%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET728+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 : n011.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 0.52s 0.79s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET728+4 : TPTP v9.2.1. Bugfixed v2.2.1. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n011.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 16:10:05 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.52/0.79 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.79 % SZS status Theorem % 0.52/0.79 % SZS output start Proof % 0.52/0.79 ( % 0.52/0.79 (declare-sort $$unsorted 0) % 0.52/0.79 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.inverse_function (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.empty_set $$unsorted) % 0.52/0.79 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.equal_maps (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.one_to_one (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.increasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.surjective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.isomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.compose_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.identity (-> $$unsorted $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.injective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.compose_function (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.inverse_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.inverse_image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.decreasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.inverse_image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (define @t1 () (@var "B" $$unsorted)) % 0.52/0.79 (define @t2 () (@var "X" $$unsorted)) % 0.52/0.79 (define @t3 () (tptp.member @t2 @t1)) % 0.52/0.79 (define @t4 () (@var "A" $$unsorted)) % 0.52/0.79 (define @t5 () (tptp.member @t2 @t4)) % 0.52/0.79 (define @t6 () (@list @t2)) % 0.52/0.79 (define @t7 () (tptp.subset @t4 @t1)) % 0.52/0.79 (define @t8 () (@list @t4 @t1)) % 0.52/0.79 (define @t9 () (@list @t2 @t4)) % 0.52/0.79 (define @t10 () (@list @t2 @t4 @t1)) % 0.52/0.79 (define @t11 () (@var "E" $$unsorted)) % 0.52/0.79 (define @t12 () (= @t2 @t4)) % 0.52/0.79 (define @t13 () (@var "Y" $$unsorted)) % 0.52/0.79 (define @t14 () (tptp.member @t2 @t13)) % 0.52/0.79 (define @t15 () (tptp.member @t13 @t4)) % 0.52/0.79 (define @t16 () (@list @t13)) % 0.52/0.79 (define @t17 () (@var "Y2" $$unsorted)) % 0.52/0.79 (define @t18 () (@var "Y1" $$unsorted)) % 0.52/0.79 (define @t19 () (= @t18 @t17)) % 0.52/0.79 (define @t20 () (@var "F" $$unsorted)) % 0.52/0.79 (define @t21 () (tptp.apply @t20 @t2 @t17)) % 0.52/0.79 (define @t22 () (tptp.apply @t20 @t2 @t18)) % 0.52/0.79 (define @t23 () (and @t22 @t21)) % 0.52/0.79 (define @t24 () (=> @t23 @t19)) % 0.52/0.79 (define @t25 () (tptp.member @t17 @t1)) % 0.52/0.79 (define @t26 () (tptp.member @t18 @t1)) % 0.52/0.79 (define @t27 () (and @t5 @t26 @t25)) % 0.52/0.79 (define @t28 () (@list @t2 @t18 @t17)) % 0.52/0.79 (define @t29 () (forall @t28 (=> @t27 @t24))) % 0.52/0.79 (define @t30 () (tptp.apply @t20 @t2 @t13)) % 0.52/0.79 (define @t31 () (tptp.member @t13 @t1)) % 0.52/0.79 (define @t32 () (and @t31 @t30)) % 0.52/0.79 (define @t33 () (exists @t16 @t32)) % 0.52/0.79 (define @t34 () (=> @t5 @t33)) % 0.52/0.79 (define @t35 () (forall @t6 @t34)) % 0.52/0.79 (define @t36 () (and @t35 @t29)) % 0.52/0.79 (define @t37 () (tptp.maps @t20 @t4 @t1)) % 0.52/0.79 (define @t38 () (= @t37 @t36)) % 0.52/0.79 (define @t39 () (@list @t20 @t4 @t1)) % 0.52/0.79 (define @t40 () (forall @t39 @t38)) % 0.52/0.79 (define @t41 () (@var "Z" $$unsorted)) % 0.52/0.79 (define @t42 () (@var "G" $$unsorted)) % 0.52/0.79 (define @t43 () (tptp.apply @t42 @t13 @t41)) % 0.52/0.79 (define @t44 () (and @t31 @t30 @t43)) % 0.52/0.79 (define @t45 () (exists @t16 @t44)) % 0.52/0.79 (define @t46 () (@var "H" $$unsorted)) % 0.52/0.79 (define @t47 () (@var "C" $$unsorted)) % 0.52/0.79 (define @t48 () (tptp.member @t41 @t47)) % 0.52/0.79 (define @t49 () (and @t5 @t48)) % 0.52/0.79 (define @t50 () (tptp.apply (tptp.compose_function @t42 @t20 @t4 @t1 @t47) @t2 @t41)) % 0.52/0.79 (define @t51 () (=> @t49 (= @t50 @t45))) % 0.52/0.79 (define @t52 () (@list @t42 @t20 @t4 @t1 @t47 @t2 @t41)) % 0.52/0.79 (define @t53 () (forall @t52 @t51)) % 0.52/0.79 (define @t54 () (tptp.apply @t42 @t2 @t17)) % 0.52/0.79 (define @t55 () (and @t22 @t54)) % 0.52/0.79 (define @t56 () (=> @t55 @t19)) % 0.52/0.79 (define @t57 () (forall @t28 (=> @t27 @t56))) % 0.52/0.79 (define @t58 () (tptp.equal_maps @t20 @t42 @t4 @t1)) % 0.52/0.79 (define @t59 () (= @t58 @t57)) % 0.52/0.79 (define @t60 () (forall (@list @t20 @t42 @t4 @t1) @t59)) % 0.52/0.79 (define @t61 () (tptp.apply @t20 @t2 @t2)) % 0.52/0.79 (define @t62 () (forall @t6 (=> @t5 @t61))) % 0.52/0.79 (define @t63 () (tptp.identity @t20 @t4)) % 0.52/0.79 (define @t64 () (= @t63 @t62)) % 0.52/0.79 (define @t65 () (forall (@list @t20 @t4) @t64)) % 0.52/0.79 (define @t66 () (@var "X2" $$unsorted)) % 0.52/0.79 (define @t67 () (@var "X1" $$unsorted)) % 0.52/0.79 (define @t68 () (tptp.member @t66 @t4)) % 0.52/0.79 (define @t69 () (tptp.member @t67 @t4)) % 0.52/0.79 (define @t70 () (tptp.injective @t20 @t4 @t1)) % 0.52/0.79 (define @t71 () (tptp.surjective @t20 @t4 @t1)) % 0.52/0.79 (define @t72 () (tptp.one_to_one @t20 @t4 @t1)) % 0.52/0.79 (define @t73 () (and @t5 @t31)) % 0.52/0.79 (define @t74 () (exists @t6 (and @t5 @t30))) % 0.52/0.79 (define @t75 () (@var "S" $$unsorted)) % 0.52/0.79 (define @t76 () (tptp.apply @t75 @t18 @t17)) % 0.52/0.79 (define @t77 () (tptp.apply @t20 @t66 @t17)) % 0.52/0.79 (define @t78 () (tptp.apply @t20 @t67 @t18)) % 0.52/0.79 (define @t79 () (@var "R" $$unsorted)) % 0.52/0.79 (define @t80 () (tptp.apply @t79 @t67 @t66)) % 0.52/0.79 (define @t81 () (and @t69 @t26 @t68 @t25 @t80 @t78 @t77)) % 0.52/0.79 (define @t82 () (@list @t67 @t18 @t66 @t17)) % 0.52/0.79 (define @t83 () (@list @t20 @t4 @t79 @t1 @t75)) % 0.52/0.79 (define @t84 () (tptp.equal_maps @t42 @t46 @t1 @t4)) % 0.52/0.79 (define @t85 () (tptp.identity (tptp.compose_function @t20 @t46 @t1 @t4 @t1) @t1)) % 0.52/0.79 (define @t86 () (tptp.identity (tptp.compose_function @t42 @t20 @t4 @t1 @t4) @t4)) % 0.52/0.79 (define @t87 () (tptp.maps @t46 @t1 @t4)) % 0.52/0.79 (define @t88 () (tptp.maps @t42 @t1 @t4)) % 0.52/0.79 (define @t89 () (and @t37 @t88 @t87 @t86 @t85)) % 0.52/0.79 (define @t90 () (@list @t20 @t42 @t46 @t4 @t1)) % 0.52/0.79 (define @t91 () (forall @t90 (=> @t89 @t84))) % 0.52/0.79 (define @t92 () (not @t91)) % 0.52/0.79 (define @t93 () (not @t21)) % 0.52/0.79 (define @t94 () (not @t22)) % 0.52/0.79 (define @t95 () (not @t25)) % 0.52/0.79 (define @t96 () (not @t26)) % 0.52/0.79 (define @t97 () (not @t5)) % 0.52/0.79 (define @t98 () (or @t94 @t93 @t19)) % 0.52/0.79 (define @t99 () (or @t97 @t96 @t95)) % 0.52/0.79 (define @t100 () (not @t27)) % 0.52/0.79 (define @t101 () (not @t30)) % 0.52/0.79 (define @t102 () (not @t31)) % 0.52/0.79 (define @t103 () (not (forall @t16 (or @t102 @t101)))) % 0.52/0.79 (define @t104 () (forall @t16 (not @t32))) % 0.52/0.79 (define @t105 () (not @t104)) % 0.52/0.79 (define @t106 () (not @t85)) % 0.52/0.79 (define @t107 () (not @t86)) % 0.52/0.79 (define @t108 () (not @t87)) % 0.52/0.79 (define @t109 () (not @t88)) % 0.52/0.79 (define @t110 () (not @t37)) % 0.52/0.79 (define @t111 () (or @t110 @t109 @t108 @t107 @t106 @t84)) % 0.52/0.79 (define @t112 () (forall @t90 @t111)) % 0.52/0.79 (define @t113 () (@quantifiers_skolemize @t112 3)) % 0.52/0.79 (define @t114 () (@quantifiers_skolemize @t112 4)) % 0.52/0.79 (define @t115 () (@quantifiers_skolemize @t112 1)) % 0.52/0.79 (define @t116 () (or @t110 @t109 @t108 @t107 @t106)) % 0.52/0.79 (define @t117 () (tptp.maps @t115 @t114 @t113)) % 0.52/0.79 (define @t118 () (@quantifiers_skolemize @t112 2)) % 0.52/0.79 (define @t119 () (tptp.equal_maps @t115 @t118 @t114 @t113)) % 0.52/0.79 (define @t120 () (@quantifiers_skolemize @t112 0)) % 0.52/0.79 (define @t121 () (tptp.compose_function @t120 @t118 @t114 @t113 @t114)) % 0.52/0.79 (define @t122 () (tptp.identity @t121 @t114)) % 0.52/0.79 (define @t123 () (not @t122)) % 0.52/0.79 (define @t124 () (tptp.compose_function @t115 @t120 @t113 @t114 @t113)) % 0.52/0.79 (define @t125 () (tptp.identity @t124 @t113)) % 0.52/0.79 (define @t126 () (not @t125)) % 0.52/0.79 (define @t127 () (tptp.maps @t118 @t114 @t113)) % 0.52/0.79 (define @t128 () (not @t127)) % 0.52/0.79 (define @t129 () (not @t117)) % 0.52/0.79 (define @t130 () (tptp.maps @t120 @t113 @t114)) % 0.52/0.79 (define @t131 () (not @t130)) % 0.52/0.79 (define @t132 () (or @t131 @t129 @t128 @t126 @t123 @t119)) % 0.52/0.79 (define @t133 () (@list true)) % 0.52/0.79 (define @t134 () (@list @t132)) % 0.52/0.79 (define @t135 () (not (tptp.apply @t115 @t2 @t18))) % 0.52/0.79 (define @t136 () (not (tptp.member @t17 @t113))) % 0.52/0.79 (define @t137 () (not (tptp.member @t18 @t113))) % 0.52/0.79 (define @t138 () (not (tptp.member @t2 @t114))) % 0.52/0.79 (define @t139 () (forall @t28 (or @t138 @t137 @t136 @t135 (not (tptp.apply @t115 @t2 @t17)) @t19))) % 0.52/0.79 (define @t140 () (not (tptp.member @t13 @t113))) % 0.52/0.79 (define @t141 () (forall @t6 (or @t138 (not (forall @t16 (or @t140 (not (tptp.apply @t115 @t2 @t13)))))))) % 0.52/0.79 (define @t142 () (and @t141 @t139)) % 0.52/0.79 (define @t143 () (= @t117 @t142)) % 0.52/0.79 (define @t144 () (@list false false)) % 0.52/0.79 (define @t145 () (not @t142)) % 0.52/0.79 (define @t146 () (@list false)) % 0.52/0.79 (define @t147 () (@list @t142)) % 0.52/0.79 (define @t148 () (not (tptp.apply @t118 @t2 @t17))) % 0.52/0.79 (define @t149 () (forall @t28 (or @t138 @t137 @t136 @t135 @t148 @t19))) % 0.52/0.79 (define @t150 () (@quantifiers_skolemize @t149 2)) % 0.52/0.79 (define @t151 () (@quantifiers_skolemize @t149 1)) % 0.52/0.79 (define @t152 () (@quantifiers_skolemize @t149 0)) % 0.52/0.79 (define @t153 () (not @t54)) % 0.52/0.79 (define @t154 () (or @t94 @t153 @t19)) % 0.52/0.79 (define @t155 () (= @t119 @t149)) % 0.52/0.79 (define @t156 () (not @t149)) % 0.52/0.79 (define @t157 () (= @t151 @t150)) % 0.52/0.79 (define @t158 () (tptp.apply @t118 @t152 @t150)) % 0.52/0.79 (define @t159 () (not @t158)) % 0.52/0.79 (define @t160 () (tptp.apply @t115 @t152 @t151)) % 0.52/0.79 (define @t161 () (not @t160)) % 0.52/0.79 (define @t162 () (tptp.member @t150 @t113)) % 0.52/0.79 (define @t163 () (not @t162)) % 0.52/0.79 (define @t164 () (tptp.member @t151 @t113)) % 0.52/0.79 (define @t165 () (not @t164)) % 0.52/0.79 (define @t166 () (tptp.member @t152 @t114)) % 0.52/0.79 (define @t167 () (not @t166)) % 0.52/0.79 (define @t168 () (or @t167 @t165 @t163 @t161 @t159 @t157)) % 0.52/0.79 (define @t169 () (@list @t168)) % 0.52/0.79 (define @t170 () (not (tptp.apply @t115 @t152 @t150))) % 0.52/0.79 (define @t171 () (or @t167 @t165 @t163 @t161 @t170 @t157)) % 0.52/0.79 (define @t172 () (forall @t28 (or @t138 @t137 @t136 (not (tptp.apply @t118 @t2 @t18)) @t148 @t19))) % 0.52/0.79 (define @t173 () (forall @t6 (or @t138 (not (forall @t16 (or @t140 (not (tptp.apply @t118 @t2 @t13)))))))) % 0.52/0.79 (define @t174 () (and @t173 @t172)) % 0.52/0.79 (define @t175 () (= @t127 @t174)) % 0.52/0.79 (define @t176 () (not @t174)) % 0.52/0.79 (define @t177 () (@list @t174)) % 0.52/0.79 (define @t178 () (not (tptp.apply @t118 @t152 @t13))) % 0.52/0.79 (define @t179 () (forall @t16 (or @t140 @t178))) % 0.52/0.79 (define @t180 () (@quantifiers_skolemize @t179 0)) % 0.52/0.79 (define @t181 () (@list @t152)) % 0.52/0.79 (define @t182 () (not @t179)) % 0.52/0.79 (define @t183 () (or @t167 @t182)) % 0.52/0.79 (define @t184 () (tptp.apply @t118 @t152 @t180)) % 0.52/0.79 (define @t185 () (not @t184)) % 0.52/0.79 (define @t186 () (tptp.member @t180 @t113)) % 0.52/0.79 (define @t187 () (not @t186)) % 0.52/0.79 (define @t188 () (or @t187 @t185)) % 0.52/0.79 (define @t189 () (@list @t188)) % 0.52/0.79 (define @t190 () (= @t150 @t180)) % 0.52/0.79 (define @t191 () (or @t167 @t163 @t187 @t159 @t185 @t190)) % 0.52/0.79 (define @t192 () (@list false false false false false false)) % 0.52/0.79 (define @t193 () (not (tptp.member @t2 @t113))) % 0.52/0.79 (define @t194 () (forall @t28 (or @t193 (not (tptp.member @t18 @t114)) (not (tptp.member @t17 @t114)) (not (tptp.apply @t120 @t2 @t18)) (not (tptp.apply @t120 @t2 @t17)) @t19))) % 0.52/0.79 (define @t195 () (not (tptp.member @t13 @t114))) % 0.52/0.79 (define @t196 () (forall @t6 (or @t193 (not (forall @t16 (or @t195 (not (tptp.apply @t120 @t2 @t13)))))))) % 0.52/0.79 (define @t197 () (and @t196 @t194)) % 0.52/0.79 (define @t198 () (= @t130 @t197)) % 0.52/0.79 (define @t199 () (not @t197)) % 0.52/0.79 (define @t200 () (@list @t197)) % 0.52/0.79 (define @t201 () (not (tptp.apply @t120 @t150 @t13))) % 0.52/0.79 (define @t202 () (forall @t16 (or @t195 @t201))) % 0.52/0.79 (define @t203 () (@quantifiers_skolemize @t202 0)) % 0.52/0.79 (define @t204 () (not @t43)) % 0.52/0.79 (define @t205 () (or @t102 @t101 @t204)) % 0.52/0.79 (define @t206 () (not (forall @t16 @t205))) % 0.52/0.79 (define @t207 () (= @t50 @t206)) % 0.52/0.79 (define @t208 () (not @t48)) % 0.52/0.79 (define @t209 () (forall @t16 (not @t44))) % 0.52/0.79 (define @t210 () (not @t209)) % 0.52/0.79 (define @t211 () (forall @t16 (or @t140 @t178 (not (tptp.apply @t120 @t13 @t152))))) % 0.52/0.79 (define @t212 () (not @t211)) % 0.52/0.79 (define @t213 () (tptp.apply @t121 @t152 @t152)) % 0.52/0.79 (define @t214 () (= @t213 @t212)) % 0.52/0.79 (define @t215 () (or @t167 @t167 @t214)) % 0.52/0.79 (define @t216 () (forall @t6 (or @t138 (tptp.apply @t121 @t2 @t2)))) % 0.52/0.79 (define @t217 () (= @t122 @t216)) % 0.52/0.79 (define @t218 () (or @t167 @t213)) % 0.52/0.79 (define @t219 () (@quantifiers_skolemize @t211 0)) % 0.52/0.79 (define @t220 () (tptp.apply @t120 @t219 @t152)) % 0.52/0.79 (define @t221 () (not @t220)) % 0.52/0.79 (define @t222 () (tptp.apply @t118 @t152 @t219)) % 0.52/0.79 (define @t223 () (not @t222)) % 0.52/0.79 (define @t224 () (tptp.member @t219 @t113)) % 0.52/0.79 (define @t225 () (not @t224)) % 0.52/0.79 (define @t226 () (or @t225 @t223 @t221)) % 0.52/0.79 (define @t227 () (@list @t226)) % 0.52/0.79 (define @t228 () (= @t150 @t219)) % 0.52/0.79 (define @t229 () (or @t167 @t163 @t225 @t159 @t223 @t228)) % 0.52/0.79 (define @t230 () (tptp.apply @t120 @t150 @t152)) % 0.52/0.79 (define @t231 () (@list @t150)) % 0.52/0.79 (define @t232 () (not @t202)) % 0.52/0.79 (define @t233 () (or @t163 @t232)) % 0.52/0.79 (define @t234 () (tptp.apply @t120 @t150 @t203)) % 0.52/0.79 (define @t235 () (not @t234)) % 0.52/0.79 (define @t236 () (tptp.member @t203 @t114)) % 0.52/0.79 (define @t237 () (not @t236)) % 0.52/0.79 (define @t238 () (or @t237 @t235)) % 0.52/0.79 (define @t239 () (@list @t238)) % 0.52/0.79 (define @t240 () (= @t152 @t203)) % 0.52/0.79 (define @t241 () (not @t230)) % 0.52/0.79 (define @t242 () (or @t163 @t167 @t237 @t241 @t235 @t240)) % 0.52/0.79 (define @t243 () (forall @t16 (or @t195 @t201 (not (tptp.apply @t115 @t13 @t150))))) % 0.52/0.79 (define @t244 () (@quantifiers_skolemize @t243 0)) % 0.52/0.79 (define @t245 () (forall @t16 (or @t140 (not (tptp.apply @t115 @t244 @t13))))) % 0.52/0.79 (define @t246 () (@quantifiers_skolemize @t245 0)) % 0.52/0.79 (define @t247 () (not @t243)) % 0.52/0.79 (define @t248 () (tptp.apply @t124 @t150 @t150)) % 0.52/0.79 (define @t249 () (= @t248 @t247)) % 0.52/0.79 (define @t250 () (or @t163 @t163 @t249)) % 0.52/0.79 (define @t251 () (forall @t6 (or @t193 (tptp.apply @t124 @t2 @t2)))) % 0.52/0.79 (define @t252 () (= @t125 @t251)) % 0.52/0.79 (define @t253 () (or @t163 @t248)) % 0.52/0.79 (define @t254 () (tptp.member @t244 @t114)) % 0.52/0.79 (define @t255 () (tptp.apply @t115 @t244 @t150)) % 0.52/0.79 (define @t256 () (not @t255)) % 0.52/0.79 (define @t257 () (tptp.apply @t120 @t150 @t244)) % 0.52/0.79 (define @t258 () (not @t257)) % 0.52/0.79 (define @t259 () (not @t254)) % 0.52/0.79 (define @t260 () (or @t259 @t258 @t256)) % 0.52/0.79 (define @t261 () (@list @t260)) % 0.52/0.79 (define @t262 () (not @t245)) % 0.52/0.79 (define @t263 () (or @t259 @t262)) % 0.52/0.79 (define @t264 () (tptp.apply @t115 @t244 @t246)) % 0.52/0.79 (define @t265 () (not @t264)) % 0.52/0.79 (define @t266 () (tptp.member @t246 @t113)) % 0.52/0.79 (define @t267 () (not @t266)) % 0.52/0.79 (define @t268 () (or @t267 @t265)) % 0.52/0.79 (define @t269 () (@list @t268)) % 0.52/0.79 (define @t270 () (= @t150 @t246)) % 0.52/0.79 (define @t271 () (or @t259 @t163 @t267 @t256 @t265 @t270)) % 0.52/0.79 (define @t272 () (or @t163 @t259 @t237 @t258 @t235 (= @t244 @t203))) % 0.52/0.79 (define @t273 () (= @t203 @t244)) % 0.52/0.79 (define @t274 () (or @t163 @t259 @t237 @t258 @t235 @t273)) % 0.52/0.79 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 0.52/0.79 (assume @p2 (forall @t8 (= (tptp.equal_set @t4 @t1) (and @t7 (tptp.subset @t1 @t4))))) % 0.52/0.79 (assume @p3 (forall @t9 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.52/0.79 (assume @p4 (forall @t10 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.52/0.79 (assume @p5 (forall @t10 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.52/0.79 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.52/0.79 (assume @p7 (forall (@list @t1 @t4 @t11) (= (tptp.member @t1 (tptp.difference @t11 @t4)) (and (tptp.member @t1 @t11) (not (tptp.member @t1 @t4)))))) % 0.52/0.79 (assume @p8 (forall @t9 (= (tptp.member @t2 (tptp.singleton @t4)) @t12))) % 0.52/0.79 (assume @p9 (forall @t10 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t12 (= @t2 @t1))))) % 0.52/0.79 (assume @p10 (forall @t9 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t16 (and @t15 @t14))))) % 0.52/0.79 (assume @p11 (forall @t9 (= (tptp.member @t2 (tptp.product @t4)) (forall @t16 (=> @t15 @t14))))) % 0.52/0.79 (assume @p12 @t40) % 0.52/0.79 (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)))))) % 0.52/0.79 (assume @p14 @t53) % 0.52/0.79 (assume @p15 @t60) % 0.52/0.79 (assume @p16 @t65) % 0.52/0.79 (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))))))) % 0.52/0.79 (assume @p18 (forall @t39 (= @t71 (forall @t16 (=> @t31 (exists (@list @t11) (and (tptp.member @t11 @t4) (tptp.apply @t20 @t11 @t13)))))))) % 0.52/0.79 (assume @p19 (forall @t39 (= @t72 (and @t70 @t71)))) % 0.52/0.79 (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))))))) % 0.52/0.79 (assume @p21 (forall (@list @t20 @t4 @t1 @t2 @t13) (=> @t73 (= @t30 (tptp.apply (tptp.inverse_function @t20 @t4 @t1) @t13 @t2))))) % 0.52/0.79 (assume @p22 (forall (@list @t20 @t4 @t13) (= (tptp.member @t13 (tptp.image2 @t20 @t4)) @t74))) % 0.52/0.79 (assume @p23 (forall (@list @t20 @t4 @t1 @t13) (= (tptp.member @t13 (tptp.image3 @t20 @t4 @t1)) (and @t31 @t74)))) % 0.52/0.79 (assume @p24 (forall (@list @t20 @t1 @t2) (= (tptp.member @t2 (tptp.inverse_image2 @t20 @t1)) @t33))) % 0.52/0.79 (assume @p25 (forall (@list @t20 @t1 @t4 @t2) (= (tptp.member @t2 (tptp.inverse_image3 @t20 @t1 @t4)) (and @t5 @t33)))) % 0.52/0.79 (assume @p26 (forall @t83 (= (tptp.increasing @t20 @t4 @t79 @t1 @t75) (forall @t82 (=> @t81 @t76))))) % 0.52/0.79 (assume @p27 (forall @t83 (= (tptp.decreasing @t20 @t4 @t79 @t1 @t75) (forall @t82 (=> @t81 (tptp.apply @t75 @t17 @t18)))))) % 0.52/0.79 (assume @p28 (forall @t83 (= (tptp.isomorphism @t20 @t4 @t79 @t1 @t75) (and @t37 @t72 (forall @t82 (=> (and @t69 @t26 @t68 @t25 @t78 @t77) (= @t80 @t76))))))) % 0.52/0.79 (assume @p29 @t92) % 0.52/0.79 (assume @p30 true) % 0.52/0.79 (step @p31 :rule evaluate :args ((= true false))) % 0.52/0.79 (step @p32 :rule aci_norm :args ((= (or @t99 @t98) (or @t97 @t96 @t95 @t94 @t93 @t19)))) % 0.52/0.79 (step @p33 :rule aci_norm :args ((= (or (or @t94 @t93) @t19) @t98))) % 0.52/0.79 (step @p34 :rule refl :args (@t19)) % 0.52/0.79 (step @p35 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 0.52/0.79 (step @p36 :rule nary_cong :premises (@p35 @p34) :args ((or (not @t23) @t19))) % 0.52/0.79 (step @p37 :rule trans :premises (@p36 @p33)) % 0.52/0.79 (step @p38 :rule bool-impl-elim :args (@t23 @t19)) % 0.52/0.79 (step @p39 :rule trans :premises (@p38 @p37)) % 0.52/0.79 (step @p40 :rule aci_norm :args ((= (or @t97 (or @t96 @t95)) @t99))) % 0.52/0.79 (step @p41 :rule bool-and-de-morgan :args (@t26 @t25 true)) % 0.52/0.79 (step @p42 :rule refl :args (@t97)) % 0.52/0.79 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t97 (not (and @t26 @t25))))) % 0.52/0.79 (step @p44 :rule bool-and-de-morgan :args (@t5 @t26 (and @t25))) % 0.52/0.79 (step @p45 :rule trans :premises (@p44 @p43)) % 0.52/0.79 (step @p46 :rule trans :premises (@p45 @p40)) % 0.52/0.79 (step @p47 :rule nary_cong :premises (@p46 @p39) :args ((or @t100 @t24))) % 0.52/0.79 (step @p48 :rule trans :premises (@p47 @p32)) % 0.52/0.79 (step @p49 :rule bool-impl-elim :args (@t27 @t24)) % 0.52/0.79 (step @p50 :rule trans :premises (@p49 @p48)) % 0.52/0.79 (step @p51 :rule cong :premises (@p50) :args (@t29)) % 0.52/0.79 (step @p52 :rule bool-impl-elim :args (@t5 @t103)) % 0.52/0.79 (step @p53 :rule cong :premises (@p52) :args ((forall @t6 (=> @t5 @t103)))) % 0.52/0.79 (step @p54 :rule bool-and-de-morgan :args (@t31 @t30 true)) % 0.52/0.79 (step @p55 :rule cong :premises (@p54) :args (@t104)) % 0.52/0.79 (step @p56 :rule cong :premises (@p55) :args (@t105)) % 0.52/0.79 (step @p57 :rule exists-elim :args ((= @t33 @t105))) % 0.52/0.79 (step @p58 :rule trans :premises (@p57 @p56)) % 0.52/0.79 (step @p59 :rule refl :args (@t5)) % 0.52/0.79 (step @p60 :rule cong :premises (@p59 @p58) :args (@t34)) % 0.52/0.79 (step @p61 :rule cong :premises (@p60) :args (@t35)) % 0.52/0.79 (step @p62 :rule trans :premises (@p61 @p53)) % 0.52/0.79 (step @p63 :rule nary_cong :premises (@p62 @p51) :args (@t36)) % 0.52/0.79 (step @p64 :rule refl :args (@t37)) % 0.52/0.79 (step @p65 :rule cong :premises (@p64 @p63) :args (@t38)) % 0.52/0.79 (step @p66 :rule cong :premises (@p65) :args (@t40)) % 0.52/0.79 (step @p67 :rule eq_resolve :premises (@p12 @p66)) % 0.52/0.79 (step @p68 :rule instantiate :premises (@p67) :args ((@list @t115 @t114 @t113))) % 0.52/0.79 (step @p69 :rule aci_norm :args ((= (or @t116 @t84) @t111))) % 0.52/0.79 (step @p70 :rule refl :args (@t84)) % 0.52/0.79 (step @p71 :rule aci_norm :args ((= (or @t110 (or @t109 (or @t108 (or @t107 @t106)))) @t116))) % 0.52/0.79 (step @p72 :rule bool-and-de-morgan :args (@t86 @t85 true)) % 0.52/0.79 (step @p73 :rule refl :args (@t108)) % 0.52/0.79 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or @t108 (not (and @t86 @t85))))) % 0.52/0.79 (step @p75 :rule bool-and-de-morgan :args (@t87 @t86 (and @t85))) % 0.52/0.79 (step @p76 :rule trans :premises (@p75 @p74)) % 0.52/0.79 (step @p77 :rule refl :args (@t109)) % 0.52/0.79 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or @t109 (not (and @t87 @t86 @t85))))) % 0.52/0.79 (step @p79 :rule bool-and-de-morgan :args (@t88 @t87 (and @t86 @t85))) % 0.52/0.79 (step @p80 :rule trans :premises (@p79 @p78)) % 0.52/0.79 (step @p81 :rule refl :args (@t110)) % 0.52/0.79 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or @t110 (not (and @t88 @t87 @t86 @t85))))) % 0.52/0.79 (step @p83 :rule bool-and-de-morgan :args (@t37 @t88 (and @t87 @t86 @t85))) % 0.52/0.79 (step @p84 :rule trans :premises (@p83 @p82)) % 0.52/0.79 (step @p85 :rule trans :premises (@p84 @p71)) % 0.52/0.79 (step @p86 :rule nary_cong :premises (@p85 @p70) :args ((or (not @t89) @t84))) % 0.52/0.79 (step @p87 :rule trans :premises (@p86 @p69)) % 0.52/0.79 (step @p88 :rule bool-impl-elim :args (@t89 @t84)) % 0.52/0.79 (step @p89 :rule trans :premises (@p88 @p87)) % 0.52/0.79 (step @p90 :rule cong :premises (@p89) :args (@t91)) % 0.52/0.79 (step @p91 :rule cong :premises (@p90) :args (@t92)) % 0.52/0.79 (step @p92 :rule eq_resolve :premises (@p29 @p91)) % 0.52/0.79 (step @p93 :rule skolemize :premises (@p92)) % 0.52/0.79 (step @p94 :rule bool-double-not-elim :args (@t117)) % 0.52/0.79 (step @p95 :rule refl :args (@t132)) % 0.52/0.79 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t132 (not @t129)))) % 0.52/0.79 (step @p97 :rule cnf_or_neg :args (@t132 1)) % 0.52/0.79 (step @p98 :rule eq_resolve :premises (@p97 @p96)) % 0.52/0.79 (step @p99 :rule reordering :premises (@p98) :args ((or @t117 @t132))) % 0.52/0.79 (step @p100 :rule chain_m_resolution :premises (@p99 @p93) :args (@t117 @t133 @t134)) % 0.52/0.79 (step @p101 :rule cnf_equiv_pos1 :args (@t143)) % 0.52/0.79 (step @p102 :rule reordering :premises (@p101) :args ((or @t129 @t142 (not @t143)))) % 0.52/0.79 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p68) :args (@t142 @t144 (@list @t117 @t143))) % 0.52/0.79 (step @p104 :rule cnf_and_pos :args (@t142 1)) % 0.52/0.79 (step @p105 :rule reordering :premises (@p104) :args ((or @t139 @t145))) % 0.52/0.79 (step @p106 :rule chain_m_resolution :premises (@p105 @p103) :args (@t139 @t146 @t147)) % 0.52/0.79 (step @p107 :rule instantiate :premises (@p106) :args ((@list @t152 @t151 @t150))) % 0.52/0.79 (step @p108 :rule aci_norm :args ((= (or @t99 @t154) (or @t97 @t96 @t95 @t94 @t153 @t19)))) % 0.52/0.79 (step @p109 :rule aci_norm :args ((= (or (or @t94 @t153) @t19) @t154))) % 0.52/0.79 (step @p110 :rule bool-and-de-morgan :args (@t22 @t54 true)) % 0.52/0.79 (step @p111 :rule nary_cong :premises (@p110 @p34) :args ((or (not @t55) @t19))) % 0.52/0.79 (step @p112 :rule trans :premises (@p111 @p109)) % 0.52/0.79 (step @p113 :rule bool-impl-elim :args (@t55 @t19)) % 0.52/0.79 (step @p114 :rule trans :premises (@p113 @p112)) % 0.52/0.79 (step @p115 :rule nary_cong :premises (@p46 @p114) :args ((or @t100 @t56))) % 0.52/0.79 (step @p116 :rule trans :premises (@p115 @p108)) % 0.52/0.79 (step @p117 :rule bool-impl-elim :args (@t27 @t56)) % 0.52/0.79 (step @p118 :rule trans :premises (@p117 @p116)) % 0.52/0.79 (step @p119 :rule cong :premises (@p118) :args (@t57)) % 0.52/0.79 (step @p120 :rule refl :args (@t58)) % 0.52/0.79 (step @p121 :rule cong :premises (@p120 @p119) :args (@t59)) % 0.52/0.79 (step @p122 :rule cong :premises (@p121) :args (@t60)) % 0.52/0.79 (step @p123 :rule eq_resolve :premises (@p15 @p122)) % 0.52/0.79 (step @p124 :rule instantiate :premises (@p123) :args ((@list @t115 @t118 @t114 @t113))) % 0.52/0.79 (step @p125 :rule cnf_or_neg :args (@t132 5)) % 0.52/0.79 (step @p126 :rule chain_m_resolution :premises (@p125 @p93) :args ((not @t119) @t133 @t134)) % 0.52/0.79 (step @p127 :rule cnf_equiv_pos2 :args (@t155)) % 0.52/0.79 (step @p128 :rule reordering :premises (@p127) :args ((or @t119 @t156 (not @t155)))) % 0.52/0.79 (step @p129 :rule chain_m_resolution :premises (@p128 @p126 @p124) :args (@t156 (@list true false) (@list @t119 @t155))) % 0.52/0.79 (step @p130 :rule skolemize :premises (@p129)) % 0.52/0.79 (step @p131 :rule cnf_or_neg :args (@t168 5)) % 0.52/0.79 (step @p132 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(@p355 @p353 @p347) :args (@t251 @t144 (@list @t125 @t252))) % 0.52/0.79 (step @p357 :rule instantiate :premises (@p356) :args (@t231)) % 0.52/0.79 (step @p358 :rule cnf_or_pos :args (@t253)) % 0.52/0.79 (step @p359 :rule reordering :premises (@p358) :args ((or @t163 @t248 (not @t253)))) % 0.52/0.79 (step @p360 :rule chain_m_resolution :premises (@p359 @p145 @p357) :args (@t248 @t144 (@list @t162 @t253))) % 0.52/0.79 (step @p361 :rule cnf_equiv_pos1 :args (@t249)) % 0.52/0.79 (step @p362 :rule reordering :premises (@p361) :args ((or (not @t248) @t247 (not @t249)))) % 0.52/0.79 (step @p363 :rule chain_m_resolution :premises (@p362 @p360 @p346) :args (@t247 @t144 (@list @t248 @t249))) % 0.52/0.79 (step @p364 :rule skolemize :premises (@p363)) % 0.52/0.79 (step @p365 :rule bool-double-not-elim :args (@t254)) % 0.52/0.79 (step @p366 :rule refl :args (@t260)) % 0.52/0.79 (step @p367 :rule nary_cong :premises (@p366 @p365) :args ((or @t260 (not @t259)))) % 0.52/0.79 (step @p368 :rule cnf_or_neg :args (@t260 0)) % 0.52/0.79 (step @p369 :rule eq_resolve :premises (@p368 @p367)) % 0.52/0.79 (step @p370 :rule reordering :premises (@p369) :args ((or @t254 @t260))) % 0.52/0.79 (step @p371 :rule chain_m_resolution :premises (@p370 @p364) :args (@t254 @t133 @t261)) % 0.52/0.79 (step @p372 :rule cnf_or_pos :args (@t263)) % 0.52/0.79 (step @p373 :rule reordering :premises (@p372) :args ((or @t259 @t262 (not @t263)))) % 0.52/0.79 (step @p374 :rule chain_m_resolution :premises (@p373 @p371 @p341) :args (@t262 @t144 (@list @t254 @t263))) % 0.52/0.79 (step @p375 :rule skolemize :premises (@p374)) % 0.52/0.79 (step @p376 :rule bool-double-not-elim :args (@t264)) % 0.52/0.79 (step @p377 :rule refl :args (@t268)) % 0.52/0.79 (step @p378 :rule nary_cong :premises (@p377 @p376) :args ((or @t268 (not @t265)))) % 0.52/0.79 (step @p379 :rule cnf_or_neg :args (@t268 1)) % 0.52/0.79 (step @p380 :rule eq_resolve :premises (@p379 @p378)) % 0.52/0.79 (step @p381 :rule reordering :premises (@p380) :args ((or @t264 @t268))) % 0.52/0.79 (step @p382 :rule chain_m_resolution :premises (@p381 @p375) :args (@t264 @t133 @t269)) % 0.52/0.79 (step @p383 :rule bool-double-not-elim :args (@t266)) % 0.52/0.79 (step @p384 :rule nary_cong :premises (@p377 @p383) :args ((or @t268 (not @t267)))) % 0.52/0.79 (step @p385 :rule cnf_or_neg :args (@t268 0)) % 0.52/0.79 (step @p386 :rule eq_resolve :premises (@p385 @p384)) % 0.52/0.79 (step @p387 :rule reordering :premises (@p386) :args ((or @t266 @t268))) % 0.52/0.79 (step @p388 :rule chain_m_resolution :premises (@p387 @p375) :args (@t266 @t133 @t269)) % 0.52/0.79 (step @p389 :rule bool-double-not-elim :args (@t255)) % 0.52/0.79 (step @p390 :rule nary_cong :premises (@p366 @p389) :args ((or @t260 (not @t256)))) % 0.52/0.79 (step @p391 :rule cnf_or_neg :args (@t260 2)) % 0.52/0.79 (step @p392 :rule eq_resolve :premises (@p391 @p390)) % 0.52/0.79 (step @p393 :rule reordering :premises (@p392) :args ((or @t255 @t260))) % 0.52/0.79 (step @p394 :rule chain_m_resolution :premises (@p393 @p364) :args (@t255 @t133 @t261)) % 0.52/0.79 (step @p395 :rule cnf_or_pos :args (@t271)) % 0.52/0.79 (step @p396 :rule reordering :premises (@p395) :args ((or @t163 @t259 @t256 @t267 @t265 @t270 (not @t271)))) % 0.52/0.79 (step @p397 :rule chain_m_resolution :premises (@p396 @p145 @p371 @p394 @p388 @p382 @p337) :args (@t270 @t192 (@list @t162 @t254 @t255 @t266 @t264 @t271))) % 0.52/0.79 (step @p398 :rule symm :premises (@p397)) % 0.52/0.79 (step @p399 :rule eq-symm :args (@t244 @t203)) % 0.52/0.79 (step @p400 :rule refl :args (@t235)) % 0.52/0.79 (step @p401 :rule refl :args (@t258)) % 0.52/0.79 (step @p402 :rule refl :args (@t237)) % 0.52/0.79 (step @p403 :rule refl :args (@t259)) % 0.52/0.79 (step @p404 :rule refl :args (@t163)) % 0.52/0.79 (step @p405 :rule nary_cong :premises (@p404 @p403 @p402 @p401 @p400 @p399) :args (@t272)) % 0.52/0.79 (step @p406 :rule refl :args (@t194)) % 0.52/0.79 (step @p407 :rule cong :premises (@p406 @p405) :args ((=> @t194 @t272))) % 0.52/0.79 (assume-push @p430 @t194) % 0.52/0.79 (step @p409 :rule instantiate :premises (@p222) :args ((@list @t150 @t244 @t203))) % 0.52/0.79 (step-pop @p431 :rule scope :premises (@p409)) % 0.52/0.79 (step @p410 :rule process_scope :premises (@p431) :args (@t272)) % 0.52/0.79 (step @p412 :rule eq_resolve :premises (@p410 @p407)) % 0.52/0.79 (step @p413 :rule implies_elim :premises (@p412)) % 0.52/0.79 (step @p414 :rule chain_m_resolution :premises (@p413 @p222) :args (@t274 @t146 (@list @t194))) % 0.52/0.79 (step @p415 :rule bool-double-not-elim :args (@t257)) % 0.52/0.79 (step @p416 :rule nary_cong :premises (@p366 @p415) :args ((or @t260 (not @t258)))) % 0.52/0.79 (step @p417 :rule cnf_or_neg :args (@t260 1)) % 0.52/0.79 (step @p418 :rule eq_resolve :premises (@p417 @p416)) % 0.52/0.79 (step @p419 :rule reordering :premises (@p418) :args ((or @t257 @t260))) % 0.52/0.79 (step @p420 :rule chain_m_resolution :premises (@p419 @p364) :args (@t257 @t133 @t261)) % 0.52/0.79 (step @p421 :rule cnf_or_pos :args (@t274)) % 0.52/0.79 (step @p422 :rule reordering :premises (@p421) :args ((or @t163 @t237 @t235 @t259 @t258 @t273 (not @t274)))) % 0.52/0.79 (step @p423 :rule chain_m_resolution :premises (@p422 @p145 @p331 @p325 @p371 @p420 @p414) :args (@t273 @t192 (@list @t162 @t236 @t234 @t254 @t257 @t274))) % 0.52/0.79 (step @p424 :rule symm :premises (@p423)) % 0.52/0.79 (step @p425 :rule cong :premises (@p208 @p424 @p398) :args (@t264)) % 0.52/0.79 (step @p426 :rule true_intro :premises (@p382)) % 0.52/0.79 (step @p427 :rule symm :premises (@p426)) % 0.52/0.79 (step @p428 :rule trans :premises (@p427 @p425 @p336 @p209 @p161)) % 0.52/0.79 (step @p429 false :rule eq_resolve :premises (@p428 @p31)) % 0.52/0.79 ) % 0.52/0.79 % SZS output end Proof % 0.52/0.79 % cvc5 exiting %------------------------------------------------------------------------------