%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET765+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 : n021.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 0.36s 0.59s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET765+4 : TPTP v9.2.1. Released v2.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:12:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.59 % SZS status Theorem % 0.36/0.59 % SZS output start Proof % 0.36/0.59 ( % 0.36/0.59 (declare-sort $$unsorted 0) % 0.36/0.59 (declare-const tptp.pre_order (-> $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.equivalence (-> $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.equivalence_class (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.empty_set $$unsorted) % 0.36/0.59 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.partition (-> $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.59 (define @t1 () (@var "B" $$unsorted)) % 0.36/0.59 (define @t2 () (@var "X" $$unsorted)) % 0.36/0.59 (define @t3 () (tptp.member @t2 @t1)) % 0.36/0.59 (define @t4 () (@var "A" $$unsorted)) % 0.36/0.59 (define @t5 () (tptp.member @t2 @t4)) % 0.36/0.59 (define @t6 () (@list @t2)) % 0.36/0.59 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.36/0.59 (define @t8 () (tptp.subset @t4 @t1)) % 0.36/0.59 (define @t9 () (= @t8 @t7)) % 0.36/0.59 (define @t10 () (@list @t4 @t1)) % 0.36/0.59 (define @t11 () (forall @t10 @t9)) % 0.36/0.59 (define @t12 () (@list @t2 @t4)) % 0.36/0.59 (define @t13 () (and @t5 @t3)) % 0.36/0.59 (define @t14 () (@list @t2 @t4 @t1)) % 0.36/0.59 (define @t15 () (@var "E" $$unsorted)) % 0.36/0.59 (define @t16 () (= @t2 @t4)) % 0.36/0.59 (define @t17 () (@var "Y" $$unsorted)) % 0.36/0.59 (define @t18 () (tptp.member @t2 @t17)) % 0.36/0.59 (define @t19 () (tptp.member @t17 @t4)) % 0.36/0.59 (define @t20 () (@list @t17)) % 0.36/0.59 (define @t21 () (exists @t20 (and @t19 @t18))) % 0.36/0.59 (define @t22 () (@var "Z" $$unsorted)) % 0.36/0.59 (define @t23 () (and @t5 @t19)) % 0.36/0.59 (define @t24 () (@list @t2 @t17)) % 0.36/0.59 (define @t25 () (tptp.member @t2 @t15)) % 0.36/0.59 (define @t26 () (tptp.subset @t2 @t15)) % 0.36/0.59 (define @t27 () (@var "R" $$unsorted)) % 0.36/0.59 (define @t28 () (tptp.apply @t27 @t2 @t22)) % 0.36/0.59 (define @t29 () (tptp.apply @t27 @t17 @t22)) % 0.36/0.59 (define @t30 () (tptp.apply @t27 @t2 @t17)) % 0.36/0.59 (define @t31 () (and @t30 @t29)) % 0.36/0.59 (define @t32 () (=> @t31 @t28)) % 0.36/0.59 (define @t33 () (tptp.member @t22 @t4)) % 0.36/0.59 (define @t34 () (and @t5 @t19 @t33)) % 0.36/0.59 (define @t35 () (@list @t2 @t17 @t22)) % 0.36/0.59 (define @t36 () (forall @t35 (=> @t34 @t32))) % 0.36/0.59 (define @t37 () (tptp.apply @t27 @t17 @t2)) % 0.36/0.59 (define @t38 () (=> @t30 @t37)) % 0.36/0.59 (define @t39 () (forall @t24 (=> @t23 @t38))) % 0.36/0.59 (define @t40 () (tptp.apply @t27 @t2 @t2)) % 0.36/0.59 (define @t41 () (forall @t6 (=> @t5 @t40))) % 0.36/0.59 (define @t42 () (and @t41 @t39 @t36)) % 0.36/0.59 (define @t43 () (tptp.equivalence @t27 @t4)) % 0.36/0.59 (define @t44 () (= @t43 @t42)) % 0.36/0.59 (define @t45 () (forall (@list @t4 @t27) @t44)) % 0.36/0.59 (define @t46 () (tptp.equivalence @t27 @t2)) % 0.36/0.59 (define @t47 () (tptp.equivalence @t27 @t15)) % 0.36/0.59 (define @t48 () (and @t47 @t26)) % 0.36/0.59 (define @t49 () (@list @t15 @t27 @t2)) % 0.36/0.59 (define @t50 () (forall @t49 (=> @t48 @t46))) % 0.36/0.59 (define @t51 () (not @t50)) % 0.36/0.59 (define @t52 () (not @t29)) % 0.36/0.59 (define @t53 () (not @t30)) % 0.36/0.59 (define @t54 () (not @t33)) % 0.36/0.59 (define @t55 () (not @t19)) % 0.36/0.59 (define @t56 () (not @t5)) % 0.36/0.59 (define @t57 () (or @t53 @t52 @t28)) % 0.36/0.59 (define @t58 () (or @t56 @t55 @t54)) % 0.36/0.59 (define @t59 () (not @t26)) % 0.36/0.59 (define @t60 () (not @t47)) % 0.36/0.59 (define @t61 () (or @t60 @t59 @t46)) % 0.36/0.59 (define @t62 () (forall @t49 @t61)) % 0.36/0.59 (define @t63 () (@quantifiers_skolemize @t62 1)) % 0.36/0.59 (define @t64 () (@quantifiers_skolemize @t62 0)) % 0.36/0.59 (define @t65 () (tptp.equivalence @t63 @t64)) % 0.36/0.59 (define @t66 () (@quantifiers_skolemize @t62 2)) % 0.36/0.59 (define @t67 () (tptp.equivalence @t63 @t66)) % 0.36/0.59 (define @t68 () (tptp.subset @t66 @t64)) % 0.36/0.59 (define @t69 () (not @t68)) % 0.36/0.59 (define @t70 () (not @t65)) % 0.36/0.59 (define @t71 () (or @t70 @t69 @t67)) % 0.36/0.59 (define @t72 () (@list true)) % 0.36/0.59 (define @t73 () (@list @t71)) % 0.36/0.59 (define @t74 () (tptp.apply @t63 @t2 @t22)) % 0.36/0.59 (define @t75 () (not (tptp.apply @t63 @t17 @t22))) % 0.36/0.59 (define @t76 () (not (tptp.apply @t63 @t2 @t17))) % 0.36/0.59 (define @t77 () (not (tptp.member @t17 @t64))) % 0.36/0.59 (define @t78 () (tptp.member @t2 @t64)) % 0.36/0.59 (define @t79 () (not @t78)) % 0.36/0.59 (define @t80 () (forall @t35 (or @t79 @t77 (not (tptp.member @t22 @t64)) @t76 @t75 @t74))) % 0.36/0.59 (define @t81 () (tptp.apply @t63 @t17 @t2)) % 0.36/0.59 (define @t82 () (forall @t24 (or @t79 @t77 @t76 @t81))) % 0.36/0.59 (define @t83 () (tptp.apply @t63 @t2 @t2)) % 0.36/0.59 (define @t84 () (forall @t6 (or @t79 @t83))) % 0.36/0.59 (define @t85 () (and @t84 @t82 @t80)) % 0.36/0.59 (define @t86 () (= @t65 @t85)) % 0.36/0.59 (define @t87 () (@list false false)) % 0.36/0.59 (define @t88 () (not @t85)) % 0.36/0.59 (define @t89 () (@list false)) % 0.36/0.59 (define @t90 () (@list @t85)) % 0.36/0.59 (define @t91 () (not (tptp.member @t2 @t66))) % 0.36/0.59 (define @t92 () (forall @t6 (or @t91 @t78))) % 0.36/0.59 (define @t93 () (= @t68 @t92)) % 0.36/0.59 (define @t94 () (not (tptp.member @t17 @t66))) % 0.36/0.59 (define @t95 () (forall @t35 (or @t91 @t94 (not (tptp.member @t22 @t66)) @t76 @t75 @t74))) % 0.36/0.59 (define @t96 () (@quantifiers_skolemize @t95 2)) % 0.36/0.59 (define @t97 () (forall @t24 (or @t91 @t94 @t76 @t81))) % 0.36/0.59 (define @t98 () (@quantifiers_skolemize @t97 0)) % 0.36/0.59 (define @t99 () (tptp.member @t98 @t66)) % 0.36/0.59 (define @t100 () (@quantifiers_skolemize @t97 1)) % 0.36/0.59 (define @t101 () (tptp.apply @t63 @t100 @t98)) % 0.36/0.59 (define @t102 () (tptp.apply @t63 @t98 @t100)) % 0.36/0.59 (define @t103 () (not @t102)) % 0.36/0.59 (define @t104 () (tptp.member @t100 @t66)) % 0.36/0.59 (define @t105 () (not @t104)) % 0.36/0.59 (define @t106 () (not @t99)) % 0.36/0.59 (define @t107 () (or @t106 @t105 @t103 @t101)) % 0.36/0.59 (define @t108 () (tptp.member @t98 @t64)) % 0.36/0.59 (define @t109 () (or @t106 @t108)) % 0.36/0.59 (define @t110 () (tptp.member @t100 @t64)) % 0.36/0.59 (define @t111 () (or @t105 @t110)) % 0.36/0.59 (define @t112 () (not @t110)) % 0.36/0.59 (define @t113 () (not @t108)) % 0.36/0.59 (define @t114 () (or @t113 @t112 @t103 @t101)) % 0.36/0.59 (define @t115 () (not @t107)) % 0.36/0.59 (define @t116 () (not @t97)) % 0.36/0.59 (define @t117 () (forall @t6 (or @t91 @t83))) % 0.36/0.59 (define @t118 () (@quantifiers_skolemize @t117 0)) % 0.36/0.59 (define @t119 () (tptp.member @t118 @t66)) % 0.36/0.59 (define @t120 () (tptp.apply @t63 @t118 @t118)) % 0.36/0.59 (define @t121 () (not @t119)) % 0.36/0.59 (define @t122 () (or @t121 @t120)) % 0.36/0.59 (define @t123 () (@list @t118)) % 0.36/0.59 (define @t124 () (tptp.member @t118 @t64)) % 0.36/0.59 (define @t125 () (or @t121 @t124)) % 0.36/0.59 (define @t126 () (not @t124)) % 0.36/0.59 (define @t127 () (or @t126 @t120)) % 0.36/0.59 (define @t128 () (not @t122)) % 0.36/0.59 (define @t129 () (not @t117)) % 0.36/0.59 (define @t130 () (and @t117 @t97 @t95)) % 0.36/0.59 (define @t131 () (= @t67 @t130)) % 0.36/0.59 (define @t132 () (not @t130)) % 0.36/0.59 (define @t133 () (@list true false)) % 0.36/0.59 (define @t134 () (not @t95)) % 0.36/0.59 (define @t135 () (@quantifiers_skolemize @t95 0)) % 0.36/0.59 (define @t136 () (tptp.apply @t63 @t135 @t96)) % 0.36/0.59 (define @t137 () (@quantifiers_skolemize @t95 1)) % 0.36/0.59 (define @t138 () (tptp.apply @t63 @t137 @t96)) % 0.36/0.59 (define @t139 () (not @t138)) % 0.36/0.59 (define @t140 () (tptp.apply @t63 @t135 @t137)) % 0.36/0.59 (define @t141 () (not @t140)) % 0.36/0.59 (define @t142 () (tptp.member @t96 @t66)) % 0.36/0.59 (define @t143 () (not @t142)) % 0.36/0.59 (define @t144 () (tptp.member @t137 @t66)) % 0.36/0.59 (define @t145 () (not @t144)) % 0.36/0.59 (define @t146 () (tptp.member @t135 @t66)) % 0.36/0.59 (define @t147 () (not @t146)) % 0.36/0.59 (define @t148 () (or @t147 @t145 @t143 @t141 @t139 @t136)) % 0.36/0.59 (define @t149 () (not @t148)) % 0.36/0.59 (define @t150 () (@list @t148)) % 0.36/0.59 (define @t151 () (tptp.member @t96 @t64)) % 0.36/0.59 (define @t152 () (or @t143 @t151)) % 0.36/0.59 (define @t153 () (tptp.member @t137 @t64)) % 0.36/0.59 (define @t154 () (or @t145 @t153)) % 0.36/0.59 (define @t155 () (tptp.member @t135 @t64)) % 0.36/0.59 (define @t156 () (or @t147 @t155)) % 0.36/0.59 (define @t157 () (not @t151)) % 0.36/0.59 (define @t158 () (not @t153)) % 0.36/0.59 (define @t159 () (not @t155)) % 0.36/0.59 (define @t160 () (or @t159 @t158 @t157 @t141 @t139 @t136)) % 0.36/0.59 (define @t161 () (not @t160)) % 0.36/0.59 (assume @p1 @t11) % 0.36/0.59 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.36/0.59 (assume @p3 (forall @t12 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.36/0.59 (assume @p4 (forall @t14 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) @t13))) % 0.36/0.59 (assume @p5 (forall @t14 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.36/0.59 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.36/0.59 (assume @p7 (forall (@list @t1 @t4 @t15) (= (tptp.member @t1 (tptp.difference @t15 @t4)) (and (tptp.member @t1 @t15) (not (tptp.member @t1 @t4)))))) % 0.36/0.59 (assume @p8 (forall @t12 (= (tptp.member @t2 (tptp.singleton @t4)) @t16))) % 0.36/0.59 (assume @p9 (forall @t14 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t16 (= @t2 @t1))))) % 0.36/0.59 (assume @p10 (forall @t12 (= (tptp.member @t2 (tptp.sum @t4)) @t21))) % 0.36/0.59 (assume @p11 (forall @t12 (= (tptp.member @t2 (tptp.product @t4)) (forall @t20 (=> @t19 @t18))))) % 0.36/0.59 (assume @p12 (forall @t10 (= (tptp.disjoint @t4 @t1) (not (exists @t6 @t13))))) % 0.36/0.59 (assume @p13 (forall (@list @t4 @t15) (= (tptp.partition @t4 @t15) (and (forall @t6 (=> @t5 @t26)) (forall @t6 (=> @t25 @t21)) (forall @t24 (=> @t23 (=> (exists (@list @t22) (and (tptp.member @t22 @t2) (tptp.member @t22 @t17))) (= @t2 @t17)))))))) % 0.36/0.59 (assume @p14 @t45) % 0.36/0.59 (assume @p15 (forall (@list @t27 @t15 @t4 @t2) (= (tptp.member @t2 (tptp.equivalence_class @t4 @t15 @t27)) (and @t25 (tptp.apply @t27 @t4 @t2))))) % 0.36/0.59 (assume @p16 (forall (@list @t27 @t15) (= (tptp.pre_order @t27 @t15) (and (forall @t6 (=> @t25 @t40)) (forall @t35 (=> (and @t25 (tptp.member @t17 @t15) (tptp.member @t22 @t15)) @t32)))))) % 0.36/0.59 (assume @p17 @t51) % 0.36/0.59 (assume @p18 true) % 0.36/0.59 (step @p19 :rule aci_norm :args ((= (or @t58 @t57) (or @t56 @t55 @t54 @t53 @t52 @t28)))) % 0.36/0.59 (step @p20 :rule aci_norm :args ((= (or (or @t53 @t52) @t28) @t57))) % 0.36/0.59 (step @p21 :rule refl :args (@t28)) % 0.36/0.59 (step @p22 :rule bool-and-de-morgan :args (@t30 @t29 true)) % 0.36/0.59 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or (not @t31) @t28))) % 0.36/0.59 (step @p24 :rule trans :premises (@p23 @p20)) % 0.36/0.59 (step @p25 :rule bool-impl-elim :args (@t31 @t28)) % 0.36/0.59 (step @p26 :rule trans :premises (@p25 @p24)) % 0.36/0.59 (step @p27 :rule aci_norm :args ((= (or @t56 (or @t55 @t54)) @t58))) % 0.36/0.59 (step @p28 :rule bool-and-de-morgan :args (@t19 @t33 true)) % 0.36/0.59 (step @p29 :rule refl :args (@t56)) % 0.36/0.59 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t56 (not (and @t19 @t33))))) % 0.36/0.59 (step @p31 :rule bool-and-de-morgan :args (@t5 @t19 (and @t33))) % 0.36/0.59 (step @p32 :rule trans :premises (@p31 @p30)) % 0.36/0.59 (step @p33 :rule trans :premises (@p32 @p27)) % 0.36/0.59 (step @p34 :rule nary_cong :premises (@p33 @p26) :args ((or (not @t34) @t32))) % 0.36/0.59 (step @p35 :rule trans :premises (@p34 @p19)) % 0.36/0.59 (step @p36 :rule bool-impl-elim :args (@t34 @t32)) % 0.36/0.59 (step @p37 :rule trans :premises (@p36 @p35)) % 0.36/0.59 (step @p38 :rule cong :premises (@p37) :args (@t36)) % 0.36/0.59 (step @p39 :rule aci_norm :args ((= (or (or @t56 @t55) (or @t53 @t37)) (or @t56 @t55 @t53 @t37)))) % 0.36/0.59 (step @p40 :rule bool-impl-elim :args (@t30 @t37)) % 0.36/0.59 (step @p41 :rule bool-and-de-morgan :args (@t5 @t19 true)) % 0.36/0.59 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or (not @t23) @t38))) % 0.36/0.59 (step @p43 :rule trans :premises (@p42 @p39)) % 0.36/0.59 (step @p44 :rule bool-impl-elim :args (@t23 @t38)) % 0.36/0.59 (step @p45 :rule trans :premises (@p44 @p43)) % 0.36/0.59 (step @p46 :rule cong :premises (@p45) :args (@t39)) % 0.36/0.59 (step @p47 :rule bool-impl-elim :args (@t5 @t40)) % 0.36/0.59 (step @p48 :rule cong :premises (@p47) :args (@t41)) % 0.36/0.59 (step @p49 :rule nary_cong :premises (@p48 @p46 @p38) :args (@t42)) % 0.36/0.59 (step @p50 :rule refl :args (@t43)) % 0.36/0.59 (step @p51 :rule cong :premises (@p50 @p49) :args (@t44)) % 0.36/0.59 (step @p52 :rule cong :premises (@p51) :args (@t45)) % 0.36/0.59 (step @p53 :rule eq_resolve :premises (@p14 @p52)) % 0.36/0.59 (step @p54 :rule instantiate :premises (@p53) :args ((@list @t64 @t63))) % 0.36/0.59 (step @p55 :rule aci_norm :args ((= (or (or @t60 @t59) @t46) @t61))) % 0.36/0.59 (step @p56 :rule refl :args (@t46)) % 0.36/0.59 (step @p57 :rule bool-and-de-morgan :args (@t47 @t26 true)) % 0.36/0.59 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or (not @t48) @t46))) % 0.36/0.59 (step @p59 :rule trans :premises (@p58 @p55)) % 0.36/0.59 (step @p60 :rule bool-impl-elim :args (@t48 @t46)) % 0.36/0.59 (step @p61 :rule trans :premises (@p60 @p59)) % 0.36/0.59 (step @p62 :rule cong :premises (@p61) :args (@t50)) % 0.36/0.59 (step @p63 :rule cong :premises (@p62) :args (@t51)) % 0.36/0.59 (step @p64 :rule eq_resolve :premises (@p17 @p63)) % 0.36/0.59 (step @p65 :rule skolemize :premises (@p64)) % 0.36/0.59 (step @p66 :rule bool-double-not-elim :args (@t65)) % 0.36/0.59 (step @p67 :rule refl :args (@t71)) % 0.36/0.59 (step @p68 :rule nary_cong :premises (@p67 @p66) :args ((or @t71 (not @t70)))) % 0.36/0.59 (step @p69 :rule cnf_or_neg :args (@t71 0)) % 0.36/0.59 (step @p70 :rule eq_resolve :premises (@p69 @p68)) % 0.36/0.59 (step @p71 :rule reordering :premises (@p70) :args ((or @t65 @t71))) % 0.36/0.59 (step @p72 :rule chain_m_resolution :premises (@p71 @p65) :args (@t65 @t72 @t73)) % 0.36/0.59 (step @p73 :rule cnf_equiv_pos1 :args (@t86)) % 0.36/0.59 (step @p74 :rule reordering :premises (@p73) :args ((or @t70 @t85 (not @t86)))) % 0.36/0.59 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p54) :args (@t85 @t87 (@list @t65 @t86))) % 0.36/0.59 (step @p76 :rule cnf_and_pos :args (@t85 2)) % 0.36/0.59 (step @p77 :rule reordering :premises (@p76) :args ((or @t80 @t88))) % 0.36/0.59 (step @p78 :rule chain_m_resolution :premises (@p77 @p75) :args (@t80 @t89 @t90)) % 0.36/0.59 (step @p79 :rule bool-impl-elim :args (@t5 @t3)) % 0.36/0.59 (step @p80 :rule cong :premises (@p79) :args (@t7)) % 0.36/0.59 (step @p81 :rule refl :args (@t8)) % 0.36/0.59 (step @p82 :rule cong :premises (@p81 @p80) :args (@t9)) % 0.36/0.59 (step @p83 :rule cong :premises (@p82) :args (@t11)) % 0.36/0.59 (step @p84 :rule eq_resolve :premises (@p1 @p83)) % 0.36/0.59 (step @p85 :rule instantiate :premises (@p84) :args ((@list @t66 @t64))) % 0.36/0.59 (step @p86 :rule bool-double-not-elim :args (@t68)) % 0.36/0.59 (step @p87 :rule nary_cong :premises (@p67 @p86) :args ((or @t71 (not @t69)))) % 0.36/0.59 (step @p88 :rule cnf_or_neg :args (@t71 1)) % 0.36/0.59 (step @p89 :rule eq_resolve :premises (@p88 @p87)) % 0.36/0.60 (step @p90 :rule reordering :premises (@p89) :args ((or @t68 @t71))) % 0.36/0.60 (step @p91 :rule chain_m_resolution :premises (@p90 @p65) :args (@t68 @t72 @t73)) % 0.36/0.60 (step @p92 :rule cnf_equiv_pos1 :args (@t93)) % 0.36/0.60 (step @p93 :rule reordering :premises (@p92) :args ((or @t69 @t92 (not @t93)))) % 0.36/0.60 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p85) :args (@t92 @t87 (@list @t68 @t93))) % 0.36/0.60 (step @p95 :rule instantiate :premises (@p94) :args ((@list @t96))) % 0.36/0.60 (step @p96 :rule bool-double-not-elim :args (@t99)) % 0.36/0.60 (step @p97 :rule refl :args (@t107)) % 0.36/0.60 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t107 (not @t106)))) % 0.36/0.60 (step @p99 :rule cnf_or_neg :args (@t107 0)) % 0.36/0.60 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 0.36/0.60 (step @p101 :rule reordering :premises (@p100) :args ((or @t99 @t107))) % 0.36/0.60 (step @p102 :rule bool-double-not-elim :args (@t104)) % 0.36/0.60 (step @p103 :rule nary_cong :premises (@p97 @p102) :args ((or @t107 (not @t105)))) % 0.36/0.60 (step @p104 :rule cnf_or_neg :args (@t107 1)) % 0.36/0.60 (step @p105 :rule eq_resolve :premises (@p104 @p103)) % 0.36/0.60 (step @p106 :rule reordering :premises (@p105) :args ((or @t104 @t107))) % 0.36/0.60 (step @p107 :rule bool-double-not-elim :args (@t102)) % 0.36/0.60 (step @p108 :rule nary_cong :premises (@p97 @p107) :args ((or @t107 (not @t103)))) % 0.36/0.60 (step @p109 :rule cnf_or_neg :args (@t107 2)) % 0.36/0.60 (step @p110 :rule eq_resolve :premises (@p109 @p108)) % 0.36/0.60 (step @p111 :rule reordering :premises (@p110) :args ((or @t102 @t107))) % 0.36/0.60 (step @p112 :rule cnf_or_neg :args (@t107 3)) % 0.36/0.60 (step @p113 :rule instantiate :premises (@p94) :args ((@list @t98))) % 0.36/0.60 (step @p114 :rule cnf_or_pos :args (@t109)) % 0.36/0.60 (step @p115 :rule reordering :premises (@p114) :args ((or @t106 @t108 (not @t109)))) % 0.36/0.60 (step @p116 :rule instantiate :premises (@p94) :args ((@list @t100))) % 0.36/0.60 (step @p117 :rule cnf_or_pos :args (@t111)) % 0.36/0.60 (step @p118 :rule reordering :premises (@p117) :args ((or @t105 @t110 (not @t111)))) % 0.36/0.60 (step @p119 :rule cnf_and_pos :args (@t85 1)) % 0.36/0.60 (step @p120 :rule reordering :premises (@p119) :args ((or @t82 @t88))) % 0.36/0.60 (step @p121 :rule chain_m_resolution :premises (@p120 @p75) :args (@t82 @t89 @t90)) % 0.36/0.60 (step @p122 :rule instantiate :premises (@p121) :args ((@list @t98 @t100))) % 0.36/0.60 (step @p123 :rule cnf_or_pos :args (@t114)) % 0.36/0.60 (step @p124 :rule reordering :premises (@p123) :args ((or @t103 @t101 @t113 @t112 (not @t114)))) % 0.36/0.60 (step @p125 :rule chain_m_resolution :premises (@p124 @p122 @p118 @p116 @p115 @p113 @p112 @p111 @p106 @p101) :args (@t107 (@list false false false false false true false false false) (@list @t114 @t110 @t111 @t108 @t109 @t101 @t102 @t104 @t99))) % 0.36/0.60 (step @p126 :rule refl :args (@t115)) % 0.36/0.60 (step @p127 :rule bool-double-not-elim :args (@t97)) % 0.36/0.60 (step @p128 :rule nary_cong :premises (@p127 @p126) :args ((or (not @t116) @t115))) % 0.36/0.60 (assume-push @p234 @t116) % 0.36/0.60 (step @p130 :rule skolemize :premises (@p234)) % 0.36/0.60 (step-pop @p235 :rule scope :premises (@p130)) % 0.36/0.60 (step @p131 :rule process_scope :premises (@p235) :args (@t115)) % 0.36/0.60 (step @p133 :rule implies_elim :premises (@p131)) % 0.36/0.60 (step @p134 :rule eq_resolve :premises (@p133 @p128)) % 0.36/0.60 (step @p135 :rule chain_m_resolution :premises (@p134 @p125) :args (@t97 @t89 (@list @t107))) % 0.36/0.60 (step @p136 :rule bool-double-not-elim :args (@t119)) % 0.36/0.60 (step @p137 :rule refl :args (@t122)) % 0.36/0.60 (step @p138 :rule nary_cong :premises (@p137 @p136) :args ((or @t122 (not @t121)))) % 0.36/0.60 (step @p139 :rule cnf_or_neg :args (@t122 0)) % 0.36/0.60 (step @p140 :rule eq_resolve :premises (@p139 @p138)) % 0.36/0.60 (step @p141 :rule reordering :premises (@p140) :args ((or @t119 @t122))) % 0.36/0.60 (step @p142 :rule cnf_or_neg :args (@t122 1)) % 0.36/0.60 (step @p143 :rule instantiate :premises (@p94) :args (@t123)) % 0.36/0.60 (step @p144 :rule cnf_or_pos :args (@t125)) % 0.36/0.60 (step @p145 :rule reordering :premises (@p144) :args ((or @t121 @t124 (not @t125)))) % 0.36/0.60 (step @p146 :rule cnf_and_pos :args (@t85 0)) % 0.36/0.60 (step @p147 :rule reordering :premises (@p146) :args ((or @t84 @t88))) % 0.36/0.60 (step @p148 :rule chain_m_resolution :premises (@p147 @p75) :args (@t84 @t89 @t90)) % 0.36/0.60 (step @p149 :rule instantiate :premises (@p148) :args (@t123)) % 0.36/0.60 (step @p150 :rule cnf_or_pos :args (@t127)) % 0.36/0.60 (step @p151 :rule reordering :premises (@p150) :args ((or @t120 @t126 (not @t127)))) % 0.36/0.60 (step @p152 :rule chain_m_resolution :premises (@p151 @p149 @p145 @p143 @p142 @p141) :args (@t122 (@list false false false true false) (@list @t127 @t124 @t125 @t120 @t119))) % 0.36/0.60 (step @p153 :rule refl :args (@t128)) % 0.36/0.60 (step @p154 :rule bool-double-not-elim :args (@t117)) % 0.36/0.60 (step @p155 :rule nary_cong :premises (@p154 @p153) :args ((or (not @t129) @t128))) % 0.36/0.60 (assume-push @p236 @t129) % 0.36/0.60 (step @p157 :rule skolemize :premises (@p236)) % 0.36/0.60 (step-pop @p237 :rule scope :premises (@p157)) % 0.36/0.60 (step @p158 :rule process_scope :premises (@p237) :args (@t128)) % 0.36/0.60 (step @p160 :rule implies_elim :premises (@p158)) % 0.36/0.60 (step @p161 :rule eq_resolve :premises (@p160 @p155)) % 0.36/0.60 (step @p162 :rule chain_m_resolution :premises (@p161 @p152) :args (@t117 @t89 (@list @t122))) % 0.36/0.60 (step @p163 :rule instantiate :premises (@p53) :args ((@list @t66 @t63))) % 0.36/0.60 (step @p164 :rule cnf_or_neg :args (@t71 2)) % 0.36/0.60 (step @p165 :rule chain_m_resolution :premises (@p164 @p65) :args ((not @t67) @t72 @t73)) % 0.36/0.60 (step @p166 :rule cnf_equiv_pos2 :args (@t131)) % 0.36/0.60 (step @p167 :rule reordering :premises (@p166) :args ((or @t67 @t132 (not @t131)))) % 0.36/0.60 (step @p168 :rule chain_m_resolution :premises (@p167 @p165 @p163) :args (@t132 @t133 (@list @t67 @t131))) % 0.36/0.60 (step @p169 :rule cnf_and_neg :args (@t130)) % 0.36/0.60 (step @p170 :rule chain_m_resolution :premises (@p169 @p168 @p162 @p135) :args (@t134 (@list true false false) (@list @t130 @t117 @t97))) % 0.36/0.60 (step @p171 :rule refl :args (@t149)) % 0.36/0.60 (step @p172 :rule bool-double-not-elim :args (@t95)) % 0.36/0.60 (step @p173 :rule nary_cong :premises (@p172 @p171) :args ((or (not @t134) @t149))) % 0.36/0.60 (assume-push @p238 @t134) % 0.36/0.60 (step @p175 :rule skolemize :premises (@p238)) % 0.36/0.60 (step-pop @p239 :rule scope :premises (@p175)) % 0.36/0.60 (step @p176 :rule process_scope :premises (@p239) :args (@t149)) % 0.36/0.60 (step @p178 :rule implies_elim :premises (@p176)) % 0.36/0.60 (step @p179 :rule eq_resolve :premises (@p178 @p173)) % 0.36/0.60 (step @p180 :rule chain_m_resolution :premises (@p179 @p170) :args (@t149 @t72 (@list @t95))) % 0.36/0.60 (step @p181 :rule bool-double-not-elim :args (@t142)) % 0.36/0.60 (step @p182 :rule refl :args (@t148)) % 0.36/0.60 (step @p183 :rule nary_cong :premises (@p182 @p181) :args ((or @t148 (not @t143)))) % 0.36/0.60 (step @p184 :rule cnf_or_neg :args (@t148 2)) % 0.36/0.60 (step @p185 :rule eq_resolve :premises (@p184 @p183)) % 0.36/0.60 (step @p186 :rule reordering :premises (@p185) :args ((or @t142 @t148))) % 0.36/0.60 (step @p187 :rule chain_m_resolution :premises (@p186 @p180) :args (@t142 @t72 @t150)) % 0.36/0.60 (step @p188 :rule cnf_or_pos :args (@t152)) % 0.36/0.60 (step @p189 :rule reordering :premises (@p188) :args ((or @t143 @t151 (not @t152)))) % 0.36/0.60 (step @p190 :rule chain_m_resolution :premises (@p189 @p187 @p95) :args (@t151 @t87 (@list @t142 @t152))) % 0.36/0.60 (step @p191 :rule instantiate :premises (@p94) :args ((@list @t137))) % 0.36/0.60 (step @p192 :rule bool-double-not-elim :args (@t144)) % 0.36/0.60 (step @p193 :rule nary_cong :premises (@p182 @p192) :args ((or @t148 (not @t145)))) % 0.36/0.60 (step @p194 :rule cnf_or_neg :args (@t148 1)) % 0.36/0.60 (step @p195 :rule eq_resolve :premises (@p194 @p193)) % 0.36/0.60 (step @p196 :rule reordering :premises (@p195) :args ((or @t144 @t148))) % 0.36/0.60 (step @p197 :rule chain_m_resolution :premises (@p196 @p180) :args (@t144 @t72 @t150)) % 0.36/0.60 (step @p198 :rule cnf_or_pos :args (@t154)) % 0.36/0.60 (step @p199 :rule reordering :premises (@p198) :args ((or @t145 @t153 (not @t154)))) % 0.36/0.60 (step @p200 :rule chain_m_resolution :premises (@p199 @p197 @p191) :args (@t153 @t87 (@list @t144 @t154))) % 0.36/0.60 (step @p201 :rule instantiate :premises (@p94) :args ((@list @t135))) % 0.36/0.60 (step @p202 :rule bool-double-not-elim :args (@t146)) % 0.36/0.60 (step @p203 :rule nary_cong :premises (@p182 @p202) :args ((or @t148 (not @t147)))) % 0.36/0.60 (step @p204 :rule cnf_or_neg :args (@t148 0)) % 0.36/0.60 (step @p205 :rule eq_resolve :premises (@p204 @p203)) % 0.36/0.60 (step @p206 :rule reordering :premises (@p205) :args ((or @t146 @t148))) % 0.36/0.60 (step @p207 :rule chain_m_resolution :premises (@p206 @p180) :args (@t146 @t72 @t150)) % 0.36/0.60 (step @p208 :rule cnf_or_pos :args (@t156)) % 0.36/0.60 (step @p209 :rule reordering :premises (@p208) :args ((or @t147 @t155 (not @t156)))) % 0.36/0.60 (step @p210 :rule chain_m_resolution :premises (@p209 @p207 @p201) :args (@t155 @t87 (@list @t146 @t156))) % 0.36/0.60 (step @p211 :rule cnf_or_neg :args (@t148 5)) % 0.36/0.60 (step @p212 :rule chain_m_resolution :premises (@p211 @p180) :args ((not @t136) @t72 @t150)) % 0.36/0.60 (step @p213 :rule bool-double-not-elim :args (@t138)) % 0.36/0.60 (step @p214 :rule nary_cong :premises (@p182 @p213) :args ((or @t148 (not @t139)))) % 0.36/0.60 (step @p215 :rule cnf_or_neg :args (@t148 4)) % 0.36/0.60 (step @p216 :rule eq_resolve :premises (@p215 @p214)) % 0.36/0.60 (step @p217 :rule reordering :premises (@p216) :args ((or @t138 @t148))) % 0.36/0.60 (step @p218 :rule chain_m_resolution :premises (@p217 @p180) :args (@t138 @t72 @t150)) % 0.36/0.60 (step @p219 :rule bool-double-not-elim :args (@t140)) % 0.36/0.60 (step @p220 :rule nary_cong :premises (@p182 @p219) :args ((or @t148 (not @t141)))) % 0.36/0.60 (step @p221 :rule cnf_or_neg :args (@t148 3)) % 0.36/0.60 (step @p222 :rule eq_resolve :premises (@p221 @p220)) % 0.36/0.60 (step @p223 :rule reordering :premises (@p222) :args ((or @t140 @t148))) % 0.36/0.60 (step @p224 :rule chain_m_resolution :premises (@p223 @p180) :args (@t140 @t72 @t150)) % 0.36/0.60 (step @p225 :rule cnf_or_pos :args (@t160)) % 0.36/0.60 (step @p226 :rule reordering :premises (@p225) :args ((or @t141 @t139 @t136 @t159 @t158 @t157 @t161))) % 0.36/0.60 (step @p227 :rule chain_m_resolution :premises (@p226 @p224 @p218 @p212 @p210 @p200 @p190) :args (@t161 (@list false false true false false false) (@list @t140 @t138 @t136 @t155 @t153 @t151))) % 0.36/0.60 (assume-push @p240 @t80) % 0.36/0.60 (step @p229 :rule instantiate :premises (@p78) :args ((@list @t135 @t137 @t96))) % 0.36/0.60 (step-pop @p241 :rule scope :premises (@p229)) % 0.36/0.60 (step @p230 :rule process_scope :premises (@p241) :args (@t160)) % 0.36/0.60 (step @p232 :rule implies_elim :premises (@p230)) % 0.36/0.60 (step @p233 false :rule chain_m_resolution :premises (@p232 @p227 @p78) :args (false @t133 (@list @t160 @t80))) % 0.36/0.60 ) % 0.36/0.60 % SZS output end Proof % 0.36/0.60 % cvc5 exiting %------------------------------------------------------------------------------