.46/0.63 (step @p174 :rule exists-elim :args ((= @t33 @t185))) % 0.46/0.63 (step @p175 :rule trans :premises (@p174 @p173)) % 0.46/0.63 (step @p176 :rule refl :args (@t5)) % 0.46/0.63 (step @p177 :rule cong :premises (@p176 @p175) :args (@t34)) % 0.46/0.63 (step @p178 :rule cong :premises (@p177) :args (@t35)) % 0.46/0.63 (step @p179 :rule trans :premises (@p178 @p170)) % 0.46/0.63 (step @p180 :rule nary_cong :premises (@p179 @p168) :args (@t36)) % 0.46/0.63 (step @p181 :rule refl :args (@t37)) % 0.46/0.63 (step @p182 :rule cong :premises (@p181 @p180) :args (@t38)) % 0.46/0.63 (step @p183 :rule cong :premises (@p182) :args (@t40)) % 0.46/0.63 (step @p184 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