%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET795+4 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n001.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 08:48:40 AM UTC 2026 % Result : Theorem 0.38s 0.60s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET795+4 : TPTP v9.2.1. Released v3.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n001.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 16:13:05 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.60 % SZS status Theorem % 0.38/0.60 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-sort $$unsorted 0) % 0.38/0.60 (declare-const tptp.min (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.max (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.lower_bound (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.order (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.least (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.greatest (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.upper_bound (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.empty_set $$unsorted) % 0.38/0.60 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.total_order (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.60 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.60 (define @t2 () (@var "X" $$unsorted)) % 0.38/0.60 (define @t3 () (tptp.member @t2 @t1)) % 0.38/0.60 (define @t4 () (@var "A" $$unsorted)) % 0.38/0.60 (define @t5 () (tptp.member @t2 @t4)) % 0.38/0.60 (define @t6 () (@list @t2)) % 0.38/0.60 (define @t7 () (tptp.subset @t4 @t1)) % 0.38/0.60 (define @t8 () (@list @t4 @t1)) % 0.38/0.60 (define @t9 () (@list @t2 @t4)) % 0.38/0.60 (define @t10 () (@list @t2 @t4 @t1)) % 0.38/0.60 (define @t11 () (@var "E" $$unsorted)) % 0.38/0.60 (define @t12 () (tptp.member @t1 @t11)) % 0.38/0.60 (define @t13 () (= @t2 @t4)) % 0.38/0.60 (define @t14 () (or @t13 (= @t2 @t1))) % 0.38/0.60 (define @t15 () (tptp.unordered_pair @t4 @t1)) % 0.38/0.60 (define @t16 () (tptp.member @t2 @t15)) % 0.38/0.60 (define @t17 () (= @t16 @t14)) % 0.38/0.60 (define @t18 () (forall @t10 @t17)) % 0.38/0.60 (define @t19 () (@var "Y" $$unsorted)) % 0.38/0.60 (define @t20 () (tptp.member @t2 @t19)) % 0.38/0.60 (define @t21 () (tptp.member @t19 @t4)) % 0.38/0.60 (define @t22 () (@list @t19)) % 0.38/0.60 (define @t23 () (@var "Z" $$unsorted)) % 0.38/0.60 (define @t24 () (@var "R" $$unsorted)) % 0.38/0.60 (define @t25 () (tptp.apply @t24 @t2 @t23)) % 0.38/0.60 (define @t26 () (tptp.apply @t24 @t19 @t23)) % 0.38/0.60 (define @t27 () (tptp.apply @t24 @t2 @t19)) % 0.38/0.60 (define @t28 () (and @t27 @t26)) % 0.38/0.60 (define @t29 () (=> @t28 @t25)) % 0.38/0.60 (define @t30 () (tptp.member @t23 @t11)) % 0.38/0.60 (define @t31 () (tptp.member @t19 @t11)) % 0.38/0.60 (define @t32 () (tptp.member @t2 @t11)) % 0.38/0.60 (define @t33 () (and @t32 @t31 @t30)) % 0.38/0.60 (define @t34 () (@list @t2 @t19 @t23)) % 0.38/0.60 (define @t35 () (forall @t34 (=> @t33 @t29))) % 0.38/0.60 (define @t36 () (= @t2 @t19)) % 0.38/0.60 (define @t37 () (tptp.apply @t24 @t19 @t2)) % 0.38/0.60 (define @t38 () (and @t27 @t37)) % 0.38/0.60 (define @t39 () (=> @t38 @t36)) % 0.38/0.60 (define @t40 () (and @t32 @t31)) % 0.38/0.60 (define @t41 () (@list @t2 @t19)) % 0.38/0.60 (define @t42 () (forall @t41 (=> @t40 @t39))) % 0.38/0.60 (define @t43 () (tptp.apply @t24 @t2 @t2)) % 0.38/0.60 (define @t44 () (forall @t6 (=> @t32 @t43))) % 0.38/0.60 (define @t45 () (and @t44 @t42 @t35)) % 0.38/0.60 (define @t46 () (tptp.order @t24 @t11)) % 0.38/0.60 (define @t47 () (= @t46 @t45)) % 0.38/0.60 (define @t48 () (@list @t24 @t11)) % 0.38/0.60 (define @t49 () (forall @t48 @t47)) % 0.38/0.60 (define @t50 () (@var "M" $$unsorted)) % 0.38/0.60 (define @t51 () (tptp.apply @t24 @t2 @t50)) % 0.38/0.60 (define @t52 () (forall @t6 (=> @t32 @t51))) % 0.38/0.60 (define @t53 () (tptp.upper_bound @t50 @t24 @t11)) % 0.38/0.60 (define @t54 () (= @t53 @t52)) % 0.38/0.60 (define @t55 () (@list @t24 @t11 @t50)) % 0.38/0.60 (define @t56 () (forall @t55 @t54)) % 0.38/0.60 (define @t57 () (tptp.apply @t24 @t50 @t2)) % 0.38/0.60 (define @t58 () (forall @t6 (=> @t32 @t57))) % 0.38/0.60 (define @t59 () (tptp.member @t50 @t11)) % 0.38/0.60 (define @t60 () (= @t50 @t2)) % 0.38/0.60 (define @t61 () (tptp.apply @t24 @t4 @t50)) % 0.38/0.60 (define @t62 () (tptp.upper_bound @t50 @t24 @t2)) % 0.38/0.60 (define @t63 () (and @t59 @t62)) % 0.38/0.60 (define @t64 () (@list @t50)) % 0.38/0.60 (define @t65 () (forall @t64 (=> @t63 @t61))) % 0.38/0.60 (define @t66 () (tptp.upper_bound @t4 @t24 @t2)) % 0.38/0.60 (define @t67 () (tptp.member @t4 @t2)) % 0.38/0.60 (define @t68 () (and @t67 @t66 @t65)) % 0.38/0.60 (define @t69 () (tptp.least_upper_bound @t4 @t2 @t24 @t11)) % 0.38/0.60 (define @t70 () (= @t69 @t68)) % 0.38/0.60 (define @t71 () (@list @t4 @t2 @t24 @t11)) % 0.38/0.60 (define @t72 () (forall @t71 @t70)) % 0.38/0.60 (define @t73 () (tptp.least_upper_bound @t1 @t15 @t24 @t11)) % 0.38/0.60 (define @t74 () (tptp.apply @t24 @t4 @t1)) % 0.38/0.60 (define @t75 () (tptp.member @t4 @t11)) % 0.38/0.60 (define @t76 () (and @t46 @t75 @t12 @t74)) % 0.38/0.60 (define @t77 () (@list @t24 @t11 @t4 @t1)) % 0.38/0.60 (define @t78 () (forall @t77 (=> @t76 @t73))) % 0.38/0.60 (define @t79 () (not @t78)) % 0.38/0.60 (define @t80 () (not @t74)) % 0.38/0.60 (define @t81 () (not @t12)) % 0.38/0.60 (define @t82 () (not @t75)) % 0.38/0.60 (define @t83 () (not @t46)) % 0.38/0.60 (define @t84 () (or @t83 @t82 @t81 @t80 @t73)) % 0.38/0.60 (define @t85 () (or @t83 @t82 @t81 @t80)) % 0.38/0.60 (define @t86 () (forall @t77 @t84)) % 0.38/0.60 (define @t87 () (@quantifiers_skolemize @t86 3)) % 0.38/0.60 (define @t88 () (@quantifiers_skolemize @t86 2)) % 0.38/0.60 (define @t89 () (@quantifiers_skolemize @t86 0)) % 0.38/0.60 (define @t90 () (tptp.apply @t89 @t88 @t87)) % 0.38/0.60 (define @t91 () (@quantifiers_skolemize @t86 1)) % 0.38/0.60 (define @t92 () (tptp.unordered_pair @t88 @t87)) % 0.38/0.60 (define @t93 () (tptp.least_upper_bound @t87 @t92 @t89 @t91)) % 0.38/0.60 (define @t94 () (not @t90)) % 0.38/0.60 (define @t95 () (tptp.member @t87 @t91)) % 0.38/0.60 (define @t96 () (not @t95)) % 0.38/0.60 (define @t97 () (tptp.order @t89 @t91)) % 0.38/0.60 (define @t98 () (not @t97)) % 0.38/0.60 (define @t99 () (or @t98 (not (tptp.member @t88 @t91)) @t96 @t94 @t93)) % 0.38/0.60 (define @t100 () (@list true)) % 0.38/0.60 (define @t101 () (@list @t99)) % 0.38/0.60 (define @t102 () (forall @t64 (or (not (tptp.member @t50 @t91)) (not (tptp.upper_bound @t50 @t89 @t92)) (tptp.apply @t89 @t87 @t50)))) % 0.38/0.60 (define @t103 () (@quantifiers_skolemize @t102 0)) % 0.38/0.60 (define @t104 () (tptp.upper_bound @t103 @t89 @t92)) % 0.38/0.60 (define @t105 () (tptp.apply @t89 @t87 @t103)) % 0.38/0.60 (define @t106 () (not @t104)) % 0.38/0.60 (define @t107 () (or (not (tptp.member @t103 @t91)) @t106 @t105)) % 0.38/0.60 (define @t108 () (not (tptp.member @t2 @t92))) % 0.38/0.60 (define @t109 () (forall @t6 (or @t108 (tptp.apply @t89 @t2 @t103)))) % 0.38/0.60 (define @t110 () (= @t104 @t109)) % 0.38/0.60 (define @t111 () (tptp.member @t87 @t92)) % 0.38/0.60 (define @t112 () (= @t88 @t87)) % 0.38/0.60 (define @t113 () (or @t112 (= @t87 @t87))) % 0.38/0.60 (define @t114 () (= @t111 @t113)) % 0.38/0.60 (define @t115 () (forall @t10 (= @t16 (or (= @t4 @t2) (= @t1 @t2))))) % 0.38/0.60 (define @t116 () (@list false)) % 0.38/0.60 (define @t117 () (not @t111)) % 0.38/0.60 (define @t118 () (or @t117 @t105)) % 0.38/0.60 (define @t119 () (@list @t87)) % 0.38/0.60 (define @t120 () (not @t107)) % 0.38/0.60 (define @t121 () (not @t102)) % 0.38/0.60 (define @t122 () (not @t62)) % 0.38/0.60 (define @t123 () (not @t59)) % 0.38/0.60 (define @t124 () (tptp.upper_bound @t87 @t89 @t92)) % 0.38/0.60 (define @t125 () (and @t111 @t124 @t102)) % 0.38/0.60 (define @t126 () (= @t93 @t125)) % 0.38/0.60 (define @t127 () (not @t125)) % 0.38/0.60 (define @t128 () (@list true false)) % 0.38/0.60 (define @t129 () (forall @t6 (or @t108 (tptp.apply @t89 @t2 @t87)))) % 0.38/0.60 (define @t130 () (= @t124 @t129)) % 0.38/0.60 (define @t131 () (not @t129)) % 0.38/0.60 (define @t132 () (@quantifiers_skolemize @t129 0)) % 0.38/0.60 (define @t133 () (tptp.apply @t89 @t132 @t87)) % 0.38/0.60 (define @t134 () (tptp.member @t132 @t92)) % 0.38/0.60 (define @t135 () (not @t134)) % 0.38/0.60 (define @t136 () (or @t135 @t133)) % 0.38/0.60 (define @t137 () (not @t136)) % 0.38/0.60 (define @t138 () (not @t133)) % 0.38/0.60 (define @t139 () (@list @t136)) % 0.38/0.60 (define @t140 () (= @t87 @t132)) % 0.38/0.60 (define @t141 () (= @t88 @t132)) % 0.38/0.60 (define @t142 () (or @t141 @t140)) % 0.38/0.60 (define @t143 () (= @t134 @t142)) % 0.38/0.60 (define @t144 () (not @t26)) % 0.38/0.60 (define @t145 () (not @t27)) % 0.38/0.60 (define @t146 () (not @t30)) % 0.38/0.60 (define @t147 () (not @t31)) % 0.38/0.60 (define @t148 () (not @t32)) % 0.38/0.60 (define @t149 () (or @t145 @t144 @t25)) % 0.38/0.60 (define @t150 () (or @t148 @t147 @t146)) % 0.38/0.60 (define @t151 () (not @t37)) % 0.38/0.60 (define @t152 () (or @t145 @t151 @t36)) % 0.38/0.60 (define @t153 () (not (tptp.apply @t89 @t2 @t19))) % 0.38/0.60 (define @t154 () (not (tptp.member @t19 @t91))) % 0.38/0.60 (define @t155 () (not (tptp.member @t2 @t91))) % 0.38/0.60 (define @t156 () (forall @t6 (or @t155 (tptp.apply @t89 @t2 @t2)))) % 0.38/0.60 (define @t157 () (and @t156 (forall @t41 (or @t155 @t154 @t153 (not (tptp.apply @t89 @t19 @t2)) @t36)) (forall @t34 (or @t155 @t154 (not (tptp.member @t23 @t91)) @t153 (not (tptp.apply @t89 @t19 @t23)) (tptp.apply @t89 @t2 @t23))))) % 0.38/0.60 (define @t158 () (= @t97 @t157)) % 0.38/0.60 (define @t159 () (@list false false)) % 0.38/0.60 (define @t160 () (tptp.apply @t89 @t87 @t87)) % 0.38/0.60 (define @t161 () (or @t96 @t160)) % 0.38/0.60 (define @t162 () (not @t140)) % 0.38/0.60 (define @t163 () (not @t160)) % 0.38/0.60 (define @t164 () (not @t138)) % 0.38/0.60 (define @t165 () (= false true)) % 0.38/0.60 (define @t166 () (and @t160 @t140 @t138)) % 0.38/0.60 (define @t167 () (not @t141)) % 0.38/0.60 (define @t168 () (and @t90 @t141 @t138)) % 0.38/0.60 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 0.38/0.60 (assume @p2 (forall @t8 (= (tptp.equal_set @t4 @t1) (and @t7 (tptp.subset @t1 @t4))))) % 0.38/0.60 (assume @p3 (forall @t9 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.38/0.60 (assume @p4 (forall @t10 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.38/0.60 (assume @p5 (forall @t10 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.38/0.60 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.38/0.60 (assume @p7 (forall (@list @t1 @t4 @t11) (= (tptp.member @t1 (tptp.difference @t11 @t4)) (and @t12 (not (tptp.member @t1 @t4)))))) % 0.38/0.60 (assume @p8 (forall @t9 (= (tptp.member @t2 (tptp.singleton @t4)) @t13))) % 0.38/0.60 (assume @p9 @t18) % 0.38/0.60 (assume @p10 (forall @t9 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t22 (and @t21 @t20))))) % 0.38/0.60 (assume @p11 (forall @t9 (= (tptp.member @t2 (tptp.product @t4)) (forall @t22 (=> @t21 @t20))))) % 0.38/0.60 (assume @p12 @t49) % 0.38/0.60 (assume @p13 (forall @t48 (= (tptp.total_order @t24 @t11) (and @t46 (forall @t41 (=> @t40 (or @t27 @t37))))))) % 0.38/0.60 (assume @p14 @t56) % 0.38/0.60 (assume @p15 (forall @t55 (= (tptp.lower_bound @t50 @t24 @t11) @t58))) % 0.38/0.60 (assume @p16 (forall @t55 (= (tptp.greatest @t50 @t24 @t11) (and @t59 @t52)))) % 0.38/0.60 (assume @p17 (forall @t55 (= (tptp.least @t50 @t24 @t11) (and @t59 @t58)))) % 0.38/0.60 (assume @p18 (forall @t55 (= (tptp.max @t50 @t24 @t11) (and @t59 (forall @t6 (=> (and @t32 @t57) @t60)))))) % 0.38/0.60 (assume @p19 (forall @t55 (= (tptp.min @t50 @t24 @t11) (and @t59 (forall @t6 (=> (and @t32 @t51) @t60)))))) % 0.38/0.60 (assume @p20 @t72) % 0.38/0.60 (assume @p21 (forall @t71 (= (tptp.greatest_lower_bound @t4 @t2 @t24 @t11) (and @t67 (tptp.lower_bound @t4 @t24 @t2) (forall @t64 (=> (and @t59 (tptp.lower_bound @t50 @t24 @t2)) (tptp.apply @t24 @t50 @t4))))))) % 0.38/0.60 (assume @p22 @t79) % 0.38/0.60 (assume @p23 true) % 0.38/0.60 (step @p24 :rule aci_norm :args ((= (or @t85 @t73) @t84))) % 0.38/0.60 (step @p25 :rule refl :args (@t73)) % 0.38/0.60 (step @p26 :rule aci_norm :args ((= (or @t83 (or @t82 (or @t81 @t80))) @t85))) % 0.38/0.60 (step @p27 :rule bool-and-de-morgan :args (@t12 @t74 true)) % 0.38/0.60 (step @p28 :rule refl :args (@t82)) % 0.38/0.60 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or @t82 (not (and @t12 @t74))))) % 0.38/0.60 (step @p30 :rule bool-and-de-morgan :args (@t75 @t12 (and @t74))) % 0.38/0.60 (step @p31 :rule trans :premises (@p30 @p29)) % 0.38/0.60 (step @p32 :rule refl :args (@t83)) % 0.38/0.60 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or @t83 (not (and @t75 @t12 @t74))))) % 0.38/0.60 (step @p34 :rule bool-and-de-morgan :args (@t46 @t75 (and @t12 @t74))) % 0.38/0.60 (step @p35 :rule trans :premises (@p34 @p33)) % 0.38/0.60 (step @p36 :rule trans :premises (@p35 @p26)) % 0.38/0.60 (step @p37 :rule nary_cong :premises (@p36 @p25) :args ((or (not @t76) @t73))) % 0.38/0.60 (step @p38 :rule trans :premises (@p37 @p24)) % 0.38/0.60 (step @p39 :rule bool-impl-elim :args (@t76 @t73)) % 0.38/0.60 (step @p40 :rule trans :premises (@p39 @p38)) % 0.38/0.60 (step @p41 :rule cong :premises (@p40) :args (@t78)) % 0.38/0.60 (step @p42 :rule cong :premises (@p41) :args (@t79)) % 0.38/0.60 (step @p43 :rule eq_resolve :premises (@p22 @p42)) % 0.38/0.60 (step @p44 :rule skolemize :premises (@p43)) % 0.38/0.60 (step @p45 :rule bool-double-not-elim :args (@t90)) % 0.38/0.60 (step @p46 :rule refl :args (@t99)) % 0.38/0.60 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t99 (not @t94)))) % 0.38/0.60 (step @p48 :rule cnf_or_neg :args (@t99 3)) % 0.38/0.60 (step @p49 :rule eq_resolve :premises (@p48 @p47)) % 0.38/0.60 (step @p50 :rule reordering :premises (@p49) :args ((or @t90 @t99))) % 0.38/0.60 (step @p51 :rule chain_m_resolution :premises (@p50 @p44) :args (@t90 @t100 @t101)) % 0.38/0.60 (step @p52 :rule bool-impl-elim :args (@t32 @t51)) % 0.38/0.60 (step @p53 :rule cong :premises (@p52) :args (@t52)) % 0.38/0.60 (step @p54 :rule refl :args (@t53)) % 0.38/0.60 (step @p55 :rule cong :premises (@p54 @p53) :args (@t54)) % 0.38/0.60 (step @p56 :rule cong :premises (@p55) :args (@t56)) % 0.38/0.60 (step @p57 :rule eq_resolve :premises (@p14 @p56)) % 0.38/0.60 (step @p58 :rule instantiate :premises (@p57) :args ((@list @t89 @t92 @t87))) % 0.38/0.60 (step @p59 :rule 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(step @p256 :rule not_and :premises (@p255)) % 0.38/0.60 (step @p257 :rule eq_resolve :premises (@p256 @p228)) % 0.38/0.60 (step @p258 :rule chain_m_resolution :premises (@p257 @p224 @p160 @p158 @p156 @p148 @p155) :args ((or @t136 @t141) (@list false false false false true false) (@list @t160 @t140 @t142 @t143 @t133 @t134))) % 0.38/0.60 (step @p259 :rule chain_m_resolution :premises (@p258 @p147) :args (@t141 @t100 @t139)) % 0.38/0.60 (step @p260 :rule refl :args (@t167)) % 0.38/0.60 (step @p261 :rule refl :args (@t94)) % 0.38/0.60 (step @p262 :rule nary_cong :premises (@p261 @p226 @p260) :args ((or @t94 @t164 @t167))) % 0.38/0.60 (assume-push @p310 @t90) % 0.38/0.60 (assume-push @p311 @t141) % 0.38/0.60 (assume-push @p312 @t138) % 0.38/0.60 (step @p232 :rule evaluate :args (@t165)) % 0.38/0.60 (step @p266 :rule true_intro :premises (@p51)) % 0.38/0.60 (step @p234 :rule refl :args (@t87)) % 0.38/0.60 (step @p267 :rule symm :premises (@p311)) % 0.38/0.60 (step @p236 :rule refl :args (@t89)) % 0.38/0.60 (step @p268 :rule cong :premises (@p236 @p267 @p234) :args (@t133)) % 0.38/0.60 (step @p269 :rule false_intro :premises (@p312)) % 0.38/0.60 (step @p270 :rule symm :premises (@p269)) % 0.38/0.60 (step @p271 :rule trans :premises (@p270 @p268 @p266)) % 0.38/0.60 (step @p272 false :rule eq_resolve :premises (@p271 @p232)) % 0.38/0.60 (step-pop @p313 :rule scope :premises (@p272)) % 0.38/0.60 (step-pop @p314 :rule scope :premises (@p313)) % 0.38/0.60 (step-pop @p315 :rule scope :premises (@p314)) % 0.38/0.60 (step @p273 :rule process_scope :premises (@p315) :args (false)) % 0.38/0.60 (assume-push @p316 @t90) % 0.38/0.60 (assume-push @p317 @t138) % 0.38/0.60 (assume-push @p318 @t141) % 0.38/0.60 (step @p280 :rule and_intro :premises (@p51 @p318 @p317)) % 0.38/0.60 (step-pop @p319 :rule scope :premises (@p280)) % 0.38/0.60 (step-pop @p320 :rule scope :premises (@p319)) % 0.38/0.60 (step-pop @p321 :rule scope :premises (@p320)) % 0.38/0.60 (step @p281 :rule process_scope :premises (@p321) :args (@t168)) % 0.38/0.60 (step @p285 :rule implies_elim :premises (@p281)) % 0.38/0.60 (step @p286 :rule resolution :premises (@p285 @p273) :args (true @t168)) % 0.38/0.60 (step @p287 :rule not_and :premises (@p286)) % 0.38/0.60 (step @p288 :rule eq_resolve :premises (@p287 @p262)) % 0.38/0.60 (step @p289 false :rule chain_m_resolution :premises (@p288 @p259 @p149 @p51) :args (false (@list false true false) (@list @t141 @t133 @t90))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------