%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET807+4 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n008.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 0.38s 0.61s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SET807+4 : TPTP v9.2.1. Released v3.2.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n008.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 16:13:03 EDT 2026 % 0.19/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.61 % SZS status Theorem % 0.38/0.61 % SZS output start Proof % 0.38/0.61 ( % 0.38/0.61 (declare-sort $$unsorted 0) % 0.38/0.61 (declare-const tptp.pre_order (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.equivalence (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.subset_predicate $$unsorted) % 0.38/0.61 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.equivalence_class (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.empty_set $$unsorted) % 0.38/0.61 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.partition (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.61 (define @t2 () (@var "X" $$unsorted)) % 0.38/0.61 (define @t3 () (tptp.member @t2 @t1)) % 0.38/0.61 (define @t4 () (@var "A" $$unsorted)) % 0.38/0.61 (define @t5 () (tptp.member @t2 @t4)) % 0.38/0.61 (define @t6 () (@list @t2)) % 0.38/0.61 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.38/0.61 (define @t8 () (tptp.subset @t4 @t1)) % 0.38/0.61 (define @t9 () (= @t8 @t7)) % 0.38/0.61 (define @t10 () (@list @t4 @t1)) % 0.38/0.61 (define @t11 () (forall @t10 @t9)) % 0.38/0.61 (define @t12 () (@list @t2 @t4)) % 0.38/0.61 (define @t13 () (and @t5 @t3)) % 0.38/0.61 (define @t14 () (@list @t2 @t4 @t1)) % 0.38/0.61 (define @t15 () (@var "E" $$unsorted)) % 0.38/0.61 (define @t16 () (= @t2 @t4)) % 0.38/0.61 (define @t17 () (@var "Y" $$unsorted)) % 0.38/0.61 (define @t18 () (tptp.member @t2 @t17)) % 0.38/0.61 (define @t19 () (tptp.member @t17 @t4)) % 0.38/0.61 (define @t20 () (@list @t17)) % 0.38/0.61 (define @t21 () (exists @t20 (and @t19 @t18))) % 0.38/0.61 (define @t22 () (@var "Z" $$unsorted)) % 0.38/0.61 (define @t23 () (and @t5 @t19)) % 0.38/0.61 (define @t24 () (@list @t2 @t17)) % 0.38/0.61 (define @t25 () (tptp.member @t2 @t15)) % 0.38/0.61 (define @t26 () (@var "R" $$unsorted)) % 0.38/0.61 (define @t27 () (tptp.apply @t26 @t2 @t22)) % 0.38/0.61 (define @t28 () (tptp.apply @t26 @t17 @t22)) % 0.38/0.61 (define @t29 () (tptp.apply @t26 @t2 @t17)) % 0.38/0.61 (define @t30 () (and @t29 @t28)) % 0.38/0.61 (define @t31 () (=> @t30 @t27)) % 0.38/0.61 (define @t32 () (@list @t2 @t17 @t22)) % 0.38/0.61 (define @t33 () (tptp.apply @t26 @t2 @t2)) % 0.38/0.61 (define @t34 () (tptp.member @t22 @t15)) % 0.38/0.61 (define @t35 () (tptp.member @t17 @t15)) % 0.38/0.61 (define @t36 () (and @t25 @t35 @t34)) % 0.38/0.61 (define @t37 () (forall @t32 (=> @t36 @t31))) % 0.38/0.61 (define @t38 () (forall @t6 (=> @t25 @t33))) % 0.38/0.61 (define @t39 () (and @t38 @t37)) % 0.38/0.61 (define @t40 () (tptp.pre_order @t26 @t15)) % 0.38/0.61 (define @t41 () (= @t40 @t39)) % 0.38/0.61 (define @t42 () (forall (@list @t26 @t15) @t41)) % 0.38/0.61 (define @t43 () (tptp.apply tptp.subset_predicate @t2 @t17)) % 0.38/0.61 (define @t44 () (forall (@list @t15) (tptp.pre_order tptp.subset_predicate (tptp.power_set @t15)))) % 0.38/0.61 (define @t45 () (tptp.power_set (@quantifiers_skolemize @t44 0))) % 0.38/0.61 (define @t46 () (not (tptp.member @t2 @t45))) % 0.38/0.61 (define @t47 () (forall @t32 (or @t46 (not (tptp.member @t17 @t45)) (not (tptp.member @t22 @t45)) (not @t43) (not (tptp.apply tptp.subset_predicate @t17 @t22)) (tptp.apply tptp.subset_predicate @t2 @t22)))) % 0.38/0.61 (define @t48 () (@quantifiers_skolemize @t47 2)) % 0.38/0.61 (define @t49 () (@quantifiers_skolemize @t47 0)) % 0.38/0.61 (define @t50 () (@list @t49 @t48)) % 0.38/0.61 (define @t51 () (forall @t6 (or @t46 (tptp.apply tptp.subset_predicate @t2 @t2)))) % 0.38/0.61 (define @t52 () (@quantifiers_skolemize @t51 0)) % 0.38/0.61 (define @t53 () (@list @t52 @t52)) % 0.38/0.61 (define @t54 () (tptp.subset @t52 @t52)) % 0.38/0.61 (define @t55 () (tptp.member @t2 @t52)) % 0.38/0.61 (define @t56 () (forall @t6 (or (not @t55) @t55))) % 0.38/0.61 (define @t57 () (= @t54 @t56)) % 0.38/0.61 (define @t58 () (forall @t10 (= @t8 (forall @t6 (or (not @t5) @t3))))) % 0.38/0.61 (define @t59 () (@list false)) % 0.38/0.61 (define @t60 () (tptp.apply tptp.subset_predicate @t52 @t52)) % 0.38/0.61 (define @t61 () (= @t60 @t54)) % 0.38/0.61 (define @t62 () (@list false false)) % 0.38/0.61 (define @t63 () (or (not (tptp.member @t52 @t45)) @t60)) % 0.38/0.61 (define @t64 () (not @t63)) % 0.38/0.61 (define @t65 () (not @t51)) % 0.38/0.61 (define @t66 () (not @t28)) % 0.38/0.61 (define @t67 () (not @t29)) % 0.38/0.61 (define @t68 () (not @t34)) % 0.38/0.61 (define @t69 () (not @t35)) % 0.38/0.61 (define @t70 () (not @t25)) % 0.38/0.61 (define @t71 () (or @t67 @t66 @t27)) % 0.38/0.61 (define @t72 () (or @t70 @t69 @t68)) % 0.38/0.61 (define @t73 () (and @t51 @t47)) % 0.38/0.61 (define @t74 () (tptp.pre_order tptp.subset_predicate @t45)) % 0.38/0.61 (define @t75 () (= @t74 @t73)) % 0.38/0.61 (define @t76 () (not @t73)) % 0.38/0.61 (define @t77 () (@list true false)) % 0.38/0.61 (define @t78 () (not @t47)) % 0.38/0.61 (define @t79 () (tptp.apply tptp.subset_predicate @t49 @t48)) % 0.38/0.61 (define @t80 () (@quantifiers_skolemize @t47 1)) % 0.38/0.61 (define @t81 () (tptp.apply tptp.subset_predicate @t80 @t48)) % 0.38/0.61 (define @t82 () (not @t81)) % 0.38/0.61 (define @t83 () (tptp.apply tptp.subset_predicate @t49 @t80)) % 0.38/0.61 (define @t84 () (not @t83)) % 0.38/0.61 (define @t85 () (or (not (tptp.member @t49 @t45)) (not (tptp.member @t80 @t45)) (not (tptp.member @t48 @t45)) @t84 @t82 @t79)) % 0.38/0.61 (define @t86 () (not @t85)) % 0.38/0.61 (define @t87 () (@list true)) % 0.38/0.61 (define @t88 () (@list @t85)) % 0.38/0.61 (define @t89 () (tptp.subset @t49 @t48)) % 0.38/0.61 (define @t90 () (= @t79 @t89)) % 0.38/0.61 (define @t91 () (not @t89)) % 0.38/0.61 (define @t92 () (tptp.member @t2 @t48)) % 0.38/0.61 (define @t93 () (not (tptp.member @t2 @t49))) % 0.38/0.61 (define @t94 () (forall @t6 (or @t93 @t92))) % 0.38/0.61 (define @t95 () (= @t89 @t94)) % 0.38/0.61 (define @t96 () (not @t94)) % 0.38/0.61 (define @t97 () (@quantifiers_skolemize @t94 0)) % 0.38/0.61 (define @t98 () (tptp.member @t97 @t48)) % 0.38/0.61 (define @t99 () (tptp.member @t97 @t49)) % 0.38/0.61 (define @t100 () (not @t99)) % 0.38/0.61 (define @t101 () (or @t100 @t98)) % 0.38/0.61 (define @t102 () (not @t101)) % 0.38/0.61 (define @t103 () (@list @t101)) % 0.38/0.61 (define @t104 () (@list @t80 @t48)) % 0.38/0.61 (define @t105 () (tptp.subset @t80 @t48)) % 0.38/0.61 (define @t106 () (= @t81 @t105)) % 0.38/0.61 (define @t107 () (tptp.member @t2 @t80)) % 0.38/0.61 (define @t108 () (forall @t6 (or (not @t107) @t92))) % 0.38/0.61 (define @t109 () (= @t105 @t108)) % 0.38/0.61 (define @t110 () (@list @t97)) % 0.38/0.61 (define @t111 () (tptp.member @t97 @t80)) % 0.38/0.61 (define @t112 () (not @t111)) % 0.38/0.61 (define @t113 () (or @t112 @t98)) % 0.38/0.61 (define @t114 () (@list @t49 @t80)) % 0.38/0.61 (define @t115 () (tptp.subset @t49 @t80)) % 0.38/0.61 (define @t116 () (= @t83 @t115)) % 0.38/0.61 (define @t117 () (forall @t6 (or @t93 @t107))) % 0.38/0.61 (define @t118 () (= @t115 @t117)) % 0.38/0.61 (define @t119 () (or @t100 @t111)) % 0.38/0.61 (assume @p1 @t11) % 0.38/0.61 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.38/0.61 (assume @p3 (forall @t12 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.38/0.61 (assume @p4 (forall @t14 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) @t13))) % 0.38/0.61 (assume @p5 (forall @t14 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.38/0.61 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.38/0.61 (assume @p7 (forall (@list @t1 @t4 @t15) (= (tptp.member @t1 (tptp.difference @t15 @t4)) (and (tptp.member @t1 @t15) (not (tptp.member @t1 @t4)))))) % 0.38/0.61 (assume @p8 (forall @t12 (= (tptp.member @t2 (tptp.singleton @t4)) @t16))) % 0.38/0.61 (assume @p9 (forall @t14 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t16 (= @t2 @t1))))) % 0.38/0.61 (assume @p10 (forall @t12 (= (tptp.member @t2 (tptp.sum @t4)) @t21))) % 0.38/0.61 (assume @p11 (forall @t12 (= (tptp.member @t2 (tptp.product @t4)) (forall @t20 (=> @t19 @t18))))) % 0.38/0.61 (assume @p12 (forall @t10 (= (tptp.disjoint @t4 @t1) (not (exists @t6 @t13))))) % 0.38/0.61 (assume @p13 (forall (@list @t4 @t15) (= (tptp.partition @t4 @t15) (and (forall @t6 (=> @t5 (tptp.subset @t2 @t15))) (forall @t6 (=> @t25 @t21)) (forall @t24 (=> @t23 (=> (exists (@list @t22) (and (tptp.member @t22 @t2) (tptp.member @t22 @t17))) (= @t2 @t17)))))))) % 0.38/0.61 (assume @p14 (forall (@list @t4 @t26) (= (tptp.equivalence @t26 @t4) (and (forall @t6 (=> @t5 @t33)) (forall @t24 (=> @t23 (=> @t29 (tptp.apply @t26 @t17 @t2)))) (forall @t32 (=> (and @t5 @t19 (tptp.member @t22 @t4)) @t31)))))) % 0.38/0.61 (assume @p15 (forall (@list @t26 @t15 @t4 @t2) (= (tptp.member @t2 (tptp.equivalence_class @t4 @t15 @t26)) (and @t25 (tptp.apply @t26 @t4 @t2))))) % 0.38/0.61 (assume @p16 @t42) % 0.38/0.61 (assume @p17 (forall @t24 (= @t43 (tptp.subset @t2 @t17)))) % 0.38/0.61 (assume @p18 (not @t44)) % 0.38/0.61 (assume @p19 true) % 0.38/0.61 (step @p20 :rule bool-impl-elim :args (@t5 @t3)) % 0.38/0.61 (step @p21 :rule cong :premises (@p20) :args (@t7)) % 0.38/0.61 (step @p22 :rule refl :args (@t8)) % 0.38/0.61 (step @p23 :rule cong :premises (@p22 @p21) :args (@t9)) % 0.38/0.61 (step @p24 :rule cong :premises (@p23) :args (@t11)) % 0.38/0.61 (step @p25 :rule eq_resolve :premises (@p1 @p24)) % 0.38/0.61 (step @p26 :rule instantiate :premises (@p25) :args (@t50)) % 0.38/0.61 (step @p27 :rule instantiate :premises (@p17) :args (@t50)) % 0.38/0.61 (step @p28 :rule instantiate :premises (@p17) :args (@t53)) % 0.38/0.61 (step @p29 :rule bool-eq-true :args (@t54)) % 0.38/0.61 (step @p30 :rule quant-unused-vars :args ((= (forall @t6 true) true))) % 0.38/0.61 (step @p31 :rule bool-or-taut2 :args (false @t55 false false)) % 0.38/0.61 (step @p32 :rule cong :premises (@p31) :args (@t56)) % 0.38/0.61 (step @p33 :rule trans :premises (@p32 @p30)) % 0.38/0.61 (step @p34 :rule refl :args (@t54)) % 0.38/0.61 (step @p35 :rule cong :premises (@p34 @p33) :args (@t57)) % 0.38/0.61 (step @p36 :rule trans :premises (@p35 @p29)) % 0.38/0.61 (step @p37 :rule refl :args (@t58)) % 0.38/0.61 (step @p38 :rule cong :premises (@p37 @p36) :args ((=> @t58 @t57))) % 0.38/0.61 (assume-push @p179 @t58) % 0.38/0.61 (step @p40 :rule instantiate :premises (@p25) :args (@t53)) % 0.38/0.61 (step-pop @p180 :rule scope :premises (@p40)) % 0.38/0.61 (step @p41 :rule process_scope :premises (@p180) :args (@t57)) % 0.38/0.61 (step @p43 :rule eq_resolve :premises (@p41 @p38)) % 0.38/0.61 (step @p44 :rule implies_elim :premises (@p43)) % 0.38/0.61 (step @p45 :rule chain_m_resolution :premises (@p44 @p25) :args (@t54 @t59 (@list @t58))) % 0.38/0.61 (step @p46 :rule cnf_equiv_pos2 :args (@t61)) % 0.38/0.61 (step @p47 :rule reordering :premises (@p46) :args ((or @t60 (not @t54) (not @t61)))) % 0.38/0.61 (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p28) :args (@t60 @t62 (@list @t54 @t61))) % 0.38/0.61 (step @p49 :rule cnf_or_neg :args (@t63 1)) % 0.38/0.61 (step @p50 :rule chain_m_resolution :premises (@p49 @p48) :args (@t63 @t59 (@list @t60))) % 0.38/0.61 (step @p51 :rule refl :args (@t64)) % 0.38/0.61 (step @p52 :rule bool-double-not-elim :args (@t51)) % 0.38/0.61 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or (not @t65) @t64))) % 0.38/0.61 (assume-push @p181 @t65) % 0.38/0.61 (step @p55 :rule skolemize :premises (@p181)) % 0.38/0.61 (step-pop @p182 :rule scope :premises (@p55)) % 0.38/0.61 (step @p56 :rule process_scope :premises (@p182) :args (@t64)) % 0.38/0.61 (step @p58 :rule implies_elim :premises (@p56)) % 0.38/0.62 (step @p59 :rule eq_resolve :premises (@p58 @p53)) % 0.38/0.62 (step @p60 :rule chain_m_resolution :premises (@p59 @p50) :args (@t51 @t59 (@list @t63))) % 0.38/0.62 (step @p61 :rule aci_norm :args ((= (or @t72 @t71) (or @t70 @t69 @t68 @t67 @t66 @t27)))) % 0.38/0.62 (step @p62 :rule aci_norm :args ((= (or (or @t67 @t66) @t27) @t71))) % 0.38/0.62 (step @p63 :rule refl :args (@t27)) % 0.38/0.62 (step @p64 :rule bool-and-de-morgan :args (@t29 @t28 true)) % 0.38/0.62 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or (not @t30) @t27))) % 0.38/0.62 (step @p66 :rule trans :premises (@p65 @p62)) % 0.38/0.62 (step @p67 :rule bool-impl-elim :args (@t30 @t27)) % 0.38/0.62 (step @p68 :rule trans :premises (@p67 @p66)) % 0.38/0.62 (step @p69 :rule aci_norm :args ((= (or @t70 (or @t69 @t68)) @t72))) % 0.38/0.62 (step @p70 :rule bool-and-de-morgan :args (@t35 @t34 true)) % 0.38/0.62 (step @p71 :rule refl :args (@t70)) % 0.38/0.62 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or @t70 (not (and @t35 @t34))))) % 0.38/0.62 (step @p73 :rule bool-and-de-morgan :args (@t25 @t35 (and @t34))) % 0.38/0.62 (step @p74 :rule trans :premises (@p73 @p72)) % 0.38/0.62 (step @p75 :rule trans :premises (@p74 @p69)) % 0.38/0.62 (step @p76 :rule nary_cong :premises (@p75 @p68) :args ((or (not @t36) @t31))) % 0.38/0.62 (step @p77 :rule trans :premises (@p76 @p61)) % 0.38/0.62 (step @p78 :rule bool-impl-elim :args (@t36 @t31)) % 0.38/0.62 (step @p79 :rule trans :premises (@p78 @p77)) % 0.38/0.62 (step @p80 :rule cong :premises (@p79) :args (@t37)) % 0.38/0.62 (step @p81 :rule bool-impl-elim :args (@t25 @t33)) % 0.38/0.62 (step @p82 :rule cong :premises (@p81) :args (@t38)) % 0.38/0.62 (step @p83 :rule nary_cong :premises (@p82 @p80) :args (@t39)) % 0.38/0.62 (step @p84 :rule refl :args (@t40)) % 0.38/0.62 (step @p85 :rule cong :premises (@p84 @p83) :args (@t41)) % 0.38/0.62 (step @p86 :rule cong :premises (@p85) :args (@t42)) % 0.38/0.62 (step @p87 :rule eq_resolve :premises (@p16 @p86)) % 0.38/0.62 (step @p88 :rule instantiate :premises (@p87) :args ((@list tptp.subset_predicate @t45))) % 0.38/0.62 (step @p89 :rule skolemize :premises (@p18)) % 0.38/0.62 (step @p90 :rule cnf_equiv_pos2 :args (@t75)) % 0.38/0.62 (step @p91 :rule reordering :premises (@p90) :args ((or @t74 @t76 (not @t75)))) % 0.38/0.62 (step @p92 :rule chain_m_resolution :premises (@p91 @p89 @p88) :args (@t76 @t77 (@list @t74 @t75))) % 0.38/0.62 (step @p93 :rule cnf_and_neg :args (@t73)) % 0.38/0.62 (step @p94 :rule chain_m_resolution :premises (@p93 @p92 @p60) :args (@t78 @t77 (@list @t73 @t51))) % 0.38/0.62 (step @p95 :rule refl :args (@t86)) % 0.38/0.62 (step @p96 :rule bool-double-not-elim :args (@t47)) % 0.38/0.62 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or (not @t78) @t86))) % 0.38/0.62 (assume-push @p183 @t78) % 0.38/0.62 (step @p99 :rule skolemize :premises (@p183)) % 0.38/0.62 (step-pop @p184 :rule scope :premises (@p99)) % 0.38/0.62 (step @p100 :rule process_scope :premises (@p184) :args (@t86)) % 0.38/0.62 (step @p102 :rule implies_elim :premises (@p100)) % 0.38/0.62 (step @p103 :rule eq_resolve :premises (@p102 @p97)) % 0.38/0.62 (step @p104 :rule chain_m_resolution :premises (@p103 @p94) :args (@t86 @t87 (@list @t47))) % 0.38/0.62 (step @p105 :rule cnf_or_neg :args (@t85 5)) % 0.38/0.62 (step @p106 :rule chain_m_resolution :premises (@p105 @p104) :args ((not @t79) @t87 @t88)) % 0.38/0.62 (step @p107 :rule cnf_equiv_pos2 :args (@t90)) % 0.38/0.62 (step @p108 :rule reordering :premises (@p107) :args ((or @t79 @t91 (not @t90)))) % 0.38/0.62 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p27) :args (@t91 @t77 (@list @t79 @t90))) % 0.38/0.62 (step @p110 :rule cnf_equiv_pos2 :args (@t95)) % 0.38/0.62 (step @p111 :rule reordering :premises (@p110) :args ((or @t89 @t96 (not @t95)))) % 0.38/0.62 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p26) :args (@t96 @t77 (@list @t89 @t95))) % 0.38/0.62 (step @p113 :rule refl :args (@t102)) % 0.38/0.62 (step @p114 :rule bool-double-not-elim :args (@t94)) % 0.38/0.62 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or (not @t96) @t102))) % 0.38/0.62 (assume-push @p185 @t96) % 0.38/0.62 (step @p117 :rule skolemize :premises (@p185)) % 0.38/0.62 (step-pop @p186 :rule scope :premises (@p117)) % 0.38/0.62 (step @p118 :rule process_scope :premises (@p186) :args (@t102)) % 0.38/0.62 (step @p120 :rule implies_elim :premises (@p118)) % 0.38/0.62 (step @p121 :rule eq_resolve :premises (@p120 @p115)) % 0.38/0.62 (step @p122 :rule chain_m_resolution :premises (@p121 @p112) :args (@t102 @t87 (@list @t94))) % 0.38/0.62 (step @p123 :rule cnf_or_neg :args (@t101 1)) % 0.38/0.62 (step @p124 :rule chain_m_resolution :premises (@p123 @p122) :args ((not @t98) @t87 @t103)) % 0.38/0.62 (step @p125 :rule instantiate :premises (@p25) :args (@t104)) % 0.38/0.62 (step @p126 :rule instantiate :premises (@p17) :args (@t104)) % 0.38/0.62 (step @p127 :rule bool-double-not-elim :args (@t81)) % 0.38/0.62 (step @p128 :rule refl :args (@t85)) % 0.38/0.62 (step @p129 :rule nary_cong :premises (@p128 @p127) :args ((or @t85 (not @t82)))) % 0.38/0.62 (step @p130 :rule cnf_or_neg :args (@t85 4)) % 0.38/0.62 (step @p131 :rule eq_resolve :premises (@p130 @p129)) % 0.38/0.62 (step @p132 :rule reordering :premises (@p131) :args ((or @t81 @t85))) % 0.38/0.62 (step @p133 :rule chain_m_resolution :premises (@p132 @p104) :args (@t81 @t87 @t88)) % 0.38/0.62 (step @p134 :rule cnf_equiv_pos1 :args (@t106)) % 0.38/0.62 (step @p135 :rule reordering :premises (@p134) :args ((or @t82 @t105 (not @t106)))) % 0.38/0.62 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p126) :args (@t105 @t62 (@list @t81 @t106))) % 0.38/0.62 (step @p137 :rule cnf_equiv_pos1 :args (@t109)) % 0.38/0.62 (step @p138 :rule reordering :premises (@p137) :args ((or (not @t105) @t108 (not @t109)))) % 0.38/0.62 (step @p139 :rule chain_m_resolution :premises (@p138 @p136 @p125) :args (@t108 @t62 (@list @t105 @t109))) % 0.38/0.62 (assume-push @p187 @t108) % 0.38/0.62 (step @p141 :rule instantiate :premises (@p187) :args (@t110)) % 0.38/0.62 (step-pop @p188 :rule scope :premises (@p141)) % 0.38/0.62 (step @p142 :rule process_scope :premises (@p188) :args (@t113)) % 0.38/0.62 (step @p144 :rule implies_elim :premises (@p142)) % 0.38/0.62 (step @p145 :rule chain_m_resolution :premises (@p144 @p139) :args (@t113 @t59 (@list @t108))) % 0.38/0.62 (step @p146 :rule instantiate :premises (@p25) :args (@t114)) % 0.38/0.62 (step @p147 :rule instantiate :premises (@p17) :args (@t114)) % 0.38/0.62 (step @p148 :rule bool-double-not-elim :args (@t83)) % 0.38/0.62 (step @p149 :rule nary_cong :premises (@p128 @p148) :args ((or @t85 (not @t84)))) % 0.38/0.62 (step @p150 :rule cnf_or_neg :args (@t85 3)) % 0.38/0.62 (step @p151 :rule eq_resolve :premises (@p150 @p149)) % 0.38/0.62 (step @p152 :rule reordering :premises (@p151) :args ((or @t83 @t85))) % 0.38/0.62 (step @p153 :rule chain_m_resolution :premises (@p152 @p104) :args (@t83 @t87 @t88)) % 0.38/0.62 (step @p154 :rule cnf_equiv_pos1 :args (@t116)) % 0.38/0.62 (step @p155 :rule reordering :premises (@p154) :args ((or @t84 @t115 (not @t116)))) % 0.38/0.62 (step @p156 :rule chain_m_resolution :premises (@p155 @p153 @p147) :args (@t115 @t62 (@list @t83 @t116))) % 0.38/0.62 (step @p157 :rule cnf_equiv_pos1 :args (@t118)) % 0.38/0.62 (step @p158 :rule reordering :premises (@p157) :args ((or (not @t115) @t117 (not @t118)))) % 0.38/0.62 (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p146) :args (@t117 @t62 (@list @t115 @t118))) % 0.38/0.62 (assume-push @p189 @t117) % 0.38/0.62 (step @p161 :rule instantiate :premises (@p189) :args (@t110)) % 0.38/0.62 (step-pop @p190 :rule scope :premises (@p161)) % 0.38/0.62 (step @p162 :rule process_scope :premises (@p190) :args (@t119)) % 0.38/0.62 (step @p164 :rule implies_elim :premises (@p162)) % 0.38/0.62 (step @p165 :rule chain_m_resolution :premises (@p164 @p159) :args (@t119 @t59 (@list @t117))) % 0.38/0.62 (step @p166 :rule bool-double-not-elim :args (@t99)) % 0.38/0.62 (step @p167 :rule refl :args (@t101)) % 0.38/0.62 (step @p168 :rule nary_cong :premises (@p167 @p166) :args ((or @t101 (not @t100)))) % 0.38/0.62 (step @p169 :rule cnf_or_neg :args (@t101 0)) % 0.38/0.62 (step @p170 :rule eq_resolve :premises (@p169 @p168)) % 0.38/0.62 (step @p171 :rule reordering :premises (@p170) :args ((or @t99 @t101))) % 0.38/0.62 (step @p172 :rule chain_m_resolution :premises (@p171 @p122) :args (@t99 @t87 @t103)) % 0.38/0.62 (step @p173 :rule cnf_or_pos :args (@t119)) % 0.38/0.62 (step @p174 :rule reordering :premises (@p173) :args ((or @t100 @t111 (not @t119)))) % 0.38/0.62 (step @p175 :rule chain_m_resolution :premises (@p174 @p172 @p165) :args (@t111 @t62 (@list @t99 @t119))) % 0.38/0.62 (step @p176 :rule cnf_or_pos :args (@t113)) % 0.38/0.62 (step @p177 :rule reordering :premises (@p176) :args ((or @t98 @t112 (not @t113)))) % 0.38/0.62 (step @p178 false :rule chain_m_resolution :premises (@p177 @p175 @p145 @p124) :args (false (@list false false true) (@list @t111 @t113 @t98))) % 0.38/0.62 ) % 0.38/0.62 % SZS output end Proof % 0.38/0.62 % cvc5 exiting %------------------------------------------------------------------------------