%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET710+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 : n024.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:48:29 AM UTC 2026 % Result : Theorem 0.23s 0.43s % Output : Proof 0.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.07 % Problem : SET710+4 : TPTP v9.2.1. Bugfixed v2.2.1. % 0.00/0.08 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.26 % Computer : n024.cluster.edu % 0.08/0.26 % Model : x86_64 x86_64 % 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.26 % Memory : 8042.1875MB % 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.26 % CPULimit : 300 % 0.08/0.26 % WCLimit : 300 % 0.08/0.26 % DateTime : Tue Jun 2 11:10:00 EDT 2026 % 0.08/0.26 % CPUTime : % 0.16/0.35 %----Proving TF0_NAR, FOF, or CNF % 0.23/0.43 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.23/0.43 % SZS status Theorem % 0.23/0.43 % SZS output start Proof % 0.23/0.43 ( % 0.23/0.43 (declare-sort $$unsorted 0) % 0.23/0.43 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.23/0.43 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.23/0.43 (declare-const tptp.inverse_function (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.23/0.43 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.23/0.43 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.23/0.43 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.23/0.43 (declare-const tptp.empty_set $$unsorted) % 0.23/0.43 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.23/0.43 (declare-const tptp.equal_maps (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.23/0.43 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.23/0.43 (declare-const tptp.one_to_one (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.23/0.43 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.23/0.43 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.23/0.43 (declare-const tptp.image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.23/0.43 (declare-const tptp.increasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.23/0.43 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.23/0.43 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.23/0.43 (declare-const tptp.surjective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.23/0.43 (declare-const tptp.isomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.23/0.43 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.23/0.43 (declare-const tptp.compose_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.23/0.43 (declare-const tptp.identity (-> $$unsorted $$unsorted Bool)) % 0.23/0.43 (declare-const tptp.injective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.23/0.43 (declare-const tptp.compose_function (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.23/0.43 (declare-const tptp.inverse_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.23/0.43 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.23/0.43 (declare-const tptp.image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.23/0.43 (declare-const tptp.inverse_image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.23/0.43 (declare-const tptp.decreasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.23/0.43 (declare-const tptp.inverse_image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.23/0.43 (define @t1 () (@var "B" $$unsorted)) % 0.23/0.43 (define @t2 () (@var "X" $$unsorted)) % 0.23/0.43 (define @t3 () (tptp.member @t2 @t1)) % 0.23/0.43 (define @t4 () (@var "A" $$unsorted)) % 0.23/0.43 (define @t5 () (tptp.member @t2 @t4)) % 0.23/0.43 (define @t6 () (@list @t2)) % 0.23/0.43 (define @t7 () (tptp.subset @t4 @t1)) % 0.23/0.43 (define @t8 () (@list @t4 @t1)) % 0.23/0.43 (define @t9 () (@list @t2 @t4)) % 0.23/0.43 (define @t10 () (@list @t2 @t4 @t1)) % 0.23/0.43 (define @t11 () (@var "E" $$unsorted)) % 0.23/0.43 (define @t12 () (= @t2 @t4)) % 0.23/0.43 (define @t13 () (@var "Y" $$unsorted)) % 0.23/0.43 (define @t14 () (tptp.member @t2 @t13)) % 0.23/0.43 (define @t15 () (tptp.member @t13 @t4)) % 0.23/0.43 (define @t16 () (@list @t13)) % 0.23/0.43 (define @t17 () (@var "Y2" $$unsorted)) % 0.23/0.43 (define @t18 () (@var "Y1" $$unsorted)) % 0.23/0.43 (define @t19 () (= @t18 @t17)) % 0.23/0.43 (define @t20 () (@var "F" $$unsorted)) % 0.23/0.43 (define @t21 () (tptp.apply @t20 @t2 @t17)) % 0.23/0.43 (define @t22 () (tptp.apply @t20 @t2 @t18)) % 0.23/0.43 (define @t23 () (and @t22 @t21)) % 0.23/0.43 (define @t24 () (=> @t23 @t19)) % 0.23/0.43 (define @t25 () (tptp.member @t17 @t1)) % 0.23/0.43 (define @t26 () (tptp.member @t18 @t1)) % 0.23/0.43 (define @t27 () (and @t5 @t26 @t25)) % 0.23/0.43 (define @t28 () (@list @t2 @t18 @t17)) % 0.23/0.43 (define @t29 () (forall @t28 (=> @t27 @t24))) % 0.23/0.43 (define @t30 () (tptp.apply @t20 @t2 @t13)) % 0.23/0.43 (define @t31 () (tptp.member @t13 @t1)) % 0.23/0.43 (define @t32 () (and @t31 @t30)) % 0.23/0.43 (define @t33 () (exists @t16 @t32)) % 0.23/0.43 (define @t34 () (=> @t5 @t33)) % 0.23/0.43 (define @t35 () (forall @t6 @t34)) % 0.23/0.43 (define @t36 () (and @t35 @t29)) % 0.23/0.43 (define @t37 () (tptp.maps @t20 @t4 @t1)) % 0.23/0.43 (define @t38 () (= @t37 @t36)) % 0.23/0.43 (define @t39 () (@list @t20 @t4 @t1)) % 0.23/0.43 (define @t40 () (forall @t39 @t38)) % 0.23/0.43 (define @t41 () (@var "Z" $$unsorted)) % 0.23/0.43 (define @t42 () (@var "G" $$unsorted)) % 0.23/0.43 (define @t43 () (tptp.apply @t42 @t13 @t41)) % 0.23/0.43 (define @t44 () (and @t31 @t30 @t43)) % 0.23/0.43 (define @t45 () (exists @t16 @t44)) % 0.23/0.43 (define @t46 () (@var "H" $$unsorted)) % 0.23/0.43 (define @t47 () (@var "C" $$unsorted)) % 0.23/0.43 (define @t48 () (tptp.member @t41 @t47)) % 0.23/0.43 (define @t49 () (and @t5 @t48)) % 0.23/0.43 (define @t50 () (tptp.compose_function @t42 @t20 @t4 @t1 @t47)) % 0.23/0.43 (define @t51 () (tptp.apply @t50 @t2 @t41)) % 0.23/0.43 (define @t52 () (=> @t49 (= @t51 @t45))) % 0.23/0.43 (define @t53 () (@list @t42 @t20 @t4 @t1 @t47 @t2 @t41)) % 0.23/0.43 (define @t54 () (forall @t53 @t52)) % 0.23/0.43 (define @t55 () (tptp.apply @t42 @t2 @t17)) % 0.23/0.43 (define @t56 () (and @t22 @t55)) % 0.23/0.43 (define @t57 () (=> @t56 @t19)) % 0.23/0.43 (define @t58 () (forall @t28 (=> @t27 @t57))) % 0.23/0.43 (define @t59 () (tptp.equal_maps @t20 @t42 @t4 @t1)) % 0.23/0.43 (define @t60 () (= @t59 @t58)) % 0.23/0.43 (define @t61 () (forall (@list @t20 @t42 @t4 @t1) @t60)) % 0.23/0.43 (define @t62 () (@var "X2" $$unsorted)) % 0.23/0.43 (define @t63 () (@var "X1" $$unsorted)) % 0.23/0.43 (define @t64 () (tptp.member @t62 @t4)) % 0.23/0.43 (define @t65 () (tptp.member @t63 @t4)) % 0.23/0.43 (define @t66 () (tptp.injective @t20 @t4 @t1)) % 0.23/0.43 (define @t67 () (tptp.surjective @t20 @t4 @t1)) % 0.23/0.43 (define @t68 () (tptp.one_to_one @t20 @t4 @t1)) % 0.23/0.43 (define @t69 () (and @t5 @t31)) % 0.23/0.43 (define @t70 () (exists @t6 (and @t5 @t30))) % 0.23/0.43 (define @t71 () (@var "S" $$unsorted)) % 0.23/0.43 (define @t72 () (tptp.apply @t71 @t18 @t17)) % 0.23/0.43 (define @t73 () (tptp.apply @t20 @t62 @t17)) % 0.23/0.43 (define @t74 () (tptp.apply @t20 @t63 @t18)) % 0.23/0.43 (define @t75 () (@var "R" $$unsorted)) % 0.23/0.43 (define @t76 () (tptp.apply @t75 @t63 @t62)) % 0.23/0.43 (define @t77 () (and @t65 @t26 @t64 @t25 @t76 @t74 @t73)) % 0.23/0.43 (define @t78 () (@list @t63 @t18 @t62 @t17)) % 0.23/0.43 (define @t79 () (@list @t20 @t4 @t75 @t1 @t71)) % 0.23/0.43 (define @t80 () (@var "D" $$unsorted)) % 0.23/0.43 (define @t81 () (tptp.equal_maps (tptp.compose_function @t46 @t50 @t4 @t47 @t80) (tptp.compose_function (tptp.compose_function @t46 @t42 @t1 @t47 @t80) @t20 @t4 @t1 @t80) @t4 @t80)) % 0.23/0.43 (define @t82 () (tptp.maps @t46 @t47 @t80)) % 0.23/0.43 (define @t83 () (tptp.maps @t42 @t1 @t47)) % 0.23/0.43 (define @t84 () (and @t37 @t83 @t82)) % 0.23/0.43 (define @t85 () (@list @t20 @t42 @t46 @t4 @t1 @t47 @t80)) % 0.23/0.43 (define @t86 () (forall @t85 (=> @t84 @t81))) % 0.23/0.43 (define @t87 () (not @t86)) % 0.23/0.43 (define @t88 () (not @t21)) % 0.23/0.43 (define @t89 () (not @t22)) % 0.23/0.43 (define @t90 () (not @t25)) % 0.23/0.43 (define @t91 () (not @t26)) % 0.23/0.43 (define @t92 () (not @t5)) % 0.23/0.43 (define @t93 () (or @t89 @t88 @t19)) % 0.23/0.43 (define @t94 () (or @t92 @t91 @t90)) % 0.23/0.43 (define @t95 () (not @t27)) % 0.23/0.43 (define @t96 () (not @t30)) % 0.23/0.43 (define @t97 () (not @t31)) % 0.23/0.43 (define @t98 () (not (forall @t16 (or @t97 @t96)))) % 0.23/0.43 (define @t99 () (forall @t16 (not @t32))) % 0.23/0.43 (define @t100 () (not @t99)) % 0.23/0.43 (define @t101 () (not @t82)) % 0.23/0.43 (define @t102 () (not @t83)) % 0.23/0.43 (define @t103 () (not @t37)) % 0.23/0.43 (define @t104 () (or @t103 @t102 @t101 @t81)) % 0.23/0.43 (define @t105 () (forall @t85 @t104)) % 0.23/0.43 (define @t106 () (@quantifiers_skolemize @t105 6)) % 0.23/0.43 (define @t107 () (@quantifiers_skolemize @t105 5)) % 0.23/0.43 (define @t108 () (@quantifiers_skolemize @t105 2)) % 0.23/0.43 (define @t109 () (or @t103 @t102 @t101)) % 0.23/0.43 (define @t110 () (tptp.maps @t108 @t107 @t106)) % 0.23/0.43 (define @t111 () (@quantifiers_skolemize @t105 3)) % 0.23/0.43 (define @t112 () (@quantifiers_skolemize @t105 4)) % 0.23/0.43 (define @t113 () (@quantifiers_skolemize @t105 0)) % 0.23/0.43 (define @t114 () (@quantifiers_skolemize @t105 1)) % 0.23/0.43 (define @t115 () (tptp.compose_function @t108 @t114 @t112 @t107 @t106)) % 0.23/0.43 (define @t116 () (tptp.compose_function @t115 @t113 @t111 @t112 @t106)) % 0.23/0.43 (define @t117 () (tptp.compose_function @t114 @t113 @t111 @t112 @t107)) % 0.23/0.43 (define @t118 () (tptp.compose_function @t108 @t117 @t111 @t107 @t106)) % 0.23/0.43 (define @t119 () (tptp.equal_maps @t118 @t116 @t111 @t106)) % 0.23/0.43 (define @t120 () (not @t110)) % 0.23/0.43 (define @t121 () (tptp.maps @t114 @t112 @t107)) % 0.23/0.43 (define @t122 () (not @t121)) % 0.23/0.43 (define @t123 () (tptp.maps @t113 @t111 @t112)) % 0.23/0.43 (define @t124 () (not @t123)) % 0.23/0.43 (define @t125 () (or @t124 @t122 @t120 @t119)) % 0.23/0.43 (define @t126 () (@list true)) % 0.23/0.43 (define @t127 () (@list @t125)) % 0.23/0.43 (define @t128 () (not (tptp.member @t17 @t106))) % 0.23/0.43 (define @t129 () (not (tptp.member @t18 @t106))) % 0.23/0.43 (define @t130 () (not (tptp.member @t2 @t107))) % 0.23/0.43 (define @t131 () (forall @t28 (or @t130 @t129 @t128 (not (tptp.apply @t108 @t2 @t18)) (not (tptp.apply @t108 @t2 @t17)) @t19))) % 0.23/0.43 (define @t132 () (not (tptp.member @t13 @t106))) % 0.23/0.43 (define @t133 () (forall @t6 (or @t130 (not (forall @t16 (or @t132 (not (tptp.apply @t108 @t2 @t13)))))))) % 0.23/0.43 (define @t134 () (and @t133 @t131)) % 0.23/0.43 (define @t135 () (= @t110 @t134)) % 0.23/0.43 (define @t136 () (@list false false)) % 0.23/0.43 (define @t137 () (not @t134)) % 0.23/0.43 (define @t138 () (@list false)) % 0.23/0.43 (define @t139 () (@list @t134)) % 0.23/0.43 (define @t140 () (not (tptp.member @t2 @t111))) % 0.23/0.43 (define @t141 () (forall @t28 (or @t140 @t129 @t128 (not (tptp.apply @t118 @t2 @t18)) (not (tptp.apply @t116 @t2 @t17)) @t19))) % 0.23/0.43 (define @t142 () (@quantifiers_skolemize @t141 2)) % 0.23/0.43 (define @t143 () (@quantifiers_skolemize @t141 1)) % 0.23/0.43 (define @t144 () (@quantifiers_skolemize @t141 0)) % 0.23/0.43 (define @t145 () (not (tptp.member @t13 @t107))) % 0.23/0.43 (define @t146 () (forall @t16 (or @t145 (not (tptp.apply @t117 @t144 @t13)) (not (tptp.apply @t108 @t13 @t143))))) % 0.23/0.43 (define @t147 () (@quantifiers_skolemize @t146 0)) % 0.23/0.43 (define @t148 () (not @t43)) % 0.23/0.43 (define @t149 () (or @t97 @t96 @t148)) % 0.23/0.43 (define @t150 () (not (forall @t16 @t149))) % 0.23/0.43 (define @t151 () (= @t51 @t150)) % 0.23/0.43 (define @t152 () (not @t48)) % 0.23/0.43 (define @t153 () (forall @t16 (not @t44))) % 0.23/0.43 (define @t154 () (not @t153)) % 0.23/0.43 (define @t155 () (not @t55)) % 0.23/0.43 (define @t156 () (or @t89 @t155 @t19)) % 0.23/0.43 (define @t157 () (= @t119 @t141)) % 0.23/0.43 (define @t158 () (not @t141)) % 0.23/0.43 (define @t159 () (tptp.member @t143 @t106)) % 0.23/0.43 (define @t160 () (= @t143 @t142)) % 0.23/0.43 (define @t161 () (tptp.apply @t116 @t144 @t142)) % 0.23/0.43 (define @t162 () (not @t161)) % 0.23/0.43 (define @t163 () (tptp.apply @t118 @t144 @t143)) % 0.23/0.43 (define @t164 () (not @t163)) % 0.23/0.43 (define @t165 () (tptp.member @t142 @t106)) % 0.23/0.43 (define @t166 () (not @t165)) % 0.23/0.43 (define @t167 () (not @t159)) % 0.23/0.43 (define @t168 () (tptp.member @t144 @t111)) % 0.23/0.43 (define @t169 () (not @t168)) % 0.23/0.43 (define @t170 () (or @t169 @t167 @t166 @t164 @t162 @t160)) % 0.23/0.43 (define @t171 () (@list @t170)) % 0.23/0.43 (define @t172 () (not @t146)) % 0.23/0.43 (define @t173 () (= @t163 @t172)) % 0.23/0.43 (define @t174 () (or @t169 @t167 @t173)) % 0.23/0.43 (define @t175 () (@list false false false)) % 0.23/0.43 (define @t176 () (tptp.apply @t108 @t147 @t143)) % 0.23/0.43 (define @t177 () (not @t176)) % 0.23/0.43 (define @t178 () (tptp.apply @t117 @t144 @t147)) % 0.23/0.43 (define @t179 () (not @t178)) % 0.23/0.43 (define @t180 () (tptp.member @t147 @t107)) % 0.23/0.43 (define @t181 () (not @t180)) % 0.23/0.43 (define @t182 () (or @t181 @t179 @t177)) % 0.23/0.43 (define @t183 () (@list @t182)) % 0.23/0.43 (define @t184 () (not (tptp.apply @t108 @t147 @t142))) % 0.23/0.43 (define @t185 () (or @t181 @t167 @t166 @t177 @t184 @t160)) % 0.23/0.43 (define @t186 () (not (tptp.member @t2 @t112))) % 0.23/0.43 (define @t187 () (forall @t28 (or @t186 (not (tptp.member @t18 @t107)) (not (tptp.member @t17 @t107)) (not (tptp.apply @t114 @t2 @t18)) (not (tptp.apply @t114 @t2 @t17)) @t19))) % 0.23/0.43 (define @t188 () (forall @t6 (or @t186 (not (forall @t16 (or @t145 (not (tptp.apply @t114 @t2 @t13)))))))) % 0.23/0.43 (define @t189 () (and @t188 @t187)) % 0.23/0.43 (define @t190 () (= @t121 @t189)) % 0.23/0.43 (define @t191 () (not @t189)) % 0.23/0.43 (define @t192 () (@list @t189)) % 0.23/0.43 (define @t193 () (not (tptp.apply @t113 @t144 @t13))) % 0.23/0.43 (define @t194 () (not (tptp.member @t13 @t112))) % 0.23/0.43 (define @t195 () (forall @t16 (or @t194 @t193))) % 0.23/0.43 (define @t196 () (@quantifiers_skolemize @t195 0)) % 0.23/0.43 (define @t197 () (forall @t16 (or @t145 (not (tptp.apply @t114 @t196 @t13))))) % 0.23/0.43 (define @t198 () (@quantifiers_skolemize @t197 0)) % 0.23/0.43 (define @t199 () (forall @t16 (or @t194 @t193 (not (tptp.apply @t114 @t13 @t147))))) % 0.23/0.43 (define @t200 () (@quantifiers_skolemize @t199 0)) % 0.23/0.43 (define @t201 () (tptp.apply @t114 @t200 @t147)) % 0.23/0.43 (define @t202 () (not @t201)) % 0.23/0.43 (define @t203 () (tptp.apply @t114 @t200 @t198)) % 0.23/0.43 (define @t204 () (not @t203)) % 0.23/0.43 (define @t205 () (tptp.member @t198 @t107)) % 0.23/0.43 (define @t206 () (not @t205)) % 0.23/0.43 (define @t207 () (tptp.member @t200 @t112)) % 0.23/0.43 (define @t208 () (not @t207)) % 0.23/0.43 (define @t209 () (or @t208 @t206 @t181 @t204 @t202 (= @t198 @t147))) % 0.23/0.43 (define @t210 () (= @t147 @t198)) % 0.23/0.43 (define @t211 () (or @t208 @t206 @t181 @t204 @t202 @t210)) % 0.23/0.43 (define @t212 () (forall @t28 (or @t140 (not (tptp.member @t18 @t112)) (not (tptp.member @t17 @t112)) (not (tptp.apply @t113 @t2 @t18)) (not (tptp.apply @t113 @t2 @t17)) @t19))) % 0.23/0.43 (define @t213 () (forall @t6 (or @t140 (not (forall @t16 (or @t194 (not (tptp.apply @t113 @t2 @t13)))))))) % 0.23/0.43 (define @t214 () (and @t213 @t212)) % 0.23/0.43 (define @t215 () (= @t123 @t214)) % 0.23/0.43 (define @t216 () (not @t214)) % 0.23/0.43 (define @t217 () (@list @t214)) % 0.23/0.43 (define @t218 () (not @t195)) % 0.23/0.43 (define @t219 () (or @t169 @t218)) % 0.23/0.43 (define @t220 () (tptp.member @t196 @t112)) % 0.23/0.43 (define @t221 () (tptp.apply @t113 @t144 @t196)) % 0.23/0.43 (define @t222 () (not @t221)) % 0.23/0.43 (define @t223 () (not @t220)) % 0.23/0.43 (define @t224 () (or @t223 @t222)) % 0.23/0.43 (define @t225 () (@list @t224)) % 0.23/0.43 (define @t226 () (not @t197)) % 0.23/0.43 (define @t227 () (or @t223 @t226)) % 0.23/0.43 (define @t228 () (tptp.apply @t114 @t196 @t198)) % 0.23/0.43 (define @t229 () (not @t228)) % 0.23/0.43 (define @t230 () (or @t206 @t229)) % 0.23/0.43 (define @t231 () (@list @t230)) % 0.23/0.43 (define @t232 () (not @t199)) % 0.23/0.43 (define @t233 () (= @t178 @t232)) % 0.23/0.43 (define @t234 () (or @t169 @t181 @t233)) % 0.23/0.43 (define @t235 () (tptp.apply @t113 @t144 @t200)) % 0.23/0.43 (define @t236 () (not @t235)) % 0.23/0.43 (define @t237 () (or @t208 @t236 @t202)) % 0.23/0.43 (define @t238 () (@list @t237)) % 0.23/0.43 (define @t239 () (= @t196 @t200)) % 0.23/0.43 (define @t240 () (or @t169 @t223 @t208 @t222 @t236 @t239)) % 0.23/0.43 (define @t241 () (@list false false false false false false)) % 0.23/0.43 (define @t242 () (forall @t16 (or @t194 @t193 (not (tptp.apply @t115 @t13 @t142))))) % 0.23/0.43 (define @t243 () (@quantifiers_skolemize @t242 0)) % 0.23/0.43 (define @t244 () (forall @t16 (or @t145 (not (tptp.apply @t114 @t243 @t13)) (not (tptp.apply @t108 @t13 @t142))))) % 0.23/0.43 (define @t245 () (@quantifiers_skolemize @t244 0)) % 0.23/0.43 (define @t246 () (forall @t16 (or @t132 (not (tptp.apply @t108 @t245 @t13))))) % 0.23/0.43 (define @t247 () (@quantifiers_skolemize @t246 0)) % 0.23/0.43 (define @t248 () (not @t242)) % 0.23/0.43 (define @t249 () (= @t161 @t248)) % 0.23/0.43 (define @t250 () (or @t169 @t166 @t249)) % 0.23/0.43 (define @t251 () (tptp.member @t243 @t112)) % 0.23/0.43 (define @t252 () (tptp.apply @t115 @t243 @t142)) % 0.23/0.43 (define @t253 () (not @t252)) % 0.23/0.43 (define @t254 () (tptp.apply @t113 @t144 @t243)) % 0.23/0.43 (define @t255 () (not @t254)) % 0.23/0.43 (define @t256 () (not @t251)) % 0.23/0.43 (define @t257 () (or @t256 @t255 @t253)) % 0.23/0.43 (define @t258 () (@list @t257)) % 0.23/0.43 (define @t259 () (not @t244)) % 0.23/0.43 (define @t260 () (= @t252 @t259)) % 0.23/0.43 (define @t261 () (or @t256 @t166 @t260)) % 0.23/0.43 (define @t262 () (tptp.member @t245 @t107)) % 0.23/0.43 (define @t263 () (tptp.apply @t108 @t245 @t142)) % 0.23/0.43 (define @t264 () (not @t263)) % 0.23/0.43 (define @t265 () (tptp.apply @t114 @t243 @t245)) % 0.23/0.43 (define @t266 () (not @t265)) % 0.23/0.43 (define @t267 () (not @t262)) % 0.23/0.43 (define @t268 () (or @t267 @t266 @t264)) % 0.23/0.43 (define @t269 () (@list @t268)) % 0.23/0.43 (define @t270 () (not @t246)) % 0.23/0.43 (define @t271 () (or @t267 @t270)) % 0.23/0.43 (define @t272 () (tptp.apply @t108 @t245 @t247)) % 0.23/0.43 (define @t273 () (not @t272)) % 0.23/0.43 (define @t274 () (tptp.member @t247 @t106)) % 0.23/0.43 (define @t275 () (not @t274)) % 0.23/0.43 (define @t276 () (or @t275 @t273)) % 0.23/0.43 (define @t277 () (@list @t276)) % 0.23/0.43 (define @t278 () (= @t142 @t247)) % 0.23/0.43 (define @t279 () (or @t267 @t166 @t275 @t264 @t273 @t278)) % 0.23/0.43 (define @t280 () (= @t196 @t243)) % 0.23/0.43 (define @t281 () (or @t169 @t223 @t256 @t222 @t255 @t280)) % 0.23/0.43 (define @t282 () (tptp.apply @t114 @t196 @t245)) % 0.23/0.43 (define @t283 () (= @t198 @t245)) % 0.23/0.43 (define @t284 () (not @t282)) % 0.23/0.43 (define @t285 () (or @t223 @t206 @t267 @t229 @t284 @t283)) % 0.23/0.43 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 0.23/0.43 (assume @p2 (forall @t8 (= (tptp.equal_set @t4 @t1) (and @t7 (tptp.subset @t1 @t4))))) % 0.23/0.43 (assume @p3 (forall @t9 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.23/0.43 (assume @p4 (forall @t10 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.23/0.43 (assume @p5 (forall @t10 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.23/0.43 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.23/0.43 (assume @p7 (forall (@list @t1 @t4 @t11) (= (tptp.member @t1 (tptp.difference @t11 @t4)) (and (tptp.member @t1 @t11) (not (tptp.member @t1 @t4)))))) % 0.23/0.43 (assume @p8 (forall @t9 (= (tptp.member @t2 (tptp.singleton @t4)) @t12))) % 0.23/0.43 (assume @p9 (forall @t10 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t12 (= @t2 @t1))))) % 0.23/0.43 (assume @p10 (forall @t9 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t16 (and @t15 @t14))))) % 0.23/0.43 (assume @p11 (forall @t9 (= (tptp.member @t2 (tptp.product @t4)) (forall @t16 (=> @t15 @t14))))) % 0.23/0.43 (assume @p12 @t40) % 0.23/0.43 (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)))))) % 0.23/0.43 (assume @p14 @t54) % 0.23/0.43 (assume @p15 @t61) % 0.23/0.43 (assume @p16 (forall (@list @t20 @t4) (= (tptp.identity @t20 @t4) (forall @t6 (=> @t5 (tptp.apply @t20 @t2 @t2)))))) % 0.23/0.43 (assume @p17 (forall @t39 (= @t66 (forall (@list @t63 @t62 @t13) (=> (and @t65 @t64 @t31) (=> (and (tptp.apply @t20 @t63 @t13) (tptp.apply @t20 @t62 @t13)) (= @t63 @t62))))))) % 0.23/0.43 (assume @p18 (forall @t39 (= @t67 (forall @t16 (=> @t31 (exists (@list @t11) (and (tptp.member @t11 @t4) (tptp.apply @t20 @t11 @t13)))))))) % 0.23/0.43 (assume @p19 (forall @t39 (= @t68 (and @t66 @t67)))) % 0.23/0.43 (assume @p20 (forall (@list @t42 @t20 @t4 @t1) (= (tptp.inverse_predicate @t42 @t20 @t4 @t1) (forall (@list @t2 @t13) (=> @t69 (= @t30 (tptp.apply @t42 @t13 @t2))))))) % 0.23/0.43 (assume @p21 (forall (@list @t20 @t4 @t1 @t2 @t13) (=> @t69 (= @t30 (tptp.apply (tptp.inverse_function @t20 @t4 @t1) @t13 @t2))))) % 0.23/0.43 (assume @p22 (forall (@list @t20 @t4 @t13) (= (tptp.member @t13 (tptp.image2 @t20 @t4)) @t70))) % 0.23/0.43 (assume @p23 (forall (@list @t20 @t4 @t1 @t13) (= (tptp.member @t13 (tptp.image3 @t20 @t4 @t1)) (and @t31 @t70)))) % 0.23/0.43 (assume @p24 (forall (@list @t20 @t1 @t2) (= (tptp.member @t2 (tptp.inverse_image2 @t20 @t1)) @t33))) % 0.23/0.43 (assume @p25 (forall (@list @t20 @t1 @t4 @t2) (= (tptp.member @t2 (tptp.inverse_image3 @t20 @t1 @t4)) (and @t5 @t33)))) % 0.23/0.43 (assume @p26 (forall @t79 (= (tptp.increasing @t20 @t4 @t75 @t1 @t71) (forall @t78 (=> @t77 @t72))))) % 0.23/0.43 (assume @p27 (forall @t79 (= (tptp.decreasing @t20 @t4 @t75 @t1 @t71) (forall @t78 (=> @t77 (tptp.apply @t71 @t17 @t18)))))) % 0.23/0.43 (assume @p28 (forall @t79 (= (tptp.isomorphism @t20 @t4 @t75 @t1 @t71) (and @t37 @t68 (forall @t78 (=> (and @t65 @t26 @t64 @t25 @t74 @t73) (= @t76 @t72))))))) % 0.23/0.43 (assume @p29 @t87) % 0.23/0.43 (assume @p30 true) % 0.23/0.43 (step @p31 :rule evaluate :args ((= true false))) % 0.23/0.43 (step @p32 :rule aci_norm :args ((= (or @t94 @t93) (or @t92 @t91 @t90 @t89 @t88 @t19)))) % 0.23/0.43 (step @p33 :rule aci_norm :args ((= (or (or @t89 @t88) @t19) @t93))) % 0.23/0.43 (step @p34 :rule refl :args (@t19)) % 0.23/0.43 (step @p35 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 0.23/0.43 (step @p36 :rule nary_cong :premises (@p35 @p34) :args ((or (not @t23) @t19))) % 0.23/0.43 (step @p37 :rule trans :premises (@p36 @p33)) % 0.23/0.43 (step @p38 :rule bool-impl-elim :args (@t23 @t19)) % 0.23/0.43 (step @p39 :rule trans :premises (@p38 @p37)) % 0.23/0.43 (step @p40 :rule aci_norm :args ((= (or @t92 (or @t91 @t90)) @t94))) % 0.23/0.43 (step @p41 :rule bool-and-de-morgan :args (@t26 @t25 true)) % 0.23/0.43 (step @p42 :rule refl :args (@t92)) % 0.23/0.43 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t92 (not (and @t26 @t25))))) % 0.23/0.43 (step @p44 :rule bool-and-de-morgan :args (@t5 @t26 (and @t25))) % 0.23/0.43 (step @p45 :rule trans :premises (@p44 @p43)) % 0.23/0.43 (step @p46 :rule trans :premises (@p45 @p40)) % 0.23/0.43 (step @p47 :rule nary_cong :premises (@p46 @p39) :args ((or @t95 @t24))) % 0.23/0.43 (step @p48 :rule trans :premises (@p47 @p32)) % 0.23/0.43 (step @p49 :rule bool-impl-elim :args (@t27 @t24)) % 0.23/0.43 (step @p50 :rule trans :premises (@p49 @p48)) % 0.23/0.43 (step @p51 :rule cong :premises (@p50) :args (@t29)) % 0.23/0.43 (step @p52 :rule bool-impl-elim :args (@t5 @t98)) % 0.23/0.43 (step @p53 :rule cong :premises (@p52) :args ((forall @t6 (=> @t5 @t98)))) % 0.23/0.43 (step @p54 :rule bool-and-de-morgan :args (@t31 @t30 true)) % 0.23/0.43 (step @p55 :rule cong :premises (@p54) :args (@t99)) % 0.23/0.43 (step @p56 :rule cong :premises (@p55) :args (@t100)) % 0.23/0.43 (step @p57 :rule exists-elim :args ((= @t33 @t100))) % 0.23/0.43 (step @p58 :rule trans :premises (@p57 @p56)) % 0.23/0.43 (step @p59 :rule refl :args (@t5)) % 0.23/0.43 (step @p60 :rule cong :premises (@p59 @p58) :args (@t34)) % 0.23/0.43 (step @p61 :rule cong :premises (@p60) :args (@t35)) % 0.23/0.43 (step @p62 :rule trans :premises (@p61 @p53)) % 0.23/0.43 (step @p63 :rule nary_cong :premises (@p62 @p51) :args (@t36)) % 0.23/0.43 (step @p64 :rule refl :args (@t37)) % 0.23/0.43 (step @p65 :rule cong :premises (@p64 @p63) :args (@t38)) % 0.23/0.43 (step @p66 :rule cong :premises (@p65) :args (@t40)) % 0.23/0.43 (step @p67 :rule eq_resolve :premises (@p12 @p66)) % 0.23/0.43 (step @p68 :rule instantiate :premises (@p67) :args ((@list @t108 @t107 @t106))) % 0.23/0.43 (step @p69 :rule aci_norm :args ((= (or @t109 @t81) @t104))) % 0.23/0.43 (step @p70 :rule refl :args (@t81)) % 0.23/0.43 (step @p71 :rule aci_norm :args ((= (or @t103 (or @t102 @t101)) @t109))) % 0.23/0.43 (step @p72 :rule bool-and-de-morgan :args (@t83 @t82 true)) % 0.23/0.43 (step @p73 :rule refl :args (@t103)) % 0.23/0.43 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or @t103 (not (and @t83 @t82))))) % 0.23/0.43 (step @p75 :rule bool-and-de-morgan :args (@t37 @t83 (and @t82))) % 0.23/0.43 (step @p76 :rule trans :premises (@p75 @p74)) % 0.23/0.43 (step @p77 :rule trans :premises (@p76 @p71)) % 0.23/0.43 (step @p78 :rule nary_cong :premises (@p77 @p70) :args ((or (not @t84) @t81))) % 0.23/0.43 (step @p79 :rule trans :premises (@p78 @p69)) % 0.23/0.43 (step @p80 :rule bool-impl-elim :args (@t84 @t81)) % 0.23/0.43 (step @p81 :rule trans :premises (@p80 @p79)) % 0.23/0.43 (step @p82 :rule cong :premises (@p81) :args (@t86)) % 0.23/0.43 (step @p83 :rule cong :premises (@p82) :args (@t87)) % 0.23/0.43 (step @p84 :rule eq_resolve :premises (@p29 @p83)) % 0.23/0.43 (step @p85 :rule skolemize :premises (@p84)) % 0.23/0.43 (step @p86 :rule bool-double-not-elim :args (@t110)) % 0.23/0.43 (step @p87 :rule refl :args (@t125)) % 0.23/0.43 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or @t125 (not @t120)))) % 0.23/0.43 (step @p89 :rule cnf_or_neg :args (@t125 2)) % 0.23/0.43 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 0.23/0.43 (step @p91 :rule reordering :premises (@p90) :args ((or @t110 @t125))) % 0.23/0.43 (step @p92 :rule chain_m_resolution :premises (@p91 @p85) :args (@t110 @t126 @t127)) % 0.23/0.43 (step @p93 :rule cnf_equiv_pos1 :args (@t135)) % 0.23/0.43 (step @p94 :rule reordering :premises (@p93) :args ((or @t120 @t134 (not @t135)))) % 0.23/0.43 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p68) :args (@t134 @t136 (@list @t110 @t135))) % 0.23/0.43 (step @p96 :rule cnf_and_pos :args (@t134 1)) % 0.23/0.43 (step @p97 :rule reordering :premises (@p96) :args ((or @t131 @t137))) % 0.23/0.43 (step @p98 :rule chain_m_resolution :premises (@p97 @p95) :args (@t131 @t138 @t139)) % 0.23/0.43 (step @p99 :rule instantiate :premises (@p98) :args ((@list @t147 @t143 @t142))) % 0.23/0.43 (step @p100 :rule aci_norm :args ((= (or (or @t92 @t152) @t151) (or @t92 @t152 @t151)))) % 0.23/0.43 (step @p101 :rule refl :args (@t151)) % 0.23/0.43 (step @p102 :rule bool-and-de-morgan :args (@t5 @t48 true)) % 0.23/0.43 (step @p103 :rule nary_cong :premises (@p102 @p101) :args ((or (not @t49) @t151))) % 0.23/0.43 (step @p104 :rule trans :premises (@p103 @p100)) % 0.23/0.43 (step @p105 :rule bool-impl-elim :args (@t49 @t151)) % 0.23/0.43 (step @p106 :rule trans :premises (@p105 @p104)) % 0.23/0.43 (step @p107 :rule cong :premises (@p106) :args ((forall @t53 (=> @t49 @t151)))) % 0.23/0.43 (step @p108 :rule eq-symm :args (@t150 @t51)) % 0.23/0.43 (step @p109 :rule refl :args (@t51)) % 0.23/0.43 (step @p110 :rule aci_norm :args ((= (or @t97 (or @t96 @t148)) @t149))) % 0.23/0.43 (step @p111 :rule bool-and-de-morgan :args (@t30 @t43 true)) % 0.23/0.43 (step @p112 :rule refl :args (@t97)) % 0.23/0.43 (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or @t97 (not (and @t30 @t43))))) % 0.23/0.43 (step @p114 :rule bool-and-de-morgan :args (@t31 @t30 (and @t43))) % 0.23/0.43 (step @p115 :rule trans :premises (@p114 @p113)) % 0.23/0.43 (step @p116 :rule trans :premises (@p115 @p110)) % 0.23/0.43 (step @p117 :rule cong :premises (@p116) :args (@t153)) % 0.23/0.43 (step @p118 :rule cong :premises (@p117) :args (@t154)) % 0.23/0.43 (step @p119 :rule exists-elim :args ((= @t45 @t154))) % 0.23/0.43 (step @p120 :rule trans :premises (@p119 @p118)) % 0.23/0.43 (step @p121 :rule cong :premises (@p120 @p109) :args ((= @t45 @t51))) % 0.23/0.43 (step @p122 :rule trans :premises (@p121 @p108)) % 0.23/0.43 (step @p123 :rule eq-symm :args (@t51 @t45)) % 0.23/0.43 (step @p124 :rule trans :premises (@p123 @p122)) % 0.23/0.43 (step @p125 :rule refl :args (@t49)) % 0.23/0.43 (step @p126 :rule cong :premises (@p125 @p124) :args (@t52)) % 0.23/0.43 (step @p127 :rule cong :premises (@p126) :args (@t54)) % 0.23/0.43 (step @p128 :rule trans :premises (@p127 @p107)) % 0.23/0.43 (step @p129 :rule eq_resolve :premises (@p14 @p128)) % 0.23/0.43 (step @p130 :rule instantiate :premises (@p129) :args ((@list @t108 @t117 @t111 @t107 @t106 @t144 @t143))) % 0.23/0.43 (step @p131 :rule aci_norm :args ((= (or @t94 @t156) (or @t92 @t91 @t90 @t89 @t155 @t19)))) % 0.23/0.43 (step @p132 :rule aci_norm :args ((= (or (or @t89 @t155) @t19) @t156))) % 0.23/0.43 (step @p133 :rule bool-and-de-morgan :args (@t22 @t55 true)) % 0.23/0.43 (step @p134 :rule 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@t142))) % 0.23/0.43 (step @p347 :rule cnf_or_pos :args (@t250)) % 0.23/0.43 (step @p348 :rule reordering :premises (@p347) :args ((or @t169 @t166 @t249 (not @t250)))) % 0.23/0.43 (step @p349 :rule chain_m_resolution :premises (@p348 @p166 @p200 @p346) :args (@t249 @t175 (@list @t168 @t165 @t250))) % 0.23/0.43 (step @p350 :rule bool-double-not-elim :args (@t161)) % 0.23/0.43 (step @p351 :rule nary_cong :premises (@p155 @p350) :args ((or @t170 (not @t162)))) % 0.23/0.43 (step @p352 :rule cnf_or_neg :args (@t170 4)) % 0.23/0.43 (step @p353 :rule eq_resolve :premises (@p352 @p351)) % 0.23/0.43 (step @p354 :rule reordering :premises (@p353) :args ((or @t161 @t170))) % 0.23/0.43 (step @p355 :rule chain_m_resolution :premises (@p354 @p153) :args (@t161 @t126 @t171)) % 0.23/0.43 (step @p356 :rule cnf_equiv_pos1 :args (@t249)) % 0.23/0.43 (step @p357 :rule reordering :premises (@p356) :args ((or @t162 @t248 (not @t249)))) % 0.23/0.43 (step @p358 :rule chain_m_resolution :premises (@p357 @p355 @p349) :args (@t248 @t136 (@list @t161 @t249))) % 0.23/0.43 (step @p359 :rule skolemize :premises (@p358)) % 0.23/0.43 (step @p360 :rule bool-double-not-elim :args (@t251)) % 0.23/0.43 (step @p361 :rule refl :args (@t257)) % 0.23/0.43 (step @p362 :rule nary_cong :premises (@p361 @p360) :args ((or @t257 (not @t256)))) % 0.23/0.43 (step @p363 :rule cnf_or_neg :args (@t257 0)) % 0.23/0.43 (step @p364 :rule eq_resolve :premises (@p363 @p362)) % 0.23/0.43 (step @p365 :rule reordering :premises (@p364) :args ((or @t251 @t257))) % 0.23/0.43 (step @p366 :rule chain_m_resolution :premises (@p365 @p359) :args (@t251 @t126 @t258)) % 0.23/0.43 (step @p367 :rule cnf_or_pos :args (@t261)) % 0.23/0.43 (step @p368 :rule reordering :premises (@p367) :args ((or @t166 @t256 @t260 (not @t261)))) % 0.23/0.43 (step @p369 :rule chain_m_resolution :premises (@p368 @p200 @p366 @p345) :args (@t260 @t175 (@list @t165 @t251 @t261))) % 0.23/0.43 (step @p370 :rule bool-double-not-elim :args (@t252)) % 0.23/0.43 (step @p371 :rule nary_cong :premises (@p361 @p370) :args ((or @t257 (not @t253)))) % 0.23/0.43 (step @p372 :rule cnf_or_neg :args (@t257 2)) % 0.23/0.43 (step @p373 :rule eq_resolve :premises (@p372 @p371)) % 0.23/0.43 (step @p374 :rule reordering :premises (@p373) :args ((or @t252 @t257))) % 0.23/0.43 (step @p375 :rule chain_m_resolution :premises (@p374 @p359) :args (@t252 @t126 @t258)) % 0.23/0.43 (step @p376 :rule cnf_equiv_pos1 :args (@t260)) % 0.23/0.43 (step @p377 :rule reordering :premises (@p376) :args ((or @t253 @t259 (not @t260)))) % 0.23/0.43 (step @p378 :rule chain_m_resolution :premises (@p377 @p375 @p369) :args (@t259 @t136 (@list @t252 @t260))) % 0.23/0.43 (step @p379 :rule skolemize :premises (@p378)) % 0.23/0.43 (step @p380 :rule bool-double-not-elim :args (@t262)) % 0.23/0.43 (step @p381 :rule refl :args (@t268)) % 0.23/0.43 (step @p382 :rule nary_cong :premises (@p381 @p380) :args ((or @t268 (not @t267)))) % 0.23/0.43 (step @p383 :rule cnf_or_neg :args (@t268 0)) % 0.23/0.43 (step @p384 :rule eq_resolve :premises (@p383 @p382)) % 0.23/0.43 (step @p385 :rule reordering :premises (@p384) :args ((or @t262 @t268))) % 0.23/0.43 (step @p386 :rule chain_m_resolution :premises (@p385 @p379) :args (@t262 @t126 @t269)) % 0.23/0.43 (step @p387 :rule cnf_or_pos :args (@t271)) % 0.23/0.43 (step @p388 :rule reordering :premises (@p387) :args ((or @t267 @t270 (not @t271)))) % 0.23/0.43 (step @p389 :rule chain_m_resolution :premises (@p388 @p386 @p344) :args (@t270 @t136 (@list @t262 @t271))) % 0.23/0.43 (step @p390 :rule skolemize :premises (@p389)) % 0.23/0.43 (step @p391 :rule bool-double-not-elim :args (@t272)) % 0.23/0.43 (step @p392 :rule refl :args (@t276)) % 0.23/0.43 (step @p393 :rule nary_cong :premises (@p392 @p391) :args ((or @t276 (not @t273)))) % 0.23/0.43 (step @p394 :rule cnf_or_neg :args (@t276 1)) % 0.23/0.43 (step @p395 :rule eq_resolve :premises (@p394 @p393)) % 0.23/0.43 (step @p396 :rule reordering :premises (@p395) :args ((or @t272 @t276))) % 0.23/0.43 (step @p397 :rule chain_m_resolution :premises (@p396 @p390) :args (@t272 @t126 @t277)) % 0.23/0.43 (step @p398 :rule bool-double-not-elim :args (@t274)) % 0.23/0.43 (step @p399 :rule nary_cong :premises (@p392 @p398) :args ((or @t276 (not @t275)))) % 0.23/0.43 (step @p400 :rule cnf_or_neg :args (@t276 0)) % 0.23/0.43 (step @p401 :rule eq_resolve :premises (@p400 @p399)) % 0.23/0.43 (step @p402 :rule reordering :premises (@p401) :args ((or @t274 @t276))) % 0.23/0.43 (step @p403 :rule chain_m_resolution :premises (@p402 @p390) :args (@t274 @t126 @t277)) % 0.23/0.43 (step @p404 :rule bool-double-not-elim :args (@t263)) % 0.23/0.43 (step @p405 :rule nary_cong :premises (@p381 @p404) :args ((or @t268 (not @t264)))) % 0.23/0.43 (step @p406 :rule cnf_or_neg :args (@t268 2)) % 0.23/0.43 (step @p407 :rule eq_resolve :premises (@p406 @p405)) % 0.23/0.43 (step @p408 :rule reordering :premises (@p407) :args ((or @t263 @t268))) % 0.23/0.43 (step @p409 :rule chain_m_resolution :premises (@p408 @p379) :args (@t263 @t126 @t269)) % 0.23/0.43 (step @p410 :rule cnf_or_pos :args (@t279)) % 0.23/0.43 (step @p411 :rule reordering :premises (@p410) :args ((or @t166 @t267 @t264 @t275 @t273 @t278 (not @t279)))) % 0.23/0.43 (step @p412 :rule chain_m_resolution :premises (@p411 @p200 @p386 @p409 @p403 @p397 @p340) :args (@t278 @t241 (@list @t165 @t262 @t263 @t274 @t272 @t279))) % 0.23/0.43 (step @p413 :rule symm :premises (@p412)) % 0.23/0.43 (step @p414 :rule instantiate :premises (@p218) :args ((@list @t196 @t198 @t245))) % 0.23/0.43 (step @p415 :rule bool-double-not-elim :args (@t265)) % 0.23/0.43 (step @p416 :rule nary_cong :premises (@p381 @p415) :args ((or @t268 (not @t266)))) % 0.23/0.43 (step @p417 :rule cnf_or_neg :args (@t268 1)) % 0.23/0.43 (step @p418 :rule eq_resolve :premises (@p417 @p416)) % 0.23/0.43 (step @p419 :rule reordering :premises (@p418) :args ((or @t265 @t268))) % 0.23/0.43 (step @p420 :rule chain_m_resolution :premises (@p419 @p379) :args (@t265 @t126 @t269)) % 0.23/0.43 (step @p421 :rule true_intro :premises (@p420)) % 0.23/0.43 (step @p422 :rule refl :args (@t245)) % 0.23/0.43 (step @p423 :rule instantiate :premises (@p279) :args ((@list @t144 @t196 @t243))) % 0.23/0.43 (step @p424 :rule bool-double-not-elim :args (@t254)) % 0.23/0.43 (step @p425 :rule nary_cong :premises (@p361 @p424) :args ((or @t257 (not @t255)))) % 0.23/0.43 (step @p426 :rule cnf_or_neg :args (@t257 1)) % 0.23/0.43 (step @p427 :rule eq_resolve :premises (@p426 @p425)) % 0.23/0.43 (step @p428 :rule reordering :premises (@p427) :args ((or @t254 @t257))) % 0.23/0.43 (step @p429 :rule chain_m_resolution :premises (@p428 @p359) :args (@t254 @t126 @t258)) % 0.23/0.43 (step @p430 :rule cnf_or_pos :args (@t281)) % 0.23/0.43 (step @p431 :rule reordering :premises (@p430) :args ((or @t169 @t223 @t222 @t256 @t255 @t280 (not @t281)))) % 0.23/0.43 (step @p432 :rule chain_m_resolution :premises (@p431 @p166 @p263 @p313 @p366 @p429 @p423) :args (@t280 @t241 (@list @t168 @t220 @t221 @t251 @t254 @t281))) % 0.23/0.43 (step @p433 :rule cong :premises (@p318 @p432 @p422) :args (@t282)) % 0.23/0.43 (step @p434 :rule trans :premises (@p433 @p421)) % 0.23/0.43 (step @p435 :rule true_elim :premises (@p434)) % 0.23/0.43 (step @p436 :rule cnf_or_pos :args (@t285)) % 0.23/0.43 (step @p437 :rule reordering :premises (@p436) :args ((or @t223 @t206 @t229 @t267 @t284 @t283 (not @t285)))) % 0.23/0.43 (step @p438 :rule chain_m_resolution :premises (@p437 @p263 @p333 @p274 @p386 @p435 @p414) :args (@t283 @t241 (@list @t220 @t205 @t228 @t262 @t282 @t285))) % 0.23/0.43 (step @p439 :rule symm :premises (@p438)) % 0.23/0.43 (step @p440 :rule cong :premises (@p338 @p439 @p413) :args (@t272)) % 0.23/0.43 (step @p441 :rule true_intro :premises (@p397)) % 0.23/0.43 (step @p442 :rule symm :premises (@p441)) % 0.23/0.43 (step @p443 :rule trans :premises (@p442 @p440 @p339 @p204)) % 0.23/0.43 (step @p444 false :rule eq_resolve :premises (@p443 @p31)) % 0.23/0.43 ) % 0.23/0.43 % SZS output end Proof % 0.23/0.43 % cvc5 exiting %------------------------------------------------------------------------------