%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET726+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 : n021.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:48:31 AM UTC 2026 % Result : Theorem 0.47s 0.65s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET726+4 : TPTP v9.2.1. Bugfixed v2.2.1. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n021.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 16:11:35 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.47/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.47/0.65 % SZS status Theorem % 0.47/0.65 % SZS output start Proof % 0.47/0.65 ( % 0.47/0.65 (declare-sort $$unsorted 0) % 0.47/0.65 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.65 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.inverse_function (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.65 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.65 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.47/0.65 (declare-const tptp.empty_set $$unsorted) % 0.47/0.65 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.65 (declare-const tptp.equal_maps (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.47/0.65 (declare-const tptp.one_to_one (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.47/0.65 (declare-const tptp.image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.65 (declare-const tptp.increasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.47/0.65 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.surjective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.isomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.compose_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.identity (-> $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.injective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.compose_function (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.65 (declare-const tptp.inverse_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.65 (declare-const tptp.image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.65 (declare-const tptp.inverse_image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.65 (declare-const tptp.decreasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.inverse_image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.65 (define @t1 () (@var "B" $$unsorted)) % 0.47/0.65 (define @t2 () (@var "X" $$unsorted)) % 0.47/0.65 (define @t3 () (tptp.member @t2 @t1)) % 0.47/0.65 (define @t4 () (@var "A" $$unsorted)) % 0.47/0.65 (define @t5 () (tptp.member @t2 @t4)) % 0.47/0.65 (define @t6 () (@list @t2)) % 0.47/0.65 (define @t7 () (tptp.subset @t4 @t1)) % 0.47/0.65 (define @t8 () (@list @t4 @t1)) % 0.47/0.65 (define @t9 () (@list @t2 @t4)) % 0.47/0.65 (define @t10 () (@list @t2 @t4 @t1)) % 0.47/0.65 (define @t11 () (@var "E" $$unsorted)) % 0.47/0.65 (define @t12 () (= @t2 @t4)) % 0.47/0.65 (define @t13 () (@var "Y" $$unsorted)) % 0.47/0.65 (define @t14 () (tptp.member @t2 @t13)) % 0.47/0.65 (define @t15 () (tptp.member @t13 @t4)) % 0.47/0.65 (define @t16 () (@list @t13)) % 0.47/0.65 (define @t17 () (@var "Y2" $$unsorted)) % 0.47/0.65 (define @t18 () (@var "Y1" $$unsorted)) % 0.47/0.65 (define @t19 () (= @t18 @t17)) % 0.47/0.65 (define @t20 () (@var "F" $$unsorted)) % 0.47/0.65 (define @t21 () (tptp.apply @t20 @t2 @t17)) % 0.47/0.65 (define @t22 () (tptp.apply @t20 @t2 @t18)) % 0.47/0.65 (define @t23 () (and @t22 @t21)) % 0.47/0.65 (define @t24 () (=> @t23 @t19)) % 0.47/0.65 (define @t25 () (tptp.member @t17 @t1)) % 0.47/0.65 (define @t26 () (tptp.member @t18 @t1)) % 0.47/0.65 (define @t27 () (and @t5 @t26 @t25)) % 0.47/0.65 (define @t28 () (@list @t2 @t18 @t17)) % 0.47/0.65 (define @t29 () (forall @t28 (=> @t27 @t24))) % 0.47/0.65 (define @t30 () (tptp.apply @t20 @t2 @t13)) % 0.47/0.65 (define @t31 () (tptp.member @t13 @t1)) % 0.47/0.65 (define @t32 () (and @t31 @t30)) % 0.47/0.65 (define @t33 () (exists @t16 @t32)) % 0.47/0.65 (define @t34 () (=> @t5 @t33)) % 0.47/0.65 (define @t35 () (forall @t6 @t34)) % 0.47/0.65 (define @t36 () (and @t35 @t29)) % 0.47/0.65 (define @t37 () (tptp.maps @t20 @t4 @t1)) % 0.47/0.65 (define @t38 () (= @t37 @t36)) % 0.47/0.65 (define @t39 () (@list @t20 @t4 @t1)) % 0.47/0.65 (define @t40 () (forall @t39 @t38)) % 0.47/0.65 (define @t41 () (@var "Z" $$unsorted)) % 0.47/0.65 (define @t42 () (@var "G" $$unsorted)) % 0.47/0.65 (define @t43 () (tptp.apply @t42 @t13 @t41)) % 0.47/0.65 (define @t44 () (and @t31 @t30 @t43)) % 0.47/0.65 (define @t45 () (exists @t16 @t44)) % 0.47/0.65 (define @t46 () (@var "H" $$unsorted)) % 0.47/0.65 (define @t47 () (@var "C" $$unsorted)) % 0.47/0.65 (define @t48 () (tptp.member @t41 @t47)) % 0.47/0.65 (define @t49 () (and @t5 @t48)) % 0.47/0.65 (define @t50 () (tptp.apply (tptp.compose_function @t42 @t20 @t4 @t1 @t47) @t2 @t41)) % 0.47/0.65 (define @t51 () (=> @t49 (= @t50 @t45))) % 0.47/0.65 (define @t52 () (@list @t42 @t20 @t4 @t1 @t47 @t2 @t41)) % 0.47/0.65 (define @t53 () (forall @t52 @t51)) % 0.47/0.65 (define @t54 () (tptp.apply @t42 @t2 @t17)) % 0.47/0.65 (define @t55 () (and @t22 @t54)) % 0.47/0.65 (define @t56 () (=> @t55 @t19)) % 0.47/0.65 (define @t57 () (forall @t28 (=> @t27 @t56))) % 0.47/0.65 (define @t58 () (tptp.equal_maps @t20 @t42 @t4 @t1)) % 0.47/0.65 (define @t59 () (= @t58 @t57)) % 0.47/0.65 (define @t60 () (forall (@list @t20 @t42 @t4 @t1) @t59)) % 0.47/0.65 (define @t61 () (tptp.apply @t20 @t2 @t2)) % 0.47/0.65 (define @t62 () (forall @t6 (=> @t5 @t61))) % 0.47/0.65 (define @t63 () (tptp.identity @t20 @t4)) % 0.47/0.65 (define @t64 () (= @t63 @t62)) % 0.47/0.65 (define @t65 () (forall (@list @t20 @t4) @t64)) % 0.47/0.65 (define @t66 () (@var "X2" $$unsorted)) % 0.47/0.65 (define @t67 () (@var "X1" $$unsorted)) % 0.47/0.65 (define @t68 () (tptp.member @t66 @t4)) % 0.47/0.65 (define @t69 () (tptp.member @t67 @t4)) % 0.47/0.65 (define @t70 () (tptp.injective @t20 @t4 @t1)) % 0.47/0.65 (define @t71 () (tptp.surjective @t20 @t4 @t1)) % 0.47/0.65 (define @t72 () (tptp.one_to_one @t20 @t4 @t1)) % 0.47/0.65 (define @t73 () (and @t5 @t31)) % 0.47/0.65 (define @t74 () (tptp.inverse_function @t20 @t4 @t1)) % 0.47/0.65 (define @t75 () (= @t30 (tptp.apply @t74 @t13 @t2))) % 0.47/0.65 (define @t76 () (@list @t20 @t4 @t1 @t2 @t13)) % 0.47/0.65 (define @t77 () (forall @t76 (=> @t73 @t75))) % 0.47/0.65 (define @t78 () (exists @t6 (and @t5 @t30))) % 0.47/0.65 (define @t79 () (@var "S" $$unsorted)) % 0.47/0.65 (define @t80 () (tptp.apply @t79 @t18 @t17)) % 0.47/0.65 (define @t81 () (tptp.apply @t20 @t66 @t17)) % 0.47/0.65 (define @t82 () (tptp.apply @t20 @t67 @t18)) % 0.47/0.65 (define @t83 () (@var "R" $$unsorted)) % 0.47/0.65 (define @t84 () (tptp.apply @t83 @t67 @t66)) % 0.47/0.65 (define @t85 () (and @t69 @t26 @t68 @t25 @t84 @t82 @t81)) % 0.47/0.65 (define @t86 () (@list @t67 @t18 @t66 @t17)) % 0.47/0.65 (define @t87 () (@list @t20 @t4 @t83 @t1 @t79)) % 0.47/0.65 (define @t88 () (tptp.equal_maps @t74 @t42 @t1 @t4)) % 0.47/0.65 (define @t89 () (tptp.identity (tptp.compose_function @t20 @t46 @t1 @t4 @t1) @t1)) % 0.47/0.65 (define @t90 () (tptp.identity (tptp.compose_function @t42 @t20 @t4 @t1 @t4) @t4)) % 0.47/0.65 (define @t91 () (tptp.maps @t46 @t1 @t4)) % 0.47/0.65 (define @t92 () (tptp.maps @t42 @t1 @t4)) % 0.47/0.65 (define @t93 () (and @t37 @t92 @t91 @t90 @t89)) % 0.47/0.65 (define @t94 () (@list @t20 @t42 @t46 @t4 @t1)) % 0.47/0.65 (define @t95 () (forall @t94 (=> @t93 @t88))) % 0.47/0.65 (define @t96 () (not @t95)) % 0.47/0.65 (define @t97 () (not @t21)) % 0.47/0.65 (define @t98 () (not @t22)) % 0.47/0.65 (define @t99 () (not @t25)) % 0.47/0.65 (define @t100 () (not @t26)) % 0.47/0.65 (define @t101 () (not @t5)) % 0.47/0.65 (define @t102 () (or @t98 @t97 @t19)) % 0.47/0.65 (define @t103 () (or @t101 @t100 @t99)) % 0.47/0.65 (define @t104 () (not @t27)) % 0.47/0.65 (define @t105 () (not @t30)) % 0.47/0.65 (define @t106 () (not @t31)) % 0.47/0.65 (define @t107 () (not (forall @t16 (or @t106 @t105)))) % 0.47/0.65 (define @t108 () (forall @t16 (not @t32))) % 0.47/0.65 (define @t109 () (not @t108)) % 0.47/0.65 (define @t110 () (not @t89)) % 0.47/0.65 (define @t111 () (not @t90)) % 0.47/0.65 (define @t112 () (not @t91)) % 0.47/0.65 (define @t113 () (not @t92)) % 0.47/0.65 (define @t114 () (not @t37)) % 0.47/0.65 (define @t115 () (or @t114 @t113 @t112 @t111 @t110 @t88)) % 0.47/0.65 (define @t116 () (forall @t94 @t115)) % 0.47/0.65 (define @t117 () (@quantifiers_skolemize @t116 3)) % 0.47/0.65 (define @t118 () (@quantifiers_skolemize @t116 4)) % 0.47/0.65 (define @t119 () (@quantifiers_skolemize @t116 1)) % 0.47/0.65 (define @t120 () (or @t114 @t113 @t112 @t111 @t110)) % 0.47/0.65 (define @t121 () (tptp.maps @t119 @t118 @t117)) % 0.47/0.65 (define @t122 () (@quantifiers_skolemize @t116 0)) % 0.47/0.65 (define @t123 () (tptp.inverse_function @t122 @t117 @t118)) % 0.47/0.65 (define @t124 () (tptp.equal_maps @t123 @t119 @t118 @t117)) % 0.47/0.65 (define @t125 () (@quantifiers_skolemize @t116 2)) % 0.47/0.65 (define @t126 () (tptp.compose_function @t119 @t122 @t117 @t118 @t117)) % 0.47/0.65 (define @t127 () (tptp.identity @t126 @t117)) % 0.47/0.65 (define @t128 () (not @t127)) % 0.47/0.65 (define @t129 () (not @t121)) % 0.47/0.65 (define @t130 () (tptp.maps @t122 @t117 @t118)) % 0.47/0.65 (define @t131 () (not @t130)) % 0.47/0.65 (define @t132 () (or @t131 @t129 (not (tptp.maps @t125 @t118 @t117)) @t128 (not (tptp.identity (tptp.compose_function @t122 @t125 @t118 @t117 @t118) @t118)) @t124)) % 0.47/0.65 (define @t133 () (@list true)) % 0.47/0.65 (define @t134 () (@list @t132)) % 0.47/0.65 (define @t135 () (not (tptp.apply @t119 @t2 @t17))) % 0.47/0.65 (define @t136 () (not (tptp.member @t17 @t117))) % 0.47/0.65 (define @t137 () (not (tptp.member @t18 @t117))) % 0.47/0.65 (define @t138 () (not (tptp.member @t2 @t118))) % 0.47/0.65 (define @t139 () (forall @t28 (or @t138 @t137 @t136 (not (tptp.apply @t119 @t2 @t18)) @t135 @t19))) % 0.47/0.65 (define @t140 () (and (forall @t6 (or @t138 (not (forall @t16 (or (not (tptp.member @t13 @t117)) (not (tptp.apply @t119 @t2 @t13))))))) @t139)) % 0.47/0.65 (define @t141 () (= @t121 @t140)) % 0.47/0.65 (define @t142 () (@list false false)) % 0.47/0.65 (define @t143 () (@list false)) % 0.47/0.65 (define @t144 () (forall @t28 (or @t138 @t137 @t136 (not (tptp.apply @t123 @t2 @t18)) @t135 @t19))) % 0.47/0.65 (define @t145 () (@quantifiers_skolemize @t144 2)) % 0.47/0.65 (define @t146 () (@quantifiers_skolemize @t144 1)) % 0.47/0.65 (define @t147 () (@quantifiers_skolemize @t144 0)) % 0.47/0.65 (define @t148 () (not @t54)) % 0.47/0.65 (define @t149 () (or @t98 @t148 @t19)) % 0.47/0.65 (define @t150 () (= @t124 @t144)) % 0.47/0.65 (define @t151 () (not @t144)) % 0.47/0.65 (define @t152 () (= @t146 @t145)) % 0.47/0.65 (define @t153 () (tptp.apply @t119 @t147 @t145)) % 0.47/0.65 (define @t154 () (not @t153)) % 0.47/0.65 (define @t155 () (tptp.apply @t123 @t147 @t146)) % 0.47/0.65 (define @t156 () (not @t155)) % 0.47/0.65 (define @t157 () (tptp.member @t145 @t117)) % 0.47/0.65 (define @t158 () (not @t157)) % 0.47/0.65 (define @t159 () (tptp.member @t146 @t117)) % 0.47/0.65 (define @t160 () (not @t159)) % 0.47/0.65 (define @t161 () (tptp.member @t147 @t118)) % 0.47/0.65 (define @t162 () (not @t161)) % 0.47/0.65 (define @t163 () (or @t162 @t160 @t158 @t156 @t154 @t152)) % 0.47/0.65 (define @t164 () (@list @t163)) % 0.47/0.65 (define @t165 () (not (tptp.apply @t119 @t147 @t146))) % 0.47/0.65 (define @t166 () (or @t162 @t160 @t158 @t165 @t154 @t152)) % 0.47/0.65 (define @t167 () (not (tptp.member @t2 @t117))) % 0.47/0.65 (define @t168 () (forall @t28 (or @t167 (not (tptp.member @t18 @t118)) (not (tptp.member @t17 @t118)) (not (tptp.apply @t122 @t2 @t18)) (not (tptp.apply @t122 @t2 @t17)) @t19))) % 0.47/0.65 (define @t169 () (not (tptp.member @t13 @t118))) % 0.47/0.65 (define @t170 () (and (forall @t6 (or @t167 (not (forall @t16 (or @t169 (not (tptp.apply @t122 @t2 @t13))))))) @t168)) % 0.47/0.65 (define @t171 () (= @t130 @t170)) % 0.47/0.65 (define @t172 () (forall @t16 (or @t169 (not (tptp.apply @t122 @t146 @t13)) (not (tptp.apply @t119 @t13 @t146))))) % 0.47/0.65 (define @t173 () (@quantifiers_skolemize @t172 0)) % 0.47/0.65 (define @t174 () (not @t43)) % 0.47/0.65 (define @t175 () (or @t106 @t105 @t174)) % 0.47/0.65 (define @t176 () (not (forall @t16 @t175))) % 0.47/0.65 (define @t177 () (= @t50 @t176)) % 0.47/0.65 (define @t178 () (not @t48)) % 0.47/0.65 (define @t179 () (forall @t16 (not @t44))) % 0.47/0.65 (define @t180 () (not @t179)) % 0.47/0.65 (define @t181 () (not @t172)) % 0.47/0.65 (define @t182 () (tptp.apply @t126 @t146 @t146)) % 0.47/0.65 (define @t183 () (= @t182 @t181)) % 0.47/0.65 (define @t184 () (or @t160 @t160 @t183)) % 0.47/0.65 (define @t185 () (forall @t6 (or @t167 (tptp.apply @t126 @t2 @t2)))) % 0.47/0.65 (define @t186 () (= @t127 @t185)) % 0.47/0.65 (define @t187 () (or @t160 @t182)) % 0.47/0.65 (define @t188 () (tptp.apply @t122 @t146 @t173)) % 0.47/0.65 (define @t189 () (tptp.apply @t119 @t173 @t146)) % 0.47/0.65 (define @t190 () (not @t189)) % 0.47/0.65 (define @t191 () (not @t188)) % 0.47/0.65 (define @t192 () (tptp.member @t173 @t118)) % 0.47/0.65 (define @t193 () (not @t192)) % 0.47/0.65 (define @t194 () (or @t193 @t191 @t190)) % 0.47/0.65 (define @t195 () (@list @t194)) % 0.47/0.65 (define @t196 () (or @t101 @t106 @t75)) % 0.47/0.65 (define @t197 () (tptp.apply @t122 @t146 @t147)) % 0.47/0.65 (define @t198 () (or @t160 @t162 (= @t197 @t155))) % 0.47/0.65 (define @t199 () (forall @t76 @t196)) % 0.47/0.65 (define @t200 () (= @t155 @t197)) % 0.47/0.65 (define @t201 () (or @t160 @t162 @t200)) % 0.47/0.65 (define @t202 () (= @t147 @t173)) % 0.47/0.65 (define @t203 () (not @t197)) % 0.47/0.65 (define @t204 () (or @t160 @t162 @t193 @t203 @t191 @t202)) % 0.47/0.65 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 0.47/0.65 (assume @p2 (forall @t8 (= (tptp.equal_set @t4 @t1) (and @t7 (tptp.subset @t1 @t4))))) % 0.47/0.65 (assume @p3 (forall @t9 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.47/0.65 (assume @p4 (forall @t10 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.47/0.65 (assume @p5 (forall @t10 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.47/0.65 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.47/0.65 (assume @p7 (forall (@list @t1 @t4 @t11) (= (tptp.member @t1 (tptp.difference @t11 @t4)) (and (tptp.member @t1 @t11) (not (tptp.member @t1 @t4)))))) % 0.47/0.65 (assume @p8 (forall @t9 (= (tptp.member @t2 (tptp.singleton @t4)) @t12))) % 0.47/0.65 (assume @p9 (forall @t10 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t12 (= @t2 @t1))))) % 0.47/0.65 (assume @p10 (forall @t9 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t16 (and @t15 @t14))))) % 0.47/0.65 (assume @p11 (forall @t9 (= (tptp.member @t2 (tptp.product @t4)) (forall @t16 (=> @t15 @t14))))) % 0.47/0.65 (assume @p12 @t40) % 0.47/0.65 (assume @p13 (forall (@list @t46 @t42 @t20 @t4 @t1 @t47) (= (tptp.compose_predicate @t46 @t42 @t20 @t4 @t1 @t47) (forall (@list @t2 @t41) (=> @t49 (= (tptp.apply @t46 @t2 @t41) @t45)))))) % 0.47/0.65 (assume @p14 @t53) % 0.47/0.65 (assume @p15 @t60) % 0.47/0.65 (assume @p16 @t65) % 0.47/0.65 (assume @p17 (forall @t39 (= @t70 (forall (@list @t67 @t66 @t13) (=> (and @t69 @t68 @t31) (=> (and (tptp.apply @t20 @t67 @t13) (tptp.apply @t20 @t66 @t13)) (= @t67 @t66))))))) % 0.47/0.65 (assume @p18 (forall @t39 (= @t71 (forall @t16 (=> @t31 (exists (@list @t11) (and (tptp.member @t11 @t4) (tptp.apply @t20 @t11 @t13)))))))) % 0.47/0.65 (assume @p19 (forall @t39 (= @t72 (and @t70 @t71)))) % 0.47/0.65 (assume @p20 (forall (@list @t42 @t20 @t4 @t1) (= (tptp.inverse_predicate @t42 @t20 @t4 @t1) (forall (@list @t2 @t13) (=> @t73 (= @t30 (tptp.apply @t42 @t13 @t2))))))) % 0.47/0.65 (assume @p21 @t77) % 0.47/0.65 (assume @p22 (forall (@list @t20 @t4 @t13) (= (tptp.member @t13 (tptp.image2 @t20 @t4)) @t78))) % 0.47/0.65 (assume @p23 (forall (@list @t20 @t4 @t1 @t13) (= (tptp.member @t13 (tptp.image3 @t20 @t4 @t1)) (and @t31 @t78)))) % 0.47/0.65 (assume @p24 (forall (@list @t20 @t1 @t2) (= (tptp.member @t2 (tptp.inverse_image2 @t20 @t1)) @t33))) % 0.47/0.65 (assume @p25 (forall (@list @t20 @t1 @t4 @t2) (= (tptp.member @t2 (tptp.inverse_image3 @t20 @t1 @t4)) (and @t5 @t33)))) % 0.47/0.65 (assume @p26 (forall @t87 (= (tptp.increasing @t20 @t4 @t83 @t1 @t79) (forall @t86 (=> @t85 @t80))))) % 0.47/0.65 (assume @p27 (forall @t87 (= (tptp.decreasing @t20 @t4 @t83 @t1 @t79) (forall @t86 (=> @t85 (tptp.apply @t79 @t17 @t18)))))) % 0.47/0.65 (assume @p28 (forall @t87 (= (tptp.isomorphism @t20 @t4 @t83 @t1 @t79) (and @t37 @t72 (forall @t86 (=> (and @t69 @t26 @t68 @t25 @t82 @t81) (= @t84 @t80))))))) % 0.47/0.65 (assume @p29 @t96) % 0.47/0.65 (assume @p30 true) % 0.47/0.65 (step @p31 :rule evaluate :args ((= true false))) % 0.47/0.65 (step @p32 :rule aci_norm :args ((= (or @t103 @t102) (or @t101 @t100 @t99 @t98 @t97 @t19)))) % 0.47/0.65 (step @p33 :rule aci_norm :args ((= (or (or @t98 @t97) @t19) @t102))) % 0.47/0.65 (step @p34 :rule refl :args (@t19)) % 0.47/0.65 (step @p35 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 0.47/0.65 (step @p36 :rule nary_cong :premises (@p35 @p34) :args ((or (not @t23) @t19))) % 0.47/0.65 (step @p37 :rule trans :premises (@p36 @p33)) % 0.47/0.65 (step @p38 :rule bool-impl-elim :args (@t23 @t19)) % 0.47/0.65 (step @p39 :rule trans :premises (@p38 @p37)) % 0.47/0.65 (step @p40 :rule aci_norm :args ((= (or @t101 (or @t100 @t99)) @t103))) % 0.47/0.65 (step @p41 :rule bool-and-de-morgan :args (@t26 @t25 true)) % 0.47/0.65 (step @p42 :rule refl :args (@t101)) % 0.47/0.65 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t101 (not (and @t26 @t25))))) % 0.47/0.65 (step @p44 :rule bool-and-de-morgan :args (@t5 @t26 (and @t25))) % 0.47/0.65 (step @p45 :rule trans :premises (@p44 @p43)) % 0.47/0.65 (step @p46 :rule trans :premises (@p45 @p40)) % 0.47/0.65 (step @p47 :rule nary_cong :premises (@p46 @p39) :args ((or @t104 @t24))) % 0.47/0.65 (step @p48 :rule trans :premises (@p47 @p32)) % 0.47/0.65 (step @p49 :rule bool-impl-elim :args (@t27 @t24)) % 0.47/0.65 (step @p50 :rule trans :premises (@p49 @p48)) % 0.47/0.65 (step @p51 :rule cong :premises (@p50) :args (@t29)) % 0.47/0.65 (step @p52 :rule bool-impl-elim :args (@t5 @t107)) % 0.47/0.65 (step @p53 :rule cong :premises (@p52) :args ((forall @t6 (=> @t5 @t107)))) % 0.47/0.65 (step @p54 :rule bool-and-de-morgan :args (@t31 @t30 true)) % 0.47/0.65 (step @p55 :rule cong :premises (@p54) :args (@t108)) % 0.47/0.65 (step @p56 :rule cong :premises (@p55) :args (@t109)) % 0.47/0.65 (step @p57 :rule exists-elim :args ((= @t33 @t109))) % 0.47/0.65 (step @p58 :rule trans :premises (@p57 @p56)) % 0.47/0.65 (step @p59 :rule refl :args (@t5)) % 0.47/0.65 (step @p60 :rule cong :premises (@p59 @p58) :args (@t34)) % 0.47/0.65 (step @p61 :rule cong :premises (@p60) :args (@t35)) % 0.47/0.65 (step @p62 :rule trans :premises (@p61 @p53)) % 0.47/0.65 (step @p63 :rule nary_cong :premises (@p62 @p51) :args (@t36)) % 0.47/0.65 (step @p64 :rule refl :args (@t37)) % 0.47/0.65 (step @p65 :rule cong :premises (@p64 @p63) :args (@t38)) % 0.47/0.65 (step @p66 :rule cong :premises (@p65) :args (@t40)) % 0.47/0.65 (step @p67 :rule eq_resolve :premises (@p12 @p66)) % 0.47/0.65 (step @p68 :rule instantiate :premises (@p67) :args ((@list @t119 @t118 @t117))) % 0.47/0.65 (step @p69 :rule aci_norm :args ((= (or @t120 @t88) @t115))) % 0.47/0.65 (step @p70 :rule refl :args (@t88)) % 0.47/0.65 (step @p71 :rule aci_norm :args ((= (or @t114 (or @t113 (or @t112 (or @t111 @t110)))) @t120))) % 0.47/0.65 (step @p72 :rule bool-and-de-morgan :args (@t90 @t89 true)) % 0.47/0.65 (step @p73 :rule refl :args (@t112)) % 0.47/0.65 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or @t112 (not (and @t90 @t89))))) % 0.47/0.65 (step @p75 :rule bool-and-de-morgan :args (@t91 @t90 (and @t89))) % 0.47/0.65 (step @p76 :rule trans :premises (@p75 @p74)) % 0.47/0.65 (step @p77 :rule refl :args (@t113)) % 0.47/0.65 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or @t113 (not (and @t91 @t90 @t89))))) % 0.47/0.65 (step @p79 :rule bool-and-de-morgan :args (@t92 @t91 (and @t90 @t89))) % 0.47/0.65 (step @p80 :rule trans :premises (@p79 @p78)) % 0.47/0.65 (step @p81 :rule refl :args (@t114)) % 0.47/0.65 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or @t114 (not (and @t92 @t91 @t90 @t89))))) % 0.47/0.65 (step @p83 :rule bool-and-de-morgan :args (@t37 @t92 (and @t91 @t90 @t89))) % 0.47/0.65 (step @p84 :rule trans :premises (@p83 @p82)) % 0.47/0.65 (step @p85 :rule trans :premises (@p84 @p71)) % 0.47/0.65 (step @p86 :rule nary_cong :premises (@p85 @p70) :args ((or (not @t93) @t88))) % 0.47/0.65 (step @p87 :rule trans :premises (@p86 @p69)) % 0.47/0.65 (step @p88 :rule bool-impl-elim :args (@t93 @t88)) % 0.47/0.65 (step @p89 :rule trans :premises (@p88 @p87)) % 0.47/0.65 (step @p90 :rule cong :premises (@p89) :args (@t95)) % 0.47/0.65 (step @p91 :rule cong :premises (@p90) :args (@t96)) % 0.47/0.65 (step @p92 :rule eq_resolve :premises (@p29 @p91)) % 0.47/0.65 (step @p93 :rule skolemize :premises (@p92)) % 0.47/0.65 (step @p94 :rule bool-double-not-elim :args (@t121)) % 0.47/0.65 (step @p95 :rule refl :args (@t132)) % 0.47/0.65 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t132 (not @t129)))) % 0.47/0.65 (step @p97 :rule cnf_or_neg :args (@t132 1)) % 0.47/0.65 (step @p98 :rule eq_resolve :premises (@p97 @p96)) % 0.47/0.65 (step @p99 :rule reordering :premises (@p98) :args ((or @t121 @t132))) % 0.47/0.65 (step @p100 :rule chain_m_resolution :premises (@p99 @p93) :args (@t121 @t133 @t134)) % 0.47/0.65 (step @p101 :rule cnf_equiv_pos1 :args (@t141)) % 0.47/0.65 (step @p102 :rule reordering :premises (@p101) :args ((or @t129 @t140 (not @t141)))) % 0.47/0.65 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p68) :args (@t140 @t142 (@list @t121 @t141))) % 0.47/0.65 (step @p104 :rule cnf_and_pos :args (@t140 1)) % 0.47/0.65 (step @p105 :rule reordering :premises (@p104) :args ((or @t139 (not @t140)))) % 0.47/0.65 (step @p106 :rule chain_m_resolution :premises (@p105 @p103) :args (@t139 @t143 (@list @t140))) % 0.47/0.65 (step @p107 :rule instantiate :premises (@p106) :args ((@list @t147 @t146 @t145))) % 0.47/0.65 (step @p108 :rule aci_norm :args ((= (or @t103 @t149) (or @t101 @t100 @t99 @t98 @t148 @t19)))) % 0.47/0.65 (step @p109 :rule aci_norm :args ((= (or (or @t98 @t148) @t19) @t149))) % 0.47/0.65 (step @p110 :rule bool-and-de-morgan :args (@t22 @t54 true)) % 0.47/0.65 (step @p111 :rule nary_cong :premises (@p110 @p34) :args ((or (not @t55) @t19))) % 0.47/0.65 (step @p112 :rule trans :premises (@p111 @p109)) % 0.47/0.65 (step @p113 :rule bool-impl-elim :args (@t55 @t19)) % 0.47/0.65 (step @p114 :rule trans :premises (@p113 @p112)) % 0.47/0.65 (step @p115 :rule nary_cong :premises (@p46 @p114) :args ((or @t104 @t56))) % 0.47/0.65 (step @p116 :rule trans :premises (@p115 @p108)) % 0.47/0.65 (step @p117 :rule bool-impl-elim :args (@t27 @t56)) % 0.47/0.65 (step @p118 :rule trans :premises (@p117 @p116)) % 0.47/0.65 (step @p119 :rule cong :premises (@p118) :args (@t57)) % 0.47/0.65 (step @p120 :rule refl :args (@t58)) % 0.47/0.65 (step @p121 :rule cong :premises (@p120 @p119) :args (@t59)) % 0.47/0.65 (step @p122 :rule cong :premises (@p121) :args (@t60)) % 0.47/0.65 (step @p123 :rule eq_resolve :premises (@p15 @p122)) % 0.47/0.65 (step @p124 :rule instantiate :premises (@p123) :args ((@list @t123 @t119 @t118 @t117))) % 0.47/0.65 (step @p125 :rule cnf_or_neg :args (@t132 5)) % 0.47/0.65 (step @p126 :rule chain_m_resolution :premises (@p125 @p93) :args ((not @t124) @t133 @t134)) % 0.47/0.65 (step @p127 :rule cnf_equiv_pos2 :args (@t150)) % 0.47/0.65 (step @p128 :rule reordering :premises (@p127) :args ((or @t124 @t151 (not @t150)))) % 0.47/0.65 (step @p129 :rule chain_m_resolution :premises (@p128 @p126 @p124) :args (@t151 (@list true false) (@list @t124 @t150))) % 0.47/0.65 (step @p130 :rule skolemize :premises (@p129)) % 0.47/0.65 (step @p131 :rule cnf_or_neg :args (@t163 5)) % 0.47/0.65 (step @p132 :rule chain_m_resolution :premises (@p131 @p130) :args ((not @t152) @t133 @t164)) % 0.47/0.65 (step @p133 :rule bool-double-not-elim :args (@t153)) % 0.47/0.65 (step @p134 :rule refl :args (@t163)) % 0.47/0.65 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or @t163 (not @t154)))) % 0.47/0.65 (step @p136 :rule cnf_or_neg :args (@t163 4)) % 0.47/0.65 (step @p137 :rule eq_resolve :premises (@p136 @p135)) % 0.47/0.65 (step @p138 :rule reordering :premises (@p137) :args ((or @t153 @t163))) % 0.47/0.65 (step @p139 :rule chain_m_resolution :premises (@p138 @p130) :args (@t153 @t133 @t164)) % 0.47/0.65 (step @p140 :rule bool-double-not-elim :args (@t157)) % 0.47/0.65 (step @p141 :rule nary_cong :premises (@p134 @p140) :args ((or @t163 (not @t158)))) % 0.47/0.65 (step @p142 :rule cnf_or_neg :args (@t163 2)) % 0.47/0.65 (step @p143 :rule eq_resolve :premises (@p142 @p141)) % 0.47/0.65 (step @p144 :rule reordering :premises (@p143) :args ((or @t157 @t163))) % 0.47/0.65 (step @p145 :rule chain_m_resolution :premises (@p144 @p130) :args (@t157 @t133 @t164)) % 0.47/0.65 (step @p146 :rule bool-double-not-elim :args (@t159)) % 0.47/0.65 (step @p147 :rule nary_cong :premises (@p134 @p146) :args ((or @t163 (not @t160)))) % 0.47/0.65 (step @p148 :rule cnf_or_neg :args (@t163 1)) % 0.47/0.65 (step @p149 :rule eq_resolve :premises (@p148 @p147)) % 0.47/0.65 (step @p150 :rule reordering :premises (@p149) :args ((or @t159 @t163))) % 0.47/0.65 (step @p151 :rule chain_m_resolution :premises (@p150 @p130) :args (@t159 @t133 @t164)) % 0.47/0.65 (step @p152 :rule bool-double-not-elim :args (@t161)) % 0.47/0.65 (step @p153 :rule nary_cong :premises (@p134 @p152) :args ((or @t163 (not @t162)))) % 0.47/0.65 (step @p154 :rule cnf_or_neg :args (@t163 0)) % 0.47/0.65 (step @p155 :rule eq_resolve :premises (@p154 @p153)) % 0.47/0.65 (step @p156 :rule reordering :premises (@p155) :args ((or @t161 @t163))) % 0.47/0.65 (step @p157 :rule chain_m_resolution :premises (@p156 @p130) :args (@t161 @t133 @t164)) % 0.47/0.65 (step @p158 :rule cnf_or_pos :args (@t166)) % 0.47/0.65 (step @p159 :rule reordering :premises (@p158) :args ((or @t162 @t160 @t158 @t154 @t152 @t165 (not @t166)))) % 0.47/0.65 (step @p160 :rule chain_m_resolution :premises (@p159 @p157 @p151 @p145 @p139 @p132 @p107) :args (@t165 (@list false false false false true false) (@list @t161 @t159 @t157 @t153 @t152 @t166))) % 0.47/0.65 (step @p161 :rule false_intro :premises (@p160)) % 0.47/0.65 (step @p162 :rule refl :args (@t146)) % 0.47/0.65 (step @p163 :rule instantiate :premises (@p67) :args ((@list @t122 @t117 @t118))) % 0.47/0.65 (step @p164 :rule bool-double-not-elim :args (@t130)) % 0.47/0.65 (step @p165 :rule nary_cong :premises (@p95 @p164) :args ((or @t132 (not @t131)))) % 0.47/0.65 (step @p166 :rule cnf_or_neg :args (@t132 0)) % 0.47/0.65 (step @p167 :rule eq_resolve :premises (@p166 @p165)) % 0.47/0.65 (step @p168 :rule reordering :premises (@p167) :args ((or @t130 @t132))) % 0.47/0.65 (step @p169 :rule chain_m_resolution :premises (@p168 @p93) :args (@t130 @t133 @t134)) % 0.47/0.65 (step @p170 :rule cnf_equiv_pos1 :args (@t171)) % 0.47/0.65 (step @p171 :rule reordering :premises (@p170) :args ((or @t131 @t170 (not @t171)))) % 0.47/0.65 (step @p172 :rule chain_m_resolution :premises (@p171 @p169 @p163) :args (@t170 @t142 (@list @t130 @t171))) % 0.47/0.65 (step @p173 :rule cnf_and_pos :args (@t170 1)) % 0.47/0.65 (step @p174 :rule reordering :premises (@p173) :args ((or @t168 (not @t170)))) % 0.47/0.65 (step @p175 :rule chain_m_resolution :premises (@p174 @p172) :args (@t168 @t143 (@list @t170))) % 0.47/0.65 (step @p176 :rule instantiate :premises (@p175) :args ((@list @t146 @t147 @t173))) % 0.47/0.65 (step @p177 :rule aci_norm :args ((= (or (or @t101 @t178) @t177) (or @t101 @t178 @t177)))) % 0.47/0.65 (step @p178 :rule refl :args (@t177)) % 0.47/0.65 (step @p179 :rule bool-and-de-morgan :args (@t5 @t48 true)) % 0.47/0.65 (step @p180 :rule nary_cong :premises (@p179 @p178) :args ((or (not @t49) @t177))) % 0.47/0.65 (step @p181 :rule trans :premises (@p180 @p177)) % 0.47/0.65 (step @p182 :rule bool-impl-elim :args (@t49 @t177)) % 0.47/0.65 (step @p183 :rule trans :premises (@p182 @p181)) % 0.47/0.65 (step @p184 :rule cong :premises (@p183) :args ((forall @t52 (=> @t49 @t177)))) % 0.47/0.65 (step @p185 :rule eq-symm :args (@t176 @t50)) % 0.47/0.65 (step @p186 :rule refl :args (@t50)) % 0.47/0.65 (step @p187 :rule aci_norm :args ((= (or @t106 (or @t105 @t174)) @t175))) % 0.47/0.65 (step @p188 :rule bool-and-de-morgan :args (@t30 @t43 true)) % 0.47/0.65 (step @p189 :rule refl :args (@t106)) % 0.47/0.65 (step @p190 :rule nary_cong :premises (@p189 @p188) :args ((or @t106 (not (and @t30 @t43))))) % 0.47/0.65 (step @p191 :rule bool-and-de-morgan :args (@t31 @t30 (and @t43))) % 0.47/0.65 (step @p192 :rule trans :premises (@p191 @p190)) % 0.47/0.65 (step @p193 :rule trans :premises (@p192 @p187)) % 0.47/0.65 (step @p194 :rule cong :premises (@p193) :args (@t179)) % 0.47/0.65 (step @p195 :rule cong :premises (@p194) :args (@t180)) % 0.47/0.65 (step @p196 :rule exists-elim :args ((= @t45 @t180))) % 0.47/0.65 (step @p197 :rule trans :premises (@p196 @p195)) % 0.47/0.65 (step @p198 :rule cong :premises (@p197 @p186) :args ((= @t45 @t50))) % 0.47/0.65 (step @p199 :rule trans :premises (@p198 @p185)) % 0.47/0.65 (step @p200 :rule eq-symm :args (@t50 @t45)) % 0.47/0.65 (step @p201 :rule trans :premises (@p200 @p199)) % 0.47/0.65 (step @p202 :rule refl :args (@t49)) % 0.47/0.65 (step @p203 :rule cong :premises (@p202 @p201) :args (@t51)) % 0.47/0.65 (step @p204 :rule cong :premises (@p203) :args (@t53)) % 0.47/0.65 (step @p205 :rule trans :premises (@p204 @p184)) % 0.47/0.65 (step @p206 :rule eq_resolve :premises (@p14 @p205)) % 0.47/0.65 (step @p207 :rule instantiate :premises (@p206) :args ((@list @t119 @t122 @t117 @t118 @t117 @t146 @t146))) % 0.47/0.65 (step @p208 :rule cnf_or_pos :args (@t184)) % 0.47/0.65 (step @p209 :rule factoring :premises (@p208)) % 0.47/0.65 (step @p210 :rule reordering :premises (@p209) :args ((or @t160 @t183 (not @t184)))) % 0.47/0.65 (step @p211 :rule chain_m_resolution :premises (@p210 @p151 @p207) :args (@t183 @t142 (@list @t159 @t184))) % 0.47/0.65 (step @p212 :rule bool-impl-elim :args (@t5 @t61)) % 0.47/0.65 (step @p213 :rule cong :premises (@p212) :args (@t62)) % 0.47/0.65 (step @p214 :rule refl :args (@t63)) % 0.47/0.65 (step @p215 :rule cong :premises (@p214 @p213) :args (@t64)) % 0.47/0.65 (step @p216 :rule cong :premises (@p215) :args (@t65)) % 0.47/0.65 (step @p217 :rule eq_resolve :premises (@p16 @p216)) % 0.47/0.65 (step @p218 :rule instantiate :premises (@p217) :args ((@list @t126 @t117))) % 0.47/0.65 (step @p219 :rule bool-double-not-elim :args (@t127)) % 0.47/0.65 (step @p220 :rule nary_cong :premises (@p95 @p219) :args ((or @t132 (not @t128)))) % 0.47/0.65 (step @p221 :rule cnf_or_neg :args (@t132 3)) % 0.47/0.65 (step @p222 :rule eq_resolve :premises (@p221 @p220)) % 0.47/0.65 (step @p223 :rule reordering :premises (@p222) :args ((or @t127 @t132))) % 0.47/0.65 (step @p224 :rule chain_m_resolution :premises (@p223 @p93) :args (@t127 @t133 @t134)) % 0.47/0.65 (step @p225 :rule cnf_equiv_pos1 :args (@t186)) % 0.47/0.65 (step @p226 :rule reordering :premises (@p225) :args ((or @t128 @t185 (not @t186)))) % 0.47/0.65 (step @p227 :rule chain_m_resolution :premises (@p226 @p224 @p218) :args (@t185 @t142 (@list @t127 @t186))) % 0.47/0.65 (step @p228 :rule instantiate :premises (@p227) :args ((@list @t146))) % 0.47/0.65 (step @p229 :rule cnf_or_pos :args (@t187)) % 0.47/0.65 (step @p230 :rule reordering :premises (@p229) :args ((or @t160 @t182 (not @t187)))) % 0.47/0.65 (step @p231 :rule chain_m_resolution :premises (@p230 @p151 @p228) :args (@t182 @t142 (@list @t159 @t187))) % 0.47/0.65 (step @p232 :rule cnf_equiv_pos1 :args (@t183)) % 0.47/0.65 (step @p233 :rule reordering :premises (@p232) :args ((or (not @t182) @t181 (not @t183)))) % 0.47/0.65 (step @p234 :rule chain_m_resolution :premises (@p233 @p231 @p211) :args (@t181 @t142 (@list @t182 @t183))) % 0.47/0.65 (step @p235 :rule skolemize :premises (@p234)) % 0.47/0.65 (step @p236 :rule bool-double-not-elim :args (@t188)) % 0.47/0.65 (step @p237 :rule refl :args (@t194)) % 0.47/0.65 (step @p238 :rule nary_cong :premises (@p237 @p236) :args ((or @t194 (not @t191)))) % 0.47/0.65 (step @p239 :rule cnf_or_neg :args (@t194 1)) % 0.47/0.65 (step @p240 :rule eq_resolve :premises (@p239 @p238)) % 0.47/0.65 (step @p241 :rule reordering :premises (@p240) :args ((or @t188 @t194))) % 0.47/0.65 (step @p242 :rule chain_m_resolution :premises (@p241 @p235) :args (@t188 @t133 @t195)) % 0.47/0.65 (step @p243 :rule bool-double-not-elim :args (@t192)) % 0.47/0.65 (step @p244 :rule nary_cong :premises (@p237 @p243) :args ((or @t194 (not @t193)))) % 0.47/0.65 (step @p245 :rule cnf_or_neg :args (@t194 0)) % 0.47/0.65 (step @p246 :rule eq_resolve :premises (@p245 @p244)) % 0.47/0.65 (step @p247 :rule reordering :premises (@p246) :args ((or @t192 @t194))) % 0.47/0.65 (step @p248 :rule chain_m_resolution :premises (@p247 @p235) :args (@t192 @t133 @t195)) % 0.47/0.65 (step @p249 :rule aci_norm :args ((= (or (or @t101 @t106) @t75) @t196))) % 0.47/0.65 (step @p250 :rule refl :args (@t75)) % 0.47/0.65 (step @p251 :rule bool-and-de-morgan :args (@t5 @t31 true)) % 0.47/0.65 (step @p252 :rule nary_cong :premises (@p251 @p250) :args ((or (not @t73) @t75))) % 0.47/0.65 (step @p253 :rule trans :premises (@p252 @p249)) % 0.47/0.65 (step @p254 :rule bool-impl-elim :args (@t73 @t75)) % 0.47/0.65 (step @p255 :rule trans :premises (@p254 @p253)) % 0.47/0.65 (step @p256 :rule cong :premises (@p255) :args (@t77)) % 0.47/0.65 (step @p257 :rule eq_resolve :premises (@p21 @p256)) % 0.47/0.65 (step @p258 :rule eq-symm :args (@t197 @t155)) % 0.47/0.65 (step @p259 :rule refl :args (@t162)) % 0.47/0.65 (step @p260 :rule refl :args (@t160)) % 0.47/0.65 (step @p261 :rule nary_cong :premises (@p260 @p259 @p258) :args (@t198)) % 0.47/0.65 (step @p262 :rule refl :args (@t199)) % 0.47/0.65 (step @p263 :rule cong :premises (@p262 @p261) :args ((=> @t199 @t198))) % 0.47/0.65 (assume-push @p299 @t199) % 0.47/0.65 (step @p265 :rule instantiate :premises (@p257) :args ((@list @t122 @t117 @t118 @t146 @t147))) % 0.47/0.65 (step-pop @p300 :rule scope :premises (@p265)) % 0.47/0.65 (step @p266 :rule process_scope :premises (@p300) :args (@t198)) % 0.47/0.65 (step @p268 :rule eq_resolve :premises (@p266 @p263)) % 0.47/0.65 (step @p269 :rule implies_elim :premises (@p268)) % 0.47/0.65 (step @p270 :rule chain_m_resolution :premises (@p269 @p257) :args (@t201 @t143 (@list @t199))) % 0.47/0.65 (step @p271 :rule cnf_or_pos :args (@t201)) % 0.47/0.65 (step @p272 :rule reordering :premises (@p271) :args ((or @t162 @t160 @t200 (not @t201)))) % 0.47/0.65 (step @p273 :rule chain_m_resolution :premises (@p272 @p157 @p151 @p270) :args (@t200 (@list false false false) (@list @t161 @t159 @t201))) % 0.47/0.65 (step @p274 :rule bool-double-not-elim :args (@t155)) % 0.47/0.65 (step @p275 :rule nary_cong :premises (@p134 @p274) :args ((or @t163 (not @t156)))) % 0.47/0.65 (step @p276 :rule cnf_or_neg :args (@t163 3)) % 0.47/0.65 (step @p277 :rule eq_resolve :premises (@p276 @p275)) % 0.47/0.66 (step @p278 :rule reordering :premises (@p277) :args ((or @t155 @t163))) % 0.47/0.66 (step @p279 :rule chain_m_resolution :premises (@p278 @p130) :args (@t155 @t133 @t164)) % 0.47/0.66 (step @p280 :rule cnf_equiv_pos1 :args (@t200)) % 0.47/0.66 (step @p281 :rule reordering :premises (@p280) :args ((or @t156 @t197 (not @t200)))) % 0.47/0.66 (step @p282 :rule chain_m_resolution :premises (@p281 @p279 @p273) :args (@t197 @t142 (@list @t155 @t200))) % 0.47/0.66 (step @p283 :rule cnf_or_pos :args (@t204)) % 0.47/0.66 (step @p284 :rule reordering :premises (@p283) :args ((or @t162 @t160 @t203 @t193 @t191 @t202 (not @t204)))) % 0.47/0.66 (step @p285 :rule chain_m_resolution :premises (@p284 @p157 @p151 @p282 @p248 @p242 @p176) :args (@t202 (@list false false false false false false) (@list @t161 @t159 @t197 @t192 @t188 @t204))) % 0.47/0.66 (step @p286 :rule symm :premises (@p285)) % 0.47/0.66 (step @p287 :rule refl :args (@t119)) % 0.47/0.66 (step @p288 :rule cong :premises (@p287 @p286 @p162) :args (@t189)) % 0.47/0.66 (step @p289 :rule bool-double-not-elim :args (@t189)) % 0.47/0.66 (step @p290 :rule nary_cong :premises (@p237 @p289) :args ((or @t194 (not @t190)))) % 0.47/0.66 (step @p291 :rule cnf_or_neg :args (@t194 2)) % 0.47/0.66 (step @p292 :rule eq_resolve :premises (@p291 @p290)) % 0.47/0.66 (step @p293 :rule reordering :premises (@p292) :args ((or @t189 @t194))) % 0.47/0.66 (step @p294 :rule chain_m_resolution :premises (@p293 @p235) :args (@t189 @t133 @t195)) % 0.47/0.66 (step @p295 :rule true_intro :premises (@p294)) % 0.47/0.66 (step @p296 :rule symm :premises (@p295)) % 0.47/0.66 (step @p297 :rule trans :premises (@p296 @p288 @p161)) % 0.47/0.66 (step @p298 false :rule eq_resolve :premises (@p297 @p31)) % 0.47/0.66 ) % 0.47/0.66 % SZS output end Proof % 0.47/0.66 % cvc5 exiting %------------------------------------------------------------------------------