%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET752+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 : n013.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 08:48:34 AM UTC 2026 % Result : Theorem 0.47s 0.64s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET752+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 % 0.17/0.34 % Computer : n013.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:10:30 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.47/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.47/0.64 % SZS status Theorem % 0.47/0.64 % SZS output start Proof % 0.47/0.64 ( % 0.47/0.64 (declare-sort $$unsorted 0) % 0.47/0.64 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.64 (declare-const tptp.inverse_function (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.47/0.64 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.empty_set $$unsorted) % 0.47/0.64 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.equal_maps (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.64 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.one_to_one (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.64 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.47/0.64 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.increasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.64 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.47/0.64 (declare-const tptp.surjective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.64 (declare-const tptp.isomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.64 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.64 (declare-const tptp.compose_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.64 (declare-const tptp.identity (-> $$unsorted $$unsorted Bool)) % 0.47/0.64 (declare-const tptp.injective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.64 (declare-const tptp.compose_function (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.inverse_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.64 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.inverse_image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.64 (declare-const tptp.decreasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.64 (declare-const tptp.inverse_image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.64 (define @t1 () (@var "B" $$unsorted)) % 0.47/0.64 (define @t2 () (@var "X" $$unsorted)) % 0.47/0.64 (define @t3 () (tptp.member @t2 @t1)) % 0.47/0.64 (define @t4 () (@var "A" $$unsorted)) % 0.47/0.64 (define @t5 () (tptp.member @t2 @t4)) % 0.47/0.64 (define @t6 () (@list @t2)) % 0.47/0.64 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.47/0.64 (define @t8 () (tptp.subset @t4 @t1)) % 0.47/0.64 (define @t9 () (= @t8 @t7)) % 0.47/0.64 (define @t10 () (@list @t4 @t1)) % 0.47/0.64 (define @t11 () (forall @t10 @t9)) % 0.47/0.64 (define @t12 () (tptp.subset @t2 @t4)) % 0.47/0.64 (define @t13 () (@list @t2 @t4)) % 0.47/0.64 (define @t14 () (@list @t2 @t4 @t1)) % 0.47/0.64 (define @t15 () (@var "E" $$unsorted)) % 0.47/0.64 (define @t16 () (= @t2 @t4)) % 0.47/0.64 (define @t17 () (@var "Y" $$unsorted)) % 0.47/0.64 (define @t18 () (tptp.member @t2 @t17)) % 0.47/0.64 (define @t19 () (tptp.member @t17 @t4)) % 0.47/0.64 (define @t20 () (@list @t17)) % 0.47/0.64 (define @t21 () (@var "Y2" $$unsorted)) % 0.47/0.64 (define @t22 () (@var "Y1" $$unsorted)) % 0.47/0.64 (define @t23 () (= @t22 @t21)) % 0.47/0.64 (define @t24 () (@var "F" $$unsorted)) % 0.47/0.64 (define @t25 () (tptp.apply @t24 @t2 @t22)) % 0.47/0.64 (define @t26 () (tptp.member @t21 @t1)) % 0.47/0.64 (define @t27 () (tptp.member @t22 @t1)) % 0.47/0.64 (define @t28 () (and @t5 @t27 @t26)) % 0.47/0.64 (define @t29 () (@list @t2 @t22 @t21)) % 0.47/0.64 (define @t30 () (tptp.apply @t24 @t2 @t17)) % 0.47/0.64 (define @t31 () (tptp.member @t17 @t1)) % 0.47/0.64 (define @t32 () (exists @t20 (and @t31 @t30))) % 0.47/0.64 (define @t33 () (tptp.maps @t24 @t4 @t1)) % 0.47/0.64 (define @t34 () (@list @t24 @t4 @t1)) % 0.47/0.64 (define @t35 () (@var "Z" $$unsorted)) % 0.47/0.64 (define @t36 () (@var "G" $$unsorted)) % 0.47/0.64 (define @t37 () (exists @t20 (and @t31 @t30 (tptp.apply @t36 @t17 @t35)))) % 0.47/0.64 (define @t38 () (@var "H" $$unsorted)) % 0.47/0.64 (define @t39 () (@var "C" $$unsorted)) % 0.47/0.64 (define @t40 () (and @t5 (tptp.member @t35 @t39))) % 0.47/0.64 (define @t41 () (@var "X2" $$unsorted)) % 0.47/0.64 (define @t42 () (@var "X1" $$unsorted)) % 0.47/0.64 (define @t43 () (tptp.member @t41 @t4)) % 0.47/0.64 (define @t44 () (tptp.member @t42 @t4)) % 0.47/0.64 (define @t45 () (tptp.injective @t24 @t4 @t1)) % 0.47/0.64 (define @t46 () (tptp.surjective @t24 @t4 @t1)) % 0.47/0.64 (define @t47 () (tptp.one_to_one @t24 @t4 @t1)) % 0.47/0.64 (define @t48 () (and @t5 @t31)) % 0.47/0.64 (define @t49 () (@list @t24 @t4 @t1 @t2 @t17)) % 0.47/0.64 (define @t50 () (and @t5 @t30)) % 0.47/0.64 (define @t51 () (exists @t6 @t50)) % 0.47/0.64 (define @t52 () (tptp.member @t17 (tptp.image2 @t24 @t4))) % 0.47/0.64 (define @t53 () (= @t52 @t51)) % 0.47/0.64 (define @t54 () (forall (@list @t24 @t4 @t17) @t53)) % 0.47/0.64 (define @t55 () (@var "S" $$unsorted)) % 0.47/0.64 (define @t56 () (tptp.apply @t55 @t22 @t21)) % 0.47/0.64 (define @t57 () (tptp.apply @t24 @t41 @t21)) % 0.47/0.64 (define @t58 () (tptp.apply @t24 @t42 @t22)) % 0.47/0.64 (define @t59 () (@var "R" $$unsorted)) % 0.47/0.64 (define @t60 () (tptp.apply @t59 @t42 @t41)) % 0.47/0.64 (define @t61 () (and @t44 @t27 @t43 @t26 @t60 @t58 @t57)) % 0.47/0.64 (define @t62 () (@list @t42 @t22 @t41 @t21)) % 0.47/0.64 (define @t63 () (@list @t24 @t4 @t59 @t1 @t55)) % 0.47/0.64 (define @t64 () (tptp.equal_set (tptp.image2 @t24 (tptp.union @t2 @t17)) (tptp.union (tptp.image2 @t24 @t2) (tptp.image2 @t24 @t17)))) % 0.47/0.64 (define @t65 () (tptp.subset @t17 @t4)) % 0.47/0.64 (define @t66 () (and @t33 @t12 @t65)) % 0.47/0.64 (define @t67 () (forall @t49 (=> @t66 @t64))) % 0.47/0.64 (define @t68 () (not @t67)) % 0.47/0.64 (define @t69 () (not @t65)) % 0.47/0.64 (define @t70 () (not @t12)) % 0.47/0.64 (define @t71 () (not @t33)) % 0.47/0.64 (define @t72 () (or @t71 @t70 @t69 @t64)) % 0.47/0.64 (define @t73 () (forall @t49 @t72)) % 0.47/0.64 (define @t74 () (@quantifiers_skolemize @t73 4)) % 0.47/0.64 (define @t75 () (@quantifiers_skolemize @t73 3)) % 0.47/0.64 (define @t76 () (tptp.union @t75 @t74)) % 0.47/0.64 (define @t77 () (@quantifiers_skolemize @t73 0)) % 0.47/0.64 (define @t78 () (tptp.image2 @t77 @t76)) % 0.47/0.64 (define @t79 () (tptp.member @t2 @t78)) % 0.47/0.64 (define @t80 () (tptp.image2 @t77 @t74)) % 0.47/0.64 (define @t81 () (tptp.image2 @t77 @t75)) % 0.47/0.64 (define @t82 () (tptp.union @t81 @t80)) % 0.47/0.64 (define @t83 () (tptp.member @t2 @t82)) % 0.47/0.64 (define @t84 () (forall @t6 (or (not @t83) @t79))) % 0.47/0.64 (define @t85 () (@quantifiers_skolemize @t84 0)) % 0.47/0.64 (define @t86 () (not (tptp.apply @t77 @t2 @t85))) % 0.47/0.64 (define @t87 () (not (tptp.member @t2 @t75))) % 0.47/0.64 (define @t88 () (forall @t6 (or @t87 @t86))) % 0.47/0.64 (define @t89 () (@quantifiers_skolemize @t88 0)) % 0.47/0.64 (define @t90 () (forall @t6 (not @t50))) % 0.47/0.64 (define @t91 () (not @t90)) % 0.47/0.64 (define @t92 () (@list @t78 @t82)) % 0.47/0.64 (define @t93 () (forall @t6 (or (not @t79) @t83))) % 0.47/0.64 (define @t94 () (@quantifiers_skolemize @t93 0)) % 0.47/0.64 (define @t95 () (tptp.member @t94 @t78)) % 0.47/0.64 (define @t96 () (tptp.member @t94 @t82)) % 0.47/0.64 (define @t97 () (not @t95)) % 0.47/0.64 (define @t98 () (or @t97 @t96)) % 0.47/0.64 (define @t99 () (not (tptp.apply @t77 @t2 @t94))) % 0.47/0.64 (define @t100 () (not (tptp.member @t2 @t76))) % 0.47/0.64 (define @t101 () (forall @t6 (or @t100 @t99))) % 0.47/0.64 (define @t102 () (not @t101)) % 0.47/0.64 (define @t103 () (= @t95 @t102)) % 0.47/0.64 (define @t104 () (tptp.member @t94 @t80)) % 0.47/0.64 (define @t105 () (tptp.member @t94 @t81)) % 0.47/0.64 (define @t106 () (or @t105 @t104)) % 0.47/0.64 (define @t107 () (= @t96 @t106)) % 0.47/0.64 (define @t108 () (@quantifiers_skolemize @t101 0)) % 0.47/0.64 (define @t109 () (tptp.apply @t77 @t108 @t94)) % 0.47/0.64 (define @t110 () (not @t109)) % 0.47/0.64 (define @t111 () (tptp.member @t108 @t76)) % 0.47/0.64 (define @t112 () (not @t111)) % 0.47/0.64 (define @t113 () (or @t112 @t110)) % 0.47/0.64 (define @t114 () (not @t113)) % 0.47/0.64 (define @t115 () (forall @t6 (or @t87 @t99))) % 0.47/0.64 (define @t116 () (not @t115)) % 0.47/0.64 (define @t117 () (= @t105 @t116)) % 0.47/0.64 (define @t118 () (not @t117)) % 0.47/0.64 (define @t119 () (not (tptp.member @t2 @t74))) % 0.47/0.64 (define @t120 () (forall @t6 (or @t119 @t99))) % 0.47/0.64 (define @t121 () (not @t120)) % 0.47/0.64 (define @t122 () (= @t104 @t121)) % 0.47/0.64 (define @t123 () (not @t122)) % 0.47/0.64 (define @t124 () (tptp.member @t108 @t74)) % 0.47/0.64 (define @t125 () (tptp.member @t108 @t75)) % 0.47/0.64 (define @t126 () (or @t125 @t124)) % 0.47/0.64 (define @t127 () (= @t111 @t126)) % 0.47/0.64 (define @t128 () (@list @t108)) % 0.47/0.64 (define @t129 () (not @t125)) % 0.47/0.64 (define @t130 () (or @t129 @t110)) % 0.47/0.64 (define @t131 () (not @t124)) % 0.47/0.64 (define @t132 () (or @t131 @t110)) % 0.47/0.64 (define @t133 () (not @t98)) % 0.47/0.64 (define @t134 () (not @t93)) % 0.47/0.64 (define @t135 () (@list false)) % 0.47/0.64 (define @t136 () (tptp.subset @t78 @t82)) % 0.47/0.64 (define @t137 () (= @t136 @t93)) % 0.47/0.64 (define @t138 () (@list false false)) % 0.47/0.64 (define @t139 () (or @t71 @t70 @t69)) % 0.47/0.64 (define @t140 () (tptp.equal_set @t78 @t82)) % 0.47/0.64 (define @t141 () (@quantifiers_skolemize @t73 1)) % 0.47/0.64 (define @t142 () (or (not (tptp.maps @t77 @t141 (@quantifiers_skolemize @t73 2))) (not (tptp.subset @t75 @t141)) (not (tptp.subset @t74 @t141)) @t140)) % 0.47/0.64 (define @t143 () (@list true)) % 0.47/0.64 (define @t144 () (tptp.subset @t82 @t78)) % 0.47/0.64 (define @t145 () (and @t136 @t144)) % 0.47/0.64 (define @t146 () (= @t140 @t145)) % 0.47/0.64 (define @t147 () (not @t145)) % 0.47/0.64 (define @t148 () (@list true false)) % 0.47/0.64 (define @t149 () (= @t144 @t84)) % 0.47/0.64 (define @t150 () (not @t84)) % 0.47/0.64 (define @t151 () (tptp.member @t85 @t78)) % 0.47/0.64 (define @t152 () (tptp.member @t85 @t82)) % 0.47/0.64 (define @t153 () (not @t152)) % 0.47/0.64 (define @t154 () (or @t153 @t151)) % 0.47/0.64 (define @t155 () (not @t154)) % 0.47/0.64 (define @t156 () (@list @t154)) % 0.47/0.64 (define @t157 () (tptp.member @t85 @t80)) % 0.47/0.64 (define @t158 () (tptp.member @t85 @t81)) % 0.47/0.64 (define @t159 () (or @t158 @t157)) % 0.47/0.64 (define @t160 () (= @t152 @t159)) % 0.47/0.64 (define @t161 () (forall @t6 (or @t119 @t86))) % 0.47/0.64 (define @t162 () (@quantifiers_skolemize @t161 0)) % 0.47/0.64 (define @t163 () (tptp.member @t162 @t74)) % 0.47/0.64 (define @t164 () (tptp.apply @t77 @t162 @t85)) % 0.47/0.64 (define @t165 () (not @t164)) % 0.47/0.64 (define @t166 () (not @t163)) % 0.47/0.64 (define @t167 () (or @t166 @t165)) % 0.47/0.64 (define @t168 () (or (tptp.member @t162 @t75) @t163)) % 0.47/0.64 (define @t169 () (forall @t6 (or @t100 @t86))) % 0.47/0.64 (define @t170 () (not @t169)) % 0.47/0.64 (define @t171 () (= @t151 @t170)) % 0.47/0.64 (define @t172 () (not @t171)) % 0.47/0.64 (define @t173 () (tptp.member @t162 @t76)) % 0.47/0.64 (define @t174 () (not @t173)) % 0.47/0.64 (define @t175 () (or @t174 @t165)) % 0.47/0.64 (define @t176 () (@list @t169)) % 0.47/0.64 (define @t177 () (= @t173 @t168)) % 0.47/0.64 (define @t178 () (not @t167)) % 0.47/0.64 (define @t179 () (not @t161)) % 0.47/0.64 (define @t180 () (= @t157 @t179)) % 0.47/0.64 (define @t181 () (not @t157)) % 0.47/0.64 (define @t182 () (not @t88)) % 0.47/0.64 (define @t183 () (= @t158 @t182)) % 0.47/0.64 (define @t184 () (tptp.apply @t77 @t89 @t85)) % 0.47/0.64 (define @t185 () (not @t184)) % 0.47/0.64 (define @t186 () (tptp.member @t89 @t75)) % 0.47/0.64 (define @t187 () (not @t186)) % 0.47/0.64 (define @t188 () (or @t187 @t185)) % 0.47/0.64 (define @t189 () (not @t188)) % 0.47/0.64 (define @t190 () (@list @t188)) % 0.47/0.64 (define @t191 () (or @t186 (tptp.member @t89 @t74))) % 0.47/0.64 (define @t192 () (tptp.member @t89 @t76)) % 0.47/0.64 (define @t193 () (not @t192)) % 0.47/0.64 (define @t194 () (or @t193 @t185)) % 0.47/0.64 (define @t195 () (= @t192 @t191)) % 0.47/0.64 (assume @p1 @t11) % 0.47/0.64 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.47/0.64 (assume @p3 (forall @t13 (= (tptp.member @t2 (tptp.power_set @t4)) @t12))) % 0.47/0.64 (assume @p4 (forall @t14 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.47/0.64 (assume @p5 (forall @t14 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.47/0.64 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.47/0.64 (assume @p7 (forall (@list @t1 @t4 @t15) (= (tptp.member @t1 (tptp.difference @t15 @t4)) (and (tptp.member @t1 @t15) (not (tptp.member @t1 @t4)))))) % 0.47/0.64 (assume @p8 (forall @t13 (= (tptp.member @t2 (tptp.singleton @t4)) @t16))) % 0.47/0.64 (assume @p9 (forall @t14 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t16 (= @t2 @t1))))) % 0.47/0.64 (assume @p10 (forall @t13 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t20 (and @t19 @t18))))) % 0.47/0.64 (assume @p11 (forall @t13 (= (tptp.member @t2 (tptp.product @t4)) (forall @t20 (=> @t19 @t18))))) % 0.47/0.64 (assume @p12 (forall @t34 (= @t33 (and (forall @t6 (=> @t5 @t32)) (forall @t29 (=> @t28 (=> (and @t25 (tptp.apply @t24 @t2 @t21)) @t23))))))) % 0.47/0.64 (assume @p13 (forall (@list @t38 @t36 @t24 @t4 @t1 @t39) (= (tptp.compose_predicate @t38 @t36 @t24 @t4 @t1 @t39) (forall (@list @t2 @t35) (=> @t40 (= (tptp.apply @t38 @t2 @t35) @t37)))))) % 0.47/0.64 (assume @p14 (forall (@list @t36 @t24 @t4 @t1 @t39 @t2 @t35) (=> @t40 (= (tptp.apply (tptp.compose_function @t36 @t24 @t4 @t1 @t39) @t2 @t35) @t37)))) % 0.47/0.64 (assume @p15 (forall (@list @t24 @t36 @t4 @t1) (= (tptp.equal_maps @t24 @t36 @t4 @t1) (forall @t29 (=> @t28 (=> (and @t25 (tptp.apply @t36 @t2 @t21)) @t23)))))) % 0.47/0.64 (assume @p16 (forall (@list @t24 @t4) (= (tptp.identity @t24 @t4) (forall @t6 (=> @t5 (tptp.apply @t24 @t2 @t2)))))) % 0.47/0.64 (assume @p17 (forall @t34 (= @t45 (forall (@list @t42 @t41 @t17) (=> (and @t44 @t43 @t31) (=> (and (tptp.apply @t24 @t42 @t17) (tptp.apply @t24 @t41 @t17)) (= @t42 @t41))))))) % 0.47/0.64 (assume @p18 (forall @t34 (= @t46 (forall @t20 (=> @t31 (exists (@list @t15) (and (tptp.member @t15 @t4) (tptp.apply @t24 @t15 @t17)))))))) % 0.47/0.64 (assume @p19 (forall @t34 (= @t47 (and @t45 @t46)))) % 0.47/0.64 (assume @p20 (forall (@list @t36 @t24 @t4 @t1) (= (tptp.inverse_predicate @t36 @t24 @t4 @t1) (forall (@list @t2 @t17) (=> @t48 (= @t30 (tptp.apply @t36 @t17 @t2))))))) % 0.47/0.64 (assume @p21 (forall @t49 (=> @t48 (= @t30 (tptp.apply (tptp.inverse_function @t24 @t4 @t1) @t17 @t2))))) % 0.47/0.64 (assume @p22 @t54) % 0.47/0.64 (assume @p23 (forall (@list @t24 @t4 @t1 @t17) (= (tptp.member @t17 (tptp.image3 @t24 @t4 @t1)) (and @t31 @t51)))) % 0.47/0.64 (assume @p24 (forall (@list @t24 @t1 @t2) (= (tptp.member @t2 (tptp.inverse_image2 @t24 @t1)) @t32))) % 0.47/0.64 (assume @p25 (forall (@list @t24 @t1 @t4 @t2) (= (tptp.member @t2 (tptp.inverse_image3 @t24 @t1 @t4)) (and @t5 @t32)))) % 0.47/0.64 (assume @p26 (forall @t63 (= (tptp.increasing @t24 @t4 @t59 @t1 @t55) (forall @t62 (=> @t61 @t56))))) % 0.47/0.64 (assume @p27 (forall @t63 (= (tptp.decreasing @t24 @t4 @t59 @t1 @t55) (forall @t62 (=> @t61 (tptp.apply @t55 @t21 @t22)))))) % 0.47/0.64 (assume @p28 (forall @t63 (= (tptp.isomorphism @t24 @t4 @t59 @t1 @t55) (and @t33 @t47 (forall @t62 (=> (and @t44 @t27 @t43 @t26 @t58 @t57) (= @t60 @t56))))))) % 0.47/0.64 (assume @p29 @t68) % 0.47/0.64 (assume @p30 true) % 0.47/0.64 (step @p31 :rule instantiate :premises (@p5) :args ((@list @t89 @t75 @t74))) % 0.47/0.64 (step @p32 :rule bool-and-de-morgan :args (@t5 @t30 true)) % 0.47/0.64 (step @p33 :rule cong :premises (@p32) :args (@t90)) % 0.47/0.64 (step @p34 :rule cong :premises (@p33) :args (@t91)) % 0.47/0.64 (step @p35 :rule exists-elim :args ((= @t51 @t91))) % 0.47/0.64 (step @p36 :rule trans :premises (@p35 @p34)) % 0.47/0.64 (step @p37 :rule refl :args (@t52)) % 0.47/0.64 (step @p38 :rule cong :premises (@p37 @p36) :args (@t53)) % 0.47/0.64 (step @p39 :rule cong :premises (@p38) :args (@t54)) % 0.47/0.64 (step @p40 :rule eq_resolve :premises (@p22 @p39)) % 0.47/0.64 (step @p41 :rule instantiate :premises (@p40) :args ((@list @t77 @t75 @t85))) % 0.47/0.64 (step @p42 :rule instantiate :premises (@p5) :args ((@list @t85 @t81 @t80))) % 0.47/0.64 (step @p43 :rule bool-impl-elim :args (@t5 @t3)) % 0.47/0.64 (step @p44 :rule cong :premises (@p43) :args (@t7)) % 0.47/0.64 (step @p45 :rule refl :args (@t8)) % 0.47/0.64 (step @p46 :rule cong :premises (@p45 @p44) :args (@t9)) % 0.47/0.64 (step @p47 :rule cong :premises (@p46) :args (@t11)) % 0.47/0.64 (step @p48 :rule eq_resolve :premises (@p1 @p47)) % 0.47/0.64 (step @p49 :rule instantiate :premises (@p48) :args ((@list @t82 @t78))) % 0.47/0.64 (step @p50 :rule instantiate :premises (@p48) :args (@t92)) % 0.47/0.64 (step @p51 :rule bool-double-not-elim :args (@t95)) % 0.47/0.64 (step @p52 :rule refl :args (@t98)) % 0.47/0.64 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or @t98 (not @t97)))) % 0.47/0.64 (step @p54 :rule cnf_or_neg :args (@t98 0)) % 0.47/0.64 (step @p55 :rule eq_resolve :premises (@p54 @p53)) % 0.47/0.64 (step @p56 :rule reordering :premises (@p55) :args ((or @t95 @t98))) % 0.47/0.64 (step @p57 :rule cnf_or_neg :args (@t98 1)) % 0.47/0.64 (step @p58 :rule instantiate :premises (@p40) :args ((@list @t77 @t76 @t94))) % 0.47/0.64 (step @p59 :rule cnf_equiv_pos1 :args (@t103)) % 0.47/0.64 (step @p60 :rule reordering :premises (@p59) :args ((or @t97 @t102 (not @t103)))) % 0.47/0.64 (step @p61 :rule instantiate :premises (@p5) :args ((@list @t94 @t81 @t80))) % 0.47/0.64 (step @p62 :rule cnf_equiv_pos2 :args (@t107)) % 0.47/0.64 (step @p63 :rule reordering :premises (@p62) :args ((or @t96 (not @t106) (not @t107)))) % 0.47/0.64 (step @p64 :rule refl :args (@t114)) % 0.47/0.64 (step @p65 :rule bool-double-not-elim :args (@t101)) % 0.47/0.64 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or (not @t102) @t114))) % 0.47/0.64 (assume-push @p277 @t102) % 0.47/0.64 (step @p68 :rule skolemize :premises (@p277)) % 0.47/0.64 (step-pop @p278 :rule scope :premises (@p68)) % 0.47/0.64 (step @p69 :rule process_scope :premises (@p278) :args (@t114)) % 0.47/0.64 (step @p71 :rule implies_elim :premises (@p69)) % 0.47/0.64 (step @p72 :rule eq_resolve :premises (@p71 @p66)) % 0.47/0.64 (step @p73 :rule cnf_or_neg :args (@t106 0)) % 0.47/0.64 (step @p74 :rule cnf_or_neg :args (@t106 1)) % 0.47/0.64 (step @p75 :rule bool-double-not-elim :args (@t111)) % 0.47/0.64 (step @p76 :rule refl :args (@t113)) % 0.47/0.64 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or @t113 (not @t112)))) % 0.47/0.64 (step @p78 :rule cnf_or_neg :args (@t113 0)) % 0.47/0.64 (step @p79 :rule eq_resolve :premises (@p78 @p77)) % 0.47/0.64 (step @p80 :rule reordering :premises (@p79) :args ((or @t111 @t113))) % 0.47/0.64 (step @p81 :rule bool-double-not-elim :args (@t109)) % 0.47/0.64 (step @p82 :rule nary_cong :premises (@p76 @p81) :args ((or @t113 (not @t110)))) % 0.47/0.64 (step @p83 :rule cnf_or_neg :args (@t113 1)) % 0.47/0.64 (step @p84 :rule eq_resolve :premises (@p83 @p82)) % 0.47/0.64 (step @p85 :rule reordering :premises (@p84) :args ((or @t109 @t113))) % 0.47/0.64 (step @p86 :rule instantiate :premises (@p40) :args ((@list @t77 @t75 @t94))) % 0.47/0.64 (step @p87 :rule bool-double-not-elim :args (@t115)) % 0.47/0.64 (step @p88 :rule refl :args (@t105)) % 0.47/0.64 (step @p89 :rule refl :args (@t118)) % 0.47/0.64 (step @p90 :rule nary_cong :premises (@p89 @p88 @p87) :args ((or @t118 @t105 (not @t116)))) % 0.47/0.64 (step @p91 :rule cnf_equiv_pos2 :args (@t117)) % 0.47/0.64 (step @p92 :rule eq_resolve :premises (@p91 @p90)) % 0.47/0.64 (step @p93 :rule reordering :premises (@p92) :args ((or @t105 @t115 @t118))) % 0.47/0.64 (step @p94 :rule instantiate :premises (@p40) :args ((@list @t77 @t74 @t94))) % 0.47/0.64 (step @p95 :rule bool-double-not-elim :args (@t120)) % 0.47/0.64 (step @p96 :rule refl :args (@t104)) % 0.47/0.64 (step @p97 :rule refl :args (@t123)) % 0.47/0.64 (step @p98 :rule nary_cong :premises (@p97 @p96 @p95) :args ((or @t123 @t104 (not @t121)))) % 0.47/0.64 (step @p99 :rule cnf_equiv_pos2 :args (@t122)) % 0.47/0.64 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 0.47/0.64 (step @p101 :rule reordering :premises (@p100) :args ((or @t104 @t120 @t123))) % 0.47/0.64 (step @p102 :rule instantiate :premises (@p5) :args ((@list @t108 @t75 @t74))) % 0.47/0.64 (step @p103 :rule cnf_equiv_pos1 :args (@t127)) % 0.47/0.64 (step @p104 :rule reordering :premises (@p103) :args ((or @t112 @t126 (not @t127)))) % 0.47/0.64 (assume-push @p279 @t115) % 0.47/0.64 (step @p106 :rule instantiate :premises (@p279) :args (@t128)) % 0.47/0.64 (step-pop @p280 :rule scope :premises (@p106)) % 0.47/0.64 (step @p107 :rule process_scope :premises (@p280) :args (@t130)) % 0.47/0.64 (step @p109 :rule implies_elim :premises (@p107)) % 0.47/0.64 (assume-push @p281 @t120) % 0.47/0.64 (step @p111 :rule instantiate :premises (@p281) :args (@t128)) % 0.47/0.64 (step-pop @p282 :rule scope :premises (@p111)) % 0.47/0.64 (step @p112 :rule process_scope :premises (@p282) :args (@t132)) % 0.47/0.64 (step @p114 :rule implies_elim :premises (@p112)) % 0.47/0.64 (step @p115 :rule cnf_or_pos :args (@t130)) % 0.47/0.64 (step @p116 :rule reordering :premises (@p115) :args ((or @t110 @t129 (not @t130)))) % 0.47/0.64 (step @p117 :rule cnf_or_pos :args (@t132)) % 0.47/0.64 (step @p118 :rule reordering :premises (@p117) :args ((or @t110 @t131 (not @t132)))) % 0.47/0.64 (step @p119 :rule cnf_or_pos :args (@t126)) % 0.47/0.64 (step @p120 :rule reordering :premises (@p119) :args ((or @t125 @t124 (not @t126)))) % 0.47/0.64 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p116 @p114 @p109 @p104 @p102 @p101 @p94 @p93 @p86 @p85 @p80 @p74 @p73 @p72 @p63 @p61 @p60 @p58 @p57 @p56) :args (@t98 (@list true true false false false false false false false false false false true true true true false true false true false) (@list @t124 @t125 @t132 @t130 @t126 @t127 @t120 @t122 @t115 @t117 @t109 @t111 @t104 @t105 @t113 @t106 @t107 @t101 @t103 @t96 @t95))) % 0.47/0.64 (step @p122 :rule refl :args (@t133)) % 0.47/0.64 (step @p123 :rule bool-double-not-elim :args (@t93)) % 0.47/0.64 (step @p124 :rule nary_cong :premises (@p123 @p122) :args ((or (not @t134) @t133))) % 0.47/0.64 (assume-push @p283 @t134) % 0.47/0.64 (step @p126 :rule skolemize :premises (@p283)) % 0.47/0.64 (step-pop @p284 :rule scope :premises (@p126)) % 0.47/0.64 (step @p127 :rule process_scope :premises (@p284) :args (@t133)) % 0.47/0.64 (step @p129 :rule implies_elim :premises (@p127)) % 0.47/0.64 (step @p130 :rule eq_resolve :premises (@p129 @p124)) % 0.47/0.64 (step @p131 :rule chain_m_resolution :premises (@p130 @p121) :args (@t93 @t135 (@list @t98))) % 0.47/0.64 (step @p132 :rule cnf_equiv_pos2 :args (@t137)) % 0.47/0.64 (step @p133 :rule reordering :premises (@p132) :args ((or @t136 @t134 (not @t137)))) % 0.47/0.64 (step @p134 :rule chain_m_resolution :premises (@p133 @p131 @p50) :args (@t136 @t138 (@list @t93 @t137))) % 0.47/0.64 (step @p135 :rule instantiate :premises (@p2) :args (@t92)) % 0.47/0.64 (step @p136 :rule aci_norm :args ((= (or @t139 @t64) @t72))) % 0.47/0.64 (step @p137 :rule refl :args (@t64)) % 0.47/0.64 (step @p138 :rule aci_norm :args ((= (or @t71 (or @t70 @t69)) @t139))) % 0.47/0.64 (step @p139 :rule bool-and-de-morgan :args (@t12 @t65 true)) % 0.47/0.64 (step @p140 :rule refl :args (@t71)) % 0.47/0.64 (step @p141 :rule nary_cong :premises (@p140 @p139) :args ((or @t71 (not (and @t12 @t65))))) % 0.47/0.64 (step @p142 :rule bool-and-de-morgan :args (@t33 @t12 (and @t65))) % 0.47/0.64 (step @p143 :rule trans :premises (@p142 @p141)) % 0.47/0.64 (step @p144 :rule trans :premises (@p143 @p138)) % 0.47/0.64 (step @p145 :rule nary_cong :premises (@p144 @p137) :args ((or (not @t66) @t64))) % 0.47/0.64 (step @p146 :rule trans :premises (@p145 @p136)) % 0.47/0.64 (step @p147 :rule bool-impl-elim :args (@t66 @t64)) % 0.47/0.64 (step @p148 :rule trans :premises (@p147 @p146)) % 0.47/0.64 (step @p149 :rule cong :premises (@p148) :args (@t67)) % 0.47/0.64 (step @p150 :rule cong :premises (@p149) :args (@t68)) % 0.47/0.64 (step @p151 :rule eq_resolve :premises (@p29 @p150)) % 0.47/0.64 (step @p152 :rule skolemize :premises (@p151)) % 0.47/0.64 (step @p153 :rule cnf_or_neg :args (@t142 3)) % 0.47/0.64 (step @p154 :rule chain_m_resolution :premises (@p153 @p152) :args ((not @t140) @t143 (@list @t142))) % 0.47/0.64 (step @p155 :rule cnf_equiv_pos2 :args (@t146)) % 0.47/0.64 (step @p156 :rule reordering :premises (@p155) :args ((or @t140 @t147 (not @t146)))) % 0.47/0.64 (step @p157 :rule chain_m_resolution :premises (@p156 @p154 @p135) :args (@t147 @t148 (@list @t140 @t146))) % 0.47/0.64 (step @p158 :rule cnf_and_neg :args (@t145)) % 0.47/0.64 (step @p159 :rule chain_m_resolution :premises (@p158 @p157 @p134) :args ((not @t144) @t148 (@list @t145 @t136))) % 0.47/0.64 (step @p160 :rule cnf_equiv_pos2 :args (@t149)) % 0.47/0.64 (step @p161 :rule reordering :premises (@p160) :args ((or @t144 @t150 (not @t149)))) % 0.47/0.64 (step @p162 :rule chain_m_resolution :premises (@p161 @p159 @p49) :args (@t150 @t148 (@list @t144 @t149))) % 0.47/0.64 (step @p163 :rule refl :args (@t155)) % 0.47/0.64 (step @p164 :rule bool-double-not-elim :args (@t84)) % 0.47/0.64 (step @p165 :rule nary_cong :premises (@p164 @p163) :args ((or (not @t150) @t155))) % 0.47/0.64 (assume-push @p285 @t150) % 0.47/0.64 (step @p167 :rule skolemize :premises (@p285)) % 0.47/0.64 (step-pop @p286 :rule scope :premises (@p167)) % 0.47/0.64 (step @p168 :rule process_scope :premises (@p286) :args (@t155)) % 0.47/0.64 (step @p170 :rule implies_elim :premises (@p168)) % 0.47/0.64 (step @p171 :rule eq_resolve :premises (@p170 @p165)) % 0.47/0.64 (step @p172 :rule chain_m_resolution :premises (@p171 @p162) :args (@t155 @t143 (@list @t84))) % 0.47/0.64 (step @p173 :rule bool-double-not-elim :args (@t152)) % 0.47/0.64 (step @p174 :rule refl :args (@t154)) % 0.47/0.64 (step @p175 :rule nary_cong :premises (@p174 @p173) :args ((or @t154 (not @t153)))) % 0.47/0.64 (step @p176 :rule cnf_or_neg :args (@t154 0)) % 0.47/0.64 (step @p177 :rule eq_resolve :premises (@p176 @p175)) % 0.47/0.64 (step @p178 :rule reordering :premises (@p177) :args ((or @t152 @t154))) % 0.47/0.64 (step @p179 :rule chain_m_resolution :premises (@p178 @p172) :args (@t152 @t143 @t156)) % 0.47/0.64 (step @p180 :rule cnf_equiv_pos1 :args (@t160)) % 0.47/0.64 (step @p181 :rule reordering :premises (@p180) :args ((or @t153 @t159 (not @t160)))) % 0.47/0.64 (step @p182 :rule chain_m_resolution :premises (@p181 @p179 @p42) :args (@t159 @t138 (@list @t152 @t160))) % 0.47/0.64 (step @p183 :rule instantiate :premises (@p40) :args ((@list @t77 @t74 @t85))) % 0.47/0.64 (step @p184 :rule bool-double-not-elim :args (@t163)) % 0.47/0.64 (step @p185 :rule refl :args (@t167)) % 0.47/0.64 (step @p186 :rule nary_cong :premises (@p185 @p184) :args ((or @t167 (not @t166)))) % 0.47/0.64 (step @p187 :rule cnf_or_neg :args (@t167 0)) % 0.47/0.64 (step @p188 :rule eq_resolve :premises (@p187 @p186)) % 0.47/0.64 (step @p189 :rule reordering :premises (@p188) :args ((or @t163 @t167))) % 0.47/0.64 (step @p190 :rule bool-double-not-elim :args (@t164)) % 0.47/0.64 (step @p191 :rule nary_cong :premises (@p185 @p190) :args ((or @t167 (not @t165)))) % 0.47/0.64 (step @p192 :rule cnf_or_neg :args (@t167 1)) % 0.47/0.64 (step @p193 :rule eq_resolve :premises (@p192 @p191)) % 0.47/0.64 (step @p194 :rule reordering :premises (@p193) :args ((or @t164 @t167))) % 0.47/0.64 (step @p195 :rule cnf_or_neg :args (@t168 1)) % 0.47/0.64 (step @p196 :rule reordering :premises (@p195) :args ((or @t166 @t168))) % 0.47/0.64 (step @p197 :rule instantiate :premises (@p40) :args ((@list @t77 @t76 @t85))) % 0.47/0.64 (step @p198 :rule cnf_or_neg :args (@t154 1)) % 0.47/0.64 (step @p199 :rule chain_m_resolution :premises (@p198 @p172) :args ((not @t151) @t143 @t156)) % 0.47/0.64 (step @p200 :rule bool-double-not-elim :args (@t169)) % 0.47/0.64 (step @p201 :rule refl :args (@t151)) % 0.47/0.64 (step @p202 :rule refl :args (@t172)) % 0.47/0.64 (step @p203 :rule nary_cong :premises (@p202 @p201 @p200) :args ((or @t172 @t151 (not @t170)))) % 0.47/0.64 (step @p204 :rule cnf_equiv_pos2 :args (@t171)) % 0.47/0.64 (step @p205 :rule eq_resolve :premises (@p204 @p203)) % 0.47/0.64 (step @p206 :rule reordering :premises (@p205) :args ((or @t151 @t169 @t172))) % 0.47/0.64 (step @p207 :rule chain_m_resolution :premises (@p206 @p199 @p197) :args (@t169 @t148 (@list @t151 @t171))) % 0.47/0.64 (assume-push @p287 @t169) % 0.47/0.64 (step @p209 :rule instantiate :premises (@p287) :args ((@list @t162))) % 0.47/0.64 (step-pop @p288 :rule scope :premises (@p209)) % 0.47/0.64 (step @p210 :rule process_scope :premises (@p288) :args (@t175)) % 0.47/0.64 (step @p212 :rule implies_elim :premises (@p210)) % 0.47/0.64 (step @p213 :rule chain_m_resolution :premises (@p212 @p207) :args (@t175 @t135 @t176)) % 0.47/0.64 (step @p214 :rule cnf_or_pos :args (@t175)) % 0.47/0.64 (step @p215 :rule reordering :premises (@p214) :args ((or @t165 @t174 (not @t175)))) % 0.47/0.64 (step @p216 :rule instantiate :premises (@p5) :args ((@list @t162 @t75 @t74))) % 0.47/0.64 (step @p217 :rule cnf_equiv_pos2 :args (@t177)) % 0.47/0.64 (step @p218 :rule reordering :premises (@p217) :args ((or @t173 (not @t168) (not @t177)))) % 0.47/0.64 (step @p219 :rule chain_m_resolution :premises (@p218 @p216 @p215 @p213 @p196 @p194 @p189) :args (@t167 (@list false true false false false false) (@list @t177 @t173 @t175 @t168 @t164 @t163))) % 0.47/0.64 (step @p220 :rule refl :args (@t178)) % 0.47/0.64 (step @p221 :rule bool-double-not-elim :args (@t161)) % 0.47/0.64 (step @p222 :rule nary_cong :premises (@p221 @p220) :args ((or (not @t179) @t178))) % 0.47/0.64 (assume-push @p289 @t179) % 0.47/0.64 (step @p224 :rule skolemize :premises (@p289)) % 0.47/0.64 (step-pop @p290 :rule scope :premises (@p224)) % 0.47/0.64 (step @p225 :rule process_scope :premises (@p290) :args (@t178)) % 0.47/0.64 (step @p227 :rule implies_elim :premises (@p225)) % 0.47/0.64 (step @p228 :rule eq_resolve :premises (@p227 @p222)) % 0.47/0.64 (step @p229 :rule chain_m_resolution :premises (@p228 @p219) :args (@t161 @t135 (@list @t167))) % 0.47/0.64 (step @p230 :rule cnf_equiv_pos1 :args (@t180)) % 0.47/0.64 (step @p231 :rule reordering :premises (@p230) :args ((or @t181 @t179 (not @t180)))) % 0.47/0.64 (step @p232 :rule chain_m_resolution :premises (@p231 @p229 @p183) :args (@t181 @t138 (@list @t161 @t180))) % 0.47/0.64 (step @p233 :rule cnf_or_pos :args (@t159)) % 0.47/0.64 (step @p234 :rule reordering :premises (@p233) :args ((or @t158 @t157 (not @t159)))) % 0.47/0.64 (step @p235 :rule chain_m_resolution :premises (@p234 @p232 @p182) :args (@t158 @t148 (@list @t157 @t159))) % 0.47/0.64 (step @p236 :rule cnf_equiv_pos1 :args (@t183)) % 0.47/0.64 (step @p237 :rule reordering :premises (@p236) :args ((or (not @t158) @t182 (not @t183)))) % 0.47/0.64 (step @p238 :rule chain_m_resolution :premises (@p237 @p235 @p41) :args (@t182 @t138 (@list @t158 @t183))) % 0.47/0.64 (step @p239 :rule refl :args (@t189)) % 0.47/0.64 (step @p240 :rule bool-double-not-elim :args (@t88)) % 0.47/0.64 (step @p241 :rule nary_cong :premises (@p240 @p239) :args ((or (not @t182) @t189))) % 0.47/0.64 (assume-push @p291 @t182) % 0.47/0.64 (step @p243 :rule skolemize :premises (@p291)) % 0.47/0.64 (step-pop @p292 :rule scope :premises (@p243)) % 0.47/0.64 (step @p244 :rule process_scope :premises (@p292) :args (@t189)) % 0.47/0.64 (step @p246 :rule implies_elim :premises (@p244)) % 0.47/0.64 (step @p247 :rule eq_resolve :premises (@p246 @p241)) % 0.47/0.64 (step @p248 :rule chain_m_resolution :premises (@p247 @p238) :args (@t189 @t143 (@list @t88))) % 0.47/0.64 (step @p249 :rule bool-double-not-elim :args (@t186)) % 0.47/0.64 (step @p250 :rule refl :args (@t188)) % 0.47/0.64 (step @p251 :rule nary_cong :premises (@p250 @p249) :args ((or @t188 (not @t187)))) % 0.47/0.64 (step @p252 :rule cnf_or_neg :args (@t188 0)) % 0.47/0.64 (step @p253 :rule eq_resolve :premises (@p252 @p251)) % 0.47/0.64 (step @p254 :rule reordering :premises (@p253) :args ((or @t186 @t188))) % 0.47/0.64 (step @p255 :rule chain_m_resolution :premises (@p254 @p248) :args (@t186 @t143 @t190)) % 0.47/0.64 (step @p256 :rule cnf_or_neg :args (@t191 0)) % 0.47/0.64 (step @p257 :rule reordering :premises (@p256) :args ((or @t187 @t191))) % 0.47/0.64 (step @p258 :rule chain_m_resolution :premises (@p257 @p255) :args (@t191 @t135 (@list @t186))) % 0.47/0.64 (assume-push @p293 @t169) % 0.47/0.64 (step @p260 :rule instantiate :premises (@p293) :args ((@list @t89))) % 0.47/0.64 (step-pop @p294 :rule scope :premises (@p260)) % 0.47/0.64 (step @p261 :rule process_scope :premises (@p294) :args (@t194)) % 0.47/0.64 (step @p263 :rule implies_elim :premises (@p261)) % 0.47/0.64 (step @p264 :rule chain_m_resolution :premises (@p263 @p207) :args (@t194 @t135 @t176)) % 0.47/0.64 (step @p265 :rule bool-double-not-elim :args (@t184)) % 0.47/0.64 (step @p266 :rule nary_cong :premises (@p250 @p265) :args ((or @t188 (not @t185)))) % 0.47/0.64 (step @p267 :rule cnf_or_neg :args (@t188 1)) % 0.47/0.64 (step @p268 :rule eq_resolve :premises (@p267 @p266)) % 0.47/0.64 (step @p269 :rule reordering :premises (@p268) :args ((or @t184 @t188))) % 0.47/0.64 (step @p270 :rule chain_m_resolution :premises (@p269 @p248) :args (@t184 @t143 @t190)) % 0.47/0.64 (step @p271 :rule cnf_or_pos :args (@t194)) % 0.47/0.64 (step @p272 :rule reordering :premises (@p271) :args ((or @t185 @t193 (not @t194)))) % 0.47/0.64 (step @p273 :rule chain_m_resolution :premises (@p272 @p270 @p264) :args (@t193 @t138 (@list @t184 @t194))) % 0.47/0.64 (step @p274 :rule cnf_equiv_pos2 :args (@t195)) % 0.47/0.64 (step @p275 :rule reordering :premises (@p274) :args ((or @t192 (not @t191) (not @t195)))) % 0.47/0.64 (step @p276 false :rule chain_m_resolution :premises (@p275 @p273 @p258 @p31) :args (false (@list true false false) (@list @t192 @t191 @t195))) % 0.47/0.64 ) % 0.47/0.64 % SZS output end Proof % 0.47/0.64 % cvc5 exiting %------------------------------------------------------------------------------