%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET769+4 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n007.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 08:48:36 AM UTC 2026 % Result : Theorem 0.35s 0.61s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET769+4 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n007.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 16:10:41 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.61 % SZS status Theorem % 0.35/0.61 % SZS output start Proof % 0.35/0.61 ( % 0.35/0.61 (declare-sort $$unsorted 0) % 0.35/0.61 (declare-const tptp.pre_order (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.equivalence (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.equivalence_class (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.empty_set $$unsorted) % 0.35/0.61 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.partition (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.35/0.61 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.61 (define @t1 () (@var "B" $$unsorted)) % 0.35/0.61 (define @t2 () (@var "X" $$unsorted)) % 0.35/0.61 (define @t3 () (tptp.member @t2 @t1)) % 0.35/0.61 (define @t4 () (@var "A" $$unsorted)) % 0.35/0.61 (define @t5 () (tptp.member @t2 @t4)) % 0.35/0.61 (define @t6 () (@list @t2)) % 0.35/0.61 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.35/0.61 (define @t8 () (tptp.subset @t4 @t1)) % 0.35/0.61 (define @t9 () (= @t8 @t7)) % 0.35/0.61 (define @t10 () (@list @t4 @t1)) % 0.35/0.61 (define @t11 () (forall @t10 @t9)) % 0.35/0.61 (define @t12 () (@list @t2 @t4)) % 0.35/0.61 (define @t13 () (and @t5 @t3)) % 0.35/0.61 (define @t14 () (@list @t2 @t4 @t1)) % 0.35/0.61 (define @t15 () (@var "E" $$unsorted)) % 0.35/0.61 (define @t16 () (tptp.member @t1 @t15)) % 0.35/0.61 (define @t17 () (= @t2 @t4)) % 0.35/0.61 (define @t18 () (@var "Y" $$unsorted)) % 0.35/0.61 (define @t19 () (tptp.member @t2 @t18)) % 0.35/0.61 (define @t20 () (tptp.member @t18 @t4)) % 0.35/0.61 (define @t21 () (@list @t18)) % 0.35/0.61 (define @t22 () (exists @t21 (and @t20 @t19))) % 0.35/0.61 (define @t23 () (exists @t6 @t13)) % 0.35/0.61 (define @t24 () (not @t23)) % 0.35/0.61 (define @t25 () (tptp.disjoint @t4 @t1)) % 0.35/0.61 (define @t26 () (= @t25 @t24)) % 0.35/0.61 (define @t27 () (forall @t10 @t26)) % 0.35/0.61 (define @t28 () (@var "Z" $$unsorted)) % 0.35/0.61 (define @t29 () (and @t5 @t20)) % 0.35/0.61 (define @t30 () (@list @t2 @t18)) % 0.35/0.61 (define @t31 () (tptp.member @t2 @t15)) % 0.35/0.61 (define @t32 () (@var "R" $$unsorted)) % 0.35/0.61 (define @t33 () (tptp.apply @t32 @t2 @t28)) % 0.35/0.61 (define @t34 () (tptp.apply @t32 @t18 @t28)) % 0.35/0.61 (define @t35 () (tptp.apply @t32 @t2 @t18)) % 0.35/0.61 (define @t36 () (and @t35 @t34)) % 0.35/0.61 (define @t37 () (=> @t36 @t33)) % 0.35/0.61 (define @t38 () (tptp.member @t28 @t4)) % 0.35/0.61 (define @t39 () (and @t5 @t20 @t38)) % 0.35/0.61 (define @t40 () (@list @t2 @t18 @t28)) % 0.35/0.61 (define @t41 () (forall @t40 (=> @t39 @t37))) % 0.35/0.61 (define @t42 () (tptp.apply @t32 @t18 @t2)) % 0.35/0.61 (define @t43 () (=> @t35 @t42)) % 0.35/0.61 (define @t44 () (forall @t30 (=> @t29 @t43))) % 0.35/0.61 (define @t45 () (tptp.apply @t32 @t2 @t2)) % 0.35/0.61 (define @t46 () (forall @t6 (=> @t5 @t45))) % 0.35/0.61 (define @t47 () (and @t46 @t44 @t41)) % 0.35/0.61 (define @t48 () (tptp.equivalence @t32 @t4)) % 0.35/0.61 (define @t49 () (= @t48 @t47)) % 0.35/0.61 (define @t50 () (forall (@list @t4 @t32) @t49)) % 0.35/0.61 (define @t51 () (tptp.equivalence_class @t4 @t15 @t32)) % 0.35/0.61 (define @t52 () (tptp.equivalence_class @t1 @t15 @t32)) % 0.35/0.61 (define @t53 () (= (tptp.equal_set @t51 @t52) (not (tptp.disjoint @t51 @t52)))) % 0.35/0.61 (define @t54 () (tptp.member @t4 @t15)) % 0.35/0.61 (define @t55 () (tptp.equivalence @t32 @t15)) % 0.35/0.61 (define @t56 () (and @t55 @t54 @t16)) % 0.35/0.61 (define @t57 () (@list @t15 @t32 @t4 @t1)) % 0.35/0.61 (define @t58 () (forall @t57 (=> @t56 @t53))) % 0.35/0.61 (define @t59 () (not @t58)) % 0.35/0.61 (define @t60 () (not @t16)) % 0.35/0.61 (define @t61 () (not @t54)) % 0.35/0.61 (define @t62 () (not @t55)) % 0.35/0.61 (define @t63 () (or @t62 @t61 @t60 @t53)) % 0.35/0.61 (define @t64 () (or @t62 @t61 @t60)) % 0.35/0.61 (define @t65 () (forall @t57 @t63)) % 0.35/0.61 (define @t66 () (@quantifiers_skolemize @t65 0)) % 0.35/0.61 (define @t67 () (@quantifiers_skolemize @t65 2)) % 0.35/0.61 (define @t68 () (tptp.member @t67 @t66)) % 0.35/0.61 (define @t69 () (@quantifiers_skolemize @t65 1)) % 0.35/0.61 (define @t70 () (@quantifiers_skolemize @t65 3)) % 0.35/0.61 (define @t71 () (tptp.equivalence_class @t70 @t66 @t69)) % 0.35/0.61 (define @t72 () (tptp.equivalence_class @t67 @t66 @t69)) % 0.35/0.61 (define @t73 () (tptp.disjoint @t72 @t71)) % 0.35/0.61 (define @t74 () (not @t73)) % 0.35/0.61 (define @t75 () (tptp.equal_set @t72 @t71)) % 0.35/0.61 (define @t76 () (= @t75 @t74)) % 0.35/0.61 (define @t77 () (tptp.member @t70 @t66)) % 0.35/0.61 (define @t78 () (not @t77)) % 0.35/0.61 (define @t79 () (not @t68)) % 0.35/0.61 (define @t80 () (tptp.equivalence @t69 @t66)) % 0.35/0.61 (define @t81 () (not @t80)) % 0.35/0.61 (define @t82 () (or @t81 @t79 @t78 @t76)) % 0.35/0.61 (define @t83 () (@list true)) % 0.35/0.61 (define @t84 () (@list @t82)) % 0.35/0.61 (define @t85 () (tptp.apply @t69 @t67 @t70)) % 0.35/0.61 (define @t86 () (and @t77 @t85)) % 0.35/0.61 (define @t87 () (tptp.member @t70 @t72)) % 0.35/0.61 (define @t88 () (= @t87 @t86)) % 0.35/0.61 (define @t89 () (not @t34)) % 0.35/0.61 (define @t90 () (not @t35)) % 0.35/0.61 (define @t91 () (not @t38)) % 0.35/0.61 (define @t92 () (not @t20)) % 0.35/0.61 (define @t93 () (not @t5)) % 0.35/0.61 (define @t94 () (or @t90 @t89 @t33)) % 0.35/0.61 (define @t95 () (or @t93 @t92 @t91)) % 0.35/0.61 (define @t96 () (not (tptp.apply @t69 @t2 @t18))) % 0.35/0.61 (define @t97 () (not (tptp.member @t18 @t66))) % 0.35/0.61 (define @t98 () (not (tptp.member @t2 @t66))) % 0.35/0.61 (define @t99 () (forall @t40 (or @t98 @t97 (not (tptp.member @t28 @t66)) @t96 (not (tptp.apply @t69 @t18 @t28)) (tptp.apply @t69 @t2 @t28)))) % 0.35/0.61 (define @t100 () (forall @t30 (or @t98 @t97 @t96 (tptp.apply @t69 @t18 @t2)))) % 0.35/0.61 (define @t101 () (forall @t6 (or @t98 (tptp.apply @t69 @t2 @t2)))) % 0.35/0.61 (define @t102 () (and @t101 @t100 @t99)) % 0.35/0.61 (define @t103 () (= @t80 @t102)) % 0.35/0.61 (define @t104 () (@list false false)) % 0.35/0.61 (define @t105 () (not @t102)) % 0.35/0.61 (define @t106 () (@list false)) % 0.35/0.61 (define @t107 () (@list @t102)) % 0.35/0.61 (define @t108 () (@list @t70)) % 0.35/0.61 (define @t109 () (tptp.apply @t69 @t70 @t70)) % 0.35/0.61 (define @t110 () (or @t78 @t109)) % 0.35/0.61 (define @t111 () (and @t77 @t109)) % 0.35/0.61 (define @t112 () (tptp.member @t70 @t71)) % 0.35/0.61 (define @t113 () (= @t112 @t111)) % 0.35/0.61 (define @t114 () (not @t112)) % 0.35/0.61 (define @t115 () (or @t114 @t87)) % 0.35/0.61 (define @t116 () (tptp.member @t2 @t72)) % 0.35/0.61 (define @t117 () (tptp.member @t2 @t71)) % 0.35/0.61 (define @t118 () (not @t117)) % 0.35/0.61 (define @t119 () (forall @t6 (or @t118 @t116))) % 0.35/0.61 (define @t120 () (tptp.subset @t71 @t72)) % 0.35/0.61 (define @t121 () (= @t120 @t119)) % 0.35/0.61 (define @t122 () (not @t121)) % 0.35/0.61 (define @t123 () (not @t120)) % 0.35/0.61 (define @t124 () (tptp.subset @t72 @t71)) % 0.35/0.61 (define @t125 () (and @t124 @t120)) % 0.35/0.61 (define @t126 () (not @t125)) % 0.35/0.61 (define @t127 () (@list @t72 @t71)) % 0.35/0.61 (define @t128 () (= @t75 @t125)) % 0.35/0.61 (define @t129 () (not @t128)) % 0.35/0.61 (define @t130 () (not @t75)) % 0.35/0.61 (define @t131 () (forall @t6 (not @t13))) % 0.35/0.61 (define @t132 () (not @t131)) % 0.35/0.61 (define @t133 () (not @t116)) % 0.35/0.61 (define @t134 () (forall @t6 (or @t133 @t118))) % 0.35/0.61 (define @t135 () (= @t73 @t134)) % 0.35/0.61 (define @t136 () (not @t135)) % 0.35/0.61 (define @t137 () (not @t134)) % 0.35/0.61 (define @t138 () (@quantifiers_skolemize @t134 0)) % 0.35/0.61 (define @t139 () (tptp.member @t138 @t71)) % 0.35/0.61 (define @t140 () (not @t139)) % 0.35/0.61 (define @t141 () (tptp.member @t138 @t72)) % 0.35/0.61 (define @t142 () (not @t141)) % 0.35/0.61 (define @t143 () (or @t142 @t140)) % 0.35/0.61 (define @t144 () (not @t143)) % 0.35/0.61 (define @t145 () (tptp.apply @t69 @t67 @t138)) % 0.35/0.61 (define @t146 () (tptp.member @t138 @t66)) % 0.35/0.61 (define @t147 () (and @t146 @t145)) % 0.35/0.61 (define @t148 () (= @t141 @t147)) % 0.35/0.61 (define @t149 () (tptp.apply @t69 @t70 @t138)) % 0.35/0.61 (define @t150 () (and @t146 @t149)) % 0.35/0.61 (define @t151 () (= @t139 @t150)) % 0.35/0.61 (define @t152 () (not @t147)) % 0.35/0.61 (define @t153 () (tptp.apply @t69 @t138 @t70)) % 0.35/0.61 (define @t154 () (not @t153)) % 0.35/0.61 (define @t155 () (not @t145)) % 0.35/0.61 (define @t156 () (not @t146)) % 0.35/0.61 (define @t157 () (or @t79 @t156 @t78 @t155 @t154 @t85)) % 0.35/0.61 (define @t158 () (not @t149)) % 0.35/0.61 (define @t159 () (or @t78 @t156 @t158 @t153)) % 0.35/0.61 (define @t160 () (@quantifiers_skolemize @t119 0)) % 0.35/0.61 (define @t161 () (forall @t6 (or @t133 @t117))) % 0.35/0.61 (define @t162 () (@quantifiers_skolemize @t161 0)) % 0.35/0.61 (define @t163 () (tptp.member @t162 @t72)) % 0.35/0.61 (define @t164 () (tptp.member @t162 @t71)) % 0.35/0.61 (define @t165 () (not @t163)) % 0.35/0.61 (define @t166 () (or @t165 @t164)) % 0.35/0.61 (define @t167 () (tptp.apply @t69 @t67 @t162)) % 0.35/0.61 (define @t168 () (tptp.member @t162 @t66)) % 0.35/0.61 (define @t169 () (and @t168 @t167)) % 0.35/0.61 (define @t170 () (= @t163 @t169)) % 0.35/0.61 (define @t171 () (tptp.apply @t69 @t70 @t162)) % 0.35/0.61 (define @t172 () (and @t168 @t171)) % 0.35/0.61 (define @t173 () (= @t164 @t172)) % 0.35/0.61 (define @t174 () (not @t169)) % 0.35/0.61 (define @t175 () (tptp.apply @t69 @t162 @t67)) % 0.35/0.61 (define @t176 () (not @t167)) % 0.35/0.61 (define @t177 () (not @t168)) % 0.35/0.61 (define @t178 () (or @t79 @t177 @t176 @t175)) % 0.35/0.61 (define @t179 () (tptp.apply @t69 @t162 @t70)) % 0.35/0.61 (define @t180 () (not @t179)) % 0.35/0.61 (define @t181 () (or @t177 @t78 @t180 @t171)) % 0.35/0.61 (define @t182 () (not @t85)) % 0.35/0.61 (define @t183 () (not @t175)) % 0.35/0.61 (define @t184 () (or @t177 @t79 @t78 @t183 @t182 @t179)) % 0.35/0.61 (define @t185 () (not @t166)) % 0.35/0.61 (define @t186 () (not @t161)) % 0.35/0.61 (define @t187 () (= @t124 @t161)) % 0.35/0.61 (define @t188 () (tptp.apply @t69 @t70 @t67)) % 0.35/0.61 (define @t189 () (or @t79 @t78 @t182 @t188)) % 0.35/0.61 (define @t190 () (and @t68 @t188)) % 0.35/0.61 (define @t191 () (tptp.member @t67 @t71)) % 0.35/0.61 (define @t192 () (= @t191 @t190)) % 0.35/0.61 (define @t193 () (@list @t67)) % 0.35/0.61 (define @t194 () (tptp.apply @t69 @t67 @t67)) % 0.35/0.61 (define @t195 () (or @t79 @t194)) % 0.35/0.61 (define @t196 () (and @t68 @t194)) % 0.35/0.61 (define @t197 () (tptp.member @t67 @t72)) % 0.35/0.61 (define @t198 () (= @t197 @t196)) % 0.35/0.61 (define @t199 () (not @t191)) % 0.35/0.61 (define @t200 () (not @t197)) % 0.35/0.61 (define @t201 () (or @t200 @t199)) % 0.35/0.61 (define @t202 () (not @t201)) % 0.35/0.61 (define @t203 () (@list true false)) % 0.35/0.61 (define @t204 () (not @t119)) % 0.35/0.61 (define @t205 () (tptp.member @t160 @t72)) % 0.35/0.61 (define @t206 () (tptp.member @t160 @t71)) % 0.35/0.61 (define @t207 () (not @t206)) % 0.35/0.61 (define @t208 () (or @t207 @t205)) % 0.35/0.61 (define @t209 () (not @t208)) % 0.35/0.61 (define @t210 () (@list @t208)) % 0.35/0.61 (define @t211 () (tptp.apply @t69 @t70 @t160)) % 0.35/0.61 (define @t212 () (tptp.member @t160 @t66)) % 0.35/0.61 (define @t213 () (and @t212 @t211)) % 0.35/0.61 (define @t214 () (= @t206 @t213)) % 0.35/0.61 (define @t215 () (not @t213)) % 0.35/0.61 (define @t216 () (@list @t213)) % 0.35/0.61 (define @t217 () (tptp.apply @t69 @t67 @t160)) % 0.35/0.61 (define @t218 () (and @t212 @t217)) % 0.35/0.61 (define @t219 () (= @t205 @t218)) % 0.35/0.61 (define @t220 () (not @t218)) % 0.35/0.61 (define @t221 () (not @t211)) % 0.35/0.61 (define @t222 () (not @t212)) % 0.35/0.61 (define @t223 () (or @t79 @t78 @t222 @t182 @t221 @t217)) % 0.35/0.61 (assume @p1 @t11) % 0.35/0.61 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.35/0.61 (assume @p3 (forall @t12 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.35/0.61 (assume @p4 (forall @t14 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) @t13))) % 0.35/0.61 (assume @p5 (forall @t14 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.35/0.61 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.35/0.61 (assume @p7 (forall (@list @t1 @t4 @t15) (= (tptp.member @t1 (tptp.difference @t15 @t4)) (and @t16 (not (tptp.member @t1 @t4)))))) % 0.35/0.61 (assume @p8 (forall @t12 (= (tptp.member @t2 (tptp.singleton @t4)) @t17))) % 0.35/0.61 (assume @p9 (forall @t14 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t17 (= @t2 @t1))))) % 0.35/0.61 (assume @p10 (forall @t12 (= (tptp.member @t2 (tptp.sum @t4)) @t22))) % 0.35/0.61 (assume @p11 (forall @t12 (= (tptp.member @t2 (tptp.product @t4)) (forall @t21 (=> @t20 @t19))))) % 0.35/0.61 (assume @p12 @t27) % 0.35/0.61 (assume @p13 (forall (@list @t4 @t15) (= (tptp.partition @t4 @t15) (and (forall @t6 (=> @t5 (tptp.subset @t2 @t15))) (forall @t6 (=> @t31 @t22)) (forall @t30 (=> @t29 (=> (exists (@list @t28) (and (tptp.member @t28 @t2) (tptp.member @t28 @t18))) (= @t2 @t18)))))))) % 0.35/0.61 (assume @p14 @t50) % 0.35/0.61 (assume @p15 (forall (@list @t32 @t15 @t4 @t2) (= (tptp.member @t2 @t51) (and @t31 (tptp.apply @t32 @t4 @t2))))) % 0.35/0.61 (assume @p16 (forall (@list @t32 @t15) (= (tptp.pre_order @t32 @t15) (and (forall @t6 (=> @t31 @t45)) (forall @t40 (=> (and @t31 (tptp.member @t18 @t15) (tptp.member @t28 @t15)) @t37)))))) % 0.35/0.61 (assume @p17 @t59) % 0.35/0.61 (assume @p18 true) % 0.35/0.61 (step @p19 :rule aci_norm :args ((= (or @t64 @t53) @t63))) % 0.35/0.61 (step @p20 :rule refl :args (@t53)) % 0.35/0.61 (step @p21 :rule aci_norm :args ((= (or @t62 (or @t61 @t60)) @t64))) % 0.35/0.61 (step @p22 :rule bool-and-de-morgan :args (@t54 @t16 true)) % 0.35/0.61 (step @p23 :rule refl :args (@t62)) % 0.35/0.61 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or @t62 (not (and @t54 @t16))))) % 0.35/0.61 (step @p25 :rule bool-and-de-morgan :args (@t55 @t54 (and @t16))) % 0.35/0.61 (step @p26 :rule trans :premises (@p25 @p24)) % 0.35/0.61 (step @p27 :rule trans :premises (@p26 @p21)) % 0.35/0.61 (step @p28 :rule nary_cong :premises (@p27 @p20) :args ((or (not @t56) @t53))) % 0.35/0.61 (step @p29 :rule trans :premises (@p28 @p19)) % 0.35/0.61 (step @p30 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((@list @t69 @t66 @t70 @t160))) % 0.35/0.61 (step @p199 :rule instantiate :premises (@p125) :args (@t127)) % 0.35/0.61 (step @p200 :rule bool-double-not-elim :args (@t163)) % 0.35/0.61 (step @p201 :rule refl :args (@t166)) % 0.35/0.61 (step @p202 :rule nary_cong :premises (@p201 @p200) :args ((or @t166 (not @t165)))) % 0.35/0.61 (step @p203 :rule cnf_or_neg :args (@t166 0)) % 0.35/0.61 (step @p204 :rule eq_resolve :premises (@p203 @p202)) % 0.35/0.61 (step @p205 :rule reordering :premises (@p204) :args ((or @t163 @t166))) % 0.35/0.61 (step @p206 :rule cnf_or_neg :args (@t166 1)) % 0.35/0.61 (step @p207 :rule instantiate :premises (@p15) :args ((@list @t69 @t66 @t67 @t162))) % 0.35/0.61 (step @p208 :rule cnf_equiv_pos1 :args (@t170)) % 0.35/0.61 (step @p209 :rule reordering :premises (@p208) :args ((or @t165 @t169 (not @t170)))) % 0.35/0.61 (step @p210 :rule instantiate :premises (@p15) :args ((@list @t69 @t66 @t70 @t162))) % 0.35/0.61 (step @p211 :rule cnf_equiv_pos2 :args (@t173)) % 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:premises (@p187) :args ((@list @t162 @t67 @t70))) % 0.35/0.61 (step @p225 :rule cnf_or_pos :args (@t184)) % 0.35/0.61 (step @p226 :rule reordering :premises (@p225) :args ((or @t79 @t78 @t182 @t177 @t179 @t183 (not @t184)))) % 0.35/0.61 (step @p227 :rule chain_m_resolution :premises (@p226 @p224 @p197 @p48 @p42 @p223 @p221 @p48 @p220 @p218 @p42 @p217 @p216 @p214 @p212 @p210 @p209 @p207 @p206 @p205) :args (@t166 (@list false false false false true false false false false false true false false true false false false true false) (@list @t184 @t85 @t77 @t68 @t179 @t181 @t77 @t175 @t178 @t68 @t171 @t167 @t168 @t172 @t173 @t169 @t170 @t164 @t163))) % 0.35/0.61 (step @p228 :rule refl :args (@t185)) % 0.35/0.61 (step @p229 :rule bool-double-not-elim :args (@t161)) % 0.35/0.61 (step @p230 :rule nary_cong :premises (@p229 @p228) :args ((or (not @t186) @t185))) % 0.35/0.61 (assume-push @p333 @t186) % 0.35/0.61 (step @p232 :rule skolemize :premises (@p333)) % 0.35/0.61 (step-pop @p334 :rule scope :premises (@p232)) % 0.35/0.61 (step @p233 :rule process_scope :premises (@p334) :args (@t185)) % 0.35/0.61 (step @p235 :rule implies_elim :premises (@p233)) % 0.35/0.61 (step @p236 :rule eq_resolve :premises (@p235 @p230)) % 0.35/0.61 (step @p237 :rule chain_m_resolution :premises (@p236 @p227) :args (@t161 @t106 (@list @t166))) % 0.35/0.61 (step @p238 :rule cnf_equiv_pos2 :args (@t187)) % 0.35/0.61 (step @p239 :rule reordering :premises (@p238) :args ((or @t124 @t186 (not @t187)))) % 0.35/0.61 (step @p240 :rule chain_m_resolution :premises (@p239 @p237 @p199) :args (@t124 @t104 (@list @t161 @t187))) % 0.35/0.61 (step @p241 :rule instantiate :premises (@p15) :args ((@list @t69 @t66 @t70 @t67))) % 0.35/0.61 (step @p242 :rule instantiate :premises (@p193) :args ((@list @t67 @t70))) % 0.35/0.61 (step @p243 :rule cnf_or_pos :args (@t189)) % 0.35/0.61 (step @p244 :rule reordering :premises (@p243) :args ((or @t79 @t78 @t182 @t188 (not @t189)))) % 0.35/0.61 (step @p245 :rule chain_m_resolution :premises (@p244 @p42 @p48 @p197 @p242) :args (@t188 (@list false false false false) (@list @t68 @t77 @t85 @t189))) % 0.35/0.61 (step @p246 :rule cnf_and_neg :args (@t190)) % 0.35/0.61 (step @p247 :rule reordering :premises (@p246) :args ((or @t79 (not @t188) @t190))) % 0.35/0.61 (step @p248 :rule chain_m_resolution :premises (@p247 @p42 @p245) :args (@t190 @t104 (@list @t68 @t188))) % 0.35/0.61 (step @p249 :rule cnf_equiv_pos2 :args (@t192)) % 0.35/0.61 (step @p250 :rule reordering :premises (@p249) :args ((or @t191 (not @t190) (not @t192)))) % 0.35/0.61 (step @p251 :rule chain_m_resolution :premises (@p250 @p248 @p241) :args (@t191 @t104 (@list @t190 @t192))) % 0.35/0.61 (step @p252 :rule instantiate :premises (@p15) :args ((@list @t69 @t66 @t67 @t67))) % 0.35/0.61 (step @p253 :rule instantiate :premises (@p102) :args (@t193)) % 0.35/0.61 (step @p254 :rule cnf_or_pos :args (@t195)) % 0.35/0.61 (step @p255 :rule reordering :premises (@p254) :args ((or @t79 @t194 (not @t195)))) % 0.35/0.61 (step @p256 :rule chain_m_resolution :premises (@p255 @p42 @p253) :args (@t194 @t104 (@list @t68 @t195))) % 0.35/0.61 (step @p257 :rule cnf_and_neg :args (@t196)) % 0.35/0.61 (step @p258 :rule reordering :premises (@p257) :args ((or @t79 (not @t194) @t196))) % 0.35/0.61 (step @p259 :rule chain_m_resolution :premises (@p258 @p42 @p256) :args (@t196 @t104 (@list @t68 @t194))) % 0.35/0.61 (step @p260 :rule cnf_equiv_pos2 :args (@t198)) % 0.35/0.61 (step @p261 :rule reordering :premises (@p260) :args ((or @t197 (not @t196) (not @t198)))) % 0.35/0.61 (step @p262 :rule chain_m_resolution :premises (@p261 @p259 @p252) :args (@t197 @t104 (@list @t196 @t198))) % 0.35/0.61 (step @p263 :rule cnf_or_pos :args (@t201)) % 0.35/0.61 (step @p264 :rule reordering :premises (@p263) :args ((or @t200 @t199 @t202))) % 0.35/0.61 (step @p265 :rule chain_m_resolution :premises (@p264 @p262 @p251) :args (@t202 @t104 (@list @t197 @t191))) % 0.35/0.61 (assume-push @p335 @t134) % 0.35/0.61 (step @p267 :rule instantiate :premises (@p335) :args (@t193)) % 0.35/0.61 (step-pop @p336 :rule scope :premises (@p267)) % 0.35/0.61 (step @p268 :rule process_scope :premises (@p336) :args (@t201)) % 0.35/0.61 (step @p270 :rule implies_elim :premises (@p268)) % 0.35/0.61 (step @p271 :rule chain_m_resolution :premises (@p270 @p265) :args (@t137 @t83 (@list @t201))) % 0.35/0.61 (step @p272 :rule cnf_equiv_pos1 :args (@t135)) % 0.35/0.61 (step @p273 :rule reordering :premises (@p272) :args ((or @t74 @t134 @t136))) % 0.35/0.61 (step @p274 :rule chain_m_resolution :premises (@p273 @p271 @p150) :args (@t74 @t203 (@list @t134 @t135))) % 0.35/0.61 (step @p275 :rule bool-double-not-elim :args (@t73)) % 0.35/0.61 (step @p276 :rule refl :args (@t130)) % 0.35/0.61 (step @p277 :rule refl :args (@t76)) % 0.35/0.61 (step @p278 :rule nary_cong :premises (@p277 @p276 @p275) :args ((or @t76 @t130 (not @t74)))) % 0.35/0.61 (step @p279 :rule cnf_equiv_neg2 :args (@t76)) % 0.35/0.61 (step @p280 :rule eq_resolve :premises (@p279 @p278)) % 0.35/0.61 (step @p281 :rule reordering :premises (@p280) :args ((or @t73 @t76 @t130))) % 0.35/0.61 (step @p282 :rule chain_m_resolution :premises (@p281 @p274 @p135) :args (@t130 (@list true true) (@list @t73 @t76))) % 0.35/0.61 (step @p283 :rule cnf_equiv_pos2 :args (@t128)) % 0.35/0.61 (step @p284 :rule reordering :premises (@p283) :args ((or @t75 @t126 @t129))) % 0.35/0.61 (step @p285 :rule chain_m_resolution :premises (@p284 @p282 @p131) :args (@t126 @t203 (@list @t75 @t128))) % 0.35/0.61 (step @p286 :rule cnf_and_neg :args (@t125)) % 0.35/0.61 (step @p287 :rule chain_m_resolution :premises (@p286 @p285 @p240) :args (@t123 @t203 (@list @t125 @t124))) % 0.35/0.61 (step @p288 :rule cnf_equiv_pos2 :args (@t121)) % 0.35/0.61 (step @p289 :rule reordering :premises (@p288) :args ((or @t120 @t204 @t122))) % 0.35/0.61 (step @p290 :rule chain_m_resolution :premises (@p289 @p287 @p126) :args (@t204 @t203 (@list @t120 @t121))) % 0.35/0.61 (step @p291 :rule refl :args (@t209)) % 0.35/0.61 (step @p292 :rule bool-double-not-elim :args (@t119)) % 0.35/0.61 (step @p293 :rule nary_cong :premises (@p292 @p291) :args ((or (not @t204) @t209))) % 0.35/0.61 (assume-push @p337 @t204) % 0.35/0.61 (step @p295 :rule skolemize :premises (@p337)) % 0.35/0.61 (step-pop @p338 :rule scope :premises (@p295)) % 0.35/0.61 (step @p296 :rule process_scope :premises (@p338) :args (@t209)) % 0.35/0.61 (step @p298 :rule implies_elim :premises (@p296)) % 0.35/0.61 (step @p299 :rule eq_resolve :premises (@p298 @p293)) % 0.35/0.61 (step @p300 :rule chain_m_resolution :premises (@p299 @p290) :args (@t209 @t83 (@list @t119))) % 0.35/0.61 (step @p301 :rule bool-double-not-elim :args (@t206)) % 0.35/0.61 (step @p302 :rule refl :args (@t208)) % 0.35/0.61 (step @p303 :rule nary_cong :premises (@p302 @p301) :args ((or @t208 (not @t207)))) % 0.35/0.61 (step @p304 :rule cnf_or_neg :args (@t208 0)) % 0.35/0.61 (step @p305 :rule eq_resolve :premises (@p304 @p303)) % 0.35/0.61 (step @p306 :rule reordering :premises (@p305) :args ((or @t206 @t208))) % 0.35/0.61 (step @p307 :rule chain_m_resolution :premises (@p306 @p300) :args (@t206 @t83 @t210)) % 0.35/0.61 (step @p308 :rule cnf_equiv_pos1 :args (@t214)) % 0.35/0.61 (step @p309 :rule reordering :premises (@p308) :args ((or @t207 @t213 (not @t214)))) % 0.35/0.61 (step @p310 :rule chain_m_resolution :premises (@p309 @p307 @p198) :args (@t213 @t104 (@list @t206 @t214))) % 0.35/0.61 (step @p311 :rule cnf_and_pos :args (@t213 1)) % 0.35/0.61 (step @p312 :rule reordering :premises (@p311) :args ((or @t211 @t215))) % 0.35/0.61 (step @p313 :rule chain_m_resolution :premises (@p312 @p310) :args (@t211 @t106 @t216)) % 0.35/0.61 (step @p314 :rule instantiate :premises (@p187) :args ((@list @t67 @t70 @t160))) % 0.35/0.61 (step @p315 :rule cnf_and_pos :args (@t213 0)) % 0.35/0.61 (step @p316 :rule reordering :premises (@p315) :args ((or @t212 @t215))) % 0.35/0.61 (step @p317 :rule chain_m_resolution :premises (@p316 @p310) :args (@t212 @t106 @t216)) % 0.35/0.61 (step @p318 :rule instantiate :premises (@p15) :args ((@list @t69 @t66 @t67 @t160))) % 0.35/0.61 (step @p319 :rule cnf_or_neg :args (@t208 1)) % 0.35/0.61 (step @p320 :rule chain_m_resolution :premises (@p319 @p300) :args ((not @t205) @t83 @t210)) % 0.35/0.61 (step @p321 :rule cnf_equiv_pos2 :args (@t219)) % 0.35/0.61 (step @p322 :rule reordering :premises (@p321) :args ((or @t205 @t220 (not @t219)))) % 0.35/0.61 (step @p323 :rule chain_m_resolution :premises (@p322 @p320 @p318) :args (@t220 @t203 (@list @t205 @t219))) % 0.35/0.61 (step @p324 :rule cnf_and_neg :args (@t218)) % 0.35/0.61 (step @p325 :rule chain_m_resolution :premises (@p324 @p323 @p317) :args ((not @t217) @t203 (@list @t218 @t212))) % 0.35/0.61 (step @p326 :rule cnf_or_pos :args (@t223)) % 0.35/0.61 (step @p327 :rule reordering :premises (@p326) :args ((or @t79 @t78 @t217 @t182 @t222 @t221 (not @t223)))) % 0.35/0.61 (step @p328 false :rule chain_m_resolution :premises (@p327 @p325 @p317 @p314 @p313 @p197 @p48 @p42) :args (false (@list true false false false false false false) (@list @t217 @t212 @t223 @t211 @t85 @t77 @t68))) % 0.35/0.61 ) % 0.35/0.61 % SZS output end Proof % 0.35/0.61 % cvc5 exiting %------------------------------------------------------------------------------