%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET729+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 : n016.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 08:48:31 AM UTC 2026 % Result : Theorem 33.95s 34.55s % Output : Proof 33.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET729+4 : TPTP v9.2.1. Bugfixed v2.2.1. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n016.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 16:10:54 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 33.95/34.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.95/34.55 --- Run --no-e-matching --full-saturate-quant at 6... % 33.95/34.55 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.95/34.55 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.95/34.55 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.95/34.55 % SZS status Theorem % 33.95/34.55 % SZS output start Proof % 33.95/34.55 ( % 33.95/34.55 (declare-sort $$unsorted 0) % 33.95/34.55 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 33.95/34.55 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.55 (declare-const tptp.inverse_function (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.95/34.55 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 33.95/34.55 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 33.95/34.55 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 33.95/34.55 (declare-const tptp.empty_set $$unsorted) % 33.95/34.55 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 33.95/34.55 (declare-const tptp.equal_maps (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.55 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 33.95/34.55 (declare-const tptp.one_to_one (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.55 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 33.95/34.55 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 33.95/34.55 (declare-const tptp.image2 (-> $$unsorted $$unsorted $$unsorted)) % 33.95/34.55 (declare-const tptp.increasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.55 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 33.95/34.55 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 33.95/34.55 (declare-const tptp.surjective (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.55 (declare-const tptp.isomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.55 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.55 (declare-const tptp.compose_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.55 (declare-const tptp.identity (-> $$unsorted $$unsorted Bool)) % 33.95/34.55 (declare-const tptp.injective (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.55 (declare-const tptp.compose_function (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.95/34.55 (declare-const tptp.inverse_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.55 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 33.95/34.55 (declare-const tptp.image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.95/34.55 (declare-const tptp.inverse_image2 (-> $$unsorted $$unsorted $$unsorted)) % 33.95/34.55 (declare-const tptp.decreasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.55 (declare-const tptp.inverse_image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.95/34.55 (define @t1 () (@var "B" $$unsorted)) % 33.95/34.55 (define @t2 () (@var "X" $$unsorted)) % 33.95/34.55 (define @t3 () (tptp.member @t2 @t1)) % 33.95/34.55 (define @t4 () (@var "A" $$unsorted)) % 33.95/34.55 (define @t5 () (tptp.member @t2 @t4)) % 33.95/34.55 (define @t6 () (@list @t2)) % 33.95/34.55 (define @t7 () (tptp.subset @t4 @t1)) % 33.95/34.55 (define @t8 () (@list @t4 @t1)) % 33.95/34.55 (define @t9 () (@list @t2 @t4)) % 33.95/34.55 (define @t10 () (@list @t2 @t4 @t1)) % 33.95/34.55 (define @t11 () (@var "E" $$unsorted)) % 33.95/34.55 (define @t12 () (= @t2 @t4)) % 33.95/34.55 (define @t13 () (@var "Y" $$unsorted)) % 33.95/34.55 (define @t14 () (tptp.member @t2 @t13)) % 33.95/34.55 (define @t15 () (tptp.member @t13 @t4)) % 33.95/34.55 (define @t16 () (@list @t13)) % 33.95/34.55 (define @t17 () (@var "Y2" $$unsorted)) % 33.95/34.55 (define @t18 () (@var "Y1" $$unsorted)) % 33.95/34.55 (define @t19 () (= @t18 @t17)) % 33.95/34.55 (define @t20 () (@var "F" $$unsorted)) % 33.95/34.55 (define @t21 () (tptp.apply @t20 @t2 @t17)) % 33.95/34.55 (define @t22 () (tptp.apply @t20 @t2 @t18)) % 33.95/34.55 (define @t23 () (and @t22 @t21)) % 33.95/34.55 (define @t24 () (=> @t23 @t19)) % 33.95/34.55 (define @t25 () (tptp.member @t17 @t1)) % 33.95/34.55 (define @t26 () (tptp.member @t18 @t1)) % 33.95/34.55 (define @t27 () (and @t5 @t26 @t25)) % 33.95/34.55 (define @t28 () (@list @t2 @t18 @t17)) % 33.95/34.55 (define @t29 () (forall @t28 (=> @t27 @t24))) % 33.95/34.55 (define @t30 () (tptp.apply @t20 @t2 @t13)) % 33.95/34.55 (define @t31 () (tptp.member @t13 @t1)) % 33.95/34.55 (define @t32 () (and @t31 @t30)) % 33.95/34.55 (define @t33 () (exists @t16 @t32)) % 33.95/34.55 (define @t34 () (=> @t5 @t33)) % 33.95/34.55 (define @t35 () (forall @t6 @t34)) % 33.95/34.55 (define @t36 () (and @t35 @t29)) % 33.95/34.55 (define @t37 () (tptp.maps @t20 @t4 @t1)) % 33.95/34.55 (define @t38 () (= @t37 @t36)) % 33.95/34.55 (define @t39 () (@list @t20 @t4 @t1)) % 33.95/34.55 (define @t40 () (forall @t39 @t38)) % 33.95/34.55 (define @t41 () (@var "Z" $$unsorted)) % 33.95/34.55 (define @t42 () (@var "G" $$unsorted)) % 33.95/34.55 (define @t43 () (tptp.apply @t42 @t13 @t41)) % 33.95/34.55 (define @t44 () (and @t31 @t30 @t43)) % 33.95/34.55 (define @t45 () (exists @t16 @t44)) % 33.95/34.55 (define @t46 () (@var "H" $$unsorted)) % 33.95/34.55 (define @t47 () (@var "C" $$unsorted)) % 33.95/34.55 (define @t48 () (tptp.member @t41 @t47)) % 33.95/34.55 (define @t49 () (and @t5 @t48)) % 33.95/34.55 (define @t50 () (tptp.apply (tptp.compose_function @t42 @t20 @t4 @t1 @t47) @t2 @t41)) % 33.95/34.55 (define @t51 () (=> @t49 (= @t50 @t45))) % 33.95/34.55 (define @t52 () (@list @t42 @t20 @t4 @t1 @t47 @t2 @t41)) % 33.95/34.55 (define @t53 () (forall @t52 @t51)) % 33.95/34.55 (define @t54 () (tptp.apply @t20 @t2 @t2)) % 33.95/34.55 (define @t55 () (forall @t6 (=> @t5 @t54))) % 33.95/34.55 (define @t56 () (tptp.identity @t20 @t4)) % 33.95/34.55 (define @t57 () (= @t56 @t55)) % 33.95/34.55 (define @t58 () (@list @t20 @t4)) % 33.95/34.55 (define @t59 () (forall @t58 @t57)) % 33.95/34.55 (define @t60 () (@var "X2" $$unsorted)) % 33.95/34.55 (define @t61 () (@var "X1" $$unsorted)) % 33.95/34.55 (define @t62 () (= @t61 @t60)) % 33.95/34.55 (define @t63 () (tptp.apply @t20 @t60 @t13)) % 33.95/34.55 (define @t64 () (tptp.apply @t20 @t61 @t13)) % 33.95/34.55 (define @t65 () (and @t64 @t63)) % 33.95/34.55 (define @t66 () (=> @t65 @t62)) % 33.95/34.55 (define @t67 () (tptp.member @t60 @t4)) % 33.95/34.55 (define @t68 () (tptp.member @t61 @t4)) % 33.95/34.55 (define @t69 () (and @t68 @t67 @t31)) % 33.95/34.55 (define @t70 () (@list @t61 @t60 @t13)) % 33.95/34.55 (define @t71 () (forall @t70 (=> @t69 @t66))) % 33.95/34.55 (define @t72 () (tptp.injective @t20 @t4 @t1)) % 33.95/34.55 (define @t73 () (= @t72 @t71)) % 33.95/34.55 (define @t74 () (forall @t39 @t73)) % 33.95/34.55 (define @t75 () (tptp.apply @t20 @t11 @t13)) % 33.95/34.55 (define @t76 () (tptp.member @t11 @t4)) % 33.95/34.55 (define @t77 () (and @t76 @t75)) % 33.95/34.55 (define @t78 () (@list @t11)) % 33.95/34.55 (define @t79 () (exists @t78 @t77)) % 33.95/34.55 (define @t80 () (=> @t31 @t79)) % 33.95/34.55 (define @t81 () (forall @t16 @t80)) % 33.95/34.55 (define @t82 () (tptp.surjective @t20 @t4 @t1)) % 33.95/34.55 (define @t83 () (= @t82 @t81)) % 33.95/34.55 (define @t84 () (forall @t39 @t83)) % 33.95/34.55 (define @t85 () (tptp.one_to_one @t20 @t4 @t1)) % 33.95/34.55 (define @t86 () (= @t30 (tptp.apply @t42 @t13 @t2))) % 33.95/34.55 (define @t87 () (and @t5 @t31)) % 33.95/34.55 (define @t88 () (@list @t2 @t13)) % 33.95/34.55 (define @t89 () (forall @t88 (=> @t87 @t86))) % 33.95/34.55 (define @t90 () (tptp.inverse_predicate @t42 @t20 @t4 @t1)) % 33.95/34.55 (define @t91 () (= @t90 @t89)) % 33.95/34.55 (define @t92 () (forall (@list @t42 @t20 @t4 @t1) @t91)) % 33.95/34.55 (define @t93 () (exists @t6 (and @t5 @t30))) % 33.95/34.55 (define @t94 () (@var "S" $$unsorted)) % 33.95/34.55 (define @t95 () (tptp.apply @t94 @t18 @t17)) % 33.95/34.55 (define @t96 () (tptp.apply @t20 @t60 @t17)) % 33.95/34.55 (define @t97 () (tptp.apply @t20 @t61 @t18)) % 33.95/34.55 (define @t98 () (@var "R" $$unsorted)) % 33.95/34.55 (define @t99 () (tptp.apply @t98 @t61 @t60)) % 33.95/34.55 (define @t100 () (and @t68 @t26 @t67 @t25 @t99 @t97 @t96)) % 33.95/34.55 (define @t101 () (@list @t61 @t18 @t60 @t17)) % 33.95/34.55 (define @t102 () (@list @t20 @t4 @t98 @t1 @t94)) % 33.95/34.55 (define @t103 () (= (and (tptp.one_to_one @t20 @t4 @t4) (tptp.inverse_predicate @t20 @t20 @t4 @t4)) (tptp.identity (tptp.compose_function @t20 @t20 @t4 @t4 @t4) @t4))) % 33.95/34.55 (define @t104 () (tptp.maps @t20 @t4 @t4)) % 33.95/34.55 (define @t105 () (forall @t58 (=> @t104 @t103))) % 33.95/34.55 (define @t106 () (not @t105)) % 33.95/34.55 (define @t107 () (not @t21)) % 33.95/34.55 (define @t108 () (not @t22)) % 33.95/34.55 (define @t109 () (not @t25)) % 33.95/34.55 (define @t110 () (not @t26)) % 33.95/34.55 (define @t111 () (not @t5)) % 33.95/34.55 (define @t112 () (or @t108 @t107 @t19)) % 33.95/34.55 (define @t113 () (or @t111 @t110 @t109)) % 33.95/34.55 (define @t114 () (not @t30)) % 33.95/34.55 (define @t115 () (not @t31)) % 33.95/34.55 (define @t116 () (not (forall @t16 (or @t115 @t114)))) % 33.95/34.55 (define @t117 () (forall @t16 (not @t32))) % 33.95/34.55 (define @t118 () (not @t117)) % 33.95/34.55 (define @t119 () (forall @t58 (or (not @t104) @t103))) % 33.95/34.55 (define @t120 () (@quantifiers_skolemize @t119 1)) % 33.95/34.55 (define @t121 () (@quantifiers_skolemize @t119 0)) % 33.95/34.55 (define @t122 () (@list @t121 @t120 @t120)) % 33.95/34.55 (define @t123 () (tptp.maps @t121 @t120 @t120)) % 33.95/34.55 (define @t124 () (tptp.compose_function @t121 @t121 @t120 @t120 @t120)) % 33.95/34.55 (define @t125 () (tptp.identity @t124 @t120)) % 33.95/34.55 (define @t126 () (tptp.inverse_predicate @t121 @t121 @t120 @t120)) % 33.95/34.55 (define @t127 () (tptp.one_to_one @t121 @t120 @t120)) % 33.95/34.55 (define @t128 () (and @t127 @t126)) % 33.95/34.55 (define @t129 () (= @t128 @t125)) % 33.95/34.55 (define @t130 () (not @t123)) % 33.95/34.55 (define @t131 () (or @t130 @t129)) % 33.95/34.55 (define @t132 () (@list true)) % 33.95/34.55 (define @t133 () (@list @t131)) % 33.95/34.55 (define @t134 () (not (tptp.member @t2 @t120))) % 33.95/34.55 (define @t135 () (forall @t28 (or @t134 (not (tptp.member @t18 @t120)) (not (tptp.member @t17 @t120)) (not (tptp.apply @t121 @t2 @t18)) (not (tptp.apply @t121 @t2 @t17)) @t19))) % 33.95/34.55 (define @t136 () (tptp.apply @t121 @t2 @t13)) % 33.95/34.55 (define @t137 () (not (tptp.member @t13 @t120))) % 33.95/34.55 (define @t138 () (forall @t6 (or @t134 (not (forall @t16 (or @t137 (not @t136))))))) % 33.95/34.55 (define @t139 () (and @t138 @t135)) % 33.95/34.55 (define @t140 () (= @t123 @t139)) % 33.95/34.55 (define @t141 () (@list false false)) % 33.95/34.55 (define @t142 () (not @t139)) % 33.95/34.55 (define @t143 () (@list false)) % 33.95/34.55 (define @t144 () (@list @t139)) % 33.95/34.55 (define @t145 () (not (tptp.member @t11 @t120))) % 33.95/34.55 (define @t146 () (forall @t16 (or @t137 (not (forall @t78 (or @t145 (not (tptp.apply @t121 @t11 @t13)))))))) % 33.95/34.55 (define @t147 () (@quantifiers_skolemize @t146 0)) % 33.95/34.55 (define @t148 () (not (forall @t78 (or (not @t76) (not @t75))))) % 33.95/34.55 (define @t149 () (forall @t78 (not @t77))) % 33.95/34.55 (define @t150 () (not @t149)) % 33.95/34.55 (define @t151 () (not @t63)) % 33.95/34.55 (define @t152 () (not @t64)) % 33.95/34.55 (define @t153 () (not @t67)) % 33.95/34.55 (define @t154 () (not @t68)) % 33.95/34.55 (define @t155 () (or @t152 @t151 @t62)) % 33.95/34.55 (define @t156 () (or @t154 @t153 @t115)) % 33.95/34.55 (define @t157 () (forall @t70 (or (not (tptp.member @t61 @t120)) (not (tptp.member @t60 @t120)) @t137 (not (tptp.apply @t121 @t61 @t13)) (not (tptp.apply @t121 @t60 @t13)) @t62))) % 33.95/34.55 (define @t158 () (@quantifiers_skolemize @t157 0)) % 33.95/34.55 (define @t159 () (tptp.member @t158 @t120)) % 33.95/34.55 (define @t160 () (@quantifiers_skolemize @t157 1)) % 33.95/34.55 (define @t161 () (= @t158 @t160)) % 33.95/34.55 (define @t162 () (@quantifiers_skolemize @t157 2)) % 33.95/34.55 (define @t163 () (tptp.apply @t121 @t160 @t162)) % 33.95/34.55 (define @t164 () (not @t163)) % 33.95/34.55 (define @t165 () (tptp.apply @t121 @t158 @t162)) % 33.95/34.55 (define @t166 () (not @t165)) % 33.95/34.55 (define @t167 () (tptp.member @t162 @t120)) % 33.95/34.55 (define @t168 () (not @t167)) % 33.95/34.55 (define @t169 () (tptp.member @t160 @t120)) % 33.95/34.55 (define @t170 () (not @t169)) % 33.95/34.55 (define @t171 () (not @t159)) % 33.95/34.55 (define @t172 () (or @t171 @t170 @t168 @t166 @t164 @t161)) % 33.95/34.55 (define @t173 () (forall @t88 (or @t134 @t137 (= @t136 (tptp.apply @t121 @t13 @t2))))) % 33.95/34.55 (define @t174 () (= @t126 @t173)) % 33.95/34.55 (define @t175 () (not @t174)) % 33.95/34.55 (define @t176 () (not @t173)) % 33.95/34.55 (define @t177 () (@quantifiers_skolemize @t173 0)) % 33.95/34.55 (define @t178 () (@quantifiers_skolemize @t173 1)) % 33.95/34.55 (define @t179 () (tptp.apply @t121 @t178 @t177)) % 33.95/34.55 (define @t180 () (tptp.apply @t121 @t177 @t178)) % 33.95/34.55 (define @t181 () (= @t180 @t179)) % 33.95/34.55 (define @t182 () (tptp.member @t178 @t120)) % 33.95/34.55 (define @t183 () (not @t182)) % 33.95/34.55 (define @t184 () (tptp.member @t177 @t120)) % 33.95/34.55 (define @t185 () (not @t184)) % 33.95/34.55 (define @t186 () (or @t185 @t183 @t181)) % 33.95/34.55 (define @t187 () (not @t186)) % 33.95/34.55 (define @t188 () (forall @t6 (or @t134 (tptp.apply @t124 @t2 @t2)))) % 33.95/34.55 (define @t189 () (= @t125 @t188)) % 33.95/34.55 (define @t190 () (not @t189)) % 33.95/34.55 (define @t191 () (tptp.apply @t124 @t177 @t177)) % 33.95/34.55 (define @t192 () (or @t185 @t191)) % 33.95/34.55 (define @t193 () (@list @t178)) % 33.95/34.55 (define @t194 () (tptp.apply @t124 @t178 @t178)) % 33.95/34.55 (define @t195 () (or @t183 @t194)) % 33.95/34.55 (define @t196 () (not @t43)) % 33.95/34.55 (define @t197 () (or @t115 @t114 @t196)) % 33.95/34.55 (define @t198 () (not (forall @t16 @t197))) % 33.95/34.55 (define @t199 () (= @t50 @t198)) % 33.95/34.55 (define @t200 () (not @t48)) % 33.95/34.55 (define @t201 () (forall @t16 (not @t44))) % 33.95/34.55 (define @t202 () (not @t201)) % 33.95/34.55 (define @t203 () (forall @t16 (or @t137 (not (tptp.apply @t121 @t177 @t13)) (not (tptp.apply @t121 @t13 @t177))))) % 33.95/34.55 (define @t204 () (not @t203)) % 33.95/34.55 (define @t205 () (= @t191 @t204)) % 33.95/34.55 (define @t206 () (or @t185 @t185 @t205)) % 33.95/34.55 (define @t207 () (not (tptp.apply @t121 @t178 @t13))) % 33.95/34.55 (define @t208 () (forall @t16 (or @t137 @t207))) % 33.95/34.55 (define @t209 () (not @t208)) % 33.95/34.55 (define @t210 () (or @t183 @t209)) % 33.95/34.55 (define @t211 () (forall @t16 (or @t137 @t207 (not (tptp.apply @t121 @t13 @t178))))) % 33.95/34.55 (define @t212 () (not @t211)) % 33.95/34.55 (define @t213 () (= @t194 @t212)) % 33.95/34.55 (define @t214 () (or @t183 @t183 @t213)) % 33.95/34.55 (define @t215 () (@quantifiers_skolemize @t208 0)) % 33.95/34.55 (define @t216 () (tptp.apply @t121 @t178 @t215)) % 33.95/34.55 (define @t217 () (not @t216)) % 33.95/34.55 (define @t218 () (tptp.member @t215 @t120)) % 33.95/34.55 (define @t219 () (not @t218)) % 33.95/34.55 (define @t220 () (or @t219 @t217)) % 33.95/34.55 (define @t221 () (not @t220)) % 33.95/34.55 (define @t222 () (@quantifiers_skolemize @t203 0)) % 33.95/34.55 (define @t223 () (tptp.apply @t121 @t222 @t177)) % 33.95/34.55 (define @t224 () (not @t223)) % 33.95/34.55 (define @t225 () (tptp.apply @t121 @t177 @t222)) % 33.95/34.55 (define @t226 () (not @t225)) % 33.95/34.55 (define @t227 () (tptp.member @t222 @t120)) % 33.95/34.55 (define @t228 () (not @t227)) % 33.95/34.55 (define @t229 () (or @t228 @t226 @t224)) % 33.95/34.55 (define @t230 () (not @t229)) % 33.95/34.55 (define @t231 () (@quantifiers_skolemize @t211 0)) % 33.95/34.55 (define @t232 () (tptp.apply @t121 @t231 @t178)) % 33.95/34.55 (define @t233 () (not @t232)) % 33.95/34.55 (define @t234 () (tptp.apply @t121 @t178 @t231)) % 33.95/34.55 (define @t235 () (not @t234)) % 33.95/34.55 (define @t236 () (tptp.member @t231 @t120)) % 33.95/34.55 (define @t237 () (not @t236)) % 33.95/34.55 (define @t238 () (or @t237 @t235 @t233)) % 33.95/34.55 (define @t239 () (not @t238)) % 33.95/34.55 (define @t240 () (= @t178 @t222)) % 33.95/34.55 (define @t241 () (not @t180)) % 33.95/34.55 (define @t242 () (or @t185 @t183 @t228 @t241 @t226 @t240)) % 33.95/34.55 (define @t243 () (not @t240)) % 33.95/34.55 (define @t244 () (not @t179)) % 33.95/34.55 (define @t245 () (= true false)) % 33.95/34.55 (define @t246 () (and @t240 @t223 @t244)) % 33.95/34.55 (define @t247 () (= @t215 @t231)) % 33.95/34.55 (define @t248 () (or @t183 @t219 @t237 @t217 @t235 @t247)) % 33.95/34.55 (define @t249 () (= @t177 @t215)) % 33.95/34.55 (define @t250 () (or @t183 @t185 @t219 @t244 @t217 @t249)) % 33.95/34.55 (define @t251 () (not @t249)) % 33.95/34.55 (define @t252 () (not @t247)) % 33.95/34.55 (define @t253 () (and @t241 @t249 @t247 @t232)) % 33.95/34.55 (define @t254 () (not @t126)) % 33.95/34.55 (define @t255 () (tptp.apply @t121 @t162 @t158)) % 33.95/34.55 (define @t256 () (= @t165 @t255)) % 33.95/34.55 (define @t257 () (or @t171 @t168 @t256)) % 33.95/34.55 (define @t258 () (@list @t173)) % 33.95/34.55 (define @t259 () (tptp.apply @t121 @t162 @t160)) % 33.95/34.55 (define @t260 () (= @t163 @t259)) % 33.95/34.55 (define @t261 () (or @t170 @t168 @t260)) % 33.95/34.55 (define @t262 () (not @t259)) % 33.95/34.55 (define @t263 () (not @t255)) % 33.95/34.55 (define @t264 () (or @t168 @t171 @t170 @t263 @t262 @t161)) % 33.95/34.55 (define @t265 () (not @t172)) % 33.95/34.55 (define @t266 () (not @t157)) % 33.95/34.55 (define @t267 () (tptp.injective @t121 @t120 @t120)) % 33.95/34.55 (define @t268 () (= @t267 @t157)) % 33.95/34.55 (define @t269 () (@quantifiers_skolemize @t188 0)) % 33.95/34.55 (define @t270 () (not (tptp.apply @t121 @t269 @t13))) % 33.95/34.55 (define @t271 () (forall @t16 (or @t137 @t270))) % 33.95/34.55 (define @t272 () (@quantifiers_skolemize @t271 0)) % 33.95/34.55 (define @t273 () (tptp.apply @t121 @t272 @t269)) % 33.95/34.55 (define @t274 () (tptp.apply @t121 @t269 @t272)) % 33.95/34.55 (define @t275 () (= @t274 @t273)) % 33.95/34.55 (define @t276 () (tptp.member @t272 @t120)) % 33.95/34.55 (define @t277 () (not @t276)) % 33.95/34.55 (define @t278 () (tptp.member @t269 @t120)) % 33.95/34.55 (define @t279 () (not @t278)) % 33.95/34.55 (define @t280 () (or @t279 @t277 @t275)) % 33.95/34.55 (define @t281 () (not @t188)) % 33.95/34.55 (define @t282 () (tptp.apply @t124 @t269 @t269)) % 33.95/34.55 (define @t283 () (or @t279 @t282)) % 33.95/34.55 (define @t284 () (not @t283)) % 33.95/34.55 (define @t285 () (forall @t16 (or @t137 @t270 (not (tptp.apply @t121 @t13 @t269))))) % 33.95/34.55 (define @t286 () (not @t285)) % 33.95/34.55 (define @t287 () (= @t282 @t286)) % 33.95/34.55 (define @t288 () (or @t279 @t279 @t287)) % 33.95/34.55 (define @t289 () (not @t271)) % 33.95/34.55 (define @t290 () (or @t279 @t289)) % 33.95/34.55 (define @t291 () (not @t287)) % 33.95/34.55 (define @t292 () (not @t274)) % 33.95/34.55 (define @t293 () (or @t277 @t292)) % 33.95/34.55 (define @t294 () (not @t293)) % 33.95/34.55 (define @t295 () (not @t273)) % 33.95/34.55 (define @t296 () (or @t277 @t292 @t295)) % 33.95/34.55 (define @t297 () (not @t127)) % 33.95/34.55 (define @t298 () (tptp.surjective @t121 @t120 @t120)) % 33.95/34.55 (define @t299 () (and @t267 @t298)) % 33.95/34.55 (define @t300 () (= @t127 @t299)) % 33.95/34.55 (define @t301 () (not @t299)) % 33.95/34.55 (define @t302 () (@list true false)) % 33.95/34.55 (define @t303 () (= @t298 @t146)) % 33.95/34.55 (define @t304 () (not @t146)) % 33.95/34.55 (define @t305 () (forall @t78 (or @t145 (not (tptp.apply @t121 @t11 @t147))))) % 33.95/34.55 (define @t306 () (not @t305)) % 33.95/34.55 (define @t307 () (tptp.member @t147 @t120)) % 33.95/34.55 (define @t308 () (not @t307)) % 33.95/34.55 (define @t309 () (or @t308 @t306)) % 33.95/34.55 (define @t310 () (not @t309)) % 33.95/34.55 (define @t311 () (@list @t309)) % 33.95/34.55 (define @t312 () (forall @t16 (or @t137 (not (tptp.apply @t121 @t147 @t13))))) % 33.95/34.55 (define @t313 () (not @t312)) % 33.95/34.55 (define @t314 () (or @t308 @t313)) % 33.95/34.55 (define @t315 () (@quantifiers_skolemize @t312 0)) % 33.95/34.55 (define @t316 () (tptp.apply @t121 @t147 @t315)) % 33.95/34.55 (define @t317 () (not @t316)) % 33.95/34.55 (define @t318 () (tptp.member @t315 @t120)) % 33.95/34.55 (define @t319 () (not @t318)) % 33.95/34.55 (define @t320 () (or @t319 @t317)) % 33.95/34.55 (define @t321 () (not @t320)) % 33.95/34.55 (define @t322 () (@list @t320)) % 33.95/34.55 (define @t323 () (tptp.apply @t121 @t315 @t147)) % 33.95/34.55 (define @t324 () (= @t316 @t323)) % 33.95/34.55 (define @t325 () (or @t308 @t319 @t324)) % 33.95/34.55 (define @t326 () (not @t323)) % 33.95/34.55 (define @t327 () (or @t319 @t326)) % 33.95/34.55 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 33.95/34.55 (assume @p2 (forall @t8 (= (tptp.equal_set @t4 @t1) (and @t7 (tptp.subset @t1 @t4))))) % 33.95/34.55 (assume @p3 (forall @t9 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 33.95/34.55 (assume @p4 (forall @t10 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 33.95/34.55 (assume @p5 (forall @t10 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 33.95/34.55 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 33.95/34.55 (assume @p7 (forall (@list @t1 @t4 @t11) (= (tptp.member @t1 (tptp.difference @t11 @t4)) (and (tptp.member @t1 @t11) (not (tptp.member @t1 @t4)))))) % 33.95/34.55 (assume @p8 (forall @t9 (= (tptp.member @t2 (tptp.singleton @t4)) @t12))) % 33.95/34.55 (assume @p9 (forall @t10 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t12 (= @t2 @t1))))) % 33.95/34.55 (assume @p10 (forall @t9 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t16 (and @t15 @t14))))) % 33.95/34.55 (assume @p11 (forall @t9 (= (tptp.member @t2 (tptp.product @t4)) (forall @t16 (=> @t15 @t14))))) % 33.95/34.55 (assume @p12 @t40) % 33.95/34.55 (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)))))) % 33.95/34.55 (assume @p14 @t53) % 33.95/34.55 (assume @p15 (forall (@list @t20 @t42 @t4 @t1) (= (tptp.equal_maps @t20 @t42 @t4 @t1) (forall @t28 (=> @t27 (=> (and @t22 (tptp.apply @t42 @t2 @t17)) @t19)))))) % 33.95/34.55 (assume @p16 @t59) % 33.95/34.55 (assume @p17 @t74) % 33.95/34.55 (assume @p18 @t84) % 33.95/34.55 (assume @p19 (forall @t39 (= @t85 (and @t72 @t82)))) % 33.95/34.55 (assume @p20 @t92) % 33.95/34.55 (assume @p21 (forall (@list @t20 @t4 @t1 @t2 @t13) (=> @t87 (= @t30 (tptp.apply (tptp.inverse_function @t20 @t4 @t1) @t13 @t2))))) % 33.95/34.55 (assume @p22 (forall (@list @t20 @t4 @t13) (= (tptp.member @t13 (tptp.image2 @t20 @t4)) @t93))) % 33.95/34.55 (assume @p23 (forall (@list @t20 @t4 @t1 @t13) (= (tptp.member @t13 (tptp.image3 @t20 @t4 @t1)) (and @t31 @t93)))) % 33.95/34.55 (assume @p24 (forall (@list @t20 @t1 @t2) (= (tptp.member @t2 (tptp.inverse_image2 @t20 @t1)) @t33))) % 33.95/34.55 (assume @p25 (forall (@list @t20 @t1 @t4 @t2) (= (tptp.member @t2 (tptp.inverse_image3 @t20 @t1 @t4)) (and @t5 @t33)))) % 33.95/34.55 (assume @p26 (forall @t102 (= (tptp.increasing @t20 @t4 @t98 @t1 @t94) (forall @t101 (=> @t100 @t95))))) % 33.95/34.55 (assume @p27 (forall @t102 (= (tptp.decreasing @t20 @t4 @t98 @t1 @t94) (forall @t101 (=> @t100 (tptp.apply @t94 @t17 @t18)))))) % 33.95/34.55 (assume @p28 (forall @t102 (= (tptp.isomorphism @t20 @t4 @t98 @t1 @t94) (and @t37 @t85 (forall @t101 (=> (and @t68 @t26 @t67 @t25 @t97 @t96) (= @t99 @t95))))))) % 33.95/34.55 (assume @p29 @t106) % 33.95/34.55 (assume @p30 true) % 33.95/34.55 (step @p31 :rule aci_norm :args ((= (or @t113 @t112) (or @t111 @t110 @t109 @t108 @t107 @t19)))) % 33.95/34.55 (step @p32 :rule aci_norm :args ((= (or (or @t108 @t107) @t19) @t112))) % 33.95/34.55 (step @p33 :rule refl :args (@t19)) % 33.95/34.55 (step @p34 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 33.95/34.55 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or (not @t23) @t19))) % 33.95/34.55 (step @p36 :rule trans :premises (@p35 @p32)) % 33.95/34.55 (step @p37 :rule bool-impl-elim :args (@t23 @t19)) % 33.95/34.55 (step @p38 :rule trans :premises (@p37 @p36)) % 33.95/34.55 (step @p39 :rule aci_norm :args ((= (or @t111 (or @t110 @t109)) @t113))) % 33.95/34.55 (step @p40 :rule bool-and-de-morgan :args (@t26 @t25 true)) % 33.95/34.55 (step @p41 :rule refl :args (@t111)) % 33.95/34.55 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or @t111 (not (and @t26 @t25))))) % 33.95/34.55 (step @p43 :rule bool-and-de-morgan :args (@t5 @t26 (and @t25))) % 33.95/34.55 (step @p44 :rule trans :premises (@p43 @p42)) % 33.95/34.55 (step @p45 :rule trans :premises (@p44 @p39)) % 33.95/34.55 (step @p46 :rule nary_cong :premises (@p45 @p38) :args ((or (not @t27) @t24))) % 33.95/34.55 (step @p47 :rule trans :premises (@p46 @p31)) % 33.95/34.55 (step @p48 :rule bool-impl-elim :args (@t27 @t24)) % 33.95/34.55 (step @p49 :rule trans :premises (@p48 @p47)) % 33.95/34.55 (step @p50 :rule cong :premises (@p49) :args (@t29)) % 33.95/34.55 (step @p51 :rule bool-impl-elim :args (@t5 @t116)) % 33.95/34.55 (step @p52 :rule cong :premises (@p51) :args ((forall @t6 (=> @t5 @t116)))) % 33.95/34.55 (step @p53 :rule bool-and-de-morgan :args (@t31 @t30 true)) % 33.95/34.55 (step @p54 :rule cong :premises (@p53) :args (@t117)) % 33.95/34.55 (step @p55 :rule cong :premises (@p54) :args (@t118)) % 33.95/34.55 (step @p56 :rule exists-elim :args ((= @t33 @t118))) % 33.95/34.55 (step @p57 :rule trans :premises (@p56 @p55)) % 33.95/34.55 (step @p58 :rule refl :args (@t5)) % 33.95/34.55 (step @p59 :rule cong :premises (@p58 @p57) :args (@t34)) % 33.95/34.55 (step @p60 :rule cong :premises (@p59) :args (@t35)) % 33.95/34.55 (step @p61 :rule trans :premises (@p60 @p52)) % 33.95/34.55 (step @p62 :rule nary_cong :premises (@p61 @p50) :args (@t36)) % 33.95/34.55 (step @p63 :rule refl :args (@t37)) % 33.95/34.55 (step @p64 :rule cong :premises (@p63 @p62) :args (@t38)) % 33.95/34.55 (step @p65 :rule cong :premises (@p64) :args (@t40)) % 33.95/34.55 (step @p66 :rule eq_resolve :premises (@p12 @p65)) % 33.95/34.55 (step @p67 :rule instantiate :premises (@p66) :args (@t122)) % 33.95/34.55 (step @p68 :rule bool-impl-elim :args (@t104 @t103)) % 33.95/34.55 (step @p69 :rule cong :premises (@p68) :args (@t105)) % 33.95/34.55 (step @p70 :rule cong :premises (@p69) :args (@t106)) % 33.95/34.55 (step @p71 :rule eq_resolve :premises (@p29 @p70)) % 33.95/34.55 (step @p72 :rule skolemize :premises (@p71)) % 33.95/34.55 (step @p73 :rule bool-double-not-elim :args (@t123)) % 33.95/34.55 (step @p74 :rule refl :args (@t131)) % 33.95/34.55 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t131 (not @t130)))) % 33.95/34.55 (step @p76 :rule cnf_or_neg :args (@t131 0)) % 33.95/34.55 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 33.95/34.55 (step @p78 :rule reordering :premises (@p77) :args ((or @t123 @t131))) % 33.95/34.55 (step @p79 :rule chain_m_resolution :premises (@p78 @p72) :args (@t123 @t132 @t133)) % 33.95/34.55 (step @p80 :rule cnf_equiv_pos1 :args (@t140)) % 33.95/34.55 (step @p81 :rule reordering :premises (@p80) :args ((or @t130 @t139 (not @t140)))) % 33.95/34.55 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p67) :args (@t139 @t141 (@list @t123 @t140))) % 33.95/34.55 (step @p83 :rule cnf_and_pos :args (@t139 0)) % 33.95/34.55 (step @p84 :rule reordering :premises (@p83) :args ((or @t138 @t142))) % 33.95/34.55 (step @p85 :rule chain_m_resolution :premises (@p84 @p82) :args (@t138 @t143 @t144)) % 33.95/34.55 (step @p86 :rule instantiate :premises (@p85) :args ((@list @t147))) % 33.95/34.55 (step @p87 :rule bool-impl-elim :args (@t31 @t148)) % 33.95/34.55 (step @p88 :rule cong :premises (@p87) :args ((forall @t16 (=> @t31 @t148)))) % 33.95/34.55 (step @p89 :rule bool-and-de-morgan :args (@t76 @t75 true)) % 33.95/34.55 (step @p90 :rule cong :premises (@p89) :args (@t149)) % 33.95/34.55 (step @p91 :rule cong :premises (@p90) :args (@t150)) % 33.95/34.55 (step @p92 :rule exists-elim :args ((= @t79 @t150))) % 33.95/34.55 (step @p93 :rule trans :premises (@p92 @p91)) % 33.95/34.55 (step @p94 :rule refl :args (@t31)) % 33.95/34.55 (step @p95 :rule cong :premises (@p94 @p93) :args (@t80)) % 33.95/34.55 (step @p96 :rule cong :premises (@p95) :args (@t81)) % 33.95/34.55 (step @p97 :rule trans :premises (@p96 @p88)) % 33.95/34.55 (step @p98 :rule refl :args (@t82)) % 33.95/34.55 (step @p99 :rule cong :premises (@p98 @p97) :args (@t83)) % 33.95/34.55 (step @p100 :rule cong :premises (@p99) :args (@t84)) % 33.95/34.55 (step @p101 :rule eq_resolve :premises (@p18 @p100)) % 33.95/34.55 (step @p102 :rule instantiate :premises (@p101) :args (@t122)) % 33.95/34.55 (step @p103 :rule aci_norm :args ((= (or @t156 @t155) (or @t154 @t153 @t115 @t152 @t151 @t62)))) % 33.95/34.55 (step @p104 :rule aci_norm :args ((= (or (or @t152 @t151) @t62) @t155))) % 33.95/34.55 (step @p105 :rule refl :args (@t62)) % 33.95/34.55 (step @p106 :rule bool-and-de-morgan :args (@t64 @t63 true)) % 33.95/34.55 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or (not @t65) @t62))) % 33.95/34.55 (step @p108 :rule trans :premises (@p107 @p104)) % 33.95/34.55 (step @p109 :rule bool-impl-elim :args (@t65 @t62)) % 33.95/34.55 (step @p110 :rule trans :premises (@p109 @p108)) % 33.95/34.55 (step @p111 :rule aci_norm :args ((= (or @t154 (or @t153 @t115)) @t156))) % 33.95/34.55 (step @p112 :rule bool-and-de-morgan :args (@t67 @t31 true)) % 33.95/34.55 (step @p113 :rule refl :args (@t154)) % 33.95/34.55 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or @t154 (not (and @t67 @t31))))) % 33.95/34.55 (step @p115 :rule bool-and-de-morgan :args (@t68 @t67 (and @t31))) % 33.95/34.55 (step @p116 :rule trans :premises (@p115 @p114)) % 33.95/34.55 (step @p117 :rule trans :premises (@p116 @p111)) % 33.95/34.55 (step @p118 :rule nary_cong :premises (@p117 @p110) :args ((or (not @t69) @t66))) % 33.95/34.55 (step @p119 :rule trans :premises (@p118 @p103)) % 33.95/34.55 (step @p120 :rule bool-impl-elim :args (@t69 @t66)) % 33.95/34.55 (step @p121 :rule trans :premises (@p120 @p119)) % 33.95/34.55 (step @p122 :rule cong :premises (@p121) :args (@t71)) % 33.95/34.55 (step @p123 :rule refl :args (@t72)) % 33.95/34.55 (step @p124 :rule cong :premises (@p123 @p122) :args (@t73)) % 33.95/34.55 (step @p125 :rule cong :premises (@p124) :args (@t74)) % 33.95/34.55 (step @p126 :rule eq_resolve :premises (@p17 @p125)) % 33.95/34.55 (step @p127 :rule instantiate :premises (@p126) :args (@t122)) % 33.95/34.55 (step @p128 :rule bool-double-not-elim :args 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(step @p549 :rule process_scope :premises (@p669) :args (@t310)) % 33.95/34.55 (step @p551 :rule implies_elim :premises (@p549)) % 33.95/34.55 (step @p552 :rule eq_resolve :premises (@p551 @p546)) % 33.95/34.55 (step @p553 :rule chain_m_resolution :premises (@p552 @p543) :args (@t310 @t132 (@list @t146))) % 33.95/34.55 (step @p554 :rule bool-double-not-elim :args (@t307)) % 33.95/34.55 (step @p555 :rule refl :args (@t309)) % 33.95/34.55 (step @p556 :rule nary_cong :premises (@p555 @p554) :args ((or @t309 (not @t308)))) % 33.95/34.55 (step @p557 :rule cnf_or_neg :args (@t309 0)) % 33.95/34.55 (step @p558 :rule eq_resolve :premises (@p557 @p556)) % 33.95/34.55 (step @p559 :rule reordering :premises (@p558) :args ((or @t307 @t309))) % 33.95/34.55 (step @p560 :rule chain_m_resolution :premises (@p559 @p553) :args (@t307 @t132 @t311)) % 33.95/34.55 (step @p561 :rule cnf_or_pos :args (@t314)) % 33.95/34.55 (step @p562 :rule reordering :premises (@p561) :args ((or @t308 @t313 (not @t314)))) % 33.95/34.55 (step @p563 :rule chain_m_resolution :premises (@p562 @p560 @p86) :args (@t313 @t141 (@list @t307 @t314))) % 33.95/34.55 (step @p564 :rule refl :args (@t321)) % 33.95/34.55 (step @p565 :rule bool-double-not-elim :args (@t312)) % 33.95/34.55 (step @p566 :rule nary_cong :premises (@p565 @p564) :args ((or (not @t313) @t321))) % 33.95/34.55 (assume-push @p670 @t313) % 33.95/34.55 (step @p568 :rule skolemize :premises (@p670)) % 33.95/34.55 (step-pop @p671 :rule scope :premises (@p568)) % 33.95/34.55 (step @p569 :rule process_scope :premises (@p671) :args (@t321)) % 33.95/34.55 (step @p571 :rule implies_elim :premises (@p569)) % 33.95/34.55 (step @p572 :rule eq_resolve :premises (@p571 @p566)) % 33.95/34.55 (step @p573 :rule chain_m_resolution :premises (@p572 @p563) :args (@t321 @t132 (@list @t312))) % 33.95/34.55 (step @p574 :rule bool-double-not-elim :args (@t316)) % 33.95/34.55 (step @p575 :rule refl :args (@t320)) % 33.95/34.55 (step @p576 :rule nary_cong :premises (@p575 @p574) :args ((or @t320 (not @t317)))) % 33.95/34.55 (step @p577 :rule cnf_or_neg :args (@t320 1)) % 33.95/34.55 (step @p578 :rule eq_resolve :premises (@p577 @p576)) % 33.95/34.55 (step @p579 :rule reordering :premises (@p578) :args ((or @t316 @t320))) % 33.95/34.55 (step @p580 :rule chain_m_resolution :premises (@p579 @p573) :args (@t316 @t132 @t322)) % 33.95/34.55 (assume-push @p672 @t173) % 33.95/34.55 (step @p582 :rule instantiate :premises (@p672) :args ((@list @t147 @t315))) % 33.95/34.55 (step-pop @p673 :rule scope :premises (@p582)) % 33.95/34.55 (step @p583 :rule process_scope :premises (@p673) :args (@t325)) % 33.95/34.55 (step @p585 :rule implies_elim :premises (@p583)) % 33.95/34.55 (step @p586 :rule chain_m_resolution :premises (@p585 @p425) :args (@t325 @t143 @t258)) % 33.95/34.55 (step @p587 :rule bool-double-not-elim :args (@t318)) % 33.95/34.55 (step @p588 :rule nary_cong :premises (@p575 @p587) :args ((or @t320 (not @t319)))) % 33.95/34.55 (step @p589 :rule cnf_or_neg :args (@t320 0)) % 33.95/34.55 (step @p590 :rule eq_resolve :premises (@p589 @p588)) % 33.95/34.55 (step @p591 :rule reordering :premises (@p590) :args ((or @t318 @t320))) % 33.95/34.55 (step @p592 :rule chain_m_resolution :premises (@p591 @p573) :args (@t318 @t132 @t322)) % 33.95/34.55 (step @p593 :rule cnf_or_pos :args (@t325)) % 33.95/34.55 (step @p594 :rule reordering :premises (@p593) :args ((or @t308 @t319 @t324 (not @t325)))) % 33.95/34.55 (step @p595 :rule chain_m_resolution :premises (@p594 @p560 @p592 @p586) :args (@t324 (@list false false false) (@list @t307 @t318 @t325))) % 33.95/34.55 (step @p596 :rule bool-double-not-elim :args (@t305)) % 33.95/34.55 (step @p597 :rule nary_cong :premises (@p555 @p596) :args ((or @t309 (not @t306)))) % 33.95/34.55 (step @p598 :rule cnf_or_neg :args (@t309 1)) % 33.95/34.55 (step @p599 :rule eq_resolve :premises (@p598 @p597)) % 33.95/34.55 (step @p600 :rule reordering :premises (@p599) :args ((or @t305 @t309))) % 33.95/34.55 (step @p601 :rule chain_m_resolution :premises (@p600 @p553) :args (@t305 @t132 @t311)) % 33.95/34.55 (assume-push @p674 @t305) % 33.95/34.55 (step @p603 :rule instantiate :premises (@p674) :args ((@list @t315))) % 33.95/34.55 (step-pop @p675 :rule scope :premises (@p603)) % 33.95/34.55 (step @p604 :rule process_scope :premises (@p675) :args (@t327)) % 33.95/34.55 (step @p606 :rule implies_elim :premises (@p604)) % 33.95/34.55 (step @p607 :rule chain_m_resolution :premises (@p606 @p601) :args (@t327 @t143 (@list @t305))) % 33.95/34.55 (step @p608 :rule cnf_or_pos :args (@t327)) % 33.95/34.55 (step @p609 :rule reordering :premises (@p608) :args ((or @t319 @t326 (not @t327)))) % 33.95/34.55 (step @p610 :rule chain_m_resolution :premises (@p609 @p592 @p607) :args (@t326 @t141 (@list @t318 @t327))) % 33.95/34.55 (step @p611 :rule cnf_equiv_pos1 :args (@t324)) % 33.95/34.55 (step @p612 :rule reordering :premises (@p611) :args ((or @t317 @t323 (not @t324)))) % 33.95/34.55 (step @p613 false :rule chain_m_resolution :premises (@p612 @p610 @p595 @p580) :args (false (@list true false false) (@list @t323 @t324 @t316))) % 33.95/34.55 ) % 33.95/34.55 % SZS output end Proof % 33.95/34.55 % cvc5 exiting %------------------------------------------------------------------------------