%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET756+4 : TPTP v9.2.1. Bugfixed v2.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:48:35 AM UTC 2026 % Result : Theorem 0.36s 0.62s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET756+4 : TPTP v9.2.1. Bugfixed v2.2.1. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n018.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 16:10:35 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.62 % SZS status Theorem % 0.36/0.62 % SZS output start Proof % 0.36/0.62 ( % 0.36/0.62 (declare-sort $$unsorted 0) % 0.36/0.62 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.inverse_function (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.empty_set $$unsorted) % 0.36/0.62 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.equal_maps (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.one_to_one (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.increasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.surjective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.isomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.compose_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.identity (-> $$unsorted $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.injective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.compose_function (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.inverse_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.inverse_image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.decreasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.inverse_image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (define @t1 () (@var "B" $$unsorted)) % 0.36/0.62 (define @t2 () (@var "X" $$unsorted)) % 0.36/0.62 (define @t3 () (tptp.member @t2 @t1)) % 0.36/0.62 (define @t4 () (@var "A" $$unsorted)) % 0.36/0.62 (define @t5 () (tptp.member @t2 @t4)) % 0.36/0.62 (define @t6 () (@list @t2)) % 0.36/0.62 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.36/0.62 (define @t8 () (tptp.subset @t4 @t1)) % 0.36/0.62 (define @t9 () (= @t8 @t7)) % 0.36/0.62 (define @t10 () (@list @t4 @t1)) % 0.36/0.62 (define @t11 () (forall @t10 @t9)) % 0.36/0.62 (define @t12 () (@list @t2 @t4)) % 0.36/0.62 (define @t13 () (@list @t2 @t4 @t1)) % 0.36/0.62 (define @t14 () (@var "E" $$unsorted)) % 0.36/0.62 (define @t15 () (= @t2 @t4)) % 0.36/0.62 (define @t16 () (@var "Y" $$unsorted)) % 0.36/0.62 (define @t17 () (tptp.member @t2 @t16)) % 0.36/0.62 (define @t18 () (tptp.member @t16 @t4)) % 0.36/0.62 (define @t19 () (@list @t16)) % 0.36/0.62 (define @t20 () (@var "Y2" $$unsorted)) % 0.36/0.62 (define @t21 () (@var "Y1" $$unsorted)) % 0.36/0.62 (define @t22 () (= @t21 @t20)) % 0.36/0.62 (define @t23 () (@var "F" $$unsorted)) % 0.36/0.62 (define @t24 () (tptp.apply @t23 @t2 @t21)) % 0.36/0.62 (define @t25 () (tptp.member @t20 @t1)) % 0.36/0.62 (define @t26 () (tptp.member @t21 @t1)) % 0.36/0.62 (define @t27 () (and @t5 @t26 @t25)) % 0.36/0.62 (define @t28 () (@list @t2 @t21 @t20)) % 0.36/0.62 (define @t29 () (tptp.apply @t23 @t2 @t16)) % 0.36/0.62 (define @t30 () (tptp.member @t16 @t1)) % 0.36/0.62 (define @t31 () (and @t30 @t29)) % 0.36/0.62 (define @t32 () (exists @t19 @t31)) % 0.36/0.62 (define @t33 () (tptp.maps @t23 @t4 @t1)) % 0.36/0.62 (define @t34 () (@list @t23 @t4 @t1)) % 0.36/0.62 (define @t35 () (@var "Z" $$unsorted)) % 0.36/0.62 (define @t36 () (@var "G" $$unsorted)) % 0.36/0.62 (define @t37 () (exists @t19 (and @t30 @t29 (tptp.apply @t36 @t16 @t35)))) % 0.36/0.62 (define @t38 () (@var "H" $$unsorted)) % 0.36/0.62 (define @t39 () (@var "C" $$unsorted)) % 0.36/0.62 (define @t40 () (and @t5 (tptp.member @t35 @t39))) % 0.36/0.62 (define @t41 () (@var "X2" $$unsorted)) % 0.36/0.62 (define @t42 () (@var "X1" $$unsorted)) % 0.36/0.62 (define @t43 () (tptp.member @t41 @t4)) % 0.36/0.62 (define @t44 () (tptp.member @t42 @t4)) % 0.36/0.62 (define @t45 () (tptp.injective @t23 @t4 @t1)) % 0.36/0.62 (define @t46 () (tptp.surjective @t23 @t4 @t1)) % 0.36/0.62 (define @t47 () (tptp.one_to_one @t23 @t4 @t1)) % 0.36/0.62 (define @t48 () (and @t5 @t30)) % 0.36/0.62 (define @t49 () (@list @t23 @t4 @t1 @t2 @t16)) % 0.36/0.62 (define @t50 () (exists @t6 (and @t5 @t29))) % 0.36/0.62 (define @t51 () (tptp.member @t2 (tptp.inverse_image2 @t23 @t1))) % 0.36/0.62 (define @t52 () (forall (@list @t23 @t1 @t2) (= @t51 @t32))) % 0.36/0.62 (define @t53 () (@var "S" $$unsorted)) % 0.36/0.62 (define @t54 () (tptp.apply @t53 @t21 @t20)) % 0.36/0.62 (define @t55 () (tptp.apply @t23 @t41 @t20)) % 0.36/0.62 (define @t56 () (tptp.apply @t23 @t42 @t21)) % 0.36/0.62 (define @t57 () (@var "R" $$unsorted)) % 0.36/0.62 (define @t58 () (tptp.apply @t57 @t42 @t41)) % 0.36/0.62 (define @t59 () (and @t44 @t26 @t43 @t25 @t58 @t56 @t55)) % 0.36/0.62 (define @t60 () (@list @t42 @t21 @t41 @t20)) % 0.36/0.62 (define @t61 () (@list @t23 @t4 @t57 @t1 @t53)) % 0.36/0.62 (define @t62 () (tptp.equal_set (tptp.inverse_image2 @t23 (tptp.union @t2 @t16)) (tptp.union (tptp.inverse_image2 @t23 @t2) (tptp.inverse_image2 @t23 @t16)))) % 0.36/0.62 (define @t63 () (tptp.subset @t16 @t1)) % 0.36/0.62 (define @t64 () (tptp.subset @t2 @t1)) % 0.36/0.62 (define @t65 () (and @t33 @t64 @t63)) % 0.36/0.62 (define @t66 () (forall @t49 (=> @t65 @t62))) % 0.36/0.62 (define @t67 () (not @t66)) % 0.36/0.62 (define @t68 () (not @t63)) % 0.36/0.62 (define @t69 () (not @t64)) % 0.36/0.62 (define @t70 () (not @t33)) % 0.36/0.62 (define @t71 () (or @t70 @t69 @t68 @t62)) % 0.36/0.62 (define @t72 () (forall @t49 @t71)) % 0.36/0.62 (define @t73 () (@quantifiers_skolemize @t72 4)) % 0.36/0.62 (define @t74 () (@quantifiers_skolemize @t72 3)) % 0.36/0.62 (define @t75 () (tptp.union @t74 @t73)) % 0.36/0.62 (define @t76 () (@quantifiers_skolemize @t72 0)) % 0.36/0.62 (define @t77 () (tptp.inverse_image2 @t76 @t75)) % 0.36/0.62 (define @t78 () (tptp.member @t2 @t77)) % 0.36/0.62 (define @t79 () (tptp.inverse_image2 @t76 @t73)) % 0.36/0.62 (define @t80 () (tptp.inverse_image2 @t76 @t74)) % 0.36/0.62 (define @t81 () (tptp.union @t80 @t79)) % 0.36/0.62 (define @t82 () (tptp.member @t2 @t81)) % 0.36/0.62 (define @t83 () (forall @t6 (or (not @t82) @t78))) % 0.36/0.62 (define @t84 () (@quantifiers_skolemize @t83 0)) % 0.36/0.62 (define @t85 () (not (tptp.apply @t76 @t84 @t16))) % 0.36/0.62 (define @t86 () (not (tptp.member @t16 @t74))) % 0.36/0.62 (define @t87 () (forall @t19 (or @t86 @t85))) % 0.36/0.62 (define @t88 () (@quantifiers_skolemize @t87 0)) % 0.36/0.62 (define @t89 () (forall @t19 (not @t31))) % 0.36/0.62 (define @t90 () (not @t89)) % 0.36/0.62 (define @t91 () (@list @t77 @t81)) % 0.36/0.62 (define @t92 () (forall @t6 (or (not @t78) @t82))) % 0.36/0.62 (define @t93 () (@quantifiers_skolemize @t92 0)) % 0.36/0.62 (define @t94 () (tptp.member @t93 @t77)) % 0.36/0.62 (define @t95 () (tptp.member @t93 @t81)) % 0.36/0.62 (define @t96 () (not @t94)) % 0.36/0.62 (define @t97 () (or @t96 @t95)) % 0.36/0.62 (define @t98 () (not (tptp.apply @t76 @t93 @t16))) % 0.36/0.62 (define @t99 () (not (tptp.member @t16 @t75))) % 0.36/0.62 (define @t100 () (forall @t19 (or @t99 @t98))) % 0.36/0.62 (define @t101 () (not @t100)) % 0.36/0.62 (define @t102 () (= @t94 @t101)) % 0.36/0.62 (define @t103 () (tptp.member @t93 @t79)) % 0.36/0.62 (define @t104 () (tptp.member @t93 @t80)) % 0.36/0.62 (define @t105 () (or @t104 @t103)) % 0.36/0.62 (define @t106 () (= @t95 @t105)) % 0.36/0.62 (define @t107 () (@quantifiers_skolemize @t100 0)) % 0.36/0.62 (define @t108 () (tptp.apply @t76 @t93 @t107)) % 0.36/0.62 (define @t109 () (not @t108)) % 0.36/0.62 (define @t110 () (tptp.member @t107 @t75)) % 0.36/0.62 (define @t111 () (not @t110)) % 0.36/0.62 (define @t112 () (or @t111 @t109)) % 0.36/0.62 (define @t113 () (not @t112)) % 0.36/0.62 (define @t114 () (forall @t19 (or @t86 @t98))) % 0.36/0.62 (define @t115 () (not @t114)) % 0.36/0.62 (define @t116 () (= @t104 @t115)) % 0.36/0.62 (define @t117 () (not @t116)) % 0.36/0.62 (define @t118 () (not (tptp.member @t16 @t73))) % 0.36/0.62 (define @t119 () (forall @t19 (or @t118 @t98))) % 0.36/0.62 (define @t120 () (not @t119)) % 0.36/0.62 (define @t121 () (= @t103 @t120)) % 0.36/0.62 (define @t122 () (not @t121)) % 0.36/0.62 (define @t123 () (tptp.member @t107 @t73)) % 0.36/0.62 (define @t124 () (tptp.member @t107 @t74)) % 0.36/0.62 (define @t125 () (or @t124 @t123)) % 0.36/0.62 (define @t126 () (= @t110 @t125)) % 0.36/0.62 (define @t127 () (@list @t107)) % 0.36/0.62 (define @t128 () (not @t124)) % 0.36/0.62 (define @t129 () (or @t128 @t109)) % 0.36/0.62 (define @t130 () (not @t123)) % 0.36/0.62 (define @t131 () (or @t130 @t109)) % 0.36/0.62 (define @t132 () (not @t97)) % 0.36/0.62 (define @t133 () (not @t92)) % 0.36/0.62 (define @t134 () (@list false)) % 0.36/0.62 (define @t135 () (tptp.subset @t77 @t81)) % 0.36/0.62 (define @t136 () (= @t135 @t92)) % 0.36/0.62 (define @t137 () (@list false false)) % 0.36/0.62 (define @t138 () (or @t70 @t69 @t68)) % 0.36/0.62 (define @t139 () (tptp.equal_set @t77 @t81)) % 0.36/0.62 (define @t140 () (@quantifiers_skolemize @t72 2)) % 0.36/0.62 (define @t141 () (or (not (tptp.maps @t76 (@quantifiers_skolemize @t72 1) @t140)) (not (tptp.subset @t74 @t140)) (not (tptp.subset @t73 @t140)) @t139)) % 0.36/0.62 (define @t142 () (@list true)) % 0.36/0.62 (define @t143 () (tptp.subset @t81 @t77)) % 0.36/0.62 (define @t144 () (and @t135 @t143)) % 0.36/0.62 (define @t145 () (= @t139 @t144)) % 0.36/0.62 (define @t146 () (not @t144)) % 0.36/0.62 (define @t147 () (@list true false)) % 0.36/0.62 (define @t148 () (= @t143 @t83)) % 0.36/0.62 (define @t149 () (not @t83)) % 0.36/0.62 (define @t150 () (tptp.member @t84 @t77)) % 0.36/0.62 (define @t151 () (tptp.member @t84 @t81)) % 0.36/0.62 (define @t152 () (not @t151)) % 0.36/0.62 (define @t153 () (or @t152 @t150)) % 0.36/0.62 (define @t154 () (not @t153)) % 0.36/0.62 (define @t155 () (@list @t153)) % 0.36/0.62 (define @t156 () (tptp.member @t84 @t79)) % 0.36/0.62 (define @t157 () (tptp.member @t84 @t80)) % 0.36/0.62 (define @t158 () (or @t157 @t156)) % 0.36/0.62 (define @t159 () (= @t151 @t158)) % 0.36/0.62 (define @t160 () (forall @t19 (or @t118 @t85))) % 0.36/0.62 (define @t161 () (@quantifiers_skolemize @t160 0)) % 0.36/0.62 (define @t162 () (tptp.member @t161 @t73)) % 0.36/0.62 (define @t163 () (tptp.apply @t76 @t84 @t161)) % 0.36/0.62 (define @t164 () (not @t163)) % 0.36/0.62 (define @t165 () (not @t162)) % 0.36/0.62 (define @t166 () (or @t165 @t164)) % 0.36/0.62 (define @t167 () (or (tptp.member @t161 @t74) @t162)) % 0.36/0.62 (define @t168 () (forall @t19 (or @t99 @t85))) % 0.36/0.62 (define @t169 () (not @t168)) % 0.36/0.62 (define @t170 () (= @t150 @t169)) % 0.36/0.62 (define @t171 () (not @t170)) % 0.36/0.62 (define @t172 () (tptp.member @t161 @t75)) % 0.36/0.62 (define @t173 () (not @t172)) % 0.36/0.62 (define @t174 () (or @t173 @t164)) % 0.36/0.62 (define @t175 () (@list @t168)) % 0.36/0.62 (define @t176 () (= @t172 @t167)) % 0.36/0.62 (define @t177 () (not @t166)) % 0.36/0.62 (define @t178 () (not @t160)) % 0.36/0.62 (define @t179 () (= @t156 @t178)) % 0.36/0.62 (define @t180 () (not @t156)) % 0.36/0.62 (define @t181 () (not @t87)) % 0.36/0.62 (define @t182 () (= @t157 @t181)) % 0.36/0.62 (define @t183 () (tptp.apply @t76 @t84 @t88)) % 0.36/0.62 (define @t184 () (not @t183)) % 0.36/0.62 (define @t185 () (tptp.member @t88 @t74)) % 0.36/0.62 (define @t186 () (not @t185)) % 0.36/0.62 (define @t187 () (or @t186 @t184)) % 0.36/0.62 (define @t188 () (not @t187)) % 0.36/0.62 (define @t189 () (@list @t187)) % 0.36/0.62 (define @t190 () (or @t185 (tptp.member @t88 @t73))) % 0.36/0.62 (define @t191 () (tptp.member @t88 @t75)) % 0.36/0.62 (define @t192 () (not @t191)) % 0.36/0.62 (define @t193 () (or @t192 @t184)) % 0.36/0.62 (define @t194 () (= @t191 @t190)) % 0.36/0.62 (assume @p1 @t11) % 0.36/0.62 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.36/0.62 (assume @p3 (forall @t12 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.36/0.62 (assume @p4 (forall @t13 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.36/0.62 (assume @p5 (forall @t13 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.36/0.62 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.36/0.62 (assume @p7 (forall (@list @t1 @t4 @t14) (= (tptp.member @t1 (tptp.difference @t14 @t4)) (and (tptp.member @t1 @t14) (not (tptp.member @t1 @t4)))))) % 0.36/0.62 (assume @p8 (forall @t12 (= (tptp.member @t2 (tptp.singleton @t4)) @t15))) % 0.36/0.62 (assume @p9 (forall @t13 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t15 (= @t2 @t1))))) % 0.36/0.62 (assume @p10 (forall @t12 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t19 (and @t18 @t17))))) % 0.36/0.62 (assume @p11 (forall @t12 (= (tptp.member @t2 (tptp.product @t4)) (forall @t19 (=> @t18 @t17))))) % 0.36/0.62 (assume @p12 (forall @t34 (= @t33 (and (forall @t6 (=> @t5 @t32)) (forall @t28 (=> @t27 (=> (and @t24 (tptp.apply @t23 @t2 @t20)) @t22))))))) % 0.36/0.62 (assume @p13 (forall (@list @t38 @t36 @t23 @t4 @t1 @t39) (= (tptp.compose_predicate @t38 @t36 @t23 @t4 @t1 @t39) (forall (@list @t2 @t35) (=> @t40 (= (tptp.apply @t38 @t2 @t35) @t37)))))) % 0.36/0.62 (assume @p14 (forall (@list @t36 @t23 @t4 @t1 @t39 @t2 @t35) (=> @t40 (= (tptp.apply (tptp.compose_function @t36 @t23 @t4 @t1 @t39) @t2 @t35) @t37)))) % 0.36/0.62 (assume @p15 (forall (@list @t23 @t36 @t4 @t1) (= (tptp.equal_maps @t23 @t36 @t4 @t1) (forall @t28 (=> @t27 (=> (and @t24 (tptp.apply @t36 @t2 @t20)) @t22)))))) % 0.36/0.62 (assume @p16 (forall (@list @t23 @t4) (= (tptp.identity @t23 @t4) (forall @t6 (=> @t5 (tptp.apply @t23 @t2 @t2)))))) % 0.36/0.62 (assume @p17 (forall @t34 (= @t45 (forall (@list @t42 @t41 @t16) (=> (and @t44 @t43 @t30) (=> (and (tptp.apply @t23 @t42 @t16) (tptp.apply @t23 @t41 @t16)) (= @t42 @t41))))))) % 0.36/0.62 (assume @p18 (forall @t34 (= @t46 (forall @t19 (=> @t30 (exists (@list @t14) (and (tptp.member @t14 @t4) (tptp.apply @t23 @t14 @t16)))))))) % 0.36/0.62 (assume @p19 (forall @t34 (= @t47 (and @t45 @t46)))) % 0.36/0.62 (assume @p20 (forall (@list @t36 @t23 @t4 @t1) (= (tptp.inverse_predicate @t36 @t23 @t4 @t1) (forall (@list @t2 @t16) (=> @t48 (= @t29 (tptp.apply @t36 @t16 @t2))))))) % 0.36/0.62 (assume @p21 (forall @t49 (=> @t48 (= @t29 (tptp.apply (tptp.inverse_function @t23 @t4 @t1) @t16 @t2))))) % 0.36/0.62 (assume @p22 (forall (@list @t23 @t4 @t16) (= (tptp.member @t16 (tptp.image2 @t23 @t4)) @t50))) % 0.36/0.62 (assume @p23 (forall (@list @t23 @t4 @t1 @t16) (= (tptp.member @t16 (tptp.image3 @t23 @t4 @t1)) (and @t30 @t50)))) % 0.36/0.62 (assume @p24 @t52) % 0.36/0.62 (assume @p25 (forall (@list @t23 @t1 @t4 @t2) (= (tptp.member @t2 (tptp.inverse_image3 @t23 @t1 @t4)) (and @t5 @t32)))) % 0.36/0.62 (assume @p26 (forall @t61 (= (tptp.increasing @t23 @t4 @t57 @t1 @t53) (forall @t60 (=> @t59 @t54))))) % 0.36/0.62 (assume @p27 (forall @t61 (= (tptp.decreasing @t23 @t4 @t57 @t1 @t53) (forall @t60 (=> @t59 (tptp.apply @t53 @t20 @t21)))))) % 0.36/0.62 (assume @p28 (forall @t61 (= (tptp.isomorphism @t23 @t4 @t57 @t1 @t53) (and @t33 @t47 (forall @t60 (=> (and @t44 @t26 @t43 @t25 @t56 @t55) (= @t58 @t54))))))) % 0.36/0.62 (assume @p29 @t67) % 0.36/0.62 (assume @p30 true) % 0.36/0.62 (step @p31 :rule instantiate :premises (@p5) :args ((@list @t88 @t74 @t73))) % 0.36/0.62 (step @p32 :rule eq-symm :args ((not (forall @t19 (or (not @t30) (not @t29)))) @t51)) % 0.36/0.62 (step @p33 :rule refl :args (@t51)) % 0.36/0.62 (step @p34 :rule bool-and-de-morgan :args (@t30 @t29 true)) % 0.36/0.62 (step @p35 :rule cong :premises (@p34) :args (@t89)) % 0.36/0.62 (step @p36 :rule cong :premises (@p35) :args (@t90)) % 0.36/0.62 (step @p37 :rule exists-elim :args ((= @t32 @t90))) % 0.36/0.62 (step @p38 :rule trans :premises (@p37 @p36)) % 0.36/0.62 (step @p39 :rule cong :premises (@p38 @p33) :args ((= @t32 @t51))) % 0.36/0.62 (step @p40 :rule trans :premises (@p39 @p32)) % 0.36/0.62 (step @p41 :rule eq-symm :args (@t51 @t32)) % 0.36/0.62 (step @p42 :rule trans :premises (@p41 @p40)) % 0.36/0.62 (step @p43 :rule cong :premises (@p42) :args (@t52)) % 0.36/0.62 (step @p44 :rule eq_resolve :premises (@p24 @p43)) % 0.36/0.62 (step @p45 :rule instantiate :premises (@p44) :args ((@list @t76 @t74 @t84))) % 0.36/0.62 (step @p46 :rule instantiate :premises (@p5) :args ((@list @t84 @t80 @t79))) % 0.36/0.62 (step @p47 :rule bool-impl-elim :args (@t5 @t3)) % 0.36/0.62 (step @p48 :rule cong :premises (@p47) :args (@t7)) % 0.36/0.62 (step @p49 :rule refl :args (@t8)) % 0.36/0.62 (step @p50 :rule cong :premises (@p49 @p48) :args (@t9)) % 0.36/0.62 (step @p51 :rule cong :premises (@p50) :args (@t11)) % 0.36/0.62 (step @p52 :rule eq_resolve :premises (@p1 @p51)) % 0.36/0.62 (step @p53 :rule instantiate :premises (@p52) :args ((@list @t81 @t77))) % 0.36/0.62 (step @p54 :rule instantiate :premises (@p52) :args (@t91)) % 0.36/0.62 (step @p55 :rule bool-double-not-elim :args (@t94)) % 0.36/0.62 (step @p56 :rule refl :args (@t97)) % 0.36/0.62 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t97 (not @t96)))) % 0.36/0.62 (step @p58 :rule cnf_or_neg :args (@t97 0)) % 0.36/0.62 (step @p59 :rule eq_resolve :premises (@p58 @p57)) % 0.36/0.62 (step @p60 :rule reordering :premises (@p59) :args ((or @t94 @t97))) % 0.36/0.62 (step @p61 :rule cnf_or_neg :args (@t97 1)) % 0.36/0.62 (step @p62 :rule instantiate :premises (@p44) :args ((@list @t76 @t75 @t93))) % 0.36/0.62 (step @p63 :rule cnf_equiv_pos1 :args (@t102)) % 0.36/0.62 (step @p64 :rule reordering :premises (@p63) :args ((or @t96 @t101 (not @t102)))) % 0.36/0.62 (step @p65 :rule instantiate :premises (@p5) :args ((@list @t93 @t80 @t79))) % 0.36/0.62 (step @p66 :rule cnf_equiv_pos2 :args (@t106)) % 0.36/0.62 (step @p67 :rule reordering :premises (@p66) :args ((or @t95 (not @t105) (not @t106)))) % 0.36/0.62 (step @p68 :rule refl :args (@t113)) % 0.36/0.62 (step @p69 :rule bool-double-not-elim :args (@t100)) % 0.36/0.62 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or (not @t101) @t113))) % 0.36/0.62 (assume-push @p281 @t101) % 0.36/0.62 (step @p72 :rule skolemize :premises (@p281)) % 0.36/0.62 (step-pop @p282 :rule scope :premises (@p72)) % 0.36/0.62 (step @p73 :rule process_scope :premises (@p282) :args (@t113)) % 0.36/0.62 (step @p75 :rule implies_elim :premises (@p73)) % 0.36/0.62 (step @p76 :rule eq_resolve :premises (@p75 @p70)) % 0.36/0.62 (step @p77 :rule cnf_or_neg :args (@t105 0)) % 0.36/0.62 (step @p78 :rule cnf_or_neg :args (@t105 1)) % 0.36/0.62 (step @p79 :rule bool-double-not-elim :args (@t110)) % 0.36/0.62 (step @p80 :rule refl :args (@t112)) % 0.36/0.62 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or @t112 (not @t111)))) % 0.36/0.62 (step @p82 :rule cnf_or_neg :args (@t112 0)) % 0.36/0.62 (step @p83 :rule eq_resolve :premises (@p82 @p81)) % 0.36/0.62 (step @p84 :rule reordering :premises (@p83) :args ((or @t110 @t112))) % 0.36/0.62 (step @p85 :rule bool-double-not-elim :args (@t108)) % 0.36/0.62 (step @p86 :rule nary_cong :premises (@p80 @p85) :args ((or @t112 (not @t109)))) % 0.36/0.62 (step @p87 :rule cnf_or_neg :args (@t112 1)) % 0.36/0.62 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.36/0.62 (step @p89 :rule reordering :premises (@p88) :args ((or @t108 @t112))) % 0.36/0.62 (step @p90 :rule instantiate :premises (@p44) :args ((@list @t76 @t74 @t93))) % 0.36/0.62 (step @p91 :rule bool-double-not-elim :args (@t114)) % 0.36/0.62 (step @p92 :rule refl :args (@t104)) % 0.36/0.62 (step @p93 :rule refl :args (@t117)) % 0.36/0.62 (step @p94 :rule nary_cong :premises (@p93 @p92 @p91) :args ((or @t117 @t104 (not @t115)))) % 0.36/0.62 (step @p95 :rule cnf_equiv_pos2 :args (@t116)) % 0.36/0.62 (step @p96 :rule eq_resolve :premises (@p95 @p94)) % 0.36/0.62 (step @p97 :rule reordering :premises (@p96) :args ((or @t104 @t114 @t117))) % 0.36/0.62 (step @p98 :rule instantiate :premises (@p44) :args ((@list @t76 @t73 @t93))) % 0.36/0.62 (step @p99 :rule bool-double-not-elim :args (@t119)) % 0.36/0.62 (step @p100 :rule refl :args (@t103)) % 0.36/0.62 (step @p101 :rule refl :args (@t122)) % 0.36/0.62 (step @p102 :rule nary_cong :premises (@p101 @p100 @p99) :args ((or @t122 @t103 (not @t120)))) % 0.36/0.62 (step @p103 :rule cnf_equiv_pos2 :args (@t121)) % 0.36/0.62 (step @p104 :rule eq_resolve :premises (@p103 @p102)) % 0.36/0.62 (step @p105 :rule reordering :premises (@p104) :args ((or @t103 @t119 @t122))) % 0.36/0.62 (step @p106 :rule instantiate :premises (@p5) :args ((@list @t107 @t74 @t73))) % 0.36/0.62 (step @p107 :rule cnf_equiv_pos1 :args (@t126)) % 0.36/0.62 (step @p108 :rule reordering :premises (@p107) :args ((or @t111 @t125 (not @t126)))) % 0.36/0.62 (assume-push @p283 @t114) % 0.36/0.62 (step @p110 :rule instantiate :premises (@p283) :args (@t127)) % 0.36/0.62 (step-pop @p284 :rule scope :premises (@p110)) % 0.36/0.62 (step @p111 :rule process_scope :premises (@p284) :args (@t129)) % 0.36/0.62 (step @p113 :rule implies_elim :premises (@p111)) % 0.36/0.62 (assume-push @p285 @t119) % 0.36/0.62 (step @p115 :rule instantiate :premises (@p285) :args (@t127)) % 0.36/0.62 (step-pop @p286 :rule scope :premises (@p115)) % 0.36/0.62 (step @p116 :rule process_scope :premises (@p286) :args (@t131)) % 0.36/0.62 (step @p118 :rule implies_elim :premises (@p116)) % 0.36/0.62 (step @p119 :rule cnf_or_pos :args (@t129)) % 0.36/0.62 (step @p120 :rule reordering :premises (@p119) :args ((or @t109 @t128 (not @t129)))) % 0.36/0.62 (step @p121 :rule cnf_or_pos :args (@t131)) % 0.36/0.62 (step @p122 :rule reordering :premises (@p121) :args ((or @t109 @t130 (not @t131)))) % 0.36/0.62 (step @p123 :rule cnf_or_pos :args (@t125)) % 0.36/0.62 (step @p124 :rule reordering :premises (@p123) :args ((or @t124 @t123 (not @t125)))) % 0.36/0.62 (step @p125 :rule chain_m_resolution :premises (@p124 @p122 @p120 @p118 @p113 @p108 @p106 @p105 @p98 @p97 @p90 @p89 @p84 @p78 @p77 @p76 @p67 @p65 @p64 @p62 @p61 @p60) :args (@t97 (@list true true false false false false false false false false false false true true true true false true false true false) (@list @t123 @t124 @t131 @t129 @t125 @t126 @t119 @t121 @t114 @t116 @t108 @t110 @t103 @t104 @t112 @t105 @t106 @t100 @t102 @t95 @t94))) % 0.36/0.62 (step @p126 :rule refl :args (@t132)) % 0.36/0.62 (step @p127 :rule bool-double-not-elim :args (@t92)) % 0.36/0.62 (step @p128 :rule nary_cong :premises (@p127 @p126) :args ((or (not @t133) @t132))) % 0.36/0.62 (assume-push @p287 @t133) % 0.36/0.62 (step @p130 :rule skolemize :premises (@p287)) % 0.36/0.62 (step-pop @p288 :rule scope :premises (@p130)) % 0.36/0.62 (step @p131 :rule process_scope :premises (@p288) :args (@t132)) % 0.36/0.62 (step @p133 :rule implies_elim :premises (@p131)) % 0.36/0.62 (step @p134 :rule eq_resolve :premises (@p133 @p128)) % 0.36/0.62 (step @p135 :rule chain_m_resolution :premises (@p134 @p125) :args (@t92 @t134 (@list @t97))) % 0.36/0.62 (step @p136 :rule cnf_equiv_pos2 :args (@t136)) % 0.36/0.62 (step @p137 :rule reordering :premises (@p136) :args ((or @t135 @t133 (not @t136)))) % 0.36/0.62 (step @p138 :rule chain_m_resolution :premises (@p137 @p135 @p54) :args (@t135 @t137 (@list @t92 @t136))) % 0.36/0.62 (step @p139 :rule instantiate :premises (@p2) :args (@t91)) % 0.36/0.62 (step @p140 :rule aci_norm :args ((= (or @t138 @t62) @t71))) % 0.36/0.62 (step @p141 :rule refl :args (@t62)) % 0.36/0.62 (step @p142 :rule aci_norm :args ((= (or @t70 (or @t69 @t68)) @t138))) % 0.36/0.62 (step @p143 :rule bool-and-de-morgan :args (@t64 @t63 true)) % 0.36/0.62 (step @p144 :rule refl :args (@t70)) % 0.36/0.62 (step @p145 :rule nary_cong :premises (@p144 @p143) :args ((or @t70 (not (and @t64 @t63))))) % 0.36/0.62 (step @p146 :rule bool-and-de-morgan :args (@t33 @t64 (and @t63))) % 0.36/0.62 (step @p147 :rule trans :premises (@p146 @p145)) % 0.36/0.62 (step @p148 :rule trans :premises (@p147 @p142)) % 0.36/0.62 (step @p149 :rule nary_cong :premises (@p148 @p141) :args ((or (not @t65) @t62))) % 0.36/0.62 (step @p150 :rule trans :premises (@p149 @p140)) % 0.36/0.62 (step @p151 :rule bool-impl-elim :args (@t65 @t62)) % 0.36/0.62 (step @p152 :rule trans :premises (@p151 @p150)) % 0.36/0.62 (step @p153 :rule cong :premises (@p152) :args (@t66)) % 0.36/0.62 (step @p154 :rule cong :premises (@p153) :args (@t67)) % 0.36/0.62 (step @p155 :rule eq_resolve :premises (@p29 @p154)) % 0.36/0.62 (step @p156 :rule skolemize :premises (@p155)) % 0.36/0.62 (step @p157 :rule cnf_or_neg :args (@t141 3)) % 0.36/0.62 (step @p158 :rule chain_m_resolution :premises (@p157 @p156) :args ((not @t139) @t142 (@list @t141))) % 0.36/0.62 (step @p159 :rule cnf_equiv_pos2 :args (@t145)) % 0.36/0.62 (step @p160 :rule reordering :premises (@p159) :args ((or @t139 @t146 (not @t145)))) % 0.36/0.62 (step @p161 :rule chain_m_resolution :premises (@p160 @p158 @p139) :args (@t146 @t147 (@list @t139 @t145))) % 0.36/0.62 (step @p162 :rule cnf_and_neg :args (@t144)) % 0.36/0.62 (step @p163 :rule chain_m_resolution :premises (@p162 @p161 @p138) :args ((not @t143) @t147 (@list @t144 @t135))) % 0.36/0.62 (step @p164 :rule cnf_equiv_pos2 :args (@t148)) % 0.36/0.62 (step @p165 :rule reordering :premises (@p164) :args ((or @t143 @t149 (not @t148)))) % 0.36/0.62 (step @p166 :rule chain_m_resolution :premises (@p165 @p163 @p53) :args (@t149 @t147 (@list @t143 @t148))) % 0.36/0.62 (step @p167 :rule refl :args (@t154)) % 0.36/0.62 (step @p168 :rule bool-double-not-elim :args (@t83)) % 0.36/0.62 (step @p169 :rule nary_cong :premises (@p168 @p167) :args ((or (not @t149) @t154))) % 0.36/0.62 (assume-push @p289 @t149) % 0.36/0.62 (step @p171 :rule skolemize :premises (@p289)) % 0.36/0.62 (step-pop @p290 :rule scope :premises (@p171)) % 0.36/0.62 (step @p172 :rule process_scope :premises (@p290) :args (@t154)) % 0.36/0.62 (step @p174 :rule implies_elim :premises (@p172)) % 0.36/0.62 (step @p175 :rule eq_resolve :premises (@p174 @p169)) % 0.36/0.62 (step @p176 :rule chain_m_resolution :premises (@p175 @p166) :args (@t154 @t142 (@list @t83))) % 0.36/0.62 (step @p177 :rule bool-double-not-elim :args (@t151)) % 0.36/0.62 (step @p178 :rule refl :args (@t153)) % 0.36/0.62 (step @p179 :rule nary_cong :premises (@p178 @p177) :args ((or @t153 (not @t152)))) % 0.36/0.62 (step @p180 :rule cnf_or_neg :args (@t153 0)) % 0.36/0.62 (step @p181 :rule eq_resolve :premises (@p180 @p179)) % 0.36/0.62 (step @p182 :rule reordering :premises (@p181) :args ((or @t151 @t153))) % 0.36/0.62 (step @p183 :rule chain_m_resolution :premises (@p182 @p176) :args (@t151 @t142 @t155)) % 0.36/0.62 (step @p184 :rule cnf_equiv_pos1 :args (@t159)) % 0.36/0.62 (step @p185 :rule reordering :premises (@p184) :args ((or @t152 @t158 (not @t159)))) % 0.36/0.62 (step @p186 :rule chain_m_resolution :premises (@p185 @p183 @p46) :args (@t158 @t137 (@list @t151 @t159))) % 0.36/0.62 (step @p187 :rule instantiate :premises (@p44) :args ((@list @t76 @t73 @t84))) % 0.36/0.62 (step @p188 :rule bool-double-not-elim :args (@t162)) % 0.36/0.62 (step @p189 :rule refl :args (@t166)) % 0.36/0.62 (step @p190 :rule nary_cong :premises (@p189 @p188) :args ((or @t166 (not @t165)))) % 0.36/0.62 (step @p191 :rule cnf_or_neg :args (@t166 0)) % 0.36/0.62 (step @p192 :rule eq_resolve :premises (@p191 @p190)) % 0.36/0.62 (step @p193 :rule reordering :premises (@p192) :args ((or @t162 @t166))) % 0.36/0.62 (step @p194 :rule bool-double-not-elim :args (@t163)) % 0.36/0.62 (step @p195 :rule nary_cong :premises (@p189 @p194) :args ((or @t166 (not @t164)))) % 0.36/0.62 (step @p196 :rule cnf_or_neg :args (@t166 1)) % 0.36/0.62 (step @p197 :rule eq_resolve :premises (@p196 @p195)) % 0.36/0.62 (step @p198 :rule reordering :premises (@p197) :args ((or @t163 @t166))) % 0.36/0.62 (step @p199 :rule cnf_or_neg :args (@t167 1)) % 0.36/0.62 (step @p200 :rule reordering :premises (@p199) :args ((or @t165 @t167))) % 0.36/0.62 (step @p201 :rule instantiate :premises (@p44) :args ((@list @t76 @t75 @t84))) % 0.36/0.62 (step @p202 :rule cnf_or_neg :args (@t153 1)) % 0.36/0.62 (step @p203 :rule chain_m_resolution :premises (@p202 @p176) :args ((not @t150) @t142 @t155)) % 0.36/0.62 (step @p204 :rule bool-double-not-elim :args (@t168)) % 0.36/0.62 (step @p205 :rule refl :args (@t150)) % 0.36/0.62 (step @p206 :rule refl :args (@t171)) % 0.36/0.62 (step @p207 :rule nary_cong :premises (@p206 @p205 @p204) :args ((or @t171 @t150 (not @t169)))) % 0.36/0.62 (step @p208 :rule cnf_equiv_pos2 :args (@t170)) % 0.36/0.62 (step @p209 :rule eq_resolve :premises (@p208 @p207)) % 0.36/0.62 (step @p210 :rule reordering :premises (@p209) :args ((or @t150 @t168 @t171))) % 0.36/0.62 (step @p211 :rule chain_m_resolution :premises (@p210 @p203 @p201) :args (@t168 @t147 (@list @t150 @t170))) % 0.36/0.62 (assume-push @p291 @t168) % 0.36/0.62 (step @p213 :rule instantiate :premises (@p291) :args ((@list @t161))) % 0.36/0.62 (step-pop @p292 :rule scope :premises (@p213)) % 0.36/0.62 (step @p214 :rule process_scope :premises (@p292) :args (@t174)) % 0.36/0.62 (step @p216 :rule implies_elim :premises (@p214)) % 0.36/0.62 (step @p217 :rule chain_m_resolution :premises (@p216 @p211) :args (@t174 @t134 @t175)) % 0.36/0.62 (step @p218 :rule cnf_or_pos :args (@t174)) % 0.36/0.62 (step @p219 :rule reordering :premises (@p218) :args ((or @t164 @t173 (not @t174)))) % 0.36/0.62 (step @p220 :rule instantiate :premises (@p5) :args ((@list @t161 @t74 @t73))) % 0.36/0.62 (step @p221 :rule cnf_equiv_pos2 :args (@t176)) % 0.36/0.62 (step @p222 :rule reordering :premises (@p221) :args ((or @t172 (not @t167) (not @t176)))) % 0.36/0.62 (step @p223 :rule chain_m_resolution :premises (@p222 @p220 @p219 @p217 @p200 @p198 @p193) :args (@t166 (@list false true false false false false) (@list @t176 @t172 @t174 @t167 @t163 @t162))) % 0.36/0.62 (step @p224 :rule refl :args (@t177)) % 0.36/0.62 (step @p225 :rule bool-double-not-elim :args (@t160)) % 0.36/0.62 (step @p226 :rule nary_cong :premises (@p225 @p224) :args ((or (not @t178) @t177))) % 0.36/0.62 (assume-push @p293 @t178) % 0.36/0.62 (step @p228 :rule skolemize :premises (@p293)) % 0.36/0.62 (step-pop @p294 :rule scope :premises (@p228)) % 0.36/0.62 (step @p229 :rule process_scope :premises (@p294) :args (@t177)) % 0.36/0.62 (step @p231 :rule implies_elim :premises (@p229)) % 0.36/0.62 (step @p232 :rule eq_resolve :premises (@p231 @p226)) % 0.36/0.62 (step @p233 :rule chain_m_resolution :premises (@p232 @p223) :args (@t160 @t134 (@list @t166))) % 0.36/0.62 (step @p234 :rule cnf_equiv_pos1 :args (@t179)) % 0.36/0.62 (step @p235 :rule reordering :premises (@p234) :args ((or @t180 @t178 (not @t179)))) % 0.36/0.62 (step @p236 :rule chain_m_resolution :premises (@p235 @p233 @p187) :args (@t180 @t137 (@list @t160 @t179))) % 0.36/0.62 (step @p237 :rule cnf_or_pos :args (@t158)) % 0.36/0.62 (step @p238 :rule reordering :premises (@p237) :args ((or @t157 @t156 (not @t158)))) % 0.36/0.62 (step @p239 :rule chain_m_resolution :premises (@p238 @p236 @p186) :args (@t157 @t147 (@list @t156 @t158))) % 0.36/0.62 (step @p240 :rule cnf_equiv_pos1 :args (@t182)) % 0.36/0.62 (step @p241 :rule reordering :premises (@p240) :args ((or (not @t157) @t181 (not @t182)))) % 0.36/0.62 (step @p242 :rule chain_m_resolution :premises (@p241 @p239 @p45) :args (@t181 @t137 (@list @t157 @t182))) % 0.36/0.62 (step @p243 :rule refl :args (@t188)) % 0.36/0.62 (step @p244 :rule bool-double-not-elim :args (@t87)) % 0.36/0.62 (step @p245 :rule nary_cong :premises (@p244 @p243) :args ((or (not @t181) @t188))) % 0.36/0.62 (assume-push @p295 @t181) % 0.36/0.62 (step @p247 :rule skolemize :premises (@p295)) % 0.36/0.62 (step-pop @p296 :rule scope :premises (@p247)) % 0.36/0.62 (step @p248 :rule process_scope :premises (@p296) :args (@t188)) % 0.36/0.62 (step @p250 :rule implies_elim :premises (@p248)) % 0.36/0.62 (step @p251 :rule eq_resolve :premises (@p250 @p245)) % 0.36/0.62 (step @p252 :rule chain_m_resolution :premises (@p251 @p242) :args (@t188 @t142 (@list @t87))) % 0.36/0.62 (step @p253 :rule bool-double-not-elim :args (@t185)) % 0.36/0.62 (step @p254 :rule refl :args (@t187)) % 0.36/0.62 (step @p255 :rule nary_cong :premises (@p254 @p253) :args ((or @t187 (not @t186)))) % 0.36/0.62 (step @p256 :rule cnf_or_neg :args (@t187 0)) % 0.36/0.62 (step @p257 :rule eq_resolve :premises (@p256 @p255)) % 0.36/0.62 (step @p258 :rule reordering :premises (@p257) :args ((or @t185 @t187))) % 0.36/0.62 (step @p259 :rule chain_m_resolution :premises (@p258 @p252) :args (@t185 @t142 @t189)) % 0.36/0.62 (step @p260 :rule cnf_or_neg :args (@t190 0)) % 0.36/0.62 (step @p261 :rule reordering :premises (@p260) :args ((or @t186 @t190))) % 0.36/0.62 (step @p262 :rule chain_m_resolution :premises (@p261 @p259) :args (@t190 @t134 (@list @t185))) % 0.36/0.62 (assume-push @p297 @t168) % 0.36/0.62 (step @p264 :rule instantiate :premises (@p297) :args ((@list @t88))) % 0.36/0.62 (step-pop @p298 :rule scope :premises (@p264)) % 0.36/0.62 (step @p265 :rule process_scope :premises (@p298) :args (@t193)) % 0.36/0.62 (step @p267 :rule implies_elim :premises (@p265)) % 0.36/0.62 (step @p268 :rule chain_m_resolution :premises (@p267 @p211) :args (@t193 @t134 @t175)) % 0.36/0.62 (step @p269 :rule bool-double-not-elim :args (@t183)) % 0.36/0.62 (step @p270 :rule nary_cong :premises (@p254 @p269) :args ((or @t187 (not @t184)))) % 0.36/0.62 (step @p271 :rule cnf_or_neg :args (@t187 1)) % 0.36/0.62 (step @p272 :rule eq_resolve :premises (@p271 @p270)) % 0.36/0.62 (step @p273 :rule reordering :premises (@p272) :args ((or @t183 @t187))) % 0.36/0.62 (step @p274 :rule chain_m_resolution :premises (@p273 @p252) :args (@t183 @t142 @t189)) % 0.36/0.62 (step @p275 :rule cnf_or_pos :args (@t193)) % 0.36/0.62 (step @p276 :rule reordering :premises (@p275) :args ((or @t184 @t192 (not @t193)))) % 0.36/0.62 (step @p277 :rule chain_m_resolution :premises (@p276 @p274 @p268) :args (@t192 @t137 (@list @t183 @t193))) % 0.36/0.62 (step @p278 :rule cnf_equiv_pos2 :args (@t194)) % 0.36/0.62 (step @p279 :rule reordering :premises (@p278) :args ((or @t191 (not @t190) (not @t194)))) % 0.36/0.62 (step @p280 false :rule chain_m_resolution :premises (@p279 @p277 @p262 @p31) :args (false (@list true false false) (@list @t191 @t190 @t194))) % 0.36/0.62 ) % 0.36/0.62 % SZS output end Proof % 0.36/0.62 % cvc5 exiting %------------------------------------------------------------------------------