%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET742+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 : 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 08:48:33 AM UTC 2026 % Result : Theorem 34.02s 34.28s % Output : Proof 34.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : SET742+4 : TPTP v9.2.1. Bugfixed v2.2.1. % 0.08/0.15 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.36 % Computer : n016.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 300 % 0.15/0.36 % DateTime : Tue Jun 2 16:11:39 EDT 2026 % 0.15/0.37 % CPUTime : % 0.25/0.51 %----Proving TF0_NAR, FOF, or CNF % 34.02/34.28 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.02/34.28 --- Run --no-e-matching --full-saturate-quant at 6... % 34.02/34.28 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.02/34.28 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.02/34.28 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.02/34.28 % SZS status Theorem % 34.02/34.28 % SZS output start Proof % 34.02/34.28 ( % 34.02/34.28 (declare-sort $$unsorted 0) % 34.02/34.28 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.28 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.02/34.28 (declare-const tptp.inverse_function (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.02/34.28 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.28 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 34.02/34.28 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 34.02/34.28 (declare-const tptp.empty_set $$unsorted) % 34.02/34.28 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.28 (declare-const tptp.equal_maps (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 34.02/34.28 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 34.02/34.28 (declare-const tptp.one_to_one (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.02/34.28 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 34.02/34.28 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 34.02/34.28 (declare-const tptp.image2 (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.28 (declare-const tptp.increasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 34.02/34.28 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 34.02/34.28 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 34.02/34.28 (declare-const tptp.surjective (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.02/34.28 (declare-const tptp.isomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 34.02/34.28 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.02/34.28 (declare-const tptp.compose_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 34.02/34.28 (declare-const tptp.identity (-> $$unsorted $$unsorted Bool)) % 34.02/34.28 (declare-const tptp.injective (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.02/34.28 (declare-const tptp.compose_function (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.02/34.28 (declare-const tptp.inverse_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 34.02/34.28 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.28 (declare-const tptp.image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.02/34.28 (declare-const tptp.inverse_image2 (-> $$unsorted $$unsorted $$unsorted)) % 34.02/34.28 (declare-const tptp.decreasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 34.02/34.28 (declare-const tptp.inverse_image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.02/34.28 (define @t1 () (@var "B" $$unsorted)) % 34.02/34.28 (define @t2 () (@var "X" $$unsorted)) % 34.02/34.28 (define @t3 () (tptp.member @t2 @t1)) % 34.02/34.28 (define @t4 () (@var "A" $$unsorted)) % 34.02/34.28 (define @t5 () (tptp.member @t2 @t4)) % 34.02/34.28 (define @t6 () (@list @t2)) % 34.02/34.28 (define @t7 () (tptp.subset @t4 @t1)) % 34.02/34.28 (define @t8 () (@list @t4 @t1)) % 34.02/34.28 (define @t9 () (@list @t2 @t4)) % 34.02/34.28 (define @t10 () (@list @t2 @t4 @t1)) % 34.02/34.28 (define @t11 () (@var "E" $$unsorted)) % 34.02/34.28 (define @t12 () (= @t2 @t4)) % 34.02/34.28 (define @t13 () (@var "Y" $$unsorted)) % 34.02/34.28 (define @t14 () (tptp.member @t2 @t13)) % 34.02/34.28 (define @t15 () (tptp.member @t13 @t4)) % 34.02/34.28 (define @t16 () (@list @t13)) % 34.02/34.28 (define @t17 () (@var "Y2" $$unsorted)) % 34.02/34.28 (define @t18 () (@var "Y1" $$unsorted)) % 34.02/34.28 (define @t19 () (= @t18 @t17)) % 34.02/34.28 (define @t20 () (@var "F" $$unsorted)) % 34.02/34.28 (define @t21 () (tptp.apply @t20 @t2 @t17)) % 34.02/34.28 (define @t22 () (tptp.apply @t20 @t2 @t18)) % 34.02/34.28 (define @t23 () (and @t22 @t21)) % 34.02/34.28 (define @t24 () (=> @t23 @t19)) % 34.02/34.28 (define @t25 () (tptp.member @t17 @t1)) % 34.02/34.28 (define @t26 () (tptp.member @t18 @t1)) % 34.02/34.28 (define @t27 () (and @t5 @t26 @t25)) % 34.02/34.28 (define @t28 () (@list @t2 @t18 @t17)) % 34.02/34.28 (define @t29 () (forall @t28 (=> @t27 @t24))) % 34.02/34.28 (define @t30 () (tptp.apply @t20 @t2 @t13)) % 34.02/34.28 (define @t31 () (tptp.member @t13 @t1)) % 34.02/34.28 (define @t32 () (and @t31 @t30)) % 34.02/34.28 (define @t33 () (exists @t16 @t32)) % 34.02/34.28 (define @t34 () (=> @t5 @t33)) % 34.02/34.28 (define @t35 () (forall @t6 @t34)) % 34.02/34.28 (define @t36 () (and @t35 @t29)) % 34.02/34.28 (define @t37 () (tptp.maps @t20 @t4 @t1)) % 34.02/34.28 (define @t38 () (= @t37 @t36)) % 34.02/34.28 (define @t39 () (@list @t20 @t4 @t1)) % 34.02/34.28 (define @t40 () (forall @t39 @t38)) % 34.02/34.28 (define @t41 () (@var "Z" $$unsorted)) % 34.02/34.28 (define @t42 () (@var "G" $$unsorted)) % 34.02/34.28 (define @t43 () (tptp.apply @t42 @t13 @t41)) % 34.02/34.28 (define @t44 () (and @t31 @t30 @t43)) % 34.02/34.28 (define @t45 () (exists @t16 @t44)) % 34.02/34.28 (define @t46 () (@var "H" $$unsorted)) % 34.02/34.28 (define @t47 () (@var "C" $$unsorted)) % 34.02/34.28 (define @t48 () (tptp.member @t41 @t47)) % 34.02/34.28 (define @t49 () (and @t5 @t48)) % 34.02/34.28 (define @t50 () (tptp.compose_function @t42 @t20 @t4 @t1 @t47)) % 34.02/34.28 (define @t51 () (tptp.apply @t50 @t2 @t41)) % 34.02/34.28 (define @t52 () (=> @t49 (= @t51 @t45))) % 34.02/34.28 (define @t53 () (@list @t42 @t20 @t4 @t1 @t47 @t2 @t41)) % 34.02/34.28 (define @t54 () (forall @t53 @t52)) % 34.02/34.28 (define @t55 () (@var "X2" $$unsorted)) % 34.02/34.28 (define @t56 () (@var "X1" $$unsorted)) % 34.02/34.28 (define @t57 () (= @t56 @t55)) % 34.02/34.28 (define @t58 () (tptp.apply @t20 @t55 @t13)) % 34.02/34.28 (define @t59 () (tptp.apply @t20 @t56 @t13)) % 34.02/34.28 (define @t60 () (and @t59 @t58)) % 34.02/34.28 (define @t61 () (=> @t60 @t57)) % 34.02/34.28 (define @t62 () (tptp.member @t55 @t4)) % 34.02/34.28 (define @t63 () (tptp.member @t56 @t4)) % 34.02/34.28 (define @t64 () (and @t63 @t62 @t31)) % 34.02/34.28 (define @t65 () (@list @t56 @t55 @t13)) % 34.02/34.28 (define @t66 () (forall @t65 (=> @t64 @t61))) % 34.02/34.28 (define @t67 () (tptp.injective @t20 @t4 @t1)) % 34.02/34.28 (define @t68 () (= @t67 @t66)) % 34.02/34.28 (define @t69 () (forall @t39 @t68)) % 34.02/34.28 (define @t70 () (tptp.apply @t20 @t11 @t13)) % 34.02/34.28 (define @t71 () (tptp.member @t11 @t4)) % 34.02/34.28 (define @t72 () (and @t71 @t70)) % 34.02/34.28 (define @t73 () (@list @t11)) % 34.02/34.28 (define @t74 () (exists @t73 @t72)) % 34.02/34.28 (define @t75 () (=> @t31 @t74)) % 34.02/34.28 (define @t76 () (forall @t16 @t75)) % 34.02/34.28 (define @t77 () (tptp.surjective @t20 @t4 @t1)) % 34.02/34.28 (define @t78 () (= @t77 @t76)) % 34.02/34.28 (define @t79 () (forall @t39 @t78)) % 34.02/34.28 (define @t80 () (tptp.one_to_one @t20 @t4 @t1)) % 34.02/34.28 (define @t81 () (and @t5 @t31)) % 34.02/34.28 (define @t82 () (exists @t6 (and @t5 @t30))) % 34.02/34.28 (define @t83 () (@var "S" $$unsorted)) % 34.02/34.28 (define @t84 () (tptp.apply @t83 @t18 @t17)) % 34.02/34.28 (define @t85 () (tptp.apply @t20 @t55 @t17)) % 34.02/34.28 (define @t86 () (tptp.apply @t20 @t56 @t18)) % 34.02/34.28 (define @t87 () (@var "R" $$unsorted)) % 34.02/34.28 (define @t88 () (tptp.apply @t87 @t56 @t55)) % 34.02/34.28 (define @t89 () (and @t63 @t26 @t62 @t25 @t88 @t86 @t85)) % 34.02/34.28 (define @t90 () (@list @t56 @t18 @t55 @t17)) % 34.02/34.28 (define @t91 () (@list @t20 @t4 @t87 @t1 @t83)) % 34.02/34.28 (define @t92 () (tptp.one_to_one (tptp.compose_function @t46 @t42 @t1 @t47 @t4) @t1 @t4)) % 34.02/34.28 (define @t93 () (tptp.one_to_one @t50 @t4 @t47)) % 34.02/34.28 (define @t94 () (tptp.maps @t46 @t47 @t4)) % 34.02/34.28 (define @t95 () (tptp.maps @t42 @t1 @t47)) % 34.02/34.28 (define @t96 () (and @t37 @t95 @t94 @t93 @t92)) % 34.02/34.28 (define @t97 () (@list @t20 @t42 @t46 @t4 @t1 @t47)) % 34.02/34.28 (define @t98 () (forall @t97 (=> @t96 @t80))) % 34.02/34.28 (define @t99 () (not @t98)) % 34.02/34.28 (define @t100 () (not @t43)) % 34.02/34.28 (define @t101 () (not @t30)) % 34.02/34.28 (define @t102 () (not @t31)) % 34.02/34.28 (define @t103 () (or @t102 @t101 @t100)) % 34.02/34.28 (define @t104 () (not (forall @t16 @t103))) % 34.02/34.28 (define @t105 () (= @t51 @t104)) % 34.02/34.28 (define @t106 () (not @t48)) % 34.02/34.28 (define @t107 () (not @t5)) % 34.02/34.28 (define @t108 () (forall @t16 (not @t44))) % 34.02/34.28 (define @t109 () (not @t108)) % 34.02/34.28 (define @t110 () (not @t92)) % 34.02/34.28 (define @t111 () (not @t93)) % 34.02/34.28 (define @t112 () (not @t94)) % 34.02/34.28 (define @t113 () (not @t95)) % 34.02/34.28 (define @t114 () (not @t37)) % 34.02/34.28 (define @t115 () (or @t114 @t113 @t112 @t111 @t110 @t80)) % 34.02/34.28 (define @t116 () (forall @t97 @t115)) % 34.02/34.28 (define @t117 () (@quantifiers_skolemize @t116 0)) % 34.02/34.28 (define @t118 () (@quantifiers_skolemize @t116 3)) % 34.02/34.28 (define @t119 () (not (tptp.member @t11 @t118))) % 34.02/34.28 (define @t120 () (@quantifiers_skolemize @t116 4)) % 34.02/34.28 (define @t121 () (not (tptp.member @t13 @t120))) % 34.02/34.28 (define @t122 () (forall @t16 (or @t121 (not (forall @t73 (or @t119 (not (tptp.apply @t117 @t11 @t13)))))))) % 34.02/34.28 (define @t123 () (@quantifiers_skolemize @t122 0)) % 34.02/34.28 (define @t124 () (@quantifiers_skolemize @t116 1)) % 34.02/34.28 (define @t125 () (not (tptp.apply @t124 @t123 @t13))) % 34.02/34.28 (define @t126 () (@quantifiers_skolemize @t116 5)) % 34.02/34.28 (define @t127 () (not (tptp.member @t13 @t126))) % 34.02/34.28 (define @t128 () (forall @t16 (or @t127 @t125))) % 34.02/34.28 (define @t129 () (@quantifiers_skolemize @t128 0)) % 34.02/34.28 (define @t130 () (@quantifiers_skolemize @t116 2)) % 34.02/34.28 (define @t131 () (not (tptp.member @t13 @t118))) % 34.02/34.28 (define @t132 () (forall @t16 (or @t131 (not (tptp.apply @t130 @t129 @t13))))) % 34.02/34.28 (define @t133 () (@quantifiers_skolemize @t132 0)) % 34.02/34.28 (define @t134 () (not @t21)) % 34.02/34.28 (define @t135 () (not @t22)) % 34.02/34.28 (define @t136 () (not @t25)) % 34.02/34.28 (define @t137 () (not @t26)) % 34.02/34.28 (define @t138 () (or @t135 @t134 @t19)) % 34.02/34.28 (define @t139 () (or @t107 @t137 @t136)) % 34.02/34.28 (define @t140 () (not (forall @t16 (or @t102 @t101)))) % 34.02/34.28 (define @t141 () (forall @t16 (not @t32))) % 34.02/34.28 (define @t142 () (not @t141)) % 34.02/34.28 (define @t143 () (or @t114 @t113 @t112 @t111 @t110)) % 34.02/34.28 (define @t144 () (tptp.maps @t130 @t126 @t118)) % 34.02/34.28 (define @t145 () (tptp.one_to_one @t117 @t118 @t120)) % 34.02/34.28 (define @t146 () (tptp.compose_function @t130 @t124 @t120 @t126 @t118)) % 34.02/34.28 (define @t147 () (tptp.one_to_one @t146 @t120 @t118)) % 34.02/34.28 (define @t148 () (not @t147)) % 34.02/34.28 (define @t149 () (tptp.compose_function @t124 @t117 @t118 @t120 @t126)) % 34.02/34.28 (define @t150 () (tptp.one_to_one @t149 @t118 @t126)) % 34.02/34.28 (define @t151 () (not @t150)) % 34.02/34.28 (define @t152 () (not @t144)) % 34.02/34.28 (define @t153 () (tptp.maps @t124 @t120 @t126)) % 34.02/34.28 (define @t154 () (not @t153)) % 34.02/34.28 (define @t155 () (tptp.maps @t117 @t118 @t120)) % 34.02/34.28 (define @t156 () (not @t155)) % 34.02/34.28 (define @t157 () (or @t156 @t154 @t152 @t151 @t148 @t145)) % 34.02/34.28 (define @t158 () (@list true)) % 34.02/34.28 (define @t159 () (@list @t157)) % 34.02/34.28 (define @t160 () (not (tptp.member @t2 @t126))) % 34.02/34.28 (define @t161 () (forall @t6 (or @t160 (not (forall @t16 (or @t131 (not (tptp.apply @t130 @t2 @t13)))))))) % 34.02/34.28 (define @t162 () (and @t161 (forall @t28 (or @t160 (not (tptp.member @t18 @t118)) (not (tptp.member @t17 @t118)) (not (tptp.apply @t130 @t2 @t18)) (not (tptp.apply @t130 @t2 @t17)) @t19)))) % 34.02/34.28 (define @t163 () (= @t144 @t162)) % 34.02/34.28 (define @t164 () (@list false false)) % 34.02/34.28 (define @t165 () (@list false)) % 34.02/34.28 (define @t166 () (@list @t129)) % 34.02/34.28 (define @t167 () (not (tptp.member @t2 @t120))) % 34.02/34.28 (define @t168 () (forall @t6 (or @t167 (not (forall @t16 (or @t127 (not (tptp.apply @t124 @t2 @t13)))))))) % 34.02/34.28 (define @t169 () (and @t168 (forall @t28 (or @t167 (not (tptp.member @t18 @t126)) (not (tptp.member @t17 @t126)) (not (tptp.apply @t124 @t2 @t18)) (not (tptp.apply @t124 @t2 @t17)) @t19)))) % 34.02/34.28 (define @t170 () (= @t153 @t169)) % 34.02/34.28 (define @t171 () (not (forall @t73 (or (not @t71) (not @t70))))) % 34.02/34.28 (define @t172 () (forall @t73 (not @t72))) % 34.02/34.28 (define @t173 () (not @t172)) % 34.02/34.28 (define @t174 () (@list @t117 @t118 @t120)) % 34.02/34.28 (define @t175 () (not @t58)) % 34.02/34.28 (define @t176 () (not @t59)) % 34.02/34.28 (define @t177 () (not @t62)) % 34.02/34.28 (define @t178 () (not @t63)) % 34.02/34.28 (define @t179 () (or @t176 @t175 @t57)) % 34.02/34.28 (define @t180 () (or @t178 @t177 @t102)) % 34.02/34.28 (define @t181 () (not (tptp.member @t55 @t118))) % 34.02/34.28 (define @t182 () (not (tptp.member @t56 @t118))) % 34.02/34.28 (define @t183 () (forall @t65 (or @t182 @t181 @t121 (not (tptp.apply @t117 @t56 @t13)) (not (tptp.apply @t117 @t55 @t13)) @t57))) % 34.02/34.28 (define @t184 () (@quantifiers_skolemize @t183 0)) % 34.02/34.28 (define @t185 () (tptp.member @t184 @t118)) % 34.02/34.28 (define @t186 () (@quantifiers_skolemize @t183 1)) % 34.02/34.28 (define @t187 () (= @t184 @t186)) % 34.02/34.28 (define @t188 () (@quantifiers_skolemize @t183 2)) % 34.02/34.28 (define @t189 () (tptp.apply @t117 @t186 @t188)) % 34.02/34.28 (define @t190 () (not @t189)) % 34.02/34.28 (define @t191 () (tptp.apply @t117 @t184 @t188)) % 34.02/34.28 (define @t192 () (not @t191)) % 34.02/34.28 (define @t193 () (tptp.member @t188 @t120)) % 34.02/34.28 (define @t194 () (not @t193)) % 34.02/34.28 (define @t195 () (tptp.member @t186 @t118)) % 34.02/34.28 (define @t196 () (not @t195)) % 34.02/34.28 (define @t197 () (not @t185)) % 34.02/34.28 (define @t198 () (or @t197 @t196 @t194 @t192 @t190 @t187)) % 34.02/34.28 (define @t199 () (@list @t188)) % 34.02/34.28 (define @t200 () (forall @t16 (or @t127 (not (tptp.apply @t124 @t188 @t13))))) % 34.02/34.28 (define @t201 () (not @t200)) % 34.02/34.28 (define @t202 () (or @t194 @t201)) % 34.02/34.28 (define @t203 () (@quantifiers_skolemize @t200 0)) % 34.02/34.28 (define @t204 () (tptp.apply @t124 @t188 @t203)) % 34.02/34.28 (define @t205 () (not @t204)) % 34.02/34.28 (define @t206 () (tptp.member @t203 @t126)) % 34.02/34.28 (define @t207 () (not @t206)) % 34.02/34.28 (define @t208 () (or @t207 @t205)) % 34.02/34.28 (define @t209 () (not @t208)) % 34.02/34.28 (define @t210 () (not (tptp.apply @t124 @t13 @t203))) % 34.02/34.28 (define @t211 () (forall @t16 (or @t121 (not (tptp.apply @t117 @t186 @t13)) @t210))) % 34.02/34.28 (define @t212 () (not @t211)) % 34.02/34.28 (define @t213 () (tptp.apply @t149 @t186 @t203)) % 34.02/34.28 (define @t214 () (= @t213 @t212)) % 34.02/34.28 (define @t215 () (or @t196 @t207 @t214)) % 34.02/34.28 (define @t216 () (forall @t16 (or @t121 (not (tptp.apply @t117 @t184 @t13)) @t210))) % 34.02/34.28 (define @t217 () (not @t216)) % 34.02/34.28 (define @t218 () (tptp.apply @t149 @t184 @t203)) % 34.02/34.28 (define @t219 () (= @t218 @t217)) % 34.02/34.28 (define @t220 () (or @t197 @t207 @t219)) % 34.02/34.28 (define @t221 () (or @t194 @t190 @t205)) % 34.02/34.28 (define @t222 () (not @t214)) % 34.02/34.28 (define @t223 () (@list @t149 @t118 @t126)) % 34.02/34.28 (define @t224 () (tptp.surjective @t149 @t118 @t126)) % 34.02/34.28 (define @t225 () (tptp.injective @t149 @t118 @t126)) % 34.02/34.28 (define @t226 () (and @t225 @t224)) % 34.02/34.28 (define @t227 () (= @t150 @t226)) % 34.02/34.28 (define @t228 () (not @t226)) % 34.02/34.28 (define @t229 () (@list @t226)) % 34.02/34.28 (define @t230 () (forall @t65 (or @t182 @t181 @t127 (not (tptp.apply @t149 @t56 @t13)) (not (tptp.apply @t149 @t55 @t13)) @t57))) % 34.02/34.28 (define @t231 () (= @t225 @t230)) % 34.02/34.28 (define @t232 () (not @t218)) % 34.02/34.28 (define @t233 () (not @t213)) % 34.02/34.28 (define @t234 () (or @t196 @t197 @t207 @t233 @t232 (= @t186 @t184))) % 34.02/34.28 (define @t235 () (or @t196 @t197 @t207 @t233 @t232 @t187)) % 34.02/34.28 (define @t236 () (not @t219)) % 34.02/34.28 (define @t237 () (or @t194 @t192 @t205)) % 34.02/34.28 (define @t238 () (not @t198)) % 34.02/34.28 (define @t239 () (not @t183)) % 34.02/34.28 (define @t240 () (tptp.injective @t117 @t118 @t120)) % 34.02/34.28 (define @t241 () (= @t240 @t183)) % 34.02/34.28 (define @t242 () (tptp.surjective @t117 @t118 @t120)) % 34.02/34.28 (define @t243 () (and @t240 @t242)) % 34.02/34.28 (define @t244 () (= @t145 @t243)) % 34.02/34.28 (define @t245 () (not @t243)) % 34.02/34.28 (define @t246 () (@list true false)) % 34.02/34.28 (define @t247 () (= @t242 @t122)) % 34.02/34.28 (define @t248 () (not @t122)) % 34.02/34.28 (define @t249 () (forall @t73 (or @t119 (not (tptp.apply @t117 @t11 @t123))))) % 34.02/34.28 (define @t250 () (not @t249)) % 34.02/34.28 (define @t251 () (tptp.member @t123 @t120)) % 34.02/34.28 (define @t252 () (not @t251)) % 34.02/34.28 (define @t253 () (or @t252 @t250)) % 34.02/34.28 (define @t254 () (not @t253)) % 34.02/34.28 (define @t255 () (@list @t253)) % 34.02/34.28 (define @t256 () (not @t128)) % 34.02/34.28 (define @t257 () (or @t252 @t256)) % 34.02/34.28 (define @t258 () (tptp.apply @t124 @t123 @t129)) % 34.02/34.28 (define @t259 () (not @t258)) % 34.02/34.28 (define @t260 () (tptp.member @t129 @t126)) % 34.02/34.28 (define @t261 () (not @t260)) % 34.02/34.28 (define @t262 () (or @t261 @t259)) % 34.02/34.28 (define @t263 () (not @t262)) % 34.02/34.28 (define @t264 () (@list @t262)) % 34.02/34.28 (define @t265 () (not @t132)) % 34.02/34.28 (define @t266 () (or @t261 @t265)) % 34.02/34.28 (define @t267 () (tptp.apply @t130 @t129 @t133)) % 34.02/34.28 (define @t268 () (not @t267)) % 34.02/34.28 (define @t269 () (tptp.member @t133 @t118)) % 34.02/34.28 (define @t270 () (not @t269)) % 34.02/34.28 (define @t271 () (or @t270 @t268)) % 34.02/34.28 (define @t272 () (not @t271)) % 34.02/34.28 (define @t273 () (@list @t271)) % 34.02/34.28 (define @t274 () (not (tptp.apply @t130 @t13 @t133))) % 34.02/34.28 (define @t275 () (forall @t16 (or @t127 @t125 @t274))) % 34.02/34.28 (define @t276 () (not @t275)) % 34.02/34.28 (define @t277 () (tptp.apply @t146 @t123 @t133)) % 34.02/34.28 (define @t278 () (= @t277 @t276)) % 34.02/34.28 (define @t279 () (or @t252 @t270 @t278)) % 34.02/34.28 (define @t280 () (@list false false false)) % 34.02/34.28 (define @t281 () (@list @t146 @t120 @t118)) % 34.02/34.28 (define @t282 () (tptp.injective @t146 @t120 @t118)) % 34.02/34.28 (define @t283 () (and @t282 (tptp.surjective @t146 @t120 @t118))) % 34.02/34.28 (define @t284 () (= @t147 @t283)) % 34.02/34.28 (define @t285 () (forall @t65 (or (not (tptp.member @t56 @t120)) (not (tptp.member @t55 @t120)) @t131 (not (tptp.apply @t146 @t56 @t13)) (not (tptp.apply @t146 @t55 @t13)) @t57))) % 34.02/34.28 (define @t286 () (= @t282 @t285)) % 34.02/34.28 (define @t287 () (forall @t73 (or @t119 (not (tptp.apply @t149 @t11 @t129))))) % 34.02/34.28 (define @t288 () (@quantifiers_skolemize @t287 0)) % 34.02/34.28 (define @t289 () (not (tptp.apply @t117 @t288 @t13))) % 34.02/34.28 (define @t290 () (forall @t16 (or @t121 @t289))) % 34.02/34.28 (define @t291 () (@quantifiers_skolemize @t290 0)) % 34.02/34.28 (define @t292 () (not @t277)) % 34.02/34.28 (define @t293 () (tptp.apply @t146 @t291 @t133)) % 34.02/34.28 (define @t294 () (not @t293)) % 34.02/34.28 (define @t295 () (tptp.member @t291 @t120)) % 34.02/34.28 (define @t296 () (not @t295)) % 34.02/34.28 (define @t297 () (or @t296 @t252 @t270 @t294 @t292 (= @t291 @t123))) % 34.02/34.28 (define @t298 () (= @t123 @t291)) % 34.02/34.28 (define @t299 () (or @t296 @t252 @t270 @t294 @t292 @t298)) % 34.02/34.28 (define @t300 () (not (tptp.member @t2 @t118))) % 34.02/34.28 (define @t301 () (forall @t28 (or @t300 (not (tptp.member @t18 @t120)) (not (tptp.member @t17 @t120)) (not (tptp.apply @t117 @t2 @t18)) (not (tptp.apply @t117 @t2 @t17)) @t19))) % 34.02/34.28 (define @t302 () (forall @t6 (or @t300 (not (forall @t16 (or @t121 (not (tptp.apply @t117 @t2 @t13)))))))) % 34.02/34.28 (define @t303 () (and @t302 @t301)) % 34.02/34.28 (define @t304 () (= @t155 @t303)) % 34.02/34.28 (define @t305 () (not @t303)) % 34.02/34.28 (define @t306 () (@list @t303)) % 34.02/34.28 (define @t307 () (@list @t288)) % 34.02/34.28 (define @t308 () (forall @t16 (or @t127 (not (forall @t73 (or @t119 (not (tptp.apply @t149 @t11 @t13)))))))) % 34.02/34.28 (define @t309 () (= @t224 @t308)) % 34.02/34.28 (define @t310 () (not @t287)) % 34.02/34.28 (define @t311 () (or @t261 @t310)) % 34.02/34.28 (define @t312 () (tptp.apply @t149 @t288 @t129)) % 34.02/34.28 (define @t313 () (not @t312)) % 34.02/34.28 (define @t314 () (tptp.member @t288 @t118)) % 34.02/34.28 (define @t315 () (not @t314)) % 34.02/34.28 (define @t316 () (or @t315 @t313)) % 34.02/34.28 (define @t317 () (not @t316)) % 34.02/34.28 (define @t318 () (@list @t316)) % 34.02/34.28 (define @t319 () (not @t290)) % 34.02/34.28 (define @t320 () (or @t315 @t319)) % 34.02/34.28 (define @t321 () (tptp.apply @t117 @t288 @t291)) % 34.02/34.28 (define @t322 () (not @t321)) % 34.02/34.28 (define @t323 () (or @t296 @t322)) % 34.02/34.28 (define @t324 () (not @t323)) % 34.02/34.28 (define @t325 () (@list @t323)) % 34.02/34.28 (define @t326 () (tptp.apply @t117 @t288 @t123)) % 34.02/34.28 (define @t327 () (not @t326)) % 34.02/34.28 (define @t328 () (or @t315 @t327)) % 34.02/34.28 (define @t329 () (not @t298)) % 34.02/34.28 (define @t330 () (and @t327 @t298 @t321)) % 34.02/34.28 (define @t331 () (forall @t16 (or @t127 (not (tptp.apply @t124 @t291 @t13)) @t274))) % 34.02/34.28 (define @t332 () (not @t331)) % 34.02/34.28 (define @t333 () (= @t293 @t332)) % 34.02/34.28 (define @t334 () (or @t296 @t270 @t333)) % 34.02/34.28 (define @t335 () (forall @t16 (or @t121 @t289 (not (tptp.apply @t124 @t13 @t129))))) % 34.02/34.28 (define @t336 () (@quantifiers_skolemize @t335 0)) % 34.02/34.28 (define @t337 () (not @t335)) % 34.02/34.28 (define @t338 () (= @t312 @t337)) % 34.02/34.28 (define @t339 () (or @t315 @t261 @t338)) % 34.02/34.28 (define @t340 () (tptp.apply @t124 @t336 @t129)) % 34.02/34.28 (define @t341 () (not @t340)) % 34.02/34.28 (define @t342 () (tptp.apply @t117 @t288 @t336)) % 34.02/34.28 (define @t343 () (not @t342)) % 34.02/34.28 (define @t344 () (tptp.member @t336 @t120)) % 34.02/34.28 (define @t345 () (not @t344)) % 34.02/34.28 (define @t346 () (or @t345 @t343 @t341)) % 34.02/34.28 (define @t347 () (not @t346)) % 34.02/34.28 (define @t348 () (@list @t346)) % 34.02/34.28 (define @t349 () (= @t291 @t336)) % 34.02/34.28 (define @t350 () (or @t315 @t296 @t345 @t322 @t343 @t349)) % 34.02/34.28 (define @t351 () (tptp.apply @t124 @t291 @t129)) % 34.02/34.28 (define @t352 () (and @t340 @t349)) % 34.02/34.28 (define @t353 () (not @t351)) % 34.02/34.28 (define @t354 () (or @t261 @t353 @t268)) % 34.02/34.28 (define @t355 () (not @t354)) % 34.02/34.28 (define @t356 () (not @t333)) % 34.02/34.28 (define @t357 () (not @t278)) % 34.02/34.28 (define @t358 () (or @t261 @t259 @t268)) % 34.02/34.28 (define @t359 () (not @t358)) % 34.02/34.28 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 34.02/34.28 (assume @p2 (forall @t8 (= (tptp.equal_set @t4 @t1) (and @t7 (tptp.subset @t1 @t4))))) % 34.02/34.28 (assume @p3 (forall @t9 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 34.02/34.28 (assume @p4 (forall @t10 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 34.02/34.28 (assume @p5 (forall @t10 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 34.02/34.28 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 34.02/34.28 (assume @p7 (forall (@list @t1 @t4 @t11) (= (tptp.member @t1 (tptp.difference @t11 @t4)) (and (tptp.member @t1 @t11) (not (tptp.member @t1 @t4)))))) % 34.02/34.28 (assume @p8 (forall @t9 (= (tptp.member @t2 (tptp.singleton @t4)) @t12))) % 34.02/34.28 (assume @p9 (forall @t10 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t12 (= @t2 @t1))))) % 34.02/34.28 (assume @p10 (forall @t9 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t16 (and @t15 @t14))))) % 34.02/34.28 (assume @p11 (forall @t9 (= (tptp.member @t2 (tptp.product @t4)) (forall @t16 (=> @t15 @t14))))) % 34.02/34.28 (assume @p12 @t40) % 34.02/34.28 (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)))))) % 34.02/34.28 (assume @p14 @t54) % 34.02/34.28 (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)))))) % 34.02/34.28 (assume @p16 (forall (@list @t20 @t4) (= (tptp.identity @t20 @t4) (forall @t6 (=> @t5 (tptp.apply @t20 @t2 @t2)))))) % 34.02/34.28 (assume @p17 @t69) % 34.02/34.28 (assume @p18 @t79) % 34.02/34.28 (assume @p19 (forall @t39 (= @t80 (and @t67 @t77)))) % 34.02/34.28 (assume @p20 (forall (@list @t42 @t20 @t4 @t1) (= (tptp.inverse_predicate @t42 @t20 @t4 @t1) (forall (@list @t2 @t13) (=> @t81 (= @t30 (tptp.apply @t42 @t13 @t2))))))) % 34.02/34.28 (assume @p21 (forall (@list @t20 @t4 @t1 @t2 @t13) (=> @t81 (= @t30 (tptp.apply (tptp.inverse_function @t20 @t4 @t1) @t13 @t2))))) % 34.02/34.28 (assume @p22 (forall (@list @t20 @t4 @t13) (= (tptp.member @t13 (tptp.image2 @t20 @t4)) @t82))) % 34.02/34.28 (assume @p23 (forall (@list @t20 @t4 @t1 @t13) (= (tptp.member @t13 (tptp.image3 @t20 @t4 @t1)) (and @t31 @t82)))) % 34.02/34.28 (assume @p24 (forall (@list @t20 @t1 @t2) (= (tptp.member @t2 (tptp.inverse_image2 @t20 @t1)) @t33))) % 34.02/34.28 (assume @p25 (forall (@list @t20 @t1 @t4 @t2) (= (tptp.member @t2 (tptp.inverse_image3 @t20 @t1 @t4)) (and @t5 @t33)))) % 34.02/34.28 (assume @p26 (forall @t91 (= (tptp.increasing @t20 @t4 @t87 @t1 @t83) (forall @t90 (=> @t89 @t84))))) % 34.02/34.28 (assume @p27 (forall @t91 (= (tptp.decreasing @t20 @t4 @t87 @t1 @t83) (forall @t90 (=> @t89 (tptp.apply @t83 @t17 @t18)))))) % 34.02/34.28 (assume @p28 (forall @t91 (= (tptp.isomorphism @t20 @t4 @t87 @t1 @t83) (and @t37 @t80 (forall @t90 (=> (and @t63 @t26 @t62 @t25 @t86 @t85) (= @t88 @t84))))))) % 34.02/34.28 (assume @p29 @t99) % 34.02/34.28 (assume @p30 true) % 34.02/34.28 (step @p31 :rule aci_norm :args ((= (or (or @t107 @t106) @t105) (or @t107 @t106 @t105)))) % 34.02/34.28 (step @p32 :rule refl :args (@t105)) % 34.02/34.28 (step @p33 :rule bool-and-de-morgan :args (@t5 @t48 true)) % 34.02/34.28 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or (not @t49) @t105))) % 34.02/34.28 (step @p35 :rule trans :premises (@p34 @p31)) % 34.02/34.28 (step @p36 :rule bool-impl-elim :args (@t49 @t105)) % 34.02/34.28 (step @p37 :rule trans :premises (@p36 @p35)) % 34.02/34.28 (step @p38 :rule cong :premises (@p37) :args ((forall @t53 (=> @t49 @t105)))) % 34.02/34.28 (step @p39 :rule eq-symm :args (@t104 @t51)) % 34.02/34.28 (step @p40 :rule refl :args (@t51)) % 34.02/34.28 (step @p41 :rule aci_norm :args ((= (or @t102 (or @t101 @t100)) @t103))) % 34.02/34.28 (step @p42 :rule bool-and-de-morgan :args (@t30 @t43 true)) % 34.02/34.28 (step @p43 :rule refl :args (@t102)) % 34.02/34.28 (step @p44 :rule nary_cong :premises (@p43 @p42) :args ((or @t102 (not (and @t30 @t43))))) % 34.02/34.28 (step @p45 :rule bool-and-de-morgan :args (@t31 @t30 (and @t43))) % 34.02/34.28 (step @p46 :rule trans :premises (@p45 @p44)) % 34.02/34.28 (step @p47 :rule trans :premises (@p46 @p41)) % 34.02/34.28 (step @p48 :rule cong :premises (@p47) :args (@t108)) % 34.02/34.28 (step @p49 :rule cong :premises (@p48) :args (@t109)) % 34.02/34.28 (step @p50 :rule exists-elim :args ((= @t45 @t109))) % 34.02/34.28 (step @p51 :rule trans :premises (@p50 @p49)) % 34.02/34.28 (step @p52 :rule cong :premises (@p51 @p40) :args ((= @t45 @t51))) % 34.02/34.28 (step @p53 :rule trans :premises (@p52 @p39)) % 34.02/34.28 (step @p54 :rule eq-symm :args (@t51 @t45)) % 34.02/34.28 (step @p55 :rule trans :premises (@p54 @p53)) % 34.02/34.28 (step @p56 :rule refl :args (@t49)) % 34.02/34.28 (step @p57 :rule cong :premises (@p56 @p55) :args (@t52)) % 34.02/34.28 (step @p58 :rule cong :premises (@p57) :args (@t54)) % 34.02/34.28 (step @p59 :rule trans :premises (@p58 @p38)) % 34.02/34.28 (step @p60 :rule eq_resolve :premises (@p14 @p59)) % 34.02/34.28 (step @p61 :rule instantiate :premises (@p60) :args ((@list @t130 @t124 @t120 @t126 @t118 @t123 @t133))) % 34.02/34.28 (step @p62 :rule aci_norm :args ((= (or @t139 @t138) (or @t107 @t137 @t136 @t135 @t134 @t19)))) % 34.02/34.28 (step @p63 :rule aci_norm :args ((= (or (or @t135 @t134) @t19) @t138))) % 34.02/34.28 (step @p64 :rule refl :args (@t19)) % 34.02/34.28 (step @p65 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 34.02/34.28 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or (not @t23) @t19))) % 34.02/34.28 (step @p67 :rule trans :premises (@p66 @p63)) % 34.02/34.28 (step @p68 :rule bool-impl-elim :args (@t23 @t19)) % 34.02/34.28 (step @p69 :rule trans :premises (@p68 @p67)) % 34.02/34.28 (step @p70 :rule aci_norm :args ((= (or @t107 (or @t137 @t136)) @t139))) % 34.02/34.28 (step @p71 :rule bool-and-de-morgan :args (@t26 @t25 true)) % 34.02/34.28 (step @p72 :rule refl :args (@t107)) % 34.02/34.28 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or @t107 (not (and @t26 @t25))))) % 34.02/34.28 (step @p74 :rule bool-and-de-morgan :args (@t5 @t26 (and @t25))) % 34.02/34.28 (step @p75 :rule trans :premises (@p74 @p73)) % 34.02/34.28 (step @p76 :rule trans :premises (@p75 @p70)) % 34.02/34.28 (step @p77 :rule nary_cong :premises (@p76 @p69) :args ((or (not @t27) @t24))) % 34.02/34.28 (step @p78 :rule trans :premises (@p77 @p62)) % 34.02/34.28 (step @p79 :rule bool-impl-elim :args (@t27 @t24)) % 34.02/34.28 (step @p80 :rule trans :premises (@p79 @p78)) % 34.02/34.28 (step @p81 :rule cong :premises (@p80) :args (@t29)) % 34.02/34.28 (step @p82 :rule bool-impl-elim :args (@t5 @t140)) % 34.02/34.28 (step @p83 :rule cong :premises (@p82) :args ((forall @t6 (=> @t5 @t140)))) % 34.02/34.28 (step @p84 :rule bool-and-de-morgan :args (@t31 @t30 true)) % 34.02/34.28 (step @p85 :rule cong :premises (@p84) :args (@t141)) % 34.02/34.28 (step @p86 :rule cong :premises (@p85) :args (@t142)) % 34.02/34.28 (step @p87 :rule exists-elim :args ((= @t33 @t142))) % 34.02/34.28 (step @p88 :rule trans :premises (@p87 @p86)) % 34.02/34.28 (step @p89 :rule refl :args (@t5)) % 34.02/34.28 (step @p90 :rule cong :premises (@p89 @p88) :args (@t34)) % 34.02/34.28 (step @p91 :rule cong :premises (@p90) :args (@t35)) % 34.02/34.28 (step @p92 :rule trans :premises (@p91 @p83)) % 34.02/34.28 (step @p93 :rule nary_cong :premises (@p92 @p81) :args (@t36)) % 34.02/34.28 (step @p94 :rule refl :args (@t37)) % 34.02/34.28 (step @p95 :rule cong :premises (@p94 @p93) :args (@t38)) % 34.02/34.28 (step @p96 :rule cong :premises (@p95) :args (@t40)) % 34.02/34.28 (step @p97 :rule eq_resolve :premises (@p12 @p96)) % 34.02/34.28 (step @p98 :rule instantiate :premises (@p97) :args ((@list @t130 @t126 @t118))) % 34.02/34.28 (step @p99 :rule aci_norm :args ((= (or @t143 @t80) @t115))) % 34.02/34.28 (step @p100 :rule refl :args (@t80)) % 34.02/34.28 (step @p101 :rule aci_norm :args ((= (or @t114 (or @t113 (or @t112 (or @t111 @t110)))) @t143))) % 34.02/34.28 (step @p102 :rule bool-and-de-morgan :args (@t93 @t92 true)) % 34.02/34.28 (step @p103 :rule refl :args (@t112)) % 34.02/34.28 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or @t112 (not (and @t93 @t92))))) % 34.02/34.28 (step @p105 :rule bool-and-de-morgan :args (@t94 @t93 (and @t92))) % 34.02/34.28 (step @p106 :rule trans :premises (@p105 @p104)) % 34.02/34.28 (step @p107 :rule refl :args (@t113)) % 34.02/34.28 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or @t113 (not (and @t94 @t93 @t92))))) % 34.02/34.28 (step @p109 :rule bool-and-de-morgan :args (@t95 @t94 (and @t93 @t92))) % 34.02/34.28 (step @p110 :rule trans :premises (@p109 @p108)) % 34.02/34.28 (step @p111 :rule refl :args (@t114)) % 34.02/34.28 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or @t114 (not (and @t95 @t94 @t93 @t92))))) % 34.02/34.28 (step @p113 :rule bool-and-de-morgan :args (@t37 @t95 (and @t94 @t93 @t92))) % 34.02/34.28 (step @p114 :rule trans :premises (@p113 @p112)) % 34.02/34.28 (step @p115 :rule trans :premises (@p114 @p101)) % 34.02/34.28 (step @p116 :rule nary_cong :premises (@p115 @p100) :args ((or (not @t96) @t80))) % 34.02/34.28 (step @p117 :rule trans :premises (@p116 @p99)) % 34.02/34.28 (step @p118 :rule bool-impl-elim :args (@t96 @t80)) % 34.02/34.28 (step @p119 :rule trans :premises (@p118 @p117)) % 34.02/34.28 (step @p120 :rule cong :premises (@p119) :args (@t98)) % 34.02/34.28 (step @p121 :rule cong :premises (@p120) :args (@t99)) % 34.02/34.28 (step @p122 :rule eq_resolve :premises (@p29 @p121)) % 34.02/34.28 (step @p123 :rule skolemize :premises (@p122)) % 34.02/34.28 (step @p124 :rule bool-double-not-elim :args (@t144)) % 34.02/34.28 (step @p125 :rule refl :args (@t157)) % 34.02/34.28 (step @p126 :rule nary_cong :premises (@p125 @p124) :args ((or @t157 (not @t152)))) % 34.02/34.28 (step @p127 :rule cnf_or_neg :args (@t157 2)) % 34.02/34.28 (step @p128 :rule eq_resolve :premises (@p127 @p126)) % 34.02/34.28 (step @p129 :rule reordering :premises (@p128) :args ((or @t144 @t157))) % 34.02/34.28 (step @p130 :rule chain_m_resolution :premises (@p129 @p123) :args (@t144 @t158 @t159)) % 34.02/34.28 (step @p131 :rule cnf_equiv_pos1 :args (@t163)) % 34.02/34.28 (step @p132 :rule reordering :premises (@p131) :args ((or @t152 @t162 (not @t163)))) % 34.02/34.28 (step @p133 :rule chain_m_resolution :premises (@p132 @p130 @p98) :args (@t162 @t164 (@list @t144 @t163))) % 34.02/34.28 (step @p134 :rule cnf_and_pos :args (@t162 0)) % 34.02/34.28 (step @p135 :rule reordering :premises (@p134) :args ((or @t161 (not @t162)))) % 34.02/34.28 (step @p136 :rule chain_m_resolution :premises (@p135 @p133) :args (@t161 @t165 (@list @t162))) % 34.02/34.28 (step @p137 :rule instantiate :premises (@p136) :args (@t166)) % 34.02/34.28 (step @p138 :rule instantiate :premises (@p97) :args ((@list @t124 @t120 @t126))) % 34.02/34.28 (step @p139 :rule bool-double-not-elim :args (@t153)) % 34.02/34.28 (step @p140 :rule nary_cong :premises (@p125 @p139) :args ((or @t157 (not @t154)))) % 34.02/34.28 (step @p141 :rule cnf_or_neg :args (@t157 1)) % 34.02/34.28 (step @p142 :rule eq_resolve :premises (@p141 @p140)) % 34.02/34.28 (step @p143 :rule reordering :premises (@p142) :args ((or 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(step @p155 :rule cong :premises (@p154) :args (@t172)) % 34.02/34.28 (step @p156 :rule cong :premises (@p155) :args (@t173)) % 34.02/34.28 (step @p157 :rule exists-elim :args ((= @t74 @t173))) % 34.02/34.28 (step @p158 :rule trans :premises (@p157 @p156)) % 34.02/34.28 (step @p159 :rule refl :args (@t31)) % 34.02/34.28 (step @p160 :rule cong :premises (@p159 @p158) :args (@t75)) % 34.02/34.28 (step @p161 :rule cong :premises (@p160) :args (@t76)) % 34.02/34.28 (step @p162 :rule trans :premises (@p161 @p153)) % 34.02/34.28 (step @p163 :rule refl :args (@t77)) % 34.02/34.28 (step @p164 :rule cong :premises (@p163 @p162) :args (@t78)) % 34.02/34.28 (step @p165 :rule cong :premises (@p164) :args (@t79)) % 34.02/34.28 (step @p166 :rule eq_resolve :premises (@p18 @p165)) % 34.02/34.28 (step @p167 :rule instantiate :premises (@p166) :args (@t174)) % 34.02/34.28 (step @p168 :rule aci_norm :args ((= (or @t180 @t179) (or @t178 @t177 @t102 @t176 @t175 @t57)))) % 34.02/34.28 (step @p169 :rule aci_norm :args ((= (or (or @t176 @t175) @t57) @t179))) % 34.02/34.28 (step @p170 :rule refl :args (@t57)) % 34.02/34.28 (step @p171 :rule bool-and-de-morgan :args (@t59 @t58 true)) % 34.02/34.28 (step @p172 :rule nary_cong :premises (@p171 @p170) :args ((or (not @t60) @t57))) % 34.02/34.28 (step @p173 :rule trans :premises (@p172 @p169)) % 34.02/34.28 (step @p174 :rule bool-impl-elim :args (@t60 @t57)) % 34.02/34.28 (step @p175 :rule trans :premises (@p174 @p173)) % 34.02/34.28 (step @p176 :rule aci_norm :args ((= (or @t178 (or @t177 @t102)) @t180))) % 34.02/34.28 (step @p177 :rule bool-and-de-morgan :args (@t62 @t31 true)) % 34.02/34.28 (step @p178 :rule refl :args (@t178)) % 34.02/34.28 (step @p179 :rule nary_cong :premises (@p178 @p177) :args ((or @t178 (not (and @t62 @t31))))) % 34.02/34.28 (step @p180 :rule bool-and-de-morgan :args (@t63 @t62 (and @t31))) % 34.02/34.28 (step @p181 :rule trans :premises (@p180 @p179)) % 34.02/34.28 (step @p182 :rule trans :premises (@p181 @p176)) % 34.02/34.28 (step @p183 :rule nary_cong :premises (@p182 @p175) :args ((or (not @t64) @t61))) % 34.02/34.28 (step @p184 :rule trans :premises (@p183 @p168)) % 34.02/34.28 (step @p185 :rule bool-impl-elim :args (@t64 @t61)) % 34.02/34.28 (step @p186 :rule trans :premises (@p185 @p184)) % 34.02/34.28 (step @p187 :rule cong :premises (@p186) :args (@t66)) % 34.02/34.28 (step @p188 :rule refl :args (@t67)) % 34.02/34.28 (step @p189 :rule cong :premises (@p188 @p187) :args (@t68)) % 34.02/34.28 (step @p190 :rule cong :premises (@p189) :args (@t69)) % 34.02/34.28 (step @p191 :rule eq_resolve :premises (@p17 @p190)) % 34.02/34.28 (step @p192 :rule instantiate :premises (@p191) :args (@t174)) % 34.02/34.28 (step @p193 :rule bool-double-not-elim :args (@t185)) % 34.02/34.28 (step @p194 :rule refl :args (@t198)) % 34.02/34.28 (step @p195 :rule nary_cong :premises (@p194 @p193) :args ((or @t198 (not @t197)))) % 34.02/34.28 (step @p196 :rule cnf_or_neg :args (@t198 0)) % 34.02/34.28 (step @p197 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:premises (@p194 @p209) :args ((or @t198 (not @t192)))) % 34.02/34.28 (step @p211 :rule cnf_or_neg :args (@t198 3)) % 34.02/34.28 (step @p212 :rule eq_resolve :premises (@p211 @p210)) % 34.02/34.28 (step @p213 :rule reordering :premises (@p212) :args ((or @t191 @t198))) % 34.02/34.28 (step @p214 :rule bool-double-not-elim :args (@t189)) % 34.02/34.28 (step @p215 :rule nary_cong :premises (@p194 @p214) :args ((or @t198 (not @t190)))) % 34.02/34.28 (step @p216 :rule cnf_or_neg :args (@t198 4)) % 34.02/34.28 (step @p217 :rule eq_resolve :premises (@p216 @p215)) % 34.02/34.28 (step @p218 :rule reordering :premises (@p217) :args ((or @t189 @t198))) % 34.02/34.28 (step @p219 :rule cnf_or_neg :args (@t198 5)) % 34.02/34.28 (step @p220 :rule instantiate :premises (@p150) :args (@t199)) % 34.02/34.28 (step @p221 :rule cnf_or_pos :args (@t202)) % 34.02/34.28 (step @p222 :rule reordering :premises (@p221) :args ((or @t194 @t201 (not @t202)))) % 34.02/34.28 (step @p223 :rule refl :args (@t209)) % 34.02/34.28 (step @p224 :rule bool-double-not-elim :args (@t200)) % 34.02/34.28 (step @p225 :rule nary_cong :premises (@p224 @p223) :args ((or (not @t201) @t209))) % 34.02/34.28 (assume-push @p671 @t201) % 34.02/34.28 (step @p227 :rule skolemize :premises (@p671)) % 34.02/34.28 (step-pop @p672 :rule scope :premises (@p227)) % 34.02/34.28 (step @p228 :rule process_scope :premises (@p672) :args (@t209)) % 34.02/34.28 (step @p230 :rule implies_elim :premises (@p228)) % 34.02/34.28 (step @p231 :rule eq_resolve :premises (@p230 @p225)) % 34.02/34.28 (step @p232 :rule bool-double-not-elim :args (@t206)) % 34.02/34.28 (step @p233 :rule refl :args (@t208)) % 34.02/34.28 (step @p234 :rule nary_cong :premises (@p233 @p232) :args ((or @t208 (not @t207)))) % 34.02/34.28 (step @p235 :rule cnf_or_neg :args (@t208 0)) % 34.02/34.28 (step @p236 :rule eq_resolve :premises (@p235 @p234)) % 34.02/34.28 (step @p237 :rule reordering :premises (@p236) :args ((or @t206 @t208))) % 34.02/34.28 (step @p238 :rule bool-double-not-elim :args (@t204)) % 34.02/34.28 (step @p239 :rule nary_cong :premises (@p233 @p238) :args ((or @t208 (not @t205)))) % 34.02/34.28 (step @p240 :rule cnf_or_neg :args (@t208 1)) % 34.02/34.28 (step @p241 :rule eq_resolve :premises (@p240 @p239)) % 34.02/34.28 (step @p242 :rule reordering :premises (@p241) :args ((or @t204 @t208))) % 34.02/34.28 (step @p243 :rule instantiate :premises (@p60) :args ((@list @t124 @t117 @t118 @t120 @t126 @t186 @t203))) % 34.02/34.29 (step @p244 :rule cnf_or_pos :args (@t215)) % 34.02/34.29 (step @p245 :rule reordering :premises (@p244) :args ((or @t196 @t207 @t214 (not @t215)))) % 34.02/34.29 (step @p246 :rule instantiate :premises (@p60) :args ((@list @t124 @t117 @t118 @t120 @t126 @t184 @t203))) % 34.02/34.29 (step @p247 :rule cnf_or_pos :args (@t220)) % 34.02/34.29 (step @p248 :rule reordering :premises (@p247) :args ((or @t197 @t207 @t219 (not @t220)))) % 34.02/34.29 (step @p249 :rule cnf_or_pos :args (@t221)) % 34.02/34.29 (step @p250 :rule reordering :premises (@p249) :args ((or @t194 @t190 @t205 (not @t221)))) % 34.02/34.29 (assume-push @p673 @t211) % 34.02/34.29 (step @p252 :rule instantiate :premises (@p673) :args (@t199)) % 34.02/34.29 (step-pop @p674 :rule scope :premises (@p252)) % 34.02/34.29 (step @p253 :rule process_scope :premises (@p674) :args (@t221)) % 34.02/34.29 (step @p255 :rule implies_elim :premises (@p253)) % 34.02/34.29 (step @p256 :rule bool-double-not-elim :args (@t211)) % 34.02/34.29 (step @p257 :rule refl :args (@t213)) % 34.02/34.29 (step @p258 :rule refl :args (@t222)) % 34.02/34.29 (step @p259 :rule nary_cong :premises (@p258 @p257 @p256) :args ((or @t222 @t213 (not @t212)))) % 34.02/34.29 (step @p260 :rule cnf_equiv_pos2 :args (@t214)) % 34.02/34.29 (step @p261 :rule eq_resolve :premises (@p260 @p259)) % 34.02/34.29 (step @p262 :rule reordering :premises (@p261) :args ((or @t213 @t211 @t222))) % 34.02/34.29 (step @p263 :rule instantiate :premises (@p191) :args (@t223)) % 34.02/34.29 (step @p264 :rule instantiate :premises (@p19) :args (@t223)) % 34.02/34.29 (step @p265 :rule bool-double-not-elim :args (@t150)) % 34.02/34.29 (step @p266 :rule nary_cong :premises (@p125 @p265) :args ((or @t157 (not @t151)))) % 34.02/34.29 (step @p267 :rule cnf_or_neg :args (@t157 3)) % 34.02/34.29 (step @p268 :rule eq_resolve :premises (@p267 @p266)) % 34.02/34.29 (step @p269 :rule reordering :premises (@p268) :args ((or @t150 @t157))) % 34.02/34.29 (step @p270 :rule chain_m_resolution :premises (@p269 @p123) :args (@t150 @t158 @t159)) % 34.02/34.29 (step @p271 :rule cnf_equiv_pos1 :args (@t227)) % 34.02/34.29 (step @p272 :rule reordering :premises (@p271) :args ((or @t151 @t226 (not @t227)))) % 34.02/34.29 (step @p273 :rule chain_m_resolution :premises (@p272 @p270 @p264) :args (@t226 @t164 (@list @t150 @t227))) % 34.02/34.29 (step @p274 :rule cnf_and_pos :args (@t226 0)) % 34.02/34.29 (step @p275 :rule reordering :premises (@p274) :args ((or @t225 @t228))) % 34.02/34.29 (step @p276 :rule chain_m_resolution :premises (@p275 @p273) :args (@t225 @t165 @t229)) % 34.02/34.29 (step @p277 :rule cnf_equiv_pos1 :args (@t231)) % 34.02/34.29 (step @p278 :rule reordering :premises (@p277) :args ((or (not @t225) @t230 (not @t231)))) % 34.02/34.29 (step @p279 :rule chain_m_resolution :premises (@p278 @p276 @p263) :args (@t230 @t164 (@list @t225 @t231))) % 34.02/34.29 (step @p280 :rule eq-symm :args (@t186 @t184)) % 34.02/34.29 (step @p281 :rule refl :args (@t232)) % 34.02/34.29 (step @p282 :rule refl :args (@t233)) % 34.02/34.29 (step @p283 :rule refl :args (@t207)) % 34.02/34.29 (step @p284 :rule refl :args (@t197)) % 34.02/34.29 (step @p285 :rule refl :args (@t196)) % 34.02/34.29 (step @p286 :rule nary_cong :premises (@p285 @p284 @p283 @p282 @p281 @p280) :args (@t234)) % 34.02/34.29 (step @p287 :rule refl :args (@t230)) % 34.02/34.29 (step @p288 :rule cong :premises (@p287 @p286) :args ((=> @t230 @t234))) % 34.02/34.29 (assume-push @p675 @t230) % 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(@t219)) % 34.02/34.29 (step @p303 :rule eq_resolve :premises (@p302 @p301)) % 34.02/34.29 (step @p304 :rule reordering :premises (@p303) :args ((or @t218 @t216 @t236))) % 34.02/34.29 (step @p305 :rule cnf_or_pos :args (@t237)) % 34.02/34.29 (step @p306 :rule reordering :premises (@p305) :args ((or @t194 @t192 @t205 (not @t237)))) % 34.02/34.29 (assume-push @p677 @t216) % 34.02/34.29 (step @p308 :rule instantiate :premises (@p677) :args (@t199)) % 34.02/34.29 (step-pop @p678 :rule scope :premises (@p308)) % 34.02/34.29 (step @p309 :rule process_scope :premises (@p678) :args (@t237)) % 34.02/34.29 (step @p311 :rule implies_elim :premises (@p309)) % 34.02/34.29 (step @p312 :rule chain_m_resolution :premises (@p311 @p306 @p304 @p297 @p295 @p262 @p255 @p250 @p248 @p246 @p245 @p243 @p242 @p237 @p231 @p222 @p220 @p219 @p218 @p213 @p208 @p203 @p198) :args (@t198 (@list true false true false false true true false false false false false false true true false true false false false false false) 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34.02/34.29 (step @p503 :rule chain_m_resolution :premises (@p502 @p497) :args (@t328 @t165 (@list @t249))) % 34.02/34.29 (step @p504 :rule cnf_or_pos :args (@t328)) % 34.02/34.29 (step @p505 :rule reordering :premises (@p504) :args ((or @t315 @t327 (not @t328)))) % 34.02/34.29 (step @p506 :rule chain_m_resolution :premises (@p505 @p471 @p503) :args (@t327 @t164 (@list @t314 @t328))) % 34.02/34.29 (step @p507 :rule refl :args (@t329)) % 34.02/34.29 (step @p508 :rule refl :args (@t322)) % 34.02/34.29 (step @p509 :rule bool-double-not-elim :args (@t326)) % 34.02/34.29 (step @p510 :rule nary_cong :premises (@p509 @p508 @p507) :args ((or (not @t327) @t322 @t329))) % 34.02/34.29 (assume-push @p695 @t327) % 34.02/34.29 (assume-push @p696 @t298) % 34.02/34.29 (assume-push @p697 @t321) % 34.02/34.29 (step @p514 :rule evaluate :args ((= true false))) % 34.02/34.29 (step @p515 :rule false_intro :premises (@p695)) % 34.02/34.29 (step @p516 :rule symm :premises (@p696)) % 34.02/34.29 (step @p517 :rule refl :args (@t288)) % 34.02/34.29 (step @p518 :rule refl :args (@t117)) % 34.02/34.29 (step @p519 :rule cong :premises (@p518 @p517 @p516) :args (@t321)) % 34.02/34.29 (step @p520 :rule true_intro :premises (@p697)) % 34.02/34.29 (step @p521 :rule symm :premises (@p520)) % 34.02/34.29 (step @p522 :rule trans :premises (@p521 @p519 @p515)) % 34.02/34.29 (step @p523 false :rule eq_resolve :premises (@p522 @p514)) % 34.02/34.29 (step-pop @p698 :rule scope :premises (@p523)) % 34.02/34.29 (step-pop @p699 :rule scope :premises (@p698)) % 34.02/34.29 (step-pop @p700 :rule scope :premises (@p699)) % 34.02/34.29 (step @p524 :rule process_scope :premises (@p700) :args (false)) % 34.02/34.29 (assume-push @p701 @t327) % 34.02/34.29 (assume-push @p702 @t321) % 34.02/34.29 (assume-push @p703 @t298) % 34.02/34.29 (step @p531 :rule and_intro :premises (@p701 @p703 @p702)) % 34.02/34.29 (step-pop @p704 :rule scope :premises (@p531)) % 34.02/34.29 (step-pop @p705 :rule scope :premises (@p704)) % 34.02/34.29 (step-pop @p706 :rule scope :premises (@p705)) % 34.02/34.29 (step @p532 :rule process_scope :premises (@p706) :args (@t330)) % 34.02/34.29 (step @p536 :rule implies_elim :premises (@p532)) % 34.02/34.29 (step @p537 :rule resolution :premises (@p536 @p524) :args (true @t330)) % 34.02/34.29 (step @p538 :rule not_and :premises (@p537)) % 34.02/34.29 (step @p539 :rule eq_resolve :premises (@p538 @p510)) % 34.02/34.29 (step @p540 :rule chain_m_resolution :premises (@p539 @p506 @p491) :args (@t329 @t246 (@list @t326 @t321))) % 34.02/34.29 (step @p541 :rule instantiate :premises (@p60) :args ((@list @t130 @t124 @t120 @t126 @t118 @t291 @t133))) % 34.02/34.29 (step @p542 :rule bool-double-not-elim :args (@t295)) % 34.02/34.29 (step @p543 :rule nary_cong :premises (@p486 @p542) :args ((or @t323 (not @t296)))) % 34.02/34.29 (step @p544 :rule cnf_or_neg :args (@t323 0)) % 34.02/34.29 (step @p545 :rule eq_resolve :premises (@p544 @p543)) % 34.02/34.29 (step @p546 :rule reordering :premises (@p545) :args ((or @t295 @t323))) % 34.02/34.29 (step @p547 :rule chain_m_resolution :premises (@p546 @p484) :args (@t295 @t158 @t325)) % 34.02/34.29 (step @p548 :rule cnf_or_pos :args (@t334)) % 34.02/34.29 (step @p549 :rule reordering :premises (@p548) :args ((or @t270 @t296 @t333 (not @t334)))) % 34.02/34.29 (step @p550 :rule chain_m_resolution :premises (@p549 @p393 @p547 @p541) :args (@t333 @t280 (@list @t269 @t295 @t334))) % 34.02/34.29 (step @p551 :rule cnf_and_pos :args (@t303 1)) % 34.02/34.29 (step @p552 :rule reordering :premises (@p551) :args ((or @t301 @t305))) % 34.02/34.29 (step @p553 :rule chain_m_resolution :premises (@p552 @p439) :args (@t301 @t165 @t306)) % 34.02/34.29 (step @p554 :rule instantiate :premises (@p553) :args ((@list @t288 @t291 @t336))) % 34.02/34.29 (step @p555 :rule instantiate :premises (@p60) :args ((@list @t124 @t117 @t118 @t120 @t126 @t288 @t129))) % 34.02/34.29 (step @p556 :rule cnf_or_pos :args (@t339)) % 34.02/34.29 (step @p557 :rule reordering :premises (@p556) :args ((or @t261 @t315 @t338 (not @t339)))) % 34.02/34.29 (step @p558 :rule chain_m_resolution :premises (@p557 @p373 @p471 @p555) :args (@t338 @t280 (@list @t260 @t314 @t339))) % 34.02/34.29 (step @p559 :rule bool-double-not-elim :args (@t312)) % 34.02/34.29 (step @p560 :rule nary_cong :premises (@p466 @p559) :args ((or @t316 (not @t313)))) % 34.02/34.29 (step @p561 :rule cnf_or_neg :args (@t316 1)) % 34.02/34.29 (step @p562 :rule eq_resolve :premises (@p561 @p560)) % 34.02/34.29 (step @p563 :rule reordering :premises (@p562) :args ((or @t312 @t316))) % 34.02/34.29 (step @p564 :rule chain_m_resolution :premises (@p563 @p464) :args (@t312 @t158 @t318)) % 34.02/34.29 (step @p565 :rule cnf_equiv_pos1 :args (@t338)) % 34.02/34.29 (step @p566 :rule reordering :premises (@p565) :args ((or @t313 @t337 (not @t338)))) % 34.02/34.29 (step @p567 :rule chain_m_resolution :premises (@p566 @p564 @p558) :args (@t337 @t164 (@list @t312 @t338))) % 34.02/34.29 (step @p568 :rule refl :args (@t347)) % 34.02/34.29 (step @p569 :rule bool-double-not-elim :args (@t335)) % 34.02/34.29 (step @p570 :rule nary_cong :premises (@p569 @p568) :args ((or (not @t337) @t347))) % 34.02/34.29 (assume-push @p707 @t337) % 34.02/34.29 (step @p572 :rule skolemize :premises (@p707)) % 34.02/34.29 (step-pop @p708 :rule scope :premises (@p572)) % 34.02/34.29 (step @p573 :rule process_scope :premises (@p708) :args (@t347)) % 34.02/34.29 (step @p575 :rule implies_elim :premises (@p573)) % 34.02/34.29 (step @p576 :rule eq_resolve :premises (@p575 @p570)) % 34.02/34.29 (step @p577 :rule chain_m_resolution :premises (@p576 @p567) :args (@t347 @t158 (@list @t335))) % 34.02/34.29 (step @p578 :rule bool-double-not-elim :args (@t342)) % 34.02/34.29 (step @p579 :rule refl :args (@t346)) % 34.02/34.29 (step @p580 :rule nary_cong :premises (@p579 @p578) :args ((or @t346 (not @t343)))) % 34.02/34.29 (step @p581 :rule cnf_or_neg :args (@t346 1)) % 34.02/34.29 (step @p582 :rule eq_resolve :premises (@p581 @p580)) % 34.02/34.29 (step @p583 :rule reordering :premises (@p582) :args ((or @t342 @t346))) % 34.02/34.29 (step @p584 :rule chain_m_resolution :premises (@p583 @p577) :args (@t342 @t158 @t348)) % 34.02/34.29 (step @p585 :rule bool-double-not-elim :args (@t344)) % 34.02/34.29 (step @p586 :rule nary_cong :premises (@p579 @p585) :args ((or @t346 (not @t345)))) % 34.02/34.29 (step @p587 :rule cnf_or_neg :args (@t346 0)) % 34.02/34.29 (step @p588 :rule eq_resolve :premises (@p587 @p586)) % 34.02/34.29 (step @p589 :rule reordering :premises (@p588) :args ((or @t344 @t346))) % 34.02/34.29 (step @p590 :rule chain_m_resolution :premises (@p589 @p577) :args (@t344 @t158 @t348)) % 34.02/34.29 (step @p591 :rule cnf_or_pos :args (@t350)) % 34.02/34.29 (step @p592 :rule reordering :premises (@p591) :args ((or @t315 @t296 @t322 @t345 @t343 @t349 (not @t350)))) % 34.02/34.29 (step @p593 :rule chain_m_resolution :premises (@p592 @p471 @p547 @p491 @p590 @p584 @p554) :args (@t349 (@list false false false false false false) (@list @t314 @t295 @t321 @t344 @t342 @t350))) % 34.02/34.29 (step @p594 :rule bool-double-not-elim :args (@t340)) % 34.02/34.29 (step @p595 :rule nary_cong :premises (@p579 @p594) :args ((or @t346 (not @t341)))) % 34.02/34.29 (step @p596 :rule cnf_or_neg :args (@t346 2)) % 34.02/34.29 (step @p597 :rule eq_resolve :premises (@p596 @p595)) % 34.02/34.29 (step @p598 :rule reordering :premises (@p597) :args ((or @t340 @t346))) % 34.02/34.29 (step @p599 :rule chain_m_resolution :premises (@p598 @p577) :args (@t340 @t158 @t348)) % 34.02/34.29 (assume-push @p709 @t340) % 34.02/34.29 (assume-push @p710 @t349) % 34.02/34.29 (assume-push @p711 @t340) % 34.02/34.29 (assume-push @p712 @t349) % 34.02/34.29 (step @p604 :rule true_intro :premises (@p709)) % 34.02/34.29 (step @p605 :rule refl :args (@t129)) % 34.02/34.29 (step @p606 :rule refl :args (@t124)) % 34.02/34.29 (step @p607 :rule cong :premises (@p606 @p710 @p605) :args (@t351)) % 34.02/34.29 (step @p608 :rule trans :premises (@p607 @p604)) % 34.02/34.29 (step @p609 :rule true_elim :premises (@p608)) % 34.02/34.29 (step-pop @p713 :rule scope :premises (@p609)) % 34.02/34.29 (step-pop @p714 :rule scope :premises (@p713)) % 34.02/34.29 (step @p610 :rule process_scope :premises (@p714) :args (@t351)) % 34.02/34.29 (step @p613 :rule and_intro :premises (@p709 @p710)) % 34.02/34.29 (step @p614 :rule modus_ponens :premises (@p613 @p610)) % 34.02/34.29 (step-pop @p715 :rule scope :premises (@p614)) % 34.02/34.29 (step-pop @p716 :rule scope :premises (@p715)) % 34.02/34.29 (step @p615 :rule process_scope :premises (@p716) :args (@t351)) % 34.02/34.29 (step @p618 :rule implies_elim :premises (@p615)) % 34.02/34.29 (step @p619 :rule cnf_and_neg :args (@t352)) % 34.02/34.29 (step @p620 :rule resolution :premises (@p619 @p618) :args (true @t352)) % 34.02/34.29 (step @p621 :rule chain_m_resolution :premises (@p620 @p599 @p593) :args (@t351 @t164 (@list @t340 @t349))) % 34.02/34.29 (step @p622 :rule bool-double-not-elim :args (@t267)) % 34.02/34.29 (step @p623 :rule nary_cong :premises (@p388 @p622) :args ((or @t271 (not @t268)))) % 34.02/34.29 (step @p624 :rule cnf_or_neg :args (@t271 1)) % 34.02/34.29 (step @p625 :rule eq_resolve :premises (@p624 @p623)) % 34.02/34.29 (step @p626 :rule reordering :premises (@p625) :args ((or @t267 @t271))) % 34.02/34.29 (step @p627 :rule chain_m_resolution :premises (@p626 @p386) :args (@t267 @t158 @t273)) % 34.02/34.29 (step @p628 :rule cnf_or_pos :args (@t354)) % 34.02/34.29 (step @p629 :rule reordering :premises (@p628) :args ((or @t261 @t268 @t353 @t355))) % 34.02/34.29 (step @p630 :rule chain_m_resolution :premises (@p629 @p373 @p627 @p621) :args (@t355 @t280 (@list @t260 @t267 @t351))) % 34.02/34.29 (assume-push @p717 @t331) % 34.02/34.29 (step @p632 :rule instantiate :premises (@p717) :args (@t166)) % 34.02/34.29 (step-pop @p718 :rule scope :premises (@p632)) % 34.02/34.29 (step @p633 :rule process_scope :premises (@p718) :args (@t354)) % 34.02/34.29 (step @p635 :rule implies_elim :premises (@p633)) % 34.02/34.29 (step @p636 :rule chain_m_resolution :premises (@p635 @p630) :args (@t332 @t158 (@list @t354))) % 34.02/34.29 (step @p637 :rule bool-double-not-elim :args (@t331)) % 34.02/34.29 (step @p638 :rule refl :args (@t293)) % 34.02/34.29 (step @p639 :rule refl :args (@t356)) % 34.02/34.29 (step @p640 :rule nary_cong :premises (@p639 @p638 @p637) :args ((or @t356 @t293 (not @t332)))) % 34.02/34.29 (step @p641 :rule cnf_equiv_pos2 :args (@t333)) % 34.02/34.29 (step @p642 :rule eq_resolve :premises (@p641 @p640)) % 34.02/34.29 (step @p643 :rule reordering :premises (@p642) :args ((or @t293 @t331 @t356))) % 34.02/34.29 (step @p644 :rule chain_m_resolution :premises (@p643 @p636 @p550) :args (@t293 @t246 (@list @t331 @t333))) % 34.02/34.29 (step @p645 :rule cnf_or_pos :args (@t299)) % 34.02/34.29 (step @p646 :rule reordering :premises (@p645) :args ((or @t252 @t270 @t292 @t296 @t294 @t298 (not @t299)))) % 34.02/34.29 (step @p647 :rule chain_m_resolution :premises (@p646 @p353 @p393 @p547 @p644 @p540 @p429) :args (@t292 (@list false false false false true false) (@list @t251 @t269 @t295 @t293 @t298 @t299))) % 34.02/34.29 (step @p648 :rule bool-double-not-elim :args (@t275)) % 34.02/34.29 (step @p649 :rule refl :args (@t277)) % 34.02/34.29 (step @p650 :rule refl :args (@t357)) % 34.02/34.29 (step @p651 :rule nary_cong :premises (@p650 @p649 @p648) :args ((or @t357 @t277 (not @t276)))) % 34.02/34.29 (step @p652 :rule cnf_equiv_pos2 :args (@t278)) % 34.02/34.29 (step @p653 :rule eq_resolve :premises (@p652 @p651)) % 34.02/34.29 (step @p654 :rule reordering :premises (@p653) :args ((or @t277 @t275 @t357))) % 34.02/34.29 (step @p655 :rule chain_m_resolution :premises (@p654 @p647 @p396) :args (@t275 @t246 (@list @t277 @t278))) % 34.02/34.29 (step @p656 :rule bool-double-not-elim :args (@t258)) % 34.02/34.29 (step @p657 :rule nary_cong :premises (@p368 @p656) :args ((or @t262 (not @t259)))) % 34.02/34.29 (step @p658 :rule cnf_or_neg :args (@t262 1)) % 34.02/34.29 (step @p659 :rule eq_resolve :premises (@p658 @p657)) % 34.02/34.29 (step @p660 :rule reordering :premises (@p659) :args ((or @t258 @t262))) % 34.02/34.29 (step @p661 :rule chain_m_resolution :premises (@p660 @p366) :args (@t258 @t158 @t264)) % 34.02/34.29 (step @p662 :rule cnf_or_pos :args (@t358)) % 34.02/34.29 (step @p663 :rule reordering :premises (@p662) :args ((or @t261 @t259 @t268 @t359))) % 34.02/34.29 (step @p664 :rule chain_m_resolution :premises (@p663 @p373 @p661 @p627) :args (@t359 @t280 (@list @t260 @t258 @t267))) % 34.02/34.29 (assume-push @p719 @t275) % 34.02/34.29 (step @p666 :rule instantiate :premises (@p719) :args (@t166)) % 34.02/34.29 (step-pop @p720 :rule scope :premises (@p666)) % 34.02/34.29 (step @p667 :rule process_scope :premises (@p720) :args (@t358)) % 34.02/34.29 (step @p669 :rule implies_elim :premises (@p667)) % 34.02/34.29 (step @p670 false :rule chain_m_resolution :premises (@p669 @p664 @p655) :args (false @t246 (@list @t358 @t275))) % 34.02/34.29 ) % 34.02/34.29 % SZS output end Proof % 34.02/34.29 % cvc5 exiting %------------------------------------------------------------------------------