%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET719+4 : TPTP v9.2.1. Bugfixed v2.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:48:30 AM UTC 2026 % Result : Theorem 0.36s 0.68s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SET719+4 : TPTP v9.2.1. Bugfixed v2.2.1. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n015.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 16:10:34 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.68 % SZS status Theorem % 0.36/0.68 % SZS output start Proof % 0.36/0.68 ( % 0.36/0.68 (declare-sort $$unsorted 0) % 0.36/0.68 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.inverse_function (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.empty_set $$unsorted) % 0.36/0.68 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.equal_maps (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.one_to_one (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.increasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.surjective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.isomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.compose_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.identity (-> $$unsorted $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.injective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.compose_function (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.inverse_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.inverse_image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.decreasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.inverse_image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.68 (define @t1 () (@var "B" $$unsorted)) % 0.36/0.68 (define @t2 () (@var "X" $$unsorted)) % 0.36/0.68 (define @t3 () (tptp.member @t2 @t1)) % 0.36/0.68 (define @t4 () (@var "A" $$unsorted)) % 0.36/0.68 (define @t5 () (tptp.member @t2 @t4)) % 0.36/0.68 (define @t6 () (@list @t2)) % 0.36/0.68 (define @t7 () (tptp.subset @t4 @t1)) % 0.36/0.68 (define @t8 () (@list @t4 @t1)) % 0.36/0.68 (define @t9 () (@list @t2 @t4)) % 0.36/0.68 (define @t10 () (@list @t2 @t4 @t1)) % 0.36/0.68 (define @t11 () (@var "E" $$unsorted)) % 0.36/0.68 (define @t12 () (= @t2 @t4)) % 0.36/0.68 (define @t13 () (@var "Y" $$unsorted)) % 0.36/0.68 (define @t14 () (tptp.member @t2 @t13)) % 0.36/0.68 (define @t15 () (tptp.member @t13 @t4)) % 0.36/0.68 (define @t16 () (@list @t13)) % 0.36/0.68 (define @t17 () (@var "Y2" $$unsorted)) % 0.36/0.68 (define @t18 () (@var "Y1" $$unsorted)) % 0.36/0.68 (define @t19 () (= @t18 @t17)) % 0.36/0.68 (define @t20 () (@var "F" $$unsorted)) % 0.36/0.68 (define @t21 () (tptp.apply @t20 @t2 @t17)) % 0.36/0.68 (define @t22 () (tptp.apply @t20 @t2 @t18)) % 0.36/0.68 (define @t23 () (and @t22 @t21)) % 0.36/0.68 (define @t24 () (=> @t23 @t19)) % 0.36/0.68 (define @t25 () (tptp.member @t17 @t1)) % 0.36/0.68 (define @t26 () (tptp.member @t18 @t1)) % 0.36/0.68 (define @t27 () (and @t5 @t26 @t25)) % 0.36/0.68 (define @t28 () (@list @t2 @t18 @t17)) % 0.36/0.68 (define @t29 () (forall @t28 (=> @t27 @t24))) % 0.36/0.68 (define @t30 () (tptp.apply @t20 @t2 @t13)) % 0.36/0.68 (define @t31 () (tptp.member @t13 @t1)) % 0.36/0.68 (define @t32 () (and @t31 @t30)) % 0.36/0.68 (define @t33 () (exists @t16 @t32)) % 0.36/0.68 (define @t34 () (=> @t5 @t33)) % 0.36/0.68 (define @t35 () (forall @t6 @t34)) % 0.36/0.68 (define @t36 () (and @t35 @t29)) % 0.36/0.68 (define @t37 () (tptp.maps @t20 @t4 @t1)) % 0.36/0.68 (define @t38 () (= @t37 @t36)) % 0.36/0.68 (define @t39 () (@list @t20 @t4 @t1)) % 0.36/0.68 (define @t40 () (forall @t39 @t38)) % 0.36/0.68 (define @t41 () (@var "Z" $$unsorted)) % 0.36/0.68 (define @t42 () (@var "G" $$unsorted)) % 0.36/0.68 (define @t43 () (tptp.apply @t42 @t13 @t41)) % 0.36/0.68 (define @t44 () (and @t31 @t30 @t43)) % 0.36/0.68 (define @t45 () (exists @t16 @t44)) % 0.36/0.68 (define @t46 () (@var "H" $$unsorted)) % 0.36/0.68 (define @t47 () (@var "C" $$unsorted)) % 0.36/0.68 (define @t48 () (tptp.member @t41 @t47)) % 0.36/0.68 (define @t49 () (and @t5 @t48)) % 0.36/0.68 (define @t50 () (tptp.compose_function @t42 @t20 @t4 @t1 @t47)) % 0.36/0.68 (define @t51 () (tptp.apply @t50 @t2 @t41)) % 0.36/0.68 (define @t52 () (=> @t49 (= @t51 @t45))) % 0.36/0.68 (define @t53 () (@list @t42 @t20 @t4 @t1 @t47 @t2 @t41)) % 0.36/0.68 (define @t54 () (forall @t53 @t52)) % 0.36/0.68 (define @t55 () (tptp.apply @t42 @t2 @t17)) % 0.36/0.68 (define @t56 () (and @t22 @t55)) % 0.36/0.68 (define @t57 () (=> @t56 @t19)) % 0.36/0.68 (define @t58 () (forall @t28 (=> @t27 @t57))) % 0.36/0.68 (define @t59 () (tptp.equal_maps @t20 @t42 @t4 @t1)) % 0.36/0.68 (define @t60 () (= @t59 @t58)) % 0.36/0.68 (define @t61 () (forall (@list @t20 @t42 @t4 @t1) @t60)) % 0.36/0.68 (define @t62 () (@var "X2" $$unsorted)) % 0.36/0.68 (define @t63 () (@var "X1" $$unsorted)) % 0.36/0.68 (define @t64 () (= @t63 @t62)) % 0.36/0.68 (define @t65 () (tptp.apply @t20 @t62 @t13)) % 0.36/0.68 (define @t66 () (tptp.apply @t20 @t63 @t13)) % 0.36/0.68 (define @t67 () (and @t66 @t65)) % 0.36/0.68 (define @t68 () (=> @t67 @t64)) % 0.36/0.68 (define @t69 () (tptp.member @t62 @t4)) % 0.36/0.68 (define @t70 () (tptp.member @t63 @t4)) % 0.36/0.68 (define @t71 () (and @t70 @t69 @t31)) % 0.36/0.68 (define @t72 () (@list @t63 @t62 @t13)) % 0.36/0.68 (define @t73 () (forall @t72 (=> @t71 @t68))) % 0.36/0.68 (define @t74 () (tptp.injective @t20 @t4 @t1)) % 0.36/0.68 (define @t75 () (= @t74 @t73)) % 0.36/0.68 (define @t76 () (forall @t39 @t75)) % 0.36/0.68 (define @t77 () (tptp.apply @t20 @t11 @t13)) % 0.36/0.68 (define @t78 () (tptp.member @t11 @t4)) % 0.36/0.68 (define @t79 () (and @t78 @t77)) % 0.36/0.68 (define @t80 () (@list @t11)) % 0.36/0.68 (define @t81 () (exists @t80 @t79)) % 0.36/0.68 (define @t82 () (=> @t31 @t81)) % 0.36/0.68 (define @t83 () (forall @t16 @t82)) % 0.36/0.68 (define @t84 () (tptp.surjective @t20 @t4 @t1)) % 0.36/0.68 (define @t85 () (= @t84 @t83)) % 0.36/0.68 (define @t86 () (forall @t39 @t85)) % 0.36/0.68 (define @t87 () (tptp.one_to_one @t20 @t4 @t1)) % 0.36/0.68 (define @t88 () (and @t5 @t31)) % 0.36/0.68 (define @t89 () (tptp.inverse_function @t20 @t4 @t1)) % 0.36/0.68 (define @t90 () (= @t30 (tptp.apply @t89 @t13 @t2))) % 0.36/0.68 (define @t91 () (@list @t20 @t4 @t1 @t2 @t13)) % 0.36/0.68 (define @t92 () (forall @t91 (=> @t88 @t90))) % 0.36/0.68 (define @t93 () (exists @t6 (and @t5 @t30))) % 0.36/0.68 (define @t94 () (@var "S" $$unsorted)) % 0.36/0.68 (define @t95 () (tptp.apply @t94 @t18 @t17)) % 0.36/0.68 (define @t96 () (tptp.apply @t20 @t62 @t17)) % 0.36/0.68 (define @t97 () (tptp.apply @t20 @t63 @t18)) % 0.36/0.68 (define @t98 () (@var "R" $$unsorted)) % 0.36/0.68 (define @t99 () (tptp.apply @t98 @t63 @t62)) % 0.36/0.68 (define @t100 () (and @t70 @t26 @t69 @t25 @t99 @t97 @t96)) % 0.36/0.68 (define @t101 () (@list @t63 @t18 @t62 @t17)) % 0.36/0.68 (define @t102 () (@list @t20 @t4 @t98 @t1 @t94)) % 0.36/0.68 (define @t103 () (tptp.equal_maps (tptp.inverse_function @t50 @t4 @t47) (tptp.compose_function @t89 (tptp.inverse_function @t42 @t1 @t47) @t47 @t1 @t4) @t47 @t4)) % 0.36/0.68 (define @t104 () (tptp.one_to_one @t42 @t1 @t47)) % 0.36/0.68 (define @t105 () (tptp.maps @t42 @t1 @t47)) % 0.36/0.68 (define @t106 () (and @t37 @t105 @t87 @t104)) % 0.36/0.68 (define @t107 () (@list @t20 @t42 @t4 @t1 @t47)) % 0.36/0.68 (define @t108 () (forall @t107 (=> @t106 @t103))) % 0.36/0.68 (define @t109 () (not @t108)) % 0.36/0.68 (define @t110 () (not @t31)) % 0.36/0.68 (define @t111 () (not @t5)) % 0.36/0.68 (define @t112 () (or @t111 @t110 @t90)) % 0.36/0.68 (define @t113 () (not @t104)) % 0.36/0.68 (define @t114 () (not @t87)) % 0.36/0.68 (define @t115 () (not @t105)) % 0.36/0.68 (define @t116 () (not @t37)) % 0.36/0.68 (define @t117 () (or @t116 @t115 @t114 @t113 @t103)) % 0.36/0.68 (define @t118 () (forall @t107 @t117)) % 0.36/0.68 (define @t119 () (@quantifiers_skolemize @t118 2)) % 0.36/0.68 (define @t120 () (@quantifiers_skolemize @t118 3)) % 0.36/0.68 (define @t121 () (@quantifiers_skolemize @t118 4)) % 0.36/0.68 (define @t122 () (@quantifiers_skolemize @t118 1)) % 0.36/0.68 (define @t123 () (tptp.inverse_function @t122 @t120 @t121)) % 0.36/0.68 (define @t124 () (@quantifiers_skolemize @t118 0)) % 0.36/0.68 (define @t125 () (tptp.inverse_function @t124 @t119 @t120)) % 0.36/0.68 (define @t126 () (tptp.compose_function @t125 @t123 @t121 @t120 @t119)) % 0.36/0.68 (define @t127 () (tptp.compose_function @t122 @t124 @t119 @t120 @t121)) % 0.36/0.68 (define @t128 () (tptp.inverse_function @t127 @t119 @t121)) % 0.36/0.68 (define @t129 () (forall @t28 (or (not (tptp.member @t2 @t121)) (not (tptp.member @t18 @t119)) (not (tptp.member @t17 @t119)) (not (tptp.apply @t128 @t2 @t18)) (not (tptp.apply @t126 @t2 @t17)) @t19))) % 0.36/0.68 (define @t130 () (@quantifiers_skolemize @t129 2)) % 0.36/0.68 (define @t131 () (@quantifiers_skolemize @t129 0)) % 0.36/0.68 (define @t132 () (not (tptp.member @t13 @t120))) % 0.36/0.68 (define @t133 () (forall @t16 (or @t132 (not (tptp.apply @t123 @t131 @t13)) (not (tptp.apply @t125 @t13 @t130))))) % 0.36/0.68 (define @t134 () (@quantifiers_skolemize @t133 0)) % 0.36/0.68 (define @t135 () (tptp.apply @t124 @t130 @t134)) % 0.36/0.68 (define @t136 () (tptp.apply @t125 @t134 @t130)) % 0.36/0.68 (define @t137 () (tptp.member @t134 @t120)) % 0.36/0.68 (define @t138 () (not @t137)) % 0.36/0.68 (define @t139 () (tptp.member @t130 @t119)) % 0.36/0.68 (define @t140 () (not @t139)) % 0.36/0.68 (define @t141 () (or @t140 @t138 (= @t135 @t136))) % 0.36/0.68 (define @t142 () (forall @t91 @t112)) % 0.36/0.68 (define @t143 () (= @t136 @t135)) % 0.36/0.68 (define @t144 () (or @t140 @t138 @t143)) % 0.36/0.68 (define @t145 () (@list false)) % 0.36/0.68 (define @t146 () (@list @t142)) % 0.36/0.68 (define @t147 () (not @t43)) % 0.36/0.68 (define @t148 () (not @t30)) % 0.36/0.68 (define @t149 () (or @t110 @t148 @t147)) % 0.36/0.68 (define @t150 () (not (forall @t16 @t149))) % 0.36/0.68 (define @t151 () (= @t51 @t150)) % 0.36/0.68 (define @t152 () (not @t48)) % 0.36/0.68 (define @t153 () (forall @t16 (not @t44))) % 0.36/0.68 (define @t154 () (not @t153)) % 0.36/0.68 (define @t155 () (not @t55)) % 0.36/0.68 (define @t156 () (not @t22)) % 0.36/0.68 (define @t157 () (not @t25)) % 0.36/0.68 (define @t158 () (not @t26)) % 0.36/0.68 (define @t159 () (or @t156 @t155 @t19)) % 0.36/0.68 (define @t160 () (or @t111 @t158 @t157)) % 0.36/0.68 (define @t161 () (not @t27)) % 0.36/0.68 (define @t162 () (or @t116 @t115 @t114 @t113)) % 0.36/0.68 (define @t163 () (tptp.equal_maps @t128 @t126 @t121 @t119)) % 0.36/0.68 (define @t164 () (tptp.one_to_one @t122 @t120 @t121)) % 0.36/0.68 (define @t165 () (not @t164)) % 0.36/0.68 (define @t166 () (tptp.one_to_one @t124 @t119 @t120)) % 0.36/0.68 (define @t167 () (not @t166)) % 0.36/0.68 (define @t168 () (tptp.maps @t124 @t119 @t120)) % 0.36/0.68 (define @t169 () (not @t168)) % 0.36/0.68 (define @t170 () (or @t169 (not (tptp.maps @t122 @t120 @t121)) @t167 @t165 @t163)) % 0.36/0.68 (define @t171 () (@list true)) % 0.36/0.68 (define @t172 () (@list @t170)) % 0.36/0.68 (define @t173 () (= @t163 @t129)) % 0.36/0.68 (define @t174 () (not @t129)) % 0.36/0.68 (define @t175 () (@quantifiers_skolemize @t129 1)) % 0.36/0.68 (define @t176 () (= @t175 @t130)) % 0.36/0.68 (define @t177 () (tptp.apply @t126 @t131 @t130)) % 0.36/0.68 (define @t178 () (not @t177)) % 0.36/0.68 (define @t179 () (tptp.apply @t128 @t131 @t175)) % 0.36/0.68 (define @t180 () (not @t179)) % 0.36/0.68 (define @t181 () (tptp.member @t175 @t119)) % 0.36/0.68 (define @t182 () (not @t181)) % 0.36/0.68 (define @t183 () (tptp.member @t131 @t121)) % 0.36/0.68 (define @t184 () (not @t183)) % 0.36/0.68 (define @t185 () (or @t184 @t182 @t140 @t180 @t178 @t176)) % 0.36/0.68 (define @t186 () (@list @t185)) % 0.36/0.68 (define @t187 () (not @t133)) % 0.36/0.68 (define @t188 () (= @t177 @t187)) % 0.36/0.68 (define @t189 () (or @t184 @t140 @t188)) % 0.36/0.68 (define @t190 () (@list false false false)) % 0.36/0.68 (define @t191 () (@list false false)) % 0.36/0.68 (define @t192 () (not @t136)) % 0.36/0.68 (define @t193 () (tptp.apply @t123 @t131 @t134)) % 0.36/0.68 (define @t194 () (not @t193)) % 0.36/0.68 (define @t195 () (or @t138 @t194 @t192)) % 0.36/0.68 (define @t196 () (@list @t195)) % 0.36/0.68 (define @t197 () (not @t65)) % 0.36/0.68 (define @t198 () (not @t66)) % 0.36/0.68 (define @t199 () (not @t69)) % 0.36/0.68 (define @t200 () (not @t70)) % 0.36/0.68 (define @t201 () (or @t198 @t197 @t64)) % 0.36/0.68 (define @t202 () (or @t200 @t199 @t110)) % 0.36/0.68 (define @t203 () (@list @t122 @t120 @t121)) % 0.36/0.68 (define @t204 () (tptp.surjective @t122 @t120 @t121)) % 0.36/0.68 (define @t205 () (tptp.injective @t122 @t120 @t121)) % 0.36/0.68 (define @t206 () (and @t205 @t204)) % 0.36/0.68 (define @t207 () (= @t164 @t206)) % 0.36/0.68 (define @t208 () (not @t206)) % 0.36/0.68 (define @t209 () (@list @t206)) % 0.36/0.68 (define @t210 () (not (tptp.member @t13 @t121))) % 0.36/0.68 (define @t211 () (forall @t72 (or (not (tptp.member @t63 @t120)) (not (tptp.member @t62 @t120)) @t210 (not (tptp.apply @t122 @t63 @t13)) (not (tptp.apply @t122 @t62 @t13)) @t64))) % 0.36/0.68 (define @t212 () (= @t205 @t211)) % 0.36/0.68 (define @t213 () (not (tptp.member @t11 @t120))) % 0.36/0.68 (define @t214 () (forall @t80 (or @t213 (not (tptp.apply @t122 @t11 @t131))))) % 0.36/0.68 (define @t215 () (@quantifiers_skolemize @t214 0)) % 0.36/0.68 (define @t216 () (not (forall @t80 (or (not @t78) (not @t77))))) % 0.36/0.68 (define @t217 () (forall @t80 (not @t79))) % 0.36/0.68 (define @t218 () (not @t217)) % 0.36/0.68 (define @t219 () (forall @t16 (or @t210 (not (forall @t80 (or @t213 (not (tptp.apply @t122 @t11 @t13)))))))) % 0.36/0.68 (define @t220 () (= @t204 @t219)) % 0.36/0.68 (define @t221 () (not @t214)) % 0.36/0.68 (define @t222 () (or @t184 @t221)) % 0.36/0.68 (define @t223 () (tptp.apply @t122 @t215 @t131)) % 0.36/0.68 (define @t224 () (not @t223)) % 0.36/0.68 (define @t225 () (tptp.member @t215 @t120)) % 0.36/0.68 (define @t226 () (not @t225)) % 0.36/0.68 (define @t227 () (or @t226 @t224)) % 0.36/0.68 (define @t228 () (@list @t227)) % 0.36/0.68 (define @t229 () (tptp.apply @t122 @t134 @t131)) % 0.36/0.68 (define @t230 () (or @t138 @t184 (= @t229 @t193))) % 0.36/0.68 (define @t231 () (= @t193 @t229)) % 0.36/0.68 (define @t232 () (or @t138 @t184 @t231)) % 0.36/0.68 (define @t233 () (= @t134 @t215)) % 0.36/0.68 (define @t234 () (not @t229)) % 0.36/0.68 (define @t235 () (or @t138 @t226 @t184 @t234 @t224 @t233)) % 0.36/0.68 (define @t236 () (@list false false false false false false)) % 0.36/0.68 (define @t237 () (not @t21)) % 0.36/0.68 (define @t238 () (or @t156 @t237 @t19)) % 0.36/0.68 (define @t239 () (not (forall @t16 (or @t110 @t148)))) % 0.36/0.68 (define @t240 () (forall @t16 (not @t32))) % 0.36/0.68 (define @t241 () (not @t240)) % 0.36/0.68 (define @t242 () (@list @t124 @t119 @t120)) % 0.36/0.68 (define @t243 () (not (tptp.member @t2 @t119))) % 0.36/0.68 (define @t244 () (forall @t28 (or @t243 (not (tptp.member @t18 @t120)) (not (tptp.member @t17 @t120)) (not (tptp.apply @t124 @t2 @t18)) (not (tptp.apply @t124 @t2 @t17)) @t19))) % 0.36/0.68 (define @t245 () (forall @t6 (or @t243 (not (forall @t16 (or @t132 (not (tptp.apply @t124 @t2 @t13)))))))) % 0.36/0.68 (define @t246 () (and @t245 @t244)) % 0.36/0.68 (define @t247 () (= @t168 @t246)) % 0.36/0.68 (define @t248 () (not @t246)) % 0.36/0.68 (define @t249 () (@list @t246)) % 0.36/0.68 (define @t250 () (forall @t16 (or @t132 (not (tptp.apply @t124 @t130 @t13))))) % 0.36/0.68 (define @t251 () (@quantifiers_skolemize @t250 0)) % 0.36/0.68 (define @t252 () (tptp.apply @t124 @t130 @t215)) % 0.36/0.68 (define @t253 () (not @t250)) % 0.36/0.68 (define @t254 () (or @t140 @t253)) % 0.36/0.68 (define @t255 () (tptp.apply @t124 @t130 @t251)) % 0.36/0.68 (define @t256 () (not @t255)) % 0.36/0.68 (define @t257 () (tptp.member @t251 @t120)) % 0.36/0.68 (define @t258 () (not @t257)) % 0.36/0.68 (define @t259 () (or @t258 @t256)) % 0.36/0.68 (define @t260 () (@list @t259)) % 0.36/0.68 (define @t261 () (= @t251 @t215)) % 0.36/0.68 (define @t262 () (not @t252)) % 0.36/0.68 (define @t263 () (or @t140 @t258 @t226 @t256 @t262 @t261)) % 0.36/0.68 (define @t264 () (not (tptp.apply @t124 @t175 @t13))) % 0.36/0.68 (define @t265 () (forall @t16 (or @t132 @t264))) % 0.36/0.68 (define @t266 () (@quantifiers_skolemize @t265 0)) % 0.36/0.68 (define @t267 () (tptp.apply @t122 @t251 @t131)) % 0.36/0.68 (define @t268 () (forall @t16 (or @t132 @t264 (not (tptp.apply @t122 @t13 @t131))))) % 0.36/0.68 (define @t269 () (not @t268)) % 0.36/0.68 (define @t270 () (tptp.apply @t127 @t175 @t131)) % 0.36/0.68 (define @t271 () (= @t270 @t269)) % 0.36/0.68 (define @t272 () (or @t182 @t184 @t271)) % 0.36/0.68 (define @t273 () (or @t182 @t184 (= @t270 @t179))) % 0.36/0.68 (define @t274 () (= @t179 @t270)) % 0.36/0.68 (define @t275 () (or @t182 @t184 @t274)) % 0.36/0.68 (define @t276 () (@quantifiers_skolemize @t268 0)) % 0.36/0.68 (define @t277 () (tptp.apply @t122 @t276 @t131)) % 0.36/0.68 (define @t278 () (not @t277)) % 0.36/0.68 (define @t279 () (tptp.apply @t124 @t175 @t276)) % 0.36/0.68 (define @t280 () (not @t279)) % 0.36/0.68 (define @t281 () (tptp.member @t276 @t120)) % 0.36/0.68 (define @t282 () (not @t281)) % 0.36/0.68 (define @t283 () (or @t282 @t280 @t278)) % 0.36/0.68 (define @t284 () (@list @t283)) % 0.36/0.68 (define @t285 () (tptp.apply @t124 @t175 @t266)) % 0.36/0.68 (define @t286 () (not @t285)) % 0.36/0.68 (define @t287 () (tptp.member @t266 @t120)) % 0.36/0.68 (define @t288 () (not @t287)) % 0.36/0.68 (define @t289 () (or @t182 @t282 @t288 @t280 @t286 (= @t276 @t266))) % 0.36/0.68 (define @t290 () (= @t266 @t276)) % 0.36/0.68 (define @t291 () (or @t182 @t282 @t288 @t280 @t286 @t290)) % 0.36/0.68 (define @t292 () (not @t265)) % 0.36/0.68 (define @t293 () (or @t182 @t292)) % 0.36/0.68 (define @t294 () (or @t288 @t286)) % 0.36/0.68 (define @t295 () (@list @t294)) % 0.36/0.68 (define @t296 () (tptp.apply @t122 @t266 @t131)) % 0.36/0.68 (define @t297 () (= @t266 @t251)) % 0.36/0.68 (define @t298 () (not @t267)) % 0.36/0.68 (define @t299 () (not @t296)) % 0.36/0.68 (define @t300 () (or @t288 @t258 @t184 @t299 @t298 @t297)) % 0.36/0.68 (define @t301 () (tptp.apply @t124 @t130 @t266)) % 0.36/0.68 (define @t302 () (tptp.injective @t124 @t119 @t120)) % 0.36/0.68 (define @t303 () (and @t302 (tptp.surjective @t124 @t119 @t120))) % 0.36/0.68 (define @t304 () (= @t166 @t303)) % 0.36/0.68 (define @t305 () (forall @t72 (or (not (tptp.member @t63 @t119)) (not (tptp.member @t62 @t119)) @t132 (not (tptp.apply @t124 @t63 @t13)) (not (tptp.apply @t124 @t62 @t13)) @t64))) % 0.36/0.68 (define @t306 () (= @t302 @t305)) % 0.36/0.68 (define @t307 () (not @t301)) % 0.36/0.68 (define @t308 () (or @t182 @t140 @t288 @t286 @t307 @t176)) % 0.36/0.68 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 0.36/0.68 (assume @p2 (forall @t8 (= (tptp.equal_set @t4 @t1) (and @t7 (tptp.subset @t1 @t4))))) % 0.36/0.68 (assume @p3 (forall @t9 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.36/0.68 (assume @p4 (forall @t10 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.36/0.68 (assume @p5 (forall @t10 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.36/0.68 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.36/0.68 (assume @p7 (forall (@list @t1 @t4 @t11) (= (tptp.member @t1 (tptp.difference @t11 @t4)) (and (tptp.member @t1 @t11) (not (tptp.member @t1 @t4)))))) % 0.36/0.68 (assume @p8 (forall @t9 (= (tptp.member @t2 (tptp.singleton @t4)) @t12))) % 0.36/0.68 (assume @p9 (forall @t10 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t12 (= @t2 @t1))))) % 0.36/0.68 (assume @p10 (forall @t9 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t16 (and @t15 @t14))))) % 0.36/0.68 (assume @p11 (forall @t9 (= (tptp.member @t2 (tptp.product @t4)) (forall @t16 (=> @t15 @t14))))) % 0.36/0.68 (assume @p12 @t40) % 0.36/0.68 (assume @p13 (forall (@list @t46 @t42 @t20 @t4 @t1 @t47) (= (tptp.compose_predicate @t46 @t42 @t20 @t4 @t1 @t47) (forall (@list @t2 @t41) (=> @t49 (= (tptp.apply @t46 @t2 @t41) @t45)))))) % 0.36/0.68 (assume @p14 @t54) % 0.36/0.68 (assume @p15 @t61) % 0.36/0.68 (assume @p16 (forall (@list @t20 @t4) (= (tptp.identity @t20 @t4) (forall @t6 (=> @t5 (tptp.apply @t20 @t2 @t2)))))) % 0.36/0.68 (assume @p17 @t76) % 0.36/0.68 (assume @p18 @t86) % 0.36/0.68 (assume @p19 (forall @t39 (= @t87 (and @t74 @t84)))) % 0.36/0.68 (assume @p20 (forall (@list @t42 @t20 @t4 @t1) (= (tptp.inverse_predicate @t42 @t20 @t4 @t1) (forall (@list @t2 @t13) (=> @t88 (= @t30 (tptp.apply @t42 @t13 @t2))))))) % 0.36/0.68 (assume @p21 @t92) % 0.36/0.68 (assume @p22 (forall (@list @t20 @t4 @t13) (= (tptp.member @t13 (tptp.image2 @t20 @t4)) @t93))) % 0.36/0.68 (assume @p23 (forall (@list @t20 @t4 @t1 @t13) (= (tptp.member @t13 (tptp.image3 @t20 @t4 @t1)) (and @t31 @t93)))) % 0.36/0.68 (assume @p24 (forall (@list @t20 @t1 @t2) (= (tptp.member @t2 (tptp.inverse_image2 @t20 @t1)) @t33))) % 0.36/0.68 (assume @p25 (forall (@list @t20 @t1 @t4 @t2) (= (tptp.member @t2 (tptp.inverse_image3 @t20 @t1 @t4)) (and @t5 @t33)))) % 0.36/0.68 (assume @p26 (forall @t102 (= (tptp.increasing @t20 @t4 @t98 @t1 @t94) (forall @t101 (=> @t100 @t95))))) % 0.36/0.68 (assume @p27 (forall @t102 (= (tptp.decreasing @t20 @t4 @t98 @t1 @t94) (forall @t101 (=> @t100 (tptp.apply @t94 @t17 @t18)))))) % 0.36/0.68 (assume @p28 (forall @t102 (= (tptp.isomorphism @t20 @t4 @t98 @t1 @t94) (and @t37 @t87 (forall @t101 (=> (and @t70 @t26 @t69 @t25 @t97 @t96) (= @t99 @t95))))))) % 0.36/0.68 (assume @p29 @t109) % 0.36/0.68 (assume @p30 true) % 0.36/0.68 (step @p31 :rule evaluate :args ((= false true))) % 0.36/0.68 (step @p32 :rule aci_norm :args ((= (or (or @t111 @t110) @t90) @t112))) % 0.36/0.68 (step @p33 :rule refl :args (@t90)) % 0.36/0.68 (step @p34 :rule bool-and-de-morgan :args (@t5 @t31 true)) % 0.36/0.68 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or (not @t88) @t90))) % 0.36/0.68 (step @p36 :rule trans :premises (@p35 @p32)) % 0.36/0.68 (step @p37 :rule bool-impl-elim :args (@t88 @t90)) % 0.36/0.68 (step @p38 :rule trans :premises (@p37 @p36)) % 0.36/0.68 (step @p39 :rule cong :premises (@p38) :args (@t92)) % 0.36/0.68 (step @p40 :rule eq_resolve :premises (@p21 @p39)) % 0.36/0.68 (step @p41 :rule eq-symm :args (@t135 @t136)) % 0.36/0.68 (step @p42 :rule refl :args (@t138)) % 0.36/0.68 (step @p43 :rule refl :args (@t140)) % 0.36/0.68 (step @p44 :rule nary_cong :premises (@p43 @p42 @p41) :args (@t141)) % 0.36/0.68 (step @p45 :rule refl :args (@t142)) % 0.36/0.68 (step @p46 :rule cong :premises (@p45 @p44) :args ((=> @t142 @t141))) % 0.36/0.68 (assume-push @p499 @t142) % 0.36/0.68 (step @p48 :rule instantiate :premises (@p40) :args ((@list @t124 @t119 @t120 @t130 @t134))) % 0.36/0.68 (step-pop @p500 :rule scope :premises (@p48)) % 0.36/0.68 (step @p49 :rule process_scope :premises (@p500) :args (@t141)) % 0.36/0.68 (step @p51 :rule eq_resolve :premises (@p49 @p46)) % 0.36/0.68 (step @p52 :rule implies_elim :premises (@p51)) % 0.36/0.68 (step @p53 :rule chain_m_resolution :premises (@p52 @p40) :args (@t144 @t145 @t146)) % 0.36/0.68 (step @p54 :rule aci_norm :args ((= (or (or @t111 @t152) @t151) (or @t111 @t152 @t151)))) % 0.36/0.68 (step @p55 :rule refl :args (@t151)) % 0.36/0.68 (step @p56 :rule bool-and-de-morgan :args (@t5 @t48 true)) % 0.36/0.68 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or (not @t49) @t151))) % 0.36/0.68 (step @p58 :rule trans :premises (@p57 @p54)) % 0.36/0.68 (step @p59 :rule bool-impl-elim :args (@t49 @t151)) % 0.36/0.68 (step @p60 :rule trans :premises (@p59 @p58)) % 0.36/0.68 (step @p61 :rule cong :premises (@p60) :args ((forall @t53 (=> @t49 @t151)))) % 0.36/0.68 (step @p62 :rule eq-symm :args (@t150 @t51)) % 0.36/0.68 (step @p63 :rule refl :args (@t51)) % 0.36/0.68 (step @p64 :rule aci_norm :args ((= (or @t110 (or @t148 @t147)) @t149))) % 0.36/0.68 (step @p65 :rule bool-and-de-morgan :args (@t30 @t43 true)) % 0.36/0.68 (step @p66 :rule refl :args (@t110)) % 0.36/0.68 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or @t110 (not (and @t30 @t43))))) % 0.36/0.68 (step @p68 :rule bool-and-de-morgan :args (@t31 @t30 (and @t43))) % 0.36/0.68 (step @p69 :rule trans :premises (@p68 @p67)) % 0.36/0.68 (step @p70 :rule trans :premises (@p69 @p64)) % 0.36/0.68 (step @p71 :rule cong :premises (@p70) :args (@t153)) % 0.36/0.68 (step @p72 :rule cong :premises (@p71) :args (@t154)) % 0.36/0.68 (step @p73 :rule exists-elim :args ((= @t45 @t154))) % 0.36/0.68 (step @p74 :rule trans :premises (@p73 @p72)) % 0.36/0.68 (step @p75 :rule cong :premises (@p74 @p63) :args ((= @t45 @t51))) % 0.36/0.68 (step @p76 :rule trans :premises (@p75 @p62)) % 0.36/0.68 (step @p77 :rule eq-symm :args (@t51 @t45)) % 0.36/0.68 (step @p78 :rule trans :premises (@p77 @p76)) % 0.36/0.68 (step @p79 :rule refl :args (@t49)) % 0.36/0.68 (step @p80 :rule cong :premises (@p79 @p78) :args (@t52)) % 0.36/0.68 (step @p81 :rule cong :premises (@p80) :args (@t54)) % 0.36/0.68 (step @p82 :rule trans :premises (@p81 @p61)) % 0.36/0.68 (step @p83 :rule eq_resolve :premises (@p14 @p82)) % 0.36/0.68 (step @p84 :rule instantiate :premises (@p83) :args ((@list @t125 @t123 @t121 @t120 @t119 @t131 @t130))) % 0.36/0.68 (step @p85 :rule aci_norm :args ((= (or @t160 @t159) (or @t111 @t158 @t157 @t156 @t155 @t19)))) % 0.36/0.68 (step @p86 :rule aci_norm :args ((= (or (or @t156 @t155) @t19) @t159))) % 0.36/0.68 (step @p87 :rule refl :args (@t19)) % 0.36/0.68 (step @p88 :rule bool-and-de-morgan :args (@t22 @t55 true)) % 0.36/0.68 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or (not @t56) @t19))) % 0.36/0.68 (step @p90 :rule trans :premises (@p89 @p86)) % 0.36/0.68 (step @p91 :rule bool-impl-elim :args (@t56 @t19)) % 0.36/0.68 (step @p92 :rule trans :premises (@p91 @p90)) % 0.36/0.68 (step @p93 :rule aci_norm :args ((= (or @t111 (or @t158 @t157)) @t160))) % 0.36/0.68 (step @p94 :rule bool-and-de-morgan :args (@t26 @t25 true)) % 0.36/0.68 (step @p95 :rule refl :args (@t111)) % 0.36/0.68 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t111 (not (and @t26 @t25))))) % 0.36/0.68 (step @p97 :rule bool-and-de-morgan :args (@t5 @t26 (and @t25))) % 0.36/0.68 (step @p98 :rule trans :premises (@p97 @p96)) % 0.36/0.68 (step @p99 :rule trans :premises (@p98 @p93)) % 0.36/0.68 (step @p100 :rule nary_cong :premises (@p99 @p92) :args ((or @t161 @t57))) % 0.36/0.68 (step @p101 :rule trans :premises (@p100 @p85)) % 0.36/0.68 (step @p102 :rule bool-impl-elim :args (@t27 @t57)) % 0.36/0.68 (step @p103 :rule trans :premises (@p102 @p101)) % 0.36/0.68 (step @p104 :rule cong :premises (@p103) :args (@t58)) % 0.36/0.68 (step @p105 :rule refl :args (@t59)) % 0.36/0.68 (step @p106 :rule cong :premises (@p105 @p104) :args (@t60)) % 0.36/0.68 (step @p107 :rule cong :premises (@p106) :args (@t61)) % 0.36/0.68 (step @p108 :rule eq_resolve :premises (@p15 @p107)) % 0.36/0.68 (step @p109 :rule instantiate :premises (@p108) :args ((@list @t128 @t126 @t121 @t119))) % 0.36/0.68 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