%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET802+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 : n022.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 08:48:41 AM UTC 2026 % Result : Theorem 0.39s 0.60s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET802+4 : TPTP v9.2.1. Released v3.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n022.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 16:12:38 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.60 % SZS status Theorem % 0.39/0.60 % SZS output start Proof % 0.39/0.60 ( % 0.39/0.60 (declare-sort $$unsorted 0) % 0.39/0.60 (declare-const tptp.min (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.max (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.lower_bound (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.order (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.least (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.greatest (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.upper_bound (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.empty_set $$unsorted) % 0.39/0.60 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.total_order (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.60 (define @t1 () (@var "B" $$unsorted)) % 0.39/0.60 (define @t2 () (@var "X" $$unsorted)) % 0.39/0.60 (define @t3 () (tptp.member @t2 @t1)) % 0.39/0.60 (define @t4 () (@var "A" $$unsorted)) % 0.39/0.60 (define @t5 () (tptp.member @t2 @t4)) % 0.39/0.60 (define @t6 () (@list @t2)) % 0.39/0.60 (define @t7 () (tptp.subset @t4 @t1)) % 0.39/0.60 (define @t8 () (@list @t4 @t1)) % 0.39/0.60 (define @t9 () (@list @t2 @t4)) % 0.39/0.60 (define @t10 () (@list @t2 @t4 @t1)) % 0.39/0.60 (define @t11 () (@var "E" $$unsorted)) % 0.39/0.60 (define @t12 () (= @t2 @t4)) % 0.39/0.60 (define @t13 () (@var "Y" $$unsorted)) % 0.39/0.60 (define @t14 () (tptp.member @t2 @t13)) % 0.39/0.60 (define @t15 () (tptp.member @t13 @t4)) % 0.39/0.60 (define @t16 () (@list @t13)) % 0.39/0.60 (define @t17 () (@var "Z" $$unsorted)) % 0.39/0.60 (define @t18 () (@var "R" $$unsorted)) % 0.39/0.60 (define @t19 () (tptp.apply @t18 @t2 @t13)) % 0.39/0.60 (define @t20 () (tptp.member @t13 @t11)) % 0.39/0.60 (define @t21 () (tptp.member @t2 @t11)) % 0.39/0.60 (define @t22 () (tptp.apply @t18 @t13 @t2)) % 0.39/0.60 (define @t23 () (and @t21 @t20)) % 0.39/0.60 (define @t24 () (@list @t2 @t13)) % 0.39/0.60 (define @t25 () (tptp.order @t18 @t11)) % 0.39/0.60 (define @t26 () (@list @t18 @t11)) % 0.39/0.60 (define @t27 () (@var "M" $$unsorted)) % 0.39/0.60 (define @t28 () (tptp.apply @t18 @t2 @t27)) % 0.39/0.60 (define @t29 () (forall @t6 (=> @t21 @t28))) % 0.39/0.60 (define @t30 () (@list @t18 @t11 @t27)) % 0.39/0.60 (define @t31 () (tptp.apply @t18 @t27 @t2)) % 0.39/0.60 (define @t32 () (forall @t6 (=> @t21 @t31))) % 0.39/0.60 (define @t33 () (tptp.lower_bound @t27 @t18 @t11)) % 0.39/0.60 (define @t34 () (= @t33 @t32)) % 0.39/0.60 (define @t35 () (forall @t30 @t34)) % 0.39/0.60 (define @t36 () (tptp.member @t27 @t11)) % 0.39/0.60 (define @t37 () (and @t36 @t32)) % 0.39/0.60 (define @t38 () (tptp.least @t27 @t18 @t11)) % 0.39/0.60 (define @t39 () (= @t38 @t37)) % 0.39/0.60 (define @t40 () (forall @t30 @t39)) % 0.39/0.60 (define @t41 () (= @t27 @t2)) % 0.39/0.60 (define @t42 () (@list @t27)) % 0.39/0.60 (define @t43 () (tptp.member @t4 @t2)) % 0.39/0.60 (define @t44 () (@list @t4 @t2 @t18 @t11)) % 0.39/0.60 (define @t45 () (tptp.apply @t18 @t27 @t4)) % 0.39/0.60 (define @t46 () (tptp.lower_bound @t27 @t18 @t2)) % 0.39/0.60 (define @t47 () (and @t36 @t46)) % 0.39/0.60 (define @t48 () (forall @t42 (=> @t47 @t45))) % 0.39/0.60 (define @t49 () (tptp.lower_bound @t4 @t18 @t2)) % 0.39/0.60 (define @t50 () (and @t43 @t49 @t48)) % 0.39/0.60 (define @t51 () (tptp.greatest_lower_bound @t4 @t2 @t18 @t11)) % 0.39/0.60 (define @t52 () (= @t51 @t50)) % 0.39/0.60 (define @t53 () (forall @t44 @t52)) % 0.39/0.60 (define @t54 () (forall @t42 (= (tptp.least @t27 @t18 @t2) (and (tptp.member @t27 @t2) (tptp.greatest_lower_bound @t27 @t2 @t18 @t11))))) % 0.39/0.60 (define @t55 () (tptp.subset @t2 @t11)) % 0.39/0.60 (define @t56 () (forall @t6 (=> @t55 @t54))) % 0.39/0.60 (define @t57 () (=> @t25 @t56)) % 0.39/0.60 (define @t58 () (forall @t26 @t57)) % 0.39/0.60 (define @t59 () (not @t58)) % 0.39/0.60 (define @t60 () (@var "BOUND_VARIABLE_7760" $$unsorted)) % 0.39/0.60 (define @t61 () (@var "BOUND_VARIABLE_7762" $$unsorted)) % 0.39/0.60 (define @t62 () (= (tptp.least @t61 @t18 @t60) (and (tptp.member @t61 @t60) (tptp.greatest_lower_bound @t61 @t60 @t18 @t11)))) % 0.39/0.60 (define @t63 () (not (tptp.subset @t60 @t11))) % 0.39/0.60 (define @t64 () (not @t25)) % 0.39/0.60 (define @t65 () (or @t64 @t63 @t62)) % 0.39/0.60 (define @t66 () (@list @t18 @t11 @t60 @t61)) % 0.39/0.60 (define @t67 () (forall @t66 @t65)) % 0.39/0.60 (define @t68 () (@quantifiers_skolemize @t67 3)) % 0.39/0.60 (define @t69 () (@quantifiers_skolemize @t67 0)) % 0.39/0.60 (define @t70 () (@quantifiers_skolemize @t67 2)) % 0.39/0.60 (define @t71 () (@quantifiers_skolemize @t67 1)) % 0.39/0.60 (define @t72 () (forall @t42 (or (not (tptp.member @t27 @t71)) (not (tptp.lower_bound @t27 @t69 @t70)) (tptp.apply @t69 @t27 @t68)))) % 0.39/0.60 (define @t73 () (@quantifiers_skolemize @t72 0)) % 0.39/0.60 (define @t74 () (tptp.lower_bound @t68 @t69 @t70)) % 0.39/0.60 (define @t75 () (not (tptp.member @t2 @t70))) % 0.39/0.60 (define @t76 () (forall @t6 (or @t75 (tptp.apply @t69 @t68 @t2)))) % 0.39/0.60 (define @t77 () (forall @t30 (= @t33 (forall @t6 (or (not @t21) @t31))))) % 0.39/0.60 (define @t78 () (= @t74 @t76)) % 0.39/0.60 (define @t79 () (@list @t69 @t70 @t68)) % 0.39/0.60 (define @t80 () (= @t76 @t74)) % 0.39/0.60 (define @t81 () (@list false)) % 0.39/0.60 (define @t82 () (or @t63 @t62)) % 0.39/0.60 (define @t83 () (or @t64 @t82)) % 0.39/0.60 (define @t84 () (forall @t66 @t83)) % 0.39/0.60 (define @t85 () (@list @t60 @t61)) % 0.39/0.60 (define @t86 () (forall @t85 @t83)) % 0.39/0.60 (define @t87 () (forall @t85 @t82)) % 0.39/0.60 (define @t88 () (@var "BOUND_VARIABLE_7745" $$unsorted)) % 0.39/0.60 (define @t89 () (or @t64 @t87)) % 0.39/0.60 (define @t90 () (= (tptp.least @t88 @t18 @t2) (and (tptp.member @t88 @t2) (tptp.greatest_lower_bound @t88 @t2 @t18 @t11)))) % 0.39/0.60 (define @t91 () (not @t55)) % 0.39/0.60 (define @t92 () (or @t91 @t90)) % 0.39/0.60 (define @t93 () (forall (@list @t2 @t88) @t92)) % 0.39/0.60 (define @t94 () (@list @t88)) % 0.39/0.60 (define @t95 () (forall @t94 @t92)) % 0.39/0.60 (define @t96 () (forall @t94 @t90)) % 0.39/0.60 (define @t97 () (or @t91 @t96)) % 0.39/0.60 (define @t98 () (tptp.greatest_lower_bound @t68 @t70 @t69 @t71)) % 0.39/0.60 (define @t99 () (tptp.member @t68 @t70)) % 0.39/0.60 (define @t100 () (and @t99 @t98)) % 0.39/0.60 (define @t101 () (tptp.least @t68 @t69 @t70)) % 0.39/0.60 (define @t102 () (= @t101 @t100)) % 0.39/0.60 (define @t103 () (or (not (tptp.order @t69 @t71)) (not (tptp.subset @t70 @t71)) @t102)) % 0.39/0.60 (define @t104 () (@list true)) % 0.39/0.60 (define @t105 () (and @t99 @t76)) % 0.39/0.60 (define @t106 () (= @t101 @t105)) % 0.39/0.60 (define @t107 () (not @t106)) % 0.39/0.60 (define @t108 () (not @t105)) % 0.39/0.60 (define @t109 () (not @t100)) % 0.39/0.60 (define @t110 () (not @t76)) % 0.39/0.60 (define @t111 () (not @t99)) % 0.39/0.60 (define @t112 () (not @t46)) % 0.39/0.60 (define @t113 () (not @t36)) % 0.39/0.60 (define @t114 () (and @t99 @t74 @t72)) % 0.39/0.60 (define @t115 () (= @t98 @t114)) % 0.39/0.60 (define @t116 () (not @t115)) % 0.39/0.60 (define @t117 () (not @t98)) % 0.39/0.60 (define @t118 () (not @t80)) % 0.39/0.60 (define @t119 () (not @t74)) % 0.39/0.60 (define @t120 () (not @t114)) % 0.39/0.60 (define @t121 () (@list false false)) % 0.39/0.60 (define @t122 () (@list @t105)) % 0.39/0.60 (define @t123 () (@list true false)) % 0.39/0.60 (define @t124 () (not @t72)) % 0.39/0.60 (define @t125 () (tptp.lower_bound @t73 @t69 @t70)) % 0.39/0.60 (define @t126 () (tptp.apply @t69 @t73 @t68)) % 0.39/0.60 (define @t127 () (not @t125)) % 0.39/0.60 (define @t128 () (or (not (tptp.member @t73 @t71)) @t127 @t126)) % 0.39/0.60 (define @t129 () (@list @t128)) % 0.39/0.60 (define @t130 () (forall @t6 (or @t75 (tptp.apply @t69 @t73 @t2)))) % 0.39/0.60 (define @t131 () (= @t125 @t130)) % 0.39/0.60 (define @t132 () (or @t111 @t126)) % 0.39/0.60 (define @t133 () (not @t132)) % 0.39/0.60 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 0.39/0.60 (assume @p2 (forall @t8 (= (tptp.equal_set @t4 @t1) (and @t7 (tptp.subset @t1 @t4))))) % 0.39/0.60 (assume @p3 (forall @t9 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.39/0.60 (assume @p4 (forall @t10 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.39/0.60 (assume @p5 (forall @t10 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.39/0.60 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.39/0.60 (assume @p7 (forall (@list @t1 @t4 @t11) (= (tptp.member @t1 (tptp.difference @t11 @t4)) (and (tptp.member @t1 @t11) (not (tptp.member @t1 @t4)))))) % 0.39/0.60 (assume @p8 (forall @t9 (= (tptp.member @t2 (tptp.singleton @t4)) @t12))) % 0.39/0.60 (assume @p9 (forall @t10 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t12 (= @t2 @t1))))) % 0.39/0.60 (assume @p10 (forall @t9 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t16 (and @t15 @t14))))) % 0.39/0.60 (assume @p11 (forall @t9 (= (tptp.member @t2 (tptp.product @t4)) (forall @t16 (=> @t15 @t14))))) % 0.39/0.60 (assume @p12 (forall @t26 (= @t25 (and (forall @t6 (=> @t21 (tptp.apply @t18 @t2 @t2))) (forall @t24 (=> @t23 (=> (and @t19 @t22) (= @t2 @t13)))) (forall (@list @t2 @t13 @t17) (=> (and @t21 @t20 (tptp.member @t17 @t11)) (=> (and @t19 (tptp.apply @t18 @t13 @t17)) (tptp.apply @t18 @t2 @t17)))))))) % 0.39/0.60 (assume @p13 (forall @t26 (= (tptp.total_order @t18 @t11) (and @t25 (forall @t24 (=> @t23 (or @t19 @t22))))))) % 0.39/0.60 (assume @p14 (forall @t30 (= (tptp.upper_bound @t27 @t18 @t11) @t29))) % 0.39/0.60 (assume @p15 @t35) % 0.39/0.60 (assume @p16 (forall @t30 (= (tptp.greatest @t27 @t18 @t11) (and @t36 @t29)))) % 0.39/0.60 (assume @p17 @t40) % 0.39/0.60 (assume @p18 (forall @t30 (= (tptp.max @t27 @t18 @t11) (and @t36 (forall @t6 (=> (and @t21 @t31) @t41)))))) % 0.39/0.60 (assume @p19 (forall @t30 (= (tptp.min @t27 @t18 @t11) (and @t36 (forall @t6 (=> (and @t21 @t28) @t41)))))) % 0.39/0.60 (assume @p20 (forall @t44 (= (tptp.least_upper_bound @t4 @t2 @t18 @t11) (and @t43 (tptp.upper_bound @t4 @t18 @t2) (forall @t42 (=> (and @t36 (tptp.upper_bound @t27 @t18 @t2)) (tptp.apply @t18 @t4 @t27))))))) % 0.39/0.60 (assume @p21 @t53) % 0.39/0.60 (assume @p22 @t59) % 0.39/0.60 (assume @p23 true) % 0.39/0.60 (step @p24 :rule bool-impl-elim :args (@t21 @t31)) % 0.39/0.60 (step @p25 :rule cong :premises (@p24) :args (@t32)) % 0.39/0.60 (step @p26 :rule refl :args (@t33)) % 0.39/0.60 (step @p27 :rule cong :premises (@p26 @p25) :args (@t34)) % 0.39/0.60 (step @p28 :rule cong :premises (@p27) :args (@t35)) % 0.39/0.60 (step @p29 :rule eq_resolve :premises (@p15 @p28)) % 0.39/0.60 (step @p30 :rule instantiate :premises (@p29) :args ((@list @t69 @t70 @t73))) % 0.39/0.60 (step @p31 :rule eq-symm :args (@t74 @t76)) % 0.39/0.60 (step @p32 :rule refl :args (@t77)) % 0.39/0.60 (step @p33 :rule cong :premises (@p32 @p31) :args ((=> @t77 @t78))) % 0.39/0.60 (assume-push @p161 @t77) % 0.39/0.60 (step @p35 :rule instantiate :premises (@p29) :args (@t79)) % 0.39/0.60 (step-pop @p162 :rule scope :premises (@p35)) % 0.39/0.60 (step @p36 :rule process_scope :premises (@p162) :args (@t78)) % 0.39/0.60 (step @p38 :rule eq_resolve :premises (@p36 @p33)) % 0.39/0.60 (step @p39 :rule implies_elim :premises (@p38)) % 0.39/0.60 (step @p40 :rule chain_m_resolution :premises (@p39 @p29) :args (@t80 @t81 (@list @t77))) % 0.39/0.60 (step @p41 :rule refl :args (@t36)) % 0.39/0.60 (step @p42 :rule nary_cong :premises (@p41 @p25) :args (@t37)) % 0.39/0.60 (step @p43 :rule refl :args (@t38)) % 0.39/0.60 (step @p44 :rule cong :premises (@p43 @p42) :args (@t39)) % 0.39/0.60 (step @p45 :rule cong :premises (@p44) :args (@t40)) % 0.39/0.60 (step @p46 :rule eq_resolve :premises (@p17 @p45)) % 0.39/0.60 (step @p47 :rule instantiate :premises (@p46) :args (@t79)) % 0.39/0.60 (step @p48 :rule aci_norm :args ((= @t83 @t65))) % 0.39/0.60 (step @p49 :rule cong :premises (@p48) :args (@t84)) % 0.39/0.60 (step @p50 :rule quant-merge-prenex :args ((= (forall @t26 @t86) @t84))) % 0.39/0.60 (step @p51 :rule alpha_equiv :args (@t87 (@list @t60 @t61) (@list @t2 @t88))) % 0.39/0.60 (step @p52 :rule refl :args (@t64)) % 0.39/0.60 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t89)) % 0.39/0.60 (step @p54 :rule quant-miniscope-or :args ((= @t86 @t89))) % 0.39/0.60 (step @p55 :rule trans :premises (@p54 @p53)) % 0.39/0.60 (step @p56 :rule symm :premises (@p55)) % 0.39/0.60 (step @p57 :rule cong :premises (@p56) :args ((forall @t26 (or @t64 @t93)))) % 0.39/0.60 (step @p58 :rule trans :premises (@p57 @p50)) % 0.39/0.60 (step @p59 :rule trans :premises (@p58 @p49)) % 0.39/0.60 (step @p60 :rule bool-impl-elim :args (@t25 @t93)) % 0.39/0.60 (step @p61 :rule cong :premises (@p60) :args ((forall @t26 (=> @t25 @t93)))) % 0.39/0.60 (step @p62 :rule trans :premises (@p61 @p59)) % 0.39/0.60 (step @p63 :rule quant-merge-prenex :args ((= (forall @t6 @t95) @t93))) % 0.39/0.60 (step @p64 :rule alpha_equiv :args (@t96 (@list @t88) (@list @t27))) % 0.39/0.60 (step @p65 :rule refl :args (@t91)) % 0.39/0.60 (step @p66 :rule nary_cong :premises (@p65 @p64) :args (@t97)) % 0.39/0.60 (step @p67 :rule quant-miniscope-or :args ((= @t95 @t97))) % 0.39/0.60 (step @p68 :rule trans :premises (@p67 @p66)) % 0.39/0.60 (step @p69 :rule symm :premises (@p68)) % 0.39/0.60 (step @p70 :rule cong :premises (@p69) :args ((forall @t6 (or @t91 @t54)))) % 0.39/0.60 (step @p71 :rule trans :premises (@p70 @p63)) % 0.39/0.60 (step @p72 :rule bool-impl-elim :args (@t55 @t54)) % 0.39/0.60 (step @p73 :rule cong :premises (@p72) :args (@t56)) % 0.39/0.60 (step @p74 :rule trans :premises (@p73 @p71)) % 0.39/0.60 (step @p75 :rule refl :args (@t25)) % 0.39/0.60 (step @p76 :rule cong :premises (@p75 @p74) :args (@t57)) % 0.39/0.60 (step @p77 :rule cong :premises (@p76) :args (@t58)) % 0.39/0.61 (step @p78 :rule trans :premises (@p77 @p62)) % 0.39/0.61 (step @p79 :rule cong :premises (@p78) :args (@t59)) % 0.39/0.61 (step @p80 :rule eq_resolve :premises (@p22 @p79)) % 0.39/0.61 (step @p81 :rule skolemize :premises (@p80)) % 0.39/0.61 (step @p82 :rule cnf_or_neg :args (@t103 2)) % 0.39/0.61 (step @p83 :rule chain_m_resolution :premises (@p82 @p81) :args ((not @t102) @t104 (@list @t103))) % 0.39/0.61 (step @p84 :rule cnf_equiv_neg1 :args (@t102)) % 0.39/0.61 (step @p85 :rule reordering :premises (@p84) :args ((or @t101 @t100 @t102))) % 0.39/0.61 (step @p86 :rule cnf_equiv_pos2 :args (@t106)) % 0.39/0.61 (step @p87 :rule reordering :premises (@p86) :args ((or @t101 @t108 @t107))) % 0.39/0.61 (step @p88 :rule cnf_and_pos :args (@t100 0)) % 0.39/0.61 (step @p89 :rule reordering :premises (@p88) :args ((or @t99 @t109))) % 0.39/0.61 (step @p90 :rule cnf_and_pos :args (@t100 1)) % 0.39/0.61 (step @p91 :rule reordering :premises (@p90) :args ((or @t98 @t109))) % 0.39/0.61 (step @p92 :rule cnf_and_neg :args (@t105)) % 0.39/0.61 (step @p93 :rule reordering :premises (@p92) :args ((or @t111 @t105 @t110))) % 0.39/0.61 (step @p94 :rule aci_norm :args ((= (or (or @t113 @t112) @t45) (or @t113 @t112 @t45)))) % 0.39/0.61 (step @p95 :rule refl :args (@t45)) % 0.39/0.61 (step @p96 :rule bool-and-de-morgan :args (@t36 @t46 true)) % 0.39/0.61 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or (not @t47) @t45))) % 0.39/0.61 (step @p98 :rule trans :premises (@p97 @p94)) % 0.39/0.61 (step @p99 :rule bool-impl-elim :args (@t47 @t45)) % 0.39/0.61 (step @p100 :rule trans :premises (@p99 @p98)) % 0.39/0.61 (step @p101 :rule cong :premises (@p100) :args (@t48)) % 0.39/0.61 (step @p102 :rule refl :args (@t49)) % 0.39/0.61 (step @p103 :rule refl :args (@t43)) % 0.39/0.61 (step @p104 :rule nary_cong :premises (@p103 @p102 @p101) :args (@t50)) % 0.39/0.61 (step @p105 :rule refl :args (@t51)) % 0.39/0.61 (step @p106 :rule cong :premises (@p105 @p104) :args (@t52)) % 0.39/0.61 (step @p107 :rule cong :premises (@p106) :args (@t53)) % 0.39/0.61 (step @p108 :rule eq_resolve :premises (@p21 @p107)) % 0.39/0.61 (step @p109 :rule instantiate :premises (@p108) :args ((@list @t68 @t70 @t69 @t71))) % 0.39/0.61 (step @p110 :rule cnf_equiv_pos1 :args (@t115)) % 0.39/0.61 (step @p111 :rule reordering :premises (@p110) :args ((or @t117 @t114 @t116))) % 0.39/0.61 (step @p112 :rule cnf_equiv_pos2 :args (@t80)) % 0.39/0.61 (step @p113 :rule reordering :premises (@p112) :args ((or @t76 @t119 @t118))) % 0.39/0.61 (step @p114 :rule cnf_and_pos :args (@t114 1)) % 0.39/0.61 (step @p115 :rule reordering :premises (@p114) :args ((or @t74 @t120))) % 0.39/0.61 (step @p116 :rule chain_m_resolution :premises (@p115 @p113 @p40 @p111 @p109 @p93 @p91 @p89 @p87 @p47 @p85 @p83) :args (@t101 (@list true false false false true false false true false false true) (@list @t74 @t80 @t114 @t115 @t76 @t98 @t99 @t105 @t106 @t100 @t102))) % 0.39/0.61 (step @p117 :rule cnf_equiv_pos1 :args (@t106)) % 0.39/0.61 (step @p118 :rule reordering :premises (@p117) :args ((or (not @t101) @t105 @t107))) % 0.39/0.61 (step @p119 :rule chain_m_resolution :premises (@p118 @p116 @p47) :args (@t105 @t121 (@list @t101 @t106))) % 0.39/0.61 (step @p120 :rule cnf_and_pos :args (@t105 1)) % 0.39/0.61 (step @p121 :rule reordering :premises (@p120) :args ((or @t76 @t108))) % 0.39/0.61 (step @p122 :rule chain_m_resolution :premises (@p121 @p119) :args (@t76 @t81 @t122)) % 0.39/0.61 (step @p123 :rule cnf_equiv_pos1 :args (@t80)) % 0.39/0.61 (step @p124 :rule reordering :premises (@p123) :args ((or @t74 @t110 @t118))) % 0.39/0.61 (step @p125 :rule chain_m_resolution :premises (@p124 @p122 @p40) :args (@t74 @t121 (@list @t76 @t80))) % 0.39/0.61 (step @p126 :rule cnf_and_pos :args (@t105 0)) % 0.39/0.61 (step @p127 :rule reordering :premises (@p126) :args ((or @t99 @t108))) % 0.39/0.61 (step @p128 :rule chain_m_resolution :premises (@p127 @p119) :args (@t99 @t81 @t122)) % 0.39/0.61 (step @p129 :rule cnf_equiv_neg2 :args (@t102)) % 0.39/0.61 (step @p130 :rule chain_m_resolution :premises (@p129 @p83 @p116) :args (@t109 @t123 (@list @t102 @t101))) % 0.39/0.61 (step @p131 :rule cnf_and_neg :args (@t100)) % 0.39/0.61 (step @p132 :rule chain_m_resolution :premises (@p131 @p130 @p128) :args (@t117 @t123 (@list @t100 @t99))) % 0.39/0.61 (step @p133 :rule cnf_equiv_pos2 :args (@t115)) % 0.39/0.61 (step @p134 :rule reordering :premises (@p133) :args ((or @t98 @t120 @t116))) % 0.39/0.61 (step @p135 :rule chain_m_resolution :premises (@p134 @p132 @p109) :args (@t120 @t123 (@list @t98 @t115))) % 0.39/0.61 (step @p136 :rule cnf_and_neg :args (@t114)) % 0.39/0.61 (step @p137 :rule reordering :premises (@p136) :args ((or @t111 @t114 @t119 @t124))) % 0.39/0.61 (step @p138 :rule chain_m_resolution :premises (@p137 @p128 @p135 @p125) :args (@t124 (@list false true false) (@list @t99 @t114 @t74))) % 0.39/0.61 (step @p139 :rule skolemize :premises (@p138)) % 0.39/0.61 (step @p140 :rule bool-double-not-elim :args (@t125)) % 0.39/0.61 (step @p141 :rule refl :args (@t128)) % 0.39/0.61 (step @p142 :rule nary_cong :premises (@p141 @p140) :args ((or @t128 (not @t127)))) % 0.39/0.61 (step @p143 :rule cnf_or_neg :args (@t128 1)) % 0.39/0.61 (step @p144 :rule eq_resolve :premises (@p143 @p142)) % 0.39/0.61 (step @p145 :rule reordering :premises (@p144) :args ((or @t125 @t128))) % 0.39/0.61 (step @p146 :rule chain_m_resolution :premises (@p145 @p139) :args (@t125 @t104 @t129)) % 0.39/0.61 (step @p147 :rule cnf_equiv_pos1 :args (@t131)) % 0.39/0.61 (step @p148 :rule reordering :premises (@p147) :args ((or @t127 @t130 (not @t131)))) % 0.39/0.61 (step @p149 :rule chain_m_resolution :premises (@p148 @p146 @p30) :args (@t130 @t121 (@list @t125 @t131))) % 0.39/0.61 (step @p150 :rule cnf_or_neg :args (@t128 2)) % 0.39/0.61 (step @p151 :rule chain_m_resolution :premises (@p150 @p139) :args ((not @t126) @t104 @t129)) % 0.39/0.61 (step @p152 :rule cnf_or_pos :args (@t132)) % 0.39/0.61 (step @p153 :rule reordering :premises (@p152) :args ((or @t111 @t126 @t133))) % 0.39/0.61 (step @p154 :rule chain_m_resolution :premises (@p153 @p128 @p151) :args (@t133 (@list false true) (@list @t99 @t126))) % 0.39/0.61 (assume-push @p163 @t130) % 0.39/0.61 (step @p156 :rule instantiate :premises (@p149) :args ((@list @t68))) % 0.39/0.61 (step-pop @p164 :rule scope :premises (@p156)) % 0.39/0.61 (step @p157 :rule process_scope :premises (@p164) :args (@t132)) % 0.39/0.61 (step @p159 :rule implies_elim :premises (@p157)) % 0.39/0.61 (step @p160 false :rule chain_m_resolution :premises (@p159 @p154 @p149) :args (false @t123 (@list @t132 @t130))) % 0.39/0.61 ) % 0.39/0.61 % SZS output end Proof % 0.39/0.61 % cvc5 exiting %------------------------------------------------------------------------------