%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET775+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 : n019.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 08:48:37 AM UTC 2026 % Result : Theorem 0.45s 0.63s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SET775+4 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n019.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 16:11:34 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.63 % SZS status Theorem % 0.45/0.63 % SZS output start Proof % 0.45/0.63 ( % 0.45/0.63 (declare-sort $$unsorted 0) % 0.45/0.63 (declare-const tptp.pre_order (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.equivalence (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.equivalence_class (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.empty_set $$unsorted) % 0.45/0.63 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.partition (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (define @t1 () (@var "B" $$unsorted)) % 0.45/0.63 (define @t2 () (@var "X" $$unsorted)) % 0.45/0.63 (define @t3 () (tptp.member @t2 @t1)) % 0.45/0.63 (define @t4 () (@var "A" $$unsorted)) % 0.45/0.63 (define @t5 () (tptp.member @t2 @t4)) % 0.45/0.63 (define @t6 () (@list @t2)) % 0.45/0.63 (define @t7 () (tptp.subset @t4 @t1)) % 0.45/0.63 (define @t8 () (@list @t4 @t1)) % 0.45/0.63 (define @t9 () (@list @t2 @t4)) % 0.45/0.63 (define @t10 () (and @t5 @t3)) % 0.45/0.63 (define @t11 () (@list @t2 @t4 @t1)) % 0.45/0.63 (define @t12 () (@var "E" $$unsorted)) % 0.45/0.63 (define @t13 () (tptp.member @t1 @t12)) % 0.45/0.63 (define @t14 () (= @t2 @t4)) % 0.45/0.63 (define @t15 () (@var "Y" $$unsorted)) % 0.45/0.63 (define @t16 () (tptp.member @t2 @t15)) % 0.45/0.63 (define @t17 () (tptp.member @t15 @t4)) % 0.45/0.63 (define @t18 () (@list @t15)) % 0.45/0.63 (define @t19 () (exists @t18 (and @t17 @t16))) % 0.45/0.63 (define @t20 () (@var "Z" $$unsorted)) % 0.45/0.63 (define @t21 () (and @t5 @t17)) % 0.45/0.63 (define @t22 () (@list @t2 @t15)) % 0.45/0.63 (define @t23 () (tptp.member @t2 @t12)) % 0.45/0.63 (define @t24 () (@var "R" $$unsorted)) % 0.45/0.63 (define @t25 () (tptp.apply @t24 @t2 @t20)) % 0.45/0.63 (define @t26 () (tptp.apply @t24 @t15 @t20)) % 0.45/0.63 (define @t27 () (tptp.apply @t24 @t2 @t15)) % 0.45/0.63 (define @t28 () (and @t27 @t26)) % 0.45/0.63 (define @t29 () (=> @t28 @t25)) % 0.45/0.63 (define @t30 () (tptp.member @t20 @t4)) % 0.45/0.63 (define @t31 () (and @t5 @t17 @t30)) % 0.45/0.63 (define @t32 () (@list @t2 @t15 @t20)) % 0.45/0.63 (define @t33 () (forall @t32 (=> @t31 @t29))) % 0.45/0.63 (define @t34 () (tptp.apply @t24 @t15 @t2)) % 0.45/0.63 (define @t35 () (=> @t27 @t34)) % 0.45/0.63 (define @t36 () (forall @t22 (=> @t21 @t35))) % 0.45/0.63 (define @t37 () (tptp.apply @t24 @t2 @t2)) % 0.45/0.63 (define @t38 () (forall @t6 (=> @t5 @t37))) % 0.45/0.63 (define @t39 () (and @t38 @t36 @t33)) % 0.45/0.63 (define @t40 () (tptp.equivalence @t24 @t4)) % 0.45/0.63 (define @t41 () (= @t40 @t39)) % 0.45/0.63 (define @t42 () (forall (@list @t4 @t24) @t41)) % 0.45/0.63 (define @t43 () (tptp.member @t20 @t12)) % 0.45/0.63 (define @t44 () (tptp.member @t15 @t12)) % 0.45/0.63 (define @t45 () (and @t23 @t44 @t43)) % 0.45/0.63 (define @t46 () (forall @t32 (=> @t45 @t29))) % 0.45/0.63 (define @t47 () (forall @t6 (=> @t23 @t37))) % 0.45/0.63 (define @t48 () (and @t47 @t46)) % 0.45/0.63 (define @t49 () (tptp.pre_order @t24 @t12)) % 0.45/0.63 (define @t50 () (= @t49 @t48)) % 0.45/0.63 (define @t51 () (forall (@list @t24 @t12) @t50)) % 0.45/0.63 (define @t52 () (tptp.equivalence @t24 @t12)) % 0.45/0.63 (define @t53 () (@var "P" $$unsorted)) % 0.45/0.63 (define @t54 () (= (tptp.apply @t24 @t4 @t1) (and (tptp.apply @t53 @t4 @t1) (tptp.apply @t53 @t1 @t4)))) % 0.45/0.63 (define @t55 () (tptp.member @t4 @t12)) % 0.45/0.63 (define @t56 () (and @t55 @t13)) % 0.45/0.63 (define @t57 () (forall @t8 (=> @t56 @t54))) % 0.45/0.63 (define @t58 () (tptp.pre_order @t53 @t12)) % 0.45/0.63 (define @t59 () (and @t58 @t57)) % 0.45/0.63 (define @t60 () (=> @t59 @t52)) % 0.45/0.63 (define @t61 () (@list @t12 @t53 @t24)) % 0.45/0.63 (define @t62 () (forall @t61 @t60)) % 0.45/0.63 (define @t63 () (not @t62)) % 0.45/0.63 (define @t64 () (not @t26)) % 0.45/0.63 (define @t65 () (not @t27)) % 0.45/0.63 (define @t66 () (not @t43)) % 0.45/0.63 (define @t67 () (not @t44)) % 0.45/0.63 (define @t68 () (not @t23)) % 0.45/0.63 (define @t69 () (or @t65 @t64 @t25)) % 0.45/0.63 (define @t70 () (or @t68 @t67 @t66)) % 0.45/0.63 (define @t71 () (not @t13)) % 0.45/0.63 (define @t72 () (not @t55)) % 0.45/0.63 (define @t73 () (or @t72 @t71 @t54)) % 0.45/0.63 (define @t74 () (forall @t8 @t73)) % 0.45/0.63 (define @t75 () (not @t74)) % 0.45/0.63 (define @t76 () (not @t58)) % 0.45/0.63 (define @t77 () (or @t76 @t75 @t52)) % 0.45/0.63 (define @t78 () (forall @t61 @t77)) % 0.45/0.63 (define @t79 () (@quantifiers_skolemize @t78 0)) % 0.45/0.63 (define @t80 () (@quantifiers_skolemize @t78 1)) % 0.45/0.63 (define @t81 () (and @t58 @t74)) % 0.45/0.63 (define @t82 () (tptp.pre_order @t80 @t79)) % 0.45/0.63 (define @t83 () (@quantifiers_skolemize @t78 2)) % 0.45/0.63 (define @t84 () (tptp.equivalence @t83 @t79)) % 0.45/0.63 (define @t85 () (forall @t8 (or (not (tptp.member @t4 @t79)) (not (tptp.member @t1 @t79)) (= (tptp.apply @t83 @t4 @t1) (and (tptp.apply @t80 @t4 @t1) (tptp.apply @t80 @t1 @t4)))))) % 0.45/0.63 (define @t86 () (not @t85)) % 0.45/0.63 (define @t87 () (not @t82)) % 0.45/0.63 (define @t88 () (or @t87 @t86 @t84)) % 0.45/0.63 (define @t89 () (@list true)) % 0.45/0.63 (define @t90 () (@list @t88)) % 0.45/0.63 (define @t91 () (not (tptp.member @t20 @t79))) % 0.45/0.63 (define @t92 () (not (tptp.member @t15 @t79))) % 0.45/0.63 (define @t93 () (not (tptp.member @t2 @t79))) % 0.45/0.63 (define @t94 () (forall @t32 (or @t93 @t92 @t91 (not (tptp.apply @t80 @t2 @t15)) (not (tptp.apply @t80 @t15 @t20)) (tptp.apply @t80 @t2 @t20)))) % 0.45/0.63 (define @t95 () (forall @t6 (or @t93 (tptp.apply @t80 @t2 @t2)))) % 0.45/0.63 (define @t96 () (and @t95 @t94)) % 0.45/0.63 (define @t97 () (= @t82 @t96)) % 0.45/0.63 (define @t98 () (@list false false)) % 0.45/0.63 (define @t99 () (not @t96)) % 0.45/0.63 (define @t100 () (@list false)) % 0.45/0.63 (define @t101 () (@list @t96)) % 0.45/0.63 (define @t102 () (not (tptp.apply @t83 @t2 @t15))) % 0.45/0.63 (define @t103 () (forall @t32 (or @t93 @t92 @t91 @t102 (not (tptp.apply @t83 @t15 @t20)) (tptp.apply @t83 @t2 @t20)))) % 0.45/0.63 (define @t104 () (@quantifiers_skolemize @t103 2)) % 0.45/0.63 (define @t105 () (@quantifiers_skolemize @t103 1)) % 0.45/0.63 (define @t106 () (forall @t22 (or @t93 @t92 @t102 (tptp.apply @t83 @t15 @t2)))) % 0.45/0.63 (define @t107 () (@quantifiers_skolemize @t106 0)) % 0.45/0.63 (define @t108 () (tptp.member @t107 @t79)) % 0.45/0.63 (define @t109 () (@quantifiers_skolemize @t106 1)) % 0.45/0.63 (define @t110 () (tptp.apply @t83 @t109 @t107)) % 0.45/0.63 (define @t111 () (tptp.apply @t83 @t107 @t109)) % 0.45/0.63 (define @t112 () (not @t111)) % 0.45/0.63 (define @t113 () (tptp.member @t109 @t79)) % 0.45/0.63 (define @t114 () (not @t113)) % 0.45/0.63 (define @t115 () (not @t108)) % 0.45/0.63 (define @t116 () (or @t115 @t114 @t112 @t110)) % 0.45/0.63 (define @t117 () (tptp.apply @t80 @t109 @t107)) % 0.45/0.63 (define @t118 () (tptp.apply @t80 @t107 @t109)) % 0.45/0.63 (define @t119 () (and @t118 @t117)) % 0.45/0.63 (define @t120 () (= @t111 @t119)) % 0.45/0.63 (define @t121 () (or @t115 @t114 @t120)) % 0.45/0.63 (define @t122 () (and @t117 @t118)) % 0.45/0.63 (define @t123 () (= @t110 @t122)) % 0.45/0.63 (define @t124 () (or @t114 @t115 @t123)) % 0.45/0.63 (define @t125 () (not @t119)) % 0.45/0.63 (define @t126 () (not @t116)) % 0.45/0.63 (define @t127 () (not @t106)) % 0.45/0.63 (define @t128 () (forall @t6 (or @t93 (tptp.apply @t83 @t2 @t2)))) % 0.45/0.63 (define @t129 () (@quantifiers_skolemize @t128 0)) % 0.45/0.63 (define @t130 () (tptp.member @t129 @t79)) % 0.45/0.63 (define @t131 () (tptp.apply @t83 @t129 @t129)) % 0.45/0.63 (define @t132 () (not @t130)) % 0.45/0.63 (define @t133 () (or @t132 @t131)) % 0.45/0.63 (define @t134 () (tptp.apply @t80 @t129 @t129)) % 0.45/0.63 (define @t135 () (and @t134 @t134)) % 0.45/0.63 (define @t136 () (= @t131 @t135)) % 0.45/0.63 (define @t137 () (or @t132 @t132 @t136)) % 0.45/0.63 (define @t138 () (= @t131 @t134)) % 0.45/0.63 (define @t139 () (or @t132 @t132 @t138)) % 0.45/0.63 (define @t140 () (or @t132 @t134)) % 0.45/0.63 (define @t141 () (not @t133)) % 0.45/0.63 (define @t142 () (not @t128)) % 0.45/0.63 (define @t143 () (not @t30)) % 0.45/0.63 (define @t144 () (not @t17)) % 0.45/0.63 (define @t145 () (not @t5)) % 0.45/0.63 (define @t146 () (or @t145 @t144 @t143)) % 0.45/0.63 (define @t147 () (and @t128 @t106 @t103)) % 0.45/0.63 (define @t148 () (= @t84 @t147)) % 0.45/0.63 (define @t149 () (not @t147)) % 0.45/0.63 (define @t150 () (@list true false)) % 0.45/0.63 (define @t151 () (not @t103)) % 0.45/0.63 (define @t152 () (@quantifiers_skolemize @t103 0)) % 0.45/0.63 (define @t153 () (tptp.apply @t83 @t152 @t104)) % 0.45/0.63 (define @t154 () (tptp.apply @t83 @t105 @t104)) % 0.45/0.63 (define @t155 () (not @t154)) % 0.45/0.63 (define @t156 () (tptp.apply @t83 @t152 @t105)) % 0.45/0.63 (define @t157 () (not @t156)) % 0.45/0.63 (define @t158 () (tptp.member @t104 @t79)) % 0.45/0.63 (define @t159 () (not @t158)) % 0.45/0.63 (define @t160 () (tptp.member @t105 @t79)) % 0.45/0.63 (define @t161 () (not @t160)) % 0.45/0.63 (define @t162 () (tptp.member @t152 @t79)) % 0.45/0.63 (define @t163 () (not @t162)) % 0.45/0.63 (define @t164 () (or @t163 @t161 @t159 @t157 @t155 @t153)) % 0.45/0.63 (define @t165 () (not @t164)) % 0.45/0.63 (define @t166 () (@list @t164)) % 0.45/0.63 (define @t167 () (tptp.apply @t80 @t104 @t105)) % 0.45/0.63 (define @t168 () (tptp.apply @t80 @t105 @t104)) % 0.45/0.63 (define @t169 () (and @t168 @t167)) % 0.45/0.63 (define @t170 () (= @t154 @t169)) % 0.45/0.63 (define @t171 () (or @t161 @t159 @t170)) % 0.45/0.63 (define @t172 () (@list false false false)) % 0.45/0.63 (define @t173 () (not @t169)) % 0.45/0.63 (define @t174 () (@list @t169)) % 0.45/0.63 (define @t175 () (tptp.apply @t80 @t105 @t152)) % 0.45/0.63 (define @t176 () (tptp.apply @t80 @t152 @t105)) % 0.45/0.63 (define @t177 () (and @t176 @t175)) % 0.45/0.63 (define @t178 () (= @t156 @t177)) % 0.45/0.63 (define @t179 () (or @t163 @t161 @t178)) % 0.45/0.63 (define @t180 () (not @t177)) % 0.45/0.63 (define @t181 () (@list @t177)) % 0.45/0.63 (define @t182 () (tptp.apply @t80 @t152 @t104)) % 0.45/0.63 (define @t183 () (not @t168)) % 0.45/0.63 (define @t184 () (not @t176)) % 0.45/0.63 (define @t185 () (or @t163 @t161 @t159 @t184 @t183 @t182)) % 0.45/0.63 (define @t186 () (tptp.apply @t80 @t104 @t152)) % 0.45/0.63 (define @t187 () (and @t182 @t186)) % 0.45/0.63 (define @t188 () (= @t153 @t187)) % 0.45/0.63 (define @t189 () (or @t163 @t159 @t188)) % 0.45/0.63 (define @t190 () (not @t187)) % 0.45/0.63 (define @t191 () (not @t175)) % 0.45/0.63 (define @t192 () (not @t167)) % 0.45/0.63 (define @t193 () (or @t159 @t161 @t163 @t192 @t191 @t186)) % 0.45/0.63 (define @t194 () (not @t193)) % 0.45/0.63 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 0.45/0.63 (assume @p2 (forall @t8 (= (tptp.equal_set @t4 @t1) (and @t7 (tptp.subset @t1 @t4))))) % 0.45/0.63 (assume @p3 (forall @t9 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.45/0.63 (assume @p4 (forall @t11 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) @t10))) % 0.45/0.63 (assume @p5 (forall @t11 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.45/0.63 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.45/0.63 (assume @p7 (forall (@list @t1 @t4 @t12) (= (tptp.member @t1 (tptp.difference @t12 @t4)) (and @t13 (not (tptp.member @t1 @t4)))))) % 0.45/0.63 (assume @p8 (forall @t9 (= (tptp.member @t2 (tptp.singleton @t4)) @t14))) % 0.45/0.63 (assume @p9 (forall @t11 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t14 (= @t2 @t1))))) % 0.45/0.63 (assume @p10 (forall @t9 (= (tptp.member @t2 (tptp.sum @t4)) @t19))) % 0.45/0.63 (assume @p11 (forall @t9 (= (tptp.member @t2 (tptp.product @t4)) (forall @t18 (=> @t17 @t16))))) % 0.45/0.63 (assume @p12 (forall @t8 (= (tptp.disjoint @t4 @t1) (not (exists @t6 @t10))))) % 0.45/0.63 (assume @p13 (forall (@list @t4 @t12) (= (tptp.partition @t4 @t12) (and (forall @t6 (=> @t5 (tptp.subset @t2 @t12))) (forall @t6 (=> @t23 @t19)) (forall @t22 (=> @t21 (=> (exists (@list @t20) (and (tptp.member @t20 @t2) (tptp.member @t20 @t15))) (= @t2 @t15)))))))) % 0.45/0.63 (assume @p14 @t42) % 0.45/0.63 (assume @p15 (forall (@list @t24 @t12 @t4 @t2) (= (tptp.member @t2 (tptp.equivalence_class @t4 @t12 @t24)) (and @t23 (tptp.apply @t24 @t4 @t2))))) % 0.45/0.63 (assume @p16 @t51) % 0.45/0.63 (assume @p17 @t63) % 0.45/0.63 (assume @p18 true) % 0.45/0.63 (step @p19 :rule aci_norm :args ((= (or @t70 @t69) (or @t68 @t67 @t66 @t65 @t64 @t25)))) % 0.45/0.63 (step @p20 :rule aci_norm :args ((= (or (or @t65 @t64) @t25) @t69))) % 0.45/0.63 (step @p21 :rule refl :args (@t25)) % 0.45/0.63 (step @p22 :rule bool-and-de-morgan :args (@t27 @t26 true)) % 0.45/0.63 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or (not @t28) @t25))) % 0.45/0.63 (step @p24 :rule trans :premises (@p23 @p20)) % 0.45/0.63 (step @p25 :rule bool-impl-elim :args (@t28 @t25)) % 0.45/0.63 (step @p26 :rule trans :premises (@p25 @p24)) % 0.45/0.63 (step @p27 :rule aci_norm :args ((= (or @t68 (or @t67 @t66)) @t70))) % 0.45/0.63 (step @p28 :rule bool-and-de-morgan :args (@t44 @t43 true)) % 0.45/0.63 (step @p29 :rule refl :args (@t68)) % 0.45/0.63 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t68 (not (and @t44 @t43))))) % 0.45/0.63 (step @p31 :rule bool-and-de-morgan :args (@t23 @t44 (and @t43))) % 0.45/0.63 (step @p32 :rule trans :premises (@p31 @p30)) % 0.45/0.63 (step @p33 :rule trans :premises (@p32 @p27)) % 0.45/0.63 (step @p34 :rule nary_cong :premises (@p33 @p26) :args ((or (not @t45) @t29))) % 0.45/0.63 (step @p35 :rule trans :premises (@p34 @p19)) % 0.45/0.63 (step @p36 :rule bool-impl-elim :args (@t45 @t29)) % 0.45/0.63 (step @p37 :rule trans :premises (@p36 @p35)) % 0.45/0.63 (step @p38 :rule cong :premises (@p37) :args (@t46)) % 0.45/0.63 (step @p39 :rule bool-impl-elim :args (@t23 @t37)) % 0.45/0.63 (step @p40 :rule cong :premises (@p39) :args (@t47)) % 0.45/0.63 (step @p41 :rule nary_cong :premises (@p40 @p38) :args (@t48)) % 0.45/0.63 (step @p42 :rule refl :args (@t49)) % 0.45/0.63 (step @p43 :rule cong :premises (@p42 @p41) :args (@t50)) % 0.45/0.63 (step @p44 :rule cong :premises (@p43) :args (@t51)) % 0.45/0.63 (step @p45 :rule eq_resolve :premises (@p16 @p44)) % 0.45/0.63 (step @p46 :rule 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@p258 :rule reordering :premises (@p257) :args ((or @t162 @t164))) % 0.45/0.63 (step @p259 :rule chain_m_resolution :premises (@p258 @p224) :args (@t162 @t89 @t166)) % 0.45/0.63 (step @p260 :rule cnf_or_pos :args (@t179)) % 0.45/0.63 (step @p261 :rule reordering :premises (@p260) :args ((or @t163 @t161 @t178 (not @t179)))) % 0.45/0.63 (step @p262 :rule chain_m_resolution :premises (@p261 @p259 @p237 @p253) :args (@t178 @t172 (@list @t162 @t160 @t179))) % 0.45/0.63 (step @p263 :rule bool-double-not-elim :args (@t156)) % 0.45/0.63 (step @p264 :rule nary_cong :premises (@p226 @p263) :args ((or @t164 (not @t157)))) % 0.45/0.63 (step @p265 :rule cnf_or_neg :args (@t164 3)) % 0.45/0.63 (step @p266 :rule eq_resolve :premises (@p265 @p264)) % 0.45/0.63 (step @p267 :rule reordering :premises (@p266) :args ((or @t156 @t164))) % 0.45/0.63 (step @p268 :rule chain_m_resolution :premises (@p267 @p224) :args (@t156 @t89 @t166)) % 0.45/0.63 (step @p269 :rule cnf_equiv_pos1 :args (@t178)) % 0.45/0.63 (step @p270 :rule reordering :premises (@p269) :args ((or @t157 @t177 (not @t178)))) % 0.45/0.63 (step @p271 :rule chain_m_resolution :premises (@p270 @p268 @p262) :args (@t177 @t98 (@list @t156 @t178))) % 0.45/0.63 (step @p272 :rule cnf_and_pos :args (@t177 1)) % 0.45/0.63 (step @p273 :rule reordering :premises (@p272) :args ((or @t175 @t180))) % 0.45/0.63 (step @p274 :rule chain_m_resolution :premises (@p273 @p271) :args (@t175 @t100 @t181)) % 0.45/0.63 (step @p275 :rule instantiate :premises (@p84) :args ((@list @t152 @t105 @t104))) % 0.45/0.63 (step @p276 :rule cnf_and_pos :args (@t169 0)) % 0.45/0.63 (step @p277 :rule reordering :premises (@p276) :args ((or @t168 @t173))) % 0.45/0.63 (step @p278 :rule chain_m_resolution :premises (@p277 @p249) :args (@t168 @t100 @t174)) % 0.45/0.63 (step @p279 :rule cnf_and_pos :args (@t177 0)) % 0.45/0.63 (step @p280 :rule reordering :premises (@p279) :args ((or @t176 @t180))) % 0.45/0.63 (step @p281 :rule chain_m_resolution :premises (@p280 @p271) :args (@t176 @t100 @t181)) % 0.45/0.63 (step @p282 :rule cnf_or_pos :args (@t185)) % 0.45/0.63 (step @p283 :rule reordering :premises (@p282) :args ((or @t163 @t161 @t159 @t182 @t184 @t183 (not @t185)))) % 0.45/0.63 (step @p284 :rule chain_m_resolution :premises (@p283 @p259 @p237 @p231 @p281 @p278 @p275) :args (@t182 (@list false false false false false false) (@list @t162 @t160 @t158 @t176 @t168 @t185))) % 0.45/0.63 (step @p285 :rule instantiate :premises (@p90) :args ((@list @t152 @t104))) % 0.45/0.63 (step @p286 :rule cnf_or_pos :args (@t189)) % 0.45/0.63 (step @p287 :rule reordering :premises (@p286) :args ((or @t163 @t159 @t188 (not @t189)))) % 0.45/0.63 (step @p288 :rule chain_m_resolution :premises (@p287 @p259 @p231 @p285) :args (@t188 @t172 (@list @t162 @t158 @t189))) % 0.45/0.63 (step @p289 :rule cnf_or_neg :args (@t164 5)) % 0.45/0.63 (step @p290 :rule chain_m_resolution :premises (@p289 @p224) :args ((not @t153) @t89 @t166)) % 0.45/0.63 (step @p291 :rule cnf_equiv_pos2 :args (@t188)) % 0.45/0.63 (step @p292 :rule reordering :premises (@p291) :args ((or @t153 @t190 (not @t188)))) % 0.45/0.63 (step @p293 :rule chain_m_resolution :premises (@p292 @p290 @p288) :args (@t190 @t150 (@list @t153 @t188))) % 0.45/0.63 (step @p294 :rule cnf_and_neg :args (@t187)) % 0.45/0.63 (step @p295 :rule chain_m_resolution :premises (@p294 @p293 @p284) :args ((not @t186) @t150 (@list @t187 @t182))) % 0.45/0.63 (step @p296 :rule cnf_or_pos :args (@t193)) % 0.45/0.63 (step @p297 :rule reordering :premises (@p296) :args ((or @t163 @t161 @t159 @t186 @t191 @t192 @t194))) % 0.45/0.63 (step @p298 :rule chain_m_resolution :premises (@p297 @p259 @p237 @p231 @p295 @p274 @p252) :args (@t194 (@list false false false true false false) (@list @t162 @t160 @t158 @t186 @t175 @t167))) % 0.45/0.63 (assume-push @p313 @t94) % 0.45/0.63 (step @p300 :rule instantiate :premises (@p84) :args ((@list @t104 @t105 @t152))) % 0.45/0.63 (step-pop @p314 :rule scope :premises (@p300)) % 0.45/0.63 (step @p301 :rule process_scope :premises (@p314) :args (@t193)) % 0.45/0.63 (step @p303 :rule implies_elim :premises (@p301)) % 0.45/0.63 (step @p304 false :rule chain_m_resolution :premises (@p303 @p298 @p84) :args (false @t150 (@list @t193 @t94))) % 0.45/0.63 ) % 0.45/0.63 % SZS output end Proof % 0.45/0.63 % cvc5 exiting %------------------------------------------------------------------------------